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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"
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-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
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{
"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
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{
"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
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{
"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
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{
"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
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{
"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
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{
"pile_set_name": "DM Mathematics"
}
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*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"
}
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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
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{
"pile_set_name": "DM Mathematics"
}
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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"
}
|
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