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**3 - 5*s**2 + s - 3. Let j be l(5). Let b(r) = 47*r - 1. Is b(j) prime? False Let n(c) = -7*c - 1. Let j be n(-2). Suppose 4*d = -j + 113. Is d a prime number? False Let m(f) = 13*f**2 + 3*f - 3. Is m(-6) a composite number? True Let m(i) = 4*i**2 + 4*i - 4. Let x be m(4). Suppose -101 = -3*l + x. Is l prime? True Suppose -r + 0*r + 4*u - 15 = 0, -32 = 4*r - 2*u. Let x(l) = -l**3 - 8*l**2 - 10*l - 2. Is x(r) a composite number? False Suppose 2*x + 0*x + 5 = -5*t, -x + t = -8. Let y = 588 - 206. Suppose x*n = -y + 1377. Is n a prime number? True Let y(v) = v**3 - 3*v**2 + 2. Let j be y(3). Let d = -17 - j. Let r = -8 - d. Is r a prime number? True Let l(q) = q**2 + 9*q + 3. Let k(y) = 2*y**2 + 10*y + 4. Let v(j) = -2*k(j) + 3*l(j). Let b be 8 + -1 - 4/2. Is v(b) a prime number? True Suppose -2*l + l + 2 = 0. Let t(w) = 1 + w**2 - 4 + 4*w + l. Is t(-8) prime? True Suppose 8*i - 3*i + 25 = 0. Let r(o) = 0*o + 7*o + o**2 - o**3 + 0*o. Is r(i) prime? False Suppose 2 = 2*r - r. Is (-5188)/(-28) + r/(-7) prime? False Suppose 4*s - 168 = 4*u, -4*s - s - u = -192. Let r be (32/3)/(4/(-12)). Let w = s - r. Is w prime? True Let l be ((-50)/(-4) - 2)*18. Suppose 5*d = 4*u - 2*u + l, 0 = -5*d + 5*u + 195. Suppose 2*f = 3*f - d. Is f prime? True Suppose -5*s - 3*x + 1030 = 0, 4*s + 104 = 5*x + 891. Is s composite? True Let p be ((-24)/36)/(2/(-6)). Suppose -4*b + i = -80, 4*i - 9 = -p*b + 13. Is b a composite number? False Let z(f) = -31*f + 28. Let l(n) = -15*n + 14. Let b(g) = -5*l(g) + 2*z(g). Is b(7) a composite number? True Let k = 103 + 236. Suppose -2*a - 5*s = -k, 3*s - 204 = -2*a + 125. Is a a prime number? True Let z(y) = 5*y + 2. Let h be z(6). Let v = 22 + h. Suppose 4*q - v = 46. Is q prime? False Suppose 0 = -3*t - 2*q - 603 + 2684, 0 = -t + 5*q + 671. Is t a prime number? True Suppose -x - 17310 = -7*x. Is x composite? True Suppose m + 5*t = 2*m - 668, 0 = m - 2*t - 671. Is m prime? True Let q = -727 - -484. Suppose 3*a - 263 = -743. Let v = a - q. Is v a composite number? False Let o = 325 - 149. Suppose 3*u = -5*f + 389, u - o = -5*f - 33. Is u a prime number? False Let b(o) = 329*o - 8. Let z(x) = x**2 - 3*x - 13. Let s be z(6). Is b(s) prime? True Let b = 107 - 54. Is b a prime number? True Let w be 234/1 + 3*1. Suppose -c - 2*c = -w. Is c a composite number? False Let q(v) = 3*v**2 - 28*v - 25. Let f(j) = -j**2 + 9*j + 8. Let l(r) = 8*f(r) + 3*q(r). Is l(-8) a composite number? False Let s(f) be the third derivative of f**5/60 + f**4/12 - 11*f**3/6 - 3*f**2. Is s(-10) a prime number? False Let t(h) = h**3 - 5*h**2 + 5*h - 5. Let o be t(4). Let j be (2/(-5))/(o/5). Suppose -j*b + 37 = -b. Is b prime? True Let k = -95 - -134. Let r be (-2 - 16/(-3))*k. Suppose -2*t = 3*t - r. Is t prime? False Suppose 0 = -u - 4*a + 15, -4*a + 15 = 3. Suppose -7 - 173 = -4*i. Suppose -u = 3*f - i. Is f a prime number? False Let f = 7 + 15. Let j = 24 - 22. Is f + (j - 2)/3 prime? False Suppose 2125 = 3*c + w, 5*c + 2*w = -0*w + 3543. Is c a prime number? False Let y be 2/(-4)*0/15. Suppose 0 = l - 4, -3*u = -y*u - l - 377. Is u prime? True Let q(s) = s**2 - 2*s + 18. Let v be q(14). Let h = v + -112. Is h a composite number? True Suppose 6*q = -201 + 735. Let s be (-30)/8 - (-1)/(-4). Is 9/12 - q/s prime? True Let d be (-6)/10 + (-3864)/(-15). Suppose 0*n - n + d = 0. Is n prime? True Suppose 2*b + 581 = 39. Let z = b - -398. Is z prime? True Let h(a) be the second derivative of -19*a**3/3 - a**2/2 + 20*a. Let w = -2 + 1. Is h(w) a prime number? True Let m = -1343 - -3126. Is m prime? True Let m(w) = w**3 - w**2 + w - 730. Let y be m(0). Suppose -3*a + 2 = -a. Is a/3 - y/15 composite? True Let y = 0 + -3. Let t = y + 14. Is t prime? True Let m be (-1 - -6)*24/20. Let g(h) = -1 + 2*h**3 - 2*h + 2*h - 6*h**2 + m. Is g(4) prime? True Suppose 5*b = 4*x + b - 20, 0 = x + 4*b. Is (1 - 221/x)*-4 a prime number? False Let a(o) = 89*o - 75. Is a(13) composite? True Let b = 2 - -1. Let v(z) = -3*z + z**2 - 4 + z + 8. Is v(b) a composite number? False Is (127 - -3)/1 - -1 composite? False Let d be (33/9)/((-1)/(-3)). Let f = -9 + d. Suppose 5*b + 0*a - 475 = -f*a, b = a + 102. Is b a prime number? True Is (-1 - 0) + (4 + -9 - -14963) a composite number? False Suppose -5*x - 520 = -j - 0*j, -1540 = -3*j - 5*x. Is j a composite number? True Is 1 + 222/(-1 - -2) prime? True Let m = -1 + 4. Is m composite? False Let p = 2260 - 899. Is p composite? False Let n(r) = 180*r - 61. Is n(21) composite? False Let j be (1 - 0)/((-2)/(-550)). Suppose 0 = 3*l + 2*l - j. Is l a composite number? True Suppose -u + d + 3345 = -2318, 0 = -d. Is u prime? False Let q(l) = -l + 4. Let p be q(0). Suppose t - p*t = 0. Suppose t*c - 4*c = -232. Is c composite? True Let k(f) = 2*f**3 + 4*f**2 - 3*f + 13. Is k(6) a prime number? True Let m = -79 + 112. Suppose -2*s + 4*y - 8 + 74 = 0, 3*s = 5*y + 102. Suppose 2*u = -z + s, 0 = z - 0*z - u - m. Is z a composite number? True Let o(w) = 4*w**2 + w + 7. Let q be o(6). Let i = q + -74. Is i composite? False Suppose -2*k = 4 + 20. Is 33/(-6)*k/2 composite? True Suppose 0 = 4*w + 7*w - 37147. Is w a prime number? False Suppose -4*v = 0, 2*f = -v + 81 + 679. Suppose 2*d + 3*q = -q + 198, -f = -4*d - 4*q. Is d composite? True Let d = -2 - -33. Let v = 60 - d. Suppose -i + v + 6 = 0. Is i a composite number? True Let m be (5 - -1) + (1 - 2). Suppose -m*v = -154 - 1341. Is v composite? True Let d = -222 + 421. Is d a composite number? False Let o = 72 - 44. Let t = o + -17. Let z = t + 10. Is z a composite number? True Let w = 5 - 3. Suppose -2*u + 5*f + 3 + 5 = 0, 0 = -2*u - w*f + 8. Suppose 3*q + q - 176 = u*g, -3*q - g + 128 = 0. Is q composite? False Suppose 0 = -3*o - 3 - 15. Let q = o - -11. Let i = 12 - q. Is i composite? False Let t = 281 + -199. Is t composite? True Let h(o) = 2*o - 1. Let r(f) = -f. Let u(p) = -6*h(p) - 7*r(p). Let w be u(-7). Suppose w = 4*j - 3. Is j a prime number? True Suppose 0 = -4*n + 3 + 5. Is (39/12)/(n/56) prime? False Suppose 3*i + i - 1184 = 0. Let f be ((-21)/14)/((-6)/i). Suppose m + m = f. Is m composite? False Is (162 + 0 - -2)*5/4 a composite number? True Suppose -2*g + 3 + 67 = -2*r, -155 = 5*r - g. Is r/70 - 766/(-7) prime? True Let m(g) = g**3 - 4*g**2 - 5*g - 4. Let k be m(5). Let q = -1 - k. Is q composite? False Suppose -3*b - 5 = -2. Let u(g) = 173*g**2 - 1. Let m be u(b). Suppose v = -4*o + m + 149, -o + 4*v = -59. Is o composite? False Let k = -1331 + 1866. Is k composite? True Let q be 122 - (-1)/(3/(-6)). Suppose 16 = -4*s + q. Is s composite? True Let x be (-3)/(38/(-16) - -2). Suppose -n = -x*v + 3*v - 26, 0 = 3*n - v - 134. Suppose -3*m = 5*g - 41, 7 = 5*g - m - n. Is g a composite number? True Suppose q + 3*c = 148, 2*q = 3*c + 435 - 112. Is q prime? True Suppose -2*m - 4*x + 8*x + 720 = 0, -1087 = -3*m - x. Suppose -1006 + m = -2*i + 2*c, 4*i - c - 1291 = 0. Is i a prime number? False Let b(z) = z**2 - 10*z + 10. Let p be b(-9). Is (-3)/(-6) - p/(-2) a prime number? False Suppose 0 = 13*b - 15*b + 5866. Is b a composite number? True Let q = -51 + 88. Is q prime? True Suppose -23*c + 29*c = 42. Is c composite? False Let z(o) = -10*o - 3. Let f be (2/4)/(7/112). Let d = -17 + f. Is z(d) prime? False Let h(z) = 42*z + 11. Is h(6) a prime number? True Let y = -59 - -186. Is y a prime number? True Suppose -76 = -4*j + 200. Let o = -22 + j. Is o a composite number? False Is 224543/165 + (-2)/(-15) a composite number? False Let f(l) = -2*l. Let w be f(-3). Is 6*(w/4 + 2) composite? True Let w(a) be the first derivative of 3*a**2 + a - 3. Is w(3) a composite number? False Let m = 0 - 11. Let i = 20 - m. Is i a composite number? False Let i(b) = -b**2 - b + b - b + 2*b**2. Is i(3) a prime number? False Suppose -4*q - 320 + 1484 = 0. Let b = q - -64. Is b a prime number? False Suppose 4*p + 435 = 3*c, 5*c - p = 2*p + 725. Is c composite? True Let m(r) = r**3 + 8*r**2 + 7*r + 2. Let p be 8/(-20) + 33/(-5). Let v be m(p). Suppose -2*j + 3*a = -127, -v*a = -4*j - 4*a + 262. Is j prime? False Let j = -128 + 467. Is j prime? False Let n(a) = -a + 15. Let l be n(15). Suppose l*g - 2*g = -230. Is g a prime number? False Let h = 2906 - 1395. Is h a composite number? False Suppose 2*l = -f + 1145, -3*f - f +
{ "pile_set_name": "DM Mathematics" }
-2 + 2 - f + 4 - 2*f**2. Determine 8*p(u) - 3*t(u). 2*u**2 + u - 1 Let d(s) = s**2 - 1. Let q(z) = 4*z**2 - 3. Calculate -12*d(j) + 4*q(j). 4*j**2 Let m(p) = -p. Let b(v) = 5*v + 1. Let u(q) = -b(q) - 2*m(q). Let y(d) = d. Suppose -3*z = -2*z + 4. Determine z*y(s) - u(s). -s + 1 Let z be ((-2)/(-4))/((-4)/(-24)). Let s(c) = 5*c + 1. Let q(g) be the first derivative of 7*g**2 + 3*g + 8. Determine z*q(j) - 8*s(j). 2*j + 1 Suppose b - 4 = -a + 6, 4*a = -3*b + 29. Let d(t) = 2*t - 1. Let v(x) = -9*x + 6. What is b*d(m) + 2*v(m)? 4*m + 1 Let y(b) = 5*b**3 - 3*b**2 - 4. Let k(z) be the third derivative of 5/6*z**3 + 0*z - 10*z**2 + 1/15*z**5 + 0*z**4 + 0 - 1/20*z**6. Determine 3*k(i) + 4*y(i). 2*i**3 - 1 Let k(v) = -5*v**3 + 2*v**2 - v. Let u(s) = -s**3 + s**2 - s. Give -k(q) + 4*u(q). q**3 + 2*q**2 - 3*q Let u(b) = -6*b**3 + 7*b**2 + 5. Let h(x) = -5*x**3 + 6*x**2 + 4. Let f = -17 + 7. Let w = f + 14. Calculate w*u(a) - 5*h(a). a**3 - 2*a**2 Suppose 0 = 13*b - 12*b + 9. Let c(z) = -8*z**3 - 2*z**2 - 2. Let q(a) = 33*a**3 + 9*a**2 + 9. What is b*c(f) - 2*q(f)? 6*f**3 Let y(a) = -5*a**2 + 17*a + 5. Let m(n) = 9*n**2 - 33*n - 9. Determine 4*m(z) + 7*y(z). z**2 - 13*z - 1 Let p(j) = 2*j - 2. Let g(d) = -13*d. Let i be g(-1). Let y(s) = s - 1. Let r be (-27)/(-6)*(-20)/15. Determine i*y(q) + r*p(q). q - 1 Let l = -149 + 145. Let f(n) = n - 1. Let q(p) = -2*p + 2. Let o be (-1 - -2)*(-1 - 6). What is l*q(j) + o*f(j)? j - 1 Let y(t) be the third derivative of t**5/30 + t**4/8 + t**3/6 - 24*t**2. Let m(r) = 5*r**2 + 8*r + 3. Calculate 3*m(x) - 8*y(x). -x**2 + 1 Let d(t) = -100*t. Let u(z) = -9*z. What is -4*d(i) + 45*u(i)? -5*i Let z(h) be the second derivative of 5*h**3/6 + 3*h**2 - 9*h. Let r(o) = 4*o + 5. Calculate 6*r(g) - 5*z(g). -g Let n be (2 - 1)*6/(-2). Let x(q) = -q**2 + q + 1. Let t be 10/(6/(-3)) + 4. Let s(o) = 4*o**2 - 5*o - 1. What is n*x(z) + t*s(z)? -z**2 + 2*z - 2 Let a(q) = -17*q**2 + 17*q - 17. Let s(x) = 8*x**2 - 8*x + 8. Calculate -6*a(k) - 13*s(k). -2*k**2 + 2*k - 2 Let y(z) = -14*z + 12. Let f(b) = 5*b - 4. Calculate -11*f(m) - 4*y(m). m - 4 Let l(u) = -16*u + 7. Let y(k) = 4*k - 2. Determine 6*l(b) + 22*y(b). -8*b - 2 Let q = 6 - 4. Let p(b) = -3*b + 13. Let z be p(5). Let c(x) be the third derivative of -x**4/24 - x**3/3 - x**2. Let n(d) = -2. What is q*c(a) + z*n(a)? -2*a Let h(c) = -c + 1. Let g(n) = 5*n - 9. What is g(u) + 4*h(u)? u - 5 Suppose -2*l + 16 = 4*f, -l - l - 3*f = -12. Let k be -1 + 1*(-1 - l). Let a(v) = v. Let z(b) = -6*b. Determine k*z(r) - 14*a(r). -2*r Let r(i) = 12*i**2 + 6*i + 8. Let h(t) = -4*t**2 - 2*t - 3. Give -8*h(c) - 3*r(c). -4*c**2 - 2*c Let a(o) = 8*o - 4. Let t(l) = -2*l + 2. Let j(x) = -3*x + 3. Let m(s) = -5*j(s) + 7*t(s). What is -a(k) + 4*m(k)? -4*k Let m = 6 - 11. Let h(i) = -i**2 + i - 1. Let o(r) = -r**2 - 13*r + 9. Let l(n) = 6*h(n) + o(n). Let p(q) = -6*q**2 - 6*q + 2. Determine m*p(j) + 4*l(j). 2*j**2 + 2*j + 2 Let k(j) = -8*j**3 + 17*j**2 - 5*j + 5. Let a(r) = 12*r**3 - 26*r**2 + 8*r - 8. Calculate -5*a(o) - 8*k(o). 4*o**3 - 6*o**2 Let n(k) = -9*k**2 + 9*k - 6. Let p(a) = -4*a**2 + 4*a - 3. Determine 3*n(g) - 7*p(g). g**2 - g + 3 Let b(s) = -2. Let h(k) = -k + 9. Let q(a) = 2*a - 18. Let g(y) = 11*h(y) + 6*q(y). Let c be g(11). Let v(o) = 0*o + 3 + o - 1. What is c*b(z) + 2*v(z)? 2*z Let y(w) = -6*w**2 + 2*w**2 - 3*w**2. Let c(m) be the first derivative of -20*m**3/3 - 1. Calculate -6*c(i) + 17*y(i). i**2 Let w(p) = 1. Let j(z) = z**2 - 2*z + 8. Calculate -j(x) + 4*w(x). -x**2 + 2*x - 4 Let j(s) = -2*s**3 - 3*s**2 + 3. Let v(o) = -5*o**3 - 7*o**2 + 7. Let z be 54/(-4) - 8/16. Determine z*j(r) + 6*v(r). -2*r**3 Let d = 9 + -7. Let h be (-1)/(-2)*(0 + 8). Suppose 0 = -2*r - 0 - h. Let f(k) = k**2 - k. Let l(o) = -o. Determine d*f(j) + r*l(j). 2*j**2 Let r(x) = -9*x**2 - 6*x - 9. Let o(l) = -14*l**2 - 9*l - 14. Determine 5*o(a) - 8*r(a). 2*a**2 + 3*a + 2 Let v(l) = -20*l. Let x(t) = -4*t - 4640 + 4640. What is 3*v(m) - 16*x(m)? 4*m Let w = -61 + 60. Let d(b) = -1. Let t(r) = r + 1. Determine w*d(k) - t(k). -k Let i(o) = -12*o + 1. Let w(b) = b + 1. Determine i(l) - 2*w(l). -14*l - 1 Let r(t) = -10*t**3 - 4*t**2 + 4*t - 7. Let k(h) = -7*h**3 - 3*h**2 + 3*h - 5. Let x = -68 - -75. Determine x*k(v) - 5*r(v). v**3 - v**2 + v Let k(u) = 11*u**3 - 7*u**2 - 3*u + 7. Let y(w) = 5*w**3 - 3*w**2 - 2*w + 3. What is 3*k(r) - 7*y(r)? -2*r**3 + 5*r Let a(s) = -s**3. Suppose -4*r = 0, r - 6*r = 4*b + 4. Let v(l) = l + 5*l**3 + 4*l**2 - 4*l**2 - 8*l**3. Determine b*v(n) + 4*a(n). -n**3 - n Let r(h) = -h**2 - 3*h + 5. Let j(k) = -k**2. What is 2*j(p) - r(p)? -p**2 + 3*p - 5 Let p(g) = -3*g**2 - 5*g - 1. Let w(k) = -2*k**2 - 4*k - 1. Let o(u) = -5*u + 5. Let n be o(2). Give n*w(b) + 4*p(b). -2*b**2 + 1 Let g(y) = y**3 - y**2 - y - 1. Let n(z) = 6*z**3 - 4*z**2 - 5*z - 4. What is -5*g(w) + n(w)? w**3 + w**2 + 1 Let f(g) = -3*g - 3. Let b(k) = k + 2. Determine 5*b(h) + 2*f(h). -h + 4 Let v(p) = -p**2 - 2. Let n(c) = -6*c**2 - 11. Let h be ((-12)/(-18))/(4/(-66)). Determine h*v(l) + 2*n(l). -l**2 Let m(n) = 2*n**2 - 13*n**2 - 11 + 6*n**3 - 11*n + 0*n**3. Let b(p) = p**3 - 2*p**2 - 2*p - 2. Determine 33*b(a) - 6*m(a). -3*a**3 Let q be (-11)/2 + 21/(-6) + 3. Let i(t) = -t + 1. Let v(p) = -9*p + 8. Give q*i(c) + v(c). -3*c + 2 Let v(o) = -9*o - 9. Let m(w) = 5*w + 5. Suppose -3*c + r = 29, c - 6 + 15 = r. Let x = -16 - c. Calculate x*v(s) - 11*m(s). -s - 1 Let q(i) = -5*i + 3. Let v(j) = -j - 4. Let k be v(-6). Suppose 2*d + 0*d + k*c = -12, 2*d + 4*c = -2. Let p(n) = -2*n + 1. Give d*p(w) + 4*q(w). 2*w + 1 Let x(a) = 14*a**3 - 3*a**2 - 3. Let u(h) = 363*h**3 - 77*h**2 - 77. Calculate 3*u(v) - 77*x(v). 11*v**3 Let t be 7*((-1 - -4) + -2). Let q(j) = 4*j**2 + j - 2. Let l(f) = -6*f**2 - f + 3. Give t*q(h) + 5*l(h). -2*h**2 + 2*h + 1 Let w be -1 - (10/55 + (-35)/11). Let s(j) = -4*j**2 - 3*j + 1. Let r(o) = -o**2 - o. Determine w*s(n) - 6*r(n). -2*n**2 + 2 Let f(m) = m**2 + m - 1. Let p(n) = -4*n**3 - 8*n**2 - 8*n + 8. Give -8*f(u) - p(u). 4*u**3 Suppose 2*u - 4*q = -0*u - 14, 3*u + 4*q + 11 = 0. Let c(s) = -2*s**3 + s**2 - 5*s + 5. Let k(v) = -2*v**3 + v**2 - 6*v + 6. Determine u*k(m) + 6*c(m). -2*m**3 + m**2 Let h = -3 + 4. Let k(u) = -3*u**3 + 5*u**2 - 6*u. Let y(t) = t**3 - t**2 + t. Determine h*k(a) + 4*y(a). a**3 + a**2 - 2*a Let z be 1 + -1 - (-54)/3. Let v be z/(-5) + (-4)/10. Let g = -2 + 3. Let c(p) = 2*p + 3. Let q(l) = 1. Determine g*c(n) + v*q(n). 2*n - 1 Let j(k) = 2*k**3 + 2*k**2 + 4*k. Let i(h) = -3*h**3 - 2*h**2 - 5*h. Let t = 0 + 3. Suppose p + t*g + 11 - 1 = 0, 30 = 5*p - g. Calculate p*j(v) + 4*i(v). -2*v**3 + 2*v**2 Let f(q) = q + 0*q + 6 - 2*q. Suppose -44 = 4*u - 40. Let s(j) = 1. Give u*f(z) + 4*s(z). z - 2 Let h(y) = 60*y + 21. Let w(g) = -12*g - 4. Give -2*h(q) - 11*w(q). 12*q + 2 Let g(f) = 11*f**2 - 8*f. Let u(t) = -23*t**2 + 17*t. What is -13*g(y) - 6*u(y)? -5*y**2 + 2*y Let a(d) = -8*d**3 + 7. Let k(t) = 3*t**3 - 2. Calculate 4*a(v) + 14*k(v). 10*v**3 Let o(z) = -10*z**3 - 5*z**2 - 5. Let p(w) = -38*w**2 + 76*w**2 + 15*w**3 - 31*w**2 + 7. Give -7*o(r) - 5*p(r). -5*r**3 Let s = 22 - 31. Let z(m) = -5*m**2 - 1. Let d(x) = -11*x**2 - 3. Give s*z(u) + 4*d(u). u**2 - 3 Let y(l) = -3*l - l - l + 6*l. Let h(w) = -8*w. What is -2*h(z) - 14*y(z)? 2*z Suppose 2*a - 5*a = 3. Let b(i) = i**2. Let p be 6/4*(-16)/(-6). Suppose 6 + 10 = p*t. Let j(h) = 2*h**2 - 2*h + 1. Calculate a*j(u) + t*b(u). 2*u**2 + 2*u - 1 Suppose -x + 3 + 0 = 0. Let n(u) be the first derivative of 0*u - x*u - 1 + 4*u. Let r(m) = 2*m - 1. What is n(p) + r(p)? 2*p Let r(m) = -2*m - 8. Let l be r(-5). Let v(t) = -2 - 2*t**l - 2*t**2 + 1 + 3*t**2. Let d(k) = -2*k**3 - 6*k**2 - k - 7. Give d(w) - 6*v(w). -2*w**3 - w - 1 Let x(u) = 7*u**2 + 2*u - 2. Let h(v) = v**2 - 1. Determine -4*h(d) + x(d). 3*d**2 + 2*d + 2 Let c(z) = -z**2 + 7*z - 2. Let v(b) = -b**2 + 8*b - 2. Give -7*c(d) + 6*v(d). d**2 - d + 2 Let i(d) = 3*d**3 - 3*d**2 - 7*d + 42. Let o(w) = -2*w**3 + 2*w**2 + 5*w - 28. Give -5*i(a) - 7*o(a). -a**3 + a**2 - 14 Let j(r) = 1. Let a(o) = 14*o - 4. What is -a(i) - 3*j(i)? -14*i + 1 Let l(n) = 1. Let m(x) = -x**2 + x + 1. Let j = 14 + -9. Suppose 0 = 4*f - j - 7. Calculate f*l(k) - 2*m(k). 2*k**2 - 2*k + 1 Let j(i) = 2*i**
{ "pile_set_name": "DM Mathematics" }
- 174*j + 37 What is the d'th term of 23, -67, -541, -1663, -3697, -6907, -11557? -44*d**3 + 72*d**2 + 2*d - 7 What is the w'th term of -5319, -5323, -5327, -5331, -5335, -5339? -4*w - 5315 What is the r'th term of -260, -1056, -2382, -4238, -6624, -9540, -12986? -265*r**2 - r + 6 What is the w'th term of -68, -63, -24, 49, 156, 297, 472? 17*w**2 - 46*w - 39 What is the z'th term of 690, 713, 702, 639, 506, 285, -42? -3*z**3 + z**2 + 41*z + 651 What is the y'th term of 210, 56, -200, -558? -51*y**2 - y + 262 What is the h'th term of 280, 312, 348, 388, 432, 480? 2*h**2 + 26*h + 252 What is the l'th term of -2515, -10495, -23795, -42415? -2660*l**2 + 145 What is the k'th term of 57039, 228139, 513305, 912537, 1425835, 2053199, 2794629? 57033*k**2 + k + 5 What is the i'th term of -52, -6, 54, 128, 216, 318, 434? 7*i**2 + 25*i - 84 What is the l'th term of 202, 418, 772, 1264? 69*l**2 + 9*l + 124 What is the o'th term of -55, -240, -531, -928, -1431? -53*o**2 - 26*o + 24 What is the y'th term of -22862, -22876, -22912, -22982, -23098, -23272? -2*y**3 + y**2 - 3*y - 22858 What is the h'th term of 1738, 3483, 5228, 6973? 1745*h - 7 What is the b'th term of -443, -472, -543, -674, -883, -1188, -1607? -3*b**3 - 3*b**2 + b - 438 What is the z'th term of 69, 128, 129, 48, -139, -456? -4*z**3 - 5*z**2 + 102*z - 24 What is the d'th term of -648, -828, -1238, -1992, -3204, -4988, -7458? -19*d**3 - d**2 - 44*d - 584 What is the l'th term of -192, -798, -1816, -3252, -5112? -l**3 - 200*l**2 + l + 8 What is the g'th term of 2701, 2616, 2529, 2440, 2349, 2256, 2161? -g**2 - 82*g + 2784 What is the x'th term of -35351, -35358, -35367, -35378? -x**2 - 4*x - 35346 What is the u'th term of -7191, -14382, -21571, -28758? u**2 - 7194*u + 2 What is the x'th term of 531, 502, 433, 306, 103, -194? -3*x**3 - 2*x**2 - 2*x + 538 What is the b'th term of -1098, -2113, -3128, -4143, -5158, -6173? -1015*b - 83 What is the w'th term of 22447, 22404, 22361, 22318, 22275, 22232? -43*w + 22490 What is the l'th term of -26548, -53106, -79674, -106252, -132840, -159438? -5*l**2 - 26543*l What is the w'th term of -190, -962, -2900, -6580, -12578, -21470, -33832, -50240? -96*w**3 - 7*w**2 - 79*w - 8 What is the j'th term of 339, 334, 327, 318? -j**2 - 2*j + 342 What is the a'th term of -12463954, -12463955, -12463956, -12463957, -12463958? -a - 12463953 What is the c'th term of 355, 1352, 2993, 5278, 8207, 11780? 322*c**2 + 31*c + 2 What is the s'th term of -4, 13, 40, 77? 5*s**2 + 2*s - 11 What is the d'th term of -4519, -18108, -40757, -72466, -113235, -163064, -221953? -4530*d**2 + d + 10 What is the m'th term of 64975, 259901, 584775, 1039597, 1624367, 2339085? 64974*m**2 + 4*m - 3 What is the d'th term of -2793, -11219, -25257, -44907, -70169? -2806*d**2 - 8*d + 21 What is the m'th term of 8029, 8021, 8009, 7993, 7973, 7949, 7921? -2*m**2 - 2*m + 8033 What is the y'th term of 1080, 1139, 1238, 1377, 1556, 1775? 20*y**2 - y + 1061 What is the n'th term of 366, 735, 1106, 1479, 1854, 2231, 2610? n**2 + 366*n - 1 What is the a'th term of 353, 769, 1249, 1799, 2425, 3133? a**3 + 26*a**2 + 331*a - 5 What is the a'th term of -55926, -55932, -55938, -55944, -55950? -6*a - 55920 What is the u'th term of 34132, 34138, 34148, 34162, 34180, 34202? 2*u**2 + 34130 What is the l'th term of 14361, 57436, 129225, 229728? 14357*l**2 + 4*l What is the t'th term of -2823, -5626, -8421, -11214, -14011, -16818, -19641, -22486? -t**3 + 10*t**2 - 2826*t - 6 What is the s'th term of 51828, 51832, 51836, 51840, 51844? 4*s + 51824 What is the l'th term of 2356, 3841, 5350, 6895, 8488, 10141, 11866? 2*l**3 + 1471*l + 883 What is the m'th term of -165, -1296, -4339, -10248, -19977, -34480, -54711? -159*m**3 - 2*m**2 - 12*m + 8 What is the k'th term of 106, 304, 604, 1006, 1510, 2116, 2824? 51*k**2 + 45*k + 10 What is the x'th term of -428, -383, -304, -173, 28, 317, 712? 3*x**3 - x**2 + 27*x - 457 What is the l'th term of -4079, -3813, -3547, -3281, -3015? 266*l - 4345 What is the l'th term of 1409, 1385, 1347, 1289, 1205? -l**3 - l**2 - 14*l + 1425 What is the z'th term of 3594, 7661, 11730, 15801? z**2 + 4064*z - 471 What is the n'th term of -261, -316, -415, -576, -817, -1156, -1611? -3*n**3 - 4*n**2 - 22*n - 232 What is the d'th term of -6325, -12626, -18941, -25276, -31637, -38030, -44461? -d**3 - d**2 - 6291*d - 32 What is the i'th term of 96648, 193292, 289936, 386580, 483224? 96644*i + 4 What is the a'th term of 93048, 93064, 93090, 93126, 93172? 5*a**2 + a + 93042 What is the i'th term of -43148, -43172, -43198, -43226? -i**2 - 21*i - 43126 What is the g'th term of 16012, 16001, 15978, 15937, 15872, 15777, 15646? -g**3 - 4*g + 16017 What is the h'th term of 73, -172, -589, -1184, -1963? -h**3 - 80*h**2 + 2*h + 152 What is the x'th term of -192, -377, -568, -765, -968, -1177? -3*x**2 - 176*x - 13 What is the p'th term of 1058, 8715, 29500, 69977, 136710, 236263? 1094*p**3 - p - 35 What is the f'th term of 1996007, 3992011, 5988015, 7984019, 9980023? 1996004*f + 3 What is the i'th term of -18068, -36138, -54208, -72278? -18070*i + 2 What is the t'th term of 1306964, 1306965, 1306966, 1306967? t + 1306963 What is the s'th term of -5912, -6115, -6318, -6521, -6724, -6927? -203*s - 5709 What is the p'th term of -5530, -11056, -16582? -5526*p - 4 What is the p'th term of -254835, -254837, -254841, -254847, -254855? -p**2 + p - 254835 What is the j'th term of -82966, -83027, -83088, -83149, -83210, -83271? -61*j - 82905 What is the p'th term of 55882, 55886, 55894, 55906, 55922? 2*p**2 - 2*p + 55882 What is the b'th term of -139981, -279960, -419941, -559924, -699909, -839896, -979885? -b**2 - 139976*b - 4 What is the o'th term of 290, 143, -88, -397, -778, -1225? o**3 - 48*o**2 - 10*o + 347 What is the p'th term of -9226, -9246, -9280, -9328, -9390, -9466? -7*p**2 + p - 9220 What is the v'th term of -503, -620, -939, -1562, -2591, -4128, -6275? -17*v**3 + v**2 - v - 486 What is the c'th term of -64836, -129676, -194518, -259362, -324208? -c**2 - 64837*c + 2 What is the s'th term of -2614, -2590, -2550, -2494? 8*s**2 - 2622 What is the n'th term of 5068902, 5068904, 5068906, 5068908? 2*n + 5068900 What is the m'th term of -60073, -120085, -180097, -240109? -60012*m - 61 What is the v'th term of -39462, -78945, -118428, -157911, -197394, -236877? -39483*v + 21 What is the k'th term of 137363, 274719, 412075, 549431? 137356*k + 7 What is the z'th term of -204, 18, 240? 222*z - 426 What is the r'th term of 1128, 2799, 5584, 9483? 557*r**2 + 571 What is the d'th term of 1345, 5408, 12189, 21688, 33905, 48840? 1359*d**2 - 14*d What is the z'th term of -2910, -11792, -26596, -47322, -73970? -2961*z**2 + z + 50 What is the v'th term of -70, -79, -94, -133, -214, -355? -3*v**3 + 15*v**2 - 33*v - 49 What is the n'th term of -1876, -7471, -16790, -29839, -46624? -n**3 - 1856*n**2 - 20*n + 1 What is the f'th term of 471480, 471481, 471482, 471483, 471484? f + 471479 What is the d'th term of 52, 80, 66, 4, -112, -288, -530? -d**3 - 15*d**2 + 80*d - 12 What is the g'th term of 734, 736, 738, 740, 742? 2*g + 732 What is the i'th term of 5953, 11903, 17851, 23797, 29741, 35683, 41623? -i**2 + 5953*i + 1 What is the x'th term of -2808, -11139, -25016, -44433, -69384? x**3 - 2779*x**2 - x - 29 What is the m'th term of -186, -214, -244, -276, -310? -m**2 - 25*m - 160 What is the f'th term of 13, 144, 373, 700? 49*f**2 - 16*f - 20 What is the b'th term of -1312, -2640, -3982, -5338, -6708, -8092? -7*b**2 - 1307*b + 2 What is the m'th term of -882, -1761, -2638, -3513, -4386, -5257, -6126? m**2 - 882*m - 1 What is the x'th term of -15781, -31586, -47453, -63412, -79493? -5*x**3 - x**2 - 15767*x - 8 What is the n'th term of 615547, 1231097, 1846647, 2462197, 3077747, 3693297? 615550*n - 3 What is the x'th term of -376, -845, -1412, -2077, -2840, -3701? -49*x**2 - 322*x - 5 What is the z'th term of -12844784, -12844785, -12844786, -12844787, -12844788? -z - 12844783 What is the b'th term of 51, 92, 87, 24, -109, -324, -633, -1048? -2*b**3 - 11*b**2 + 88*b - 24 What is the g'th term of 275574, 275576, 275578, 275580? 2*g + 275572 What is the g'th term of 2102, 4337, 6574, 8813, 11054? g**2 + 2232*g - 131 What is the d'
{ "pile_set_name": "DM Mathematics" }
-3*l**2 - 1 + 4*l**2 + 0). 43*l**4 - 43*l**2 Expand (3*z**3 + 4*z**3 - 5*z**3)*(-18*z - 35226 + 86*z - 20*z - 21*z - 30*z). -6*z**4 - 70452*z**3 Expand (-13 - 269393*l**2 + 4*l + l**5 + 269394*l**2 - 16)*(3 + 3 - 4). 2*l**5 + 2*l**2 + 8*l - 58 Expand (-2*a**4 + 3*a**4 + a**4)*(2 + a - 2 - 2 + 2 - a + (-1 + 1 + a)*(-4 + 2 + 4) + 2*a + 3 - 3 - 4*a + a + 5*a - 4*a - a + 3*a - 4407*a + 204*a - 929*a). -10256*a**5 Expand (-14*y - 20 + 20)*(24*y - 38*y + 131*y)*(3 - 6 + 0). 4914*y**2 Expand -2*n**2 - 7*n**2 + 2*n**2 + 2*n**2 - 2*n**2 - 2*n**2 + (3 - 2 + 1)*(1 - 1 + 2*n**2) + 0 + 0 - n**2 + 9*n**2 + 8*n**2 - 2*n**2. 9*n**2 Expand (1 + 2 - 4)*(0 + j + 0)*(-2*j**2 + 5*j**2 + 5*j**2)*(20*j - 972 + 972)*(-j + 0*j - j). 320*j**5 Expand (19*m**2 - 20*m**2 - 42*m**2)*(-18 - 20*m + 3*m + 15*m). 86*m**3 + 774*m**2 Expand (58*v + 35*v - 33*v)*(1 + 5 - 2*v - 9). -120*v**2 - 180*v Expand (3*c**2 + 0*c**2 + 0*c**2)*(-2*c**2 + 5*c**2 - c**2) - 126*c**3 - 3*c**2 + 119*c**3 + 7*c**4 - 2*c**4. 11*c**4 - 7*c**3 - 3*c**2 Expand (z**2 + 0*z**2 + 7*z**2)*(-23*z + 18*z + 5*z - 223*z**2). -1784*z**4 Expand (-2 + 4 + 0)*(f**2 - f**2 + 3*f**2) + 536*f**2 - 1471 - 105*f**2 + 1471. 437*f**2 Expand ((-186*i + 35 - 35)*(-3 - 1 + 2) + i - 2*i - 3*i)*(-1 - 1 + 3). 368*i Expand (23 - 23 + 3*r**3)*(2 + 2 - 1)*(-1445 + 288*r + 1445). 2592*r**4 Expand (-1 - 1 + 1)*(-5*d + d + d + 3*d + 3 - 3 + (-4*d - 2*d + 4*d)*(-42 - 166 - 120)). -656*d Expand (2266*r - 2125*r + 32 + 36 + 5)*(-2*r + 2*r + 2*r)*(2 + 0 + 1). 846*r**2 + 438*r Expand 2*n**2 + 2 - 5*n**2 + 4*n**3 - 10*n**3 + (-2 + 2 + 5*n**2)*(0*n - 2*n + n). -11*n**3 - 3*n**2 + 2 Expand (-3*x**3 - 5*x**3 + 12*x**3)*(-238 + 109 + 122 - 26*x**2). -104*x**5 - 28*x**3 Expand (8*o**3 + 3*o**3 - 2*o**3)*(-3*o**2 - 1 + 1) - 4*o**5 - 2*o**5 - 6*o**5 + (4*o**3 - 5*o**3 - 3*o**3)*(o - o**2 - o). -35*o**5 Expand -2*j**2 - j + j + (1 + 2 - 1)*(3 + 2*j**2 - 3) + 3*j**2 - 3 + 3 - 47*j**2 + 36*j**2 + 39*j**2. 33*j**2 Expand (0 + 0 - 5*l)*(11 + 11 - 30) + 8*l - 4*l - 3*l. 41*l Expand (1 - 5 + 2)*(-5 - 1 - 6)*(-40*f - 25*f - 283*f). -8352*f Expand (3*c**2 - 5*c**2 + c**2)*(2257*c**3 - 9770*c**3 - 7278*c**3 - 3922*c + 3922*c). 14791*c**5 Expand (17 + 27 - 60)*(3 - 3164*s + 3164*s - 7*s**2). 112*s**2 - 48 Expand -2554*c**2 - 2 + 1318*c**2 - 8*c**3 + 1291*c**2 + (4*c**2 - 4*c**2 - c**2)*(2 - 2 + 3*c). -11*c**3 + 55*c**2 - 2 Expand (7*o - 4*o + 3*o)*((-7 + 3 + 2)*(-3 + 7 - 3) + 1 - 7 + 3) - 1284*o - 230 + 230 + 3526*o. 2212*o Expand (-3*g**3 - 2*g**3 + 3*g**3)*(257 + 319 - 82)*(-8*g**2 - 3 + 3). 7904*g**5 Expand (-196*q**5 + 1474 - 1474)*((-3 + 2 + 0)*(-1 - 1 - 2) - 2 + 0 + 4). -1176*q**5 Expand ((h + 2*h - 2*h)*(-4 + 1 + 1) + 2*h - 4*h + 3*h + 5 + 2*h - 5)*(-19*h**3 - 12*h**2 - 89680*h + 89680*h). -19*h**4 - 12*h**3 Expand j**4 + 6*j**3 - 6*j**3 + (-39*j**3 - 23*j**3 + 18*j**3)*(j - 5*j - 3*j) + (3*j**2 - j**2 + 0*j**2)*(0*j**2 - 5*j**2 + 4*j**2). 307*j**4 Expand (1503 + 6094 + 3018 + 4587)*(-3*t**3 + 0*t**3 + t**3)*(-3 + 0 + 0). 91212*t**3 Expand -10*a**2 - 7*a**5 + 10*a**2 + (2 - 3*a**3 + 0*a**3 + 2*a**3)*(13*a**2 - 220 + 220) + (4*a**4 - 5*a**4 - a**4)*(-6*a - 3*a + 3*a). -8*a**5 + 26*a**2 Expand (-72 - 44 + 42)*(1 + 3 + 2)*(2*x - x + 2*x) + 2*x - x + 0*x. -1331*x Expand (-h - 2*h + 4*h)*(-189*h + 258*h - 471*h) + 4*h**2 - 4*h**2 + 2*h**2. -400*h**2 Expand (-1 - 2 + 4)*(2 - 3 + 3)*(-1098 + 1756*d**3 + 1098). 3512*d**3 Expand (5 - 3 + 0)*(1106*b - 223 - 545*b - 560*b). 2*b - 446 Expand (-8 + 22 - 8)*(-3*g - 3*g + 4*g + (3 + 0 - 4)*(3*g - 4*g + 0*g) + 8*g - 134 + 134) + 2*g + 2*g + g. 47*g Expand (2*n + 0*n - n - 2*n + 1 - 1 + 2*n - 2*n - n - 1 + 1 + n + (2*n - n - 3*n)*(3 + 3 - 5) + 3 - 3 - n)*(461 + 785 + 159)*(-2 + 5 - 4). 5620*n Expand (-2*g**2 + 6*g**2 - 3*g**2)*(2 - 2 - 2*g) - g + g + 2*g**3 + (5*g**3 - 4*g**3 + 0*g**3)*(10 - 28 + 9). -9*g**3 Expand 791*y**2 - 791*y**2 - 786*y**3 + 2*y**3 + 4 - 4 + (0*y - 2*y + y)*(-y**2 - 4*y**2 + 4*y**2) - y**3 + y**3 + 2*y**3 + y**3 + y**3 - y**3. -780*y**3 Expand (2*q + 2*q + 11*q)*(-158*q - 54*q - 161*q). -5595*q**2 Expand -474035*d**2 - 2*d - 4334*d**5 + 474035*d**2 + (4*d**2 - 5*d**2 + 3*d**2)*(-4*d**3 + 2*d**3 + d**3). -4336*d**5 - 2*d Expand (0*z**2 + 3*z**2 - 2*z**2)*(-553 + 514*z + 7781 - 516*z). -2*z**3 + 7228*z**2 Expand -8*v**5 + 61*v - 61*v + (-v**3 - 2*v**3 + 6*v**3)*(2*v - 2*v - 2*v**2) - 6 + 6 + 17*v**5. 3*v**5 Expand (0*x**3 - 4*x**5 + 0*x**3)*(-1 + 6 - 3) - 8*x**5 + 7*x**5 + 18*x**5 - 20*x + 9*x**2 - 2*x**5 - 9*x**2. 7*x**5 - 20*x Expand (-18*b + 53 + 9*b + 37*b)*(3 - 5 - 7). -252*b - 477 Expand (n + 4*n - 3*n)*(-1 + 2 + 0)*(-4455*n + 1048*n - 1816*n + 39*n). -10368*n**2 Expand (-368 - 371 + 78)*(2 - 2 + 2*o) + (-3*o - o + o)*(0 - 1 - 1 + (4 + 4 - 7)*(-4 + 1 + 4)). -1319*o Expand (1 - 14 + 3)*(6*d - 20*d + d)*(3*d + 9 - 9). 390*d**2 Expand (4*n - 3*n + 0*n)*(-1931*n**2 - 48 + 3866*n**2 - 1932*n**2). 3*n**3 - 48*n Expand 2*j**3 - j**3 - 3*j**3 + (2*j**2 + j**2 - 4*j**2)*(0 + 2*j + 0) + 17*j**3 + 35*j**3 - 3*j**3 + (5 - 5 + j)*(3*j**2 + 1 - 1). 48*j**3 Expand (v**4 - 3*v**4 + v**4 + (14*v + 8*v + 6*v)*(2*v**3 - 2*v**3 - 3*v**3) + (-136*v + 136*v + 3*v**3)*(-v + 2*v - 3*v))*(0 + 0 + 2*v). -182*v**5 Expand (1032*b**3 - 39*b**3 - 177*b**3)*(b - 6*b + 4*b)*(0 + 2*b + 0) + (-3 - 1 + 6)*(-b**3 + b**3 + 2*b**5). -1628*b**5 Expand (-435*h**5 - 1202*h**5 - 716*h + 716*h)*(-4 - 1 + 3). 3274*h**5 Expand 1860 - 262*y**3 - 1860 + (-6*y - 2 + 2)*(y**2 - y**2 - y**2). -256*y**3 Expand (-5*h**2 - 12 + 12 + (-h**2 - 2*h**2 + 5*h**2)*(5 + 1 - 2))*(3*h - 2*h + h)*(14 - h - 19 + 66). -6*h**4 + 366*h**3 Expand 3*p**5 - 3*p**5 - 3*p**5 + (0*p + p + 13*p)*(24*p**4 + 211 - 211). 333*p**5 Expand 819 - 25*b - 415 - 406 - 5*b**2 - b**2 - 3*b + 3*b + (0 + 2*b + 0)*(0*b + 4*b - 3*b) + 3*b**2 - 2*b**2 + b**2. -2*b**2 - 25*b - 2 Expand (-11*i - 1399 + 3*i + 1397)*(3 + 3 - i + 3). 8*i**2 - 70*i - 18 Expand (-4 + 0 + 2)*(-25*a**3 + 19*a**3 + 4*a**3 + 80)*(-25 + 130 - 15). 360*a**3 - 14400 Expand (l**4 + 18 + 0 + 0*l**2 + 4*l**2)*(21*l - 25*l - 37*l). -41*l**5 - 164*l**3 - 738*l Expand -113*b**2 + 170*b**2 - 576*b**2 + (3 + 2 - 6)*(-1 + 2*b**2 + 1). -521*b**2 Expand -3 + 3 - z + (-1 - 7 + 4)*(-5*z + 4*z + 0*z) - 3*z + 5*z - 3*z + (5*z - 3*z + 0*z)*(14 + 41 + 35). 182*z Expand (-37 + 24*d + 37)*(0*d**3 + 0*d**3 - 2*d**4) - 204*d**5 + 106*d**5 - 10*d**2 - 4*d + 97*d**5 + (-2*d**2 + d**2 + 2*d**2)*(0*d**3 + d**3 - 3*d**3). -51*d**5 - 10*d**2 - 4*d Expand (-109*b**4 - 68*b**4 + 497*b**4)*(-2*b - 1 + 1) - 2*b + 2*b - b**5. -641*b**5 Expand ((-1 + 1 - 2*h)*(h - 5*h + 0*h) + (-4*h + 2*h + h)*(0*h - 2*h + 4*h))*(23*h + 55*h - 128*h). -300*h**3 Expand (-5 + 0 - 7)*(g + 6*g - 9*g)*((-2*g + 5 - 5)*(-2*g + 4*g - 3*g) + (g + 5 - 5)*(2*g + 4 - 4) - 2*g**2 + 0*g**2 + g**2 + 0*g**2 + 3*g**2 - g**2). 120*g**3 Expand (-5447 - 1162*l + 5447)*(0*l**2 - 2*l**2 + 4*l**2). -2324*l**3 Expand (-q - 3*q + 3*q)*(34*q - 4*q - 4*q) - 2*q**2 + 5*q**2 - 2*q**2 + (-9*q + 3*q - 2*q)*(16 - 3*q - 5 - 5). -q**2 - 48*q Expand (j**2 + j**2 - 3*j**2)*(-4*j - 4*j + j) + (0*j - j - 2*j - 2)*(-4*j**2 - 16*j**2 + 39*j**2). -50*j**3 - 38*j**2 Expand (-2*r**2 - 2*r**2 + 6*r**2)*(2 - 5 + 1) - r**2 - 2*r**2 + 2*r**2 + 4*r**2 - 5*r**2 + 3*r**2 + (-r + 1 - 1)*(4 - 4 + r) - 3411 + 3411 + 233*r**2. 229*r**2 Expand (6 - 5*w - 6)*(2 - 1 - 2) + (-2*w + 0*w + 0*w)*(1 + 0 - 2) + (-431 - 672*w + 431)*(0 + 1 - 3). 1351*w Expand ((49 + 15 + 40)*(0 + 0 + 2*z)*(-2 + 1 + 2) - z + 2*z + 0*z)*(-2*z - 18*z + 4*z)*(-2*z**2 + 0*z**2 + 0*z**2). 6688*z**4 Expand (-3 + 3 - 2*j)*(2 - 5*j - 2) - 312*j + 566*j + 1 - 326*j + 8*j**2. 18*j**2 - 72*j + 1 Expand (3*z**3 - 4*z**2 + 4*z**2)*(-21 + 5 - 3)*(-2*z - 2*z + 5*z) + 0*z**2 - 2*z**2 - 2*z**4 + z**2. -59*z**4 - z**2 Expand (-4*w + 4*w - 2*w**2)*(15*w - 1 - 8*w - 5*w + (2 - 3 - 1)*(-5 - 2*w + 5) + 4*w + 0*w + w). -22*w**3 + 2*w**2 Expand -27 + 27 - 2*z**2 + (0*z + 0*z + z)*(2*z - z + 0*z) + z**2 + z**2 + 2*z**2 + (4*z + z + 15*z)*(2*z + 0*z - z) - z**2 - 4*z**2 + 3*z**2. 21*z**2 Expand (-21*o + 9*o + 59*o)*(2 + o - 2)*(0*o + 6*o - 5*o)*(4*o - 3*o - 4*o)*(-o - o + o). 141*o**5 Expand (-51*d**2 + 90*d**2 + 524*d**2)*(d**3 + 0*d**3 - 3 + 1). 563*d**5 - 1126*d**2 Expand (0*l**2 + 4*l**2 - 3*l**2)*(-62 + 64 + 109)*(0*l**3 + 0*l**3 + l**3). 111*l**5 Expan
{ "pile_set_name": "DM Mathematics" }
order. f, 4, 0, -3 Let a be (3 - 0) + 11/(-22). Sort a, 0.5, 2/13 in increasing order. 2/13, 0.5, a Let t be (5/90)/((-5)/20). Let l = 3.3 - 0.3. Sort l, -0.2, t in descending order. l, -0.2, t Let w = 118.9 + -112. Let a = -0.9 + w. Let d = a - 7. Sort d, 4, 2/13 in decreasing order. 4, 2/13, d Let z be (-2)/((-2)/(-4) - -2). Let b = 5 - 3. Sort b, z, -0.5 in ascending order. z, -0.5, b Let m = 29 - 33. Let k(n) = 5*n. Let f be k(-1). Let q = 29/84 + 1/12. Put m, q, f in increasing order. f, m, q Let f = 27 + -26. Put -0.4, f, 1/4, 0.3 in ascending order. -0.4, 1/4, 0.3, f Let f be 2*(1 - 4)/6. Let l(t) = -t**2. Let u be l(-2). Sort 1, f, u. u, f, 1 Suppose 3*r + 5 - 14 = 0. Suppose 0 = 5*h - 5*t + 5, r*h = 5*t - 11 + 2. Suppose 4*w = -2*c + 16 + 4, 5 = -5*w + 5*c. Put w, 5, h in descending order. 5, w, h Let w(x) = x**3 - 11*x**2 - 13*x + 8. Let s be w(12). Sort s, -0.3, -6/7 in decreasing order. -0.3, -6/7, s Let t(u) = u**2 + 5*u + 6. Let m be t(-4). Let b be (-12)/(-3) + m + -5. Let o be 3 - 2 - b/1. Sort 4, 3, o in descending order. 4, 3, o Let q = 0 + 2. Suppose -1 = -4*w - 2*b + 47, 0 = -b + q. Let s = -16 + w. Sort 5, 2, s in increasing order. s, 2, 5 Let y be (-408)/30 - (-2)/(-5). Let g = y - -17. Sort -4, g, 5. -4, g, 5 Let t = 20 - 14. Let j be (-12)/(-70) - t/(-15). Sort j, -1/7, 1/2 in increasing order. -1/7, 1/2, j Suppose 3*n + 0*n + 3 = s, 5*n = -s + 3. Sort 2, 0, 1, s. 0, 1, 2, s Suppose -13 = 5*p - 3*v, 0 = -2*p + 3*v + 2 - 0. Sort 4, p, -3 in increasing order. p, -3, 4 Suppose 7*b = 10*b + 21. Let h be 2/(-9) + 0/b. Put 0, h, 3 in decreasing order. 3, 0, h Suppose j - 3*q = -0 + 14, -2*j - 4*q - 12 = 0. Let b be ((-1)/(-3))/(1/(-9)). Sort b, j, 0 in increasing order. b, 0, j Suppose 19 - 22 = 3*b. Sort 3, 1, b in ascending order. b, 1, 3 Let x be (-5)/(10/(-4)) + -4. Sort 5, 4, x. x, 4, 5 Suppose 250 + 30 = 5*q. Let t be (-1)/(-3) - q/(-12). Put -4, t, -1 in increasing order. -4, -1, t Let n be -4 + 4 + (-4 - -2). Let y = 13 - 8. Put y, 3, n in decreasing order. y, 3, n Suppose 17 = 3*o + 2. Let d(p) = -p + 1. Let t be d(5). Put -3, o, t in descending order. o, -3, t Let p be (-3)/2 + (-35)/(-10). Suppose 2 - 1 = g - 2*t, 3*g = -t + 17. Sort g, p, -1 in decreasing order. g, p, -1 Let f be (-6)/(1 + (-10)/4). Sort 3, f, 0 in increasing order. 0, 3, f Let h = -0.15 + 0.19. Let s = -30.04 + 29. Let t = h + s. Sort t, 5, -2/7 in descending order. 5, -2/7, t Let k = -25 + 21. Put 0.3, -2/3, k in decreasing order. 0.3, -2/3, k Let p = 4307759534/5351334975 + -4/13344975. Let d = p - 2/401. Sort -2/11, d, 0.4 in decreasing order. d, 0.4, -2/11 Let t(l) = 4*l**2 + l + 2. Let v be 13/(-5) + (-4)/10. Let k be t(v). Let u be (-19)/k - (-6)/15. Sort -2, u, -2/9. -2, -2/9, u Let x be 2 - (3 - 3) - 1. Let l be ((-3)/6)/(x/(-8)). Suppose -5*y = -l*n - 21, y + 20 = -5*n + 6*y. Put 3, n, -5 in decreasing order. 3, n, -5 Let i be 23/(-7) + (-8)/(-28). Sort 4, i, -1. i, -1, 4 Suppose z - 2*w + 8 = 0, -z - 18 = 2*z - 4*w. Let n be 2*(-5)/(30/(-9)). Let b(m) = -m**2 - 11*m + 28. Let c be b(-13). Put n, c, z in decreasing order. n, c, z Let g(u) = -u**2 + 6*u + 1. Let s be g(5). Let a(h) = 3*h**2 - 4 - h**3 - s*h**2 - h**2 - 3*h. Let c be a(-3). Sort c, 1, -3 in decreasing order. 1, -3, c Let p = 4 - 1. Suppose p*w + 3 = -0*w. Let r be w - (0 + -2 + 1). Sort r, -3, -1 in descending order. r, -1, -3 Let z(n) = -n**3 - 9*n**2 - 8*n - 3. Let r be z(-8). Put 2, r, 3 in decreasing order. 3, 2, r Let y = -5 + 12. Let r(j) = -j**2 + 3*j + 2*j - y*j. Let g be r(-2). Sort g, 5, -5 in increasing order. -5, g, 5 Let c(a) = 5*a - 4*a**2 - 9 + 9 + 10 + 3*a**2. Let h be c(7). Put 3, h, -3 in ascending order. h, -3, 3 Let f = -61 - -121/2. Let m = 8 - 8.4. Sort m, 0, f. f, m, 0 Let c(w) = w**3 + w**2 - w - 2. Let j be c(-2). Suppose -2*b = -0*b + 4. Sort b, -5, j in descending order. b, j, -5 Let j = -11 + 20. Let a be (0 + (-5)/(-15))*-1. Put -2/19, a, j in decreasing order. j, -2/19, a Let v = -16 + 31/2. Suppose b - g + 3*g - 2 = 0, -b = -5*g - 9. Sort b, v, 1. v, 1, b Let s = -4 + 3.97. Let v = -1.97 + s. Sort 3, v, -4 in increasing order. -4, v, 3 Let g(m) = 3*m + 6. Let j be g(-4). Let x be 7 - j/(3*-1). Suppose -w = -x*w. Sort 4, w, -2 in descending order. 4, w, -2 Let t = -3 - 0. Let o = -39/2 + 19. Suppose -4*b + 1 = -3. Sort o, b, t. t, o, b Let q(a) = -a**3 + 6*a**2 + 6*a + 7. Let x be q(7). Let o = 0.2 - 0. Let t = 7/12 + -25/12. Put t, x, o in increasing order. t, x, o Let x = 6 + -8. Suppose -10 = 4*a + 3*m, -a + 5*a = -m - 14. Let k be 4/(a/3) - 2. Put k, 4, x in ascending order. k, x, 4 Let n be 120/16*4/(-6). Let x = 0.3 - -0.2. Sort -4, n, x in increasing order. n, -4, x Let s = 0.65 + 0.05. Let n = 0.3 + s. Sort n, -2/3, -0.5. -2/3, -0.5, n Suppose -i + 0 = -5. Suppose -3*x + 1 - 4 = 0. Put i, x, 1 in increasing order. x, 1, i Let z = -80 - -84. Let l be 2/(-9) - (-86)/(-18). Sort z, l, -1. l, -1, z Suppose -5*z + 2 = -3*x, 5*x + z + 4*z = 10. Let b = -3 + 7. Let t be 0 + b + 12/(-3). Put t, -6, x in ascending order. -6, t, x Let i(u) be the second derivative of u**4/12 - 5*u**3/6 - u**2/2 + 2*u. Let o be i(5). Sort 0, o, 3 in ascending order. o, 0, 3 Let s(u) = u**3 - 4*u**2 - 5*u + 3. Let d be s(5). Put -4, -1, d in decreasing order. d, -1, -4 Let y = 0.17 - -0.03. Put y, 0.1, -2/9 in decreasing order. y, 0.1, -2/9 Let o(u) = 4*u - 15. Let y be o(2). Let a(g) = g**3 + g**2 - g + 2. Let c be a(0). Sort c, y, 5. y, c, 5 Let w = 0.5 - 3.5. Let u be (-5)/20*(-4)/(-7). Sort w, u, -2 in descending order. u, -2, w Suppose 131*a - 132*a - 21 = 0. Put a, -2, -4 in increasing order. a, -4, -2 Let y = 3 + -3.4. Let b = -0.56 + -0.04. Let u = y + b. Sort u, 0, 0.2 in descending order. 0.2, 0, u Suppose 3*c + 28 = 4*v, -c + v - 24 = 4*c. Sort 0, -3, c in decreasing order. 0, -3, c Suppose -7*x + 40 = -9*x. Put 4, -2, x in increasing order. x, -2, 4 Let t(r) = -10*r**3 + 9*r**2 - 2*r + 2. Let u(q) = -5*q**3 + 5*q**2 - q + 1. Let j(v) = 4*t(v) - 7*u(v). Let h be j(1). Sort 0.3, -2/7, h in ascending order. h, -2/7, 0.3 Let w be (10/(-4))/(2/(-4)). Suppose w*i = -8 - 2. Put i, 9, 0 in decreasing order. 9, 0, i Suppose 3*l + 3*u - 1 = 2, -l = 3*u + 5. Sort l, -8, 1 in decreasing order. l, 1, -8 Let p be (-10)/(-4) + (-6)/4. Let s(b) = 3*b + 1. Let y be s(p). Suppose -2*n = -4*n. Sort n, y, -2 in ascending order. -2, n, y Suppose 2 - 12 = 5*v. Suppose -o - o - 6 = 0. Let j = o - v. Put 1, j, -4 in increasing order. -4, j, 1 Let h = 62 - 123/2. Let v = -2.2 + 2. Sort v, h, -1/8 in decreasing order. h, -1/8, v Let g = 4 - 0. Let x = 0.25 - -4.75. Let c = -32/3 + 12. Put x, c, g in decreasing order. x, g, c Let b = 19 + -12. Let t = -7.5 + b. Let a = t - -0.1. Put a, 0, -0.5 in ascending order. -0.5, a, 0 Let u = -0.3 - -8.3. Let g = -10 + u. Sort -3/7, 0, g in descending order. 0, -3/7, g Let w be -2 + (-28)/(-20) - -1. Let b = -0.07 + 5.07. Let s be ((-1)/(-2))/((-3)/18). Sort w, b, s. s, w, b Let y = 2.22 - 2. Let d = -10.22 + y. Sort 0.4, -2/11, d in descending order. 0.4, -2/11, d Let k = -16.2 + 18. Let v = k + -2. Let f = 0.472 + -0.072. Sort 0.2, f, v in descending order. f, 0.2, v Let o(c) = c + 13. Let r be o(-11). Put -1, r, 3 in decreasing order. 3, r, -1 Let w(s) = s**2 + 20. Suppose -l = l. Let o be w(l). Let m be (1/3)/(o/(-12)). Put 3, -1/8, m in decreasing order. 3, -1/8, m Suppose 3*x + 4*s - 6*s + 13 = 0, 4*s = 5*x + 23. Put x, 3, 0 in increasing order. x, 0, 3 Let o = -1.1 + -1.9. Sort -0.3, o, -1. o, -1, -0.3 Suppose 0 = -0*p - 3*p + 36. Suppose -3*x - p + 3 = 0. Let o be 6/4*2/x. Sort 0.1, -1/5, o in ascending order. o, -1/5, 0.1 Let f be ((-4)/(-10))/((-6)/(-10)). Let o(u) = u**3 + 4*u**2 - 5. Let p be o(-4). Let w be 0 + 4/p + 1. Sort f, w, 4. w, f, 4 Let g = -6 - -13/2. Let n = -4 + 4. Suppose n = i - 3*i. Put i, 2, g in ascending order. i, g, 2 Suppose 0 = -2*i + 4*i - 8. Let o be -2 + 4/((-2)/(-2)). Suppose -4 = o*f - 0*f. Sort 2, i, f in decreasing order. i, 2, f Let z(w) = -w**2 - 2*w - 2. Let g be z(-3). Suppose -4*n + 68 = 4*m, 0*n = 3*m - 4*n - 44. Put 1, m, g in ascending order. g, 1, m Let m = 2.1 + -2. Let a = -0.99 + 1. Let u = -4.01 + a. Sort 0.4, u, m in descending order. 0.4, m, u Let n = 18 + -17.9. Put -1/8, n, 1,
{ "pile_set_name": "DM Mathematics" }
rest 1000? 102000 What is 23618723.23 rounded to the nearest 1000? 23619000 Round -7457.8783 to the nearest ten. -7460 Round 0.0003261981064 to 7 dps. 0.0003262 What is 1602050.17 rounded to the nearest one hundred? 1602100 What is -0.000000210649291 rounded to 7 dps? -0.0000002 What is -0.000736651807 rounded to 7 dps? -0.0007367 Round 4.54043436 to one dp. 4.5 What is 0.000502133502 rounded to 7 dps? 0.0005021 What is -42629235.3 rounded to the nearest one hundred thousand? -42600000 Round -61475370 to the nearest 1000000. -61000000 What is -3.148108772 rounded to 1 dp? -3.1 Round 0.00000067233668 to 7 decimal places. 0.0000007 What is -0.00018971348 rounded to 7 decimal places? -0.0001897 What is -3282681.49 rounded to the nearest 1000000? -3000000 What is -893410.99 rounded to the nearest one hundred? -893400 What is 92823927 rounded to the nearest 1000000? 93000000 What is 2203373.78 rounded to the nearest one million? 2000000 What is 2140.73478 rounded to one dp? 2140.7 What is 0.036098003786 rounded to six decimal places? 0.036098 Round 0.00062091369 to 4 dps. 0.0006 What is -0.0002155498924 rounded to five dps? -0.00022 What is 1176096.782 rounded to the nearest one thousand? 1176000 What is 833692.7056 rounded to the nearest ten? 833690 Round -0.0497303117 to 5 decimal places. -0.04973 What is -0.000079290626 rounded to 5 dps? -0.00008 Round 71745.648 to the nearest one thousand. 72000 Round 0.0000157984917 to six decimal places. 0.000016 Round 54442885 to the nearest one million. 54000000 Round -9056310 to the nearest 1000. -9056000 Round 5.439013277 to one decimal place. 5.4 Round -0.0707395824 to 3 dps. -0.071 Round 126456007.4 to the nearest 10000. 126460000 What is -1.316462878 rounded to 3 dps? -1.316 What is 0.0000000253648 rounded to seven dps? 0 Round -5.543541 to two decimal places. -5.54 Round -0.0000006684990638 to seven dps. -0.0000007 Round 0.05176473 to four decimal places. 0.0518 What is 48221.147 rounded to the nearest one hundred? 48200 What is -342767.745 rounded to the nearest 100000? -300000 Round 720243966 to the nearest 10000. 720240000 Round 172324.1843 to the nearest 10. 172320 Round 358548.8 to the nearest one hundred thousand. 400000 Round -60.357218 to 2 decimal places. -60.36 What is 337.5938849 rounded to zero dps? 338 What is -11330238240 rounded to the nearest one million? -11330000000 Round -11599582.5 to the nearest one thousand. -11600000 What is -39124.1405 rounded to the nearest 100? -39100 What is -0.0002828277961 rounded to 7 dps? -0.0002828 Round -21605999620 to the nearest one million. -21606000000 What is 0.0000430087368 rounded to 7 dps? 0.000043 Round 540.5214597 to two decimal places. 540.52 What is 225.833743 rounded to the nearest ten? 230 What is 0.0003047676118 rounded to 6 decimal places? 0.000305 What is 52.147912 rounded to two dps? 52.15 Round -20604.3939 to the nearest 10000. -20000 Round -61135.7727 to the nearest one thousand. -61000 Round -1663.714154 to the nearest 100. -1700 Round 446898.09 to the nearest 10000. 450000 What is 0.000095850336 rounded to 5 dps? 0.0001 What is 10.6403121 rounded to 1 dp? 10.6 What is 0.00000176758419 rounded to 6 decimal places? 0.000002 Round 0.0028985613 to five dps. 0.0029 Round 0.000780417041 to seven dps. 0.0007804 What is -0.00000029636808 rounded to seven decimal places? -0.0000003 What is 0.54886457 rounded to 3 decimal places? 0.549 What is 244.37367 rounded to the nearest 10? 240 Round -9498.7049 to the nearest 10000. -10000 What is 11547890 rounded to the nearest 100000? 11500000 What is -0.84076251 rounded to 2 dps? -0.84 Round -0.01815437552 to five decimal places. -0.01815 What is 99195.239 rounded to the nearest ten? 99200 Round -0.003193250631 to six decimal places. -0.003193 What is -47208.717 rounded to the nearest one thousand? -47000 What is -663693.041 rounded to the nearest one hundred? -663700 What is -573763.44 rounded to the nearest one hundred? -573800 What is 99471882 rounded to the nearest 1000000? 99000000 What is -16270.0383 rounded to the nearest one hundred? -16300 What is 1021.85398 rounded to the nearest 10? 1020 Round 0.000071447541 to six dps. 0.000071 What is -1836.8255 rounded to the nearest one hundred? -1800 Round -1.60543277 to 3 dps. -1.605 What is 949.5846076 rounded to 0 decimal places? 950 Round 0.0003246075 to five dps. 0.00032 Round 0.00269648435 to six decimal places. 0.002696 What is -35.5373049 rounded to 2 dps? -35.54 Round 83875.263 to the nearest 100. 83900 What is 49875970.1 rounded to the nearest one hundred thousand? 49900000 Round -0.000985565788 to seven dps. -0.0009856 What is 0.001037913586 rounded to 6 decimal places? 0.001038 What is 598.4928344 rounded to the nearest one hundred? 600 What is -37177802.7 rounded to the nearest ten thousand? -37180000 What is -1142644883 rounded to the nearest one hundred thousand? -1142600000 Round -0.121288382 to four dps. -0.1213 What is 0.0035969535 rounded to 4 decimal places? 0.0036 Round -0.00275645354 to 5 dps. -0.00276 What is 0.00003871139852 rounded to seven dps? 0.0000387 What is 0.000164116401 rounded to six decimal places? 0.000164 What is -10832.88624 rounded to the nearest 100? -10800 What is -26.9411675 rounded to the nearest 10? -30 What is 130491387390 rounded to the nearest 1000000? 130491000000 Round -2494.09119 to the nearest ten. -2490 What is -0.0000324591631 rounded to seven decimal places? -0.0000325 Round -11944.4481 to the nearest one thousand. -12000 Round -283602736.1 to the nearest one million. -284000000 Round 0.000010141795574 to 6 dps. 0.00001 What is 1082243.7396 rounded to the nearest one hundred thousand? 1100000 Round -0.0004004842374 to 5 dps. -0.0004 Round 11.3613628 to 2 decimal places. 11.36 Round -8648.5645 to the nearest 100. -8600 Round 0.0000105211891 to 6 dps. 0.000011 What is 562.9528 rounded to one dp? 563 What is 40.41724 rounded to 2 decimal places? 40.42 What is 0.0000087398822 rounded to 6 decimal places? 0.000009 What is -0.004341224119 rounded to 6 dps? -0.004341 What is -106371698.4 rounded to the nearest 10000? -106370000 What is 0.020436901 rounded to four decimal places? 0.0204 What is 3.09471622 rounded to 4 dps? 3.0947 Round -27.2785491 to the nearest integer. -27 What is -0.000009563397 rounded to 7 dps? -0.0000096 What is 0.01114943451 rounded to 7 decimal places? 0.0111494 Round 1800.028759 to the nearest ten. 1800 What is 69701313.5 rounded to the nearest 100000? 69700000 What is -23.57012815 rounded to 2 decimal places? -23.57 Round 1566.974828 to one dp. 1567 What is -113119437 rounded to the nearest one million? -113000000 What is -84133968.8 rounded to the nearest ten thousand? -84130000 Round -98819353.3 to the nearest ten thousand. -98820000 Round 41404.184 to the nearest one thousand. 41000 Round -6279837.06 to the nearest 1000. -6280000 What is 3207536.727 rounded to the nearest 100? 3207500 Round 0.0000045539821 to seven decimal places. 0.0000046 Round 0.00299075209 to five dps. 0.00299 What is -0.00074893985 rounded to 6 decimal places? -0.000749 Round 0.31961848 to 3 dps. 0.32 Round 5421485000 to the nearest one million. 5421000000 What is 0.00215574065 rounded to six decimal places? 0.002156 What is -0.00010859018778 rounded to 7 decimal places? -0.0001086 What is 0.2388616984 rounded to four decimal places? 0.2389 What is 114126.894 rounded to the nearest ten thousand? 110000 What is -4551.6909 rounded to the nearest one hundred? -4600 Round 1.288560304 to 1 dp. 1.3 Round 64358638 to the nearest one million. 64000000 Round -58.025876 to the nearest integer. -58 Round 0.03956161 to three dps. 0.04 What is -4388.107638 rounded to the nearest 1000? -4000 Round -0.006028667075 to 5 dps. -0.00603 Round 0.0000085645992 to 7 dps. 0.0000086 What is -0.00003326522 rounded to 5 dps? -0.00003 Round 2.73216887 to 3 dps. 2.732 What is -3340202668 rounded to the nearest one hundred thousand? -3340200000 What is -0.07453718303 rounded to 3 dps? -0.075 What is 4.9572889 rounded to zero dps? 5 What is -0.054399905 rounded to 5 dps? -0.0544 What is 153546018 rounded to the nearest 100000? 153500000 Round 0.268105921 to 1 decimal place. 0.3 Round 61.91028034 to the nearest ten. 60 Round 164
{ "pile_set_name": "DM Mathematics" }
reasing order. -18, -2, 1, 2 Sort 5, -4, -1, 2. -4, -1, 2, 5 Sort 4, -2, 15, 3 in descending order. 15, 4, 3, -2 Sort -2, 5, 422. -2, 5, 422 Put -4, 4, -2, -0.1 in ascending order. -4, -2, -0.1, 4 Put 3, 4/29, 0.5, -0.08 in decreasing order. 3, 0.5, 4/29, -0.08 Sort -0.2, 141, 2, -5 in increasing order. -5, -0.2, 2, 141 Sort -2, -0.2, 0.2, -6. -6, -2, -0.2, 0.2 Sort 7, 1, 2, -3 in descending order. 7, 2, 1, -3 Sort -4, 4, 32, -5 in descending order. 32, 4, -4, -5 Sort 21/5, 0.1, 7, -1/3, -4. -4, -1/3, 0.1, 21/5, 7 Put 0.05, 0, 1/5, 0.1 in descending order. 1/5, 0.1, 0.05, 0 Sort -4, -1367, -3, 5 in ascending order. -1367, -4, -3, 5 Sort -4/7, 0.4, 3. -4/7, 0.4, 3 Put -4, -6, 0.11 in increasing order. -6, -4, 0.11 Sort -4, 0.2, 1/17, -1/4. -4, -1/4, 1/17, 0.2 Put -6, 1, -10 in increasing order. -10, -6, 1 Put -2, -3, 4, 0 in ascending order. -3, -2, 0, 4 Sort -9, -2, 0.1 in decreasing order. 0.1, -2, -9 Put -8, -34, 0.03 in decreasing order. 0.03, -8, -34 Put -5, 2, 3, -4, 5 in descending order. 5, 3, 2, -4, -5 Sort -80, -4, -1, 8 in descending order. 8, -1, -4, -80 Sort -12, 0, 5, 8, 4 in increasing order. -12, 0, 4, 5, 8 Sort -1, -64, 2 in decreasing order. 2, -1, -64 Put 4, 1, -1, -12 in decreasing order. 4, 1, -1, -12 Sort 11, -1, -31 in ascending order. -31, -1, 11 Put -929, 5, 4 in decreasing order. 5, 4, -929 Put -4, 6/31, -2 in ascending order. -4, -2, 6/31 Sort -34, -35, -1, 4. -35, -34, -1, 4 Sort 16, -4, 68 in descending order. 68, 16, -4 Sort -7.8, -0.3, -36 in descending order. -0.3, -7.8, -36 Sort 29, -10, -2. -10, -2, 29 Sort -16/5, 1/2, 4/7, 3 in decreasing order. 3, 4/7, 1/2, -16/5 Put -2/5, -4, -40 in decreasing order. -2/5, -4, -40 Sort 0, 57, 5 in descending order. 57, 5, 0 Sort -0.4, 0.5, -0.8, 2. -0.8, -0.4, 0.5, 2 Sort 0, -17, 5. -17, 0, 5 Sort -1, -1/4, -20. -20, -1, -1/4 Put -0.01, -5, -1, 5/11, -0.5 in decreasing order. 5/11, -0.01, -0.5, -1, -5 Sort 0.3, 1/25, 2, -3/2, -1. -3/2, -1, 1/25, 0.3, 2 Put -25, 2/23, -0.2, 0.3 in ascending order. -25, -0.2, 2/23, 0.3 Put 0.2, -5, -0.4, -0.2 in descending order. 0.2, -0.2, -0.4, -5 Sort -2, -5, 5, 2, -7. -7, -5, -2, 2, 5 Sort -0.12, -0.5, -1/45 in ascending order. -0.5, -0.12, -1/45 Sort -12, 1/4, -1, -0.2. -12, -1, -0.2, 1/4 Put 2, 3, -11 in ascending order. -11, 2, 3 Sort -5, -7, -1/7, -1 in increasing order. -7, -5, -1, -1/7 Sort 1, 0.3, 33 in decreasing order. 33, 1, 0.3 Sort -1, -2, 0, 3 in decreasing order. 3, 0, -1, -2 Sort -4, 2, 0, 4 in increasing order. -4, 0, 2, 4 Sort -0.3, 0.23, 3 in decreasing order. 3, 0.23, -0.3 Sort 16, -2, 0.08, -1/4 in decreasing order. 16, 0.08, -1/4, -2 Sort 38/7, -4, -1, -0.07. -4, -1, -0.07, 38/7 Put -2, 13, -11 in decreasing order. 13, -2, -11 Sort 0.2, -18/11, -4 in ascending order. -4, -18/11, 0.2 Sort 2, 4, 298. 2, 4, 298 Sort -0.07, -0.5, -4/7, -4. -4, -4/7, -0.5, -0.07 Sort 1, 0.3, 0.2, -7 in descending order. 1, 0.3, 0.2, -7 Put 0, 1084, 3, -1 in increasing order. -1, 0, 3, 1084 Sort 2, 4, -0.1, 35, 0.2 in ascending order. -0.1, 0.2, 2, 4, 35 Sort -68, 3, 5, -2/21 in decreasing order. 5, 3, -2/21, -68 Put 5, 3, -116 in ascending order. -116, 3, 5 Put -4, -50, -1, 62 in decreasing order. 62, -1, -4, -50 Put -25, -6/7, -1, -26 in descending order. -6/7, -1, -25, -26 Put -3, 243, 3 in decreasing order. 243, 3, -3 Sort -4, -11, -1, 1. -11, -4, -1, 1 Sort 0, -4, 4, -1. -4, -1, 0, 4 Put 2/9, -151, -0.1 in increasing order. -151, -0.1, 2/9 Sort -0.2, 0.4, 2, 2/43, -324 in descending order. 2, 0.4, 2/43, -0.2, -324 Sort -16, 1, 4, 14 in increasing order. -16, 1, 4, 14 Put 1, -12, 3, -4 in increasing order. -12, -4, 1, 3 Put -5, -2, -0.4, -31 in descending order. -0.4, -2, -5, -31 Put -1.1, -0.5, -2, 12 in descending order. 12, -0.5, -1.1, -2 Sort 0, 5, 12, 1/3. 0, 1/3, 5, 12 Put -1, -0.7, -0.2, 3/7, 2 in decreasing order. 2, 3/7, -0.2, -0.7, -1 Put 1, 33, 5, -1/4 in decreasing order. 33, 5, 1, -1/4 Sort -4, 0, 3, -64, -2. -64, -4, -2, 0, 3 Sort -2, 5, 4, 16 in descending order. 16, 5, 4, -2 Sort 2, -52, 4, 0. -52, 0, 2, 4 Put 0.1, 2/5, -2/29, 2/3 in descending order. 2/3, 2/5, 0.1, -2/29 Sort 14, 0, -3, 3, -5. -5, -3, 0, 3, 14 Put 2/9, -0.5, -1, 3 in descending order. 3, 2/9, -0.5, -1 Put -83, 1/4, -1 in increasing order. -83, -1, 1/4 Sort 28, 16, -1 in descending order. 28, 16, -1 Sort 1, -8.2, -4, -2, -0.1 in descending order. 1, -0.1, -2, -4, -8.2 Put -5, 15, 103 in descending order. 103, 15, -5 Sort 2, 11, -1, 5 in increasing order. -1, 2, 5, 11 Sort 4, 8, 1, -138. -138, 1, 4, 8 Sort -2, -4/7, 2/15, -5. -5, -2, -4/7, 2/15 Sort 0.02, 10, 7, -0.1, 0.1. -0.1, 0.02, 0.1, 7, 10 Put -5, 2, -19 in decreasing order. 2, -5, -19 Put -2, 4, -4, -21, -1 in ascending order. -21, -4, -2, -1, 4 Sort -0.5, -3, -0.1, 0, 2/11 in increasing order. -3, -0.5, -0.1, 0, 2/11 Sort 0.1, -2, -0.3, 143. -2, -0.3, 0.1, 143 Sort -4/3, -1/2, -1 in increasing order. -4/3, -1, -1/2 Put 4/5, 3, -31, 5/2, -1 in descending order. 3, 5/2, 4/5, -1, -31 Sort -2804, 5, 1 in descending order. 5, 1, -2804 Sort 0.2, -0.01, 3, 15 in increasing order. -0.01, 0.2, 3, 15 Sort -2/3, 1/51, 0, -2. -2, -2/3, 0, 1/51 Put -1, 1, -8 in descending order. 1, -1, -8 Sort 0.3, -306, -0.6, 2 in increasing order. -306, -0.6, 0.3, 2 Sort -16, 6, -4, 9 in ascending order. -16, -4, 6, 9 Sort 263, -3, 5 in increasing order. -3, 5, 263 Sort -7, 2, 5, 18. -7, 2, 5, 18 Sort 22, -11, 2, 1. -11, 1, 2, 22 Put 10, -4, -5, 6 in descending order. 10, 6, -4, -5 Sort 1, 4, -7, 3 in decreasing order. 4, 3, 1, -7 Put 223, 0, 4 in ascending order. 0, 4, 223 Put -3/34, 0.2, 0.1, -1 in ascending order. -1, -3/34, 0.1, 0.2 Sort -49, -0.4, 0.4 in descending order. 0.4, -0.4, -49 Sort 4, 0.1, 103/84. 0.1, 103/84, 4 Sort -5, 4, -2, -29. -29, -5, -2, 4 Sort 4, 34, -101, -3 in descending order. 34, 4, -3, -101 Put 1/5, 111, -7 in increasing order. -7, 1/5, 111 Sort 5, 78/31, 0.02 in descending order. 5, 78/31, 0.02 Sort 3/5, -3/19, -1, -4, -0.5 in ascending order. -4, -1, -0.5, -3/19, 3/5 Sort 3, 0, 1/22 in ascending order. 0, 1/22, 3 Sort 0.2, -7, 4, -0.2 in decreasing order. 4, 0.2, -0.2, -7 Put -1, 5, -36, 0 in decreasing order. 5, 0, -1, -36 Sort 3, -10, 1/2, -3/2 in ascending order. -10, -3/2, 1/2, 3 Sort -3.56, 0.2, -4. -4, -3.56, 0.2 Sort 5, -5, -2. -5, -2, 5 Put -357, -2/7, -2 in descending order. -2/7, -2, -357 Put 2/7, 47, -2/23, -3 in descending order. 47, 2/7, -2/23, -3 Sort -21, -5, -2 in increasing order. -21, -5, -2 Sort 1/2, -17, -3/4, 0.24. -17, -3/4, 0.24, 1/2 Sort 8, -12, -2 in decreasing order. 8, -2, -12 Sort 17, 3, -3, 4 in ascending order. -3, 3, 4, 17 Sort -1, -3, 1, 2. -3, -1, 1, 2 Put 5, -2, -8, -117, 1 in increasing order. -117, -8, -2, 1, 5 Put -0.1, -3, -23, -1 in descending order. -0.1, -1, -3, -23 Sort 1, 2, -5, -4, 3 in decreasing order. 3, 2, 1, -4, -5 Put 4, -5/93, -5 in decreasing order. 4, -5/93, -5 Sort -1/3, -0.3, 5, -56/9 in descending order. 5, -0.3, -1/3, -56/9 Sort -3, 3, 3/5, 38/13, 1/6 in descending order. 3, 38/13, 3/5, 1/6, -3 Put 20, -17, -5, -2 in descending order. 20, -2, -5, -17 Put 3, 5238, -2 in increasing order. -2, 3, 5238 Put 2, -4, 4, 5 in increasing order. -4, 2, 4, 5 Sort -3, -5, -50, -0.3 in ascending order. -50, -5, -3, -0.3 Put 5, 7, -5 in increasing order. -5, 5, 7 Sort -6, -21, 3, -2. -21, -6, -2, 3 Sort 4, 2, -5, 202, 3 in ascending order. -5, 2, 3, 4, 202 Sort 0.2, -3, 7, -0.385 in increasing order. -3, -0.385, 0.2, 7 Sort -11, -5, -13. -13, -11, -5 Put -3, -4, -77 in ascending order. -77, -4, -3 Put 0.2, 3, 3/2, -6.8 in decreasing order. 3, 3/2, 0.2, -6.8 Sort 5, -7, 0 in decreasing order. 5, 0, -7 Put -2/17, 1/3, -1 in decreasing order. 1/3, -2/17, -1 Put 1, -4, 2/15, -3 in decreasing order. 1, 2/15, -3, -4 Sort 5, 72, -9, -1 in descending order. 72, 5, -1, -9 Put -31, 8, 4 in decreasing order. 8, 4, -31 Put -1/5, -0.06, -3 in ascending order. -3, -1/5, -0.06 Put -2, -7, 3, -1, 2 in ascending order. -7, -2, -1, 2, 3 Sort 2, -3, 2/3, 34, -8/3 in increasing order. -3, -8/3, 2/3, 2, 34 Sort -29, -1, 1, -28 in descending order. 1, -1, -28, -29 Sort 0.1, -1, -5, -0.9 in increasing order. -5, -1, -0.9, 0.1 Put 4.1, -2/9, 139 in decreasing order. 139, 4.1, -2/9 Sort 2, 542, 1, -1 in descending order. 542, 2, 1, -1 Sort -0.015, -7, 0.4 in increasing orde
{ "pile_set_name": "DM Mathematics" }
ut replacement from {b: 2, t: 4}. Give prob of picking 2 b. 1/15 Two letters picked without replacement from {m: 7}. What is prob of picking 2 m? 1 Two letters picked without replacement from sqhqssqhshp. Give prob of picking 2 s. 6/55 What is prob of picking 1 d, 2 c, and 1 e when four letters picked without replacement from {e: 4, n: 1, d: 1, c: 2, m: 4, r: 2}? 4/1001 Two letters picked without replacement from {z: 4, c: 2, j: 5}. What is prob of picking 2 z? 6/55 Four letters picked without replacement from ipipippiipiipp. What is prob of picking 2 i and 2 p? 63/143 Calculate prob of picking 2 r when two letters picked without replacement from rrccrrrccrcrcrrccccc. 18/95 Calculate prob of picking 1 k, 1 h, and 1 a when three letters picked without replacement from qkoha. 1/10 Four letters picked without replacement from uuxuh. Give prob of picking 2 u, 1 h, and 1 x. 3/5 What is prob of picking 2 t when two letters picked without replacement from {t: 3, n: 9}? 1/22 What is prob of picking 1 p and 3 t when four letters picked without replacement from {t: 3, p: 4}? 4/35 Two letters picked without replacement from {k: 1, s: 1, z: 1}. What is prob of picking 1 s and 1 z? 1/3 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {a: 2, h: 2, t: 1, n: 4, e: 3}. 1/33 What is prob of picking 1 i and 3 o when four letters picked without replacement from ooffiiiofiffiffir? 3/1190 Calculate prob of picking 2 n and 1 o when three letters picked without replacement from nnnhmov. 3/35 What is prob of picking 2 h when two letters picked without replacement from {j: 1, h: 3}? 1/2 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {w: 7, l: 4, i: 5, c: 3}. 20/171 What is prob of picking 1 x, 1 w, and 1 l when three letters picked without replacement from sgxsxgsxglw? 1/55 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, r: 5}. 1/21 Three letters picked without replacement from vvvyvvnnvvvvynvyvn. What is prob of picking 3 n? 1/204 Three letters picked without replacement from {y: 6, h: 2, e: 4}. Give prob of picking 2 h and 1 e. 1/55 Three letters picked without replacement from zccc. What is prob of picking 1 z and 2 c? 3/4 Three letters picked without replacement from apazzaphazzpph. Give prob of picking 3 a. 1/91 Three letters picked without replacement from {j: 4, v: 1, f: 2, y: 1}. What is prob of picking 2 y and 1 f? 0 Calculate prob of picking 4 n when four letters picked without replacement from {n: 6, d: 2}. 3/14 Calculate prob of picking 2 c when two letters picked without replacement from ttyccytccctctc. 3/13 Three letters picked without replacement from dcfsdsdfsscsswsssss. What is prob of picking 1 w and 2 c? 1/969 Three letters picked without replacement from {l: 1, o: 2, v: 1, y: 2, p: 1}. What is prob of picking 1 y, 1 o, and 1 p? 4/35 Three letters picked without replacement from {o: 7, w: 12}. What is prob of picking 2 w and 1 o? 154/323 What is prob of picking 2 n and 1 x when three letters picked without replacement from nnxnnnxn? 15/28 Four letters picked without replacement from {i: 1, v: 5, k: 7}. What is prob of picking 3 v and 1 k? 14/143 Two letters picked without replacement from {m: 11, n: 5}. Give prob of picking 1 n and 1 m. 11/24 What is prob of picking 1 m, 1 g, 1 q, and 1 u when four letters picked without replacement from {m: 1, q: 1, d: 10, g: 2, u: 6}? 4/1615 What is prob of picking 3 s when three letters picked without replacement from neseffssseeefsssfs? 7/102 Calculate prob of picking 2 c, 1 m, and 1 j when four letters picked without replacement from {m: 2, c: 3, l: 1, o: 3, j: 1}. 1/35 Four letters picked without replacement from gksgssswswss. What is prob of picking 1 g, 1 s, and 2 w? 14/495 What is prob of picking 1 g, 1 w, and 1 f when three letters picked without replacement from fwwwwgudewede? 5/286 Two letters picked without replacement from pcpewcwwwppepwjjcwp. Give prob of picking 2 e. 1/171 Calculate prob of picking 2 y when two letters picked without replacement from yzzyyzyyllzylyyyzyl. 5/19 Two letters picked without replacement from {x: 1, u: 1, c: 7}. What is prob of picking 1 x and 1 c? 7/36 Three letters picked without replacement from {f: 4, c: 2, i: 2}. What is prob of picking 3 f? 1/14 What is prob of picking 2 b when two letters picked without replacement from {d: 2, b: 2, p: 2}? 1/15 Two letters picked without replacement from {w: 3, p: 1, z: 5, u: 1, l: 2, j: 1}. Give prob of picking 1 z and 1 u. 5/78 Two letters picked without replacement from {b: 5, y: 3, i: 2}. Give prob of picking 2 b. 2/9 What is prob of picking 2 l when two letters picked without replacement from lelellel? 5/14 Calculate prob of picking 1 v and 2 m when three letters picked without replacement from mvgvmvvvvvvvvv. 11/364 Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {x: 2, s: 1, y: 2}. 1/5 Four letters picked without replacement from sfffssssfss. What is prob of picking 4 f? 1/330 What is prob of picking 2 w when two letters picked without replacement from {w: 5, x: 3, l: 1}? 5/18 Two letters picked without replacement from {s: 2, r: 1, d: 2, i: 1, n: 7, t: 1}. What is prob of picking 1 d and 1 n? 2/13 Three letters picked without replacement from nnyyynnyqaaakyy. Give prob of picking 1 a and 2 y. 9/91 Two letters picked without replacement from ymyymymymnyymyymy. Give prob of picking 1 n and 1 m. 3/68 What is prob of picking 4 c when four letters picked without replacement from ccccssccc? 5/18 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jyyjkjjkpyyykjyjj. 21/136 Three letters picked without replacement from {d: 1, l: 1, s: 2, f: 2, h: 2}. Give prob of picking 2 f and 1 h. 1/28 What is prob of picking 1 a, 1 o, and 1 r when three letters picked without replacement from ininaaoaern? 1/55 What is prob of picking 1 v, 1 m, 1 k, and 1 q when four letters picked without replacement from {q: 2, k: 1, m: 1, v: 1, b: 1, u: 1}? 2/35 Calculate prob of picking 3 p when three letters picked without replacement from qpqpfqqp. 1/56 Three letters picked without replacement from appeppaepe. Give prob of picking 2 e and 1 p. 1/8 Three letters picked without replacement from mmiimbbjjbibbjmj. Give prob of picking 3 i. 1/560 What is prob of picking 1 z, 1 d, 1 p, and 1 t when four letters picked without replacement from {t: 1, z: 7, d: 1, p: 8}? 2/85 Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yvyv. 2/3 What is prob of picking 1 t and 1 d when two letters picked without replacement from {v: 3, p: 2, d: 1, j: 2, m: 3, t: 3}? 3/91 Calculate prob of picking 1 z and 3 c when four letters picked without replacement from {c: 8, z: 2, b: 4, q: 1}. 16/195 Three letters picked without replacement from {i: 7}. Give prob of picking 3 i. 1 Two letters picked without replacement from {e: 1, q: 2, f: 1, i: 1, k: 1, p: 2}. What is prob of picking 1 e and 1 i? 1/28 What is prob of picking 3 k when three letters picked without replacement from ckkkkce? 4/35 Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {r: 1, e: 1, q: 1, x: 1, b: 1}. 1/10 Two letters picked without replacement from zfzxzzzzfz. What is prob of picking 2 z? 7/15 Two letters picked without replacement from {a: 1, j: 3, b: 1}. What is prob of picking 2 j? 3/10 Two letters picked without replacement from ouuoouououuuy. Give prob of picking 1 u and 1 y. 7/78 Two letters picked without replacement from {w: 4, z: 7}. Give prob of picking 1 z and 1 w. 28/55 What is prob of picking 1 u, 1 i, and 1 l when three letters picked without replacement from {u: 1, s: 1, t: 2, i: 1, a: 1, l: 1}? 1/35 Calculate prob of picking 2 p when two letters picked without replacement from {y: 3, g: 6, x: 1, s: 3, p: 2}. 1/105 Calculate prob of picking 2 h and 2 p when four letters picked without replacement from hhhpphpphhhp. 14/33 What is prob of picking 1 k and 1 e when two letters picked without replacement from keelklkleelllkkkknkl? 16/95 Calculate prob of picking 2 a, 1 j, and 1 e when four letters picked without replacement from jajefjefffaja
{ "pile_set_name": "DM Mathematics" }
k = -1 - -2. Solve -3*x - 3*p - k = -10, 5*x + r = -p for x. -2 Let m be 171/(-1368) - -2*178/32. Solve -n - 2*h = h - m, -3*n - 4*h + 23 = 0 for n. 5 Suppose b - 7*b = -36. Let l be (-39)/(-26) - 3/2. Suppose 3*h = -3*s + 4*s - 2, 3*h + 3*s - b = l. Solve -5*t - 2*w + 5 + 1 = h, -w + 8 = 5*t for t. 2 Suppose 2*s - 96 = -6*s. Suppose 3*n + s = 0, -7*h + 5*h - 8 = 2*n. Solve 0 = 3*y, h = 4*v + 2*y - 7*y - 4 for v. 1 Suppose -2 = 2*n + 2*l, 2*l = n - 4*n - 2. Let v(o) = -o**3 - 3*o**2 + 1. Let r be v(-3). Suppose 6 = b + r. Solve -4*i - b*m = 4, 2*i - 4*m + 2 = -n for i. -1 Let s = 18 + -18. Suppose s*l + 2*d = -2*l, -l - 5*d = -8. Let a be 4/(6 + -3 + l). Solve 3*x - a*x = 5*u - 20, -14 = -3*u - x for u. 3 Let s(h) = -h**3 - 10*h**2 - 10*h - 9. Let f be s(-9). Suppose 5*q + 3*y = 127, f = q + 4*q + 5*y - 135. Solve -5*g - o = q, 5*g + o + 26 = -o for g. -4 Let g = 0 + 17. Let r = 1 + -1. Let f be 70/22 - 1/(55/10). Solve -5*i + g = f*a, -4*i + a = -r*a - 17 for i. 4 Suppose -2*f + 4*n = -33 + 11, -n + 12 = 3*f. Let k be (1 - (f + 1))*-1. Solve 0*p + k*p - 2*l - 1 = 0, -p + 2*l = 3 for p. 1 Suppose -4*a + 5*a = 4. Suppose d - 6*d + n = -23, d - a*n = -3. Solve 4 = 5*f - 2*u + u, 0 = -d*f + 5*u for f. 1 Let g(t) = 6*t**2 + 3*t - 2. Let j be g(1). Let r = 12 - j. Solve 3*b = -4*h - 14, 6 = -h + r*b - 9 for h. -5 Let y be 6 + -5 + 0 + 4. Solve p - 1 = -2*n + 1, -n - y*p = -10 for n. 0 Suppose 2 = 2*v - 0*q - 2*q, 4 = 3*v - 2*q. Suppose 0 = 4*g - v*j - 66, -4*g + 2*g + 23 = j. Solve 4*u = -r + g, -14 = -0*u - 3*u + r for u. 4 Let m(x) = -x + 7 + x**3 - 16*x**2 + 21*x**2 - 10*x**2. Let q be m(5). Solve 6*d - 3*d = 5*z - 9, 3*d - 12 = -q*z for d. 2 Let w(t) = -t**3 - 8*t**2 + 11*t + 2. Let n be w(-9). Let z be ((-4)/(-2) + n)/2. Let h be (z + 11)/(2/3). Solve -3*y = 3*s - 6, 0 = 4*s + 2*y - 2 - h for s. 2 Let v be 2/1*(-5)/5 - -70. Let m = v + -61. Solve 2*n = 4*t, -t + m = -2*n + 1 for t. -2 Let j = 169 - 163. Solve -l + b = -j, -2 = -3*l + b - 2*b for l. 2 Suppose -3*n - v + 3 = 0, -5*n + v = -0*v - 13. Let k(l) = -l - 3. Let b be k(-6). Solve -n*f + 0 - 11 = -t, 0 = -5*t - b*f + 3 for t. 3 Let d be (-15)/(-10) - ((-6)/4)/3. Solve -15 = -3*p, 12 = -h + 2*p + d for h. 0 Let s be 4/((-40)/(-6)) + 1628/370. Solve -2*w = 3*w - 4*d - 27, 5*d = -s*w for w. 3 Let i(x) = -8*x - 5. Let s(m) = 33*m + 21. Let w(b) = 9*i(b) + 2*s(b). Let r be w(-1). Solve -3*l - r*o = 24, 2*l = -0*l - 3*o - 21 for l. -3 Let u be 3/(-2) + 45/6 + -4. Solve -5*h + 3 = -j, -h = h + u*j - 6 for h. 1 Let i be 5 - (6 + -1 + -4). Solve i = 2*a + 2*a - 2*k, 23 = 5*a + 2*k for a. 3 Suppose -9*w + 3 = -8*w. Suppose -4*b + 58 = -0*b - 2*a, -w*b - 3*a = -57. Solve 0*u - 2*u + 20 = 5*f, -b = -4*u - 4*f for u. 0 Suppose 5*f + 133 = 3*x, 0 = 5*x - 2*f - 211 + 21. Let p = x - 6. Solve 2*h - p - 3 = -5*d, -d + 17 = 3*h for d. 5 Let k = 288 + -286. Suppose 0 = 3*x + 5*z + 4, 2*x + 4*z = -0*x - 4. Solve -x*v + k*d - 18 = 3*v, d + 13 = -3*v for v. -4 Let r be ((-28)/8 - -2)*-12. Suppose -3*d + 5*d = 4. Solve -2*g + 3*t = r + 4, 4*g + d*t = -12 for g. -5 Suppose -16 = 4*l, -4*w = -8*w - 5*l - 8. Solve -w*i = -3, -n + 0*i - 1 = 2*i for n. -3 Let p = -13 + 16. Let d be (-3)/6 + (-34)/(-4). Let h = 21 + -19. Solve -p*k - k = h*q - 14, d = 2*k for q. -1 Let l be -5 - 5*6/(-5). Let a(y) = -y**2 + 5*y - 2. Let d be a(4). Solve 2*g - d*v = -2, 3*g = 4*v - l - 2 for g. -1 Let a(q) = 3*q**2 + q + 2. Let i be a(-2). Let s = 15 - i. Suppose 0 = p - h - 1, s*p - 23 = -h - h. Solve -3*c + 2*v = 14, -3 = -3*c - v - p for c. -2 Suppose 2*k - 20 = -2*h, -4 + 14 = -k - 5*h. Solve -4*b = 3*q - k, 14 = 4*b + q + 1 for b. 3 Let d(c) = -2*c**3 - 3*c**2 - 1. Let q be d(-2). Solve q*s + 3*o = -21, 2*s + 0*o + 16 = -3*o for s. -5 Let s(w) = w**2 + w. Let z be -4 + (0 + 0)/2. Let t be s(z). Let a be (16/24)/(2/15). Solve 4*k - 12 = -4*q, -a*k + t = -5*q - 13 for k. 4 Let a(o) = -9*o + 135. Let s be a(15). Solve 4*t = l, -5*l + 20 = -s*l for t. 1 Suppose 0 = 4*k + 4*z - 8, 0 = -z + 2. Let b be (k - (2 + 3))*-1. Solve -m + 20 = 4*h - 8*h, 4*m = -b*h - 25 for m. 0 Suppose -3*z - 16 - 34 = -5*o, -o + 10 = -3*z. Solve m - 20 = -6*t + 2*t, m - o = -2*t for t. 5 Suppose 2*m + 3 = -h - 4, 5*h - 9 = m. Let k = h + 10. Solve -12 = -4*b, 9*b = x + 4*b + k for x. 4 Let p(h) = -h**3 + 7*h**2 - 7*h + 7. Let w be p(6). Let j be (10/(-5) + w)*3*-5. Solve m - 1 = 3*r, -3*r + j = 3*m - 0*r for m. 4 Suppose b + 3*m = -6, -4*b + 2*b - 2*m = 0. Solve 4*r + 3 = -2*j - 3, 2 = -b*r - 2*j for r. -4 Let q be (6/4)/(27/(-180)). Let i be (-15)/25 - (-111)/(-15). Let t = i - q. Solve 2*a - 2*s + 2 = 3*a, -18 = -4*a + t*s for a. 4 Let i(l) = -l + 22. Let s be i(5). Let v = s - 12. Solve w = -0*w - v*g - 1, -4*w - 4 = 4*g for w. -1 Suppose -6*o = -o - 25. Suppose -2*d + 20 = 3*l + 2*d, o*l - 36 = -4*d. Suppose l = -r + 3*r. Solve r*z + 4 + 12 = -5*b, 0 = z + 2*b + 4 for z. -4 Suppose -5*q + 3*j - 12 = -41, 32 = 4*q + 2*j. Solve -3*d + 3 = 0, -5*a = 2*d - q*d - 20 for a. 5 Let h(o) = 4*o + 26. Let j be h(-6). Solve z = -5*n - 11, -j*z + 0*z = n + 4 for n. -2 Suppose a + 3*z - 2 + 7 = 0, -2*z = a + 1. Solve 0 = -5*r + a*f - 3*f + 6, 2*f = -8 for r. -2 Suppose -21 = -4*u - 9. Suppose 5*p + u = 6*p. Let c be 4 - (-6)/(6 - p). Solve 5*m + 10 + c = 2*w, -w = -3*m - 10 for m. -4 Let y = 15 - 10. Suppose -g + 5*x - 17 = 36, -3*x - 293 = 5*g. Let k = -52 - g. Solve 4*v = -f + k*v + 1, v = -y*f - 28 for f. -5 Let o(r) = 0 + 2*r - 1 - 3. Let n be o(3). Let v = 2053 + -2048. Solve -n*q + 2*k = -18, v*q + k - 40 = 5*k for q. 4 Suppose -q + 4*u + 5 = 0, -2*q + 0*u + 3*u + 10 = 0. Solve 2*r + 3*l = -q, -l - 1 = r + 2*l for r. -4 Let i(o) = o**2 + 40*o + 207. Let h be i(-34). Let t(l) = -l**2 + 7*l - 2. Let d be t(5). Solve -h*n - d*p + 27 = -3*p, 0 = -4*n - p + 19 for n. 4 Let u = 54 - 52. Suppose 10 = 4*d + u. Solve -5*l = 2*o - 0*o - d, 0 = 4*l for o. 1 Let o be -5*2*5/5. Let d be o/(6/3)*-1. Solve -d*w + 5*x - 2 = -7, -5*x + 2 = 2*w for w. 1 Let c(z) = 2*z + 1. Let g(r) = -r - 1. Let y(q) = 2*c(q) + 3*g(q). Let a be y(5). Solve 0*l - 4*l - 2*w = 0, 3*l + a*w = 5 for l. -1 Let s(p) = p**3 + 4*p**2 - 4*p - 1. Let v be s(-4). Let t = -194 - -197. Solve b = 5*f + v, -3*f + 6*f - 9 = -t*b for f. -2 Let c = 213 - 210. Solve -g + 6*p = c*p - 13, -g = -2*p - 10 for g. 4 Suppose 45*h + 17*h = 17*h. Solve p + h*a = -4*a + 8, -5*a + 15 = 0 for p. -4 Let k = -354 - -358. Solve -4*i = 3*t + 4, k*t = -3*i + 3*t + 2 for i. 2 Suppose -3*r = 2*r - 40. Let l(j) = 26*j + 212. Let o be l(-8). Solve o*k - 2*c = -r, 4*c - 2 = -3*k + 14 for k. 0 Suppose -p = -2*p + 3*s + 9, -10 = -2*p - 2*s. Solve -c - p = 2*t - 4*c, -5*t = c + 15 for t. -3 Let j be 0/(-7) - (-6)/((-8)/(-4)). Solve -j*g = -o + 3 + 4, -o - 1 = -g for o. -5 Let s = 5 + 0. Suppose -s*g - k + 33 = 0, 5*g - 4*k + 2*k - 39 = 0. Let t(c) = c**2 + 5*c - 4. Let z be t(-6). Solve 3*h - z*r - g = 4*h, 4*r = 5*h + 21 for h. -5 Suppose s + 3*s = 48. Suppose 0 = -10*i + 13*i - s. Solve 0 = -5*j + 5*l - 13 - 7, 4*j + 8 = -i*l for j. -3 Let b(d) = d - 5. Let o be b(7). Let p(y) = 7*y - 3. Let r be p(2). Let f be 0*(-1 - 15/(-10)). Solve 4*v = 3*z + 1, o*z + 3*v - r - 11 = f for z. 5 Let s be (972/24)/((-6)/(-8)). Suppose -5*j + s = -2*j. Let y be (1/2)/(3/j). Solve -8*z + 3*z = -3*t + 6, -2*t = y*z + 15 for z. -3 Suppose 5*k - 6 = -k. Let n(z) = 3*z + 5. Let t be n(k). Solve -21 = -4*b + 5*p, -3*b + t - 1 = 5*p for b. 4 Let c be (5 - 1)*(-2)/(-8)*5. Suppose -7*x = -3*x - 3*k - 22, c*x = -4*k + 43. Solve -2*z + x*z = -3*r - 40, -2*z = 5*r + 35 for r. -5 Let l = -36 + 26. Let p(f) = -f**2 - 10*f + 3. Let v be p(l). Let h be ((-8)/6 + 3)*v. Solve 5*j + 18 + 12 = -h*s, -2*s + 8 = -2*j for j. -5 Suppose -3*t + 3*s = -3, -3*t + 15 + 8 = s. Suppose 4 = -t*g + 16. Solve -5*n - 4*q + 15 = q, -g*n - 4*q = -6 for n. 3 Suppose 6*n - 3 = 5*n. Suppose -5*c - n*q = -34, 0 = -5*q + 9 + 6. Solve 3*a - 4*z + 13 = 0, -c*z = -4*a + 7 - 23 for a. 1 Suppose -r = -5*r. Suppose 2*k + 3 = -w - 0*k, r = 4*w - 2*k + 22. Let o be 2/(-1) + (1 - w). Solve 0 = -o*d + 3*y - 20, 4*y = -d - 0*d + 14 for d. -2 Suppose -367*v = -362*v - 100. Solve 5*w - v = -5*z, -1 = z + 3*w - 11 for z. 1 Let z = -309 - -314. Solve -2*k = 4*m - 4*k - 20, m + 3*k - z = 0 for m. 5 Let
{ "pile_set_name": "DM Mathematics" }
7*r - 9. Let a be c(-3). Let x(n) = -5*n**2 + 2*n. Let y(z) = 10*z**2 - 4*z. Calculate a*y(f) - 13*x(f). 5*f**2 - 2*f Let h(d) = 3*d - 4. Let l be (-145 + 147)*1*-3. Let k(a) = 4*a - 5. Determine l*k(b) + 7*h(b). -3*b + 2 Let i(z) = z - 1. Let c(s) = 1 + 3 + 1 - 2. What is c(g) + i(g)? g + 2 Let z(n) = 7*n**2 - 7*n + 2. Let t(b) = 10*b**2 - 15*b - 124 + 5*b + 127. Suppose -7*j + 6 = 55. Calculate j*z(w) + 5*t(w). w**2 - w + 1 Let a be (5/(-2))/(1 - (-22)/(-12)). Let h(r) = 3*r. Let n(c) = -3*c + 1. Calculate a*h(l) + 4*n(l). -3*l + 4 Let s(r) = -25*r - r + 4*r - r + 7*r + 36*r**2. Let n(l) = -7*l**2 + 3*l. Calculate 16*n(o) + 3*s(o). -4*o**2 Let j(c) be the first derivative of -4*c**3 + c**2 + 0*c**2 - 10 - 5*c**2 + 7*c**3 - 5*c. Let u(t) = 4*t**2 - 4*t - 2. Calculate -2*j(a) + 5*u(a). 2*a**2 - 4*a Let i(y) = 183*y + 2. Let w(f) = -202206*f - 2211. Give -2211*i(s) - 2*w(s). -201*s Let p(r) = -5*r**2 + 4*r - 3. Let g(z) be the second derivative of -z**4/2 + 5*z**3/6 - 3*z**2/2 + 316*z. Calculate 3*g(f) - 4*p(f). 2*f**2 - f + 3 Let l(x) = -x**2 + 2*x. Let j(d) = -5*d**2 + 11*d - 1. Let c = 392 - 390. Determine c*j(a) - 11*l(a). a**2 - 2 Let o(t) = 4*t - 8. Let h(k) be the second derivative of -k**3/6 + k**2 + 4*k. Suppose 5*i + 6*a = 7*a + 49, 1 = i + 2*a. Determine i*h(c) + 2*o(c). -c + 2 Let a(r) = -5*r**2 - 6*r. Let c(v) be the second derivative of -55/6*v**3 + 0*v**2 - 25*v + 0 - 15/4*v**4. Calculate 55*a(j) - 6*c(j). -5*j**2 Let m(h) be the third derivative of -h**4/6 + h**3/6 + 54*h**2. Let x(l) = -l - 1. Give m(f) - 3*x(f). -f + 4 Let a(i) = -i**2 - i - 1. Suppose -8*n + 7*n = 39. Let d = n + 41. Let t(w) = -w**2 - 3*w - 1. What is d*t(g) - 4*a(g)? 2*g**2 - 2*g + 2 Let t(g) = 25*g**2 - 17. Let k be 1520/(-240) + 3/9. Let i(p) = -12*p**2 + 8. What is k*t(s) - 13*i(s)? 6*s**2 - 2 Let x(o) = 147*o**3 - 5*o**2 + 10. Let u(h) = 147*h**3 - 6*h**2 + 12. What is -5*u(j) + 6*x(j)? 147*j**3 Let s be -1 + ((-12)/3 - -8). Suppose 2*m + 2 + 8 = 0. Let t(h) = -4*h**3 + 9*h**2 + 7*h + 5. Let k(l) = -2*l**3 + 5*l**2 + 4*l + 3. Determine m*k(w) + s*t(w). -2*w**3 + 2*w**2 + w Let y(f) = -f**3 + f**2 + 1. Let b(a) = -178*a**3 - 2*a**2 - 2. What is -b(v) - 2*y(v)? 180*v**3 Let u(f) be the third derivative of -f**6/120 + f**5/60 - f**4/24 - f**2. Let v be (1 + -2)/(3*2/6). Let x(w) = -3*w**3 + 3*w**2 + w. Determine v*x(c) + u(c). 2*c**3 - 2*c**2 - 2*c Let o(w) = 27 + 2*w - 58 + w**2 + 28. Let a be (13/26)/((-2)/12). Let s(x) = 2*x - 2. What is a*s(c) + 2*o(c)? 2*c**2 - 2*c Let q(t) = -6*t. Suppose -4*v - 66 = -10. Let k(z) = 2*z. Suppose -2*y - 30 = -7*y. Suppose m = 1 - y. Give m*q(b) + v*k(b). 2*b Let d(c) = 6*c**2 + 4*c**3 - 3*c**3 - 7*c**2. Let m(i) = 9*i**3 - 6*i**2. Let w be (4 + 36/(-8))*-12. Give w*d(u) - m(u). -3*u**3 Let h(x) = x**3 + x**2 - x. Let c(s) = 7*s**3 + 4*s**2 - 7*s. Let f = -4 + 3. Suppose -18*p + 130 = 22. Calculate f*c(u) + p*h(u). -u**3 + 2*u**2 + u Let t(v) be the third derivative of 3*v**6/40 + v**4/6 - v**3/3 + 8*v**2. Let c(f) = 92*f**3 - 51*f**3 - 46*f**3 + 1 - 2*f. Give 11*c(x) + 6*t(x). -x**3 + 2*x - 1 Let h(n) be the third derivative of n**4/3 + 5*n**3/3 + n**2. Suppose 21*m - 23*m = 14. Let k(b) = 7*b + 9. What is m*k(z) + 6*h(z)? -z - 3 Let y(w) be the second derivative of -9*w**5/20 + 7*w**4/12 - 7*w**3/6 + 19*w**2/2 - 3*w - 1. Let f(c) = -5*c**3 + 4*c**2 - 4*c + 10. Calculate 7*f(x) - 4*y(x). x**3 - 6 Let c(o) = 264*o - 135. Let n(u) = -88*u + 49. Give -4*c(j) - 11*n(j). -88*j + 1 Let l(x) = 15*x - 7. Let z(w) = -3*w - 2*w - 1114 + 1118 - 3*w. Let p = -5 + -1. Determine p*l(u) - 11*z(u). -2*u - 2 Suppose -2*q - 79 = 4*f - 5*q, f = -q - 11. Let b(m) = 7*m**2. Let n(r) = 22*r**2. Determine f*b(k) + 5*n(k). -2*k**2 Let o(w) = -3*w**2 + 2*w - 1. Let u(n) = 529*n**2 + 2*n - 4. Give o(b) - u(b). -532*b**2 + 3 Let m(b) = -3*b**2 - 7*b - 17. Let u(o) = -7*o**2 - 17*o - 36. Determine 5*m(v) - 2*u(v). -v**2 - v - 13 Let c(l) = 22*l**2 - 11. Let x(w) = -19*w**2 - 21 - 15*w**2 + 35*w**2 + 20. Determine -c(j) + 11*x(j). -11*j**2 Let b(v) = v**3 + 2*v**2 - v. Let c(z) = 3*z**2 - z + 1. Let n be ((-231)/39 - -6) + (-25)/(-13). Determine n*c(p) - 3*b(p). -3*p**3 + p + 2 Let k = 9 - 6. Suppose -2*q = 2*a + a - 131, -k*a - 3*q = -129. Let r(d) = 5*d**3 - 6 + a*d - 45*d. Let i(p) = -14*p**3 + 17. Give 6*i(y) + 17*r(y). y**3 Let w be 5*((-9)/15 + 1). Let s(m) = -6*m**3 + 31*m - w*m**2 - 31*m + 2 + 2*m**3. Let a(c) = 17*c**3 + 9*c**2 - 9. Calculate 4*a(v) + 18*s(v). -4*v**3 Let d(o) = o**2 + 6*o - 25. Let m be d(-8). Let j(c) = -2*c**2 - 11*c - 9. Suppose -13 - 23 = -9*q. Let a(v) = -v**2 - 5*v - 4. Give m*a(r) + q*j(r). r**2 + r Let p(h) = 9*h - 1. Let r = 147 - 143. Let x(g) = -4*g + 7. Let c(k) = 3*k - 5. Let d(n) = -7*c(n) - 5*x(n). Calculate r*d(i) + p(i). 5*i - 1 Let s(z) be the third derivative of -z**4/24 + 103*z**2 + 1. Let d(k) = -2*k - 3. Determine -d(p) + 4*s(p). -2*p + 3 Let g(m) = -m**3 + m**2. Let s(c) = -3*c**3 + 2*c**2 - c. Let p be (20/(-6))/(20/(-24)). What is p*g(a) - s(a)? -a**3 + 2*a**2 + a Let y(d) = -1080 - 31*d - 63*d**2 + 545 - 273*d**3 + 535 - 32*d. Let r(l) = -17*l**3 - 4*l**2 - 4*l. Give -63*r(c) + 4*y(c). -21*c**3 Let n(t) = -2*t**2 - 5*t - 6. Let h(r) = -r**2 - r - 1. Let o(f) = f**3 - 4*f**2 - 10*f + 21. Let m be o(5). Calculate m*h(p) + n(p). 2*p**2 - p - 2 Let i(q) = -5*q**3 + 6*q**2 + 15*q + 9. Let d(m) = 3*m**3 - 4*m**2 - 14*m - 7. Determine -6*d(z) - 4*i(z). 2*z**3 + 24*z + 6 Let g(c) = -c + 4. Let w(f) be the third derivative of f**4/8 - 4*f**3/3 - 283*f**2. Give 5*g(b) + 2*w(b). b + 4 Let c(y) = -9*y + 3. Let r(u) = 4*u - 1. Let n be 5*9/(-6 - -15). Determine n*r(q) + 2*c(q). 2*q + 1 Let g(r) = 23*r**3 - 8*r + 4. Let i(s) = -69*s**3 + 23*s - 11. Calculate 11*g(h) + 4*i(h). -23*h**3 + 4*h Let t(q) = -q + 2. Let u(v) = -1. Let o(d) = 2*d**2 + 7*d - 16. Let p be o(-5). Give p*u(g) - t(g). g - 1 Let p(k) = 8*k + 7. Let h(f) = 7*f + 7. Let q(j) = -67*j + 664. Let y be q(10). What is y*h(x) + 5*p(x)? -2*x - 7 Let t(i) = 375*i - 6. Let z(n) = -377*n + 5. Calculate -5*t(k) - 6*z(k). 387*k Let q(z) = z**2 + z. Let x(a) = -2*a**2 - 4*a - 1. Let k(s) = s**3 - 18*s**2 - 3*s - 42. Let m be k(18). Let o be 9/(-6)*m/(-36). Determine o*q(l) - x(l). -2*l**2 + 1 Let d(u) = -6*u**2 + 31*u - 15. Let z(g) = 2*g**2 - 11*g + 5. Determine 6*d(h) + 17*z(h). -2*h**2 - h - 5 Let f be (2 - -3) + 19 + -17. Let o(d) = -13*d**3 - 2*d**2 + 7*d + 3. Let j(m) = -6*m**3 - m**2 + 3*m + 1. What is f*j(l) - 3*o(l)? -3*l**3 - l**2 - 2 Let z(i) = -i - 246*i**2 + 247*i**2 + 2*i + 1. Let b(w) = -w**3 - 4*w**2 - 6*w - 3. Calculate b(j) + 4*z(j). -j**3 - 2*j + 1 Let n(r) = -294*r**3 - 2*r**2 + 2*r - 2. Let i(k) = -881*k**3 - 7*k**2 + 7*k - 7. Calculate -4*i(j) + 14*n(j). -592*j**3 Let y(n) be the second derivative of 0 - 8*n - 1/2*n**2 + 1/6*n**3. Let a(r) = -7*r + 7. Determine -a(t) - 6*y(t). t - 1 Let b be (-1*6)/(-3 + 1). Let r(p) = -2 + 5 - 48*p + 43*p - 3*p**3. Let k(a) = -6*a**3 - 9*a + 5. Determine b*k(m) - 5*r(m). -3*m**3 - 2*m Let o(c) = -7*c**3 + 3*c**2 - 75*c - 8. Let j(f) = -9*f**3 + 4*f**2 - 77*f - 10. Give 3*j(b) - 4*o(b). b**3 + 69*b + 2 Let h(w) = -10*w**2 + 7*w**3 - 2*w**3 + 7*w**2 + 5*w - 6*w**2 + w**2. Let y(a) = -2*a**3 + 3*a**2 - 2*a. Let x = 0 + -6. Let r = -2 + x. Give r*y(v) - 3*h(v). v**3 + v Let q(r) = -4*r**3 - 13*r**2 - 3. Let d = 39 - 30. Suppose -3*s = -18 - d. Let h(w) = -2*w**3 - 6*w**2 - 1. What is s*h(i) - 4*q(i)? -2*i**3 - 2*i**2 + 3 Let x(f) = -1. Let u(g) = 2*g - 77. Let z be u(39). Let n(j) be the third derivative of -j**4/24 + 2*j**3/3 + j**2. Determine z*n(o) + x(o). -o + 3 Let c(o) = -13*o - 6. Let m(a) = 6*a + 3. Let q(z) = -z**3 - 8*z**2 + 21*z + 19. Let x be q(-10). Give x*m(n) + 4*c(n). 2*n + 3 Let r be 29 + (-1)/(-2)*-4. Let v be 1/(-4 + 111/r). Let k(l) = -17*l - 8. Let f(w) = -4*w - 2. What is v*f(d) - 2*k(d)? -2*d - 2 Let k be (48/32)/(1 - 6/4). Let v(g) = g - 1. Let m(l) = 7*l**2 + 9*l - 3. Let f(o) = m(o) - 5*v(o). Let h(x) = -4*x**2 - 2*x - 1. What is k*f(j) - 5*h(j)? -j**2 - 2*j - 1 Suppose 3*b - 2 - 4 = 0. Let v be 9/b + (-6)/(-4). Let j be 3/v + 15/(-10). Let i(p) = -p + 6. Let t(a) = 1. What is j*i(s) + 6*t(s)? s Let l(v) = -655*v**3 + 17*v**2 - 23*v + 14. Let z(k) = 219*k**3 - 6*k**2 + 8
{ "pile_set_name": "DM Mathematics" }
29337, 29338, 29339, 29340? m + 29335 What is the x'th term of 1591, 3206, 4821, 6436, 8051, 9666? 1615*x - 24 What is the k'th term of 1351, 1352, 1357, 1366? 2*k**2 - 5*k + 1354 What is the t'th term of 107069, 428287, 963651, 1713161, 2676817, 3854619? 107073*t**2 - t - 3 What is the g'th term of -1645, -3069, -4493, -5917? -1424*g - 221 What is the w'th term of 48, -518, -2056, -5052, -9992, -17362, -27648, -41336? -81*w**3 + w + 128 What is the m'th term of 53, 408, 1353, 3182, 6189, 10668, 16913? 49*m**3 + m**2 + 9*m - 6 What is the j'th term of 21, 66, 149, 288, 501? 3*j**3 + j**2 + 21*j - 4 What is the n'th term of 154, 279, 386, 475, 546, 599? -9*n**2 + 152*n + 11 What is the x'th term of 2917, 3163, 3411, 3661? x**2 + 243*x + 2673 What is the g'th term of 104, 107, 118, 137, 164, 199, 242? 4*g**2 - 9*g + 109 What is the o'th term of -323, -661, -1011, -1379, -1771, -2193, -2651, -3151? -o**3 - 331*o + 9 What is the h'th term of 2084, 8499, 19192, 34163, 53412, 76939, 104744? 2139*h**2 - 2*h - 53 What is the d'th term of -2713, -2897, -3205, -3637, -4193? -62*d**2 + 2*d - 2653 What is the u'th term of 15292, 30579, 45864, 61147, 76428, 91707, 106984? -u**2 + 15290*u + 3 What is the y'th term of -64680, -64681, -64682? -y - 64679 What is the f'th term of 2482, 2591, 2700, 2809? 109*f + 2373 What is the h'th term of -1109, -2173, -3225, -4259, -5269? h**3 - 1071*h - 39 What is the x'th term of -311, -395, -533, -719, -947, -1211, -1505? x**3 - 33*x**2 + 8*x - 287 What is the d'th term of 125211, 125226, 125241, 125256, 125271, 125286? 15*d + 125196 What is the n'th term of 7444064, 14888127, 22332190? 7444063*n + 1 What is the o'th term of -2436, -19500, -65812, -155994, -304668, -526456? -2437*o**3 - 2*o**2 + o + 2 What is the z'th term of -1049387, -2098774, -3148161? -1049387*z What is the c'th term of -681, -2108, -3535, -4962, -6389? -1427*c + 746 What is the m'th term of -790, -780, -780, -802, -858, -960, -1120? -2*m**3 + 7*m**2 + 3*m - 798 What is the v'th term of -6749, -6753, -6757? -4*v - 6745 What is the z'th term of 8778, 8811, 8844? 33*z + 8745 What is the j'th term of 2632146, 5264292, 7896440, 10528590, 13160742? j**2 + 2632143*j + 2 What is the u'th term of 42450, 42481, 42560, 42711, 42958, 43325? 4*u**3 + 3*u + 42443 What is the w'th term of -227449, -454897, -682345? -227448*w - 1 What is the z'th term of -21257, -42515, -63775, -85037, -106301, -127567? -z**2 - 21255*z - 1 What is the u'th term of -589, -1006, -1423, -1840, -2257? -417*u - 172 What is the m'th term of -3808, -6726, -9644? -2918*m - 890 What is the z'th term of 1004, 2006, 3008, 4010? 1002*z + 2 What is the n'th term of -143, -175, -225, -293, -379, -483? -9*n**2 - 5*n - 129 What is the k'th term of -28624, -57248, -85872, -114496, -143120, -171744? -28624*k What is the f'th term of 1747, 1780, 1813? 33*f + 1714 What is the p'th term of -364, -217, -74, 65, 200, 331, 458? -2*p**2 + 153*p - 515 What is the d'th term of 8314, 8338, 8374, 8422? 6*d**2 + 6*d + 8302 What is the p'th term of -1253, -300, 653, 1606? 953*p - 2206 What is the z'th term of -643, -1237, -1833, -2431, -3031, -3633? -z**2 - 591*z - 51 What is the i'th term of 364, 619, 950, 1393, 1984, 2759, 3754? 6*i**3 + 2*i**2 + 207*i + 149 What is the b'th term of -1847, -2171, -2505, -2855, -3227, -3627, -4061, -4535? -b**3 + b**2 - 320*b - 1527 What is the z'th term of 3875689, 3875690, 3875691, 3875692, 3875693, 3875694? z + 3875688 What is the c'th term of -3322, -13195, -29656, -52711, -82366? -c**3 - 3288*c**2 - 2*c - 31 What is the c'th term of -28918, -28933, -28946, -28957, -28966, -28973? c**2 - 18*c - 28901 What is the v'th term of 320, 568, 816, 1064, 1312? 248*v + 72 What is the w'th term of 2136, 4404, 6672? 2268*w - 132 What is the y'th term of 2245, 5195, 8145, 11095, 14045, 16995? 2950*y - 705 What is the p'th term of 24, 161, 388, 705, 1112, 1609? 45*p**2 + 2*p - 23 What is the o'th term of 8758, 17345, 25932, 34519? 8587*o + 171 What is the y'th term of 83, 452, 1073, 1952, 3095? y**3 + 120*y**2 + 2*y - 40 What is the z'th term of -952, -3832, -8642, -15382, -24052, -34652, -47182? -965*z**2 + 15*z - 2 What is the y'th term of -1061, -1096, -1145, -1214, -1309? -y**3 - y**2 - 25*y - 1034 What is the l'th term of 121752, 487027, 1095822, 1948137, 3043972, 4383327? 121760*l**2 - 5*l - 3 What is the f'th term of -414, -3321, -11198, -26529, -51798? -414*f**3 - f**2 - 6*f + 7 What is the l'th term of -50676, -101351, -152026, -202701, -253376, -304051? -50675*l - 1 What is the v'th term of 389, 985, 1787, 2795, 4009, 5429? 103*v**2 + 287*v - 1 What is the i'th term of 74, 231, 638, 1415, 2682, 4559, 7166, 10623? 20*i**3 + 5*i**2 + 2*i + 47 What is the i'th term of 313, 644, 979, 1318, 1661? 2*i**2 + 325*i - 14 What is the u'th term of 78, 321, 754, 1401, 2286? 4*u**3 + 71*u**2 + 2*u + 1 What is the u'th term of 154351, 154349, 154347, 154345? -2*u + 154353 What is the b'th term of -10366, -10343, -10292, -10201, -10058? 2*b**3 + 2*b**2 + 3*b - 10373 What is the q'th term of -436, -998, -1560? -562*q + 126 What is the f'th term of 262, 522, 782, 1042, 1302, 1562? 260*f + 2 What is the v'th term of -141, -539, -1157, -1953, -2885, -3911, -4989, -6077? 7*v**3 - 152*v**2 + 9*v - 5 What is the k'th term of 871, 1985, 3099? 1114*k - 243 What is the n'th term of 309111, 1236436, 2781977, 4945734, 7727707? 309108*n**2 + n + 2 What is the o'th term of 4039, 16260, 36627, 65140, 101799, 146604? 4073*o**2 + 2*o - 36 What is the a'th term of -308, -263, -186, -77? 16*a**2 - 3*a - 321 What is the t'th term of 39, 301, 545, 777, 1003, 1229, 1461? t**3 - 15*t**2 + 300*t - 247 What is the f'th term of -7345, -7336, -7325, -7312? f**2 + 6*f - 7352 What is the w'th term of -2431, -2449, -2471, -2497? -2*w**2 - 12*w - 2417 What is the v'th term of 3352, 5657, 7962, 10267? 2305*v + 1047 What is the h'th term of -7820, -15626, -23416, -31190? 8*h**2 - 7830*h + 2 What is the r'th term of 743592, 1487185, 2230778, 2974371? 743593*r - 1 What is the z'th term of -28, -84, -154, -244, -360, -508? -z**3 - z**2 - 46*z + 20 What is the j'th term of 17175, 17179, 17193, 17223, 17275, 17355, 17469? j**3 - j**2 + 17175 What is the g'th term of 12467, 24931, 37395, 49859, 62323, 74787? 12464*g + 3 What is the m'th term of 20, -132, -568, -1438, -2892? -25*m**3 + 8*m**2 - m + 38 What is the i'th term of 84, -18, -402, -1230, -2664, -4866, -7998, -12222? -27*i**3 + 21*i**2 + 24*i + 66 What is the i'th term of -2204, -4436, -6698, -8996, -11336, -13724, -16166? -i**3 - 9*i**2 - 2198*i + 4 What is the b'th term of 1323, 2564, 3805, 5046, 6287, 7528? 1241*b + 82 What is the j'th term of 270, 1221, 2806, 5025? 317*j**2 - 47 What is the s'th term of -327, -670, -1005, -1332, -1651, -1962? 4*s**2 - 355*s + 24 What is the j'th term of -413782, -827560, -1241336, -1655110, -2068882, -2482652? j**2 - 413781*j - 2 What is the y'th term of -12256, -49085, -110462, -196381, -306836, -441821? y**3 - 12280*y**2 + 4*y + 19 What is the g'th term of -43, -251, -717, -1567, -2927, -4923, -7681? -21*g**3 - 3*g**2 - 52*g + 33 What is the f'th term of 140, 217, 292, 371, 460, 565? f**3 - 7*f**2 + 91*f + 55 What is the f'th term of -186, -2214, -7748, -18540, -36342, -62906, -99984? -292*f**3 - f**2 + 19*f + 88 What is the h'th term of 165651, 165650, 165649, 165648, 165647, 165646? -h + 165652 What is the p'th term of 11879, 23771, 35663, 47555, 59447, 71339? 11892*p - 13 What is the w'th term of -25162, -50338, -75514, -100690, -125866, -151042? -25176*w + 14 What is the r'th term of -381, -747, -1117, -1491, -1869, -2251, -2637? -2*r**2 - 360*r - 19 What is the s'th term of -358, -365, -376, -391, -410, -433, -460? -2*s**2 - s - 355 What is the c'th term of -364, -760, -1182, -1624, -2080? c**3 - 19*c**2 - 346*c What is the i'th term of 4350, 8717, 13084? 4367*i - 17 What is the g'th term of -441, -853, -1223, -1533, -1765, -1901? 3*g**3 + 3*g**2 - 442*g - 5 What is the o'th term of 1834, 1831, 1834, 1849, 1882, 1939, 2026? o**3 - 3*o**2 - o + 1837 What is the f'th term of -57, -453, -1497, -3513, -6825, -11757, -18633? -54*f**3 - 18*f + 15 What is the r'th term of 47243, 188956, 425141, 755798, 1180927, 1700528, 2314601? 472
{ "pile_set_name": "DM Mathematics" }
, 1.1, 12185, -2? 5 Which is the nearest to 0? (a) -0.5 (b) -85 (c) 2165/2 (d) -6/5 a Which is the nearest to 316? (a) 31 (b) -0.4 (c) 3/4 (d) 1/7 a What is the closest to 0 in -1.83, 8, -1.19, -1/3, 1/169? 1/169 What is the closest to 1/2 in 2, 4/11, -2/19, -3/164, -5/179, 4? 4/11 What is the nearest to -7.5 in -69, -0.4, 17? -0.4 What is the nearest to 9 in 0.0775, -6.8, 1/2, 2, 1/3? 2 Which is the closest to -0.8? (a) -3 (b) -0.04 (c) 2/13 (d) -4 (e) -19 b Which is the closest to 228? (a) -4/11 (b) -5 (c) 7 (d) 3 (e) -27 c Which is the closest to 0.05? (a) -1/88 (b) 0.4 (c) -26 (d) 19 a Which is the closest to 0.052? (a) -4 (b) -5 (c) -2 (d) -111030 c Which is the closest to -6/5? (a) 252.8 (b) 0.5 (c) -1.4 c Which is the closest to 0.3? (a) 1104 (b) 2/109 (c) 0 (d) 1/2 (e) 2/3 (f) 5 d What is the closest to 2 in -1, 11, 223/18, 0.3? 0.3 What is the closest to -11/4 in 669, 93, 10? 10 Which is the nearest to -16? (a) -2 (b) 3.8 (c) -0.6 (d) 8580 a Which is the nearest to 3? (a) 15781 (b) 20 (c) -37 b What is the nearest to 34 in 5/3, 3/5, 51, -323? 51 What is the closest to 7/5 in -4, -5/3, -67991? -5/3 What is the nearest to 0 in -0.05, 1, 159, 7/10? -0.05 What is the nearest to -2/17 in 4.461, -0.06, -2? -0.06 What is the closest to 17269 in -1/2, -5, 1/5, 3/4, 3? 3 What is the closest to 1/24 in -51, -0.05, -2/7, 7/201? 7/201 What is the nearest to 24 in -0.2, -0.9, 195, -2/21, -0.5? -2/21 What is the closest to -0.4 in 0.2, 4, -4, 12.4, 995? 0.2 What is the closest to 2/5 in 7, -39/32, 1/3, -0.1, 2, -18? 1/3 What is the nearest to -0.4 in 1.1, -2858, 29? 1.1 Which is the nearest to 115? (a) 108/5 (b) 0.2 (c) 0.4 (d) -3/7 (e) -3/8 a Which is the nearest to -2/7? (a) 2888 (b) 1/4 (c) 0.042 (d) -1/3 (e) 0.4 (f) 3/8 d Which is the closest to -2/7? (a) 3 (b) 20 (c) -3/8 (d) -30 (e) 3640 c What is the closest to 0 in -3, -2/23, 4, 0.4, -5368? -2/23 Which is the closest to 16/13? (a) -0.4 (b) -5/64 (c) 4 (d) 2 d What is the nearest to -2 in 18, 8963, 8? 8 Which is the nearest to 147? (a) -0.28 (b) -4 (c) 0.03 (d) -2 (e) 0.08 e Which is the closest to 3? (a) 16 (b) 0.4 (c) 0.21216 b What is the closest to 3 in 42, 3, -2/15, -262, -32? 3 What is the closest to 303707 in 0.04, 1/5, 5? 5 What is the closest to -1 in 1/8, -113301, 4? 1/8 What is the closest to 22/81 in -5, -73, 0, -233? 0 Which is the closest to 19? (a) -0.040701 (b) 0.5 (c) 7 c Which is the nearest to -0.1? (a) 166.1 (b) -1 (c) -1.34 b Which is the closest to 0? (a) 5 (b) 157 (c) 2 (d) 3964 (e) 8 c Which is the nearest to -5.42? (a) -3 (b) -5 (c) -169 (d) -2 b What is the closest to -342 in 0.03163, 2, -2? -2 What is the closest to 37 in -7, -169, 0, 4, 3/8? 4 Which is the nearest to -1/35? (a) -0.065 (b) -2 (c) 5 (d) -0.3 (e) -0.05 (f) -5/6 e Which is the closest to 366? (a) 0.2 (b) -0.5 (c) -129.49 a Which is the nearest to -3/7? (a) 0.4 (b) -1/4 (c) 9318435 b What is the nearest to -13 in 2/3, 53/3, 3, 14, -3/2? -3/2 What is the nearest to 349.2 in -0.1, 1, 3, -79.97? 3 What is the nearest to -97 in 44464, 3/5, -2/5? -2/5 Which is the nearest to 1? (a) -4 (b) 2/97731 (c) 0.4 (d) 2/3 (e) -10 (f) -5 d What is the nearest to -4 in -4895370, -2, 1? -2 Which is the nearest to -0.2? (a) -0.01788 (b) -1/29 (c) -3/10 c What is the nearest to 18/71 in 1/2, 0.1, -2.2, 1, -0.1? 0.1 Which is the closest to 1/4? (a) -106/3 (b) -1/22 (c) 4 (d) 567 b What is the closest to -2/3 in -34, -3, 18018, -0.2, 3/2? -0.2 Which is the nearest to -1/2? (a) -5.2 (b) -121599 (c) -0.02 (d) 1/5 (e) -5 c Which is the closest to 265? (a) 0.049 (b) 2/11 (c) -3/4 b What is the nearest to -6 in -20, 4/9, -2, -645, -0.3, 3? -2 Which is the nearest to 1/562? (a) 0 (b) 0.3 (c) 0.015 (d) 6 (e) 2 a Which is the closest to 0.9? (a) 0.03 (b) 1/7 (c) -2/47 (d) 62.2 (e) -0.5 b Which is the closest to -3? (a) -0.7 (b) 2 (c) -7/221 a Which is the closest to -0.2? (a) -0.05 (b) 3 (c) -0.2 (d) 109 (e) -2 (f) 44.9 c Which is the nearest to 1? (a) -84222 (b) -5 (c) 0 (d) 1/3 (e) -0.5 d Which is the nearest to -6? (a) -23/3 (b) 23 (c) 5 (d) 1/26 (e) 3 a What is the closest to 0.1 in 1/11, 4, 3542612? 1/11 What is the nearest to -36 in 3, -21, 4, 0.52, -4? -21 Which is the closest to -1/21? (a) -8 (b) 1 (c) 23 (d) -1/63 d Which is the nearest to -3? (a) 0.54 (b) 36 (c) 144 a What is the closest to 9 in 0.1, -219, -9/4? 0.1 Which is the nearest to 0.017? (a) 4 (b) 26 (c) -8.81 a Which is the closest to 1.45? (a) 2 (b) 0.02 (c) -1.53 (d) -1/3 (e) -2 (f) -1 a Which is the closest to -680? (a) 29 (b) -4/9 (c) -3 (d) -100 (e) -0.1 d What is the closest to -14.9 in 3, -12, 51/5? -12 Which is the nearest to 2/3? (a) 525424 (b) 2/7 (c) -0.3 b Which is the closest to -0.3? (a) -3 (b) 1412 (c) 38 (d) 0.5 d What is the nearest to -56 in 4/5, -4, 0, 20790? -4 What is the closest to 35.1 in 0, 0.06, -1/4, -0.01, 1? 1 What is the nearest to 0 in 0.332, -16582, 3, -0.3? -0.3 Which is the closest to -0.2? (a) -2/143 (b) -5 (c) -4/15 (d) 0.03 (e) -1 c What is the nearest to 0.3 in 28, -2095, 0? 0 Which is the nearest to -0.1? (a) -88 (b) -0.11 (c) -4 (d) -0.12 (e) 67 b What is the closest to 16047 in 0.5, -2/95, 1/4, 2/15, 5? 5 Which is the nearest to 2? (a) 0.16 (b) -2/19 (c) 6380 (d) 5 (e) 0.1 a Which is the nearest to 2/7? (a) 0 (b) 3 (c) -0.3 (d) 609 (e) 2.8 a Which is the closest to 0? (a) 370/21 (b) 3/37 (c) -1 (d) -2/7 (e) 0 e Which is the nearest to 16? (a) -0.864 (b) 2 (c) -4/11 (d) -0.4 b What is the nearest to 1/3 in 32, 74, 1, 2, 28, -2/11? -2/11 What is the closest to 0.1 in 16, 2, -0.2, 6, -26164? -0.2 Which is the closest to -0.2? (a) 2/39 (b) -0.2 (c) -0.38 (d) -4 (e) -4897 b What is the closest to -0.03 in 1/2, 4274403, -2/11? -2/11 Which is the nearest to -0.1? (a) -3/5 (b) 35 (c) 1/859 (d) 4/5 (e) 5 c Which is the nearest to 2? (a) 4 (b) 0.115 (c) -11 (d) -5/4 (e) 16 b What is the nearest to 0 in -5, -55, 0.023, 63.7, -1, -6/7? 0.023 Which is the closest to -7/6? (a) 2/81 (b) -7.4 (c) -0.4 c Which is the closest to -2/5? (a) 0 (b) 2 (c) 10/11 (d) 337 (e) -16 a Which is the closest to 63/2? (a) 2 (b) -5 (c) 6 (d) -10/9 c Which is the closest to 5913? (a) 0.3 (b) -9/2 (c) 0.052 a Which is the nearest to -4? (a) 2 (b) 6/35 (c) -2 (d) -2263 c Which is the closest to 0.1? (a) -0.6 (b) -0.19 (c) -7 (d) -0.3 (e) -1.5 b What is the nearest to 0.43719 in -0.3, 13, 7, -4? -0.3 What is the nearest to 121 in -40, 5, -3/2, 196? 196 Which is the nearest to -540? (a) 5 (b) -48 (c) 19 b Which is the closest to -2? (a) -0.4 (b) -8 (c) -2287 (d) -5 (e) -0.1 (f) -21/2 a Which is the nearest to 159? (a) -0.2 (b) -4/5 (c) -510 a Which is the nearest to 79? (a) -8 (b) -4 (c) 2/7 (d) 0.5 (e) 0 (f) -5 d What is the closest to -2/3 in -0.154, 5, -13842? -0.154 What is the nearest to 0.8 in -0.5, -236, 3, -3/13? -3/13 Which is the closest to 3? (a) 2 (b) 2/11 (c) 0.072 (d) 4/7 (e) 0.0148 a Which is the closest to -1? (a) 3 (b) -52 (c) 223 (d) 1/6 d Which is the closest to 1? (a) -7 (b) -0.3 (c) 4 (d) -133.8 (e) -6 b What is the closest to -0.4 in -1/8, -18/7, 0.3, 137/5, -1.7, 3? -1/8 Which is the nearest to -24426? (a) 4/5 (b) -0.3 (c) -5 c What is the closest to 11 in -3173, -0.4, 3/11, 5? 5 Which is the closest to -0.2? (a) -5 (b) 21 (c) 0.3 (d) -28899 c What is the closest to -2/11 in 43566, -10/9, -2? -10/9 Which is the closest to 0.2? (a) -1 (b) 0.3 (c) 1/7 (d) -337/531 c Which is the nearest to -3? (a) -199 (b) 0.02 (c) -474 (d) 4 b Which is the nearest to -2/7? (a) -0.06 (b) -3 (c) 1476 (d) 80 a Which is the closest to 2? (a) -1/3 (b) 14.6 (c) 0.353 (d) 0.1 (e) 2/49 c Which is the nearest to 0.1? (a) 170 (b) 46388 (c) 1/3 c What is the closest to 0.1 in 2/3, 1098866, -3? 2/3 Which is the nearest to -31? (a) 18 (b) -2/5 (c) -246 (d) 2 b What is the nearest to 47674 in -1/2, 0.45, -4? 0.45 Which is the closest to -3? (a) -0.5 (b) -2 (c) 0.4 (d) 4/5 (e) 4 (f) -6467 b What is the nearest to -0.1 in 0.2, 46286/13, 115? 0.2 Which is the cl
{ "pile_set_name": "DM Mathematics" }
3, 2082? 3389 What is next in 5632, 25632, 45632, 65632, 85632? 105632 What comes next: 716928, 1433715, 2150502? 2867289 What is the next term in 275562, 547681, 819800, 1091919, 1364038, 1636157? 1908276 What comes next: 110, 291, 24, -1207, -3918, -8625? -15844 What is the next term in 5126, 11589, 18038, 24467, 30870, 37241? 43574 What comes next: -641691, -641630, -641551, -641448, -641315, -641146? -640935 What is the next term in -513781, -513831, -513881, -513931, -513981? -514031 What is the next term in 27644, 55268, 82892, 110516? 138140 What comes next: -1523945, -1523942, -1523939, -1523936, -1523933, -1523930? -1523927 What comes next: -997643, -997652, -997665, -997682? -997703 What comes next: -519913, -519901, -519871, -519817, -519733, -519613, -519451? -519241 What is the next term in 127757, 261333, 394909, 528485, 662061? 795637 What is the next term in 49882, 98957, 148054, 197167, 246290, 295417, 344542? 393659 What comes next: -173678, -347320, -520962? -694604 What is next in -11203, -48531, -111979, -201547, -317235, -459043, -626971? -821019 What is the next term in 2486, 19789, 66790, 158339, 309286? 534481 What comes next: -1001950, -1001918, -1001866, -1001794, -1001702, -1001590, -1001458? -1001306 What comes next: 3340678, 26725398, 90198214, 213803176, 417584334, 721585738, 1145851438? 1710425484 What comes next: -11094, -21820, -32546, -43272? -53998 What is next in 38485, 38582, 38679, 38776, 38873? 38970 What is the next term in 226978, 227410, 227840, 228268, 228694, 229118, 229540? 229960 What comes next: -17331, -23895, -30471, -37065, -43683, -50331, -57015, -63741? -70515 What is the next term in 50493, 95840, 141187? 186534 What is next in 4591543, 4591561, 4591585, 4591615, 4591651? 4591693 What comes next: 16501591, 33003183, 49504775? 66006367 What comes next: -374, -2248, -5398, -9824, -15526, -22504, -30758? -40288 What comes next: -27606, -58402, -89198? -119994 What comes next: -33385, -33248, -33113, -32980, -32849, -32720? -32593 What is next in -53338, -53320, -53284, -53224, -53134, -53008, -52840? -52624 What is the next term in 1826, 2994, 4942, 7670, 11178? 15466 What is the next term in 1254, 4926, 11048, 19620, 30642, 44114? 60036 What comes next: 23657, 30345, 37033, 43721? 50409 What is next in -23134, -92720, -208696, -371062, -579818, -834964, -1136500? -1484426 What comes next: -7098, -9946, -12792, -15636? -18478 What is the next term in -40058, -80071, -120082, -160091, -200098? -240103 What comes next: -9008, -25395, -49170, -80339, -118908, -164883? -218270 What comes next: 30086527, 30086528, 30086529, 30086530? 30086531 What comes next: -90148025, -90148026, -90148027? -90148028 What is next in 10891, 11611, 12331? 13051 What comes next: -122, -5833, -21362, -51617, -101506, -175937, -279818, -418057? -595562 What is the next term in 56327, 113581, 170829, 228071, 285307? 342537 What comes next: 7446, 7563, 7768, 8067, 8466, 8971, 9588, 10323? 11182 What is next in -293763, -585257, -876763, -1168287, -1459835, -1751413, -2043027? -2334683 What is next in 130253646, 130253643, 130253638, 130253631, 130253622, 130253611, 130253598? 130253583 What is the next term in -351, -1362, -4125, -9516, -18411, -31686? -50217 What is the next term in 1866, 3478, 5220, 7158, 9358, 11886? 14808 What is the next term in 372, 767, 1452, 2535, 4124? 6327 What is next in 5133369, 10266728, 15400087, 20533446, 25666805, 30800164? 35933523 What is next in 1096, -1341, -5400, -11081, -18384, -27309, -37856? -50025 What is next in 84568, 85130, 85692, 86254? 86816 What is next in -7183, -28731, -64651, -114937, -179583, -258583, -351931? -459621 What comes next: -58144, -116267, -174370, -232453, -290516? -348559 What comes next: -27300506, -54601011, -81901516, -109202021? -136502526 What is next in -6160875, -6160870, -6160865? -6160860 What is next in -101606, -194490, -287376, -380264? -473154 What is the next term in -18498, -39143, -59788, -80433? -101078 What is next in -127980, -128098, -128218, -128340? -128464 What comes next: -1808403, -1808410, -1808429, -1808466, -1808527, -1808618, -1808745? -1808914 What is next in 12274, 24850, 37426, 50002? 62578 What is next in 135164, 268511, 401858, 535205, 668552? 801899 What is the next term in -109724, -109897, -110080, -110273, -110476? -110689 What is the next term in 26811038, 26811026, 26811014, 26811002? 26810990 What is next in -5512173, -5512012, -5511851, -5511690? -5511529 What is the next term in 58154, 58183, 58224, 58283, 58366? 58479 What is next in -2600, -7086, -11574, -16064? -20556 What comes next: -2926, -6098, -9512, -13168, -17066, -21206, -25588? -30212 What comes next: -73050, -146303, -219556, -292809, -366062? -439315 What comes next: -2494775, -4989550, -7484325, -9979100, -12473875? -14968650 What comes next: -83716, -166833, -249952, -333073, -416196, -499321? -582448 What is next in 2363912, 2363898, 2363866, 2363810, 2363724, 2363602, 2363438? 2363226 What comes next: 59573777, 119147555, 178721333, 238295111? 297868889 What comes next: 22829, 45728, 68649, 91586, 114533, 137484? 160433 What is next in 40021, 79833, 119647, 159463? 199281 What comes next: -30320448, -60640899, -90961350? -121281801 What is the next term in 3051928, 3051907, 3051886, 3051865, 3051844? 3051823 What is the next term in -1461, -4960, -9071, -12378, -13465? -10916 What comes next: -439, -1039, -1727, -2503, -3367, -4319? -5359 What comes next: -144, 1001, 5828, 16725, 36080? 66281 What is next in 6359, 24086, 41809, 59528, 77243, 94954, 112661? 130364 What is the next term in 2390, 4907, 7718, 10973, 14822? 19415 What is the next term in 216132549, 216132549, 216132551, 216132555? 216132561 What is next in -15767496, -31534992, -47302488, -63069984, -78837480, -94604976? -110372472 What is the next term in -497, -2021, -5659, -12467, -23501? -39817 What is the next term in 5888, 13535, 26266, 44081, 66980, 94963? 128030 What is next in 341, 1381, 3125, 5573? 8725 What is next in -4998, -9592, -14114, -18558, -22918, -27188, -31362? -35434 What comes next: 794, 3169, 7098, 12545, 19474, 27849, 37634? 48793 What is next in 928870, 3715504, 8359896, 14862046? 23221954 What is next in 2249509, 8998036, 20245581, 35992144, 56237725, 80982324, 110225941? 143968576 What comes next: 19121, 39342, 59563? 79784 What is the next term in 42493699, 42493691, 42493683? 42493675 What comes next: -374583, -374580, -374577, -374574, -374571? -374568 What is next in 24304011, 48608027, 72912045, 97216065? 121520087 What is the next term in 474366397, 474366398, 474366399, 474366400, 474366401, 474366402? 474366403 What is the next term in -8460, -16898, -25304, -33684, -42044, -50390, -58728, -67064? -75404 What is the next term in 1344619, 1344584, 1344547, 1344508? 1344467 What is the next term in -40486254, -40486253, -40486252? -40486251 What comes next: -1258, -2775, -4542, -6553, -8802, -11283? -13990 What comes next: 13778, 28018, 42708, 57848, 73438, 89478? 105968 What comes next: -919, -7030, -23031, -53680, -103735, -177954, -281095, -417916? -593175 What comes next: -16609029, -33218055, -49827081, -66436107, -83045133, -99654159? -116263185 What is next in 3789, 7862, 11935, 16008? 20081 What is next in -159829, -319690, -479551, -639412? -799273 What comes next: 89106, 89220, 89336, 89454, 89574? 89696 What is next in 85495, 86898, 90703, 98110, 110319, 128530? 153943 What comes next: 3125, 12137, 27141, 48137, 75125, 108105, 147077? 192041 What comes next: 31605754, 63211513, 94817272, 126423031? 158028790 What is the next term in 22732379, 45464757, 68197135? 90929513 What comes next: -5075191, -5075268, -5075345, -5075422, -5075499? -5075576 What is the next term in -20610, -19167, -17724, -16281? -14838 What is the next term in -48524, -48932, -49340, -49748, -50156, -50564? -50972 What is the next term in -33, 25, 163, 381, 679, 1057, 1515? 2053 What is the next term in 44805, 44802, 44797, 44790, 44781, 44770? 44757 What is next in -1495, 1426, 4367, 7328, 10309, 13310? 16331 What comes next: -549, -493, -451, -429, -433, -469? -543 What is next in -968, 6492, 13950, 21406? 28860 What is the next term in -9169159, -9169163, -916
{ "pile_set_name": "DM Mathematics" }
15 Let y(n) = 0 + 31*n**2 + 0 - 12*n**2 - 17*n**2. Suppose 0 = 3*o + 3. Let m be o - 0/(-1 + 2). Determine y(m). 2 Let p(s) be the second derivative of -s**4/12 + s**3/2 - s**2/2 + 9*s - 11. Let x be -3*(8/(-6) + 1). Give p(x). 1 Suppose 0 = 4*o - 4*i, 0 = -3*o - 3*i + i + 10. Suppose 4 = 10*p + 24. Let w(m) = -3. Let s(q) = 13*q - 9. Let t(u) = p*w(u) + s(u). Give t(o). 23 Let i(s) = -s**2 + 2*s - 3. Let c(y) = -88*y - 373. Let t be c(-12). Let k = t + -678. What is i(k)? -18 Let b(a) = a**2 - 11*a + 20. Let p = -1 + 8. Let k be b(p). Let f be 2 - 6*4/k. Let w(z) = -z + 8. Give w(f). 3 Let y(h) be the first derivative of h**2/2 - 22*h + 472. Determine y(19). -3 Let z(k) = 2*k**2 - 5*k - 4. Let g(l) = -l**2 + 14*l - 20. Let q be g(10). Suppose 5*b - q*o - 27 = -21*o, 0 = 5*b - o - 23. Determine z(b). 21 Let a(x) = -2*x - 15. Let b(v) = 3*v + 8. Let i(w) = a(w) + 3*b(w). Determine i(-2). -5 Let n(z) = -z**2 - 116*z - 776. Let t be n(-7). Let s(f) = f**3 + 8*f**2 - 62*f + 39. Give s(t). 0 Let o(q) = q**2 - 16 + 9 + 8. Suppose 7 + 17 = -2*p. Let g be (p/(-9))/((-6)/(-9)). What is o(g)? 5 Let l(q) = -q - 13. Let v = -10 - 2. Let p be l(v). Let t(m) = 1 - 2 + 569*m - 568*m. Calculate t(p). -2 Let o(v) be the first derivative of 4*v**2 + 36*v + 2071. Determine o(-6). -12 Let a(q) = 51*q - 25. Let r(g) = -78*g + 25. Let f(k) = 3*a(k) + 2*r(k). What is f(-7)? -4 Let m(t) = -2 + 5 + 6*t - 5 + 27 + 43. Give m(-6). 32 Suppose 23*c = -2*c + 23250. Let z(i) = -i**3 - 898*i + 1860*i - 14*i**2 + 5 - c*i. Give z(-16). 5 Let h = -3898 - -11696/3. Let n(j) be the first derivative of 9/2*j**2 + 18 - h*j**3 - j. Give n(6). -19 Let b(n) be the second derivative of 3*n**3 - 6*n. Let p be b(1). Let w = p - 13. Let v(i) = -i**2 + 6*i + 5. Determine v(w). 10 Let d(t) = -6*t + 101. Let r be d(17). Let i = r + 7. Let m(y) = y**2 - 8*y + 8. Calculate m(i). -4 Let a(n) = n**3 - 2*n**2 + 1. Let p be (-6 - -5)*(0 - 15). Let o(c) = -c**2 + 14*c. Let m be o(p). Let u = m + 16. Give a(u). 0 Let s(o) = -131*o + 22 - 123*o - o**2 + 389*o - 131*o. Give s(-4). -10 Let a(d) = -d**2 + 28*d + 131. Suppose -54*g + 111 - 327 = 0. Give a(g). 3 Let h(y) = -2*y**3 + 59*y**2 - 29*y + 16. Let d be h(29). Suppose 69 = d*v - 11. Let b(l) = -l**3 + 6*l**2 - 4*l + 3. Determine b(v). 8 Let g(y) = -y**2 - 4*y + 7. Let w(n) = -9*n - 121. Let u be w(-15). Let i be u/(-210) - (-74)/(-15). What is g(i)? 2 Suppose -2*b = -3*q + 62, -4*q + 45 - 9 = -b. Let j = b + 32. Let w(h) = j*h**3 - 21*h**2 + 26*h**2 + 4*h + 5 - 5*h**3. What is w(6)? -7 Let m be 29/3 - 20/(-15). Let x(f) = 146*f + m*f**2 - 309*f - f**3 + 146*f - 8. Calculate x(9). 1 Let m(u) = 2*u - 32. Let y be m(19). Let p = 2 - -3. Let d(j) = -15*j + 40*j - j**2 - 17*j + p. Calculate d(y). 17 Let l be -3*-2*10/15. Let q(w) be the third derivative of -w**7/1260 + w**6/180 - w**5/30 - 9*w**2. Let j(f) be the third derivative of q(f). Give j(l). -12 Let l be (-6 - -5)/(516/(-260) - -2). Let d = l - -75. Let k(p) = p**2 - 9*p - 7. Calculate k(d). 3 Let l(s) be the second derivative of s**7/2520 + s**6/48 - s**5/12 + 5*s**4/2 + s**3/3 + 4*s - 6. Let n(b) be the third derivative of l(b). Determine n(-16). 6 Let w(j) = 10*j + 9. Suppose 20 = -14*l + 16*l + 3*n, -n = -l. Determine w(l). 49 Let y(b) be the first derivative of 35 - 1/180*b**6 + 0*b**4 + 0*b + 0*b**2 - 1/40*b**5 + 4/3*b**3. Let c(a) be the third derivative of y(a). What is c(-2)? -2 Suppose 4*l - 4 - 12 = 0. Let o(n) = -139*n - 3*n**2 + 290*n - 146*n - 4*n**2 - 2 + 6*n**2. Give o(l). 2 Let b be 3*(68/12 - 1). Let u(r) = -1 + 4836*r**2 - 4821*r**2 - 14*r - 3 - r**3 + 6. Calculate u(b). 2 Suppose i = -4*g + 13, -5*g + 32 = -0*g - 4*i. Let u(n) = 3*n**2 - 2*n - 5. Determine u(g). 35 Let a = -57 + 60. Let w(u) = 89*u**2 + 3 - 2*u**a + 8*u + 3*u**3 - 82*u**2. Calculate w(-5). 13 Let c(v) = -v**2 - 3*v + 8. Let q(x) = 61*x. Let a be q(-1). Let l = 91 + a. Suppose f + 4*f = -l. Determine c(f). -10 Let z(c) be the first derivative of -c**2/2 + 4*c + 4. Suppose 0 = 3*m + 6*g - 10*g - 20, m - 4*g - 20 = 0. What is z(m)? 4 Let f(d) = -13*d - 9. Let j(m) = -3*m - 2. Let h(r) = f(r) - 3*j(r). Let z(b) = 2*b + 10. Let q be z(-6). What is h(q)? 5 Let t(w) = w**2 + w - 44. Let u be t(-8). Suppose u*a + 79 = -17. Let i(m) = -m**3 - 9*m**2 - 9*m - 1. What is i(a)? 7 Suppose -4*d + 31 = -3*x, -x - 2*d - 7 = 2*x. Let y(c) be the first derivative of 3*c**2/2 + 3*c + 62. What is y(x)? -12 Let k(u) = 43*u + 291. Let x(a) = 126*a + 876. Let i(n) = -11*k(n) + 4*x(n). Give i(-10). -7 Suppose -3 = 2*d + 11. Suppose 6*i + 52 = 10. Let o(t) = -5*t - 12. Let w(q) = -9*q - 23. Let c(p) = i*o(p) + 4*w(p). Give c(d). -1 Suppose 10*s = 6*s + 4, -65 = -6*y + s. Let w(b) = 5*b - 56. Give w(y). -1 Let r(f) = -38 + 25*f - 8*f - 12*f + 15. Determine r(13). 42 Let h(m) = -159*m + 5410. Let b be h(34). Let f(n) = -7*n**2 + 5*n + 1. What is f(b)? -91 Let x(f) = -8*f**2 - 2*f - 1. Let b = -4410 - -4409. What is x(b)? -7 Let b(g) = 5*g**2 - 2 + g - g**2 + 3*g - 3*g**2 - 3*g**2. Determine b(4). -18 Let u(z) = -2089*z**3 + z**2. Let y be u(-1). Let s(q) = 1 + 5*q + 2091*q**2 - y*q**2 + 4. What is s(-3)? -1 Let a(w) be the third derivative of -w**6/120 - w**5/60 + w**4/12 + w**3/6 + 10*w**2. Let t = 76 + -70. Suppose t - 9 = x. Calculate a(x). 13 Let v = -14 - -16. Let q(d) = 2*d**v + 6*d - 4 - 2*d + 2. Let t = 342 - 346. Calculate q(t). 14 Let y = 92 + -82. Let l(x) = 15*x - 5*x - 2*x + 2*x - 8*x - 19. Calculate l(y). 1 Let p(k) = k**2 - 14*k - 55. Let z be 156/26*6/(-14)*-7. What is p(z)? 17 Suppose 40 = 6*o - 2*o. Suppose -o*z = -z. Let g(l) = 2*l**2 + l - 6. Let j(u) = u**2 + 1. Let w(p) = g(p) - 3*j(p). Determine w(z). -9 Let n(h) = -88 + 280 + h - 89 - 86. Give n(-18). -1 Let f(h) = 3*h - 50. Let o be f(18). Let v be -3 + 2 - 2 - 176/o. Let k = v - -52. Let t(d) = d**2 - 4*d + 7. What is t(k)? 12 Let n(d) be the third derivative of -d**6/120 - d**5/20 + d**4/6 - 76*d**2. Let h be ((-60)/(-8))/(3/6). Let k be -10*(2 + (-24)/h). Give n(k). 0 Let w(n) be the first derivative of -n**4/4 - 4*n**3/3 - n**2/2 + n + 2937. Let d = 1 - 4. What is w(d)? -5 Let z = 400 - 398. Let b(c) = 670*c**3 + c - 671*c**3 + 9*c**z + 13 + 9*c. What is b(10)? 13 Let s(f) = -f**2 - 30*f + 3. Let o = 376 - 408. Calculate s(o). -61 Let d be (((-18)/105)/(2/10))/((-10)/(-70)). Let y(v) = v**2 + 5*v + 5 + 1 + 0 - 2*v. Give y(d). 24 Suppose 4*f + 35*z = 34*z + 60, 2*z = 2*f - 40. Let g(p) be the second derivative of 0*p**2 + 0*p**4 + 0 - 1/2*p**5 + f*p + 0*p**3. Calculate g(-1). 10 Let n(k) = k**3 - 4*k**2 - 2*k + 2. Let l be n(0). Let s(d) = 2*d**2 + 2*d**3 - d + 1 + d**2 - d**l - 4*d**2. Give s(2). 7 Let c be (-5)/(-45) + (-88)/(-99). Let r(a) = -33*a + 40. What is r(c)? 7 Let g(o) = 2*o - 1. Let n(t) be the third derivative of 5*t**4/24 - 17*t**3/6 + 8*t**2. Let k be n(5). Suppose 2*f + 24 = 4*v + k, 5*v = -f + 6. Give g(v). 3 Suppose -51*s + 24*s = -25*s. Suppose 5 = h - i, 4*h + 3*i + s*i = 20. Let r(q) = -4*q - 2*q + 7*q - 6. What is r(h)? -1 Let h(p) = -2*p**2 + 10*p. Suppose 0 = 8*i + 9*i - 102. Calculate h(i). -12 Let d(c) be the third derivative of -1/60*c**5 + 47*c**2 - 1/3*c**4 - 2/3*c**3 + 0 + 0*c. What is d(-7)? 3 Let f(g) be the second derivative of -122 + 5/3*g**3 - 1/12*g**4 + g - g**2. Determine f(7). 19 Let c(o) = o**3 - o**2 - 2*o. Let a be (7 - 1)/(9/6). Suppose u - 11 = -a*z, -4*u + 9*u = 3*z - 14. Give c(z). 12 Let j(l) = -1 - 8*l**2 + 122*l + 8*l**2 - 130*l + l**2. Let q = -4 - -13. Determine j(q). 8 Let l(p) = 9*p + p**2 + 18481*p**3 - 18480*p**3 + 37 - p**2 - 11*p. Calculate l(0). 37 Let n(x) = -7 + 34682*x + 8 - 34795*x. Calculate n(-1). 114 Let u(q) = -4*q - 15. Suppose -3*o - 21 = -0*o. Let t be -5 - o - -1 - (10 - 1). Let i be u(t). Let a(r) = -r**2 + 8*r + 8. Give a(i). -1 Let h(k) = -2362 + 0*k**2 - 6*k**2 + 2366 - k**3 - 2*k + k**2. Let f = -9 + 6. Give h(f). -8 Let a(f) = -f**2 - 6*f - 1. Let p be a(-5). Suppose 6 = -4*v - q, -5*v + p*q = -4*v - 7. Let x(j) = 6*j**2 + 6 - 11*j**2 - 13*j**2 - 5. Calculate x(v). -17 Let x be (2/5)/(1/5). Let z = -436 - -444. Suppose -2 = x*d + z. Let h(n) = 2*n - 7. What is h(d)? -17 Let u(w) = -w**3 + 2*w**2 + 9*w - 5. Let f be (20/180)/((-2)/6)*15 - -9. What is u(f)? -1 Let f be (-8552)/6
{ "pile_set_name": "DM Mathematics" }
Suppose -4*a = -3*c - 10, 0 = -5*a - c - c + 24. Let k be (-3)/(a + 495/(-123)). What is k rounded to the nearest ten? 120 Suppose -3*x = -11616 - 21981. Suppose 2*r - z - x = 0, -5*z = 5*r - z - 28004. What is r rounded to the nearest 1000? 6000 Let n = 289 + -405. Let i = 116.000106 + n. What is i rounded to 5 decimal places? 0.00011 Let c = 5605026 + 813248. Let u = c - 3783853. Suppose -i + u = -2765579. Round i to the nearest 1000000. 5000000 Let p = 1819.03557 - 1828.236. Let c = 114 - 104.8. Let g = p + c. What is g rounded to four decimal places? -0.0004 Let s = 349834535 - 349834555.99999955. Let w = -0.47 - 20.53. Let b = w - s. Round b to 7 dps. -0.0000005 Let k = 1050 + -1050.00000304. Round k to 6 decimal places. -0.000003 Let h = -0.085 - -0.273. Let b = h - 0.18909. Round b to 4 dps. -0.0011 Let l(r) = r**3 - 7*r**2 - 9*r + 12. Let z be l(8). Let n be 32*(z/(24/(-1168149)) - -4). Round n to the nearest 1000000. -6000000 Let f = -80 + 80.0056. Let w = f + -0.4636. What is w rounded to one decimal place? -0.5 Let k = -5084.0000002649 - -5084. What is k rounded to 7 dps? -0.0000003 Let n(c) = -58664*c. Suppose 2*q - 3*b - 12 = 0, q + 2*b = -3*q + 8. Let y be n(q). Let g be 1/2 - y/16. What is g rounded to the nearest one thousand? 11000 Let i(h) = -h**2 + 132. Let x(n) = -6*n**2 + 660. Let u(k) = 11*i(k) - 2*x(k). Let w be u(0). What is w rounded to the nearest 10? 130 Let l = -63 - -40. Let q = -17.92 - 5.106. Let a = q - l. Round a to two dps. -0.03 Let r = 833 - 834.184. Round r to 2 dps. -1.18 Let a be (-3 + 30/18)*(-408)/(-16). Let w(i) = 89*i**2 + 1. Let c be w(1). Let f = a + c. Round f to the nearest 10. 60 Let p = 1148 - 1252.35. Let o = 87.3535 + p. Let b = o + 17. Round b to three decimal places. 0.004 Let h be 16429511 - 2/4*8. Suppose 0 = z + 3, -5*z - 2729522 = j - h. Round j to the nearest 1000000. 14000000 Let j = -232 + 232.191. Let t = j - 0.1728. What is t rounded to three decimal places? 0.018 Let p(j) = -j**2 - j + 16. Let h be p(-5). Let s be (h - -430)*(0 - (-4000)/(-12)). What is s rounded to the nearest 10000? -140000 Let b = 5 + 3. Let n be 19134*(-6)/(-14) - b/28. Round n to the nearest one thousand. 8000 Let j = -0.0181509 - -0.1711612. Let v = j - 0.153. What is v rounded to 6 dps? 0.00001 Let w = -1411.23705 + 1438.0256968. Let b = -44.78864716 + w. Let y = b + 18. Round y to 7 dps. -0.0000004 Let y = -1169 - -1168.999996313. What is y rounded to seven dps? -0.0000037 Let k(t) = -44*t**2 + 8*t + 1. Let u be k(6). Let w = u - -3172. Let j be (-5 + 2 - -6) + w. Round j to the nearest 100. 1600 Let r = 221 + -371. Let s be -750*r/2*800/(-9). Round s to the nearest 1000000. -5000000 Suppose -6*a + 12 = -8*a. Let u be -2400*(0 + 3 - (-14018)/a). Round u to the nearest one million. 6000000 Let w be 18786 + 2/9*18. Round w to the nearest one thousand. 19000 Let k = 21.001 - 0.001. Let f = -46640716 + 46640737.000009. Let c = k - f. Round c to six decimal places. -0.000009 Let i = -28231 - -42461. What is i rounded to the nearest 1000? 14000 Let p = 0.01814 + -0.0034. What is p rounded to three dps? 0.015 Let i = -117.40000907 + 117.4. What is i rounded to 7 dps? -0.0000091 Let h = 206.6792 + -208. Let n = h + 1.3. What is n rounded to 3 decimal places? -0.021 Let c(s) = 9*s**2 - 6*s + 2. Let p be c(3). Suppose p*r - 13600 = 69*r. What is r rounded to the nearest one hundred? -3400 Let v = 5.6 - 5.6. Let m = 0.33 + v. Round m to 1 decimal place. 0.3 Let a(u) = 7*u + 25. Let x be a(-3). Let s = x - 76. Round s to the nearest 10. -70 Let s = 1145 - 1144.998952. What is s rounded to 4 dps? 0.001 Let b = -74120349 - -42120349. What is b rounded to the nearest 1000000? -32000000 Let o(u) = 62962*u + 9. Let i be o(-3). Let s = -352877 - i. Round s to the nearest 10000. -160000 Let v = 0.09 - 6.09. Let t = -1362808 - -1362814.000008. Let q = v + t. Round q to five dps. 0.00001 Let m = 3.74 - 2.68. What is m rounded to zero dps? 1 Let i(t) = -t**2 - 5*t + 6. Let f be i(-6). Suppose -n + 3 + 0 = f. Suppose -2*q + 497 = -5*c, -390 - 108 = 5*c - n*q. Round c to the nearest 10. -100 Let n(m) = 2769234*m - 42. Let f be n(13). Round f to the nearest 1000000. 36000000 Let x be 1084/(-5)*(-73195)/2. Suppose 65652 + x = 2*t. Suppose 3*u + 2*w - 11999990 = 0, -2*u = -u + w - t. What is u rounded to the nearest 1000000? 4000000 Let f = 408840 + -2470840. What is f rounded to the nearest 100000? -2100000 Let c = -607.5998 - -608. Let s = -0.45 + 0.05. Let d = c + s. What is d rounded to 3 decimal places? 0 Let i(q) = q**3 - 11*q**2 + 3*q + 12. Let m be i(10). Let x = m - -86. Suppose -x = 3*t + 32. What is t rounded to the nearest one hundred? 0 Suppose -4*a + 248479995 = x, -186360025 = -3*a - 3*x + 8*x. What is a rounded to the nearest 1000000? 62000000 Let a = -32.4002576 + 32.4. What is a rounded to five dps? -0.00026 Let p = 11 - 11.13. Let u = p - -2.13. Let f = u - -0.9. What is f rounded to the nearest integer? 3 Let t(o) = 499999*o + 1. Let c be 11 + 2*12/(-8). Suppose 4*f + 2*b + 2 = 0, -c*f + 3*f + 3*b + 14 = 0. Let i be t(f). What is i rounded to the nearest 1000000? 1000000 Suppose 5*s - 14*s = -11610. Round s to the nearest 100. 1300 Let s = -933.8688 - -934. What is s rounded to 2 decimal places? 0.13 Let d = -289 + 122. Let g = d - -167.308. Round g to 1 dp. 0.3 Let l = 1.1415 - 1.692. What is l rounded to 2 dps? -0.55 Let u = 29 + -42. Let p = -27 - u. Let d = p - -14.08. Round d to 2 dps. 0.08 Let v = 99.99428 - 100. Round v to 2 dps. -0.01 Let t = -18 - -17.75. Let p = t + -27.75. Let n = p - -28.55. Round n to 1 dp. 0.6 Let r = -6229 - 21271. What is r rounded to the nearest 10000? -30000 Let n = -4525.512 - -4543. Let j = 20.42 + n. Let s = j + -38. What is s rounded to two dps? -0.09 Let j(v) = 4*v**3 + 2*v - 2. Let o be j(1). Let r be (-9)/(27/462)*5*o. Round r to the nearest one hundred. -3100 Let f = -462.8951 - -282.9028. Let l = -179.648 + -0.352. Let u = f - l. Round u to three decimal places. 0.008 Let a be -3*(-2 - -1) - 4 - 434699. Round a to the nearest one hundred thousand. -400000 Let n be 2/((2/(-2))/(-1)). Suppose 64*l - 67*l = 9. Let o be ((-123)/l)/(n/(-8)). Round o to the nearest ten. -160 Let y = -4817805.0999992 - -4817807. Let a = y - 1.9. What is a rounded to seven dps? 0.0000008 Let i(j) = 27*j**3 + 1. Suppose -7*l + 5 = -2*l. Let d be i(l). Let m be (-461)/4 - 21/d. What is m rounded to the nearest 10? -120 Let s = 6.83 - -0.17. Let v = s + -6.945. Let k = -0.055046 + v. What is k rounded to 5 decimal places? -0.00005 Let l = -0.26 - -0.5. Let s = l - 0.17. Let y = s - 0.042. Round y to 2 dps. 0.03 Suppose 2910338 = 13*f + 851138. What is f rounded to the nearest 10000? 160000 Let z = 6687320.999816 - 6687423. Let o = -102 - z. What is o rounded to 5 dps? 0.00018 Suppose -4*l + 8*l = -64. Let f = l - -17. Let c be 3000*(124/(-6))/f. What is c rounded to the nearest 10000? -60000 Suppose -11 - 1 = -4*k, -12 = -4*x - 4*k. Suppose x = 4*o - 2*o + 186000. Round o to the nearest 10000. -90000 Let j(q) = -7*q + 9. Let v(k) = k - 1. Let t be v(-6). Let h be 1*3 + (t - -10). Let s be j(h). Round s to the nearest 10. -30 Let s = 190 + -189.9999986. What is s rounded to six dps? 0.000001 Suppose -2*c + c = -5010. Round c to the nearest 1000. 5000 Suppose 0 = 3*k + 3*p - p - 124, 2*k = 2*p + 86. Let d(q) = -q**2 + q - 6. Let y be d(5). Let w = k - y. Round w to the nearest ten. 70 Let y = 5.8 + -5.977. Let g = 0.009 + y. Let i = g - -0.2. What is i rounded to 2 dps? 0.03 Let z = 7764 - 7769.221. Let l = z - -5.3. What is l rounded to two dps? 0.08 Let l(g) = 4*g - g + 2*g - 4*g + 3. Let p be l(-10). Let u be 7769998/7 - 2/p. What is u rounded to the nearest one hundred thousand? 1100000 Let d = -0.0237736 + 0.02197. Round d to 5 dps. -0.0018 Let i(c) = -117499*c + 4. Suppose o - 4*o = 15. Let p = o - -1. Let q be i(p). What is q rounded to the nearest 100000? 500000 Let b = 0.22112991 + -1.23112706. Let t = b + 1.01. Round t to 7 decimal places. 0.0000029 Let i = -17 + -3. Let u = i + 20.000025. What is u rounded to 5 decimal places? 0.00003 Let f = -18.80002411 + 18.8. What is f rounded to six dps? -0.000024 Let c = -1843.0000759 - -1843. What is c rounded to five decimal places? -0.00008
{ "pile_set_name": "DM Mathematics" }
151/6 and 47/50144. 150432 What is the common denominator of -45/11 and -4/5288433? 58172763 Calculate the common denominator of 1/80155 and -12/66079. 13546195 Calculate the common denominator of 113/420 and -89/600700. 12614700 Find the common denominator of 32/63 and 143/83220. 1747620 Calculate the smallest common multiple of 495900 and 27550. 495900 Calculate the common denominator of 7/8 and 25/94376. 94376 What is the least common multiple of 473 and 40592? 446512 What is the least common multiple of 183352 and 52? 183352 Calculate the smallest common multiple of 36 and 29364. 88092 Find the common denominator of 29/14003 and -1/8911. 98021 What is the least common multiple of 298 and 596? 596 Calculate the lowest common multiple of 1 and 339808. 339808 What is the least common multiple of 119140 and 1260? 1072260 Calculate the least common multiple of 381339 and 2415147. 7245441 Find the common denominator of -31/1484 and 34/1113. 4452 What is the least common multiple of 450 and 46350? 46350 Calculate the common denominator of -7/287988 and 17/1854. 863964 Calculate the smallest common multiple of 56 and 12488. 12488 What is the least common multiple of 166848 and 1738? 166848 What is the lowest common multiple of 1939152 and 10? 9695760 What is the lowest common multiple of 9198 and 876? 18396 Find the common denominator of 57/70 and 61/16359. 163590 Calculate the lowest common multiple of 6570 and 6. 6570 What is the least common multiple of 108 and 348420? 3135780 What is the least common multiple of 994 and 1420? 9940 Find the common denominator of 26/1785 and -26/549. 326655 Calculate the smallest common multiple of 1593 and 21. 11151 Calculate the lowest common multiple of 28791 and 225. 719775 Calculate the common denominator of 101/152 and 35/21136. 401584 Calculate the smallest common multiple of 80384 and 4396. 562688 What is the common denominator of -73/35750 and -151/307450? 1537250 Calculate the common denominator of -7/4 and 27/9362. 18724 What is the lowest common multiple of 18040 and 6560? 72160 What is the lowest common multiple of 1710 and 3600? 68400 Calculate the lowest common multiple of 1024 and 83456. 166912 What is the least common multiple of 146050 and 150? 438150 What is the smallest common multiple of 64086 and 6? 64086 What is the common denominator of -3/75625 and 43/1925? 529375 Calculate the common denominator of -44/91977 and -103/7482. 5334666 What is the least common multiple of 972 and 1440? 38880 Calculate the smallest common multiple of 24 and 4496. 13488 Find the common denominator of -113/196010 and -33/2. 196010 What is the least common multiple of 5850 and 204? 198900 Calculate the lowest common multiple of 6552 and 756. 19656 Calculate the common denominator of 25/64224 and -79/66. 706464 Calculate the common denominator of -69/26380 and 87/460. 606740 Calculate the lowest common multiple of 22420 and 48970. 1860860 Find the common denominator of 23/66612 and -157/10248. 133224 What is the least common multiple of 12 and 53580? 53580 What is the common denominator of 37/31160 and -127/1330? 218120 What is the common denominator of 14/2019 and -25/2? 4038 Calculate the smallest common multiple of 540 and 236. 31860 Calculate the common denominator of 55/5472 and 149/1032384. 3097152 Calculate the smallest common multiple of 23679 and 63144. 189432 Calculate the common denominator of 73/11295 and 42/13. 146835 Calculate the least common multiple of 6288 and 1764. 924336 What is the common denominator of 50/11169 and -53/170? 111690 Calculate the common denominator of -67/1078479 and 69/3115606. 28040454 Calculate the common denominator of -42/223679 and 121/6. 1342074 What is the lowest common multiple of 34875 and 655650? 3278250 Calculate the smallest common multiple of 396480 and 3360. 396480 What is the lowest common multiple of 6504 and 738? 799992 What is the smallest common multiple of 6184 and 5411? 43288 What is the lowest common multiple of 9 and 148055? 1332495 Find the common denominator of -59/128320 and -7/32080. 128320 What is the lowest common multiple of 32844 and 368? 131376 Calculate the common denominator of -67/208 and 27/110. 11440 Calculate the common denominator of -79/10 and -27/127192. 635960 Calculate the least common multiple of 233775 and 514305. 2571525 Calculate the smallest common multiple of 386 and 1248. 240864 Calculate the common denominator of -19/52416 and -115/170352. 681408 Calculate the common denominator of -11/8040 and -37/62. 249240 What is the common denominator of -97/69552 and -88/147? 486864 What is the lowest common multiple of 160611 and 11? 160611 Calculate the least common multiple of 17100 and 2025. 153900 What is the least common multiple of 628112 and 3? 1884336 What is the smallest common multiple of 1232 and 10318? 82544 Calculate the common denominator of -65/8 and 55/1336. 1336 Calculate the common denominator of 29/343 and 71/5565. 272685 Find the common denominator of -53/610 and 123/4330. 264130 Calculate the lowest common multiple of 110136 and 7413. 770952 What is the least common multiple of 42020 and 27313? 546260 Find the common denominator of -21/214 and 53/644. 68908 What is the common denominator of 53/600 and 23/400140? 4001400 What is the least common multiple of 1830 and 63? 38430 Find the common denominator of 101/195 and 53/845. 2535 Calculate the smallest common multiple of 267064 and 233681. 1869448 What is the common denominator of -8/7 and 15/3872? 27104 Calculate the lowest common multiple of 3679 and 38205. 496665 Find the common denominator of -55/112328 and 47/4. 112328 What is the smallest common multiple of 5401 and 491? 5401 What is the smallest common multiple of 4656 and 12804? 51216 Calculate the smallest common multiple of 91 and 46995. 328965 What is the common denominator of 91/2029362 and -10/3720497? 22322982 What is the smallest common multiple of 192 and 110688? 221376 What is the smallest common multiple of 6378 and 54? 57402 Calculate the least common multiple of 30498 and 276. 60996 Calculate the least common multiple of 4336 and 40. 21680 Calculate the common denominator of 85/10752 and 11/4416. 247296 What is the smallest common multiple of 516 and 13244? 39732 Calculate the smallest common multiple of 740 and 27158. 271580 What is the common denominator of 87/130 and 109/3960? 51480 Calculate the common denominator of -91/68676 and -53/9894. 1167492 Calculate the common denominator of -9/954958 and 17/196609. 6684706 Calculate the common denominator of -31/144 and -57/198704. 1788336 What is the least common multiple of 40960 and 122880? 122880 What is the common denominator of -3/3686 and -51/15998? 1551806 Find the common denominator of 37/490 and 111/44. 10780 What is the common denominator of 67/1274112 and 115/2002176? 14015232 What is the common denominator of 85/142 and -119/114? 8094 Calculate the common denominator of 12/13 and -127/146838. 1908894 Calculate the common denominator of -49/36000 and -209/1680. 252000 Calculate the least common multiple of 916 and 304. 69616 What is the least common multiple of 10437 and 24353? 73059 Calculate the least common multiple of 40872 and 24. 40872 Calculate the lowest common multiple of 5130 and 171. 5130 What is the smallest common multiple of 1980 and 20520? 225720 What is the common denominator of -23/166432 and 85/213984? 1497888 What is the least common multiple of 960 and 176? 10560 Find the common denominator of 101/616 and -83/3248. 35728 Calculate the least common multiple of 857917 and 17288. 6863336 What is the least common multiple of 22681 and 37? 22681 Calculate the least common multiple of 1548 and 10. 7740 Find the common denominator of 83/416 and 49/11440. 22880 What is the common denominator of -33/27761 and -43/4828? 111044 What is the smallest common multiple of 7467 and 30? 74670 What is the smallest common multiple of 18 and 302964? 908892 What is the least common multiple of 621512 and 20? 3107560 What is the least common multiple of 23972 and 8? 47944 Calculate the smallest common multiple of 654 and 2180. 6540 What is the smallest common multiple of 736 and 867928? 3471712 Calculate the common denominator of -55/
{ "pile_set_name": "DM Mathematics" }
10 31b8d2 (base 16) to base 2 1100011011100011010010 What is a1399 (base 13) in base 3? 112122122222 What is 1518239 (base 10) in base 11? 947748 Convert -12434512 (base 6) to base 7. -3323162 Convert 105042443 (base 6) to base 3. 10121110221100 -253644064 (base 7) to base 6 -1333201104 Convert -306746 (base 8) to base 13. -37497 What is -333254 (base 8) in base 9? -181037 -201212212101 (base 3) to base 12 -16a5a7 Convert -24443231 (base 5) to base 16. -392cf What is 1442 (base 7) in base 5? 4234 1406046 (base 7) to base 14 4c1cd -11121121021 (base 3) to base 4 -112023103 What is -351235425 (base 6) in base 13? -146a332 What is 1002040351 (base 6) in base 7? 152332414 Convert -1111010101001101001 (base 2) to base 15. -9dcbc 2220111112 (base 3) to base 10 57227 What is -4416534 (base 8) in base 10? -1187164 -11bc73 (base 14) to base 16 -94a6d Convert 3024540 (base 6) to base 13. 504b4 Convert 1136473 (base 8) to base 6. 10353523 Convert 111233130000 (base 4) to base 16. 56f700 Convert 1320121202 (base 4) to base 10. 493154 22216632 (base 9) to base 14 160098c 20200134 (base 5) to base 9 266864 What is 15424125 (base 7) in base 8? 5524712 Convert 1532d (base 16) to base 2. 10101001100101101 Convert -467001 (base 14) to base 11. -139a9a9 Convert -3144200 (base 5) to base 3. -2200202211 Convert 222003 (base 6) to base 16. 4893 3289981 (base 12) to base 3 200010200110121 34401150 (base 6) to base 10 1057818 11331023 (base 7) to base 6 33225452 Convert 16184023 (base 9) to base 12. 285b549 What is -50d64 (base 14) in base 11? -123325 What is -202026341 (base 7) in base 5? -11003200221 What is -87486 (base 16) in base 12? -228806 3026648 (base 12) to base 3 121221210101002 What is 120012021323 (base 4) in base 9? 12786748 What is 101617 (base 11) in base 10? 163126 What is -10101000110000010 (base 2) in base 12? -42002 Convert -11110010110010011100011 (base 2) to base 11. -454424a What is -83937 (base 10) in base 7? -466500 215013500 (base 6) to base 2 1110110001111100001100 Convert 27b4d (base 14) to base 10. 98265 -112011010110 (base 3) to base 12 -115263 -324a4 (base 14) to base 13 -434ba 75607 (base 8) to base 3 1121101020 What is 3879b96 (base 13) in base 9? 36225038 What is 32311132 (base 4) in base 11? 41722 -2230323011 (base 5) to base 2 -10010110100010100010001 -1431330131 (base 5) to base 10 -3776916 What is 1a995e (base 15) in base 10? 1298114 216625 (base 7) to base 14 ddbc Convert -12452313 (base 7) to base 2. -100010110000011100101 What is -111001111010110111 (base 2) in base 5? -30042424 What is -22335600 (base 7) in base 12? -797a29 27945a9 (base 13) to base 3 212120001111211 Convert 244345512 (base 6) to base 8. 21722524 -523 (base 13) to base 11 -725 Convert -2101020001 (base 3) to base 6. -1000431 What is -2247430 (base 9) in base 10? -1212678 What is 196cce (base 15) in base 16? 12e480 -17a5b4 (base 12) to base 13 -115777 Convert -15556144 (base 7) to base 11. -941508 -11110222002102 (base 3) to base 14 -45d9bd Convert 410034501 (base 6) to base 8. 32556305 32010210300 (base 4) to base 13 9c1cc2 Convert -34444333 (base 6) to base 3. -2000001010210 Convert 2d926 (base 16) to base 10. 186662 Convert 111203000 (base 4) to base 2. 10101100011000000 What is 95507 (base 10) in base 4? 113110103 Convert -639b3 (base 16) to base 10. -407987 What is -5245352 (base 7) in base 15? -c79e2 What is -2689427 (base 11) in base 12? -1678774 Convert -1146a9 (base 11) to base 15. -38d41 -1908a (base 11) to base 7 -140616 What is 3c561b (base 16) in base 14? 74d071 What is 11212122212000 (base 3) in base 9? 4778760 What is 28d520 (base 16) in base 3? 12000221210010 Convert 243204322 (base 6) to base 9. 8644615 What is -2220213013 (base 4) in base 12? -293807 -14502413 (base 8) to base 10 -3310859 73a46 (base 11) to base 14 2b39a -2220042 (base 5) to base 8 -113564 What is 6b5ca (base 14) in base 5? 31334323 Convert 12101202110 (base 3) to base 13. 39498 Convert -579c8 (base 14) to base 16. -340ec Convert -531915 (base 10) to base 4. -2001313023 What is -15162252 (base 8) in base 15? -487140 What is -46aa5e (base 15) in base 9? -6316748 Convert 6147a17 (base 11) to base 3. 202102201110200 What is -4b6477 (base 12) in base 10? -1234459 6431741 (base 8) to base 12 6a9915 What is -d2ca6 (base 14) in base 9? -853011 Convert 11ed0 (base 15) to base 3. 2220122220 Convert 1dd01 (base 14) to base 4. 102231131 320430314 (base 5) to base 3 2112012200100 1244363 (base 7) to base 8 475177 Convert 22313003 (base 4) to base 6. 541535 Convert 158172 (base 9) to base 4. 113320220 What is -27d71 (base 15) in base 11? -88109 2112210121011 (base 3) to base 16 14a9cd Convert -755522 (base 13) to base 3. -12011220101102 12033729 (base 10) to base 2 101101111001111011000001 Convert -1ea6cb (base 16) to base 11. -1152253 Convert -1996a (base 12) to base 2. -1001001100100010 -12112111020210 (base 3) to base 16 -2ce5db What is -10603163 (base 7) in base 3? -1202000120002 What is 333003240 (base 5) in base 13? 3bb801 What is 44a74aa (base 11) in base 4? 132011132323 What is 16a678 (base 12) in base 16? 5f93c -ac90 (base 14) to base 13 -10805 Convert 19a354 (base 15) to base 16. 1310e0 What is -1011000110011000010 (base 2) in base 16? -58cc2 -153203331 (base 7) to base 8 -47133103 What is -5553501 (base 6) in base 16? -443ad 2904a2 (base 12) to base 4 2213032322 What is 340167 (base 16) in base 11? 1a18722 What is -1242213030 (base 5) in base 9? -5722321 Convert 1222120010210 (base 3) to base 11. 660077 Convert -1011102201002 (base 3) to base 4. -2113003103 What is -10201023010 (base 4) in base 6? -41215324 Convert -103013333 (base 4) to base 5. -10001320 -65482 (base 13) to base 16 -2cb5d Convert -22a2801 (base 11) to base 7. -46062212 What is -9743 (base 14) in base 9? -38750 Convert 213524 (base 6) to base 3. 220021021 What is 1f7ba (base 16) in base 4? 133132322 Convert -111025303 (base 6) to base 7. -23041014 Convert -245103 (base 8) to base 16. -14a43 Convert -34938 (base 15) to base 12. -80aa5 -14032303 (base 6) to base 15 -94846 What is 110234512 (base 6) in base 12? 7b5a38 Convert 23b2e7 (base 15) to base 8. 6410601 Convert 32032111 (base 5) to base 13. 94b67 11110000110011010010111 (base 2) to base 7 124032421 -1010110101001110 (base 2) to base 14 -12250 15162311 (base 8) to base 5 1341411231 Convert 250021 (base 9) to base 12. 7340a 11003104 (base 8) to base 6 122334032 Convert -5a4a90 (base 11) to base 8. -3517532 Convert -26c96c (base 13) to base 7. -11002100 9b6b (base 15) to base 11 22836 Convert -8188348 (base 9) to base 5. -2104303214 Convert -11b680 (base 14) to base 6. -21005252 Convert 4211155 (base 6) to base 11. 12a0a6 Convert 125542320 (base 6) to base 9. 4656173 -10088 (base 14) to base 11 -26a53 210331241 (base 5) to base 9 1566478 Convert 11001232031 (base 4) to base 2. 101000001101110001101 What is -237260 (base 9) in base 12? -6a990 Convert 584b77 (base 13) to base 16. 1ffa52 Convert -1010001010101000111101 (base 2) to base 12. -a86311 Convert -101621d (base 14) to base 2. -11100111011110001000011 What is -1419b7 (base 16) in base 6? -44122343 What is -463a49 (base 11) in base 16? -b401a What is 35410 (base 12) in base 9? 117883 What is 485018 (base 11) in base 12? 310546 Convert 4328bb5 (base 12) to base 8. 60501271 What is 1883171 (base 9) in base 12? 430791 What is -ddc49 (base 14) in base 6? -15304225 Convert 117bbee (base 15) to base 16. bf68c7 11014552 (base 7) to base 3 1210000122011 What is 23819 (base 15) in base 9? 182246 Convert 22010210221122 (base 3) to base 2. 10000100000010010110010 26a3 (base 11) to base 3 11210200 What is -24ad58 (base 14) in base 16? -133772 What is 1082a2 (base 15) in base 5? 200140402 Convert -2049d6 (base 16) to base 3. -10222111200101 What is -516760 (base 8) in base 9? -281230 10022002010011 (base 3) to base 10 1753330 Convert -4a8bb (base 13) to base 7. -1112342 What is -44b45 (base 12) in base 5? -10411433 Convert -220524 (base 12) to base 4. -2003303230 -3021232033 (base 4) to base 8 -3115617 -10001424400 (base 5) to base 9 -20380030 27996 (base 12) to base 2 1101011011000010 12021220121 (base 3) to base 12 5035a -3d16bb (base 16) to base 5 -2011103030 Convert -32475660 (base 8) to base 15. -92ca70 Conv
{ "pile_set_name": "DM Mathematics" }
- 2159 = x, -1740 = -4*f - 5*x + 9*x. What is the hundreds digit of f? 4 Let g(r) = -r**3 + 2*r**2 + 17*r - 2. What is the units digit of g(5)? 8 Suppose 0 = -2*a + a - 5. Let h be (-3)/(-1) - (15 + a). What is the units digit of 4*(4 + h + 4)? 4 Let w be 2 + 0 + (-113 - -3). Let u be (-1536)/w - (-2)/(-9). What is the units digit of (-2)/2 + (u - 0)? 3 Let c = -36 - -247. What is the units digit of c? 1 What is the hundreds digit of (-2076)/3633 - 2/(-14)*22978? 2 Let l be 9/(-2)*(-14)/21. Suppose -l*g = -121 - 161. What is the units digit of g? 4 Let h = -1162 + 4082. What is the hundreds digit of h? 9 Let x be ((-237)/(-6) + -3)*-2. Let a = 131 + x. What is the tens digit of a? 5 Suppose u - 4*r = 3*u - 12, 0 = 4*u + r - 10. Suppose 3*i - 2 - 3 = -m, 0 = u*i - m. What is the units digit of (1 + i/1)*3? 6 What is the units digit of (9/(-6) - -2)/(8/1424)? 9 Let k be ((-16)/10)/((-6)/15). Suppose -82 = -3*i + p, k*p + 50 = 2*i + p. What is the tens digit of i? 2 What is the tens digit of ((-1*2)/(34/(-10897)))/1? 4 Let x = -11 - -21. Let h(j) = j**3 - 6*j**2 - j - 39. Let o be h(7). Suppose o + x = s. What is the units digit of s? 3 Suppose 0 = 12*k - 13*k + t + 2, 3*k - 5*t = 0. Suppose -14 = 4*p - 8*n + 3*n, p + 10 = -2*n. What is the units digit of (-3)/(p*k/650)? 5 Suppose 63 = z - 4*x, x - 159 = -3*z + 3*x. What is the units digit of z? 1 Suppose -5*k + 44 = 14. Suppose 0*y + 4*y = 0. Suppose -k*j + 234 = -y*j. What is the tens digit of j? 3 Let b = -1468 - -3614. What is the tens digit of b? 4 Let t = 2 - -3574. What is the tens digit of t? 7 What is the units digit of (16 - 7 - -172)*1? 1 Let w = 5 - 2. Let r(c) = -5*c - 21. Let z be r(-16). Suppose -h + 3*f + z = 0, 5*h + w*f - 233 = -10. What is the tens digit of h? 4 Let v(m) = -2*m**2 - 6*m + 3. Let j be v(-3). Let u be 1*(2 + 3 - j). Suppose -2*y - 70 = -b, 6*y - 20 = u*y. What is the units digit of b? 0 Suppose 3530 - 9566 = -12*i. What is the tens digit of i? 0 Let x be (-7)/28 - 2*(-366)/(-16). Let k = x + 63. What is the units digit of k? 7 Suppose -2*t - 1 = -5. Suppose -c - b = -2*b + 1, 3*b = t*c + 7. Suppose 3*y + 2*f + 4 - 23 = 0, -3*y = -c*f + 11. What is the units digit of y? 3 Let c be 6/3 - (2 - 608)/3. Suppose 74*n - 76*n + c = 0. What is the hundreds digit of n? 1 Let a be (-1 - -1)/(12/(36/(-6))). Suppose 10*s - 379 - 281 = a. What is the tens digit of s? 6 Let i(b) = -6*b**3 - 12*b**2 - 17*b - 4. What is the thousands digit of i(-9)? 3 Let m be -3 + (-53)/(-5 - -4). Suppose 5*d - 111 = -3*v, -m - 61 = -3*v + 2*d. Let u = -9 + v. What is the tens digit of u? 2 Let x(m) = -294*m - 6. Let p be x(-1). Suppose 0 = 4*l + 4*s - p, -3*l = -5*l + 3*s + 129. What is the tens digit of l? 6 Suppose -16*q = -17*q + 4. What is the units digit of 128/q + 0 - -2? 4 Let w = 32 + -33. What is the units digit of w/4 - 898/(-8)? 2 Suppose 5*f - 3*f - 5418 = -2*r, -4*f - 20 = 0. What is the tens digit of r? 1 Let b = 12 - 15. Let u be b - 13 - (0 + 2). What is the units digit of (u/(-30))/(2/110)? 3 Let u = -15 + 30. Let h(p) = -p + 8. Let q be h(2). Suppose -u = q*s - 57. What is the units digit of s? 7 Suppose -4*a + 9593 = -3*r, 10*r - 8*r = -3*a + 7216. What is the hundreds digit of a? 4 Let n = 6 - 9. Let u = 20 + n. What is the units digit of u? 7 Suppose -61*r + 58*r + 747 = 0. What is the hundreds digit of r? 2 Let y(g) = g**3 - 32*g**2 + 11*g - 47. Let m be y(32). Suppose 2*l - m = l + 5*q, 5*q + 885 = 3*l. What is the hundreds digit of l? 2 Let o(g) = -4*g - 10. Let n be o(-1). What is the hundreds digit of (3/6*-4)/(n/609)? 2 Let x(p) = 18*p**3 - 10*p**2 + 38*p + 21. What is the hundreds digit of x(6)? 7 Let z(b) = -9*b - 40. Let s(k) = 2*k + 10. Let u(h) = 26*s(h) + 6*z(h). What is the units digit of u(-12)? 4 Let t(y) = 174*y - 1110. What is the hundreds digit of t(17)? 8 Let b = 89 - 92. What is the tens digit of b + 22*(2 - 0)? 4 Let w(y) = -3*y + 143. Let l(f) = f + 1. Let k be l(-1). What is the tens digit of w(k)? 4 Let c be -2 - -9 - (-2 + -1). Let o(g) = g - 6. Let v be o(c). Suppose 0 = 8*h - v*h - 64. What is the tens digit of h? 1 What is the units digit of 10116/216 - 1/(-6)? 7 Let k = 108 + 3. Let a be (0 - (-2)/(-2))*3. What is the units digit of 2 - k/a - 3? 6 Suppose 20636 = 24*u - 6388. What is the thousands digit of u? 1 Let v(y) = y**3 + 16*y**2 - 29*y - 57. What is the tens digit of v(-15)? 0 Let a(n) = n + 6. Let i be a(-4). What is the units digit of i/(4/(640/4))? 0 Let o = 393 + -66. What is the tens digit of o? 2 Let l(z) = z + 18. Let n be l(-13). Let k = n - -1. Suppose 0 = -s - k + 21. What is the tens digit of s? 1 Suppose q - 2*q = 0. Let t(m) = -m**2 + 9*m**3 - 9*m**3 - 5*m - m**3 + 21 + 6*m. What is the units digit of t(q)? 1 Let w be ((-68)/7)/(6/(-21)). Suppose 6*d = 436 - w. What is the units digit of d? 7 Let j be 5/20 + 465/12. Let z = -16 + j. Suppose 378 = 5*k + z. What is the tens digit of k? 7 Suppose 0 = -24*u - 1916 + 10580. What is the tens digit of u? 6 What is the hundreds digit of 979/(-22)*-3*2? 2 Suppose 0 = -5*k - 1 + 36. What is the tens digit of 1179/k + 18/(-42)? 6 Let k(r) = 2*r + 1. Let d(u) = 9*u + 6. Let b(n) = -2*d(n) + 11*k(n). Let t be b(3). Suppose 2*q - 2*p + t = 71, 4*q = 2*p + 118. What is the tens digit of q? 2 Let x = 1066 - 364. What is the units digit of x? 2 Suppose -15*i = -9*i - 570. What is the units digit of i? 5 Suppose -123*a + 101*a + 37950 = 0. What is the hundreds digit of a? 7 Suppose 0 = 3*t + 37 - 31. What is the tens digit of t + (-4)/(-3) + (-418)/(-6)? 6 Let k(i) = 5*i**2 - 13*i - 74. What is the units digit of k(-17)? 2 Let d(j) = 3*j**2 + 73*j + 28. What is the units digit of d(-27)? 4 What is the hundreds digit of 261 - (-4 + 0 - 1)? 2 Suppose -9*v + 6*v = -270. Let j = v + 76. What is the units digit of j? 6 Let j(r) be the first derivative of r**3/3 - 6*r**2 + 3*r - 5. Let m be j(12). Suppose -m*o + 5 = -7. What is the units digit of o? 4 Suppose 0 = 5*l - 0*l. Suppose -3*d - 6 = l, -y + 2*d + 14 = 7*d. What is the tens digit of y? 2 Let i(n) = n**2 - 3*n - 6. Let o be i(-3). Let a be ((-1)/2)/((-2)/o). Suppose 30 = 4*p - p - a*f, -5*f = 2*p + 15. What is the units digit of p? 5 Suppose -g + 1 = 2*s + 3, g = s + 4. Let y = -28 + s. What is the units digit of (y/4)/((-1)/2)? 5 Let v(a) = -28*a**3 - 4*a**2 - 5*a - 5. Let d be v(-2). Let n = d - 149. What is the tens digit of n? 6 What is the units digit of 17/(-68) + (1 - 290/(-8))? 7 Suppose 29*g + 12536 = 57399. What is the hundreds digit of g? 5 Suppose -2*m + b + 4 = 0, 2 = 2*m - m + b. Suppose m*r - 2*o - 92 = 0, 0 = -r - 2*r + 5*o + 142. What is the units digit of r? 4 Let q(x) = x**2 + 3*x - 4. Let z be q(-4). Let b be (z + -1 - -1) + 4. What is the units digit of (323 - 3)/b + 3? 3 Let s = -2094 + 3120. What is the hundreds digit of s? 0 What is the units digit of (-4 + 145)*-22*(-3)/9? 4 Let b be (1 - 0)*(-364)/14. Let y = b - -29. What is the units digit of 87/y + -3 - 2? 4 Let f be 1 - 3 - 40/(-20). Suppose f = 5*l - 4*l. Suppose -5*c - 20 = l, 2*c - 5*c = i - 51. What is the tens digit of i? 6 Suppose 45 = 4*b + 5. Suppose 0 = b*f - 11*f + 3. Suppose -4*v + 5*j + 189 = 0, -2*v - 31 = f*j - 142. What is the units digit of v? 1 Suppose -2 = -2*t + 8. Suppose 0 = -0*h - t*h + 300. What is the tens digit of 2/12 - (-2150)/h? 3 Let z(f) = -8*f + 16. Let d be z(2). Suppose 20 = x - d*x. What is the units digit of x? 0 Suppose -2*c - 2*c = 16. What is the tens digit of c/1 - (-25 - 6)? 2 Let s = -173 - -81. What is the tens digit of (s/(-16))/(2/16)? 4 Suppose -4*a = 5*f + 36, a = f - 3*f - 12. Let n = f - -1. What is the tens digit of (-36)/n + (2 - 3)? 1 Let q = 11 + -11. Suppose -z + 3*n = -12, 9*n - 4*n + 20 = q. What is the units digit of -1 - (3 - (10 - z))? 6 Let f be -3 + 0 - 8/2. Let c(m) = -13*m + 15. What is the hundreds digit of c(f)? 1 Let q be (-1)/2*(-24)/2. Suppose 26 - 2 = 2*m - r, 0 = -m + r + 12. Suppose -s = -m - q. What is the tens digit of s? 1 Let a(v) = -2*v + 1. Let x be a(1). Let w(i) = 29*i**2 + i + 1. What is the units digit of w(x)? 9 Suppose d = 4*s - 2, 0*d = -2*d - 3*s - 4. Let o be 12/(3 - d - 3). Suppose -2*w + 60 = o. What is the tens digit of w? 2 What is the tens digit of (12/18)/(14/17724)
{ "pile_set_name": "DM Mathematics" }
347 for v. -6 Solve 0 = 507*q + 298*q - 1563 + 17663 for q. -20 Solve 98*i - 149*i - 1079 = 400 for i. -29 Solve 2*w + 9 = 12 - 9 for w. -3 Solve -15*k + 40*k - 187 = 238 for k. 17 Solve 37*h = 150 + 294 for h. 12 Solve 10*f + 10473 = 10443 for f. -3 Solve 27*x + x = -70*x - 1568 for x. -16 Solve 218 = 85*f - 377 for f. 7 Solve 30*a + 7*a = -74 for a. -2 Solve -284 = 37*h + 56*h + 460 for h. -8 Solve -10*p = 230*p - 4250 + 890 for p. 14 Solve 63*i + 1563 = 1752 for i. 3 Solve -49*x = 153 - 496 for x. 7 Solve 18*l = 67*l + 294 for l. -6 Solve -387*l - 5338 = 1145*l + 20706 for l. -17 Solve -117*k + 11*k - 1272 = 0 for k. -12 Solve -444 = 5*a - a - 448 for a. 1 Solve -5042*m = -5001*m + 779 for m. -19 Solve -72*j + 503 = 391*j - 423 for j. 2 Solve 0 = -13*o - 699 + 556 for o. -11 Solve -56*z - 637 + 21 = 0 for z. -11 Solve 3332 + 1738 = 507*f for f. 10 Solve 219*k - 1626 = -49*k - 3*k for k. 6 Solve -9*k + 618 = 528 for k. 10 Solve -1605*z + 2544 - 12092 = -241*z for z. -7 Solve 134*q + 15 + 1191 = 0 for q. -9 Solve 402*g = 408*g + 72 for g. -12 Solve 14*u + 11 - 11 = 14 for u. 1 Solve -696 = 123*q + 657 for q. -11 Solve 132*m = 72 + 880 + 368 for m. 10 Solve 39*o = -9218 + 9842 for o. 16 Solve -18*i - 77*i + 18*i = 1078 for i. -14 Solve 10*c = 2*c - 8 - 40 for c. -6 Solve 0 = -27*d + 44*d - 221 for d. 13 Solve 0 = 41*i - 146*i + 1995 for i. 19 Solve 39*u - 329 = -486 + 352 for u. 5 Solve 16*v - 72 - 14 = 74 for v. 10 Solve 0 = -50*z + 5*z - 12*z + 114 for z. 2 Solve -14*k + 120 = -22*k for k. -15 Solve 3 = 24*u - 25*u - 3 for u. -6 Solve -165*h + 295*h = 2210 for h. 17 Solve -91*w - 119*w + 1647 = -27*w for w. 9 Solve 7*x - 61 + 112 = -10*x for x. -3 Solve 256 = -266*u + 234*u for u. -8 Solve 74*t + 386 - 119 = -177 for t. -6 Solve 71*u = 788 - 78 for u. 10 Solve -36*s - 1488 = 88*s for s. -12 Solve -152*a + 517*a + 2419 = 959 for a. -4 Solve 484 = 162*c - 1298 for c. 11 Solve -114 = 3*q - 90 for q. -8 Solve -26449 = -146*z + 1310*z - 2005 for z. -21 Solve -3131 = -203*y + 102*y for y. 31 Solve -1550 = -56*p + 9*p - 328 for p. 26 Solve 19*y + 653 = 444 for y. -11 Solve 0 = -11*r - 9 + 19 - 87 for r. -7 Solve 141*n - 684*n - 188*n = -13889 for n. 19 Solve -386 + 3936 = -164*p - 58 for p. -22 Solve -534 = -48*s - 1110 for s. -12 Solve 0 = -2500*l + 2353*l + 2046 + 2952 for l. 34 Solve -5616*u = -5594*u - 440 for u. 20 Solve -18*y = -64*y + 598 for y. 13 Solve -115*u = 2511 - 556 for u. -17 Solve 1004*r = -261*r + 12650 for r. 10 Solve -8*m = -19*m - 6*m + 391 for m. 23 Solve -133 = -230*l + 249*l for l. -7 Solve -38*t + 113 = 133 + 170 for t. -5 Solve -105 = -112*q + 31*q + 60*q for q. 5 Solve 0 = -73*h - 208*h - 377 + 1501 for h. 4 Solve -369 = 19*c - 160 for c. -11 Solve 33683 = 16*c + 34003 for c. -20 Solve -3*p - 22 = -4*p - 10*p for p. 2 Solve 4009*n - 1976 = 4085*n for n. -26 Solve -572 = 52795*w - 52751*w for w. -13 Solve -55*z - 54*z - 900 = -9*z for z. -9 Solve -363 = -361*l + 328*l for l. 11 Solve -42*t + 798 - 166 = 37*t for t. 8 Solve -70 = -2231*d + 2245*d for d. -5 Solve -3916*d + 3978*d + 248 = 0 for d. -4 Solve 0 = 69*t + 3914 - 5225 for t. 19 Solve 102*a - 526 = -16 for a. 5 Solve 0 = -12*n - 3020 + 2852 for n. -14 Solve -80 = 128*a - 43*a - 590 for a. 6 Solve -6510 = 366*l - 56*l for l. -21 Solve 35*f - 391 = 519 for f. 26 Solve 340*g - 681*g + 2 = -343*g for g. -1 Solve -66*k + 56*k = 60 for k. -6 Solve -676 - 494 = -78*c for c. 15 Solve 12*r - 105 + 261 = 48 for r. -9 Solve 942*p = -158*p + 270*p - 7470 for p. -9 Solve 131*h - 4374 = 68*h - 99*h for h. 27 Solve -2368*m + 765 = -2413*m for m. -17 Solve 248 + 250 = -69*l - 261 for l. -11 Solve 12*x + 53808 = 53640 for x. -14 Solve 5*o = 8*o + 23*o + 78 for o. -3 Solve 0 = -112*x + 2143 + 209 for x. 21 Solve -5*h = 1279 - 1284 for h. 1 Solve -6332 = -52*f - 5292 for f. 20 Solve -1616*t = -1582*t + 510 for t. -15 Solve -42 = 35*c + 20*c - 372 for c. 6 Solve -132*t - 778*t - 178*t = 7616 for t. -7 Solve 0 = 108*g - 32*g + 102*g - 15*g for g. 0 Solve -25*p + 402 = 21*p - 104 for p. 11 Solve 0 = -24*i + 28*i + 4 for i. -1 Solve -249*y - 14007 = -858*y for y. 23 Solve 10*f + 7045 - 7005 = 0 for f. -4 Solve -108*n + 2990 = 182*n - 780 for n. 13 Solve -3*s + 146 = 98 for s. 16 Solve 2550*z - 2554*z = 84 for z. -21 Solve -1212 - 3606 = -812*o + 2490 for o. 9 Solve -54*i - 81*i + 468 = 21*i for i. 3 Solve -60*r + 594 + 389 = -157 for r. 19 Solve -81*k + 1237 = -421 - 367 for k. 25 Solve 316 - 310 = -i for i. -6 Solve 84*s - 71*s - 15 = -132 for s. -9 Solve -12945*s + 12900*s - 90 = 0 for s. -2 Solve -65 + 19 = 12*z + 2 for z. -4 Solve 73*g - 686 = 993 for g. 23 Solve -4*y - 50 - 85 = -63 for y. -18 Solve 392*g - 570*g = 3560 for g. -20 Solve -36*d + 94 = 148 + 126 for d. -5 Solve -2587*z + 242 = -2576*z for z. 22 Solve 0 = -139*j - 1674 - 133 for j. -13 Solve 22*h = 84*h + 969 - 225 for h. -12 Solve -148 = 45*v + 673 + 664 for v. -33 Solve 0 = 220*j - 216*j + 32 for j. -8 Solve -1611 + 471 = -168*r - 22*r for r. 6 Solve 288 + 356 = -46*f for f. -14 Solve -540 = 1618*s - 1588*s for s. -18 Solve 446*f = -735 - 2387 for f. -7 Solve -2048 = 308*n - 180*n for n. -16 Solve 58*c + 36637 = 37101 for c. 8 Solve -61*a = -500 + 2269 for a. -29 Solve -759*r = 520*r + 10232 for r. -8 Solve 273*v - 2382 = 1167 for v. 13 Solve 49*j + 78*j = -13*j + 1960 for j. 14 Solve -349*s + 120 = -369*s for s. -6 Solve 0 = -40*u + 2718 - 2278 for u. 11 Solve -4*r = -3*r - 395 + 379 for r. 16 Solve 1931 - 8799 = -404*c for c. 17 Solve -376408*k + 376517*k + 218 = 0 for k. -2 Solve 63*g + 72 = -67*g + 106*g for g. -3 Solve -14*i + 23*i = -16*i + 375 for i. 15 Solve 161*q + 3820 = -188*q - 1415 for q. -15 Solve 2*q = 5009 - 4981 for q. 14 Solve -56*m + 145*m + 820 = -960 for m. -20 Solve -135 = -273*o + 246*o for o. 5 Solve -14*u - 609 = 548 - 1045 for u. -8 Solve 39*h = 83*h - 36*h for h. 0 Solve -57*x + 195 = 30*x - 153 for x. 4 Solve -1377 = 23454*n - 23373*n for n. -17 Solve 0 = -44*o + 905 + 6 - 31 for o. 20 Solve 256 = -0*a + 20*a + 436 for a. -9 Solve -3*d + 10107 = 10128 for d. -7 Solve 81*r - 45*r - 52*r = 96 for r. -6 Solve 0 = 3832*q - 3347*q - 4850 for q. 10 Solve -22274*g - 594 = -22303*g - 14 for g. 20 Solve -191*u + 33*u = -45*u - 678 for u. 6 Solve 5733 = -758*i + 1031*i for i. 21 Solve 53*i - 176*i - 84*i - 5796 = 0 for i. -28 Solve -3*g + 2 = -5*g - 10 for g. -6 Solve -240 = 175*f - 145*f for f. -8 Solve -304*x + 275*x = -145 for x. 5 Solve -61*h - 1864 + 1437 = 0 for h. -7 Solve 2150 = -53*d + 93*d + 175*d for d. 10 Solve -205*i + 250 = -235*i + 10 for i. -8 Solve -510*q = 3283 - 9403 for q. 12 Solve -1130*z + 625*z + 7575 = 0 for z. 15 Solve -30*u + 776943 - 776871 = 6*u for u. 2 Solve -87*a - 2128 = -1432 for a. -8 Solve 0 = 169*m - 3326 - 54 for m. 20 Solve -264265*m - 490 = -264251*m for m. -35 Solve 101*d - 15*d = 12*d + 222 for d. 3 Solve -4 = 110*j - 128*j - 4 for j. 0 Solve 34*p - 565 = 341 + 114 for p. 30 Solve -33*n - 165*n + 7488 = 90*n for n. 26 Solve -25*t + t + 99 = -13*t for t. 9 Solve 26*b + 589 = 58 - 119 for b. -25 Solve -51*u + 218 = 58*u for u. 2 Solve 881 = 34*d + 145*d + 165 for d. 4 Solve -108*p = -32*p + 27*p - 2163 for p. 21 Solve 140 = 84*f + 1128 - 148 for f. -10 Solve 38*t + 5*t + 305 = -426 for t. -17 Solve -104 = -93*j + 67*j for j. 4 Solve -72*o + 13*o + 649 = 0 for o. 11 Solve -2*o + 11*o + 7*o = -304 for o. -19 Solve -6*r - 9412 = -9328 for r. -14 Solve 9842 = -683*u + 24868 for u. 22 Solve -2659 - 1357 = 251*w for w. -16 Solve 343 + 297 = -30*i + 70 for i. -19 Solve 306*h + 7497 = -119*h - 16*h for h. -17 Solve 219 = 148*m - 2297 for m. 17 Solve -8 - 41 - 31 = 10*t for t. -8 Solve -28471*v + 28325*v = -3212 for v. 22 Solve -1121*n = -426*n + 640*n - 20025 for n. 15 Solve -144*x + 1095 = 87 for x. 7 Solve -26 = -148*h + 141*h - 5 for h. 3 Solve -26*a = 6*a - 50 + 210 for a. -5 Solve 4*p - 1249 + 1257 = 0 for p. -2 Solve 135*w + 1068 - 533 = -1355 for w. -14 Solve 37*b - 134 = b + 82 for b. 6 Solve -25*z - 43*z = -43*z - 475 for z. 19 Solve -474 = -129*i - 1377 for i. -7 Solve -50*t = -15*t + 41*t - 988 for t. 13 Solve 439 = -127*t - 508 - 69 for t. -8 Solve -36*m - 217 = 45*m - 112*m for m. 7 Solve -211*r - 90*r - 45*r = 2422 for r. -7 Solve 2021 - 294 = 562*j -
{ "pile_set_name": "DM Mathematics" }
139 is divided by 40. 19 What is the remainder when 944 is divided by 19? 13 What is the remainder when 805 is divided by 48? 37 What is the remainder when 1631 is divided by 109? 105 What is the remainder when 597 is divided by 30? 27 What is the remainder when 22 is divided by 16? 6 What is the remainder when 744 is divided by 240? 24 Calculate the remainder when 38 is divided by 3. 2 Calculate the remainder when 1476 is divided by 489. 9 Calculate the remainder when 70 is divided by 39. 31 Calculate the remainder when 406 is divided by 59. 52 What is the remainder when 436 is divided by 20? 16 Calculate the remainder when 72 is divided by 54. 18 Calculate the remainder when 137 is divided by 30. 17 What is the remainder when 191 is divided by 160? 31 Calculate the remainder when 128 is divided by 32. 0 Calculate the remainder when 218 is divided by 73. 72 What is the remainder when 477 is divided by 24? 21 What is the remainder when 3139 is divided by 64? 3 What is the remainder when 12828 is divided by 10? 8 What is the remainder when 126 is divided by 22? 16 What is the remainder when 207 is divided by 145? 62 What is the remainder when 270 is divided by 9? 0 What is the remainder when 112 is divided by 33? 13 What is the remainder when 714 is divided by 65? 64 What is the remainder when 817 is divided by 103? 96 Calculate the remainder when 318 is divided by 5. 3 What is the remainder when 506 is divided by 257? 249 Calculate the remainder when 99 is divided by 51. 48 What is the remainder when 650 is divided by 38? 4 What is the remainder when 2868 is divided by 221? 216 What is the remainder when 5 is divided by 2? 1 What is the remainder when 15353 is divided by 22? 19 Calculate the remainder when 207 is divided by 5. 2 Calculate the remainder when 501 is divided by 24. 21 What is the remainder when 363 is divided by 61? 58 Calculate the remainder when 892 is divided by 286. 34 What is the remainder when 191 is divided by 48? 47 Calculate the remainder when 163 is divided by 12. 7 Calculate the remainder when 79 is divided by 14. 9 Calculate the remainder when 912 is divided by 61. 58 What is the remainder when 6817 is divided by 18? 13 Calculate the remainder when 2553 is divided by 4. 1 What is the remainder when 10520 is divided by 7? 6 What is the remainder when 472 is divided by 16? 8 Calculate the remainder when 103 is divided by 53. 50 Calculate the remainder when 634 is divided by 125. 9 Calculate the remainder when 143 is divided by 43. 14 What is the remainder when 279 is divided by 20? 19 What is the remainder when 375 is divided by 44? 23 What is the remainder when 71 is divided by 6? 5 Calculate the remainder when 1319 is divided by 261. 14 What is the remainder when 161 is divided by 9? 8 What is the remainder when 121 is divided by 51? 19 Calculate the remainder when 2068 is divided by 66. 22 What is the remainder when 4821 is divided by 12? 9 Calculate the remainder when 34 is divided by 19. 15 Calculate the remainder when 402 is divided by 28. 10 What is the remainder when 4254 is divided by 99? 96 Calculate the remainder when 374 is divided by 80. 54 What is the remainder when 304 is divided by 150? 4 Calculate the remainder when 3561 is divided by 25. 11 What is the remainder when 2225 is divided by 62? 55 What is the remainder when 579 is divided by 112? 19 Calculate the remainder when 1699 is divided by 10. 9 What is the remainder when 724 is divided by 66? 64 Calculate the remainder when 82 is divided by 28. 26 What is the remainder when 153 is divided by 20? 13 Calculate the remainder when 145 is divided by 141. 4 What is the remainder when 3918 is divided by 28? 26 What is the remainder when 108 is divided by 33? 9 What is the remainder when 2959 is divided by 114? 109 Calculate the remainder when 1085 is divided by 184. 165 What is the remainder when 167 is divided by 62? 43 What is the remainder when 580 is divided by 191? 7 Calculate the remainder when 699 is divided by 96. 27 Calculate the remainder when 124 is divided by 47. 30 Calculate the remainder when 1344 is divided by 444. 12 What is the remainder when 2679 is divided by 67? 66 What is the remainder when 202 is divided by 33? 4 What is the remainder when 840 is divided by 433? 407 What is the remainder when 891 is divided by 398? 95 What is the remainder when 2034 is divided by 70? 4 Calculate the remainder when 27559 is divided by 265. 264 Calculate the remainder when 131 is divided by 44. 43 Calculate the remainder when 5734 is divided by 443. 418 Calculate the remainder when 442 is divided by 148. 146 Calculate the remainder when 125 is divided by 21. 20 What is the remainder when 91 is divided by 31? 29 What is the remainder when 2204 is divided by 49? 48 What is the remainder when 4007 is divided by 19? 17 What is the remainder when 1762 is divided by 635? 492 Calculate the remainder when 270 is divided by 66. 6 Calculate the remainder when 221 is divided by 118. 103 What is the remainder when 385 is divided by 135? 115 Calculate the remainder when 738 is divided by 124. 118 Calculate the remainder when 9897 is divided by 110. 107 What is the remainder when 349 is divided by 11? 8 What is the remainder when 225 is divided by 76? 73 What is the remainder when 577 is divided by 130? 57 What is the remainder when 262 is divided by 22? 20 What is the remainder when 2659 is divided by 881? 16 Calculate the remainder when 448 is divided by 25. 23 What is the remainder when 830 is divided by 7? 4 What is the remainder when 75 is divided by 20? 15 What is the remainder when 380 is divided by 27? 2 Calculate the remainder when 738 is divided by 62. 56 Calculate the remainder when 185 is divided by 27. 23 What is the remainder when 234 is divided by 40? 34 What is the remainder when 156 is divided by 80? 76 What is the remainder when 120 is divided by 47? 26 Calculate the remainder when 19 is divided by 6. 1 Calculate the remainder when 1469 is divided by 208. 13 Calculate the remainder when 33882 is divided by 15. 12 Calculate the remainder when 35613 is divided by 12. 9 Calculate the remainder when 15781 is divided by 205. 201 What is the remainder when 228 is divided by 179? 49 Calculate the remainder when 10036 is divided by 528. 4 Calculate the remainder when 4378 is divided by 13. 10 What is the remainder when 370 is divided by 12? 10 What is the remainder when 1645 is divided by 61? 59 Calculate the remainder when 1705 is divided by 122. 119 What is the remainder when 1377 is divided by 26? 25 What is the remainder when 2197 is divided by 138? 127 Calculate the remainder when 2443 is divided by 799. 46 Calculate the remainder when 199 is divided by 10. 9 What is the remainder when 457 is divided by 12? 1 What is the remainder when 3003 is divided by 16? 11 What is the remainder when 8020 is divided by 107? 102 What is the remainder when 559 is divided by 10? 9 What is the remainder when 4365 is divided by 37? 36 What is the remainder when 4494 is divided by 36? 30 Calculate the remainder when 289 is divided by 75. 64 What is the remainder when 1185 is divided by 19? 7 What is the remainder when 56 is divided by 3? 2 Calculate the remainder when 5966 is divided by 24. 14 Calculate the remainder when 842 is divided by 14. 2 What is the remainder when 168 is divided by 39? 12 Calculate the remainder when 19 is divided by 7. 5 Calculate the remainder when 1023 is divided by 99. 33 Calculate the remainder when 12357 is divided by 120. 117 What is the remainder when 333 is divided by 47? 4 What is the remainder when 4834 is divided by 41? 37 What is the remainder when 5660 is divided by 81? 71 What is the remainder when 865 is divided by 17? 15 Calculate the remainder when 1057 is divided by 105. 7 Calculate the remainder when 574 is divided by 492. 82 What is the remainder when 7696 is divided by 21? 10 What is the remainder when 2040 is divided by 504? 24 Calculate the remainder when 489 is divided by 79. 15 What is the remainder when 681 is divided by 38? 35 What is the remainder when 118 is divided by 47? 24 Calculate the remainder when 206 is divided by 188. 18 What is the remainder when 1133 is divided by 81? 80 Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {g: 4, p: 9, a: 2, t: 1, f: 3}. What is prob of picking 2 p, 1 f, and 1 g? 36/323 Three letters picked without replacement from {l: 4, j: 5, h: 4, p: 2, q: 2}. What is prob of picking 1 h, 1 l, and 1 j? 2/17 Three letters picked without replacement from nnnjnnndjjnmds. What is prob of picking 1 m and 2 j? 3/364 Calculate prob of picking 1 m and 3 a when four letters picked without replacement from acmcamfacmfmamcafam. 10/323 Three letters picked without replacement from uuuncmumnjjunkm. Give prob of picking 1 m, 1 k, and 1 c. 3/455 Two letters picked without replacement from {j: 3, h: 7}. Give prob of picking 2 h. 7/15 Calculate prob of picking 1 t, 1 r, and 1 l when three letters picked without replacement from trlmmgmgggmlttlmgtl. 16/969 What is prob of picking 2 b and 1 t when three letters picked without replacement from {b: 2, e: 2, t: 5, i: 9}? 5/816 Two letters picked without replacement from cwmbbmck. Give prob of picking 1 b and 1 w. 1/14 Two letters picked without replacement from {q: 1, f: 1, m: 1, o: 1, k: 1, v: 2}. Give prob of picking 1 o and 1 m. 1/21 Four letters picked without replacement from lllllllllxllllxxxxll. Give prob of picking 1 x and 3 l. 455/969 What is prob of picking 1 q, 1 i, and 1 f when three letters picked without replacement from {q: 1, v: 1, f: 1, t: 1, i: 1}? 1/10 What is prob of picking 3 z and 1 f when four letters picked without replacement from {f: 4, z: 6, k: 4}? 80/1001 Three letters picked without replacement from uumsmmhmtstumm. Give prob of picking 1 s and 2 t. 1/182 Two letters picked without replacement from {v: 3, z: 4, x: 4}. Give prob of picking 1 v and 1 x. 12/55 Two letters picked without replacement from xmdmxgik. What is prob of picking 1 m and 1 i? 1/14 Three letters picked without replacement from {e: 7, a: 5, m: 5, b: 2}. What is prob of picking 1 a, 1 e, and 1 b? 70/969 Four letters picked without replacement from jijjvvijvjjvjj. Give prob of picking 2 i and 2 j. 4/143 Four letters picked without replacement from fffifdbdffkikfpppdpf. What is prob of picking 1 k, 1 d, 1 p, and 1 f? 64/1615 What is prob of picking 3 m when three letters picked without replacement from {b: 7, m: 4}? 4/165 Calculate prob of picking 2 x when two letters picked without replacement from {q: 1, a: 5, x: 4}. 2/15 Three letters picked without replacement from ettttteeeeteetetetee. What is prob of picking 1 e and 2 t? 33/95 What is prob of picking 1 s and 2 o when three letters picked without replacement from {o: 2, x: 1, w: 2, s: 1}? 1/20 Two letters picked without replacement from ssssssssss. What is prob of picking 2 s? 1 Four letters picked without replacement from {q: 2, p: 1, f: 6, w: 4}. Give prob of picking 1 w, 2 p, and 1 q. 0 Three letters picked without replacement from {x: 3, j: 1}. What is prob of picking 3 x? 1/4 What is prob of picking 2 e when two letters picked without replacement from {t: 4, u: 1, h: 2, e: 2, r: 3}? 1/66 Calculate prob of picking 1 o and 1 i when two letters picked without replacement from oihhi. 1/5 What is prob of picking 2 n when two letters picked without replacement from wwwwwwwwwwwwwnwnww? 1/153 Two letters picked without replacement from vbvbbbbbvv. What is prob of picking 1 b and 1 v? 8/15 Calculate prob of picking 1 q, 1 i, and 1 y when three letters picked without replacement from qilyqiqsqy. 2/15 What is prob of picking 3 l and 1 i when four letters picked without replacement from ciiililiccicilcccc? 7/3060 Three letters picked without replacement from {l: 1, o: 9, r: 3, e: 1}. Give prob of picking 3 o. 3/13 Calculate prob of picking 1 o and 2 p when three letters picked without replacement from oooppooopooo. 27/220 What is prob of picking 1 q and 2 d when three letters picked without replacement from {q: 12, d: 7}? 84/323 Four letters picked without replacement from xxooooooxxxoo. Give prob of picking 2 o and 2 x. 56/143 Calculate prob of picking 2 s when two letters picked without replacement from {e: 2, q: 1, s: 2, o: 8, l: 6, b: 1}. 1/190 Three letters picked without replacement from {i: 1, y: 1, g: 2, s: 1, u: 1, o: 1}. What is prob of picking 1 i, 1 g, and 1 o? 2/35 What is prob of picking 1 t, 1 q, and 2 g when four letters picked without replacement from tegeettqegqt? 8/495 Four letters picked without replacement from {r: 1, q: 2, d: 2}. Give prob of picking 1 d, 2 q, and 1 r. 2/5 Three letters picked without replacement from {o: 4}. What is prob of picking 3 o? 1 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {o: 4, v: 3, m: 6, c: 1, i: 4, x: 2}. 6/95 Two letters picked without replacement from {z: 6, g: 7, x: 1}. What is prob of picking 2 z? 15/91 Two letters picked without replacement from zzttztztzrzzazz. What is prob of picking 1 a and 1 r? 1/105 What is prob of picking 1 w, 2 j, and 1 r when four letters picked without replacement from {r: 1, j: 3, y: 3, w: 1, k: 3, m: 7}? 1/1020 Three letters picked without replacement from cjccjccc. Give prob of picking 2 j and 1 c. 3/28 What is prob of picking 1 u and 1 j when two letters picked without replacement from {x: 2, u: 6, z: 1, j: 2, m: 1}? 2/11 What is prob of picking 2 c, 1 q, and 1 w when four letters picked without replacement from {w: 7, c: 9, q: 3}? 63/323 Three letters picked without replacement from jwwwjjjwwwwwwjwjjww. What is prob of picking 1 w and 2 j? 84/323 Two letters picked without replacement from ttkkttttbtbbkttbbtk. What is prob of picking 1 b and 1 t? 50/171 Two letters picked without replacement from ddhhhddhhdhddhddhh. Give prob of picking 2 h. 4/17 Calculate prob of picking 2 j and 1 a when three letters picked without replacement from jhvcchcajc. 1/120 Four letters picked without replacement from ytyywyyyyytw. What is prob of picking 2 y and 2 t? 28/495 Two letters picked without replacement from iiimixqnxiummuu. Give prob of picking 1 i and 1 u. 1/7 What is prob of picking 3 p and 1 s when four letters picked without replacement from ppvpssvpps? 1/7 Calculate prob of picking 3 v and 1 y when four letters picked without replacement from yvyvyevv. 6/35 What is prob of picking 2 m when two letters picked without replacement from {n: 4, l: 5, m: 2, h: 2}? 1/78 What is prob of picking 1 v and 1 p when two letters picked without replacement from vvppvpppvpvv? 6/11 Two letters picked without replacement from {r: 1, b: 2, y: 7, n: 1, x: 3}. What is prob of picking 2 b? 1/91 What is prob of picking 3 a and 1 g when four letters picked without replacement from {e: 4, g: 9, k: 2, a: 3}? 1/340 Calculate prob of picking 1 k, 1 o, and 1 d when three letters picked without replacement from {g: 1, d: 1, p: 1, z: 1, k: 1, o: 2}. 2/35 What is prob of picking 2 w when two letters picked without replacement from {u: 5, f: 1, w: 5}? 2/11 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from bbcjcbt. 1/7 Four letters picked without replacement from {n: 10, t: 4, v: 3, u: 2}. What is prob of picking 2 n, 1 t, and 1 v? 45/323 What is prob of picking 2 c when two letters picked without replacement from vvclclllvl? 1/45 What is prob of picking 1 m and 3 b when four letters picked without replacement from mmrmbmrbmb? 1/42 What is prob of picking 1 q and 1 e when two letters picked without replacement from qeqqqqeqeqee? 35/66 Three letters picked without replacement from yytyttyyytttyttt. Give prob of picking 1 t and 2 y. 27/80 What is prob of picking 1 m and 1 p when two letters picked without replacement from {k: 3, p: 2, m: 3, j: 4, v: 1, r: 2}? 2/35 Four letters picked without replacement from uuuudduddduuu. Give prob of picking 1 u and 3 d. 16/143 Calculate prob of picking 1 r and 1 c when two letters picked without replacement from qqqqrrqqcq. 2/45 Two letters picked without replacement from {i: 3, z: 12, c: 1}. What is prob of picking 1 i and 1 c? 1/40 What is prob of picking 3 t and 1 q when four letters picked without replacement from fotqd? 0 Three letters picked without replacement from ofyztqyo. What is prob of picking 1 t, 1 y, and 1 o? 1/14 Four letters picked without replacement from {j: 6, e: 7}. Give prob of picking 4 e. 7/143 What is prob of picking 1 v, 2 q, and 1 u when fou
{ "pile_set_name": "DM Mathematics" }
8, 1666, 1664? 1662 What comes next: -4, -13, -34, -73, -136, -229? -358 What comes next: -138, -278, -418, -558, -698, -838? -978 What is next in 98, 234, 382, 548, 738, 958, 1214, 1512? 1858 What comes next: 55, 28, -1, -32, -65? -100 What is next in -474, -965, -1468, -1989, -2534, -3109, -3720, -4373? -5074 What comes next: 103, 121, 151, 193, 247? 313 What is next in 188, 377, 566, 755, 944? 1133 What comes next: 2431, 9753, 21963, 39067, 61071, 87981, 119803, 156543? 198207 What is the next term in -6, 6, 18? 30 What is the next term in 1, 41, 143, 337, 653, 1121, 1771? 2633 What is next in -791, -797, -807, -821, -839, -861, -887? -917 What comes next: 3799, 3809, 3833, 3877, 3947, 4049, 4189, 4373? 4607 What comes next: -10, -70, -170, -310, -490? -710 What is next in -6, 17, 76, 177, 326, 529? 792 What comes next: 6533, 6532, 6531, 6530, 6529, 6528? 6527 What is the next term in 174, 675, 1494, 2619, 4038? 5739 What is the next term in -12, -13, -14, -15, -16? -17 What is next in -53, -132, -249, -422, -669? -1008 What is next in -310, -619, -928, -1237, -1546, -1855? -2164 What comes next: 932, 922, 898, 854, 784, 682? 542 What comes next: -44, -57, -70, -83, -96, -109? -122 What comes next: 36, 141, 316, 561, 876? 1261 What comes next: -123, -125, -127, -129, -131, -133? -135 What is next in 909, 895, 871, 837, 793, 739? 675 What is next in -1952, -1954, -1956, -1958, -1960? -1962 What comes next: 1674, 1676, 1678? 1680 What comes next: 19, -77, -391, -1031, -2105, -3721? -5987 What is the next term in 0, -25, -60, -111, -184, -285, -420, -595? -816 What is the next term in 20, 25, 30, 35, 40, 45? 50 What is the next term in -70, -181, -484, -1075, -2050, -3505, -5536? -8239 What is the next term in 86, 169, 238, 287, 310, 301, 254, 163? 22 What comes next: 6, 25, 44? 63 What is the next term in 9, 4, -1, 0, 13, 44, 99? 184 What is next in -116, -117, -118, -119? -120 What comes next: -28, -55, -82, -109, -136? -163 What comes next: 4576, 9159, 13742, 18325, 22908, 27491? 32074 What is next in 7649, 7646, 7641, 7634? 7625 What is the next term in 1877, 1880, 1893, 1922, 1973, 2052, 2165, 2318? 2517 What comes next: 122, 123, 124, 125? 126 What is next in -15, -18, -11, 12, 57, 130, 237, 384? 577 What is next in 378, 760, 1142, 1524? 1906 What comes next: 89, 146, 215, 296, 389? 494 What is next in -395, -399, -403, -407, -411, -415? -419 What is the next term in -29, -43, -83, -161, -289, -479? -743 What is next in 1018, 1015, 1012, 1009? 1006 What comes next: -83, -165, -249, -335, -423, -513? -605 What comes next: -9, -23, -25, -3, 55, 161, 327? 565 What comes next: -2667, -5333, -7999, -10665, -13331? -15997 What comes next: 38, 64, 116, 200, 322, 488, 704? 976 What is next in 452, 450, 448, 446, 444, 442? 440 What is next in -44, -164, -370, -668, -1064, -1564, -2174? -2900 What is next in -1359, -1367, -1375, -1383, -1391? -1399 What is the next term in 125, 249, 373? 497 What is the next term in 745, 1500, 2255? 3010 What is the next term in -185, -175, -151, -107, -37? 65 What is next in 556, 1112, 1668? 2224 What comes next: -318, -313, -308, -303? -298 What is the next term in -19, -78, -139, -202, -267, -334, -403? -474 What comes next: -48, -92, -112, -96, -32, 92, 288? 568 What is next in 200, 212, 224, 242, 272? 320 What is next in -74, -71, -68? -65 What is the next term in 202, 398, 596, 796, 998, 1202, 1408? 1616 What comes next: -99, -105, -113, -123, -135, -149? -165 What is next in -169, -175, -181? -187 What is the next term in -7214, -7215, -7216, -7217, -7218? -7219 What comes next: 24, 116, 270, 486, 764, 1104? 1506 What is next in 464, 467, 482, 515, 572, 659, 782? 947 What is the next term in 4, 26, 84, 196, 380, 654, 1036, 1544? 2196 What is next in -185, -359, -531, -701? -869 What is the next term in -14, -6, -2, -2, -6, -14, -26? -42 What comes next: 18, 35, 52? 69 What is the next term in 45, 62, 77, 90, 101, 110, 117? 122 What is the next term in -389, -781, -1171, -1559, -1945? -2329 What is the next term in -3353, -3348, -3339, -3326, -3309? -3288 What comes next: 1074, 2149, 3224, 4299, 5374? 6449 What is the next term in -166, -671, -1512, -2689, -4202? -6051 What is the next term in 18, 33, 30, 3, -54? -147 What comes next: 4129, 4161, 4183, 4189, 4173, 4129? 4051 What is next in 23, -1, -35, -85, -157, -257? -391 What is next in 27, 87, 183, 309, 459? 627 What is the next term in 52, 35, 22, 19, 32, 67, 130, 227? 364 What is next in 223, 217, 205, 187, 163, 133? 97 What comes next: -6, -14, -22, -30, -38, -46? -54 What comes next: 9, 26, 55, 96, 149, 214? 291 What comes next: -203, -184, -159, -134, -115? -108 What comes next: 27, 68, 131, 210, 299, 392, 483, 566? 635 What is next in 1059, 1028, 997, 966? 935 What comes next: -456, -724, -992, -1260? -1528 What is the next term in -21, -42, -73, -120, -189? -286 What comes next: -4, -53, -148, -301, -524, -829? -1228 What is next in -4, -1, 2, 5? 8 What is the next term in -52, -125, -196, -265? -332 What comes next: -222, -214, -192, -150, -82? 18 What is next in -543, -1088, -1633, -2178, -2723? -3268 What is next in -15, -30, -53, -84, -123, -170, -225? -288 What is the next term in -15, -13, -7, 3, 17, 35, 57? 83 What is the next term in 16, 10, 4, -2, -8? -14 What is next in 23, 14, 1, -16, -37, -62, -91? -124 What is next in -19, -37, -57, -79? -103 What is next in -35, -87, -165, -281, -447, -675, -977, -1365? -1851 What is next in -19, -47, -111, -229, -419, -699, -1087, -1601? -2259 What comes next: -78, -156, -232, -306, -378? -448 What is the next term in 275, 278, 283, 290, 299, 310, 323? 338 What is the next term in -430, -1709, -3834, -6799, -10598? -15225 What is next in -253, -471, -689, -907? -1125 What is the next term in 67, 51, 35, 19, 3? -13 What comes next: -18, -58, -130, -240, -394, -598, -858? -1180 What is the next term in 17, 22, 39, 74, 133, 222, 347? 514 What comes next: 30, 22, 2, -36, -98, -190? -318 What comes next: 37, 51, 89, 163, 285, 467? 721 What comes next: -29, -116, -261, -464? -725 What comes next: 3956, 7913, 11870, 15827, 19784? 23741 What is next in 120, 114, 94, 54, -12? -110 What is next in 196, 192, 188? 184 What is the next term in -349, -355, -371, -403, -457, -539, -655? -811 What comes next: -25, -32, -41, -52? -65 What is next in -14, -11, -16, -35, -74, -139? -236 What is next in 25, 44, 75, 124, 197, 300, 439, 620? 849 What is next in -671, -670, -669? -668 What is next in -25, -14, -1, 14, 31, 50? 71 What comes next: 4045, 4046, 4047, 4048, 4049, 4050? 4051 What is the next term in 76, 96, 116, 136? 156 What is next in 84, 117, 150, 183, 216, 249? 282 What is next in 0, -2, 18, 78, 196, 390, 678? 1078 What is next in 67, 64, 61, 58, 55, 52? 49 What is the next term in 1549, 1551, 1553, 1555, 1557? 1559 What comes next: -13, -21, -27, -31? -33 What is the next term in -51, -31, -7, 15, 29, 29, 9, -37? -115 What is next in 1516, 1508, 1486, 1444, 1376? 1276 What is the next term in 152, 325, 506, 701, 916, 1157, 1430? 1741 What is next in -1, 10, 21, 32? 43 What is next in -13, -31, -45, -55, -61? -63 What is next in -9, -4, 1, 6? 11 What is next in -56, -68, -88, -116, -152, -196? -248 What is the next term in -18, -24, -44, -84, -150, -248? -384 What is next in 60, 116, 166, 210, 248, 280, 306? 326 What comes next: 23, -18, -181, -526, -1113, -2002, -3253, -4926? -7081 What comes next: 8, -53, -190, -439, -836, -1417? -2218 What comes next: -25, -27, -29, -31, -33? -35 What comes next: 23, 27, 55, 125, 255, 463, 767? 1185 What is the next term in 52, 51, 50, 49, 48? 47 What comes next: -91011, -91009, -91005, -90999? -90991 What is the next term in -132, -130, -126, -120, -112, -102? -90 What comes next: -8318, -16632, -24946? -33260 What is the next term in -603, -1217, -1831, -2445, -3059, -3673? -4287 What is the next term in 28, 22, 14, 4? -8 What is next in -32, -25, -4, 37, 104, 203? 340 What is next in 180, 161, 124, 63, -28, -155, -324? -541 What is next in -33, -67, -101, -135, -169, -203? -237 What is next in 314, 334, 328, 284, 190? 34 What is next in -5, 48, 217, 568, 1167, 2080, 3373, 5112? 7363 What is the next term in 18, 19, 12, -3, -26? -57 What is the next term in 307,
{ "pile_set_name": "DM Mathematics" }
- 18*z**2 - 30*z - 22*z**5 = 0 for z. -2, -1/3, 0, 1/2, 3 Suppose 14*p**2 + 18 - 12 - 20 + 16*p - 18 + 2*p**3 = 0. What is p? -4, 1 Let a(b) be the first derivative of 9*b**5/55 + b**4/22 - 3*b**3/11 - b**2/11 - 27. Solve a(s) = 0. -1, -2/9, 0, 1 Let i(n) = 7*n**5 - 3*n**3 - 9*n**2 + 11*n + 9. Suppose -2 + 18 = 4*s. Let f(q) = 3*q**5 - 2*q**3 - 4*q**2 + 5*q + 4. Let p(t) = s*i(t) - 10*f(t). Factor p(m). -2*(m - 2)*(m - 1)*(m + 1)**3 Let h(u) = -u**2 + 8*u - 6. Let r be h(7). Factor 8*a**3 - 6*a**2 + r + a**3 - 1. 3*a**2*(3*a - 2) Let k(d) be the third derivative of -1/192*d**4 + 1/480*d**5 + 0 + 0*d + 4*d**2 - 1/24*d**3. Factor k(m). (m - 2)*(m + 1)/8 Let g(u) = 3*u**2 + 2*u + 1. Let v be g(-1). Find n such that -27/2*n**3 + 3*n**v - 3 + 27/2*n = 0. -1, 2/9, 1 Let d(n) = -n**2 - n. Let u(h) = -20*h**2 - 26*h - 6. Let p(z) = -36*d(z) + 2*u(z). Determine f so that p(f) = 0. -3, -1 Let q(z) be the first derivative of -2*z**5/5 + 10*z**3/3 - 8*z + 4. Find n, given that q(n) = 0. -2, -1, 1, 2 Let y(b) be the third derivative of 3*b**8/448 + b**7/140 - 9*b**6/160 - 3*b**5/20 - b**4/8 + 7*b**2. What is q in y(q) = 0? -1, -2/3, 0, 2 Let t be (-14)/(-30)*(-32 + 5). Let f = t - -13. What is c in -12/5*c**2 - f*c**3 - 16/5 - 24/5*c = 0? -2 Factor 2/9*t**5 + 0*t + 2/3*t**4 + 2/3*t**3 + 0 + 2/9*t**2. 2*t**2*(t + 1)**3/9 Let b(j) be the first derivative of 2*j**3/15 - 7*j**2/5 - 16*j/5 - 11. Factor b(t). 2*(t - 8)*(t + 1)/5 Let r(d) be the first derivative of -10*d**3/21 - 12*d**2/7 - 8*d/7 - 1. Factor r(c). -2*(c + 2)*(5*c + 2)/7 What is r in 0 + 0*r - 2*r**5 + 0*r**2 - 1/2*r**3 + 2*r**4 = 0? 0, 1/2 Let p(j) be the second derivative of 4*j**6/255 - j**5/10 + 10*j**4/51 - 4*j**3/51 - 4*j. Factor p(y). 2*y*(y - 2)**2*(4*y - 1)/17 Factor -2/5*s**3 - 2*s - 8/5*s**2 - 4/5. -2*(s + 1)**2*(s + 2)/5 Let s(j) be the third derivative of j**7/180 + j**6/1080 - j**5/90 + j**4/12 + 4*j**2. Let h(n) be the second derivative of s(n). Factor h(v). 2*(3*v + 1)*(7*v - 2)/3 Suppose d - 8*b - 18 = -3*b, -3 = -5*d - 4*b. Solve 1/5*k + 1/5 - 1/5*k**2 - 1/5*k**d = 0. -1, 1 Let 0*b**2 - 1/4*b + 1/4*b**3 + 0 = 0. What is b? -1, 0, 1 Let i(u) be the third derivative of u**5/24 - u**4/6 + u**3/4 + 8*u**2. Let i(b) = 0. What is b? 3/5, 1 Let o(b) be the first derivative of -2/55*b**5 + 0*b**3 - 2/11*b**2 + 2/11*b + 1/11*b**4 + 1. Suppose o(u) = 0. What is u? -1, 1 Determine q so that -1 - 4*q**4 + 3/2*q + 0*q**3 - 3/2*q**5 + 5*q**2 = 0. -2, -1, 1/3, 1 Let o(n) = 7*n**4 + 9*n**3 + 5*n**2 - 9*n - 2. Let d(z) = 4*z**4 + 5*z**3 + 3*z**2 - 5*z - 1. Let v(t) = 5*d(t) - 3*o(t). Determine m so that v(m) = 0. -1, 1 Let 0 + 32*a**2 - 128/3*a + 2/3*a**4 - 8*a**3 = 0. What is a? 0, 4 Let o = 142 - 140. Let w(h) be the first derivative of 0*h + 0*h**3 + 1/5*h**5 + 1/2*h**4 + 3 + 0*h**o. Determine l, given that w(l) = 0. -2, 0 Let p be 3/(-4 + 3 - -2). Factor -2*c**5 + 4*c**2 - 8*c**4 + 2*c**p - 3*c**3 - 5*c**3 + 4 - 2*c**3 + 10*c. -2*(c - 1)*(c + 1)**3*(c + 2) Let d(y) be the second derivative of 5*y**4/12 - 25*y**3/6 + 15*y**2 - 21*y. Factor d(x). 5*(x - 3)*(x - 2) Let o = 557/4290 + 1/286. Let a(n) be the second derivative of -1/5*n**2 + 1/75*n**6 + 0 - o*n**3 + n + 1/25*n**5 + 0*n**4. Factor a(j). 2*(j - 1)*(j + 1)**3/5 Let g(s) = 4*s**2 - 49*s + 49. Let n(c) = c**2 - 10*c + 10. Let l(b) = 2*g(b) - 11*n(b). Let l(o) = 0. What is o? 2 Let s(z) = z + 3 - 3*z + z - 2*z**2. Let a(d) = d**2 - 2. Let t be (-3)/(1*3/(-2)). Let v(q) = t*s(q) + 3*a(q). Determine j, given that v(j) = 0. -2, 0 Let y be ((-1)/1 + 3)/((-72)/(-27)). Suppose u + 0 = -2*g - 3, 4*u = 2*g + 18. Factor 0*n**2 + 0 - 3/4*n**4 + 0*n**u + 0*n + y*n**5. 3*n**4*(n - 1)/4 Let k(p) be the second derivative of -p**6/45 - p**5/5 - 13*p**4/18 - 4*p**3/3 - 4*p**2/3 - 11*p. Factor k(v). -2*(v + 1)**2*(v + 2)**2/3 Let l(z) = 2*z**3 + z - 1. Let p be l(1). Factor 0*i**3 - i**4 + i**2 - 2*i**3 + p*i**3. -i**2*(i - 1)*(i + 1) Let a be (-8)/(-32)*(6 + -6). Suppose 0 - 16/3*z**4 + a*z - 32/9*z**5 - 2*z**3 - 2/9*z**2 = 0. What is z? -1, -1/4, 0 Factor -14/9*j**3 + 16/9*j**4 + 0 + 0*j + 4/9*j**2 - 2/3*j**5. -2*j**2*(j - 1)**2*(3*j - 2)/9 Let f(j) = -j**3 - j**2 - 6*j + 4. Let q be f(-5). Let b = q + -936/7. Factor -2/7*c**3 + b*c**2 + 0 + 0*c. -2*c**2*(c - 1)/7 Let s(n) be the third derivative of -n**6/30 - 10*n**2. Find x such that s(x) = 0. 0 Let x(k) be the second derivative of 8*k**6/75 - 37*k**5/25 + 39*k**4/5 - 18*k**3 + 54*k**2/5 + 10*k. Determine h, given that x(h) = 0. 1/4, 3 Let i(z) be the second derivative of -z + 11/12*z**4 + 0 - 3/10*z**5 + 2/3*z**3 - 3/10*z**6 - 2*z**2. Determine c, given that i(c) = 0. -1, 2/3 Let h(w) = w + 3. Let r be h(0). Factor -2 - 1 - 4*a - r*a**2 - 2*a. -3*(a + 1)**2 Let v(j) be the second derivative of j**7/336 + j**6/60 - j**5/160 - j**4/24 + 5*j. Suppose v(t) = 0. Calculate t. -4, -1, 0, 1 Let c(u) = -u + 6. Let h be c(2). Let g(m) be the third derivative of 1/420*m**6 + 0*m**3 + 0 + 0*m + m**2 - 1/105*m**5 + 1/84*m**h. Let g(n) = 0. What is n? 0, 1 Suppose n + 2*n - 15 = 0. Suppose -5 - n = -5*z. Let 1/2 + z*p**3 + 3*p + 9/2*p**2 = 0. Calculate p. -1, -1/4 Let g(h) be the third derivative of h**6/480 + h**5/240 + 9*h**2. Factor g(v). v**2*(v + 1)/4 Let m(h) be the second derivative of -h**6/180 - h**5/60 - h**3/6 - 3*h. Let o(y) be the second derivative of m(y). Factor o(c). -2*c*(c + 1) Factor 2*t**3 + 1/3*t**5 - 4/3*t**2 + 0 - 4/3*t**4 + 1/3*t. t*(t - 1)**4/3 Suppose 0 = -i + 5*l - 0*l + 23, 5*l - 5 = 0. Let b be 15/i - 16/56. Find u such that 0*u + 0 + 1/2*u**3 + 1/4*u**2 + b*u**4 = 0. -1, 0 Let l(p) be the first derivative of -1/3*p**3 - 2*p**2 - 3*p + 3. Determine k, given that l(k) = 0. -3, -1 Let l(r) be the second derivative of r**9/4536 - r**7/1260 - r**3/3 + 2*r. Let q(s) be the second derivative of l(s). Find v such that q(v) = 0. -1, 0, 1 Let o(z) be the third derivative of z**7/70 - z**6/10 + z**5/4 - z**4/4 - 2*z**2 - 6*z. Factor o(c). 3*c*(c - 2)*(c - 1)**2 Let a(l) = 4*l**4 - 20*l**3 - 36*l**2 - 4*l - 8. Let g(k) = 9 + 2*k**3 - 2*k**3 + k**4 + k - k**2 - 10. Let p(u) = -a(u) + 8*g(u). Find i such that p(i) = 0. -3, -1, 0 Let d be (-6)/117*(-3 - 6). Factor 2/13*u + d*u**3 + 0 - 2/13*u**4 - 6/13*u**2. -2*u*(u - 1)**3/13 Let p = 686 - 54879/80. Let w(t) be the second derivative of 0 + 0*t**3 + 0*t**2 - t - p*t**5 + 1/48*t**4. What is v in w(v) = 0? 0, 1 Suppose 38*p - 3 = 37*p. Determine h so that -1/3*h**p - 5/3*h**2 - 8/3*h - 4/3 = 0. -2, -1 Suppose 0 = -4*m - 4*f + 12, 3*f - 5 = -4*m + 9. Suppose 0 = -m*a + 105 + 25. Determine u so that 18*u**2 + 12*u**4 + 4*u**3 - 4*u**3 - a*u**3 - 4*u = 0. 0, 1/2, 2/3, 1 Determine r so that 2/3*r**3 + 2/3*r**2 + 1/6*r**4 + 0 + 0*r = 0. -2, 0 Let y(q) be the first derivative of 0*q + 0*q**3 + 0*q**5 + 0*q**2 + 1/12*q**6 - 1/8*q**4 + 3. Let y(p) = 0. What is p? -1, 0, 1 Let d be (-2)/(-8)*(-46)/1863. Let m = 331/1134 + d. Factor 0 - 2/7*v**3 + 2/7*v - m*v**2 + 2/7*v**4. 2*v*(v - 1)**2*(v + 1)/7 Let h(c) be the first derivative of -4 - c**2 - 1/3*c**3 + 0*c. What is x in h(x) = 0? -2, 0 Suppose -4/7*i**2 + 0 - 10/7*i**3 - 6/7*i**4 + 0*i = 0. Calculate i. -1, -2/3, 0 Let d(j) be the third derivative of j**5/45 + j**4/18 - 4*j**3/3 - 41*j**2. Factor d(m). 4*(m - 2)*(m + 3)/3 Let r = -261 - -35237/135. Let k(l) be the third derivative of -3*l**2 - 1/108*l**4 + r*l**5 + 0 + 0*l - 1/180*l**6 + 0*l**3. Factor k(o). -2*o*(o - 1)*(3*o - 1)/9 Let m = 8 + -4. Factor m*j**3 - 2*j**4 - 3*j**3 + 4*j**4 - j**5 - 2*j**3. -j**3*(j - 1)**2 Let d(k) be the second derivative of -2*k**4/3 - 2*k**3/3 + 6*k. Factor d(x). -4*x*(2*x + 1) Suppose -5*m + 6 = 4*k - 3*m, -4*m = 3*k - 2. Suppose 10 = -k*q, -o + 0*o = q. What is v in 2*v**2 - 6*v**o + 23*v - 2*v**4 + 6*v**3 - 23*v = 0? -1, -1/3, 0, 1 Let a(w) = 2*w**3 - 3*w**2 + 3*w. Let f(i) = -6*i**3 + 8*i**2 - 8*i. Let x(t) = 8*a(t) + 3*f(t). Factor x(h). -2*h**3 Let u(v) = -5*v**2 - 7*v + 3. Let t(f) = 11*f**2 + 15*f - 7. Let a be 8 + (1 - 9)/4. Let j(k) = a*t(k) + 14*u(k). Let j(h) = 0. Calculate h. -2, 0 Let k(s) be the third derivative of 1/60*s**6 - 1/30*s**5 + 0*s + 0 - 1/12*s**4 + 3*s**2 + 1/105*s**7 + 0*s**3. Factor k(y). 2*y*(y - 1)*(y + 1)**2 Let m(f) be the second derivative of -3*f**5/140 + f**3/14 - 5*f. Let m(b) =
{ "pile_set_name": "DM Mathematics" }
u be c(69). Let a(b) = -1. Let w(t) = 5*t + 25. Let i(q) = -25*a(q) - w(q). What is i(u)? -25 Let j(h) = 19*h - 3. Let t be j(1). Let o(p) = -5 - 6 + t - 11 + 3*p. What is o(3)? 3 Let y(d) be the first derivative of -d**3/3 + 6*d**2 - 26*d - 71. Let u be y(9). Let o(v) = 5*v. Give o(u). 5 Let i(t) = t**3 + 12*t**2 + 12*t + 9. Suppose -61 = 5*c + 3*u, 5*u = -5*c - 67 + 2. Determine i(c). -2 Let d = -30476 - -30469. Let g(b) = b**3 + 9*b**2 + 3*b - 50. What is g(d)? 27 Let o(y) be the second derivative of 5*y**3/6 + 135*y**2/2 - 133*y + 3. Give o(-26). 5 Let l(p) be the first derivative of -p - 12 - 1/2*p**2. Determine l(-3). 2 Let p(o) = -o**3 - 3*o**2 + 6*o + 3. Let x be p(-4). Let u(w) be the second derivative of -w**4/12 - w**3/2 + 5*w**2/2 + 2529*w. Determine u(x). -5 Let z(o) be the second derivative of 3*o**5/20 - o**4/4 + o**3/6 + o**2 - 3427*o. Give z(1). 3 Suppose 9*g - 456 = 6*g + 79*g. Let p(f) = -f**3 - 7*f**2 - 3*f - 15. Determine p(g). -33 Let i(x) be the second derivative of -11/2*x**2 + 1/12*x**4 + 0 + x + 4/3*x**3. Suppose 6*n + n - 117 = 20*n. What is i(n)? -2 Let h be -10 + (-816)/(-84) - 16/(-7). Let v(z) = -134 + z**2 + 135 + 4*z + h*z. Give v(-3). -8 Let m = 45820 - 45874. Let w(a) = 5*a**2 + 272*a + 106. What is w(m)? -2 Let x(u) be the first derivative of -2/3*u**3 - 6*u + 102 + 7/2*u**2. Determine x(4). -10 Let w(h) = h**2 + 10*h + 12. Let t be w(-8). Let b(u) be the first derivative of -u**4/4 - u**3 + 2*u**2 - 4*u - 1711. Determine b(t). -4 Let u(c) be the second derivative of c**5/20 - c**4/2 - c**3/3 + c**2 + c. Suppose -376*n + 381*n - 14*v - 86 = 0, 4*n = 5*v + 44. Calculate u(n). -10 Suppose 0 = c - 42 + 39. Suppose 0 = -c*p - 4*t - 26, 3*p + 6 = 4*t - 28. Let r(g) = -g**3 - 10*g**2 - g - 14. Give r(p). -4 Suppose 13*g - 157 = 64. Let q(n) = 10*n**2 - 14*n - 5. Let l(w) = 29*w**2 - 40*w - 14. Let c(f) = g*q(f) - 6*l(f). What is c(2)? -13 Let j(a) be the first derivative of -a**4/4 - 5*a**3/3 - 5*a**2/2 - 3*a + 2505. Give j(-4). 1 Suppose 9*u + 93 = m + 6*u, 0 = -4*m - 5*u + 321. Let k = m + -90. Let d(y) = y**2 + 7*y. Give d(k). -6 Let n(y) = -y**2 + 3*y - 22. Let s = 21587 - 21582. What is n(s)? -32 Suppose -3*f + s + 4*s + 43 = 0, f = 3*s + 21. Let j(t) = -17*t + 99. Calculate j(f). -3 Let r(d) = d**2 + 9*d + 3 - 42 - 1 + 1 + 7. Calculate r(-13). 20 Let w(q) = q + 12. Suppose 382*m - 4088 = 2406. Determine w(m). 29 Let u(d) = -d**2 + 12*d - 9. Let n(r) = 4*r**2 - 66*r + 38. Let p be n(16). Let j be -4*(-5*(p + -4))/4. What is u(j)? 11 Let l(h) = 2*h**3 + 2*h**2 - 14*h - 5. Suppose 115 = -j + 56 + 56. Calculate l(j). 1 Let x(a) = -113*a**3 - 19*a**2 + 1 - 29*a + 30*a + 20*a**2. What is x(-1)? 114 Let p(g) = -g**2 + 23*g - 3. Suppose -70*w + 610 = -720. Give p(w). 73 Suppose 2 = -d, -5*k + 2*d = 4*d - 16. Let c(p) be the third derivative of -p**6/120 + p**5/10 - p**4/4 + p**3/3 - 167*p**2 + 35*p. What is c(k)? 10 Let r = 234 - 14039/60. Let y(v) be the third derivative of 0*v + 0 + 16*v**2 + 5/24*v**4 + r*v**5 + v**3. Give y(-5). 6 Let w(u) = -u**2 + 2. Let k be w(3). Let n(z) = -6*z**2 - 14*z - 1. Let m(c) = 2*c**2 + 2*c + 2. Let j(r) = 2*m(r) + n(r). Give j(k). -25 Suppose -b - 36 = -2*n, 0 = -n + 10*b - 5*b + 9. Suppose -9*j + n = 10. Let g(o) = -10*o + 1. What is g(j)? -9 Let c(l) be the first derivative of 7/2*l**2 - 8*l + 40 + 1/3*l**3. What is c(-7)? -8 Let f(l) = 2*l + 25*l**2 + 28*l**2 - 6*l**3 + 3 - 55*l**2. Let r(v) = -7*v**3 - 2*v**2 + 2*v + 4. Let h(m) = 5*f(m) - 4*r(m). Calculate h(1). -3 Suppose 135 = -17*t + 84. Let x(a) = 2*a**3 + 10*a**2 + 10*a. Determine x(t). 6 Let m = 6545 - 6533. Let o(g) = -g + 38. What is o(m)? 26 Let g(x) = x + 4. Suppose -4*s + 3 = -13. Let d be (-4)/18 + (-204)/54. Let y be s*2*(1 + 7/d). Give g(y). -2 Let x(a) = 24976 - 24923 + 0*a + 0*a - 7*a. Calculate x(7). 4 Let y be 47/17 + (-1688)/(-7174). Let a(u) = -u**3 + 2*u**2 - 7*u + 4. Calculate a(y). -26 Let x(f) = f**3 - 7*f**2 + 3. Let c(y) = y. Suppose -2*z - 2 = 0, -m + 0*m + 5*z + 8 = 0. Let u be c(m). Determine x(u). -33 Let o(a) = -3 + 5 + 157*a**2 + 6*a - 158*a**2 - 1. Suppose p = 3*p - 8. What is o(p)? 9 Let q be 5/1*(-152)/380. Let y(g) = 9*g**2 + 4*g + 4. Determine y(q). 32 Let f(h) = 3*h + 6. Let s(k) be the second derivative of -k**4/3 - 5*k**3/6 + 6*k**2 - k + 7. Let y be s(-3). Calculate f(y). -21 Let g(f) = -226*f + 18. Let c(y) = 75*y + 1. Let r(p) = -3*c(p) - g(p). What is r(17)? -4 Let s(f) = 3*f**2 - 2*f - 2. Let o(i) = i**3 + 3*i. Let c be o(-2). Let m be 30/(-25)*(1 + c/4). Calculate s(m). 19 Let d(u) = 2*u**2 + 13*u + 3. Let f = -23 + 37. Suppose 6*j + 4*i - f = 9*j, 15 = -3*j + 3*i. Give d(j). -3 Suppose 18 = 35*r - 26*r. Let l(o) = -o**3 + 148 - 150 + 6*o + 40*o**r - 35*o**2. Determine l(6). -2 Let s(r) = 115*r + 142*r + r**2 - 236*r + 84. Give s(-16). 4 Suppose 5*b = 2*u + 7 + 9, u = -b + 6. Let l(q) = -28*q + 57*q - 28*q + u. Give l(-7). -5 Suppose -4 = 5*g - 24. Suppose 2*r + g*w = -0*r + 16, -20 = -5*w. Suppose r = 4*f - 3*f + 2. Let n(a) = a**3 + 5*a**2 + 4*a + 3. Give n(f). 7 Let a(v) = v**2 - 4*v + 1. Let z be a(1). Let p(d) = -7*d + 2. Let i(m) = -3*m + 2. Let u(w) = z*p(w) + 5*i(w). Give u(0). 6 Let m(x) = -5*x**3 - x**2 - 2*x - 1. Let f(q) = -13*q**3 - 3*q**2 - 5*q + 1. Let o(s) = 2*f(s) - 5*m(s). Determine o(0). 7 Let y(k) = -3*k - 15. Suppose 0 = -28*t + 23*t - 20. Let j(g) = g - 1. Let p(w) = t*j(w) - y(w). Give p(11). 8 Suppose -3*z + 3*o = 2*z + 2, z - 3*o = 2. Let s(b) = 3*b**2 + 3*b**2 - 8*b**2 + b + 44 - 29 - 14. Calculate s(z). -2 Suppose -2*c + 22 = 3*r - 0*c, -3*c + 23 = 2*r. Let f(u) = u - 3. Let b(t) = -30 + 18 + 11. Let l(i) = 4*b(i) - f(i). What is l(r)? -5 Let w be (-1)/((-8)/(-9) - 1). Let z(h) = -3*h**2 - w*h + 0*h + 3*h**2 + 10 + h**2. Determine z(8). 2 Let x(i) be the second derivative of -i**4/12 + 13*i**3/6 - 37*i**2/2 + 3*i + 56. Let j be x(6). Let v(p) = -5*p + 23. Calculate v(j). -2 Let p(j) = -8*j - 189. Let v be p(-24). Let z(s) = 9 + v*s - 4*s - 2 + 2*s - 5. What is z(5)? 7 Let s(k) be the third derivative of 0 - 82*k**2 - 5/6*k**3 + 1/60*k**5 + 1/8*k**4 + 0*k. Calculate s(-4). -1 Let v(j) = j**2 - 11*j + 20. Let k be v(9). Let r be -2 + (0 - (-4)/k). Let n(o) = 0*o**3 - 4*o**2 + r*o**3 - 28*o - 1 + 32*o - o**3. Give n(-5). 4 Let c(l) = -l - 6. Let w(b) = -12*b - 29. Let d(u) = -5*c(u) + w(u). Calculate d(1). -6 Let y(f) = 5*f - 9. Let m be 72/(-60)*(-325)/(-26). Determine y(m). -84 Let s(k) = -9*k**2 + k**3 - 11381 + 11395 - 2*k**3 - 16*k. What is s(-6)? 2 Let k(n) be the first derivative of n**3 - 3*n**2/2 + n - 2. Let s = 206 + -203. Let f(z) = 10*z**2 - 8*z + 2. Let t(w) = s*f(w) - 8*k(w). Calculate t(-2). 22 Let l(j) = j**3 + 2*j**2 - 1. Suppose -75*g - 69*g + 8*g - 408 = 0. Calculate l(g). -10 Let c(d) = d**3 - 8*d**2 + 49*d + 12. Let m(z) = 5*z**2 - 28*z - 7. Let j(n) = 4*c(n) + 7*m(n). Suppose -2*l + 4 - 8 = 0. Determine j(l). -21 Let l(x) = 10*x + 250. Let h be l(-25). Let t(u) = -28*u**2 + 1 + h + 0*u + 17*u**2 + 3*u + u**3 + 15*u**2. What is t(-3)? 1 Let v(d) be the first derivative of -d**4/4 + 5*d**3/3 - 5*d**2/2 + 9*d - 4551. Determine v(4). 5 Let s(g) = -g - 7. Suppose 4*u + 1 = 4*n + 101, -4*u - 2*n = -100. Let p(q) = q**3 - 26*q**2 + 25*q - 3. Let v be p(u). Calculate s(v). -4 Let x(s) = -s**2 + 11*s + 13. Let g be (-10)/(-25)*((-220)/(-8) + -10). Determine x(g). 41 Let l(v) = -22*v - 26. Let u(z) = 41*z + 48. Let f(j) = 11*l(j) + 6*u(j). What is f(0)? 2 Let c be 0*(16/(-6) + 3). Suppose c = 10*q - 12*q. Suppose -6*j + 0*j + 36 = q. Let l(v) = -v**2 + 7*v - 6. Give l(j). 0 Let g(c) = -c**3 - 7*c**2 + 5*c - 4. Suppose 624 = 4*z + 648. Determine g(z). -70 Let i(a) = -2*a + 4. Suppose -10*o + 22 = 2. Suppose 4*v - 4 = -3*p + 1, 2*p = o*v + 8. Give i(p). -2 Suppose 0 = a - 3*y + 11, 4*a - 24 = 3*y - 50. Let g(j) = -j**2 - 3*j + 7. Give g(a). -3 Let c(r) = -r**3 - 26*r**2 + 21. Suppose -2*h + 35*v - 64 = 32*v, 3*h = -2*v - 70. Give c(h). 21 Let k(g) = g**3 - g - 7. Suppose -6*f + 139 = -11. Suppose f = -3*q + 5*r, -r + 2*r = 3*q + 5. What is k(q)? -7 Let z(k) = 11*k**2 - 27*k + 11. Let m(p) = 2*p**2 - 5*p + 1. Let r(q) = -4*m(q) + z(q). What is r(2)? 5 Let r(s) = -s**2 - 3*s - 8. Let w = 465 - 449. Suppose 100 = -41*x + w*x. Give r(x). -12 Let
{ "pile_set_name": "DM Mathematics" }
7. Let d be 17 - (-39)/(-19 + 16). What is d*a(m) - 9*v(m)? m**3 + 2*m**2 - 2*m + 8 Let h(k) = k**3 - 2*k - 1. Let d(j) = 1224*j + 1230*j - 4907*j + 1228*j + 1226*j. Let v = 10 - 5. Give v*d(b) + 2*h(b). 2*b**3 + b - 2 Let i = 62 - 22. Suppose -i + 112 = 24*g. Let z(x) = 13*x**3 + 5*x**2 - 5*x - 3. Let p(l) = -7*l**3 - 3*l**2 + 3*l + 2. Determine g*z(r) + 5*p(r). 4*r**3 + 1 Let s(c) be the first derivative of -3*c**4/2 + 4*c**2 - 4*c - 703. Let g(w) = -5*w**3 + 8*w - 3. Give -4*g(i) + 3*s(i). 2*i**3 - 8*i Let k(m) be the first derivative of 140 + 13*m + 3/2*m**2 - 3*m**3. Let o(j) = -4*j**2 + j + 6. Calculate -3*k(v) + 7*o(v). -v**2 - 2*v + 3 Let o(l) = -15*l**3 + 9*l**2 + 25*l - 9. Let x(m) = -2*m**2 - 10174*m - 10178*m + 2 + 20346*m + 4*m**3. Determine -2*o(i) - 9*x(i). -6*i**3 + 4*i Let c(u) = u. Let w(h) = 9*h**2 + 22*h + 6. Let i(t) = 8*t**2 + 18*t + 5. Let o(j) = 7*i(j) - 6*w(j). Determine -5*c(b) - o(b). -2*b**2 + b + 1 Let b(x) = -9*x - 6. Let a(j) be the first derivative of -4*j**2 - 5*j + 35988. Let c = 2 - -3. Let o be ((-5)/3)/(c/(-15)). Give o*b(s) - 6*a(s). 3*s Let t(i) = -24*i. Let x(z) = 2*z - 1. Let q(l) = 7*l - 3. Let b(s) = -q(s) + 3*x(s). Determine -36*b(a) + t(a). 12*a Let p(q) = -5*q**2 + 7*q + 23. Let d(i) be the first derivative of -i**3 + 2*i**2 + 12*i + 2341. Calculate -7*d(j) + 4*p(j). j**2 + 8 Let s(t) = -3*t**3 - 132*t**2 + 16*t + 60. Let m(k) = 2*k**3 + 83*k**2 - 10*k - 40. Calculate 8*m(z) + 5*s(z). z**3 + 4*z**2 - 20 Let a(s) = -s**3 - 2*s**2. Let o(r) = 15*r**3 + 12*r**2 + 34. Calculate -6*a(x) - o(x). -9*x**3 - 34 Let k(w) = -18*w**2 + 7*w - 1. Let s(o) = -17*o**2 + 6*o - 1. Determine -6*k(a) + 7*s(a). -11*a**2 - 1 Let v(o) = o**2 + 1. Suppose -6*n + 0*n = 36. Let m(i) = i + 1738*i**2 - 1730*i**2 + 6 - 3*i. Determine n*v(p) + m(p). 2*p**2 - 2*p Let f be (-754)/203 - (-20)/28. Let n(k) = -21*k**2 + 9*k. Let x(t) = 11*t**2 - 4*t. Give f*n(r) - 7*x(r). -14*r**2 + r Let t(q) = -q**2 + 2*q + 341. Let z(r) = 6*r**2 - 11*r - 1704. What is 11*t(a) + 2*z(a)? a**2 + 343 Let y(w) = -5*w**3 + 2*w - 1. Let j(a) = 19*a**3 - 85*a**2 - 6*a + 6. Determine j(o) + 3*y(o). 4*o**3 - 85*o**2 + 3 Let j(u) = 96*u**2 - 508*u + 12. Let t(h) = 34*h**2 - 170*h + 4. Give -6*j(w) + 17*t(w). 2*w**2 + 158*w - 4 Let j(z) = z**2 - 20 + 0*z**2 + 40 - 21. Suppose 0 = -u - 5*t - 4 + 40, -5*u = -2*t - 72. Let q(v) = 2*v**2 + 2*v**2 - u*v**2 + 18. Give 18*j(x) + q(x). 6*x**2 Let z(r) = -5*r + 439. Let w(v) = -3*v + 220. What is 7*w(n) - 4*z(n)? -n - 216 Let g be (0 - (0 + 3))*-1. Let v = g + -4. Let u(b) = -b + 2316 + 2325 - 4641. Let q(p) = -7*p - 2. Give v*q(d) + 6*u(d). d + 2 Let a(f) = -28*f + 17. Let y(p) = 135*p - 81. Let v(r) = 24*a(r) + 5*y(r). Let m(j) = j**2 + 5*j + 5. Calculate -3*m(i) + 5*v(i). -3*i**2 Let f(g) = -2*g**3 - 6*g**2. Let c = -39 + 75. Let o = c - 30. Let x(v) = 2*v**3 + 7*v**2. What is o*f(i) + 5*x(i)? -2*i**3 - i**2 Let d(y) = -16*y**2 + 23*y - 42. Let r(s) = -15*s**2 + 16*s - 40. Calculate -2*d(q) + 3*r(q). -13*q**2 + 2*q - 36 Let o(d) = -9*d**3 + 7*d**2 + 37*d + 6. Let h(n) = 10*n**3 - 8*n**2 - 46*n - 7. Give 6*h(k) + 7*o(k). -3*k**3 + k**2 - 17*k Let r(s) = -3*s**2 + 1. Suppose -8*u - u = -36. Suppose 2*d - 3*d = 0. Let n(z) = 5 + d - 5*z**2 - 11*z**2. Give u*n(l) - 22*r(l). 2*l**2 - 2 Let f(p) = 4*p + 45. Let z be f(-13). Let l(x) = -4 + 5 - 3 + 17*x - 16*x. Let g(k) be the second derivative of -k**3/6 + 2*k**2 - k. Calculate z*l(y) - 4*g(y). -3*y - 2 Let y(x) = 88*x**2 - 69*x - 33. Let r(b) = -63*b**2 + 46*b + 21. Give 7*r(z) + 5*y(z). -z**2 - 23*z - 18 Let r(w) = -21*w - 4. Let y(m) = 1. Let p(f) = 7*f**2 - 18*f - 5. Let g be p(3). Calculate g*y(a) + r(a). -21*a Let g(q) = -q - 1. Let b(y) = 471. Let a(t) = -265. Let u(k) = 16*a(k) + 9*b(k). Let o(z) = -z**2 + 5*z + 1. Let s be o(5). Calculate s*u(h) - g(h). h Let x(f) be the third derivative of 3*f**4/8 - 11*f**3/6 + 1926*f**2. Let g(j) = 13*j - 16. What is 5*g(o) - 7*x(o)? 2*o - 3 Let l(r) = -220*r + 2 - 212*r - 1 + 430*r. Let g(x) = x - 1. Determine 8*g(j) + 5*l(j). -2*j - 3 Let g(h) = 3*h - 815. Let a(t) = 5*t - 1716. Determine -4*a(p) + 9*g(p). 7*p - 471 Let y = -4897 + 4902. Let q(g) = -g**3 + 32*g**2 - 2*g. Let n(l) = -l**3 + 48*l**2 - 3*l. Determine y*n(v) - 7*q(v). 2*v**3 + 16*v**2 - v Let i(p) be the second derivative of -p**5/20 - p**4/2 + p**3 + 3*p. Let l(q) = -2819 + q**3 - 5*q + 5673 - 2854 + 5*q**2. What is -5*i(f) - 6*l(f)? -f**3 Let c(z) = 7*z**3 - 2*z**2 + 2*z - 4. Let b(d) = -15*d**3 + 5*d**2 - 4*d + 8. Let m(w) = -125*w - 127. Let a be m(-1). What is a*b(y) - 5*c(y)? -5*y**3 - 2*y + 4 Let h(c) = 24*c**3 + 18*c**2 + 21*c + 18. Let x(z) = z + 11551*z**2 + 1 - 5788*z**2 - 5762*z**2 + z**3. What is h(p) - 18*x(p)? 6*p**3 + 3*p Let v(f) = -4*f**2 - f + 60. Let s(b) = 3*b**2 + b - 57. Give -5*s(m) - 4*v(m). m**2 - m + 45 Let m(k) = 84*k**2 - 182*k - 7. Let b(f) = -44*f**2 + 84*f + 3. Let x(y) = -13*b(y) - 6*m(y). Let v(g) = -68*g**2 - 2. Give 3*v(s) + 2*x(s). -68*s**2 Let x(j) = 2*j - 1. Let q(t) = t**3 + 3*t**2 - 7*t - 18. Suppose -3*a + 662 - 674 = 0. Let w be q(a). Let o(z) = -3*z + 2. Calculate w*o(d) - 11*x(d). -4*d - 1 Let u(z) = -z + 1. Let m = 284 + -378. Let w = m + 95. Let f(v) = -5*v + 2. What is w*f(i) - 3*u(i)? -2*i - 1 Let w(r) = -185*r**3 - 60*r**2 + 3*r + 6. Let d(i) = -370*i**3 - 110*i**2 + 5*i + 11. What is 6*d(m) - 11*w(m)? -185*m**3 - 3*m Let r(c) = 44*c + 10. Let q(p) = 23*p + 1. Determine 5*q(w) - 3*r(w). -17*w - 25 Let w(h) = -h**2 + 880*h + 1. Let a(n) = 4*n**2 - 3521*n - 4. What is 4*a(j) + 15*w(j)? j**2 - 884*j - 1 Suppose 3*g = 4*g - 5. Let b(r) = -2*r + 1151*r**2 + 1135*r**2 - 5*r**3 - 2 - 2284*r**2. Let s(f) = 9*f**3 - 5*f**2 + 5*f + 5. Give g*b(c) + 2*s(c). -7*c**3 Let i(k) be the first derivative of 110*k**3 - 45*k + 291. Let n(s) = -15*s**2 + 2. Calculate 2*i(m) + 45*n(m). -15*m**2 Let b(c) = 4*c**3 - 8*c**2 - 3*c - 12. Let s(x) = x**3 + 2*x**2 + 2. Give b(g) + 4*s(g). 8*g**3 - 3*g - 4 Let t(r) = -11*r - 6. Let q(v) = -429*v + 2 + 1 + 854*v - 420*v. Determine -13*q(p) - 6*t(p). p - 3 Let y(u) be the second derivative of -u**2/2 + 112*u - 4. Let k(s) = 27*s**2 - 12. Calculate k(f) - 12*y(f). 27*f**2 Let b(f) = 28*f**3 + 21*f**2 - 10. Let x(z) = z**3 - 11*z**2 - z - 1. Give -b(p) - 2*x(p). -30*p**3 + p**2 + 2*p + 12 Let o(r) = 88*r - 256. Let p(w) = 20*w + 2. Give o(l) - 4*p(l). 8*l - 264 Let t = 15602 + -15607. Let i(j) = -5. Let h(w) = -w - 4. Give t*i(o) + 6*h(o). -6*o + 1 Let r(k) = -k**2 - 2*k - 6. Suppose 0*u - 5*u - 225 = 0. Suppose 6*l - 256 = -4. Let q = u + l. Let y(n) = n**2 + n + 5. What is q*y(a) - 2*r(a)? -a**2 + a - 3 Let b(n) = 144*n - 282*n + 5 + 137*n. Let o be 1 - (-4)/(-4 - -8). Let x(h) = -1. Give o*b(s) + 9*x(s). -2*s + 1 Let g(j) = j**2 + j - 2. Let d(q) = 8*q**2 - 12. Let v(x) = d(x) - 3*g(x). Let f(y) = -6*y**2 + 4*y + 7. Let l be (-1081)/188 - 6/(-8). What is l*v(i) - 4*f(i)? -i**2 - i + 2 Let l(k) = 7*k - 6. Let g(t) = 490*t - 31. What is g(a) - 5*l(a)? 455*a - 1 Let t(s) = -90*s**2 + 27*s. Suppose -35*z + 38*z - 81 = 0. Let l(r) = 0*r**2 + 24*r - 2*r**2 - 14*r - 14*r + 15*r**2. Give z*l(d) + 4*t(d). -9*d**2 Let v(u) = 26*u + 3. Let t(g) = 299 - 4*g + 6*g - 301 - 9*g - 19*g. Give 4*t(s) + 3*v(s). -26*s + 1 Let v(a) be the third derivative of a**6/60 + a**5/12 - a**4/12 - 751*a**2 - 2. Let s(w) = -9*w**3 - 25*w**2 + 11*w. Give 2*s(p) + 11*v(p). 4*p**3 + 5*p**2 Let t(o) = 5*o - 6. Let k(q) = -2. Suppose -a + 136 - 131 = 0. Let j(u) = a*k(u) - t(u). Let i(z) = -45*z - 35. Give -4*i(l) + 35*j(l). 5*l Suppose -3*l = -5*d - 232 + 281, 4*d - 56 = -6*l. Let k(o) = 39*o**3 + 2*o**2 + 3*o. Let g(i) = 195*i**3 + 11*i**2 + 16*i. What is d*k(m) - 2*g(m)? 39*m**3 + m Let o(z) = -z**2. Let v(p) = 6*p - 36. Let j be v(-3). Let t be 1786/(-423) - (-4)/j*-3. Let h(x) = -3*x**2 + 6. Determine t*o(f) + h(f). f**2 + 6 Let l(c) = 5181*c**3 - 4*c**2 + 4*c + 20. Let a(t) = 243508*t**3 - 187*t**2 + 187*t + 935. Give -4*a(d) + 187*l(d). -5185*d**3 Let i(q) = 35*q**2 + 4145*q + 1. Let s(c) = 8*c**2 + 1036*c. What is -2*i(h) + 9*s(h)? 2*h**2 + 1034*h - 2 Let j = 0 + -1. Let n(h) be the second derivative of 4*h**3/3 - 3*h**2/2 - 2*h - 2. Let x(o) = 14*o + 2 - 2 - 1 - 25*o + 12*o. Determine j*n(m) + 5*x(m). -3*m - 2 Let
{ "pile_set_name": "DM Mathematics" }
rounded to 4 decimal places? -0.0049 What is -0.000037444 rounded to 6 dps? -0.000037 What is 92.76 rounded to the nearest 10? 90 What is -508000 rounded to the nearest 10000? -510000 What is 2.91414 rounded to 2 decimal places? 2.91 What is 431.2 rounded to the nearest 10? 430 What is 1579600 rounded to the nearest 100000? 1600000 What is 20.88 rounded to 1 dp? 20.9 Round 105.604 to the nearest 10. 110 Round 0.4565 to 2 decimal places. 0.46 What is -6.3597 rounded to 0 decimal places? -6 What is -8394 rounded to the nearest 1000? -8000 What is -5322.7 rounded to the nearest one hundred? -5300 Round -1044.3 to the nearest ten. -1040 What is -226814000 rounded to the nearest one million? -227000000 What is -5.952 rounded to one decimal place? -6 Round 16660 to the nearest 1000. 17000 Round -76204000 to the nearest 1000000. -76000000 What is 1585.2 rounded to the nearest one hundred? 1600 What is -0.3265 rounded to two decimal places? -0.33 What is -70.143 rounded to 1 dp? -70.1 What is -9.72 rounded to zero decimal places? -10 What is 0.00000014 rounded to six decimal places? 0 What is -46.1 rounded to zero dps? -46 What is -0.006931 rounded to 4 decimal places? -0.0069 Round -139 to the nearest 100. -100 What is 0.000039827 rounded to six decimal places? 0.00004 What is -0.004498 rounded to 3 decimal places? -0.004 What is 123525 rounded to the nearest ten thousand? 120000 What is -0.7952 rounded to 2 dps? -0.8 Round -244 to the nearest one hundred. -200 What is 14.138 rounded to zero dps? 14 What is -761000 rounded to the nearest one hundred thousand? -800000 What is -0.000016734 rounded to 6 dps? -0.000017 What is 1348000 rounded to the nearest one million? 1000000 Round 3747000 to the nearest 100000. 3700000 Round 0.000002967 to 7 dps. 0.000003 Round 0.000006839 to six dps. 0.000007 Round -92500 to the nearest one hundred thousand. -100000 Round -0.0000076486 to 7 dps. -0.0000076 Round 6032720 to the nearest 100000. 6000000 Round -316900 to the nearest ten thousand. -320000 Round -0.000003068 to seven dps. -0.0000031 What is -0.0001836 rounded to five dps? -0.00018 Round -1.1281 to two decimal places. -1.13 What is -75.715 rounded to the nearest ten? -80 Round -493800 to the nearest 100000. -500000 What is -0.03155 rounded to two decimal places? -0.03 Round 519.09 to the nearest integer. 519 What is -65491 rounded to the nearest 10000? -70000 What is 0.0015485 rounded to 4 dps? 0.0015 What is -106130 rounded to the nearest 10000? -110000 Round -14706.4 to the nearest one hundred. -14700 Round -5210000 to the nearest 1000000. -5000000 What is 0.0000032481 rounded to 6 dps? 0.000003 Round -204124000 to the nearest 1000000. -204000000 What is 2.15 rounded to the nearest integer? 2 What is 0.004905 rounded to 3 dps? 0.005 Round -123900 to the nearest 10000. -120000 What is -5.1532 rounded to two dps? -5.15 Round 0.016572 to 4 decimal places. 0.0166 Round -0.0000006627 to seven dps. -0.0000007 Round -184.3 to the nearest 10. -180 What is 88.56 rounded to the nearest integer? 89 What is 0.000025887 rounded to five decimal places? 0.00003 Round 6.41 to 1 dp. 6.4 What is 10678600 rounded to the nearest 1000000? 11000000 What is -0.00002572 rounded to six dps? -0.000026 Round -59.835 to the nearest ten. -60 Round 0.00558 to 4 dps. 0.0056 What is 15270 rounded to the nearest 1000? 15000 Round -0.004737 to 4 dps. -0.0047 Round -17910 to the nearest 1000. -18000 What is 0.00951 rounded to 2 decimal places? 0.01 Round 2.0465 to 1 dp. 2 Round 2360000 to the nearest one million. 2000000 What is 3.041 rounded to 1 decimal place? 3 What is 8086000 rounded to the nearest 1000000? 8000000 Round -0.00003441 to 7 dps. -0.0000344 What is -4500000 rounded to the nearest 1000000? -5000000 Round 0.00000048796 to seven dps. 0.0000005 Round -4079500 to the nearest one hundred thousand. -4100000 Round -0.1487 to three decimal places. -0.149 Round 7.067 to one dp. 7.1 Round -0.22761 to two decimal places. -0.23 What is -4006200 rounded to the nearest 10000? -4010000 What is -144936 rounded to the nearest one thousand? -145000 What is -251721 rounded to the nearest one thousand? -252000 Round 0.10852 to three dps. 0.109 What is 2300000 rounded to the nearest one million? 2000000 What is -101.98 rounded to the nearest 100? -100 What is 1610 rounded to the nearest 100? 1600 Round 6.7143 to 1 decimal place. 6.7 What is -2260000 rounded to the nearest one hundred thousand? -2300000 Round -389300 to the nearest 100000. -400000 What is -61640 rounded to the nearest 10000? -60000 Round -395.77 to the nearest one hundred. -400 Round 58720 to the nearest 1000. 59000 What is 4.00696 rounded to 2 decimal places? 4.01 Round 0.001484 to four decimal places. 0.0015 What is -0.0000013335 rounded to seven dps? -0.0000013 Round 0.000498 to five dps. 0.0005 Round -0.003354 to 3 decimal places. -0.003 What is 58756000 rounded to the nearest one hundred thousand? 58800000 Round 26720 to the nearest 1000. 27000 Round -0.00000376 to seven dps. -0.0000038 Round -0.0000203977 to 7 dps. -0.0000204 Round 9871000 to the nearest 1000000. 10000000 What is -2964.8 rounded to the nearest 100? -3000 What is -2837 rounded to the nearest 100? -2800 Round 0.00006675 to 5 dps. 0.00007 Round -6.478 to 0 decimal places. -6 Round 80840000 to the nearest 1000000. 81000000 Round -151.03 to the nearest ten. -150 What is -0.000125934 rounded to 7 decimal places? -0.0001259 Round 1384500 to the nearest 10000. 1380000 What is -606850 rounded to the nearest 1000? -607000 What is 67130 rounded to the nearest one thousand? 67000 Round -0.0024621 to 5 dps. -0.00246 What is 62 rounded to the nearest one hundred? 100 Round -2.806 to 1 decimal place. -2.8 Round 0.2599 to 2 dps. 0.26 What is -15270000 rounded to the nearest 1000000? -15000000 Round -4.7 to the nearest 10. 0 What is 0.050515 rounded to four dps? 0.0505 What is 0.00009155 rounded to 5 decimal places? 0.00009 What is 70337400 rounded to the nearest one million? 70000000 What is 0.000194812 rounded to 6 decimal places? 0.000195 What is -0.003589 rounded to three decimal places? -0.004 Round -107500 to the nearest 10000. -110000 Round -0.0009016 to five decimal places. -0.0009 Round 0.0022351 to five decimal places. 0.00224 What is -0.318 rounded to 1 decimal place? -0.3 Round -0.002532 to four decimal places. -0.0025 Round -29036.8 to the nearest one thousand. -29000 What is 0.00002379 rounded to 6 decimal places? 0.000024 Round 0.0008397 to four decimal places. 0.0008 Round -7155400 to the nearest 100000. -7200000 What is 0.00015823 rounded to 5 dps? 0.00016 Round -42800000 to the nearest 1000000. -43000000 Round -0.00001473 to 5 decimal places. -0.00001 Round -0.0075974 to three dps. -0.008 What is -12557 rounded to the nearest one thousand? -13000 Round -60434000 to the nearest one million. -60000000 What is -0.000492 rounded to 4 dps? -0.0005 What is -0.00000021896 rounded to seven dps? -0.0000002 Round 52800 to the nearest 10000. 50000 What is 0.3314 rounded to two dps? 0.33 What is -6806000 rounded to the nearest 1000000? -7000000 Round 4197600 to the nearest ten thousand. 4200000 What is -2938060 rounded to the nearest 100000? -2900000 Round -0.0015461 to 3 decimal places. -0.002 Round -695000 to the nearest 100000. -700000 Round -0.13608 to three decimal places. -0.136 Round -20089000 to the nearest one hundred thousand. -20100000 Round -942300 to the nearest 100000. -900000 Round 25.61 to the nearest 10. 30 Round 0.0000014648 to 6 decimal places. 0.000001 Round 1147.92 to the nearest 10. 1150 Round 215.4 to 0 decimal places. 215 Round 871.6 to the nearest 100. 900 What is 0.004394 rounded to 4 decimal places? 0.0044 What is 77.335 rounded to 1 dp? 77.3 Round -46850 to the nearest 10000. -50000 What is -0.001274 rounded to 3 decimal places? -0.001 What is -3955.2 rounded to the nearest 100? -4000 What is 0.0000000133 rounded to six dps? 0 What is -0.0002406 rounded to five decimal places? -0.00024 Round 4676000 to the nearest 1000000. 5000000 What is 36800000 rounded to the nearest one million? 37000000 Round 195.89 to 0 decimal places. 196 What is 187.7 rounded to the nearest 10? 190 Round -0.006952 to three decimal places. -0.007 What is 11974
{ "pile_set_name": "DM Mathematics" }
nce tg? 1/20 What is prob of sequence kw when two letters picked without replacement from rlwpxkxw? 1/28 Two letters picked without replacement from zmiqmimmqivm. Give prob of sequence iq. 1/22 What is prob of sequence me when two letters picked without replacement from {v: 4, g: 6, k: 2, m: 4, e: 1, j: 2}? 2/171 Three letters picked without replacement from {x: 3, b: 8, w: 1, m: 3, y: 4}. What is prob of sequence wbb? 28/2907 Three letters picked without replacement from {c: 6, h: 2, e: 7}. What is prob of sequence chc? 2/91 Calculate prob of sequence ejy when three letters picked without replacement from jjejyeee. 1/28 Calculate prob of sequence nq when two letters picked without replacement from {n: 4, p: 2, q: 1, z: 4, j: 1, f: 2}. 2/91 What is prob of sequence oo when two letters picked without replacement from oaoaaaaalaallaaaaa? 1/153 Calculate prob of sequence jih when three letters picked without replacement from {h: 1, j: 2, f: 1, m: 2, q: 1, i: 1}. 1/168 Calculate prob of sequence xsj when three letters picked without replacement from {s: 2, y: 7, x: 7, k: 3, j: 1}. 7/3420 Two letters picked without replacement from iqiiqiiqqiygiqgyiry. Give prob of sequence qi. 20/171 What is prob of sequence lil when three letters picked without replacement from llil? 1/4 Two letters picked without replacement from {k: 2, y: 1}. Give prob of sequence kk. 1/3 Two letters picked without replacement from {q: 1, g: 3, o: 2, d: 2, x: 9}. Give prob of sequence dx. 9/136 Two letters picked without replacement from {d: 2, y: 1, h: 2, u: 4, a: 4, n: 1}. Give prob of sequence ha. 4/91 Three letters picked without replacement from pccwpcpwwpw. Give prob of sequence ccc. 1/165 Four letters picked without replacement from {s: 2, n: 4, k: 1}. What is prob of sequence nkks? 0 What is prob of sequence ndgd when four letters picked without replacement from dodonddogddogg? 15/4004 Three letters picked without replacement from {b: 9, h: 10, v: 1}. Give prob of sequence hhv. 1/76 Four letters picked without replacement from {k: 1, q: 2, h: 2, p: 1, j: 1, g: 2}. What is prob of sequence hphj? 1/1512 Three letters picked without replacement from fffffsfsfffsfs. What is prob of sequence ffs? 15/91 Calculate prob of sequence ab when two letters picked without replacement from {f: 1, b: 3, a: 7, p: 1}. 7/44 What is prob of sequence jja when three letters picked without replacement from rrrajjajajaj? 2/33 Two letters picked without replacement from {c: 2, n: 3, a: 13}. What is prob of sequence ac? 13/153 Four letters picked without replacement from wwnhnllnwwnwnylh. What is prob of sequence hwnl? 5/1456 Four letters picked without replacement from haahhahetss. Give prob of sequence hhte. 1/660 Calculate prob of sequence www when three letters picked without replacement from {w: 12, x: 6}. 55/204 Calculate prob of sequence ii when two letters picked without replacement from bihbbubuibb. 1/55 Calculate prob of sequence hhs when three letters picked without replacement from hhhs. 1/4 Calculate prob of sequence kr when two letters picked without replacement from {k: 7, o: 2, r: 5}. 5/26 Calculate prob of sequence mks when three letters picked without replacement from {l: 1, k: 2, m: 1, s: 3}. 1/35 What is prob of sequence dyu when three letters picked without replacement from rrrrtrdybyrtbdtudd? 1/612 Three letters picked without replacement from ioifoioaimiaaomaiooo. Give prob of sequence aia. 1/95 What is prob of sequence nmf when three letters picked without replacement from fvvnmvnaffnamnvfvnnn? 7/855 Four letters picked without replacement from {e: 1, v: 4, s: 2, t: 1, u: 3}. Give prob of sequence vsvv. 1/165 Two letters picked without replacement from {j: 2, m: 18}. Give prob of sequence jm. 9/95 Four letters picked without replacement from hgoageehgoaaad. What is prob of sequence hahe? 2/3003 Two letters picked without replacement from {z: 1, i: 1, c: 2, v: 4, l: 1}. Give prob of sequence lc. 1/36 What is prob of sequence uwjw when four letters picked without replacement from wjuoiww? 1/140 Two letters picked without replacement from {s: 3, w: 1}. Give prob of sequence ws. 1/4 What is prob of sequence oao when three letters picked without replacement from ooooaoaooooaooaa? 55/336 Four letters picked without replacement from yyyyyyyyy. What is prob of sequence yyyy? 1 What is prob of sequence mo when two letters picked without replacement from mmmouuussc? 1/30 What is prob of sequence yyp when three letters picked without replacement from {p: 2, u: 10, y: 2}? 1/546 Two letters picked without replacement from {k: 16, s: 4}. Give prob of sequence ks. 16/95 Two letters picked without replacement from {b: 3, w: 2, y: 4}. Give prob of sequence by. 1/6 Three letters picked without replacement from mmsapiggsipppp. What is prob of sequence gam? 1/546 Four letters picked without replacement from {f: 5}. Give prob of sequence ffff. 1 Three letters picked without replacement from nngggggggoengg. What is prob of sequence ngo? 9/728 Calculate prob of sequence eme when three letters picked without replacement from emmeemrbeb. 1/20 Three letters picked without replacement from {r: 1, l: 1, h: 2, i: 4, v: 3}. What is prob of sequence hrv? 1/165 What is prob of sequence ccw when three letters picked without replacement from {w: 1, c: 11}? 1/12 What is prob of sequence qqq when three letters picked without replacement from {q: 3, f: 2}? 1/10 What is prob of sequence tuoo when four letters picked without replacement from {e: 1, u: 1, c: 4, o: 2, t: 1}? 1/1512 What is prob of sequence vvq when three letters picked without replacement from qvvvqqqqqqqqqqqvqq? 7/204 What is prob of sequence jjj when three letters picked without replacement from {j: 7, q: 2, l: 3, x: 7}? 35/969 Four letters picked without replacement from {z: 1, f: 3, t: 2, h: 6, b: 2}. What is prob of sequence tfft? 1/2002 Three letters picked without replacement from {r: 6, k: 4, y: 1, l: 7}. What is prob of sequence lll? 35/816 What is prob of sequence ahza when four letters picked without replacement from {a: 2, h: 1, z: 1}? 1/12 Calculate prob of sequence sgds when four letters picked without replacement from ssgzdzzstgdsszdd. 1/273 Four letters picked without replacement from {x: 3, j: 1, m: 1, v: 1, d: 1}. What is prob of sequence dxxm? 1/140 Two letters picked without replacement from ppnppnnpnn. What is prob of sequence pp? 2/9 Three letters picked without replacement from {y: 5, s: 5}. Give prob of sequence yss. 5/36 Three letters picked without replacement from qsqqs. Give prob of sequence sqs. 1/10 Three letters picked without replacement from caweuwyy. Give prob of sequence yey. 1/168 What is prob of sequence ckk when three letters picked without replacement from kktkckckckccccckcc? 35/408 Three letters picked without replacement from bmmjjzrs. What is prob of sequence smb? 1/168 Four letters picked without replacement from fnnnnbnnnfbf. What is prob of sequence nfbf? 7/990 What is prob of sequence quuq when four letters picked without replacement from {u: 2, o: 3, t: 4, q: 1}? 0 Calculate prob of sequence quq when three letters picked without replacement from piipiqiuuiqpqip. 2/455 Calculate prob of sequence aoaa when four letters picked without replacement from {o: 2, a: 3}. 1/10 What is prob of sequence og when two letters picked without replacement from gvooooogggooogg? 8/35 Three letters picked without replacement from {q: 3, j: 2, u: 3, w: 1, m: 1, s: 9}. What is prob of sequence ujj? 1/969 Three letters picked without replacement from gafffgaa. What is prob of sequence ffg? 1/28 Two letters picked without replacement from {p: 2, w: 1, s: 4, x: 4, m: 7}. Give prob of sequence mm. 7/51 What is prob of sequence omm when three letters picked without replacement from {z: 1, m: 2, r: 1, e: 1, l: 2, o: 2}? 1/126 What is prob of sequence pepe when four letters picked without replacement from {p: 2, e: 3, v: 5}? 1/420 Calculate prob of sequence drzr when four letters picked without replacement from {d: 1, z: 2, r: 5, u: 1, o: 1, w: 3}. 1/429 Calculate prob of sequence bwe when three letters picked without replacement from whebeb. 1/30 Two letters picked without replacement from {i: 4, e: 2, m: 1, k: 4, c: 3}. G
{ "pile_set_name": "DM Mathematics" }
*3/9 - 30*t**2 - 258. Factor i(q). -2*q*(q - 45)*(q - 2)/3 Find t, given that -14*t + 7*t**3 - 6*t**2 - t**4 - 2*t**2 + 3*t + 15*t - 2*t**3 = 0. 0, 1, 2 Let f(k) be the first derivative of -23/16*k**4 - 13/8*k**2 + 7/20*k**5 - 11 + 9/4*k**3 + 1/2*k. Factor f(l). (l - 1)**3*(7*l - 2)/4 Let a be ((-476)/833)/((-2)/4). Determine g, given that -2/7*g**2 - 8/7 - a*g = 0. -2 Suppose 0*y + 3*y + 12 = 4*n, 5*y + 12 = 4*n. Determine l so that 5 - 3*l**2 + 1 + 3*l**n - 3 - 3*l = 0. -1, 1 Let c(f) be the second derivative of -f**6/210 + f**5/140 + f**4/21 - 2*f**3/21 + 3*f - 22. Let c(a) = 0. Calculate a. -2, 0, 1, 2 Solve 6/19*j - 2/19*j**3 - 4/19 + 0*j**2 = 0. -2, 1 Let z be 8/30*(-66)/(-32). Let r = z - -1/5. Suppose r*v**2 + 1/2*v + 0 = 0. What is v? -2/3, 0 Let g(z) be the first derivative of -z**6/18 + z**5/5 + z**4/12 - z**3/3 + 94. Suppose g(n) = 0. What is n? -1, 0, 1, 3 Factor 1/5*x**2 - 8/5 + 2/5*x. (x - 2)*(x + 4)/5 Solve 0 - 4/3*s**2 + 0*s**4 - 3*s**3 + 1/3*s**5 + 4*s = 0. -2, 0, 1, 3 Let r(j) be the third derivative of 4/25*j**5 - 3/10*j**4 - 2/75*j**6 - 17*j + 0 + 0*j**3 + j**2. Factor r(a). -4*a*(2*a - 3)**2/5 Factor 13*v - 2*v**4 - 30*v**2 - 22*v**2 + 16*v**3 - 26 + 6*v**2 + 2 + 43*v. -2*(v - 3)*(v - 2)**2*(v - 1) Let c(m) = 7*m**2 - 6*m. Let j(u) = -2*u - 13*u + 12*u**2 - 3*u + 7*u. Let h(a) = 5*c(a) - 3*j(a). What is n in h(n) = 0? 0, 3 Factor 3/2 - 9/4*r**2 - 3/4*r. -3*(r + 1)*(3*r - 2)/4 Let c(w) be the third derivative of -w**6/300 - w**5/150 + 2*w**4/15 + 4*w**3/5 - 4*w**2 + 24*w. Factor c(n). -2*(n - 3)*(n + 2)**2/5 Let f = 19/234 - 5/26. Let p = 16/9 + f. What is m in 4/3*m**3 + 0 - 1/3*m**4 + 2/3*m - p*m**2 = 0? 0, 1, 2 Let q = -46/15 - -22/5. Determine r so that -2/3*r**2 + 2 - q*r = 0. -3, 1 Let u(d) = 2*d**4 - 11*d**3 - 14*d**2 + 5*d + 12. Let j(r) = 3*r**4 - 21*r**3 - 27*r**2 + 11*r + 24. Let c(p) = 3*j(p) - 5*u(p). Let c(q) = 0. Calculate q. -6, -2, -1, 1 Suppose 0*o - 8 = 2*o. Let b(q) = 20*q**2 - 90*q + 225. Let z(h) = 7*h**2 - 30*h + 75. Let a(x) = o*b(x) + 11*z(x). Solve a(u) = 0. 5 Let h = -1396 + 1399. Find z, given that -3/2*z**2 + 3/2*z**4 - 3*z**3 + h*z + 0 = 0. -1, 0, 1, 2 Determine s, given that 400 - 2/3*s**4 + 40/3*s - 76*s**2 - 14*s**3 = 0. -10, -3, 2 Suppose -2*g - l + 1 = 0, -4*g = -9*g + l - 1. Let h = 33627/2 - 16809. Suppose -3*i**3 - 3/2*i**5 + h*i**4 + 0 + 0*i**2 + g*i = 0. Calculate i. 0, 1, 2 Let t be 24/99*(-8 - (-209)/22). Factor 2/11*g**2 + t*g - 16/11. 2*(g - 2)*(g + 4)/11 Let h(z) = -z**2 - 7*z. Let a(o) = -o. Let q = 16 - 10. Let d(n) = q*a(n) - h(n). Solve d(v) = 0. -1, 0 Factor -10*l + 599 + 401*l**3 - 599 + 244*l**3 - 635*l**2. 5*l*(l - 1)*(129*l + 2) Factor -4/7*i**3 + 80/7*i - 192/7 + 16/7*i**2. -4*(i - 6)*(i - 2)*(i + 4)/7 Let s be (-419)/(-210) + -2 + (-32)/(-320). Find f, given that 0*f**2 - s*f**3 + 0*f - 2/21*f**4 + 0 = 0. -1, 0 Let v be (-695)/(-6) - 36/108. Let j = 117 - v. Suppose -j*u + 3/2*u**4 + 0 + 9/2*u**2 - 9/2*u**3 = 0. Calculate u. 0, 1 Let t(u) = u**2 + u - 1. Let x be t(2). Find y such that -10*y**4 - 3*y**5 + 3*y**2 + 5*y**x + 7*y**2 + 3*y**5 - 5*y = 0. -1, 0, 1 Factor -44/3 + 2/3*y - 2/3*y**3 + 44/3*y**2. -2*(y - 22)*(y - 1)*(y + 1)/3 Let x = -78 - -6. Let b = x - -72. Determine g, given that 0*g**2 + b*g + 1/4*g**3 + 0 = 0. 0 Let a(r) be the third derivative of 7/270*r**5 + 1/189*r**7 + 0*r**3 + 0*r + 0 - 1/54*r**4 - 1/60*r**6 - 12*r**2 - 1/1512*r**8. Determine i so that a(i) = 0. 0, 1, 2 Suppose 2*p - 6 = 4*p. Let k(s) = s**3 + 4*s**2 + s - 4. Let x be k(p). Find w such that 6 + 11*w**5 + 57*w**2 + 25*w**5 + 3*w**3 - 69*w**4 - 39*w + 6*w**x = 0. -1, 1/4, 2/3, 1 Let w(d) be the second derivative of 2*d**7/105 - 4*d**6/75 - 4*d**5/25 + 2*d**4/15 + 2*d**3/5 - 18*d - 3. Determine o, given that w(o) = 0. -1, 0, 1, 3 Let b(j) = -j**3 + 1. Let q(k) = 9*k**5 - 2*k**4 - 66*k**3 + 68*k**2 - 12*k + 3. Let l(u) = 3*b(u) - q(u). Solve l(x) = 0 for x. -3, 0, 2/9, 1, 2 Let w(x) be the third derivative of -1/8*x**4 + 0*x + 0 + 1/40*x**6 + 1/60*x**5 + 24*x**2 + 1/210*x**7 - 1/3*x**3. Suppose w(j) = 0. Calculate j. -2, -1, 1 Let j(u) be the first derivative of u**4/4 - 10*u**3/3 + 9*u**2/2 + 3*u - 53. Let s be j(9). Let 0*p**s - 2/9*p**2 + 0 + 2/9*p**4 + 0*p = 0. What is p? -1, 0, 1 Let i(q) = -11*q**4 - 109*q**3 - 151*q**2 - 80*q. Let v(c) = 3*c**4 + 27*c**3 + 38*c**2 + 20*c. Let t(o) = -2*i(o) - 9*v(o). Determine u so that t(u) = 0. -2, -1, 0 Let v(f) be the first derivative of 2*f**3/27 - 50*f**2/9 - 34*f/3 - 275. Determine y so that v(y) = 0. -1, 51 Let p(q) = 22*q**2 - 72*q + 52. Let j be 2/(-3)*(3 + 3). Let w(m) = m**3 + 44*m**2 - 145*m + 105. Let u(d) = j*w(d) + 10*p(d). Let u(v) = 0. Calculate v. 1, 5 Find r, given that -21*r - 16*r**3 + 17*r - 7*r**2 - 5*r**2 - 32 + 4*r**4 + 60*r + 0*r**2 = 0. -2, 1, 4 Let y be 176/20 + 4/20. Factor 2*w**4 + 6*w**2 + y*w**3 + 6*w - 4*w - 3*w**3. 2*w*(w + 1)**3 Let n(f) = f**2 - 28*f - 245. Let o be n(35). Let p be 1/3 + (-15)/(-36). Factor o + p*m - 3/4*m**2. -3*m*(m - 1)/4 Let k(s) be the second derivative of 2*s**6/15 - s**5/5 - 4*s**4 + s + 14. Find i such that k(i) = 0. -3, 0, 4 Let f(j) be the third derivative of -j**5/140 - 29*j**4/56 - 2*j**3 + 268*j**2. Find d, given that f(d) = 0. -28, -1 Let r be (-3157)/574 + (-3)/6 + (-13)/(-2). Factor -r*b + 1/4*b**2 - 3/4. (b - 3)*(b + 1)/4 Let j(v) be the first derivative of 0*v + 7/10*v**4 + 8/25*v**5 - 2 - 1/5*v**2 + 4/15*v**3. Factor j(d). 2*d*(d + 1)**2*(4*d - 1)/5 Let b(k) = -k**2 + 78*k + 506. Let o be b(-6). Suppose 15/2*h - 7/2 + 1/2*h**3 - 9/2*h**o = 0. What is h? 1, 7 Let n(w) be the second derivative of 0 - 17*w - 1/27*w**3 - 1/54*w**4 + 0*w**2. Factor n(h). -2*h*(h + 1)/9 Let h(f) = f**3 - f**2 + f. Let z(u) = 2*u**3 - 2*u**2 + 12*u - 8. Suppose 2 = 2*g - 6. Let y(p) = g*h(p) - z(p). Factor y(n). 2*(n - 2)*(n - 1)*(n + 2) Let y(g) be the first derivative of -5/14*g**4 - 21 + 4/7*g**3 + 4/7*g**2 - 16/7*g + 2/35*g**5. Factor y(x). 2*(x - 2)**3*(x + 1)/7 Let s = 113/15 - 31/5. Suppose 2*d = -4*h + 8, 5*h - 4*d - 25 = 11. Suppose 2/3*a**h + s*a**3 - 2/3*a**2 + 0 + 0*a - 4/3*a**5 = 0. Calculate a. -1, 0, 1/2, 1 Let h be -3 + 9*(-21)/(-9). Suppose -h*w + 23*w = 20. Let 5/2*s**2 + 1/6 + 2/3*s**w - 13/6*s**3 - 7/6*s = 0. What is s? 1/4, 1 Factor 4*c**4 - c**5 - 22*c - 31*c - c**4 - 4*c**2 + 53*c. -c**2*(c - 2)**2*(c + 1) Let n(f) be the first derivative of -f**6/960 + f**5/40 - 3*f**4/16 + 33*f**2/2 - 20. Let l(q) be the second derivative of n(q). Factor l(m). -m*(m - 6)**2/8 Let c(n) be the second derivative of -3/4*n**2 + 0 - 3/40*n**5 + 1/8*n**4 + 1/4*n**3 + 9*n. Determine r, given that c(r) = 0. -1, 1 Let t(c) be the second derivative of c**4/36 - c**3/6 - 2*c**2/3 + c + 65. Factor t(m). (m - 4)*(m + 1)/3 Let y = 617 + -612. Let w(z) be the first derivative of -3/10*z**6 - 33/10*z**4 - 39/25*z**y - 18/5*z**3 - 3/5*z - 21/10*z**2 + 8. Solve w(o) = 0 for o. -1, -1/3 Let g = -3616 + 3618. Factor -12/5*b**g - 8 - 68/5*b. -4*(b + 5)*(3*b + 2)/5 Let g(z) be the third derivative of z**6/30 + 2*z**5/5 + 3*z**4/2 + 8*z**3/3 - z**2 - 41. Factor g(h). 4*(h + 1)**2*(h + 4) Let n(t) = t**3 - 16*t**2 + 16*t + 14. Let w be n(16). Factor -3*q**4 - 4*q**4 + 65*q**3 - 280 + 2*q**4 + 576*q - 116*q - w*q**2. -5*(q - 7)*(q - 2)**3 What is n in -2/3*n**4 + 86/3*n**2 + 28 + 2/3*n**3 - 170/3*n = 0? -7, 1, 6 Let w(y) be the second derivative of -y**7/14 - y**6/10 + 27*y**5/20 - 11*y**4/4 + 2*y**3 + 170*y. Factor w(p). -3*p*(p - 1)**3*(p + 4) Let x be (-7)/(-21) + (-5)/(-3). Suppose -x*p = -p - 2. Find i, given that -1 + 1 - i**p + 2*i - 3*i = 0. -1, 0 Let w = 20/183 - -34/61. Let -4/3*r**3 + 4/3*r + 1/3*r**4 + w*r**2 - 1 = 0. What is r? -1, 1, 3 Suppose -2*t + 10 = -4*y, -4*t = 3*y + y - 20. Find l, given that -11*l**3 + y*l + 2 + 0*l**4 + 8*l**3 - l**2 - l**4 + 3*l = 0. -2, -1, 1 Suppose -5*u + 11 = -64. Let m(k) = 4*k**3 - k**4 + 5*k + 7*k**4 + 4*k**2 + 3 - 5 + 7. Let o(n) = -n**4 - n - 1. Let z(y) = u*o(y) + 3*m(y). Factor z(q). 3*q**2*(q + 2)**2 Suppose 12*i = 11*i. Let h(n) be the second derivative of -1/16*n**4 - 6*n + i - 3/8*n**2 + 1/4*n**3. Factor h(d). -3*(d - 1)**2/4 Let p(l) = -35*l - 5. Let q be p(-2). Find y such that -22 + 7 + 3*y**2 - 15*y**2 - 8*y**2 - q*y = 0. -3, -1/4 Let -13*n**2 - 20*n**
{ "pile_set_name": "DM Mathematics" }
-0.03315 What is the nearest to -2 in 3144, -12, 0.1? 0.1 What is the nearest to 2/5 in 7, 3/8, -0.4, 2.7? 3/8 What is the closest to -53 in 3/7, -5, 0, -32? -32 What is the nearest to -0.51 in 2/3, 3, -12, -3, -1? -1 What is the closest to 233 in -11, 5, 2, 3? 5 Which is the nearest to -0.47? (a) 79 (b) 1 (c) -2 b What is the nearest to -3/7 in -0.03, 2/9, 1/5, 3/2? -0.03 What is the nearest to 0 in -2/13, -903, -31, 0.5, 0.2? -2/13 Which is the nearest to -2/3? (a) -0.5 (b) 317 (c) -3 (d) 66 a Which is the nearest to 24? (a) -6/5 (b) 52 (c) -2 a What is the closest to -1 in 3, 26/53, -9, 0.2? 0.2 Which is the closest to -1/2? (a) -1 (b) 36 (c) 0.22 a What is the closest to -1/5 in 82, 0.5, 3/4, -8/7? 0.5 Which is the closest to 1/4? (a) 0 (b) 0.036 (c) -3/8 (d) -1/2 (e) 4/3 b Which is the nearest to 104? (a) -6 (b) 2/3 (c) 0.3 (d) -187 (e) 0.5 b Which is the nearest to 2? (a) -52 (b) -1/4 (c) 6 (d) -0.2 (e) 2/9 e What is the closest to 0.0032 in -5, -3, 1, 5.9? 1 What is the closest to -1/62 in 4, -2/11, 6, 15? -2/11 Which is the nearest to -14/3? (a) -36 (b) 0.1 (c) -2 (d) 5 c Which is the nearest to -0.02? (a) 29 (b) 0.06 (c) -3/61 (d) -0.4 c What is the nearest to 0.04 in -23, 0.1, -0.4, 23? 0.1 Which is the nearest to 2/17? (a) 3/2 (b) 1/3 (c) -0.031 (d) 0.5 (e) -2 c What is the closest to 0 in -0.4, 1/3, 1/78, 41/3? 1/78 What is the closest to -2/3 in -2/7, -1/117, 62? -2/7 What is the closest to -6/13 in 3, 2, -20.592? 2 What is the nearest to 1/18 in -2/5, 63, 2/5? 2/5 What is the nearest to 69 in 58, 16, 1? 58 Which is the closest to 3/5? (a) -4 (b) -1 (c) 25/2 (d) -3/2 (e) -5 b Which is the closest to -1/4? (a) 2/19 (b) -5 (c) 25.9 (d) -0.3 (e) -1/12 d What is the closest to 13/2 in 6, 4, -3/4? 6 Which is the closest to -3/20? (a) 0 (b) 0.075 (c) -0.5 (d) 0.1 a Which is the closest to -0.37? (a) 46 (b) -2/15 (c) -2/7 (d) 0.4 c Which is the closest to 0? (a) 0.20174 (b) 2/15 (c) -2/7 b Which is the nearest to -1? (a) 2/85 (b) -24/7 (c) -5.9 a Which is the closest to -29? (a) 0 (b) -2/7 (c) -1/2 (d) 5/3 (e) 4 c Which is the closest to 3? (a) -0.1 (b) -50 (c) -5 (d) -14 (e) -3/4 a Which is the closest to 2? (a) 375 (b) -3.4 (c) -32 b Which is the nearest to 0.01? (a) 0.03 (b) 3 (c) 1.3 a Which is the nearest to -1/4? (a) -8.6 (b) -1/3 (c) -5 (d) 19 b What is the nearest to 2/3 in 87, 32.57, 5/6? 5/6 What is the nearest to 0 in 0.25, -4, -1, 40? 0.25 Which is the closest to 25? (a) -2 (b) -1/2 (c) 27 c Which is the closest to -1/27? (a) -2/5 (b) -4 (c) -0.69 a Which is the closest to 80? (a) 14/51 (b) -5 (c) -0.3 a What is the nearest to -0.05 in 0.3, -0.25, 1/13? 1/13 What is the closest to 9/14 in -151, 2, -3, 5, -0.7? -0.7 Which is the closest to -8/19? (a) -1 (b) -3/7 (c) -0.4 b Which is the closest to 0.04? (a) -4 (b) 29/8 (c) 5 b What is the closest to -3 in -1/4, -10, 1, 1/4, -0.3? -0.3 What is the nearest to 0 in 0.18, -0.2, -5, 3? 0.18 Which is the closest to 8.69? (a) 1 (b) 1/2 (c) -2 (d) -3 (e) 2/23 a What is the closest to -2/3 in 18/25, 23, 3? 18/25 Which is the nearest to 0? (a) 0.5 (b) 32 (c) -331 a What is the nearest to 1 in 4, 1/3, -14, 130? 1/3 Which is the nearest to -16? (a) -4 (b) -327 (c) 4 (d) 2 (e) -0.5 a Which is the nearest to 0? (a) -15941 (b) -2 (c) -9 b Which is the closest to 0.07? (a) -0.5 (b) 5.48 (c) -1 (d) 2 a Which is the closest to 4/5? (a) -6/11 (b) 1 (c) -1/2 (d) -0.008 (e) -1/5 b Which is the nearest to -1? (a) -4 (b) 0 (c) 970 (d) -0.175 d What is the closest to -1/3 in -4/7, -12/47, -0.2, 69? -12/47 Which is the closest to -0.023? (a) -2 (b) -26 (c) -3/5 (d) -0.1 (e) -0.5 d What is the closest to 321 in -1, 3, -2/15, 1/3, 5? 5 What is the closest to -2/15 in 0.461, -3, -9? 0.461 What is the nearest to -0.244 in -17, -5, -0.1? -0.1 Which is the closest to -0.0227? (a) -0.2 (b) 3 (c) -5 a Which is the nearest to 0? (a) 0.144 (b) -2/11 (c) 1/16 c Which is the nearest to 1/5? (a) -15 (b) 63.6 (c) -2/7 (d) 1 (e) -2/3 c Which is the nearest to 85? (a) 70 (b) 2/5 (c) -1/3 (d) 0 a Which is the nearest to 968? (a) -5 (b) 0.3 (c) -0.4 (d) 1/8 b What is the closest to 4/5 in -2, -1/6, 0.01, -5/3, 4? 0.01 What is the closest to -19/107 in -1, -0.09, -0.3? -0.09 Which is the nearest to -226? (a) -2 (b) -0.5 (c) -0.1 (d) -8 d What is the closest to -3 in -1, 6, 2/7, 1306? -1 What is the nearest to 4.5 in -0.3, 0.055, -5? 0.055 What is the nearest to 2/9 in -1404, -3.4, -6/5? -6/5 Which is the closest to 0.001? (a) 0.1 (b) -0.2 (c) -566 (d) -3 (e) -0.3 a What is the closest to -4 in 4, -9, 7, -0.1? -0.1 Which is the closest to 0.1? (a) -1/7 (b) 2 (c) -5/6 (d) 0.72 (e) -4 a What is the closest to 1/13 in -1/2, 4, 36? -1/2 What is the closest to -0.1 in -1/9, 5, -2.1, -1, -490? -1/9 Which is the nearest to 1/2? (a) 341 (b) 7 (c) 5 c What is the closest to 2 in 0.08, 2/5, -49, -1/8, 5? 2/5 Which is the closest to 4? (a) 20/21 (b) 1.9 (c) 0.5 (d) -2 (e) 0 b Which is the nearest to -0.7? (a) 0.066 (b) 5 (c) 0.3 (d) -0.3 d Which is the closest to 1/3? (a) 2/9 (b) -4 (c) 0.2 (d) 1465 (e) -6 a What is the closest to -89 in -4, -3, 8/5? -4 What is the closest to 0 in 0, 343, 0.1, -4/91, 0.2? 0 Which is the closest to -18/11? (a) 91 (b) -2 (c) 0.15 b What is the closest to -6 in -14, 7, 0? 0 What is the nearest to -0.3 in 1635, -3, -25, -5? -3 Which is the nearest to -1/8? (a) 7 (b) 0.13 (c) -0.5 (d) 0.4 (e) 10 b What is the closest to 0.1 in 5, 587, -21/5? -21/5 Which is the nearest to 2? (a) 2 (b) -116 (c) 15/4 (d) 8 a What is the nearest to -1/3 in 0.39, -7, -0.1? -0.1 Which is the nearest to 10? (a) -4 (b) 0 (c) 2/3 (d) -13 c Which is the nearest to -64/15? (a) 3 (b) -9 (c) 140/11 b Which is the nearest to 1/4? (a) 0.403 (b) 1/3 (c) -148 b Which is the nearest to -923? (a) -0.2 (b) 0.5 (c) -3 (d) -4/7 c What is the nearest to -0.03 in -5, -6, 1, 0? 0 Which is the closest to -2? (a) 111004 (b) 1 (c) 0.3 c Which is the closest to -132? (a) -2 (b) 10 (c) -7 c Which is the nearest to -1? (a) 37 (b) 5 (c) 0.4 (d) 3 c What is the closest to -2.6 in 1, 1/4, 15, 3, 0.227? 0.227 Which is the closest to -1? (a) 1 (b) -2/7 (c) 82/35 (d) -4 b What is the closest to -571 in -1, 40, 2/7? -1 What is the closest to 0.1 in -4, 4.23, 57, -0.5? -0.5 What is the closest to 0.1 in 205, -0.11, -0.4, 0.3? 0.3 Which is the closest to -334? (a) 2 (b) 0.11 (c) -1/3 c Which is the closest to -2/11? (a) 90003 (b) 1/3 (c) 6 b Which is the nearest to 2? (a) 1/4 (b) 0.2 (c) -11 (d) 61 a Which is the nearest to 0? (a) 0 (b) -0.01 (c) -0.038 a Which is the closest to 33519? (a) -1 (b) 0 (c) -5 b Which is the closest to 8? (a) 2/9 (b) -0.09 (c) -3/7 (d) -4 (e) -2 a Which is the closest to 1? (a) 0.5 (b) 81.5 (c) 4 (d) 12 (e) -4 a Which is the nearest to 4/3? (a) 6 (b) -2 (c) 0 (d) -0.08 (e) 0.5 e What is the nearest to -0.029 in -1, -0.1, 5, 4, -2.1? -0.1 What is the closest to -1/2 in -0.1, 13.3, -1.6? -0.1 What is the closest to 1 in -0.77, 116, -2/3, -3/5? -3/5 What is the closest to -26 in -1/83, 0.5, -2.1, -5, -3? -5 What is the nearest to -1/2 in 1/3, 11.1, 1/18, 0? 0 What is the closest to 178 in -1, -2, -3/8, 0.5? 0.5 What is the nearest to 0.1 in -3, 23, 3.28? -3 Which is the closest to 0.1? (a) -0.09 (b) -2 (c) 5 (d) 0 (e) -0.2 d Which is the nearest to 6? (a) -0.1 (b) -2 (c) 0.09 c Which is the closest to 2/49? (a) 5 (b) -0.02 (c) 0.03 (d) 1/2 (e) -5 c Which is the nearest to -83? (a) 915 (b) 5 (c) 0.5 c What is the nearest to -2 in 0.2, -5, 0.382? 0.2 What is the closest to -1/8 in -1/85, -0.4, 0, -4/25, 1/3? -4/25 Which is the nearest to 0.1? (a) 0 (b) 1/2 (c) -8 (d) 0.4 (e) -3/40 a What is the closest to -133 in -1/5, -5, -11? -11 Which is the nearest to 1/111? (a) 0.3 (b) -45 (c) 6/17 (d) -3 a Which is the nearest to 3? (a) 18 (b) -36 (c) -49/3 a What is the closest to -16 in -3/13, 0.04, -3, -2/21, -2/35? -3 Which is the closest to -0.1? (a) -10.4 (b) 2/99 (c) -1/2 b What is the nearest to 5 in -2, -0.92, -0.1? -0.1 Which is the closest to 1? (a)
{ "pile_set_name": "DM Mathematics" }
wo letters picked without replacement from tljjjjdmmatmml. What is prob of sequence mj? 8/91 Calculate prob of sequence wwe when three letters picked without replacement from {w: 2, e: 15, j: 3}. 1/228 What is prob of sequence rxre when four letters picked without replacement from rxrrxrxrxxrxxxxxexx? 5/1292 Calculate prob of sequence cxcc when four letters picked without replacement from cxcc. 1/4 Four letters picked without replacement from bbbbqqbqbbb. Give prob of sequence bqqb. 7/165 What is prob of sequence xlgc when four letters picked without replacement from lllxlxgglclllbxbglg? 3/2584 What is prob of sequence znn when three letters picked without replacement from {r: 6, n: 2, u: 3, b: 2, z: 1, w: 1}? 1/1365 Calculate prob of sequence pq when two letters picked without replacement from {q: 3, p: 5, g: 3, d: 3, s: 4}. 5/102 Calculate prob of sequence hu when two letters picked without replacement from hlbbxhuz. 1/28 Calculate prob of sequence uu when two letters picked without replacement from {u: 6, j: 6}. 5/22 Three letters picked without replacement from {y: 7, s: 1, r: 2, a: 1, u: 2, m: 1}. Give prob of sequence uau. 1/1092 Calculate prob of sequence raae when four letters picked without replacement from {k: 1, e: 13, r: 1, s: 3, a: 2}. 13/58140 Calculate prob of sequence qhi when three letters picked without replacement from {r: 1, h: 5, q: 1, i: 5}. 5/264 Three letters picked without replacement from {m: 1, s: 2, t: 1, q: 1}. Give prob of sequence tss. 1/30 Calculate prob of sequence btw when three letters picked without replacement from {b: 6, w: 3, t: 1, h: 1, z: 1, l: 1}. 3/286 Two letters picked without replacement from {s: 4, c: 2, n: 1, g: 1, w: 1}. Give prob of sequence gs. 1/18 What is prob of sequence cc when two letters picked without replacement from mcpmmctm? 1/28 What is prob of sequence yxg when three letters picked without replacement from {g: 1, x: 1, y: 2}? 1/12 Two letters picked without replacement from bbbbbbbbibii. Give prob of sequence bi. 9/44 Four letters picked without replacement from {d: 2, l: 3, i: 1, o: 1, b: 4}. Give prob of sequence iddb. 1/990 Four letters picked without replacement from stvist. What is prob of sequence tist? 1/90 Four letters picked without replacement from {b: 3, r: 1, c: 4}. Give prob of sequence rccb. 3/140 What is prob of sequence ffyy when four letters picked without replacement from {f: 5, y: 3}? 1/14 Four letters picked without replacement from {p: 14, c: 4}. What is prob of sequence pppc? 91/765 What is prob of sequence pp when two letters picked without replacement from {d: 3, v: 1, p: 3}? 1/7 What is prob of sequence ctcc when four letters picked without replacement from {t: 5, c: 3}? 1/56 Calculate prob of sequence aana when four letters picked without replacement from {n: 4, a: 15}. 455/3876 Two letters picked without replacement from {w: 2, v: 1, j: 1, i: 1, z: 2, l: 1}. Give prob of sequence jl. 1/56 Calculate prob of sequence venn when four letters picked without replacement from {e: 1, n: 4, v: 1, g: 1, j: 1}. 1/140 Calculate prob of sequence dh when two letters picked without replacement from hdsssshsss. 1/45 Two letters picked without replacement from weewzwaezw. What is prob of sequence we? 2/15 What is prob of sequence yzp when three letters picked without replacement from pppzzpnpyypypppzpy? 5/204 What is prob of sequence wlx when three letters picked without replacement from wxxlwwxwwwlx? 2/55 What is prob of sequence oi when two letters picked without replacement from ioiiiiiioiiiioioiiii? 16/95 Calculate prob of sequence jj when two letters picked without replacement from {j: 3, o: 1}. 1/2 What is prob of sequence ee when two letters picked without replacement from {e: 4}? 1 Two letters picked without replacement from {g: 1, o: 1, s: 1, e: 1, b: 1, d: 2}. What is prob of sequence od? 1/21 Three letters picked without replacement from zixzxxxwxixzz. What is prob of sequence zzz? 2/143 Three letters picked without replacement from qbqbq. What is prob of sequence qqb? 1/5 Calculate prob of sequence ta when two letters picked without replacement from {r: 2, t: 1, e: 7, a: 7, n: 1}. 7/306 Calculate prob of sequence ggyy when four letters picked without replacement from ggggggyyyggygyggygy. 77/1292 Four letters picked without replacement from dydgyvdsgydwsdd. What is prob of sequence gdss? 1/1365 Three letters picked without replacement from {y: 2, b: 6}. Give prob of sequence ybb. 5/28 Four letters picked without replacement from wgwwwwwwwwwg. What is prob of sequence wwwg? 4/33 Calculate prob of sequence mmsm when four letters picked without replacement from {m: 3, s: 2}. 1/10 Two letters picked without replacement from {u: 2, s: 4, p: 2, c: 2, w: 2, n: 3}. Give prob of sequence wc. 2/105 Three letters picked without replacement from {k: 2, f: 6, t: 1, s: 2}. What is prob of sequence tfk? 2/165 What is prob of sequence xn when two letters picked without replacement from {x: 4, z: 8, n: 8}? 8/95 Three letters picked without replacement from {m: 8, q: 3}. What is prob of sequence qqm? 8/165 Calculate prob of sequence rrr when three letters picked without replacement from {w: 11, r: 9}. 7/95 Two letters picked without replacement from {k: 4, m: 6}. Give prob of sequence mm. 1/3 Three letters picked without replacement from xxuxhhpxhhpvxpp. What is prob of sequence xhh? 2/91 Two letters picked without replacement from lppip. What is prob of sequence il? 1/20 What is prob of sequence jj when two letters picked without replacement from {j: 10, r: 9}? 5/19 What is prob of sequence bs when two letters picked without replacement from {s: 7, b: 12}? 14/57 Calculate prob of sequence gj when two letters picked without replacement from {g: 3, t: 9, j: 4}. 1/20 Calculate prob of sequence qa when two letters picked without replacement from qwxaddwwdxddddddjddd. 1/380 Three letters picked without replacement from hjhhhhqhqhjwh. Give prob of sequence jhj. 4/429 Two letters picked without replacement from qllymlmlcmllmqqll. Give prob of sequence cl. 1/34 What is prob of sequence cddd when four letters picked without replacement from {c: 12, d: 6}? 1/51 Calculate prob of sequence tnw when three letters picked without replacement from {w: 3, e: 2, u: 5, n: 1, t: 6}. 3/680 Three letters picked without replacement from scffcfsfffffsff. What is prob of sequence scc? 1/455 What is prob of sequence lla when three letters picked without replacement from llal? 1/4 Four letters picked without replacement from tgkuijk. Give prob of sequence tkjk. 1/420 What is prob of sequence epf when three letters picked without replacement from {t: 1, f: 1, e: 1, p: 5, h: 2}? 1/144 Four letters picked without replacement from {e: 5, p: 8, i: 7}. Give prob of sequence piei. 14/969 Two letters picked without replacement from {y: 1, b: 1, i: 1}. Give prob of sequence yi. 1/6 Calculate prob of sequence zezr when four letters picked without replacement from {p: 2, e: 1, r: 1, f: 2, z: 6}. 1/396 Three letters picked without replacement from {z: 3, a: 3, n: 1, v: 2, m: 3, u: 1}. What is prob of sequence muu? 0 What is prob of sequence qh when two letters picked without replacement from {a: 11, q: 4, h: 1, m: 1}? 1/68 Calculate prob of sequence cp when two letters picked without replacement from cpccpcppcc. 4/15 Calculate prob of sequence vv when two letters picked without replacement from {g: 2, v: 1, k: 1, r: 2}. 0 Four letters picked without replacement from szzszs. Give prob of sequence zszs. 1/10 What is prob of sequence hhqq when four letters picked without replacement from {q: 6, h: 7}? 21/286 What is prob of sequence bc when two letters picked without replacement from {b: 3, c: 1}? 1/4 Two letters picked without replacement from {j: 2, e: 3}. Give prob of sequence jj. 1/10 Four letters picked without replacement from oddoood. What is prob of sequence dooo? 3/35 Two letters picked without replacement from {r: 7, u: 2, t: 4}. Give prob of sequence ut. 2/39 Three letters picked without replacement from {p: 1, q: 3, u: 6, b: 4, n: 1, t: 3}. Give prob of sequence tpu. 1/272 What is prob of sequence stt when three letters picked without replacement from tttskekteeetevtttek? 28/2907 Calculate prob of sequ
{ "pile_set_name": "DM Mathematics" }
uppose -4*b - 4*z + 44 = 0, -3*z + 11 - 2 = -b. Suppose -c + w = -7, 2*c - b*w = -2*w + 18. Solve -k - c = -6*k for k. 1 Let d = 10 + -5. Suppose -13 - 14 = -3*q. Let n = q - d. Solve 2*j + 4 = -n for j. -4 Suppose 12 = -r + 3*h + h, 3*r - h = -3. Solve r = p + 2*p for p. 0 Suppose 0 = 18*v + 39 - 75. Let n be (-8)/(-10)*(-50)/(-4). Solve 4*t = v*t + n for t. 5 Let d = 3 + 2. Let u be -1*(-2)/1 + 1. Solve -d - u = 4*h for h. -2 Let d(w) = w**2 + w + 2. Let n be d(-3). Solve 4*s - n*s = 0 for s. 0 Suppose -1 + 5 = -2*n. Let y = n + 5. Suppose -y = -v + 1. Solve -w + v = -5*w for w. -1 Let h be (-2)/4*-16 + -3. Solve -4 = -3*j + h for j. 3 Let p(r) = r**3 + 10*r**2 - 10*r - 2. Let h be p(-11). Let d = 15 + h. Solve -1 = d*o + 7 for o. -4 Let j be 9/(-81) + 92/18. Let g be (-1)/6 - (-2)/12. Solve g = -0*d - d + j for d. 5 Let z be 5 - ((-8)/(-4) + -4). Solve 6*a - 4 = z*a for a. -4 Let a(u) = -2*u - 1. Let k = -2 + -1. Let g be a(k). Solve -c = -g*c - 4 for c. -1 Let o be (22/4)/((-5)/(-10)). Solve 2*b = 1 - o for b. -5 Let x(q) = -q**2 + 9*q - 6. Let z be x(6). Suppose z*i = 10*i. Solve -2*a + 3*a + 3 = i for a. -3 Let l(t) = 2*t + 6. Let f be l(-3). Suppose -2*j + 8 = -f. Solve -12 = -j*n - 0 for n. 3 Let j(h) = h - 2. Let b be j(6). Solve 1 = b*l - 3 for l. 1 Let c(j) = j**2 - 3. Let w = 8 + -11. Let s be c(w). Let o = 18 + -13. Solve -o*d + 9 = -s for d. 3 Let r(l) = -l - 8. Let n be r(-6). Let i be n + (68 - 0) + -1. Suppose -5*z - i = -5*y, 4*y + 5*z = 105 - 26. Solve 2*h + 2*h = y for h. 4 Let s = -8 - -11. Let q(t) be the third derivative of t**5/30 - t**4/12 + t**3/2 - t**2. Let z be q(2). Solve -z = -4*y - s for y. 1 Let a = -86 + 90. Solve 7*i + a = 9*i for i. 2 Suppose 5*k + 10 = -2*v, v + k + 0 = 1. Suppose 2*n - 5*n = -60. Solve -y = -v*y - n for y. -5 Let x(a) = 7*a + 48. Let j be x(-6). Solve -2*o + 0*o = j for o. -3 Let v(c) = c**2 + 8*c + 2. Let j be v(-3). Let n = j + 20. Let i = n - 0. Solve -4*a = -i*a - 9 for a. -3 Let c(i) = 2*i**2 + 2*i**2 + 3*i - 5*i**2 + 2*i**2. Let g be c(-4). Suppose -g*s = -s. Solve s*f = 2*f + 6 for f. -3 Let c = -545 + 546. Let t(i) = i**2 + 2*i + 2. Let s(a) = -a**3 - 2*a**2 + 3*a - 2. Let r be s(-3). Let h be t(r). Solve -h*d + c = 3 for d. -1 Let y(s) = -s - 1. Let f be y(-1). Solve f = 3*c - 2*c for c. 0 Suppose 5*n + 21 = 3*h - h, -4*h + 5*n = -27. Suppose 4*p = h*o + 41, 7*o - 2*o - 25 = 0. Let y = p - 6. Solve 2*k = -2*k + y for k. 2 Suppose -3*g = -2*g. Let y be (2 - 0)/(g + 1). Solve y*p = 3*p - 5 for p. 5 Suppose 7*m - 25 = -3*c + 2*m, 4*m - 33 = -5*c. Solve -c*l - 8 = 2 for l. -2 Suppose -31 = -5*n + 4*a, -1 = n + 3*a - 2*a. Suppose t = -3*i - t + 3, n*i - 3 = -t. Let p be i + 7 - (4 + -2). Solve p*m - m = -25 for m. -5 Suppose 3*l = -5*k + 27, 5*k + 3*l - l = 28. Let o = 10 - k. Solve 6*q + o = 2*q for q. -1 Let d be -3*(-3)/(-6)*-2. Suppose -3*g = 5*a + 2*g - 20, -4*a = d*g - 14. Let x be (a/4)/(3/30). Solve 5 = -x*z + 15 for z. 2 Suppose 2*m - 11 = 3. Let i(n) = n**2 - 8*n + 10. Let w be i(m). Suppose -w*a = 2*a. Solve 0 = -a*u - u + 1 for u. 1 Let t = 5 - 3. Suppose -5*a = 3*s + 9, -t*a = s + 2*a + 10. Solve -s*g + 16 = 6 for g. 5 Suppose 0 = -v - 43 - 1. Let u be 2/(-5) + v/(-10). Solve -u*j + 1 = 21 for j. -5 Let b = 7 + -5. Solve -b*v + 0*v = -2 for v. 1 Let g = 4 + -1. Suppose -2*n - 5*q - 27 = 0, n + q + 3 = -6. Let m(r) = r**2 + 6*r. Let x be m(n). Solve x*w = w + g for w. -3 Suppose -4*t = 2*q + 20, -3*q + q + 5*t = 2. Let v = 8 + q. Solve -4*h - v = -6 for h. 1 Suppose -5*q = -27 + 7. Let a be (q/5)/((-2)/(-10)). Solve 0 = -a*n + 7 - 27 for n. -5 Let t = -71 + 74. Let z = 10 - 4. Solve 0 = -t*j + j + z for j. 3 Let u(v) = v + 11. Let k be u(-5). Solve -k = -3*t + 5*t for t. -3 Let j be ((-13)/(-13))/((-1)/(-2)). Solve -4 = -j*x - 2*x for x. 1 Let v(a) = 3*a + 8. Let k be v(5). Let b = k + -11. Solve -3*d - d = b for d. -3 Let l be 128/(-24) - 2/(-6). Let t be 0/(-2)*l/(-10). Solve t + 1 = k for k. 1 Let f = 26 - 24. Let z be 3 + (3 + 0 - 1). Solve -f = u - z for u. 3 Suppose 9 + 3 = -4*h. Let i = h - -3. Solve -4*t = -i*t + 20 for t. -5 Let m(p) = -p**3 - 2*p**2 + 17*p - 2. Let a be m(-5). Let x be (4/6)/(3/(-36)). Let i be (a - x)*1/(-2). Solve 10 = -i*l - 0 for l. -5 Let y = -5 - -9. Solve p + 15 = y*p for p. 5 Suppose 6*g = 56 + 4. Solve 0 = 5*m - g*m - 25 for m. -5 Suppose -36 = -5*p + 14. Let v = -4 - -9. Solve 0*q + p = v*q for q. 2 Suppose 0 = 3*u - 7*u - 8. Let a(w) = -3*w - 3. Let p be a(u). Suppose 0 = -p*f - f + 24. Solve f - 1 = j for j. 5 Let p(o) = 20*o**2 + 4*o - 1. Let c be p(-1). Solve c = -k - 4*k for k. -3 Let y = 24 + 1. Suppose 0 = 5*q + 4*m - y, -2 = 2*q + 4*m - 24. Suppose 0 = 2*w + 2*w - 16, -2*l - 2 = -3*w. Solve 2*r + l = q for r. -2 Suppose -29*n + 27*n = -2*h - 6, 4*n - 24 = -2*h. Solve -h = 5*i + 8 for i. -2 Suppose 2*p - 12 = p. Solve 2*q + p = -q for q. -4 Let l = 25 - 21. Solve z = -0*z + l for z. 4 Let y(u) = -u**2 - 5*u + 5. Let r be y(-5). Let q = -27 + 31. Suppose r*h - 23 = -q*k + 2, -2*h + 10 = -4*k. Solve -8 = -a + h*a for a. -2 Suppose -4*b - 7*m = -3*m, -20 = 5*m. Solve 25 = -d - b*d for d. -5 Suppose 0 = -22*t + 19*t + 24. Solve 0 = -a + 4 - t for a. -4 Suppose -b + 0 + 2 = 0. Let y = -2 + b. Suppose y = -3*w + w. Solve -4*q - 16 = -w*q for q. -4 Let i(f) = -2*f**2 - 3*f - 5. Let s be i(-2). Let y = s - -12. Solve 0 = 2*w - 3 + y for w. -1 Let a(y) = 5*y**2. Let h be a(1). Let d(c) = c**3 - 4*c**2 - 4*c - 2. Let p be d(h). Solve 0*q + 3 = -p*q for q. -1 Let t(h) = 23*h**2 - h. Let j be t(-1). Solve 5*p - 9 = -j for p. -3 Let r be (-7)/28 - ((-33)/(-12) - 3). Solve r = -2*k + 7*k for k. 0 Let h = -27 - -43. Let s be h/88 + 84/22. Solve 3*y + 1 = s for y. 1 Let u(q) = -q**3 + 15*q**2 + q - 11. Let s be u(15). Solve b = 3*b + s for b. -2 Let h(n) = 3*n + 3. Let f be h(-1). Solve f = 4*l - l for l. 0 Let u(a) = a**2 - 2*a + 1. Let b be u(2). Let h be ((70/8)/(-7))/((-1)/4). Let n = h - b. Solve n*g + 3 = -1 for g. -1 Let f be 1*4 + 2 + -1. Let i(a) = -a**2 + 7*a + 10. Let s be i(8). Solve -f*g + s = -3 for g. 1 Suppose -o = -5*u - 5, u = -4*o + 5*u + 20. Suppose 0*b = -o*b + 15. Solve 6*g = b*g - 9 for g. -3 Let p be 1148/84 + (-4)/(-3). Solve 3*s - p = -2*s for s. 3 Let v be (-14)/63 - (-47)/9. Suppose -v*a - 35 = -4*i, -5 = 4*i + 4*a - 13. Solve 6*t - t = i for t. 1 Let t be (-2 + 1)/(2/(-4)). Let v(j) = -4 + 0*j**2 + j**t + 1 + 2*j. Let k be v(-3). Solve k = 4*r - 16 for r. 4 Suppose -10 = -11*g + 6*g. Let s(r) = r**2 - 7*r + 7. Let w be s(6). Solve 0 = -3*x + g + w for x. 1 Let x = 63 - 60. Solve 4 = x*r - 2 for r. 2 Suppose -y + 2*t + 11 = 3, 6 = -2*t. Let m = 4 + 3. Suppose m*w - 40 = y*w. Solve w = 2*k - 4*k for k. -4 Suppose -s + 3*s = 10. Let f(h) = h**3 - 4*h**2 - 5*h + 1. Let c be f(s). Solve c + 2 = z for z. 3 Let v = 3 - 1. Solve b - v = 2 for b. 4 Let b = 8 - 11. Let p = b + 8. Solve 2*q + 3 = -p for q. -4 Suppose 3*x = x + 4. Solve 2*f = -x*f for f. 0 Suppose 0 = -3*t + 1 + 8. Let l = 12 + -5. Let z = l - t. Solve -o = -z*o + 3 for o. 1 Let w(n) = 2*n - 16. Let s be w(12). Solve s*v - 4*v = -20 for v. -5 Let x = 6 - -2. Let l = -5 + x. Solve 0 = -l*y - y for y. 0 Suppose -v + 2*c - 3 = 5, -3*c = v - 12. Solve -o + 4*o = v for o. 0 Let c be 1 + 10/(-5) - -4. Solve -9 - c = -3*q for q. 4 Let m(t) = -2*t**2 - 19*t + 33. Let c be m(-11). Solve -6*k + 2 - 14 = c for k. -2 Suppose 0 = -g - 0*g + 4. Solve i = g*i - 12 for i. 4 Suppose -17 = -5*n - 2*f, -3*f + 0*f - 22 = -2*n. Suppose h = 3*o + 3, 2*h + o - 8 + 9 = 0. Solve h*r + r - n = 0 for r. 5 Suppose 0*q = 5*q + 5*l + 5, 5*l + 9 = -3*q. Let p be (1 - q)*-1*2. Solve -p = a + 2 for a. -4 Let w = -4 - -7. Suppose 0*c = -5*c - 5*n + 35, 3*n = -c + 17. Solve c*j + w = -j for j. -1 Suppose 11 = 5*o + 1. Solve 0 = -0*b + o*b for b. 0 Let k be ((-2)/(-1))/((-4)/(-6)). Suppose -5*p + k = 2*l - 12, 2*l - 12 = -4*p. Suppose l = -r - r + 12. Solve 2*a - 4*a - r = 0 for a. -3 Suppose 3*q - 5*q - 20 = -4*f, q - 20 = -4*f. Suppose 2*i - 12 = -5*c, -5*c + 9 = -q*i - i. Solve 5*u = -9 - i for u. -2 Let u(c) = 3*c - 13. Let t be u(6). Suppose t*x + l = 2*x, 0 = x - 2*l - 7. Solve -x + 4 = -y for y. -3 Let u(q) = -q**2 - 6*q + 2. Suppose r = -0*r - 6. Let p be u(r). Solve 0 = -p*i - 5 - 5 f
{ "pile_set_name": "DM Mathematics" }
-15, 1, 214 in decreasing order. 214, 1, -15 Put -2, 4, 89 in decreasing order. 89, 4, -2 Sort 5, -2, -222, 1. -222, -2, 1, 5 Sort -2/3, -0.5, 2/33, 1, 0.4. -2/3, -0.5, 2/33, 0.4, 1 Put 11, -4, -2, 41, 0 in descending order. 41, 11, 0, -2, -4 Sort -1.8, -93, -0.3, -1 in decreasing order. -0.3, -1, -1.8, -93 Put 9, -7, 12 in decreasing order. 12, 9, -7 Sort -2/5, 1/149, -2 in ascending order. -2, -2/5, 1/149 Sort -1/4, 4, 1/19, -2, -37 in decreasing order. 4, 1/19, -1/4, -2, -37 Sort -3, 0, -302 in decreasing order. 0, -3, -302 Sort 2/7, 0.3, 16, 1. 2/7, 0.3, 1, 16 Put -2, -35, -1 in descending order. -1, -2, -35 Put -0.5, -0.4, -22 in decreasing order. -0.4, -0.5, -22 Sort -14, 21, 8 in decreasing order. 21, 8, -14 Put -7, -3/11, -5, 2 in descending order. 2, -3/11, -5, -7 Sort 5, 4, -2, 8. -2, 4, 5, 8 Sort 2/5, -0.03, -3, 4 in ascending order. -3, -0.03, 2/5, 4 Put 1, -6/11, -0.5 in ascending order. -6/11, -0.5, 1 Sort 12/11, -5, 7/16. -5, 7/16, 12/11 Sort -2, -32, -1 in decreasing order. -1, -2, -32 Sort 2, -11, 3, -9 in ascending order. -11, -9, 2, 3 Put 8, 3, -6, -5 in decreasing order. 8, 3, -5, -6 Sort -2, 2, 0 in descending order. 2, 0, -2 Sort 8, 2, -4.4 in descending order. 8, 2, -4.4 Sort -16, -17, -3 in decreasing order. -3, -16, -17 Sort 1, -18371, 2 in ascending order. -18371, 1, 2 Sort 0.4, -7, 17, 3, -1 in decreasing order. 17, 3, 0.4, -1, -7 Sort 1/3, -2/11, 3 in decreasing order. 3, 1/3, -2/11 Sort -156, -13, 0.3, -5. -156, -13, -5, 0.3 Sort -76, 1, -1. -76, -1, 1 Put -11, -1, -7 in descending order. -1, -7, -11 Sort -5, -9, -0.6, -1/11 in decreasing order. -1/11, -0.6, -5, -9 Sort 0.005, 1/3, -0.5. -0.5, 0.005, 1/3 Put -130, 0, -0.4 in descending order. 0, -0.4, -130 Put 0.1, -2, -17, -0.4 in descending order. 0.1, -0.4, -2, -17 Sort 10, 3, 2, -1 in descending order. 10, 3, 2, -1 Put -124, -2, 7, 5, -4 in increasing order. -124, -4, -2, 5, 7 Put -2/5, 3, 5, 0.4 in decreasing order. 5, 3, 0.4, -2/5 Put 4, -115, 16 in decreasing order. 16, 4, -115 Put 3, 6, 5, -1, -0.4 in descending order. 6, 5, 3, -0.4, -1 Put 0, -2, 5, 2, -67 in descending order. 5, 2, 0, -2, -67 Put 0.2, -1/5, -23, 3 in ascending order. -23, -1/5, 0.2, 3 Sort 1, -5, -21 in decreasing order. 1, -5, -21 Put 5, 18, -1/4, -4 in decreasing order. 18, 5, -1/4, -4 Sort -3, 0, 2/13, 10/13 in increasing order. -3, 0, 2/13, 10/13 Put -4, 2, -2, 325 in descending order. 325, 2, -2, -4 Sort 3, 5, 2, -36 in increasing order. -36, 2, 3, 5 Sort 1, -4, 5, 15, -3 in decreasing order. 15, 5, 1, -3, -4 Sort -5, 3, 1, 13855. -5, 1, 3, 13855 Put 0.2, 0.56, -17 in decreasing order. 0.56, 0.2, -17 Sort -37, -4, 0.1 in ascending order. -37, -4, 0.1 Sort -0.2, 2/23, -1/4, -6, -1 in decreasing order. 2/23, -0.2, -1/4, -1, -6 Sort -27, -2, -5 in increasing order. -27, -5, -2 Sort 8, 2/19, 0.4, 3/7 in descending order. 8, 3/7, 0.4, 2/19 Sort -2/9, 1.4, 4, 0.02 in descending order. 4, 1.4, 0.02, -2/9 Put -60, 2/431, 3 in decreasing order. 3, 2/431, -60 Put 7, -10, -3 in descending order. 7, -3, -10 Sort 4, 2047/4, -2/7 in increasing order. -2/7, 4, 2047/4 Sort 2, -14, -57. -57, -14, 2 Put 3, -8, 0, -2, -9 in ascending order. -9, -8, -2, 0, 3 Sort -2, -1857, -4 in decreasing order. -2, -4, -1857 Put 40/23, -0.5, -3, -2, 4 in increasing order. -3, -2, -0.5, 40/23, 4 Sort -4, -17, -0.06 in descending order. -0.06, -4, -17 Put 6, 5, 2, -4, -9 in decreasing order. 6, 5, 2, -4, -9 Sort -1/5, 0.4, -4.1, -0.6, 0. -4.1, -0.6, -1/5, 0, 0.4 Put -2, 3, 22, 5 in decreasing order. 22, 5, 3, -2 Put 0.6, 4, 2/61 in decreasing order. 4, 0.6, 2/61 Sort 0.2, -5/6, -4/11 in ascending order. -5/6, -4/11, 0.2 Sort 91, -6, 5 in decreasing order. 91, 5, -6 Sort 0.2, 0, 0.5, -18 in descending order. 0.5, 0.2, 0, -18 Put 11, -1, 6, 3 in ascending order. -1, 3, 6, 11 Sort -3, -1, -4, 18 in ascending order. -4, -3, -1, 18 Put -1, -3542, 0 in increasing order. -3542, -1, 0 Sort 11, -2, -5, -6. -6, -5, -2, 11 Sort -13/6, 5, 0 in decreasing order. 5, 0, -13/6 Sort 0, 46, -23, 2 in decreasing order. 46, 2, 0, -23 Put 27, 5, -5 in decreasing order. 27, 5, -5 Put 5, -3, -5, 17 in descending order. 17, 5, -3, -5 Put 2/7, -2/3, 0.4, 0.018, 0.5 in descending order. 0.5, 0.4, 2/7, 0.018, -2/3 Sort 6, -6, 0, -5, -1. -6, -5, -1, 0, 6 Put 0.4, 4/5, -63, 0.1, -4/7 in increasing order. -63, -4/7, 0.1, 0.4, 4/5 Sort -3, 2, -313 in ascending order. -313, -3, 2 Sort 7, 4, -4, -2 in descending order. 7, 4, -2, -4 Sort -3, -2, 2, -4, 28. -4, -3, -2, 2, 28 Sort 2, -7, -32 in descending order. 2, -7, -32 Sort -0.07, -6, 2/3, 3/4 in ascending order. -6, -0.07, 2/3, 3/4 Put 1, 95, -1 in decreasing order. 95, 1, -1 Sort -17.5, 1, 1/5 in ascending order. -17.5, 1/5, 1 Put 2/13, -0.11, 0.1 in descending order. 2/13, 0.1, -0.11 Put -8, -3, -0.3, 6 in decreasing order. 6, -0.3, -3, -8 Put -51, 4/3, 13 in decreasing order. 13, 4/3, -51 Sort 0, -32, -0.4, -0.2 in ascending order. -32, -0.4, -0.2, 0 Put 2/19, 6/13, -3/2 in decreasing order. 6/13, 2/19, -3/2 Sort -3, -2, 3 in ascending order. -3, -2, 3 Sort -96, 0, -0.2, 0.1. -96, -0.2, 0, 0.1 Sort -8, 1, -216, -4. -216, -8, -4, 1 Sort -13, 0.5, 4, -4 in decreasing order. 4, 0.5, -4, -13 Sort -2/11, 20/3, 3, 5. -2/11, 3, 5, 20/3 Sort 2, -1, 10020 in descending order. 10020, 2, -1 Put 32, 283, -2 in ascending order. -2, 32, 283 Sort 5, -86.8, 4/7. -86.8, 4/7, 5 Put 14, -0.5, 0, 2 in decreasing order. 14, 2, 0, -0.5 Sort 1/3, 24, -5, 3 in decreasing order. 24, 3, 1/3, -5 Sort 3, 15, 1 in decreasing order. 15, 3, 1 Sort 32, -7, -0.01 in descending order. 32, -0.01, -7 Put -8, -55, -10 in ascending order. -55, -10, -8 Sort -4, 26, -5, 5 in decreasing order. 26, 5, -4, -5 Sort -3, 11, 4. -3, 4, 11 Put -0.5, 3, 1, -24, -3 in descending order. 3, 1, -0.5, -3, -24 Sort 5, -1/7, -0.5, -0.2 in descending order. 5, -1/7, -0.2, -0.5 Sort 1, -1, 4, 7, -4 in increasing order. -4, -1, 1, 4, 7 Sort 986, 4, 5, 2, -3 in ascending order. -3, 2, 4, 5, 986 Sort -62, -5, 15 in descending order. 15, -5, -62 Sort 2, -27/8, 0.5, 1/3 in decreasing order. 2, 0.5, 1/3, -27/8 Put -5, -2, 35, -24 in descending order. 35, -2, -5, -24 Sort 20, 4, 0, 100, -1 in ascending order. -1, 0, 4, 20, 100 Sort -5, -2, -1, 0.4 in increasing order. -5, -2, -1, 0.4 Put 2/13, 0, -1, -86, -0.4 in decreasing order. 2/13, 0, -0.4, -1, -86 Sort 51, 4, 1 in decreasing order. 51, 4, 1 Sort -28, -1/4, -25, 0.2 in descending order. 0.2, -1/4, -25, -28 Sort 0, -3, 1/4, -7/2 in ascending order. -7/2, -3, 0, 1/4 Sort -5, -4, 242 in descending order. 242, -4, -5 Sort 4, -8/5, -0.4, -1/6 in decreasing order. 4, -1/6, -0.4, -8/5 Sort -2/9, 5, 128, 0.1. -2/9, 0.1, 5, 128 Put 10, 2, 0.2, 2/9 in decreasing order. 10, 2, 2/9, 0.2 Sort 1, 8, 0, -2. -2, 0, 1, 8 Sort 0, -5, -21. -21, -5, 0 Sort -13, -3, 3/7, 1/6 in increasing order. -13, -3, 1/6, 3/7 Put 0.3, 4/9, -0.5, -2.7 in increasing order. -2.7, -0.5, 0.3, 4/9 Put -5, 1, 5, -23, 3 in decreasing order. 5, 3, 1, -5, -23 Sort -4, -24, 3, 2, -25. -25, -24, -4, 2, 3 Put 5, -5, 0.2 in descending order. 5, 0.2, -5 Sort 6, -7, -5, 0. -7, -5, 0, 6 Put -7.4, -3, 2/9 in descending order. 2/9, -3, -7.4 Put 2, 0.5, 1281/5 in descending order. 1281/5, 2, 0.5 Put 3/2, -1/6, 0.1, -2, -194 in ascending order. -194, -2, -1/6, 0.1, 3/2 Put -3, -254, -4 in descending order. -3, -4, -254 Put -2, -5, 528 in ascending order. -5, -2, 528 Put 25, 5, -6 in descending order. 25, 5, -6 Sort 3, -3, 6. -3, 3, 6 Put -3, 8, -2, -1, -5 in increasing order. -5, -3, -2, -1, 8 Put -0.5, 2/7, -0.3, -5 in descending order. 2/7, -0.3, -0.5, -5 Sort 0, -620, -2. -620, -2, 0 Put -90, 0, 3 in descending order. 3, 0, -90 Sort -216, -2, -3, 0 in descending order. 0, -2, -3, -216 Sort -3/5, -2, 1/10, 1/7 in descending order. 1/7, 1/10, -3/5, -2 Sort 5, -3, -2/7, 0.5, -38 in descending order. 5, 0.5, -2/7, -3, -38 Put 5/6, 181, -3/4 in increasing order. -3/4, 5/6, 181 Put -0.04, -3, -1.1, 2/5 in increasing order. -3, -1.1, -0.04, 2/5 Put 3, 0, -3043, -5 in increasing order. -3043, -5, 0, 3 Sort -4, -31, 0, 1 in increasing order. -31, -4, 0, 1 Sort -1, 4, 1/2, 0.2 in descending order. 4, 1/2, 0.2, -1 Sort 4, 2, -2. -2, 2, 4 Put -168, 13, -4 in decreasing order. 13, -4, -168 Sort -98, -5, 0 in descending order. 0, -5, -98 Put -5, 1, -44, -4 in desce
{ "pile_set_name": "DM Mathematics" }
+ 0)*(74*w - 8*w**2 - 74*w) to the form o*w + p*w**2 + k and give p. -264 Rearrange -43*r**2 - 1 - 2*r**4 + 7*r**4 - r**4 + 649*r - 647*r - 92*r**2 to the form z*r + q*r**3 + x + f*r**2 + j*r**4 and give x. -1 Express 2*f + 10*f**2 + 0*f**4 - 10*f**2 + 4*f**3 - 53 + 2*f**4 + 37 as g + c*f**3 + p*f**4 + l*f**2 + h*f and give p. 2 Express 0*h**3 - 18*h**3 + 18*h**3 - 12*h**3 + 7*h**2 as w*h + l*h**3 + j + a*h**2 and give a. 7 Express 1 + 97*v - 45*v + 24*v + 3*v + 3*v - 5*v + (-3 + 8 - 3)*(2 - 2 - 2*v) - 5*v + 2*v + 4*v - v - v + 0*v - v - 5*v + 4*v + v - v - v as l + h*v and give h. 69 Rearrange 223*x - 84*x**2 - 223*x + (-1 + 1 + 2*x)*(2 - 2 - x) - 5*x + 5*x**2 + 5*x to q*x + z + c*x**2 and give z. 0 Express -101*l**2 + 8 - 5 + 85*l**2 in the form k*l**2 + w*l + g and give k. -16 Express -254*o - 221*o - 310*o + 10*o - 314*o as q + s*o and give s. -1089 Express -2*u**4 + 152*u - 152*u + (-10 - 2*u**3 + 10)*(-2*u + u - u) as h*u**2 + i*u**3 + c*u**4 + p*u + n and give c. 2 Express -1091*t + 35 - t**2 + 1091*t as w + x*t + u*t**2 and give w. 35 Express -218*s**2 + s**4 + 200*s**2 + 4*s - 3*s**3 + s**4 + s**3 in the form y*s**3 + c + k*s + r*s**4 + x*s**2 and give r. 2 Rearrange -4*c**2 + 337*c**3 + 16 - 677*c**3 - 3*c + 339*c**3 to s*c**3 + v + a*c**2 + q*c and give q. -3 Rearrange 2*x**2 + x**2 + 13*x**2 - 5*x + 7*x**4 - 35*x**2 + 3*x**2 to the form k*x**2 + f*x + v + l*x**4 + o*x**3 and give l. 7 Express (1641 + 382 - 2328 - 1500 - 2667)*(-4 + g**3 + 4) in the form c + k*g**2 + m*g**3 + w*g and give m. -4472 Express (6 + 43 - 9)*(0 + z + 0) - 2 + 2*z + 2 + (0 + 4 - 2)*(0*z + 6*z - 4*z) + 4 + z - 4 as x + f*z and give f. 47 Express -4*q**3 - 4 + 114*q**3 - 33*q**3 + 86*q**3 + 2 + 2*q**2 in the form g*q**2 + c*q + x*q**3 + h and give x. 163 Rearrange (-5 - 3 - 1)*(l**2 - 7*l**2 + 3*l**2)*(-4 + 8 + 2) to r*l + j*l**2 + n and give j. 162 Rearrange 24 + 2*q**2 - 47*q - 7*q**2 - 31*q - 24 to the form d + v*q + l*q**2 and give l. -5 Rearrange (-204 - 223 + 427 + 421*y)*(4 - 4 + 2) to h*y + w and give h. 842 Express (c**2 - 4*c + 4*c)*(-108*c - 212 + 212) - 4*c**3 + 6*c**2 + 5*c**3 - 2*c**3 as l*c**2 + q + v*c**3 + u*c and give l. 6 Rearrange 0*s**3 - 2*s**4 - 2*s**2 - 9*s**3 + 2*s**3 - 2*s**2 - 4*s**2 to q*s + w + p*s**4 + m*s**3 + d*s**2 and give m. -7 Rearrange f - 121*f**4 + 95 + 371*f**4 - 125*f**4 + 3*f**3 - 124*f**4 to the form p*f**3 + i + b*f + z*f**4 + q*f**2 and give p. 3 Express -11233*x**4 + 3 - x**2 + 11251*x**4 + 2 as j + v*x**4 + t*x**3 + u*x + s*x**2 and give s. -1 Rearrange 3*q**3 - 6*q**3 + 4*q**3 + 6 - 15*q**4 + 7*q**2 - 8 to the form g*q + z + p*q**4 + c*q**2 + l*q**3 and give p. -15 Express (22 + 51 + 95)*(2*j + 1 - 1) - 1 + j + 1 as k + s*j and give s. 337 Express -24*l**3 + 64*l**2 + 79*l**3 - 15*l**3 - 24*l**3 - 18*l**3 in the form j*l**3 + d + y*l**2 + u*l and give j. -2 Rearrange (-19*z - 3 + 11*z + 11*z)*(-159*z**3 - 110*z**3 + 40*z**3) to the form y*z + w*z**4 + t*z**2 + r*z**3 + u and give w. -687 Express (-1 + 0 + 5)*(f + 16*f + 140 - 141)*(0*f - 3*f + 5*f) as h + b*f + t*f**2 and give t. 136 Express (-r - r + 4*r)*(85 - 119 - 565)*(-2 + 0 + 0) in the form n*r + h and give n. 2396 Rearrange (-2 + q + 1 + q)*(-8*q**2 - 14*q**2 + 12*q**2) + (0*q + 0*q - q**2)*(-2*q - q + 0*q) to the form m + v*q**3 + h*q + c*q**2 and give v. -17 Express (7*i**2 + 13 + 11183*i - 11183*i)*(-i**2 + 5*i**2 + i**2) as f*i**2 + m*i + t*i**4 + v + a*i**3 and give f. 65 Rearrange -21180 + 636*d + 21179 - 237*d + (3 + 1 - 1)*(2*d - 3*d + 0*d) to o + r*d and give o. -1 Rearrange -2*d**2 + 8*d + 55 - 668*d**4 - 9*d + 670*d**4 to the form m*d**3 + y*d**2 + j + z*d + l*d**4 and give l. 2 Express (-m - 5*m + 4*m)*(708 - 32 + 1106 + 21 + 820) in the form o + s*m and give s. -5246 Rearrange (4 - 2 - 1 + 2 + 3 - 3 + (3 - 1 - 5)*(-2 + 3 - 3))*(15*z - 15*z + 6*z**4 - 7*z) to i*z**3 + o*z + y + c*z**4 + d*z**2 and give c. 54 Rearrange -5*v**4 - 155*v**3 + 5 - 2*v**4 + 3*v**4 + 156*v**3 + 2*v**2 to the form s*v**4 + q*v + g*v**2 + f + j*v**3 and give j. 1 Express (-3 + 0 + 4)*(-1 - 3*n + 1) + 35 + 6*n - 35 in the form y + w*n and give w. 3 Rearrange 1 - 23 + 3*r - 6 - 5 to the form k + y*r and give k. -33 Rearrange 49 - 49 + w**2 + 3*w - 37*w**4 to the form p*w**3 + s*w**2 + u*w**4 + d*w + a and give p. 0 Rearrange -13*k + 1 - 3*k + 7*k + 5*k + 10*k to the form h + y*k and give h. 1 Rearrange -33*u**4 + 2 - 114*u**3 + 111*u**3 + 48*u**4 to the form j*u**2 + o*u + n*u**3 + b + d*u**4 and give n. -3 Rearrange 7*y**3 - 9*y**3 - 8*y**3 + (-4 + 10 + 1)*(-3*y**3 + 4*y**2 + 7*y**3 - 2*y**2) to the form u*y + c*y**3 + w + h*y**2 and give h. 14 Express (-2*y**2 - 2*y**2 + 5*y**2)*(-2*y - 4 + 4) + 627 + 30*y**3 - 627 in the form x + b*y**3 + g*y + c*y**2 and give c. 0 Express 10 - 10 - 8*v**3 + 63*v**3 - 70*v**3 + 122*v**3 + (-3*v**3 + 5*v**3 - 3*v**3)*(-2 + 0 + 1) in the form i + t*v + n*v**3 + u*v**2 and give n. 108 Rearrange (10 + 5 - 6)*(2*n**2 + n**2 - 2*n**2) + 3*n**2 - 30*n**2 + 3*n**2 to y + c*n + h*n**2 and give h. -15 Rearrange -11 + 166*j + 10 + 1 to the form a*j + v and give a. 166 Rearrange -48*f + 130*f + 2 - 3*f**2 + 361*f + 5*f**2 to l + s*f**2 + v*f and give l. 2 Rearrange (4 - 4 + 3)*(t + 0*t + 0*t + (-3 + 3 + 1)*(-2 - 2*t + 2) + 3*t - 4*t - t) to o*t + s and give o. -9 Express (0*p + 2*p + 0*p + (0 + 3 - 5)*(-p - 4*p + 4*p))*(6340*p - 119 + 234 - 115) in the form q + w*p**2 + i*p and give w. 25360 Rearrange 1796*y**2 + 718*y**2 - 625*y**2 to the form p*y + i*y**2 + g and give i. 1889 Express (4966 - 3*v + 5*v + 4729 - 10035)*(-2 + 0 + 0) as d + w*v and give w. -4 Express (3 - 3 + g)*(-102*g + 34*g + 30*g) in the form r + t*g**2 + f*g and give t. -38 Rearrange 2*m**3 + 0 + 0 + (2*m**2 - m + m)*(2009 + 129*m - 2009) - 2*m**3 + 2 - 2 to the form c*m**2 + j + k*m + n*m**3 and give n. 258 Express (-3 + 0 + 6)*(-1 - 2*v + 1)*(-7 + 6 + 3)*((1 - 4 + 5)*(-2 + 1 - 1) + 6 - 1 - 3 + (-9 + 29 + 19)*(-1 + 2 - 2)) as r*v + u and give r. 492 Rearrange (2*j + 0 + 0 + 2*j**2)*(234*j + 125*j - 173*j + (-4 + 3 + 2)*(-2*j + j + 0*j)) to z*j**2 + q*j**3 + i*j + c and give z. 370 Express (0 + 0 - 2*i)*(37 - 15 + 49)*(1 - 1 + i) as t + w*i**2 + x*i and give w. -142 Express (-33*f**3 - 49*f**3 - f**3)*(-1 + 0 - 1) + (0 - 2*f**3 + 0)*(1 - 2 - 1) + f**3 + 0*f**2 + 0*f**2 in the form l*f**3 + w*f**2 + o + s*f and give l. 171 Rearrange -1037*o**2 + 0*o**3 + 2*o**4 - 37 + o**3 + 1035*o**2 to the form b*o + a*o**3 + x*o**2 + u + k*o**4 and give u. -37 Rearrange 309*m**3 + 7 + 116*m**3 + 0 - 8 - 107*m**3 to u*m**3 + h*m + z*m**2 + c and give u. 318 Express -5*a**3 - 1 + 3*a**3 - a**2 + 4*a**3 as v*a**3 + n*a**2 + x + i*a and give n. -1 Express -52 + 51 + 80*d - 419*d - 6*d in the form a + n*d and give n. -345 Rearrange (166*a - 89*a - 83*a)*(-a**3 + 3*a**3 - a**3) - 1 + 1 + a**4 to j*a + p*a**2 + v + t*a**4 + f*a**3 and give t. -5 Rearrange ((1 + 0 - 3)*(5 - 3 - 1) + 0 - 2 + 1 + 4 - 7 + 2)*(-3*m**3 - 5 + 5) to the form l*m**3 + k*m + n*m**2 + r and give n. 0 Rearrange 10 - 2 + 28*h**3 + 18*h**3 - 3*h - 6 - 1 to the form i*h**2 + b + x*h + k*h**3 and give i. 0 Express -610 - 50 - x**2 + 202 + 102 as k*x + q + d*x**2 and give d. -1 Rearrange 1563*i**2 - 784465*i + 412*i**2 + 784465*i to v*i + h + t*i**2 and give t. 1975 Express (0*z + 9*z**3 + 0*z - z)*(56*z - 87*z - 70*z - 132*z) as t*z**2 + b*z + j*z**4 + v*z**3 + f and give j. -2097 Express a**3 - 16*a**2 + 8*a + a**4 - 8*a - 2*a**4 + 2*a - a**4 as j + q*a + r*a**3 + k*a**2 + b*a**4 and give q. 2 Rearrange (-2*g + 2*g + 2*g**3 - g)*(4 - 3 + 4) to the form q*g**2 + i*g + d*g**3 + v and give i. -5 Express (-12*y - 7*y + 6*y)*(-5 + 1 + 3) + 0 - 2*y + 0 + 4*y - 4*y - 5*y + (-4*y + 4*y + 3*y)*(0 + 4 - 2) as t*y + q and give t. 12 Express (1 - 2 - 2 + (2 - 1 - 3)*(2 - 4 + 1) - 23 - 10 + 11)*(0*k + 3*k + k) as h*k + o and give h. -92 Rearrange -2*w + 2*w**3 - 17 + 502*w**2 - 252*w**2 - 250*w**2 to the form q*w + m*w**3 + c*w**2 + x and give m. 2 Rearrange (21*o**3 + 23*o**3 - 11*o**3)*(0*o - 2*o + 3*o) + o**4 - 6*o**4 + 3*o**4 to r*o + g*o**4 + h*o**2 + y + j*o**3 and give g. 31 Rearrange 4 + 1792*y**2 - 645*y**2 - 12 + 8 to x*y + g + f*y**2 and give f. 1147 Rearrange (-12*r - 5*r + 5*r)*(-2*r - 16 + 46 - 18 - 23) to k*r + s + a*r**2
{ "pile_set_name": "DM Mathematics" }
z when three letters picked without replacement from yzzus. 1/30 Three letters picked without replacement from rrrcecercev. What is prob of sequence vec? 1/110 Three letters picked without replacement from nbobdbbsssbsb. What is prob of sequence ons? 1/429 What is prob of sequence cqc when three letters picked without replacement from {c: 6, t: 2, q: 11}? 55/969 What is prob of sequence wxmu when four letters picked without replacement from kxzmzwu? 1/840 Calculate prob of sequence jh when two letters picked without replacement from {j: 3, h: 5, u: 1, q: 6}. 1/14 What is prob of sequence zvv when three letters picked without replacement from {v: 14, z: 5}? 455/2907 Three letters picked without replacement from {x: 1, n: 4, h: 2, f: 2}. Give prob of sequence nfn. 1/21 Four letters picked without replacement from {i: 3, j: 4, f: 4, y: 1, n: 2}. What is prob of sequence fiij? 4/1001 Three letters picked without replacement from {q: 2, k: 2}. Give prob of sequence kkq. 1/6 Two letters picked without replacement from hjjjjccchjhjchhj. Give prob of sequence cj. 7/60 Four letters picked without replacement from ttqqhqthsqhsti. Give prob of sequence qths. 4/1001 Three letters picked without replacement from dddmwxmdxdmwwds. What is prob of sequence www? 1/455 Four letters picked without replacement from {a: 1, l: 1, e: 4, p: 6, o: 3}. Give prob of sequence papo. 1/364 Three letters picked without replacement from {o: 5, h: 1, m: 4, e: 5, k: 1, u: 1}. What is prob of sequence oko? 1/204 What is prob of sequence nw when two letters picked without replacement from wwwnnnwnnwwwwwnnnnn? 5/19 Three letters picked without replacement from jmnjjjnjnnmjnjcv. What is prob of sequence cjm? 1/240 What is prob of sequence xxyx when four letters picked without replacement from {x: 9, y: 3}? 7/55 What is prob of sequence aax when three letters picked without replacement from aaxax? 1/5 Four letters picked without replacement from {x: 1, w: 10, h: 5, t: 1}. Give prob of sequence wxth. 5/5712 Two letters picked without replacement from kyuqudqd. Give prob of sequence ku. 1/28 What is prob of sequence eorr when four letters picked without replacement from {v: 3, e: 1, o: 2, y: 1, r: 4}? 1/330 Four letters picked without replacement from uitpptv. Give prob of sequence uvip. 1/420 What is prob of sequence vs when two letters picked without replacement from bvuyusb? 1/42 Calculate prob of sequence cx when two letters picked without replacement from cxx. 1/3 Calculate prob of sequence zzzz when four letters picked without replacement from {f: 13, z: 6}. 5/1292 What is prob of sequence baf when three letters picked without replacement from {k: 4, b: 2, a: 2, m: 6, f: 1}? 2/1365 Two letters picked without replacement from {m: 3, p: 1, w: 3, s: 1, y: 3, u: 2}. Give prob of sequence mp. 1/52 Two letters picked without replacement from {y: 2, h: 1, g: 1, n: 1}. What is prob of sequence hg? 1/20 Calculate prob of sequence ppdd when four letters picked without replacement from dxddddpdvpdxdddddvd. 13/3876 Three letters picked without replacement from {d: 4, o: 3, t: 1, j: 1, v: 2}. What is prob of sequence vtj? 1/495 What is prob of sequence kt when two letters picked without replacement from ffzktftlfgflfffffkg? 2/171 Two letters picked without replacement from ghppohog. Give prob of sequence gg. 1/28 What is prob of sequence ec when two letters picked without replacement from eecceee? 5/21 Three letters picked without replacement from kdhuzhp. Give prob of sequence kpz. 1/210 Two letters picked without replacement from {r: 19, a: 1}. Give prob of sequence ar. 1/20 Calculate prob of sequence jj when two letters picked without replacement from jaaajjajajjjj. 14/39 Two letters picked without replacement from {b: 2, i: 1, r: 1, u: 4, l: 10}. Give prob of sequence bl. 10/153 What is prob of sequence nia when three letters picked without replacement from aahtnnij? 1/84 Two letters picked without replacement from ngvrroxorrogggrgg. What is prob of sequence rx? 5/272 Calculate prob of sequence rrrj when four letters picked without replacement from {r: 4, j: 14}. 7/1530 Calculate prob of sequence cbm when three letters picked without replacement from ttmcttmmttvttcbtmc. 1/408 Calculate prob of sequence iqi when three letters picked without replacement from iiiqqiqliiliilqi. 3/35 Three letters picked without replacement from sipgi. Give prob of sequence iip. 1/30 Two letters picked without replacement from {r: 2, u: 3, k: 7}. What is prob of sequence kr? 7/66 What is prob of sequence gw when two letters picked without replacement from {g: 7, w: 2, v: 6}? 1/15 Two letters picked without replacement from {t: 1, r: 1, c: 4, y: 3, a: 2}. What is prob of sequence tc? 2/55 Calculate prob of sequence uu when two letters picked without replacement from {u: 7, p: 5, h: 1}. 7/26 Two letters picked without replacement from mkmkkkk. What is prob of sequence km? 5/21 What is prob of sequence bjbj when four letters picked without replacement from bbbjljjjjlljlblbllj? 35/3876 Calculate prob of sequence anns when four letters picked without replacement from {s: 1, n: 5, a: 5, l: 1}. 5/594 What is prob of sequence ccjf when four letters picked without replacement from {u: 3, d: 3, f: 3, c: 2, j: 2}? 1/1430 What is prob of sequence pq when two letters picked without replacement from hggqhphgghgpggggg? 1/136 What is prob of sequence wwww when four letters picked without replacement from wwwwwwwwww? 1 Three letters picked without replacement from cunn. Give prob of sequence cnu. 1/12 Two letters picked without replacement from qegxxiq. What is prob of sequence qx? 2/21 Calculate prob of sequence vvvv when four letters picked without replacement from {v: 5}. 1 Two letters picked without replacement from {e: 6, y: 2, g: 10}. What is prob of sequence ee? 5/51 What is prob of sequence ll when two letters picked without replacement from {b: 1, y: 12, h: 1, l: 5}? 10/171 What is prob of sequence bttb when four letters picked without replacement from {b: 9, t: 9}? 6/85 Two letters picked without replacement from {o: 6, s: 1, n: 3, v: 3}. What is prob of sequence ov? 3/26 What is prob of sequence vh when two letters picked without replacement from {v: 2, h: 4}? 4/15 Three letters picked without replacement from {o: 2, m: 4, f: 1, c: 3}. Give prob of sequence mcc. 1/30 What is prob of sequence wq when two letters picked without replacement from {p: 2, t: 1, d: 2, c: 1, w: 2, q: 1}? 1/36 Two letters picked without replacement from {q: 1, e: 2, i: 1, s: 7, v: 2, z: 2}. What is prob of sequence sz? 1/15 Three letters picked without replacement from hyhymyymm. What is prob of sequence yhm? 1/21 Calculate prob of sequence zsb when three letters picked without replacement from {l: 4, b: 7, z: 1, h: 4, s: 3}. 7/1938 Two letters picked without replacement from {e: 2, f: 2, r: 1}. What is prob of sequence fr? 1/10 What is prob of sequence ue when two letters picked without replacement from {e: 4, k: 7, u: 6}? 3/34 Two letters picked without replacement from kbaak. Give prob of sequence ab. 1/10 What is prob of sequence pw when two letters picked without replacement from ppw? 1/3 Two letters picked without replacement from bzbxxbzkb. What is prob of sequence xx? 1/36 What is prob of sequence lc when two letters picked without replacement from {l: 1, c: 3, h: 3}? 1/14 Three letters picked without replacement from {p: 6, b: 9, c: 2}. Give prob of sequence ppc. 1/68 Three letters picked without replacement from ssrywpb. What is prob of sequence wby? 1/210 Two letters picked without replacement from iiwvwr. Give prob of sequence wr. 1/15 Calculate prob of sequence pbh when three letters picked without replacement from {p: 1, h: 3, b: 3, m: 1, j: 2}. 1/80 Four letters picked without replacement from lllllldfldpllf. What is prob of sequence dfll? 12/1001 Two letters picked without replacement from {q: 1, o: 3, j: 6, a: 1, u: 6, k: 1}. Give prob of sequence ak. 1/306 Three letters picked without replacement from bjbubujujbb. What is prob of sequence juj? 1/55 What is prob of sequence dwq when three letters picked without replacement from nqnddddwddnddnnqqqq? 20/2907 Calculate prob of sequence qqc when three letters picked witho
{ "pile_set_name": "DM Mathematics" }
er? True Suppose 0 = -12*c + 16*c + 3*p - 517, -5*c + 651 = -p. Suppose 124*a = c*a - 31566. Is a composite? False Let o = 4205 - 7137. Is (-51)/(-34)*o/(-3) prime? False Suppose 231*r + 3*h = 233*r - 1509700, r = 2*h + 754847. Is r a composite number? True Suppose -3*a + 134 = -4*a - 4*u, -594 = 5*a + u. Suppose -d - 407 = -2*w, -5*w + 3*w - 4*d = -402. Let p = a + w. Is p a composite number? True Is ((-18)/(-27))/((-3)/428*16/(-28422)) a composite number? True Let w be (-2)/(-5)*(-1 - 9). Suppose -25*d = -30*d. Is (-1901)/w*(d + 4) prime? True Is -266902*42/(-180) - (4/(-15))/(-2) a prime number? False Let s(n) = -n**3 - 22*n**2 - 45*n + 43. Is s(-25) composite? True Let o be (-1 - -2)/((-1)/(-2)). Let q(d) = -101*d + 707. Let x be q(7). Suppose -o*w + w + 331 = x. Is w composite? False Let h(l) = 21*l - 36*l + 14*l - 1. Let t(u) = 89*u + 4. Let n(x) = -3*h(x) + t(x). Is n(8) a composite number? False Suppose -5*k = 4*k - 261140 - 164587. Is k a composite number? False Let l(c) = -c**3 + 14*c**2 + 16*c - 9. Let t be l(15). Suppose t = -10*z + 36. Suppose -z*v = 3*v - 786. Is v a prime number? True Suppose 234*a - 231*a = 1596. Suppose -5*y + 285 = -1440. Let m = y + a. Is m composite? False Let b be (-3)/7 - 208/(-28). Suppose 0 = -20*l + b*l. Suppose 4*u - 264 - 1660 = l. Is u prime? False Is 26854043/23 + (-134)/1541 a composite number? True Suppose -9*m + 24 = -m. Suppose -m*k = -6*k + 1830. Let h = k + 109. Is h prime? True Suppose -1071*a + 1104*a = 378642. Is a a composite number? True Suppose 12*l + 67968 = 281676. Suppose l = 3*d + 4*c, 2*d - c = 7615 + 4265. Is d a composite number? False Let d(t) = t + 1. Let j(z) = 1054*z - 1. Let w(p) = 6*d(p) + j(p). Is w(5) composite? True Let a = -10902 + 99929. Is a a prime number? False Suppose -4*a - 515*l + 516*l = -71822, -3*l = -5*a + 89767. Is a composite? False Let w(m) = -68 - 99 - 9*m + 10*m - 242 + m**2. Let a be w(0). Let x = a - -712. Is x a prime number? False Suppose 15*i = 13*i + b + 4, -i - 5 = 3*b. Is ((-2)/(-1) - i)*(23 + 3386) a prime number? False Suppose -29*a - 165 = -26*a. Let h = 58 + a. Suppose -h*l = -7*l + 1172. Is l prime? True Let n(z) = 7349*z**2 + 347*z + 1387. Is n(-4) prime? False Let c(o) = 2*o**3 - 20*o**2 + 517*o + 196. Is c(103) a composite number? False Let y(l) = -62*l**3 + 2*l**2 + 4*l + 5. Let n = -215 + 211. Is y(n) composite? False Let d(r) = 49*r + 38*r**2 - 40*r**2 - 2 + 12 + 3*r. Is d(18) a composite number? True Let d(y) = 262*y + 9. Let j be d(7). Let z = j + -776. Suppose -15*i = -14*i - z. Is i prime? False Let n be (-189084)/(-8)*14/21 - 5. Suppose -3*x + 28648 = 2*u, -1421 = u + 5*x - n. Is u a composite number? False Suppose 0 = -b - 6*b + 49. Let y be (-23)/2*(b + 79)*-5. Suppose a = -3*m + y, 2*m - 4957 = -m + 5*a. Is m prime? False Let i be -1766*7/7*(-4 + 3). Let w = 1381 + i. Is w composite? True Suppose -13*a + 105 + 51 = 0. Let p be 18892/a + (-4)/12. Is (p/4)/(2 - (-9)/(-6)) prime? True Let b = 0 + 4. Let y(c) = c - 6*c - b + 71*c**2 + 7*c. Is y(3) a prime number? True Let h be (23704/12 + 6)*45/12. Suppose -4*y + h = 2*m, -2*m - 18570 = -7*m - 5*y. Is m a composite number? True Suppose -93*d - 286065 = -108*d. Let t = d + -11320. Is t composite? True Suppose 3 = y + 4*f, 0*y + 9 = 3*y + 2*f. Suppose y*m - 494 - 145 = 0. Suppose 0 = g - m - 50. Is g a composite number? False Let f be (12/(-9))/((-4)/(-12)). Let r be f/(60/(-9)) + 7/5. Suppose -r*a + 5*d + 522 = 0, -a + 255 = -0*a - d. Is a a composite number? False Let z = -196 - -201. Suppose -5*q = -4*u + 35632, -z*u + 3*q + 8915 = -4*u. Is u prime? False Suppose 0 = 7*l - 15413 - 34777. Suppose -2*c + 4*g = 8*g - l, -7198 = -2*c + 3*g. Is c a composite number? False Let y(q) be the second derivative of q**5/5 - 35*q**4/12 + 25*q**3/6 + 5*q**2/2 + 5*q. Is y(14) a prime number? False Suppose -1662 = 6*x - 7*x. Suppose -37*h = -35*h - x. Is h a composite number? True Let r be (-1 + -3)/(4/(-2)). Let x be (r/(2 + 0))/((-2)/(-8)). Suppose -98 - 810 = -k - u, -4*u + x = 0. Is k a composite number? False Let g(z) = -z**3 + 28*z**2 - 13*z + 47. Suppose -2*y - 105 = -3*m, 4*y - 145 = -4*m - 25. Suppose -3*q = -3*b + 78, -4*q + m - 7 = b. Is g(b) composite? False Suppose 8 + 2 = -2*h, h = 4*c - 5. Suppose r + 3 - 7 = c. Is (-1*6/r)/(4/(-2008)) a prime number? False Suppose -y = 2*g - 4*g - 10, 34 = 2*y + 3*g. Suppose -a - y = a + 4*f, 0 = -a - f - 2. Suppose v - 2891 = -a*j + 242, -j - v + 1047 = 0. Is j composite? True Let n be (7 - 6)/((-3)/(-585)). Is n/6 + 6 + 2/(-4) prime? False Let b(m) = 2114*m + 4457. Is b(31) a prime number? True Suppose -35*p + 1258657 + 1198659 = -1338049. Is p prime? True Suppose -4*i + 24 = -i. Suppose 112*l - 451 + 115 = 0. Suppose i*c = l*c + 2915. Is c composite? True Let v = -87 + 106. Is v*-22*1/(-2) + 0 a composite number? True Let q = 163629 - -7574. Is q a composite number? False Is (-220)/(-88)*((-1)/(-5))/((-1)/(-234326)) prime? True Is 94203 + ((-1)/3)/(15/(-180)*-2) a composite number? False Let c be (-2 + 1)/(2/(-2382)). Suppose -5*m = -2*m - c. Suppose -2*f = -7*f - 4*h + 661, 3*f - m = -2*h. Is f a composite number? True Is 74779*(-113 + -6)/(-17) a composite number? True Let p(c) = 1517*c**2 - 16*c + 421. Is p(-11) prime? False Let q = 3114 + -2173. Suppose 0 = -5*k + 4876 - q. Is k a composite number? False Suppose -f + 4*s + 288963 = 0, f + 5*s - 285745 = 3281. Is f a prime number? True Suppose -51*q = -59*q + 48. Suppose 0 = q*g + 3*g - 9. Is (4 + (-2451)/(-3))*g a composite number? False Is (12744/(-32) - 1)/((-3)/12) prime? True Let p = 13009 + -2693. Suppose 13*s = 17*s - p. Is s a composite number? False Suppose -6*d = -0*d - 48. Suppose s - d = 3*s. Is 7572/s*(-3)/9 a prime number? True Suppose 8*v + 1199 = 119. Is (-291435)/v + 2/9 a composite number? True Suppose 0 = 24*p - 10529 - 532183. Is p composite? False Let t(m) = -m**2 + 1. Let g be t(3). Is g/(-52) - 71325/(-39) a composite number? True Suppose -8*m + 5*m = -9. Suppose 0 = 2*p + 2*v + 4, 2 = -6*p + p + m*v. Is p/(19161/(-12762) + 3/2) a composite number? False Let h be -823*1 - ((9 - 7) + -6). Let v = -34 - h. Is v composite? True Let l(v) = 21*v**2 + v + 5. Let s be l(-3). Let z be 5290/(-2)*(-2 - -3)/(-1). Suppose -6*h + z = s. Is h composite? False Let a(w) = -23*w**3 + 14*w**2 + 5*w - 3. Let m be a(-6). Suppose -3*p = 516 - m. Is p a prime number? False Let p = 19523 - -24690. Suppose 2383 - p = -10*l. Is l a composite number? True Let x = 34408 + -20016. Suppose -8*j = -4*j - x. Suppose 2*n + 12*n = j. Is n prime? True Let m(k) = -1855*k**2 - 5*k + 4. Let x be m(1). Let g = x + 3730. Is g prime? False Suppose -3250*y - 6034762 - 11898224 = -3268*y. Is y a composite number? True Suppose -g - 19*x + 6964 = -14*x, -4*x - 12 = 0. Is g a prime number? False Let u be (6/(-4))/((-6)/56). Let k = -9028 + 9043. Suppose 0 = u*w - k*w + 319. Is w a prime number? False Is 14 + (19 - 26) + -1*31718*-2 composite? False Suppose 881917 = 19*g - 202774. Is g composite? False Let d(p) = 108*p**2 - 1. Let g(b) = -108*b**2 + 1. Let t(j) = -6*d(j) - 7*g(j). Is t(-3) a composite number? False Let k be 3 - 0 - (-1 + -11). Let x(j) = k*j - 9*j - 11 + 25*j + 5. Is x(7) composite? False Let b = 500675 - -746310. Is b composite? True Let v be 15/(-2)*168/210. Is ((-5905)/(-15))/(11/v + 2) prime? False Suppose 3*h = -7*h + 340. Suppose -h*q = -414417 + 169379. Is q prime? True Suppose -3*h + 6592 = -2615. Suppose -2*g + h = -3305. Suppose -5*u + 5371 = 2*a, -5*a + 47 = 3*u - g. Is u composite? True Suppose -10*a - 2139 = -12429. Let z = a - -1100. Is z composite? False Let x = -2530 + 15741. Is x a composite number? True Suppose -98*h - 8925 = -101*h. Suppose q = 2*b + h, -3*q - b + 11927 = q. Suppose -5*t = 3*g - 8255, -5*t - g + 11246 = q. Is t a composite number? True Let i = -65 - -71. Suppose -2*q + 5*h = -4367, 8*h - 8722 = -4*q + i*h. Is q a prime number? False Let r = -15686 + 16945. Is r a composite number? False Suppose 3*k = v + 2377 + 125, -3*v + 5*k - 7518 = 0. Let z = 692 - v. Is z a composite number? False Suppose 10 = 2*f, -18*d + 161217 = -17*d + 4*f. Is d a composite number? True Let h be (-255)/(-17) - (-2 - -1). Let g be ((-34503)/2)/(-3) + (-8)/h. Let t = g - 3135. Is t a
{ "pile_set_name": "DM Mathematics" }
= c - 0*k, 5*k - 17 = -3*c. Let w(h) = 0*h + 4*h - c*h + 2*h. Let s(y) = -12*y**2. What is s(w(v))? -48*v**2 Let q(o) = 2*o**2. Let x(c) = 2466131*c. What is q(x(k))? 12163604218322*k**2 Let w(j) = -19*j - 2. Let l(b) be the third derivative of -b**4/8 - 3*b**2 + 12. Determine w(l(t)). 57*t - 2 Let q(o) = o**2. Let w(r) = 7*r**2 - 1. Let u be w(-1). Let b be 48/21 + (-4)/14. Let j(k) = -u*k**2 + 5*k**2 + b*k**2. Determine q(j(y)). y**4 Let x(w) = 12*w + 10*w + 3*w. Let o(h) be the first derivative of -2*h**3/3 - 69. Calculate x(o(y)). -50*y**2 Let t(q) = -9*q. Let x(c) = 18002*c. Calculate t(x(u)). -162018*u Let p(i) = -4*i**2. Let k(m) = 100*m**2 - 340*m**2 + 80*m**2. Calculate k(p(b)). -2560*b**4 Let k(c) be the first derivative of c**5/60 - 21*c**2/2 + 4. Let p(a) be the second derivative of k(a). Let x(r) = 20*r. What is p(x(y))? 400*y**2 Let a(m) = m**2 - 18 - 29 - 3*m**2 + 28. Let t(y) = -2*y. Give t(a(g)). 4*g**2 + 38 Let j(q) = 2*q. Let l(v) = -481983*v**2 - 2*v. Calculate l(j(d)). -1927932*d**2 - 4*d Let d(x) = 14*x + 11*x - 33*x + 10*x. Let a(o) = o + 135. Calculate d(a(n)). 2*n + 270 Let q(j) = -j. Let x(a) = 25*a - 2. Let h(d) = d - 1. Let y(t) = 2*h(t) - x(t). Let p(g) = -22*g. Let w(m) = -5*p(m) + 4*y(m). What is w(q(z))? -18*z Let r(m) = -m - 60. Let v(x) = 479*x. Determine v(r(s)). -479*s - 28740 Let a(i) = i. Let h(c) = 0*c**2 - c**2 + c**2 + 4*c**2. What is h(a(g))? 4*g**2 Let y(t) be the first derivative of -13*t**3/3 - 1. Let p(i) = 466*i - 232*i - 235*i. Give p(y(m)). 13*m**2 Suppose -z - 413 = -5*t + 2*z, -5*t + 2*z + 412 = 0. Let j(n) = 82 - t + n. Let y(q) = q**2. Calculate y(j(r)). r**2 Let a(f) = -10*f**2. Let p(o) be the first derivative of 9*o**2 - 37. What is p(a(b))? -180*b**2 Let b(k) = -490*k**2 - 47*k. Let l(m) = 2*m. Give l(b(a)). -980*a**2 - 94*a Let x(i) = -i - 1. Let t(o) = -1 + 18*o - 4*o + 2 - 11*o. Let q(b) = -t(b) - x(b). Let n(m) = -5*m. What is q(n(g))? 10*g Let u(j) = 3*j**2. Let f(a) = a**3 - 11*a**2 + 10*a + 3. Let l be f(10). Let d be l - (-2)/(2 + 0). Let y(k) = -6*k + 0*k + d*k. What is y(u(b))? -6*b**2 Let j(w) = -2*w. Let o(i) = 2*i + 23. Let f(m) = 3*m + 24. Let h(z) = 3*f(z) - 2*o(z). Calculate j(h(l)). -10*l - 52 Suppose 0 = -2*z - 6 + 2. Let r(b) = 10*b. Let d(a) = 2*a. Let m(k) = z*r(k) + 11*d(k). Let h(o) = 5*o**2. What is h(m(s))? 20*s**2 Let g(d) = d. Let z = 38 - 36. Let n(l) = 15*l**2 + 15*l**2 - 28*l**z. Calculate g(n(s)). 2*s**2 Let k(f) = f**2 + 14*f + 55. Let v be k(-9). Let c(u) be the third derivative of 0 - v*u**2 + 1/6*u**4 + 0*u**3 + 0*u. Let a(x) = x**2. Determine c(a(l)). 4*l**2 Let t = 1 + 2. Let m(g) = 3*g + t - 8*g - 5 + 24*g. Let p(f) = 39*f - 5. Let v(k) = -5*m(k) + 2*p(k). Let z(l) = 2*l. Determine z(v(w)). -34*w Let l(v) = 1369*v**2. Let t(x) = -289*x**2 - x. What is t(l(w))? -541632529*w**4 - 1369*w**2 Let k(j) = -5*j + 10*j - 7*j. Let h be (4/5)/((-16)/(-40)). Let l(v) = 0*v**2 + h*v**2 + v**2. What is l(k(f))? 12*f**2 Let t(c) = -29*c**2. Let y(s) = -1365*s**2 - 2 + 1366*s**2 + 2. What is t(y(z))? -29*z**4 Let x(c) = -c + 1. Let q(i) = -8*i + 3. Let m(u) = q(u) - 3*x(u). Suppose 2*z = 7*z. Let k(y) = 0*y + 0*y - 2*y**2 + z*y**2. Determine k(m(v)). -50*v**2 Let x(n) = -3*n**2 + 4*n + 2. Let w(v) = 48*v**2 - 66*v - 33. Let s(y) = -2*w(y) - 33*x(y). Let z(u) = -4*u**2 - 3. Calculate s(z(g)). 48*g**4 + 72*g**2 + 27 Let x(y) = -23*y**2. Let s(u) = -55509*u. Determine x(s(i)). -70868728863*i**2 Let i(w) = -w**2. Suppose -3*t = -3*m - 39, -m - 43 = 3*t - 7*t. Let v(y) = -29*y + 5*y - t*y + 5*y. Calculate v(i(x)). 29*x**2 Let o(b) = 1174*b**2. Let z(u) = 2*u + 7. Give o(z(a)). 4696*a**2 + 32872*a + 57526 Let m(h) = 2*h. Let q(w) = -w**2 + w. Let z(x) = 56*x. Let t(f) = 56*q(f) - z(f). Calculate t(m(v)). -224*v**2 Let s = 0 - -3. Let g = 5 - s. Let d(t) = -2*t - 7*t**2 + 9*t**g + 2*t. Let w(v) = v. Determine w(d(c)). 2*c**2 Suppose -4*u + 11 = h, -7 = -3*u + 4*h + 25. Let b(q) = 5*q**2 + u*q**2 - 8*q**2. Let g(k) = 3 + 3*k - 3. Give b(g(c)). 9*c**2 Let g be 12/(-1 + 4) - 32. Let d = g - -41. Let f(b) = 6*b**2 - d*b**2 + 5*b**2. Let y(x) = 10*x**2. Calculate y(f(r)). 40*r**4 Let r(x) = x + 2. Let b = 1 + 8. Let d be 12/b*(-15)/2. Let a(y) = 2*y + 5. Let k(l) = d*r(l) + 4*a(l). Let o(j) = -j**2. Give k(o(n)). 2*n**2 Let h(w) = 76*w. Let b(l) = 23*l**2 - 802. Determine h(b(t)). 1748*t**2 - 60952 Let a(y) = 3*y - 12. Let j(s) = -5*s + 21. Let l(d) = -7*a(d) - 4*j(d). Let k(h) = 7*h. Let i(q) = q. Let x(g) = -21*i(g) + k(g). What is x(l(w))? 14*w Let q(u) = -25881*u**2. Let j(l) = 27*l. Give j(q(d)). -698787*d**2 Let v(x) = -6*x**2. Let j(q) = -1483*q + 2. What is j(v(n))? 8898*n**2 + 2 Let m(w) = -2*w**2. Let k(i) = 231*i. Let z(l) = -51*l. Let n(a) = 5*k(a) + 22*z(a). Determine m(n(s)). -2178*s**2 Let v(j) = -10*j**2 - 25*j + 50. Let w(d) = d**2 + d - 2. Let s(p) = -2*v(p) - 50*w(p). Let n(r) = r**2. What is s(n(u))? -30*u**4 Let s(g) = 12*g**2. Let t(z) be the first derivative of 11*z**2 + 3*z**2 - 16*z**2 - 12. What is t(s(v))? -48*v**2 Let t(a) be the third derivative of -a**7/240 + a**5/4 - 16*a**2. Let p(b) be the third derivative of t(b). Let f(i) = -2*i**2. Calculate f(p(v)). -882*v**2 Let v(l) = 2*l. Let n(w) = -3*w**2 - 102633*w. Determine n(v(d)). -12*d**2 - 205266*d Let o(a) = 10*a**2. Let v(f) = -1062*f**2. Give o(v(w)). 11278440*w**4 Let y(d) = 2*d**2 + 6. Let n(j) = j**2 - 11 - j**2 - 4*j**2. Let a(w) = -6*n(w) - 11*y(w). Let x(z) = 126 - 53 - 73 - 2*z. Calculate a(x(t)). 8*t**2 Let y = 1685 - 594. Let m(f) = -f**2 - 1091 + y. Let x(v) = 8*v**2 + 4. Give m(x(q)). -64*q**4 - 64*q**2 - 16 Let o(a) = 2*a + 4*a - a - a. Let d(y) = 944 - 2*y**2 - 944. Give d(o(g)). -32*g**2 Let f(q) = -q. Let l(i) = -8*i. Let y(o) = -30*f(o) + 5*l(o). Let j(n) = 29*n. Calculate y(j(x)). -290*x Let x(u) = 42*u - 2543. Let m(l) = -2*l. Give x(m(s)). -84*s - 2543 Let v(o) = -7513*o. Let k(u) = 681*u. Calculate v(k(s)). -5116353*s Let n(d) = d**2 - 4. Let l(v) = 16*v**2 - 12. Let y(r) = l(r) - 3*n(r). Let m(b) be the second derivative of b**4/3 - b. Calculate y(m(p)). 208*p**4 Let g be -1 + 1 + -1 - -3. Let l(v) = -g - v + 2 + 3*v. Let x(r) = -r. Give x(l(k)). -2*k Let c be -2 - 2/(1 + -2). Let h(x) be the third derivative of c*x + 0*x**3 + 0*x**4 - 1/20*x**5 - 4*x**2 + 0. Let q(y) = y**2. Determine q(h(m)). 9*m**4 Let b(a) be the third derivative of -a**5/20 + 2*a**2. Let s(k) be the second derivative of 0 + 0*k**2 + 1/12*k**4 + 2*k + 0*k**3. Calculate s(b(x)). 9*x**4 Let v(i) = i**2 - 4*i + 2. Let y be v(4). Suppose n = y, 2*o - 20 = -5*n - 4. Let a(c) = -15 + 15 - o*c. Let j(d) = d**2. What is j(a(f))? 9*f**2 Let v(j) = -14*j**2. Let h(a) = -20*a + 102 + 99 - 201 - 3*a. Determine h(v(o)). 322*o**2 Let l = 3067/3 + -1022. Let g(v) be the second derivative of -l*v**3 + 0*v**2 + 0 - 2*v. Let w(b) = -8*b. Calculate w(g(m)). 16*m Let t(z) = -6*z - 2. Let p(k) = 8*k + 3. Let s(n) = -2*p(n) - 3*t(n). Let c(a) = -11*a**2 - 2. What is c(s(m))? -44*m**2 - 2 Let n(t) = 2*t. Let z(o) = o**2 + 3*o + 35. Let j(r) = -3*r**2 - 8*r - 104. Let s(u) = 3*j(u) + 8*z(u). Let w(h) be the first derivative of s(h). Give n(w(d)). -4*d Let u(d) be the first derivative of 2*d**3 + 311. Let c(w) = 2*w - 4. What is u(c(f))? 24*f**2 - 96*f + 96 Let i(k) = -k - 39. Let t(z) = -2*z**2 - 26*z + 26*z + 4*z**2. Give i(t(g)). -2*g**2 - 39 Let t(h) = h**2. Let a(c) be the second derivative of 107*c**4/12 + 5*c**2/2 + 2*c + 341. What is t(a(f))? 11449*f**4 + 1070*f**2 + 25 Let s = -3 + 7. Suppose -s*b - 22 = -46. Let y(a) = -7*a + b*a + a + a**2. Let d(h) = -6*h. Calculate y(d(r)). 36*r**2 Let m(u) = -5*u. Let x(y) be the first derivative of 26 - 79 + 2*y**3 + 37. Give m(x(j)). -30*j**2 Let y(c) = -4*c**2. Let u(v) = 50*v - 59*v + 68*v. What is y(u(a))? -13924*a**2 Let i(r) = 4*r**2 + 53. Let f(m) = -10*m - 3. What is i(f(n))? 400*n**2 + 240*n + 89 Let i(m) be the second derivative of m**4/6 - 2*m + 8. Let a(h) = -946*h. Calculate i(a(u)). 1789832*u**2 Let m(u) = -2*u**2. Let p be (5 + -2)*267/(3 + 0). Let x(h) = 13*h**2 + 267*h - p*h. What is x(m(t))? 52*t**4 Let l(q) = 5*q - 48. Let x(v) = 16*v - 168. Let o(a) = -14*l(a) + 4*x(a). Let z(f) = 5*f. Let u(k) = -3*k. Let c(g) = -7*u(g) - 4*z(g). Determine o(c(h)). -6*h
{ "pile_set_name": "DM Mathematics" }
ose 214 + 121 = 5*n. List the prime factors of n. 67 Let h be (-8)/20 + (-2)/(-5). Suppose b + 4*f - 23 = h, 2*b - 2*f + 2 - 18 = 0. What are the prime factors of b? 11 Let p(d) = d - 2. Let b be p(6). Let j be ((-3)/b)/((-3)/24). Suppose -3*l - 15 = -j*l. What are the prime factors of l? 5 Let c(j) = -5*j + 3. Let q be c(6). Let k be ((-4)/3)/(1/q). What are the prime factors of (k/(-15))/(1/(-5))? 2, 3 Let h = -26 - -72. Let s = h + -31. List the prime factors of s. 3, 5 Let y = 10 - 8. What are the prime factors of ((-24)/10)/(y/(-30))? 2, 3 Suppose 10*k = 7*k + 228. What are the prime factors of k? 2, 19 Let c(m) = -2*m**3 + 2*m**2 - 1. Let n be c(-1). Let a = 5 - n. Suppose a*r + 3*r - 30 = 0. List the prime factors of r. 2, 3 Suppose 2*q + 5*o = 13, 0 + 3 = q - o. Suppose 0 = -q*i - 0*i + 28. Suppose -2*k + i + 13 = 0. What are the prime factors of k? 2, 5 Suppose 2*y + 1 = 21. What are the prime factors of y? 2, 5 Suppose -a - 2*a + 87 = 5*g, 5*a - 5*g = 185. List the prime factors of a. 2, 17 Let d = 7 + 5. Let q = 12 + d. List the prime factors of q. 2, 3 Let b be (2 - 2) + (-81)/(-3). Suppose 0 = -3*w + 6*w - b. What are the prime factors of w? 3 Let k(l) = 2*l**2 + 9*l + 1. Let v be k(-11). What are the prime factors of v/9 + (-1 - 1)? 2, 7 Suppose 262 = 3*b + 2*u - 201, -3*b + 459 = 3*u. List the prime factors of b. 157 Suppose -5*h + 3*n + 10 = 0, 35 = 3*h - 0*n + 4*n. Suppose -y - 196 = -h*y. What are the prime factors of y? 7 Suppose -4*q - 92 = -4*f, 0 = 4*f - f + 5*q - 69. List the prime factors of f. 23 Let a be (25 + -1)/((-10)/(-25)). Let v be ((-6)/10)/((-4)/a). Let s = v - 5. What are the prime factors of s? 2 List the prime factors of (-3)/(-27) - (-5252)/36. 2, 73 Let z(v) = -v**2 - 10*v + 5. Let b = 11 + -19. What are the prime factors of z(b)? 3, 7 Suppose -6*k = -3*k - 6. Suppose -v + k = -5. What are the prime factors of v? 7 Let m(d) = 2*d**2 + d - 3. Let s be m(2). What are the prime factors of ((-36)/(-21))/(s/196)? 2, 3 Let r(y) = 3*y - 19. What are the prime factors of r(22)? 47 Suppose -5*n - 17 = 13. Let i(y) = -y**2 - 7*y + 4. Let s be i(n). List the prime factors of (-16)/s*5/(-2). 2 Suppose 5*z = -9 - 11, -4*z = 2*s - 114. Let y = s - 41. What are the prime factors of y? 2, 3 Suppose f - 4*f + 78 = 0. List the prime factors of f. 2, 13 Let p(o) = o**3 - o**2 - 3*o + 1. Let m be 2/1 + (-3 - -1). Let l be -2*(m - (-3)/(-2)). What are the prime factors of p(l)? 2, 5 Let z(c) = 4*c**3 + 2*c**2 - 3*c - 3. Let f be z(-2). What are the prime factors of f/(-2) - (-8)/16? 11 Let n = -50 - -158. What are the prime factors of n? 2, 3 Let y(z) = 10*z**2 + 2*z + 1. Suppose -3*h = -5*j + 31, -3*h - 5*j = -0*h - 19. What are the prime factors of y(h)? 37 Let r = -21 + 49. Let c = r - -19. List the prime factors of c. 47 Let l(i) = i**3 - 2*i**2 + i. Let d be l(2). Let z(n) = -n**2 + 3*n - 2. Let f be z(d). Suppose f*y + 10 = y. List the prime factors of y. 2, 5 Suppose s - 200 = -4*g - s, 2*g - 116 = -5*s. What are the prime factors of g? 2, 3 Let p(o) = -6*o**3 - o**2 - o. Let z be p(-2). List the prime factors of (-2)/3 + z/6. 7 Suppose -4*w + 142 = -70. What are the prime factors of w? 53 Suppose -2*z - 3*z = -115. Let x = z - 10. List the prime factors of x. 13 Suppose 0*o = j + 5*o - 88, 5*j = -o + 440. List the prime factors of j. 2, 11 Let z be (-12)/(-9)*(-9)/2. Let i = 12 + z. Suppose -2*f - 36 = -i*f. List the prime factors of f. 3 Let j(s) = s**3 + 5*s**2 - 7*s + 3. Let r be j(-6). Suppose -z - 4*n + r = 0, -n + 5 = 3. List the prime factors of (-2)/2 + z*9. 2 What are the prime factors of 8/(-6)*90/(-12)? 2, 5 Suppose 3*f - 398 = f. What are the prime factors of f? 199 Let u = -200 + 309. What are the prime factors of u? 109 What are the prime factors of 3/12 + (-417)/(-12)? 5, 7 Let n(q) = -q**2 - 5*q - 2*q - 3*q + 3. Let l be n(-10). Suppose 0 = -5*j + 5*h + 45, l*h = -4*j + 9 + 20. What are the prime factors of j? 2 Suppose 0*y = 2*o + y, -4*o - 5*y + 12 = 0. List the prime factors of (-2)/2*o - -17. 19 Suppose 6*t = -5*d + t + 265, 2*d - 98 = 2*t. Let v be (-4)/(-14) - d/7. Let s = 14 + v. What are the prime factors of s? 7 List the prime factors of (278/3)/((-68)/12 + 6). 2, 139 Suppose w - 4*t = -17, -w = t + 1 - 9. Suppose -o + 4*z = 5, -2*o + z = 2*o - 40. Suppose w*b = -o + 38. List the prime factors of b. 3 Suppose -3*f = -7*f + 72. Let z = 25 - f. What are the prime factors of z? 7 Suppose 3*m = -z + 115 + 37, -5 = 5*m. Suppose -5*w + 0*w + z = 0. List the prime factors of w. 31 Let a be -9 - -1 - (-5 - -2). What are the prime factors of a/(1 - (-18)/(-15))? 5 Suppose 108 = 3*m - 45. Suppose y + x - 7 = 5, 4*y = -x + m. Let p = y - 6. What are the prime factors of p? 7 Let r = 17 - 14. List the prime factors of r. 3 Let t be 1/1 + (-18)/(-3). Let m = t - 5. What are the prime factors of m? 2 Let k be (-3 - -4)*(20 + 0). Suppose 3*o = -o + k. What are the prime factors of o? 5 Suppose 5*j = -l + 24, 27 = -2*l + j + 86. What are the prime factors of l? 29 Let n(b) = b - 1. Let i(q) be the third derivative of -7*q**4/24 - q**3/2 + q**2. Let a(m) = i(m) - 2*n(m). List the prime factors of a(-1). 2 Suppose 0 = -2*g + 4*r + 4, -2*g + 39 = 4*r - r. List the prime factors of 258/8 + 9/g. 3, 11 Let z = 9 - 3. Suppose 4*f - 68 = 3*u - z*u, 0 = -3*u + 4*f + 76. List the prime factors of u. 2, 3 Let i(j) be the third derivative of -3*j**4/4 + j**3/6 - j**2. List the prime factors of i(-1). 19 Suppose -z - 2 = -0*z. Let l be z*(9/6 + -1). What are the prime factors of (3 - -1)*l/(-1)? 2 Let y(w) = 3*w + 14. Suppose 2*d - 3*d = -8. List the prime factors of y(d). 2, 19 What are the prime factors of 1/5 - 149/(-5)? 2, 3, 5 Suppose -5*r + 5*f + 60 = 0, -3*r = -4*f - f - 42. What are the prime factors of r? 3 Suppose -4*v = -5*p + 119, 4*v + 50 = p + p. What are the prime factors of p? 23 Let z(y) = y**2 + 8*y + 4. List the prime factors of z(-8). 2 Let a be (2/(-6))/(1/(-6)). Suppose 3*i = 3*m + 9, -4 = -2*i - m + a. What are the prime factors of i? 3 Let h = -1 - -4. Suppose 11 = -h*k - 1, -i + 59 = 4*k. Suppose -5*r - 3*y = -i, -4*y = -5*r + 1 + 39. List the prime factors of r. 2, 3 Let c = -17 - -44. Let z be (-4)/(-6) - (-63)/c. Suppose 2*p - 2*f = 12, -6*f = z*p - 2*f + 10. What are the prime factors of p? 2 Suppose 2*k - 21 = -u, -4*k + 2*u + 33 = u. List the prime factors of k. 3 Suppose -c + 4*c = 2*r + 1, 0 = c + 3. Let x be (-2)/5 - 242/r. Let m = x + -34. What are the prime factors of m? 2, 7 Let p(z) be the second derivative of 3/2*z**2 + 3/2*z**3 + 3*z - 1/12*z**4 + 0. What are the prime factors of p(8)? 11 Let h = 640 + -355. List the prime factors of h. 3, 5, 19 Suppose 2 = -4*x - v, 0 = -5*v - 0 - 10. Suppose -o - 3*w + 29 = -x*o, 0 = 5*w - 25. What are the prime factors of o? 2, 7 Suppose -3*r + w + 24 = 0, -r - 2*w = -3*r + 16. What are the prime factors of r? 2 Let j = -2 + 6. What are the prime factors of j/(-12) - 50/(-6)? 2 Suppose -3*g = 2*g. Suppose -4*c + g*c + 12 = 0. Suppose 2*v - 3*v = -c. List the prime factors of v. 3 Let c(p) = -3*p. Let v be c(7). Let n = -12 - v. List the prime factors of n. 3 Let a(h) = -2 + h - 3 + 1. Let n be a(4). Suppose -3*m - 2*m + 20 = n. List the prime factors of m. 2 Let a(q) = -2*q - 4. Let u be a(-6). Let t = 16 - u. What are the prime factors of t? 2 List the prime factors of (4/(-2))/(4/(-64)). 2 Suppose -17*v = -10*v - 2072. List the prime factors of v. 2, 37 Suppose 6*l - 63 = 2*l - 5*q, 4*q + 24 = 3*l. Suppose 0 = 4*v - 4 - l. List the prime factors of v*2 - (-4 - -3). 3 Suppose 6*m - 9*m = -6. Suppose 2*h - m = h. Suppose 0 = h*f - 5*f + 48. List the prime factors of f. 2 Suppose 0 = 3*p + 2*p. Let z(w) = -w**3 - w**2 + w. Let q be z(p). Suppose -2*b + b + 7 = q. What are the prime factors of b? 7 Let g = 1 + 0. Suppose -4 = 3*c - 2*l + 3*l, 2*l + 6 = -4*c. What are the prime factors of (1 + c + 9)/g? 3 List the prime factors of ((-29)/2)/(7/(-14)). 29 Let m = 14 - 3. What are the prime factors of m? 11 Suppose 44 = -2*w + 4*w. Suppose c - 3*c = 2*u - w, u = 3*c - 37. What are the prime factors of c? 2, 3 Let z be (-3 - (3 - 7)) + 1. Let g = 2 + z. List the prime factors of g. 2 Let p(s) = s**3 + 5*s**2 - 7*s - 3. Let k be p(-6). Suppose 3*b
{ "pile_set_name": "DM Mathematics" }
f? 7 Let y(m) = -m - 11. Let z be y(-9). What is the hundreds digit of 3531/15 + z + (-8)/(-5)? 2 Let x(a) be the second derivative of -7/6*a**3 + 1/20*a**5 - 26*a + 0 + 5/6*a**4 + 23/2*a**2. What is the units digit of x(-10)? 3 Let z = -127 - -72. Let b = 27 - z. Let i = 189 - b. What is the units digit of i? 7 Let r(f) = -f - 3. Let j be 1 + 3*(-4)/3. Let k be r(j). Suppose -7*x + 3*x + 88 = k. What is the tens digit of x? 2 Let i(t) = -240*t - 35. Let u be i(-19). Suppose 5*m + 2*p = -0*p + u, 1826 = 2*m + 4*p. What is the units digit of m? 3 Let f = -100 + 102. Suppose 0*z = 2*z + 3*k - 881, f*z + 5*k = 879. Suppose -5*i + z = -193. What is the tens digit of i? 2 Let d(z) = z**3 - 5*z**2 - 8*z - 9. Let b be d(7). Let y = 38 - b. Suppose -y*x + i + i = -436, i = -2*x + 169. What is the tens digit of x? 8 Suppose 5*x - 2*q + 0*q = 8666, -3*x + 2*q + 5202 = 0. What is the units digit of (-2)/(-3) + x/3? 8 Let o = -20 + 21. What is the tens digit of 5 - (-472*o + -4)? 8 Suppose 43*d - 40*d = -690. Let r = 38 - d. What is the units digit of r? 8 Let c be ((-3)/15*0)/2. Suppose t - 3 = -c*t. Suppose 3*j - 141 = -5*b, j = 2*b - t*j - 46. What is the units digit of b? 7 Suppose 0 = -3*b - 15, 3*b + 211 = -4*q + 1028. What is the units digit of q? 8 Let a be 3*(-1 - 48/(-18)). What is the units digit of (a/3)/((-3)/(-594))? 0 Suppose 5*m = 5*z + 45, 2*z + 10 = -12*m + 13*m. Suppose -m*a + 3656 = -0*a. What is the tens digit of a? 5 Let t be (-1132)/6*18/(-4). Suppose -3135 + 996 = -5*h - 2*g, -t = -2*h - 3*g. What is the hundreds digit of h? 4 Let z = 90 - 86. Suppose 353 = p - 4*a, z*p - a - 1784 = -p. What is the hundreds digit of p? 3 Suppose -16*x + 52 = -3*x. Let b(c) = 29*c**3 - 2*c**2 + 8*c - 34. What is the thousands digit of b(x)? 1 Suppose 51301 = -73*x + 625519. What is the tens digit of x? 6 Let o(v) = -v**3 + 23*v**2 + 23*v + 41. Let b be o(21). Suppose 0 = 4*u, -b = -l + 6*u + u. What is the hundreds digit of l? 4 Let r(d) = 1819*d + 143. What is the hundreds digit of r(4)? 4 Let b = -34 - -141. Let i = 119 - b. What is the hundreds digit of (280/i)/7*(2 - -43)? 1 Let h = -75588 - -114525. What is the hundreds digit of h? 9 Suppose 37*g + 371 = 38*g. Suppose -2*q + 647 = -g. What is the hundreds digit of q? 5 Let v = 3 - 7. Let x be 0 + v + 1 + 4 + 25. Suppose -2*w = -34 - x. What is the tens digit of w? 3 Let x = -266 + -335. Let d = x - -1087. What is the hundreds digit of d? 4 Suppose 10*p + 552 = 16*p. Suppose 90*y + 234 = p*y. What is the tens digit of y? 1 Let y be 2*(6 - 7) + 16. Let p be 11 + 0*(-2)/(-4). Suppose y*h - 189 = p*h. What is the tens digit of h? 6 Suppose -z - 3*b = -492, 3*z - b - 1821 = -375. Suppose -2*q + v = -1001, 25*v - 22*v = -q + z. What is the tens digit of q? 9 Let r(i) = 8*i**2 - 10*i - 11. Suppose 26*c = 144 + 64. What is the units digit of r(c)? 1 What is the ten thousands digit of 32540 - ((-18 - 5) + 22)? 3 What is the tens digit of (18 + -13 + -3)*59550/4? 7 Suppose -657714 - 31746 = -30*m. What is the hundreds digit of m? 9 Let b(k) = k**2 - 71*k - 195. What is the thousands digit of b(129)? 7 Let j(n) = -67*n**3 + n**2 - 2*n - 1. Let m be j(-1). Suppose 2*o + m = f + 2*f, 0 = -f - 4*o + 37. Suppose -18*y = -f*y + 483. What is the tens digit of y? 6 Suppose 2*k = -4*w + 102054, -2*w - 42*k = -46*k - 51032. What is the tens digit of w? 1 Suppose 11*s - 90 = 26*s. What is the hundreds digit of 3*51 + 24/s? 1 Let u be (-5*(-44)/550)/(1/(-5)). Let p(c) = -82*c - 56. Let q(r) = -27*r - 19. Let f(z) = 6*p(z) - 17*q(z). What is the units digit of f(u)? 3 Let m = 67 + -75. Let z be m/2 - -4 - -3. Suppose -z*t + 566 = 5*q, -5*t - 380 + 1342 = -q. What is the hundreds digit of t? 1 Suppose 2519932 = 7633*d - 7595*d. What is the units digit of d? 4 Suppose -3*g + 6*g - 9 = 0. Suppose 0 = 3*l - g, -i + 502 = -2*l + 4*l. What is the hundreds digit of i? 5 Let t(x) = 25*x**2 - x. Let a be t(1). Let l = a + -14. Let c(j) = 14*j + 39. What is the units digit of c(l)? 9 Suppose -4*m - 497 = 5*n - 3540, 2*m - 1520 = -4*n. What is the units digit of m? 2 Suppose w + 4*b = 99, 67*w + 2*b - 192 = 65*w. Let l be (3*23)/(6/8). Let j = w - l. What is the units digit of j? 3 What is the thousands digit of (-886)/6*(-14)/(-6)*-9? 3 What is the hundreds digit of (-21555)/5*(-9 - -8)? 3 Let p = 48176 + -26850. What is the tens digit of p? 2 Suppose 0 = -3*f + 3*p + 75, -5*f + 165 = 3*p - 0*p. Suppose f = -5*g + 7*g. What is the units digit of 14*5/g*(16 - -2)? 4 Let b = 535 - 545. What is the tens digit of (1965*12/50)/((-4)/b)? 7 What is the ten thousands digit of 324/(-72)*-178*(-134)/(-6)? 1 What is the tens digit of ((-697)/(-4))/((-60)/(-1440))? 8 Let a(f) = 24*f + 8. Let q(t) be the second derivative of t**4/4 + 10*t**3/3 - t**2 - t. Let p be q(-7). What is the hundreds digit of a(p)? 1 Let z(x) = 21*x**2 - 13*x - 2. Let f(d) = 22*d**2 - 15*d - 3. Let t(w) = -5*f(w) + 6*z(w). What is the tens digit of t(-2)? 7 Let g(k) = 93*k**2 - 32*k - 33. Let c(h) = -62*h**2 + 21*h + 22. Let i(n) = -8*c(n) - 5*g(n). What is the hundreds digit of i(-2)? 1 Suppose -71*o - 74*o + 33*o = -1267728. What is the hundreds digit of o? 3 What is the hundreds digit of (2449728/(-128))/(3/(-2))? 7 Let a be -4*(3 - 6/1 - -1). Let f(l) = -27*l + 19. Let r(q) = 13*q - 10. Let v(d) = 2*f(d) + 5*r(d). What is the units digit of v(a)? 6 Suppose -4 = s - v + 3, 0 = -3*s - 5*v - 61. Let w be (-6842)/s - 3/18. Suppose -7*q = -2*q - w. What is the hundreds digit of q? 1 Let u = 45 + -18. What is the tens digit of ((-2)/(-9) + (-546)/u)*-31? 2 Let h(c) = -15*c + 64. Let z be h(4). Suppose -z*d = -352 - 380. What is the units digit of d? 3 Let j(q) = -179*q - 125*q - 40*q + 1. What is the units digit of j(-1)? 5 What is the tens digit of ((-54166)/(-6) + -1)/(1537/87 - 17)? 4 Let w = 145 + -141. Suppose 2 = -r - 4*g + 8, -13 = -4*r - 5*g. Suppose -w = -2*l, 2*y - 3*l - 156 = r*l. What is the tens digit of y? 8 Let g(q) = -35*q + 14 - 18 + 253*q**2 + 36*q. What is the hundreds digit of g(-2)? 0 Suppose -2722969 - 3428681 = -59*n - 91*n. What is the units digit of n? 1 Suppose 42 = 14*f - 0*f. Let c be (2904/(-16))/(-11) - f/(-2). What is the units digit of 62/c + 20/(-45)? 3 Let g = 80 + -76. Suppose 2*s - 376 = g*s. Let o = 297 + s. What is the hundreds digit of o? 1 Let j be (2/4)/(4/(-5288)). Let t = 1376 + j. What is the tens digit of t? 1 Let t(m) = -9*m**3 - m - 2. Let o be t(-2). Let u = -72 + o. Suppose u = -5*s - 27 + 692. What is the tens digit of s? 3 Let p(l) = -55*l - 80. Suppose 5*w + 42 = 4*o, -13 - 11 = 2*w - 4*o. What is the tens digit of p(w)? 5 Suppose -44*h + 214*h = 2024870. What is the units digit of h? 1 Suppose 577 = -3*j + 5*g - 213, j + 270 = -5*g. Let t = j + 739. What is the units digit of t? 4 What is the hundreds digit of (-1508)/3*(-4284)/336? 4 Let v(y) = y**2 - 5*y + 9. Let d be v(4). Suppose -3785 = -d*z - 1310. What is the units digit of z? 5 Suppose 2*u + 121 = -m, -117 + 417 = -5*u - 3*m. What is the tens digit of -1*(-2796)/21 + 9/u? 3 Let t be 4/(-6) - 87/(-9). Suppose 3*q - 3 = 0, 2*q = -3*l + 2*l + 355. Suppose -t*a = -1550 + l. What is the tens digit of a? 3 Let n = -11 + 15. Suppose 0 = w - 2, -3*a + n*w + 557 = 2*w. What is the hundreds digit of a? 1 Suppose -7*q + 12*q - 10 = 0. Suppose -5*u = -5*d + 125, -d = 3*d + q*u - 100. Let g = 38 - d. What is the units digit of g? 3 Suppose 0*h + 2*n = -5*h + 417, 4*h - n - 344 = 0. Let x = h + 162. What is the tens digit of x? 4 Let u(b) = -8*b**3 - 11*b**2 + 3*b - 11. What is the hundreds digit of u(-6)? 3 Let h(v) = 434*v - 4. Let p be h(1). Suppose 2*r + 5*x - p = 0, x - 645 = 4*r - 7*r. Let i = r + -72. What is the tens digit of i? 4 Let d(z) = 20*z + 13. Suppose 6*v = 3*v + 2*p + 14, -9 = -v + 5*p. Let m be d(v). What is the tens digit of (-1 - 11)/(2 + m/(-42))? 5 Let p = 122 + -125. Let c(z) = -2*z**2 - 3*z + 8. Let s be c(p). Let n(m) = -286*m + 5. What is the hundreds digit of n(s)? 2 Let c(j) = 133*j**2 + 375*j + 45. What is the hundreds digit of c(8)? 5 Let a be -2*-2*3/(-12). Let j be 28/56*(45 - a). Suppose w - j = 19. What is the tens digit of w? 4 Let h be 5*3/(-12)*-4. Suppose -3*g + 919 = h*u - u, -u - 2*g = -226. Let x = -103 + u. What is the ten
{ "pile_set_name": "DM Mathematics" }
et o = g - u. Solve o*k = -0*k - 5 for k. -1 Let y(m) = 296*m + 386. Let u be y(4). Solve -1572*v + 10 = -u*v for v. 5 Let l(c) = 3*c**2 - 11*c. Let f be l(4). Suppose -f*v + 2*v = 3*k, -4*v + 16 = -2*k. Let w(d) = -5*d - 55. Let y be w(-11). Solve y*m - v*m = 0 for m. 0 Let m(l) = 8*l + 48. Let u be m(-6). Suppose 3*h - 4*h + 4 = u. Suppose 21 + 19 = h*t. Solve -t*c + 8*c = -6 for c. 3 Suppose -p + 2*k = -4 - 51, -3*p - 3*k + 192 = 0. Solve p*a - 114 = -480 for a. -6 Let r be (14/98)/(2/(-7))*0. Suppose -5*m + m = 4*t - 12, r = m - t + 3. Solve m = -5*l + 5 - 0 for l. 1 Let u(v) = 15*v + 2250. Let a be u(-149). Let h = -4 - -7. Suppose -3*l - 14 + 5 = 0, a = h*s - 5*l. Solve 2*o - 8 = -s*o for o. 4 Suppose -506 = -c - 2*b, -3*c + 6*b - 9*b = -1524. Let l = c - 508. Solve 0 = -5*g + l*g - 6 for g. -2 Suppose 10*d = 2*d - 64. Let f be 3*d/36*-6. Let p be (1080/(-52))/(-5) + f/(-26). Solve -p*t = -5*t + 1 for t. 1 Suppose 8*z = -18*z - 5*z + 16182. Solve 0 = -529*f + z*f - 35 for f. -5 Let q = -13593 - -13625. Solve 8*d = 8 + q for d. 5 Suppose 16 = -4*q + 3*y, 12 = -3*q + y - 0. Let t be 4 + ((-18)/24 - (-5)/q). Suppose 0 = 5*d - 4*r + 11, t*d + 3*r - r - 10 = 0. Solve d = 4*i - 3 for i. 1 Let a(s) = s**2 + 99*s - 2796. Let j be a(23). Solve -107 = j*c - 167 for c. 6 Suppose 6 - 2 = 2*n. Let t(z) = -2*z**2 - 8*z - 6. Let q(j) = j**2 + 4*j + 3. Let a(b) = 5*q(b) + 2*t(b). Let c be a(-4). Solve -c*s = n*s + 25 for s. -5 Let m(q) = -14*q**3 + q**2 + 4*q + 13. Let g be m(-3). Let o = -374 + g. Solve 0 = 2*t - 4 + o for t. -5 Suppose 4*x + 11 = -d, -2*d + 11 = -x - 2*x. Let g be (4 + 60)/4 - x. Suppose -48 = o - 4*o + 3*l, -o + 4*l = -g. Solve 0 = -3*h + o - 0 for h. 5 Let k(p) = 2*p**2 + 11*p - 17. Let d be k(-7). Suppose -3 = -2*h - 5, d*s + 2*h - 6 = 0. Solve 0 = -4*c - 2 - s for c. -1 Let l = 1833 + -1781. Solve -89*k + 102*k - l = 0 for k. 4 Let w = 35 + -25. Suppose 2*u = 3*z + w, 10*z = 5*z + 2*u - 10. Solve z = -3*o + 2 + 1 for o. 1 Let b(v) = v**3 + 25*v**2 - 53*v + 30. Let q be b(-27). Suppose 0 = 5*x + k - 14, -26 = -6*x + q*x - 5*k. Solve -t + 1 = -x for t. 3 Suppose 5*v = 304 - 54. Let i = 54 - v. Suppose -u + 3*u = 2, i = t - 2*u. Solve 2*o = -o - t for o. -2 Let u be -1*52/(-12) + (-18)/(-27). Suppose -u*q = c - 15, -15 = c + q - 18. Solve -5*f - 5 - 10 = c for f. -3 Let i(d) = 3*d**2 - 32*d - 27. Let p be i(14). Suppose 28 = -109*w + p*w. Solve -27 + 13 = -w*n for n. 2 Let m be (-9)/8 - -1 - 8/(-64). Suppose -59*x + 61*x - 8 = m. Solve 0*u + x*u = -12 for u. -3 Suppose 4*y - 3*c = 180, -5*y = -5*c - 160 - 70. Suppose w + 4*n = -w + 104, 0 = w + 3*n - 54. Suppose 2*h = -y + w. Solve -l = -0*l - h for l. 3 Suppose -w + 1 + 0 = -3. Let f(d) = d**3 + 8*d**2 - 10*d - 9. Let g be f(-9). Suppose g = -w*s + 5 + 3. Solve 1 = s*o - 3 for o. 2 Let g(i) be the second derivative of i**4/12 - i**2/2 + 595*i. Let m(w) = -w**2 - 5*w + 2. Let h be m(-5). Let k be g(h). Solve k*a = -0*a for a. 0 Suppose 18*s = 3*q + 15*s - 18, 3*s = 2*q - 9. Solve 6*x - 15 = q*x for x. -5 Suppose -4*d = 4 + 12, 2*d = -3*q - 329. Let w = q - -80. Let z = w - -29. Solve 0 = -3*k - z + 11 for k. 3 Let s(i) = 5*i**2 - 31*i + 10. Let k be (-78)/(-12) - ((-10)/(-4))/5. Let r be s(k). Solve 11 - 3 = r*o for o. 2 Suppose 5*g + 31 + 19 = 0. Let j be (6/10)/((-2)/g). Suppose z + 2*d - 8 = -2*z, -3*d + 12 = -j*z. Solve z = -5*s + 6*s - 1 for s. 1 Suppose 38*f + 1117 = 134*f + 157. Solve -19*j + f*j = -45 for j. 5 Let t be ((5 - 2)/(-3))/((-3)/39). Suppose t*v = -9*v + 176. Solve 3*p = 17 - v for p. 3 Let o(v) = v**2 - 30*v - 540. Let c be o(44). Solve -12*y + 31*y - c = 0 for y. 4 Let j(m) = -3*m**2 + 86*m - 249. Let h be j(25). Solve -h = -224*r + 211*r for r. 2 Let l(w) = w**2 - 16*w. Let a be (-4)/6*33/(-22). Suppose 0 = 2*i + 4*o - 20, i + 5*o = -0*o + a. Let t be l(i). Solve 3*k = -t*k + 12 for k. 4 Suppose -24*c + 128 = -8*c. Suppose c*p = -4 + 4. Solve -13*k + 9*k - 4 = p for k. -1 Suppose 2*l = 4*k - 144, 4*l - 3*k - k = -288. Let r = 80 + l. Solve -r = m - 3 for m. -5 Let s(g) = -1704*g + 5167. Let t be s(3). Solve -t = 19*y - 207 for y. 8 Let v(g) = -2*g**2 - 186*g - 964. Let s be v(-86). Solve -235*y + s*y = -30 for y. -6 Let z(d) = -5*d - 80. Let t(k) = 3. Let l(f) = 3*t(f) - z(f). Let j be l(-17). Solve j*u - 2*u = 4 for u. 2 Let c be ((-7)/42 - (-1)/6)/1. Suppose 5*b - 11*b - 18 = c. Let y be 4/(b + -1)*-4. Solve d = -d - y for d. -2 Let s = 459 + -454. Suppose -3*z = 5*u - z - 123, 0 = s*u - 4*z - 99. Solve 13 = -2*h + u for h. 5 Let y = -48 - -53. Suppose -2*n - 7 = -y*r - 6*n, -n = -4*r + 14. Let t be 18/(-12)*(-2)/r. Solve 5*i + t = 4*i for i. -1 Let r be (1 - -12) + (-32)/16. Suppose 7 = 6*h - r. Solve -8 = -f - h*f for f. 2 Suppose 22*p + 470 - 558 = 0. Solve -1558 = -p*r - 1526 for r. 8 Let x(f) = -5*f**2 + 8*f - 2. Let u be x(2). Let h be (0 + 0)/(u/(-3)). Let z be 12 - 2/(-4)*-4. Solve 2*a + h*a + z = 0 for a. -5 Suppose c - 2*u = -360, 2*u + 0 - 4 = 0. Let r = c - -360. Suppose -4*f - 2*j + 29 = 3*j, 4*f - j = 23. Solve -f - 2 = -r*t for t. 2 Suppose 10583*t + 46 = 10606*t. Solve -t*i - 3 = -5 for i. 1 Let t be 2/4*(-2 + 4). Let b = 0 + t. Let w be 176/(-1320)*(-27 + 1 - 4). Solve -7 - b = w*a for a. -2 Suppose 4*s - 5*x - 156 = 0, 0 = -5*s + 165*x - 161*x + 195. Solve -51*u + 64*u = s for u. 3 Let r be 2/(-8) + 232/32 + (68 - 6). Solve 40 = 77*t - r*t for t. 5 Let u be 1 - 1/1*21. Let x = u - -35. Suppose 249*t + 40 = 244*t - 4*s, -4*t + 40 = -4*s. Solve -3*m + x = -t*m for m. 5 Let v = -171 - -175. Suppose 5*q + 11*w = 8*w + 69, -q = v*w - 24. Suppose 0 - 3 = -z. Solve z*h - q = -h for h. 3 Let g = -1962 - -2028. Solve g = 32*b - 21*b for b. 6 Let s(f) = f**2 - 2*f**2 - 5*f - f + 2. Let x be s(-6). Suppose 43*n - 45*n - 2 = -5*a, 0 = 13*a - n - 22. Solve -x*b = a*b for b. 0 Suppose 23*v = 21*v + 4. Suppose -4*x = 5*g - 24, 4*g + 0*x = -v*x + 24. Let k(w) = -w**3 + 8*w**2 + 2*w - 11. Let b be k(g). Solve b*j = j + 16 for j. 4 Suppose 0 = -197*w - 149*w + 147050. Solve 5*q = -385 + w for q. 8 Let d(k) = 2*k - 3. Let q be d(3). Suppose 2*f + 4*h - 12 = 0, 3*f - h + q = 4*f. Solve f = -2*u - u + 9 for u. 3 Let r(o) = o**3 + 4*o**2 + 7*o + 17. Let z be r(-3). Solve -z*a + 11*a = -9*a for a. 0 Suppose -3*q - 6 = 0, 0 = 5*a + 5*q - 10*q + 190. Let g = a + 50. Suppose -g + 4 = -3*y. Solve 5*u = y*u - 3 for u. -1 Let x be 11398/164 - (3/(-2) - -1). Solve -2*f = 64 - x for f. 3 Let f = 2183 + -2151. Solve 0 = 25*t + f - 7 for t. -1 Suppose 113 = -5*g - i, 2*g - 3*i + 32 = -3. Let y = 52 + g. Suppose 10 = 3*z + 4*s, -z - 3*s - y = -5*z. Solve -z = l + 2*l for l. -2 Suppose -3*i + 8 = -h, -3*i + 3*h = 2*i - 16. Let a(l) = -23*l - 176. Let v be a(-8). Solve -v = 5*b + i for b. -2 Let g = -118 + 148. Let v = g + -30. Solve v*q = -3*q for q. 0 Let o(w) = -173*w - 846. Let l be o(-5). Solve 16*a = l*a + 6 for a. -2 Let t = -214 - -217. Let b be t/2*(1520/(-12))/(-10). Solve b - 14 = 5*c for c. 1 Let d(g) = 58*g - 454. Let k be d(8). Solve -9*w + 7*w = -k for w. 5 Suppose 30*q - 35*q - 9 = 3*i, -3*q = -3*i - 9. Suppose 4*x + q*x - 145 = -5*h, 5*h + 135 = 4*x. Solve -x = -7*w - 0*w for w. 5 Let o = 15 - 10. Let n be 36/16*(-32)/(-12). Suppose -9*h = -n*h - 57. Solve -o*y - 6 = h for y. -5 Let t(k) = 2*k**2 + 29*k - 48. Let u(g) = -18*g**2 + 3*g - 1. Let d be u(1). Let f be t(d). Solve -5*b + b - 20 = f for b. -5 Let u = -26 + 24. Let n be u/(8*1) - 899/(-124). Solve 5 = 4*a - n for a. 3 Suppose 2*w + d = -3*w + 24, 5*w = 5*d + 30. Let c = 53305 + -53304. Solve w*a = -11 + c for a. -2 Suppose 0 = 5*g - 2*b + 4, -3*g + 6*g + 4*b - 8 = 0. Solve 40*w - 70*w - 210 = g for w. -7 Suppose 0 = 10*r - 11*r - 4*l + 4, 3*l = 0. Solve -r = -2*f - 16 for f. -6 Let h = -21288 + 21302. Solve 22*s + 180 = -h*s for s. -5 Let f(k) = k**3 - 2*k**2 - k + 9. Let h be f(3). Let o(r) = r**2 - 13*r - 31. Let g be o(h). Let a(m) = 6*m**2 - 1. Let q be a(g). Solve -2*j = q + 1 for j. -3 Suppose -7*c = f - 2*c - 22, -2*c = 5*f - 41. Suppose 5*z = f*z - 50. Let b(o) = o**3 - 26*o**2 + 26*o - 25. Let j be b(z). Solve -2*k - 4 = -j for k. -2 Suppose 187 - 272 = -5*j. Solve -11*v - j - 16 = 0 for v. -3 Let d(u) = -191*u - 3245. Let p be d(-17). Solve 4*a = -p*a + 12 for a. 2 Suppose 48 = -16*s + 8
{ "pile_set_name": "DM Mathematics" }
by a. 22 Suppose 0 = -k - 4*k - 5. Let q be 45/1 + k*3. Let n = q + 15. What is the remainder when n is divided by 15? 12 Calculate the remainder when 112 is divided by (1 - -28 - -2 - -1) + 7. 34 What is the remainder when 198 + -9 - (-9 + 1) is divided by 100? 97 Suppose 2*h - 78 = h. Let m(s) = -53*s + 16. Calculate the remainder when h is divided by m(0). 14 Let m(l) = -298*l**3 + 61 + 2*l**2 + 297*l**3 - 17 - l**2. Suppose 3*d = -0*d + 69. What is the remainder when m(0) is divided by d? 21 Let x = -28 - -5. Let t = -3 - x. What is the remainder when t is divided by 8? 4 Let m(k) be the second derivative of k**4/12 + k**3/6 + 15*k**2 + 15*k. Let c be (-1)/(-3) + 2/(-6). Calculate the remainder when m(c) is divided by 11. 8 Let m(z) = -z**3 + z**2 + 14. Suppose 4*h + 5*b = -52, -5*h - b = -3 + 68. Calculate the remainder when (h*2*12/8)/(-1) is divided by m(0). 11 Let a(f) = -f**3 + 7*f**2 - 2*f - 11. Let p be a(6). Let i(q) = -2*q + 29. Let d be i(p). Suppose o + 22 = d*o. Calculate the remainder when o is divided by 4. 3 Suppose -577*y = -591*y + 7686. Calculate the remainder when y is divided by 69. 66 Let y(o) be the first derivative of -o**2/2 + 12*o + 13. Let f be y(-6). Let u = f - 16. What is the remainder when u is divided by 1? 0 Let q = 3 + -7. Suppose -3*a = -f - 94, -2*a = 3*a + 4*f - 185. Calculate the remainder when a is divided by (-129)/(-15) + q/(-10). 6 Let f(g) = 2*g**2 + 47*g - 285. Calculate the remainder when f(6) is divided by (-4)/(-2) - (-24 - 0). 17 Let j = 102 + -83. Let w(m) = m - 10. Let c be w(7). What is the remainder when (-221)/c - (-5)/15 is divided by j? 17 Suppose 5*t - 84 - 51 = -5*f, -4*f + 128 = -t. Let s = 34 - f. What is the remainder when s is divided by 1? 0 Let f = 18 - 11. Let r = -2 + f. Suppose -r*l - 44 = -239. Calculate the remainder when l is divided by 20. 19 Let x = 1392 + -1390. Let o = -2 + 3. Calculate the remainder when x is divided by o. 0 Let f(j) = 31*j**2 + 3*j + j - 16 - 59*j**2 + 31*j**2. Calculate the remainder when f(4) is divided by 25. 23 Suppose 0 = -6*k + 10*k + 232. Let y = k + 71. Suppose 2*g + j + 1 - 11 = 0, 5*g - 4*j - 51 = 0. Calculate the remainder when y is divided by g. 6 Let l = 1234 - 482. What is the remainder when l is divided by 29? 27 Suppose -a + 2*q = -25, 0 = 2*a - 5*q + 24 - 78. Calculate the remainder when (-3)/(0 + 1/(-11)) is divided by a. 16 Let o = 516 - 464. What is the remainder when 252 is divided by o? 44 Suppose 17*h - 15 = 16*h. Suppose -11 = -4*x + 1. Suppose x*r - 88 = r. What is the remainder when r is divided by h? 14 Let h(m) = 33*m + 180. What is the remainder when 118 is divided by h(-5)? 13 Let k = 25 - -12. Calculate the remainder when 151 + (7 - 11 - 0) is divided by k. 36 Suppose 2*i - 3*l + 2*l - 89 = 0, -i + 4*l + 62 = 0. Suppose -6*o + 234 = 3*o. Suppose -4*c = -i - o. What is the remainder when 65 is divided by c? 14 Let j = -99 + 221. Let p = 113 + -82. What is the remainder when j is divided by p? 29 What is the remainder when 102/10 + (-90)/(-50) is divided by 6 - (4 - (-2 + 4))? 0 Let v = 55 - 30. Let f be 15/(-5) - (1 + -6). Suppose f*o = -o + 27. Calculate the remainder when v is divided by o. 7 Suppose -5*f + f = -5*n - 226, -5*f = -3*n - 289. What is the remainder when f is divided by 6? 5 Let u(m) = m**2 + m - 3. Calculate the remainder when 210 is divided by u(5). 21 Let w = 127 - 20. Calculate the remainder when w is divided by 21. 2 Suppose -a = -73 + 11. Calculate the remainder when a is divided by 25. 12 Suppose 7*g - 150 = 200. Suppose -c + 8 = -5. Calculate the remainder when g is divided by c. 11 What is the remainder when 1090 is divided by (10/20 - 2)/(9/(-312))? 50 Let d be -2 - (3 + -1 - 4). Let a(x) be the first derivative of x**2 + 65*x + 135. Calculate the remainder when a(d) is divided by 22. 21 Suppose 5*f = -4*y - 1 + 4, -y - 1 = 3*f. Let n(p) = -y*p**2 - 5*p + 4*p + 11 + 3. Calculate the remainder when 36 is divided by n(0). 8 Suppose -3*i + 16 = 5*r, -3*r = -5*i - 2 + 6. Suppose -4*z = -3*z + 4*j, -4*j + 8 = i*z. Calculate the remainder when z is divided by 5. 3 Suppose 5*f + 463 = 3*u, -u + 76 = -3*f - 77. Calculate the remainder when u is divided by 23. 18 Suppose 7 - 65 = -2*d. Let c = 78 - 32. Let n = 62 - c. Calculate the remainder when d is divided by n. 13 Let b(m) = -m**3 + 18. What is the remainder when (50*(-6)/42)/((-5)/35) is divided by b(0)? 14 Suppose -5*s = -3*s - 3*d - 226, 5*d = -20. Calculate the remainder when s is divided by 36. 35 Let h(w) = 3*w - 47. Let o be h(11). What is the remainder when o*((-35)/(-2))/(-5) is divided by 10? 9 Let u(h) = -h**3 - 11*h**2 - 2*h + 10. Let d = 11 - 8. Calculate the remainder when u(-11) is divided by 3 - ((-22)/2 + d). 10 Let c = -48 - -48. Calculate the remainder when 184 - 16 - (c + (-1)/(-1)) is divided by 12. 11 Suppose -2*t = 1 - 5. Suppose 0 = t*m - 19 + 5. Suppose 5*r - 38 = m. Calculate the remainder when r is divided by 4. 1 Let y(v) = -2 - 1 + 13 + 8 + 19*v. Calculate the remainder when y(4) is divided by 19. 18 Let v = -1145 + 1205. What is the remainder when 1497 is divided by v? 57 Let v(a) = 4*a**2 - 33*a + 2. Suppose 0 = 3*k - k. Let l = k - -8. What is the remainder when v(9) is divided by l? 5 Let o be (-1215)/(-33) - (-4)/22. Suppose 5*s - 5*q = 145, -o = 3*s - 4*s + 3*q. Suppose -4*l - s = -9*l. Calculate the remainder when 18 is divided by l. 3 Let p(h) be the third derivative of h**6/120 + 13*h**5/60 - 13*h**4/24 + 8*h**3/3 + 24*h**2. Calculate the remainder when 8 is divided by p(-14). 0 Suppose 4*x + 98 = 3*u, u + 2*x - 18 = 7*x. Suppose 807 = 42*i + 261. What is the remainder when u is divided by i? 12 Let r = 16 + -13. What is the remainder when (0 - (-6)/12)*(-1 + r) is divided by 1? 0 Suppose q - 2*q = -15. Suppose 2*n + q = 7*n. Let i(s) = s**3 - 8*s**2 + 8*s - 4. Calculate the remainder when n is divided by i(7). 0 Let b = -116 - -124. Calculate the remainder when 15 is divided by b. 7 Suppose 0 = 7*r + 137 - 543. Calculate the remainder when r is divided by 17. 7 Let c(w) = 31*w - 7. Let s(t) = -3*t - 16. Let b be s(-6). Calculate the remainder when c(b) is divided by 14. 13 Suppose 17*c - 1071 = 323. What is the remainder when c is divided by (-50)/(-3) - (-3)/9? 14 Calculate the remainder when ((-61760)/(-960))/((2 - 0)/6) is divided by 34. 23 Let s be ((-9)/4)/((-2)/16). Let z be (6/s)/((-1)/(-12)). Suppose 0 = z*r - 34 - 30. Calculate the remainder when 29 is divided by r. 13 Suppose 4*k - 697 = 5*j, 0*k + 188 = k - 4*j. Suppose -4*t - 4*h = -236, -4*h - k = -5*t + 100. Calculate the remainder when t is divided by 19. 18 Let h be ((-2)/6)/(1/(-6)). Suppose 124 = 5*i - b, -h*i - i + 74 = -b. Let a = -169 + 243. Calculate the remainder when a is divided by i. 24 Let u = -33 + -22. Let b = 70 + u. Calculate the remainder when 39 + (2 - 8)/(-2) is divided by b. 12 Let t(j) = 2*j - 8. Let i be t(7). Let b = 5 + 0. What is the remainder when b is divided by i - 4/(-4)*-3? 2 Let w = 140 - 31. Calculate the remainder when w is divided by 8. 5 Suppose z - 269 = -4*g, 2*g - 2*z + 93 = 225. Suppose s - 15 = 5*f + 24, 2*f = 5*s - 103. Calculate the remainder when g is divided by s. 10 Suppose -9 - 4 = i + 5*f, 3*i + 2*f = 0. Suppose 0 = -2*o - 3*o + 50. What is the remainder when 2 + 0/i + 16 is divided by o? 8 Let y(n) = n**3 + 6*n**2 - 7*n - 7. Suppose -54 = -3*w + 2*v, w - 5 - 13 = -3*v. Calculate the remainder when y(-5) is divided by w. 17 Let f = 16 + -4. Let m be f/(-4) + (2 - -18). Calculate the remainder when 83 is divided by (m - 14) + (-25)/(-1). 27 Let w be 2*(5 - (3 - -1)). Suppose 2*t + 2*m - 19 = 111, 2*m + 118 = w*t. Calculate the remainder when t is divided by 8. 6 Let k be (1 - 4)*(-25)/15. Suppose 24 = -k*o + 4. What is the remainder when o/(-22) - (-1611)/33 is divided by 17? 15 Let g = 1 + 5. Let t(v) = -49*v + 3 - v**2 + 0 + 56*v. What is the remainder when 26 is divided by t(g)? 8 Let a be (32 - 36) + (-2 + 1 - 4). Let w(s) = 2*s + 4. Let x be w(4). Let d = x + a. Calculate the remainder when 13 is divided by d. 1 Let b(c) = c**2 + 11*c + 2. Let s be b(-11). Suppose -128 = -0*n - s*n. Let d(j) = 3*j**2 - 4*j + 2. Calculate the remainder when n is divided by d(3). 13 Suppose 0 = -2*k + 38 - 8.
{ "pile_set_name": "DM Mathematics" }
*(-2) assuming k is positive. k**(3176/945) Simplify ((g*g**2*g)**(26/3))**(-4/25)/(((g/g**(-2/9))/g)**(-18))**(-42) assuming g is positive. g**(-13016/75) Simplify (((c/(c/(c**(11/5)*c))*c)**34)**27)**30 assuming c is positive. c**115668 Simplify ((g**(-1)/g)**5)**21*((g**(-1/2))**1)**(-45) assuming g is positive. g**(-375/2) Simplify ((l/l**(-1/2)*l)**34)**38/(((l**1/l)/l)**(16/3)/((l*l*(l**0/l)/l*l)/l)**25) assuming l is positive. l**(9706/3) Simplify (u**(-2/5))**(-27)/(u/(u*(((u/u**(-1/4))/u)/u)/u*u)*u*u**(-2/5))*(u**2/(u/(u*u**(-3)/u*u*u)))/((u**6/u)/((u/(u*u**3/u))/u)) assuming u is positive. u**(29/20) Simplify ((v/(v**(-31)/v)*(v/(v*v*v*v**34/v*v))/v)/(v**(-20)/(v*v**(-35)*v)))**(-17) assuming v is positive. v**289 Simplify ((w**(1/18)*w)**(-1/2)*w**(-2/21)*w*w**(1/13)/w)**48 assuming w is positive. w**(-7156/273) Simplify ((r/((r/((r/(r/r**(1/4)))/r*r))/r))**(-35)/(((r*((r**(-9/4)*r)/r)/r)/r)/r**(-12/7)))**22 assuming r is positive. r**(-6501/7) Simplify (((g**(11/6)*g)/g**(-1/18))/(g**(-4)*g*g**(-9/5)/g*g*g))**(-2/19) assuming g is positive. g**(-602/855) Simplify ((j/((j**(-2)/j)/j)*j**3)/(j*j**0)**19)**(-16) assuming j is positive. j**176 Simplify (((v**4)**(-40)/((v/(v/v**13)*v)/v**4))**(3/14))**(-22) assuming v is positive. v**(5610/7) Simplify ((o*o**38*o*o)/(o/(o**(-21)*o))*o/(o*o**(-39)*o)*o**(-4/3))**(-44) assuming o is positive. o**(-7480/3) Simplify ((n*n**3)**(-3/19)*(n**(2/9)*n)/n**16)**28 assuming n is positive. n**(-73780/171) Simplify (c/c**4)/(c/((c*c**(1/9))/c))*c**(-5)/(c*c**(-2/7))*(c/(c/c**(2/3))*c)**48*c**(-4)/(c/(c*c**(-2/13))) assuming c is positive. c**(54253/819) Simplify (l**2/l)**(20/9)*l**1/l**(2/23)*((l*l**(-1/4))**(-1/10))**(-24/5) assuming l is positive. l**(18088/5175) Simplify ((z**(2/17)/z*z)/(z**(2/21)*z))**(-6/7)/((z*z**(-1/3)*z)**(-23)/(((z*z/z**(-3/4))/z)/z**5)) assuming z is positive. z**(359069/9996) Simplify (i**(-2)/i*i*i**6/i*(i**(-2/9)/i*i)/(i/i**(-2/5)))/(i**(-1/3)/i*i/i**(-8)*i*i)**(-5/8) assuming i is positive. i**(2671/360) Simplify (((u/u**(-4))/(u**(-2/21)/u)*u/u**(-5)*u/(u/(u**11/u*u*u)))**(-6/5))**(-1/13) assuming u is positive. u**(1012/455) Simplify (b/(b**(-2/15)*b)*b*b**(-10)*b*b*(b**(1/13)*b)**(-1/14))**(3/8) assuming b is positive. b**(-677/260) Simplify v/v**(-2/73)*v**(-8)/v*(v**(2/85))**(-2/137) assuming v is positive. v**(-6777682/850085) Simplify (((u*u/(u*u*u*(u/((u**(2/3)*u*u)/u))/u*u)*u)**19*u**9/u**(-6))**12)**(1/14) assuming u is positive. u**(166/7) Simplify ((x**(2/9)/x**(-11))/(x**(-1/11))**(1/23))**(-22) assuming x is positive. x**(-51124/207) Simplify (i**(-22)/(i*i**18/i*i))/(i**(-3/2)*i**(-40)) assuming i is positive. sqrt(i) Simplify l**(-2/9)*l*(l**3/l)/l*(l**0)**(-40)*(l**0*l*l**2)/(l**0/l)**(14/13) assuming l is positive. l**(685/117) Simplify (q/(q*q*(q**1/q)/q))**(1/5)*q**(-5)*q**(2/9)*(q*q/q**(-6)*q)/(q/(q*q*q/(q/q**5))*q)*q*q**6*q**1 assuming q is positive. q**(155/9) Simplify (((v**34*v)/v)**(-9)*(v**(-42))**44)**(22/3) assuming v is positive. v**(-15796) Simplify ((u*u**0*u)**(-3/10)/(u**1)**(2/45))/((u**(1/4))**3/(u**1)**(4/7)) assuming u is positive. u**(-1037/1260) Simplify (h**(1/2)*h**(-6))/((h*h**(-7)*h)/(h/(h*h**1)*h))*h**(6/5)*h**4*h**7*h**(-4) assuming h is positive. h**(77/10) Simplify (((s*s/(s**1*s))**(-21/2)*s**(-6)*s/(s/(s*s**(-2/7))*s))**(-12/5))**(-50) assuming s is positive. s**(-5280/7) Simplify ((f**(2/5)/(f*f/(f*f*f**(3/10))))/(((f**(-1/17)*f)/f)/(f**(-7/4)/f)))**(-3/2) assuming f is positive. f**(2031/680) Simplify ((f**(-2))**(-1/11)/(f**8/f)**(2/49))**(2/11) assuming f is positive. f**(-16/847) Simplify ((f*f**2)/f**3)**(-39)/((f**1/(f**(1/3)*f))/(f*f**(-8)*f*f**(3/2))) assuming f is positive. f**(-25/6) Simplify l**(-22)/(l/((l**(-28)*l)/l))*l/(l/(l**(2/113)/l))*l**(-1/28) assuming l is positive. l**(-164585/3164) Simplify ((f**23)**(-35)/((f**(-37)*f*f)/f**(-3/23)))**(-28) assuming f is positive. f**(495964/23) Simplify t**2*t**(-1/3)/t*(((t/t**(-1))/t)/t)/(t*t**(-4))*((t*t**(1/7))/t**(-1/3))**(-3/14) assuming t is positive. t**(985/294) Simplify ((f*f*f**2)**(10/9))**(-1/28)*(f*(f/f**(2/7))/f)**46*(f*f**(1/3))/f**(1/6) assuming f is positive. f**(4267/126) Simplify ((y**(-6)*y*y**(-3/10)*(y*y/y**(-6))/y**4)**(-10/17))**(-25) assuming y is positive. y**(-325/17) Simplify (((y**(-2/19)*y)/((y*y*y*y*y*y**(1/7)*y)/y))/((y**0*y)/y**(3/7)))/(y**(-7)/(y*y/((y/y**(3/5))/y)*y)*(y/y**(2/5))**(-3)) assuming y is positive. y**(5041/665) Simplify ((q**(-1/2))**40/(((q*q**5)/q)/q**6))/((q/(q*q**(-1/9))*q**(1/2))/((q/(q**(2/3)*q))/q)**(-33/4)) assuming q is positive. q**(-211/36) Simplify ((i**(-2)*i**(2/9))/(i**(2/3))**(-22))/((i**(-1/4)*i)**(-24))**42 assuming i is positive. i**(6920/9) Simplify (((l**(-8)/l**(8/7))/(l**0)**(2/27))**(-14))**(2/27) assuming l is positive. l**(256/27) Simplify (j**(-4/9)*j*j**(1/4)/j*j*j*j*j**(-3)*j*j/j**0*j)/((j**1)**(2/101))**(-11/4) assuming j is positive. j**(10399/3636) Simplify (k**(-6/7)/k**(2/5)*(k**(-14))**(-1/11))**(-3/16) assuming k is positive. k**(-9/3080) Simplify ((z**0)**(-3/13)/(z*z/(z**(-2/9)*z))**(-6/5))/(z**(-1/14)/z**(-3/14))**(-1/8) assuming z is positive. z**(1247/840) Simplify ((v/v**(-5))/v*v**(2/7))/(v*(v**0/v)/v)**(4/19)*(v**(-1/11)*v**0)/(v**(-2/15)/((v**3/v)/v)) assuming v is positive. v**(143491/21945) Simplify (((a*(a*a**(-1)*a)/a)/(((a/(a/(a*a**(2/5))*a)*a)/a)/a))/((a**(-1/4)*a)/a**5))/((a**(-2/9))**(-32/7))**(-19) assuming a is positive. a**(31691/1260) Simplify ((f*f**(-4/5)/f)/(((f**(2/11)/f)/f*f)/f))**(3/14)*(f/((((f**(-1/4)/f)/f)/f*f)/f))**20*((f*f**(-1)*f)/f)**(2/13) assuming f is positive. f**(4687/55) Simplify (a*a*a**16*a/(a*((a*a**(-35)*a)/a)/a))/(a**(-42)*a**43) assuming a is positive. a**52 Simplify (c**(2/15)*c*c**(1/9)*c*(c**(-7)*c*c)/c**(-1))/((c/(c/(c**0*c)*c))**5*(c**(2/7))**44) assuming c is positive. c**(-4513/315) Simplify (o**(-1/11)/o**5*(o*o/(o/(o**6/o)))/(o**1*o))/(o**(1/3)/(o/(o/o**(2/31))*o))**(1/11) assuming o is positive. o**(-1048/1023) Simplify (((r*r*r**(1/2)/r)**(-22)/((r**(-1/5)/r)/r)**(-29))**(-2))**(-34) assuming r is positive. r**(-32912/5) Simplify ((n*n/(n/((n**(1/19)/n)/n)))/(n/n**(-13))*n**(2/11)*n*n**(-1/11))**(-18) assuming n is positive. n**(52128/209) Simplify ((f/f**(-12))/(((f*f**(3/7))/f*f)/f)*((f/f**(1/3))/f)/(f*f**(2/39)))**(-27) assuming f is positive. f**(-27486/91) Simplify ((k**(-24)*k)**(-2/15)/(k**36/(k/k**19)))**(-2) assuming k is positive. k**(1528/15) Simplify ((c**(5/8)/c)**(-25)/(c**3/(c/(c/(c**(-32)*c)))))**32 assuming c is positive. c**(-788) Simplify x*((x/x**(1/6)*x*x)/x)/x*x*x*x/x**1*x*x**(-3)*x**(-1)*((x/(x*x/(x/(x**(-2)*x))))/(x/x**(-2/21)))**(-1/21) assuming x is positive. x**(739/882) Simplify ((x**(-2))**(2/11)*x**5/x*x**(1/7))**3 assuming x is positive. x**(873/77) Simplify ((l**0)**(3/13))**(7/4)*(l**(-1/4)*l)**(-9)/(l**(-5)*l**(-2/3)) assuming l is positive. l**(-13/12) Simplify ((l*l*l**(1/10)/l)/(l/(l/l**(1/24)*l))*l*l*l/l**35*l/((l*l**(-27)*l)/l)*l)**(8/7) assuming l is positive. l**(-233/105) Simplify ((c**1)**22/(c**(1/13)*(c**(-8)*c)/c))/(c**(-1/12)/((c/c**(-5/2)*c)/c))**(14/9) assuming c is positive. c**(24919/702) Simplify ((m**(2/5))**(-2/15))**(-15/2)*(m/(m**(-2)*m*m)*m**(-1/11))**(5/3) assuming m is positive. m**(316/165) Simplify ((o/((o/o**1)/o*o))**(-12)/((o/(o*o/o**13))/(o/((o/(o**(-12)*o*o))/o))))**(2/59) assuming o is positive. o**(-66/59) Simplify (((b**16/b*b)/b**(-1/12))/((b*b**(-6/11)*b*b)/b)**4)**(-5) assuming b is positive. b**(-6775/132) Simplify (u/u**(-4)*u**(-1/3))**(-2/17)*(u*(u*u**(-2/7)*u)/u)**20/(u**(2/5)*(u/(u**(3/4)/u))/u) assuming u is positive. u**(236239/7140) Simplify ((a**0)**(-30))**(-2/117)*(a/(a*a**6)*a**1/a)/((a**(1/4)*a)/(a/(a**(1/5)*a))) assuming a is positive. a**(-149/20) Simplify ((((h*h**(-4)*h)/h)/h)**(-8/7))**(2/69)*((h**(6/5)/h)/h**8)/(h/h**6*h*h/(h**(-1/5)*h)) assuming h is positive. h**(-1868/483) Simplify ((c**5*c**(-1/8)/c)/((c*c**5*c)/((c**(-2)/c)/c)))/((c**1)**20)**(-2/155) assuming c is positive. c**(-1703/248) Simplify (y**39)**6/(y**(-4/19)*(y/y**(-3/8))/y) assuming y is positive. y**(35543/152) Simplify (l**(-4)/l**(-3))**(-6)/(l**(-1/8)/(l*l**(-2))*(l**2*l)**(-4/15)) assuming l is positive. l**(237/40) Simplify ((u**(-2/19)*u)/(u/((u/u*
{ "pile_set_name": "DM Mathematics" }
(-376)/704)/(0 - 1)? 88 Suppose 188*i = -74*i + 42*i + 84480. What is the lowest common multiple of i and 64? 384 Let h = -32064/17 - -3767/2. Find the common denominator of -13/734 and h. 12478 Let j = 174 + -171. Calculate the least common multiple of 570 and j. 570 Let o = 536849/7771140 - 127/3645. Find the common denominator of o and 113/40. 21320 Calculate the common denominator of 29/148 and ((2340/6993)/(-20)*-9)/((-20)/(-14)). 740 Suppose 36*k = 32*k - 76. Let c = 51 - k. What is the lowest common multiple of c and 2? 70 Let h = 1387 + -1377. Let j be 57/12 - 1/(-4). Suppose 0 = -t + 2 - j, 4*c = -3*t + 23. Calculate the least common multiple of h and c. 40 What is the lowest common multiple of 580 and 2/(-9) - (-47)/(9306/2024)? 580 Let g = 143 + 103. Suppose -11*x + g = -18. Calculate the least common multiple of 42 and x. 168 What is the lowest common multiple of (10 - 112)/((-6)/12*1) and 204? 204 Suppose 6*j - 17 - 37 = 0. Let f be (6/j*18)/((-9)/12). Find the common denominator of 115/(-10)*(-1)/((-30)/f) and -49/12. 60 Let z = 63 + -182. Find the common denominator of (-3)/((-54)/z) - -2 and -49/104. 936 Let h = 1362529/62418 - -44/10403. Let n = -57 + -17. Calculate the common denominator of 0 - (-1 - n/(-68)) and h. 102 Let k be (-6)/9*3*1. Let i = -441 + 446. Calculate the least common multiple of (-1)/(k*i/30) and 8. 24 Let q(x) be the third derivative of x**6/120 + x**5/15 - 11*x**4/24 + 2*x**3 - 25*x**2. What is the lowest common multiple of (24/(-15))/((-1)/10) and q(-6)? 48 Suppose 4*j + 45 = 13*j. Calculate the lowest common multiple of 10 and 102 + -2 + (j - 6). 990 Suppose i + 2 = 12. Suppose -4*a = -46 + i. Let p(x) = -106*x - 416. What is the smallest common multiple of a and p(-4)? 72 Find the common denominator of 41/250 and (-504)/(-1120)*(-256)/(-60). 250 What is the common denominator of 21/2 and (-10)/15 + 15/261000*11366? 2900 Calculate the common denominator of (16/(-36))/(1/(-18)) - (-1198)/(-120) and 38/9*(-3)/(-4). 60 Let f = -5/15844 + -1132831/47532. Calculate the common denominator of f and (-538)/(-1920) - (-4)/(-10). 192 Let b be -1 + (71400/(-17852) - -5). Let f = b + -174067/22315. What is the common denominator of f and -3 + ((-80)/(-44) - 0)? 55 Let k = -18318 + 19794. Calculate the smallest common multiple of k and 8. 2952 Let j(k) = -k**2 + 235*k + 11744. Calculate the smallest common multiple of j(-42) and 65. 1430 Calculate the lowest common multiple of 192 and (-14 - 176/(-12))*369. 7872 Calculate the common denominator of (154/60)/(22320/(-1080)) and 9/620. 620 Let t be (10/(-6))/(5*4/(-36)). Let r(g) = 3*g**3 - g**2 - 1. What is the lowest common multiple of 10 and r(t)? 710 Let x = -16746 - -16766. Calculate the smallest common multiple of 1736 and x. 8680 Calculate the common denominator of -109/120 and (-262)/(-120)*(-35)/42. 360 Let l = 33 - 27. Calculate the lowest common multiple of 12 and (-62)/(-5) - l/15. 12 Let l = -12856 - -12883. Let o(k) = -14*k + 116. Let q(j) = -5*j + 39. Let z(r) = 4*o(r) - 11*q(r). What is the smallest common multiple of z(l) and 10? 40 Let h = -2912/1231 + -550519456/43085. Let q = 12779 + h. Find the common denominator of -13/30 and q. 210 What is the least common multiple of ((-330)/18 - -18)/(0 - 2/810) and 96? 4320 Calculate the smallest common multiple of 300*7/((-462)/(-440)) and 100. 2000 Let h = 272345/1859 + -3/3718. Let i = h - 174. What is the common denominator of 49/438 and i? 438 Let c(n) = n + 43. What is the least common multiple of 36 and c(13)? 504 Suppose -q + 5*l = -37, 4*q + 45 = -2*l + 215. Suppose 187*d = 101*d - 100*d + 10044. What is the smallest common multiple of q and d? 378 Let h = -90 + 94. Suppose 0 = z - h*n - 23, -4*n + 0 = 3*z + 11. Calculate the least common multiple of 56 and z. 168 Let j = -4/9757 - 8595905/29271. Let t be (66/(-9))/(8/312). Let n = t - j. Calculate the common denominator of n and -1/6. 6 Let v = 401/975 + -167/130. Find the common denominator of -83/1550 and v. 4650 Suppose -5*n = -4*w + 18, 0*n - 5*n - 8 = w. Suppose -740 = 3*z + 2*c - 7*c, -z = -w*c + 248. Find the common denominator of -25/18 and z/32*25/18. 36 Let m(z) = z**3 + z**2 + 4. Let c(y) = 10*y**2 - 70*y + 7. Let j be c(7). Suppose j*t - 54 = 9. What is the lowest common multiple of m(0) and t? 36 Let j = -568 - -27311/48. Calculate the common denominator of j and 77/423. 6768 Let a = 1167222157/585 + -17992418/9. Let w = a - -11720/3. What is the common denominator of -4/55 and w? 715 Suppose 7*x = 9195 - 270. Let k = 19166/15 - x. Calculate the common denominator of k and (-2)/18*38/(-3). 135 Calculate the least common multiple of 4/(-30)*-3*30 and 12/(-56) + (-15)/((-3150)/3405). 48 Let t(l) = l**3 - 3*l**2 - 5*l + 2. Let a = 3528 - 3516. What is the lowest common multiple of t(5) and a? 108 Let y = 28898 + -40818. Let a = 429209/36 + y. Let l = -9636 - -115483/12. What is the common denominator of l and a? 36 Suppose -w + 92 - 90 = 0. Calculate the smallest common multiple of 40 and w. 40 Let u(n) = -n**3 + 13*n**2 + 14*n + 2. Let z be u(14). Let c be (z - 613/308)/(30/(-48)). Let r = -16609/3465 - c. Find the common denominator of r and 121/18. 18 Suppose -29 + 89 = 2*m. Suppose m*p = 25*p + 215. What is the common denominator of (-1)/(-27)*p - (-14)/21 and -83/15? 135 Let y = 647 + -618. Suppose 0 = -y*p - 610 + 1770. What is the smallest common multiple of p and 96? 480 Let b = -327 + 576. Calculate the smallest common multiple of b/21 + (-54)/63 and 53. 583 Let b(w) = -w**2 + 3*w + 28. Let v be b(-5). Calculate the common denominator of ((-3)/((-204)/5))/(9/v) and -109/78. 1326 Let r(c) = -c**2 - 681*c + 1372. Let g(l) = -l**2 - 5*l + 2. Let f be g(-5). What is the lowest common multiple of r(2) and -2*1*(-2 - f)? 24 Let x = 225112046 - 17333929013/77. Let j = 3915 + x. Calculate the common denominator of 17/35 and j. 385 What is the common denominator of (1086/(-385))/(-2) - (78/(-4) - -21) and 85/28? 1540 Let l = 2/78209 - -1250494/33238825. Find the common denominator of 1/765 and l. 3825 Let w = 169 + -167. Suppose -6*x = -w - 40. What is the least common multiple of x and 21? 21 Let q = 2836 + -1471. Calculate the lowest common multiple of 195 and q. 1365 Let j be 3/(0 - (-12)/20). Suppose 0 = -5*q + 2*w - 12, j*q + 15 = 5*w - 0. Find the common denominator of 58*q/240 + 4/6 and -127/6. 60 What is the common denominator of (-248)/2852 - 1083/6854 and -46/41? 12218 Let h = 15916 + -15386. Calculate the lowest common multiple of h and 90. 4770 Suppose -4*i - 3*n = -32, 60 = -6*i + 10*i - 4*n. Suppose x + i = 14. Let t(m) = 17*m**2 + m + 2. Calculate the smallest common multiple of x and t(-1). 18 Let r = 525 + -368. Let s = 251 - r. Let w = s - 56. Calculate the least common multiple of w and 6. 114 Let i = 9402397/53669136 + 7/131542. Calculate the common denominator of -139/2244 and i. 8976 Let h = 1514 - 1512. What is the lowest common multiple of 1844 and h? 1844 Let b be (-95121)/(-30) + 1*-3. Let n = -8679 - -5507. Let x = n + b. Find the common denominator of 67/2 and x. 10 Suppose -5*g + 4*u + 15748 = 51670, 5*u - 15 = 0. Let o = 2/21984493 - -3313920490285/461674353. Let i = g + o. What is the common denominator of i and -31/12? 84 Let d = 202773422/651 - 311480. Find the common denominator of d and 91/124. 2604 Let k be 2/(20/70 - (-212)/(-840)). Let a = k + -208/3. What is the common denominator of a and -11/129? 129 Calculate the common denominator of 137/96 and ((-428)/84 - -5) + (-2207)/(-462). 1056 Let f(h) = -16 - 27 + 8 - 5 + 12*h. Let r = 45 - 29. What is the least common multiple of f(8) and r? 112 Let c = -10785 + 11905. Calculate the lowest common multiple of 2464 and c. 12320 What is the common denominator of ((-50481)/(-2295) + -22)/(4/205) and 193/1020? 1020 Let o = -4/1987 - 57359/131142. Let g = -680/79 - -17858/2607. Calculate the common denominator of g and o. 66 Calculate the lowest common multiple of 180 and ((-1176)/(-11))/(342/1881). 8820 Suppose 15*u - 26*u = -2200. Suppose 7*v = u - 109. What is the least common multiple of 7 and v? 91 Let h be (-5 + 119/7)/(2/30). Let a = h + -170. Calculate the lowest common multiple of 3 and a. 30 Let d(n) = -n**2 + 12*n + 66. Let k be d(16). Let u be
{ "pile_set_name": "DM Mathematics" }
b = -o*b + f for b. 5 Suppose 24 = -6*o + 3*o. Let a = 10 + o. Suppose -j + 4 = -4*p, 0 = a*j - p - p - 2. Solve j = -3*b - 5 + 2 for b. -1 Let g(c) = 2*c**2 - 2*c - 2. Let x be g(2). Solve -x*m = -4*m + 6 for m. 3 Suppose -4 = -u - 2. Suppose 2*g = -u - 0, 19 = 2*m - 3*g. Solve 4 = 4*x - m for x. 3 Suppose s = -38 + 38. Solve -4*v - 4 + 0 = s for v. -1 Let m = 8 - 4. Solve 0 = m*c + 4 for c. -1 Let r be (-1 - -2) + 2 + -2. Suppose r = -o - 7. Let j be o/((-1)/(1/2)). Solve j*x + 4 = 8*x for x. 1 Let n be (-6)/(-4)*4/3. Suppose -3*j - n*j + 20 = 0. Suppose -2*w - 6 = -j*w. Solve 0 = -w*g + 7*g - 12 for g. 3 Suppose -5*h - 11 - 4 = 0. Let t = 0 + h. Let d be 3*((-24)/9 - t). Solve -r = d + 4 for r. -5 Suppose 3 + 2 = -5*s. Let k = 1 + s. Solve -4*q = -k*q for q. 0 Suppose 5*k = -0*i + 2*i + 80, 4*i + 48 = 2*k. Suppose 0*c - c - 5*f - 13 = 0, 22 = 5*c - 4*f. Let v(r) = r + 1. Let p be v(5). Solve k - p = -c*g for g. -4 Let l = -4 + 13. Suppose -i - 5 = -l. Solve o - i = 1 for o. 5 Let t(y) = 5*y**2 + y. Let m be t(1). Suppose 3*c + 29 + m = 4*a, 4*c + 20 = 0. Suppose -a*i = 3*d - 3, 3*i - 9 = -d + 4*i. Solve d*b = b - 15 for b. -3 Let w(i) = i**2 + i + 4. Let l(r) = -r**2. Let d be l(-2). Let o be w(d). Suppose 8*x = 4*x + 164. Solve 5*a = -o + x for a. 5 Let u = -1 - -2. Let r = -17 + 20. Solve r + u = -z for z. -4 Let u(x) = -4*x + 1. Let l be u(2). Let z be (l/(-4))/(6/24). Let d = 11 - z. Solve -d*j = -0*j - 16 for j. 4 Let a = 21 + -17. Solve a*t + 4 = -0 for t. -1 Let n(r) = -r**3 + 6*r**2 - 2*r - 3. Let b = 9 - 18. Let y = -4 - b. Let x be n(y). Solve 3*z - 3 - x = 0 for z. 5 Suppose 4*n - 16 = -w - 2*w, 2*n = 2*w - 6. Solve q + 0*q = w for q. 4 Let b(f) = f**3 - 6*f**2. Let x be b(6). Solve -2*l + 5*l = x for l. 0 Let f(s) = 2*s - 4. Let g be f(4). Solve g*r - 5 = 15 for r. 5 Suppose z = -z. Solve z = 3*a - a for a. 0 Let t be 0*(-3)/6 - -1. Let k be 1/(4/(29 + 3)). Suppose -33 + k = -5*q. Solve -4*m - q = -t for m. -1 Let o be (4 - 4)*(-2)/(-4). Let c be o/3 - 0/1. Solve -3 = -3*i - c*i for i. 1 Let b(r) = -r**2 + 8*r - 7. Let o be b(6). Let s(w) = w - 1. Let d be s(3). Suppose -o*p + 18 = -d. Solve -p*x - 6 = -x for x. -2 Suppose 7 = k + 4. Solve 3*d - k = 9 for d. 4 Let d(x) = x**3 + 7*x**2 - x + 8. Let p be d(-7). Solve 2*c = -3*c - p for c. -3 Let l(g) = -14*g**2 + 11*g - 16. Let j(a) = -3*a**2 + 2*a - 3. Let f(u) = 11*j(u) - 2*l(u). Let v be f(-1). Let k be v*(3 + (-14)/4). Solve -d = k*d + 16 for d. -4 Suppose -4*o - 44 + 56 = 0. Solve -2 = 5*f - o*f for f. -1 Let x(p) = p - 5. Let s be x(6). Suppose r - 3 = -s. Solve r*u + 15 = -3*u for u. -3 Let h(n) = 3*n**2 + 6*n + 5. Let j be h(-4). Suppose 70 = 5*t - 5*k, -5*t + 2*k + j + 26 = 0. Suppose -t = -5*b + 1. Solve 0 = 6*r - 4*r + b for r. -1 Let s = -2 + 4. Suppose 2 = -s*l + 6. Suppose -l*u + w + 9 = 0, -4*u + 4*w + 8 = -20. Solve -u*n - 9 = n for n. -3 Suppose 0*y - 2 = y. Suppose 0 = -2*h + 4 - 0. Let t = y + h. Solve -4*l = -t*l - 16 for l. 4 Let q(z) = 1 + 6*z**2 + z**3 - 10*z + 0*z + 3*z + 0. Let v be q(-7). Let s = 4 - v. Solve u = -1 + s for u. 2 Suppose -o = 2*o. Suppose o = 5*m - 23 + 8. Suppose -4*p + m = -z - 13, 5*z + p - 25 = 0. Solve z = d - 0*d for d. 4 Let o(t) = t**2 + 7*t + 8. Let m be o(-6). Let z be (-15)/3*6/(-10). Solve -z = a + m*a for a. -1 Suppose d = 2*d + 3. Let i be 5*((d - -2) + 2). Solve i*g + 1 = 16 for g. 3 Suppose 11*w = 5*w + 18. Solve -h - w*h = 0 for h. 0 Suppose 0 = -v - 2. Let q be (-2)/2*-4 + v. Solve 2*z + q*z + 16 = 0 for z. -4 Let d(p) = p. Let w be d(4). Let g be (w/(-1))/(0 - 2). Suppose 0*i + i + 3*h = -g, 3*h = -6. Solve 0 = -i*a + a for a. 0 Suppose 0 = -2*v + 6*v - 3*d + 12, 3*v - d = -4. Solve 3*q + 4 - 13 = v for q. 3 Suppose 1 - 9 = -j. Solve -3*d - 5 = -j*d for d. 1 Let m be (-6)/8 + (-2)/8. Let y be m*(0 - -1 - 3). Let w be 0/((-1 - y)/3). Solve w*p = 4*p + 8 for p. -2 Let n(r) = r**2 - 10*r. Let d be n(10). Suppose d = 4*l - 33 - 27. Solve 2*i - l = 7*i for i. -3 Let a be (-2)/((-3)/(-1 + 4)). Suppose 3*o = 6*o - 18. Suppose -o*n + n + 80 = 0. Solve -n = -6*b + a*b for b. 4 Suppose 4*f - 2*h + 10 = 0, -5*f = -4*f - 4*h + 20. Let d = 0 + f. Suppose d*i - 4 = -4*y + 2*i, y - 3*i = -9. Solve -3*x + y + 0 = 0 for x. 1 Let h = -2 + 2. Solve c + h = -4 for c. -4 Suppose -3*u + 36 = -x, 2*x - 4*u + 3*u = -47. Let i = x + 24. Solve -i*m = -2*m + 1 for m. -1 Suppose -5*b + 2*b - 3*p + 21 = 0, 2*b - 2*p = 22. Let u = -7 + 14. Suppose -5*o = -4*a - u, -4*a + b = o - 2. Solve h = -a*h - 3 for h. -1 Let u(z) = 4*z**2 + 2*z. Let w be u(-4). Suppose w = 7*c - 3*c. Let r be 3/(6/c)*1. Solve 3*v = -4 + r for v. 1 Let p = 3 + -1. Let y = 0 + p. Solve y - 12 = 2*z for z. -5 Suppose 2*z + z - 3 = 0, 3*k + 2*z = 8. Solve -4*i + k = -2 for i. 1 Let l(t) = -t**2 + 2*t - 2. Let f be l(3). Let m(o) = -o**2 - 6*o - 2. Let k be m(f). Suppose 14 = -k*z + 5*z. Solve 3*c - z = -1 for c. 2 Suppose -2*m - 3*g + 2 = 0, 5*g - g = -3*m + 3. Solve 3 - m = v for v. 2 Let c be -2 + ((-105)/(-18) - 1/(-6)). Solve 0*w + c = -w for w. -4 Let f(k) be the second derivative of k**4/12 - k**3 - 5*k. Let o be f(8). Solve 0 = 4*p + o for p. -4 Let k(y) = 5*y**2 + 2*y + 1. Let u be k(-1). Let l(t) be the second derivative of -t**4/12 - 3*t**3/2 + t**2 - 2*t. Let x be l(-9). Solve u + 6 = x*q for q. 5 Let o be 1 + 1 + 0/1. Let f(y) = 3*y**2 - 3*y + 2. Let n be f(o). Solve -3*p = -n*p for p. 0 Suppose -4*g + 2*g = -0*g. Solve -b + g*b + 3 = 0 for b. 3 Let n = 14 + -12. Suppose 5*m + 9 = 2*g - 13, -n*m = 8. Solve g + 4 = -v for v. -5 Suppose -56 - 14 = -7*b. Solve -4*q + b = q for q. 2 Let n be 6/(-4)*16/(-6). Suppose 4 = p + s, 4*s - 2 = n*p - p. Solve 0 = m - 1 + p for m. -1 Suppose 0 = -8*w + 21 + 35. Solve -1 = 4*j + w for j. -2 Let i = 18 - 3. Suppose 0 = 4*q + q - i. Solve q = 3*b - 0 for b. 1 Let x(i) = 6*i**2 + 7*i. Let s(h) = 7*h**2 + 8*h. Let d(b) = -4*s(b) + 5*x(b). Let v be d(-2). Solve -y - v*y = 12 for y. -4 Suppose 8*f = 12*f. Solve -5*t + 0*t = f for t. 0 Suppose 5*t - 6*t = -4*p - 20, 0 = -4*t - 3*p + 23. Let v be 1/3*72/6. Solve -t = v*h + 8 for h. -4 Let r(o) = -2*o + 18. Let x be r(9). Solve -3*u + 2*u - 3 = x for u. -3 Let h = 11 + -6. Let x be -2 + (-4)/2 + 8. Suppose 13 - 4 = x*i - 3*y, 0 = -h*i + y + 25. Solve -20 = -2*w + i*w for w. -5 Let h be (3 - 17/5)*-5. Suppose -2 = -2*l - 4*k, 3*k = -2*l - h + 6. Solve 3*n - 2 + l = 0 for n. -1 Let g = 42 - 39. Solve -6*w - 6 = -g*w for w. -2 Let d = -11 + 13. Solve d*a = -2*a - 16 for a. -4 Let j(b) = -b**2 + 7*b + 8. Let z be j(8). Solve -k + z = -1 for k. 1 Let n(w) = w**2 + 3*w - 7. Let x be n(-5). Let s(y) = 2*y - 4. Let k be s(x). Solve -t - 3 = k for t. -5 Let k be ((-10)/(-4))/(2 + 19/(-10)). Solve 0 = 7*u - 2*u - k for u. 5 Let q(s) = -s**3 + 5*s**2 - 4*s + 2. Let c be q(4). Suppose c*m = -0*m. Solve m = 3*u + u - 12 for u. 3 Suppose 3*k - 5*k = -4. Suppose 0*h + k = -2*r - 2*h, 0 = -5*r + 5*h + 35. Solve -v - 2*v = r for v. -1 Let f be (6/9)/((-1)/(-3)). Suppose 5*h + q = 116, 56 = 2*h - 4*q + f*q. Suppose h = 5*l + 4*p, -2*p - 1 = -3*p. Solve -w = -5*w - l for w. -1 Suppose -i = -0*i. Suppose 4*h - 7*h = i. Solve h = -0*j + 3*j + 3 for j. -1 Let q(n) = 2*n - 7. Let z be q(5). Let d be 2/8*2*0. Suppose d = z*x + 3 - 18. Solve -x*f + f - 12 = 0 for f. -3 Suppose 0 = d - 5*d + 12. Suppose -d*j + j + 12 = 0. Let f = -3 + j. Solve b = -0*b + f for b. 3 Let i(j) = -j + 2. Let u be i(-8). Solve -4*l = -2*l + u for l. -5 Let o be ((-3)/(-2))/((-6)/(-16)). Suppose 0 = -5*b - o*s + 29, 5*s + 17 = 4*b + 2*s. Let a = 0 + b. Solve z - a + 4 = 0 for z. 1 Suppose 30 = 5*z - 3*z. Solve 2*n + 5 - z = 0 for n. 5 Let b(d) = -4*d - 5. Let y be b(-3). Solve 3*l - y*l - 16 = 0 for l. -4 Suppose -24 = -3*q - 3*q. Let b(g) = -g**2 - 8*g + 8. Let z be b(-7). Solve -q*p - z = p for p. -3 Let f(w) = -4*w + 75. Let y be f(18). Solve 0 = -6*a + y*a + 15 for a. 5 Let y(t) = t + 2. Let k be y(0). Suppose w + 2*w + k*v = 28, -33 = -3*w - 3*v. Solve 0 = q + 2*q - w for q. 2 Let y(c) = -c**2 - 18*c - 15. Let r be y(-17). Suppose -3*i + 5 = r*i + 5*f, i = 2*f + 13. Solve 0 = i*d - 0*d + 15 for d. -3 Suppose 5*v = 2*v. Solve v = -9*n + 4*n - 20 for n. -4 Suppose 11 = 3*i - 16. Let t be (i/(-6) + -1)*-2. Let c = -2 + t. Solve h = c*
{ "pile_set_name": "DM Mathematics" }
j**7/945 + j**6/540 + 3*j**3 + j - 12. Let w(f) be the third derivative of l(f). Solve w(z) = 0. 0, 1, 3 Factor -83*m**2 - m**4 + 6*m**3 + 27*m**2 - 21*m**3 + 38*m**2 + 34*m**2. -m**2*(m - 1)*(m + 16) Suppose 147*r**2 + 150*r**2 - 1728*r + 80509 + 106115 - 293*r**2 = 0. What is r? 216 Suppose 2*d - 6 = -8*c + 6*c, 4*d - 3*c = 12. Let 30*a**2 - 34*a**2 + 62*a - 30 + a**d - 30*a**2 + a**3 = 0. What is a? 1, 15 Let q be (-2)/((-4)/10) + -3. Suppose -5*v**5 - 20*v - 60*v**q - 954*v**3 + 437*v**3 - 30*v**4 + 452*v**3 = 0. What is v? -2, -1, 0 Let p = 498 - 564. Let i be -2*(-1 - 24/p). Factor -24/11*j - i*j**2 + 8/11. -2*(j + 2)*(7*j - 2)/11 Let g(q) be the third derivative of -q**8/2016 + 13*q**7/420 + 4*q**6/45 + 21*q**5/10 + 2*q**2 + 3*q. Let t(z) be the third derivative of g(z). Factor t(k). -2*(k - 16)*(5*k + 2) Let l(p) be the third derivative of p**7/35 + p**6/40 - p**5/10 - p**4/8 + p**2 - 209*p. Factor l(o). 3*o*(o - 1)*(o + 1)*(2*o + 1) Let f = 55096/137815 + 6/27563. Factor 16/5*r**3 - f*r**4 + 0*r + 54/5 - 36/5*r**2. -2*(r - 3)**3*(r + 1)/5 Let l(t) be the first derivative of -t**4/14 - 184*t**3/7 - 19044*t**2/7 - 1017. Factor l(r). -2*r*(r + 138)**2/7 Let n(j) = -j**4 + j**3 - 2*j**2 + 1. Let x(y) = 3*y**3 - y**2 - 1. Let p be ((-138)/14)/3 - 20/(-70). Let c(h) = p*x(h) - 3*n(h). Factor c(m). 3*m**2*(m - 3)*(m - 1) Let a(b) = 3*b**2 - 264*b + 3112. Let n be a(14). Let 1/3*i**n - i**3 + 2/3*i + 1/3*i**5 - 1/3*i**2 + 0 = 0. Calculate i. -2, -1, 0, 1 Suppose 2*t = 5*u + 31, 5*t + 3*u = 7*u + 86. Let x be 26/(-39)*t/(-4). Factor s**x + s**5 + 16*s**4 - 13*s**4 - 3*s**2 + s - 3*s. s*(s - 1)*(s + 1)**2*(s + 2) Let k = -9997 + 9997. Let a(g) be the third derivative of -1/210*g**5 + 20*g**2 - 1/42*g**4 + k*g**3 + 0*g + 0. Determine b so that a(b) = 0. -2, 0 Let n be (-2)/(-1) + 70 + -77. Let t be 0/(n + 0/7). Solve 4/7*r + t + 8/7*r**3 + 10/7*r**2 + 2/7*r**4 = 0 for r. -2, -1, 0 Let r(q) be the third derivative of 0 + 19/40*q**6 - 303*q**2 - 40/3*q**4 + 0*q - 16*q**3 + 4/21*q**7 - 373/90*q**5 - 25/1008*q**8. Suppose r(i) = 0. What is i? -2, -3/5, 4 Let n be ((-474)/(-4))/((-188349)/(-71752)). Factor 324/7*j**2 + n*j - 8/7. 4*(j + 1)*(81*j - 2)/7 Let b(k) be the second derivative of -33/8*k**2 - 1/80*k**5 - 31/48*k**4 + 0 + 65/24*k**3 - 179*k. Determine t, given that b(t) = 0. -33, 1 Let r(b) be the second derivative of -121*b**7/252 + 209*b**6/60 + 1583*b**5/120 - 101*b**4/24 + 7*b**3/18 - 6*b + 141. Solve r(k) = 0. -2, 0, 1/11, 7 Let h(k) be the third derivative of 0*k - 1/270*k**5 - 14/27*k**3 + 105 + 2*k**2 + 1/12*k**4. Factor h(l). -2*(l - 7)*(l - 2)/9 Factor -103/7*b + 1/7*b**2 + 396/7. (b - 99)*(b - 4)/7 Let q(p) = p**5 - p**4 + p**2 - p. Let m(f) = -557*f**3 + 14*f + 465*f**3 - 22*f**2 - 89*f**4 - 18*f**5 + 15*f**4. Let i(b) = m(b) + 2*q(b). Solve i(a) = 0. -3, -1, 0, 1/4 Suppose 0 = -3*t - x + 985, 3*t + 3*x = -0*x + 981. Let n = -326 + t. Determine j so that 1/6*j**4 - 1/3*j + 5/6*j**2 - 2/3*j**5 + 0 + 2*j**n = 0. -1, 0, 1/4, 2 Let o(g) be the second derivative of -g**5/90 + 89*g**4/54 - 175*g**3/27 + 29*g**2/3 - 406*g - 3. Factor o(d). -2*(d - 87)*(d - 1)**2/9 Let i(g) = g**2 - 10*g + 29. Let m be i(8). Solve -2*d - d**2 - 29 - m*d + 45 = 0. -16, 1 Suppose 2602 + 3408 = 1490*f + 1515*f. Factor 0 + 2/7*x**5 + 18/7*x**2 + 30/7*x**3 + f*x**4 + 0*x. 2*x**2*(x + 1)*(x + 3)**2/7 Solve 50/7*o - 2/7*o**4 - 50/7 + 52/7*o**2 - 52/7*o**3 + 2/7*o**5 = 0 for o. -5, -1, 1, 5 Let u be ((-6)/4 + 0)*8/(-6). Suppose -31*z - 42*z + 72*z + z**u = 0. Calculate z. 0, 1 Let z = -219040/3 + 73014. Factor 0 + 1/3*j**2 + z*j. j*(j + 2)/3 Let y be 45/(-9) + 12 + (-2 - 0). Factor -36*d**3 + d + 70*d - 2*d**y - 17*d + 16*d**4. -2*d*(d - 3)**3*(d + 1) Let x(d) be the first derivative of -d**6/18 - 2*d**5/3 - 7*d**4/12 + 2*d**3 - 8727. What is c in x(c) = 0? -9, -2, 0, 1 Let n be (-5)/3*36/(-540). Let v(j) be the first derivative of -1/2*j**2 - 4/3*j + n*j**3 - 13. Find y such that v(y) = 0. -1, 4 Suppose 2*o - 4*t - 2 = -2*t, 0 = -5*o + 3*t + 11. Suppose 18 = n + 2*q, 0 = 4*n + o*q - 82 + 10. Factor 3*u**2 + 9*u**2 - n*u**2 + 3*u**5 - 9*u**3. 3*u**2*(u - 2)*(u + 1)**2 Solve -50*g**2 + 28*g**3 - 288*g + 49*g**2 - 27*g**2 + g**4 - g**5 + 148*g**2 - 7*g**4 = 0 for g. -6, 0, 2, 4 Let y(q) be the second derivative of 8*q**5/15 + 11*q**4/6 + 2*q**3 - 13*q**2 - 24*q. Let i(u) be the first derivative of y(u). Factor i(j). 4*(j + 1)*(8*j + 3) Suppose 12 = -5*l + m, -4*m + 16 = -4*l - 0*m. Let k be (102/136)/((-3)/l). Let 5/4*c - k - c**2 + 1/4*c**3 = 0. What is c? 1, 2 Let j = 122 - 123. Let q be (-5 - 228/(-40))*(3 - j). Determine w, given that -16/5 - 28/5*w - 2/5*w**3 - q*w**2 = 0. -4, -2, -1 Let v(y) = -y**2 + 226*y - 2769. Let r be v(13). Let a(p) be the second derivative of 0*p**3 + 1/3*p**4 + 0*p**2 + r - 1/20*p**5 + 3*p. Factor a(z). -z**2*(z - 4) Let f(g) be the first derivative of 5*g**4/12 + 34*g**3/9 + 38*g**2/3 + 56*g/3 + 1921. Factor f(o). (o + 2)**2*(5*o + 14)/3 Let f(o) be the third derivative of o**7/1120 + o**6/120 - o**5/160 - o**4/8 - 59*o**3/6 - 37*o**2. Let n(w) be the first derivative of f(w). Factor n(q). 3*(q - 1)*(q + 1)*(q + 4)/4 Let j(k) be the second derivative of -k**5/15 + 17*k**4/6 - 32*k**3/3 - 32*k**2 + k - 66. Let l(q) be the first derivative of j(q). Factor l(o). -4*(o - 16)*(o - 1) Let z(a) = 6*a**2 - 50*a. Let p(w) = -7*w**2 + 51*w. Let n = -105 + 107. Let j(t) = n*p(t) + 3*z(t). Suppose j(s) = 0. What is s? 0, 12 Factor 22*p**3 + 1345*p**4 - p**5 - 668*p**4 - 698*p**4. -p**3*(p - 1)*(p + 22) Let p = 66052/45 + -13160/9. Let 0 - p*m**4 - 4/5*m**5 - 8*m**3 + 0*m**2 + 0*m = 0. What is m? -5, -2, 0 Let l(y) be the first derivative of -y**3/18 - 51*y**2/4 + 77*y/3 + 2428. Determine b, given that l(b) = 0. -154, 1 Let 300*w + 276*w**3 - 528 + 34*w**4 + 228*w**2 - 147*w + 1173*w - 37*w**4 - 1299*w**2 = 0. Calculate w. 1, 2, 88 Let m(b) be the third derivative of -b**8/504 + 13*b**7/315 + b**6/90 - 47*b**5/15 - 57*b**4/4 - 27*b**3 - 89*b**2 - 5. Solve m(n) = 0 for n. -3, -1, 9 Let -8*d**2 - 80/11*d - 28/11*d**3 + 0 - 2/11*d**4 = 0. Calculate d. -10, -2, 0 Let a(t) be the third derivative of t**8/168 + 2*t**7/105 - 2*t**6/3 - 5*t**5/3 + 125*t**4/4 - 15*t**2 + 7*t + 3. Find c, given that a(c) = 0. -5, 0, 3, 5 Suppose 5*v + 3*a - 13 = 0, 8*v - a = 7*v + 1. Factor q**v + 12*q**2 - 10*q - 5*q**2 + q**3 + q**3. 2*q*(q - 1)*(q + 5) Suppose 10*g = 9*g - 24. Let q(x) = -20*x**5 + 32*x**4 + 16*x**2 - 4*x + 24. Let p(m) = -m**5 + m**4 + m**2 + 1. Let a(u) = g*p(u) + q(u). Factor a(l). 4*l*(l - 1)*(l + 1)**3 Let m(b) = -10*b**2 + 135*b - 555. Let y(d) = d**2 - 17*d + 69. Let o(t) = -3*m(t) - 25*y(t). Determine u, given that o(u) = 0. -6, 2 Let q = -228936 + 1144696/5. Solve 6/5*a**3 - 6/5*a - q*a**2 + 0 = 0. -1/3, 0, 3 Let g(o) = -o**4 - o**3 - o. Let i(n) = -6*n**4 - 15*n**3 + 3*n**2 + 23*n - 20. Let x = -248 + 249. Let k(p) = x*i(p) - 5*g(p). Factor k(m). -(m - 1)**2*(m + 2)*(m + 10) Let j be 2/(-4)*(-34 + (-28)/(-7)). Let z be -5*(-308)/825 + 2/j. Determine g so that 0*g**2 + 0*g - 1/2*g**4 + 0 - z*g**3 = 0. -4, 0 Let g = -48 + 45. Let i be -8 - g - (-11 - 0). Let 70*d - 75*d - 7*d**2 + 6*d**2 - i = 0. What is d? -3, -2 Let h(i) = 36*i**2 - 314*i + 92. Let l(q) = 31*q**2 - 314*q + 94. Let j(v) = 5*h(v) - 6*l(v). Factor j(g). -2*(g - 52)*(3*g - 1) Let z(s) be the third derivative of -577*s**5/60 + 191*s**4/8 + 2*s**3/3 + s**2 - 2836*s. Factor z(k). -(k - 1)*(577*k + 4) Let r(j) be the first derivative of 20*j + 42*j**2 - 85*j**2 + 175*j**3 + 33 - 67*j**2. Determine g, given that r(g) = 0. 2/15, 2/7 Factor -1024/5 + 1152/5*y - 112/5*y**2 - 18/5*y**3 + 2/5*y**4. 2*(y - 8)**2*(y - 1)*(y + 8)/5 Let r = 89972 + -89970. Let 0*l + 1/6*l**3 + 0 - 5/6*l**r = 0. Calculate l. 0, 5 Suppose -h = 7*x - 9, -594*h - 3 = -4*x - 595*h. Let -11/5*l**x - 17/5*l - 2/5*l**3 - 6/5 = 0. Calculate l. -3, -2, -1/2 Let i = -92 + 97. Suppose 9 = 2*t + 2*x - 3*x, -2*t - i*x = -3. Factor 0 + 2/7*g - 3/7*g**3 + 1/7*g**t - 1/7*g**2 + 1/7*g**5. g*(g - 1)**2*(g + 1)*(g + 2)/7 Let g(c) be the first derivative of -c**4 - 40*c**3/3 - 22*c**2 + 280*c + 1294. Suppose g(m) = 0. Calculate m. -7, -5, 2 Let n = 16569 + -97579/6. Let o = n - 305. Factor 25/6*u + 5/6*u**4 - o*u**3 - 5/2*u**
{ "pile_set_name": "DM Mathematics" }
+ 8*n**2 - 4*n**o + 48*n**4 - 1 + 8*n**3 - 3 - 4*n = 0. -1, 1 Factor 98/5*f**2 + 38*f - 12/5. 2*(f + 2)*(49*f - 3)/5 Let i(t) = -t**2 + 12*t + 85. Let v be (-4 - -3)/(13/65). Let q be i(v). Factor q + h**4 + 1/4*h**5 + 3/2*h**3 + 1/4*h + h**2. h*(h + 1)**4/4 Let w be 8/(-24)*(-2*1 - 4). Suppose 0*a + 5*a - w*a - 9*a - 2*a**2 = 0. Calculate a. -3, 0 Determine t, given that -784/15*t - 2/3*t**4 + 392/15 + 2/15*t**5 + 482/15*t**2 - 82/15*t**3 = 0. -7, 1, 2, 7 Suppose a = -4*c - 0*c + 5, -10 = c + 4*a. Suppose -2*y - r - 14 = -5*r, -3*y = -c*r + 1. Factor 3*z**3 - y*z**2 + 12*z + z**2 + 14*z**2. 3*z*(z + 2)**2 Let k be (-71)/284 - (9/4 + 0 - 3). Let q be (-4)/8 - 2/(-2). Factor 0*s + k - q*s**2. -(s - 1)*(s + 1)/2 Let p(h) be the first derivative of -3/7*h**2 - 26 - 72/7*h + 11/7*h**3 + 9/28*h**4. Determine o, given that p(o) = 0. -3, -2, 4/3 Suppose 22*o**4 + 4/3*o + 16/3*o**5 + 0 + 88/3*o**3 + 14*o**2 = 0. What is o? -2, -1, -1/8, 0 Let k(f) be the second derivative of f**7/14 - 19*f**6/10 + 27*f**5/10 + 50*f + 7. Factor k(j). 3*j**3*(j - 18)*(j - 1) Let l = -1118675/3 + 372893. Let -32/3*a**2 + 4/3*a**3 - l*a + 32/3 = 0. Calculate a. -1, 1, 8 Let c(w) be the first derivative of -2*w**5/25 - 91*w**4/10 - 176*w**3/5 + 4*w**2/5 + 704*w/5 + 6919. Find h such that c(h) = 0. -88, -2, 1 Let v(u) be the third derivative of 9/70*u**7 + 0*u**3 - 11/40*u**6 - 1/8*u**4 - 1/42*u**8 + 0*u + 0 + 17/60*u**5 + 278*u**2. Factor v(y). -y*(y - 1)**3*(8*y - 3) Let r(m) be the second derivative of m**6/270 - 61*m**5/180 + 59*m**4/108 + 61*m**3/54 - 10*m**2/3 + 2174*m. What is u in r(u) = 0? -1, 1, 60 Let z(q) be the second derivative of -q**6/45 - q**5/10 + 2*q**4 - 32*q**3/9 - 169*q + 2. Factor z(o). -2*o*(o - 4)*(o - 1)*(o + 8)/3 What is q in -247*q - 176 + 2*q**2 - 229*q + 392*q = 0? -2, 44 Let f(w) = -w + 26. Let t be f(4). Suppose -16 = t*h - 26*h. Determine k so that 9*k**4 - 5*k**2 - 12*k**h + k**3 - 5*k**5 - 12*k**4 - 16*k**3 = 0. -1, 0 Solve -1/2*n**5 + 576*n - 152*n**3 - 408*n**2 - 31/2*n**4 + 0 = 0 for n. -12, -8, 0, 1 Suppose -5*h + 5*k + 15 = 0, k - 6*k = -h - 1. Suppose -85 + 144 = -g + 74. Factor 45*x**2 + 25*x + 50*x**h + g*x**3 - 103*x**4 + 48*x**4. -5*x*(x - 5)*(x + 1)**2 Factor 11*q**4 + 19*q**3 + 8*q**2 - 27*q**3 - 9*q**4. 2*q**2*(q - 2)**2 Determine o, given that 0*o**4 + 4*o**4 - 2996*o - 4*o**2 - 20*o**3 + 3016*o = 0. -1, 0, 1, 5 Let k = -2202511/11 - -200229. Determine q so that 2/11*q**3 - 8/11*q - 2/11*q**2 + k = 0. -2, 1, 2 Let l = 702 + 139. What is t in 37*t**3 + 14 + t**4 - 776*t + 3*t**2 + 81*t**2 + l*t + t**4 + 2 = 0? -16, -1, -1/2 Let f(n) = 3*n**2 - 20*n + 101. Let l be f(9). Factor -2941 - l*r - 421 + 258*r**2 - 260*r**2. -2*(r + 41)**2 Let q(x) = x**4 + x**2 + x. Let k(b) = -12*b**4 + 6*b**3 - 27*b**2 - 21*b + 9. Let u = 15 - 0. Let c(t) = u*q(t) + k(t). Suppose c(l) = 0. What is l? -3, -1, 1 Let w(z) = -5185 + z + 5191 + 71*z**2 + 4*z + 19*z. Let v(t) = -143*t**2 - 47*t - 13. Let h(p) = -6*v(p) - 13*w(p). Factor h(g). -5*g*(13*g + 6) Factor -11/2*y**3 + 25 - 33/2*y**2 - 5/2*y - 1/2*y**4. -(y - 1)*(y + 2)*(y + 5)**2/2 Suppose 51/5*p - 6 - 21/5*p**2 = 0. Calculate p. 1, 10/7 What is x in -x**3 + 186*x - 16*x**2 + 80 - 90*x - 4*x**2 - 92*x = 0? -20, -2, 2 Find w, given that 155*w**2 - 32 - 111*w**2 - 61*w + 115*w + 114*w = 0. -4, 2/11 Let -289/6 - 145/3*w - 1/6*w**2 = 0. Calculate w. -289, -1 Let o(m) be the second derivative of -2 + 1/15*m**4 + 18/5*m**3 - 44*m + 52/5*m**2. Factor o(c). 4*(c + 1)*(c + 26)/5 Let x(y) be the second derivative of -5/12*y**4 + 2 + 15*y + 5*y**2 + 5/6*y**3. Solve x(d) = 0 for d. -1, 2 Let x(y) be the first derivative of -y**7/525 + y**6/75 - y**5/30 + y**4/30 + y**2 + 10*y - 224. Let j(z) be the second derivative of x(z). Factor j(t). -2*t*(t - 2)*(t - 1)**2/5 Let u(n) be the first derivative of -7/32*n**4 - 11*n - 10 + 3/160*n**5 + 0*n**2 + 5/8*n**3. Let x(j) be the first derivative of u(j). Factor x(a). 3*a*(a - 5)*(a - 2)/8 Let i be 1*((-3746)/(-4) + 9/18). Solve -14*u + 5*u**2 + i - u**2 - 3*u**2 - 952 = 0. -1, 15 Let p(w) be the second derivative of -w**6/3420 - w**5/228 + w**4/38 - 43*w**3/6 - 60*w. Let k(b) be the second derivative of p(b). Find d, given that k(d) = 0. -6, 1 Let y(t) be the second derivative of t**4/30 - 136*t**3/15 + 4624*t**2/5 - 1002*t. Suppose y(w) = 0. Calculate w. 68 Let k(l) = l**2 + 5*l. Let p(m) be the first derivative of 2*m**3/3 + 5*m**2 + 13. Let w = 13 + -19. Let a(y) = w*p(y) + 13*k(y). Factor a(h). h*(h + 5) Let s = 5/802 - -371/4812. Let z(f) be the third derivative of -1/12*f**5 - s*f**4 + 0 - 2/105*f**7 - 7*f**2 + 0*f**3 + 0*f + 11/120*f**6. Solve z(m) = 0. -1/4, 0, 1, 2 Let v(q) be the third derivative of -q**5/100 - 187*q**4/20 - 34969*q**3/10 + 26*q**2 - 38. Factor v(a). -3*(a + 187)**2/5 Let r(a) = a + 7 + 7 - 13. Let t be r(4). Solve 5*x + 3*x**2 + 7*x**2 - 5*x**t - 23*x**4 + 13*x**4 = 0 for x. -1, 0, 1 Let q = 242632 + -970527/4. Determine b so that -q*b**3 - 1/2*b**2 + 3/4*b + 0 = 0. -3, 0, 1 Let q(j) be the second derivative of -j**6/40 - 9*j**5/40 + 25*j**4/16 - 9*j**3/4 + 2*j + 1635. Factor q(g). -3*g*(g - 2)*(g - 1)*(g + 9)/4 Suppose k + 28*m = 25*m + 476, 5 = 5*m. Let q be 2 + 7 + k/(-55). Factor -q*o**2 + 4*o - 10. -2*(o - 5)**2/5 Suppose 4*q - 47538 = -5*q. Factor -h**2 - 5282*h + q*h + 1. -(h - 1)*(h + 1) Let s(l) = l - 11. Let k be s(8). Let n(w) = -w**2 + w. Let a(i) = -i**2 + 17*i - 16. Let x(z) = k*n(z) - a(z). Let x(b) = 0. What is b? 1, 4 Let x(m) = 8*m**3 + 372*m**2 + 2852*m + 5504. Let f(r) = r**3 - r**2 + 9*r. Let z(l) = -4*f(l) + x(l). Find w such that z(w) = 0. -86, -4 Let h(j) = 175*j**2 + 18*j - 24. Let k be h(3). Factor -588 + 4*o**3 - 1561*o**2 + 20*o + 8*o + k*o**2. 4*(o - 3)*(o + 7)**2 Let l be (1311/(-2322) - (17 - (-779)/(-38))) + (-20)/430. Factor 50/9*w + l - 2/9*w**3 + 22/9*w**2. -2*(w - 13)*(w + 1)**2/9 Determine f, given that -98596 + 10850*f - 5014*f - 5*f**2 - 4580*f + f**2 = 0. 157 Solve 175/2*u**2 - 25/2*u**4 + 0 + 35*u**3 - 110*u = 0 for u. -11/5, 0, 1, 4 Let h(c) be the third derivative of -1/480*c**6 - 2*c**2 + 0*c**3 - 7/240*c**5 + 0 - 1/48*c**4 + 1/120*c**7 + 1/448*c**8 + 84*c. Let h(o) = 0. Calculate o. -2, -1, -1/3, 0, 1 Let u(d) be the second derivative of -179*d**4/3 + 692*d**3/3 + 48*d**2 - 5261*d - 2. Factor u(f). -4*(f - 2)*(179*f + 12) Let d(a) be the second derivative of a**7/42 + 28*a**6/15 - 85*a**5/4 + 83*a**4 - 126*a**3 - 814*a. What is b in d(b) = 0? -63, 0, 2, 3 Let 662733 - 5*z**2 - 662733 - 65*z = 0. Calculate z. -13, 0 Let y(f) be the first derivative of 4*f**3/3 + 334*f**2 - 1352*f - 1474. Factor y(o). 4*(o - 2)*(o + 169) Suppose 0 = -267*m + 253*m + 70. Let j(c) = 160*c - 795. Let h be j(m). Determine w, given that -1/4*w**h + 0 + 0*w**2 + 5/4*w**3 - w + 0*w**4 = 0. -2, -1, 0, 1, 2 Let z(k) be the third derivative of k**7/1155 - 7*k**6/330 + 13*k**5/330 - 65*k**2 - k. Factor z(y). 2*y**2*(y - 13)*(y - 1)/11 Let y(p) be the third derivative of 1/20*p**5 + 0 - 1/24*p**4 + 0*p + 5/6*p**3 + 43*p**2. Let f(z) = z**2 + 2. Let u(c) = -5*f(c) + 2*y(c). Factor u(i). i*(i - 2) Let i(o) be the second derivative of -o**4/12 - 119*o**3/36 + 5*o**2/3 + 1149*o - 1. Let i(q) = 0. Calculate q. -20, 1/6 Let v(o) be the second derivative of 1/20*o**5 + 0 + 5/2*o**2 - 1/8*o**4 + 0*o**3 + 5*o. Let m(g) be the first derivative of v(g). Solve m(z) = 0 for z. 0, 1 Let a = -664533 - -664533. Solve a - 12/5*z**5 - 8/5*z**4 - 16/5*z + 32/5*z**2 + 52/5*z**3 = 0. -2, -1, 0, 1/3, 2 Let n be -2*(-6)/28 - (-6188)/75656. Let d = n + -2/193. Find r, given that -1/6*r**3 + d*r - 1/3 + 0*r**2 = 0. -2, 1 Let q(t) be the second derivative of 1/110*t**5 + 2/33*t**4 - 80*t - 18/11*t**2 + 0 - 1/11*t**3. Factor q(r). 2*(r - 2)*(r + 3)**2/11 Factor 4717*b + 908 - 3340*b + 1805*b + 14*b**2. 2*(b + 227)*(7*b + 2) Let v be (18/21)/(600/800). Factor 0*g - v*g**3 + 0 - 6/7*g**2 - 2/7*g**4. -2*g**2*(g + 1)*(g + 3)/7 Let q(g) be the second derivative of g**5/5 + 124*g**4 - 20*g - 7. Suppose q(t) = 0. Calculate t. -372, 0 Suppose -93*z + 97*z = 20. Solve 7*g**z - 29*g**4 - 12*g**2 - 5*g**5 + 22*g**3 + 17*g**4 = 0 for g. 0, 1, 2, 3 Let v be (-73)/(-146)*(-2 - (-2311)/(-14)). Let f = v - -590/7. Determine i so that 1/4*i + 3/4*i**3 + 0 + f*i*
{ "pile_set_name": "DM Mathematics" }
erivative of b(t) wrt t? -720*t**3 - 120*t**2 Let j(w) be the third derivative of -5*w**8/28 - 17*w**5/15 + 46*w**2 + 2*w. Find the third derivative of j(t) wrt t. -3600*t**2 Find the third derivative of -129*y**4 + 248*y**2 + 276*y**2 + 623*y**4 wrt y. 11856*y Let a(x) be the first derivative of -8*x**4 + 89*x**2/2 - 56. Find the second derivative of a(r) wrt r. -192*r Let v(j) = -5*j + 3. Let t(c) = -38 + 69 - 32. Let n(a) = -2*t(a) + v(a). What is the first derivative of n(h) wrt h? -5 Let r be 2*4*12/32. Suppose -r*q - 5*t = -77, -q + 27 = 5*t - 2. What is the second derivative of 0*h**3 + 0*h**3 + 10*h**4 - q*h + 33*h wrt h? 120*h**2 What is the third derivative of -33*v**5 + 2 - 2 + 2*v**2 - 35*v**2 - 276*v**5 - 1 wrt v? -18540*v**2 What is the second derivative of -92664*x**4 + x**5 - 26*x**2 - 111*x + 92664*x**4 wrt x? 20*x**3 - 52 Let g(d) be the first derivative of 17*d**2 + 0*d**3 - 8*d**3 + 81 - 66. What is the second derivative of g(j) wrt j? -48 Let h(g) = 65*g**4 + 7*g + 133. Let w(x) = -34*x**4 - 3*x - 66. Let o(b) = -3*h(b) - 7*w(b). Differentiate o(n) wrt n. 172*n**3 Let k(b) be the first derivative of -8*b**3 - 217*b - 31. What is the first derivative of k(i) wrt i? -48*i Let w(c) be the first derivative of 3*c**5/2 + 23*c**3/6 - c + 24. Let v(m) be the first derivative of w(m). Find the second derivative of v(g) wrt g. 180*g Suppose 0 = -5*x + 4*r - 6*r + 16, -x = 3*r + 2. Suppose 20 = 2*k + x*a - 6*a, 2*a = -4. What is the derivative of -10 - 6 - 21*o**2 + k*o**2 + 3 wrt o? -26*o Let t(v) = v + 6. Let y be t(11). Let f be (0 - -1)*(y - 14). Find the second derivative of -6*l**3 - 5*l + 2*l**f + 10*l wrt l. -24*l Find the second derivative of -366*d + 182*d**2 + 7*d**3 - 274*d**2 - 6*d**3 wrt d. 6*d - 184 Let l(n) = -5*n**2 + 34*n. Let j = -110 + 119. Let b(g) = 21*g**2 - 136*g. Let q(r) = j*l(r) + 2*b(r). Find the second derivative of q(v) wrt v. -6 Let m(x) be the second derivative of -x**5/15 + 5*x**3/3 + x**2 + 7*x. Let p(f) be the first derivative of m(f). Differentiate p(t) wrt t. -8*t Let p(u) = 10*u**2 + 2 + 5*u**3 + 8*u**2 - 19*u**2 - 2*u. Let o be p(2). What is the third derivative of -29*d**6 + o*d**6 - 3*d**2 - d**2 wrt d? 600*d**3 Let i(t) be the second derivative of 5*t**3/2 + 25*t**2/2 + 37*t - 1. Find the first derivative of i(l) wrt l. 15 What is the third derivative of 66*v**3 + 125*v**2 + 164*v**2 - 345*v**3 - 46*v**2 - 19*v**2 wrt v? -1674 Suppose -2*x = -4*u + 14, 4*u + 2*x + 2*x = 44. Suppose 4*z = u + 42. Find the first derivative of 6*g**2 - 10 - g**2 - 5*g**2 + z*g**4 wrt g. 48*g**3 Suppose -1 = q - 3. Suppose 3*g - q = g. Differentiate -5*t + g - 6*t + 3*t wrt t. -8 What is the third derivative of -2*z**3 - 873*z**5 + 1633*z**5 + 2*z**3 - 821*z**5 + 163*z**2 wrt z? -3660*z**2 Let s(c) = 2 - 2*c**2 + 10 - 2*c - 9 - 6*c**3. Let g(p) = 13*p**3 + 5*p**2 + 5*p - 7. Let a(l) = 2*g(l) + 5*s(l). Differentiate a(u) wrt u. -12*u**2 Let i = 1892 - 1887. Let s(m) be the first derivative of 0*m**3 + 0*m**4 + 0*m**i - 9 - 3/2*m**2 - m**6 + 0*m. What is the second derivative of s(l) wrt l? -120*l**3 Find the first derivative of 29*q**4 + 10081*q**2 - 10081*q**2 + 72 wrt q. 116*q**3 Let k = 6 - 1. What is the second derivative of -5*t - 41*t**5 + 68*t**k - 41*t**5 wrt t? -280*t**3 What is the third derivative of 390*p**3 + 448*p**3 + 56*p**2 - 687*p**3 + 0*p + p wrt p? 906 What is the second derivative of -15*h**4 + 15*h**4 + 46*h + 398*h**5 - 594*h wrt h? 7960*h**3 Let l(y) be the second derivative of -227*y**5/20 - 2*y**4/3 - 19*y**2/2 + 298*y + 1. Find the third derivative of l(j) wrt j. -1362 Let h = 112/5 + -331/15. Let r(f) be the first derivative of 0*f - 7/4*f**4 + h*f**3 + 0*f**2 + 1. What is the third derivative of r(l) wrt l? -42 Let x(n) be the first derivative of -11/5*n**5 + 0*n + n**2 + 0*n**3 + 1 + 0*n**4. Find the second derivative of x(g) wrt g. -132*g**2 Let a(x) be the first derivative of 0*x + 13/4*x**4 + 21 + 0*x**2 + 20/3*x**3. Find the third derivative of a(k) wrt k. 78 Let k(m) be the third derivative of 11/210*m**7 + 2 + 0*m**6 - 4/3*m**3 - 24*m**2 + 0*m + 0*m**5 + 0*m**4. Find the first derivative of k(b) wrt b. 44*b**3 Let d(c) be the first derivative of 5*c**4/4 + 38*c + 21. Differentiate d(n) with respect to n. 15*n**2 Let u(i) be the first derivative of 0*i**2 - 10 + 0*i**3 + 19/2*i**4 + 25*i. Find the first derivative of u(t) wrt t. 114*t**2 What is the first derivative of 340*g**4 + 7359 + 555*g**4 - 6478 wrt g? 3580*g**3 Let i(b) be the first derivative of -8 + 7/5*b**5 + 0*b**2 + 0*b**4 + 0*b - b**3. What is the third derivative of i(v) wrt v? 168*v Let l(g) be the third derivative of g**5/12 + g**4/12 + 61*g**3/6 - 7*g**2 + 8. What is the first derivative of l(r) wrt r? 10*r + 2 What is the third derivative of 0*m + 913*m**3 + 233*m**2 - 380*m**2 - 172*m**2 + 3*m wrt m? 5478 Let p be 6 - -25 - (1 - -1). Find the third derivative of p*w**2 + 34*w**5 + w - 2*w**5 - w wrt w. 1920*w**2 Suppose 0 = 2*h - 5*h + 4*v + 71, 136 = 4*h + 5*v. Find the first derivative of -w**3 + h + 36 - 83 wrt w. -3*w**2 Suppose -o + 2*l = l - 1, -29 = -5*o - l. Suppose -o + 9 = 2*f. What is the second derivative of 5*k - 9*k**2 + 6*k**5 + 2*k**2 + 7*k**f wrt k? 120*k**3 Let i(l) = 2*l**2 - 5*l**2 - 2 + 0 - 3*l. Let x = 208 + -213. Let p(d) = -d**3 + 5*d**2 + 5*d + 3. Let t(a) = x*i(a) - 3*p(a). Differentiate t(k) wrt k. 9*k**2 Let g be 4/(-16) + 87/12. Let r = 12 - g. What is the second derivative of 3*l - 4*l**5 - 6*l**r + 4*l**5 wrt l? -120*l**3 What is the second derivative of -6*h**3 - 767*h + 142*h + 5*h**3 - 577*h**4 + h**3 wrt h? -6924*h**2 Let j = 0 + 4. Suppose j*i = -5*w + 17, -w - 7 = -2*i - 2*w. Find the second derivative of 5*p**2 + i*p - p + p wrt p. 10 Suppose x + 2*n + 4 = -3*x, 3*x = 4*n - 14. Let l(t) = -t**2 - 6*t - 3. Let p be l(x). What is the second derivative of -3*k + k + p*k**2 - 2*k**2 - 2*k wrt k? 6 Let f(p) = -4*p - 13. Let m be f(-4). Find the third derivative of -4*x**2 + 11*x**6 + x**2 + 5*x**3 - 5*x**m wrt x. 1320*x**3 Let r = 575 + -575. Let f(s) be the first derivative of 0*s**4 + 1/3*s**3 + r*s**2 + 6 + 4/5*s**5 + 0*s. What is the third derivative of f(a) wrt a? 96*a Let i = -357 + 554. Find the second derivative of -4*m - 197 + 396 + m**5 - 21*m**2 - i wrt m. 20*m**3 - 42 Let g(b) = b**3 - b**2 - b + 3. Let k be g(3). Let h = k - 14. Find the third derivative of 0*a**3 - 6*a**4 + h*a**3 - 4*a**3 + 7*a**2 wrt a. -144*a Differentiate 10*g + 64 - 26 + 29 with respect to g. 10 Let h(v) = -2*v**4 - 2*v**3 - v**2 + 11*v. Let n(q) = q**4 - q**3 - q**2. Let m(j) = -2*h(j) + 2*n(j). What is the second derivative of m(c) wrt c? 72*c**2 + 12*c Let k(v) be the first derivative of -102*v**7/7 + v**3/3 + 13*v**2/2 + 10. What is the third derivative of k(x) wrt x? -12240*x**3 Find the third derivative of 305*c + 4702*c**2 + 142*c**3 - 2354*c**2 - 2350*c**2 wrt c. 852 What is the third derivative of 69*d**2 + d**6 - 7*d**6 - 3*d**4 + 4*d**6 + 3*d**4 + 22*d**3 wrt d? -240*d**3 + 132 Let f(l) be the third derivative of -l**8/336 + l**5/20 + 53*l**4/24 + 6*l**2 + 5*l. What is the second derivative of f(j) wrt j? -20*j**3 + 6 Let j(w) be the first derivative of -23*w**5/5 + w**2/2 - 46*w - 40. Differentiate j(x) with respect to x. -92*x**3 + 1 Let p(c) be the third derivative of -65*c**9/504 + 19*c**5/30 + 2*c**2 - 9*c. What is the third derivative of p(h) wrt h? -7800*h**3 Let h(i) = -2*i**3 - 2. Let l(b) = -2*b**3 - 2. Let a be (2 - 1) + 1/(-1). Let g = a - -6. Let j(d) = g*h(d) - 7*l(d). What is the derivative of j(w) wrt w? 6*w**2 Let p = -14 + 11. Let j(f) = -56*f**2 - 7*f + 75. Let x(g) = -28*g**2 - 3*g + 37. Let d(l) = p*j(l) + 7*x(l). What is the derivative of d(a) wrt a? -56*a Find the second derivative of 875*s + 8*s**2 - 4335*s**3 - 5*s**4 + 9 - 9 + 4335*s**3 wrt s. -60*s**2 + 16 Let r(q) be the first derivative of 107*q**2/2 + 41*q + 66. Differentiate r(w) with respect to w. 107 Let n(m) be the second derivative of 6*m**2 + 5*m**3 - 8*m - 4*m**3 + 2*m**3 + 3*m**3. Differentiate n(q) wrt q. 36 Let m be (2 + -3 - -16) + -3. Differentiate -14 + m*z**3 + 16 + 3*z**3 wrt z. 45*z**2 Let n(s) be the first derivative of 31 - 14/3*s**3 - 41/4*s**4 + 0*s**2 + 0*s. Find the third de
{ "pile_set_name": "DM Mathematics" }
be 5/w + (-19)/28. Which is the third biggest value? (a) 0.3 (b) 0.1 (c) p c Let w = 1206/7 + -172. What is the third biggest value in 4/13, w, -2/11, -2/5? -2/11 Let n = 103 + -107. Let m = 0.2 + -0.7. Which is the biggest value? (a) m (b) 3 (c) 5 (d) n c Let f = 1.5 - 0.1. Let t = f - -2.6. What is the third smallest value in 0.2, t, -0.3? t Let s = 0.4 - 0.31. Let u = 3.91 + s. Let t = -76 + 81. What is the third smallest value in -0.2, u, t? t Let z = 45.3 + -43.3. Which is the third smallest value? (a) -0.3 (b) z (c) -4/11 (d) -0.4 a Let k = 0.94 + 6.06. What is the biggest value in 13, k, 0.2? 13 Let o = 1.258 - 1.16. Let f = o + -1.098. What is the third smallest value in -0.3, -3/4, 5, f? -0.3 Let a = 60 + -53. Suppose 3*g - 32 = -g. Let n = a - g. What is the second smallest value in n, -4, 3? n Let s = 4 + -1. Let r be (-1)/9 + 52/144. Which is the third biggest value? (a) r (b) s (c) -5 c Let w be 1/(-1) - (-1952)/2968. Let v = w - -3/53. Which is the fourth biggest value? (a) 0 (b) -2 (c) v (d) 0.3 b Let v = 79 + -43. Let j = 35.5 - v. What is the biggest value in j, -0.1, -2.2? -0.1 Let f = 23.8 - 28.8. Let a be 2/5 + 128/(-120). What is the third biggest value in a, f, 0.2, 2? a Let v = -131/3 - -44. Let c be (-25)/(-78) - 4/24. What is the second smallest value in c, v, 5? v Let i be ((-250)/15)/(-10) - (-2)/((-48)/58). Let t = 14 + -9. What is the second biggest value in i, t, -5? i Suppose 12 = 3*l - t, -t - 24 = -3*l - 4*t. Suppose l*d - 15 = 4*p, 8*p = d + 6*p - 9. Which is the third biggest value? (a) 3/8 (b) 2/3 (c) d c Let h = 29.063 + -0.063. Let m = h - 29. What is the third biggest value in -0.2, -4, m? -4 Let x = 0.75 - -2.25. Let o = 2.8 - 3. Let q = o + 0.1. Which is the third smallest value? (a) -5 (b) x (c) q b Let g be (-2 + 5 - 4) + 4. Let i = 0 - -0.2. Let n = i + 0. What is the second biggest value in g, n, 1? 1 Let s = 4.3 - 3.9. Let x = 60 + -119/2. What is the third biggest value in -2/9, s, x? -2/9 Let t = 3 + -3. Let g = 174 + -173.5. What is the third smallest value in g, t, 3? 3 Let q = 495 - 493. Which is the third biggest value? (a) 1/3 (b) 5 (c) 2/11 (d) q a Let z = 5.501 + -5.701. Let a = 11 - 6. What is the third smallest value in z, 3, 2, a? 3 Let h = -24.7 + 16.7. Let r = 3 - -2. Let k = r + -10. What is the third biggest value in 0.1, k, h? h Let d = -3.2 - -2. Let y = -0.2 - d. Let h = -16 - -16.4. Which is the second smallest value? (a) 4/5 (b) y (c) h a Let s = 140 + -139.937. Let y = -0.437 - s. Which is the third smallest value? (a) 1 (b) y (c) -10 (d) -1/3 d Let r = -3 + 7. Let m = 2519 + -2520. What is the second biggest value in 1/3, -4/9, r, m? 1/3 Let v be 155/25 + -7 + (-2 - -2). Which is the third biggest value? (a) -2 (b) 1/5 (c) v (d) 3 c Let u be 0/(24/(-40)*-5). What is the smallest value in -2/15, u, -4, 23/5? -4 Let t = 0.46 - 0.06. Let r = 15.124 - 0.024. Let x = -15 + r. What is the biggest value in 6/11, t, x? 6/11 Let k(v) = v - 7. Let j be k(2). What is the second biggest value in -2/5, j, 3, -4? -2/5 Let j be (-256)/(-124) + 20/(-310). Which is the third biggest value? (a) 0 (b) 1 (c) -1 (d) j a Let p = 2 + -2.01. Let o be 1*-2*10/(-2). Let f be 5/o*(-6)/15. What is the second smallest value in f, -5, p? f Let y = -12 - -12.29. Let v = -0.21 - y. What is the third biggest value in v, 4, -8? -8 Let u be ((-1)/2)/(3/(-2)). Let a(z) be the first derivative of -z**2/2 - 10*z + 13. Let c be a(-7). What is the biggest value in u, 0.5, c? 0.5 Let z = 29.9 + -30.4. Suppose 2*k + 2*k - 5*q - 11 = 0, -16 = k - 5*q. Let j be 3/k*1 - 1. Which is the second biggest value? (a) -0.4 (b) j (c) z c Let s = 16 + -14. Suppose l = -5*t + 6, 4 = 4*t - l + s*l. Suppose -t*q + 6*q = 8. Which is the smallest value? (a) 1 (b) -1 (c) q b Let k be -4*(-1)/(-2)*-1. Suppose -2*m + 19 = -k*u + m, -3*u = -2*m + 21. Let y = -0.6 - -0.1. Which is the smallest value? (a) u (b) y (c) 3 a Let j(g) be the first derivative of g**3/3 + 3*g**2 - 6*g - 5. Let r be j(-7). Let w = 0.34 - 0.44. Which is the second smallest value? (a) w (b) r (c) -4 a Let x = 44.77 + -47.6. Let i = x - 0.17. Let j = 0.18 + 0.32. Which is the biggest value? (a) j (b) 0.2 (c) i a Let d = -0.03 - 0.17. Which is the second biggest value? (a) 14/9 (b) d (c) 3 a Let v = -180.9 - -182.9. Which is the smallest value? (a) 2/17 (b) -6/11 (c) v b Let l = 143 + -142.9. What is the biggest value in 0.5, l, 228? 228 Let y = 0.91 - 0.41. What is the third smallest value in -2/11, y, -7? y Let v = 0.0524 - 5.0524. Let x = -0.2 + 0. What is the third smallest value in x, -3, v? x Let k = 5 - 3.3. Let q = 1.6 - k. Which is the third smallest value? (a) 3 (b) 5 (c) 4 (d) q c Let s = -111 - -111.2. Which is the smallest value? (a) 8 (b) -4/7 (c) s b Let p = 1043 + -900. Which is the second biggest value? (a) -1 (b) p (c) 3 c Let p = -507.07 + 507. Which is the fourth biggest value? (a) 2 (b) 2/9 (c) p (d) -5 d Let s = -7 - -19. Let j be (-2)/(-12) - (-4)/s. What is the second smallest value in 0, j, -1, 8? 0 Let t = -19 + 107. Let w = t - 88.025. What is the third biggest value in -0.1, -4, w? -4 Let x = -358 - -1429/4. What is the third smallest value in 6/11, 0.19, 1, x? 6/11 Let v = 29 - 27. Let m = 4.43 - 0.43. Which is the third biggest value? (a) 2/13 (b) m (c) v a Suppose 5*s = 3*s - 4. Let q = 0.026 - -0.074. Which is the fourth smallest value? (a) q (b) 6/7 (c) 0 (d) s b Let l be 36 - 33 - 27/12. What is the biggest value in l, 0.3, 17, -4/3? 17 Suppose -z + f = 7, 0*z = 2*z - 4*f + 18. What is the smallest value in 2, z, -0.2, 4/3? z Let q = -38.2 - -38. What is the second biggest value in 0, -9, q? q Let r be ((-8)/(-40))/(4/20). Which is the fourth biggest value? (a) -3/8 (b) r (c) 278 (d) 3 a Suppose -x + 10 = 4*x, 23 = -3*f + 4*x. Let i be ((-1032)/21)/(10/f). Let p = i - 25. Which is the second biggest value? (a) p (b) 3/5 (c) -2 a Let d = 0.0627 + -0.0627. What is the fourth smallest value in -0.4, 0.1, -36, d? 0.1 Let j = 2.99 - 3. Let d = j + -0.09. Which is the biggest value? (a) d (b) 0 (c) 2/7 c Let k = 109/10 + -52/5. Which is the second biggest value? (a) -3 (b) 10 (c) k (d) 4 d Let v = 27.035 + -0.035. Let o = 27 - v. What is the fourth biggest value in o, -1/4, 0.2, -5? -5 Let f = -2 + 2.4. Let g = -1305 - -225764/173. Let y = g + -515/692. What is the biggest value in y, 0.3, f? f Let m be (-16)/(-42) + 4/(-6). Let p = 0.21 - -22.79. Let a = p + -20. What is the third smallest value in a, -0.3, m? a Let q = -4/5 + 6/5. What is the biggest value in q, -2, -0.1, 2? 2 Let i = 387 - 1933/5. Let j = -0.6 - -3.6. Let u = j - 2.5. What is the smallest value in i, u, -0.02? -0.02 Let m(d) = 0 - 5 - 13 + 2*d - 2. Let l be m(12). What is the third smallest value in l, -0.2, 0.4? l Let j = 27.09 + -0.09. Let n = -26.8 + j. What is the fourth smallest value in -3/4, n, -1/5, -0.5? n Let n = -28.2 - -24. Let q = 0.2 + n. Let j = -0.07 - 2.93. What is the biggest value in j, q, 3? 3 Let w = -67 - -106. Let k = 73/2 - w. Let y = -0.8 - -0.8. Which is the second smallest value? (a) 4 (b) k (c) y c Let g = 167 + -166.9. Let k = -2 + -3. What is the second smallest value in k, g, 1? g Let m be 3/(35/7 - 40). What is the third smallest value in 0, m, -0.2, -3/7? m Let z be 97/(-388)*(-24)/10. Which is the second smallest value? (a) z (b) 0.1 (c) 0.04 b Let r(y) = -4*y - 6. Let o be r(-7). Let i = 0 - 20. Let v = i + o. What is the third smallest value in v, 4, 9? 9 Let m = -279 - -278. What is the second smallest value in m, 0.4, -16/5? m Let r = 2.57 - -0.43. What is the third biggest value in r, 4/23, 1/2? 4/23 Let o(n) = n**2 + 10*n + 11. Let v be o(-9). Which is the biggest value? (a) v (b) -83 (c) -0.4 (d) 4 d Let f = -264 + 1051/4. Let a = -0.42 - 2.48. Let c = a - -3. What is the third smallest value in f, c, -2/9? c Let p = -702 + 716.74. Let v = 0.26 + p. Let m = -19 + v. What is the third biggest value in -2/7, m, -5? -5 Let c = -72 - -75. What is the biggest value in 2/3, -2/5, -44, c? c Let t = 103.5 - 79. Let w = -7.5 - t. Let q = w - -33. What is the third smallest value in 0, -5/3, q? q Let v = -0.082 + -0.918. What is
{ "pile_set_name": "DM Mathematics" }
d to six decimal places? 0.000004 Round 2500400 to the nearest ten thousand. 2500000 Round 1135610 to the nearest ten thousand. 1140000 Round -1433 to the nearest one hundred. -1400 What is -417.1 rounded to the nearest 10? -420 What is -0.000001811 rounded to seven decimal places? -0.0000018 What is -0.007606 rounded to 3 dps? -0.008 What is -3.7105 rounded to one dp? -3.7 Round -31194000 to the nearest 100000. -31200000 What is -0.0000015206 rounded to seven dps? -0.0000015 Round 85259 to the nearest one thousand. 85000 Round -1.04563 to 2 dps. -1.05 What is -8150 rounded to the nearest 1000? -8000 Round -279.41 to the nearest 100. -300 Round 0.00001555 to seven decimal places. 0.0000156 Round -121.4 to the nearest 10. -120 Round 717.66 to the nearest integer. 718 What is 0.07051 rounded to two decimal places? 0.07 Round -0.0177 to two dps. -0.02 Round -18160 to the nearest one thousand. -18000 Round -6565.9 to the nearest ten. -6570 What is 376.38 rounded to the nearest 100? 400 Round -0.029143 to four dps. -0.0291 Round -3184800 to the nearest one million. -3000000 What is 46.99 rounded to the nearest 10? 50 Round -4573.3 to the nearest one thousand. -5000 What is 0.31568 rounded to 3 decimal places? 0.316 Round 16 to the nearest one thousand. 0 Round -1082000 to the nearest ten thousand. -1080000 Round 60060 to the nearest 1000. 60000 Round 1286 to the nearest one hundred. 1300 Round -193990 to the nearest one thousand. -194000 What is -13306000 rounded to the nearest one hundred thousand? -13300000 What is 1.615 rounded to one decimal place? 1.6 What is 9674600 rounded to the nearest 10000? 9670000 Round -1.85 to the nearest integer. -2 What is 1280000 rounded to the nearest 1000000? 1000000 What is -0.00000227919 rounded to six dps? -0.000002 Round -16.75 to zero dps. -17 What is 147 rounded to the nearest one hundred? 100 Round -0.3905 to two decimal places. -0.39 What is -278100 rounded to the nearest 10000? -280000 What is -55.829 rounded to zero decimal places? -56 Round -5986.2 to the nearest ten. -5990 Round -43.716 to zero dps. -44 Round 0.227 to 2 decimal places. 0.23 What is -3620000 rounded to the nearest 1000000? -4000000 Round -1.7602 to one decimal place. -1.8 Round 0.000039467 to 6 decimal places. 0.000039 What is 0.02365 rounded to 3 dps? 0.024 Round 0.00792 to three decimal places. 0.008 What is -84.8 rounded to the nearest one hundred? -100 Round -0.00649 to three decimal places. -0.006 What is -510 rounded to the nearest 100? -500 What is 5295200 rounded to the nearest 10000? 5300000 Round 0.00350267 to 5 decimal places. 0.0035 What is 54116 rounded to the nearest ten thousand? 50000 Round -193800 to the nearest 10000. -190000 Round 0.00795 to three dps. 0.008 What is -0.0000004588 rounded to 7 decimal places? -0.0000005 Round -0.000004827 to 7 dps. -0.0000048 What is -46.11 rounded to zero decimal places? -46 Round -228.63 to the nearest 100. -200 Round -405000 to the nearest 100000. -400000 Round -0.000911 to 4 dps. -0.0009 What is -0.4344 rounded to two dps? -0.43 Round 11097000 to the nearest one million. 11000000 What is -0.00001181 rounded to 6 decimal places? -0.000012 What is 0.0001162 rounded to 6 dps? 0.000116 What is -89930 rounded to the nearest one thousand? -90000 What is -0.007147 rounded to three decimal places? -0.007 What is -2780.99 rounded to the nearest ten? -2780 What is 6950300 rounded to the nearest ten thousand? 6950000 Round 0.0019065 to five dps. 0.00191 What is -429.08 rounded to the nearest 10? -430 Round -1.001 to 1 dp. -1 What is 0.00018871 rounded to five decimal places? 0.00019 Round 20081000 to the nearest one million. 20000000 What is -0.0131381 rounded to 4 dps? -0.0131 Round 0.000314117 to 4 decimal places. 0.0003 Round 234.1 to the nearest 10. 230 Round 0.755 to one decimal place. 0.8 What is -316700 rounded to the nearest one hundred thousand? -300000 Round 0.0002014 to 4 decimal places. 0.0002 Round -3505400 to the nearest 100000. -3500000 What is -183800 rounded to the nearest ten thousand? -180000 What is 1954130 rounded to the nearest 10000? 1950000 What is 20568 rounded to the nearest one hundred? 20600 Round -324 to the nearest 100. -300 What is 0.00012501 rounded to 6 decimal places? 0.000125 What is 0.0005271 rounded to 4 dps? 0.0005 Round -0.000008159 to 7 dps. -0.0000082 Round -0.257 to 2 dps. -0.26 What is 150.76 rounded to the nearest integer? 151 What is 0.000140083 rounded to 6 dps? 0.00014 What is -0.83816 rounded to 1 decimal place? -0.8 Round 0.000006894 to 6 dps. 0.000007 What is 0.000152199 rounded to five dps? 0.00015 What is -0.00008101 rounded to 5 dps? -0.00008 Round -2.0387 to two dps. -2.04 Round 67380 to the nearest 10000. 70000 What is -0.00000659 rounded to seven dps? -0.0000066 What is 280000 rounded to the nearest one million? 0 Round -51.222 to the nearest ten. -50 What is 0.68632 rounded to 1 decimal place? 0.7 Round 0.000001277 to 7 decimal places. 0.0000013 Round -243.47 to the nearest ten. -240 What is -0.026968 rounded to four dps? -0.027 What is 120.42 rounded to the nearest ten? 120 Round 668310 to the nearest 1000. 668000 Round 0.000047349 to five dps. 0.00005 What is 3.239 rounded to one decimal place? 3.2 Round 150875 to the nearest 10000. 150000 What is 718800 rounded to the nearest ten thousand? 720000 Round -0.0008511 to four dps. -0.0009 Round 105980 to the nearest 10000. 110000 Round -8.1561 to 0 decimal places. -8 What is -5.164 rounded to 1 decimal place? -5.2 What is 0.00027458 rounded to 6 decimal places? 0.000275 What is -1106300 rounded to the nearest 100000? -1100000 What is -4514.3 rounded to the nearest 10? -4510 What is -0.026201 rounded to four dps? -0.0262 Round -0.00000721 to seven dps. -0.0000072 Round -0.024584 to 2 dps. -0.02 Round 0.00002571 to 6 dps. 0.000026 Round 0.00000025791 to seven decimal places. 0.0000003 Round -3.9185 to 2 decimal places. -3.92 Round 6.8108 to zero decimal places. 7 Round -0.21817 to three dps. -0.218 Round 0.0000020899 to six decimal places. 0.000002 What is 139760000 rounded to the nearest 1000000? 140000000 Round 0.00003538 to 5 decimal places. 0.00004 Round -3066.2 to the nearest 1000. -3000 Round 0.005741 to three dps. 0.006 What is 74.452 rounded to the nearest 10? 70 Round -1095400 to the nearest ten thousand. -1100000 Round 0.00001741 to 6 decimal places. 0.000017 Round -0.04284 to 2 dps. -0.04 Round -136100 to the nearest 10000. -140000 Round -0.00002594 to 7 decimal places. -0.0000259 Round 0.00088782 to six decimal places. 0.000888 What is -103.82 rounded to the nearest integer? -104 What is -21.795 rounded to the nearest ten? -20 Round -4643000 to the nearest one hundred thousand. -4600000 Round -0.00158471 to 4 decimal places. -0.0016 Round 32840 to the nearest one thousand. 33000 What is 1600 rounded to the nearest one hundred thousand? 0 What is 27000 rounded to the nearest 100000? 0 Round 0.0000007441 to seven dps. 0.0000007 Round -624.11 to the nearest one hundred. -600 Round -32666 to the nearest 100. -32700 What is 1453.5 rounded to the nearest 100? 1500 What is -2.8291 rounded to two decimal places? -2.83 Round 3.624 to 0 dps. 4 Round -0.000240962 to 6 dps. -0.000241 Round -1601.1 to the nearest one hundred. -1600 What is 0.0000057281 rounded to 6 decimal places? 0.000006 Round 85960 to the nearest 1000. 86000 What is -661800 rounded to the nearest one hundred thousand? -700000 What is 0.001229 rounded to three decimal places? 0.001 Round -899.38 to the nearest one hundred. -900 What is -0.5234 rounded to 2 decimal places? -0.52 What is -0.0951 rounded to two decimal places? -0.1 Round -1.62 to one dp. -1.6 Round -841.47 to the nearest 100. -800 What is 75.34 rounded to 1 decimal place? 75.3 What is 0.00002855 rounded to 5 dps? 0.00003 Round -0.000001076 to seven dps. -0.0000011 What is -0.000122439 rounded to 5 dps? -0.00012 Round -0.04592 to three decimal places. -0.046 What is 1112.8 rounded to the nearest 100? 1100 Round -127767 to the nearest ten thousand. -130000 Round -0.0000167123 to six decimal places. -0.000017 What is 0.016092 rounded to three decimal places? 0.016 What is 0.000092264 rounded to 7 dps? 0.0000923 Round 0.0708 to two decimal places. 0.07 What
{ "pile_set_name": "DM Mathematics" }
10 In base 12, what is -5 + 59? 54 In base 12, what is 49 - 5? 44 In base 5, what is 3144 - -2? 3201 In base 7, what is -4 - -26? 22 In base 4, what is 10000 - 1200? 2200 In base 3, what is 10 + 0? 10 In base 16, what is -ab8 + -2? -aba In base 7, what is -13 - 220? -233 In base 7, what is -5 + 50? 42 In base 13, what is 597 + 9? 5a3 In base 6, what is -225 - 105? -334 In base 7, what is -501 - -5? -463 In base 9, what is -2 - -4682? 4680 In base 6, what is 110 + 5? 115 In base 7, what is 5 + 52? 60 In base 7, what is -5 + -135? -143 In base 5, what is 1301 - 0? 1301 In base 9, what is -210 - 12? -222 In base 16, what is 5b + 50? ab In base 10, what is -4 + 19? 15 In base 14, what is c - 128? -11a In base 4, what is -33 - 20031? -20130 In base 8, what is 10 - 742? -732 In base 4, what is 0 - -131? 131 In base 10, what is 3 - -240? 243 In base 11, what is -4 + -671? -675 In base 9, what is -16 - 38? -55 In base 13, what is -242 + 28? -217 In base 2, what is -11000111 + -101? -11001100 In base 3, what is 10220 + 11? 11001 In base 13, what is -16 - 13? -29 In base 6, what is 52 - 2001? -1505 In base 14, what is -9 + -b? -16 In base 8, what is -4 + -323? -327 In base 12, what is 8a1 + 6? 8a7 In base 4, what is 2 + 210030? 210032 In base 14, what is -4 - -23? 1d In base 15, what is -18 - -32? 19 In base 9, what is 178 - 0? 178 In base 15, what is 1 + 2e2? 2e3 In base 13, what is -7 - 377? -381 In base 2, what is -100 - -101011? 100111 In base 5, what is 14 + -240? -221 In base 13, what is -7 + -314? -31b In base 2, what is -1111 - -110? -1001 In base 10, what is -28 + 285? 257 In base 9, what is -11 + 2? -8 In base 10, what is 2 - -1954? 1956 In base 3, what is 11210 - 0? 11210 In base 8, what is -703 + 2? -701 In base 9, what is 14 - 27? -13 In base 13, what is 3a9 + -21? 388 In base 15, what is -2 + 9? 7 In base 9, what is 173 - 14? 158 In base 11, what is -24 - -9? -16 In base 11, what is -1 + -27a? -280 In base 13, what is 3a6 - -1? 3a7 In base 3, what is 1101112 - 0? 1101112 In base 3, what is -21011 + -2? -21020 In base 13, what is 4ac + 1? 4b0 In base 13, what is -15a3 + -5? -15a8 In base 15, what is -53c - -2? -53a In base 11, what is 4 - 185? -181 In base 2, what is -11001011 - -101? -11000110 In base 3, what is -110 + 222? 112 In base 12, what is 2 - -28? 2a In base 3, what is 21220120 + -2? 21220111 In base 5, what is 3 + -2144? -2141 In base 16, what is -4 - 26? -2a In base 11, what is -5 - 4? -9 In base 11, what is -1 - -3a3? 3a2 In base 14, what is -1d54 + 3? -1d51 In base 12, what is -5 - 17? -20 In base 14, what is 103 - -4? 107 In base 10, what is 8 - -4? 12 In base 13, what is -4 - -b3b? b37 In base 6, what is 2 - 214? -212 In base 15, what is -51 - -6a? 19 In base 11, what is 22 - -15? 37 In base 4, what is -212 - -20? -132 In base 5, what is 412 + 10? 422 In base 5, what is 3 - -2002? 2010 In base 5, what is 1112 - 0? 1112 In base 14, what is 2 - a5b? -a59 In base 3, what is 2222 + -112? 2110 In base 14, what is -c18 - 5? -c1d In base 15, what is -42e9 + -2? -42eb In base 4, what is -3003 + -110? -3113 In base 14, what is -4 + -34? -38 In base 7, what is 10643 - -3? 10646 In base 12, what is -4 + 27? 23 In base 12, what is -14 + 2? -12 In base 12, what is -203 + 1? -202 In base 3, what is -20 - 202100? -202120 In base 7, what is 46 - 5? 41 In base 3, what is -11 - -1100011? 1100000 In base 13, what is -21 - -40? 1c In base 8, what is -3 + -13? -16 In base 4, what is 1010 + -332? 12 In base 8, what is 2 + -64? -62 In base 9, what is 1 - 6? -5 In base 14, what is -19c + 9? -193 In base 7, what is -62 - 5? -100 In base 15, what is 4 - c0? -bb In base 5, what is -1441 - -1? -1440 In base 3, what is 0 - 220? -220 In base 7, what is -31 + 16? -12 In base 10, what is -360 - 1? -361 In base 2, what is 10010 - -11110011? 100000101 In base 3, what is 101222 + 2? 102001 In base 4, what is -10 - -12330? 12320 In base 15, what is -1 - 62? -63 In base 5, what is 100 + 334? 434 In base 15, what is 7a - -5? 80 In base 15, what is 7 + 10e? 116 In base 14, what is 0 - -9a? 9a In base 2, what is 111010 - 10? 111000 In base 7, what is 2605 - 0? 2605 In base 2, what is -111 - 101011? -110010 In base 11, what is -1 + -4? -5 In base 3, what is -12 - -1212001? 1211212 In base 7, what is -2 - 230? -232 In base 9, what is -6 - 86? -103 In base 9, what is 7676 + -1? 7675 In base 13, what is b3 - 63? 50 In base 12, what is -1 + 1037? 1036 In base 6, what is 144 - -24? 212 In base 9, what is 0 + 1137? 1137 In base 16, what is 3 + -1b? -18 In base 8, what is -1437 + 2? -1435 In base 8, what is 2565 + 12? 2577 In base 10, what is -13 + -17? -30 In base 14, what is -1 + -15? -16 In base 15, what is 6 - -41? 47 In base 7, what is -61 + -12? -103 In base 12, what is -5 - -12? 9 In base 13, what is 1b5 + 3? 1b8 In base 12, what is -4 - -4? 0 In base 13, what is 151 - 5? 149 In base 16, what is 2 + a3? a5 In base 10, what is 84 + -27? 57 In base 6, what is 5 + -523? -514 In base 13, what is 89 + -2? 87 In base 16, what is 3b + 48? 83 In base 10, what is -362 - 4? -366 In base 14, what is -5 - 38a? -391 In base 15, what is -77 - -2c? -4a In base 3, what is 2210020 + 0? 2210020 In base 9, what is 1247 + 2? 1250 In base 15, what is -6 - 191? -197 In base 11, what is 26 - -9? 34 In base 13, what is 0 + 10? 10 In base 10, what is -3 - -9? 6 In base 10, what is -202 + -16? -218 In base 16, what is -275 + -a? -27f In base 4, what is -11 + 1033? 1022 In base 11, what is 1a3 - -34? 227 In base 13, what is -272b + 5? -2726 In base 12, what is -5 + -82? -87 In base 6, what is 4 - 20453? -20445 In base 14, what is -6 - -29? 23 In base 9, what is 102 + -323? -221 In base 15, what is -1 - 14? -15 In base 14, what is -79 + 0? -79 In base 5, what is -1 - 21041? -21042 In base 14, what is -16c + -8? -176 In base 7, what is 250 - 5? 242 In base 4, what is 1 - -22? 23 In base 3, what is 11 + 10101? 10112 In base 13, what is -4 + -8? -c In base 12, what is 71 + 3? 74 In base 12, what is 526a + 2? 5270 In base 6, what is -15 + 40? 21 In base 13, what is a + -140? -133 In base 16, what is -7 + -d84? -d8b In base 5, what is -412 + -2? -414 In base 12, what is -4 + 1? -3 In base 14, what is -4 - -94? 90 In base 15, what is 6c + 17? 84 In base 5, what is 10 - 412? -402 In base 12, what is 2 + -41? -3b In base 6, what is -514 + -1? -515 In base 3, what is 0 + -11011? -11011 In base 5, what is 1 - -311? 312 In base 6, what is 23 - 1? 22 In base 7, what is -525 - -26? -466 In base 3, what is 101 - 120? -12 In base 5, what is -11 + -30? -41 In base 15, what is -56 + 4e? -7 In base 16, what is -1 - -6a? 69 In base 5, what is 31 - -124? 210 In base 8, what is 1161 - 3? 1156 In base 8, what is 622 - 4? 616 In base 9, what is 77 + 40? 127 In base 3, what is 122 + -220? -21 In base 14, what is -51 + -3? -54 In base 8, what is -3 + 34? 31 In base 4, what is -13 + 2111? 2032 In base 4, what is -21322 - 10? -21332 In base 8, what is -1 - -1055? 1054 In base 2, what is 101000010 + 11? 101000101 In base 14, what is -28 + -b? -35 In base 4, what is 3 + -123? -120 In base 9, what is 17 - -10? 27 In base 2, what is 11 - 1001100111? -1001100100 In base 3, what is -2 + -1121? -1200 In base 3, what is 2002001 - -1? 2002002 In base 15, what is c34 + -3? c31 In base 14, what is -6 - 4? -a In base 7, what is 1153 + -11? 1142 In base 12, what is 0 + -343? -343 In base 10, what is -2265 + 5? -2260 In base 14, what is 6ab + -5? 6a6 In base 3, what is 1020021 + -2? 1020012 In base 15, what is 7 - -33? 3a In base 7, what is -564 + 0? -564 In base 2, what is 10010010100100 - 0? 10010010100100 In base 15, what is -1 + b1? b0 In base 10, what is 937 + 22? 959 In base 4, what is 1 + -1? 0 In base 5, what is 4 - 1243? -1234 In base 13, what is 3144 - 4? 3140 In base 3, what is 202 - -22? 1001 In base 7, what is 5 - 1243? -1235 In base 5, what is 1 - 4141? -4140 In base 8, what is 114344 - 4? 114340 In base 13, what is 28 + 16? 41 In base 9, what is -4 + 374? 370 In base 13, what is 134 + 2? 136 In base 6, what is 3 + -1324? -1321 In base 13, what is -89 - 3? -8c In base 2, what is -1000000010001 - -11? -1000000001110 In base 8, what is 50 + 4? 54 In base 6, what is 144 - 2? 142 In base 13, what is -1 - 451? -452 In
{ "pile_set_name": "DM Mathematics" }
17, 2621 What are the prime factors of 5381704? 2, 29, 23197 List the prime factors of 33057351. 3, 3673039 What are the prime factors of 2367615? 3, 5, 157841 What are the prime factors of 8115740? 2, 5, 83, 4889 List the prime factors of 1403014. 2, 701507 List the prime factors of 717528. 2, 3, 7, 4271 What are the prime factors of 235931? 131, 1801 What are the prime factors of 16203024? 2, 3, 37507 What are the prime factors of 5610650? 2, 5, 112213 What are the prime factors of 1263828? 2, 3, 105319 List the prime factors of 653331. 3, 7, 53, 587 What are the prime factors of 1525346? 2, 109, 6997 List the prime factors of 10714416. 2, 3, 223217 List the prime factors of 17657. 17657 What are the prime factors of 959612? 2, 127, 1889 What are the prime factors of 120877? 120877 What are the prime factors of 582006? 2, 3, 97001 What are the prime factors of 17678980? 2, 5, 11, 17, 29, 163 What are the prime factors of 1580621? 7, 349, 647 What are the prime factors of 2430154? 2, 311, 3907 List the prime factors of 86640. 2, 3, 5, 19 What are the prime factors of 11100886? 2, 5550443 List the prime factors of 12457356. 2, 3, 29, 35797 What are the prime factors of 2493729? 3, 7, 23, 1721 List the prime factors of 4360654. 2, 83, 109, 241 List the prime factors of 1275158. 2, 727, 877 What are the prime factors of 6130961? 83, 73867 What are the prime factors of 23445487? 13, 19, 23, 4127 List the prime factors of 5812180. 2, 5, 11, 29, 911 List the prime factors of 513316. 2, 181, 709 What are the prime factors of 5890796? 2, 59, 109, 229 What are the prime factors of 3299? 3299 What are the prime factors of 2618644? 2, 7, 93523 List the prime factors of 72904. 2, 13, 701 List the prime factors of 298036. 2, 74509 List the prime factors of 1537669. 7, 4483 What are the prime factors of 2322921? 3, 19, 83, 491 What are the prime factors of 64112? 2, 4007 What are the prime factors of 38588? 2, 11, 877 What are the prime factors of 650567? 650567 List the prime factors of 93079. 7, 13297 What are the prime factors of 370269? 3, 41141 What are the prime factors of 1749345? 3, 5, 13, 8971 What are the prime factors of 372393? 3, 7, 23, 257 List the prime factors of 20741378. 2, 7, 1481527 List the prime factors of 195775. 5, 41, 191 What are the prime factors of 1350101? 1350101 What are the prime factors of 569121? 3, 7, 41, 661 What are the prime factors of 139613? 149, 937 What are the prime factors of 2037589? 569, 3581 List the prime factors of 227204. 2, 79, 719 What are the prime factors of 58067? 58067 List the prime factors of 4050. 2, 3, 5 List the prime factors of 8806271. 43, 204797 List the prime factors of 3555726. 2, 3, 592621 What are the prime factors of 8081247? 3, 2693749 List the prime factors of 31347275. 5, 23, 54517 List the prime factors of 1972946. 2, 79, 12487 What are the prime factors of 12314702? 2, 6157351 List the prime factors of 1477069. 11, 47, 2857 List the prime factors of 736121. 736121 List the prime factors of 326596. 2, 81649 List the prime factors of 3999989. 7, 43, 97, 137 List the prime factors of 305579. 431, 709 What are the prime factors of 246889? 246889 What are the prime factors of 44457? 3, 7, 29, 73 List the prime factors of 9443149. 401, 23549 List the prime factors of 15957132. 2, 3, 1329761 What are the prime factors of 525322? 2, 7, 157, 239 What are the prime factors of 3404180? 2, 5, 13, 13093 List the prime factors of 5475601. 149, 36749 List the prime factors of 7387648. 2, 47, 307 List the prime factors of 8936252. 2, 13, 171851 List the prime factors of 189644. 2, 7, 13, 521 List the prime factors of 230717. 19, 12143 List the prime factors of 21343. 7, 3049 List the prime factors of 36124101. 3, 13, 283, 1091 List the prime factors of 9285630. 2, 3, 5, 309521 List the prime factors of 1469147. 1469147 What are the prime factors of 503301? 3, 127, 1321 List the prime factors of 218840. 2, 5, 5471 List the prime factors of 230899. 73, 3163 What are the prime factors of 2780237? 1301, 2137 What are the prime factors of 247752? 2, 3, 31, 37 List the prime factors of 2559878. 2, 821, 1559 What are the prime factors of 10128? 2, 3, 211 List the prime factors of 1608764. 2, 89, 4519 List the prime factors of 2792106. 2, 3, 181, 857 List the prime factors of 126483. 3, 7, 19, 317 What are the prime factors of 8911179? 3, 17, 58243 List the prime factors of 22928. 2, 1433 List the prime factors of 264044. 2, 11, 17, 353 List the prime factors of 6567334. 2, 113, 29059 What are the prime factors of 213701? 29, 7369 List the prime factors of 1519370. 2, 5, 151937 List the prime factors of 398859. 3, 132953 List the prime factors of 1223215. 5, 7, 34949 What are the prime factors of 5143610? 2, 5, 514361 What are the prime factors of 48344? 2, 6043 What are the prime factors of 4974351? 3, 101, 16417 What are the prime factors of 950267? 83, 107 List the prime factors of 7942474. 2, 53, 74929 What are the prime factors of 853542? 2, 3, 47419 What are the prime factors of 267715? 5, 7, 7649 What are the prime factors of 119650? 2, 5, 2393 List the prime factors of 14101781. 19, 742199 List the prime factors of 14354572. 2, 227, 15809 List the prime factors of 9182518. 2, 281, 16339 What are the prime factors of 4161444? 2, 3, 7, 107, 463 List the prime factors of 14698616. 2, 863, 2129 What are the prime factors of 70814? 2, 35407 What are the prime factors of 4743959? 11, 431269 List the prime factors of 1751857. 19, 92203 List the prime factors of 4726387. 4726387 List the prime factors of 36993881. 31, 1193351 What are the prime factors of 13333480? 2, 5, 333337 List the prime factors of 133474. 2, 11, 6067 List the prime factors of 319971. 3, 106657 List the prime factors of 824688. 2, 3, 23, 83 List the prime factors of 16252902. 2, 3, 449, 2011 What are the prime factors of 3698503? 17, 217559 List the prime factors of 360728. 2, 67, 673 What are the prime factors of 613925? 5, 13, 1889 List the prime factors of 148319. 71, 2089 List the prime factors of 14361938. 2, 7180969 List the prime factors of 159231. 3, 53077 What are the prime factors of 63379? 61, 1039 What are the prime factors of 178766? 2, 7, 113 List the prime factors of 564998. 2, 7, 40357 What are the prime factors of 30179763? 3, 1117769 List the prime factors of 601077. 3, 191, 1049 List the prime factors of 5683920. 2, 3, 5, 11, 2153 What are the prime factors of 221127? 3, 73709 List the prime factors of 2055070. 2, 5, 205507 What are the prime factors of 21112426? 2, 31, 229, 1487 What are the prime factors of 15203? 23, 661 What are the prime factors of 299030? 2, 5, 17, 1759 List the prime factors of 270151. 7, 38593 What are the prime factors of 466355? 5, 19, 4909 List the prime factors of 612254. 2, 107, 2861 What are the prime factors of 5083982? 2, 19, 337, 397 What are the prime factors of 1434205? 5, 17, 47, 359 List the prime factors of 1375187. 11, 125017 List the prime factors of 109356. 2, 3, 13, 701 What are the prime factors of 3108051? 3, 38371 List the prime factors of 2093231. 7, 42719 List the prime factors of 1345643. 13, 103511 List the prime factors of 6007917. 3, 43, 46573 List the prime factors of 146109. 3, 113, 431 List the prime factors of 13059384. 2, 3, 13, 19, 2203 What are the prime factors of 80813? 211, 383 List the prime factors of 5714528. 2, 43, 4153 What are the prime factors of 656485? 5, 131297 What are the prime factors of 14597651? 14597651 What are the prime factors of 1473353? 7, 109, 1931 What are the prime factors of 2708509? 2708509 What are the prime factors of 41238? 2, 3, 29, 79 What are the prime factors of 19564828? 2, 43, 113749 List the prime factors of 7459990. 2, 5, 745999 List the prime factors of 24946252. 2, 53, 117671 List the prime factors of 432292. 2, 7, 15439 List the prime factors of 5584352. 2, 47, 79 List the prime factors of 12116862. 2, 3, 79, 8521 List the prime factors of 291998. 2, 7, 20857 What are the prime factors of 389628? 2, 3, 79, 137 List the prime factors of 202963. 17, 11939 What are the prime factors of 423273? 3, 199, 709 List the prime factors of 16430845. 5, 983, 3343 List the prime factors of 1473499. 41, 83, 433 List the prime
{ "pile_set_name": "DM Mathematics" }
2*sqrt(91)*1))) - sqrt(91))))/(sqrt(567)*3*-6). sqrt(13)/162 Simplify (sqrt(567)/(sqrt(27)/sqrt(3)))/(-1*sqrt(900) - sqrt(900))*-4. sqrt(7)/5 Simplify 4 + (-2*sqrt(180) + 1 - (-5 + 2*sqrt(180)))**2. -288*sqrt(5) + 2920 Simplify (-6*-4*sqrt(77) - sqrt(77) - sqrt(77))/(sqrt(21)/sqrt(108)). 132*sqrt(11) Simplify -5*(-3*sqrt(13)*3)**2 + -6*(0 + sqrt(78)/sqrt(6)). -5265 - 6*sqrt(13) Simplify ((sqrt(11) + -2 + 1)*3 + -5)**2 + 3 + 4. -48*sqrt(11) + 170 Simplify 3 + -5 + sqrt(704)*-1 + (sqrt(704) + ((-1*sqrt(704) + sqrt(704))*-3)**2)*-1. -16*sqrt(11) - 2 Simplify 0 + (sqrt(294)/(4*sqrt(7) - sqrt(7)))/((sqrt(54)*-3)/sqrt(9)) + -1. -1 - sqrt(7)/9 Simplify (sqrt(252) + -1)**2 + ((sqrt(7) - sqrt(28)/sqrt(4))*3)**2 - sqrt(70)/(sqrt(90)/sqrt(729) + sqrt(10)). -129*sqrt(7)/10 + 253 Simplify ((2 + sqrt(288))*4)**2 + (-1*sqrt(200))**2. 768*sqrt(2) + 4872 Simplify 1*(-1*(sqrt(35)/sqrt(5) + 5) + -2). -7 - sqrt(7) Simplify (-2 + (sqrt(495) + sqrt(495) + (sqrt(495)*2 - sqrt(495)) + sqrt(220)/(-2*sqrt(4)))/(-1*(sqrt(450) + sqrt(50))/sqrt(10)))**2. 17*sqrt(11)/2 + 3435/64 Simplify (-4*((sqrt(272) - sqrt(272)*5) + 3))**2*-1. -69776 + 1536*sqrt(17) Simplify (sqrt(720) + -4 + 3)**2 + (sqrt(5) - ((sqrt(2450)/sqrt(10))**2 + sqrt(5) - sqrt(5))) + -5. -23*sqrt(5) + 471 Simplify 5*(-1*sqrt(1088) + 1 - ((sqrt(1088) + 2 - sqrt(1088)) + 3 + sqrt(1088)))**2. 640*sqrt(17) + 21840 Simplify 2 + (4 + (2 + sqrt(17) + 0 - (5 + sqrt(17)*3)))**2 + -1. -4*sqrt(17) + 70 Simplify (((sqrt(540)*3)/sqrt(9))/(5*(sqrt(20)/sqrt(4) - sqrt(5)) + sqrt(15)/sqrt(3)*-5))**2. 108/25 Simplify ((sqrt(165) - -2*sqrt(165))/sqrt(11))/sqrt(3) - (sqrt(5) - 5*(sqrt(5) - (2 + sqrt(5)) - sqrt(5))**2 - 3*(sqrt(5) + sqrt(20) + sqrt(5))). 45 + 34*sqrt(5) Simplify (((sqrt(448) - (sqrt(448) - (sqrt(448) + 2*sqrt(448)))) + -3)**2 - sqrt(14)/(sqrt(2)*1)*-1) + -4. -143*sqrt(7) + 4037 Simplify (6*sqrt(81))/(-2*sqrt(75)) + 3. -9*sqrt(3)/5 + 3 Simplify (1*sqrt(42)*-1)/sqrt(6) - (sqrt(7) - -2*sqrt(112) - (sqrt(7) - sqrt(14)/sqrt(2))*-4). -10*sqrt(7) Simplify (sqrt(5445) + -1*sqrt(5445))/(sqrt(1089)*1). 0 Simplify (sqrt(300)/(sqrt(90) - (sqrt(90) + (sqrt(90) - (-2*sqrt(90) - sqrt(90))))))/((sqrt(40) - sqrt(10))*1 - -2*sqrt(490)). -sqrt(3)/180 Simplify ((6*(sqrt(76) + 1) - (sqrt(76) + -1 + -5)) + -1 + -3)**2. 160*sqrt(19) + 1964 Simplify ((sqrt(165)/sqrt(3) + sqrt(55))*2)/((sqrt(80) - 1*sqrt(80)) + sqrt(80))*-4. -4*sqrt(11) Simplify 4*(-5*(sqrt(2) - (sqrt(2) + 4))*3 + sqrt(1458) + sqrt(1458)*2)**2. 38880*sqrt(2) + 66888 Simplify 3*(0 + -1*(1 + sqrt(125)) + ((sqrt(125)*2)**2 + sqrt(125))*1). 1497 Simplify -1*(sqrt(448) + 3)*-4*-4. -128*sqrt(7) - 48 Simplify -5*((sqrt(30)*-1)/sqrt(6) - sqrt(5))**2 - (-3 + (-2*sqrt(245))**2). -1077 Simplify -1 + sqrt(76)/sqrt(4)*-5 + sqrt(95)/(sqrt(50)/(sqrt(10) + sqrt(250)) + sqrt(5) + sqrt(5)). -59*sqrt(19)/13 - 1 Simplify ((2*sqrt(128) + sqrt(128)/sqrt(4))*6)**2 + (((sqrt(40)/sqrt(4) - sqrt(10))*5)/sqrt(5) + 0)**2. 28800 Simplify ((-3*3*sqrt(187)*1)/((sqrt(121) + 1*sqrt(121) + sqrt(121))/sqrt(11) - (sqrt(33)/sqrt(3)*-1 - sqrt(11) - sqrt(11))))**2. 153/4 Simplify sqrt(50)/(sqrt(80)/sqrt(392)) - ((sqrt(5) - (sqrt(15)/sqrt(3) + 4)**2) + 4). 17 + 14*sqrt(5) Simplify ((sqrt(190) + -2*sqrt(190))/sqrt(5) + -6*sqrt(152)/sqrt(4))/(sqrt(8) + 2*sqrt(968)). -7*sqrt(19)/46 Simplify (-2 + (sqrt(750)/sqrt(5))/(sqrt(9)/sqrt(75)))**2. -100*sqrt(2) + 1254 Simplify ((-6*sqrt(450)*2)/sqrt(9))/((sqrt(1440) - sqrt(1440)*2) + sqrt(30)/((sqrt(48) - sqrt(3)) + sqrt(3))). 48*sqrt(5)/47 Simplify (2*sqrt(234)*-2)/(-2*-3*(sqrt(2) - sqrt(2)*-2)). -2*sqrt(13)/3 Simplify ((sqrt(70)/((sqrt(200)/sqrt(4))/sqrt(5)) - sqrt(70)/(sqrt(90) + 1*sqrt(90))) + -1)**2. -5*sqrt(7)/3 + 211/36 Simplify 2*((-2 + -1*sqrt(475) + 5 + -5)*-2)**2. 160*sqrt(19) + 3832 Simplify 5*((sqrt(18)*-3*1 - sqrt(18))/(sqrt(225)*5))**2. 32/125 Simplify ((sqrt(1440)*-4 - sqrt(10))/(sqrt(15)/(-2*sqrt(3))))**2. 19208 Simplify (sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80) + 0)))*3 + sqrt(45) + (-4 + sqrt(405))**2. -69*sqrt(5) + 421 Simplify (sqrt(133)/sqrt(7) + -5 - sqrt(209)/(sqrt(33)/sqrt(3)) - (-4 + (-2*sqrt(228)*-6)/sqrt(12)))**2. 24*sqrt(19) + 2737 Simplify (sqrt(76) + -1 + 2 - ((-2 + sqrt(76))*1 + sqrt(76)))**2 + 6*(sqrt(76) + 2 + sqrt(76))*-5. -132*sqrt(19) + 25 Simplify ((sqrt(1872) + -1)**2 + (sqrt(208) + sqrt(208) + -3)**2)*-6 + 3. -16281 + 432*sqrt(13) Simplify (sqrt(1782)*-4)/(sqrt(704)*-3) + -5. -5 + 3*sqrt(2)/2 Simplify (4*sqrt(152)*1)/sqrt(8) - (-1*sqrt(3800))/sqrt(2). 14*sqrt(19) Simplify -1*(sqrt(3388) + sqrt(3388) + sqrt(3388)*-2 + sqrt(3388))/(sqrt(100) + sqrt(100) + sqrt(100)*-2 + sqrt(100)). -11*sqrt(7)/5 Simplify ((5*(sqrt(2) - (sqrt(2) + -1)*-6)*2 + 1)*-6)**2. -297360*sqrt(2) + 478116 Simplify (-4*(sqrt(648) - (-5 + sqrt(648)*-4 - sqrt(648))))**2. 17280*sqrt(2) + 373648 Simplify ((sqrt(88) + 1*sqrt(88)*2)*1)/(sqrt(1152) + sqrt(1152)*1*3). sqrt(11)/16 Simplify ((sqrt(252)*-2*6)/sqrt(12))/(sqrt(21)/(-1*-2*sqrt(3))). -24*sqrt(3) Simplify (sqrt(539) + -2)**2*6 - (((sqrt(396)*2)**2 - sqrt(11)) + -1). -167*sqrt(11) + 1675 Simplify 4 + sqrt(143)/sqrt(11)*-4 - sqrt(91)/(5*sqrt(448)). -161*sqrt(13)/40 + 4 Simplify 0 + -1 + (sqrt(1000) - (sqrt(1000)*1 - sqrt(1000) - sqrt(1000)))/(1*sqrt(1152)) + -4. -5 + 5*sqrt(5)/6 Simplify 2 + (-3 + -2 + sqrt(2057) + sqrt(2057))**2 + (4 + -5 + (-1 + sqrt(1088) - sqrt(1088)))**2. -220*sqrt(17) + 8259 Simplify 2*(((sqrt(363) - sqrt(363)*1) + 1)**2 + -1). 0 Simplify 6*((sqrt(1216)*-1 - sqrt(1216) - sqrt(1216)) + -3)**2*6. 5184*sqrt(19) + 394308 Simplify 4*(sqrt(45) + -1 + 1 - (sqrt(360)*4 - sqrt(40))/sqrt(8)). -32*sqrt(5) Simplify (sqrt(180)/(sqrt(20)/(sqrt(2)*1) + sqrt(10) + sqrt(10) + sqrt(10)))**2 + ((sqrt(50)*1)**2 - (5 + (sqrt(2)*-1 - sqrt(2)))). 2*sqrt(2) + 369/8 Simplify (sqrt(1700) - ((2*sqrt(1700) + 5)**2 - sqrt(1700) - sqrt(1700))) + 4 - (sqrt(17) + sqrt(51)/sqrt(3)*5 + -3)**2*3. -8684 - 62*sqrt(17) Simplify (-2*sqrt(68)*-6 - sqrt(68)*-1*-4)/(((sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288))) + sqrt(288))/sqrt(8)). -4*sqrt(17)/3 Simplify ((sqrt(187) + (sqrt(187) - (sqrt(187) + sqrt(187) + -5*sqrt(187) + sqrt(187))))*2)/((3*sqrt(132))/sqrt(12) - sqrt(11)). 4*sqrt(17) Simplify -3 + 1*(sqrt(396) + (-6*sqrt(396))**2*-1 + sqrt(396)) + -5. -14264 + 12*sqrt(11) Simplify -2 + ((sqrt(85) - sqrt(85)*2)*-3 - sqrt(85))/(sqrt(5) - (sqrt(245) + -1*sqrt(245) - sqrt(245))). -2 + sqrt(17)/4 Simplify ((sqrt(119) - sqrt(119)*-1*6)*4)/((2*sqrt(7) - sqrt(7))*6*4). 7*sqrt(17)/6 Simplify -3 + -2 + (sqrt(468)*-1)**2 + sqrt(52) + 4. 2*sqrt(13) + 467 Simplify (-1*(-3 + sqrt(272) + sqrt(272)*-3 + sqrt(272) + -5))**2*1. 64*sqrt(17) + 336 Simplify ((-1*sqrt(168))/sqrt(6))/sqrt(4) + ((sqrt(175) + 1)*-1)**2. 9*sqrt(7) + 176 Simplify (sqrt(240)*1*2)/(-6*(sqrt(48) - sqrt(12))) + 0. -2*sqrt(5)/3 Simplify -5*((sqrt(1377) + 1)*1)**2 + 3. -6887 - 90*sqrt(17) Simplify (((sqrt(135)*-1 + sqrt(135))*-2)/sqrt(9))/(sqrt(405)*-2*1). 0 Simplify ((sqrt(5929)*-2 + sqrt(5929))/(2*sqrt(112) - sqrt(112)))**2 + -5. 767/16 Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) + 0)*4) + sqrt(68) - (sqrt(68) + -1 + -5))*-1)**2*-4. -1232 + 192*sqrt(17) Simplify (sqrt(117) + 1*sqrt(117)*-1 + 2 + 0 + -4*(1 + sqrt(117)))**2 + -3. 48*sqrt(13) + 1873 Simplify (sqrt(330)/sqrt(40) + sqrt(297)*1)/((1*sqrt(192) + sqrt(3))*6). 7*sqrt(11)/108 Simplify (-4*sqrt(175)*3*-4 + -5)**2. -2400*sqrt(7) + 403225 Simplify ((-5*(-3*((sqrt(77) - 2*sqrt(77) - sqrt(77)) + sqrt(77)) - sqrt(77)))/(sqrt(66)/(2*sqrt(384) + sqrt(384))))**2. 403200 Simplify 3 + 4 + sqrt(1008)*-2 + -4 + sqrt(1008) + 1*(-1 + sqrt(1008)). 2 Simplify 3*(-4 + sqrt(5) + 3 + 0 + 5)**2. 24*sqrt(5) + 63 Simplify (-1*((sqrt(5) - (sqrt(5) - sqrt(35)/(sqrt(7) + sqrt(49)/sqrt(7))) - (sqrt(30)/(3*sqrt(6)) + sqrt(5) - sqrt(5))) + 5))**2. 5*sqrt(5)/3 + 905/36 Simplify (((sqrt(539) - (sqrt(539) + -1))*6 - (-5 + (sqrt(539) - (sqrt(539) + (1 + sqrt(539) - sqrt(539)))) + sqrt(539)))*-1 + -5)**2. -238*sqrt(11) + 828 Simplify -6*(sqrt(19) + (sqrt(2736) + -2)**2 - 4*(1 + sqrt(19)))*6. -98496 + 1836*sqrt(19) Simplify (sqrt(19) + (sqrt(95)/sqrt(5))**2 + 2 - (sqrt(19) + 1 + sqrt(76)/sqrt(4))) + -5 + 2. -sqrt(19) + 17 Simplify (-5*-1*sqrt(102) + (sqrt(102)*1 + sqrt(102))*6)/(sqrt(294) - (sqrt(294)*1*5 + sqrt(294)) - sqrt(294)). -17*sqrt(
{ "pile_set_name": "DM Mathematics" }
-353513260 rounded to the nearest one million? -354000000 Round -36710000 to the nearest one hundred thousand. -36700000 Round -0.0612422 to four decimal places. -0.0612 What is 0.04423191 rounded to 2 dps? 0.04 Round 77871226 to the nearest 10000. 77870000 Round -0.000387279 to 6 decimal places. -0.000387 Round 5156295 to the nearest 1000000. 5000000 What is 0.01745155 rounded to 4 dps? 0.0175 Round 174.08947 to the nearest ten. 170 Round 0.721893 to 1 decimal place. 0.7 Round 124.10413 to one dp. 124.1 What is 29615.1 rounded to the nearest one hundred? 29600 Round 0.00000022576 to 7 dps. 0.0000002 Round -1555263.91 to the nearest 1000. -1555000 Round -0.00002490228 to six dps. -0.000025 What is 0.0180414 rounded to 3 decimal places? 0.018 Round 97935900 to the nearest one hundred thousand. 97900000 Round 197028 to the nearest one hundred thousand. 200000 What is 290.07704 rounded to the nearest 10? 290 Round 2584284.7 to the nearest 100000. 2600000 Round 359.9358 to the nearest ten. 360 Round 0.000001540058 to 7 dps. 0.0000015 What is -0.00004106529 rounded to seven decimal places? -0.0000411 Round -0.02874159 to 5 decimal places. -0.02874 What is 0.0000939681 rounded to 3 dps? 0 Round 0.025972288 to four dps. 0.026 Round 576223.4 to the nearest 1000. 576000 What is 1157757.4 rounded to the nearest one hundred thousand? 1200000 Round -0.1205932 to 2 dps. -0.12 What is -57.3669 rounded to 1 dp? -57.4 What is -4602.57 rounded to the nearest one thousand? -5000 What is -114.832 rounded to the nearest integer? -115 What is 2.774583 rounded to 2 decimal places? 2.77 Round 48788400 to the nearest one hundred thousand. 48800000 Round -7994.18 to the nearest one hundred. -8000 Round 308848.3 to the nearest 100. 308800 Round -97.9865 to zero dps. -98 What is 0.17678552 rounded to 2 decimal places? 0.18 Round 1658.587 to the nearest 100. 1700 What is -72615.33 rounded to the nearest ten thousand? -70000 Round 1.96963 to 1 decimal place. 2 What is -0.6196386 rounded to two decimal places? -0.62 Round -237940300 to the nearest one million. -238000000 Round -0.8083572 to four dps. -0.8084 Round 0.0000003659116 to seven dps. 0.0000004 What is 181524280 rounded to the nearest 100000? 181500000 Round -18827.78 to the nearest 10. -18830 Round -0.03782711 to 2 dps. -0.04 Round -0.000704438 to four decimal places. -0.0007 Round 0.000091731 to 6 dps. 0.000092 Round 0.000410242 to 5 decimal places. 0.00041 What is 3138.54 rounded to the nearest ten? 3140 Round -9207.3 to the nearest one thousand. -9000 What is 0.0028325 rounded to 5 decimal places? 0.00283 What is 33080.03 rounded to the nearest 10? 33080 Round -0.217518 to 2 dps. -0.22 What is -0.00004016 rounded to 6 dps? -0.00004 Round -0.00496 to zero dps. 0 Round -28849.68 to the nearest one hundred. -28800 Round -8922140 to the nearest 1000000. -9000000 What is -0.0032919755 rounded to 4 dps? -0.0033 Round 137.93321 to the nearest integer. 138 Round -0.002104799 to four decimal places. -0.0021 Round 25477190 to the nearest 100000. 25500000 Round 140161400 to the nearest one hundred thousand. 140200000 What is -128137700 rounded to the nearest one hundred thousand? -128100000 Round 1.612569 to one decimal place. 1.6 What is -24876020 rounded to the nearest one million? -25000000 What is 4585875 rounded to the nearest one hundred thousand? 4600000 What is -8.913504 rounded to 1 decimal place? -8.9 What is 0.000011955192 rounded to 6 decimal places? 0.000012 Round -14.61329 to 2 decimal places. -14.61 What is 110.795 rounded to 0 decimal places? 111 Round 89933380 to the nearest 1000000. 90000000 Round 0.000005360685 to 6 decimal places. 0.000005 What is 56518.26 rounded to the nearest 100? 56500 Round -1671.3 to 0 dps. -1671 Round -131.9934 to the nearest integer. -132 What is 1335580 rounded to the nearest ten thousand? 1340000 What is 7133.5649 rounded to the nearest one hundred? 7100 Round 0.0001413573 to five dps. 0.00014 Round 543656 to the nearest one hundred thousand. 500000 What is 1869.2 rounded to the nearest 10? 1870 Round -1213.3951 to one decimal place. -1213.4 Round 5.73537 to the nearest ten. 10 Round -18.5315 to the nearest integer. -19 What is 0.000000064577 rounded to 7 decimal places? 0.0000001 What is 7996047.6 rounded to the nearest 1000? 7996000 What is 157243.81 rounded to the nearest 100? 157200 What is 0.000030691222 rounded to seven dps? 0.0000307 What is 0.08053581 rounded to five dps? 0.08054 Round 3557325 to the nearest 1000000. 4000000 Round -0.0841774 to 4 dps. -0.0842 Round 0.000256594 to 5 dps. 0.00026 Round 1050.9466 to the nearest 10. 1050 Round -0.0000449263 to 5 dps. -0.00004 What is 0.8123938 rounded to 1 dp? 0.8 Round -0.002692158 to six decimal places. -0.002692 What is -0.000000150637 rounded to seven dps? -0.0000002 Round 0.0086453652 to 6 dps. 0.008645 Round -29909810 to the nearest one hundred thousand. -29900000 What is -0.00074646 rounded to five decimal places? -0.00075 What is 0.0000004986015 rounded to seven dps? 0.0000005 What is -1040670000 rounded to the nearest one million? -1041000000 Round 0.000036957696 to five dps. 0.00004 Round -0.00560601 to five dps. -0.00561 What is -575.37993 rounded to the nearest 10? -580 What is 0.1562898 rounded to 4 dps? 0.1563 What is 983.328 rounded to the nearest one hundred? 1000 What is 13.090843 rounded to the nearest integer? 13 What is -1.373211 rounded to the nearest integer? -1 Round -0.783297 to 1 dp. -0.8 What is -809.1312 rounded to the nearest 100? -800 What is 0.0000220101 rounded to seven dps? 0.000022 Round 0.00121503 to 2 dps. 0 What is 5042.47 rounded to the nearest one hundred? 5000 What is -1537.0309 rounded to the nearest 10? -1540 Round -734.6 to the nearest 100. -700 Round 0.0015223 to 4 dps. 0.0015 What is -2319381 rounded to the nearest one thousand? -2319000 Round -0.0016908019 to 5 decimal places. -0.00169 Round 4.5575948 to three decimal places. 4.558 What is 366.389 rounded to the nearest one hundred? 400 What is -0.02242991 rounded to 3 dps? -0.022 What is -0.0000435704 rounded to six decimal places? -0.000044 Round -0.00004123008 to six decimal places. -0.000041 What is -15086754000 rounded to the nearest 1000000? -15087000000 What is 0.1593831 rounded to 2 dps? 0.16 What is -943.78 rounded to the nearest ten? -940 Round -0.000221185 to 5 decimal places. -0.00022 Round -8.55725 to two dps. -8.56 What is 286930.55 rounded to the nearest one thousand? 287000 Round -0.0000189779 to 6 decimal places. -0.000019 Round 0.0000359598 to seven decimal places. 0.000036 What is -0.03270312 rounded to 3 dps? -0.033 What is -2.319799 rounded to 3 decimal places? -2.32 What is -4779330 rounded to the nearest one hundred thousand? -4800000 Round -12.36153 to two decimal places. -12.36 Round -1722.265 to the nearest integer. -1722 Round -228.0607 to zero dps. -228 What is 0.000481755 rounded to five dps? 0.00048 What is -0.000004614504 rounded to 6 dps? -0.000005 What is -11120.77 rounded to the nearest 100000? 0 Round 0.0000005454595 to 7 decimal places. 0.0000005 Round 372.2969 to 1 dp. 372.3 What is 0.0000054588 rounded to 6 decimal places? 0.000005 Round 1303697 to the nearest one hundred thousand. 1300000 What is 0.622188 rounded to 3 decimal places? 0.622 Round 38992483 to the nearest 100000. 39000000 Round 0.000071925054 to five decimal places. 0.00007 What is 2568203500 rounded to the nearest 1000000? 2568000000 What is 57667900 rounded to the nearest one hundred thousand? 57700000 Round 0.05283386 to 5 dps. 0.05283 Round -0.184355 to 1 dp. -0.2 What is -0.00997491 rounded to three dps? -0.01 Round 0.00028342621 to seven decimal places. 0.0002834 Round -0.000810014 to 4 decimal places. -0.0008 What is -176892.6 rounded to the nearest ten thousand? -180000 Round -6495883.7 to the nearest 100000. -6500000 Round -1.949673 to 2 dps. -1.95 Round 0.0000303052 to six decimal places. 0.00003 What is -28614.07 rounded to the nearest one hundred thousand? 0 Round -34123030 to the nearest 100000. -34100000 Round 0.000679147 to 6 dps. 0.000679 Round 104.03554 to the nearest integer. 104 What is -169177000 rounded to the nearest one million? -169000000 Round -931.649 to the nearest one hundred. -900 Round -13
{ "pile_set_name": "DM Mathematics" }
ve l. 5648 Express -1266*x + 2 + 3304*x + 1108*x as v + g*x and give v. 2 Express 8*m + m**2 - m**2 + 2*m**2 + (-3*m - 3*m + 2*m)*(-4*m - m - 2*m) as v + s*m**2 + y*m and give s. 30 Express 2*g**2 + 0*g**2 + 0*g**2 + (-3*g**2 + 8*g - 8*g)*(-121 - 256 - 273) in the form s*g + j*g**2 + k and give k. 0 Express 4724*m**2 + 53*m**4 + 171 - m**3 - 169 - 4731*m**2 as a*m**4 + k*m + i*m**2 + d*m**3 + u and give d. -1 Rearrange 925*z + 111*z + 194*z + 42*z - 118*z to the form a*z + f and give a. 1154 Rearrange 2*d + 503 - 2530*d**3 + d**4 + 4889*d**3 - 2361*d**3 + d**2 to the form s*d**2 + k + c*d + z*d**3 + m*d**4 and give k. 503 Express -113*a + 9 - 5 - 4*a**3 + 3*a + 5*a**3 - 48*a as b*a**3 + s*a**2 + p*a + j and give b. 1 Rearrange -5*l - 11 + 4 + 0 + (-40 + 15 + 22)*(l - l - 2*l) to the form g + p*l and give g. -7 Rearrange -359*i - 9*i**3 + 117*i + 76*i**2 - 2 + 126*i + 115*i to the form h*i**3 + b*i**2 + v + z*i and give h. -9 Rearrange (-187*g - 192*g + 332*g)*(-11*g - 26*g + 17*g) + 0 - g**2 + 0 to the form k*g + r + i*g**2 and give r. 0 Rearrange 2813*y**2 - 2808*y**2 + y - 4*y**4 - 1 - 4*y**4 + 2*y**3 to the form j*y**2 + i + s*y**3 + r*y + m*y**4 and give m. -8 Express -254*v + 78*v + 2 - 244*v - 4 - 174*v as d*v + c and give d. -594 Express 3 + 3*t - 7 - 392846*t**2 - 1 - t + 392972*t**2 as u*t**2 + m + p*t and give u. 126 Express (-13*q - 104*q - 32*q)*(-6*q**3 + 3*q**3 + 10*q**3) + q**4 + 2*q**4 - q**4 as w*q**3 + y + f*q + k*q**2 + x*q**4 and give x. -1041 Express 800*z + 353*z - z**3 + 12*z**2 - 2*z**2 + 1003*z - 12*z**2 in the form b*z**2 + q*z + h + l*z**3 and give l. -1 Express 73735 - r - 34862 - 30917 in the form z*r + s and give s. 7956 Express -130*n**3 + 2*n**4 + 542*n - n**2 + 0*n**2 + 130*n**3 as k*n**4 + z*n**3 + t*n + p + o*n**2 and give k. 2 Rearrange (-6621 + 6621 + 32*m)*(3*m**3 + 0*m**3 - 2*m**3) - 17*m**4 + 2*m + 14*m**4 - 4*m to j*m**4 + g*m**3 + l*m + b + k*m**2 and give l. -2 Express -219*t**3 - 2 + 8 - 7*t**3 - 3*t**2 + 2*t**4 - 4 as c*t**4 + b*t**3 + l*t**2 + p + k*t and give c. 2 Rearrange ((1 + 0 - 2)*(4 - 4 + 2) + 1 + 2 + 5)*(7 - 7 + 5*n)*(2*n**2 + 3*n - 3*n) to the form d + t*n**2 + p*n**3 + b*n and give p. 60 Express ((-309 - 245 + 332)*(0*b + b + b) - 2*b + 2*b - b + 2*b + 3*b - 3*b)*(b - b + 11*b) in the form y*b**2 + f + g*b and give y. -4873 Rearrange 36 - h - 2*h**2 - 37 - 42 - 25 to v*h + j + s*h**2 and give j. -68 Rearrange (-48396 - 42940 - 65791 + 35158 - 56962)*(c**2 - c**2 + c**2) to j*c**2 + n*c + w and give w. 0 Rearrange 755*t - 8 + 8 - 5564*t - 426*t to c*t + l and give c. -5235 Express (0 - 1 + 3)*(-1030 - 1281*l + 2108 - 1079) in the form c*l + v and give v. -2 Rearrange -d + 615 - 480 + 10*d**2 - 501 + d to c*d**2 + b*d + f and give f. -366 Express -2385*k**2 - 2370*k**2 + 972*k**2 - 264*k**2 in the form r*k + q + u*k**2 and give u. -4047 Rearrange 168 + 740*r + 180 + 1084*r + 188 - 537 to the form o + f*r and give f. 1824 Rearrange 6*k**2 + 6*k**2 + k**2 + (6*k + 8*k + 21*k)*(-3*k + 1 - 1) to the form s*k**2 + t + f*k and give s. -92 Express (-10662 + 10662 + 47*w)*(-w**2 + 3*w**2 - 3*w**2) - 7*w**3 - 6*w**3 - 6*w**3 as s*w**3 + b*w**2 + p*w + t and give s. -66 Express (-31*b**2 + 14*b**2 + 9*b**2)*(-6 + 9853*b**2 - 4945*b**2 - 4950*b**2) in the form n*b + r + h*b**4 + v*b**2 + w*b**3 and give r. 0 Express (2*k - 16*k - 78*k)*(-2 + 1 + 7)*(-k**3 + 14*k - 13*k - 5*k**2 + 4*k**2) as d*k**3 + y + s*k + o*k**2 + l*k**4 and give d. 552 Rearrange (23*n - 216*n - 12 + 468*n)*((2 - 2 - n**2)*(2 + 0 + 1) + 4*n - n - 2*n + 2*n**2) to the form o*n**2 + l*n**3 + j*n + r and give j. -12 Express 10*x**4 - 20*x**4 + 6*x**2 + x**4 + 63*x**3 + 8*x**4 + 2*x as b*x**3 + t*x + i*x**2 + d*x**4 + q and give b. 63 Rearrange -1490*o**3 + 3559*o**3 + 7239*o**3 + (0*o + 2*o + 0*o)*(3*o**2 + 4*o**2 - 5*o**2) - o - o**3 + o to the form m + c*o**3 + i*o + p*o**2 and give p. 0 Express 1 + 315*a - 204815*a**3 - 204815*a**3 + 409631*a**3 + 4*a**2 in the form c*a + h*a**2 + f + y*a**3 and give f. 1 Express (-4*p + 3*p + 12*p)*((2 - 4 - 2)*(14*p + 11*p - 12*p) + (-3 - 4 + 4)*(-3*p - 2*p + 6*p)) in the form f + u*p**2 + w*p and give u. -605 Rearrange (-2 - 1 + 4)*(0*p - p - 2*p) - p - 2*p + 2*p + (-24*p - 101*p - 33*p)*(0 - 2 - 1) to the form y + n*p and give n. 470 Rearrange (-85*w - 57*w - 29*w)*(0 - 3 + 2)*(48*w - 53*w + 44*w - 2*w**3) to the form u + b*w + y*w**2 + v*w**3 + n*w**4 and give y. 6669 Express -3*x - 179*x**2 + 4*x - 39244 - 96*x**2 + 39234 in the form y*x + v*x**2 + w and give y. 1 Rearrange (4*o - o**3 - 4*o - 14 - 3*o**3 + 14 + (79*o - 64 + 64)*(-3 + o**2 + 3))*(o + 3*o - o) to n*o + c + a*o**2 + p*o**3 + x*o**4 and give x. 225 Rearrange (-l + 2 + 3*l - 4*l)*(-3*l + 4*l + 0*l)*(5 - 5 - 1)*(-2179 - 6559 - 4210) to v*l**2 + s + x*l and give x. 25896 Rearrange (-131 + 48*a + 131)*(7*a - a + 12*a) - 4*a**2 + 0*a**2 + 2*a**2 to the form s*a**2 + r*a + v and give s. 862 Express -6*v**4 - 8*v**4 + 4*v**4 + (-v**3 + 4 - 4)*(-662 - 3*v + 685 - 15*v) in the form c*v**4 + k*v + b*v**2 + i*v**3 + q and give c. 8 Express ((0*x + x + x)*(-3 - 1 + 5) + 0*x + 0*x - 3*x)*(-x**2 - 116 + 120 - 7*x**2) + 4*x**3 + 0*x**3 - 5*x**3 in the form d + g*x + j*x**3 + y*x**2 and give j. 7 Rearrange -7557577*m + 7557577*m + 928*m**2 to h*m + p + z*m**2 and give z. 928 Express (-2 - 2*p + 2)*(24028*p**2 - 36422 + 36422) in the form h*p**2 + c*p + a*p**3 + b and give a. -48056 Express 733*u**3 + 0 + 1 + 4*u**4 - 849*u**3 + 8*u - 2*u**4 in the form k*u + v*u**4 + q + b*u**3 + h*u**2 and give q. 1 Express -168*k**3 + 1 - 17*k + 25*k + 149*k**3 - 2 in the form i*k**3 + r*k**2 + u + o*k and give u. -1 Rearrange -136 - 3347*r - 7175*r + 136 to t + c*r and give c. -10522 Express -537*m - 517*m - 2017*m in the form x*m + p and give p. 0 Rearrange -17*c**2 + 8 - c - 14*c**2 - 21*c**2 + 6 + 35*c**2 to the form t*c**2 + b + r*c and give b. 14 Express -h - 2417 + 620 + 987 as s + l*h and give l. -1 Rearrange 50*i**2 + 554*i**2 + 216*i**2 to c*i + w*i**2 + d and give w. 820 Rearrange -d - 2*d - 26938 + 26953 - 7*d**2 + d**3 to the form y*d + v*d**3 + x + b*d**2 and give y. -3 Express t**3 - 1413*t - 30*t**2 + 0 - 1 + 1412*t in the form a*t**3 + r + f*t**2 + g*t and give f. -30 Rearrange (5 - 2 - 2 + (135 + 268 - 142)*(0 + 1 - 2))*(1 + 2 - 7)*(-2*p + 3*p - 2*p) to h*p + b and give h. -1040 Rearrange (-879*u - 2123*u - 160*u)*(-u + u + 2*u) + 4*u**2 + u - 4*u**2 + 4*u**2 to the form c*u**2 + p*u + d and give c. -6320 Rearrange (377 - 23*m**2 - 4*m - 377)*(5*m + 30 - m + 5*m**2 - 29) to the form b + g*m**2 + v*m**3 + s*m + u*m**4 and give u. -115 Express -1144*s - 1023*s + 2167*s + 12758*s**2 in the form w*s + z*s**2 + c and give z. 12758 Express -4*j**3 - 40*j + 4976*j**2 + 19*j - 467*j**2 + 5*j**3 + 22*j in the form z*j + p*j**2 + q + t*j**3 and give z. 1 Rearrange -4*k**3 - 16513*k - 58*k**4 + 16501*k + 13*k**4 to the form q*k**4 + x + i*k**3 + c*k + d*k**2 and give i. -4 Rearrange -7*k**4 + 241*k - 2*k**3 - 239*k + 3*k**4 - 2*k**2 + 1 to i*k**4 + v + s*k**2 + a*k + p*k**3 and give i. -4 Express -76*l**2 + 0 + 39*l**2 + 0 + 140*l - 228*l in the form a*l**2 + b + w*l and give w. -88 Express -2100 + 2*n - 315 - 1744 - 542 - n**2 + 3*n**2 as q*n**2 + o + p*n and give p. 2 Rearrange (-3 + 1 + 4 - 6*q)*(40 - 40 + 3*q) + 3 - 80*q + 80*q - 2*q**2 to h + p*q**2 + k*q and give p. -20 Express (62*o - 30*o - 24*o + 9)*(-2*o - 2*o + 8*o)*(5*o + 0*o + o) as m + s*o + d*o**2 + f*o**3 and give m. 0 Express (25*f + 6*f + 15*f)*(4*f**3 - 2*f**3 - f**3) - 115 + 71*f**4 + 115 as d*f + y*f**2 + a*f**3 + t + g*f**4 and give g. 117 Rearrange 67*x**2 + 0*x + 46*x**2 + 246*x**2 - x to i*x + q + y*x**2 and give i. -1 Express -2*d**2 - 33*d + 34 - 85 + 48 in the form n + g*d**2 + s*d and give s. -33 Rearrange -4*r + 2*r + 0 + 2 + (2*r - 2*r - 4*r)*(184 + 30 + 310 - 32) to d + i*r and give d. 2 Express (-288 + 312 + 2271)*(-3*a**2 + a**2 + 14*a**2)*(0 - 3 + 4) in the form o*a**2 + r + v*a and give o. 27540 Express (-1 - 4 + 3)*(-2*i + i + 0*i)*(946 + 2780 + 3342) in the form p + j*i and give j. 14136 Express 74*l + 47*l**3 + l**4 + 70*l - 212*l + 2 + 69*l - 5*l**3 - 2*l**2 in the form h + w*l**4 + z*l + b*l**2 + i*l**3 and give w. 1 Rearrange r**2 + 4*r**2 + 4*r**2 + (-4
{ "pile_set_name": "DM Mathematics" }
)*(b + 2)/3 Let c(f) = -f**2 - 3*f + 1. Let g(k) = -k**3 + 44*k**2 - 167*k + 103. Let q(y) = 35*c(y) - 5*g(y). Factor q(d). 5*(d - 48)*(d - 2)*(d - 1) Solve -1/2*i**2 - 1/4*i**3 + 0*i + 0 = 0 for i. -2, 0 Let o(y) be the third derivative of y**6/660 - 7*y**5/330 + 4*y**4/33 - 4*y**3/11 + 322*y**2. Determine h, given that o(h) = 0. 2, 3 Let n = -1316 + 1321. Let z(g) be the second derivative of 0 + 0*g**3 - 1/27*g**4 + 0*g**2 - 1/135*g**6 + 7*g + 1/30*g**n. Solve z(u) = 0. 0, 1, 2 Let j(z) = -z**3 + 6*z**2 + 8*z - 20. Let m be j(6). Solve 6*q**3 - 70*q**3 + m*q**2 + 5*q**4 + 4*q**3 + 27*q**2 = 0 for q. 0, 1, 11 Factor -4052*k + 6157014 + 2/3*k**2. 2*(k - 3039)**2/3 Let u be -15 - (335265/(-720))/31. Let b(v) be the second derivative of -u*v**4 + 0 + 1/8*v**3 - 1/4*v**2 + 16*v. Find o, given that b(o) = 0. 1, 2 Let m(a) = a**3 + 113*a**2 + 2825*a + 988. Let h be m(-76). Solve h + 2/5*q**5 + 2/5*q**4 - 2/5*q**3 - 2/5*q**2 + 0*q = 0 for q. -1, 0, 1 Suppose 84*y - 133 - 166 + 47 = 0. Let n(k) be the third derivative of 0*k**y + 0*k - 1/12*k**4 - 1/15*k**5 + 1/48*k**6 + 0 + 9*k**2. Solve n(v) = 0. -2/5, 0, 2 Let c(z) be the second derivative of -z**7/231 + 9*z**5/110 - 2*z**4/33 - 4*z**3/11 + 144*z - 2. Solve c(r) = 0 for r. -3, -1, 0, 2 Suppose 14 = 3*y - 4*w + 2*w, 2*w + 4 = -2*y. Suppose -5*c - 4*z = -10, -5*c + y*z + 10 = z. Find a such that 8*a + 4*a**c - 759 + 759 = 0. -2, 0 Solve 1/3*r**5 - 19/6*r**3 + r**2 + 0 + 1/2*r**4 + 4/3*r = 0 for r. -4, -1/2, 0, 1, 2 Suppose -13*p + 80 - 15 = 0. Let w(t) be the first derivative of 10*t**4 - 3*t**p + t**3 - 4 + 3*t**3 - 2*t**5 - 9*t**3. Determine k, given that w(k) = 0. 0, 3/5, 1 Let g = -318449 - -3502953/11. Find p such that 0 - 10/11*p**5 - 14/11*p**2 + 4/11*p + g*p**4 + 6/11*p**3 = 0. -1, 0, 2/5, 1 Let t = 3443 - 44757/13. Let q be 1/(-2) + (-170)/(-260). Factor t*p**3 + q*p**2 - 10/13*p + 6/13. 2*(p - 1)**2*(p + 3)/13 Let i be 8289/(-90)*(-5)/90. Let y = -9/20 + i. Factor -8/3*h**2 + y*h**3 - 4/3*h**4 - 2/3*h**5 + 0*h + 0. -2*h**2*(h - 1)**2*(h + 4)/3 Factor 360/17 - 4/17*a**2 + 234/17*a. -2*(a - 60)*(2*a + 3)/17 Factor -19/2*g**3 + 0 + 9*g + 1/2*g**2. -g*(g - 1)*(19*g + 18)/2 Let a(h) be the third derivative of h**7/126 + 17*h**6/45 - 14*h**5/15 - 55*h**4/8 + 8*h**2. Let k(c) be the second derivative of a(c). Factor k(i). 4*(i + 14)*(5*i - 2) Let a be 8/(-14) + (-15776)/(-119). Let b = -123 + a. Factor 12 + b*o + 3/2*o**2. 3*(o + 2)*(o + 4)/2 Let n(b) = 3*b + 92. Let x be n(48). Let i = 241 - x. Factor 0 - 4/11*a**4 + 0*a**3 - 2/11*a**i + 2/11*a + 4/11*a**2. -2*a*(a - 1)*(a + 1)**3/11 Let j be 17/5 + (-2)/5 + -7. Let c(s) = -s**2 - 39*s + 40. Let r(m) = -40*m + 40. Let z(l) = j*r(l) + 5*c(l). Find t such that z(t) = 0. -8, 1 Let h(y) = -y**2 + 25*y + 74. Let s be h(38). Let t be s/(-180)*(-9)/(-42). Factor 27/2 - 9*d**2 + 4*d**3 - t*d**4 + 0*d. -(d - 3)**3*(d + 1)/2 Suppose 2*c - 2*k - 13 = c, -5*k = -5*c + 45. Let d = 9 + -5. Factor -c + 1 + d*y**2 - 339*y + 339*y. 4*(y - 1)*(y + 1) Suppose 51 = 4*x + 35. Solve -462*v**2 + 2*v**3 + 461*v**2 - 2*v + 2*v**3 - v**5 - v**3 + v**x = 0. -1, 0, 1, 2 Suppose 15*w + 23 = 83. Factor -23*j**3 + 13*j**3 - 2*j**w + j**5 + 7*j**3. j**3*(j - 3)*(j + 1) Suppose 32/17*l**2 - 1264/17*l + 12482/17 = 0. What is l? 79/4 Let z(r) = r**2 + r + 6. Let s(f) = f**4 + 3*f**3 - 4*f**2 - 14*f - 20. Let c(n) = -s(n) - 2*z(n). Factor c(d). -(d - 2)*(d + 1)*(d + 2)**2 Let r = -12777 + 12782. Let q(t) be the second derivative of 0*t**2 + 0 - 1/10*t**r + 1/30*t**6 + 0*t**3 + 10*t + 1/12*t**4. Find x such that q(x) = 0. 0, 1 Let s(d) be the first derivative of -29 + 13/14*d**2 - 22/7*d - 1/21*d**3. Factor s(f). -(f - 11)*(f - 2)/7 Let a(p) be the third derivative of p**5/300 + 751*p**4/20 + 1692003*p**3/10 + 16*p**2 - 18*p. Factor a(o). (o + 2253)**2/5 Let k(h) = -8*h**2 + 141*h - 270. Let o(g) = 3*g**2 - 70*g + 136. Let l(p) = -2*k(p) - 5*o(p). Let l(x) = 0. What is x? -70, 2 Let r be -16 - 32/(-36) - -18. Let k = -962/153 - -122/17. Factor -k - 4/3*n**3 - r*n**2 - 2/9*n**4 - 8/3*n. -2*(n + 1)**2*(n + 2)**2/9 Let a(k) be the second derivative of 25*k**7/252 + 3*k**6/2 + 829*k**5/120 + 15*k**4/2 + 25*k**3/9 - 1511*k. Solve a(i) = 0. -5, -2/5, 0 Let z(i) be the third derivative of i**8/448 - i**7/40 + i**6/80 + 7*i**5/20 - 3*i**4/4 + 846*i**2. Determine g so that z(g) = 0. -2, 0, 1, 2, 6 Factor -6962/3 - 1/6*x**2 - 118/3*x. -(x + 118)**2/6 Determine f, given that -164*f**2 - 447 + 52*f**4 + 29 + 4*f**5 + 139*f**3 + 98 + 9*f**3 - 584*f = 0. -8, -5, -1, 2 Let l(w) be the second derivative of -w**8/1512 - 4*w**7/945 + w**6/108 + 171*w**2/2 + 173*w. Let k(b) be the first derivative of l(b). Solve k(u) = 0 for u. -5, 0, 1 Let s be 300/(-1500)*187/(-16) + (-1)/(-16). Factor 3/5*y**4 + 44/5*y + 26/5*y**3 + 11*y**2 + s. (y + 1)**2*(y + 6)*(3*y + 2)/5 Let a(k) be the first derivative of -8/9*k**2 + 4/27*k**3 + 0*k - 127. Factor a(n). 4*n*(n - 4)/9 Let c(h) be the first derivative of 1/42*h**4 - 2/9*h**3 - 211 + 0*h + 4/7*h**2. Factor c(m). 2*m*(m - 4)*(m - 3)/21 Let z(u) be the second derivative of -4/57*u**3 + 4 - 1/114*u**4 - 10*u + 0*u**2. Factor z(o). -2*o*(o + 4)/19 Let v(d) be the first derivative of d**6/900 + d**5/300 + d**3/3 + 35*d + 2. Let u(c) be the third derivative of v(c). Factor u(s). 2*s*(s + 1)/5 Suppose n - 22 = -4*l, -45 = -32*n - l + 532. Suppose n + 1/8*f**2 + 3*f = 0. Calculate f. -12 Let s be ((-252)/(-3654))/(-2*(-2)/116). Factor -32/13*r + 0 - 2/13*r**s. -2*r*(r + 16)/13 Factor 300 - 1/6*u**4 + 129/2*u**2 - 4*u**3 - 785/3*u. -(u - 5)**2*(u - 2)*(u + 36)/6 Suppose 941*f = 926*f + 45. Let b(j) = j**2 - 3*j - 7. Let v be b(5). Solve -107*n**2 - 3*n**f + 113*n**2 + 0*n**v - 3*n = 0 for n. 0, 1 Factor 2057*p**3 + 145863*p - 19108 + 6*p**4 - 10133 - 17097*p**2 + 37594*p**2 + 156658*p**2. (p + 1)*(p + 171)**2*(6*p - 1) Let m(q) be the second derivative of 27 + 8/3*q**4 + 4*q + 20*q**2 + 1/5*q**5 - 38/3*q**3. Factor m(l). 4*(l - 1)**2*(l + 10) Let z(j) be the third derivative of 108*j**2 + 37/108*j**4 - 4/3*j**3 + 0*j + 0 - 1/270*j**5. Factor z(w). -2*(w - 36)*(w - 1)/9 Let u(j) be the second derivative of 3/4*j**5 + 0*j**2 + 4 + 0*j**3 - 3*j - 1/4*j**4 - 2/5*j**6. Factor u(x). -3*x**2*(x - 1)*(4*x - 1) Let q be 2968/1908*3/(-49) + 0 + 4/42. Determine h so that 2/9*h**3 + q + 0*h + 8/9*h**2 = 0. -4, 0 Suppose 41/2*x**3 - 37/2*x**2 - 7/2*x**4 + 22 - 1/2*x**5 - 20*x = 0. What is x? -11, -1, 1, 2 Let q(j) be the first derivative of -j**6/15 - j**5 - 37*j**4/6 - 20*j**3 - 36*j**2 - 175*j + 130. Let b(d) be the first derivative of q(d). Factor b(n). -2*(n + 2)**2*(n + 3)**2 Let z = 2/753 + 2255/1506. Factor -z + 1/4*y**2 - 1/4*y. (y - 3)*(y + 2)/4 Let u be (-3 - (1 + -5))/(-2)*(-22 - -22). Let q(s) be the third derivative of 27*s**2 + 1/6*s**4 + u + 0*s - 5/3*s**3 - 1/150*s**5. Factor q(z). -2*(z - 5)**2/5 Let l(y) be the second derivative of y**7/14 - 41*y**6/5 + 7023*y**5/20 - 6765*y**4 + 54450*y**3 + 314*y + 3. Let l(c) = 0. What is c? 0, 11, 30 Let t be (34/(-10) - -5) + (-1804)/1230. Factor t*l**5 + 0 - 32/5*l**2 + 0*l - 32/15*l**4 + 104/15*l**3. 2*l**2*(l - 12)*(l - 2)**2/15 Suppose 1467/8 + 60*p - 3/8*p**2 = 0. What is p? -3, 163 Let g(w) = 30*w**2 - 65*w + 380. Let s(i) = i**2 + i - 1. Let z(t) = t**2 + t - 1. Let u(d) = -4*s(d) + 3*z(d). Let b(f) = g(f) + 25*u(f). Factor b(c). 5*(c - 9)**2 Let i(p) be the first derivative of p**5/40 - 31*p**4/12 + 154*p + 233. Let a(w) be the first derivative of i(w). Factor a(n). n**2*(n - 62)/2 Let m(o) = -14*o**2 + 20*o + 192. Let w(i) = -15*i**2 + 22*i + 184. Let y(d) = -5*m(d) + 6*w(d). Solve y(l) = 0 for l. -2, 18/5 Let n be ((658/63)/(-47) - 25/9)*(-12)/7. Suppose 6*p**2 + 0 - 6/7*p**3 - n*p = 0. Calculate p. 0, 1, 6 Let s(q) be the second derivative of 25/8*q**3 + 11/16*q**5 + 0 + 5/4*q**2 - 60*q + 5/2*q**4. Factor s(c). 5*(c + 1)**2*(11*c + 2)/4 Let y(s) be the second derivative of s**7/105 + s**6/5 + 59*s**5/50 + 97*s**4/30 + 24*s**3/5 + 4*s**2 - 1899*s. Suppose y(o) = 0. What is o? -10, -2, -1 Suppose 7*w - 659 + 540 = 0. Let x(b) be the second derivative of w*b + 25/4*b**2 + 0 + 5/6*b**3 + 1/24*b**4. Determine j, given that x(j) = 0. -5 Suppose -3*z + 15 = 0, -3*f - 37 = -z - 2. Let m be (10/2)/f*-24. Factor 12 + 4*x*
{ "pile_set_name": "DM Mathematics" }
+ -2)*(-1)/6. Let j = -0.06 - 0.34. What is the nearest to -2/5 in j, o, 4? j Let w = 40 - 39.6. What is the closest to -2/3 in w, -1, -2/5? -2/5 Let j = -1402/9 + 156. Let s = 3493367/100 + -34934. Let f = 2/25 + s. Which is the closest to f? (a) -5 (b) j (c) -0.4 c Let i(z) = -z**2 - 7*z + 2. Let m be i(-7). Let w be m*2*(-1)/10. What is the closest to w in -4, 3, 2? 2 Let a = -21 + 16. What is the closest to 0 in 4/3, -2/23, a? -2/23 Let t = 0.6 - 0.7. Which is the closest to t? (a) -5 (b) -2/5 (c) 2 b Let t = 3.9 - -0.1. Let v = -0.04 + -0.06. Let o = 0.2 - v. Which is the closest to 0? (a) 0 (b) t (c) o a Let w = 0.38 - -0.12. Let c(q) = q - 1. Let x be c(6). Suppose 0*s - 4*t = s - 8, x*t = 10. What is the closest to s in w, 0, 3? 0 Suppose 4*v = -3*j - 3, j - 1 = -4*v - 2. Let a be (-14)/3*(-3)/2. Suppose 3*p + n + 14 = a*p, 0 = 2*p + 5*n - 18. What is the nearest to v in p, 0.3, -2/5? 0.3 Let h = -0.061 + 3.561. Which is the closest to 0? (a) h (b) -0.2 (c) 0 c Let t = -59.5 - -60. Which is the closest to 0.1? (a) t (b) -4 (c) 7/2 a Let k = -2.6 + -1.4. Which is the closest to 1? (a) -0.2 (b) 2/7 (c) k b Let i(t) = 0*t - 3 - t + 5 + 6. Let k be i(5). Let z = 0.9 - 1. Which is the nearest to z? (a) 0.1 (b) 0.2 (c) k a Let n = -1.02 - 3.98. What is the nearest to 0.3 in 4, n, -0.1? -0.1 Let k = -4 - -4. Let f = 0.2 + k. Let u = f + -0.2. Which is the closest to 0.1? (a) u (b) -0.4 (c) 4 a Let v = 38 - 39. Let c = -0.3 + 0.2. Let l = -5 + 5.3. What is the nearest to v in c, 3, l? c Let j be -3*(2 + (-16)/6). What is the nearest to 2/7 in j, 3, 1? 1 Let q = -51 + 154/3. What is the nearest to q in 4, -0.2, 2/25? 2/25 Let f = -95 + 97. What is the nearest to 3 in f, 3/5, 1? f Let z = 0.5 + -3.5. Let u = -2 + z. Let n = -2 + 1. Which is the nearest to n? (a) -1/5 (b) 1/3 (c) u a Let v be ((-4)/(-10))/(-3 + 5). Let g be ((-3)/(-12))/((-3)/6). Which is the nearest to v? (a) 3 (b) g (c) -0.3 c Let g be 1/(-5)*3 + 1. Suppose -12 = t - 0*t. Let u be (-16)/(-42) + t/18. What is the closest to g in u, 0.5, 2? 0.5 Let s = -46.2 + 46. What is the closest to 3 in -5, s, 2/7? 2/7 Let d be 4 + -3 + 0 + 41. Let j be 117/d - (-2)/(-7). What is the nearest to 1 in -0.1, -1, j? -0.1 Let j = 376 + -373. Let n = 2 - 2. Which is the nearest to n? (a) 1/4 (b) -4 (c) j a Let j = -0.44 - -0.04. Let r = -0.1 + 0. Which is the nearest to r? (a) -5 (b) j (c) 0 c Let k = 4 + -3.85. Let y = k + 0.85. Which is the nearest to 1? (a) 2/17 (b) 0 (c) y c Let d(n) = -5 - 3 - 2*n - 1. Let r be d(-6). Suppose -4*h = 2*p + 18, 0 = 2*h - r*h - 4. Which is the nearest to p? (a) -2 (b) 0.5 (c) -2/7 c Let v = -1.5 - 2.5. Let t = 1 - 0.8. Let w = t + -0.6. What is the nearest to 1 in 0.5, w, v? 0.5 Let p = 3 - 2.8. Which is the closest to 0.1? (a) p (b) 2 (c) -1/5 a Let x(v) = -v**3 - 6*v**2 - 4*v. Let d be x(-5). Suppose -7 + 6 = -z. Let j = 2253/11 + -205. Which is the nearest to -0.1? (a) j (b) d (c) z a Let y = 36 + -35.9. Which is the closest to y? (a) -1/6 (b) -9 (c) 3 a Let u be (-2)/3 - (-32)/42. Let j = -2.7 - -2.8. What is the closest to 2 in u, j, 1/9? 1/9 Let j = -24 - -24.4. Which is the nearest to 0? (a) 0 (b) -2 (c) j a Let r = 21 - 24. Let j = r - -4. What is the nearest to 0 in j, 3, -1/3? -1/3 Let f = 46 - 30. Which is the closest to 2/7? (a) f (b) -4 (c) -2/9 c Let q = -5 - -8. Let k = -76 - -73. Let y = k + q. Which is the closest to 0? (a) -1/3 (b) y (c) -2/5 b Let t = -1/26 - 29/598. Which is the nearest to 1/5? (a) t (b) 0 (c) 3 b Let h = -83 + 83. What is the nearest to 1 in h, 1/9, -2/3? 1/9 Let y = 824/7 + -118. Let h = -0.8 + -0.2. Let u = 2 - h. What is the nearest to y in 1/8, u, 0.2? 1/8 Let d = 0.01 + -0.21. What is the closest to d in 1/3, 0, 4? 0 Let h = 7 + -7. Let z = -10 - -10.1. Which is the closest to z? (a) -0.06 (b) -4 (c) h c Let w = 108.86 + -113. Let q = w + 0.14. Which is the nearest to -1? (a) -0.3 (b) q (c) 0.1 a Let w = 1/175 - 533/1400. Which is the closest to w? (a) -2 (b) 1/2 (c) 1/4 c Let x = -5.1 + 5. Let w = -1.1 - x. Which is the closest to w? (a) -2/5 (b) -1/3 (c) 4 a Let l = -20 - -7. Let i = -6 - l. Suppose m + 4 + i = -3*g, -3*m = 15. Which is the nearest to g? (a) -2 (b) 5 (c) 0 a Let l be 1*2/(4/(-22)). Let t(d) = d + 3. Let u be t(l). Let r be ((-3)/12)/(3/u). Which is the closest to 2/3? (a) 2 (b) r (c) -2 b Let q = -1.2 + 1.3. Let n(m) = m**2 - 3*m + 2. Let o be n(4). Suppose -2*h - 8 = -o*h, -4*v = h + 10. Which is the nearest to 1/2? (a) v (b) 5 (c) q c Let o = -19 - -132/7. Let k = 0.18 - -0.12. What is the closest to 1/3 in o, k, -3/4? k Let u = 47 - 44. What is the nearest to 0.2 in -2/3, u, -2? -2/3 Let v be -5 - (96/(-54) + -3). Which is the nearest to 2/3? (a) -0.02 (b) 1/8 (c) v b Suppose -5*v = z + 1, 3*z + 3*v - v + 16 = 0. Let f = 2 + z. Which is the closest to 1? (a) -1/2 (b) 1 (c) f b Let m be 110/240 + (-1)/3. What is the nearest to 1 in m, 0.1, 0.07? m Let p = -3.25 + 3. Let x = 0.25 + -0.3. Let d = x + p. Which is the nearest to 0? (a) 2/15 (b) d (c) -3/7 a Let l(j) = -j**2 - 8*j - 2. Let n be l(-7). Which is the closest to 0? (a) n (b) -4 (c) -2/11 c Suppose -l + 78 = 4*l + 4*r, -5*r + 3 = l. Suppose -4*w = -b - l, -5*w + 4*w + 1 = -2*b. Let k = w + -5. What is the nearest to 0.2 in -0.1, k, -1/2? k Let u = -189/20 - -46/5. Which is the nearest to u? (a) 5 (b) 0 (c) 2/11 b Suppose -1 = -2*t - 7. Let c = -2 + 1. Let w = -2 - c. What is the nearest to -1 in t, w, -4? w Let g = 129 - 128. What is the nearest to g in -4/3, -1/3, -2? -1/3 Let o be (-1)/(3/(6*-10)). Suppose 4*s = -h + 20, h + 5*s - o = 2*s. Suppose -2*p - h = 2*p. Which is the closest to 2? (a) -3 (b) 2/3 (c) p b Let u be 3 - (4/12 + 2). What is the nearest to u in -4, -2, 0.5? 0.5 Let l = 2396 - 16745/7. Let t = 88/21 - l. Let z = -2 + 2. Which is the closest to z? (a) t (b) 5 (c) 3 a Let y be 2 - (160/36)/2. What is the nearest to -2/5 in -3/7, y, 2/7? -3/7 Let i = 6.5 - 5.5. Which is the closest to i? (a) -3/4 (b) -0.4 (c) 4 b Let k = 1/16 + -47/240. Let x be (1/(-3))/(0 - -1). Which is the closest to x? (a) -2/5 (b) 5 (c) k a Let k = -6 - -3. Let g = k + 3.1. Which is the closest to -2/3? (a) 0.2 (b) 4 (c) g c Suppose 0*v + 2 = 2*v. Let o = 90 + -89. Which is the closest to v? (a) 1/4 (b) o (c) -0.3 b Let u = 24 + -29. Which is the closest to 1/2? (a) -4/3 (b) u (c) 2/15 c Let a = 4.7 + -5. Let p(w) = w - 1. Let z be p(1). Let u be (-2 - (-1 - z))*3. What is the nearest to 0.1 in u, 0.1, a? 0.1 Let y = -16 + 3. Let f = -14 - y. What is the closest to f in -0.5, 5, -2/9? -0.5 Let z be 10/2*(0 - -1). What is the closest to 0.1 in z, 2, -1? -1 Let u = -21 + 14.5. Let g = 7 + u. Let o = 1.2 + -1. Which is the closest to 2? (a) o (b) g (c) -4 b Let k(o) = -o**2 + o + 9. Let i be k(4). Which is the closest to 0? (a) -0.1 (b) i (c) -9 a Let u = 85.6 - 84. Which is the nearest to -1? (a) 3 (b) u (c) -2/5 c Let q = -16 + 16.14. Let s = -1.14 + q. Let u be ((-3)/16)/((-3)/(-2)). Which is the nearest to 1? (a) s (b) u (c) -4 b Let j = 755/354 - -2/59. What is the closest to 0 in j, -2/21, 3? -2/21 Let p = 22 - 1. Let g = p - 12. Let u be (-3)/g*3/2. What is the closest to 0 in u, 1/5, -2? 1/5 Let r be -12*(-2 - 32/(-12)). What is the nearest to r in 0.5, -1/4, 3/2? -1/4 Let f = -7 + 6.99. Let c = f - 0.09. What is the nearest to c in -5, -2, -1? -1 Let u be (2 - 3)/(0 + -6). Let v be 2/(-8)*9/(-18). What is the nearest to -0.1 in -1/3, u, v? v Let r = 0.52 - -1.48. What is the closest to 2 in r, 0.3, 0.5? r Suppose -3*d = -3*g + 9, 2*d + g = -3*g - 6. Which is the closest to 1? (a) d (b) 1 (c) 4 b Let z = -0.274 - 0.026. What is the nearest to -1.7 in -2/3, -3, z? -2/3 Let d = -0.602 - -0.102. What is the nearest to -2 in d, 0.5, -3? -3 Let w = 600/7 - 86. Let q(l) = l**2 - 13*l - 4. Let g be q(13). Let t = g - -3. Which is the closest to -2/7? (a) -0.5 (b) w (c) t b Let z be 3 - ((-85)/6)/(-5). Let i = -3 + 1. What is the closest to z in -3, i, 0.5? 0.5 Let j(n) = -n**2 - 4*n + 3. Let x be j(-6). Let f = 17 + x. Let o be 0 - (f/21)/(-4). What is the nearest to 0.2 in -2/21, o, -4? o Let y = -2 - -11. Let r
{ "pile_set_name": "DM Mathematics" }
4*h + 33 What is the g'th term of -2, -38, -76, -116, -158, -202, -248? -g**2 - 33*g + 32 What is the c'th term of -24, -126, -382, -870, -1668? -13*c**3 + c**2 - 14*c + 2 What is the k'th term of 17866, 17864, 17862, 17860, 17858? -2*k + 17868 What is the q'th term of -47, -53, -55, -47, -23, 23, 97, 205? q**3 - 4*q**2 - q - 43 What is the v'th term of -1280, -1279, -1278, -1277? v - 1281 What is the h'th term of 21168, 21169, 21170, 21171? h + 21167 What is the k'th term of 145, 306, 455, 586, 693? -k**3 + 168*k - 22 What is the s'th term of 115, 223, 333, 445? s**2 + 105*s + 9 What is the p'th term of -29, -168, -543, -1274, -2481? -20*p**3 + 2*p**2 - 5*p - 6 What is the f'th term of -54, -57, -50, -27, 18? f**3 - f**2 - 7*f - 47 What is the n'th term of -410, -409, -408, -407, -406? n - 411 What is the a'th term of -188, -145, -66, 55, 224, 447, 730? a**3 + 12*a**2 - 201 What is the s'th term of -436, -430, -424? 6*s - 442 What is the d'th term of -38, -56, -74, -92? -18*d - 20 What is the m'th term of 10, 138, 266, 394, 522? 128*m - 118 What is the h'th term of -383, -379, -375? 4*h - 387 What is the g'th term of -761, -3071, -6933, -12353, -19337, -27891? -g**3 - 770*g**2 + 7*g + 3 What is the t'th term of -1, -15, -29, -43? -14*t + 13 What is the p'th term of 89, 79, 59, 23, -35? -p**3 + p**2 - 6*p + 95 What is the x'th term of 4514, 18069, 40662, 72293, 112962, 162669, 221414? 4519*x**2 - 2*x - 3 What is the z'th term of 116, 426, 942, 1664, 2592, 3726, 5066? 103*z**2 + z + 12 What is the l'th term of -13, -27, -45, -67, -93? -2*l**2 - 8*l - 3 What is the h'th term of 68, 84, 112, 158, 228? h**3 + 9*h + 58 What is the z'th term of -54, -57, -60, -63, -66? -3*z - 51 What is the x'th term of -50, -40, -24, -2, 26, 60, 100? 3*x**2 + x - 54 What is the s'th term of -175, -334, -491, -646, -799, -950? s**2 - 162*s - 14 What is the d'th term of 24, 15, 6? -9*d + 33 What is the w'th term of 23, 41, 71, 113, 167, 233, 311? 6*w**2 + 17 What is the o'th term of 75, 79, 85, 93, 103, 115? o**2 + o + 73 What is the p'th term of -3046, -3050, -3056, -3064, -3074? -p**2 - p - 3044 What is the x'th term of 665, 2678, 6033, 10730, 16769, 24150, 32873? 671*x**2 - 6 What is the j'th term of 8, -6, -32, -64, -96, -122, -136? j**3 - 12*j**2 + 15*j + 4 What is the y'th term of -14, -221, -566, -1049, -1670, -2429? -69*y**2 + 55 What is the g'th term of 322, 294, 264, 232, 198? -g**2 - 25*g + 348 What is the b'th term of -28, -91, -200, -355, -556, -803? -23*b**2 + 6*b - 11 What is the g'th term of -21, -43, -65, -87, -109? -22*g + 1 What is the v'th term of -241, -480, -719, -958? -239*v - 2 What is the j'th term of 503, 1028, 1555, 2084? j**2 + 522*j - 20 What is the y'th term of 121, 120, 117, 112, 105? -y**2 + 2*y + 120 What is the z'th term of 503, 507, 507, 497, 471? -z**3 + 4*z**2 - z + 501 What is the h'th term of 79, 155, 231? 76*h + 3 What is the y'th term of -3499, -3497, -3493, -3487, -3479, -3469, -3457? y**2 - y - 3499 What is the d'th term of 42, 179, 408, 729, 1142, 1647, 2244? 46*d**2 - d - 3 What is the c'th term of 47, 36, 17, -10, -45, -88? -4*c**2 + c + 50 What is the y'th term of 11, 38, 89, 176, 311, 506, 773, 1124? 2*y**3 + 13*y - 4 What is the p'th term of 3650, 7297, 10942, 14585, 18226, 21865? -p**2 + 3650*p + 1 What is the i'th term of -14, -9, -4, -5, -18, -49, -104? -i**3 + 6*i**2 - 6*i - 13 What is the c'th term of -678, -2710, -6096, -10836, -16930? -677*c**2 - c What is the l'th term of 343, 1343, 3009, 5341, 8339, 12003? 333*l**2 + l + 9 What is the x'th term of -2123, -2118, -2109, -2096, -2079? 2*x**2 - x - 2124 What is the a'th term of 551, 545, 533, 515, 491, 461? -3*a**2 + 3*a + 551 What is the s'th term of 562, 1125, 1688, 2251, 2814, 3377? 563*s - 1 What is the n'th term of 68, 130, 194, 260, 328, 398, 470? n**2 + 59*n + 8 What is the n'th term of -2143, -8539, -19199, -34123, -53311, -76763? -2132*n**2 - 11 What is the u'th term of 27, 93, 213, 399, 663, 1017, 1473, 2043? 2*u**3 + 15*u**2 + 7*u + 3 What is the g'th term of 935, 934, 933? -g + 936 What is the s'th term of -3929, -3925, -3919, -3911, -3901, -3889? s**2 + s - 3931 What is the c'th term of -95, -378, -845, -1496, -2331, -3350, -4553? -92*c**2 - 7*c + 4 What is the q'th term of 131, 192, 361, 692, 1239? 9*q**3 - 2*q + 124 What is the i'th term of -18318, -18316, -18314, -18312, -18310, -18308? 2*i - 18320 What is the m'th term of 8, -7, -36, -85, -160, -267, -412? -m**3 - m**2 - 5*m + 15 What is the o'th term of 75, 99, 123, 147, 171? 24*o + 51 What is the f'th term of -179, -184, -189, -194, -199, -204? -5*f - 174 What is the a'th term of 15, 22, 35, 54? 3*a**2 - 2*a + 14 What is the r'th term of 51, 189, 417, 735, 1143, 1641, 2229? 45*r**2 + 3*r + 3 What is the f'th term of -20, -96, -222, -398? -25*f**2 - f + 6 What is the c'th term of -14, -10, -6, -2, 2? 4*c - 18 What is the d'th term of -22, -141, -466, -1099, -2142, -3697? -17*d**3 - d**2 + 3*d - 7 What is the v'th term of 0, 25, 96, 237, 472, 825, 1320? 4*v**3 - v**2 - 3 What is the k'th term of -760, -759, -764, -781, -816? -k**3 + 3*k**2 - k - 761 What is the d'th term of -12, -13, -14? -d - 11 What is the g'th term of 44, 42, 40, 38, 36, 34? -2*g + 46 What is the l'th term of -13, -124, -403, -934, -1801? -14*l**3 - 13*l + 14 What is the b'th term of -259, -288, -317? -29*b - 230 What is the r'th term of 47, 116, 187, 260, 335, 412? r**2 + 66*r - 20 What is the b'th term of 70, 63, 56, 49, 42? -7*b + 77 What is the t'th term of 18, 44, 118, 264, 506, 868? 4*t**3 - 2*t + 16 What is the g'th term of -434, -453, -474, -497, -522, -549, -578? -g**2 - 16*g - 417 What is the r'th term of -181, -180, -179, -178, -177? r - 182 What is the n'th term of -255, -244, -229, -210, -187, -160, -129? 2*n**2 + 5*n - 262 What is the s'th term of 19354, 19351, 19346, 19339? -s**2 + 19355 What is the c'th term of -37, -30, -23? 7*c - 44 What is the c'th term of 56, 214, 486, 878, 1396, 2046? c**3 + 51*c**2 - 2*c + 6 What is the d'th term of -1045, -1053, -1075, -1117, -1185? -d**3 - d**2 + 2*d - 1045 What is the q'th term of -165, -130, -105, -96, -109? -q**3 + q**2 + 39*q - 204 What is the i'th term of 121, 127, 135, 145? i**2 + 3*i + 117 What is the l'th term of 589, 593, 599, 607, 617, 629? l**2 + l + 587 What is the r'th term of -288, -278, -266, -252, -236? r**2 + 7*r - 296 What is the p'th term of 2561, 5121, 7681, 10241? 2560*p + 1 What is the m'th term of -12, -35, -62, -93? -2*m**2 - 17*m + 7 What is the k'th term of -60, -243, -548, -975, -1524? -61*k**2 + 1 What is the k'th term of -443, -900, -1393, -1940, -2559, -3268, -4085? -3*k**3 - 436*k - 4 What is the y'th term of 17, 21, 13, -13, -63? -y**3 + 11*y + 7 What is the g'th term of -23, -26, -25, -20, -11? 2*g**2 - 9*g - 16 What is the k'th term of -146, -162, -182, -206, -234, -266? -2*k**2 - 10*k - 134 What is the f'th term of 325, 651, 979, 1309, 1641? f**2 + 323*f + 1 What is the a'th term of 63, 533, 1807, 4287, 8375, 14473? 67*a**3 + a - 5 What is the o'th term of -2402, -9628, -21672, -38534, -60214, -86712? -2409*o**2 + o + 6 What is the p'th term of -63, -120, -177, -234, -291? -57*p - 6 What is the l'th term of -710, -1416, -2120, -2822, -3522? l**2 - 709*l - 2 What is the o'th term of 842, 840, 838, 836, 834? -2*o + 844 What is the g'th term of 994, 1001, 1022, 1063, 1130? g**3 + g**2 - 3*g + 995 What is the b'th term of 2, 7, 10, 5, -14, -53? -b**3 + 5*b**2 - 3*b + 1 What is the m'th term of 43, 91, 139? 48*m - 5 What is the u'th term of -28, -32, -22, 8, 64, 152, 278, 448? u**3 + u**2 - 14*u - 16 What is the d'th term of -40, 64, 168? 104*d - 144 What is the z'th term of -4, 11, 38, 83, 152, 251, 386, 563? z**3 + 8*z - 13 What is the j'th term of 69, 141, 201, 249, 285, 309? -6*j**2 + 90*j - 15 What is the z'th term of 36, 48, 60, 72, 84? 12*z + 24 What is the u'th term of -371, -743, -1115, -1487? -372*u + 1 What is the d'th term of -1582, -3155, -4728, -6301, -7874, -9447? -1573*d - 9 What is the c'th term of -137, -136, -137, -140, -145? -c**2 + 4*c - 140 What is the y'th term of 16, 24, 30, 34, 36? -y**2 + 11*y + 6 What is the u'th term of -33, 29, 269, 777, 1643, 2957? 15*u**3 - u**2 - 40*u - 7 What is the g'th term of 149, 15
{ "pile_set_name": "DM Mathematics" }
emainder when 321 is divided by z. 22 Let q = -45 - -45. Suppose q = -58*s + 56*s + 4. Suppose -a = -s, -5*v - 5*a = -0*v - 330. What is the remainder when v is divided by 17? 13 Suppose 43*l - 7344 = 17*l - 25*l. Let n(s) = -2*s**3 - 7*s**2 - 7*s - 6. What is the remainder when l is divided by n(-4)? 30 Let m(t) = 3*t**2 + 44*t - 361. Calculate the remainder when m(8) is divided by 126. 57 Let a = -4044 + 4071. Let k = -3 + 6. Suppose 55 = 5*n - 4*g, 0 = 2*n + 5*g - k*g - 40. Calculate the remainder when a is divided by n. 12 Let i = -25481 + 26245. What is the remainder when i is divided by 203? 155 Suppose -14 = -11*c + 206. Let d = 283 - c. Calculate the remainder when d is divided by 5. 3 Let b be (-2)/10 + (-600)/(-500). What is the remainder when 117*(3/9)/b is divided by 25? 14 Let f = -133199 - -133248. Calculate the remainder when -2 + (3 - 2)*196 is divided by f. 47 Suppose -27 - 93 = -15*r. Suppose -2*j + 247 = 5*t, t + 341 = -4*j + 844. Suppose -r*i = -i - j. What is the remainder when 88 is divided by i? 16 Let v(m) = m**3 + 11*m**2 - 3*m - 30. Let x be v(-11). Let f(j) = -j**2 + 6 - j - 5*j**x - 4*j + 2*j - 9. What is the remainder when f(-2) is divided by 21? 18 Suppose -27*r = -2 + 29. Let j(z) = 45*z**2 + 3*z + 6. What is the remainder when j(r) is divided by 25? 23 Suppose 260 = 3*o - k, 192 = 2*o - k + 20. Calculate the remainder when 237 is divided by o. 61 Let j(k) = -k**3 + 10*k**2 - 11*k - 3. Suppose 0 = -7*n + 26 + 30. Suppose -n*p = -33 - 31. Calculate the remainder when j(p) is divided by 8. 5 Suppose -2*s + 18 + 50 = 0. Suppose 0 = -5*q - 36 + 11, 0 = 5*i - 3*q - 840. Calculate the remainder when i is divided by s. 29 Let g(c) = 2*c**2 - 41*c + 8. Let f(a) = -a**2 + 21*a - 5. Let j(d) = -5*f(d) - 3*g(d). What is the remainder when j(7) is divided by 27? 24 Let b be 8/6*(-51)/(-34). Suppose 4*n - 191 = -2*x + 229, 5*x + 186 = b*n. Let z = -32 + 68. Calculate the remainder when n is divided by z. 31 Suppose 14*d - 1561 = -63. What is the remainder when 960 is divided by d? 104 Let t be (-2750)/(-1) - (-4 + 6)/1. Suppose -9*m - 264 = -t. What is the remainder when m is divided by 31? 28 Suppose -58*p + 46*p - 69*p = -13122. What is the remainder when 9071 is divided by p? 161 Let z(b) be the first derivative of -b**4/4 + 2*b**3/3 - 3*b**2/2 + 32*b - 185. Calculate the remainder when 734 is divided by z(0). 30 Let x(n) = n**2 + 56*n + 166. What is the remainder when x(6) is divided by 133? 6 Let g(s) = -s**3 + 8*s**2 - 7*s + 24. Let u be g(4). Suppose -11*t + n = -9*t - 45, -u = -2*t + 4*n. What is the remainder when 97 is divided by t? 17 Let a(u) = -u**2 + 83*u - 579. Suppose -4*k + 113 = -3*d, -7 = -k + 3*d + 2*d. What is the remainder when a(9) is divided by k? 23 Let t = 77443 - 50076. Calculate the remainder when t is divided by 11. 10 Let y be ((-561)/(-44))/((-3)/(-152)). Let l = y - 639. What is the remainder when 257 is divided by l? 5 Suppose -15*t = -26*t + 55*t - 12672. What is the remainder when t is divided by 280? 8 Suppose -2*d + j - 102 = 0, 3*d + 266 = -2*d - 3*j. Let q(b) = -b**3 - 52*b**2 - 4*b - 157. What is the remainder when 148 is divided by q(d)? 46 Suppose 88*l = 142*l - 10908. What is the remainder when 605 is divided by l? 201 Suppose 4*a = -2*a + 12. Suppose -4*n + 4*c + 56 = 0, -a*n + 6*n + 2*c = 56. Calculate the remainder when 52 is divided by n. 10 Suppose 5*x + 8*m - 6*m = -156, -2*m - 60 = 2*x. Let z = x - -80. Calculate the remainder when 191 is divided by z. 47 Let j be -24 + 23 + -1*4. Let z be 5/(0 - j)*-2. What is the remainder when 88 is divided by (z + 0)/((-6)/135)? 43 Suppose 4*c - 367 = 37. What is the remainder when ((-168)/5)/((-95)/1425) is divided by c? 100 Let t(g) = 5*g**2 + 2*g. Let x be t(0). Let d(q) = 2*q**2 - 3*q + 19. Let z(p) = 7*p - 6. What is the remainder when z(6) is divided by d(x)? 17 Suppose 96 = 3*y + y. What is the remainder when y is divided by -3 + -1 - (156/(-260) - (-224)/(-10))? 5 Suppose -6*t = -8*t + 124. Let u = 309 - 212. Suppose -u = -5*i - 32. Calculate the remainder when t is divided by i. 10 Let g = 19046 - 17957. Calculate the remainder when g is divided by 4. 1 Let d = 261 + -258. Suppose 0 = d*v - 188 - 19. Calculate the remainder when 482 is divided by v. 68 What is the remainder when 17892 is divided by 4/(-14 + (-4920)/(-348))? 28 Suppose -6573 - 43152 = -85*u. What is the remainder when u is divided by 161? 102 Suppose -25*u + 104 + 442 = 14*u. Calculate the remainder when 824 is divided by u. 12 Let h = 40 + -32. Let l be 8/(-14)*(-28)/h. Suppose -b + 14 + 67 = -l*m, -4*b = -5*m - 309. What is the remainder when b is divided by 37? 34 Let m = 1805 - 1626. Calculate the remainder when 369 is divided by m. 11 Let n(d) = -2*d**2 - d + 1. Let c(y) = 11*y**2 + 46*y - 39. Let u(g) = c(g) + 6*n(g). Calculate the remainder when u(34) is divided by 6. 3 Let h(m) = -m**2 - 32*m - 81. Let s = -13 + 26. What is the remainder when h(-23) is divided by s? 9 Suppose 10*p = -0*p + 830. Let s = -22 + p. Let d = 70 - s. What is the remainder when 31 is divided by d? 4 Let x = 8160 + -8085. Calculate the remainder when 230 is divided by x. 5 Let u(k) = 2*k**3 + 28*k**2 + 16*k + 160. Calculate the remainder when 605 is divided by u(-12). 61 Suppose -4*z + 70 = 2*b, -5*b = -6*z + 8*z - 15. Let r = 81 + z. What is the remainder when r is divided by 26? 23 Suppose -5812 - 1348 = -179*m. What is the remainder when 110 is divided by m? 30 Let o = 47 + -22. Let a be 72/15*80/(-24). Let p(u) = -16*u - 182. Calculate the remainder when p(a) is divided by o. 24 Calculate the remainder when (2/5 + 78/130)/(1/607) is divided by 21. 19 Let a = -9 - -1. Let l be 10*(4 + 44/a + 1). Let m(d) = 2*d**2 - 8*d - 17. What is the remainder when m(l) is divided by 20? 13 Let g be (-20)/12 - (-1 + 12/9). Let i be g/14 - 148/(-7). Let q = 46 - i. What is the remainder when q is divided by 13? 12 Let p(s) = 4*s**2 + 30*s - 70. What is the remainder when p(-13) is divided by 9? 0 Suppose -13*z - 4*c = -8*z - 9803, -4*z = -2*c - 7806. What is the remainder when 1955 is divided by z? 0 Let b(d) = 1272*d - 246. Calculate the remainder when b(4) is divided by 15. 12 What is the remainder when 2774 is divided by (1232/14)/22 + 3 + -6? 0 Let p(n) = n**3 - 12*n**2 + 37*n + 89. Calculate the remainder when p(9) is divided by 20. 19 Let f(x) = 26*x**2 - 194*x - 104. What is the remainder when 936 is divided by f(8)? 0 Let t be 4/(-30) + 68096/420. Suppose -10*r + 1718 = -t. What is the remainder when r is divided by 48? 44 Suppose 0 = -19*g + 216 - 4909. Let w = -234 - g. Calculate the remainder when 127 is divided by w. 10 Let f be (-1 - -18) + -1 + 12/4. Suppose 5*k - 82 = -2*x, k + f - 54 = -x. What is the remainder when (-290)/(-3) - 4 - (-2)/(-3) is divided by x? 30 Let g(h) = -45*h**3 - h**2 - 4*h - 2. Let a be 4 - (-6)/(-4)*-2. Suppose 19 = a*o + 26. Calculate the remainder when g(o) is divided by 8. 6 Suppose 23 + 302 = 65*x. Calculate the remainder when 47 is divided by x. 2 Let n(j) = -202*j - 1801. Let l(w) = -w + 3. Let z be l(9). What is the remainder when ((-150)/(-8))/(z/(-16)) is divided by n(-9)? 16 Let a = 82 + -91. What is the remainder when 34 is divided by 7 + a + 3 + 3? 2 Suppose -43*l + 41*l + 12 = 0. Suppose 8 = -l*a + 7*a. What is the remainder when 46 is divided by a? 6 Let q be (1032/(-60))/(2/20). Let t(y) = 8*y**2 + 2*y + 4. Calculate the remainder when t(-6) is divided by ((-6063)/q)/(6/(-8)*-1). 45 Let o(a) = a**2 - a. Let z(g) = 2*g**2 - 8*g + 24. Let f(m) = 3*o(m) - z(m). Suppose 16 = -3*v - 17. What is the remainder when f(v) is divided by 15? 12 Let k = -1750 - -1851. Calculate the remainder when 305 is divided by k. 2 What is the remainder when 177 is divided by (-3)/(-6)*-6 + 3 - -37? 29 Suppose -10*b - 1237 = 817 - 2674. What is the remainder when 344 is divided by b? 34 Let t be (-2 + 8)*(-7 + 8). Suppose t*q - 133 - 137 = 0. What is the remainder when q is divided by 7? 3 Suppose -u = 4*w - 112, -655*w + 34 = -653*w - 5*u. Let z = -11 + 26. What is the remainder when w is divided by z? 12 Let r(c) = -11*c. Suppose i + d + 0*d + 58 = 0, 0 = 4*i - 3*d + 253. Let g = 124 + i. Calculate the remainder when g is divided by r(-3). 30 What is the rem
{ "pile_set_name": "DM Mathematics" }
) = -3*w**2 - 3*w + 3*w. Let s(h) = h + 2. Let c(r) = -5*r - 9. Let z(q) = 2*c(q) + 9*s(q). Calculate x(z(y)). -3*y**2 Let w(d) = -28*d**2. Let r(m) = -151*m. Give r(w(i)). 4228*i**2 Let n(q) = -3*q. Let k(x) be the third derivative of 0 - 6*x**2 + 0*x + 0*x**3 - 1/12*x**4. Determine k(n(z)). 6*z Let g(c) be the first derivative of c**2/2 + 1. Let n = 4 - 2. Let y(b) = -5*b - n*b**2 + 5*b + 0*b**2. Calculate g(y(m)). -2*m**2 Let s(y) = -5*y - 11. Let m(u) = u + 2. Let a(f) = 11*m(f) + 2*s(f). Let v(c) be the second derivative of 2*c + 0*c**2 - 1/6*c**3 + 0. Determine a(v(w)). -w Let i(u) = 2*u. Let m(w) = 5*w**3 + 4*w - 6. Let s(x) = -x**3 - x + 1. Let z(v) = -m(v) - 4*s(v). Let r(h) be the first derivative of z(h). Calculate r(i(b)). -12*b**2 Suppose 4*k = -0*k + 3*v + 11, -8 = -2*k + 4*v. Suppose 2*m + 2 = 3*m. Let s(g) = -m*g + k*g + g. Let w(d) = d**2. What is s(w(t))? t**2 Let r(l) = 6*l**2. Let m be 9*(0 - (-1 - 0)). Let a(w) = w - m + 9. Determine r(a(f)). 6*f**2 Let a(k) = 3*k - 4*k + 5*k. Let z(x) = 6*x - 8. Let y(h) = 9*h - 1. Let n(m) = 5*m. Let q(v) = 5*n(v) - 3*y(v). Let c(f) = 8*q(f) + 3*z(f). Determine c(a(g)). 8*g Let y(m) = 113 - 113 + m**2. Let d(t) = -6*t**2. Determine y(d(o)). 36*o**4 Let u = -21 - -23. Let g be ((-2)/(-4))/(3/54). Let w(v) = 2*v**u + 9 - g. Let l(r) = r. Give w(l(i)). 2*i**2 Let l(d) = -d. Let k(n) = 3*n**2 - 41*n. What is k(l(i))? 3*i**2 + 41*i Let p(h) = -16*h. Let d(n) = 15*n. Let x(u) = 7*d(u) + 6*p(u). Let q(c) = -c. Calculate x(q(y)). -9*y Let d(h) = -16*h + 7*h + 10*h. Let o(s) be the first derivative of -s**3/3 + 1. Calculate d(o(n)). -n**2 Let r(k) be the first derivative of k**3/3 + 1. Let u(a) be the second derivative of -1/12*a**4 - 2*a + 0*a**2 + 0 + 0*a**3. Determine r(u(y)). y**4 Let p(h) = -143*h. Let o(l) = l. Calculate p(o(m)). -143*m Let x(g) be the third derivative of g**4/12 - 21*g**2. Let l(n) = -54*n. Give x(l(z)). -108*z Let x(s) = 4*s. Let n(z) = 7*z. Let m(k) = -6*n(k) + 11*x(k). Let f(u) = -u + 1. Give m(f(v)). -2*v + 2 Let x(l) = 8*l**2. Let g(m) = -4*m - 23 + 23. Give x(g(r)). 128*r**2 Let r(y) = -7684*y**2 - 272*y. Let p(f) = 141*f**2 + 5*f. Let m(j) = 272*p(j) + 5*r(j). Let c(g) = g**2. What is m(c(l))? -68*l**4 Let t(b) be the first derivative of -5*b**2 + 3. Let n(k) = 3*k. Give t(n(c)). -30*c Let c(y) = -3*y - 3. Let p(z) = z**2 - 2*z - 2. Let b(l) = 2*c(l) - 3*p(l). Let i(n) = -2*n + 3*n + n. What is b(i(r))? -12*r**2 Let k be 1 + -2 - 6/(-2). Let a(n) = -6*n**k + 3 - 3. Let j(b) = 2*b**2 + 3*b. Let o(s) = -3*s**2 - 4*s. Let t(p) = 4*j(p) + 3*o(p). What is a(t(v))? -6*v**4 Let b(x) = -8*x. Let p(w) = 20*w. Calculate p(b(i)). -160*i Let u(h) = -h. Suppose 6*p - 15 = p. Let n(s) = -p*s - 3*s - 2*s. Determine u(n(t)). 8*t Let o(d) = -2*d**2. Let r be 1 + (4 + 0 - 3). Let c(i) be the second derivative of 0 + 1/3*i**3 - i + 0*i**r. Give c(o(x)). -4*x**2 Let m = 1 - -3. Let o(p) = 2*p + m + 12*p - 4. Let l(h) = -h. Calculate o(l(x)). -14*x Let n(t) = -2*t**2 - 273*t. Let f(h) = -h**2. What is n(f(o))? -2*o**4 + 273*o**2 Let t(f) = -5*f. Let b(o) = -2121*o. Determine t(b(d)). 10605*d Let v(x) = 5*x. Let c(z) = 13*z. Let h(j) = 392*j. Let r(w) = 182*c(w) - 6*h(w). Give v(r(t)). 70*t Let h(d) = -39*d - 17. Let j(n) = -n**2. Determine h(j(a)). 39*a**2 - 17 Let k(u) be the second derivative of -u**4/3 + 65*u. Let n(y) be the first derivative of y**3 + 2. Give n(k(t)). 48*t**4 Let n(m) = -55*m - 15. Let s(x) = -2*x. Determine s(n(h)). 110*h + 30 Let c(q) = 2*q**2. Let u(f) = 267*f**2. Calculate u(c(n)). 1068*n**4 Let m(p) = -p**2 - 3*p**2 + p**2 + 5*p**2. Let d(z) = z**2 - z. Let g(i) = 2*i**2 + 5*i. Let j(w) = -5*d(w) - g(w). Calculate m(j(r)). 98*r**4 Let f(z) = 2*z + z - 3*z + 3*z. Let y(v) = -4*v**2. Calculate y(f(x)). -36*x**2 Let y(o) = -13*o + 7. Let a(u) = -33*u. Determine y(a(p)). 429*p + 7 Let q(o) = 25*o. Let n(g) = -80*g**2. What is n(q(l))? -50000*l**2 Let v(h) = h. Let n(f) = -3*f. Let j(w) = -2*n(w) - 5*v(w). Let k(o) = -3*o. Calculate j(k(d)). -3*d Let o(z) be the first derivative of 0*z**2 - 4 + 14/3*z**3 + 0*z. Let t(u) = 2*u**2. Give o(t(x)). 56*x**4 Let t(u) = -2*u**2. Let h(q) = 1152 - 1152 + 8*q. What is h(t(p))? -16*p**2 Let n(j) = -13*j**2 - 100*j. Let x(o) = -o. What is n(x(a))? -13*a**2 + 100*a Let c(t) = 2*t. Let k be 1 + -3 + 64/8. Let d(x) = -k*x + 6*x + 6*x**2. Calculate c(d(j)). 12*j**2 Let w(l) = -6*l**2 - 406*l + 406*l. Let s(o) = -4*o. What is w(s(r))? -96*r**2 Let j(z) = -z. Suppose 3*m - m = 8. Let u(h) = -m*h + 3*h - 2*h + 2*h. Determine u(j(c)). c Let b(y) = -17*y**2. Let c(f) be the first derivative of -f**3 - 71. Calculate c(b(o)). -867*o**4 Let n(y) = -3*y - 4. Let p(h) = 12*h + 15. Let q(x) = -15*n(x) - 4*p(x). Let r(b) = -3*b**2. What is r(q(c))? -27*c**2 Let o(t) = 10*t. Let i(z) = 12*z. What is o(i(j))? 120*j Let u(z) = 2*z**2 + 3*z - 4. Let s be u(-3). Suppose -5*b - 3*w + 74 = 10, 0 = 5*b - s*w - 80. Let l(o) = 2*o**2 - b*o + 14*o. Let q(h) = -4*h. What is q(l(c))? -8*c**2 Let d(l) = -10*l**2 - 7*l - 7. Let t(p) = -3*p**2 - 2*p - 2. Let x(b) = -2*d(b) + 7*t(b). Let y(k) = -k**2 + 10*k**2 - 28*k**2. What is x(y(h))? -361*h**4 Let l(r) = -2*r. Let d(a) = 5*a + 1. Let t be d(2). Let x(i) = t*i - 11*i - i**2. Give x(l(f)). -4*f**2 Let u(d) = 900*d**2. Let m(l) = 2*l. Determine u(m(s)). 3600*s**2 Let h(k) = k + 2. Let y be h(3). Let j(s) = 1 + y*s**2 - 1 - s**2. Let q(d) = 11*d - 17. Let a(g) = -2*g + 3. Let v(u) = -34*a(u) - 6*q(u). Determine v(j(o)). 8*o**2 Let p(m) = 2*m - 111. Let n(r) = 2*r. Calculate n(p(q)). 4*q - 222 Let n(j) be the second derivative of -5*j**3/3 - 2*j. Let y(v) = v**2. Determine n(y(f)). -10*f**2 Let z(y) be the first derivative of y**2/2 + 5. Let v(h) = -2*h. Determine v(z(l)). -2*l Let o(a) = a. Let r(g) = 4*g**2 - 2*g - 119. What is o(r(k))? 4*k**2 - 2*k - 119 Let i(n) = 175*n**2. Let c(w) = w**2. Determine c(i(z)). 30625*z**4 Let o(p) = 2*p - 90. Let c(v) = 2*v**2. What is c(o(h))? 8*h**2 - 720*h + 16200 Let h(t) = -21*t**2. Let u(d) = -2*d**2. Determine u(h(p)). -882*p**4 Let h(s) = 142*s. Let d(o) = o**2. Determine h(d(l)). 142*l**2 Let o(y) = -y**2. Let p(w) = 1058*w. Calculate o(p(b)). -1119364*b**2 Let p(d) = -2*d. Suppose q = 6 - 4. Let i(y) = -21 + 21 + q*y**2. Determine i(p(n)). 8*n**2 Let q(i) be the first derivative of 3*i**2/2 + 1. Let r(h) = -3*h**2. Calculate q(r(s)). -9*s**2 Let n(j) = j**2 - 3*j**2 + 4*j**2. Let h(i) = -8*i**2. Let v(s) be the third derivative of s**5/60 + 3*s**2. Let l(y) = -h(y) - 4*v(y). What is l(n(u))? 16*u**4 Let t(k) be the second derivative of 2*k**4/3 - 2*k. Let b(u) be the second derivative of u**4/12 - 18*u. Calculate t(b(p)). 8*p**4 Let q(h) = 2. Let o(p) = 2*p - 6. Let g(b) = -2*o(b) - 6*q(b). Let k(n) = 4*n. Calculate k(g(x)). -16*x Let z(b) = -9*b + 6. Let q(d) = d - 1. Let m = 7 + -11. Let n be (6/4)/((-1)/m). Let l(o) = n*q(o) + z(o). Let t(j) = 2*j. Calculate t(l(g)). -6*g Let j(r) = -6*r**2. Suppose 2*h + 12 = 5*h. Suppose 14 = h*g - 10. Let z(p) = g*p + 2*p**2 - 3*p - 3*p. Calculate z(j(w)). 72*w**4 Let m(o) = 7*o. Let p(k) = -12*k. Let h(b) = -10*m(b) - 6*p(b). Suppose -3*g = 3*d - 6, 4*g = -3*d + 7 - 2. Let s(t) = t + d*t - 2*t. What is s(h(j))? 4*j Let f(d) = d + 1. Let q(p) = -4*p - 5. Let k(u) = -5*f(u) - q(u). Suppose -w + 6 = 2*w. Let s(x) = x**w + x**2 - x**2. Determine k(s(b)). -b**2 Let g(m) = -3*m. Let s(p) = -6 + 6 - 2*p**2. Determine g(s(r)). 6*r**2 Let j(b) = 2*b - 5. Let y(p) = p - 2. Let a(r) = 6*j(r) - 15*y(r). Let c(o) = -3*o**3 - 1. Let l be c(-1). Let d(n) = n**2 - n**l - n**2. Calculate a(d(i)). 3*i**2 Let i(r) = r. Suppose 2*a - a - 5 = 0. Suppose -a*h = -3*h - 4. Let n(b) = 0 + h*b**2 + 0 + 0. Calculate n(i(o)). 2*o**2 Let u(r) = -34*r. Let x(h) be the second derivative of h**3/3 + 2*h + 14. Give x(u(o)). -68*o Let u(n) = -2*n + 2. Let j(o) = -3*o + 2. Let v(m) = 5*j(m) - 5*u(m). Let f(s) = -2*s**2 - 4*s**2 + 2*s**2. Calculate f(v(r)). -100*r**2 Let y(m) = -41*m. Let r(c) = 5*c**2 + c. Calculate y(r(b)). -205*b**2 - 41*b Let n(o) = -o + 5. Suppose 0 = 2*c + 10, -4*c - 14 = -0*j + 3*j. Let y(m) = 2 - j - 1. Let w(l) = -n(l) - 5*y(l). Let f(k) = -3*k**2. Calculate w(f(i)). -3*i**2 Let i(c) = 2*c**2. Let z(j) = -70*j**2 + 78*j**2 - 3*j +
{ "pile_set_name": "DM Mathematics" }
n 2, 1, -2, -1/92, 0.4? -1/92 Which is the closest to -12? (a) 15 (b) 11.7 (c) -3 c What is the nearest to -0.1 in -4, 2530, -0.3? -0.3 Which is the closest to -2/5? (a) 5 (b) 0 (c) -2045/3 (d) -2/13 d Which is the closest to -1? (a) 2 (b) -8 (c) -28 (d) 9.7 (e) -3 e Which is the closest to 1/3? (a) 1 (b) -7.7 (c) 1/4 (d) -0.74 c Which is the closest to 4246/5? (a) -4/9 (b) -0.1 (c) -0.3 (d) -3 b What is the nearest to -1/3 in -0.103, 0, -1/24? -0.103 What is the closest to 0 in -2, -2/5, 3225/13, 2/23? 2/23 What is the nearest to -0.6 in -8/29, 2/27, -1, -3/4? -3/4 What is the closest to 0 in 3, -26, -5, 0.3, -1/7? -1/7 What is the closest to -2/401 in -2/9, 0, -24, 3? 0 What is the nearest to -3 in 8, -124, 2/5? 2/5 What is the closest to 1 in 2/1275, -3/7, 8? 2/1275 Which is the nearest to -0.1? (a) -45 (b) -0.014 (c) 1.02 b What is the nearest to -2/123 in -3, 0, 753? 0 What is the closest to -3 in 40, -3, -7, 2.9? -3 Which is the nearest to 1? (a) -0.2 (b) -12 (c) 0.1 (d) -493 c Which is the nearest to -24? (a) 0.4 (b) -0.4 (c) 19.7 (d) 3/10 (e) 5 b Which is the nearest to 1? (a) -363 (b) -0.1 (c) 0.4 c Which is the closest to 2? (a) 6 (b) 1/10 (c) -0.33 (d) -191 b Which is the nearest to -11? (a) -19.7 (b) 2/19 (c) -8 (d) 1/9 (e) -2 c Which is the nearest to -2? (a) 4 (b) -8171 (c) 2 (d) -0.5 d Which is the closest to 2? (a) -12/17 (b) 3/7 (c) 2 (d) 3 (e) -1/3 c What is the nearest to -8 in 0.115, 0.4, 0? 0 What is the closest to 3 in 7, -1/10, -3.3, -0.5, 3/8? 3/8 Which is the closest to -2.613? (a) 1 (b) 5 (c) -8 a Which is the nearest to -2? (a) -6/13 (b) 0 (c) 0.32 (d) -2 (e) -2/23 d What is the closest to -0.1 in -1.5, 2, -34? -1.5 What is the closest to 0 in -2, -8.3, -16, 3, 0.2? 0.2 Which is the nearest to 1? (a) -0.06 (b) 240 (c) 2/5 (d) -2/3 c Which is the closest to 2/25? (a) 0.3 (b) 0.062 (c) -0.2 b Which is the closest to 79? (a) -3 (b) 0.1 (c) 2 (d) -2/13 (e) 0.02 c Which is the nearest to -11? (a) -0.4 (b) 9 (c) 3 (d) 0.4 (e) 2/3 a What is the closest to 2 in -2/11, 3, 1/4, 1/3? 3 What is the nearest to 5/6 in -3/4, -1, 1/3, -0.0747, -5/3? 1/3 Which is the nearest to -0.1? (a) 5/198 (b) -5 (c) -11 a Which is the closest to -0.01? (a) 0 (b) -144 (c) 1 (d) -2/5 (e) -4 a Which is the nearest to 2? (a) 3 (b) -138 (c) -0.1 a Which is the closest to -0.9? (a) -5 (b) 0.11 (c) -2/7 (d) -1/15 (e) 0.3 c Which is the nearest to 0.08? (a) -0.1 (b) -1.146 (c) 0.4 a What is the closest to -3785.8 in 0, 4, 2? 0 Which is the closest to -1? (a) -9 (b) 2 (c) 13/2 b What is the closest to 0 in 70, -3, -389/3, -4? -3 Which is the closest to 0.2? (a) -10 (b) 1/5 (c) -29 (d) 2 (e) 4/7 b What is the closest to 0 in -0.3, 2, -1/210, -5, -3? -1/210 What is the closest to 2.6 in -2/3, -1/5, 297, -5? -1/5 Which is the nearest to -1/3? (a) 0.063 (b) -25 (c) -3 (d) 5 a What is the nearest to -0.5 in 2/3, 0.3, -114, -0.08, -8? -0.08 Which is the closest to -2/5? (a) -0.8 (b) -0.4 (c) 0.057 b What is the closest to 60 in -2/25, 0.5, 4/3, 15? 15 What is the nearest to 1 in 0.5, 2938, -3? 0.5 What is the nearest to 18679 in 0.7, 2/11, 2? 2 What is the closest to 3260 in -2, 0.4, 4/55, 2? 2 Which is the nearest to -659? (a) 6 (b) 3 (c) -5/3 c Which is the nearest to 1/49? (a) -5 (b) 5 (c) -0.4 (d) 21 c Which is the nearest to -63? (a) -1/4 (b) -2 (c) -1/5 b What is the closest to -1 in 4355/6, 0, 1? 0 What is the nearest to 1 in 6606, -4/9, 1? 1 What is the nearest to -1/6 in 0.00627, -0.3, 1/7? -0.3 What is the closest to -1 in 25.6, 68, -0.3, -1, 2/7? -1 Which is the nearest to -0.4736? (a) -3/2 (b) 3 (c) -30 a What is the nearest to 13 in -4/5, -1/2, -7530? -1/2 What is the nearest to -2 in -2/27, -7, -4/7, 0.05? -4/7 Which is the nearest to -300? (a) 1 (b) -2 (c) -13 (d) 4 c What is the closest to 5 in -493.6, -2, 2, -4? 2 What is the closest to -0.8 in -3/5, 0.4056, -5? -3/5 What is the closest to 14 in 5, -0.4, -25, 4, 2.23? 5 Which is the closest to -5/14? (a) 0.3 (b) -1 (c) -4 (d) 2/17 (e) -2 d Which is the closest to 1? (a) 0.026 (b) 0 (c) -1.1 a Which is the nearest to 0? (a) -4 (b) 31 (c) -1/4 c Which is the closest to -4/5? (a) 1/922 (b) 1 (c) -4 a Which is the nearest to 5? (a) 52 (b) -1/6 (c) -3/8 b What is the closest to 40 in -12, -2/57, -2/7? -2/57 Which is the closest to 1? (a) -2/5 (b) 1/6 (c) 3 (d) 0.037 (e) 1 e Which is the nearest to -2/7? (a) -25 (b) 0.015 (c) 3 b Which is the closest to 0? (a) -0.3 (b) 1.3564 (c) -3/8 (d) 0.1 d Which is the nearest to -1? (a) -1 (b) -3 (c) -410/7 a Which is the nearest to -0.1? (a) -53 (b) -1.46 (c) 23 b Which is the closest to -1/3? (a) -2/7 (b) -0.19 (c) 0.1 a Which is the nearest to -2? (a) 610 (b) 4 (c) -1/6 (d) 1 c What is the closest to -9 in -5, -380, -2, 1/4? -5 What is the closest to 0.1 in -2/9, -0.026, -6/5? -0.026 Which is the nearest to -0.3307? (a) 55 (b) -0.2 (c) -3 b Which is the closest to -0.01? (a) 31 (b) -6/13 (c) -6 b What is the closest to 1/3 in 3.17, -0.16, 9, 0.3, 2? 0.3 Which is the nearest to 3/29? (a) 0.2 (b) -0.01 (c) -78 a Which is the closest to 2/5? (a) 5 (b) -4 (c) -0.1 (d) -6/7 (e) 197 c Which is the closest to 2/5? (a) -1/2 (b) -1/5 (c) 2 (d) 1568 (e) -5 b Which is the nearest to 9? (a) -5 (b) -0.08 (c) 0.2 (d) 0 c Which is the nearest to 556/27? (a) 0.4 (b) -8 (c) 4 c Which is the closest to 2/3? (a) 0.3 (b) 3 (c) -1 (d) -2 (e) -525 a What is the nearest to 2/3 in -1/10, 5, -0.02, -3, 387? -0.02 What is the nearest to 0.1 in -0.14, -13730, -3, -0.4? -0.14 Which is the nearest to -1? (a) 0.3 (b) -0.5 (c) -0.009 (d) 7 b Which is the closest to 12? (a) 2/5 (b) -2/9 (c) -1/6 a What is the nearest to -160 in 5, -3/10, -2? -2 Which is the closest to 1475/4? (a) 0.2 (b) -2 (c) 2/3 c Which is the nearest to -1? (a) -0.5 (b) -95 (c) 5 (d) -3/7 (e) 16/5 a What is the closest to 24 in 5, -0.101, 0.3, -1/4, -5/2? 5 Which is the closest to -0.1? (a) 17 (b) 1/10 (c) -2/3 (d) -1/6 d Which is the closest to -2? (a) -122.9 (b) -2 (c) 1 (d) 0.1 (e) -0.4 b Which is the closest to 564? (a) 7 (b) 0 (c) 0.1 a What is the nearest to 2/9 in 1, 14, -1.2, 2? 1 Which is the closest to 0? (a) -0.02 (b) 1/18 (c) -2/3 a What is the closest to 2 in -5/42, -8, -0.1, -2, 4? 4 What is the nearest to -3/8 in -5, -1/2, -127? -1/2 Which is the nearest to -2? (a) 2/15 (b) 0.4 (c) -168/13 (d) -19 a Which is the nearest to 0? (a) -24 (b) 1 (c) -4/27 (d) 1/2 c Which is the closest to 1? (a) 0.4 (b) 3/188 (c) -4/9 (d) 2/3 d Which is the closest to 0.032? (a) -0.2 (b) -14 (c) 0.3 a What is the nearest to -0.4 in -2/3, -7, -2? -2/3 Which is the closest to 4? (a) -2/13 (b) 9 (c) -0.5 (d) 3 d What is the closest to 72 in -5, 2/7, 4, -15/7? 4 Which is the closest to -3? (a) -0.02 (b) -4 (c) -1 (d) -0.1 (e) -0.012 b Which is the nearest to -1/3? (a) -3/8 (b) 0 (c) -31 (d) 2 (e) 16 a What is the nearest to -2/3 in 8/19, -2, -1, 0.5, -5? -1 Which is the nearest to 0.07? (a) -1/2 (b) 0.092 (c) -3 b What is the closest to -0.1 in -2, 3/8, -1/3, -8/7, 36/7? -1/3 What is the nearest to 1/2 in -0.4, 2, 2.5, 0.0169, -3/5? 0.0169 Which is the closest to -53/3? (a) 0.2 (b) -0.5 (c) 7578 b Which is the nearest to 1? (a) 34 (b) 4 (c) 5 (d) 6 b What is the closest to -2/9 in -45, 0, -4, -2/5, 2? -2/5 Which is the closest to -3? (a) -3 (b) 5 (c) -16 (d) -386 (e) -1 a What is the closest to 0 in -1, 0.4, -4.5, -0.3? -0.3 Which is the closest to -1? (a) -31 (b) 2 (c) -3/7 (d) 3/8 (e) -1/38 c Which is the nearest to 24642? (a) -2/13 (b) -5/3 (c) 3/7 c Which is the closest to -4? (a) -1354 (b) 1 (c) 2 b What is the nearest to -1267 in 0.3, -0.4, -2, 3? -2 What is the closest to -13 in -2/9, 2/5, -955? -2/9 Which is the closest to -22? (a) 23 (b) 0 (c) 2/7 (d) -1 d What is the closest to 4 in -8, 6, -0.473? 6 Which is the nearest to -1.8? (a) 15 (b) 0.25 (c) -3 c Which is the closest to 0.08? (a) 0.09 (b) -18/11 (c) 1/4 a What is the closest to -1 in -5/6, 1, 35/24, 4? -5/6 What is the closest to 1 in -100, -4, -0.5, -2, 0.3? 0.3 Whi
{ "pile_set_name": "DM Mathematics" }
360. Let u = -30068/1007591 + h. Let o = 1/5272 - u. Calculate the common denominator of -31/3 and o. 30 Let y(w) = -w**3 - 11*w**2 - 9*w + 14. Let j be y(-10). Let p = j + 8. Calculate the smallest common multiple of 3 and p. 12 Suppose -i - 9 = -1. Let u = -6 - i. Find the common denominator of 41/11 and (-1 - u) + (-265)/(-30). 66 Let a = 15 + -11. Suppose -f = -3*d - 290 + 54, -211 = 3*d + a*f. What is the least common multiple of 7 and d/11*(-1 - 0)? 7 Suppose 67 = 4*p + 15. Let a = p - 1. Calculate the lowest common multiple of 11 and a. 132 Suppose -2*c = 3*k - 22, k - 16 = -4*c + 18. Let j = -25 + 31. Let y(b) = b**2 - 7*b + 8. Calculate the lowest common multiple of c and y(j). 8 Calculate the common denominator of ((-9)/6)/(((-990)/492)/11) and -143/150. 150 Suppose -3*u - 2*u - 4*c - 470 = 0, 0 = 3*u - 5*c + 245. Let n = u - -92. What is the lowest common multiple of 12 and n? 12 Suppose -2*x = 2*v - 14, -2*x + 3*v = -2*v + 7. What is the common denominator of (-10)/x + 4/20 and (-1 - -1) + (-213)/27? 90 Let y = 153 + -297. Let a = 219 + -227. What is the common denominator of 4/(-18) - (-742)/y and a? 8 Let o = -40399/196248 + -183/629. Calculate the common denominator of -13/24 and o. 312 Let u = 2 + 2. What is the least common multiple of 10 and u/(-2) - 96/(-3)? 30 Let g(i) = 3 + 5 - 3*i - 4 - 1. Suppose -4*p = -3*l - 9*p + 60, -60 = -3*l + 5*p. What is the lowest common multiple of g(-5) and l? 180 Let p = -121 - -141. Suppose 3*a + 2*z - 11 = 2*a, 4*a - 9 = -z. What is the lowest common multiple of p and (a - -1)*(1 - -8)? 180 Suppose -2*p - 245 = 3*p. Let s = 50 + p. Calculate the least common multiple of s and 22. 22 Suppose -5*l - x = -50, 0*l - 2*l + 3*x + 20 = 0. What is the least common multiple of l and (-5 - -4)/(4/(-28))? 70 What is the smallest common multiple of (7 - (-99)/(-18))/((-2)/(-232)) and 22? 1914 Suppose 0 = -7*u + 42 - 168. Find the common denominator of -71/12 and u/(-45) + (-1478)/120. 12 Let d = 23307/12112 + 10/757. Find the common denominator of d and 48/5. 80 Let z = 53/173 - 17327/39617. Find the common denominator of 57/5 and z. 1145 Let g = 14/376877 - 9654459229/30150160. Let w = 1652/5 + g. Let f = w + -471/16. Find the common denominator of -127/6 and f. 12 Let a = 31805396/46945 + -101988520529251/11079020. Let g = -9204897 - a. Let z = 84/59 + g. Calculate the common denominator of 31/14 and z. 28 Suppose -4*x - 7*f + 38 = -12*f, 25 = 3*x - 2*f. Calculate the least common multiple of x and 14. 14 Let j = 2 - 0. Suppose -2*f - 2*b - 6 = 0, 5*f + 3*b = j*b + 5. Calculate the least common multiple of 12 and f. 12 Find the common denominator of 25/9 and 4/6 - 146/(-114). 171 Suppose 245 = 5*s + 4*b, 207 = -2*s + 6*s + b. What is the common denominator of 18/(-27) - 49/2 and 8/12 - s/4? 12 Let n be 1/(-3)*18/11. Let o be (-6)/12*0/(-1). Let c = o + n. Calculate the common denominator of -25/3 and c. 33 Suppose 2*v + 16 = 2*g, g + 2*v = -0*g + 2. Let f = 145/168 - 5/21. Calculate the common denominator of (-21)/(-7) + (-55)/g and f. 24 Let x be (-1 - 0)/((-11)/55). Suppose -137 = -x*b - 7. Suppose -b = 5*w - 66. What is the lowest common multiple of w and 5? 40 Let m(p) = -p**3 - p + 23416. Let t be m(0). Let h = t + -772667/33. Calculate the common denominator of 23/18 and h. 198 Let s = -1088054 - -17420727/16. Let a = s + -743. What is the common denominator of a and 23/4? 16 Let i = 131 + -77. Let g = -4 + 8. What is the smallest common multiple of g and i? 108 Let f = -234253/24876 - -1/6219. What is the common denominator of f and 41/228? 228 Let s = -11637 - -163035/14. What is the common denominator of s and 109/20? 140 Suppose 0 = -4*d - 6 + 2. What is the smallest common multiple of 3 and (d + 1 - -14) + -1? 39 Let p(y) = y**2 - y - 8. Let o(q) = q**2 + 17*q - 8*q - 4*q. Let w be o(-6). Calculate the lowest common multiple of 12 and p(w). 132 Let t be (8 + 1122)*7/(-2). Let q = 10041769/2520 - 10147/360. Let d = t + q. What is the common denominator of -73/4 and d? 28 Let c = -19/82 - 1020/287. Calculate the common denominator of 3/11 and c. 154 Let c(v) = -v**3 + 4*v**2 + 5*v + 8. What is the least common multiple of 1 and c(5)? 8 Let w = -2470 - -2476. Calculate the lowest common multiple of w and 746. 2238 Let n = -26 - -29. Suppose -2*w = 3*w + 175. Calculate the common denominator of (2/n)/((-32)/198) and w. 8 Let k = 168 + -162. What is the lowest common multiple of 321 and k? 642 Let c be (-1 - 2)*4/6. Let x be c/8 + (-3)/(-12). Calculate the common denominator of -71/8 and x + (436/24 - 0). 24 Find the common denominator of 2823/952 + (-1 - 8 - -6) and -33/10. 4760 Let j = -643 + 2597/4. What is the common denominator of j and (1205/220 - 3) + (-5 - -3)? 44 Let i = 935 - 929. Calculate the lowest common multiple of 208 and i. 624 Let m = 657 - 647. What is the lowest common multiple of m and 528? 2640 Let x be (-3 + 5 - -2)/(5 + -3). Suppose -3*y - y = f - 83, -4*y + 86 = x*f. What is the lowest common multiple of 4 and y? 20 Suppose 0 = -15*y - 239 + 329. Calculate the smallest common multiple of y and 132. 132 Let k(l) = -l - 4. Let p = 55 - 60. Calculate the least common multiple of p/1 - -4 - -2 and k(-5). 1 Let w = 7600 + -1231205/162. Let a be (-9806)/12960 - (-3 - 36/(-15)). Let c = a + w. What is the common denominator of -49/10 and c? 80 Suppose 4*h - 1040 = -h - i, -2*i = -4*h + 846. Calculate the smallest common multiple of 10 and h. 2090 Let c = 17994 - 1079779/60. What is the common denominator of c and -89/72? 360 Let t = 68 + -15. Suppose s + 70 + 99 = -3*a, 3*s - t = a. Let k = -38 - a. What is the lowest common multiple of 10 and k? 90 Suppose 0 = 3*g + 5*s + 4, s = -3*g - g + 6. Suppose g*w = 4*c - 3687 + 905, -1376 = -2*c - 2*w. Calculate the common denominator of 3/(7/(c/(-12))) and 83/8. 8 Let a = -28121/8 - -3521. Find the common denominator of (-6)/(-10)*670/360 and a. 120 Suppose 2*f = -3*f + 75. Let x = 14515/6 + -2430. Calculate the common denominator of x and f/22*3/(-15). 66 Let f = -629/207 + -57/46. What is the common denominator of f and -91/2? 18 Let i = 292 + -28617/98. Find the common denominator of -127/12 and i. 588 Let i = 33/2738002 - 65929724241/421652308. Let f = -1109/7 - i. Calculate the common denominator of f and 29/20. 220 Suppose 2*g + 2*x - 18 = 0, 3*g - 23 = g - 3*x. Let k be 20*g/(3 + -7). What is the lowest common multiple of 4 and (k/(-25))/((-6)/(-75))? 20 Let r = 55761/8 + -6980. Let l = -17695 + 495405/28. Calculate the common denominator of r and l. 56 What is the lowest common multiple of 16 and (16/(-10))/((-19)/190)? 16 Let r(f) = 2*f + 16. Let u(o) = o + 8. Let g(y) = 2*r(y) - 5*u(y). What is the least common multiple of 6 and g(-14)? 6 Let w be (0 + -13019)*(-9)/(-24). Let c = -4874 - w. Find the common denominator of c and 6/5. 40 Suppose 16 = -3*y - 2. Let h = 457489/136540 + -4/6827. Calculate the common denominator of (y/12)/(9/127) and h. 180 Let f(r) = -r**3 + 16*r**2 - 21*r - 230. Suppose -u = -0 - 2. Calculate the least common multiple of f(6) and u. 4 Suppose 0 = -2*z + 6*z - 2*q - 836, 0 = -2*z - 2*q + 412. Let l = 55/6 + 7/3. Calculate the common denominator of 1 - -1 - z/32 and l. 2 Calculate the smallest common multiple of 77 and (4/(-12))/((28/(-792))/7). 462 Let q(j) = -j**2 - j + 22. Let a be q(11). Let r = a + 134. Calculate the least common multiple of 21 and r. 168 Let i be 4/18 - (-8960)/3339. Let o = -25829/371 + i. Let u = o - -5011/77. Find the common denominator of -11 and u. 11 Let w(r) = 17*r**2 - 228*r - 25. Calculate the smallest common multiple of w(14) and 95. 2185 Let n be 2308/6 + (-8)/12. Let f = -4 + 6. Find the common denominator of (-500)/n*f - -4 and -79/20. 240 Suppose 4*q - 29 = p, -q + 2*p = -0*p - 2. Let b = q - 26. Calculate the common denominator of (b/(-20))/(4/22) and -1/16. 80 Let h = 1456 - 602. Calculate the smallest common multiple of h and 22. 9394 Let p(r) = -3*r**2 - 4*r - 1. Let b be p(-2). Calculate the lowest common multiple of b*1/((-15)/6) and 6/4 + (-2)/(-4). 2 Suppose 84 = 2*u - 4*u. Let q = 17/9 - 511/18. Find the common denominator of (-18)/u + (-114)/70 and q. 10 Let p = 5268/13 + -115363/286. Let s = -13/7482 - 8009455/14964. Let m = -546 - s. Find the c
{ "pile_set_name": "DM Mathematics" }
e 13. -122 Convert 1010 (base 3) to base 10. 30 Convert 1011 (base 3) to base 5. 111 Convert 3 (base 7) to base 14. 3 Convert 11 (base 4) to base 8. 5 Convert -3 (base 10) to base 11. -3 What is f0 (base 16) in base 7? 462 Convert 0 (base 2) to base 7. 0 What is 7 (base 9) in base 2? 111 110 (base 2) to base 7 6 Convert -19 (base 16) to base 12. -21 Convert 2 (base 10) to base 12. 2 What is 18 (base 14) in base 15? 17 -310 (base 7) to base 10 -154 What is 110 (base 8) in base 9? 80 Convert 3 (base 8) to base 9. 3 Convert -12101 (base 3) to base 7. -265 What is 13b (base 14) in base 9? 306 Convert -2002 (base 3) to base 9. -62 Convert 33 (base 9) to base 15. 20 Convert 25 (base 12) to base 14. 21 What is -11 (base 6) in base 12? -7 Convert -3 (base 15) to base 16. -3 Convert 2 (base 5) to base 7. 2 Convert -43 (base 14) to base 10. -59 -27 (base 10) to base 16 -1b Convert -20 (base 7) to base 12. -12 -c9 (base 15) to base 7 -360 -215 (base 8) to base 3 -12020 2040 (base 5) to base 11 226 What is -40 (base 16) in base 14? -48 Convert 0 (base 16) to base 14. 0 1 (base 14) to base 11 1 Convert -15 (base 8) to base 2. -1101 Convert -d (base 15) to base 8. -15 -3 (base 7) to base 15 -3 Convert -6 (base 14) to base 4. -12 Convert 3 (base 4) to base 6. 3 Convert -2 (base 14) to base 11. -2 What is -2 (base 15) in base 10? -2 What is 15 (base 13) in base 15? 13 Convert 9 (base 14) to base 12. 9 Convert -19 (base 15) to base 3. -220 10 (base 2) to base 8 2 Convert -b (base 13) to base 2. -1011 0 (base 8) to base 2 0 Convert 2 (base 16) to base 3. 2 Convert -3 (base 10) to base 9. -3 What is 4 (base 10) in base 7? 4 -212 (base 3) to base 5 -43 Convert -3 (base 6) to base 7. -3 5 (base 11) to base 15 5 54 (base 7) to base 6 103 Convert -2110 (base 3) to base 10. -66 110010 (base 2) to base 8 62 -202 (base 7) to base 14 -72 What is 20 (base 7) in base 16? e What is -27 (base 12) in base 9? -34 What is 120202 (base 3) in base 8? 651 What is -123 (base 6) in base 11? -47 Convert -13 (base 12) to base 10. -15 What is 1 (base 16) in base 6? 1 -18 (base 11) to base 10 -19 -7 (base 11) to base 8 -7 -42 (base 16) to base 8 -102 -3 (base 14) to base 13 -3 What is 165 (base 13) in base 3? 100100 3 (base 9) to base 3 10 Convert -c (base 13) to base 8. -14 -18 (base 10) to base 16 -12 -40 (base 7) to base 8 -34 Convert -3 (base 14) to base 9. -3 What is -213 (base 6) in base 16? -51 What is 75 (base 9) in base 14? 4c 43 (base 6) to base 13 21 What is -26 (base 10) in base 8? -32 -2 (base 5) to base 6 -2 What is -3 (base 9) in base 13? -3 Convert 24 (base 9) to base 4. 112 What is 2 (base 13) in base 15? 2 What is -32 (base 6) in base 12? -18 Convert -29 (base 11) to base 7. -43 Convert 4 (base 5) to base 9. 4 Convert -4 (base 16) to base 15. -4 Convert 2a (base 16) to base 9. 46 2 (base 8) to base 14 2 What is 12 (base 13) in base 14? 11 -1 (base 4) to base 8 -1 Convert -2 (base 15) to base 9. -2 What is 142 (base 6) in base 9? 68 -2 (base 16) to base 6 -2 17 (base 15) to base 14 18 29 (base 15) to base 7 54 What is 4 (base 7) in base 9? 4 Convert -1 (base 3) to base 16. -1 What is 24 (base 6) in base 8? 20 What is 22 (base 10) in base 13? 19 What is -3 (base 5) in base 13? -3 Convert -10210 (base 3) to base 12. -86 14 (base 12) to base 8 20 -2 (base 3) to base 4 -2 Convert 254 (base 13) to base 11. 340 1012 (base 5) to base 4 2010 Convert -11220 (base 3) to base 15. -8c What is -58 (base 15) in base 16? -53 Convert 3 (base 6) to base 2. 11 Convert 2 (base 4) to base 5. 2 Convert 2 (base 8) to base 13. 2 What is -7 (base 13) in base 5? -12 11 (base 6) to base 16 7 Convert -7 (base 14) to base 7. -10 Convert -109 (base 15) to base 14. -12a -8 (base 16) to base 15 -8 What is 101 (base 2) in base 13? 5 -4 (base 6) to base 12 -4 Convert -103 (base 4) to base 5. -34 Convert 7b (base 14) to base 10. 109 2 (base 3) to base 2 10 32 (base 9) to base 5 104 What is 6 (base 16) in base 15? 6 What is 0 (base 13) in base 16? 0 146 (base 11) to base 5 1141 What is 101 (base 3) in base 16? a What is 20 (base 4) in base 7? 11 What is -11011 (base 2) in base 13? -21 Convert 11101 (base 3) to base 6. 314 1222 (base 3) to base 12 45 What is -6 (base 8) in base 15? -6 What is 4 (base 7) in base 3? 11 2 (base 16) to base 15 2 Convert e (base 15) to base 5. 24 What is -21 (base 13) in base 5? -102 What is -11 (base 12) in base 15? -d What is 170 (base 14) in base 8? 446 What is 222 (base 3) in base 7? 35 -120 (base 7) to base 9 -70 Convert 1a (base 16) to base 2. 11010 -36 (base 12) to base 3 -1120 62 (base 9) to base 3 2002 What is -b (base 14) in base 16? -b Convert 4 (base 14) to base 9. 4 Convert -13 (base 14) to base 3. -122 Convert -1 (base 2) to base 4. -1 Convert -6 (base 11) to base 12. -6 Convert 14 (base 14) to base 6. 30 What is -49 (base 13) in base 5? -221 What is 3 (base 5) in base 12? 3 What is 23 (base 7) in base 9? 18 What is 6 (base 9) in base 5? 11 What is -11110000 (base 2) in base 7? -462 What is 22 (base 12) in base 10? 26 Convert -451 (base 6) to base 15. -ba Convert -14 (base 15) to base 5. -34 What is -6 (base 8) in base 13? -6 Convert -320 (base 5) to base 12. -71 What is 42 (base 13) in base 16? 36 Convert -1033 (base 4) to base 7. -142 Convert 512 (base 8) to base 16. 14a Convert -1 (base 3) to base 14. -1 Convert -15c (base 13) to base 16. -f6 -36 (base 9) to base 15 -23 -41 (base 11) to base 15 -30 Convert 212 (base 3) to base 11. 21 What is 3012 (base 5) in base 15? 1a7 -11100001 (base 2) to base 12 -169 -18 (base 13) to base 5 -41 Convert -ba (base 12) to base 10. -142 Convert 0 (base 11) to base 10. 0 Convert -8 (base 12) to base 4. -20 Convert -5 (base 12) to base 3. -12 Convert -2 (base 9) to base 12. -2 -1 (base 16) to base 15 -1 Convert -6 (base 7) to base 8. -6 12 (base 16) to base 10 18 Convert -2b (base 13) to base 15. -27 What is 10111 (base 2) in base 9? 25 Convert 1120 (base 3) to base 2. 101010 Convert 1 (base 9) to base 4. 1 What is 3 (base 15) in base 6? 3 What is 2d (base 16) in base 12? 39 -6 (base 15) to base 5 -11 What is -11 (base 5) in base 14? -6 What is 2 (base 6) in base 7? 2 2 (base 7) to base 14 2 Convert 2102 (base 4) to base 10. 146 -5 (base 15) to base 13 -5 -1 (base 6) to base 15 -1 What is -4 (base 16) in base 12? -4 What is 213 (base 5) in base 7? 112 -2 (base 12) to base 5 -2 What is -110000100 (base 2) in base 13? -23b -11 (base 7) to base 9 -8 What is 5 (base 10) in base 12? 5 What is -4 (base 11) in base 9? -4 Convert 140 (base 8) to base 5. 341 Convert -201 (base 3) to base 4. -103 5f (base 16) to base 14 6b -6 (base 9) to base 11 -6 -106 (base 12) to base 15 -a0 -71 (base 11) to base 16 -4e What is -3 (base 5) in base 3? -10 Convert 7 (base 16) to base 2. 111 Convert 1 (base 5) to base 3. 1 What is -12 (base 13) in base 9? -16 What is 5 (base 15) in base 10? 5 Convert -4 (base 11) to base 16. -4 -201 (base 5) to base 2 -110011 Convert -56 (base 8) to base 14. -34 -100121 (base 3) to base 11 -216 What is 1010 (base 2) in base 3? 101 What is 112 (base 5) in base 4? 200 What is 3 (base 14) in base 2? 11 Convert 0 (base 3) to base 15. 0 Convert 11 (base 9) to base 12. a What is 2 (base 5) in base 4? 2 380 (base 10) to base 7 1052 What is -1211 (base 3) in base 16? -31 4 (base 12) to base 6 4 What is 21011 (base 3) in base 8? 301 -2 (base 13) to base 15 -2 -1 (base 3) to base 8 -1 What is -2 (base 16) in base 3? -2 What is 5 (base 10) in base 15? 5 9 (base 14) to base 4 21 -50 (base 14) to base 13 -55 What is -361 (base 9) in base 14? -174 -19 (base 16) to base 9 -27 Convert -2 (base 3) to base 8. -2 Convert 2 (base 9) to base 7. 2 0 (base 6) to base 12 0 What is -10 (base 6) in base 2? -110 152 (base 11) to base 16 b2 29 (base 11) to base 10 31 Convert 11 (base 16) to base 12. 15 a (base 12) to base 9 11 -2 (base 5) to base 4 -2 What is -6 (base 16) in base 2? -110 What is -5 (base 12) in base 14? -5 Convert 196 (base 12) to base 9. 316 What is 4 (base 10) in base 4? 10 -341 (base 5) to base 3 -10120 Convert 3 (base 15) to base 12. 3 -51 (base 12) to base 9 -67 -2010 (base 3) to base 4 -321 What is -72 (base 8) in base 15? -3d Convert 2043 (base 5) to base 2. 100010001 Convert 454 (base 6) to base 13. 109 Convert 122 (b
{ "pile_set_name": "DM Mathematics" }
. Let n be c(6). Suppose n = 35*x - 31*x. Is x composite? False Let y = 61223 + -19902. Is y composite? True Suppose -4*s + 108 = 5*s. Suppose 0 = 42*b - 45*b + s. Suppose 0*v + 2*c = 3*v - 5121, 0 = b*c - 12. Is v prime? True Suppose 0 = 3*d - 3*c - 42, -2*d + 5*c - 3 + 46 = 0. Let l(k) = 13 + d + 12 - 15 - k**2 - 8*k. Is l(-8) a prime number? True Suppose 5*j = -5*q + 3445, -5*q - j = -4369 + 924. Let r = q + -1101. Let b = 1665 + r. Is b composite? True Let q = 18194 + -12127. Let w = q - 3684. Is w composite? False Let i = 8 - 11. Let a be (1 + (-151)/i)*(1 - 10). Is 4 + (7/(-2))/(3/a) prime? False Let a(s) = s**3 + 4*s**2 - 9*s + 13. Let k be a(-6). Let m(l) = -8*l + 11. Let c be m(k). Let z = -37 + c. Is z a composite number? True Let v be -1*1/1 + 6467250/150. Suppose 0 = -13*r + 3543 + v. Is r a composite number? True Let g be 2*25/(-2)*(-1)/5. Suppose -8*y + 11*y - g*s = 235, -3*s = 2*y - 182. Is y prime? False Suppose -36*q + 35*q + 156819 = 5*r, 3*q + 4*r - 470435 = 0. Is q a prime number? False Suppose 26*q + 303439 = 53*q - 470975. Is q a prime number? False Suppose 0 = 46*i - 39*i - 236173. Is i prime? True Let v(y) = 23*y**2 + 21*y - 7. Let p be v(9). Suppose 2052*r - p*r = 84567. Is r prime? False Let h(j) = -102*j**3 - j. Let d be h(-1). Suppose 3*o - 1474 = -d. Suppose 208 + o = 5*m. Is m prime? False Let v = -218217 + 580178. Is v prime? True Let d(q) = 5714*q - 89. Let u(r) = -1905*r + 31. Let b(l) = -6*d(l) - 17*u(l). Is b(-5) composite? True Let i = 115 - 34. Suppose 77*k = i*k - 7940. Is k composite? True Let n = 78893 + -41954. Let j = -24152 + n. Is j a composite number? True Let r = 426037 - -521826. Is r a prime number? False Suppose 5*b + 1 = -2*q + 8, -3*b - 3*q - 3 = 0. Suppose 7*m + 9 = 4*m, -b*m - 1236 = -3*s. Is s prime? True Let c(x) = -5844*x**3 - x**2 + 2*x - 3. Let w be c(1). Let p = -1755 - w. Is p prime? True Suppose 0 = 12*i - 10*i + 4. Let p be i/(-2)*(0 + 2239). Let k = -86 + p. Is k composite? False Let o(w) = 251*w**2 + 26*w - 215. Is o(12) prime? True Let w(c) = 163*c + 6. Let g = -120 + 124. Suppose 2*q - 10 = g. Is w(q) prime? False Let h be 1313118/48 + (-3)/(-8). Is (-1)/(6/4*(-22)/h) prime? True Let k(q) = 237*q**2 - 10*q + 14. Suppose -3*x - 3*z = -15, -5*x - 13*z + 12*z + 41 = 0. Is k(x) a composite number? False Suppose -12*h = -26*h + 26572. Is h + (72/(-6))/(-4) a prime number? True Let u be 1*-5*15/15. Let z be -3 - 3996/(-4) - u. Suppose 4*q - 765 - z = -2*y, -4*y + 3556 = -4*q. Is y prime? True Let j be (-92)/10 - 5/(-25). Let v be 56/10 + j/15. Suppose v*o = 817 + 768. Is o a composite number? False Suppose 81*w = 4513882 + 5148689. Is w prime? True Suppose -3*g = f + 3*f + 293, -g = -2*f - 159. Let w = -228 + f. Let b = 824 + w. Is b prime? False Let p = 216531 - 104872. Is p composite? False Suppose 0 = 216*b - 255*b + 37653135. Is b prime? False Let h = -242 + 242. Suppose 0 = 3*o, -2221 = -g + 4*o - h*o. Is g composite? False Suppose -2*f = -x + 2*x - 17223, 0 = f + 4. Is x a prime number? True Let r = -728313 - -1528276. Is r a prime number? False Suppose 5*d + 7 - 22 = 0. Suppose -3*z = d*z - 4482. Suppose -l + 3770 = 5*h + 2*l, h + 2*l = z. Is h prime? True Let z = -37 + 42. Suppose 6 = 3*b + 3*f, -2*b - 10 = 2*b - z*f. Suppose b = 8*d - 2*d - 1518. Is d a prime number? False Suppose 3*f = 3, -h + 4*f = 2*f + 1. Let b be (h + 0 - 2) + 345. Let t = -201 + b. Is t composite? True Suppose -8*o + 4*o = -12. Let p(z) = 841*z - 13. Let u be p(o). Let t = -1451 + u. Is t composite? True Suppose 13*t + 191 - 1114 = 0. Suppose -5*m + 4*n = -11801, n + 4718 = -69*m + t*m. Is m prime? True Let h = 357160 - 251682. Is h/15 - -1 - (-4)/30 composite? True Let k be 4/(-8)*(6/3 + -2). Suppose k = 2*h - 4, -h - 4302 + 337 = -r. Is r composite? False Let n = -702789 + 988726. Is n a composite number? False Let z = 81 - 79. Let r(u) = -345*u + 2. Let h be r(-1). Suppose -4*i = -p + 6*p - h, z*p - 2*i = 128. Is p prime? True Suppose 0 = -6*t + 74098 - 9268. Is t a prime number? False Let o(h) = -7*h + 45. Let s be o(5). Is 114 + s - 2/(-4)*6 a prime number? True Let f(q) = 133897*q - 10. Is f(3) a prime number? False Suppose -3*u = -14 - 16. Suppose -5*h = -u, 5*r + 6*h = 3*h + 11351. Is r a composite number? False Let y = -55 + 102. Let c = -47 + y. Suppose 3*h - h - 2206 = c. Is h a prime number? True Let t(f) = 19*f**3 - 2*f**2 + f - 2. Let o(k) = k**2 + 14*k + 15. Let d be o(-13). Let i be t(d). Suppose 3*n = i + 147. Is n composite? False Let t(y) = 1105*y**3 - 2*y**2 + 3*y - 10. Let n be t(4). Suppose -20025 = 5*s - n. Is s composite? False Suppose 2*w = w - 2*b + 3826, -3822 = -w + 2*b. Suppose t - 5*t + w = 0. Let p = t - 477. Is p prime? True Suppose 0 = -4*f - 6 + 10. Let r be 1 + f*(-1 + 2). Suppose r*a - 1706 + 396 = 0. Is a a prime number? False Suppose 0 = -3*f + 2*z - 33, z + 11 = -2*f - 4. Let x(i) = -5*i**3 + 9*i**2 + 6*i - 8. Let l be x(f). Let n = l + -2831. Is n composite? False Let n(b) = b**2 - 4*b - 18. Let s be n(-4). Let i be (-6)/(-21) - (-38)/s. Suppose -5*v = -2*v + 4*z - 910, -1204 = -4*v - i*z. Is v a prime number? False Let k be ((-6)/9)/((-1)/(30/(-4))). Let r(c) = 3*c**2 + 8*c - 46. Let j(s) = 2*s**2 + 5*s - 31. Let h(m) = 7*j(m) - 5*r(m). Is h(k) a composite number? False Let i(t) = 71*t + 14. Let r(g) = -2*g. Let w(b) = -i(b) - 6*r(b). Is w(-23) a prime number? False Is (-9)/(9/(-45)*-5) + 109270 a composite number? True Suppose -3*p - 33 = -3*j, -4*j = 17*p - 16*p - 19. Let r(w) = 4*w**2 - 29*w + 49. Is r(j) a composite number? False Suppose h = 2*r + 22621, 5*h + 2*r = -2*r + 113147. Is (-1)/((-2)/(-12) - h/135366) composite? True Let r(z) = -15*z**3 - 18*z**2 + 8*z - 15. Let p be (-15)/45*(-1 - -25). Is r(p) a composite number? False Suppose -h = 11*u - 8*u - 45559, 0 = u - 3*h - 15193. Is u prime? True Let g(t) = -12*t**3 + t**2 + t. Let o be g(-1). Let z be ((-872)/o)/(4/(-72)). Suppose z - 169 = 3*p + 4*x, -3*p + 4*x = -1123. Is p a prime number? False Suppose -5*n + 32 - 17 = 0, 3*l - 5*n + 44694 = 0. Let s = 25220 + l. Is s a composite number? True Suppose 96*r + 31*r - 16614689 = 36*r. Is r a composite number? False Let q(d) = 573*d - 191. Is q(36) composite? True Suppose 357*i - 12965969 = -22*i. Is i a composite number? False Let l be 3 - (1/(-2)*6 - -2). Suppose -24370 = -6*v - l*v. Is v prime? True Let q(x) = x**3 - 10*x**2 - 79*x + 73. Is q(48) prime? True Suppose 0 = -5*r + 4*w + 436, -2*w = -2*r - 3*w + 164. Suppose -3*p = -7*p - r. Is ((-402)/(-9))/((-8)/p)*4 prime? False Let j be (48/40)/((-6)/(-100)). Suppose -4*f - 13388 + 1127 = -5*v, 5*f + j = 0. Suppose -2*b = -v - 605. Is b composite? True Let c = -43 + 161. Suppose k + k = -c. Let z = 105 + k. Is z a composite number? True Let x = 267 + -263. Suppose x*s - 3*p - 6512 = 0, 1182 = 2*s - 5*p - 2060. Is s a prime number? False Let t be ((-56)/(-10))/(3/285*1). Suppose d - t = 3*n, 5*d - n - 538 = 4*d. Is d a prime number? True Let d(a) = 7*a - 18. Let t be d(3). Suppose t*r - 5*h - 79 = -10*h, -4*h = r - 38. Suppose 25*m = r*m + 14371. Is m prime? True Suppose 0 = 4*j - 2*j + 4. Let p be (22/11)/((-5)/(-2) + j). Suppose p*t = a - 1625, a + 5*t = 2*a - 1623. Is a a prime number? False Suppose g - 1166 = -a, -2*g + 5*g + 4*a - 3502 = 0. Suppose -3*d + g = 151. Is d a composite number? False Let m(i) = -19*i**2 - 6*i - 23*i - 95 + 38*i**2. Is m(-10) a prime number? False Let b = 239555 - 129136. Is b prime? True Let v(z) = 46*z + 8. Let q be v(-1). Let n be 2 - 3/(2 - q/(-16)). Let f(k) = 4*k**3 - 9*k**2 + 9. Is f(n) a composite number? False Suppose -2322 = -429*v + 423*v. Let g = -188 + v. Is g a composite number? False Let f(h) = -21*h**2 - 9*h - 33. Let o(k) = 4*k**2 + k - 1. Let x(v) = -f(v) - 4*o(v). Is x(-15) a prime number? True Let i(w) = 190*w**2 + 456*w - 297. Is i(-35) composite? False Suppose 11*u - 12*u = -4. Suppose -2*c - 1443 = -u*p + 6525, 3*c - 2*p = -11964. Let m = -2785 - c. Is m prime? False Let q(u) = -2721*u**3 - 10*u**2 - 20*u - 28. Is q(-3) a prime number? False Suppose -3*x = 5*u - 34, 0*x - x = -2*u + 7. Let p = -644 - -1613. Suppose 936 = u*v - p. Is v prime? False Let h(k) = -2 - 2 + 2 - k. Let t be h(-8). Suppose -t*s + 10*s = 3252. Is s a composite number? Tru
{ "pile_set_name": "DM Mathematics" }
20 In base 4, what is -23332023013 - 0? -23332023013 In base 11, what is 97 - -498? 584 In base 11, what is -3 + 1154? 1151 In base 7, what is -3 + -541554? -541560 In base 12, what is 0 + -1286? -1286 In base 14, what is -4 - 6299? -629d In base 12, what is 28b453 + -1? 28b452 In base 11, what is -a21 - -22? -9aa In base 9, what is 1 + -264424? -264423 In base 11, what is -31 - 440? -471 In base 12, what is 4 - 5b5b? -5b57 In base 2, what is -101 + 11000101? 11000000 In base 11, what is 36 + -3255? -321a In base 2, what is -1100100 + 1011110? -110 In base 8, what is 10030 - 51? 7757 In base 8, what is 363 - -616? 1201 In base 16, what is 0 + -e516? -e516 In base 10, what is -10 - 1419? -1429 In base 9, what is -112 + 575? 463 In base 8, what is 4 - 7375? -7371 In base 7, what is 134452 + 1? 134453 In base 10, what is 0 + 578803? 578803 In base 16, what is -3 + 1598? 1595 In base 9, what is -26 - -12858? 12832 In base 15, what is 320c + 4? 3211 In base 13, what is 19 - 83b? -822 In base 12, what is 4 + 21384? 21388 In base 10, what is -8132 + -89? -8221 In base 10, what is 6484 + 25? 6509 In base 12, what is -5a - 20ab? -2149 In base 8, what is -14201 + 30? -14151 In base 6, what is 200 - 535? -335 In base 5, what is -3033233413 - 0? -3033233413 In base 5, what is 1203 - -141222? 142430 In base 4, what is -23 + -1203023? -1203112 In base 3, what is 212010110 - -11? 212010121 In base 9, what is -117 - -253? 135 In base 16, what is 28 + -9b46? -9b1e In base 6, what is 10005 + 43? 10052 In base 14, what is 7 + -993? -98a In base 10, what is -480 - 13? -493 In base 12, what is 7b66 + 86? 8030 In base 7, what is -3 + -200656? -200662 In base 10, what is -4 - -26560? 26556 In base 11, what is -44 + 489? 445 In base 11, what is 10 - 1898? -1888 In base 15, what is 2a7 - -11? 2b8 In base 12, what is 14 - -3a765? 3a779 In base 10, what is -20651 - 91? -20742 In base 3, what is -2 + -102202001122? -102202001201 In base 8, what is -3711 - 643? -4554 In base 9, what is -6242 + -211? -6453 In base 5, what is -1022242 - -3? -1022234 In base 4, what is -1 + -10110010? -10110011 In base 4, what is 20 + -1000130011? -1000123331 In base 6, what is -33 - 253420? -253453 In base 10, what is -4 - -15426? 15422 In base 12, what is 18 - 1728? -1710 In base 11, what is -5 - -25569? 25564 In base 11, what is -29 - 2a80? -2aa9 In base 11, what is 568 - 26? 542 In base 5, what is -14 - 241031? -241100 In base 12, what is 135 + 80a1? 8216 In base 13, what is 2126 - a? 2119 In base 10, what is -136 + 3834? 3698 In base 13, what is -2 - -60387? 60385 In base 12, what is -16 + 169418? 169402 In base 6, what is 452 + -12355? -11503 In base 12, what is 1a9 - -1a8? 395 In base 13, what is -7cc0b - -3? -7cc08 In base 10, what is -3 - -93004? 93001 In base 10, what is 4 - 6404? -6400 In base 6, what is 5 + -515240? -515231 In base 15, what is 1a7 + 6db? 893 In base 7, what is 66 + 14443? 14542 In base 4, what is -122023 + -110? -122133 In base 8, what is 5366 + -116? 5250 In base 2, what is -1000011001 - 11011010101? -100011101110 In base 13, what is -1 + 37695? 37694 In base 3, what is -1221210011 - -2222? -1221200012 In base 5, what is 4 - 124420? -124411 In base 6, what is 404 - 22502? -22054 In base 13, what is 225 - 3a00? -37a8 In base 9, what is 320 + -3728? -3408 In base 8, what is -214375 + 41? -214334 In base 15, what is -48a + -1d? -4a8 In base 16, what is -5 - 13fe0? -13fe5 In base 5, what is 230333000 - -1? 230333001 In base 2, what is 111111 - -10011101001? 10100101000 In base 16, what is -3 + -11315e? -113161 In base 13, what is 5 + -176275? -176270 In base 7, what is -133052 + -65? -133150 In base 2, what is 111 + 10100011111110? 10100100000101 In base 5, what is 10022403 + -33? 10022320 In base 5, what is -40 + -22000? -22040 In base 3, what is 21 - 1110? -1012 In base 9, what is -545800 - 25? -545825 In base 12, what is -396576 - 3? -396579 In base 9, what is 11 + -32543? -32532 In base 9, what is 8821 - 4? 8816 In base 12, what is 0 + -6196b? -6196b In base 11, what is 5 - 26a54? -26a4a In base 7, what is -3 + 104636? 104633 In base 2, what is 1 + 10010111101100? 10010111101101 In base 10, what is 3323 - 15? 3308 In base 3, what is -110 + 220202201120? 220202201010 In base 11, what is 2a76 + 6? 2a81 In base 6, what is 1300233 + 2? 1300235 In base 14, what is -580 - 141? -6c1 In base 6, what is 5 - -50402? 50411 In base 4, what is 12 + 110113332? 110120010 In base 3, what is -200012020 - -11? -200012002 In base 3, what is 10 + 10200100021? 10200100101 In base 6, what is 1434 + -1131? 303 In base 11, what is -5 - -29675? 29670 In base 14, what is 4 - -a195? a199 In base 15, what is 45 - -169? 1ae In base 14, what is 10da + 43? 113d In base 11, what is 1 - -1812? 1813 In base 10, what is -1307085 - -1? -1307084 In base 3, what is -12 + 2001011200? 2001011111 In base 2, what is 1010001111011000010 + 101? 1010001111011000111 In base 3, what is 2 - -100020102220? 100020102222 In base 10, what is 4 - -1451514? 1451518 In base 2, what is 10 + -1110111011? -1110111001 In base 4, what is 103321 - 20? 103301 In base 9, what is 37 + 137344? 137382 In base 9, what is -4 - 403888? -404003 In base 12, what is 2 - -62a7? 62a9 In base 10, what is 370 - 213? 157 In base 6, what is -42 + 4541? 4455 In base 9, what is -10 + -203781? -203801 In base 13, what is -21 + 140? 11c In base 11, what is 5130a2 - 0? 5130a2 In base 10, what is 29 - 7755? -7726 In base 6, what is -3224 + 10? -3214 In base 2, what is 11000010101 - 111001? 10111011100 In base 8, what is 165 - 541? -354 In base 8, what is -5 + 1122346? 1122341 In base 3, what is -11220212 - -120? -11220022 In base 15, what is 1 + -6251? -6250 In base 12, what is -1915 + -4? -1919 In base 4, what is -3223203 + -1? -3223210 In base 10, what is -717 - -1569? 852 In base 14, what is 645 - -d? 654 In base 15, what is -122a - 1? -122b In base 2, what is 11 - 111010011001011? -111010011001000 In base 14, what is -509498 + -1? -509499 In base 14, what is -1295c0 - 2? -1295c2 In base 12, what is 62 + -82? -20 In base 12, what is 8 + -b12? -b06 In base 2, what is -10101011000100 + -101110? -10101011110010 In base 13, what is 2 + 4ca024? 4ca026 In base 3, what is -1010011111 + -11? -1010011122 In base 13, what is 1c38a5 + -2? 1c38a3 In base 5, what is -13301 + 20020? 1214 In base 8, what is -605 + -6? -613 In base 6, what is 2204523 + 13? 2204540 In base 5, what is -3124112 - 123? -3124240 In base 3, what is 2200111 - -2111? 2202222 In base 2, what is -11010100101011110110 - 100? -11010100101011111010 In base 5, what is -24 - 2031330? -2031404 In base 7, what is 1162 - -120? 1312 In base 13, what is 28 + -2c4b? -2c23 In base 14, what is 0 + -d8? -d8 In base 8, what is -5 + -20113? -20120 In base 9, what is -3 - 840217? -840221 In base 12, what is 33 - 472? -43b In base 4, what is 13 + 10213212? 10213231 In base 13, what is -830 + 48a? -373 In base 5, what is 44 - -2314141? 2314240 In base 16, what is -7 + -23a83? -23a8a In base 7, what is 5 + -131212? -131204 In base 5, what is 2330211 - -20? 2330231 In base 7, what is -2 + 1440322? 1440320 In base 12, what is -368 + 45a4? 4238 In base 14, what is -3 + -14308a? -14308d In base 12, what is 22182 + 14? 22196 In base 5, what is 1 + 41332322? 41332323 In base 11, what is 17a00a + 4? 17a013 In base 16, what is 4 + -26aa? -26a6 In base 4, what is -10112 + 100210? 30032 In base 9, what is -3463026 + -1? -3463027 In base 2, what is 11000001 + 1100100001? 1111100010 In base 16, what is -170e4 + 3? -170e1 In base 6, what is 1101243 + -5? 1101234 In base 2, what is -11100000101 - -11110000? -11000010101 In base 9, what is 35303 + 1? 35304 In base 16, what is -36ad + 4? -36a9 In base 14, what is 58d - -5? 594 In base 4, what is 2032010 + 0? 2032010 In base 2, what is 101 - -11101101100011? 11101101101000 In base 7, what is 554 - -24300? 25154 In base 8, what is -3 + 217162? 217157 In base 12, what is -4783 + -26? -47a9 In base 9, what is -4081165 + -2? -4081167 In base 13, what is -5796b4 + 3? -5796b1 In base 7, what is -35606 - -5? -35601 In base 16, what is 434c5 + 9? 434ce In base 3, what is 112220012 - 10001? 112210011 In base 4, what is -11310330 - 12? -11311002 In base 2, what is 10001 - -1
{ "pile_set_name": "DM Mathematics" }
35. Give r(a(z)). 5*z**2 - 35 Let q(k) = -6*k. Let m(c) = -16*c. Determine m(q(d)). 96*d Let c(l) = -21*l**2. Let v(j) = 18*j + 8. Give v(c(p)). -378*p**2 + 8 Let m be 1*(1 - -2) + -1. Let j = 7 + -5. Let h(n) = m*n**2 + n - n + n**j. Let u(r) = -r. Determine h(u(t)). 3*t**2 Let c(x) be the first derivative of -x**3/3 + 9. Let l(y) = 25*y**2. Determine l(c(r)). 25*r**4 Let a(z) = 6*z + 5. Let m(f) = 5*f + 4. Let b(r) = -4*a(r) + 5*m(r). Let p(j) = 21*j. Determine p(b(w)). 21*w Let w(n) = -n - 45 + 23 + 22. Let y(u) = u + 3 + 0 - 6. Let f(a) = 4*a - 13. Let s(q) = 6*f(q) - 26*y(q). Give s(w(j)). 2*j Let c(k) be the third derivative of -k**6/80 + k**4/24 - 3*k**2. Let v(t) be the second derivative of c(t). Let f(j) = 2*j. Determine v(f(n)). -18*n Let r(j) = -j**2 - 2. Let i be ((-2)/5)/(7/(-35)). Let b(k) = 5*k**2 + 11. Let v(h) = i*b(h) + 11*r(h). Let f(c) = 3*c. What is f(v(m))? -3*m**2 Suppose -18 = u + 4*c, 5 - 25 = -5*u + 2*c. Let o(h) = u*h + 0*h + 4*h - 4*h. Let n(p) = -15*p**2. Calculate o(n(s)). -30*s**2 Let o(v) = 5 - 6 + 1 - v. Let u(s) = -17*s**2 - 5*s + 5. Let k(p) = -26*p**2 - 7*p + 7. Let f(m) = -5*k(m) + 7*u(m). Determine o(f(q)). -11*q**2 Let h(u) = -3*u - 8. Let f(j) = j + 3. Let m(k) = -8*f(k) - 3*h(k). Let z(y) be the second derivative of -y**4/2 - 4*y. Determine m(z(g)). -6*g**2 Let g = 45 - 42. Let i(j) be the third derivative of 1/20*j**5 + 0*j + 0*j**4 + 0*j**3 + g*j**2 + 0. Let o(f) = f**2. Determine o(i(v)). 9*v**4 Let r(z) = 23*z**2 - 10*z**2 - 4*z**2. Let t(l) = 2*l. Calculate t(r(u)). 18*u**2 Let x(t) = 0*t + 15*t + 2 - 2. Let p(d) be the second derivative of d**4/12 + 25*d. Determine p(x(r)). 225*r**2 Let q(b) = -4*b**2 + 4. Let x(m) = -m. Determine q(x(d)). -4*d**2 + 4 Let f(v) = -3*v - 4. Let h(i) = -6*i - 7. Let x(y) = 7*f(y) - 4*h(y). Let n be (-1 - 0)*-6 - 2. Let s(a) = 2*a**2 - n*a**2 - a**2. Calculate s(x(c)). -27*c**2 Let b(y) = 33*y**2 + 11*y + 11. Let c(m) = -11*m**2 - 4*m - 4. Let w(z) = 4*b(z) + 11*c(z). Let l(u) = 3*u. Calculate l(w(j)). 33*j**2 Let p(b) be the second derivative of -b**4/6 - 9*b. Let v(a) = -5*a**2. Give p(v(l)). -50*l**4 Let k(j) = -7 + 11 - 4 - 9*j. Let q(m) = -m**2. Determine k(q(o)). 9*o**2 Let i(g) = -3*g. Let w(l) = l + 17. Determine w(i(x)). -3*x + 17 Let c(q) be the second derivative of 0 + 1/4*q**4 + 5*q + 0*q**3 + 0*q**2. Let v(r) = r**2. Give v(c(f)). 9*f**4 Let w(p) be the third derivative of -p**5/60 - p**2. Let o(t) be the first derivative of t**2/2 + 12. Give w(o(j)). -j**2 Let z(p) = 9*p**2. Let j(f) = 2*f + 0*f + 385 - 385. Calculate j(z(h)). 18*h**2 Let k(t) = -2*t. Let r(u) = u. Let x(h) = 2*h + 4 + 5*h**2 - 4. Suppose -13 = -4*g - 9. Let m(s) = g*x(s) - 2*r(s). Determine k(m(l)). -10*l**2 Let k(g) be the second derivative of g**3/3 + 2*g. Let c(p) be the first derivative of -7*p**2/2 + 1. Determine k(c(b)). -14*b Let r(n) = 98*n**2. Let c(y) = -25*y**2. What is c(r(p))? -240100*p**4 Let b(y) = 2*y**2. Let v = -17 - -11. Let h be (-4)/v + (-40)/(-12). Let i(u) = 7 + h*u**2 - 7. Give b(i(k)). 32*k**4 Let o(q) = -2*q**2. Suppose -y - 1 = -2, 4*v - 4 = -4*y. Let i be 0 + (-2)/4*0. Let d(r) = v + i - r**2. What is d(o(l))? -4*l**4 Let q(c) = 88*c**2. Let k(x) = -2*x**2. What is k(q(f))? -15488*f**4 Let p(z) be the second derivative of z**3/6 - 9*z. Let q(o) = -2*o + 2*o + o. What is q(p(t))? t Let c(h) = -5*h**2. Let n(j) = 4*j + 3*j + 6*j - 27*j. Determine n(c(f)). 70*f**2 Let b(r) = 8*r - 8. Let k be b(7). Suppose 0 = -2*m + 2*q + 34, 4*m - q = -2*q + k. Let i(f) = -m + 6 + f + 7. Let g(t) = 4*t. Give i(g(u)). 4*u Let m(j) = -31*j. Let u(p) = -4*p. What is u(m(r))? 124*r Let i(g) = -68*g**2 + 1. Let v(w) = -w. Give v(i(b)). 68*b**2 - 1 Let c(o) = -12 + 6 + 8. Let t(m) = m + 3. Let g(i) = 3*c(i) - 2*t(i). Let d(p) = -9*p. What is d(g(f))? 18*f Let d(n) = -n. Let r(i) = 16*i**2 + 5*i. Determine d(r(s)). -16*s**2 - 5*s Let p(i) be the third derivative of -5*i**4/24 + i**2. Let x(w) = 158*w - 52*w - 55*w - 52*w. Give p(x(j)). 5*j Let w(i) = -4*i. Let p(v) = v**3 - v**2 + 2. Let k be p(0). Let a(u) = -3*u**k - 2*u + u**2 + 2*u. Determine w(a(c)). 8*c**2 Let h(b) = 23*b. Let n(l) = 19*l**2. Determine h(n(t)). 437*t**2 Let k(h) = 4*h**2 + 3*h + 3. Let p(j) = 3*j**2 + 2*j + 2. Let m(w) = -2*k(w) + 3*p(w). Let o(q) = 5*q**2. Calculate m(o(n)). 25*n**4 Let o(g) = -1. Let l(u) = 23*u - 1. Let d(v) = l(v) - 3*o(v). Let c(f) = -f**2. What is c(d(z))? -529*z**2 - 92*z - 4 Let t(n) be the third derivative of n**4/24 - n**2. Let o(j) = -3*j. Calculate o(t(v)). -3*v Suppose 4*f + 15 = 7*f. Let w(o) be the third derivative of 0*o + 0 + 1/20*o**f + 0*o**4 + 2*o**2 + 0*o**3. Let b(a) = -a**2. What is b(w(z))? -9*z**4 Suppose 2*x - 3*x + 13 = 0. Let c = x - 8. Let i(f) = -2*f - c*f + 5*f. Let l(a) = -2*a**2. What is i(l(u))? 4*u**2 Let i(v) = 3*v**2. Let o(j) be the first derivative of j**4/6 - 5*j**2/2 - 2. Let k(h) be the second derivative of o(h). Calculate k(i(r)). 12*r**2 Let c(z) = 4*z. Let y be (42/(-27))/((-4)/6) + -2. Let s(l) be the first derivative of 0*l**2 - 2 + 0*l - y*l**3. Give c(s(k)). -4*k**2 Let y(j) = j**2. Let r(i) = 8*i**2 + 11*i**2 - 5*i**2. What is r(y(z))? 14*z**4 Let b(s) = -3*s**2. Let w(g) = 135*g**2 + 1. Give b(w(u)). -54675*u**4 - 810*u**2 - 3 Let b(d) = -d**2 - 4*d. Let s(v) = -2*v. What is s(b(m))? 2*m**2 + 8*m Let r(s) = -6*s. Let c(q) = -19*q**2. What is c(r(b))? -684*b**2 Let w(x) = 13*x**2. Let g(y) = 6*y**2 - 1. Determine g(w(h)). 1014*h**4 - 1 Let f(l) = 72*l. Let h(s) = 41*s**2. Calculate f(h(q)). 2952*q**2 Let g(m) = 2*m. Let o(h) = 435*h**2. Determine g(o(t)). 870*t**2 Let y(v) = 305*v. Let j(z) = -2*z**2. Give y(j(o)). -610*o**2 Let d(c) = 3*c**2. Let h(f) be the third derivative of -1/60*f**5 - 2*f**2 + 0*f**4 + 0*f + 0 + 0*f**3. What is h(d(q))? -9*q**4 Let r(o) = 2*o. Let k(p) = 1106*p**2. What is k(r(a))? 4424*a**2 Let c(y) = -10*y**2. Let w(b) = -b**2 + 1. Let r(s) = -7*s**2 + 8. Let k(g) = 5*r(g) - 40*w(g). Calculate k(c(o)). 500*o**4 Let u(f) = -3*f - 4*f - 1 + 3*f. Let y be u(-1). Let v(l) = -7*l + 3*l + y*l. Let d(s) = -2*s**2. Give v(d(m)). 2*m**2 Let p(g) = -3*g**2. Let u(f) = -8*f**2 + 17 - 11 - 6. Determine p(u(y)). -192*y**4 Let s(w) = 4*w**2 + 4*w. Let o(r) = -r**2 - 2*r. Let f(d) = -2*o(d) - s(d). Let k(l) = 2*l + l + 2*l. Give k(f(y)). -10*y**2 Let j(x) be the first derivative of -5*x**2 + 29. Let a(s) = -6*s**2. What is a(j(d))? -600*d**2 Let a(z) be the third derivative of z**5/15 - 5*z**2. Let f(h) = h**2. Give a(f(u)). 4*u**4 Let d(g) = -g**2. Let z(j) = j**2 - 66*j + 66*j. Give z(d(r)). r**4 Let x(w) = -20*w. Let p(s) = s + 1. Let i(m) = 3*m + 6. Let b(q) = i(q) - 6*p(q). Give b(x(j)). 60*j Let y(m) = 120*m**2. Let a(j) = 6*j. Calculate a(y(g)). 720*g**2 Let x(s) = -418*s**2. Let n(r) = -2*r**2. Give n(x(i)). -349448*i**4 Let u(m) = -2*m**2 - 3*m - 3. Let g(x) = -3*x**2 - 4*x - 4. Let h(p) = -3*g(p) + 4*u(p). Let z(i) = 5*i. Give z(h(d)). 5*d**2 Let h be 1 + -3 + 2*4. Let o be ((-12)/10)/(h/(-15)). Let d(n) = 0*n**2 - n**2 + o*n**2. Let z(b) = b**2. What is d(z(w))? 2*w**4 Let w(f) be the first derivative of 7*f**4/12 - 6*f - 9. Let k(z) be the first derivative of w(z). Let g(j) = -2*j**2. Calculate g(k(a)). -98*a**4 Let g(z) = 4*z**2 - 8144*z + 8144*z. Let c(r) = -r - r + r + 0. Determine c(g(u)). -4*u**2 Let i(y) = 4*y. Let g(l) be the second derivative of l**4/24 + l**2 + 3*l. Let k(q) be the first derivative of g(q). Determine k(i(w)). 4*w Let p(w) = -15*w + 9. Let c(u) = u + 1. Let h(s) = 12*s - 1. Let k(j) = 4*c(j) - h(j). Let a(b) = -9*k(b) + 5*p(b). Let n(o) = -2*o**2. Give a(n(m)). 6*m**2 Let a(s) = 5*s**2. Let u(r) be the second derivative of r**3/3 - 9*r. Determine u(a(n)). 10*n**2 Let n(g) = -2*g**2. Let q(f) = 57*f**2 + 3. What is n(q(i))? -6498*i**4 - 684*i**2 - 18 Let u be (-1)/4 - (-4)/16. Let s(b) = 63 - b - 63 + u*b. Let z(j) = -5*j**2. Determine z(s(f)). -5*f**2 Let v(d) = -85*d**2. Let n(y) = -y. What is v(n(a))? -85*a**2 Let f(k) = -2*k**2. Let s(z) = -17*z + 20. What is s(f(w))? 34*w**2 + 20 Let y(g) = 2*g - 2*g - 12*g + 14 - 12*g. Let p(q) = -5*q + 3. Let o(l) = -14*p(l) + 3*y(l). Let i(t) = 5*t**2. What is i(o(b))? 20*b**2 Let n(z) = 3*z**2. Let i(p) = -p**2 + 2*p - 2. Let b = -5 - 0. Let h(r) = -2
{ "pile_set_name": "DM Mathematics" }
n multiple of 81 and m? 81 Let r = -93 - -95. Suppose -90 = 5*m - 10*m + 2*y, r*m - 36 = y. Calculate the common denominator of 137/6 and 115/m*33/22. 12 Suppose 36772 = 141*l - 25*l. Calculate the smallest common multiple of l and 10. 3170 Suppose -441*s = -445*s + 16. Suppose -5*b + 95 = 5*u, -s*b - 3*u = -119 + 43. Calculate the smallest common multiple of b and 21. 399 Let r(s) = s**2 + 7*s - 2. Let u be 6/42 + 625/35. Let a(i) = i**3 - 17*i**2 - 16*i - 19. Calculate the least common multiple of a(u) and r(-8). 102 What is the common denominator of -1/33 and 9/(-6) + (560/(-469) + -5 - -8)? 4422 Calculate the common denominator of -25/441 and (356/(-294))/(-3*(-60)/(-27)). 4410 Let n = 1452 + -26161/18. Let w = 2366212/63 + -37558. Calculate the common denominator of w and n. 126 Suppose -15303*u = -15265*u - 418. Let h = 2 + 64. Calculate the smallest common multiple of u and h. 66 Suppose -17*b + 12*b = -y - 243, 2*y + 198 = 4*b. What is the lowest common multiple of b and 2 + (-5 - -21)/4? 48 Suppose -12*b + 4364 = 11*b + 454. What is the smallest common multiple of 14 and b? 1190 Let o(r) = r**2 + 7*r + 12. Let x be o(-7). Let n = -10 + x. Suppose 2*d + 5*l = -14, -n*l - l - 15 = -d. What is the least common multiple of 6 and d? 6 Let k be (-8)/6 - 384/(-72). Suppose h + 2 = -4*q, -11*h + 14*h = -k*q + 10. Calculate the least common multiple of h and 100. 300 Let z be (59458/1064)/(14/(-12)). Let y = z + 792/19. What is the common denominator of y and -93/2? 14 Let v(h) = -h**2 + 24*h - 117. Let j be v(17). Let x(c) = -16*c**2 + 36*c - 3. What is the lowest common multiple of 6 and x(j)? 30 Let k = 916 - 811. Suppose -17*j - k + 156 = 0. Let t(d) = d**3 + 6*d**2 - d - 6. Calculate the least common multiple of t(-5) and j. 24 Suppose 2*x - 7*w - 14 = -3*w, 8 = -x - w. What is the least common multiple of 32592/48 + (x - 0/1) and 4? 676 What is the smallest common multiple of -4 + 3 - (-21 - 4 - 2) and (-6)/10*(-24 + 4)? 156 Let s be 1 + 1 + (89/5 - -4). Let t = s - 831/20. What is the common denominator of t and 29/6? 12 Let q = 33496669/144420 - 6726/29. Find the common denominator of -89/240 and q. 19920 Suppose 2*x - 4*k = -264, 3*k - 405 = x + 2*x. Let g = 141 + x. Calculate the lowest common multiple of 3 and g. 3 Let c = 373687021/12756 + -29295. Calculate the common denominator of -85/4 and c. 12756 Suppose -5*y + 6*y - 217 = 4*m, -4*m = y - 233. Calculate the least common multiple of 200 and y. 1800 Let t(z) = -2*z**2 - 62*z + 101. What is the smallest common multiple of 9 and t(-25)? 3609 Let u(r) = -8*r - 38. Let c be u(-5). Suppose 5*t + 17 + 8 = 0, 3*f - c*t = 49. Calculate the least common multiple of 8 and f. 104 Let i = -17465854392286727/385516 - -45305134916. Let z = -6/3109 - i. Find the common denominator of z and 37/4. 124 Suppose 55*a - 56*a = -10. Calculate the least common multiple of 12/a*1190/51 and 4. 28 Let l = -476/43 + 18917/1806. Find the common denominator of l and 173/462. 462 Let g(k) = -47*k**2 - 13*k - 42. Let f be g(-15). Let w = f + 375089/36. Find the common denominator of -47/24 and w. 72 Suppose -10*q + 13 + 47 = 0. Let b = 4 + -4. Suppose b = 11*o - q*o - 75. Calculate the least common multiple of 21 and o. 105 Let k be (-16)/(-4) + 153/21190*-554. Let a be (5636636/(-1017120) - 0) + 2. Let z = a - k. Calculate the common denominator of -28/11 and z. 264 Let o(f) = 5*f + 3. Let p be o(1). Let n be (-25)/(-3) + -4 - 4. Let a = n + p. Calculate the common denominator of -31/65 and a. 195 Suppose -12*j = -8*j - 12. Suppose j*r + 8 - 50 = 0. Calculate the lowest common multiple of r and 72. 504 Let v = -5969/4 - -1482. What is the common denominator of -7/834 and v? 1668 Let a = 276677/346200 + -27/4616. Find the common denominator of a and 181/30. 150 Find the common denominator of (3/6*2)/((-13)/1248*246) and 91/82. 82 Let x = -760 - -766. Let o be -3 + 94*4/8. Suppose 1 + o = 5*j. What is the smallest common multiple of x and j? 18 Let o(u) = -58*u**2 - 2*u + 3. Let a be o(-5). Let l = -34481/24 - a. Calculate the common denominator of -115/18 and l. 72 Suppose 655 = -13*n + 31. Calculate the common denominator of (-4)/8*62/n and 139/36. 144 Suppose -3*m - 4*s = -29, 0 = 5*m - s - 6 - 4. Let j be ((-11)/(-4) - m) + 18698/8. What is the common denominator of 2/(-7) + (0 - j/126) and 35/4? 12 Let h = -1 - -4. Let d(w) = 3*w + 2. What is the least common multiple of ((-8)/16)/(11/(-242)) and d(h)? 11 Let u = -195/359 - -12635/26566. Let j = -4690/9 - -523. Calculate the common denominator of j and u. 666 Let m = -42908 - -44271. Calculate the least common multiple of 94 and m. 2726 Suppose -1633*v + 1637*v - 7038 = -3*g, -4*g = -5*v + 8844. What is the lowest common multiple of v and 2156? 19404 Find the common denominator of -125/36 and (3 - 4)/(11 - 1474/143). 36 Let p be (-104)/(-16) + -7 + (-277)/(-2). What is the common denominator of -99/14 and p*1*4/(-32) - 1? 28 Let v = 8112 + -8102. Suppose 0 = -r + 6*r - 70. Suppose -4*t = -4*a - 12, -r = -3*t - 0*a - 2*a. Calculate the least common multiple of v and t. 20 Let g(h) = h**3 - 4*h**2 - 2*h - 1. Let c(j) = 2*j**2 - 22*j + 25. What is the least common multiple of c(10) and g(5)? 70 Suppose -10409 + 1481 = -2232*t. What is the least common multiple of t and (-332)/(-2) + (-2 - -2)? 332 Let t = 824968079/864 + -954824. Find the common denominator of 73/288 and t. 864 Let a(g) = g**3 + 10*g**2 + 8*g + 17. Let w be a(-10). Let p be (-3 + w/(-5))*120/(-18). Let z = -28 - p. What is the lowest common multiple of 7 and z? 252 Let u(b) = 2*b**2 - 8*b - 44. Calculate the lowest common multiple of 340 and u(-4). 340 Let d(c) = -14*c**3 + 3*c**2 - 3*c + 1. Let n be d(1). Let t be 4/(-26) - (-154)/n. Find the common denominator of -49/8 and (-5)/(400/284) - (-3)/t. 40 Suppose -4*t = -5*x - 8, 0 = t - 2. Suppose x = 4*f + 5*h + 82, -4*f + 2*f - 40 = 2*h. Find the common denominator of -74/9 and f/6 - 11/21. 63 Let x be ((-2495)/160*1874)/(-2). Let g = x - 14613. Calculate the common denominator of 51/40 and g. 160 Let o be ((-9)/246)/(10/(-1140)). Let j = -330518 + 203267809/615. Let l = o + j. What is the common denominator of -29/30 and l? 30 What is the smallest common multiple of 3159 and 198/462 - 358/(-14)? 6318 Let p be (-241)/9 + (6/27)/(-1). Let w = -32 - p. What is the lowest common multiple of 9 and 13*w/10*-2? 117 Let n = -2831/4 + 4947/7. Calculate the common denominator of 1 + 38/(-34) - (-32025)/(-9996) and n. 28 Let w = -50306370594973/14088 + 3570866735. Let y = 1/1761 + w. Let o = -89734/27 + 3324. Calculate the common denominator of o and y. 216 Let b = -3245 + 441295/136. Calculate the common denominator of b and -83/2754. 11016 Suppose -65 - 193 = 6*d. Let m = d + 45. What is the least common multiple of 5 and 5 - (m + -4 + 3)? 20 Suppose 4*p = -10 + 6. Let l(x) = 6*x**3 + 3*x + 2. Let u be l(p). Let b = 9 + u. What is the least common multiple of 8 and b? 8 Suppose -2*o - a = -68, 0*a - 2*a = -5*o + 188. Let m be (489/o + 1 - -2) + -2. Let y = m + -13/3. Find the common denominator of y and -49/18. 36 Let j be 18578618636/(-2835468) + 5 + -3. Let k = j + 61/78763. Let q = -6543 - k. Calculate the common denominator of q and -19/3. 9 Let p = -139673/5 + 28165. Let j = p - 232. Find the common denominator of j and (-51)/561*3410/100. 10 Suppose -140 = l - 5*l + z, 0 = -2*l - 3*z + 84. Suppose -c + 38 = 5. Let r = l - c. What is the least common multiple of r and 10? 30 Let d = -91965320 - -3035499145/33. Let c = -24499 + 44004. Let v = d - c. Find the common denominator of 121/12 and v. 132 Suppose 1702 = 31*y + 617. Suppose -y*m - 5286 = -13231. Calculate the least common multiple of m and 2. 454 Suppose -q - 32*q + 6480 = -13*q. Calculate the lowest common multiple of 162 and q. 324 Calculate the common denominator of (156654/15472)/(11/2) and (2/256)/(1/94). 704 Let c be (-114)/(-20)*(-1111 - -12). Let s = c - -6258. Find the common denominator of (-2)/11 - 2956/(-528) and s. 60 Let c = 108 + 69. Suppose 5*m - c + 47 = 0. Let i(y) = -y**2 + 10*y - 12. Calculate the smallest common multiple of m and i(8). 52 Suppose 0 = 40*z - 61*z + 37*z - 64. Calculate the smallest common multiple of z and 26. 52 Suppose 38*y + 33 = 41*y. Suppose
{ "pile_set_name": "DM Mathematics" }
28) Simplify (y*y*((y/y**(-5))/y*y)/y*y*y**(3/8)*y*y**(-1/3)/y*(y*y**(-2/5))/y)**(50/3) assuming y is positive. y**(4585/36) Simplify ((i*i/(i/(i**18*i)*i))/i)/i**15*i**6/(((((i**(-1)*i)/i)/i)/i)/i) assuming i is positive. i**13 Simplify ((c/(c*c/(c/(c*c*c*c**0))))/(((c/(c/(c*c**(-3)/c*c)))/c)/c)*c/(c*c*c*(c*c/(c/c**2))/c)*c/(c*c**(4/5)*c))**(4/7) assuming c is positive. c**(-96/35) Simplify h/((h/(h/(h*h**(-18))))/h)*h*h**(14/9)*h/(h/((h**12/h)/h*h))*h*(h*h**(-14))/h assuming h is positive. h**(176/9) Simplify (s*s*s/(s/(s**(-19)/s*s*s*s))*s/s**(3/2))/(s*s*s**(2/11)/s)**27 assuming s is positive. s**(-1043/22) Simplify ((h**15*h)/h*h*h**(-24))/(h*h*(h/h**(-21)*h)/h)**(2/61) assuming h is positive. h**(-536/61) Simplify (p**(4/23)*p)/p**(2/17)*(p**20/p)/p**(-20) assuming p is positive. p**(15662/391) Simplify (b/((b**(2/9)/b)/b))**(1/37)/((b**(-17)*b)/(b/(b/((b**(8/5)/b)/b)))) assuming b is positive. b**(26099/1665) Simplify (p**(2/21)/p**(-6)*p**(3/13)*p**(-5))**(-36) assuming p is positive. p**(-4344/91) Simplify l**(3/4)*(l/(l*l**(2/3)))/l*l**(-7)/(l*l**(3/5)) assuming l is positive. l**(-571/60) Simplify (k**(2/7))**(-38)*(k**6/k)**(-50) assuming k is positive. k**(-1826/7) Simplify ((b/(b/b**24))/(b**(-4/3)*b))/(b*b*(b/b**(-2/25))/b*b)**(-44) assuming b is positive. b**(11989/75) Simplify (l**(17/4))**14/(l/l**(12/7))**(-2/103) assuming l is positive. l**(85779/1442) Simplify (o/o**3*o**3*(o**2)**(-1/57))**6 assuming o is positive. o**(110/19) Simplify ((w**(-1/8)*w)/w)/((w*w**(1/4)/w)/w)*(w*w**(2/7)*w*w)/(w/w**4) assuming w is positive. w**(387/56) Simplify (a**(-2/19)*a)/a**8*(a/(a*a/(((a**(5/3)/a)/a)/a)))/a**11 assuming a is positive. a**(-1165/57) Simplify q**(-22)/q**(-1)*q**(2/41)*q**(-2/23)/q assuming q is positive. q**(-20782/943) Simplify (q**(-9)/q*q/q**(-8/11)*q*q)/(q**8*q**(4/11)/q) assuming q is positive. q**(-150/11) Simplify (q**(-7)*q**(-7/2))/(q*q/(q/q**(-1/10)*q)*q*q**15/q) assuming q is positive. q**(-127/5) Simplify (k*k**(8/3))/k*k**(-11)*(k/k**(-1/4))**(-2/27) assuming k is positive. k**(-455/54) Simplify (p**(2/43)/p)/p**(-1)*(p**(2/13)/p*p)**(2/61) assuming p is positive. p**(1758/34099) Simplify j**(-2/3)*j**(-13)*(j**(-10)/j)/j**(-6/11) assuming j is positive. j**(-796/33) Simplify (f**3)**(1/23)*f/(f**(-5/2)/f)*f**2 assuming f is positive. f**(305/46) Simplify (((b/(b*b/(b/(b*b/b**(-12/5))*b)))/(b**(-11)*b))**32)**(-5/2) assuming b is positive. b**(-528) Simplify ((f*(f**(-2)*f*f)/f*f)**(-4/43)*(f**2)**(-23))**(3/10) assuming f is positive. f**(-2973/215) Simplify (((t/(t*t**(-24)))/t)/(t/t**26))/(t/(t/(t**(-4/5)*t))*t*t**9) assuming t is positive. t**(189/5) Simplify b/(b*(b*b*b**(-15))/b)*(b**(-1)/b*b)/b*b**15/b**(-5/6) assuming b is positive. b**(167/6) Simplify (h**8*h)**23/(h/(h*h/(h/(h*h**(-1/4)))*h)*h/((h**(-7)*h*h)/h)) assuming h is positive. h**(807/4) Simplify ((q*q/q**(-1))**(-1/5)/((q**5*q)/q**(-1/10)))**4 assuming q is positive. q**(-134/5) Simplify (s**(-4/5)/s*s**1/s)**(-39) assuming s is positive. s**(351/5) Simplify (((w**(-10/11)/w)/w)**30)**(-20) assuming w is positive. w**(19200/11) Simplify (a**(-22))**(-4/5)*a*a**(3/2)*a/a**3 assuming a is positive. a**(181/10) Simplify j**(3/4)*j**4*(j/((j**16/j)/j*j))/(j*j**(-18/7)) assuming j is positive. j**(-215/28) Simplify (i**18*i*i*i*i**16/i*i*i)/((i*i**(1/4))/(i/(i*i**(1/2)*i))) assuming i is positive. i**(141/4) Simplify (t**(-8)*t*t**(-2/17))/(t**(2/3))**24 assuming t is positive. t**(-393/17) Simplify (u*u/(u**(-1/13)/u)*u)**(-1/19)*u**(-2/29)/u**(2/3) assuming u is positive. u**(-20419/21489) Simplify ((c**(-1/3)*c**(-7))**(-1/7))**(-5) assuming c is positive. c**(-110/21) Simplify ((m**1/m)**(-4/5)/(m**(2/5))**(-2/13))**(-3/19) assuming m is positive. m**(-12/1235) Simplify (d**(-5)*d**(-21))**(-2/33) assuming d is positive. d**(52/33) Simplify ((o*o/((o/(o*o**(2/7)))/o)*o*o)**(-5/7)/(o**(1/3)/o)**(-3/20))**(-16/3) assuming o is positive. o**(5064/245) Simplify (y*(y/(y**(-3)/y))/y*y/((y**(2/29)/y)/y))/((y*y*y**(-3/4))/y**(-6)) assuming y is positive. y**(79/116) Simplify ((i/(i/(i/(i/(i**(-5/6)/i*i)))))/i**(-3))**(10/9) assuming i is positive. i**(65/27) Simplify s/(s*s**(-12)*s)*s**(-8/5)*(s/s**(-11/3))/(s*s**23) assuming s is positive. s**(-149/15) Simplify (q*(q**(1/11)*q)/q)**(-3/8)*q*q*q*q/q**(-2/3)*q**(1/11) assuming q is positive. q**(287/66) Simplify (((t*t**9*t)/t*t)/t)**(-1/15)*(t*t*t/(t/(t/t**9*t))*t)**(26/3) assuming t is positive. t**(-106/3) Simplify (d/d**(-18)*d*d/d**(-7/8))**(-48) assuming d is positive. d**(-1050) Simplify (s*s**(-17))**(-33)*((s**(-1/4)*s)/s)**(-1) assuming s is positive. s**(2113/4) Simplify (f/f**(-10)*(f**(-22)*f)/f)/(f*f**(2/5)/f*f*f*f**(12/5)) assuming f is positive. f**(-79/5) Simplify k*k/k**21*k*k*k**(-5/2)*(k**(-1/8))**15 assuming k is positive. k**(-171/8) Simplify (((s/(s/(s*s**(-1/2)))*s)/s)**(7/11)*s*s**(-2)*s*s*s**(3/2)/s)**11 assuming s is positive. s**20 Simplify (r**(1/5)*r/(r*(r**0/r)/r)*(r/(r/(r**(2/11)/r)))**(-1/10))**12 assuming r is positive. r**(1506/55) Simplify (u**(4/9)*u*u**(-2)*(u**(2/3))**38)**(-1/18) assuming u is positive. u**(-223/162) Simplify (k**(-2/15)/k)/k*k**(1/13)*k*(k**(-3/2)/k)/(k*k**(2/3)*k) assuming k is positive. k**(-809/130) Simplify (p**(-2/17)*p**(-6))**(-9) assuming p is positive. p**(936/17) Simplify (n/n**(-4))**(-2/131)/(n**6)**50 assuming n is positive. n**(-39310/131) Simplify (((r/((r/(r/r**(-11))*r)/r)*r)/r*r)/r**11*(r/r**3)**(-12/7))**30 assuming r is positive. r**(1140/7) Simplify (l**(1/2))**(-5/6)/(l**(-11)/l**(-2/5)) assuming l is positive. l**(611/60) Simplify (o/o**(-2/17))**41/((o/(o/(o/(o*o/o**(-9)*o))))/o**(-8/3)) assuming o is positive. o**(2762/51) Simplify ((z**1/z)/z)/z**(-2/7)*z*z**(-1/2)*z*z*z*(z*z/(z*z**(-1/7)/z))/z*z assuming z is positive. z**(69/14) Simplify (q**(-3/2)*q*q)**(2/33)/(q**(-3/7)*q**5) assuming q is positive. q**(-1049/231) Simplify (l*l**(-24))/(l**(-2/43)/l)*(l**(-5)*l)/l*l/(l/((l*(l*l/(l*(l**4/l)/l*l*l))/l)/l)) assuming l is positive. l**(-1331/43) Simplify ((b/(b**0*b*b))**(-43)/(b**(2/5))**(-18))**(7/5) assuming b is positive. b**(1757/25) Simplify ((j*j/j**(-1))**(-1/2)/(j*j**(-6)*j*j/(j*j*j/(j*j*j/(j/(j/((j**7/j)/j))*j*j)*j)*j)))**(-1) assuming j is positive. j**(-17/2) Simplify (y**(-14)/y)/((y/(y/y**(10/7)))/y)*(y/y**(-2/17)*y)/(y*y*(y**(-5/11)*y)/y*y) assuming y is positive. y**(-20756/1309) Simplify (g**(-6)*g)/g**(-16)*(g**(-3))**(-31/2) assuming g is positive. g**(115/2) Simplify ((z/(z**(-1/36)*z))/(z/(z/(z*z**(1/4)))))**(-49) assuming z is positive. z**(539/9) Simplify ((m*m**0*m)**(12/13)*(m**(-1))**(-44))**37 assuming m is positive. m**(22052/13) Simplify (s**(-3)/(s/((s*s/((s**(2/15)/s)/s))/s))*(s**0)**(3/16))**17 assuming s is positive. s**(-289/15) Simplify ((z**(-3/4)*z)**18)**35 assuming z is positive. z**(315/2) Simplify (m*m**30*m/(m**(-2/3)/m))/(m**(-17))**(-1/5) assuming m is positive. m**(454/15) Simplify (b/b**(-1/3)*b)**(2/9)/((b**(-4/5)*b)/(b*b/(b/b**(1/3)))) assuming b is positive. b**(223/135) Simplify ((p**(-2/37))**33)**(-15) assuming p is positive. p**(990/37) Simplify (l**(2/9))**20*l*l**(-5)*l*l*l**9 assuming l is positive. l**(103/9) Simplify ((h*((h*h**(2/3)*h*h)/h*h)/h)/(h/h**9))/(h/(h*h**(-9/4)*h)*h**(4/9)) assuming h is positive. h**(359/36) Simplify ((b**(-3/17)*b)/b**16)/(b/((b**(6/11)*b*b)/b))**16 assuming b is positive. b**(-1206/187) Simplify ((v**4*v*(v/((v*v/(v**12/v))/v))/v)**(-1))**(-46) assuming v is positive. v**690 Simplify ((b**3)**(-7))**(-23/3) assuming b is positive. b**161 Simplify ((v*v**(-7/2)*v*v)/v)/(v**(1/9)/v)*(v/(v*v**14))/v*v*v**(-21)/v assuming v is positive. v**(-659/18) Simplify (h**(-2)*(h*(h**(-11)/h)/h)/h)/(h/((h/h**(5/2))/h)*(((h*h**(-21))/h)/h)/h) assuming h is positive. h**(9/2) Simplify (d**0*d/(d/(d/d**(-17))))/(d**(-2/27)*d*d**(2/9)) assuming d is positive. d**(455/27) Simplify (a**(1/4)/a**28)**(2/3) assuming a is positive. a**(-37/2) Simplify (c**(-10))**(-34)*(c**(2/5))**(1/4) assuming c is positive. c**(3401/10) Simplify ((m*m/(m/(m**(2/39)/m)))/m*m*m*m**(-3/5))/(m**(-2/11))**(15/2) assuming m is positive. m**(3893/2145) Simplify (y**(3/5)*((y**(-10)*y)/y)/y)/((y*y*y**(-3/19))/(y/(y/y**17)*y)) assuming y is positive. y**(547/95) Sim
{ "pile_set_name": "DM Mathematics" }
e -r**3/8 - 33*r**2/8 + 405*r/8 + 15309/8 = 0 for r. -27, 21 Solve -7*w**3/2 - 274*w**2 + 482*w + 160 = 0 for w. -80, -2/7, 2 Solve -2*y**2/19 - 170*y/19 = 0 for y. -85, 0 Factor 2*u**3/15 + 16*u**2/15 + 32*u/15. 2*u*(u + 4)**2/15 Solve 6*c**3/7 + 1584*c**2/7 + 1578*c/7 = 0 for c. -263, -1, 0 Find f, given that -5329*f**5/2 - 7884*f**4 - 61329*f**3/8 - 18715*f**2/8 + 849*f/8 - 9/8 = 0. -1, 3/146 Factor 21*k**4 + 249*k**3 + 723*k**2 + 495*k. 3*k*(k + 1)*(k + 3)*(7*k + 55) Suppose 165*t**5 - 3429*t**4 - 8358*t**3 - 1404*t**2 + 552*t = 0. What is t? -2, -2/5, 0, 2/11, 23 Determine u so that 6*u**5/5 - 14*u**4/5 - 74*u**3/5 - 34*u**2/5 + 4*u = 0. -2, -1, 0, 1/3, 5 Let -5*i**4/2 - 2895*i**3 - 838100*i**2 + 2895*i + 1676205/2 = 0. Calculate i. -579, -1, 1 Factor -2*u**3/5 + 64*u**2/5. -2*u**2*(u - 32)/5 Find u, given that 4*u**3 + 2952*u**2 = 0. -738, 0 Find v, given that 2*v**2/7 - 880*v/7 + 1752/7 = 0. 2, 438 Suppose 4*y**5/7 + 76*y**4 + 23760*y**3/7 + 363968*y**2/7 + 340736*y/7 = 0. Calculate y. -44, -1, 0 Let -x**4 - 13*x**3 - 23*x**2 - 11*x = 0. Calculate x. -11, -1, 0 Suppose 2*r**2 - 504*r + 31752 = 0. Calculate r. 126 Let o**4/7 - 1230*o**3/7 + 376993*o**2/7 + 108240*o + 54208 = 0. What is o? -1, 616 Factor -3*b**3 + 1515*b**2 - 3021*b + 1509. -3*(b - 503)*(b - 1)**2 Factor -3*s**2 - 3*s + 60. -3*(s - 4)*(s + 5) Find x such that 3*x**4 + 65*x**3/3 + 113*x**2/3 + 67*x/3 + 10/3 = 0. -5, -1, -2/9 Factor 2*l**2/3 + 136*l/3 + 2312/3. 2*(l + 34)**2/3 Factor 4*a**2 - 20*a - 816. 4*(a - 17)*(a + 12) Suppose -188*u**3/7 - 4*u**2/7 + 188*u/7 + 4/7 = 0. What is u? -1, -1/47, 1 Factor 2*g**4/13 - 46*g**3/13 + 240*g**2/13 + 288*g/13. 2*g*(g - 12)**2*(g + 1)/13 Factor -2*o**2/17 + 2428*o/17 - 2426/17. -2*(o - 1213)*(o - 1)/17 Factor 3*a**5 - 6*a**4 - 12*a**3 + 6*a**2 + 9*a. 3*a*(a - 3)*(a - 1)*(a + 1)**2 Factor -c**2 + 300*c - 1184. -(c - 296)*(c - 4) Let y**2/7 + 8*y/7 + 15/7 = 0. What is y? -5, -3 Factor -y**2/5 - 789*y/5 + 1582/5. -(y - 2)*(y + 791)/5 Factor 4*g**4 + 3184*g**3 + 633600*g**2 - 12736*g - 2534464. 4*(g - 2)*(g + 2)*(g + 398)**2 Determine g, given that 15*g**2 + 260*g - 180 = 0. -18, 2/3 Factor -k**3/3 + 8*k**2 - 11*k/3 - 92. -(k - 23)*(k - 4)*(k + 3)/3 What is m in 2*m**3/11 + 1084*m**2/11 + 392*m + 4304/11 = 0? -538, -2 Let 2*q**5/13 - 14*q**4/13 - 62*q**3/13 + 14*q**2/13 + 60*q/13 = 0. What is q? -3, -1, 0, 1, 10 Factor b**3/4 + 79*b**2/4 + 142*b. b*(b + 8)*(b + 71)/4 Determine u, given that -u**4/6 - 41*u**3/6 + 401*u**2/2 - 6259*u/6 - 3751/3 = 0. -62, -1, 11 Factor 2*b**3/7 + 2*b**2 - 20*b/7 - 32/7. 2*(b - 2)*(b + 1)*(b + 8)/7 Factor 3*c**3/8 - 87*c**2/8 + 21*c/2. 3*c*(c - 28)*(c - 1)/8 What is f in -5*f**2 - 661*f + 532 = 0? -133, 4/5 What is r in r**2/2 - 8*r - 57/2 = 0? -3, 19 Suppose 8*b**2 + 14*b = 0. What is b? -7/4, 0 Factor s**4 + 31*s**3 + 59*s**2 + 29*s. s*(s + 1)**2*(s + 29) Solve 9*b**4 + 2499*b**3 + 173049*b**2 - 59631*b - 115926 = 0 for b. -139, -2/3, 1 Factor 2*l**2 + 208*l + 5408. 2*(l + 52)**2 Let -2*t**4/7 - 2*t**3 + 96*t**2/7 + 8*t - 352/7 = 0. What is t? -11, -2, 2, 4 Suppose -2*k**2 + 1102*k - 2196 = 0. Calculate k. 2, 549 Factor -4*s**5 + 364*s**4 - 1408*s**3 + 1392*s**2. -4*s**2*(s - 87)*(s - 2)**2 Solve 4*y**5/13 - 10*y**4/13 - 42*y**3/13 - 38*y**2/13 - 10*y/13 = 0 for y. -1, -1/2, 0, 5 Factor -597*i**3/4 - 229*i**2/4 - 5*i/2. -i*(3*i + 1)*(199*i + 10)/4 Factor 3*n**4/5 + 9*n**3/5 - 12*n**2/5. 3*n**2*(n - 1)*(n + 4)/5 Factor -f**5 - 3*f**4 + 10*f**3 + 24*f**2. -f**2*(f - 3)*(f + 2)*(f + 4) Suppose 5*c**5 - 150*c**4 + 1445*c**3 - 4920*c**2 + 6740*c - 3120 = 0. What is c? 1, 2, 12, 13 Factor -2*j**2 + 102*j + 104. -2*(j - 52)*(j + 1) Factor -l**5/2 - 35*l**4/2 + 75*l**3 - 115*l**2 + 155*l/2 - 39/2. -(l - 1)**4*(l + 39)/2 Find q, given that -3*q**5 - 141*q**4 - 1581*q**3 + 1869*q**2 + 1584*q - 1728 = 0. -24, -1, 1 Factor -5*v**4 + 570*v**3 - 15020*v**2 - 72570*v + 87025. -5*(v - 59)**2*(v - 1)*(v + 5) Factor -5*n**3/4 + 425*n**2/4 - 205*n/2 - 210. -5*(n - 84)*(n - 2)*(n + 1)/4 Factor 5*u**3/3 - 19087*u**2/3 + 7634*u/3. u*(u - 3817)*(5*u - 2)/3 Solve -2*l**3/11 + 14*l**2/11 - 20*l/11 = 0 for l. 0, 2, 5 Solve -k**5/6 - k**4/2 + 3*k**3 - 2*k**2/3 - 4*k = 0. -6, -1, 0, 2 Factor 3*i**5 + 438*i**4 + 21168*i**3 + 331338*i**2 - 352947*i. 3*i*(i - 1)*(i + 49)**3 Factor -d**2 + 45*d - 494. -(d - 26)*(d - 19) What is c in -2*c**2 - 24*c - 64 = 0? -8, -4 Find d, given that 2*d**5 - 7*d**4 - 69*d**3 - 28*d**2 + 32*d = 0. -4, -1, 0, 1/2, 8 Determine r so that 7*r**3/3 + 4814*r**2/3 + 826976*r/3 - 236672/3 = 0. -344, 2/7 Factor -29*j**3/6 - 200*j**2/3 - 1337*j/6 + 49. -(j + 7)**2*(29*j - 6)/6 Factor p**2 + 75*p + 1316. (p + 28)*(p + 47) What is t in -4*t**5 + 56*t**4 - 256*t**3 + 456*t**2 - 252*t = 0? 0, 1, 3, 7 Solve 5*c**3 + 1845*c**2 + 226935*c + 9304335 = 0. -123 Factor -4*l**2 - 64*l + 420. -4*(l - 5)*(l + 21) What is r in 36*r**5/7 - 465*r**4 + 10764*r**3/7 - 5409*r**2/7 - 6252*r/7 - 1044/7 = 0? -1/3, -1/4, 2, 87 Factor -5*y**3 + 65*y**2 + 70*y. -5*y*(y - 14)*(y + 1) Factor 4*f**4 - 1552*f**3 - 4680*f**2 - 4688*f - 1564. 4*(f - 391)*(f + 1)**3 Solve 5*v**3 + 105*v**2 - 170*v - 1320 = 0. -22, -3, 4 Solve -2*o**5/15 + 8*o**4/15 + 22*o**3/15 - 52*o**2/15 - 128*o/15 - 64/15 = 0. -2, -1, 4 Factor 4*y**2/7 - 416*y/7 + 10816/7. 4*(y - 52)**2/7 Determine t, given that -3*t**2 + 33*t + 456 = 0. -8, 19 Let -4*p**2/7 + 1408*p/7 - 123904/7 = 0. What is p? 176 Factor -4*r**3 - 180*r**2 + 4*r + 180. -4*(r - 1)*(r + 1)*(r + 45) Solve -3*w**2 + 384*w = 0 for w. 0, 128 Factor 2*t**4 + 14*t**3 + 36*t**2 + 40*t + 16. 2*(t + 1)*(t + 2)**3 Solve i**2/3 - 52*i/3 + 676/3 = 0 for i. 26 Factor 5*d**4/2 - 5*d**3 - 75*d**2/2 + 80*d - 40. 5*(d - 4)*(d - 1)**2*(d + 4)/2 Factor -2*b**2 + 212*b + 214. -2*(b - 107)*(b + 1) Suppose 2*t**3/3 + 692*t**2 - 1386*t + 2080/3 = 0. Calculate t. -1040, 1 Factor 12*n**3 + 6387*n**2 + 850668*n + 212268. 3*(n + 266)**2*(4*n + 1) Factor -2*j**5/9 - 388*j**4/3 - 25346*j**3 - 1721472*j**2 - 9658368*j - 14155776. -2*(j + 3)**2*(j + 192)**3/9 Solve 98*h**2/9 - 112*h + 288 = 0 for h. 36/7 Find f, given that f**5 - 8*f**4 - 12*f**3 + 26*f**2 + 11*f - 18 = 0. -2, -1, 1, 9 Factor 20*h**4 + 108*h**3 + 160*h**2 + 48*h. 4*h*(h + 2)*(h + 3)*(5*h + 2) Determine k so that 2*k**3/15 - 38*k**2/15 - 3712*k/15 + 6144 = 0. -45, 32 Find f, given that -4*f**2 - 20*f + 144 = 0. -9, 4 Determine p, given that -9*p**3 + 210*p**2 - 63*p - 138 = 0. -2/3, 1, 23 Determine x so that 2*x**2/11 - 6*x - 140/11 = 0. -2, 35 Solve 253813557*r**3/2 - 8672445*r**2/2 + 98775*r/2 - 375/2 = 0 for r. 5/439 Determine f so that -f**2 - 2*f + 8 = 0. -4, 2 Find b, given that -2*b**3/9 - 170*b**2/3 + 2*b/9 + 170/3 = 0. -255, -1, 1 Factor 4*t**5 - 1200*t**4 + 144000*t**3 - 8640000*t**2 + 259200000*t - 3110400000. 4*(t - 60)**5 Find m, given that -m**2/8 - 141*m/4 - 281/8 = 0. -281, -1 Solve -2*x**5 - 36*x**4 - 160*x**3 - 180*x**2 + 162*x + 216 = 0. -12, -3, -1, 1 Determine j so that -5*j**2/2 + 3*j/4 = 0. 0, 3/10 Factor -4*q**3/3 + 4*q**2 + 16*q/3. -4*q*(q - 4)*(q + 1)/3 Solve 3*j**4 + 48*j**3 + 225*j**2 + 324*j = 0. -9, -4, -3, 0 Factor 2*k**3/5 + 297*k**2/5 - 752*k/5 + 453/5. (k - 1)*(k + 151)*(2*k - 3)/5 Determine l so that 12*l**3 - 39*l**2 - 180*l - 108 = 0. -2, -3/4, 6 Suppose 16*f**3 + 8676*f**2 + 1177224*f + 293764 = 0. What is f? -271, -1/4 Suppose 4*f**5 - 8*f**4 - 48*f**3 - 56*f**2 - 20*f = 0. Calculate f. -1, 0, 5 Suppose i**5/2 + 14*i**4/3 + 31*i**3/6 - 5*i**2/3 - 8*i/3 = 0. What is i? -8, -1, 0, 2/3 Factor s**5/5 - 6*s**4/5 + 9*s**3/5 - 4*s**2/5. s**2*(s - 4)*(s - 1)**2/5 Determine g, given that -2*g**5 + 14*g**4/9 + 130*g**3/9 + 10*g**2/9 - 112*g/9 - 8/3 = 0. -2, -1, -2/9, 1, 3 Suppose 182*w**3/5 - 9622*w**2/5 - 256*w + 424/5 = 0. Calculate w. -2/7, 2/13, 53 Suppose 2*g**3 + 8190*g**2 + 11179350*g + 5086604250 = 0. Calculate g. -1365 Factor 2*m**3/19 - 586*m**2/19 - 2980*m/19. 2*m*(m - 298)*(m + 5)/19 Suppose -u**3/7 + 38*u**2/7 + 83*u/7 - 120/7 = 0. What is u? -3, 1, 40 Find m, given that -m**2 - 2*m + 24 = 0. -6, 4 Suppose -2*y**2/11 - 4*y/11 + 30/11 = 0. What is y? -5, 3 Factor 3*c**4/5 + 29*c**3/5 + 89*c**2/5 + 15*c - 36/5. (c + 3)**2*(c + 4)*(3*c - 1)/5 Let 25*p**4 + 265*p**3 + 490*p**2 - 1140*p + 360 = 0. Calculate p. -6, 2/5, 1 Solve -5*u
{ "pile_set_name": "DM Mathematics" }
est value in -40, -1, 2, 393? 393 Which is the smallest value? (a) 11 (b) 8 (c) -5 (d) 2/3 (e) -22 (f) -3 e What is the fourth biggest value in 0.5, -496, 36, 0.2? -496 What is the fifth biggest value in -3/8, 1/3, 89, 4, 4/13, -4? -3/8 What is the fifth biggest value in 4, -11, 0.4, -0.06, 1/16, 0.1? -0.06 What is the third smallest value in 3, 53.2, -0.4, -2? 3 What is the fourth smallest value in -0.3788, -1/3, 1, 6? 6 What is the second biggest value in 5, 0.2, -5, -0.14, 2/827, 2/11? 0.2 What is the smallest value in -6496, 2/3, 3, 0.3? -6496 Which is the fourth smallest value? (a) -3 (b) 0.4 (c) -1 (d) -0.53 (e) -10 (f) -0.5 d Which is the second smallest value? (a) 4 (b) -0.4 (c) 1/8 (d) 13 (e) -643 (f) -5 f Which is the third smallest value? (a) -461 (b) 1.1 (c) 49 c Which is the second smallest value? (a) -2.616 (b) 0.16 (c) 2 b Which is the biggest value? (a) -2/9 (b) -2.84 (c) -31 a What is the fourth biggest value in -0.1, -0.22, -4, 2/77, -2, 4? -0.22 What is the third biggest value in 4, -0.06, 25.32? -0.06 What is the smallest value in -0.5, -60/13, 24.9? -60/13 Which is the fifth biggest value? (a) -0.04 (b) 0.21 (c) 5 (d) 2/15 (e) 8 a Which is the fifth biggest value? (a) 5 (b) -1/5 (c) 1 (d) -8.9 (e) -1/4 d Which is the biggest value? (a) -0.139 (b) 0.5 (c) -1.8 (d) 4/9 b Which is the smallest value? (a) 4 (b) 4/123 (c) 8/21 (d) -1 d What is the smallest value in -4/219, -1, -2/19, 1/4? -1 Which is the fourth biggest value? (a) -1/5 (b) -11.57 (c) -2 (d) -1 b Which is the second biggest value? (a) 1/106 (b) -0.6 (c) -3 (d) 4 (e) -1/3 (f) -4/3 a Which is the fifth biggest value? (a) 8 (b) 2 (c) -5 (d) 0.46 (e) 5 c Which is the biggest value? (a) -1/4 (b) 2/7 (c) -2 (d) 0.23 (e) -4 b What is the fourth smallest value in -1, -48, -0.214, 4? 4 What is the second biggest value in 2/3, -745, -0.9? -0.9 Which is the smallest value? (a) -2/103 (b) 57 (c) 0.12 a What is the third biggest value in 51, 2/9, 5, 0.79, 0.4? 0.79 What is the second smallest value in -0.05, -0.2, 39/773? -0.05 What is the fourth smallest value in 1/8, -0.5, -2/3, -0.1, 22864? 1/8 What is the second biggest value in 6, 0.3, -126/199, 0.2? 0.3 Which is the second smallest value? (a) 0.223 (b) -0.02 (c) 0.038 (d) 2 c Which is the biggest value? (a) -51 (b) -2/5 (c) -4 (d) 13 (e) 4 d What is the fifth smallest value in 41, 105/2, 1, -1/3, 0.4? 105/2 Which is the fourth smallest value? (a) 1/2 (b) 1/7 (c) -324 (d) 0.6 (e) 1 d Which is the second biggest value? (a) 23 (b) 0.1568 (c) -1/8 (d) 0.14 b What is the third biggest value in 2, 0.883, -88? -88 Which is the third biggest value? (a) 0 (b) 0.3 (c) -0.48 (d) -5 c Which is the smallest value? (a) -21.5 (b) -2/13 (c) 6 a What is the second smallest value in -1, -4, -2, -257, -0.039? -4 What is the fourth biggest value in -3/7, 1/13, -3/4, 0.4, 171? -3/7 What is the second biggest value in -732, -126, 0.3, 3? 0.3 What is the smallest value in -2, 2/3, 1/8, 3242, 0.5? -2 Which is the biggest value? (a) 2/5 (b) 3 (c) 0.0176 (d) 4 (e) -2/21 (f) 2/55 d Which is the second smallest value? (a) -45 (b) 5 (c) -5 (d) 0.1 (e) -2/3 (f) -3 c Which is the biggest value? (a) -0.86 (b) 0.5 (c) -6 (d) -2/9 (e) 4 e Which is the second biggest value? (a) -1/5 (b) 120 (c) 304 b What is the sixth smallest value in 2/35, -2, 2/9, -14, -4, -0.3? 2/9 Which is the second biggest value? (a) -2/3 (b) -8 (c) -5 (d) 34 (e) -2 (f) -0.3 f What is the third smallest value in -3, -0.2, -3882, 0, -1? -1 What is the second smallest value in 0.4, 30, -31.8, 2/3? 0.4 What is the second biggest value in -2, -1/6, 5, 0.53, 24? 5 What is the third smallest value in 0.5, 267369, -0.4? 267369 What is the smallest value in 0.9, -5, 0, -960? -960 What is the smallest value in -5, -798/11, 1, 3, 4? -798/11 What is the third biggest value in -0.2, 0, -3/14, 1.5, 1? 0 What is the fourth biggest value in 3, 1/3, -9, 0, 1/12, 2? 1/12 What is the fourth smallest value in 0, -4, -0.367, -10, 2/5? 0 What is the third smallest value in 3, 9320, -9? 9320 Which is the fourth biggest value? (a) 0 (b) -2 (c) -11014 (d) 22 c Which is the fifth smallest value? (a) 1/71 (b) 2/3 (c) 5 (d) -1 (e) 3/14 c Which is the third biggest value? (a) 3 (b) 26/7 (c) 13.1 (d) -93 a What is the second smallest value in 1, -0.0738, 2, 0.5? 0.5 Which is the third biggest value? (a) -2 (b) 2/7 (c) -1/4161 a What is the second smallest value in 15, 5, 1/23, -32/19, -3? -32/19 What is the smallest value in 270, 0.04, 5, -1/2? -1/2 What is the biggest value in -217, 0.5, 3/7, 4, 0.6? 4 What is the second biggest value in -0.236, 5, -215? -0.236 Which is the fourth biggest value? (a) -1073/8 (b) 10 (c) 0 (d) 3 a What is the third biggest value in 3/2, 2/1095, -5, 5? 2/1095 What is the fourth smallest value in -71, -3, -0.5, -0.2, 2/11, 3? -0.2 Which is the fourth smallest value? (a) -2/9 (b) 2 (c) -2/3 (d) -0.2 (e) -13.75 (f) 8 d What is the second biggest value in -4, -2/7, 5/3, -969? -2/7 Which is the second biggest value? (a) -2 (b) 172.6 (c) 1.7 c Which is the biggest value? (a) -0.2 (b) 4 (c) -0.23 b Which is the third biggest value? (a) -5 (b) 0 (c) -436 (d) 5 a Which is the second smallest value? (a) 2/803 (b) 1/4 (c) -344 (d) -0.5 d Which is the fifth biggest value? (a) 0.1 (b) 0.3 (c) 4.5 (d) -0.2 (e) 14 d Which is the smallest value? (a) 92/11 (b) -0.4 (c) -5 (d) 0.06 c What is the second biggest value in -6, -16, -29.9? -16 Which is the third smallest value? (a) 0 (b) 1772 (c) 2 b What is the biggest value in 3, -0.3, -4, -683, 9? 9 What is the third smallest value in 2, -9, 1015? 1015 What is the fourth smallest value in -10/19, -30/11, -7, 4? 4 Which is the smallest value? (a) -2/5 (b) 0.24 (c) -3/14 (d) 7 a What is the third smallest value in -0.4, -862, -1/2, 2, -5? -1/2 Which is the biggest value? (a) -0.4 (b) 0.2 (c) -1/15 (d) -1 (e) -7 b Which is the fifth biggest value? (a) -1/27 (b) -5 (c) -6 (d) 0 (e) 3 (f) 7/44 b Which is the third smallest value? (a) -238 (b) 3 (c) -6 (d) 1 (e) -0.3 e Which is the smallest value? (a) -10 (b) 346 (c) -0.5 (d) 0.2 (e) 5/2 (f) -4 a What is the third biggest value in 0.2, -3, 7, 88/7, 4, 2/5? 4 What is the second biggest value in 65, 1, -2, 0, 2? 2 What is the smallest value in -1/19, -4, 22, -37? -37 What is the smallest value in -1, 0.3, -3209/4? -3209/4 What is the second smallest value in 2646, 3/7, 2? 2 Which is the fifth biggest value? (a) 4 (b) -0.1 (c) 7 (d) 3/5 (e) 0.09 (f) 18.7 e What is the biggest value in 0.5, 1/3, 7, -3, -0.9? 7 Which is the sixth smallest value? (a) -3 (b) 0.2 (c) 5 (d) 1 (e) -4 (f) 169 f Which is the sixth biggest value? (a) -2 (b) 0.01 (c) 27 (d) -0.4 (e) -2/3 (f) 911 a What is the third biggest value in 27, -0.07, 11? -0.07 What is the fourth smallest value in -35, 3, -0.1, -5/228? 3 What is the smallest value in 0, -6/35, 1/983? -6/35 What is the second biggest value in 0.02, 0.1, -0.4, -5092? 0.02 What is the smallest value in 0.5, -1.09, 1/8, -2/99? -1.09 What is the fourth smallest value in -3/8, 5/202, 15/4, -4, 0.06, -0.2? 5/202 What is the third biggest value in -3, -31, -3/7, -0.5? -3 What is the fifth smallest value in 0, 2/5, 0.3, 0.2, 1.9, -103? 2/5 Which is the second smallest value? (a) 2/77 (b) 5 (c) -1 (d) 0.7 (e) -1/2 e What is the second biggest value in 34, -89, -0.009, 0.3? 0.3 What is the fourth biggest value in 466, -0.3, -3, -0.1, 0, -0.01? -0.1 What is the fourth biggest value in 2/11, 19, 0.2, 20, -16/3? 2/11 Which is the third biggest value? (a) -2/7 (b) -35 (c) 0.1 (d) -5 (e) -633 d Which is the second biggest value? (a) 0.3 (b) -5 (c) -976 (d) -3 (e) 5 a What is the second biggest value in 29, -309, -0.5, -2/7, 4? 4 Which is the third biggest value? (a) -0.3 (b) 602 (c) 1/82 a What is the fifth smallest value in -0.0329, -0.2, -2.9, 1, -0.5? 1 Which is the smallest value? (a) -0.2 (b) 0.4 (c) -1.02 (d) -2/11 (e) 0.04 c What is the biggest value in 4.2, 277, -2, 4, -1/5? 277 What is the biggest value in 174, 11, -5, -42/5? 174 What is the sma
{ "pile_set_name": "DM Mathematics" }
030 In base 8, what is -376 + -4? -402 In base 6, what is -3000 - 5? -3005 In base 12, what is 4 + 149? 151 In base 9, what is 1418 + -3? 1415 In base 6, what is -20 + -103? -123 In base 2, what is 0 + -1101110100? -1101110100 In base 6, what is 43 - 4? 35 In base 10, what is -2 + -718? -720 In base 2, what is -1000111 + -10100? -1011011 In base 7, what is 0 - 444? -444 In base 11, what is 5 + 2376? 2380 In base 10, what is 9065 + 4? 9069 In base 5, what is 1131 + 104? 1240 In base 12, what is -5320 - -3? -5319 In base 12, what is -83b2 + 5? -83a9 In base 11, what is -229 + -3? -231 In base 6, what is 5124 - -1? 5125 In base 14, what is -247 - 5? -24c In base 10, what is -64 + -17? -81 In base 14, what is -5 - -137? 132 In base 11, what is 2 - 102? -100 In base 11, what is 46 + 7? 52 In base 9, what is 4 - -7? 12 In base 5, what is 2313 + -13? 2300 In base 13, what is 9a - 3? 97 In base 10, what is 38 - 55? -17 In base 9, what is -32 + -5? -37 In base 9, what is -324 - -3? -321 In base 16, what is -20 - -11? -f In base 4, what is 3 - -1122? 1131 In base 11, what is -31 - 0? -31 In base 6, what is 102 + -4? 54 In base 2, what is -1000111 + -110? -1001101 In base 12, what is 0 - -2b2? 2b2 In base 15, what is -2 - 183d? -1840 In base 10, what is -1226 + 17? -1209 In base 11, what is 30 - -9? 39 In base 4, what is 1 + 323? 330 In base 14, what is 8 + 159? 163 In base 11, what is 0 + 87? 87 In base 7, what is -6016 - 3? -6022 In base 2, what is -10011110101 - 100? -10011111001 In base 11, what is -199 + -4? -1a2 In base 8, what is -16456 + -5? -16463 In base 10, what is -411 - -5? -406 In base 14, what is -a0 - 4? -a4 In base 9, what is -32 - -10? -22 In base 10, what is -13 + -34? -47 In base 4, what is -123 + 120? -3 In base 3, what is -102 - 220? -1022 In base 10, what is 129 + 85? 214 In base 10, what is -928 - 1? -929 In base 9, what is 15 - -18? 34 In base 10, what is -46 + 55? 9 In base 2, what is 101 - -1? 110 In base 2, what is -1100110 - 1100? -1110010 In base 16, what is 1c + 1? 1d In base 16, what is e52 + -1? e51 In base 3, what is 1012202 + -11? 1012121 In base 15, what is -3 + 28? 25 In base 13, what is b + 32c? 33a In base 15, what is -227 - -5? -222 In base 11, what is -58 - 3? -60 In base 9, what is -17 + 26? 8 In base 9, what is -52 + 4? -47 In base 8, what is 136 - 73? 43 In base 10, what is -2 + -1508? -1510 In base 14, what is 4c - -39? 87 In base 4, what is 1 + 23? 30 In base 15, what is 7 + -2a? -23 In base 7, what is -32511 + 5? -32503 In base 10, what is -234 + 2? -232 In base 2, what is -1100010 - 11? -1100101 In base 14, what is -5 + 114? 10d In base 7, what is 34 + 3? 40 In base 12, what is 12 - 2? 10 In base 8, what is -35 + -37? -74 In base 16, what is -220 + 3? -21d In base 6, what is -2 - 221? -223 In base 9, what is 157 - 40? 117 In base 12, what is -4 + 198? 194 In base 15, what is -9 + d41? d37 In base 12, what is 126 - -10? 136 In base 5, what is -10 + 20? 10 In base 5, what is 34 - -404? 443 In base 4, what is 2121 + -2? 2113 In base 11, what is 7 - 1? 6 In base 8, what is -1672 + 4? -1666 In base 16, what is -1 + -c4? -c5 In base 13, what is b + -1c6? -1b8 In base 2, what is -10010000 - 101? -10010101 In base 7, what is -60 + 6? -51 In base 12, what is 3 - -199? 1a0 In base 16, what is 3 - -60? 63 In base 2, what is -11000 + -11001100? -11100100 In base 16, what is -36 + 0? -36 In base 8, what is 7 - 237? -230 In base 5, what is 3 - -2132? 2140 In base 7, what is -4 + 144? 140 In base 12, what is -4 - 72? -76 In base 3, what is 2110 - -2? 2112 In base 12, what is -838 + 7? -831 In base 5, what is 43111 - 3? 43103 In base 5, what is -330 - -111? -214 In base 15, what is -3c - 19? -56 In base 8, what is 2 + -44? -42 In base 3, what is -20121 - -1122? -11222 In base 6, what is -4 - -155? 151 In base 4, what is -2322 - -1? -2321 In base 5, what is 42 + -3200? -3103 In base 12, what is -27 + 1? -26 In base 15, what is 51 - -67? b8 In base 6, what is 14 - -42? 100 In base 8, what is -140 + -4? -144 In base 7, what is -1 - 56? -60 In base 10, what is 2 - -863? 865 In base 11, what is -2 - -38? 36 In base 9, what is 7 + 24? 32 In base 8, what is -4 + -65? -71 In base 12, what is -1b0 - -11? -19b In base 10, what is 769 - -9? 778 In base 12, what is 2 + 536? 538 In base 11, what is -13 + -170? -183 In base 5, what is -2 + -10121? -10123 In base 4, what is 2 + -203? -201 In base 8, what is -151 + -2? -153 In base 5, what is -3 + -422? -430 In base 4, what is 2 - 120012? -120010 In base 7, what is -1413 - 2? -1415 In base 16, what is -c84 - 4? -c88 In base 9, what is 7113 - 5? 7107 In base 5, what is 33111 - -2? 33113 In base 8, what is 340 + -13? 325 In base 8, what is -15 - 166? -203 In base 10, what is 16 - -1? 17 In base 12, what is -a5b + 2? -a59 In base 6, what is -120 + -151? -311 In base 16, what is 20f - -8? 217 In base 7, what is -32341 - 1? -32342 In base 11, what is 5 - -a? 14 In base 16, what is -18e - -5? -189 In base 16, what is 4 + -1cd? -1c9 In base 13, what is -257 + -5? -25c In base 11, what is -5 - 350? -355 In base 7, what is -33 + 10? -23 In base 14, what is 0 - 416? -416 In base 8, what is 1 - -63? 64 In base 8, what is -1 - 71? -72 In base 15, what is 1d3 - 4? 1ce In base 14, what is -a5 - 5? -aa In base 9, what is 553 + -4? 548 In base 9, what is -2 - -1085? 1083 In base 15, what is 1 + 12c? 12d In base 11, what is 19 - 5? 14 In base 13, what is 1612 - 5? 160a In base 5, what is 2424 + -1? 2423 In base 6, what is -145 - -10? -135 In base 2, what is -10 + -100110? -101000 In base 11, what is 3 - -104? 107 In base 10, what is -2 + 25? 23 In base 2, what is 1111100010 + -10? 1111100000 In base 2, what is 101 - 1000? -11 In base 11, what is 28 - 36? -9 In base 3, what is 2112 + 11? 2200 In base 4, what is -213031 - -11? -213020 In base 3, what is -2 + -1201? -1210 In base 10, what is 2 - -31? 33 In base 15, what is 1 - -6d? 6e In base 2, what is 100 - -1010001111? 1010010011 In base 5, what is 303 + 1? 304 In base 15, what is -2c - -3e? 12 In base 3, what is -201111001 + 2? -201110222 In base 7, what is 152 + 304? 456 In base 3, what is -2010020 - 11? -2010101 In base 8, what is -4 + -674? -700 In base 15, what is -3 + -47? -4a In base 8, what is 0 + 1300? 1300 In base 4, what is 30023 - -1? 30030 In base 10, what is -1155 + -5? -1160 In base 2, what is 0 + 10101001? 10101001 In base 5, what is -313 - 14? -332 In base 11, what is 39 + 106? 144 In base 6, what is 4 + 330? 334 In base 10, what is -21 + -284? -305 In base 5, what is 30 + 121? 201 In base 8, what is -126 + 5? -121 In base 5, what is 2013 + 2? 2020 In base 8, what is 3316 - 3? 3313 In base 5, what is 140 - -2? 142 In base 12, what is 2 - -391? 393 In base 13, what is -119 - 5? -121 In base 10, what is -1 - 3816? -3817 In base 15, what is -489 + -b? -495 In base 4, what is -1 + 10213? 10212 In base 2, what is 1101100 + 100? 1110000 In base 6, what is 241 + 1? 242 In base 14, what is 2 + -152? -150 In base 8, what is 542 + 2? 544 In base 15, what is -10e9 - 2? -10eb In base 3, what is -2100011 + 22? -2022212 In base 16, what is 2 + -77? -75 In base 6, what is -30 - 121? -151 In base 4, what is -302 + -223? -1131 In base 14, what is -476 + -1? -477 In base 2, what is -1000 - -1011011? 1010011 In base 16, what is -b + 4e? 43 In base 10, what is -5 - -379? 374 In base 5, what is 0 + -2103? -2103 In base 9, what is -5 - -113? 107 In base 2, what is 100110 - 1011? 11011 In base 2, what is 1 + -100101110? -100101101 In base 16, what is -5 - -d05? d00 In base 4, what is -20120 - 120? -20300 In base 5, what is 4443 - -2? 10000 In base 14, what is 15 - 60c? -5d7 In base 12, what is 6 + -3a? -34 In base 10, what is 1 - 7008? -7007 In base 8, what is 0 + -101? -101 In base 3, what is 2022 + -20? 2002 In base 4, what is -212002 - -11? -211331 In base 14, what is 26 + 1? 27 In base 10, what is -2 + -28? -30 In base 8, what is 10 + -13? -3 In base 11, what is 47 + -54? -8 In base 11, what is 256 + -2? 254 In base 5, what is -2 + -231? -233 In base 8, what is 2 + 102? 104 In base 7, what is 1 - 516? -515 In base 10, what is 72 - -19? 91 In base 3, what is 10 - 20010? -20000 In base 5, what is 432 - -1? 433 In base 10, what is 2 - -47? 49 In base 4, w
{ "pile_set_name": "DM Mathematics" }
5*u. What is the remainder when u is divided by 12? 8 Let h be (-6)/(-4)*-2*1 + -13. Calculate the remainder when 111 is divided by (-3)/(-1) + (0 - 1)*h. 16 Suppose -14 - 15 = -c. What is the remainder when 492 is divided by c? 28 Let c(f) = -15 + 7 - 20*f - 9. What is the remainder when c(-3) is divided by 23? 20 What is the remainder when 88 is divided by ((-432)/42)/((-24)/84)? 16 Suppose 0 = 2*m + 2*k - 84, -3*k - 2*k = -5. Let d = -61 - -34. Let h = d - -41. What is the remainder when m is divided by h? 13 Suppose -3*k - 2*b + 22 = 0, 5*k + 2*b = 59 - 25. What is the remainder when 41 is divided by k? 5 Let g = -1 - 0. What is the remainder when 54/9 + (5 - -36) is divided by ((-4)/(-3))/(g/(-9))? 11 Suppose 2*o + 2 = -0*o, 0 = 3*d + 3*o - 75. Let s = 9 - 5. Calculate the remainder when ((-107)/s - -1)*-4 is divided by d. 25 Let t(o) = o**3 - 15*o**2 + 15*o - 17. Let h be t(14). Calculate the remainder when 111 is divided by (-114)/(-9) - 4/h. 13 Suppose 4*n - u - 2*u - 170 = 0, -2*n - 5*u = -98. Let b = -19 + n. Calculate the remainder when 99 is divided by b. 24 Suppose 42*n - 478 - 530 = 0. Calculate the remainder when 1919 is divided by n. 23 Let s(i) = -3*i**3 - 68*i**2 + 136*i**2 - 2*i - 69*i**2 - 6 - 2*i. What is the remainder when 86 is divided by s(-2)? 20 Suppose 3*v - 450 = -2*d, 3*v - v = d - 211. What is the remainder when d is divided by 57? 48 Let b = 11 + 12. Suppose -d + 37 = 4*i - 0, -3*i + 4*d + 23 = 0. Calculate the remainder when b is divided by i. 5 Suppose 0*h = 4*h - 56. Suppose -4*u = -8 - 0, 4*n = -u + 10. Suppose -33 - 44 = -3*d - p, -n*d + 48 = 4*p. Calculate the remainder when d is divided by h. 12 Let f(p) = -p + 15. Let s(w) = 4*w + 1. Let b be s(3). What is the remainder when (42/9)/((-6)/(-9)) is divided by f(b)? 1 Let d(q) = -q**2 - 8*q + 21. Let h be d(-10). What is the remainder when 91 is divided by (-20 + -3)*(h + -2)? 22 Suppose -3*n + 7*n = 44. What is the remainder when 4*(-2)/2 - (-68 - -26) is divided by (-10)/(-5) + n/1? 12 Suppose -24*t = -491 - 181. Calculate the remainder when t is divided by 6. 4 Let r = -86 + 38. Let l = r + 118. What is the remainder when l is divided by 8? 6 Let v = -56 + 57. Calculate the remainder when (v - 4) + (61 - -11) is divided by 24. 21 Calculate the remainder when 127 is divided by ((-88)/16 + 9)/(3/54). 1 Let j = 255 + -235. What is the remainder when 177 is divided by j? 17 Let g = 117 + -3. Suppose -3*y + 0*y + g = 0. What is the remainder when y is divided by 13? 12 Suppose 1405 + 18835 = 44*i. Calculate the remainder when i is divided by 117. 109 Let h(n) = -2*n - 4. Let b be h(4). Let r be 5/30 - 2518/b. Suppose -3*f - 2*f - r = -5*i, f - 142 = -3*i. Calculate the remainder when i is divided by 16. 14 Suppose -6*c = -5*c - 17. Let a = 11 - 11. Suppose 4*u - 185 + 61 = a. Calculate the remainder when u is divided by c. 14 Suppose 7*b = 4*b + n + 22, b - 5*n + 2 = 0. Let o(g) = 18*g - 4. Let x be o(3). Suppose 0 = 13*c - b*c - x. What is the remainder when 49 is divided by c? 9 Suppose 7 + 8 = 3*n. Suppose -n*k = -z - 9, -4*z + k + 39 = 6*k. Calculate the remainder when z is divided by 1. 0 Suppose -7*y + 121 = 23. Calculate the remainder when 50 is divided by y. 8 Suppose 2*f - 18 + 10 = 0. Suppose 0 = -2*y + f*y + 288. Calculate the remainder when (3/6)/((-2)/y) is divided by 19. 17 Suppose 3*f = r + 11, 4*f + 5*r = 23 - 2. What is the remainder when 51 is divided by 96/12*13/f? 25 Let g(k) = 2*k**3 - 3*k**2 + 3*k. Calculate the remainder when ((-14)/(-28))/(1/74) is divided by g(2). 7 Let l = -36 - -71. Calculate the remainder when 117 is divided by l. 12 Let u(m) = 4*m + 19. Let k be u(-4). Suppose -4*t - 55 = -z - t, k*t - 15 = 0. Calculate the remainder when z is divided by 24. 22 Let u(h) = h**2 + 8. Let t be u(8). Suppose 0*o - t = -4*o. Suppose -3*k + 188 = -25. Calculate the remainder when k is divided by o. 17 What is the remainder when 84 is divided by 840/(-14)*3/(-5)? 12 Let q(b) = 13*b + 7. Let f be q(-2). Suppose -3*h = -2*m, 2*h + 0 = 2*m + 2. Calculate the remainder when 58 is divided by 2 - (-1 + (f - h)). 18 Let q be 1/((2 - -1)/21). Let w be 7 + -4 + q + -1. Suppose 0 = -3*n + 2*n + w. What is the remainder when n is divided by 5? 4 Let k(t) = -14*t + 3. Let r be k(-1). Let p = 28 + r. What is the remainder when p is divided by 16? 13 Suppose 5*q - 4 = 3*q. Suppose -3*p - 48 = q*w, -16 = p - 0*w - 2*w. Calculate the remainder when (-2)/2 + p/(-1) is divided by 4. 3 Let s = 115 - 66. Calculate the remainder when s is divided by (-9 + 35/10)*-2. 5 Suppose 15*c = -c + 304. What is the remainder when (27/(-3))/3 - -78 is divided by c? 18 Let j(u) = 7 + 9*u - 1 + 2*u**2 - 1. Suppose -61 = -4*k + 5*n, -5*k - 2*n + 67 = n. What is the remainder when j(-7) is divided by k? 12 Let f(r) = -r**2 - 21*r + 23. Let z = -99 + 78. Calculate the remainder when 45 is divided by f(z). 22 Suppose -4*o + 4 = 0, 30 = 5*m - 5*o - 15. Calculate the remainder when 168 is divided by m. 8 Suppose -3*w = -15, -5*c - 5*w + 91 = -84. Suppose -c = -3*z + 3*d, -4*z + 3*d = -18 - 18. What is the remainder when z is divided by 5? 1 Let h(i) = -7*i + 118. Let a(j) = 9*j**2 - 2*j + 1. What is the remainder when a(2) is divided by h(15)? 7 What is the remainder when 123 is divided by (84/(-10))/(28/(-210))? 60 Suppose -k - 116 = -433. What is the remainder when k is divided by 20? 17 Let x = -88 + 155. Let u = -85 + 154. Suppose -3*d = -6*d + u. What is the remainder when x is divided by d? 21 Suppose -4*f - 4*c - 5 = 3, -4*f = 2*c. Let v = f + 12. What is the remainder when 27 is divided by v? 13 Suppose -48 = 744*q - 745*q. Let m(b) = b**2 + 94. What is the remainder when m(0) is divided by q? 46 Let d = -31 - -59. Suppose -50 - 116 = -2*z. What is the remainder when z is divided by d? 27 Suppose 0 = -2*f + 10, 6*d - 3*f - 29 = 2*d. Suppose -3*s + d = -31. What is the remainder when 39 is divided by s? 11 Suppose 24*v = 25*v. Let i be (-1 - (v + -4))*11. Let o = i + -4. Calculate the remainder when o is divided by 6. 5 Let c(g) = g**2 - 12*g + 13. Let w be c(10). Let f(q) = -8*q + 26. Let u be f(7). Let s = w - u. Calculate the remainder when 67 is divided by s. 21 Let u(q) be the first derivative of -q**3/3 - 7*q**2/2 + 10*q + 10. What is the remainder when 76 is divided by u(-5)? 16 Let p = -17 + 24. Let s(w) = 5*w**2 - 5 + 7*w + 2*w - 6*w**2 + 0. What is the remainder when p is divided by s(8)? 1 Let f(q) = -6*q - 1. Let k be f(-1). Let g be 2/(-12) - (-184)/(-48). What is the remainder when 13 is divided by k - (-2)/(g/(-6))? 5 Let t = 101 + -79. Calculate the remainder when 84 is divided by t. 18 Suppose z - 3*p = -6*p + 42, -4*z - 2*p = -148. What is the remainder when 206 is divided by z? 26 Let q be ((-4)/14)/(16/(-336)). Calculate the remainder when 37/3 + 4/q is divided by 5. 3 Let m(j) = j**2 - 15*j + 16. Let h(r) = r - 6. What is the remainder when m(14) is divided by h(7)? 0 Let r = 568 - 550. What is the remainder when 122 is divided by r? 14 Let w = 1044 + -551. Calculate the remainder when w is divided by 101. 89 Suppose -5 = 5*q, 8*q + 161 = 4*h + 3*q. Let p(b) = -h - 36*b + 40 + 14*b. What is the remainder when p(-3) is divided by 14? 11 Let b be ((-162)/(-12))/9*(-40)/(-6). Calculate the remainder when 13 is divided by 48/b + 8/(-10). 1 Let b(v) = -v**3 - 2*v**2 - 1. Let w be b(-2). Let r be (-8 + 9)/(w/(-8)). Let k = 5 + r. Calculate the remainder when 24 is divided by k. 11 Suppose 3*k + 2*k = 5*u - 315, 65 = u - 2*k. Let v = -9 + u. Calculate the remainder when v is divided by 14. 10 Let i = 236 + -185. What is the remainder when i is divided by 14? 9 Let p be ((-3)/(-3) - -1)/(-1). Let b = p - -53. Calculate the remainder when b is divided by 27. 24 Let m = -2 - -27. Let g(y) = y**2 + 2*y + 4. Let u be g(0). What is the remainder when m is divided by (12 - u) + (2 - 1)? 7 Suppose 5*c + 16 = 2*k, 5*k - 7 = -2*c - 2*c. Suppose -2*t = 3*r - 1 - 1, -1 = -4*r - t. Suppose 33 = -r*j + k*j. What is the remainder when 20 is divided by j? 9 Suppose -192 = -4*c + 3*i, c - 6*c + 240 = 4*i. Suppose 154 = a + 144. What is the remainder when c is divided by a? 8 Let j(p) = -12*p**3 + 3*p**2 + 2*p. What is the remainder when j(-1) is divided by 7? 6 Let q =
{ "pile_set_name": "DM Mathematics" }
Find i such that 3*i**5 - 39*i**4 - 141*i**3 - 57*i**2 + 138*i + 96 = 0. -2, -1, 1, 16 Factor -3*q**2/7 + 720*q/7 - 43200/7. -3*(q - 120)**2/7 Determine i, given that i**4/4 - 20*i**3 + 759*i**2/2 + 820*i + 1681/4 = 0. -1, 41 Factor 9*n**3 + 843*n**2 - 1137*n + 285. 3*(n - 1)*(n + 95)*(3*n - 1) Find b, given that -22*b**5 - 80*b**4 + 146*b**3 + 204*b**2 = 0. -51/11, -1, 0, 2 What is g in 3*g**4 + 144*g**3 - 312*g**2 - 576*g + 1200 = 0? -50, -2, 2 Factor b**5/2 + 73*b**4 + 6903*b**3/2 + 47725*b**2 - 238750*b + 187500. (b - 3)*(b - 1)*(b + 50)**3/2 Factor -4*j**2/7 + 64/7. -4*(j - 4)*(j + 4)/7 Factor 3*q**5/8 + 3*q**4/4 - 9*q**3/4 - 15*q**2/2 - 57*q/8 - 9/4. 3*(q - 3)*(q + 1)**3*(q + 2)/8 Let 2*s**4/9 + 10*s**3/3 - 4*s**2 - 64*s/9 = 0. What is s? -16, -1, 0, 2 Factor -5*b**4 - 45*b**3 - 130*b**2 - 120*b. -5*b*(b + 2)*(b + 3)*(b + 4) Factor -g**2 - 9*g - 81/4. -(2*g + 9)**2/4 Factor -r**3/3 - 103*r**2 - 308*r/3. -r*(r + 1)*(r + 308)/3 Factor -4*r**3 - 92*r**2 - 704*r - 1792. -4*(r + 7)*(r + 8)**2 Solve -15*u**5 + 48*u**4 - 54*u**3 + 24*u**2 - 3*u = 0. 0, 1/5, 1 What is n in 2*n**4 + 4*n**3 - 6*n**2 - 8*n + 8 = 0? -2, 1 Determine a so that 2*a**2/9 - 38*a/9 + 4 = 0. 1, 18 What is z in -14*z**5 + 24*z**4 + 232*z**3 - 384*z**2 - 128*z = 0? -4, -2/7, 0, 2, 4 Factor o**3/2 - 11*o**2/4 + o/2 + 15/4. (o - 5)*(o + 1)*(2*o - 3)/4 What is k in -2*k**5/3 + 11*k**4/6 + 31*k**3/6 - 101*k**2/6 + 15*k/2 + 3 = 0? -3, -1/4, 1, 2, 3 Factor 4*l**3 - 2232*l**2/5 + 61824*l/5 + 25088/5. 4*(l - 56)**2*(5*l + 2)/5 Suppose 4*g**5 - 68*g**4 + 312*g**3 - 128*g**2 - 512*g = 0. Calculate g. -1, 0, 2, 8 Suppose 2*v**5/5 - 6*v**4/5 - 4*v**3 + 104*v**2/5 - 144*v/5 + 64/5 = 0. Calculate v. -4, 1, 2 What is t in 4*t**4 + 24*t**3 - 128*t = 0? -4, 0, 2 Determine z so that 2*z**2/17 + 152*z/17 + 150/17 = 0. -75, -1 Factor -w**5 - 5*w**4 - 4*w**3 + 16*w**2 + 32*w + 16. -(w - 2)*(w + 1)*(w + 2)**3 Factor 3*n**4 - 3*n**3 - 78*n**2 - 72*n. 3*n*(n - 6)*(n + 1)*(n + 4) Solve 4*s**4 + 60*s**3 + 252*s**2 + 196*s = 0 for s. -7, -1, 0 Factor 4*j**2/3 - 14696*j/3. 4*j*(j - 3674)/3 Factor 4*p**2 + 44*p - 104. 4*(p - 2)*(p + 13) Factor -2*q**4 + 12*q**3 - 18*q**2 + 8*q. -2*q*(q - 4)*(q - 1)**2 Determine b so that 2290*b**2/7 - 4576*b/7 - 8/7 = 0. -2/1145, 2 What is t in -5*t**3 - 515*t**2 - 13515*t - 13005 = 0? -51, -1 Factor 2*d**5/3 - 100*d**4/3 + 376*d**3/3 - 368*d**2/3. 2*d**2*(d - 46)*(d - 2)**2/3 Find g, given that -2*g**3/9 + 20*g**2/9 + 38*g = 0. -9, 0, 19 Factor 5*c**3/6 + 31*c**2/12 - 17*c/6 + 2/3. (c + 4)*(2*c - 1)*(5*c - 2)/12 Factor -q**5/8 + q**3/4 - q/8. -q*(q - 1)**2*(q + 1)**2/8 Factor -2*j**3/3 + 7*j**2/3 + 13*j/3 - 6. -(j - 1)*(j + 2)*(2*j - 9)/3 Factor 3*z**2 - 534*z + 23763. 3*(z - 89)**2 Factor -3*f**2/8 - 105*f/2 - 3675/2. -3*(f + 70)**2/8 Solve -4*b**2/3 - 72*b - 2432/3 = 0 for b. -38, -16 Solve 2*h**5 + 16*h**4 + 6*h**3 - 64*h**2 - 56*h = 0 for h. -7, -2, -1, 0, 2 Determine u, given that -u**3 - 5*u**2 + 44*u - 60 = 0. -10, 2, 3 Find u, given that 2*u**2 - 2884*u = 0. 0, 1442 What is t in -t**4/8 + 75*t**3/8 - 73*t**2/4 = 0? 0, 2, 73 Solve -4*w**4/7 + 52*w**3/7 + 12*w**2/7 - 148*w/7 - 104/7 = 0. -1, 2, 13 Factor -2*i**4 - 4*i**3 + 22*i**2 + 24*i - 72. -2*(i - 2)**2*(i + 3)**2 Factor -1600*s**3 + 3680*s**2 + 924*s - 4356. -4*(s + 1)*(20*s - 33)**2 Factor 5*f**2/3 - 230*f/3 + 75. 5*(f - 45)*(f - 1)/3 Determine y, given that y**3 + 7*y**2 - 30*y = 0. -10, 0, 3 Determine q so that -77*q**2/4 + 541*q/4 - 7/2 = 0. 2/77, 7 Let -4*f**3/9 - 244*f**2/3 - 728*f/9 = 0. Calculate f. -182, -1, 0 Solve -2*l**5/5 - 28*l**4/5 - 24*l**3 - 144*l**2/5 = 0 for l. -6, -2, 0 Factor 4*p**4 - 48*p**3 - 244*p**2 - 192*p. 4*p*(p - 16)*(p + 1)*(p + 3) Factor u**3 + 107*u**2 + 2808*u - 2916. (u - 1)*(u + 54)**2 Factor -24*o**5 + 214*o**4 - 630*o**3 + 594*o**2 + 54*o. -2*o*(o - 3)**3*(12*o + 1) Determine t so that -2*t**4/11 - 216*t**3/11 - 5384*t**2/11 + 24192*t/11 - 25088/11 = 0. -56, 2 Let -21*f**2/4 - f/2 = 0. Calculate f. -2/21, 0 Solve x**4 + 2*x**3 - 2*x - 1 = 0 for x. -1, 1 Find x, given that -x**2/2 - 2*x + 5/2 = 0. -5, 1 Suppose -5*x**3 - 135*x**2 + 4200*x - 23500 = 0. What is x? -47, 10 Determine y so that -y**4 - 2*y**3 + 3*y**2 + 8*y + 4 = 0. -2, -1, 2 Factor 2*f**5/9 + 4*f**4/9 + 2*f**3/9. 2*f**3*(f + 1)**2/9 Factor 2*n**4/17 - 48*n**3/17 + 396*n**2/17 - 1296*n/17 + 1458/17. 2*(n - 9)**2*(n - 3)**2/17 Find v, given that -v**4 + v**3 + 7*v**2 - 13*v + 6 = 0. -3, 1, 2 Factor -4*o**2 - 3784*o + 3788. -4*(o - 1)*(o + 947) Solve -2*n**4/13 + 40*n**3/13 + 2*n**2/13 - 40*n/13 = 0 for n. -1, 0, 1, 20 Let -2*j**3/9 + 38*j**2/9 - 22*j + 18 = 0. What is j? 1, 9 Suppose -t**3 - 30*t**2 - 300*t - 1000 = 0. What is t? -10 Factor -5*w**3 - 25*w**2 + 85*w + 105. -5*(w - 3)*(w + 1)*(w + 7) Find i such that -i**5/6 + 3*i**4/2 + i**3/3 - 3*i**2 - i/6 + 3/2 = 0. -1, 1, 9 Suppose 3*x**4 + 99*x**3 + 789*x**2 + 693*x = 0. What is x? -21, -11, -1, 0 Solve 2*n**5/3 + 2*n**4 - 104*n**3/3 + 320*n**2/3 - 128*n + 160/3 = 0 for n. -10, 1, 2 Find t such that -2*t**2 + 374*t + 1140 = 0. -3, 190 Solve -k**2 + 23*k - 90 = 0 for k. 5, 18 Factor -2*n**5/13 + 108*n**4/13 - 1944*n**3/13 + 11664*n**2/13. -2*n**2*(n - 18)**3/13 Factor 2*x**3/11 - 54*x**2/11 - 56*x/11. 2*x*(x - 28)*(x + 1)/11 Factor -2*w**3/13 + 394*w**2/13 + 1600*w/13 + 1608/13. -2*(w - 201)*(w + 2)**2/13 Suppose 3*j**3/4 - 51*j**2/8 - 699*j/8 - 42 = 0. What is j? -7, -1/2, 16 What is y in -2*y**5/7 + 8*y**4/7 + 52*y**3/7 - 64*y**2/7 - 50*y/7 + 8 = 0? -4, -1, 1, 7 Factor 2*l**3/15 + 40*l**2/3 + 5194*l/15 + 9604/15. 2*(l + 2)*(l + 49)**2/15 Factor -5*s**4 - 90*s**3 - 80*s**2 + 90*s + 85. -5*(s - 1)*(s + 1)**2*(s + 17) Factor 2*c**2/23 + 408*c/23 + 808/23. 2*(c + 2)*(c + 202)/23 Let -q**5/3 - 17*q**4/3 - 106*q**3/3 - 290*q**2/3 - 325*q/3 - 125/3 = 0. Calculate q. -5, -1 Factor -2*q**2/9 - 328*q/9 - 326/9. -2*(q + 1)*(q + 163)/9 Factor 12*a**5 - 184*a**4 + 60*a**3. 4*a**3*(a - 15)*(3*a - 1) Find a such that 4*a**5 - 2088*a**4 + 409760*a**3 - 35963200*a**2 + 1212744000*a - 2284880000 = 0. 2, 130 Factor -2*j**3 - 100*j**2 - 1186*j + 1288. -2*(j - 1)*(j + 23)*(j + 28) Find s, given that s**4/2 - 6*s**2 + 8*s = 0. -4, 0, 2 Let -i**3/6 + 13*i**2/6 - 23*i/6 + 11/6 = 0. Calculate i. 1, 11 Solve -4*m**5 + 84*m**4 - 77*m**3 - 62*m**2 + 39*m + 20 = 0 for m. -1/2, 1, 20 Suppose -25*m**5/2 - 270*m**4 - 640*m**3 - 425*m**2 + 105*m/2 + 95 = 0. What is m? -19, -1, 2/5 Factor -6*s**3 + 8*s**2 - 2*s. -2*s*(s - 1)*(3*s - 1) Determine a so that -4*a**3 - 4*a**2 + 48*a = 0. -4, 0, 3 Find g, given that -2*g**2/13 - 998*g/13 - 1988/13 = 0. -497, -2 Factor -m**5 + 19*m**4 - 17*m**3 - 19*m**2 + 18*m. -m*(m - 18)*(m - 1)**2*(m + 1) Suppose 3*h**4/5 - 12*h**3/5 + 3*h**2 - 6*h/5 = 0. Calculate h. 0, 1, 2 Suppose 3*z**3 - 174*z**2 + 1293*z + 1470 = 0. What is z? -1, 10, 49 Find d, given that -24*d**4/7 - 166*d**3/7 - 274*d**2/7 + 24*d/7 = 0. -4, -3, 0, 1/12 Let -2*z**4/3 + 8*z**3/3 + 2*z**2/3 - 8*z/3 = 0. Calculate z. -1, 0, 1, 4 Determine o, given that 3*o**2 - 192*o - 195 = 0. -1, 65 Find c such that -12*c**2/7 - 520*c/7 - 172/7 = 0. -43, -1/3 Factor 3048*a**3 + 956*a**2 - 20*a. 4*a*(3*a + 1)*(254*a - 5) Find a, given that 162*a**5/5 - 118179*a**4/5 + 294813*a**3/5 - 274962*a**2/5 + 113436*a/5 - 17448/5 = 0. 1/2, 2/3, 727 Find k, given that -3*k**5/5 + 3*k**4 - 18*k**3/5 - 12*k**2/5 + 24*k/5 = 0. -1, 0, 2 What is x in -5*x**3 + 522*x**2 - 13728*x + 5408 = 0? 2/5, 52 Factor -2*d**2/5 + 1022*d/5 - 3048/5. -2*(d - 508)*(d - 3)/5 Find q such that -2*q**3 - 476*q**2 + 3904*q - 7872 = 0. -246, 4 Factor p**5 - 3*p**4 + 4*p**2. p**2*(p - 2)**2*(p + 1) Solve -40*d**5 - 474*d**4 + 620*d**3 + 264*d**2 - 292*d - 78 = 0. -13, -3/5, -1/4, 1 Let -i**2/5 - 5376*i/5 - 7225344/5 = 0. Calculate i. -2688 Factor -2*r**2/5 + 14836*r/5 - 27513362/5. -2*(r - 3709)**2/5 Let 2*s**2 + 162*s - 860 = 0. What is s? -86, 5 Find n, given that 3*n**3 - 513*n**2 - 2628*n - 2112 = 0. -4, -1, 176 Suppose -t**3 + 2751*t**2 - 2522667*t + 771095213 = 0. Calculate t. 917 Suppose 5*j**4 + 1055*j**3 - 4300*j**2 = 0. What is j? -215, 0, 4 Suppose 5*k**5 + 40*k**4 + 105*k**3 + 110*k**2 + 40*k = 0. Calculate k. -4, -2, -1, 0 Find c, given that 3*c**3 - 168*c**2 + 2352*c = 0. 0, 28 Solve q**5/4 + q**4/4 - 3*q**3/4 - q**2/4 + q
{ "pile_set_name": "DM Mathematics" }
digit of y? 0 Let d(p) = -2*p**3 - 3*p**2 + 9*p + 142. What is the units digit of d(-13)? 2 Let n be (-2)/3*(-6)/4. Suppose -2 - 2 = 2*u, 3*d - n = -4*u. Suppose -k - 2*x + x = -60, 0 = -4*k - d*x + 244. What is the units digit of k? 4 Let c(r) = 8*r**2 - 1. Let s be c(-7). Let x = s - 282. What is the tens digit of x? 0 Let a(g) = -18*g**3 + 16*g**2 + 71*g - 3. What is the thousands digit of a(-8)? 9 Let b be -1 - -2*(-21)/14. What is the units digit of (412 + -5)*(6 + b)? 4 Let u(k) = -k**2 + 7*k + 6. Let f be u(4). Let p(l) = -2*l + 18. Let b be p(f). What is the tens digit of ((-3)/(-1) - b)*(-69)/(-9)? 6 What is the thousands digit of ((-66357)/3)/(2 - 5)? 7 Let h = -242 - -210. What is the thousands digit of 7422*(-8)/h*(-2)/(-3)? 1 Let s = 766 + -1939. What is the tens digit of 6/4 - s/6? 9 Suppose -216*b = -303*b + 241077. What is the tens digit of b? 7 Let b = 275 - 51. Suppose b = c - 71. What is the units digit of c? 5 Let x(v) = 14*v**2 - 43*v + 4. Let t be x(3). What is the hundreds digit of 841 - t - (-65 - -74)? 8 Let q be 6*1*(-3)/(-3) + (521 - 509). Let i(l) = 2 - 6 + 6*l - 35. What is the tens digit of i(q)? 6 Suppose 4*u + 211*c - 207*c - 119816 = 0, 3*u + 5*c - 89868 = 0. What is the thousands digit of u? 9 Suppose -60*f + 40 = -52*f. What is the tens digit of 585 + 3 + (-35)/f? 8 Suppose 0 = -4*a + 3*d + 93118, 43*d = 5*a + 40*d - 116402. What is the hundreds digit of a? 2 Suppose 9*z = -5*o + 5*z + 432, -3*o - z = -262. What is the tens digit of o? 8 Suppose 6517 = 2*z - 5*z + 2*b, -2*b = 2*z + 4348. Let l = -814 - z. What is the tens digit of l? 5 Suppose 3*z + 10 = 22. Let m be (-9188)/(-14) + z/(-14). Suppose -26*y = -22*y - m. What is the tens digit of y? 6 Suppose 5*h + 5*r = 69356 - 14996, -4*r - 43504 = -4*h. What is the ten thousands digit of h? 1 Let u(c) = 3*c + 4. Let g be u(0). Suppose g*a + f + 1 = 5*a, -3 = -f. Suppose -2*m - 212 - 64 = -4*l, 5*l - a*m - 351 = 0. What is the tens digit of l? 6 Let x be -7*1 + (-11 + 24 - -147). Let f(l) = 8*l + 7. Let t be f(5). Suppose 0 = -48*b + t*b + x. What is the tens digit of b? 5 Let g = 67616 - 46682. What is the units digit of g? 4 Let s = -1 + 5. Suppose 4*w - 7*u - 32 = -22, -u + 18 = -3*w. What is the tens digit of 4 + 102 - (w + s)? 1 Let u(p) = 3*p - 34. Let x be u(12). Let b be (-3 + 15/6)*x - -6. Suppose -b*w + 48 = -187. What is the units digit of w? 7 Suppose -10*r + 2541 - 31 = 0. Suppose -r*d + 1108 = -247*d. What is the hundreds digit of d? 2 Let a(o) = -2*o**3 + 45*o**2 + 25*o - 50. Let y be a(23). What is the hundreds digit of ((-322)/y)/(-7)*-58? 6 Suppose -5*n = 0, -3*f - n = 4*n - 273. Let l = 136 + f. Let r = 368 - l. What is the units digit of r? 1 Let z(g) = -g - 17. Let f(v) = v**3 - 7*v**2 - 2*v - 5. Let b be f(7). Let u be z(b). Suppose 21 = u*c - 49. What is the tens digit of c? 3 Let k = -13431 - -30671. What is the ten thousands digit of k? 1 Let q(l) = -18*l**3 - 3*l**2 - 54*l - 155. What is the tens digit of q(-3)? 6 Let k(d) be the first derivative of d**3/3 - 11*d**2/2 - 48*d - 152. What is the tens digit of k(-23)? 3 Let q(d) = -29*d - 10. Suppose 0*s = -3*j - 2*s + 4, j + 2 = -4*s. Let x be -1 + j/3 + 104/(-12). What is the hundreds digit of q(x)? 2 Suppose -3*w = -5*p + 29, 35 = 5*p - 0*p - 5*w. Suppose 5*b = -2*j - 0*j + 444, -2*j + p*b + 444 = 0. Let y = j + -140. What is the tens digit of y? 8 Let g be 1*(14 + -5) - 4 - 5. Suppose 2*o + 5*z = 419, -o + g*o - 3*z = -207. What is the units digit of o? 2 Let v(s) = -12*s**2 - 13*s - 60. Let g(w) = 2*w**2 + 3*w + 12. Let x(b) = -11*g(b) - 2*v(b). Let m(f) = f - 2. Let d be m(-4). What is the units digit of x(d)? 2 Let s(j) = -18*j**2 - 2 + 27 - 15*j + 39*j**3 - 40*j**3. Let w be s(-17). Let i(x) = x**3 + 8*x**2 - 19*x + 2. What is the units digit of i(w)? 2 Let a be 8/(-72) + 56/18. Let n be -2*652/(-24)*a. Suppose -t + n = -15. What is the hundreds digit of t? 1 Let f(r) = -r**2 + 10*r - 9. Let q be f(3). Let w = 359 + q. What is the tens digit of w? 7 Let a(f) = 25*f**3 + 4*f**2 + f - 4. Let r be a(8). Suppose 15*p + 5*p - r = 0. What is the tens digit of p? 5 Suppose -1502*s = -1486*s - 133744. What is the tens digit of s? 5 Suppose w - 4 = 0, -2*m - 3*w - 2*w = -26. Suppose 67 = u + 3*l - 2*l, -5*u + 345 = m*l. Let n = -36 + u. What is the units digit of n? 6 Suppose 3*y = 4*s + 20384 + 4266, -4*s = 2*y - 16420. What is the tens digit of y? 1 Suppose -5*s + 4*u = -24505, -2*s + 4723 = -u - 5079. What is the thousands digit of s? 4 Suppose -8*q = -135 + 47. What is the hundreds digit of 299 - 4 - (-6 + q)? 2 Let f = -335 - -315. Suppose 5*l + 16 = -4, 5*q - 26 = 4*l. What is the tens digit of -2 + ((-32)/f)/(q/45)? 3 Let l(d) = -211*d + 582. What is the thousands digit of l(-30)? 6 Suppose -7*u = 9 - 23. Let r be (91 + -5)/(u - (-12)/(-5)). Let t = r - -347. What is the hundreds digit of t? 1 Let p be 2*-18*(-4)/(-6). Let a = 15 + -47. What is the tens digit of (138/p + -4)/(2/a)? 5 Suppose 0 = 6*o - 11*o - b + 21226, o = 4*b + 4262. Suppose 109*m - 120*m = -o. What is the hundreds digit of m? 3 Let p be 8/(-28) - (-34242)/42. Suppose -4*l + 3*u + 603 = -1026, 0 = -2*l + u + p. What is the units digit of l? 8 Let n(f) = 14*f + 46. Let i be n(-3). Suppose -4*j + 480 = i*w, 2*j = 3*j - 2*w - 114. What is the hundreds digit of j? 1 What is the tens digit of (-9 - (-559)/65)/((-2)/35440)? 8 Suppose y - 21 = 265. Suppose 468 = -4*i - 5*s, 3*s + 354 = -22*i + 19*i. Let o = i + y. What is the units digit of o? 4 Suppose -6*d + 17638 = -1988. Suppose 11*w - d = -741. What is the hundreds digit of w? 2 Let w = -69 + 101. Suppose 2*p = p - w. Let m = p - -117. What is the units digit of m? 5 Let d be -2 + 2 + -1 + 57. Suppose 4*m - n = -3*n - d, -5*n - 5 = m. Let f(q) = -q**2 - 20*q + 26. What is the hundreds digit of f(m)? 1 Let v = 96 + -229. Let d = 3 - v. What is the units digit of d? 6 Let g = 44 - 49. Let s be (-5)/((-4 - g)*-1). Suppose -4*y + 444 = 5*h, -2*y = -s*h - 0*h - 192. What is the tens digit of y? 0 Let h(s) be the third derivative of 5*s**4/8 - 31*s**3/3 + 30*s**2 - 2. What is the units digit of h(11)? 3 Suppose 0 = 21*x - 66 - 18. Suppose -x*u = -17*j + 18*j - 39, 2*j + 3*u = 63. What is the tens digit of j? 2 Suppose 3*q + 2*h - 16935 = 0, 5*q - 7*h + 12*h - 28225 = 0. What is the hundreds digit of q? 6 Let w = -133 + 83. Suppose -19*n = -15*n + 296. Let i = w - n. What is the units digit of i? 4 Let q = 204 - 204. Suppose s - 93 - 353 = q. What is the units digit of s? 6 Let k(l) = l**2 - 2*l + 1. Suppose -4 = -z - z. Let c be k(z). What is the units digit of 2*(1 - -35) - c? 1 Let h(b) be the first derivative of b**3/3 + 3*b**2 - 13*b + 6. Let y(r) = 9*r - 20. Let a be y(3). What is the tens digit of h(a)? 7 What is the hundreds digit of 57002 + (-14 - (-9 - 11))? 0 Let s(r) = 460*r + 6645. What is the thousands digit of s(27)? 9 Let c(u) = 5*u - 15. Let q be c(4). Let x(g) = -3*g**3 + 5*g**2 - 6*g + 3. Let h be x(q). Let v = -188 - h. What is the units digit of v? 9 What is the tens digit of (-139587)/((-115)/(-5))*(-2)/3? 4 Let o = 72581 - 41720. What is the tens digit of o? 6 Let z be (18/(-36))/(1/10). Let u(d) = -d**3 - 3*d**2 + 10*d. Let l be u(z). What is the units digit of 1*(-3 - l)/(-2 + -1)? 1 Let d(c) = c**3 + 2*c**2 - 4*c + 1. Let u be d(-3). Suppose 5 = 53*o - 52*o. Suppose o*x - 3*x - 300 = -2*t, -750 = -5*x - u*t. What is the hundreds digit of x? 1 Let u(y) = 11*y**2 + 10*y + 19. Let z = 316 - 322. What is the hundreds digit of u(z)? 3 Suppose 3*g - 6 = -2*j, 0*j + j - 5*g + 23 = 0. Let w be (24/9)/(-8)*j. Suppose 41 = l - w. What is the units digit of l? 2 Suppose 2*y = -5*j + 30, -2*y + 2 = 3*j - 12. Suppose -105 = -j*q + 7. What is the units digit of q? 4 Let h = 9800 + -2944. What is the tens digit of h? 5 Suppose -247*c - 4*x + 2730 = -246*c, -4*c + 11015 = -3*x. What is the units digit of c? 0 Suppose 56*s - 1038306 - 3587238 = 0. What is the units digit of s? 9 Let m be ((-3)/(-15))/((-2)/5)*22. Let s be -56*((2 - 1) + m). Suppose -3*a = -4*i + s, 0 = 2*i - 3*a - 144 - 136. What is the units digit of i? 0 Let j be ((-208)/40 + 4)/(2/(-570)). Let d = -331 + j. What is the units digit of d? 1 Let w = 53 + -51. Let t be (6 - -90)/(w + 50/(-28)
{ "pile_set_name": "DM Mathematics" }
at is the fourth biggest value in 198, -4, -0.2, -2/13? -4 What is the second biggest value in -1, -1/3, -39, 0.1, -3076? -1/3 Which is the third smallest value? (a) 34 (b) 0.3 (c) -0.038 (d) 5 (e) 4 e Which is the third biggest value? (a) -2 (b) 0.2 (c) -3/9859 a What is the second biggest value in 6, -107.73, -0.4? -0.4 What is the second smallest value in 3, -0.1, -142235? -0.1 Which is the fifth biggest value? (a) -5 (b) 1 (c) -0.3 (d) 10882 (e) -0.4 a Which is the second biggest value? (a) -5/3 (b) 29 (c) -2 (d) -1 (e) -231 (f) -0.5 f What is the fifth smallest value in -0.2, -4, 90, 2/7, 1/8? 90 What is the second smallest value in -2, -4, -1/4, 2, -1/839? -2 What is the fourth biggest value in -0.3, 2/7, -0.5, -10, -10/3? -10/3 What is the second biggest value in 0.3, -1963, -4, -63? -4 What is the third biggest value in 2/15, -0.213, 5, 0.6? 2/15 Which is the sixth smallest value? (a) -4 (b) -20 (c) 4 (d) 0.2 (e) 1/35 (f) 5 f What is the third biggest value in -5, 39, 6.744? -5 What is the smallest value in 5, 3, -1/3, -13, 0.09, -1/12? -13 Which is the biggest value? (a) 1.1 (b) 0 (c) -5/4 (d) -6 (e) 1/15 a What is the third smallest value in 55/3, 74, 2/9? 74 What is the third biggest value in 12, 1, -6.08, 2/15? 2/15 What is the biggest value in -10, 1.67, 2, -15/4? 2 Which is the second biggest value? (a) 2 (b) 3/79 (c) 2/19 (d) 0 (e) 5 a Which is the fifth biggest value? (a) -7 (b) 1 (c) 3 (d) -3 (e) 3/11 (f) -122 a What is the second smallest value in -2, -1/309, -23/5? -2 Which is the second smallest value? (a) -3 (b) 7/4 (c) -45 a Which is the third smallest value? (a) 5 (b) -0.2 (c) 2 (d) -26 (e) 5/7 (f) 0.19 f What is the fourth smallest value in -48, 6, -0.07, 0.5? 6 Which is the third biggest value? (a) 78 (b) 2/21 (c) 3/1019 c What is the third biggest value in 0.04, 0, 0.608? 0 What is the third biggest value in -2/7, 76, 3? -2/7 What is the smallest value in 14, -1, 323.1, 12, 5? -1 What is the second smallest value in -1, 4994, 1/2, 3/5? 1/2 Which is the fourth smallest value? (a) 11 (b) -36 (c) 2 (d) 0.02 (e) -4 c Which is the second biggest value? (a) 8/33 (b) -45 (c) -7/3 c Which is the second smallest value? (a) -7600 (b) -0.5 (c) -0.7 c What is the smallest value in 2/11, -2/9, 0.1, 20.678, 0.4? -2/9 What is the fourth smallest value in -2, -0.00205, -0.2, -5? -0.00205 Which is the smallest value? (a) -3/14 (b) -304 (c) -4 (d) -2 (e) 2/9 b What is the third smallest value in 5, -0.05284, -3? 5 What is the second biggest value in 61, -0.32, 7? 7 Which is the second smallest value? (a) -5 (b) 181 (c) -0.042 c Which is the fourth smallest value? (a) 70 (b) -0.01 (c) 236 (d) -4 c Which is the fifth smallest value? (a) -5 (b) -0.508 (c) 2.8 (d) 3 (e) -1/3 (f) 0.2 c Which is the third biggest value? (a) -5 (b) -91 (c) 2.47 b What is the fifth biggest value in 0.06, -2054, 0.2, 4, 0.3? -2054 What is the biggest value in 0.01, 10/87, -0.3, 0.3? 0.3 What is the smallest value in -45, -118, -0.03, 3/8, -5? -118 What is the fourth smallest value in 300, -1, 5, -20? 300 What is the third smallest value in 7/5, -145, 4, -0.5? 7/5 Which is the second biggest value? (a) -0.3 (b) -0.5 (c) 23 (d) 7 (e) -46 d What is the biggest value in -4, -3, -0.1, -6384? -0.1 Which is the fourth biggest value? (a) 1/4 (b) 3353 (c) 5 (d) -1/4 (e) -5 d What is the second smallest value in -19, -3/4, 1/4, -3, -130? -19 What is the third biggest value in 46915/8, 0.1, 1/6, -5? 0.1 Which is the third smallest value? (a) 4 (b) 0.04 (c) -3/542 (d) -0.2 (e) 0 (f) -5 c What is the second smallest value in 0.9, -382, 5, 1? 0.9 Which is the biggest value? (a) 107.3 (b) 229 (c) -0.4 b What is the smallest value in -1, -35, 3/2, -5.7? -35 What is the second biggest value in -47, 2.7, 0.3? 0.3 Which is the second biggest value? (a) 8 (b) 2/87 (c) 239 a What is the second biggest value in 0.1, 1779, 3, 2/135? 3 What is the third biggest value in -5, 1/578, -1, -0.4, 1, 4? 1/578 Which is the fifth smallest value? (a) 0.2 (b) 2 (c) 613 (d) 0.4 (e) 9 (f) -0.4 e Which is the second smallest value? (a) -0.11 (b) -41 (c) -0.5 (d) 1 (e) 2 c What is the third biggest value in -4, 1, -24, -3, -0.5? -3 What is the fifth smallest value in 52, -2/15, 1, 0, 0.2? 52 Which is the fourth smallest value? (a) -95/2 (b) 1/4 (c) 6 (d) -3/5 (e) -2 (f) -1 d What is the fifth biggest value in -0.5, 3, 69126, -2/5, 4? -0.5 What is the fifth smallest value in -5, 5/2, 10/3, 4, -2, -96? 10/3 Which is the fourth biggest value? (a) -2/9 (b) 3 (c) 2 (d) 2/13 (e) 43 (f) 0.04 d Which is the second smallest value? (a) 260/27 (b) 5 (c) 0.05 b What is the smallest value in -2/11, 1, -3/5, 0.8, 26493? -3/5 What is the third smallest value in -27, -1, -2/169? -2/169 What is the fourth biggest value in 5, -11, -0.369, -4/107? -11 What is the second smallest value in 0.5, -434.7, -1.1, -3/7? -1.1 Which is the third smallest value? (a) -0.045 (b) 11 (c) -32 (d) 5 (e) -0.3 a What is the fourth smallest value in 23.2, -2/7, 3, -0.11, 4, -1? 3 What is the sixth biggest value in 1, -0.1, -0.073, -2, -3, -1/3? -3 Which is the third biggest value? (a) -1 (b) 223 (c) 1 a Which is the sixth biggest value? (a) -0.1 (b) 0 (c) 2/7 (d) -3.4 (e) 3 (f) -4/15 d What is the third smallest value in 0, -1/122, -1/9, 10/13? 0 Which is the smallest value? (a) -0.21 (b) 1.34 (c) 11 a Which is the smallest value? (a) 0.06071 (b) 0.2 (c) 1/285 c Which is the fifth biggest value? (a) 1/4 (b) 2/23 (c) -2/5 (d) -0.2 (e) 11 (f) 18 d Which is the third smallest value? (a) -5 (b) 0.11 (c) 3 (d) -4/9 (e) -0.18 (f) -42 d What is the biggest value in 1/6, -0.3, 11374, -5? 11374 What is the smallest value in 3, -198, -2, -69/5? -198 What is the fourth biggest value in -15, -1, 14162, -4, -2, 0.5? -2 Which is the sixth smallest value? (a) 0.4 (b) 23 (c) 0.3 (d) -0.3 (e) -4/5 (f) 27.55 f Which is the biggest value? (a) -1/1999 (b) 5 (c) 4 (d) 0.4 (e) 4/7 b What is the second biggest value in 17866, -2/7, -2/27, -1/6? -2/27 What is the second biggest value in -1405, 1/17, 6/13? 1/17 Which is the biggest value? (a) 0.25 (b) 97 (c) -4 (d) -1 b What is the third biggest value in 2/5, 0.2, 1, 0.73? 2/5 What is the third smallest value in -21/179, -0.1, -1/25, 1, 2/11? -1/25 Which is the third biggest value? (a) -0.1 (b) -2/21 (c) -5 (d) -11 (e) -3 (f) 2/61 a Which is the smallest value? (a) 21.7 (b) -2 (c) 1/2 b What is the smallest value in -6, 5/1186, -10? -10 What is the fourth smallest value in 0.3, -4/19, -13, 0.4? 0.4 Which is the sixth biggest value? (a) 2/67 (b) 0.5 (c) 0 (d) -5 (e) -0.3 (f) 90 d Which is the third smallest value? (a) 1.5 (b) 1 (c) -13 (d) 19 (e) 4 a What is the smallest value in -3/16, -2/7, -0.2, -0.5, -2.1, -3? -3 What is the second biggest value in 0.01, 110/13, -0.2? 0.01 Which is the smallest value? (a) 1/3 (b) -4 (c) 23 (d) 5/3 (e) 1 b What is the third biggest value in -1/2, -2/817, 498? -1/2 What is the smallest value in -1648, -8, -2/3, 2/7? -1648 What is the biggest value in -0.096, 0.184, -3? 0.184 Which is the third biggest value? (a) 0.3 (b) 12 (c) -1/4 (d) 4 (e) 1/530 (f) 3/7 f Which is the fifth biggest value? (a) 3/26 (b) 5 (c) -2/9 (d) -22 (e) 0.4 d What is the fourth biggest value in 1, 2/5, -1, -6, -1/3, -2? -1 Which is the fifth smallest value? (a) -4 (b) 2/9 (c) 4/5 (d) 3/2 (e) 0.07 d Which is the second smallest value? (a) 2/25 (b) 3/2 (c) 3/154 (d) -0.2 c Which is the second smallest value? (a) 2/15 (b) 10 (c) 1 (d) 22 (e) -5 a Which is the smallest value? (a) 182 (b) 2/9 (c) 4 (d) 65 b Which is the sixth smallest value? (a) 2/7 (b) -0.3 (c) 1/2 (d) -4 (e) 13 (f) 0.3 e Which is the biggest value? (a) 3/2 (b) -2/11 (c) -3 (d) -2/45 (e) -2/17 a Which is the sixth smallest value? (a) -3/8 (b) -1 (c) -0.4 (d) 4 (e) 5/4 (f) -149 d What is the second biggest value in -10/49, 2, 5, -17? 2 What is the second biggest value in 5, 54, 1/5, 9? 9 What is the third smallest value in -0.16, -2/13, -43? -2/13 Which is the third smallest value? (a) -2/5
{ "pile_set_name": "DM Mathematics" }
296)/(-27) + -204 + 92? -64 What is the value of (234/221)/(-6) - 22530/(-510)? 44 What is the value of 48/(-14)*(-33)/396? 2/7 What is 1/(-7)*-5*3609/6015*658/3? 94 Calculate ((-338)/24505)/(8/58). -1/10 Calculate 9/((120/(-3180))/((-8)/36)). 53 What is (-1)/(-16) - 293185/(-51952) - 24/(28/7)? -5/17 (31 + (-2142)/72)*(59/3 + (-2)/(-6)) 25 Evaluate 299/16 + 161/((-14168)/1672). -5/16 Evaluate (-85)/(-60)*240/(-95880)*47. -1/6 What is the value of ((-2052)/(-45) - (-14)/35)*-1? -46 What is (39/(-2) + 5226/402)/((-1)/6)? 39 What is the value of 133/(-42) + (-3751)/(-2046)? -4/3 What is the value of 1 - -4 - ((-4913)/1445 - (-3216)/390)? 2/13 (4 - -80)*7/(343/(-42)) -72 What is (26/(-18))/(4768/85824)? -26 Calculate (-2 - (-796)/468) + (-1684)/(-21892). -2/9 What is the value of 11 + -20 - -12 - 314/106 - 7952/(-25228)? 6/17 What is the value of 108225/(-780)*(-432)/(-810)? -74 What is the value of 35970/(-3270) + (-1*120/(-14) - 1)? -24/7 Evaluate (-900)/(-270)*780/(-500). -26/5 Evaluate (-90)/(-4) + (0 - -27)*22*(-9)/594. 27/2 Calculate 2*60/(15/3)*(-2070)/360. -138 Evaluate (9/(-6))/(262/21484). -123 (4/(-12) - 558/(-54))*2139/(-690) -31 Calculate -23*(-48)/(-22) + -33*104/(-18876). -50 Evaluate (-670)/134 - 240/(1 + 2). -85 (-284)/32 + 9 + ((-91375)/136)/(-25) 27 What is the value of 185/(-148)*80/(-75)*(-9)/426? -2/71 What is ((-424)/3392)/((-1)/3 - 0)? 3/8 (0 - -5) + (-15 - 1)/(-24 + -8 + 34) -3 What is 6840/(-150) - (2 - 16/10)? -46 Calculate (-5*42/(-175))/(-36*(-8)/(-26400)). -110 Calculate (816/(-102))/(48 + -18). -4/15 What is (-10)/(-6)*(-84 - 22008/(-280))? -9 What is the value of ((-100)/((-600)/(-117)))/(-15*(-6)/120)? -26 What is (-10425)/(-13200)*44 + -32 + -3? -1/4 What is the value of 36/(-414) - (39765/(-506) + (-10)/20)? 79 Calculate 74 - -1 - ((-88312)/(-8056) - (-2)/53). 64 Calculate (234/(-12))/(429/(-33) + 2 + -1). 13/8 What is the value of 363528/(-15708) + (-30)/35? -24 Evaluate ((-121)/((-35574)/1512))/(39/182). 24 What is the value of (4/(-6))/((-2598)/3031 + 1263/1449)? -46 (-16)/((1*20)/2 - 86*(-248)/(-2666)) -8 Calculate 304/2052*(-2304)/1280. -4/15 What is (-4 + 30)*((-1)/18)/((-216)/(-648))? -13/3 Evaluate 14709/660 - (-40)/(-32) - 324/8910. 21 Evaluate (417/(-834))/(3/(-66)). 11 Evaluate (-183 - 335736/(-1872)) + (-7)/(-2). -2/13 2*20*(-105)/120 -35 Evaluate ((-149)/3129)/((-2)/406) + (-5 - 2). 8/3 Calculate ((-45)/((-10890)/(-1364)))/((-8)/(-11)). -31/4 Calculate (-11)/56*7*24/(-924). 1/28 Evaluate 294/(-735) - 14/(4480/(-132)). 1/80 Evaluate (23012/(-660) + 33)*18/(-8) + 9/30. 9/2 What is the value of (2/1962)/(265*(-83)/(-131970))? 2/327 Calculate 21*(-551)/3819 + 154/49 + 2/(-14). -2/67 Evaluate -6 - -29 - (-310 - -320). 13 What is the value of (87 - (-483633)/(-7221)) + -5*4? 2/83 Calculate (0 + (-6)/16)/((-81)/(-54))*(-230 + 2). 57 What is 1023/32395 - (-21882)/1995? 11 What is the value of 0 + 2 - 2 - (-53040)/(-37128)? -10/7 -57 - (34 + -41) - 4 -54 Calculate (-8 - -184)/(-4) - (64 - 85). -23 (33*2/2)/((-296205)/28210) -22/7 Evaluate ((-12)/30)/(16/50) - (5451/(-92) + 17). 41 What is (83 - (-7824)/(-96))*22? 33 Calculate (2/(-2))/(94/(-2820)) - (46 + -58). 42 ((5 - 80) + (4 - 7))*900/(-1350) 52 What is (16 + -20 + 6)*(51/18 + -3)? -1/3 Calculate 880/7280*-247 - (0 - 30). 1/7 -3*5 - 212/(44 + 62) -17 ((-11)/3 - -1)/(2085016/15912 + -131) -78 What is (-275)/10*84/(-10920) - (-12)/(-26)? -1/4 Calculate ((-1)/(-3))/(-52 + 969864/18648). 37 Evaluate -1 - 439/(-8) - 83460/44512. 52 What is ((-19)/(-57))/((-22)/319 - (-715)/8265)? 19 What is (-1)/((-915)/(-1830)*68/(-6))? 3/17 Calculate 1 - (-24*(-21)/(-924) + (-405)/(-198)). -1/2 (3/2)/(11/(-4)) - 1705536/(-748440) 26/15 Calculate (-7)/(-35) - 4/(-30)*39330/(-95). -55 Evaluate (447 - 429) + (-5 - -17)*-5 - -7. -35 What is the value of ((-21905)/3370)/(7/(21/(-12)))? 13/8 Calculate (15/(-18) - (-7)/18)/(214/12519). -26 What is the value of (2 - 11) + 2211/2412*549/33? 25/4 What is (2/(-42))/(-34 - 34736/(-1092))? 1/46 (10/24)/(-8 - (-21 + (-1177)/(-99))) 3/8 Calculate (-2)/133 + -16 + 7973537/498883. -1/31 Calculate (-154)/(-390) + 1287/99 + 350/(-26). -1/15 Evaluate (-9)/(-6)*(-38*(-28)/(-12768) - (-1970)/24). 123 Evaluate -88 + -37*11236/(-3922). 18 What is ((-28)/252)/((-8)/6336*-8)? -11 Evaluate 0 - ((-4089)/564 + 6082/840). 1/105 What is (((-6735)/(-210) + -32)*-80)/((-4)/(-14))? -20 What is the value of (395/((-2765)/(-798)))/(4 - 2/2)? 38 Calculate 4/(-7) - (0/2 - (-190)/(-406)). -3/29 What is the value of (-45 + 49 + 10)/(4/12 + (-32)/(-3))? 14/11 (-3)/1*(552/(-18) - -43) -37 ((-1160)/348 + (-187)/(-66))*8/(-46) 2/23 What is the value of 124/(-30) - (25 - (-17342)/(-690))? -4 (-39)/135 - (918/(-243))/17 -1/15 What is the value of (-41932)/(-17154)*(-540)/(-22)? 60 What is -31 - 75125/(-2425) - (-40754)/679? 60 (-19205)/(-2737) + 0 + 2*(-8 + (-72)/(-16)) 2/119 Calculate ((-1615)/(-4522))/(2120/224). 2/53 Evaluate -1 + 54 + (882 - 945). -10 Evaluate 4/(-1) + (-1)/1 + (-1178)/(-342). -14/9 Calculate (-6834)/(-64923) - (-10)/(-1178). 3/31 Calculate -1 + ((-864)/(-1134))/(285/(-27) - -11). 5/7 (-13)/6 + (-9870)/(-13860) -16/11 What is the value of (((-6050)/88)/55*(-4)/30)/(3/(-10))? -5/9 What is ((-24708)/1136)/((-30)/(-150)*(-15)/2)? 29/2 Evaluate 458 - 418 - 192/3. -24 What is -11 + (0 - -22*((-2035)/(-4440))/(4/6))? 33/8 What is the value of (-14 + -20 + 19 - 8) + 75? 52 What is ((-44892)/(-290))/(-43)*-10? 36 Calculate (11529/18792 - (-40)/(-64))*2. -2/87 What is the value of (-3 - (-2 + -2))*(2/(-6))/((-223)/669)? 1 What is (8 - 6)/(1715/(-2450))? -20/7 What is the value of ((-4)/(-26) + (58 - (-117598)/(-2028)))*4/(-31)? -2/93 Calculate (12/7)/(4498/(-273) - -16). -18/5 Evaluate (-13 + (-1633)/(-138))*-6. 7 What is the value of (0 + 1)*-48*((-32)/(-6) - (74 - 68))? 32 What is the value of ((238/(-140))/17)/((-76)/(-1824))? -12/5 781/(-30) + (-1215)/(-36450) -26 Calculate (40/44)/(112347/6237 + (-18)/1). 70 What is the value of ((-21)/(-9))/((-102)/(-136) - 441/540)? -35 Calculate 13 + (-4830)/1288*(-10)/(-3). 1/2 ((-36)/54)/(46/207) - 158/(-54) -2/27 Evaluate ((-7084)/67620)/((-55)/30) - 99/1120. -1/32 What is ((-39)/((-100620)/(-120)) + 236/12470)/(4/10)? -2/29 What is ((10 - 15)*(-9)/18)/(2/(-16))? -20 Calculate (115 - -75)/(-19) + (-2)/(2/(-43)). 33 What is the value of (36 - 18)*(1341/(-81) - -20)? 62 What is (24 - 2821/124)/((-14)/(-840))? 75 (((-5)/(-2))/(7725/14420))/(3/72*-2) -56 Evaluate (11 - 1455/20) + (21 - 1377/68). -61 (-4)/26 - (3026/(-1768))/(13/(-52)) -7 (-65)/(-10) - (3 - 10/5) - 1/2 5 What is the value of (3432/(-7436))/(63/364)? -8/3 (9504/576 - 5/2)/259 2/37 Calculate 23*21/(-1932) + (8/(-6) - -2)/(-8). -1/3 Evaluate 102*((-18540)/(-612) - 31). -72 What is the value of ((-280)/(-140))/((4/(-50))/((-8)/10))? 20 (-109)/(-4) + (8853/(-884) + 11 - 4/17) 28 What is (-1366)/13 - ((-1320)/(-1056) + 68/(-208))? -106 What is -24 + -5 - (-27 + -38)? 36 Calculate 10/(-26)*(-9153)/(-15255). -3/13 Evaluate 324/(-36) - (-1512)/162. 1/3 Evaluate 2955/1379 - (-18798)/273. 71 What is 24 + (-31)/((-59675)/(-45892))? 4/25 What is (3 + -4 + (-171)/4)*(-1192)/2086? 25 Calculate (4 + 3195/(-880) - (-12)/(-66))/((-222)/(-3256)). 11/4 Calculate 10/279*2/(20/6). 2/93 What is ((-17395)/(-686) - 25)/(50/147)*15/(-9)? -7/4 Evaluate (3 + -1)*-7*(-130)/52. 35 164424/5328 - 30 - (-30)/(-36) 1/37 ((-12)/63*-9)/((-112102)/1610 - -70) 60/13 What is 12/51 + (-59736)/1292 + 52? 6 (30/315)/(3/(-18))*((15 - 32) + -67) 48 Evaluate ((-240)/56)/(((-32)/(-7))/16). -15 What is (-45)/(-2)*((-2)/88 - 77082/(-22968))? 75 Calculate 13 + ((-510)/125 - 0)/((-40)/(13200/(-99))). -3/5 Calculate (9 - -9 - ((-595)/(-34) - -2))*6. -9 Evaluate (-200)/1100 - (-6162)/53009. -4/61 2/187 + (-11548008)/140811 -82 What is ((-8)/(-208)*13)/((-390)/2028*(-2)/20)? 26 (6 - 8)/((-184)/(-414) + 4/(-10)) -45 What is 6/9*3*1272/9540? 4/15 (-6)/10*(45 + 4739/(-105)) 2/25 Evaluate ((-75)/9)/((-8786)/1035 + 9 + 4/(-10)). -75 What is ((-2020)/6464)/(3/(-48))? 5 Evaluate (918/45)/(22/((-22)/(-3)) + 432/(-160)). 68 Evaluate (((-240)/(-18))/(-10))/(322/(-4347)). 18 (-3788)/348496*(-16)/3 4/69 Evaluate 3 + -4 + 4*(-4)/8*(-84)/(-224). -7/4 What is the value of (616/60 - 4)*15*(9 + (-204)/24)? 47 Evalu
{ "pile_set_name": "DM Mathematics" }
Let p = -2.36 + 2.56. Let o = 3.2 - p. What is the closest to -0.13 in h, o, -2/3? h Let j = 12745/2 + -6371. Which is the closest to -1? (a) -1 (b) 4 (c) 3.5 (d) j a Let y be ((-20)/(-16))/(300*(-19)/(-2736)). Let h = -3.1 - -3. Which is the closest to h? (a) 4 (b) y (c) 18/11 b Let d = 7097 + -49676/7. What is the nearest to -781 in 1/7, d, 0, -0.1? -0.1 Let p = -0.151 - 115.849. Let l = 115.9 + p. Let y be 1 - 1 - 8*(-6)/(-168). What is the nearest to 4 in y, l, 0.4? 0.4 Let t(r) = -15*r - 43. Let i be t(-3). Let z = 0.8 - 0.6. What is the nearest to -2/7 in 3, z, i? z Let z(g) = g - 5. Let x be z(5). Let q = 146445.07 + -146445. Which is the closest to q? (a) 1/3 (b) -0.1 (c) -0.3 (d) x d Let p be (0 - 11) + 0 + (33 - 21). Which is the nearest to -2/7? (a) p (b) -6 (c) 49 a Let v = 9521 + -9518. Suppose -4*w = -4*o + 2*o - 4, -3 = -w + o. Which is the nearest to w? (a) v (b) -9 (c) 3/4 c Let g be (24/(-18) + 2)/(-2). Let f = -105 + 109. What is the closest to -0.1 in g, -37, f? g Let h = -2379.655 + 2380. Which is the closest to h? (a) -5 (b) 1 (c) 0.2 c Let j = -0.8 + 0.3. Let l be ((-3)/(-4))/1 + 106974/(-168). Let w = l + 634. What is the nearest to w in -2/5, -2, j? -2 Let o(y) = -3*y - 79. Suppose 4*z = -169 + 65. Let s be o(z). Which is the nearest to 4/7? (a) -0.3 (b) 3/5 (c) s b Suppose -10 = 3*k - 16. Let z = -512 - -519.8. Which is the closest to z? (a) -5 (b) k (c) 1 (d) 3 d Let t = -1.92 + 2.27. Let n = 5.35 - t. Let r = -0.1 - -0.2. What is the nearest to 0 in 4, n, r? r Let m = 379.9636 + 0.0364. Let r = m + -377. Let v be (1 - 1) + 3/5. Which is the closest to r? (a) 0.4 (b) 0 (c) v c Let f = -4857/136 - -639/17. Let q be (4/(-50))/((-9)/45). Which is the nearest to q? (a) 5/2 (b) f (c) -2/9 c Let x = -17507.59 - -17505. What is the closest to x in -5, 0.14, 4? -5 Let y be ((-37)/333)/(12/27). What is the nearest to 3/10 in -2/13, 5, y? -2/13 Let i = 7 + 4. Let w = -2877.7 + 2878. What is the nearest to 1 in i, w, -5? w Let g = -197.926 - 0.074. Let b = -198.3 - g. What is the closest to -33 in 5/4, b, 1/10? b Let s = -43.5 + 87.5. What is the closest to -0.4 in s, 3/4, -0.14? -0.14 Let c be -4*((-1218)/(-56) - 21). What is the closest to 0.87 in -2/15, 3, c? -2/15 Let k = 0.03577 + 2.96423. What is the closest to -0.1 in k, 0, 3/28? 0 Let u = 0.554 + -353.554. Let x = u - -353.1. Which is the nearest to x? (a) 1/4 (b) 0.5 (c) -13 a Suppose 5 = -3*o - 9 + 8. Let i = 0.12 - 0.42. What is the closest to -4 in 0.5, 0, o, i? o Let j = 2018 - 2017.974. Which is the closest to 3? (a) j (b) -1 (c) 0 a Let n be (-21)/7 - (-34)/18. Let o = 562/385 - 96/55. What is the closest to 2/5 in n, o, 1? 1 Let h = 323/5 - 2241/35. Let s = 0.9 + -1. Let g = 0.1 + s. Which is the nearest to g? (a) h (b) -2/11 (c) -3/8 b Let n = -27 - -30. Let m = 4 - n. Let f be (m + (-21)/18)*(-5 - -1). What is the closest to f in -2/9, -4, -2/5? -2/9 Let t = -1763.9 + 1764. What is the nearest to t in 21, -1/5, -3, -4? -1/5 Let j = 32.7 + 231. Let p = 278 - j. Let y = -14 + p. What is the closest to -0.1 in 3, 0.1, y? 0.1 Let t(n) = -n**2 + 6*n + 6. Let j be t(7). Let s(w) = 3*w**2 - 21*w + 81. Let i be s(10). Let d be (-82)/(-126) - 38/i. What is the closest to 0 in j, 0.4, d? 0.4 Let f = 0.221 + 115.779. Let c = -115.96 + f. What is the closest to -1/3 in 0.4, c, -2? c Let m = -19.144 + 19. Let l = -85.856 + m. Let v = l - -81. What is the closest to -2/7 in -3, -9, v? -3 Let g = -11 + 11. Let c be 4/((-16)/(-6)) - 1. Let p = -1030.7 - -1030.4. What is the closest to p in g, 0.4, c? g Suppose 0 = -58*l + 31101 - 30811. Let j be (2 - 3) + 3*1. What is the nearest to 1/2 in l, -0.1, j? -0.1 Let s = 69241 - 69244. Let y = -2 - -2.1. Which is the closest to y? (a) 1 (b) s (c) 14 a Let r(j) = -j**2 + 11*j - 26. Let p be r(3). Let f be 6*(-6)/12*1/p. Let y be 14 - 15 - (-3)/5. Which is the nearest to y? (a) 4 (b) f (c) -9 b Let n = -28.9 - -33. Let g = -4 + n. Let h(d) = -d**3 + 10*d**2 - 35*d + 99. Let f be h(7). Which is the closest to f? (a) -0.1 (b) g (c) -7 b Let y = 358.313 + -358. Let o = y + -0.713. What is the nearest to 0.1 in o, -15/4, 1/2? 1/2 Let y = -6559 - -6562.511. Let o = 0.511 - y. Let v be (-1)/12 + 4/16. What is the nearest to 0.05 in v, o, -0.4? v Let o = -476960.32 - -476960. Let r = 3.1 - 0.1. What is the nearest to o in 0, r, -0.1? -0.1 Let k = -0.4 - -0.7. Let y = 0.774 + -1.674. Let o = k + y. Which is the closest to 1? (a) -1/4 (b) o (c) 3 a Let p = -6 - -7. Let q(m) = m**2 - 13*m - 52. Let s be q(10). Let u = s + 84. Which is the closest to 0.1? (a) -4 (b) p (c) u b Let z = 0.0899 + -765.0899. Let r = 768 + z. Which is the nearest to -0.2? (a) r (b) -3 (c) -4 (d) -5 b Let t be 4/(-30) - (-4 + (-664)/30). Suppose 15*h - t + 86 = 0. Which is the closest to 0? (a) h (b) 1 (c) 21 b Let n = 2971/11892 + 1/5946. Which is the nearest to -1? (a) -15/4 (b) n (c) 0.9 (d) 0 d Let o = -41 - -40.5. Let y be 6/(-21) + (-15)/(-126). Let l be -4*2/(-20) - 5/(-50). Which is the closest to o? (a) y (b) -2 (c) l a Let l = -2792 + 2787. What is the closest to l in 24, 2, 0.1? 0.1 Let m = 1422/8063 + 4/733. Which is the closest to m? (a) 0.05 (b) -2/5 (c) 0 a Let d be ((-372)/64)/((-6)/4). Let t = -29/8 + d. Which is the nearest to t? (a) 1 (b) 0.8 (c) -1/4 c Let t be 1/((4 - 9)/5) - 4. Let j = -464/749 - 5/214. Let r = -3/70 - j. Which is the nearest to -1/2? (a) t (b) 1/5 (c) r b Let c = 77 - 160. Let t = -2451 - -2367.9. Let b = t - c. What is the nearest to 1/4 in -2/9, 2/5, b? 2/5 Let n be (54 - 55) + -3 + (28/6 - 0). Which is the nearest to -1? (a) -1/2 (b) -31/3 (c) 0.05 (d) n a Let t = -588.4 + 588. What is the closest to 0 in 8, 1, t, 16? t Let h = 2 + -2.2. Let l = -131.42 + 132.42. Let a = 0.44 - 0.04. What is the closest to h in a, l, 2/11? 2/11 Let f = -1.8 - -1.3. Let u(d) = 4*d. Let r(g) = 1. Let c(k) = 5*r(k) + u(k). Let b be c(-2). What is the closest to -0.2 in -2, b, f? f Suppose 5*r - 94*z - 26 = -91*z, 3*r = z + 10. Let m be (-1)/1 - 9/(-4). What is the nearest to r in m, 0.079, -0.3? m Let p = 572 - 355. Let y = p - 216.7. What is the nearest to 2/29 in y, -1/2, -3? y Let f be (-8)/(7 + -11) - (1 + -1). Let b be (-1)/f - (8/(-16) + 1). Let g = 5.7 - 6. What is the nearest to 7 in g, 4, b? 4 Let u be 41/11 - 28/(-23 + -5). Which is the closest to 0? (a) -4/5 (b) u (c) -1/5 (d) 0.01 d Let b = 24760 + -24757. What is the nearest to b in -2, 2/9, -2.7, 5? 5 Let x be (22 + -13)*20/(-6). Let s(q) = -q**2 - 28*q + 58. Let l be s(x). Which is the nearest to -1? (a) -1.26 (b) l (c) -5 a Let i be (130/(-14))/((-3)/3). Let u = i + -9. Let p be -6*(-1)/(-17)*(-26)/78. Which is the nearest to u? (a) p (b) 0.4 (c) -2 b Let b = -498/1295 + -4/259. What is the closest to b in -0.3, 0.13, -2, 5? -0.3 Let a be (-122)/1708 + 73/(-14) + 5. What is the nearest to 2/7 in -2/15, a, 3.903? -2/15 Let g = 0.199 + -128.199. Let q = 125 + g. What is the nearest to -1 in 0.3, 4, q? 0.3 Let w be 106 + 52 + 1/((-2)/(-4)). Suppose 163*f + 6 = w*f. Let a be ((-30)/105 + f/42)*-3. What is the nearest to a in -0.4, 0, -3/2? 0 Let z be 1/27*17*(-519 - 0). Let x = z - -327. Which is the closest to x? (a) -3 (b) -5 (c) 2 c Suppose 0 = -90*o + 21*o + 207. Which is the closest to -8? (a) o (b) 8 (c) 4 a Let m = -84.38 - -89.38. Which is the nearest to -1.1? (a) -1/3 (b) 0.2 (c) m (d) -0.2 a Let h = 88.99 + -89. Suppose 21*m - 2 = 20*m. What is the closest to h in 4, m, -4? m Let c = 0.5 - 0.3. Let x = 7298/23 - 29169/92. What is the closest to 1/3 in c, -4, x, -3? x Suppose 2*r = 5*i + 39 - 51, 5*r = 9*i - 23. Let p = 1.935 - 0.065. Let s = p - 0.17. What is the closest to s in r, 3/7, 0.2? 3/7 Let u be 8*24/512 - (-10)/(-112). Let w = -36.2 + 36. What is the closest to u in -0.3, w, -44? w Let u = -26 + 25.8. Suppose 0 = 5*j - 0*j + 15. Let q = 2/15 + -4/5. What is the nearest to -2/19 in u, q, j? u Let j = 1608.8 - 1610. Which is the closest to 0? (a) -2/7 (b) j (c) 0.4 (d) -4 a Let q = -4.02541 - -0.02541. Which is the closest to q? (a) -127 (b) -1 (c) -2 c Let k = -52 - -38.7. Let f = k + 11. Let u = f + 0.3. Which is the closest to u? (a) -1 (b) -2/11
{ "pile_set_name": "DM Mathematics" }
= -k. What is the smallest common multiple of 44 and g? 44 Let y(m) = 446*m + 1820. Let o(a) = a**3 - a**2 + 16. Calculate the smallest common multiple of o(0) and y(-4). 144 Let n(b) = b**3 - 10*b**2 + 5. Suppose v - 2*h = 13 + 7, 0 = -3*v + h + 35. Let f be n(v). What is the smallest common multiple of 2 and ((-8)/f)/(2/(-10))? 8 Let r(i) = -2*i**3 - 35*i**2 - 16*i + 19. Calculate the least common multiple of r(-17) and 80. 80 What is the common denominator of 431319/52875 + -1*8 and 58/15? 375 Let z(m) = 7*m - 4. Let h = 67 - 66. Suppose 4*t - 8 = -0*t. Calculate the smallest common multiple of t and z(h). 6 Let t be 6/3*(1 - 0). What is the common denominator of -13/4 and (t/(-42))/((-16)/1608)? 28 Let a = -65577/10 - -6563. Calculate the common denominator of a and -115/84. 420 Calculate the smallest common multiple of 470 and -121 + 119 - 662/(-2). 3290 Let w = -253 + 11356/45. Find the common denominator of w and 34/99. 495 What is the smallest common multiple of 38 and (55/33)/(5/264)? 1672 Let z = 270 + -116. Calculate the lowest common multiple of z and 20. 1540 Suppose 4*u + 0*u = 16, t + 4*u - 36 = 0. Suppose -t = 2*w + 3*w. Find the common denominator of -4 + (w - (-184)/36) and 29/5. 45 Calculate the common denominator of 61/6 and (-6)/12 + 37/(-168). 168 Let u = -38515/275273 + -9/3646. Find the common denominator of -91/22 and u. 3322 Let f be (-6022)/(-20)*(-3)/(-18). Let i = -238/5 + f. Find the common denominator of ((-124)/(-32) - (8 - 4))*-86 and i. 12 Suppose 5*g - 70 = 10*g. Let n = -5 - g. What is the least common multiple of n and 28? 252 Suppose 5*u = 25, u + 280 = 5*l + 3*u. Let r = l - 43. What is the smallest common multiple of r and 6? 66 Let c = 8 + -5. Suppose 0 = 4*m - 3*q + 135, -c*m - 14 = 4*q + 106. Calculate the lowest common multiple of 17 and m/(-5) + (-1)/5. 119 Let z(q) = 0*q**2 + 2*q**2 - 1 - 3*q**2 + 6*q - 1. Calculate the least common multiple of 19 and z(5). 57 Let d be 7673679/27 - (-2)/3. Let m = -3130463/11 + d. Let h = m - -376. Calculate the common denominator of 65/3 and h. 33 Suppose 13*k = 10*k + 108. Suppose 0*t + k = 2*t. What is the smallest common multiple of 16 and t? 144 Let j = 29 - 16. Suppose p + j = 31. Calculate the lowest common multiple of p and 6. 18 Let g = 23357/60 + -6478/15. Let n = g + 317/12. Find the common denominator of n and 32/7. 42 Let i(k) = -k**2 + 3*k + 1. Let h be i(4). What is the common denominator of (-7 - h) + (-266)/(-20) and -5/2? 10 Suppose 40 - 2 = 5*n + 2*m, -4*n = 3*m - 36. Suppose -4*y = -30 + n. Suppose -y*s = -2*s - 48. Calculate the smallest common multiple of 4 and s. 12 Suppose 5*q = 2*t + 19, 4*t + 8 = -0*t. Suppose q*u + 25 = 8*u. What is the smallest common multiple of 9 and u? 45 Let u = -13882 + 388617/28. What is the common denominator of -79/276 and u? 1932 Suppose u - 41650 = -4*u - 4*w, -3*w = 0. Let c = -149887/18 + u. Calculate the common denominator of c and -113/20. 180 Let f = -13 - 5. Let n = 163/1015 - -8/203. Find the common denominator of f and n. 5 Let q = 65963/132 - 5606/11. What is the common denominator of q and -33/16? 48 Let d(f) = f**3 + 25*f**2 + 36. Calculate the smallest common multiple of 18 and d(-25). 36 Let d = 3/2495 - -12193/234530. Let v = d + -3535/188. Let r = -63995/13128 + -1/3282. Find the common denominator of v and r. 8 Suppose -4 = -k + 3*l, 3*k + 4 = 5*l - 4*l. Calculate the smallest common multiple of k + -87*(-3)/9 and 51. 459 Let l(x) = -2*x**3 - 2*x**2 - 3*x - 11. Let y be l(-8). Let u = -6375/7 + y. Find the common denominator of u and 29. 7 Find the common denominator of ((-29)/(-4))/(45/120) and 228/(-27) - -4 - (3 + -4). 9 Calculate the lowest common multiple of 8 and (1946/(-1251))/(2/(-18)). 56 Suppose -25*k = -13*k - 84. What is the lowest common multiple of 31 and k? 217 What is the common denominator of -28*5/(-100) + 6 and -73/10? 10 Let p(u) = -2*u**2 + 2*u + 1. Let l be p(-2). Let r = -9 - l. Suppose -4*b + r = -14. What is the lowest common multiple of b and 1? 4 Suppose -3*w = -4*w + 4. Let r(u) = 32*u**2 + 92*u - 6. Calculate the smallest common multiple of w and r(-3). 12 Let o(v) be the second derivative of -4*v**3/3 - v**2 - 32*v. Suppose 4*k = -h - 4, -2*h + 0*h + 19 = -k. Calculate the lowest common multiple of h and o(-2). 56 Suppose 0 = 4*f + 5*a - 177, 2*a - 10 = f - 51. Let c = -69 + f. Find the common denominator of c and -19/5. 5 Let r = -21433 + 514297/24. Calculate the common denominator of r and 4/18 - 479/144. 48 Let k = -587 - -608. What is the least common multiple of k and 105? 105 Suppose 2*y = -3*i - 2, 4*y + 2*i - 6 = -2. What is the least common multiple of (1 - 1) + 1 + 4 and -3 - 1/(y/(-16))? 5 Suppose 2*v - 5*h - 152 = 0, -v - 3*h + 21 = -33. What is the lowest common multiple of 1 and v? 66 Let h = -14/53293 + -6974915/24621366. Find the common denominator of h and -5/294. 3234 Let w = -659/15 - -127/3. Calculate the common denominator of w and (116/(-10))/(-2*96/60). 40 Suppose 9*a = 2*a + 714. Let c = a - 198. Calculate the common denominator of -43/10 and (166/c)/(3/(-9)). 80 Let o = 65691/22 + -2982. Suppose 4*f - 211 = 73. Find the common denominator of 6/32*f/(-3) and o. 176 Let b(u) = -3*u + 1. Let n be b(-1). Let i be (-12)/((1/(-3))/((-4)/12)). Find the common denominator of 29/8 and (77/n)/(i/(-12)). 8 Let k be (786/88)/(-1) - -2. Let z = k - -87/55. Find the common denominator of z and -25/66. 660 Let o be (-3)/(-33)*(-24237)/50. Let l = -487672/175 - -19165/7. Let t = o - l. Calculate the common denominator of t and 17/22. 22 Let s(p) = 49*p**2 + 12*p + 17. Let f be s(10). Let z = f + -50469/10. Find the common denominator of z and 29/22. 110 Let b = -5263/916 - 1/229. Find the common denominator of (-20)/70 - 1019/84 and b. 12 Let r = -1/170 + 9013/510. What is the common denominator of 3/(-18)*14*7/14 and r? 6 Suppose -3*u + 1 = -5. What is the common denominator of -9*(-6)/18 + (-495)/80 and (u*5)/((-36)/17)? 144 Let s = 3811663/8 + -470552. Let q = 5897 - s. Calculate the common denominator of 113/18 and q. 72 Calculate the lowest common multiple of 56 and (-3 - (-14 - -3))/((-56)/(-196)). 56 Let n(o) = 108*o**2 + 9*o. What is the smallest common multiple of n(-1) and 36? 396 Let j(p) = -p**2 - 27*p + 39. Calculate the least common multiple of j(-28) and 22. 22 Let g = 325755/58 - 5616. Let z = 1/15833 + 1567463/63332. Find the common denominator of g and z. 116 Suppose 40 = -3*j + 88. What is the lowest common multiple of -1*12/j - (-30)/8 and 27? 27 What is the least common multiple of 48 and 12*((-10)/(-4) - -4)? 624 Let w(f) = -f**3 + 11*f**2 - 1. Let q be w(11). Calculate the common denominator of 8/11 and ((-550)/(-100))/((-2)/(-3)*q). 44 Let l(v) = 71*v**2 - 4*v - 3. What is the smallest common multiple of 33 and l(-1)? 792 Let t = 1244 + -1119. Calculate the least common multiple of t and 175. 875 Let q be (6/8)/(6/12212). Suppose 0*h - 2994 = -2*h. Let m = h - q. What is the common denominator of 53/8 and m? 8 Suppose -3*d + 990 = 3*s, -d - d = -4*s - 636. Suppose -d = -2*g + 40. What is the common denominator of -3 - g/(-24) - -1 and -93/8? 8 Suppose 6*n - 4*n - 24 = 0. Find the common denominator of 237/n*(-2 + 0/(-2)) and 65/16. 16 Let g be (2822/(-24))/(2/(-4)). Suppose -2684 = 16*f - 5*f. Let b = g + f. Calculate the common denominator of -48/5 and b. 30 Let z = 1001147 + -9022663/9. Suppose 2561 + 4309 = -5*w. Let r = z - w. What is the common denominator of -25/8 and r? 72 Let q(r) = r**2 + 5*r - 12. Let p = -61038/1489 - -92744995/2465784. Let i = 1/207 + p. What is the common denominator of i and q(-10)? 8 Let s = 10265/594 - 359/22. What is the common denominator of s and 20/9? 27 Let c = 6093/4 - 17977/12. Suppose -y - 2*k = 2*k + 8, -2*y = 5*k + 4. Calculate the common denominator of (0 + (-53)/y)/1 and c. 24 Let y(q) = 163 - 164 + q**2 + 2*q**2. Suppose -3*r + 7 = -r + 3*l, 12 = 4*r + 4*l. What is the lowest common multiple of 11 and y(r)? 11 Let s be (-4)/16 + (-15)/20. Calculate the least common multiple of 20 and 2/(-6)*(5 - s)/(-1). 20 Let q = 16 + -9. Let n(l) = q + 2*l - 1 - 4 + l. Calculate the lowest common multiple of n(4) and 16. 112 Let v(x) = -x**3 - 10*x**2 - 10*x - 10. What is the least common multipl
{ "pile_set_name": "DM Mathematics" }
-48, -151, -310? -2*y**3 + 2*y**2 + y + 44 What is the w'th term of 2895, 5789, 8683, 11577, 14471, 17365? 2894*w + 1 What is the i'th term of -32206, -32207, -32208, -32209, -32210? -i - 32205 What is the w'th term of 191, 175, 133, 53, -77? -2*w**3 - w**2 + w + 193 What is the p'th term of -41, -77, -111, -143, -173, -201, -227? p**2 - 39*p - 3 What is the r'th term of 17, 10, 1, -10, -23, -38? -r**2 - 4*r + 22 What is the k'th term of -90, -363, -826, -1485, -2346, -3415, -4698? -k**3 - 89*k**2 + k - 1 What is the b'th term of -6, -8, 2, 30, 82? b**3 - 9*b + 2 What is the b'th term of -57, -53, -41, -15, 31, 103, 207, 349? b**3 - 2*b**2 + 3*b - 59 What is the p'th term of -20, -65, -116, -167, -212, -245, -260, -251? p**3 - 9*p**2 - 25*p + 13 What is the z'th term of 37, 79, 119, 157, 193? -z**2 + 45*z - 7 What is the d'th term of -171, -148, -113, -60, 17, 124, 267, 452? d**3 + 16*d - 188 What is the h'th term of -112, -121, -144, -187, -256, -357? -h**3 - h**2 + h - 111 What is the o'th term of 426, 414, 398, 378, 354? -2*o**2 - 6*o + 434 What is the w'th term of -41, -55, -75, -101? -3*w**2 - 5*w - 33 What is the b'th term of -68, -129, -194, -263, -336, -413? -2*b**2 - 55*b - 11 What is the g'th term of 366, 358, 338, 300, 238? -g**3 - g + 368 What is the i'th term of -13341, -13343, -13345, -13347? -2*i - 13339 What is the q'th term of -1579, -3153, -4729, -6307, -7887, -9469, -11053? -q**2 - 1571*q - 7 What is the s'th term of 313, 626, 939, 1252, 1565? 313*s What is the a'th term of -689, -707, -747, -821, -941, -1119, -1367? -2*a**3 + a**2 - 7*a - 681 What is the y'th term of 138, 512, 1136, 2010, 3134, 4508, 6132? 125*y**2 - y + 14 What is the p'th term of 43, 71, 93, 109, 119, 123, 121? -3*p**2 + 37*p + 9 What is the s'th term of 16, 23, 30, 37, 44? 7*s + 9 What is the p'th term of -53, -79, -103, -125, -145, -163, -179? p**2 - 29*p - 25 What is the r'th term of -78, -179, -294, -423? -7*r**2 - 80*r + 9 What is the o'th term of -3, 25, 85, 189, 349, 577? 2*o**3 + 4*o**2 + 2*o - 11 What is the h'th term of 506, 510, 514, 518, 522, 526? 4*h + 502 What is the r'th term of -164, -125, -86, -47, -8, 31? 39*r - 203 What is the u'th term of 203, 207, 211, 215? 4*u + 199 What is the i'th term of 34, 47, 74, 121, 194? i**3 + i**2 + 3*i + 29 What is the d'th term of -36, -33, -30? 3*d - 39 What is the v'th term of 61, 115, 167, 217? -v**2 + 57*v + 5 What is the r'th term of 400, 411, 434, 475, 540, 635, 766? r**3 + 4*r + 395 What is the x'th term of -1414, -1412, -1410, -1408? 2*x - 1416 What is the h'th term of -2076, -2071, -2056, -2025, -1972, -1891? h**3 - h**2 + h - 2077 What is the n'th term of -14, -18, -36, -74, -138, -234, -368, -546? -n**3 - n**2 + 6*n - 18 What is the m'th term of -69, -109, -149? -40*m - 29 What is the d'th term of 53, 104, 155, 206? 51*d + 2 What is the m'th term of -114, -177, -228, -261, -270? m**3 - 70*m - 45 What is the w'th term of -4376, -8752, -13128, -17504? -4376*w What is the x'th term of 2, 6, 10, 14, 18? 4*x - 2 What is the w'th term of 13, 43, 81, 127, 181, 243, 313? 4*w**2 + 18*w - 9 What is the y'th term of -6, -11, -24, -51, -98, -171, -276? -y**3 + 2*y**2 - 4*y - 3 What is the l'th term of 421, 835, 1247, 1657, 2065? -l**2 + 417*l + 5 What is the j'th term of -10367, -10365, -10363, -10361, -10359? 2*j - 10369 What is the c'th term of 4, -11, -64, -161, -308, -511, -776? -c**3 - 13*c**2 + 31*c - 13 What is the h'th term of 19, 36, 53, 70? 17*h + 2 What is the k'th term of -1266, -2533, -3800, -5067, -6334? -1267*k + 1 What is the l'th term of 2, 48, 132, 260, 438, 672, 968, 1332? l**3 + 13*l**2 - 12 What is the z'th term of 82513, 165037, 247573, 330127, 412705, 495313, 577957, 660643? z**3 + 82517*z - 5 What is the g'th term of -3, -5, -7, -9, -11? -2*g - 1 What is the p'th term of 603, 610, 615, 618, 619, 618, 615? -p**2 + 10*p + 594 What is the z'th term of 55, 107, 159, 211? 52*z + 3 What is the w'th term of 68, 69, 70, 71? w + 67 What is the m'th term of -113, -287, -571, -959, -1445, -2023, -2687? m**3 - 61*m**2 + 2*m - 55 What is the c'th term of -4, -11, -24, -43, -68, -99, -136? -3*c**2 + 2*c - 3 What is the g'th term of -13, -190, -669, -1600, -3133, -5418, -8605? -25*g**3 - g**2 + g + 12 What is the d'th term of 63, 125, 185, 243? -d**2 + 65*d - 1 What is the f'th term of 26, 20, 2, -34, -94, -184, -310, -478? -f**3 + f + 26 What is the f'th term of -5, -35, -85, -155, -245, -355? -10*f**2 + 5 What is the k'th term of 817, 3278, 7379, 13120? 820*k**2 + k - 4 What is the a'th term of 14, 43, 72, 101, 130, 159? 29*a - 15 What is the l'th term of -40, -32, -12, 26, 88, 180? l**3 + l - 42 What is the z'th term of -202, -154, -118, -100, -106, -142? -z**3 + 55*z - 256 What is the r'th term of 87, 357, 807, 1437, 2247, 3237, 4407? 90*r**2 - 3 What is the x'th term of 5, 10, 15, 20? 5*x What is the b'th term of 166, 333, 500, 667, 834, 1001? 167*b - 1 What is the s'th term of -91, -193, -295, -397, -499? -102*s + 11 What is the i'th term of -311, -313, -315, -317, -319? -2*i - 309 What is the s'th term of 13, 16, 27, 52, 97? s**3 - 2*s**2 + 2*s + 12 What is the k'th term of 288, 2360, 7984, 18936, 36992, 63928? 296*k**3 - 8 What is the y'th term of -394, -793, -1194, -1597, -2002? -y**2 - 396*y + 3 What is the k'th term of 152, 306, 460, 614? 154*k - 2 What is the r'th term of 110, 124, 138, 152, 166? 14*r + 96 What is the a'th term of -52, -111, -172, -235, -300, -367? -a**2 - 56*a + 5 What is the q'th term of 15, 28, 41, 54, 67? 13*q + 2 What is the i'th term of 103, 367, 801, 1399, 2155, 3063? -i**3 + 91*i**2 - 2*i + 15 What is the j'th term of -2161, -8657, -19485, -34645, -54137? -2166*j**2 + 2*j + 3 What is the w'th term of 11, 41, 69, 95, 119, 141? -w**2 + 33*w - 21 What is the x'th term of 13, 82, 267, 628, 1225, 2118, 3367? 10*x**3 - 2*x**2 + 5*x What is the v'th term of -91, -93, -95, -97, -99, -101? -2*v - 89 What is the z'th term of 532, 544, 556, 562, 556, 532, 484? -z**3 + 6*z**2 + z + 526 What is the b'th term of -331, -327, -313, -283, -231, -151, -37, 117? b**3 - b**2 - 331 What is the i'th term of 237, 455, 675, 897, 1121, 1347, 1575? i**2 + 215*i + 21 What is the g'th term of -44, -92, -142, -194? -g**2 - 45*g + 2 What is the o'th term of 44, 65, 88, 113, 140, 169, 200? o**2 + 18*o + 25 What is the o'th term of -377, -363, -363, -383, -429, -507, -623, -783? -o**3 - o**2 + 24*o - 399 What is the v'th term of 66, 129, 194, 261? v**2 + 60*v + 5 What is the v'th term of -22, -40, -70, -112, -166, -232? -6*v**2 - 16 What is the r'th term of -54, -43, -20, 21, 86, 181, 312, 485? r**3 + 4*r - 59 What is the q'th term of 22, 26, 26, 22? -2*q**2 + 10*q + 14 What is the p'th term of 4277, 4281, 4285, 4289, 4293? 4*p + 4273 What is the u'th term of -16, 3, 20, 35, 48, 59? -u**2 + 22*u - 37 What is the y'th term of -5157, -5153, -5139, -5109, -5057, -4977? y**3 - y**2 - 5157 What is the f'th term of 342, 603, 1030, 1617, 2358? -f**3 + 89*f**2 + f + 253 What is the k'th term of 3, 24, 65, 132, 231, 368? k**3 + 4*k**2 + 2*k - 4 What is the j'th term of 186, 176, 158, 132, 98, 56? -4*j**2 + 2*j + 188 What is the u'th term of 3656, 3657, 3658, 3659? u + 3655 What is the r'th term of 6, 22, 52, 102, 178? r**3 + r**2 + 6*r - 2 What is the d'th term of -24, -36, -50, -60, -60, -44? d**3 - 7*d**2 + 2*d - 20 What is the q'th term of -5380, -5381, -5382? -q - 5379 What is the v'th term of 190, 391, 594, 799, 1006, 1215, 1426? v**2 + 198*v - 9 What is the b'th term of -24, -215, -532, -975? -63*b**2 - 2*b + 41 What is the a'th term of 66, 119, 164, 195, 206, 191? -a**3 + 2*a**2 + 54*a + 11 What is the s'th term of -81, -18, 57, 150, 267, 414? s**3 + 56*s - 138 What is the y'th term of -6, 2, 22, 54? 6*y**2 - 10*y - 2 What is the d'th term of -26, -54, -82? -28*d + 2 What is the k'th term of -1, 9, 19, 29, 39, 49? 10*k - 11 What is the t'th term of -4, 9, 32, 65, 108, 161, 224? 5*t**2 - 2*t - 7 What is the z'th term of 11, 9, -9, -49, -117, -219, -361, -549? -z**3 - 2*z**2 + 11*z + 3 What is the q'th term of -8, -6, -2, 4, 12, 22? q**2 - q - 8 What is the t'th term of 12158, 12160, 12162? 2*t + 12156 What is the w'th term of -791, -790, -789? w - 792 What is the w'th term of -175, -349, -5
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 m when two letters picked without replacement from {z: 7, o: 3, k: 1, m: 4, n: 4, e: 1}? 3/95 What is prob of picking 4 u when four letters picked without replacement from {u: 6}? 1 Calculate prob of picking 1 q and 3 e when four letters picked without replacement from qeehseeeeeseee. 120/1001 Two letters picked without replacement from {n: 1, l: 6, b: 1, r: 1}. Give prob of picking 1 l and 1 r. 1/6 Four letters picked without replacement from {x: 1, g: 2, h: 1, p: 4, a: 2}. What is prob of picking 2 x and 2 g? 0 Two letters picked without replacement from iiffnifinninii. What is prob of picking 1 n and 1 f? 12/91 What is prob of picking 3 x when three letters picked without replacement from uuuuxuxxxuxuxuuuuu? 5/204 What is prob of picking 1 c and 1 e when two letters picked without replacement from {e: 2, c: 1, h: 4, y: 3}? 2/45 What is prob of picking 1 i and 2 e when three letters picked without replacement from {t: 5, k: 1, p: 1, e: 3, a: 3, i: 2}? 6/455 Calculate prob of picking 1 l, 1 o, and 1 v when three letters picked without replacement from {o: 1, v: 3, l: 4, x: 5}. 6/143 Four letters picked without replacement from yjyljsppjyq. What is prob of picking 1 j, 1 l, 1 s, and 1 q? 1/110 What is prob of picking 2 d and 1 n when three letters picked without replacement from {y: 5, n: 1, d: 5}? 2/33 What is prob of picking 1 d and 3 r when four letters picked without replacement from rrlrhdhrrddrxrihx? 3/68 Four letters picked without replacement from {i: 5, y: 1, d: 6, m: 1, x: 1}. What is prob of picking 3 d and 1 i? 100/1001 Four letters picked without replacement from yyyyyy. Give prob of picking 4 y. 1 Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, m: 1}. 1/4 Four letters picked without replacement from isgsiiaisksssssis. Give prob of picking 1 i, 1 s, 1 g, and 1 k. 9/476 Two letters picked without replacement from hdxlxdddhdddlxxd. Give prob of picking 1 d and 1 x. 4/15 Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {a: 2, p: 6, r: 3, c: 4}. 6/91 Two letters picked without replacement from {q: 4, w: 4, m: 2, f: 9}. What is prob of picking 1 q and 1 f? 4/19 Four letters picked without replacement from {a: 5, k: 15}. Give prob of picking 4 k. 91/323 Two letters picked without replacement from zzxtxxgxgnxtntn. What is prob of picking 1 t and 1 n? 3/35 Three letters picked without replacement from qanznnznnnqznnza. Give prob of picking 2 q and 1 n. 1/70 What is prob of picking 2 u when two letters picked without replacement from uuuuuu? 1 Two letters picked without replacement from {w: 2, r: 2, h: 1, o: 1, u: 2}. Give prob of picking 1 r and 1 h. 1/14 Three letters picked without replacement from {q: 17, o: 1}. What is prob of picking 1 o and 2 q? 1/6 Two letters picked without replacement from fffxtrwtfrrfwf. Give prob of picking 1 w and 1 f. 12/91 Calculate prob of picking 1 q, 1 z, and 1 n when three letters picked without replacement from nzxqxznzqyznqqxqb. 3/34 Two letters picked without replacement from {m: 3, x: 4, t: 2, r: 1}. What is prob of picking 1 x and 1 t? 8/45 What is prob of picking 1 e, 2 s, and 1 x when four letters picked without replacement from sseyseexes? 4/35 Three letters picked without replacement from {v: 1, k: 6, h: 1, x: 1, i: 3}. What is prob of picking 1 h and 2 k? 3/44 What is prob of picking 1 w and 2 e when three letters picked without replacement from {w: 9, e: 7}? 27/80 Three letters picked without replacement from inryq. What is prob of picking 1 y, 1 n, and 1 r? 1/10 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 15, a: 4}. 20/57 What is prob of picking 2 n and 1 l when three letters picked without replacement from yksnlssyny? 1/120 What is prob of picking 1 x and 1 f when two letters picked without replacement from pffxxfpfxfxx? 25/66 What is prob of picking 1 o and 2 t when three letters picked without replacement from {g: 2, t: 3, b: 7, r: 4, o: 3}? 3/323 Two letters picked without replacement from zuppztwg. What is prob of picking 1 g and 1 t? 1/28 Four letters picked without replacement from oococoocooocoo. Give prob of picking 2 o and 2 c. 270/1001 Three letters picked without replacement from juxxju. What is prob of picking 1 j and 2 x? 1/10 Four letters picked without replacement from ssullljjjluuqqqj. Give prob of picking 1 q, 1 u, 1 j, and 1 s. 18/455 What is prob of picking 1 q, 2 s, and 1 y when four letters picked without replacement from qstqsiy? 2/35 Four letters picked without replacement from cbbbbbbbc. What is prob of picking 2 b and 2 c? 1/6 What is prob of picking 2 d when two letters picked without replacement from eeeeeeeededdeeee? 1/40 Four letters picked without replacement from zoeeehzzjzzjjozj. Give prob of picking 1 e and 3 j. 3/455 Four letters picked without replacement from {p: 10, j: 1, f: 4, g: 5}. Give prob of picking 1 j, 1 g, and 2 p. 15/323 Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {l: 1, g: 7, u: 1, e: 2, q: 9}. 0 What is prob of picking 3 m when three letters picked without replacement from {q: 5, m: 3}? 1/56 Calculate prob of picking 2 g and 2 k when four letters picked without replacement from gggkgggglkkklydll. 9/170 Two letters picked without replacement from yssrsdo. What is prob of picking 1 d and 1 y? 1/21 Two letters picked without replacement from hjppphp. Give prob of picking 2 p. 2/7 Three letters picked without replacement from {p: 1, s: 5, z: 1, c: 2, i: 1}. Give prob of picking 2 s and 1 z. 1/12 What is prob of picking 4 v when four letters picked without replacement from {v: 5, h: 3}? 1/14 Calculate prob of picking 1 a, 1 p, and 1 s when three letters picked without replacement from {a: 2, p: 2, s: 4, d: 3, x: 1}. 4/55 Four letters picked without replacement from {n: 7, y: 2, p: 2}. Give prob of picking 1 n, 2 y, and 1 p. 7/165 Two letters picked without replacement from deezeeozezedezeeev. Give prob of picking 1 d and 1 e. 20/153 Two letters picked without replacement from {g: 3, j: 3, c: 7, n: 3, s: 1, m: 1}. What is prob of picking 1 m and 1 s? 1/153 What is prob of picking 1 e and 2 x when three letters picked without replacement from wxwxwfewwwwxwfwwx? 3/340 What is prob of picking 2 k, 1 j, and 1 a when four letters picked without replacement from ajwkckp? 1/35 What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 3, l: 1, i: 6, h: 2, e: 1}? 1/26 Two letters picked without replacement from {c: 11, s: 5}. Give prob of picking 2 s. 1/12 Calculate prob of picking 2 s and 1 p when three letters picked without replacement from hpbkhbkskhsssk. 3/182 Four letters picked without replacement from {h: 2, x: 8}. Give prob of picking 2 h and 2 x. 2/15 Three letters picked without replacement from ywyyywyyyyyyyyyyyyyy. What is prob of picking 2 w and 1 y? 3/190 Three letters picked without replacement from {o: 1, j: 2, w: 1, v: 1, a: 1, t: 1}. What is prob of picking 1 w, 1 j, and 1 o? 2/35 Two letters picked without replacement from ssmzk. What is prob of picking 1 k and 1 m? 1/10 Three letters picked without replacement from {y: 2, z: 3}. What is prob of picking 1 y and 2 z? 3/5 Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {y: 1, p: 4, d: 2, c: 10}. 0 What is prob of picking 2 r and 2 j when four letters picked without replacement from jrknjjnrnkjrk? 18/715 Two letters picked without replacement from rlllrl. Give prob of picking 2 r. 1/15 What is prob of picking 3 c when three letters picked without replacement from {q: 3, c: 3, d: 2, s: 3, n: 5}? 1/560 Three letters picked without replacement from {w: 1, j: 1, o: 4, t: 1, n: 1}. What is prob of picking 1 j, 1 t, and 1 w? 1/56 What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzzhzzzzz? 11/15 What is prob of picking 1 a and 1 c when two letters picked without replacement from cauarcjj? 1/7 Four letters picked without replacement from {v: 3, y: 1, s: 4, l: 2, i: 1, g: 1}. Give prob of picking 1 i, 2 s, and 1 l. 4/165 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
hat is the least common multiple of 27 and 21? 189 Calculate the common denominator of 6/49 and 87/70. 490 Find the common denominator of -28/3 and 19/5. 15 Calculate the common denominator of -53/9 and -65/34. 306 What is the smallest common multiple of 124 and 2294? 4588 What is the lowest common multiple of 92 and 84? 1932 Find the common denominator of 73/35 and 59/301. 1505 Find the common denominator of -83/21 and 71/78. 546 Calculate the smallest common multiple of 124 and 128. 3968 What is the least common multiple of 145 and 3161? 15805 What is the common denominator of 11/15 and -37/110? 330 What is the lowest common multiple of 10 and 140? 140 What is the common denominator of 46/83 and 117/20? 1660 What is the least common multiple of 155 and 10? 310 What is the smallest common multiple of 9 and 373? 3357 What is the smallest common multiple of 3745 and 8? 29960 What is the smallest common multiple of 624 and 384? 4992 Calculate the smallest common multiple of 486 and 486. 486 What is the least common multiple of 8 and 28176? 28176 Find the common denominator of 55/54 and -2/99. 594 Find the common denominator of -25/536 and -17/88. 5896 What is the smallest common multiple of 798 and 1862? 5586 What is the smallest common multiple of 121 and 132? 1452 What is the lowest common multiple of 2 and 53? 106 What is the least common multiple of 3 and 5068? 15204 What is the common denominator of -27/85 and -77/170? 170 What is the lowest common multiple of 133 and 21? 399 Calculate the smallest common multiple of 40 and 112. 560 Calculate the lowest common multiple of 1780 and 18. 16020 Calculate the smallest common multiple of 24 and 4. 24 Calculate the smallest common multiple of 5 and 2191. 10955 Calculate the least common multiple of 1712 and 2. 1712 Calculate the least common multiple of 40 and 320. 320 Calculate the lowest common multiple of 252 and 56. 504 What is the lowest common multiple of 130 and 90? 1170 Calculate the smallest common multiple of 48 and 9. 144 Calculate the common denominator of -3/8 and 40/7. 56 What is the lowest common multiple of 22 and 110? 110 Find the common denominator of 70/207 and 56/3. 207 What is the lowest common multiple of 96 and 128? 384 What is the least common multiple of 3012 and 10? 15060 What is the least common multiple of 274 and 10? 1370 What is the lowest common multiple of 17 and 6? 102 Calculate the common denominator of -67/390 and -187/480. 6240 Calculate the least common multiple of 36 and 36. 36 Find the common denominator of 31/14 and -22/41. 574 Calculate the lowest common multiple of 644 and 112. 2576 What is the lowest common multiple of 4 and 320? 320 Calculate the least common multiple of 238 and 84. 1428 What is the smallest common multiple of 102 and 12? 204 What is the lowest common multiple of 1376 and 80? 6880 What is the lowest common multiple of 26 and 9? 234 Calculate the smallest common multiple of 588 and 1470. 2940 What is the common denominator of -41/10761 and 67/12? 43044 Find the common denominator of 137/186 and -85/18. 558 Calculate the smallest common multiple of 24 and 80. 240 What is the common denominator of -13/24 and -131/120? 120 What is the least common multiple of 308 and 539? 2156 What is the least common multiple of 21 and 329? 987 Calculate the smallest common multiple of 5631 and 6. 11262 What is the smallest common multiple of 36 and 25872? 77616 What is the lowest common multiple of 230 and 1610? 1610 Calculate the lowest common multiple of 6 and 260. 780 Find the common denominator of 12/2599 and -26/7. 18193 Calculate the least common multiple of 27 and 1197. 3591 What is the lowest common multiple of 121 and 165? 1815 Calculate the common denominator of -37/16 and -35/64. 64 What is the smallest common multiple of 144 and 135? 2160 What is the common denominator of -59/16 and 45/32? 32 Find the common denominator of -23/412 and 79/22. 4532 What is the smallest common multiple of 364 and 260? 1820 Calculate the lowest common multiple of 188 and 2452. 115244 Calculate the smallest common multiple of 17 and 5. 85 Find the common denominator of 87/3818 and 25/4. 7636 What is the common denominator of -87/448 and -83/320? 2240 Calculate the common denominator of 89/208 and 49/208. 208 Find the common denominator of 71/3081 and -97/632. 24648 What is the common denominator of -51/20 and 91/1060? 1060 Find the common denominator of 53/228 and 11/437. 5244 What is the lowest common multiple of 52 and 48? 624 What is the common denominator of 20/211 and -37/5? 1055 Calculate the least common multiple of 18654 and 15. 93270 Find the common denominator of 79/48 and 75/2144. 6432 What is the common denominator of -1/60 and -73/24? 120 What is the common denominator of 99/4 and 73/172? 172 Calculate the least common multiple of 1 and 9. 9 Calculate the smallest common multiple of 63 and 63. 63 Find the common denominator of 46/75 and -17/1335. 6675 Calculate the smallest common multiple of 22 and 76. 836 Calculate the common denominator of -169/30 and -64/1221. 12210 Calculate the common denominator of -57/508 and -29/40. 5080 Calculate the smallest common multiple of 1113 and 24. 8904 Calculate the smallest common multiple of 2852 and 1364. 31372 What is the common denominator of 64/15 and 37/460? 1380 Calculate the common denominator of -179/60 and 49/8. 120 Calculate the common denominator of -30/7 and 163/336. 336 Calculate the smallest common multiple of 138 and 805. 4830 What is the common denominator of -1/80 and 117/790? 6320 Calculate the lowest common multiple of 100 and 45. 900 What is the least common multiple of 205 and 5? 205 Find the common denominator of -67/1926 and -32/153. 32742 Find the common denominator of -95/12 and -29/405. 1620 What is the smallest common multiple of 1520 and 570? 4560 Find the common denominator of -57/2428 and -56/11. 26708 Find the common denominator of -91/564 and -131/10716. 10716 Calculate the common denominator of 7/108 and -145/216. 216 Find the common denominator of 121/700 and -93/700. 700 Calculate the common denominator of -81/46 and 119/20. 460 Calculate the lowest common multiple of 3717 and 21. 3717 Find the common denominator of 77/40 and -97/32. 160 What is the smallest common multiple of 70 and 42? 210 Find the common denominator of 53/152 and -63/38. 152 What is the smallest common multiple of 531 and 1003? 9027 What is the lowest common multiple of 174 and 30? 870 What is the least common multiple of 7215 and 104? 57720 What is the common denominator of 31/3915 and -23/33? 43065 Calculate the least common multiple of 1598 and 47. 1598 What is the lowest common multiple of 180 and 220? 1980 What is the least common multiple of 80 and 200? 400 Calculate the smallest common multiple of 200 and 16. 400 Calculate the common denominator of -73/45 and 20/4167. 20835 Calculate the common denominator of 76/81 and -181/360. 3240 What is the common denominator of 77/72 and 179/120? 360 Calculate the common denominator of 77/18 and 17/36. 36 Calculate the common denominator of 59/30 and 23/15. 30 What is the common denominator of 119/12 and 115/48? 48 Calculate the least common multiple of 20 and 55. 220 Calculate the least common multiple of 76 and 8. 152 Calculate the lowest common multiple of 2871 and 3509. 31581 What is the common denominator of -57/4 and 13/222? 444 What is the smallest common multiple of 2 and 76? 76 Calculate the common denominator of 85/63 and -29/1183. 10647 What is the common denominator of 29/8 and 103/46? 184 What is the common denominator of 33/136 and 53/32? 544 Calculate the common denominator of 71/304 and -63/494. 3952 Calculate the lowest common multiple of 5 and 24. 120 Calculate the common denominator of -41/426 and 4. 426 Find the common denominator of -187/450 and -1/342. 8550 What is the smallest common multiple of 55 and 20? 220 Calculate the least common multiple of 21 and 150. 1050 What is the lowest common multiple of 1144 and 8? 1144 Calculate the common denominator of 161/900 and -131/270. 2700 What is the common denominator of 129/110 and 41/15? 330 What is the common denominator of -49/90 and 73/45? 90 Calculate the smallest common multiple of 287 a
{ "pile_set_name": "DM Mathematics" }
und 0.04355031452 to 6 decimal places. 0.04355 Round 6.282233 to 1 decimal place. 6.3 What is 0.013255434 rounded to 2 decimal places? 0.01 Round -150.3613592 to zero decimal places. -150 What is 0.0105695358 rounded to 6 dps? 0.01057 What is 0.0097393319 rounded to six decimal places? 0.009739 What is 56426.4858 rounded to the nearest one hundred? 56400 What is 0.0027976247 rounded to five decimal places? 0.0028 What is -0.00451000263 rounded to six dps? -0.00451 Round -0.0001307186036 to five decimal places. -0.00013 What is 0.007836905575 rounded to 4 dps? 0.0078 Round 0.000007515644 to six dps. 0.000008 What is 40.823826 rounded to 2 decimal places? 40.82 Round 61.0430246 to the nearest 10. 60 What is 0.0097404489 rounded to three dps? 0.01 What is 187.270409 rounded to the nearest integer? 187 Round 1802620.89 to the nearest one hundred. 1802600 Round -61555669 to the nearest one million. -62000000 Round 5.6751399 to two dps. 5.68 Round 87743621.1 to the nearest 100000. 87700000 What is -2195925420 rounded to the nearest 100000? -2195900000 What is 0.569770024 rounded to three decimal places? 0.57 What is -1682419.443 rounded to the nearest one hundred? -1682400 What is -17879.244651 rounded to the nearest ten? -17880 What is -7.0673659 rounded to 3 dps? -7.067 What is 4.32195793 rounded to the nearest integer? 4 What is 1.287258447 rounded to one dp? 1.3 What is 0.00001349024732 rounded to seven dps? 0.0000135 What is 1.70985808 rounded to four decimal places? 1.7099 What is 400304.6288 rounded to the nearest 100? 400300 What is 5.443130622 rounded to one decimal place? 5.4 What is 743.897988 rounded to the nearest one hundred? 700 Round 0.00003320040868 to 5 dps. 0.00003 What is 121338467 rounded to the nearest 10000? 121340000 What is 0.13986982817 rounded to 3 dps? 0.14 Round -4461.58313 to zero dps. -4462 Round -2.329971344 to three dps. -2.33 What is -774.194238 rounded to zero decimal places? -774 Round -23760015.8 to the nearest ten thousand. -23760000 What is -0.004092587312 rounded to 4 decimal places? -0.0041 What is -1382.3861 rounded to the nearest 10? -1380 What is 27.55213631 rounded to one dp? 27.6 Round -0.00050534203 to 6 decimal places. -0.000505 Round -34659.28 to the nearest 100. -34700 Round -167.03071 to the nearest integer. -167 What is 396393.5055 rounded to the nearest 100? 396400 Round 19793.339 to the nearest one hundred. 19800 What is -0.0000431506443 rounded to seven dps? -0.0000432 What is 0.00557795236 rounded to three dps? 0.006 What is -0.00073783017 rounded to seven dps? -0.0007378 Round 1822.602373 to the nearest 1000. 2000 What is -4723.63 rounded to the nearest 10? -4720 Round -8059.10941 to the nearest 100. -8100 Round 4.912448021 to three dps. 4.912 Round 0.000875616012 to 5 dps. 0.00088 What is -39834.235 rounded to the nearest 100? -39800 Round 2636264.6 to the nearest 100000. 2600000 Round 0.9477943 to 0 decimal places. 1 Round 0.0532083455 to 3 dps. 0.053 What is 146.15082 rounded to the nearest ten? 150 What is -4896311.13 rounded to the nearest ten thousand? -4900000 What is 727823.894 rounded to the nearest 100000? 700000 Round 4774.19073 to the nearest integer. 4774 What is 1252148650 rounded to the nearest 100000? 1252100000 Round 1237816308 to the nearest one hundred thousand. 1237800000 Round 0.000000569588197 to 7 dps. 0.0000006 Round -0.60567415 to three dps. -0.606 What is -21.791831 rounded to 2 decimal places? -21.79 What is -2191.76407 rounded to the nearest integer? -2192 Round 57074.7128 to the nearest 10. 57070 What is -0.00290071988 rounded to three decimal places? -0.003 What is -0.0256250679 rounded to 6 decimal places? -0.025625 Round 0.00026789792 to 4 dps. 0.0003 What is -934897440 rounded to the nearest one million? -935000000 Round -0.0046238787 to three dps. -0.005 What is -0.00003440448882 rounded to 6 decimal places? -0.000034 Round 0.204861687 to 5 dps. 0.20486 Round -0.00211315768 to 6 dps. -0.002113 Round 5373.0899 to the nearest one thousand. 5000 Round -136.18572706 to the nearest ten. -140 Round 85.0727288 to three decimal places. 85.073 Round -0.005832336967 to 3 dps. -0.006 What is 287458.606 rounded to the nearest 10? 287460 What is 105.714106 rounded to the nearest integer? 106 What is 54.89701296 rounded to three dps? 54.897 What is 0.00416734151 rounded to four decimal places? 0.0042 What is -0.694084822 rounded to 1 dp? -0.7 What is -96777.149 rounded to the nearest 10? -96780 Round 0.00100422774 to seven decimal places. 0.0010042 Round 332071990 to the nearest one million. 332000000 Round -0.1007187567 to five decimal places. -0.10072 Round -668115673.5 to the nearest one hundred thousand. -668100000 Round 0.004457821174 to five decimal places. 0.00446 What is -0.0000088813788 rounded to six dps? -0.000009 Round -0.0000015317979 to 6 dps. -0.000002 Round -2.0808115904 to 5 decimal places. -2.08081 What is 0.000060770132 rounded to seven decimal places? 0.0000608 Round 0.0037494183 to 6 decimal places. 0.003749 Round -0.0079737861 to 6 decimal places. -0.007974 What is 430148.043 rounded to the nearest one hundred thousand? 400000 Round -310.1205067 to the nearest 10. -310 Round -4340.0878 to the nearest 1000. -4000 Round 0.000044797633 to seven dps. 0.0000448 What is 1690.897174 rounded to one decimal place? 1690.9 Round -4.11481257 to 4 dps. -4.1148 What is -0.09963304 rounded to 2 dps? -0.1 What is -388093.821 rounded to the nearest one hundred? -388100 What is 54788905 rounded to the nearest one million? 55000000 Round 10418210.92 to the nearest 1000000. 10000000 Round 0.00000157667812 to six dps. 0.000002 What is -0.00532120274 rounded to three dps? -0.005 Round 0.02221203 to three dps. 0.022 Round -10123.9069 to the nearest integer. -10124 What is -69939466.82 rounded to the nearest ten thousand? -69940000 What is 369490.532 rounded to the nearest 1000? 369000 Round -167512.047 to the nearest 10000. -170000 What is 0.00264620781 rounded to three decimal places? 0.003 Round -0.298964616 to four decimal places. -0.299 Round 58.6457366 to one dp. 58.6 What is 2012.4473 rounded to the nearest 100? 2000 Round 2.00765126 to two dps. 2.01 Round 0.0000010727238435 to seven decimal places. 0.0000011 Round 3169.611362 to the nearest integer. 3170 What is -2266880.67 rounded to the nearest ten thousand? -2270000 Round 0.0003320951616 to 7 decimal places. 0.0003321 What is -74.02002 rounded to the nearest integer? -74 What is 403.03135 rounded to the nearest 100? 400 What is 0.0751987716 rounded to 2 decimal places? 0.08 Round 3595080.259 to the nearest one thousand. 3595000 What is 0.0045636956 rounded to four dps? 0.0046 What is -3.3616366 rounded to 1 dp? -3.4 What is 0.000121985236 rounded to seven decimal places? 0.000122 Round 0.00000356824407 to seven decimal places. 0.0000036 What is 0.0002408019539 rounded to five decimal places? 0.00024 Round -3919208.63 to the nearest 100000. -3900000 What is -671861.6415 rounded to the nearest 10000? -670000 What is 957.00837 rounded to the nearest one hundred? 1000 Round -156.2985537 to 0 decimal places. -156 What is 20.878046 rounded to 3 dps? 20.878 Round -872527.2593 to the nearest 10. -872530 Round -15.7752057 to two dps. -15.78 What is -102647840 rounded to the nearest 100000? -102600000 What is 0.0000593662688 rounded to five decimal places? 0.00006 What is -2919847400 rounded to the nearest 1000000? -2920000000 What is 1499235.58 rounded to the nearest 1000? 1499000 Round 739348570 to the nearest 1000000. 739000000 Round 1.094124021 to 2 decimal places. 1.09 Round 131335.8407 to the nearest 100. 131300 Round 0.065757474 to four decimal places. 0.0658 Round -1146195.67 to the nearest 100000. -1100000 Round 29749490.12 to the nearest 1000000. 30000000 Round -822583.79 to the nearest 100. -822600 Round 18.778804017 to 0 dps. 19 What is 23056682.9 rounded to the nearest 100000? 23100000 What is 24860997 rounded to the nearest 10000? 24860000 What is 4385.231744 rounded to zero decimal places? 4385 What is 0.00397968046 rounded to three dps? 0.004 What is 7.798023 rounded to zero decimal places? 8 What is 305144.24 rounded to the nearest 1000? 305000 What is 13800.90093 rounded to the nearest 1000? 14000 What
{ "pile_set_name": "DM Mathematics" }
remainder when 215 is divided by 41? 10 What is the remainder when 1864 is divided by 148? 88 What is the remainder when 501 is divided by 11? 6 What is the remainder when 1409 is divided by 15? 14 What is the remainder when 1113 is divided by 371? 0 Calculate the remainder when 3888 is divided by 151. 113 What is the remainder when 150 is divided by 60? 30 What is the remainder when 1918 is divided by 80? 78 What is the remainder when 623 is divided by 24? 23 What is the remainder when 59 is divided by 17? 8 Calculate the remainder when 24011 is divided by 138. 137 Calculate the remainder when 1116 is divided by 1. 0 What is the remainder when 726 is divided by 122? 116 What is the remainder when 11172 is divided by 75? 72 Calculate the remainder when 245 is divided by 41. 40 Calculate the remainder when 474 is divided by 113. 22 What is the remainder when 77 is divided by 27? 23 Calculate the remainder when 647 is divided by 177. 116 Calculate the remainder when 15 is divided by 2. 1 What is the remainder when 13 is divided by 4? 1 Calculate the remainder when 184 is divided by 9. 4 Calculate the remainder when 77 is divided by 40. 37 What is the remainder when 338 is divided by 49? 44 Calculate the remainder when 275 is divided by 23. 22 What is the remainder when 52 is divided by 4? 0 What is the remainder when 218 is divided by 108? 2 What is the remainder when 106 is divided by 80? 26 Calculate the remainder when 653 is divided by 16. 13 Calculate the remainder when 14615 is divided by 172. 167 What is the remainder when 150 is divided by 150? 0 Calculate the remainder when 805 is divided by 92. 69 Calculate the remainder when 163 is divided by 103. 60 What is the remainder when 71 is divided by 39? 32 What is the remainder when 459 is divided by 241? 218 What is the remainder when 132 is divided by 67? 65 What is the remainder when 102 is divided by 8? 6 What is the remainder when 38 is divided by 17? 4 Calculate the remainder when 5407 is divided by 16. 15 Calculate the remainder when 1517 is divided by 117. 113 Calculate the remainder when 6014 is divided by 59. 55 What is the remainder when 1372 is divided by 51? 46 What is the remainder when 1299 is divided by 10? 9 Calculate the remainder when 757 is divided by 70. 57 What is the remainder when 773 is divided by 111? 107 Calculate the remainder when 1070 is divided by 18. 8 Calculate the remainder when 90 is divided by 13. 12 What is the remainder when 1018 is divided by 17? 15 What is the remainder when 371 is divided by 70? 21 Calculate the remainder when 203 is divided by 69. 65 Calculate the remainder when 507 is divided by 252. 3 What is the remainder when 547 is divided by 97? 62 Calculate the remainder when 93 is divided by 30. 3 What is the remainder when 804 is divided by 5? 4 Calculate the remainder when 9853 is divided by 1970. 3 What is the remainder when 359 is divided by 8? 7 Calculate the remainder when 10905 is divided by 38. 37 What is the remainder when 207 is divided by 6? 3 What is the remainder when 1068 is divided by 529? 10 Calculate the remainder when 540 is divided by 68. 64 Calculate the remainder when 365 is divided by 74. 69 What is the remainder when 145 is divided by 15? 10 What is the remainder when 1228 is divided by 65? 58 What is the remainder when 20409 is divided by 126? 123 What is the remainder when 519 is divided by 255? 9 Calculate the remainder when 5982 is divided by 63. 60 Calculate the remainder when 220 is divided by 9. 4 What is the remainder when 18867 is divided by 85? 82 Calculate the remainder when 1020 is divided by 207. 192 Calculate the remainder when 43519 is divided by 136. 135 Calculate the remainder when 880 is divided by 14. 12 What is the remainder when 344 is divided by 69? 68 Calculate the remainder when 194 is divided by 5. 4 Calculate the remainder when 6091 is divided by 11. 8 What is the remainder when 436 is divided by 11? 7 What is the remainder when 215 is divided by 18? 17 What is the remainder when 704 is divided by 77? 11 What is the remainder when 1487 is divided by 12? 11 Calculate the remainder when 320 is divided by 82. 74 What is the remainder when 45 is divided by 37? 8 Calculate the remainder when 304 is divided by 44. 40 What is the remainder when 48 is divided by 19? 10 What is the remainder when 713 is divided by 93? 62 What is the remainder when 2190 is divided by 18? 12 What is the remainder when 1012 is divided by 176? 132 What is the remainder when 944 is divided by 47? 4 Calculate the remainder when 181 is divided by 168. 13 Calculate the remainder when 441 is divided by 117. 90 Calculate the remainder when 106 is divided by 45. 16 What is the remainder when 174 is divided by 41? 10 What is the remainder when 65 is divided by 25? 15 What is the remainder when 142 is divided by 4? 2 Calculate the remainder when 11 is divided by 7. 4 Calculate the remainder when 4623 is divided by 39. 21 What is the remainder when 3762 is divided by 102? 90 What is the remainder when 108 is divided by 46? 16 What is the remainder when 2026 is divided by 204? 190 What is the remainder when 920 is divided by 149? 26 What is the remainder when 22 is divided by 8? 6 Calculate the remainder when 137 is divided by 6. 5 What is the remainder when 407 is divided by 68? 67 What is the remainder when 4730 is divided by 471? 20 Calculate the remainder when 338 is divided by 111. 5 What is the remainder when 265 is divided by 17? 10 Calculate the remainder when 725 is divided by 8. 5 What is the remainder when 123 is divided by 6? 3 Calculate the remainder when 270 is divided by 5. 0 What is the remainder when 781 is divided by 28? 25 What is the remainder when 200 is divided by 65? 5 What is the remainder when 1053 is divided by 16? 13 What is the remainder when 175 is divided by 11? 10 What is the remainder when 276 is divided by 270? 6 Calculate the remainder when 206 is divided by 144. 62 Calculate the remainder when 62 is divided by 26. 10 Calculate the remainder when 107 is divided by 44. 19 What is the remainder when 1975 is divided by 323? 37 Calculate the remainder when 996 is divided by 245. 16 Calculate the remainder when 72 is divided by 27. 18 Calculate the remainder when 171 is divided by 59. 53 Calculate the remainder when 52 is divided by 19. 14 What is the remainder when 404 is divided by 104? 92 Calculate the remainder when 47 is divided by 21. 5 Calculate the remainder when 1459 is divided by 21. 10 Calculate the remainder when 3516 is divided by 41. 31 Calculate the remainder when 170 is divided by 73. 24 What is the remainder when 3259 is divided by 192? 187 What is the remainder when 121 is divided by 25? 21 What is the remainder when 37 is divided by 13? 11 Calculate the remainder when 16 is divided by 10. 6 What is the remainder when 51 is divided by 50? 1 Calculate the remainder when 260 is divided by 11. 7 What is the remainder when 86 is divided by 22? 20 What is the remainder when 479 is divided by 20? 19 What is the remainder when 105 is divided by 28? 21 What is the remainder when 1134 is divided by 365? 39 Calculate the remainder when 4515 is divided by 20. 15 Calculate the remainder when 206 is divided by 42. 38 Calculate the remainder when 725 is divided by 28. 25 What is the remainder when 2696 is divided by 45? 41 Calculate the remainder when 2461 is divided by 16. 13 What is the remainder when 51 is divided by 27? 24 What is the remainder when 759 is divided by 65? 44 Calculate the remainder when 1958 is divided by 7. 5 What is the remainder when 21 is divided by 18? 3 Calculate the remainder when 484 is divided by 97. 96 What is the remainder when 10738 is divided by 3573? 19 What is the remainder when 321 is divided by 36? 33 What is the remainder when 7156 is divided by 76? 12 What is the remainder when 1800 is divided by 593? 21 Calculate the remainder when 808 is divided by 22. 16 Calculate the remainder when 4843 is divided by 31. 7 Calculate the remainder when 463 is divided by 154. 1 Calculate the remainder when 1698 is divided by 68. 66 Calculate the remainder when 6065 is divided by 758. 1 What is the remainder when 3770 is divided by 151? 146 Calculate the remainder when 227 i
{ "pile_set_name": "DM Mathematics" }
(77)/sqrt(7) + 3 + 3*sqrt(11) + 5 + sqrt(11))**2. -339 - 83*sqrt(11) Simplify ((sqrt(125) + -2*sqrt(125)*1 - sqrt(125)) + sqrt(125))*5*-4 + (2 + (sqrt(80) + -5)**2)*2*6. -380*sqrt(5) + 1284 Simplify (-3*(sqrt(270) + 2*sqrt(270) + sqrt(270)) - sqrt(270) - sqrt(270) - sqrt(270) - 3*(sqrt(270) - sqrt(270)*-2))/(-2*sqrt(90)*-1*2). -6*sqrt(3) Simplify (4*(-2*sqrt(5600))/sqrt(2))/((sqrt(192)*6)/(sqrt(27) - sqrt(432))). 30*sqrt(7) Simplify (-6*((sqrt(1701) - sqrt(1701)*4)*-2 + sqrt(1701) - sqrt(1701))/((sqrt(192)*-5)/sqrt(4)))**2. 45927/25 Simplify (-4 + (((1*sqrt(216) + sqrt(216) - sqrt(216))/sqrt(9))/((2*sqrt(12))/sqrt(6)))/(5*sqrt(66)/sqrt(396)*5))**2. -24*sqrt(2)/25 + 10018/625 Simplify (sqrt(425) + sqrt(425)*2 + -2 + 1)**2 + -4 + 6*3*(1*sqrt(425))**2*4. -30*sqrt(17) + 34422 Simplify 5 + (-5*(sqrt(108)/(sqrt(12)/sqrt(2)) + -5*sqrt(54)/sqrt(3)))/(-4*(-1*sqrt(441)*-2 + sqrt(441) + sqrt(441) + sqrt(441))). -sqrt(2)/7 + 5 Simplify ((sqrt(304) - (1 + 1 + sqrt(304) + sqrt(304) + sqrt(304))) + -2*(sqrt(304) + 0))**2 - ((5*(sqrt(19) + sqrt(475)))**2 + -2)*-2. 64*sqrt(19) + 39064 Simplify -1*(((-2 + sqrt(98))*3*3 - ((2*sqrt(98) - sqrt(98)) + 5 - 5*(sqrt(98) + sqrt(98) + 2)))*2)**2. -127684 + 13104*sqrt(2) Simplify (6*(sqrt(81) + -2*sqrt(81)*2))/(sqrt(18)/(sqrt(6)*1*4))*4. -864*sqrt(3) Simplify ((5 + 2*sqrt(76)*1 - (5 + sqrt(76)*3)*-1)*6)**2. 7200*sqrt(19) + 72000 Simplify (-6*(sqrt(528) + sqrt(528)*1*2))/(4*-2*sqrt(48)*2). 9*sqrt(11)/8 Simplify (-5*(sqrt(153) + (3*sqrt(153)*-1 - sqrt(153))))/(sqrt(36)*-3*-3) + 5. 5*sqrt(17)/6 + 5 Simplify (-1*6*sqrt(119)*1)/(2*3*sqrt(847) - sqrt(847)). -6*sqrt(17)/55 Simplify (6*-3*4*(1 + 0 + (sqrt(396) - sqrt(396)*1)))**2 + 5 + 1. 5190 Simplify (((4 + 3*sqrt(68) - sqrt(68)) + sqrt(68))**2 - (-1*sqrt(68)*1)**2) + ((sqrt(34) - -5*sqrt(34)*-2) + sqrt(34))/sqrt(2) + sqrt(17)*-2*4 + -4. 32*sqrt(17) + 556 Simplify -5 + ((sqrt(7) - sqrt(28)/sqrt(4)) + -4)*-3*5 + ((sqrt(448) + -3 - sqrt(448)) + (sqrt(7) - sqrt(63)/(3*sqrt(9) + sqrt(9))))**2. -9*sqrt(7)/2 + 1087/16 Simplify (1*(-5 + ((sqrt(432) - -1*sqrt(432))*-6*-2 - (sqrt(180)/sqrt(160))/(sqrt(48)/(sqrt(128) - sqrt(8))))))**2. -5745*sqrt(3)/2 + 3961003/16 Simplify ((-4*(sqrt(1008) - sqrt(1008)*1))/(3*((sqrt(99)*-2)/sqrt(11) - sqrt(9))) + 4)**2. 16 Simplify (1 + (sqrt(63) - sqrt(7))**2 + -6*(sqrt(7) - (sqrt(175))**2))*2 - (sqrt(77)/(sqrt(55)/sqrt(5)) + sqrt(567) + 2)*-5. 38*sqrt(7) + 2168 Simplify ((sqrt(360) - sqrt(360)*2*6)/(sqrt(12) - sqrt(48)/(-2*sqrt(4))))/((sqrt(150) + sqrt(150) + (sqrt(150) - -1*sqrt(150)*-1))*4). -11*sqrt(5)/60 Simplify -2*(0 + (sqrt(30)/(2*sqrt(20)/sqrt(2) + sqrt(10)) - (sqrt(18)/(sqrt(54)/sqrt(9)) + 1)) + 1)**2. -8/3 Simplify (4*(5*sqrt(152)*1*1)/((1*sqrt(72)*-2 - sqrt(72))/sqrt(9)))**2. 7600/9 Simplify 2*((sqrt(500) - (-4*(sqrt(500) - (sqrt(500) - 2*sqrt(500))) + sqrt(500)))*-2)/((sqrt(640) - sqrt(40) - sqrt(40))*6 + sqrt(40)). -80*sqrt(2)/13 Simplify 3 + (-3*(sqrt(192) + 4) - (4 + sqrt(24)/sqrt(8))*6)**2. 2160*sqrt(3) + 3999 Simplify (-1*sqrt(121)/(-4*sqrt(11)*-4) - (-2 + 2 + 2*sqrt(396) + sqrt(396)))**2. 918731/256 Simplify (sqrt(5) + -4 + sqrt(15)/sqrt(3))*-4 + 4*(sqrt(5) + (sqrt(5) - sqrt(125)) + 1) + 1 + 4. -20*sqrt(5) + 25 Simplify -5*(-6*((sqrt(245) - 3*(sqrt(245) + sqrt(245) + -1)) + -4*-2*sqrt(245)))**2. -398520 - 22680*sqrt(5) Simplify -4*(-2*(1 + sqrt(832) + 1) + 1 + (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*1))/sqrt(9)*-3)**2. -5236 - 240*sqrt(13) Simplify (-3 + 6*6*-5*-1*(sqrt(192) - (sqrt(192) + 1) - sqrt(192)))**2 + 5. 527040*sqrt(3) + 6254294 Simplify ((-2 + sqrt(931) + -2)**2 + (sqrt(931)*1)**2*1 + (1 + sqrt(931) + sqrt(931))**2 + 3 + -1)*4. -112*sqrt(19) + 22420 Simplify (6*3*(sqrt(475) + sqrt(475) + -1 + sqrt(475)))**2 - ((sqrt(209) + sqrt(209)*1)/sqrt(11) - sqrt(2299)*-5). -9777*sqrt(19) + 1385424 Simplify 3 + (6*sqrt(225)/sqrt(5)*-3)**2 + (-3*(-2*sqrt(900))/sqrt(5))**2. 21063 Simplify ((-1*sqrt(231))/sqrt(7) + sqrt(66)/(sqrt(2) + sqrt(98)) + sqrt(33))/((sqrt(528)*4)/(sqrt(243)/sqrt(9) + sqrt(3) + sqrt(3))). 5*sqrt(3)/128 Simplify (sqrt(252)/(5*sqrt(7)*3 - sqrt(7)))/(sqrt(432)*-2 + sqrt(432) - sqrt(3)*-1*-5). -sqrt(3)/119 Simplify (5 + sqrt(56)/sqrt(8))**2 + 4 + sqrt(847) + -6*(sqrt(56)/((sqrt(48)*3)/sqrt(6)))**2. 94/3 + 21*sqrt(7) Simplify (-1*((sqrt(136) - (sqrt(136) - 2*-1*sqrt(136)))*2)/(1*sqrt(968)*-4))**2. 17/121 Simplify (-1 + (3*2*sqrt(15)/sqrt(3) + -2*(sqrt(5) - sqrt(1000)/sqrt(8)))*-5 + -3 + -3)**2. 980*sqrt(5) + 24549 Simplify (1*4*sqrt(450)*3)/((1*sqrt(66)*4 + sqrt(66))/((sqrt(11) + sqrt(11)*2)*6)). 216*sqrt(3) Simplify (3 + ((((sqrt(108) - (sqrt(108) + -2))*2 - sqrt(108)) + (sqrt(108) - (sqrt(108) + 0))*2 + sqrt(108))*6 + 1)*6)**2 + -5. 23404 Simplify ((6*sqrt(360))/(1*sqrt(72)) - ((-4*sqrt(160)/sqrt(4))/(-1*sqrt(32)/sqrt(4)))**2) + 0. -80 + 6*sqrt(5) Simplify ((sqrt(143) + -2*sqrt(143)*-4)*6*5)/(5*(-2*sqrt(539)*-3 + sqrt(539) - sqrt(539))). 9*sqrt(13)/7 Simplify (sqrt(77)*-1*5 - -1*(sqrt(77)*2 + sqrt(77)))/((sqrt(63) - sqrt(504)/sqrt(72))/(2*sqrt(729)))*2. -108*sqrt(11) Simplify 2*-3*(-4*(-1 + sqrt(847))*2 - (sqrt(847) - ((sqrt(847)*-1)**2*-2 - sqrt(847)) - sqrt(847) - (sqrt(847) + -1 + 2)**2)). 462*sqrt(7) + 5028 Simplify 2 + (3 + sqrt(208) + -2 + sqrt(208) + 1)**2 + ((sqrt(208)*-1)**2 + 3)*-5 + -4 + 5. -216 + 32*sqrt(13) Simplify -2 + 1*-4*((sqrt(50) + 1)**2 + (sqrt(60)/sqrt(3))/sqrt(10) + sqrt(2) - -2*(sqrt(72) + -1)). -198 - 96*sqrt(2) Simplify (2*(sqrt(324) - -1*sqrt(324))*4*1)/(-3*sqrt(1728)*1 - ((sqrt(1728)*3 - sqrt(1728))*6 + sqrt(1728))). -sqrt(3)/4 Simplify (sqrt(520)*3)/sqrt(10) - 1*sqrt(52)*2 - sqrt(832)*1*3*-1. 26*sqrt(13) Simplify 1 + ((2 + -1*sqrt(1800))*-5)**2 + 3 + sqrt(1800) + sqrt(1800) + 0 + -3 + 3. -2940*sqrt(2) + 45104 Simplify (-2 + (0 + sqrt(704))*-1 + sqrt(704) + (sqrt(704) + -2 - sqrt(704)) + -5 + sqrt(704) + 3*(-5 + (sqrt(704) + 1 - sqrt(704) - sqrt(704)) + -4 + -5))**2. 1536*sqrt(11) + 5120 Simplify (6*(1*-1*sqrt(112) + -4*(sqrt(112) + -1)))**2 + (-5*(sqrt(112)*-4 + sqrt(112) + sqrt(112))**2 - (-1 + sqrt(112) + -1 + sqrt(112))). -5768*sqrt(7) + 99138 Simplify 0 + (5 + -1*sqrt(19))**2 + 5 + (0 + sqrt(171)*-2 + 3*sqrt(171)*-2)**2. -10*sqrt(19) + 10993 Simplify -5 + -5*((3 + -2 + sqrt(475))**2 + (sqrt(475)*1 + sqrt(475) - sqrt(475))**2*1)*4. -19025 - 200*sqrt(19) Simplify ((4 + sqrt(7) + (sqrt(42) - sqrt(462)/sqrt(11))/sqrt(6) + ((sqrt(7) + 1)*6 - sqrt(112)*-4))*5)**2. 11500*sqrt(7) + 95075 Simplify (5*((-2*sqrt(80) - sqrt(80)) + -1 - (-5 + -1 + sqrt(80)) - 5*(sqrt(80)*-2 + -4)))**2*3. 90000*sqrt(5) + 262875 Simplify -5 + 1*-3*((2 + -2 + (sqrt(475) + 1 - sqrt(475)) + sqrt(475))*1)**2. -1433 - 30*sqrt(19) Simplify -3*((sqrt(119) - 2*2*sqrt(119))/(-2*sqrt(7)*-5 + sqrt(7)) + -6*(1*sqrt(3264))/sqrt(3)). 1593*sqrt(17)/11 Simplify (6*(-6*(0 + sqrt(75)) + 0 - (-4 + 1*sqrt(75)*2)))**2. -11520*sqrt(3) + 173376 Simplify (sqrt(66)/(sqrt(176) + (sqrt(176) - 3*sqrt(176))))/(sqrt(50)*3 - sqrt(18)*1) + 4. -sqrt(3)/48 + 4 Simplify ((sqrt(76) + 1*sqrt(76))*-2*6*3)/(((sqrt(1600) - (-1*sqrt(1600) + sqrt(1600))) + sqrt(16))/sqrt(4)*2). -36*sqrt(19)/11 Simplify 2 + (((sqrt(50) - sqrt(450)*-1) + sqrt(50))/(-1*sqrt(40)) - (-2 + sqrt(245) + sqrt(245) + (1 + sqrt(5))**2*-1)). -29*sqrt(5)/2 + 10 Simplify ((5*(-5*(sqrt(2420)*-2 - sqrt(2420)) - sqrt(2420)))/((-2*sqrt(4860))/(sqrt(384) - 2*sqrt(384))))**2. 18972800/81 Simplify (sqrt(847) + (sqrt(847) - (sqrt(847)*2 + sqrt(847) + -1)) + 0 + sqrt(1008) + 1 + -2 + -2)**2. -4*sqrt(7) + 11 Simplify (sqrt(72) - (2 + sqrt(72)*-2)**2) + (sqrt(18) + 1*sqrt(18))**2*5 + ((sqrt(112)*2 + sqrt(112))/sqrt(7))/(sqrt(32)*4). 68 + 435*sqrt(2)/8 Simplify 2*(sqrt(24)/(sqrt(15)/sqrt(5)) + 0 - ((sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + 2*sqrt(80))/sqrt(10) - (sqrt(8) - (0 + sqrt(8)*-1))))**2. 144 Simplify (-6*((sqrt(704) - (2*sqrt(704) - sqrt(704))) + sqrt(704)) + (sqrt(704) + -1)*-4 + 4 + -1 + sqrt(704) + -5*(1 + sqrt(704)))**2*-1*6. -827928 + 2688*sqrt(11) Simplify (-1*-1*(sqrt(539) - 4*sqrt(539)) + sqrt(539) + -5*(sqrt(539) + 1 + sqrt(539)) + sqrt(539) + 3 + -5)**2*-6. -391608 - 6468*sqrt(11) Simplify ((5 + -5*sqrt(5200)*-2)**2 - (-5 + sqrt(5200) + 1 - (4 + (1*sqrt(5200) - sqrt(5200))))) + 5 + -1. 1980*sqrt(13) + 520037 Simplify (sqrt(2448) + 1 + sqrt(2448) + -2 + 3 + -3*sqrt(
{ "pile_set_name": "DM Mathematics" }
e in millilitres? 34500 What is 498.1814 years in centuries? 4.981814 What is one tenth of a kilogram in milligrams? 100000 What is 43.86068 millennia in decades? 4386.068 What is fifty-seven halves of a second in milliseconds? 28500 What is 0.223797t in grams? 223797 How many milligrams are there in 0.44194t? 441940000 What is 0.415084l in millilitres? 415.084 How many milliseconds are there in 8/15 of a minute? 32000 How many centuries are there in seventy-four fifths of a millennium? 148 Convert 25.1009ms to microseconds. 25100.9 What is 11/8 of a microgram in nanograms? 1375 How many millilitres are there in five quarters of a litre? 1250 Convert 375.6147 kilograms to micrograms. 375614700000 What is 0.636478cm in meters? 0.00636478 What is 2460909.6 seconds in days? 28.48275 How many minutes are there in 1/10 of a day? 144 Convert 7035.195um to nanometers. 7035195 How many years are there in three fifths of a decade? 6 What is 3/50 of a kilometer in centimeters? 6000 How many years are there in seven quarters of a century? 175 What is 2.808858 millilitres in litres? 0.002808858 How many millilitres are there in 838.2148 litres? 838214.8 Convert 8.00324 days to nanoseconds. 691479936000000 What is 43/4 of a kilogram in grams? 10750 What is 836988.2mm in micrometers? 836988200 What is seventeen quarters of a day in hours? 102 Convert 743123.8cm to kilometers. 7.431238 How many millilitres are there in 11/2 of a litre? 5500 What is three fifths of a microgram in nanograms? 600 What is 9/10 of a millennium in decades? 90 Convert 1.836544nm to meters. 0.000000001836544 How many centimeters are there in 7710.823m? 771082.3 How many months are there in 20811.55 decades? 2497386 What is 359912.2ml in litres? 359.9122 What is 765.4152um in kilometers? 0.0000007654152 How many kilograms are there in seven eighths of a tonne? 875 What is fourty-six fifths of a litre in millilitres? 9200 What is five quarters of a microgram in nanograms? 1250 Convert 76141.59 weeks to milliseconds. 46050433632000 How many years are there in thirty-seven fifths of a millennium? 7400 Convert 70257.67ng to kilograms. 0.00000007025767 How many meters are there in eleven eighths of a kilometer? 1375 How many millimeters are there in 6/25 of a meter? 240 Convert 96.22868l to millilitres. 96228.68 What is 976.0644km in nanometers? 976064400000000 What is one quarter of a week in minutes? 2520 What is 6/25 of a litre in millilitres? 240 How many nanoseconds are there in 41399.52us? 41399520 What is 73/5 of a century in years? 1460 What is 3/40 of a kilogram in milligrams? 75000 What is 18965.607 months in millennia? 1.58046725 How many milliseconds are there in fourty-three halves of a second? 21500 What is 75/8 of a centimeter in micrometers? 93750 How many grams are there in one twentieth of a kilogram? 50 What is 0.123447ng in kilograms? 0.000000000000123447 Convert 0.4558533l to millilitres. 455.8533 What is 2/9 of a day in seconds? 19200 How many millennia are there in 24.07298 decades? 0.2407298 What is eleven halves of a day in minutes? 7920 What is 295.7051 centuries in decades? 2957.051 Convert 7758.148l to millilitres. 7758148 What is 870.03783ms in hours? 0.000241677175 What is 482.4405 kilometers in micrometers? 482440500000 How many hours are there in 4828.9383 milliseconds? 0.00134137175 What is one quarter of a meter in millimeters? 250 Convert 144161.7 millimeters to micrometers. 144161700 What is one twentieth of a millennium in decades? 5 What is 0.1055561cm in micrometers? 1055.561 What is 3/25 of a litre in millilitres? 120 How many millennia are there in 8.67367 decades? 0.0867367 What is 0.238446ml in litres? 0.000238446 How many decades are there in 3.583184 centuries? 35.83184 How many millilitres are there in 97.66393l? 97663.93 How many milligrams are there in thirteen fifths of a gram? 2600 How many seconds are there in 0.6755969 minutes? 40.535814 Convert 200462.7 hours to minutes. 12027762 What is twenty-one fifths of a century in months? 5040 How many months are there in ten thirds of a year? 40 What is 43/4 of a meter in millimeters? 10750 How many millilitres are there in 21/2 of a litre? 10500 What is 6/25 of a hour in seconds? 864 What is 0.0991136ms in microseconds? 99.1136 How many nanometers are there in 15/4 of a micrometer? 3750 How many decades are there in 6/5 of a century? 12 How many millilitres are there in 3/50 of a litre? 60 What is 950893.2 months in centuries? 792.411 Convert 8263.679 centuries to months. 9916414.8 How many months are there in 285.3273 decades? 34239.276 How many micrograms are there in 13/5 of a milligram? 2600 What is three tenths of a millennium in years? 300 What is eight thirds of a year in months? 32 What is thirty-two sevenths of a week in days? 32 Convert 37.48013 millilitres to litres. 0.03748013 What is 37/2 of a micrometer in nanometers? 18500 How many years are there in 360.965 centuries? 36096.5 How many seconds are there in 5036.515 days? 435154896 What is 87/4 of a kilogram in grams? 21750 Convert 46.81704ug to kilograms. 0.00000004681704 What is thirteen quarters of a meter in centimeters? 325 What is thirty-one fifths of a gram in milligrams? 6200 Convert 3.098371 millimeters to nanometers. 3098371 Convert 86.2687kg to grams. 86268.7 Convert 981301.7 micrograms to kilograms. 0.0009813017 Convert 997793.7 months to millennia. 83.149475 What is 0.5546828l in millilitres? 554.6828 What is 854037.6cm in millimeters? 8540376 Convert 5588.11 kilograms to grams. 5588110 How many seconds are there in 17/2 of a hour? 30600 What is 3/5 of a micrometer in nanometers? 600 How many minutes are there in 182.626 hours? 10957.56 How many kilograms are there in 3/5 of a tonne? 600 How many micrometers are there in 2504.311 centimeters? 25043110 How many centuries are there in 118.53186 months? 0.09877655 What is 52/5 of a litre in millilitres? 10400 How many hours are there in 20444.49s? 5.679025 Convert 0.4231333 millennia to years. 423.1333 What is 699621.8 litres in millilitres? 699621800 Convert 453.6339mg to nanograms. 453633900 How many micrometers are there in eleven tenths of a millimeter? 1100 What is one fifteenth of a century in months? 80 What is 15075.09 litres in millilitres? 15075090 How many litres are there in 196.622ml? 0.196622 What is 33/5 of a hour in minutes? 396 How many minutes are there in 11/2 of a day? 7920 How many grams are there in 88.22679ng? 0.00000008822679 How many nanograms are there in 3/25 of a microgram? 120 How many months are there in 32/5 of a decade? 768 How many months are there in 6/25 of a millennium? 2880 What is 1/5 of a milligram in micrograms? 200 What is 0.3473896 litres in millilitres? 347.3896 What is 7/8 of a milligram in micrograms? 875 How many litres are there in 54488.37 millilitres? 54.48837 How many tonnes are there in 6.420806mg? 0.000000006420806 How many months are there in 200.6053 years? 2407.2636 What is 6.789474l in millilitres? 6789.474 Convert 0.5313146mg to micrograms. 531.3146 What is 71.63759 weeks in hours? 12035.11512 Convert 627243.1 litres to millilitres. 627243100 How many millilitres are there in fifteen quarters of a litre? 3750 What is 761.2439 kilograms in tonnes? 0.7612439 How many millilitres are there in twenty-six fifths of a litre? 5200 What is 9.378872um in nanometers? 9378.872 Convert 0.3903571ml to litres. 0.0003903571 What is 23.63673 months in years? 1.9697275 How many millilitres are there in 0.416028 litres? 416.028 How many months are there in 3/8 of a decade? 45 How many nanograms are there in 11/4 of a microgram? 2750 How many months are there in 1187.794 decades? 142535.28 Convert 44072.18 litres to millilitres. 44072180 How many meters are there in 192.6066 centimeters? 1.926066 How many meters are there in 98.13741cm? 0.9813741 What is 3/40 of a litre in millilitres? 75 Convert 50.75111ng to milligrams. 0.00005075111 What is six fifths of a millennium in centuries? 12 What is 67/5 of a hour in minutes? 804 What is one tenth of a kilometer in centimeters? 10000 How many days are there in 190727.865 nanoseconds? 0.0000000022074984375 How many nanometers are there in twenty-six fifths of a micrometer? 5200 How ma
{ "pile_set_name": "DM Mathematics" }
Is 73433 composite? False Is 299087 a prime number? True Is 5021 a composite number? False Is 1093471 a composite number? True Is 62117 composite? True Is 774415 a prime number? False Is 472847 a prime number? True Is 7897 a prime number? False Is 9863 composite? True Is 9407 composite? True Is 26801 a prime number? True Is 5779 composite? False Is 1385 composite? True Is 1467347 a prime number? False Is 507973 prime? False Is 9383 a composite number? True Is 2987 prime? False Is 5989 prime? False Is 19658 prime? False Is 327553 composite? False Is 60127 composite? False Is 4685 composite? True Is 176699 composite? False Is 1843 a prime number? False Is 3907 a prime number? True Is 28321 a composite number? True Is 1551551 composite? False Is 35381 prime? True Is 19961 composite? False Is 911429 composite? True Is 112399 composite? True Is 25861 a composite number? True Is 136013 prime? True Is 2073 a prime number? False Is 2228029 a composite number? True Is 311 a prime number? True Is 23459 a prime number? True Is 26521 a prime number? False Is 240821 prime? False Is 98437 composite? True Is 12799 a composite number? False Is 56873 prime? True Is 3287 a composite number? True Is 10993 prime? True Is 5001101 composite? True Is 907993 composite? True Is 877 a composite number? False Is 116113 a composite number? False Is 1892617 a prime number? True Is 2735 a prime number? False Is 8767 a prime number? False Is 36753 prime? False Is 825691 a prime number? False Is 65323 a prime number? True Is 38431 composite? False Is 1177 a prime number? False Is 57593 composite? False Is 16087 a composite number? False Is 2721 a composite number? True Is 583 composite? True Is 84647 prime? False Is 56453 a prime number? True Is 19945 a prime number? False Is 101683 a composite number? True Is 774577 a composite number? False Is 4847 prime? False Is 195229 prime? True Is 27257 a prime number? False Is 82439 a composite number? True Is 5747 composite? True Is 17467 prime? True Is 13441 composite? False Is 77299 a composite number? True Is 15089 a composite number? True Is 15401 composite? False Is 1103 prime? True Is 65153 composite? True Is 899485 a composite number? True Is 9509 a composite number? True Is 615371 a composite number? True Is 229069 composite? True Is 2200139 composite? False Is 1255 a composite number? True Is 82457 composite? False Is 110681 a composite number? False Is 651791 prime? False Is 626113 a composite number? False Is 5087 a prime number? True Is 35051 a composite number? False Is 350195 composite? True Is 1259 prime? True Is 19471 a prime number? True Is 171517 prime? True Is 268607 a composite number? False Is 8101 a composite number? False Is 251 composite? False Is 5461 composite? True Is 795827 prime? True Is 140383 composite? True Is 57053 a composite number? True Is 386963 a prime number? True Is 87199 a prime number? False Is 5438479 prime? True Is 1076303 a prime number? True Is 325339 a prime number? False Is 345011 prime? True Is 55771 prime? False Is 92693 a prime number? True Is 3457 a composite number? False Is 803251 composite? False Is 5332165 composite? True Is 21181 prime? False Is 158411 a prime number? False Is 4907 a prime number? False Is 42709 a composite number? False Is 786859 a composite number? False Is 12439 a prime number? False Is 1985 prime? False Is 345041 composite? False Is 4811513 a prime number? False Is 402299 composite? False Is 165251 composite? True Is 19661 a composite number? False Is 2479 composite? True Is 567583 composite? True Is 407129 prime? False Is 831323 a composite number? False Is 73961 composite? False Is 10511 composite? True Is 325181 a composite number? False Is 8353 prime? True Is 288641 a prime number? False Is 128581 prime? False Is 473021 a prime number? True Is 6387 prime? False Is 202441 prime? True Is 14281 composite? False Is 25061 a composite number? True Is 2333 prime? True Is 13549 prime? False Is 8497 prime? False Is 4078 a prime number? False Is 15859 a prime number? True Is 31091 a prime number? True Is 1491449 a composite number? False Is 15727 prime? True Is 37535 prime? False Is 619499 a composite number? True Is 334363 prime? True Is 10299 prime? False Is 679 a prime number? False Is 53731 a composite number? False Is 904369 a prime number? True Is 51257 a prime number? True Is 14123 composite? True Is 3077 composite? True Is 22471 a composite number? True Is 15373 a composite number? False Is 554711 a composite number? False Is 3599 a prime number? False Is 3509221 a prime number? True Is 254647 composite? False Is 3989 composite? False Is 43933 a composite number? False Is 14963 prime? False Is 13017 a prime number? False Is 18191 prime? True Is 1814657 a composite number? True Is 8741 composite? False Is 48937 prime? False Is 1887917 a composite number? False Is 378313 a composite number? True Is 450611 composite? True Is 30763 composite? False Is 6547 prime? True Is 214301 composite? True Is 601541 composite? False Is 31399 prime? False Is 117877 a composite number? False Is 58649 prime? False Is 41326 a composite number? True Is 281621 a prime number? True Is 1207 composite? True Is 2051 a prime number? False Is 78382 composite? True Is 907087 composite? True Is 3299 a prime number? True Is 23601 composite? True Is 23803 composite? True Is 3127 a composite number? True Is 371027 a prime number? True Is 19373 prime? True Is 456017 a prime number? False Is 444595 composite? True Is 304897 prime? True Is 4265 a prime number? False Is 21587 prime? True Is 5263 a prime number? False Is 324223 composite? False Is 839 composite? False Is 33622 prime? False Is 26651 a composite number? True Is 892421 composite? False Is 3317 prime? False Is 41677 a prime number? False Is 34583 composite? False Is 431491 prime? False Is 136501 prime? True Is 6607 a prime number? True Is 2411 a composite number? False Is 867571 a composite number? False Is 8923 prime? True Is 124715 composite? True Is 159 a composite number? True Is 6247 a prime number? True Is 1131785 a composite number? True Is 1783 a prime number? True Is 23719 a prime number? True Is 14507 a prime number? False Is 571237 a composite number? True Is 7613 composite? True Is 25561 composite? False Is 3337 a composite number? True Is 46051 a prime number? True Is 196519 composite? False Is 2948839 prime? True Is 28277 composite? False Is 793129 a composite number? False Is 8059 a prime number? True Is 33707 a prime number? False Is 147739 prime? True Is 148513 a composite number? False Is 56849 composite? True Is 14419 a prime number? True Is 10973 a composite number? False Is 6614 a composite number? True Is 1531 a composite number? False Is 397571 composite? True Is 366683 a composite number? False Is 24443 a composite number? False Is 52489 a prime number? True Is 476443 a prime number? False Is 402431 a prime number? False Is 94969 a prime number? False Is 4851869 a composite number? True Is 3631 composite? False Is 10607 a prime number? True Is 79621 composite? False Is 1430101 prime? False Is 373579 a prime number? False Is 608935 prime? False Is 87479 a composite number? True Is 2777 a composite number? False Is 66161 composite? False Is 130943 prime? False Is 2484565 prime? False Is 14743 composite? True Is 2521 prime? True Is 301879 a composite number? True Is 654639 a prime number? False Is 85661 a prime number? True Is 182027 prime? True Is 7841 a prime number? True Is 6599 a prime number? True Is 42533 a composite number? False Is 92893 a prime number? True Is 22497 composite? True Is 655897 a composite number? True Is 12787 prime? False Is 391789 a prime number? True Is 624499 a composite number? True Is 1388743 prime? True Is 75093 a composite number? True Is 11797 prime? False Is 17657 prime? True Is 381419 a composite number? False Is 59227 a composite number? True Is 4861 a prime number? True Is 9565 a prime number? False Is 20897 a prime number? True Is 83831 composite? True Is 132477 prime? False Is 20077 a composite number? True Is 14349 composite? True Is 8593 a prime number? False Is 162751 prime? True Is 310861 a composite number? False Is 2824259 composite? False Is 18517 a composite
{ "pile_set_name": "DM Mathematics" }
: 7, l: 2, e: 2}. 2/55 What is prob of sequence kvp when three letters picked without replacement from dppkptvwvkkt? 3/220 Three letters picked without replacement from gmgzgmm. Give prob of sequence mgm. 3/35 What is prob of sequence kxk when three letters picked without replacement from vmkkokkmmommxxmoxm? 1/136 Two letters picked without replacement from dgggyyj. Give prob of sequence gy. 1/7 Three letters picked without replacement from inslfsb. What is prob of sequence sni? 1/105 Four letters picked without replacement from {x: 3, e: 2, s: 5, i: 2}. Give prob of sequence xixe. 1/495 Three letters picked without replacement from {c: 13, o: 6}. What is prob of sequence cco? 52/323 Three letters picked without replacement from {u: 7, q: 4}. What is prob of sequence quq? 14/165 Calculate prob of sequence ccd when three letters picked without replacement from {d: 3, c: 3, l: 9, q: 1, j: 2}. 1/272 Three letters picked without replacement from ppzpzpppppppzp. What is prob of sequence zpz? 11/364 Four letters picked without replacement from qhqqhhqqqhq. What is prob of sequence qqhh? 7/110 Two letters picked without replacement from {k: 2, c: 1, q: 4, b: 1, e: 2}. Give prob of sequence qk. 4/45 What is prob of sequence tnoh when four letters picked without replacement from {t: 1, p: 1, i: 1, h: 3, o: 2, n: 8}? 1/910 What is prob of sequence ppp when three letters picked without replacement from jpbyjrrbbvjbbpbbp? 1/680 Calculate prob of sequence yyc when three letters picked without replacement from {c: 3, y: 4}. 6/35 Calculate prob of sequence rm when two letters picked without replacement from {b: 1, r: 1, w: 1, m: 2, k: 1, d: 1}. 1/21 Four letters picked without replacement from qqqqqqqqqqqqqqqqqd. What is prob of sequence dqqq? 1/18 What is prob of sequence nm when two letters picked without replacement from {n: 5, m: 8}? 10/39 What is prob of sequence dvwq when four letters picked without replacement from {j: 4, w: 2, l: 4, v: 5, q: 2, d: 2}? 5/11628 What is prob of sequence emm when three letters picked without replacement from ememmmmmmm? 7/45 Three letters picked without replacement from qjjlwqjljwwjqlqjwlqw. Give prob of sequence qjj. 5/228 Calculate prob of sequence kwkd when four letters picked without replacement from wkdkkirkkr. 1/252 What is prob of sequence zcz when three letters picked without replacement from kjvtzkzc? 1/168 Calculate prob of sequence iooi when four letters picked without replacement from {t: 1, o: 5, i: 8, u: 2, h: 1}. 1/51 Three letters picked without replacement from {m: 2, a: 2, v: 2}. Give prob of sequence vam. 1/15 Four letters picked without replacement from {r: 2, x: 4, d: 1, y: 1}. What is prob of sequence xrdy? 1/210 Calculate prob of sequence ge when two letters picked without replacement from {p: 2, g: 3, e: 12}. 9/68 Two letters picked without replacement from nddpqddnq. What is prob of sequence qd? 1/9 Calculate prob of sequence ooht when four letters picked without replacement from {o: 5, t: 4, c: 1, w: 3, j: 1, h: 4}. 2/459 What is prob of sequence gg when two letters picked without replacement from zpgzpnzflppgnpp? 1/105 Two letters picked without replacement from {c: 1, r: 2, j: 1, e: 3}. Give prob of sequence er. 1/7 Calculate prob of sequence gl when two letters picked without replacement from loogdop. 1/42 Calculate prob of sequence ql when two letters picked without replacement from lqqqqqql. 3/14 Three letters picked without replacement from qmnnnqnk. Give prob of sequence nmq. 1/42 What is prob of sequence www when three letters picked without replacement from wwwwww? 1 Four letters picked without replacement from {a: 5, h: 3}. Give prob of sequence hahh. 1/56 Four letters picked without replacement from {q: 1, n: 1, z: 4, w: 2, c: 1}. Give prob of sequence wzzn. 1/126 Four letters picked without replacement from {m: 1, i: 3}. What is prob of sequence imii? 1/4 Three letters picked without replacement from ksayt. Give prob of sequence kta. 1/60 What is prob of sequence xn when two letters picked without replacement from hnbxb? 1/20 What is prob of sequence ddd when three letters picked without replacement from {d: 3, a: 11}? 1/364 Calculate prob of sequence ui when two letters picked without replacement from tkukuulilulllli. 4/105 Three letters picked without replacement from {r: 7, y: 7}. What is prob of sequence yyy? 5/52 What is prob of sequence gg when two letters picked without replacement from aggaag? 1/5 Calculate prob of sequence fft when three letters picked without replacement from dyytffymlfdfyll. 2/455 Calculate prob of sequence izm when three letters picked without replacement from mzmmmmimmzzmemmmizz. 55/2907 What is prob of sequence fh when two letters picked without replacement from iihvfvi? 1/42 Two letters picked without replacement from ctc. Give prob of sequence cc. 1/3 What is prob of sequence rf when two letters picked without replacement from {r: 1, b: 2, f: 2}? 1/10 Calculate prob of sequence xz when two letters picked without replacement from nnnyxzx. 1/21 Calculate prob of sequence repf when four letters picked without replacement from kfrrrfrpfraffeaf. 1/1456 Calculate prob of sequence ddld when four letters picked without replacement from {d: 3, l: 1}. 1/4 Calculate prob of sequence ms when two letters picked without replacement from {m: 2, y: 3, s: 1, o: 2, t: 1, n: 8}. 1/136 Three letters picked without replacement from {r: 2, q: 1, o: 4, s: 6}. What is prob of sequence soo? 6/143 Four letters picked without replacement from qqbtdfb. What is prob of sequence qbtd? 1/210 Two letters picked without replacement from {q: 4, z: 7, j: 5}. Give prob of sequence zq. 7/60 Three letters picked without replacement from {w: 2, f: 4, g: 6, o: 3}. Give prob of sequence ofg. 12/455 Calculate prob of sequence bkg when three letters picked without replacement from kbg. 1/6 Two letters picked without replacement from {l: 7, t: 2, s: 5}. What is prob of sequence tl? 1/13 Three letters picked without replacement from zlzzzzlzzzzzlzzzzzlz. Give prob of sequence zzl. 8/57 Two letters picked without replacement from {b: 2, p: 4}. Give prob of sequence bp. 4/15 Two letters picked without replacement from {i: 1, k: 2}. Give prob of sequence kk. 1/3 Calculate prob of sequence kvgg when four letters picked without replacement from {e: 1, k: 5, g: 2, q: 3, v: 1, z: 1}. 1/1716 Four letters picked without replacement from hyhmiffzz. What is prob of sequence fzzi? 1/756 What is prob of sequence eeo when three letters picked without replacement from {o: 1, e: 2}? 1/3 Calculate prob of sequence tt when two letters picked without replacement from rtrfrrbrrrft. 1/66 Four letters picked without replacement from jjpjjpjjjjjzpjppj. What is prob of sequence jzpj? 55/5712 Calculate prob of sequence co when two letters picked without replacement from ogooochhojghohhcjg. 2/51 Three letters picked without replacement from {j: 1, h: 2, i: 6, w: 2, o: 4}. Give prob of sequence oij. 4/455 Three letters picked without replacement from eeeeeeeeeeneneeeeee. What is prob of sequence nen? 1/171 Calculate prob of sequence ww when two letters picked without replacement from {e: 6, w: 3, i: 8}. 3/136 Two letters picked without replacement from fffufu. What is prob of sequence uf? 4/15 Calculate prob of sequence la when two letters picked without replacement from {a: 2, l: 1, j: 1}. 1/6 Calculate prob of sequence jjdu when four letters picked without replacement from {j: 7, d: 1, u: 1}. 1/72 What is prob of sequence mym when three letters picked without replacement from ymmyyymyyyymyymmymy? 28/323 Calculate prob of sequence sse when three letters picked without replacement from {w: 3, e: 13, s: 2}. 13/2448 Three letters picked without replacement from {n: 4, u: 2, r: 2, a: 2}. Give prob of sequence una. 1/45 Four letters picked without replacement from ggowgwowoj. Give prob of sequence wwgw. 1/280 What is prob of sequence nnbb when four letters picked without replacement from {n: 2, b: 8}? 1/45 Calculate prob of sequence rn when two letters picked without replacement from rfffrnu. 1/21 Calculate prob of sequence miim when four letters picked without replacement from mydddci. 0 Four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
.16. 4374320.84 What is the difference between 4 and -2103653.26? 2103657.26 Calculate -58477003 + -0.07. -58477003.07 -1.8971 + -4235.14 -4237.0371 Add together 0.2 and -128395451. -128395450.8 -0.2 - -105636544 105636543.8 -620958.1426 - 0.03 -620958.1726 Work out -316376 + 242. -316134 What is the difference between -19.87015 and 0.14888? 20.01903 Subtract 0.0058 from -1409. -1409.0058 What is the distance between 26.401 and -0.3600762? 26.7610762 Total of -28 and -0.401946. -28.401946 Subtract 346109.5 from -29. -346138.5 Add -17448677606 and 0.3. -17448677605.7 Calculate 258.62 + 4.11. 262.73 Total of 3959 and 18.36. 3977.36 Add together 1762819305 and -0.4. 1762819304.6 428398286+24 428398310 Work out -0.7 + 102623040. 102623039.3 What is -5813197 less than -0.0574? 5813196.9426 Calculate 8436628583 + -2. 8436628581 Add 15830275.04 and -9. 15830266.04 What is the difference between -84884 and 0.172369? 84884.172369 Sum -0.662668445 and 0.1. -0.562668445 What is 65063598.1 plus -1? 65063597.1 What is -0.01 minus -10705606667? 10705606666.99 What is 104887 take away -889270? 994157 What is -5 take away 9110620? -9110625 Calculate 0.4 - 13545.64. -13545.24 Work out -2285556523 + 2. -2285556521 What is -73.3 minus 27161972? -27162045.3 Work out -4.8 + 560472. 560467.2 Sum -2 and -9574514784. -9574514786 What is the distance between -38.775 and -290? 251.225 What is the distance between 0.08586433 and -94? 94.08586433 What is -17 minus -69849694? 69849677 What is -48 + 335140376? 335140328 1756531310 + 0.39 1756531310.39 Work out -0.5 - 40522246. -40522246.5 What is 1297640 less than -0.384? -1297640.384 What is -664673 + 5753.7? -658919.3 Calculate 3.07348 - -31. 34.07348 Put together 991657 and 0.6. 991657.6 Add together 2598.88607 and 0.1. 2598.98607 Add 398377 and 52. 398429 Calculate 179652997 - 2. 179652995 Put together -1 and 612822861. 612822860 473 - -23341 23814 What is -13064753 take away 0.12? -13064753.12 1.1 - -19.274171 20.374171 Calculate -776 + -0.12095. -776.12095 Total of 481 and -221397. -220916 -647.03+-151627 -152274.03 Calculate -1.33 - 7252324. -7252325.33 What is -21.1611 less than 12.9? 34.0611 Add together -0.23 and -12389267. -12389267.23 What is 1.02 plus -0.270755? 0.749245 Add 3484627 and -1.93. 3484625.07 What is the difference between -0.4 and -0.211573108145? 0.188426891855 What is 259.40068373 take away -0.1? 259.50068373 What is 4269 plus 175891? 180160 What is the distance between 26233516.3 and -25? 26233541.3 Add 4 and -42125830. -42125826 36370508+4 36370512 What is 5955222070 minus 0.5? 5955222069.5 What is -2040.853195 take away 14? -2054.853195 Add together 0.2 and -30134957. -30134956.8 Add together -251.3 and 5088929. 5088677.7 0.5+-422996403 -422996402.5 What is the difference between 1.115 and -5157? 5158.115 Work out -1693 - 20.6026. -1713.6026 Add 404103616 and -0.2. 404103615.8 What is 0 take away 1007708144? -1007708144 What is -123635.6 - -1921? -121714.6 What is -2808.19 minus 8? -2816.19 What is 0.3 minus 0.2937035285? 0.0062964715 Subtract -11593867823 from -0.2. 11593867822.8 What is 142 less than -36.9997? -178.9997 What is -1102.19 take away 1345.9? -2448.09 What is -11862756 + -2? -11862758 What is 6173.1 plus -301045? -294871.9 Calculate -1989363 - 12034. -2001397 Work out -489433.4 - -0.025. -489433.375 -18.3 + -7578036 -7578054.3 Work out -703379 + 984. -702395 -660+0.00546 -659.99454 Work out -2.33 - -70.74905. 68.41905 What is 0.059153 take away 2? -1.940847 Put together 0.466 and 531536.07. 531536.536 What is the distance between 2 and -2611829272? 2611829274 Put together 8155607 and -0.03861. 8155606.96139 Work out -84 + 4695855. 4695771 Work out -1139097577 + -2. -1139097579 What is -1.33859 plus -58055? -58056.33859 What is the distance between -32 and 272.4166? 304.4166 What is -1685 plus 5386? 3701 What is 814.12875 plus 15? 829.12875 What is 184.781097 - 0.18? 184.601097 Subtract -1511.264304 from -0.2. 1511.064304 What is 1.43 take away 268141? -268139.57 What is -5220844 minus -1? -5220843 Add -1575935712 and 6. -1575935706 -254+-2111732 -2111986 Add together -2561122 and 57. -2561065 Add together -0.336789818 and 3. 2.663210182 Calculate -0.2 - 196308.823. -196309.023 Calculate -13.6082 + -35581. -35594.6082 Total of 0.22101 and -133888. -133887.77899 Total of -0.114 and 934814. 934813.886 Add together 41.9321 and 3.99. 45.9221 Add 172636 and -0.35. 172635.65 Put together 5329382 and 0.3. 5329382.3 -0.04 - 4348353 -4348353.04 What is the difference between -5 and 2754183? 2754188 Add 1656.33737 and 17. 1673.33737 What is the difference between 1.2 and 8021.04? 8019.84 Add together 0.49 and -543801. -543800.51 Total of -14308790 and -0.1. -14308790.1 1+1995571.7 1995572.7 Calculate -86.372 + 3.69. -82.682 Sum 40349378 and -4. 40349374 Put together -1 and 4795622.71. 4795621.71 Sum -0.0891848401 and 0.5. 0.4108151599 Calculate 6.595 - -1.15252. 7.74752 1.2 + -49762974 -49762972.8 What is -136623 - -14724? -121899 What is -7.67952 take away -1.3? -6.37952 Calculate -19 - -1903.726. 1884.726 -14184+-24248 -38432 What is 476853 - -0.015967? 476853.015967 What is 86619 less than 9.7? -86609.3 Subtract 5 from 1.1090459. -3.8909541 What is the difference between 4292067 and -0.78? 4292067.78 What is the distance between -0.74614 and -56500? 56499.25386 What is 28360446 plus 0.02? 28360446.02 Calculate 11.286 - -5030956. 5030967.286 Calculate 0.15 - 1324.1138. -1323.9638 Sum 17683.93 and 942.4. 18626.33 Put together -21914 and -703. -22617 What is 2 minus -2750713.2? 2750715.2 Subtract -4938 from -0.387753. 4937.612247 What is the distance between 7643 and 4713? 2930 0.632 - 29860 -29859.368 Work out -4567281 + 56. -4567225 Subtract -6038206.4 from -1004. 6037202.4 What is 1337 - -146482.2? 147819.2 -2.645298 - -0.09 -2.555298 Sum -5794868.7 and 1. -5794867.7 What is 0.029 + 0.31532194? 0.34432194 Work out 0.17 - -171997. 171997.17 What is 0.9 take away 536.035? -535.135 Calculate -12795397 - 0.01. -12795397.01 What is 146801 - -1586? 148387 Add -0.1 and -893736.884. -893736.984 What is 134461 + -91.164? 134369.836 What is the difference between -5 and 16813559? 16813564 Add 0.2 and -980317. -980316.8 What is the distance between 865549 and 0.046? 865548.954 What is the difference between 570 and 125469238? 125468668 Calculate 3651066 + -65. 3651001 What is -884494 take away -132.6? -884361.4 Total of 10.98 and 54471832. 54471842.98 What is 9.23 - -24.98? 34.21 Calculate -3.718 - 17.8346. -21.5526 What is the difference between -104 and 194.969? 298.969 Work out 12.36 + 1096918. 1096930.36 -2 - -9432400813 9432400811 Calculate -0.115052 - 14.964. -15.079052 Sum -46 and -63928. -63974 Calculate 0 + -6433.725. -6433.725 Add 143989.8 and 2.395. 143992.195 Total of -10 and -682943550. -682943560 What is 76321 take away -3397? 79718 Add together -851494 and -422.5. -851916.5 Calculate 0.0595 + 0.35937. 0.41887 Work out -211390.9 + 0.007. -211390.893 What is the distance between 1.14073 and 11347.1? 11345.95927 Work out 567694 - 0.1768. 567693.8232 What is the difference between -84 and -3146207? 3146123 Calculate -0.3 - 504025275. -504025275.3 Sum 135 and -57852211. -57852076 Put together -40.06 and -108950. -108990.06 What is 207.5286 take away -0.01363? 207.54223 Add -76599.2 and 0.0012. -76599.1988 Work out 302 - 0.073062. 301.926938 What is -4 + -20756.294? -20760.294 What is the difference between -0.7 and -150895.3? 150894.6 Work out -0.047711495 + 0.0425. -0.005211495 Subtract 270199122 from 0. -270199122 Calculate -1.2 + -33402157. -33402158.2 Add together 12.5096402 and -0.1. 12.4096402 Calculate 0.4499 - -8.98. 9.4299 -4627633662.4+-5 -4627633667.4 -435 + 79146611 79146176 Calculate -1520565 - -6.2. -1520558.8 4.127 - -22512.263 22516.39 0.46+-635340 -635339.54 Work out 4 + 2572305. 2572309 Total of 0.2995048 and 33. 33.2995048 What is the distance between 1.948509 and -18? 19.948509 2.37675+34665 34667.37675 Work out 6.4 + 21939467. 21939473.4 99719 + 8801 108520 Calculate 124521 + 70. 124591 What is 4330.072 take away 9.25? 4320.822 Sum -94.02 and -2011741. -2011835.02 Add together 1304 and -34.483. 1269.517 What is 5 less than 151398.2326? 151393.2326 What is the di
{ "pile_set_name": "DM Mathematics" }
lest value in p, -7, a? a Let h = -4.97 - -1.89. Let i = -2.58 - h. What is the third smallest value in 2/15, 2/3, -0.4, i? i Let v be (-2)/(-7) + (-950)/(-7). Let d = -134 + v. What is the second smallest value in 3, 2/11, -5, d? 2/11 Let f = 12.2 + -11.8. Suppose -20 = 5*u + 4*a, 35*u - 38*u = -5*a + 12. Suppose 8*s - 9*s + 7 = 0. What is the third smallest value in u, s, f? s Suppose -38*f + 71*f - 99 = 0. Which is the smallest value? (a) 1/3 (b) f (c) 1036 a Let m = 513 + -512.7985. Let k = 0.0015 - m. Suppose -5*l + 8*l = -9. Which is the third smallest value? (a) k (b) l (c) -5 a Let n = -0.445 - 0.055. Let k = 159 + -60. Let b be 2/6 - k/(-27). What is the second smallest value in b, -3/2, n, -0.06? n Suppose -28 + 28 = -5*t. Suppose 5*w - 13 = -4*o + 4, t = -2*w - 2*o + 8. Which is the second biggest value? (a) -2 (b) -0.1 (c) w b Let u = -0.09 + -0.41. Let t = -0.07297 + 1.07297. Which is the second smallest value? (a) u (b) -0.4 (c) t b Let p = 6843.1 - 6844. Which is the third biggest value? (a) p (b) 1/4 (c) -0.5 (d) 5 (e) -5/2 c Suppose 4*h - 30 = -2*m, 2*m = -0*m + 2*h + 24. Suppose -23*i + m*i = -2190. Let s = i + -2403/11. Which is the biggest value? (a) 0.4 (b) s (c) -5 b Let d(v) = -2*v**2 - 42*v - 23. Let j(w) = w + 2. Let x(o) = -d(o) - 5*j(o). Let i be x(-18). Which is the biggest value? (a) 53 (b) 3 (c) i a Let l = -2994 - -2985. Which is the biggest value? (a) -1 (b) 2 (c) 172 (d) l c Let l be (-2048)/768*9/20. What is the smallest value in 0, -1/4, -0.01, l? l Let p be (7536/(-41))/8 - -23. Which is the second smallest value? (a) 2 (b) -0.08 (c) p c Let o = -18540 + 18296. Which is the biggest value? (a) 0.4 (b) o (c) 2/3 (d) -0.5 c Suppose 0 = 4*t + 15 + 9. Let a = -3 - t. Let h = 318259.1 - 318259. What is the second biggest value in h, 2.6, -0.4, a? 2.6 Let f = 3072 - 3071.99. Let i be 6/15 - (-6)/(-20). What is the fourth biggest value in f, 1, i, -1? -1 Let z = -1093 + 318. Let n be ((-4)/10)/(186/z). Which is the fourth biggest value? (a) -1 (b) n (c) 30 (d) 0.1 a Let r(y) = -y**2 - 5*y + 3. Let g be r(0). Suppose -7 = 2*n - g*s, n + 7 = 2*s + 4. Which is the third biggest value? (a) -4 (b) 3/5 (c) 1/3 (d) n a Let x = -0.4704 - -0.4704. Let r = 8 + -13. What is the smallest value in x, -3/8, r? r Let u = 35 - 37. Let w = 0.2 - 0. Let o = -0.3781 + -0.0219. Which is the third biggest value? (a) 6/11 (b) w (c) o (d) u c Let f = -19222 + 19221. Which is the biggest value? (a) 2/349 (b) 3/26 (c) f b Suppose -2 = 4*o - 10. Let t = 3373 - 3378.6. What is the third biggest value in -0.2, o, t? t Let s = -267 + 271. Suppose 5*n = 5*z - z + 41, 0 = -2*z - 3*n - 15. Let r be 12/z - 4/(-4). Which is the second smallest value? (a) -25 (b) s (c) r c Let m = 283 + -278. Let w be m + (-184)/18 + 5. What is the third smallest value in w, -118, 0.1? 0.1 Let t = 26456 - 26449. What is the second smallest value in t, -16, 2, 3? 2 Let w = 2797/20 + -577/4. Which is the third smallest value? (a) -4 (b) w (c) 4 c Let y = 2939 - 2934. Which is the fourth biggest value? (a) -0.2 (b) 0.1 (c) -1/95 (d) y a Let k = 4.12 - 0.12. Let t = 101 - 28. Let g = 368/5 - t. What is the smallest value in g, -5, k? -5 Suppose -4*l = -2*d + 3*d - 12, l - 3*d + 10 = 0. Let p be (11/121)/(l - 3/2). Which is the third biggest value? (a) p (b) -4 (c) 0.32 b Suppose 3*h = -5*h + 48. Let i be (0/(h + -4))/(-1 - -2). What is the smallest value in -0.9, 3/2, i? -0.9 Let v(q) = 1738*q - 8. Let k be v(2). Suppose k = -13*z + 16*z. Let x = z + -86698/75. Which is the second biggest value? (a) x (b) -1/4 (c) 2 (d) -0.5 a Let n be (-4)/1 - (1 + -2)*-10. Let j(f) = -f**2 - 13*f + 14. Let w be j(n). Let i = 123 - 121. Which is the biggest value? (a) -0.7 (b) w (c) i c Let c = 2258 - 2262. What is the third smallest value in c, -2, -0.01, -6/7? -6/7 Let a = 1646 + -887. Let i = a + -787. What is the smallest value in 0.4, 2/3, -2/13, i? i Let m be (-132)/96 - -17 - 16. Which is the biggest value? (a) 2/51 (b) -1/3 (c) -0.7 (d) m (e) 2 e Suppose 5*t = w - 6, 0*w + 22 = -5*w - t. Let k = w + 14. Let p be (-20)/(-100) + (-52)/k. What is the third smallest value in -1, p, -0.4? -0.4 Let i = -2926 - -2926.055. What is the fifth smallest value in 2/17, 5, i, -2, -1? 5 Let l = 2.2 + -2. Let h = -6756 + 6752. Which is the fourth biggest value? (a) l (b) -2 (c) -3/4 (d) h d Let s be (-200)/544 - (-9)/((-1377)/(-18)). Let q = 15 - 18. Which is the fourth biggest value? (a) s (b) 1.4 (c) 2 (d) q d Let x = 43 - 44. Let h = -0.0025 + -0.3975. What is the second smallest value in h, x, -5, 1? x Suppose 0 = 71*c - 318 + 187 - 153. Let h = 6 + 5. What is the second smallest value in c, -1, h? c Let p be (-2020)/(-120) + -16 + (0 - 1). Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) p (d) -13 c Let d = -18.8 - 22.4. Let g = -41 - d. Let y = -282 + 285. Which is the second biggest value? (a) 0.002 (b) y (c) g c Let s be (1816/(-96) - -16)*(-16)/10 - 4. Let j = -11 - 5. What is the fourth biggest value in j, 4, s, -2? j Let o = 0.03 + 1.97. Let d = 66.7 - 65. What is the third smallest value in -3/5, d, o? o Let z be 152/((-630)/(-156) + -4). Suppose 17*s = -9*s - z. What is the biggest value in s, 2/9, 4? 4 Let y = 1.3641 - 0.9641. What is the fourth smallest value in y, 0.1, -4/455, -0.5? y Let o(g) = 35*g + 110. Let f be o(-1). Which is the biggest value? (a) -2/11 (b) f (c) 1 b Let m = 75 + -170. Let v = m + 1141/12. What is the third biggest value in v, -5, -1? -5 Let o = -42525 + 85051/2. What is the third smallest value in -2/3, o, -3, -1, 91? -2/3 Let a = -0.11 - -0.1. Let k = -515.91 + 517.91. What is the second smallest value in a, k, 0, 2/13? 0 Let p = 0.228832 + 0.071168. Suppose -4*l + 4*b = l - 60, 4*l - 5*b = 57. What is the biggest value in p, -0.5, 0.5, l? l Let p = 643.7 - 81.7. Let z = p - 562.5. Which is the smallest value? (a) z (b) 3 (c) 13/6 a Let r be (465/2790)/(1/(-2)*-1). Let n = 279/2 + -137. What is the fourth biggest value in r, -5, n, 0.28? -5 Let u = -7325 - -21974/3. What is the third smallest value in u, 0, -1/12, 0.0134? 0 Let m be (-12 + 8)*(-2)/16. Let p = -0.003 - 2.997. What is the second smallest value in p, m, 4? m Let k = -35.01 - -34.81. What is the fourth biggest value in 34, k, 4, -4, 0.1? k Let g be 494/(-9139) - (-356)/1110. What is the third smallest value in 5, g, 1? 5 Suppose 0 = 5*f + 4*y - 1, -2*y = 5*f - 6*f - 11. Let c be (1 + 0)*f/1. Let t = 63 + -62.2. What is the second biggest value in 1/6, c, t? 1/6 Let m = -10717.6 - -10718. Let s = 36 + -35.44. Let u = 30.44 + s. Which is the smallest value? (a) 4 (b) u (c) m c Let c be (-33)/7 - 4/14. Let w = -3 + 3.2. Let f = -17.9439 - -18.4439. What is the third smallest value in f, 0.3, c, w? 0.3 Let f = 0.0393 + 223.0607. Let x = f + -223. Which is the third smallest value? (a) x (b) 3 (c) 0.16 b Let f = 43.939 - 44. Let x = -31.061 - f. Let u = 4.3465 + -6.3465. Which is the third biggest value? (a) x (b) -0.4 (c) u a Let t = -1619.089 - -1619. Let o = 0.451 + -0.8. Let n = o - t. Which is the biggest value? (a) -0.4 (b) 5 (c) n b Let z = 104.79 - -0.21. Let s = -105.1 + z. What is the biggest value in -4, 2/11, s? 2/11 Let f = -3769 - -3774. What is the second biggest value in 3/19, -2/7, 16, 1, f? f Let i = -33 + 33. Suppose -3*h - 21 = 4*w + 47, 5*h - w + 75 = i. Let r be 5/(-2) - (-8)/h. Which is the second biggest value? (a) r (b) 0.7 (c) -2 c Let t = -6.59 - -6.51. Let x be 32/(-48) + (-10)/(-6). Which is the third smallest value? (a) 0.3 (b) x (c) t (d) 2/5 d Let n = 0.0275 - -0.1725. What is the third biggest value in 57, 2, 5, n? 2 Let j = 1081 + -1085. What is the fifth smallest value in 2/9, j, -1/3, -0.209, -3/7? 2/9 Let m = 1098526 - 31853084/29. Let k = -144 + m. Let l = -59/145 - k. What is the third smallest value in 1/4, l, 0, 2/29? 2/29 Let w = 2.8496 + -0.8496. What is the biggest value in 1445, w, 5? 1445 Let f be (7 - 17)/20*(-2)/7. Let p = -11 - -11.3. Let j = 88 - 91. What is the second smallest value in f, 1/4, p, j? f Let n = -177/5 - -35. Let v = 190 - 197. Let q be 12/(-36) + v/(-12). Which is the fourth biggest value? (a) n (b) 4
{ "pile_set_name": "DM Mathematics" }
g - 4*a - 20, -o*g + 2*a = g - 46. Is g a multiple of 9? True Let k(t) = -29*t - 7. Is k(-4) a multiple of 7? False Let n(i) = -5*i - 37. Let o(q) = -12*q - 69. Let k(d) = -6*d - 34. Let g(l) = -7*k(l) + 4*o(l). Let u(w) = 6*g(w) - 7*n(w). Does 13 divide u(0)? False Let a be 1/(-2) + (-11)/2. Is (-86)/(-6) + (-4)/a a multiple of 5? True Suppose 0 = a - 14 - 98. Does 36 divide a? False Suppose -4*i + 12 = -i. Suppose i*v = 3*x - 4*x - 4, -16 = -3*v + 4*x. Let b = 30 + v. Is b a multiple of 15? True Let k = -26 - -12. Does 17 divide (k/4)/((-1)/18)? False Suppose -63 + 18 = -3*b. Let t = b - 11. Suppose t*r - 10 - 66 = 0. Is r a multiple of 10? False Suppose 4*g - 5*g + 40 = 0. Suppose 0*q - 2*q = -g. Is q a multiple of 20? True Let x = -1 - -37. Is 36 a factor of x? True Suppose 4*l = 2 + 6. Is l even? True Let p = 5 + -5. Suppose p*g + 4 = 2*g. Suppose -20 = g*s + 2*s, -2*v = 2*s - 40. Does 9 divide v? False Let z(f) = -10*f - 9. Is z(-5) a multiple of 14? False Let y(n) = -3*n - 14. Let k(p) = -2*p - 9. Let s(t) = 7*k(t) - 5*y(t). Let a be s(-5). Suppose 3*q - w = 92, 2*q + 2 = -a*w + 74. Does 16 divide q? True Suppose 0 = 3*u - 6, -a - 58 = -5*a + u. Is a a multiple of 15? True Suppose -5*b + 21 = -99. Suppose 2*s = b + 28. Is s a multiple of 9? False Let n = 152 - 72. Suppose 37 = 2*h - v, 5*h - 2*v - 85 = -7*v. Is 13 a factor of (-6)/h + n/6? True Suppose -v + 14 = 3. Does 2 divide v? False Suppose 0*c = -c + 3. Suppose 5*s - c*u = 54, 4*s + 0*u - 46 = u. Does 12 divide s? True Let f(h) = -h**3 + 2*h**2 - 2*h - 6. Is f(-4) a multiple of 14? True Suppose 0*w - 2*p - 20 = 2*w, 5*p = 2*w - 15. Does 8 divide (-6)/(-10) - 62/w? False Let z = -7 + 30. Is 21 a factor of z? False Let z = 26 - 5. Let f = z + 3. Is 15 a factor of f? False Let x(l) = l**2 + 4*l + 2. Is x(4) a multiple of 17? True Let c(b) = b + 7. Let l be c(-9). Does 7 divide (4 + l)*(-28)/(-8)? True Let w be (1 - -68)*(-2)/(-3). Suppose 4*s + 0*s = 12, 5*s - w = -k. Suppose -4*d - 36 = -3*n + k, 20 = -5*d. Is n a multiple of 8? False Let j be -9*(-5)/(-6)*2. Is 4 a factor of ((-6)/j)/((-1)/(-15))? False Let s be 4/10 - 2554/10. Let k = s - -449. Is 15 a factor of (-1)/4 + k/8? False Let u(q) = -1 + q + 0*q**2 + 1 + 4 + q**2. Does 3 divide u(0)? False Let c(s) = 157*s**3 + 2*s - 1. Does 39 divide c(1)? False Let f(z) be the second derivative of -z**3/6 - z**2/2 - z. Let l be f(1). Is 3 a factor of (0 + 2)*(-7)/l? False Let j(r) = r**3 + 9*r**2 - 2*r. Is 9 a factor of j(-9)? True Is 19 a factor of (-150)/5*190/(-15)? True Let b(f) = 2*f**2 - 2*f - 1. Let a be b(2). Let t = a - 2. Let q = 1 + t. Is q even? True Let f be (-2)/7 + (-788)/(-14). Suppose -100 = -4*s + f. Is s a multiple of 13? True Let k(t) = -t - t**3 + 0*t**2 + 4*t**2 - 5*t**2 + 0*t**2 + 18. Is 7 a factor of k(0)? False Let d = -1 - 4. Is 17 a factor of (d*4)/(4/(-6))? False Does 2 divide 4/((-4)/3)*-1? False Let k = -2 + 14. Suppose k = a + 3*a. Is a a multiple of 2? False Let y = 26 + -24. Suppose -o - 2*q + 34 = 3*o, -2*q = -2*o + y. Does 6 divide o? True Does 22 divide -2*((8 - 3) + -16)? True Let x(d) = d - 3. Let c be x(2). Suppose 2*r - 86 = -4*s, 26 = 3*s - 4*r - 11. Is (-2 - -2 - s)*c a multiple of 9? False Suppose -26 = 4*f - 378. Suppose -m - 2*j + 26 - 7 = 0, -f = -4*m + 4*j. Is (-6)/m - 156/(-7) a multiple of 11? True Let y(t) = t**3 - 6*t**2 + t - 3. Let u be y(6). Let v = -2 + u. Let j(d) = 15*d**3 + d. Is 15 a factor of j(v)? False Suppose 0 = 4*i - 1 - 15. Suppose -119 - 293 = -i*v. Is 30 a factor of v? False Suppose -b = -5*m + 2*b + 375, -4*m + 2*b = -302. Is m a multiple of 26? True Let b = 171 - 105. Is 15 a factor of b? False Suppose 4592 = 21*p - 112. Is 23 a factor of p? False Let s = -14 - -71. Is s a multiple of 6? False Let z(s) = -s + 4. Let i be z(8). Let l(y) = -2*y**2 - y - 4. Let u be l(i). Is 10 a factor of (0 - -2)/((-4)/u)? False Let w(t) = -3*t + 5. Suppose 0 = -4*h + 34 - 2. Suppose 0 = -k - 2*k + 2*z - h, 2*z + 20 = -4*k. Is 13 a factor of w(k)? False Let k = -102 - -147. Let m be 1/4 + (-7)/(-4). Suppose 0 = -3*i - m*i + k. Is 9 a factor of i? True Suppose k = 4*k - 6. Suppose -u + k + 2 = 0. Suppose -5*f + 2*j = -36, 40 = -4*f + 8*f + u*j. Is 8 a factor of f? True Suppose -z + 6 = k - 0*z, 3*z - 9 = 0. Suppose -65 = -8*a + k*a. Is 4 a factor of a? False Is (15/6 + -3)*-158 a multiple of 12? False Suppose -1 = -4*f + 27. Suppose -4*r + f = -9. Is r even? True Let r = -3 - 0. Does 3 divide (1/(-2))/(r/36)? True Suppose 0 = -7*i + 2*i + 25. Suppose 0 = i*u - 10 - 0. Suppose -1 = v + u*m, -3*v + 37 = 2*v - 4*m. Does 2 divide v? False Suppose 0 = 8*f - 4*f + 68. Let p = 27 + f. Does 7 divide p? False Let c(p) = -6*p + 10. Does 14 divide c(-6)? False Suppose d - j = -2, -5*d + 0*j + j = -6. Does 8 divide 42 + -1 + (-1 - d)? False Let u(q) = q**3 + 4*q**2 - 6*q + 6. Let c be u(-5). Suppose -5*l + 24 = -c. Does 3 divide l? False Is ((-16)/10)/(11/(-550)) a multiple of 16? True Suppose 0 = 2*y - 1 - 3. Suppose -3*q = -0*q + f + 14, 0 = -y*q - 3*f. Is 13 a factor of 78/4*q/(-9)? True Let m(j) = j. Let v(x) = -3*x - 15. Let d be v(-9). Does 3 divide m(d)? True Let g be (1*-3)/(21/(-14)). Let d = 4 - g. Suppose 122 = 5*h + d. Is h a multiple of 11? False Let k = -3 + -9. Let s = k - -20. Is s a multiple of 8? True Suppose 0 = 4*o - 4*y + 16, 4*o + y - 9 = -50. Let b be 6*1*(-2)/(-2). Is (o/b)/((-6)/20) a multiple of 3? False Suppose 2*g + 0*z + 4*z = 52, -100 = -5*g - 4*z. Is g a multiple of 6? False Let b be ((-2)/2 - -1) + 0. Suppose 14*h + 25 = 19*h. Suppose -h*c + 65 = -b*c. Is c a multiple of 9? False Let x = -104 + 45. Let w = -27 - x. Is w a multiple of 8? True Suppose 0 = i + 3*s - 114, -3*i + s = -0*s - 292. Is 6 a factor of i? False Suppose 2*z - 20 = 34. Is 9 a factor of z? True Suppose 5*a + 40 = 145. Is 7 a factor of a? True Let y(d) = 9*d**3 - 2*d**2 - 2*d. Let l be y(2). Let i = -41 + l. Is 7 a factor of i? False Is 21 a factor of 10 + -12 + 1*52? False Suppose -328 = -2*s + 2*j, 4*s + 0*j = j + 659. Is s a multiple of 11? True Let o(r) = r. Let h be o(5). Let u(d) = -d**3 + 6*d**2 + 2*d + 7. Is 16 a factor of u(h)? False Let k(h) be the second derivative of h**6/720 + 3*h**5/40 - h**4/3 + 4*h. Let y(a) be the third derivative of k(a). Is y(7) a multiple of 14? False Let j = 4 + -1. Suppose 4*m - j*m = 38. Is m a multiple of 19? True Suppose 8 + 16 = 4*q. Suppose 4*x - q = 2. Is 19 a factor of 20/15*57/x? True Suppose 4*m + 3*f + f - 836 = 0, m + 5*f = 217. Is m a multiple of 9? True Suppose -3*f = z - 4, -f - 9 + 3 = 4*z. Let j(a) = -a + 2*a + 2*a**2 + 0*a. Does 3 divide j(z)? True Let v = -2 + 11. Let m = v + -6. Suppose -o + 67 = r, 5*r - 2*o = -m*o + 331. Does 24 divide r? False Let v = -2 + 14. Does 7 divide v? False Let m = 98 - 82. Is 7 a factor of m? False Suppose -f + 2 = -2. Let o be 287/3 + (-5)/(-15). Suppose -f*n + o = -0*n. Is 12 a factor of n? True Let c(h) = 29*h**3 + 2*h**2 - h. Let i be c(1). Let v = i + -10. Does 10 divide v? True Let i = 58 - -26. Is 14 a factor of i? True Suppose 0*u + 5*u - 12 = 2*g, u = g + 6. Let p = 7 - g. Is 6 a factor of p? False Let n = 2 + -2. Let g be 3*6 - (2 - n). Let y = g + 2. Is y a multiple of 7? False Let g = 110 - -160. Does 16 divide g? False Let r(n) be the first derivative of -5*n**2/2 + n - 2. Let b be -2 + ((-16)/2)/4. Does 13 divide r(b)? False Let w(c) = -c**3 + 5*c**2 + 6*c - 3. Let u be w(6). Let t = u + 2. Does 4 divide t/1 + 2 + 3? True Suppose 62 = -2*h + 4*h. Is 19 a factor of h? False Is 4 a factor of (-32)/(-1) - 0/(-10)? True Suppose -2 = f - 1. Is 19 a factor of (-1)/f*(38 + 1)? False Suppose 0 = 2*k - 6*k - 92. Let a = k - -34. Is 5 a factor of a? False Suppose 139 = 2*m + 3*q - 12, -5*m + 412 = -4*q. Is m a multiple of 34? False Is 18 a factor of (-321)/(-9) + 1/3? True Let o = -33 - -50. Is 8 a factor of o? False Let g = -1 - -4. Suppose -5*n = 3*r + 3, -2*r - r + 18 = -2*n. Does 7 divide 1 + n*(-17)/g? False Suppose -2*o + 306 = o. Is 7 a factor of o? False Let h(i) = -3*i**3 + 5 + 2*i**3 - 6*i**2 + 0*i**3. Let d be (1 - 10/5) + -5. Does 2 divide h(d)? False Let g = 21 + -15. Let f(w) = -w**3 - 3*w**2 - w + 3. Let l be f(-3). Is 4/l + 20/g a multiple of 2? True Let t(q) = -2 + 0*q**2 - q**2 + 0*q**
{ "pile_set_name": "DM Mathematics" }
of -3/20*i**5 + 5/4*i**4 - 4*i**3 + 27*i + 6*i**2 + 0. What is m in y(m) = 0? 1, 2 Let o(a) be the third derivative of a**3 + 0 + 1/90*a**6 + 1/6*a**4 + 0*a + 9*a**2 + 1/15*a**5. Let z(m) be the first derivative of o(m). What is q in z(q) = 0? -1 Suppose -6*l - 1 = -4*l - h, 4*h = -3*l + 4. Let i(b) = -b**2 + 2*b + 2. Let d be i(l). Factor 0 + 2/5*j - 2/5*j**d. -2*j*(j - 1)/5 Solve -648/7 + 468/7*q + 4/7*q**3 - 80/7*q**2 = 0. 2, 9 Let v be 3/15*(-1)/(12/(-10)). Let p(u) be the second derivative of -6*u - 1/6*u**2 - 1/15*u**5 - v*u**4 + 0 - 2/9*u**3 - 1/90*u**6. Factor p(z). -(z + 1)**4/3 Let m(h) = h**3 + 16*h**2 - 4*h - 62. Let c be m(-16). Let k(w) be the first derivative of 2/27*w**3 - 8/9*w**c + 32/9*w + 3. Factor k(f). 2*(f - 4)**2/9 Let y(a) = 12*a**5 - 21*a**4 + 6*a**3 + 3*a**2. Let l(v) = -11*v**5 + 21*v**4 - 6*v**3 - 4*v**2. Let h(i) = 3*l(i) + 4*y(i). Find c such that h(c) = 0. 0, 2/5, 1 Let b be (-52)/(-208) - (3/20)/3. Let w(m) be the first derivative of 1/10*m**2 + 1/15*m**3 - 1/20*m**4 + 5 - b*m. What is h in w(h) = 0? -1, 1 Suppose 10*k + 2*k + 19*k**2 - 10*k**5 - 79*k**2 + 6*k**4 - 11*k**5 + 63*k**3 = 0. What is k? -2, 0, 2/7, 1 Let r(k) be the first derivative of k**4/12 - 61*k**3/9 - 223. What is t in r(t) = 0? 0, 61 Let c(l) = 122*l**2 - 40*l - 42. Let v(r) = 146*r**2 - 40*r - 42. Let k(d) = 6*c(d) - 5*v(d). Solve k(y) = 0 for y. -1, 21 Let f(z) be the first derivative of -15 - 55/4*z**2 + 10/3*z**3 - 15/2*z. Factor f(p). 5*(p - 3)*(4*p + 1)/2 Let z = 333 - 995/3. Find p such that 4/3 - z*p**2 + 2/3*p - 2/3*p**3 = 0. -2, -1, 1 Let l(m) be the first derivative of -2*m - m**4 - 4*m**2 + 6 - 10/3*m**3. Factor l(c). -2*(c + 1)**2*(2*c + 1) Let y(f) = f**3 + 15*f**2 - 15*f + 18. Let u be y(-16). Suppose 3*r + 14 = 2*g, 0*g + u = -2*g - 5*r. Factor 0*v**2 + 12 - 2*v - 8*v**2 + 6*v - g*v**3 - 4*v**2. -4*(v - 1)*(v + 1)*(v + 3) Suppose -48*l**2 - 403*l**3 + 16*l**4 - 2 + 415*l**3 - 68*l - 19 - 3 = 0. What is l? -1, -3/4, 2 Let o(l) = -l - 1. Let h be o(-2). Suppose 3*f + h - 337 = -5*y, 4*y - 3*f = 258. Determine s, given that -3*s**2 + 45*s - y + 18 - 21*s = 0. 4 Determine i so that 16/3 + 53/3*i**2 + 16*i + 2*i**4 + 1/6*i**5 + 53/6*i**3 = 0. -4, -2, -1 Let a(c) be the third derivative of -c**6/90 - c**5/15 - c**4/6 - 4*c**3/3 + 18*c**2. Let y(w) be the first derivative of a(w). Solve y(z) = 0 for z. -1 Let x(a) be the second derivative of -9/10*a**5 + 2/5*a**6 + 0*a**2 + 25*a - 15/16*a**4 + 0 - 1/4*a**3. Factor x(n). 3*n*(n - 2)*(4*n + 1)**2/4 Determine k, given that -8/3 + 2/9*k**3 - 2/9*k + 8/3*k**2 = 0. -12, -1, 1 Let t(i) be the second derivative of i**4/4 - 5*i**3/2 + 9*i**2 - 7*i - 5. Suppose t(a) = 0. What is a? 2, 3 Factor o**2 + 0*o + 6/5*o**4 + 0 - 31/5*o**3. o**2*(o - 5)*(6*o - 1)/5 Let k(z) be the third derivative of z**6/40 - 67*z**5/60 + 11*z**4/12 + 70*z**2. Let k(h) = 0. Calculate h. 0, 1/3, 22 Determine k so that 2*k**2 - 11*k**4 + 46*k**5 + 14*k**4 - 47*k**5 - 5*k**3 + k**4 = 0. 0, 1, 2 Let u(k) = 26*k**3 - k**2 + 2*k - 1. Let n be u(1). Find j, given that 8*j - 24 - 6*j + n*j + 12*j**2 = 0. -3, 2/3 Let a be 15/(-20) - (2/6 - 12927/7812). Determine r, given that -a*r**2 - 20/7*r - 24/7 = 0. -3, -2 Let a = 49 + -57. Let q(m) = 12*m**2 + 128*m + 300. Let k(f) = -4*f**2 - 43*f - 100. Let c(h) = a*k(h) - 3*q(h). Factor c(j). -4*(j + 5)**2 Let f(u) be the third derivative of -1/30*u**5 + 0*u + 1/72*u**6 - 1/18*u**4 - 22*u**2 - 1/630*u**7 + 0 + 4/9*u**3. Suppose f(t) = 0. Calculate t. -1, 2 Let y = -826/5 - -166. Factor -4/5*w - y*w**3 + 1/5 + 6/5*w**2 + 1/5*w**4. (w - 1)**4/5 Let p(b) = b**3 + b**2 - b + 1. Let y(m) = -5*m**4 - 105*m**3 - 335*m**2 - 115*m + 520. Let o(r) = 20*p(r) + y(r). Factor o(n). -5*(n - 1)*(n + 3)**2*(n + 12) Let d(k) be the first derivative of -2*k**3/3 + 21*k**2 - 40*k + 299. Solve d(z) = 0 for z. 1, 20 Suppose -5*n + 4*n + 4 = 0. Let f(x) be the first derivative of x**2 + 7*x + n + 5*x + x**3 - x**2 - 6*x**2. Find t, given that f(t) = 0. 2 Let r = -85 - -127. Let n be (-92)/(-126) - ((-114)/r + 3). Factor 2/9*o**2 + 0 - n*o. 2*o*(o - 2)/9 Let f(x) be the third derivative of x**9/211680 + x**8/17640 + 19*x**5/30 + 5*x**2. Let b(c) be the third derivative of f(c). Let b(j) = 0. Calculate j. -4, 0 Let b(n) be the third derivative of n**11/365904 + n**10/69300 + n**9/83160 - 8*n**5/15 + 32*n**2. Let c(r) be the third derivative of b(r). Factor c(t). 2*t**3*(t + 2)*(5*t + 2)/11 Let i(d) be the third derivative of 19*d**5/150 - 7*d**4/10 + 8*d**3/15 - 595*d**2. Factor i(v). 2*(v - 2)*(19*v - 4)/5 Let q be 204 + (-1)/(3/(-6)). Factor 8*r**3 + 0*r**3 + 2*r**5 + q - 210 + 8*r**4 - 10*r - 4*r**2. 2*(r - 1)*(r + 1)**3*(r + 2) Let x(m) be the second derivative of m**6/240 - m**5/120 - 3*m**2/2 - 9*m. Let q(f) be the first derivative of x(f). Factor q(v). v**2*(v - 1)/2 Factor -1/5*o**3 + 213/5*o**2 - 15123/5*o + 357911/5. -(o - 71)**3/5 Let y(v) be the first derivative of 1/6*v**6 - 11 + 0*v + 0*v**4 + 2/5*v**5 - 2/3*v**3 - 1/2*v**2. Factor y(a). a*(a - 1)*(a + 1)**3 Let s be -12 - -18 - (2 - -4). Let c(y) be the second derivative of 2/3*y**3 + 1/12*y**4 + 2*y**2 - y + s. Solve c(a) = 0 for a. -2 Find x such that 3/2*x - 3/8*x**3 + 0*x**2 + 0 = 0. -2, 0, 2 Let n(i) be the second derivative of -i**9/3024 + i**8/1344 + i**7/252 - i**4/3 + 4*i**2 - 34*i. Let g(p) be the third derivative of n(p). Factor g(k). -5*k**2*(k - 2)*(k + 1) Let d(p) = 2*p - 18. Let a be d(10). Determine n so that 6*n**2 - 6*n**2 + 2*n**2 - a*n**4 = 0. -1, 0, 1 Let m(b) be the third derivative of b**6/24 + b**5/4 - 5*b**4/24 - 5*b**3/2 - 133*b**2. Let m(u) = 0. Calculate u. -3, -1, 1 Let g be (-15)/((-225)/(-96)) - (-18 + 11). Find f, given that 108/5 - g*f**3 + 39/5*f**2 - 144/5*f = 0. 1, 6 Let a(m) be the first derivative of 1/7*m**6 + 2/35*m**5 + 0*m**3 + 0*m - 2/7*m**4 + 0*m**2 - 26. Factor a(i). 2*i**3*(i - 1)*(3*i + 4)/7 Let t = -13178 - -13182. Solve 105/2*u**3 + 6*u**2 - 9/2*u - 18*u**t + 0 = 0. -1/3, 0, 1/4, 3 Suppose -22 = 3*d + 11. Let n(p) = 361*p - 2 - 350*p + 2 + 25*p**2. Let u(v) = 5*v**2 + 2*v. Let z(i) = d*u(i) + 2*n(i). Factor z(o). -5*o**2 Let j = 263 - 262. Let p be j/(-1 + 114/24). Find f, given that -2/15*f + p*f**2 + 0 - 2/15*f**3 = 0. 0, 1 Let y be (-10)/8*4/(-10). Let 0 - 3*t**2 - y*t**3 - 9/2*t = 0. What is t? -3, 0 Let l(m) be the first derivative of -21 - 2/75*m**3 + 6/25*m - 2/25*m**2. Let l(t) = 0. What is t? -3, 1 Factor -3/2*w - 1/2*w**2 - 1. -(w + 1)*(w + 2)/2 Let r = -323 + 328. Let v(u) be the third derivative of 0 - 4/15*u**r - 1/30*u**6 - 2*u**2 - 4/3*u**3 + 0*u - 5/6*u**4. What is l in v(l) = 0? -2, -1 Let m = -2 - -14. Factor -87*w**3 + 0 + 32*w**2 - 4*w**5 + 111*w**3 + 0 + m*w. -4*w*(w - 3)*(w + 1)**3 Factor 118*d + 1010 + 63*d + 11*d + 2062 + 3*d**2. 3*(d + 32)**2 Let t(v) = v + 1. Let d(g) = -6*g**2 - 571*g - 185. Let j(n) = d(n) - 7*t(n). What is q in j(q) = 0? -96, -1/3 Let z(k) = 5*k**3 + k + 2. Let b(y) = 32*y**3 + 38*y**3 - 69*y**3 + y. Let c(a) = -12*b(a) + 3*z(a). Factor c(m). 3*(m - 1)**2*(m + 2) Let p(i) = 10*i**2 - 272*i + 56. Let d be p(27). Factor 0 - 1/4*r**d + 3/4*r. -r*(r - 3)/4 Suppose -15*k**2 + 18*k**3 + 16*k - k**4 - 45*k**2 - 21 + 2*k**4 + 46*k = 0. What is k? -21, 1 Let z be 10*(-4 + 9/2). Suppose 6 = z*o - 4. Factor -2*c**o + 4*c + 0*c**5 - 3*c + 2*c**4 - c**5. -c*(c - 1)**3*(c + 1) Suppose -6 = -3*n + 9. Factor -z**5 + 6*z**4 - 3*z**3 - 3*z**n - 2*z**5 + 3*z**5. -3*z**3*(z - 1)**2 Let q be (17 - 2)*((-14)/6 - 1). Let t be (-5)/(q/(-16))*(-20)/68. Factor -2/17*f**2 - t + 8/17*f. -2*(f - 2)**2/17 Let z(j) be the second derivative of -1/12*j**3 + 0*j**2 + 0 + 12*j - 1/48*j**4. Suppose z(b) = 0. Calculate b. -2, 0 Let l(s) = -2*s**2 + 61*s - 358. Let a be l(8). Find v such that -1/7*v + 3/7*v**a + 0 - 2/7*v**3 = 0. 0, 1/2, 1 Let x be ((-2)/24 - (-7925)/(-2100)) + 4. Factor x*u**3 + 1/7*u + 0 - 2/7*u**2. u*(u - 1)**2/7 Let p(b) be the third derivative of b**6/180 + b**5/18 + 2*b**4/9 + 4*b**3/9 + b**2 + 16. Factor p(c). 2*(c + 1)*(c + 2)**2/3 Let v(h) be the third derivative of h**7/315 - h**6/120 - 8*h**5/45 - 5*h**4/24 - 6*h**2 + 49*h. Suppose v(s) = 0. Calculate s. -3, -1/2, 0, 5 Factor 8*t**2 - 18*t**2 + 260 + 140 + 40*t + 11*t**2. (t + 20)**2 Let r = -59694 - -1790
{ "pile_set_name": "DM Mathematics" }
*f(b) - w(b). Determine 6*d(q) - 3*y(q). 9*q**3 Let v(r) = -5*r**3 + 3*r**2. Let q(g) = 26*g**3 - 14*g**2. Let y = -323 + 337. What is y*v(c) + 3*q(c)? 8*c**3 Let i be 1 + 185 - 2 - 3. Let t = i + -86. Let p(h) = h - 95 + t. Let x(o) = -2*o**2 - 4*o - 2. Give 6*p(c) + x(c). -2*c**2 + 2*c - 2 Let b be (-4)/10 - 17/(-5). Suppose 2*z - 13 + b = 0. Let n(r) = -6*r + 5*r + 3*r - z*r. Let j(a) = -4*a. Determine 2*j(s) - 3*n(s). s Let j = -2441 - -2443. Let p(r) = -58*r**3 + 7*r. Let k(d) = -19*d**3 + 2*d. Determine j*p(h) - 7*k(h). 17*h**3 Let d(b) = -11*b + 5. Let c(r) = -12*r + 5. Let g(w) = -2*c(w) + 3*d(w). Let s(q) = 5*q - 3. Let n be 24/156 - (-4)/(-12)*960/52. Give n*g(f) - 10*s(f). 4*f Let x(d) = -575*d**2 + 20*d - 20. Let c(r) = -r + 1. Calculate -20*c(g) - x(g). 575*g**2 Let i(o) = 10*o**2 + 13*o + 12. Let j(q) = -7*q**2 - 9*q - 8. Suppose -p = -c - 3, 6*c = 3*c + 4*p - 7. What is c*i(b) - 7*j(b)? -b**2 - 2*b - 4 Let f(i) = -4*i**3 + 3*i**2 - 28*i. Let c(x) = -12*x**3 + 10*x**2 - 85*x. Calculate 2*c(v) - 7*f(v). 4*v**3 - v**2 + 26*v Let f(q) = q**3 - 2*q**2 - 6*q - 466. Let o(k) = -3*k**3 + 5*k**2 + 15*k + 932. Calculate 10*f(z) + 4*o(z). -2*z**3 - 932 Let g(q) = -134*q**3 + 21*q**2 + 7*q - 7. Let n(p) = -p**3 + 3*p**2 + p - 1. Determine 3*g(y) - 21*n(y). -381*y**3 Let c = 477 - 471. Let r(j) = j**3 + j**2 - j + 1. Let a(k) = 4*k**3 + 6*k**2 - 6*k + 8. Determine c*r(u) - a(u). 2*u**3 - 2 Let a = 30 - 14. Let o = 1 - a. Let p = 20 + o. Let j(z) = 3*z**3 + 2*z**2 + 5*z - 1. Let n(c) = c**3 + c. Give p*n(s) - j(s). 2*s**3 - 2*s**2 + 1 Let l(v) be the first derivative of v**4 - 2*v**3 + 3*v**2 + 7*v - 157. Let p(s) = -s**3 + s**2 - s - 1. Calculate -l(a) - 6*p(a). 2*a**3 - 1 Let r(g) = 3*g**3 + 5*g**2 - 5*g + 5. Let y = 10 - 16. Let u(v) = -923 + 464 - 4*v**3 + 453 + 6*v - 6*v**2. Determine y*r(l) - 5*u(l). 2*l**3 Let c(i) = 3*i - 2. Let t(l) = l + 10. Let x be t(4). Suppose 2 = 3*u + x. Let g(m) = -1. Give u*g(o) + c(o). 3*o + 2 Let t(a) = 285*a**2 - 2*a - 18. Let i(u) = -7980*u**2 + 57*u + 494. Let l(m) = 2*i(m) + 57*t(m). Let d(p) = 22*p**2 - 3. Determine 38*d(s) - 3*l(s). -19*s**2 Let b(r) = 2*r + 2. Suppose 7 = -9*q - 29. Let f(w) be the third derivative of w**4/12 + w**3/3 - 5*w**2. Give q*b(g) + 5*f(g). 2*g + 2 Let l(c) = 64*c - 2. Let f(u) = -u. Determine f(w) + l(w). 63*w - 2 Let b(w) = 17*w**2 + 5. Let t(d) = -8*d**2 - 3. Let o be 20/(-6) - (2/3 + -1). Give o*b(m) - 5*t(m). -11*m**2 Let s(w) = -4*w**3 - 7*w**2 + 9*w. Let f(i) = i**3 + i**2 - i. Suppose 5*d + 10 = -5*d. Calculate d*s(x) - 6*f(x). -2*x**3 + x**2 - 3*x Let g be (-8)/1 + 31 + -29. Let q(w) = 13*w. Let m(j) = -7*j. What is g*q(u) - 10*m(u)? -8*u Let a(b) = 28*b**3 + 7*b - 10. Let g(l) = 9*l**3 + 2*l - 3. Let j(m) = -m**2 - 2*m + 209. Let q be j(-15). Give q*g(p) - 4*a(p). 14*p**3 - 2 Let i(t) be the second derivative of -t**3/6 - t**2/2 + 2*t - 11. Let o = 13 + -11. Let w(y) = -2*y**3 + 2*y + 1. What is o*i(v) + w(v)? -2*v**3 - 1 Let y(a) = 1. Let c(n) = n**2 + 2. Let h be (5 - 4)*6/(-2). Let z = 1 + h. Suppose -67*x + 6 = -61*x. Give x*c(t) + z*y(t). t**2 Let u be -5*3*2/6. Let x(d) = -10*d + 13. Let z be x(2). Let k(y) = 2*y**3 + 5*y**2 + 3. Let c(p) = -3*p**3 - 7*p**2 - 4. Determine u*c(j) + z*k(j). j**3 - 1 Let o(l) = -28*l - 38. Let h(u) = -24*u - 38. Give 6*h(s) - 5*o(s). -4*s - 38 Let y(l) = 5*l**3 + 18*l**2 - 3*l + 1. Let a(f) = -4*f**3 - 15*f**2 + 2*f - 1. Determine 3*a(c) + 2*y(c). -2*c**3 - 9*c**2 - 1 Let k(h) = 2*h**3 + 16*h + 180. Let p(n) = n**3 + 6*n + 60. Determine 3*k(d) - 8*p(d). -2*d**3 + 60 Let v(k) = -k**2 - 3*k - 5. Let o be v(-2). Let y(z) = 3*z**3 - 2*z**2 - 5*z - 4. Let d(h) = -2*h**3 + h**2 + 3*h + 2. Give o*y(i) - 5*d(i). i**3 + i**2 + 2 Let o(d) = -d**3 + d**2 + d - 1. Let y(u) be the third derivative of -1/20*u**6 + 5/24*u**4 + 0*u + 1/12*u**5 + 46*u**2 + 0 - 5/6*u**3. Calculate 5*o(r) - y(r). r**3 Let h(m) = 34*m**2 - 7*m - 42. Let z(k) = -11*k**2 + 2*k + 14. Let w(l) = -3*h(l) - 8*z(l). Let v(t) = 5*t**2 - 2*t - 5. Give 11*v(p) + 4*w(p). -p**2 - 2*p + 1 Let d(g) = 4*g**3 + 12*g**2 + 2*g + 56. Let n(w) = -w**3 - 6*w**2 - w - 1. Determine d(t) + 2*n(t). 2*t**3 + 54 Let m(i) = 20*i**2 + 115*i - 3. Let c(w) = -17*w**2 - 114*w + 2. Give -6*c(u) - 5*m(u). 2*u**2 + 109*u + 3 Let d(g) = -4*g. Let h(k) = 22*k + 132. What is 5*d(v) + h(v)? 2*v + 132 Let w(q) = -16*q**2 + 3*q + 5. Let m(c) = -15*c**2 + 3*c + 6. Determine 3*m(u) - 4*w(u). 19*u**2 - 3*u - 2 Let v(o) = 13*o**3 + 3*o**2 + 5*o + 10. Let z(y) = 3*y**3 + 2*y + 1. Let d(m) = v(m) - 5*z(m). Let l(r) = -r**3 + r**2 - 3*r + 3. Give 3*d(i) - 5*l(i). -i**3 + 4*i**2 Let o(s) = -8*s - 3. Suppose -4*v + 113 - 101 = 0. Let f(m) = 16*m + 5. What is v*f(r) + 5*o(r)? 8*r Let c(m) = -m - 1. Let y(t) = -7*t - 4. What is 2*c(f) - y(f)? 5*f + 2 Let m(a) = -7*a**3 - 3*a**2 + 34*a + 20. Let w(x) = x**3 + x**2 - 9*x - 5. What is -3*m(u) - 11*w(u)? 10*u**3 - 2*u**2 - 3*u - 5 Let z(y) = 3*y**2 - 68*y - 9. Let c be z(23). Let h(n) = 4*n**2 - 9*n. Let j(f) = -9*f**2 + 19*f. Calculate c*h(i) + 6*j(i). 2*i**2 - 12*i Let n(m) = 7*m - 2. Let p(v) be the first derivative of -21*v**2/2 + 7*v + 50. Give 7*n(d) + 2*p(d). 7*d Let d(f) = -66*f + 3. Let n(a) = 199*a - 8. Determine 8*d(c) + 3*n(c). 69*c Let d(q) = 1. Let o(m) be the second derivative of m**3/6 - 5*m**2/2 + 143*m. What is 4*d(l) + o(l)? l - 1 Let w(p) = -5*p**3 + 8*p**2 - 3*p - 5. Let r(l) = 5*l**3 - 7*l**2 + 2*l + 5. Let h(y) = -3*r(y) - 2*w(y). Let d(m) = m**2 - 1. Determine -5*d(q) + h(q). -5*q**3 Let g(c) = c**2 - 2*c + 4. Let u(b) = 833*b**3 + 6*b**2 - 14*b + 24. Give -6*g(m) + u(m). 833*m**3 - 2*m Let d(y) = -12*y**3 + 2*y**2 + 5*y - 5. Let b(h) = 11*h**3 - 2*h**2 - 4*h + 4. What is 5*b(v) + 4*d(v)? 7*v**3 - 2*v**2 Let m(a) = -a**2 - a - 1. Let g(o) = -2*o**2 - 6*o - 6. Let j(r) = 4*r + 7. Let v be j(-2). Calculate v*g(u) + 6*m(u). -4*u**2 Let o(u) = 4*u**2 + 8*u + 8. Let d(z) be the second derivative of z**4/12 + z**3/6 + z**2/2 - 72*z. What is -8*d(q) + o(q)? -4*q**2 Let m(k) = k**3 + 4*k - 3. Let y be 7/56*56 - (-12)/(-2). Suppose 0 = -4*u, u = -4*c + 5*u - 12. Let d(t) = t**3 + t - 1. Give c*d(o) + y*m(o). -2*o**3 + o Let f(v) = -v**3 + v + 1. Let a(l) = 43*l**3 + 1. What is -a(d) - f(d)? -42*d**3 - d - 2 Let m(d) = -8*d + 2. Let l(i) = -23*i + 9. Determine 6*l(t) - 17*m(t). -2*t + 20 Let p(y) = -y. Let i(z) = -6*z - 13. Let j(g) = i(g) + p(g). Let l(s) = 10*s + 19. Let c be 12 + ((-4)/6 - 209/33). Calculate c*l(u) + 7*j(u). u + 4 Let t(u) = 3*u**3 + 38*u**2 - 4*u + 3. Let a(j) = -13*j**3 - 152*j**2 + 17*j - 14. Give -2*a(o) - 9*t(o). -o**3 - 38*o**2 + 2*o + 1 Let s(a) = 3*a**3 + 3*a**2 + 4*a - 11. Let j = -481 - -477. Let x(w) = -4*w**3 - 4*w**2 - 5*w + 11. Give j*x(r) - 5*s(r). r**3 + r**2 + 11 Let g(f) = 2*f**2 + 3*f - 6. Let n(b) = 9*b + 37. Let m be n(-5). Let p(o) = o**2 + o - 2. Suppose t - 2 = 1. Give m*p(i) + t*g(i). -2*i**2 + i - 2 Let f(z) = z + 3. Let p(x) = -138*x - 14. Give -10*f(n) - 2*p(n). 266*n - 2 Let h(c) = c**2 - 1. Let j(x) = -7*x**2 + 6. Suppose -15*s - 27 = 12*s. Calculate s*j(b) - 6*h(b). b**2 Suppose -3*x + 3*i - 5*i = 11, -5*x = -5*i + 35. Let v(a) = -4*a**2 + a + 2. Let z(o) = 2*o**2 - 1. Give x*z(f) - 2*v(f). -2*f**2 - 2*f + 1 Let v(z) = 128*z**3 - z**2 + z. Let h(n) = -65*n**3 - n. Give -5*h(o) - 3*v(o). -59*o**3 + 3*o**2 + 2*o Let x(t) = -t + 2. Let v(c) = -c + 3. What is -4*v(z) + 5*x(z)? -z - 2 Let l(k) be the first derivative of -3*k**4/2 + 11*k**3/3 + 4*k**2 + 14*k + 172. Let v(z) = 4*z**3 - 7*z**2 - 5*z - 9. Calculate -5*l(j) - 8*v(j). -2*j**3 + j**2 + 2 Let r(k) = k**3 + k**2 - 1. Let t(p) = -5*p**3 - 2*p**2 + 76. What is -3*r(d) - t(d)? 2*d**3 - d**2 - 73 Let p(w) = 2*w**2 + w - 1. Let q(v) = 126*v**2 + 56*v - 56. Determine 168*p(k) - 3*q(k). -42*k**2 Let t(q) = 41*q**2 + 7*q - 9. Let l(r) = 21*r**2 + 4*r - 5. Determine -7*l(g) + 4*t(g). 17*g**2 - 1 Let l(v) = 90384*v**2 + 90384*v**2 - 180762*v**2 + 3*v**3 - 1 + 7. Let q(h) = -h**3 + 0*h**3 + h**2 + 1 + 2*h**3. What is l(p) - 6*q(p)? -3*p**3 Let o(r) = r - 5. Let h(v) = 4*v - 26. Let k(d) = 2*h(d) - 11*o(d). Let w(q) = 5*q - 7. What is -5*k(z) - 2*w(z)? 5*z - 1 Let g(x) = -8*x**2 - 3*x - 2. Let y(d) = d + 1. Let w be (-5)/20*4*3/(-3). What is w*g(n) + 3*y(n)?
{ "pile_set_name": "DM Mathematics" }
tor w(c). -2*c**2*(c - 1)*(c + 1) Let a(n) be the first derivative of 3*n**4/4 - n**3 - 15*n**2 - 24*n - 22. Let a(p) = 0. Calculate p. -2, -1, 4 Let x(i) be the first derivative of -i**6/3 + 38*i**5/15 - 127*i**4/18 + 262*i**3/27 - 64*i**2/9 + 8*i/3 + 14. Let x(t) = 0. Calculate t. 2/3, 1, 3 Suppose -4 = -5*t + 6. Determine w so that -t - 4 + 3*w**2 - 1 + 1 + 3*w = 0. -2, 1 Let w be (-9)/(-90) + (-4)/(-10). Let o(k) be the first derivative of 1/6*k**3 - w*k**2 + 1/2*k - 2. Factor o(p). (p - 1)**2/2 Let f(j) be the first derivative of -j**6/60 + 3*j**5/50 - j**4/40 - j**3/10 + j**2/10 - 8. Find q, given that f(q) = 0. -1, 0, 1, 2 Let t(h) = -15*h**2 + 69*h + 21. Let p(i) = -3*i**2 + 14*i + 4. Let d(c) = 21*p(c) - 4*t(c). Factor d(f). -3*f*(f - 6) Suppose -6 = 2*j - 5*j. Let y(l) be the first derivative of 1/10*l**5 + 0*l**4 + 0*l**3 + 3 + 1/12*l**6 + 0*l + 0*l**j. Factor y(k). k**4*(k + 1)/2 Let k(h) = 9*h**3 - 4*h**2 - 9*h + 9. Let o(j) = -5*j**3 + 2*j**2 + 5*j - 5. Let t(b) = -3*k(b) - 5*o(b). Factor t(y). -2*(y - 1)**2*(y + 1) Let i(p) = p**5 - p**3 + p**2 - p. Let t(d) = 14*d**5 + 6*d**4 - 14*d**3 - 2*d**2 - 12*d + 8. Let z(h) = 12*i(h) - t(h). Find y such that z(y) = 0. -2, -1, 1 Suppose -5 = -p - 3. Let q = 6 - 4. Determine f so that 5*f**p - f**2 + 2*f**3 - 2*f**q = 0. -1, 0 Let n(k) = k**4 + k**3 - k**2 + k + 1. Let j(h) = -3*h**4 - 13*h**3 + 15*h**2 - 9*h - 5. Let l = -8 + 9. Let b(r) = l*j(r) + 5*n(r). Factor b(o). 2*o*(o - 2)*(o - 1)**2 Let o = -17 - -17. Let g(s) be the third derivative of 3*s**2 + o + 1/360*s**6 + 1/18*s**3 + 0*s + 1/60*s**5 + 1/24*s**4. Determine v so that g(v) = 0. -1 Let q(g) be the second derivative of 3*g**5/100 - 4*g**4/15 + g**3/10 + g**2 - 2*g + 28. Factor q(r). (r - 5)*(r - 1)*(3*r + 2)/5 Let s(m) be the first derivative of m**4/16 - m**3/6 - m**2/2 + 2*m + 1. Factor s(n). (n - 2)**2*(n + 2)/4 Let 1/4*u**5 + 9/4*u**3 + 0 + 7/4*u**2 + 1/2*u + 5/4*u**4 = 0. What is u? -2, -1, 0 Let y be ((-19)/(361/(-38)))/(2 - 1). Factor -6/5 + 9/5*u - 3/5*u**y. -3*(u - 2)*(u - 1)/5 Let p = 14 + -14. Suppose -5*w - 2*i = 0, 2*w + 4*i = -p*i. Factor -1/4*j**3 + w + 0*j + 1/4*j**4 + 0*j**2. j**3*(j - 1)/4 Let y = -262 + 266. Factor -2/15*t + 0 - 4/15*t**2 + 4/15*t**y + 0*t**3 + 2/15*t**5. 2*t*(t - 1)*(t + 1)**3/15 Let s(y) = y**3 - 11*y**2 + 12*y - 14. Let m be s(10). Suppose z = 3*r + 9, 4*z = -0*z + 2*r + m. Factor 4/5*x**2 + 2/5*x**5 - 4/5*x**4 + 0 + z*x**3 - 2/5*x. 2*x*(x - 1)**3*(x + 1)/5 Suppose -3*l + 7*l - 4 = 0. Let y(m) = -m**3 - 1. Let p(a) = 3*a**2 + 3*a. Let g(r) = l*p(r) - y(r). Factor g(b). (b + 1)**3 Factor -8*h**2 + 5*h**2 + 4*h**2 - 4 - 6*h + 13. (h - 3)**2 Let u be (-4)/12*(0 + -9). Let c(j) = 3*j + 5. Let z be c(-1). Factor -1/2*s + 0 + 1/2*s**u - 1/2*s**z + 1/2*s**4. s*(s - 1)*(s + 1)**2/2 Let -32*d**3 + 62*d**3 + 14*d**2 - 32*d**3 = 0. What is d? 0, 7 Let s(z) be the first derivative of z**7/1155 - z**6/165 + 2*z**5/165 + 3*z**2 - 5. Let d(j) be the second derivative of s(j). Solve d(a) = 0 for a. 0, 2 Let j = -5092/5 - -1040. Let s = 22 - j. Factor -4/5 + s*c + 2/5*c**2. 2*(c - 1)*(c + 2)/5 Let u(o) be the first derivative of o**4/4 - 4*o**3/3 + 3*o**2/2 - 15. Solve u(w) = 0. 0, 1, 3 Let d(v) = v**2 + 5*v + 4. Let h be d(-3). Let i = h + 10. Find c, given that 8*c**2 + 3*c**4 - 4*c**4 + 3*c**4 + i*c**3 = 0. -2, 0 Let y(h) = -18*h**4 - 25*h**3 + 18*h**2 + 25*h. Let b(g) = 3*g**4 + 4*g**3 - 3*g**2 - 4*g. Let t(j) = -39*b(j) - 6*y(j). Factor t(o). -3*o*(o - 1)*(o + 1)*(3*o + 2) Suppose 6*y - y = 15. Let f(c) be the first derivative of 2/3*c**3 + 0*c**2 + y + 0*c. Factor f(w). 2*w**2 Suppose 6*n - 3*n = 6*n. Let r(b) be the first derivative of -1/4*b**4 - 1/5*b**5 + 1 + n*b + 0*b**2 + 0*b**3. Find a, given that r(a) = 0. -1, 0 Let o = 13/16 - 971/1200. Let r(u) be the third derivative of 1/150*u**5 + 0 - 1/15*u**3 + u**2 + 0*u + 1/60*u**4 - o*u**6. What is z in r(z) = 0? -1, 1 Let k = 1597/5 - 318. Let 8/5*b**2 + 3/5*b**3 + 2/5 + k*b = 0. Calculate b. -1, -2/3 Factor -1/3*q**3 + 1/3*q + 1/3*q**4 - 1/3*q**2 + 0. q*(q - 1)**2*(q + 1)/3 Let h(f) be the second derivative of 0*f**4 + 0*f**2 + 1/80*f**5 + 0 - 1/24*f**3 + 2*f. Factor h(w). w*(w - 1)*(w + 1)/4 Suppose 3*a = 42*a - 117. Find o, given that -1/2*o**2 + 1/2*o**a + 0*o + 0 = 0. 0, 1 Let -1/7*i**4 - 3/7*i**2 + 4/7 + 4/7*i**3 - 4/7*i = 0. Calculate i. -1, 1, 2 Let w(z) be the third derivative of 5*z**8/504 - z**7/35 - 17*z**6/180 - z**5/30 + 4*z**2 + 8*z. Find f such that w(f) = 0. -1, -1/5, 0, 3 Let p be 8/6 - 1/1. Determine w so that 0*w + p*w**3 - 1/3*w**2 - 1/3*w**5 + 0 + 1/3*w**4 = 0. -1, 0, 1 Let i = 24 + -24. Let k(n) be the third derivative of i*n**3 + 0*n + 0 - 1/525*n**7 + 0*n**5 + 2*n**2 - 1/300*n**6 + 0*n**4. Factor k(q). -2*q**3*(q + 1)/5 Let c(n) be the second derivative of 1/36*n**4 + 5*n + 0 + 0*n**2 - 1/18*n**3. Factor c(d). d*(d - 1)/3 Let a = 53/3 + -17. Factor 2/3*y**2 + a - 4/3*y. 2*(y - 1)**2/3 Suppose -4*t - 4 = a - 3*t, -12 = -5*a + 3*t. Factor 1/2*p**3 + a - p**2 + 1/2*p. p*(p - 1)**2/2 Suppose -3*i = -2*o + 39, 6*o - 2*o + 2*i - 38 = 0. Suppose -4*u + o - 4 = 5*q, -5*u = -2*q - 10. Factor -6 + 10 + 2*b + 32*b**u - 24*b - 14*b**3. -2*(b - 1)**2*(7*b - 2) Suppose -4*l + 5*h = -159 + 5, l - 4*h = 44. Let f(v) = -v + 1. Let s(o) = 2*o**2 - 14*o + 18. Let a(b) = l*f(b) - 2*s(b). Factor a(c). -4*c*(c + 2) Find s such that 0*s - 2/3*s**2 + 0 - 2/3*s**3 = 0. -1, 0 Let m(q) be the first derivative of -q**4/66 + q**2/11 - 5*q - 3. Let f(y) be the first derivative of m(y). Factor f(j). -2*(j - 1)*(j + 1)/11 Let t(z) = -z**3 - 5*z**2 - 5*z + 2. Let x be t(-4). Let g be (-4)/x + 16/24. Suppose 1/2*b**2 + 1/4*b + g + 1/4*b**3 = 0. What is b? -1, 0 Suppose 2/5*u - 2/5*u**2 + 12/5 = 0. What is u? -2, 3 Determine l so that 3/8*l**2 - 3/4 - 3/8*l = 0. -1, 2 Factor -2/3*d**4 + 0*d + 8/9*d**5 + 0*d**2 + 0*d**3 + 0. 2*d**4*(4*d - 3)/9 Let h(d) = -14*d**3 - 2*d. Let r(j) = -5*j**3 - j. Let p(g) = -3*h(g) + 8*r(g). Factor p(n). 2*n*(n - 1)*(n + 1) Let t(g) be the third derivative of g**6/960 + g**5/120 + 5*g**4/192 + g**3/24 + 6*g**2. Let t(f) = 0. What is f? -2, -1 Factor 5*s**3 - 4*s**3 + 5*s**3 - 8*s**2 + 4*s**4 - 2*s**3. 4*s**2*(s - 1)*(s + 2) Suppose 5*k - 322 = -312. Factor 0 - 10/9*m**3 + 2/3*m**4 + 2/9*m**k + 2/9*m. 2*m*(m - 1)**2*(3*m + 1)/9 Let q = -20 + 62/3. Factor -1/3*o**2 - q*o + 0. -o*(o + 2)/3 Let r(a) be the first derivative of -a**6/36 - 2*a**5/15 - a**4/4 - 2*a**3/9 - a**2/12 - 1. Solve r(v) = 0 for v. -1, 0 Let o(y) = y - 6. Let j be o(9). Let n = j - 1. Factor 0*r**4 + 2/9*r**3 + 0 + 0*r + 0*r**n - 2/9*r**5. -2*r**3*(r - 1)*(r + 1)/9 Solve -2*r**2 + 8*r**3 + 0*r**4 + 1 + 4*r**3 + 9*r**4 - 4*r = 0. -1, 1/3 Let w(j) be the first derivative of -3/4*j**4 + 1 + 0*j - 1/2*j**2 - j**3 - 1/5*j**5. Let w(d) = 0. What is d? -1, 0 Let -45*b + 5*b**2 + 5*b**2 + 28*b**3 + 10*b**2 - 19*b + 16 = 0. What is b? -2, 2/7, 1 Let v(g) be the third derivative of 2/105*g**7 + 4/15*g**5 + 0*g + 0 + 2/9*g**3 - g**2 + 1/3*g**4 + 1/9*g**6. Factor v(d). 4*(d + 1)**3*(3*d + 1)/3 Suppose 0 = -2*i - 4*t - 12, 4*i - 12 - 8 = 3*t. Let l(x) be the first derivative of -1/5*x**i - 2 + 0*x**3 + 0*x**5 + 0*x - 1/15*x**6 + 1/5*x**4. Factor l(f). -2*f*(f - 1)**2*(f + 1)**2/5 Determine p so that -2/15*p**4 - 8/15*p**3 - 8/15*p - 4/5*p**2 - 2/15 = 0. -1 Let g(j) be the second derivative of -j**4/4 + 3*j**3/2 + 6*j**2 - 41*j. Factor g(b). -3*(b - 4)*(b + 1) Let k(v) = 7*v**2 + v. Let m(p) = p**2. Let l(j) = k(j) - 6*m(j). Determine o so that l(o) = 0. -1, 0 Let y be ((-15)/(-6) - 2)*0. Let p(n) be the third derivative of 0 + y*n**4 + n**2 + 0*n**3 + 0*n - 1/60*n**5 + 1/60*n**6 - 1/210*n**7. Factor p(x). -x**2*(x - 1)**2 Suppose -1/4*w + w**3 + 0 - 3/4*w**2 = 0. What is w? -1/4, 0, 1 Let t(u) be the third derivative of 0 + 1/1440*u**6 + 1/240*u**5 + 1/96*u**4 - 2*u**2 + 0*u + 1/2*u**3. Let z(x) be the first derivative of t(x). Factor z(v). (v + 1)**2/4 Let y = -28739/60 - -479. Let m(a) be the third derivative of 0 + 0*a**4 - 1/10*a**5 + 2*a**2 + 4/3*a**3 + 0*a + y*a**6. Factor m(k). 2*(k - 2)**2*(k + 1) Determine z, given that 0 + 0*z**2 + 0*z - 2/3*z**3 = 0. 0 Find x, given that -10/7*x - 3/7 - 1/7*x**4 - 12/7*x**2 - 6/7*x**3 = 0. -3, -1 Suppose 3*n - 5 = -2*n. Let
{ "pile_set_name": "DM Mathematics" }
in 3, u, n, -2? u Let q = -74 + 82. Let r be 1321/(-195) - -3 - q/(-2). Let m = r - 1/39. Which is the third biggest value? (a) -3 (b) -0.3 (c) 3/5 (d) m b Let n(f) = f**2 - 25*f - 67. Let a be n(28). Let o = -39.96 - -0.96. Let k = o - -38.6. What is the second smallest value in k, 0.2, a? 0.2 Let z(t) = 5*t**3 + t**2 + t + 3. Let d be z(-1). Which is the third biggest value? (a) 17.9 (b) 7 (c) d c Let s = -0.49 - 111.01. Let v = 111 + s. Which is the second biggest value? (a) 4 (b) v (c) -11/6 b Let w(h) = h**3 - 7*h**2 + h - 9. Let i be w(7). Let r = -41.02 + 41. Let x = 184 - 924/5. Which is the fourth biggest value? (a) x (b) 4 (c) r (d) i d Let r = -26 - -24. Let h = r - -3. Let s = 223/1287 - -1/117. Which is the second smallest value? (a) s (b) h (c) -3 a Let t = 15.25 + -0.25. Let o = 14.33 - t. Let j = 2.67 + o. Which is the fourth biggest value? (a) -3 (b) -0.05 (c) j (d) -1 a Suppose 4*w = -3*u - 21, u + 6 = -4*w - 17. Let o = 28.745 - 29.245. What is the third smallest value in 7, w, o? 7 Let i = -68.9 + -1012.1. Let m = -1080.539 - i. Let r = -0.061 + m. What is the smallest value in r, -0.1, 2, -6? -6 Let u = 769350/53 + -14516. What is the fourth biggest value in u, -0.1, -0.01, -2? -2 Let z = 2.323 - -0.677. Let v = -0.06 + 0.56. Let i = 0.4 - v. Which is the smallest value? (a) i (b) -0.4 (c) 1/4 (d) z b Let t be (37/111)/((-4)/12). Let c be (-10)/4*178/(-5). What is the third biggest value in -5, t, -0.3, c? t Let s = 1204 + -1199. What is the biggest value in s, 1, 52? 52 Let k(v) = v**3 - 3*v**2 - 2*v + 2. Let t be k(3). Let m be ((-3)/4)/((-1407)/(-2680)) + 104/455. Which is the third smallest value? (a) m (b) t (c) 0.6 c Let g be (-3)/2*(-5)/(-15). Suppose -6*d - 4489 = -553. Let n = d + 3268/5. Which is the smallest value? (a) 0.4 (b) g (c) n c Let z be 23 + -4 - 8976/462. What is the third biggest value in z, -7.2, 9, -3? -3 Suppose 132*w - 13*w = -833. What is the smallest value in -0.4, 80, w, -2, 0.4? w Let t(b) = b + 2. Let o be t(0). Let d(y) = y**3 + 5 - 5*y**o + 78*y - 72*y + 12*y**2. Let r be d(-6). What is the biggest value in 0.4, r, -4? r Let d = 204 - 152.4. Let v = d - 50.6. Which is the second smallest value? (a) -0.4 (b) -3.2 (c) v a Let j(v) = 3*v + 4. Let g be j(-3). Let k = 16168 + -16171. Which is the second biggest value? (a) -1 (b) g (c) k (d) 0.2 a Let x(z) = z**3 - 8*z**2 - z + 11. Let t be x(8). Suppose 0*m - t = m. Let y be (-16)/12 + (-2)/3. Which is the third biggest value? (a) y (b) 7 (c) m c Let k = 1047/74638 - -1/1114. Which is the smallest value? (a) 1 (b) 2/7 (c) k c Let w = 156.8 + -156.6. Let x be 4/20 - 8/(-35). What is the fourth biggest value in -0.2, x, w, 0.1? -0.2 Let u be 2*(-1 + (3 - 2) - -1). Let p = -21.6 + 49. Let x = -27 + p. Which is the second biggest value? (a) 8/5 (b) -0.5 (c) x (d) u a Let d = 0.2698 - -0.0302. Let y = 61.5 - 61. Which is the third biggest value? (a) 23 (b) y (c) d c Let p = -3974 + 3970. What is the biggest value in p, 48/55, 0.2? 48/55 Let o be 300/135 + (-5)/((-45)/(-4)). Which is the fifth biggest value? (a) -1/4 (b) 4 (c) -1 (d) o (e) 9 c Let s = 12841 - 12846. What is the second biggest value in 6/7, 3, s, -0.1? 6/7 Let d be 35 - 45 - 14/(-1). Which is the third biggest value? (a) -1/2 (b) d (c) -3 c Let k = 6074.8 - 6075. Which is the smallest value? (a) k (b) 45 (c) 6 a Let u = 1454 - 609. What is the fourth biggest value in -2, 1/3, u, 1/2? -2 Let q = -1693 + 1692. What is the third smallest value in 2/23, 4/23, 4, -0.4, q? 2/23 Let d = 2373 + -2372.7. Which is the smallest value? (a) -3/13 (b) d (c) 2/37 a Let u = -186 - -5392/29. Let n = 48117 + -48116.8. Which is the third smallest value? (a) 4 (b) n (c) 1/4 (d) u c Let r be 20/(-40) + 1/4. Let o = 4.846 + -0.846. What is the fourth biggest value in o, -3, r, 3/2? -3 Let u = -1/11 + 16/55. Let s be ((-4)/18 + 456/1026)*9/11. Which is the second smallest value? (a) u (b) -11 (c) s (d) 1/4 c Let z be 44/(-2178)*10 + 3/27. What is the fourth smallest value in -86, -9, 3, z? 3 Let j = 2.94 + 0.06. Let o = 65.1 - 46. Let m = o + -22.5. Which is the third biggest value? (a) -5 (b) m (c) j a Let m = 502 - 505. Let x be 1/(-4) + 0/(3/m). Which is the biggest value? (a) x (b) -8 (c) -0.6 a Let i = 947 - 946.97. Let f = -583/9 + 65. What is the smallest value in 4, i, f? i Let t = -64206.783 + 64512.2. Let p = t - 0.417. What is the second smallest value in 0, p, 2? 2 Let a = -4759 + 4756. What is the smallest value in 5, a, 766? a Let n = -338863/285 + 1189. Let g = n - -163/1140. What is the fourth biggest value in -2/5, g, -5, 5? -5 Let i = -5370 - -5372. Which is the fourth biggest value? (a) -0.2 (b) i (c) -0.02 (d) 1 a Let w = -124 - -84. Let q = w + 159/4. Suppose 13*o + 68 = 3. Which is the second biggest value? (a) q (b) -2 (c) o b Suppose 5*t - 46 = 2*m, 0 = t - 138*m + 135*m - 43. Let y be (-2)/6 - (-10)/66. What is the third smallest value in t, 1.5, y? t Let o be 16 - (27378/(-65))/(-27). What is the fifth smallest value in 2, -5, -2/17, 1/8, o? 2 Let s = 42.9 - 47. Let u = s - -0.1. Let a = -0.428351 + -0.071649. What is the smallest value in a, 0.04, u? u Suppose -2*v - 44 = 2*v + 4*u, 4*v + u = -41. Let h = 5.16 + -0.06. Let r = -5.4 + h. What is the biggest value in r, v, -0.4, 1/3? 1/3 Let c = 26.39 + 1.61. Let z = c - 28.02. What is the fourth smallest value in -0.3, -4, 1, z? 1 Let f = 403 + -719. Let l = f - -315.9. Let s = -1 + 1.2. Which is the second smallest value? (a) 0.1 (b) s (c) -1/4 (d) l d Let f = -6.4 - -6. Let s = 0 + 0.1. Let k = 1455 + -1451. Which is the biggest value? (a) -3/5 (b) f (c) s (d) k d Let t = -4.01542 - -0.01542. Which is the smallest value? (a) -0.7 (b) t (c) 51 (d) 2 b Let n = -6384 + 31922/5. What is the third smallest value in 1/3, 24, 0.3, n, 3? n Let d = 21 + -23.2. Let k = d - -0.2. Let f = -2570 + 2575. Which is the third biggest value? (a) k (b) 12 (c) f a Let w be ((-2816)/1056)/((-2)/(-2)). What is the biggest value in w, 0.02, -12, 5, -3? 5 Let h = -0.0686 + -0.3314. Which is the biggest value? (a) -4 (b) 88 (c) h (d) -2/7 b Let t = -89.96 + 89.66. What is the biggest value in 13/30, t, -2? 13/30 Let x be ((-8)/(-12))/2 + 2280/(-9). Let y = -497/2 - x. Which is the second smallest value? (a) 1/4 (b) 4 (c) y b Let o be -3*(-87)/36 + 14*1/(-2). What is the third biggest value in 5, o, -1104, 0? 0 Let h = -36488 + 36492. Let z = 75 - 157. Let n = 78.3 + z. What is the biggest value in h, -1, n? h Let b = 0.09223 + 2.90777. Let p = 3 + -5. Let f = 0.1 + -1.1. What is the second smallest value in b, 1, f, p? f Let r(j) = j**3 - 8*j**2 - 7*j - 18. Suppose -46 = -2*i - 28. Let h be r(i). Suppose -12 = -3*v + 7*v. What is the second biggest value in v, 4, h? h Let t be (-24)/(-27)*2/(-4). Let f = -456.15 + -4.85. Let k = f + 458. Which is the smallest value? (a) k (b) t (c) 4 a Suppose 32*s + 41 = 85*s - 65. What is the third smallest value in 0.5, s, -216, 4/3, 4? 4/3 Let y be (0 + (-2)/(-12))/(16 - 1071/68). What is the second biggest value in 1/3, y, 87, -6/5? y Let n = 2/15897 + 15887/79485. What is the second smallest value in 16, n, 2, -5? n Suppose 2769 = 3*o + 3*s, 1233 = 2*o + 4*s - 619. Let u = -1839/2 + o. What is the third biggest value in -5, u, 5, 4? u Suppose 2*d - 15 = -d. Suppose d*g - 48 = 17*g. Let w be 10/g*16/140. Which is the third biggest value? (a) -0.2 (b) w (c) 3/2 b Let w = -0.11 + -0.19. Let s = w + -0.7. Let p = -4/5877 + 35306/64647. Which is the fourth biggest value? (a) -2/5 (b) p (c) s (d) 2/13 c Let x = 24 + -23.97. Let w = 17.96 + -18. Which is the second smallest value? (a) 3/7 (b) x (c) w b Let u = -226141 - -226141. Let l be (1 - -2)/(-3 + 1). Let r = -4.83 + 5. Which is the second biggest value? (a) -0.4 (b) u (c) r (d) l b Let h = 2.1 - 4.4. Let y = 3 + h. Let l = -8.7 + y. What is the fourth biggest value in -3, 0.2, l, 2? l Let f = 8031/40 - 1603/8. Which is the fourth smallest value? (a) -3 (b) 1/3 (c) f (d) 59 d Suppose 5*y - 5*j - 20 = -0, 0 = -5*y + 3*j + 16. Let k = -4.112 - -0.112. Which is the second smallest value? (a) k (b) 6 (c) y c Let u(p) = -5*p + 175. Let v
{ "pile_set_name": "DM Mathematics" }
rt h? -20*h**3 Suppose -6*t = 9*t - 735. Find the second derivative of 93*r**2 - r**4 - t*r - 14*r + 1 - 36*r**2 wrt r. -12*r**2 + 114 Let s = 20 - 1. Suppose -s = -6*c + 41. Differentiate -a**2 - 603 + 599 - c*a**4 + a**2 with respect to a. -40*a**3 Let a(s) be the first derivative of 1/2*s**2 + 0*s**3 + 17*s + 9/2*s**4 - 32. Find the second derivative of a(j) wrt j. 108*j Suppose 3*m + 3*m = 780. Suppose 2*p + 8*p = m. Find the second derivative of p*r**5 + 7*r + 5*r - 9*r wrt r. 260*r**3 Let l = 72 - 82. Let w(h) = -26*h - 6. Let y be w(l). Find the second derivative of -3*i + 230*i**5 + 0*i - y*i**5 wrt i. -480*i**3 Suppose 1011 - 1424 = -7*d. What is the second derivative of 82*u**4 + 3*u + d*u**4 + 30*u**4 wrt u? 2052*u**2 Let a = 28 + 3. Let q(u) = 39 - 15 - 8*u - a*u + 32. Let y(v) = 20*v - 28. Let d(x) = 2*q(x) + 5*y(x). Find the first derivative of d(z) wrt z. 22 What is the third derivative of 1819*q**3 - 405*q**6 + 1850*q**3 - 4514*q**2 - 3668*q**3 wrt q? -48600*q**3 + 6 Let o(a) be the first derivative of -a**3/3 + 4*a**2 + 5*a - 26. Let n be o(8). Differentiate 5*z**2 - n*z**2 - 22 - 3*z**2 with respect to z. -6*z Let p be -1*-1*(0 - -2). Let l = -3096 - -3839. What is the third derivative of t**3 - l*t - 9*t**p + 743*t wrt t? 6 Find the third derivative of 16*f**5 - 3*f**6 + 0*f**6 + 7 - 4*f**6 + 914*f**2 + 8*f**6 - 964*f**2 wrt f. 120*f**3 + 960*f**2 Let y = 196 - 183. Find the second derivative of -y*j - 419*j**4 + 199*j**4 + 1 + 202*j**4 wrt j. -216*j**2 Suppose 2*l = -30 - 34. Let w be ((-1)/((-4)/l))/(-2). Find the second derivative of -h**2 + 17*h + 12*h + w*h**2 wrt h. 6 Suppose 0 = -22*d + 24*d - 26. Let u be (-11 + d)/(4/14). Find the second derivative of 3*b**5 + 5*b**5 - u*b**5 + 11*b - 2*b wrt b. 20*b**3 Let s(a) be the second derivative of 0 + 0*a**4 + 50*a + 1/3*a**3 + 21/20*a**5 - 83*a**2. What is the first derivative of s(l) wrt l? 63*l**2 + 2 Let s = -170 + 175. What is the derivative of s*f**3 - 98*f**4 + 42*f**4 + 51*f**4 + 3 - 25 wrt f? -20*f**3 + 15*f**2 Suppose 231 = 3*b - 5*h, h + 1 = -3*b + 214. What is the derivative of -148 + b + 38*g**3 + 58 wrt g? 114*g**2 Let m(b) = -b**2 + 7*b - 7. Let t be m(4). Let a be 3 + (-2 - -1) + t. Find the third derivative of a*u**4 + u**2 - 5*u**4 - 5*u**4 + u**4 wrt u. -48*u Let c = -7092 - -7109. Let u(z) be the third derivative of c*z**2 + 5/6*z**3 - 5/24*z**4 + 0 + 0*z. Differentiate u(o) with respect to o. -5 Let u(s) be the second derivative of -4187*s**4/6 + s**3/6 + 107*s**2/2 + 4164*s. What is the second derivative of u(j) wrt j? -16748 Let t(g) = 1721*g**3 - 30*g**2 + 210. Let u(c) = -1724*c**3 + 35*c**2 - 211. Let y(z) = -7*t(z) - 6*u(z). Differentiate y(r) with respect to r. -5109*r**2 Let w(c) = -1079*c**3 + 6*c**2 - 2323*c - 3. Let j(l) = 1082*l**3 - 4*l**2 + 2323*l + 2. Let r(g) = -3*j(g) - 2*w(g). Find the second derivative of r(b) wrt b. -6528*b Let z be 0 + (-16)/(-2) + 141 + -145. Find the second derivative of -19*c**2 - 14*c**2 + 35*c**2 + 1 - 36*c - 49*c**4 - z*c wrt c. -588*c**2 + 4 Let g be (-76)/(-18) - -1 - (-2)/(-9). Suppose -3*q + 115 = g*d + 2*q, 52 = 2*d + 4*q. Differentiate 1 + d*c**3 - 20*c**3 - 13*c**4 wrt c. -52*c**3 Suppose 2*d - 8 = -i, -20 = -5*d - 0*d + 5*i. Let x = 103 - 78. What is the third derivative of 15*v**d - 13*v**4 - 29*v**4 - 10*v**4 + x*v**2 wrt v? -888*v Suppose -5*p = n - 77, -10*n + 5*n + 5*p = -505. What is the third derivative of -n*b**3 + 8*b + 6*b**2 - 33*b**3 - 47*b**3 - 8*b wrt b? -1062 Let s(v) = 29*v**3 + 6. Let c(u) = u**3. Suppose -20 = -54*y + 49*y. Let a(n) = y*c(n) + s(n). Find the first derivative of a(h) wrt h. 99*h**2 Let y be (2/(-2))/((-6)/10)*3. Suppose -s = y*o + 4*s - 30, -4*o = 5*s - 27. What is the second derivative of -h + 7*h + 0*h + 19*h**o wrt h? 114*h Let n(r) = 11383*r + 1832. Let o(d) = 34148*d + 5464. Let g(s) = 8*n(s) - 3*o(s). Differentiate g(k) wrt k. -11380 Let y(x) = x**4. Let g(o) = 5*o**4 + 190*o**3 - 1267*o. Let w(h) = -g(h) + 4*y(h). Find the second derivative of w(v) wrt v. -12*v**2 - 1140*v Let z = 61 + -52. Suppose 0 = 11*c - z*c - 62. Find the second derivative of -c + 31 + 18*m - 23*m**2 wrt m. -46 Let t(q) = q**3 - 7*q**2 + 6*q - 3. Let o be t(6). Let g be 5 + -1 + o + 4. Find the second derivative of -7*f**g + 13*f**5 + 3*f**5 + 5*f**5 - 22*f wrt f. 280*f**3 Find the first derivative of 377*g**3 - 23*g + 1419*g**3 - 314*g**3 + 23*g + 3501 wrt g. 4446*g**2 Find the third derivative of 2 + 4*i**2 - 37273*i + 8*i**6 + 2*i**2 + 37544*i + 50*i**4 - 3*i**5 wrt i. 960*i**3 - 180*i**2 + 1200*i What is the third derivative of -g + 992*g**5 + g - 130*g**5 + 863*g**5 - 1733*g**2 wrt g? 103500*g**2 Find the third derivative of 4873*f + 4875*f + 36 - 9*f**2 - 1400*f**3 - 9748*f - 13 wrt f. -8400 Let c(t) = -473*t**5 - 11*t**4 - 32*t + 177. Let o(z) = -236*z**5 - 6*z**4 - 17*z + 88. Let l(d) = 6*c(d) - 11*o(d). Find the second derivative of l(j) wrt j. -4840*j**3 Find the second derivative of -9717*a**2 - 9710*a**2 - 218 + 144*a**3 - 2*a + 19427*a**2 wrt a. 864*a Suppose 3*c = 3, -4*v - 5*c + 335 = -182. What is the derivative of -163*w**4 + 126 + v*w**4 - 113*w**4 + 38 wrt w? -592*w**3 Suppose m - 4*m = -27. Let s(y) = -y**3 + 10*y**2 - 8*y - 5. Let u be s(m). What is the third derivative of -9*q**4 + 4*q**4 - 9*q**2 - 4*q**u - 4*q**2 wrt q? -216*q Find the third derivative of -70*h + 17*h + 4643*h**3 + 38*h**2 - 1714*h**3 + 5*h + 1750*h**3 wrt h. 28074 Suppose -4*k = -o + 189, -717 = -4*o - 2*k - 15. Find the second derivative of 0*h - 3 + 332*h**4 - 5*h - o*h**4 + h wrt h. 1860*h**2 Suppose 9 + 21 = 5*v. Suppose 16 = 2*b + n, -v*b = -b + n - 43. Find the first derivative of -18 - 5*u + b*u + 12*u + 11*u wrt u. 27 Let u = 100 + -65. Let f be 564/10 + (-14)/u. What is the second derivative of -25*x - 36*x**4 - f + 56 wrt x? -432*x**2 Let b(o) be the third derivative of -o**8/84 - 17*o**5/12 - 4841*o**4/8 + 62*o**2 - o - 56. Find the second derivative of b(n) wrt n. -80*n**3 - 170 Let j(m) be the first derivative of -73*m + 1/3*m**3 - 33 - 1/2*m**2. What is the first derivative of j(x) wrt x? 2*x - 1 Suppose 14*m + 2*m = 0. Let a(f) be the first derivative of -13*f + 13 + 17/5*f**5 + m*f**3 + 0*f**2 + 0*f**4. What is the first derivative of a(r) wrt r? 68*r**3 Let u(f) = 4*f**2 - f + 2. Let r be u(0). Find the third derivative of 7*l**6 + 118*l**r - 577*l + 577*l wrt l. 840*l**3 Suppose -19323 = -7*h + 34479. Find the first derivative of 7686*s + 7*s**3 + 25 - h*s wrt s. 21*s**2 Suppose 3*w + 2*k - 2 = 0, -2*k - 25 = 3*k. Find the first derivative of -4*o**3 + 21 + o**w + 25 - 33 + 11 wrt o. 4*o**3 - 12*o**2 Let m(n) be the third derivative of -104*n**2 - 13/40*n**6 + 133/60*n**5 + 0*n**4 + 0 + 0*n**3 + 0*n. Find the third derivative of m(d) wrt d. -234 Let d(a) be the third derivative of -a**7/10 - a**6/60 - a**4/24 + 235*a**3/6 - 3*a**2 - 216*a. Find the second derivative of d(q) wrt q. -252*q**2 - 12*q Suppose 5*y = -20, 18*y = -3*w + 13*y + 487. Find the second derivative of 64*u**3 + w*u**3 + 21 - u - 154*u**3 wrt u. 474*u Let q(d) be the third derivative of -206*d**7/35 + 91*d**4/24 - 363*d**2. Find the second derivative of q(k) wrt k. -14832*k**2 Let h(j) = 234*j**4 + 92*j**2 + 992. Let f(a) = 2*a**4 - 4*a**2 - 1. Let x(c) = 26*f(c) + h(c). Differentiate x(t) with respect to t. 1144*t**3 - 24*t Find the third derivative of 108*w**2 - w**6 - 149*w**5 - 476*w**2 + 87*w**5 + 71*w**5 + 13*w**3 wrt w. -120*w**3 + 540*w**2 + 78 Let j = 734 + -317. Find the first derivative of 220*k + 253*k - j*k - 63 wrt k. 56 Let f(a) be the second derivative of -8*a + 0*a**2 + 0*a**5 + 2 + 1/3*a**3 - 2/3*a**4 + 19/30*a**6. What is the third derivative of f(i) wrt i? 456*i Let h(r) be the second derivative of 86*r**2 - 3 + 28/3*r**3 + 9*r. What is the first derivative of h(u) wrt u? 56 Let b be 15 + 2/2 + (-20 - -17). Suppose -6 + b = m. What is the third derivative of -m*l**6 + 4*l**6 - 28*l**2 + l**6 wrt l? -240*l**3 What is the derivative of -3321*m + 39012 - 74619 + 37966 wrt m? -3321 Suppose 8*j = 211 - 195. Differentiate 5*x**2 - j*x + 3*x**2 + 8*x + 47 - 7*x wrt x. 16*x - 1 Let k = 12 - 9. Suppose 3*h = -2*w + 5, -3*w - k*h = w - 7. Differentiate -18*y**4 + w + 6*y**4 + 9*y**4 + 10 with resp
{ "pile_set_name": "DM Mathematics" }
lify ((sqrt(99) - 3*sqrt(99)*-6) + sqrt(99))/(sqrt(324) - (-3*sqrt(324) + sqrt(324))). 10*sqrt(11)/9 Simplify ((sqrt(152) + sqrt(152)*1)/sqrt(4) - sqrt(38))/(sqrt(2) - -4*sqrt(2)*-1). -sqrt(19)/3 Simplify (sqrt(5) + (sqrt(20) + sqrt(5) - sqrt(5)) + 3 - sqrt(5)) + 2*(sqrt(25)/sqrt(5))**2. 2*sqrt(5) + 13 Simplify sqrt(1620)*3. 54*sqrt(5) Simplify (sqrt(16) - 2*sqrt(1024))/(3*(sqrt(8) + sqrt(200) - sqrt(8))). -sqrt(2) Simplify (sqrt(5) - (sqrt(20)*1)**2) + -1. -21 + sqrt(5) Simplify ((sqrt(612) + 2 + sqrt(612))**2 + sqrt(612))*-5. -12260 - 270*sqrt(17) Simplify (5*(sqrt(8)/sqrt(4) + -1 + sqrt(2)) + -4)**2. -180*sqrt(2) + 281 Simplify (-2 + sqrt(5) - sqrt(5))**2*-5 + (sqrt(30)/sqrt(2))/sqrt(3). -20 + sqrt(5) Simplify (-2*sqrt(39)/sqrt(3) - (sqrt(13) + sqrt(13) + sqrt(117))*-3)**2. 2197 Simplify (sqrt(132)/(sqrt(27)*-2))**2. 11/9 Simplify 6*(1 + (sqrt(7) - sqrt(252))). -30*sqrt(7) + 6 Simplify (sqrt(180) + -2)**2 - -2*1*sqrt(5). -22*sqrt(5) + 184 Simplify 2 + (2*sqrt(1700))**2 + -6*(sqrt(1700)*-1)**2. -3398 Simplify 0 + sqrt(208) + 1 + -4. -3 + 4*sqrt(13) Simplify -1*(sqrt(18)/sqrt(2))/sqrt(3). -sqrt(3) Simplify ((sqrt(242) - 2*sqrt(242) - sqrt(242))*3 + sqrt(242) + 0 + -5)**2. 550*sqrt(2) + 6075 Simplify (0 + sqrt(637) + -5)*-2. -14*sqrt(13) + 10 Simplify (-2*sqrt(567)*-4)**2 + sqrt(567). 9*sqrt(7) + 36288 Simplify (sqrt(425) - (sqrt(425) + -1)*6)**2. -300*sqrt(17) + 10661 Simplify (sqrt(12)/sqrt(4) + 2 + 2)**2 + -1. 8*sqrt(3) + 18 Simplify 5*(sqrt(1088) - (1*sqrt(1088) + sqrt(1088))). -40*sqrt(17) Simplify (-4 + (sqrt(13) + 2)**2 + 3)*2. 8*sqrt(13) + 32 Simplify -1 + 2 + sqrt(1216) + 3. 4 + 8*sqrt(19) Simplify (2 + (sqrt(2) + 1)**2)*-4*5. -100 - 40*sqrt(2) Simplify (sqrt(384) - (sqrt(384)*-3 - sqrt(384) - sqrt(384)))/(-5*sqrt(10)/sqrt(5)). -48*sqrt(3)/5 Simplify 5 + -2 + sqrt(1377). 3 + 9*sqrt(17) Simplify (sqrt(154)/sqrt(396))/sqrt(2). sqrt(7)/6 Simplify (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99)*-2))/sqrt(9) - ((sqrt(22)/(-1*sqrt(2)))**2 + sqrt(11)). -11 Simplify 2*(sqrt(20) + -2)*-6. -24*sqrt(5) + 24 Simplify ((sqrt(84) + (sqrt(84) - sqrt(84)*-2))/sqrt(7) - (sqrt(12) - -1*sqrt(12))*5)**2. 432 Simplify sqrt(162) + -1 + (2*sqrt(2))**2*-5. -41 + 9*sqrt(2) Simplify (sqrt(8)/sqrt(4) + -4)*-4 + sqrt(800) + (sqrt(128) - sqrt(8)). 16 + 22*sqrt(2) Simplify (1*sqrt(1620))/(sqrt(9) - sqrt(54)/sqrt(96)). 8*sqrt(5) Simplify sqrt(5103) + (sqrt(5103) + sqrt(5103) + -2 + sqrt(5103) + sqrt(5103))**2 + -3. -405*sqrt(7) + 81649 Simplify (sqrt(85)/sqrt(20))**2 + -4. 1/4 Simplify ((4*1*sqrt(18))/(sqrt(6) - -1*sqrt(54)))**2*3. 9 Simplify (sqrt(22) + sqrt(3168)*1 + sqrt(3168))/sqrt(1100). 5*sqrt(2)/2 Simplify 2*6*(sqrt(76) + sqrt(19) - sqrt(19)). 24*sqrt(19) Simplify -1*((sqrt(1100) + sqrt(1100) + 0)**2 - sqrt(1100)) - sqrt(1100). -4400 Simplify -5*sqrt(68)/sqrt(4)*5 + 4. -25*sqrt(17) + 4 Simplify (sqrt(6)/sqrt(192))**2. 1/32 Simplify sqrt(200) + 2 + sqrt(200) - 1*sqrt(32). 2 + 16*sqrt(2) Simplify ((sqrt(90) - sqrt(90)*2)/sqrt(3) - sqrt(30))/(sqrt(6) + 1*sqrt(600)). -2*sqrt(5)/11 Simplify -5*(2*1*sqrt(88))/sqrt(8). -10*sqrt(11) Simplify ((sqrt(1100) + sqrt(1100)*-2*-5)*2)**2*-1. -532400 Simplify ((4*2*sqrt(190))/((3*sqrt(70))/sqrt(7)))**2. 1216/9 Simplify ((sqrt(119) + 4*1*sqrt(119) + sqrt(119))/(sqrt(28)*1 + sqrt(7)))**2. 68 Simplify (sqrt(102)/sqrt(150) + (sqrt(17) - sqrt(68)/sqrt(100)))**2. 17 Simplify (-5*(sqrt(66) + (3*sqrt(66) - sqrt(66))))/(-5*sqrt(150) + sqrt(6)). 5*sqrt(11)/8 Simplify (4 + -1*sqrt(11) + -2 + 4)**2. -12*sqrt(11) + 47 Simplify sqrt(85)/(sqrt(5) + sqrt(5)*-1 + sqrt(5)) + -3. -3 + sqrt(17) Simplify (-1*-3*sqrt(114))/(2*sqrt(42)/sqrt(7)). 3*sqrt(19)/2 Simplify (1 + sqrt(28))*-4. -8*sqrt(7) - 4 Simplify -4*(-4*sqrt(384))/sqrt(8). 64*sqrt(3) Simplify sqrt(24)/(sqrt(12) - sqrt(12)*-4 - sqrt(12)) - (0 + sqrt(2) + 3 + sqrt(2)). -3 - 7*sqrt(2)/4 Simplify 5 + sqrt(147) + (sqrt(147) + 1 + -3)**2. -21*sqrt(3) + 156 Simplify 5 + (sqrt(19) - (sqrt(19)*3 + -2)). -2*sqrt(19) + 7 Simplify (4 + 0 + sqrt(275) + sqrt(11))*-1. -6*sqrt(11) - 4 Simplify (sqrt(39)/(sqrt(30)/sqrt(10)) + -5)**2. -10*sqrt(13) + 38 Simplify sqrt(684)*-1 - sqrt(171)/(2*sqrt(9)). -13*sqrt(19)/2 Simplify -3*sqrt(432)*-1. 36*sqrt(3) Simplify (sqrt(3328) - (3 + sqrt(3328) + sqrt(3328)))**2. 96*sqrt(13) + 3337 Simplify (sqrt(1700) + 0 + sqrt(1700) + 0 - (sqrt(1700)*2 + -1 - sqrt(1700)))**2. 20*sqrt(17) + 1701 Simplify -1*(-3 + sqrt(12)). -2*sqrt(3) + 3 Simplify -1*(sqrt(19) - (sqrt(19) + -1 + -1))*1 + -2. -4 Simplify -3 + -5*(0 + (-2*sqrt(15))/sqrt(5)). -3 + 10*sqrt(3) Simplify (1*sqrt(540) + sqrt(15))/(-2*sqrt(180)) + -4. -4 - 7*sqrt(3)/12 Simplify (0 + 3 + sqrt(1216))**2. 48*sqrt(19) + 1225 Simplify -1*(3*(sqrt(11) + 4))**2. -243 - 72*sqrt(11) Simplify (4 + sqrt(14)/sqrt(2))**2 + (sqrt(42)/(2*sqrt(6)))**2. 8*sqrt(7) + 99/4 Simplify 5 + 4*sqrt(6)/sqrt(2) + 4*sqrt(9)/sqrt(3). 5 + 8*sqrt(3) Simplify -3*sqrt(3)*3 + sqrt(3) + 5. -8*sqrt(3) + 5 Simplify (4*sqrt(49))/sqrt(7)*6. 24*sqrt(7) Simplify ((sqrt(5)*2*-1 - (sqrt(180) + -1 + sqrt(180)))*-2)**2. -112*sqrt(5) + 3924 Simplify -2 + (sqrt(81)/sqrt(3))**2 + (-6*((sqrt(27) - (sqrt(27) - sqrt(27)*-2)) + sqrt(27) + sqrt(27)))/sqrt(9). 25 Simplify -4 + (sqrt(1216)*-3 - sqrt(1216)) + sqrt(1216). -24*sqrt(19) - 4 Simplify (2 + (sqrt(26)/sqrt(2))**2)*-3. -45 Simplify (-4*(sqrt(76) - -3*sqrt(76) - sqrt(76)))/(2*(-2*sqrt(4) + sqrt(4))). 6*sqrt(19) Simplify sqrt(55)/((-1*sqrt(11) - sqrt(11))*-4 + sqrt(11)). sqrt(5)/9 Simplify (sqrt(78) + (sqrt(78) + sqrt(78) + (sqrt(78) - -5*(sqrt(78) + sqrt(78)*-1 - sqrt(78))) - sqrt(78)))/((sqrt(60)/sqrt(5))/sqrt(2)). -2*sqrt(13) Simplify (6*(-2*sqrt(11)*-4 - -6*(-1 + sqrt(11))))**2. -6048*sqrt(11) + 78912 Simplify (1*sqrt(637))**2*-1 + sqrt(637) + -3 + (sqrt(637) + 1)**2 + -3. -5 + 21*sqrt(13) Simplify sqrt(162)*3 + 3. 3 + 27*sqrt(2) Simplify 3*sqrt(891) + 0 + -5. -5 + 27*sqrt(11) Simplify -6*(sqrt(637)*2 + -1)**2. -15294 + 168*sqrt(13) Simplify (sqrt(95) - -3*(sqrt(95) + (sqrt(95)*-2 - sqrt(95)) - sqrt(95)))/((-1*sqrt(25))/sqrt(5)). 8*sqrt(19) Simplify -1 + sqrt(50) - (sqrt(72) + (sqrt(72) - (sqrt(72) + 0)))**2. -73 + 5*sqrt(2) Simplify (-1*(-1 + sqrt(19)) - (-1 + sqrt(19) + 1)) + (1 + -2*sqrt(19) - (sqrt(76)/(sqrt(12)/sqrt(3)))**2). -4*sqrt(19) - 17 Simplify (sqrt(96)*6)/sqrt(2) + 0. 24*sqrt(3) Simplify (sqrt(91) - -5*(sqrt(91)*2 - sqrt(91)))/(sqrt(7) + sqrt(28)/sqrt(4)*1 + sqrt(7)). 2*sqrt(13) Simplify 1*((sqrt(1900) + -2*sqrt(1900))*4 + 4)**2. -320*sqrt(19) + 30416 Simplify sqrt(10)/sqrt(8) + sqrt(35)/(-1*sqrt(7)). -sqrt(5)/2 Simplify ((sqrt(88)*1*-6 - sqrt(88))/sqrt(8) - (((sqrt(88)/sqrt(4))/sqrt(2) - sqrt(11)) + -1))**2. -14*sqrt(11) + 540 Simplify 5 + 2*sqrt(17)*-2*4. -16*sqrt(17) + 5 Simplify 3 + sqrt(2) + sqrt(200)*-2. -19*sqrt(2) + 3 Simplify -2*(4*1*sqrt(91) + sqrt(91))/sqrt(7). -10*sqrt(13) Simplify sqrt(136)/(-1*sqrt(128) + sqrt(128) - sqrt(128))*-5. 5*sqrt(17)/4 Simplify (-4 + (-1 + sqrt(13) + -3 - sqrt(52)/sqrt(4)*6))**2. 80*sqrt(13) + 389 Simplify ((sqrt(363) + -1 - sqrt(363)) + sqrt(363) + -2 - sqrt(363))**2. 9 Simplify (-5 + -1 + 4 + -1 + sqrt(176))**2. -24*sqrt(11) + 185 Simplify ((sqrt(66) - 2*sqrt(66))/sqrt(6) - (sqrt(396) + 4))**2. 56*sqrt(11) + 555 Simplify sqrt(20)/((sqrt(80)/sqrt(2))/sqrt(4)) + (1 + sqrt(98) - sqrt(98))*1. 1 + sqrt(2) Simplify ((-4 + ((2*sqrt(36))/sqrt(12) - sqrt(3)))*5)**2. -200*sqrt(3) + 475 Simplify 4 + 2 + -1 + sqrt(7). sqrt(7) + 5 Simplify (1*sqrt(1216)*1 + -5)**2. -80*sqrt(19) + 1241 Simplify sqrt(48)/sqrt(4) - (1 + sqrt(48)). -2*sqrt(3) - 1 Simplify (4*sqrt(152)*2)/(sqrt(8) + sqrt(32)*3). 8*sqrt(19)/7 Simplify -4 + ((sqrt(240)/(sqrt(12)*-2))**2 - sqrt(20)). -2*sqrt(5) + 1 Simplify (sqrt(190)*1*2)/sqrt(10)*-6. -12*sqrt(19) Simplify 0 + sqrt(108) + 2 + 0. 2 + 6*sqrt(3) Simplify -2*sqrt(245)*6 - sqrt(245). -91*sqrt(5) Simplify ((sqrt(125) + -5)*-3)**2. -450*sqrt(5) + 1350 Simplify (1 + sqrt(1053) + -1 - (sqrt(1053) + -4*3*sqrt(1053)))**2. 151632 Simplify -1 + -3*((sqrt(704)*3 + sqrt(704))**2 + sqrt(704)) + sqrt(704). -33793 - 16*sqrt(11) Simplify sqrt(448)*-6 + 0. -48*sqrt(7) Simplify sqrt(117)/sqrt(81) + (sqrt(13) - sqrt(13)*1)*3. sqrt(13)/3 Simplify (sqrt(95) - ((3*sqrt(95) - sqrt(95))*-1 + sqrt(95)) - sqrt(95))/sqrt(5). sqrt(19) Simplify sqrt(891) + (-1 + sqrt(891))
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 97 is divided by k? 19 Let q = 914 - 904. What is the remainder when q is divided by 4? 2 Let c = -7810 - -7844. Suppose g = -g + 404. What is the remainder when g is divided by c? 32 Let g be (-14)/49 - ((-432)/14)/3. Suppose g*s - 8*s = 26. What is the remainder when s is divided by 7? 6 Let a = -269 + 291. What is the remainder when 669 is divided by a? 9 Let c(y) = -y**2 + 5*y - 2. Let l be c(1). Let w = l - -89. What is the remainder when w is divided by 19? 15 Calculate the remainder when 11/((-9)/(-6) + (-1020)/696) is divided by 32. 31 What is the remainder when (-7 - (-3 - 3))/(2/(-38)) is divided by (4 - -4) + (1 - -2)? 8 Suppose n + 35 = 6*n. Let c(j) = 0 + 6 - n*j + 2*j + 0. What is the remainder when c(-8) is divided by 16? 14 Calculate the remainder when ((-18)/(-12))/((-18)/(-1428)) is divided by 20. 19 Let x(p) = -p**3 - 24*p**2 - 46*p - 29. What is the remainder when x(-22) is divided by 12? 3 Let w(g) be the first derivative of -g**2/2 + 51*g + 13. Calculate the remainder when w(0) is divided by 13. 12 Suppose -b = 3*b - 5*q + 7, 3*b = 3*q - 6. Let o(h) = -4*h**3 + 8*h + 4. Calculate the remainder when o(b) is divided by 30. 28 Let b(j) = -2*j**3 + 19*j**2 + 11*j + 23. Let x(s) = s**3 - 10*s**2 - 5*s - 12. Let q(m) = 3*b(m) + 5*x(m). Calculate the remainder when 44 is divided by q(8). 8 Let l(c) = 6*c + 7. Let q be l(-7). What is the remainder when 35 is divided by (q + -1)*2/(-4)? 17 Let t(d) = -d**3 + 14*d**2 - 22*d + 32. Calculate the remainder when t(11) is divided by 6. 3 Let x = -7 + -123. Let f = -116 - x. Calculate the remainder when f is divided by 8. 6 Let j(y) = y + 13. What is the remainder when j(-9) is divided by (-110)/(-77) + (-15)/35? 0 Let q = -137 + 266. Calculate the remainder when q is divided by 34. 27 Suppose 2*v = p + 224, 0 = 44*v - 40*v + 2*p - 448. What is the remainder when v is divided by 13? 8 Suppose 13*k - 62 - 42 = 0. What is the remainder when 31 is divided by (-33)/k - 10/(-80) - -11? 3 Let s(p) = p**2 + 23*p + 65. What is the remainder when 383 is divided by s(-3)? 3 Let d(s) = s**3 - 10*s**2 + 40*s + 13. Calculate the remainder when d(6) is divided by 22. 21 Let g be ((-49)/2)/(6/(-24)). Suppose -5*o + g = 2*c, 2*c = 4*c - 4*o - 80. What is the remainder when c is divided by 12? 8 Let q(c) = c**2 - 25*c + 24. What is the remainder when 118 is divided by q(25)? 22 Suppose -w + 15 = 4*t, -3*t = -2*w + 14 + 16. Suppose p - 99 = -2*p. Let c = 25 + p. What is the remainder when c is divided by w? 13 Suppose 2*f - 624 = 12. Suppose 5*w - f = -53. Calculate the remainder when w is divided by -5*14*4/(-20). 11 Let b(n) = 2*n**2 + 2*n - 4. Let q(y) = -y + 3 - 2 + 9 + 10*y + y**2. What is the remainder when b(4) is divided by q(-9)? 6 Let r(q) = 2*q + 36. Let a be r(-13). Suppose 9*t = a*t - 50. Calculate the remainder when t is divided by 26. 24 Let z = 46 - 36. Let g(i) = 2*i**2 - 20*i + 8. Calculate the remainder when 22 is divided by g(z). 6 What is the remainder when 11172/8 + (-6)/4 is divided by 70? 65 Let n be 14/(-6)*(-42 + 0). Let o = n - 91. What is the remainder when 16 is divided by o? 2 Suppose -10 = 5*t, -3*t + 124 = 3*z + 43. Let y = 1102 + -1094. What is the remainder when z is divided by y? 5 Suppose -5*i + 383 = 3*j, 2*i + 16*j = 12*j + 142. Let z = 161 + -106. Suppose 3*y - c = z, -2*y + 9 + 6 = -5*c. Calculate the remainder when i is divided by y. 19 Let d(z) = -2*z**2 + 34*z + 43. Calculate the remainder when 223 is divided by d(16). 73 Calculate the remainder when 1910/18 + 1 + 6/(-54) is divided by 11. 8 Let n be 0/(-1) + (31 - (1 - 0)). Suppose 0 = -2*p - 2*o + n, -4*p + 40 = -2*o - 32. Calculate the remainder when p is divided by 5. 2 Let g = -55 - -59. Suppose 8 = -2*v, 0 = g*r - 3*v + v - 52. Calculate the remainder when 28 is divided by r. 6 Let d = -17 + 41. What is the remainder when (-6 + 24)*(2 - 2/(-4)) is divided by d? 21 Suppose 4*b + 5*l + 745 = 2406, -2*b = 3*l - 831. What is the remainder when b is divided by 32? 30 Suppose 5*j + 4*f + 14 = 74, -24 = -2*j + 4*f. Suppose 5*c - j - 53 = 0. Let m = -251 - -287. Calculate the remainder when m is divided by c. 10 Let b(d) = 9*d**3 - 2*d**2 - 3*d + 4. What is the remainder when 71 is divided by b(1)? 7 Suppose 3*k = -k + v + 318, 3*v - 6 = 0. Calculate the remainder when 234 is divided by k. 74 What is the remainder when 212 is divided by 82/(-697) + 412/34? 8 Suppose 3*u + 10 = u. Calculate the remainder when ((-154)/6)/(u/15) is divided by 16. 13 Suppose -39 + 75 = 4*d. Calculate the remainder when 401 is divided by d. 5 Suppose 4*k = 5*h - 3*h - 20, 2*h - k - 14 = 0. Let q = 37 - 33. Suppose -q*s - 5*y = -15, 5*s - 45 = -y - 0*y. What is the remainder when s is divided by h? 4 Let z(r) = -20*r - 114. Let m(i) = -35*i - 3. Calculate the remainder when m(-3) is divided by z(-7). 24 Suppose 40 = 3*w + 5*f, -2*w - 3*w + 5*f = -40. Let r be (-21)/14*(-4)/6. Calculate the remainder when ((-6)/12)/(-2*r/108) is divided by w. 7 Let k = -20 - -14. Let y = k + 24. Let t = 58 - 53. Calculate the remainder when y is divided by t. 3 Suppose -441 = -24*x + 17*x. What is the remainder when x is divided by 32? 31 Let d = 180 - 177. Calculate the remainder when 4 is divided by d. 1 Suppose 9*m - 4 = 8*m. Suppose -m*y = -5*v - 97, 0 = -5*y + 4*v + v + 115. Suppose k - y = -0. Calculate the remainder when 68 is divided by k. 14 Let z(h) = h**2 + 7*h + 14. Let q be z(-7). Let v = 45 - q. What is the remainder when 61 is divided by v? 30 Suppose 5*m + 72 - 272 = 0. Suppose 36*u - m = 32*u. Calculate the remainder when u is divided by 2*4/(4/2). 2 Suppose 95 = 3*k - 106. Let l = k + 70. What is the remainder when l is divided by 28? 25 Suppose 5*f + 2*j - 34 = 0, -2*f + 5*f - 36 = 4*j. What is the remainder when 13 is divided by f? 5 Let a = -131 - -185. What is the remainder when a is divided by 11? 10 Suppose 3*k = 4*w - 15, 3*k + 0 = -w - 15. Let n(x) = -x + 6*x**2 + 4*x**3 - 6*x**3 + 8 + w*x**2 + 3*x**3. What is the remainder when n(-4) is divided by 15? 14 Let c be (5 - 4)/(0 - (-2)/20). Suppose -2*j + 38 = 5*w, -j + c*w + 32 = 6*w. What is the remainder when 70 is divided by j? 22 Let p = -241 - -331. Calculate the remainder when p is divided by 20. 10 Let l = 50 - 17. Suppose -2*v + 4*v = u - l, 4*u = -5*v + 67. Suppose b - 4*b = -27. What is the remainder when u is divided by b? 5 Let j(g) = -7*g + 235. Calculate the remainder when j(27) is divided by 30. 16 Suppose 78*j - 75*j = 2*g - 8, -2*g - 4*j = -36. What is the remainder when 45 is divided by g? 5 Let a(n) = 338*n**2 + 5*n - 2. Calculate the remainder when a(-1) is divided by 37. 35 Let b = -2719 + 4697. Calculate the remainder when b is divided by 66. 64 Let l = -213 - -246. What is the remainder when 123 is divided by l? 24 What is the remainder when 43 + 2 + 1 + -2 is divided by 23? 21 Suppose 0 = 12*u - 2908 + 940. What is the remainder when u is divided by 62? 40 Let z(k) = -k**2 - 10*k + 1. Let v = 23 - 20. Let d(r) = -2*r**2 - 20*r + 3. Let p(n) = v*d(n) - 5*z(n). Calculate the remainder when 7 is divided by p(-10). 3 Let o(g) = 2*g**2 + g - 339. What is the remainder when (0 - (-32)/2)*2 is divided by o(13)? 8 Let h(l) = l**3 - l + 46. Suppose -2*s + 4 = 0, t + 4*s - 3*s + 19 = 0. Let y = -5 - t. What is the remainder when h(0) is divided by y? 14 Suppose 0 = i + p - 1, 2*p + 3 = 7. Calculate the remainder when (-110)/i + 30/30 is divided by 16. 15 Suppose 4*a - 42 = -3*c + 2*c, 21 = a - 5*c. Let y(g) = g**3 - 5*g**2 + 2*g - 4. Calculate the remainder when a is divided by y(5). 5 Suppose -5*r + y = -10*r + 243, 2*r + 3*y = 92. What is the remainder when 331 is divided by r? 37 Let w = 42 - 34. Let k(u) = 3*u + 2. Let d = 148 + -99. What is the remainder when d is divided by k(w)? 23 Suppose -2*d + 83 - 11 = a, -2*a + 179 = 5*d. Calculate the remainder when 138 is divided by d. 33 Let o(f) = -32*f + 397. What is the remainder when 100 is divided by o(12)? 9 Suppose 4*d + 4*a = 348, 58*d - 2*a + 90 = 59*d. Calculate the remainder when 503 is divided by d. 83 Let n(z) = 3*z**2 - 7*z - 27. Calculate the remainder when n(-7) is divided by 40. 9 Suppose -41*h = -66*h + 3150. Calculate the remainder when h is divided by 43. 40 Let m = -149
{ "pile_set_name": "DM Mathematics" }
Add 608704 and 3.8. 608707.8 Total of -60.3576 and 161. 100.6424 Work out -650852.1 - -0.5. -650851.6 What is the difference between -3.840636 and -13580? 13576.159364 Calculate 21219297 + 3.76. 21219300.76 Put together 682 and -8967557. -8966875 29.37795 - -9 38.37795 Calculate 16 + 768743.523. 768759.523 -124.9 + -225224 -225348.9 What is -85 take away -50.48661? -34.51339 -1000+-10212 -11212 What is 189727 + -130? 189597 Add together 3.5001297 and 0. 3.5001297 Calculate 13 + -3003.883. -2990.883 Calculate 0.0081 - 5391.88. -5391.8719 What is 0.36679999 take away -223? 223.36679999 30.10660784 - -0.5 30.60660784 What is -2008.7684595 minus 0.5? -2009.2684595 Work out 2042314 + 1727. 2044041 Put together -988.2 and -0.1254. -988.3254 Calculate 0.4 - -14972641. 14972641.4 What is -355 less than 74553542? 74553897 Calculate 38.71547 - 7380. -7341.28453 Add 0.1168 and -14.44. -14.3232 Work out -35220 - 22.343. -35242.343 Work out 7.4 - -2025.53. 2032.93 718210183 - -0.24 718210183.24 Add together 130.54999 and 6. 136.54999 What is -0.2 - -4944099982? 4944099981.8 Add together 0.0436 and -6615. -6614.9564 Add 6484.5 and -2789. 3695.5 What is 3142697 take away -1101? 3143798 Subtract -292379 from 3237. 295616 Sum 0.3 and 132.1041. 132.4041 What is -0.069 take away 1.37905? -1.44805 -2448.4811 - 5 -2453.4811 What is -4510211.7 - 3? -4510214.7 52 - 1963018 -1962966 What is 0.06 take away 1.298259? -1.238259 Put together 3232 and 113909. 117141 Add 1135 and -24.2576. 1110.7424 Add together 1001 and -215.6841. 785.3159 -0.0584293 - 0.08006 -0.1384893 Put together 22473 and -390. 22083 Calculate 0.0514 - -4508. 4508.0514 What is -3 minus 1056345817? -1056345820 Subtract 1912 from -4689.7. -6601.7 Sum 0.063547 and -9.3827. -9.319153 Work out 117 - 13553.009. -13436.009 What is 66557460 take away -0.3? 66557460.3 Work out -1529.396 - 29. -1558.396 Work out 1.506728 + -30. -28.493272 What is 0.39 take away 790323.3? -790322.91 What is the difference between 102 and -188836.9? 188938.9 What is 804 take away 0.83608? 803.16392 What is -0.43262 plus 22355? 22354.56738 What is 1.061 - 109930.4? -109929.339 What is 1174.225 plus -42446? -41271.775 Subtract 0.39265539362 from 0.1. -0.29265539362 Work out -0.5066 + -8.248. -8.7546 Put together 0.137 and 337066379. 337066379.137 Total of -149.2 and 861804. 861654.8 What is -7 plus 3492437? 3492430 What is the distance between -105040.7 and -71.09? 104969.61 What is 55204 minus -509? 55713 Total of -4 and -182.8971. -186.8971 Total of -6 and -412185668. -412185674 Sum -2797046 and 0.8. -2797045.2 What is -40.9 + 0.9070726? -39.9929274 What is -700249 minus -1119? -699130 Add -354256 and -7424. -361680 What is -0.7 less than 99366027.9? 99366028.6 What is the difference between 0.624633 and -0.0115? 0.636133 Calculate -5150.53 - 32. -5182.53 Subtract 4 from 35820.524266. 35816.524266 What is 453 plus -2104584? -2104131 What is 742891 + 178? 743069 16402 + 0.0148384 16402.0148384 What is -0.837 + -1411459? -1411459.837 What is -58 less than -1503507611? -1503507553 What is the difference between 472.9 and 270? 202.9 What is -2 less than -37.2432411? -35.2432411 Subtract 26 from -16450738. -16450764 What is 74861 take away 1253.7? 73607.3 What is -0.2 minus 132083562? -132083562.2 Add 441.1 and 1034176.1. 1034617.2 What is -1317803 + -25.717? -1317828.717 What is 0.2 plus -770069.6? -770069.4 Calculate 73579 - 10.2011. 73568.7989 Add -140.9 and 451742. 451601.1 What is -5.33 - 1561476? -1561481.33 26.531444 - 1.979 24.552444 What is -0.6 - -2.08089? 1.48089 -1221+-4.48126 -1225.48126 What is the distance between 0.12 and -19446.01? 19446.13 What is the distance between -0.2637 and -17272630? 17272629.7363 Work out -0.36 - -681.53079. 681.17079 Add together 21730 and 58.782. 21788.782 Subtract 0.04 from -556724705. -556724705.04 What is 0 plus 0.11203645436? 0.11203645436 Put together 14509.6873 and -0.4. 14509.2873 What is 5 less than -831459681? -831459686 What is -1770 + 0.1059079? -1769.8940921 What is -6941.34846 + 3.5? -6937.84846 Calculate 8474 - -515887.1. 524361.1 Subtract -97 from -1.53649. 95.46351 Add 26575145705 and 4. 26575145709 -10072.423 + -0.9 -10073.323 What is 2408538 + -56? 2408482 Work out -493089040 - -0.5. -493089039.5 What is the distance between -19.04 and -18526? 18506.96 0.25968395 + 0.39 0.64968395 Subtract -2.8 from -0.214357. 2.585643 Sum -6 and 1691.8742. 1685.8742 Add together -251.7 and 1210039. 1209787.3 What is 884156 take away -5? 884161 -24358742 - 0.063 -24358742.063 Calculate -62537 + 28657. -33880 Subtract 6429885 from 651. -6429234 Work out -116405726 - -4. -116405722 What is -0.8751 - 280354? -280354.8751 -0.789 + -6672 -6672.789 Put together -10 and -11.88914. -21.88914 What is -6621904.8 minus -0.834? -6621903.966 What is the distance between 12.367669 and -147? 159.367669 Sum -59 and -79287. -79346 Calculate -29740 - -0.02. -29739.98 What is -450 - -42345? 41895 -774737 - 7.96 -774744.96 Subtract 25027 from -15.56. -25042.56 -33 - 3282.97025 -3315.97025 Subtract -6995514 from -0.144. 6995513.856 7.5461 - 1018470 -1018462.4539 Calculate 39 + 3625.51. 3664.51 Add 0.4 and 588763.83. 588764.23 Calculate 837716.1 - 35. 837681.1 Sum -83 and -27508030. -27508113 Subtract -0.5 from -410777766. -410777765.5 Calculate 5 - 11406.07132. -11401.07132 Calculate 2 - -1044802.343. 1044804.343 Add -0.0509 and -165.85. -165.9009 What is 19290109 plus 12? 19290121 Work out -393887 - -2. -393885 Add -1.5691054176 and -0.2. -1.7691054176 Subtract 482 from 117.203. -364.797 Subtract 654238108 from 0.5. -654238107.5 Total of 877841 and -117. 877724 Total of -1141.92526 and -33. -1174.92526 What is 176.17 plus 25363? 25539.17 What is 5 + -314194.148? -314189.148 What is -0.03 - 66655486? -66655486.03 Add together 4 and 1137932912. 1137932916 Add 132883977 and 5. 132883982 Add -69.703 and -6. -75.703 Work out 3124 + -31542. -28418 What is 1 + 21968.234? 21969.234 What is -23733 less than -48? 23685 What is -1240665 - -6178? -1234487 Work out 6304 - -0.1643. 6304.1643 Work out -1875 + -74610. -76485 Work out -513 - 3.3237. -516.3237 Subtract 15036078 from -3. -15036081 Put together -22949 and -3.754687. -22952.754687 6858.98 - -6 6864.98 Add together 117574042 and 0.5. 117574042.5 What is -8 - 6962205? -6962213 -7101246 - 0.1 -7101246.1 -0.2 + 366995.111 366994.911 Put together 100.5195742 and 0. 100.5195742 Put together 0.0497 and -209819361. -209819360.9503 Calculate 29157.793 + 3.89. 29161.683 What is -36 - -48.819679? 12.819679 -5069288 - -0.164 -5069287.836 What is the distance between -107.1289 and 243? 350.1289 Calculate 1856993333 - 27. 1856993306 What is -33342.622 + 0.0472? -33342.5748 What is 0.22448 less than -0.07592? -0.3004 What is -0.144665515 - 10.9? -11.044665515 Subtract 3.33748 from 1. -2.33748 -47.458+-33408 -33455.458 Work out 1.63665 - -0.32. 1.95665 Add -135863 and 3.13. -135859.87 What is -0.2 + -3080.581? -3080.781 -40533+-30 -40563 What is 19405289997 - 0.4? 19405289996.6 Put together -38532 and 1.88. -38530.12 Add together -995.28 and 3862. 2866.72 What is the distance between -1.537 and -32.878? 31.341 Add 0.18111485 and 17. 17.18111485 Calculate 87978 - -79975. 167953 -0.2146856 + -852 -852.2146856 Sum 20908.197 and -0.2. 20907.997 Total of 7436 and 13589. 21025 What is -220033 minus -0.673? -220032.327 What is the distance between 0.22 and 979589067? 979589066.78 Add together 2.05134 and -359. -356.94866 What is the distance between -1103060904 and -6? 1103060898 What is the difference between -91290 and -23.33? 91266.67 What is 324126 minus 0.04? 324125.96 Work out 0.6439769 - 13. -12.3560231 Total of 0.07895015 and 8.4. 8.47895015 Add together -3 and -83583.54314. -83586.54314 Add 119360.2 and 545. 119905.2 What is 5842384 + -1? 5842383 Add together -69657 and 53.295. -69603.705 Work out 34537018 + -0.04. 34537017.96 Work out 0.23 - 111.89. -111.66 What is 0.8 minus -0.4082022? 1.2082022 What is -1078 - -355527.42? 354449.42 0.004401534 - 8 -7.995598466 Work out 0.19103 - 0.05766. 0.13337 What is the difference between 43184 and -3.209? 43187.209 Calculate 3250694 - 106. 3250588 -985 - 60382 -61367 What is 54.59 take away -111177.5? 111232.09 What is the diffe
{ "pile_set_name": "DM Mathematics" }
12. 158032 What is the common denominator of 11/575 and 101/356960? 1784800 What is the lowest common multiple of 98188 and 12? 294564 Find the common denominator of 22/9 and -47/2640304. 23762736 Calculate the lowest common multiple of 21294 and 52. 42588 Calculate the lowest common multiple of 2 and 152737. 305474 What is the common denominator of -109/273328 and 45/1804? 11206448 Calculate the lowest common multiple of 46 and 38888. 894424 What is the smallest common multiple of 169 and 3096? 523224 Calculate the common denominator of -17/10304 and -79/324. 834624 What is the smallest common multiple of 9279 and 2062? 18558 What is the common denominator of -32/1797 and -53/5990? 17970 What is the common denominator of -49/10656 and 29/31968? 31968 What is the common denominator of 19/449896 and 20/56237? 449896 Calculate the common denominator of 41/10810 and 61/490774. 2453870 Calculate the common denominator of 169/130116 and 3/472. 15353688 What is the common denominator of 17/6951 and 1/245271? 1716897 What is the lowest common multiple of 63 and 89457? 1878597 Find the common denominator of -113/2360 and -27/950. 224200 Calculate the least common multiple of 20865 and 6955. 20865 Find the common denominator of 97/51584 and 25/4. 51584 Find the common denominator of 7/51210 and -56/75. 256050 Calculate the least common multiple of 59375 and 47500. 237500 Calculate the least common multiple of 7392 and 139216. 835296 Calculate the smallest common multiple of 24 and 20420. 122520 Calculate the common denominator of -93/16556 and 63/52. 215228 What is the lowest common multiple of 68 and 433204? 7364468 What is the least common multiple of 54 and 100032? 900288 Find the common denominator of 34/15 and -41/3876. 19380 Calculate the lowest common multiple of 37160 and 18580. 37160 What is the least common multiple of 1947 and 11682? 11682 What is the lowest common multiple of 29 and 6161? 178669 Find the common denominator of -55/714 and 101/22440. 157080 What is the common denominator of 26/4393 and -43/15134? 2890594 What is the lowest common multiple of 118986 and 118986? 118986 Find the common denominator of -123/550 and 19/38600. 424600 Find the common denominator of 83/20 and 113/595236. 2976180 What is the common denominator of 19/62204 and 11/31102? 62204 Find the common denominator of 55/99736 and 95/1638. 897624 Calculate the common denominator of -19/58080 and -35/156816. 1568160 Find the common denominator of 81/3316 and -49/5032. 4171528 What is the least common multiple of 76128 and 13? 76128 What is the least common multiple of 379372 and 102? 1138116 Calculate the least common multiple of 1530 and 674475. 4046850 Calculate the common denominator of -7/47147 and 4. 47147 Calculate the smallest common multiple of 8025 and 963. 24075 What is the common denominator of 109/12 and 41/3860? 11580 What is the common denominator of 67/27768 and -107/1068? 27768 Calculate the common denominator of -93/52 and 167/30624. 398112 Find the common denominator of 137/78408 and -67/392040. 392040 Calculate the common denominator of 49/90 and -109/2074410. 2074410 What is the common denominator of 33/14 and -61/531736? 3722152 Find the common denominator of -11/978540 and 89/4. 978540 Find the common denominator of 47/594 and 95/88. 2376 What is the common denominator of -47/85 and -62/555? 9435 Calculate the smallest common multiple of 1830 and 101931. 1019310 Calculate the smallest common multiple of 414807 and 9. 1244421 Calculate the common denominator of 121/10 and 7/1343. 13430 Calculate the lowest common multiple of 1792 and 94. 84224 Calculate the common denominator of 137/108 and -43/5940. 5940 Calculate the least common multiple of 31 and 93. 93 Calculate the common denominator of 9/41624 and -97/4816. 582736 What is the common denominator of -53/99 and 41/230085? 2530935 Find the common denominator of -47/30 and 22/93981. 939810 Calculate the least common multiple of 7497 and 57222. 2803878 Calculate the common denominator of 121/10280 and 91/12. 30840 Calculate the lowest common multiple of 200440 and 80176. 400880 Find the common denominator of 7/264 and 19/1591128. 1591128 What is the smallest common multiple of 5530 and 380? 210140 Calculate the common denominator of 89/15072 and -25/6594. 105504 What is the least common multiple of 1437 and 3353? 10059 Find the common denominator of 8/387225 and -76/225. 387225 Calculate the least common multiple of 214032 and 2912. 428064 What is the lowest common multiple of 4334 and 14184? 156024 What is the lowest common multiple of 9360 and 69030? 552240 Calculate the common denominator of -1/6881 and -11/3932. 27524 What is the smallest common multiple of 20 and 825342? 8253420 Find the common denominator of 51/92930 and -53/5. 92930 What is the least common multiple of 252076 and 10447? 7814356 Calculate the least common multiple of 4404 and 44774. 268644 Calculate the common denominator of -197/154350 and 113/31500. 1543500 Find the common denominator of -6/22925 and -3/32095. 160475 Calculate the common denominator of 83/36 and -107/46928. 422352 What is the smallest common multiple of 66 and 34360? 1133880 What is the common denominator of 93/10 and -39/70? 70 Find the common denominator of 13/15 and -49/10355. 31065 Calculate the common denominator of 39/362 and 49/6516. 6516 Find the common denominator of 107/3192 and -55/182. 41496 Calculate the lowest common multiple of 131104 and 238. 917728 What is the smallest common multiple of 111996 and 204? 111996 What is the common denominator of 5/13779 and -109/10? 137790 What is the smallest common multiple of 17178 and 70? 85890 What is the lowest common multiple of 220 and 26312? 131560 Calculate the least common multiple of 1728 and 42240. 380160 Find the common denominator of -55/219 and 3/19564. 58692 Calculate the least common multiple of 1685 and 1348. 6740 Calculate the least common multiple of 1292 and 89775. 6104700 What is the least common multiple of 51648 and 168? 361536 What is the common denominator of -121/461448 and 47/5916? 461448 What is the smallest common multiple of 28716 and 2? 28716 What is the common denominator of -7/376878 and 25/439691? 2638146 What is the common denominator of -19/22 and 65/764084? 8404924 What is the common denominator of 113/4980 and 7/631962? 6319620 Calculate the smallest common multiple of 27 and 456075. 1368225 Calculate the least common multiple of 548 and 11234. 22468 What is the common denominator of 19/20 and -47/9500? 9500 Calculate the smallest common multiple of 16 and 23886. 191088 Calculate the smallest common multiple of 11990 and 4. 23980 Find the common denominator of -29/85536 and 83/213840. 427680 What is the lowest common multiple of 30786 and 57? 584934 Calculate the common denominator of 79/1528 and 31/392. 74872 Find the common denominator of -95/11814 and 83/22. 11814 Find the common denominator of 149/270 and -73/900. 2700 What is the smallest common multiple of 47604 and 280? 3332280 What is the common denominator of -47/34892 and -107/6710? 174460 Calculate the common denominator of 9/45011 and 14/21321. 405099 Calculate the common denominator of 2/12177 and -89/678. 2752002 Calculate the least common multiple of 45876 and 137628. 137628 What is the common denominator of 111/141890 and 23/350? 709450 Calculate the common denominator of -28/1605 and 76/139635. 139635 What is the common denominator of -109/364 and -75/10808? 140504 Calculate the least common multiple of 441885 and 662. 883770 Calculate the common denominator of -11/325 and 11/1295. 84175 Find the common denominator of -39/7 and -10/35627. 249389 Find the common denominator of -47/744 and 7/1488. 1488 What is the lowest common multiple of 1029 and 2352? 16464 Calculate the smallest common multiple of 7 and 73046. 511322 Find the common denominator of 139/6894 and 29/3. 6894 Calculate the smallest common multiple of 770 and 11914. 655270 Find the common denominator of -22/3555 and 89/2610. 206190 Calculate the least common multiple of 3198 and 11388. 466908 Calculate the lowest common multiple of 1053 and 40014. 40014 What is the common denominator of 63/2116 and 1/496? 262384 What is the lowest
{ "pile_set_name": "DM Mathematics" }
7 a composite number? False Is 1068316423 prime? True Is 263110386889 composite? True Is 824110201 prime? True Is 70729871 a composite number? False Is 2482245763 a prime number? False Is 2372765687 composite? True Is 35726893753 prime? False Is 730671101 a prime number? False Is 72972457 a prime number? True Is 4886502567 a composite number? True Is 5591769 composite? True Is 6162223407 prime? False Is 18041568679 a prime number? True Is 20130819677 composite? False Is 16476803023 prime? True Is 222832601 composite? True Is 9933256603 prime? True Is 156131902021 a composite number? False Is 1927039099 a composite number? True Is 16610190251 prime? True Is 3948649 a composite number? True Is 14189884697 a prime number? False Is 354439049 composite? False Is 5099707001 composite? False Is 4845039053 composite? True Is 430952551 prime? False Is 7976720033 a prime number? True Is 5629119799 composite? True Is 10282227377 composite? True Is 6199087593 composite? True Is 6667610743 prime? False Is 1852681979 composite? False Is 38178873409 composite? False Is 113486385895 prime? False Is 8005307899 prime? False Is 2999199547 a composite number? True Is 1320196403 composite? False Is 22389354077 prime? False Is 587206589 a prime number? True Is 4352643817 a composite number? False Is 8507274123 a composite number? True Is 4059417313 a composite number? True Is 46723800209 a composite number? True Is 3243729943 a composite number? False Is 117306477191 a prime number? False Is 8819556359 prime? True Is 331897703 composite? True Is 3249917233 a prime number? True Is 11143608277 composite? False Is 435223955 a prime number? False Is 28531420201 composite? False Is 17728745351 a prime number? True Is 50864563537 composite? True Is 65734237573 prime? True Is 104082942751 a prime number? False Is 856822943 a prime number? True Is 356525227 composite? False Is 3126673481 a composite number? False Is 31586160341 composite? True Is 16744208597 a composite number? False Is 85636915339 a prime number? False Is 1945957681 composite? True Is 9629340377 prime? False Is 4745910577 prime? True Is 2002196237 a prime number? False Is 46363685171 composite? False Is 36995254883 composite? False Is 9133484441 a prime number? False Is 24554018861 a composite number? True Is 5402959483 a composite number? False Is 32480409147 a composite number? True Is 3299230909 a prime number? False Is 164297016739 prime? False Is 64508971313 a prime number? True Is 15555925687 a composite number? True Is 3597006013 composite? True Is 532530421 prime? False Is 267973613 composite? False Is 81358213439 a prime number? True Is 41909745623 a composite number? True Is 33962656709 composite? True Is 85536479 composite? True Is 127705130321 prime? True Is 3822139 a composite number? False Is 7209589627 a prime number? True Is 1242030047 prime? False Is 11410323307 composite? True Is 995011289 a composite number? True Is 31427751457 prime? True Is 252134027 composite? True Is 24727436119 a prime number? False Is 30531624157 composite? False Is 1163876171 prime? True Is 10435135679 a prime number? False Is 3309903083 a composite number? True Is 35416628443 a prime number? False Is 11287441879 prime? False Is 5282916319 a composite number? False Is 6582257051 a prime number? True Is 16960520567 a composite number? True Is 4318898 a prime number? False Is 33930380021 a composite number? False Is 9162860737 a composite number? False Is 30701759091 composite? True Is 23247510581 prime? True Is 1893086729 a composite number? False Is 93956227091 a composite number? True Is 32298329431 a composite number? False Is 2235694849 composite? True Is 120596571817 a prime number? True Is 2646788117 prime? True Is 329646943 a prime number? True Is 4084642831 prime? False Is 16705488713 a prime number? False Is 18048689203 a composite number? True Is 14204864251 a prime number? True Is 1296980771 a composite number? False Is 139912020239 composite? True Is 10378902883 prime? False Is 10983072259 prime? True Is 71907311 prime? False Is 16269757151 composite? True Is 281022145 a composite number? True Is 2292227783 prime? True Is 1375178957 prime? True Is 64105976377 a composite number? True Is 114133571003 composite? False Is 8503229969 a composite number? True Is 71079477269 composite? False Is 330183389 composite? True Is 4372330661 composite? False Is 94242636659 a prime number? True Is 837391927 prime? False Is 47313860821 a prime number? True Is 22534547 prime? False Is 6793626485 a composite number? True Is 253221641437 prime? True Is 11712908771 prime? True Is 84676223 composite? True Is 178890664541 prime? False Is 39686382917 prime? True Is 2178386983 prime? False Is 435841939517 prime? True Is 18784226261 a prime number? False Is 879853357 prime? False Is 1154066429 composite? False Is 1075926307 prime? False Is 6593220497 a composite number? True Is 160652537 prime? True Is 18841744195 a prime number? False Is 2871979273 a composite number? False Is 4678894291 prime? False Is 60779333891 composite? False Is 132655550897 a prime number? True Is 68067831191 a prime number? True Is 3400370751 a prime number? False Is 211301465257 composite? True Is 4695037601 prime? False Is 6045952021 composite? False Is 189409823 a prime number? True Is 4317900247 prime? True Is 1793181613 composite? False Is 4136022227 composite? False Is 5906182873 prime? True Is 478120127 a composite number? False Is 3465908183 composite? True Is 887192623 a composite number? True Is 19250280857 prime? False Is 14554228511 composite? True Is 53209288381 a prime number? False Is 51187128703 a composite number? True Is 174542188703 a prime number? True Is 3070452849 a composite number? True Is 635695987 composite? False Is 177159379 composite? False Is 23034936649 composite? True Is 1361356831 composite? True Is 1721617483 prime? True Is 37953622451 prime? True Is 4411803169 a composite number? False Is 5719416977 prime? True Is 1807364717 composite? False Is 32231193541 composite? False Is 308152361 a composite number? True Is 5781700313 composite? True Is 809721193 composite? False Is 11452443421 prime? True Is 2350440551 composite? False Is 31895354795 prime? False Is 63079273 prime? True Is 192419587 a prime number? False Is 213312839 composite? False Is 12602963 composite? True Is 384342779 a prime number? True Is 2070723871 a prime number? True Is 1238900947 a prime number? False Is 2250508103 a composite number? True Is 5399884817 a prime number? True Is 988422145 prime? False Is 16419076789 a prime number? True Is 14331121061 prime? True Is 23049637847 composite? True Is 10254517583 a prime number? False Is 29977321063 a prime number? True Is 144526366871 a composite number? False Is 5481550741 a composite number? False Is 15247333823 prime? True Is 1434111173 prime? False Is 32001396865 composite? True Is 608048528377 a prime number? True Is 216462181987 composite? True Is 264255350383 a prime number? False Is 2306872777 prime? False Is 17060974219 a composite number? True Is 1578886 prime? False Is 137665049 a composite number? True Is 70134449003 a prime number? True Is 24793956947 a composite number? False Is 1642501703 composite? True Is 144285252149 a prime number? False Is 32586803 a prime number? False Is 9660931429 a prime number? True Is 525834689 a prime number? False Is 100747508539 composite? False Is 461168221 composite? True Is 69374096197 a composite number? True Is 2269581229 a composite number? True Is 39509362381 a prime number? False Is 161105639 prime? False Is 4985451349 prime? True Is 14956969607 a prime number? True Is 27259339 prime? True Is 43923566579 prime? True Is 17181429091 prime? True Is 2905352851 a composite number? False Is 37430244373 a prime number? True Is 56695456217 a prime number? False Is 2661132493 prime? True Is 48097477657 composite? False Is 39618926471 prime? True Is 2562455491 prime? False Is 20315472853 a prime number? False Is 2117058287 composite? False Is 27345515819 prime? True Is 7604573439 a composite number? True Is 63453743 a composite number? False Is 1750480535 a prime number? False Is 4332762457 a composite number? False Is 519388637 composite? True Is 3390617
{ "pile_set_name": "DM Mathematics" }
2 - 5 - 1 - 2*a**2 + 1 + (-2*a + 4*a - 3*a)*(1 - 1 + 2*a) to j + r*a**2 + k*a and give r. -4536 Rearrange (2 + 3*a + 17*a**2 - 12*a**2 - 6*a**2)*(2 - 5 - 1)*(2 - 2 + 1) to s + k*a**2 + d*a and give k. 4 Express 171*u - 208*u - 289*u in the form f + j*u and give f. 0 Rearrange -114*u**2 + 1 + 196*u**2 + 211*u**2 + 262*u**2 to x*u**2 + v*u + f and give f. 1 Rearrange (-2*l + 0 + 0)*(3 + 2*l - 3) + 661*l**2 + 102*l**2 - 1096*l**2 - 2259*l**2 to f + h*l + c*l**2 and give c. -2596 Rearrange -f**4 - 2*f**2 - 11*f**3 - 4 + 2*f**2 + 0*f**2 - 2*f to u*f**2 + d*f + b + l*f**4 + g*f**3 and give d. -2 Express -o + 4*o - 2*o + 0 + 0 - 4*o + (-3 - 1 + 2)*(-2*o + 3*o + o) - 1 - o + 1 - 2 + 2 + 2*o + 0 - 5*o + 0 in the form h*o + x and give h. -11 Rearrange (-6 + 10 + 13)*(0*x + 0*x + 2*x)*(-11 - 2*x**3 + 11) to s + b*x**2 + n*x**4 + r*x + y*x**3 and give n. -68 Rearrange (0 + 0 + 2*i)*(0*i + 0*i + i) + (8 - 8 - 5*i)*(-41*i + 20*i + 12*i) + 4*i**2 - 4*i**2 - 2*i**2 to z*i**2 + m*i + p and give p. 0 Rearrange -9*k**3 + 0*k**2 + 2*k**2 + 23*k**3 + 10*k**2 + 2*k**2 to y*k + p*k**3 + q + t*k**2 and give t. 14 Rearrange 701*h + 455*h - 283*h + 66*h + 524*h to q*h + r and give q. 1463 Express (-1697 - 448 - 1027 - 942)*(2*a + 1 - 1) in the form j*a + v and give j. -8228 Express -10*u**3 + 186582*u + 2*u**3 - 186587*u + 4 in the form y + s*u**3 + c*u**2 + h*u and give h. -5 Express 14*n**3 + 14 - 14 + (2*n + 3*n - 7*n)*(2*n**2 + 2*n**2 + n**2) in the form p + o*n**3 + v*n + h*n**2 and give o. 4 Express 94*o - 23*o - 69*o - 877 as t*o + m and give t. 2 Express -223*x - 274*x**3 + 223*x + (2*x + 0*x + 0*x)*(-2*x**2 - 1 + 1) - 4*x**3 - 4*x**3 + 6*x**3 + 2*x as y*x**2 + f*x**3 + r + p*x and give p. 2 Rearrange 16*t**3 - t**3 - 2 - 22*t + 17*t + 5*t**3 to p + s*t**2 + k*t + q*t**3 and give q. 20 Rearrange 19 - 30*x + 14 + 13 - 47 to z + h*x and give h. -30 Rearrange z - 12 + 70 - 38 to k + j*z and give j. 1 Rearrange ((1 + 9 + 1)*(2 + 4 + 0) - 1 - 5 + 0)*(-3*j + 2 - 2) to n*j + i and give n. -180 Express (d + 3*d - d)*(308 - 53 + 124 - 132 + 339) in the form x*d + t and give x. 1758 Express -3*c**2 - 5*c**2 + 3*c**2 + (3*c - 6*c + c)*(-11 + 11 - 18*c) as q*c + x + h*c**2 and give h. 31 Express (1 - 1 - 3)*(2*q - q + 0*q) - 6*q - q + 5*q - 4*q + 3*q - 2*q + (-2*q + 2*q + 2*q)*(3 + 1 - 2) + 2*q - 2*q - 8*q - q + 3 - 3 as s*q + a and give s. -13 Rearrange 3*n**3 - n**3 - n**3 + (0*n + 2*n - 3*n)*(-35*n**2 + 5*n**2 - 4*n**2) to w*n**2 + h + f*n**3 + q*n and give f. 35 Express (0*b**2 + 2*b**2 + 0*b**2)*(0 + 1 - 4) + (68*b - 64*b + 230*b)*(3*b - 2*b + 0*b) in the form y*b**2 + l*b + h and give y. 228 Rearrange (14*n**3 + 13*n**3 + 0*n**3)*(11 - 11 - 39) to q + u*n + y*n**2 + g*n**3 and give g. -1053 Express (-2*c - 16*c - 7*c)*(14 - 3*c - 14 + (4 + 1 + 0)*(-3 + 3 - 2*c)) in the form l + o*c + s*c**2 and give s. 325 Express (-l + 4*l - l)*(-218*l - 180*l - 9*l - 167*l) as i*l**2 + z*l + t and give i. -1148 Express -3*n**2 - 13*n**2 + 18 - 34 - 10*n**2 + 14 as m*n**2 + s + j*n and give s. -2 Rearrange (1 - 1 - 2)*(-2*c**2 - 3*c**2 + c**2) + 86*c**2 + 97*c - 197*c + 2 + 99*c to the form x + d*c + v*c**2 and give x. 2 Express -16*p**2 + 4583*p + p**4 + 8*p**3 - 2 - 4583*p as z*p**2 + s*p**3 + n + q*p + i*p**4 and give n. -2 Rearrange -18 - 9 + 27 - 488*w to the form p + h*w and give h. -488 Rearrange -3*v**2 + 13*v**3 - 754135*v + 10*v**2 + 754133*v to the form o*v**3 + t*v**2 + h*v + m and give o. 13 Rearrange (-3 - 5 - 1 + (-1 + 5 + 1)*(-5 + 6 + 5))*(-f**3 - 3*f**2 + 3*f**2) to the form x*f**2 + r*f**3 + n + t*f and give r. -21 Rearrange -2 + 2*k**2 + 2*k + 232*k**4 - 234*k**4 + 5 to f*k**3 + v + p*k**4 + r*k**2 + z*k and give z. 2 Express -38*z**4 + 42*z**4 + 0*z - z + 0*z + 3 in the form y + k*z + n*z**4 + c*z**2 + d*z**3 and give k. -1 Express 3*h**2 - 6*h**3 + 3*h**3 + 20 - 3*h - 20 as i*h**3 + w + l*h + x*h**2 and give l. -3 Express (-9 + 11 + 8)*(2*t - t + t)*(1 + 3 - 1)*(-45 - 4*t + 45) as a*t**2 + g + f*t and give a. -240 Rearrange 0*a - 6*a + 0*a + (-4 + 4 - 1)*(-1 + 2 + 2)*(-a + a - 3*a) to o + r*a and give o. 0 Rearrange -13*u**2 + 3*u**2 + 15*u**2 to the form o + v*u + s*u**2 and give s. 5 Rearrange 618*k - 2325*k - 1 - 1 + 2 to the form t*k + p and give t. -1707 Rearrange -289 + 146 - 4*u**3 + 141 - 10*u**2 to l*u**3 + s*u**2 + q + c*u and give l. -4 Rearrange (-58 - 19 + 9)*(-3 + 5 - 4)*(-1 - 1 - 5 + i) to s + v*i and give s. -952 Express (22*t - 40 + 40)*(3*t**2 + 19 + t + 2 - 7) as v*t**2 + f*t**3 + d*t + s and give d. 308 Rearrange 1 + 2*k + 25*k**3 - 19*k**4 - 64*k**3 + 3*k**2 + 39*k**3 to the form x*k + z*k**2 + f*k**4 + j*k**3 + p and give x. 2 Express 3*j + 143 + 0*j - 6*j + 5*j - 42 in the form w*j + p and give p. 101 Rearrange (0 + 2 + 1)*(34*s**2 + 21*s**2 - 74*s**2 + (0*s + s - 3*s)*(0*s + 0*s + 2*s) - 5*s**2 + 0*s**2 + 4*s**2) to f*s**2 + t + o*s and give o. 0 Express (-16*u**2 + 27*u**2 - 3*u + 27*u**2 + 2)*(-u**2 - 2*u**2 + u**2) in the form j*u**3 + v*u**2 + y + k*u + z*u**4 and give j. 6 Express 4*f - f + 0*f + f + f - f + (0 + 2 + 1)*(0 - f + 0) - 7*f + 3*f - 12*f in the form l*f + m and give l. -15 Rearrange -263*p**2 + 560*p - 274*p - 283*p to n*p**2 + l*p + w and give l. 3 Express l + 14 - 14 + (0*l - 2*l + l)*(-3 + 0 + 4)*(-137 + 266 - 44) in the form o + k*l and give o. 0 Express 3*p + 0*p - 3*p - 6 + 0*p - 4*p**3 as a*p**2 + w + u*p**3 + v*p and give u. -4 Rearrange -18*n + 48*n + 8 - 23*n to v + q*n and give v. 8 Express (-2*k**4 - 4*k**3 + 4*k**3)*(-2 + 2 - 2) + 361*k**4 - 175*k**4 + 14*k**2 - 173*k**4 as n*k**3 + h + s*k**4 + y*k + x*k**2 and give x. 14 Rearrange -2 - 197*h**4 + 8*h**4 + h**3 + 2*h**2 - 4*h**2 - h**3 + h to the form l*h + q + j*h**2 + p*h**3 + o*h**4 and give j. -2 Rearrange (3*q + 0*q - 4*q)*(-5 + 0 + 3) - 267699*q + 283851*q - 11 + 4 + 7 to a + l*q and give l. 16154 Rearrange -2257 + 1166 - a**3 + 2*a**2 + 1131 to the form j*a + k*a**2 + m + c*a**3 and give k. 2 Express 0 - 1134*v - 2 + 1016*v in the form q*v + u and give q. -118 Express (-5 + 5 + 3*p)*(-4 - 1 + 3) + 19 - p - 19 + (-5*p + 2*p + 4*p)*(-2 + 2 + 2) as h*p + q and give h. -5 Express -2*v**3 - 5 - 2*v**2 + 4*v + 0*v**3 - 9*v + v + 6*v as p*v**3 + j + c*v**2 + w*v and give p. -2 Express 181 + 180 - 361 + 36*h as x + s*h and give s. 36 Express -282*q**4 - 2 + 7*q**3 - 7*q**2 + 142*q**4 + 141*q**4 as g*q**2 + v*q + c*q**4 + y*q**3 + j and give g. -7 Express (-1 + 1 - o)*(2 - 1 + 2 + (-1 - 3 - 3)*(16 - 2 - 1)*(0 - 2 + 1)*(2 - 2 - 1)) in the form l*o + c and give l. 88 Rearrange 4 - 20*q + 8*q + 15*q - 3*q**3 to j + r*q**2 + x*q**3 + t*q and give j. 4 Rearrange 308*w + 3 - w**3 - w**3 - 154*w - 154*w + 184*w**2 to the form z + u*w**3 + m*w**2 + p*w and give u. -2 Express 18*q**4 - 51 - 2*q**2 + 51 + 3*q**3 + (4*q + 7*q - q)*(-2*q + 2*q - q)*(-2*q**2 - q**2 + 2*q**2) as h*q**3 + v*q + j*q**4 + n + a*q**2 and give j. 28 Rearrange 11*k - 2*k**3 - k + k**3 - 165*k**4 + 160*k**4 - 1 to the form l*k + d*k**3 + j + z*k**4 + y*k**2 and give j. -1 Rearrange -r + 3 + r**2 + 11*r**3 - 1 - 11*r**3 - 5*r**3 + 3 - 2*r**4 to t*r**3 + y*r + h*r**4 + c + n*r**2 and give c. 5 Rearrange (-8*i**2 - 6*i**3 + 8*i**2)*(13*i + 63*i - 20*i)*(-2 - 1 + 5) to the form c + w*i**2 + s*i + j*i**3 + h*i**4 and give h. -672 Rearrange 169 - 517 + 75*p + 2*p**2 + 173 + 178 to the form q*p + h + m*p**2 and give m. 2 Rearrange -2*q**2 - 9*q - 2*q**3 + 5*q**3 + 32 - 2*q**3 - 30 - 3*q**3 to the form f*q + k*q**2 + w*q**3 + t and give t. 2 Express (2*m - 8*m - 13*m)*(4 - 3 + 4) + 130 + 4*m - 130 in the form u + r*m and give r. -91 Express -16134*k**4 + 16135*k**4 - 1 + 4*k**3 - k - 13*k in the form o + n*k**3 + d*k**4 + x*k**2 + a*k and give a. -14 Express -x**2 + 11*x**4 - 4 + 2*x + 3 + 39*x**4 + 19*x**4 - 7*x**4 as i*x**4 + o*x + u + m*x**2 + q*x**3 and give m. -1 Rearrange (3 + 3 + 21)*(11*n**2 - 62*n + 62*n) to the form h*n**2 + u*n + z and give h. 297 Rearrange (4 - 6 + 4)*(10 + 4 + 12)*(-267 - 6*v + 267) to the form y*v + w and give y. -312 Express 134*f**4 - 4*f**3 + 2*f**2 - 5*f - 5 + 128*f**4 - 390*f**4 + 127*f**4 in the form a + u*f**4 + g*f**3 + b*f + z*f**2 and give u. -1 Express -2 - 61*i**3 + 2*i - 68*i**3 + 5*i**2 + 118*i**3 - 2*i**2 in the form l + f*i + b*i**3 + v*i**2 and give f.
{ "pile_set_name": "DM Mathematics" }
mmon denominator of 74/9 and ((217/(-36))/31)/(2/8). 9 Suppose -7*h = -8*h + 24. Suppose -4*s + h = 4. What is the lowest common multiple of 6 and s? 30 Suppose j + 1 = 12. Suppose 53 = -4*t + w, -3*t = w + 4*w + j. What is the smallest common multiple of 6 and -4*9/t - -19? 66 Let m(l) = -l - 11. Let h be m(-15). Suppose 9 = -5*w - 6, -h*w = -5*f + 102. What is the lowest common multiple of 22 and f? 198 Let o = -9/898 + -10484/6735. Find the common denominator of 46/9 and o. 90 Let t = 693 + -691. Suppose m = 3*r - 51, 2*r - m - 23 = -4*m. What is the lowest common multiple of t and r? 16 Let n = 1/5535 + -190039/22140. Let g = -179167/14 - -12790. What is the common denominator of n and g? 84 Let t(b) = -b**2 - 14*b - 41. Calculate the smallest common multiple of 22 and t(-9). 44 Let d = -2785611/92 - -30278. What is the common denominator of d and 47/16? 368 Let t(p) = -p**3 - 15*p**2 - 16*p - 23. What is the lowest common multiple of 70 and t(-14)? 70 Calculate the common denominator of -29/28 and (-969)/68 + (-5 - -2). 28 Let v = -133 - -134. Calculate the least common multiple of v and 5. 5 What is the smallest common multiple of 16 and (-10 + 21/2)*(3 - 1)? 16 Let q = 20 + -17. What is the common denominator of (126/(-24)*22/q)/(-10) and -51/20? 20 Let r be 69 + (21/6)/7*6. Suppose -104 = -c - r. What is the lowest common multiple of c and 22? 352 Let c = 3 + 2. Suppose 7*n = 4*n + 18. What is the smallest common multiple of c and n? 30 Let h = -776 + 798. What is the least common multiple of h and 1432? 15752 Suppose -2*s = -8, 0*i = -5*i + 2*s - 1128. What is the least common multiple of (i/(-70))/((-4)/(-10)) and 18? 72 Suppose -2*u - 2*u = -448. Suppose 0 = -5*n + q + 3*q + 166, 2*q = -4*n + u. Let m = 46 - n. What is the lowest common multiple of 8 and m? 16 Let h = -93 + 68. Let k = h + 20. Find the common denominator of k and 1/6. 6 Suppose 0 = -k - 3*k + 2*k. Calculate the smallest common multiple of 18 - (1 + k) - 5 and 28. 84 Suppose 4*b = -3*i + 10, 2*i = i + 4*b + 30. Let c(j) = j + 8. Calculate the smallest common multiple of c(-7) and i. 10 What is the common denominator of (3/(-4))/3*(-2752)/112 and -23/100? 700 Find the common denominator of 20/(-9)*(-50)/16800 and -43/4. 756 Let a(d) = -3*d**2 + d. Let l be a(3). Let t be (l - 1)/(5/(-985)). Let h = 88567/18 - t. Find the common denominator of h and -53/12. 36 Let p = -43 - -25. What is the common denominator of 116/10*(6 - (-78)/p) and -7/6? 6 Let a be (-7 - -7) + (-67822)/(-18). Let z = a + -3774. Find the common denominator of 13/5 and z. 45 What is the common denominator of ((-1043)/35)/((96/(-10))/4) and 49/60? 60 Let l = 27293/8 - 3407. What is the common denominator of l and 13/8? 8 Let a be 0*-2*(-4)/16. Suppose a*s = -4*s - 696. Find the common denominator of 0 - (s/(-16) - 0) and 125/6. 24 Let a be 4/2 - (-1 + -19). Suppose -t + a = -2*p, 8*t = 3*t - 5*p + 80. Let k = 118 + -100. What is the least common multiple of t and k? 18 Let y = 20 + -2. What is the common denominator of 90/(-14)*y/27 and (-885)/(-20)*(-2)/(-3)? 14 Suppose -23*g = -21*g. Suppose 3*u = -2*s + 96, -s = -g*s. Calculate the least common multiple of 9 and u. 288 Suppose 0 = -2*z + 53 - 15. Let a = -73 - -186. Suppose 0 = 6*b - z - a. Calculate the smallest common multiple of 4 and b. 44 Let g be 9/6 - 2/(-4). Suppose 2*h - 11 = 5*h - 5*b, -4*h - b = -16. Suppose -g*m + 1 = -h. Calculate the lowest common multiple of m and 10. 10 Let x = 75 + -103. Let c = 29 + x. Suppose b + 33 = 3*t, 0 = 4*t + 3*b - 5*b - 46. Calculate the least common multiple of t and c. 10 Find the common denominator of 7/166 and 71/(-426) - 4/(-10). 2490 Suppose 27 - 303 = -12*o. Calculate the least common multiple of o and 10. 230 Let t be (-9 + 3)*(-2)/(-3). Let u = 7 - -8. What is the least common multiple of 7 - 5/(10/t) and u? 45 Let k = 98765013/9659960 - 19981/2257. Let g = k - -2/535. What is the common denominator of g and (-16)/(-3) - (-2)/(-3)? 24 Let w = 29 + -23. Suppose -w*x + 0*x = -660. Suppose -2*t = 3*t - 3*n - x, 5*t = -5*n + 110. What is the lowest common multiple of 26 and t? 286 Let p = 22 - 18. Let c = 2314/3 + -50767/66. What is the common denominator of c and 182/24 + p/(-2)? 132 Suppose 98 = 5*b + 4*t, -4*b - t - 25 + 99 = 0. Calculate the smallest common multiple of b and 4. 36 Let w be (-2)/(28/(-8) - -3). Let a(l) = 29*l - 6. Let g be a(w). Find the common denominator of -21/20 and (g/(-6))/(16/(-6)). 40 Let j = -6665/3 - -2213. Calculate the common denominator of j and -13/454. 1362 Let k = -557 + 560. What is the smallest common multiple of 8 and k? 24 Let o be 17/34 - (-3313)/6. Let w = o + -559. Calculate the common denominator of w and 247/(-55) - 2/(-5). 33 Let p = -2119067/80 - -26489. Calculate the common denominator of -59/80 and p. 80 Find the common denominator of 119/72 and (2/144*-106)/(6/(-9)). 72 Let c(r) = r**3 + 6*r**2 - 17*r - 7. What is the smallest common multiple of 23 and c(-8)? 23 Suppose 104 = 11*w + 16. Let c(y) = 8*y - 43. Calculate the lowest common multiple of 42 and c(w). 42 Suppose 0 = 5*m - n - 206, -3*n - 226 = -5*m - 7*n. What is the common denominator of (4/m)/((-32)/2280) and 89/4? 28 Let l = -1560 + 1624. Calculate the lowest common multiple of l and 176. 704 Calculate the least common multiple of 10 and (-30)/21*-7*(-56)/(-8). 70 What is the common denominator of ((-5562)/243)/((-16)/(-6)) and 2114/360 + (-18)/81? 60 Let y = -1 - 2. Let u(n) = -n**2 + 29*n - 110. Let h be u(17). Find the common denominator of -61/9 and 6/y*h/(-44). 99 Let f(u) = 2*u - 16. Let z be f(8). Suppose o + 1049 + 345 = z. Let v = o - -12574/9. What is the common denominator of 13/3 and v? 9 Suppose 0 = -5*t + 2*n + 75, -4*n = -9 + 29. Suppose -4*o - 5 + t = 0. Calculate the least common multiple of 6 and (o/(-5))/((-1)/25). 30 Let f = 3/1922 + -71617/14415. Calculate the common denominator of -77/156 and f. 780 Let l = -1510/9 - -2567/18. Calculate the common denominator of (-88)/(-9) - (32 - 30) - 1 and l. 18 Suppose 0 = 3*v - 0*v - 12. Suppose 0 = -g - v*g + 60. What is the lowest common multiple of g and 8? 24 Let k = 92 + -82. Calculate the least common multiple of 44 and k. 220 Let o = -37 + 33. What is the smallest common multiple of 8 and 2 - (16/o + -1)? 56 Suppose 37639 = 5*x + 4899. Let n = -130933/20 + x. What is the common denominator of n and 37/8? 40 What is the common denominator of (-8)/(-192)*(-2 + -39) and 85/108? 216 Let s = -11 - -15. Let h(a) = -a**3 - 12*a**2 - 14*a - 25. Suppose -30 - 47 = 7*p. Calculate the lowest common multiple of h(p) and s. 8 Let n(t) = -8*t + 5. Let k be n(-2). Find the common denominator of -149/6 and (k/24)/7*-39. 24 Let k = 21205/3728 - 1/1864. Let z be (10/(-48))/5*-246310. Let b = -10269 + z. Find the common denominator of k and b. 48 Let w = 33 - 163/5. Find the common denominator of 2 + (-165)/(-18) + -1 and w. 30 Let x(g) = g**2 + 13*g - 16. Let t be x(-14). Let k = 16 + t. Calculate the smallest common multiple of k and 30. 210 Let p = -1321 + 43664/33. What is the common denominator of -88/21 and p? 231 What is the smallest common multiple of 308 and (((-42)/8)/(-1))/(78/416)? 308 Suppose -4 = -24*o + 22*o. Suppose -h = 5*s - 36, -5*h = -2*s - o + 11. What is the smallest common multiple of s and 20? 140 Suppose -5*d - 3*o = -156, -2*d - 5*o = -o - 68. Let h = 63 - 62. Calculate the least common multiple of h and d. 30 Let f(w) = w - 5. Let m be ((-2)/4)/((-9)/648). Let u be 3 - 9/(m/(-16)). What is the lowest common multiple of f(u) and 10? 10 Let q(u) = -u**2 - 19*u + 10. Let c be q(-18). Let b = 22 - c. Calculate the smallest common multiple of (-1 + 3/b)*-8 and 18. 36 Let o be (-2)/2 - 49664/(-22). Let b = o - 2260. Let f = 362 - 757/2. Calculate the common denominator of b and f. 22 Let n = 4823/6 + -6449/8. What is the common denominator of -109/84 and n? 168 Let h(c) = -21*c**3 + c - 1. Let j be h(1). What is the common denominator of (-9)/j*(-29)/3 and 1/((-20)/(-166)) + ((-486)/(-45))/27? 70 Suppose -2*m + 0*m + 448 = 0. Calculate the common denominator of 91/8 and 23*1*42/m. 16 Suppose -2*u + 4*i = 27 - 51, 5*u - 12 = -2*i. Calculate the least common multiple of u and 226. 452 Let t(o) = -66*o - 4. Let k be t
{ "pile_set_name": "DM Mathematics" }