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)/(96/3))
4
(-1)/1*0*(-8)/(-16)
0
(-6)/(-24)*-10*2/20
-1/4
Evaluate 30/36*4/10*0.
0
Evaluate (7/28)/(4/128).
8
Calculate 28/42*1/6.
1/9
What is ((-3)/7)/(9/((-63)/2))?
3/2
((-1)/(-6))/((-60)/(-45))
1/8
2/16*-1*12/9
-1/6
((-12)/30)/((-85)/25)
2/17
Evaluate ((-9)/162*-9)/(28/(-24)).
-3/7
What is (-72)/9*(-1)/2?
4
(24/384)/(2/8)
1/4
Calculate ((-11)/(3135/38))/(4/18).
-3/5
Calculate 48/9*1*(-7)/(-84).
4/9
Evaluate 12*(-1)/(-16)*-4.
-3
Calculate ((-12)/(-21))/(2/14).
4
Evaluate (-3)/(-6)*7/98*8.
2/7
What is (-8)/(-8)*0/3?
0
What is the value of 3/4*4/(-30)*4?
-2/5
Evaluate ((-50)/(-200))/(9/(-2)).
-1/18
-7*(-28)/147*6/(-76)
-2/19
Evaluate (51/(-34))/((-12)/56*-1).
-7
(-3)/(-18)*3*0*-1
0
(-121)/(-22)*12/33
2
Evaluate (3/12)/((-12)/48).
-1
Calculate 60/105*(-14)/(-20).
2/5
What is (5/(-70)*-4)/1?
2/7
Calculate 7*(-2)/(-66)*12/14.
2/11
What is ((-10)/20)/(6/(-4))?
1/3
Calculate 1*10*(-15)/(-30).
5
What is (-3*2/8)/((-63)/336)?
4
What is (-2)/(-4)*(-636)/1113?
-2/7
What is the value of (-4)/((-6)/(-4)*(-24)/(-72))?
-8
What is the value of ((-90)/9)/(2/1)?
-5
Calculate 4*15/(-10)*2/(-4).
3
What is the value of (((-144)/(-15))/12)/(2/(-10))?
-4
Calculate 5/(-10)*6/9.
-1/3
((-4)/2*1)/((-8)/(-16))
-4
What is the value of (-3)/((45/21)/5)?
-7
Calculate ((-24)/(-40)*5)/(3/8).
8
What is the value of (14/98*35)/5?
1
What is 3/(-3)*4*6/32?
-3/4
Calculate 7*((-3)/(-14))/((-12)/(-16)).
2
What is the value of (23*18/1104)/((-1)/(-24))?
9
2/(8/((-16)/4))
-1
What is the value of ((-40)/15*3/34)/2?
-2/17
Calculate (((-24)/165)/(-4))/((-1)/5).
-2/11
(7/(-6))/((-70)/10)
1/6
3/22*(-88)/66
-2/11
What is 72/48*(-16)/(-4)?
6
Evaluate 16/(-18)*6/(-96)*4.
2/9
What is the value of (-50)/(-60)*1/5?
1/6
(2/3)/(-7*8/(-24))
2/7
28/24*(-20)/(-35)
2/3
Calculate (-3)/(2/(-5)*6555/(-76)).
-2/23
What is (10/(-70))/(5/5)?
-1/7
1/((-2)/(-2))*(-71)/(-568)
1/8
What is the value of 4/16*((-20)/5)/(-4)?
1/4
Calculate ((-4)/8)/((-1)/(-10)).
-5
15/24*(-16)/(-40)
1/4
Evaluate ((-8)/360*3)/(1/(-2)).
2/15
Calculate 0*(-1)/(1/((-1)/(-1))).
0
What is the value of (-1*3/(-21))/(6/(-18))?
-3/7
Evaluate (-3)/(((-6)/20)/((-3)/(-6))).
5
Calculate (-5)/(4/(-4))*5/(-5).
-5
What is 3*(-13)/(-156)*-4?
-1
Evaluate (10/(-70))/(2/(-4)).
2/7
What is (46/345)/(3*4/(-12))?
-2/15
((-6)/(-3))/(-2)*1/(-7)
1/7
(10*14/1925)/(2/(-5))
-2/11
What is the value of 3/((-9)/(-6))*46/46?
2
Calculate (8/(-60)*-5)/(6/(-9)).
-1
What is the value of (-80)/20*-1*2/4?
2
Calculate (322/(-69))/((-8)/(-12)).
-7
What is the value of 1/(((-33)/66)/(1/2))?
-1
Evaluate 18/15*30/9.
4
What is ((-7)/126*6)/1?
-1/3
Evaluate (-6)/(-5)*(-20)/6.
-4
Evaluate (106/(-53))/(14/(-3)).
3/7
(-18)/135*18/4
-3/5
What is the value of (243/(-324))/(51/(-4))?
1/17
Calculate ((-6)/(-10))/(17/(-85)).
-3
Calculate (72/15)/(-4)*(-20)/(-8).
-3
Calculate 4*(-7)/(168/4).
-2/3
Evaluate ((-10)/(-25))/(1/(-10)).
-4
Calculate (12/(-15))/((-26)/(-13)).
-2/5
((-18)/(-33))/(9/(693/7))
6
What is 33/(-220)*32/36?
-2/15
What is ((-330)/462)/(1/(-7))?
5
Evaluate -5*(-1)/(30/(-12))*-2.
4
Calculate (3/(-9))/(96/108).
-3/8
What is ((-1)/35)/((-105)/350)?
2/21
Evaluate (-2)/(4/(-9))*(-34)/(-51).
3
What is the value of 0*(-2)/(-6)*1?
0
What is the value of (8/(16/10))/(5/5)?
5
165/(-33)*-3*(-2)/(-6)
5
What is (-30)/105*-21*24/18?
8
Calculate (9*6/36)/((-2)/4).
-3
What is 7*(176/(-77))/(-4)?
4
What is (((-126)/(-238))/((-6)/4))/(-3)?
2/17
Evaluate 10/(-1)*(-49)/294.
5/3
Calculate (9/10)/(16*3/20).
3/8
What is ((-10)/(-8))/(35/(-14))?
-1/2
(8/(-4))/(8/4)
-1
What is (64/(-8))/(-8)*(-10)/2?
-5
Calculate 1/(-6)*(-32)/24.
2/9
What is the value of 5/(-2)*(-3)/30?
1/4
Calculate 20/6*7/((-140)/24).
-4
Calculate (11*(-36)/(-264))/((-66)/8).
-2/11
Calculate -12*(-2)/128*-2.
-3/8
What is 5/((-8)/(-96)*-20)?
-3
What is (21/(-5))/(-3)*2/7?
2/5
Calculate 42/(-308)*(-8)/(-6).
-2/11
What is 14*2/(-10)*15/(-6)?
7
(3*1)/(9*11/(-132))
-4
What is ((-27)/(-15))/(4/(-120)*9)?
-6
What is the value of -3*(-12)/63*(-14)/(-12)?
2/3
(-6)/(-4)*20*2/(-12)
-5
-2*(-4)/(-12)*6/(-1)
4
What is ((-67)/(-67))/((-3)/3)?
-1
What is the value of ((-7)/(-21))/(9/(-162))?
-6
(-120)/(-45)*12/8
4
Calculate ((-44)/165)/((-2)/5).
2/3
Evaluate (-6)/48*4*(-8)/(-10).
-2/5
Evaluate (1*3)/(30/(-160)*4).
-4
((-12)/(-16))/((-6)/(-36)*-9)
-1/2
((-7)/((-147)/(-14)))/((-1)/1)
2/3
(2*(-1)/(-10))/((-16)/120)
-3/
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*b**2 + 3. Let j be s(-5). Suppose j*f = 23 - 8. Suppose f*n = 2*n + 27. What are the prime factors of n?
3
Let j be (-1)/((15/(-21))/5). Let f = j - -42. List the prime factors of f.
7
Let w(t) = -t**3 - 8*t**2 + t + 8. Suppose -4*p + 8 = -5*p. Let x be w(p). Suppose -i + 5 = -x. What are the prime factors of i?
5
Suppose u + 0*u + 107 = 5*s, -4*u = 4*s - 100. What are the prime factors of s?
2, 11
Suppose 2*a - 6 + 0 = 0. Suppose 2*h - a*h = -16. What are the prime factors of h?
2
Let c(x) = x**3 - 3*x**2 - 2*x - 5. Let y be c(4). Suppose y*s - 13 = 2*s. What are the prime factors of s?
13
Let g be 60/(-24)*16/(-10). Suppose 0 = g*k - 98 - 46. List the prime factors of k.
2, 3
Let b(z) = -3*z + 4. Let h be b(-3). Let m = h - 5. What are the prime factors of m?
2
Let v = 451 + -304. What are the prime factors of v?
3, 7
List the prime factors of (-3)/(2 - (-409)/(-203)).
7, 29
What are the prime factors of (-147)/(-7) - -3*1?
2, 3
Suppose -4*k + 12 = -3*h - 7*k, 5*h = -2*k - 8. Suppose 2*n - 4 = h, 4*r = r + 4*n + 94. What are the prime factors of r?
2, 17
Let z = 130 - 88. What are the prime factors of z?
2, 3, 7
Let l(v) = -v + 5. Let x be (-5 + 1)*(-7)/(-2). Let b be x/(-4)*-2 - 2. List the prime factors of l(b).
2, 7
What are the prime factors of (-25)/2*-2 - -2?
3
Let m(g) be the second derivative of -g**5/20 + 2*g**2 - 2*g. Let q be m(0). Suppose 4*p - 16 = q. List the prime factors of p.
5
Let y be 249/15 - 3/5. List the prime factors of 173/7 + y/56.
5
Let g(j) = -2*j + 1. Let s be g(-4). Suppose 3*k - s = -0*k. What are the prime factors of k?
3
Let j(l) be the third derivative of -l**6/120 + l**5/15 + l**4/24 + 5*l**3/6 + l**2. What are the prime factors of j(4)?
3
Suppose 5*u = -4*h + 174, -4*h - u - u = -180. Let w = h - 23. List the prime factors of w.
23
Suppose -3*i + 240 = 5*t, 2*t - 5*t + i + 158 = 0. Let x = t + -33. What are the prime factors of x?
2, 3
Let t = -1 - -5. Let r(u) be the first derivative of -u**3/3 + 5*u**2/2 + 3. What are the prime factors of r(t)?
2
Suppose -3*l - 35 = -2*c, -4*c + 5*l + 79 = 2*l. List the prime factors of c.
2, 11
Let a = 1 + 0. Let v be (8/a)/(4 - 2). Suppose 5*n = -5, -v*b = b + 4*n - 21. List the prime factors of b.
5
Let b = -5 + 2. Suppose -2*d = -5*d + 15. Let c = b + d. List the prime factors of c.
2
Let h(m) = -m**2 - 18*m - 26. List the prime factors of h(-14).
2, 3, 5
Suppose 5 = -5*a + 5*x, 5*a = -0*a - 4*x + 22. What are the prime factors of a?
2
Suppose 8*o - 2*o = 1080. What are the prime factors of o?
2, 3, 5
Suppose 2*v = 6*v. Suppose v = -t + 22 + 1. What are the prime factors of t?
23
Suppose -5*r = -41 - 9. Let g be (-1)/(2 + (-49)/25). List the prime factors of (-4)/r - 310/g.
2, 3
Let s(i) = i**3 - 4*i**2 + 2*i + 1. List the prime factors of s(4).
3
Let l(m) be the third derivative of 3*m**5/20 - m**3/6 + 2*m**2. What are the prime factors of l(1)?
2
Suppose 5 + 15 = 5*m. Let t(a) = -20*a + 2. Let z be t(-2). Suppose m*l = -l + 5*v + 30, -4*v + z = 2*l. List the prime factors of l.
11
Suppose -4*p + 0*m + 20 = -4*m, 0 = 3*p - 4*m - 19. List the prime factors of (-37)/(-4 + 3/p).
37
Suppose 7*v - 3*v - 184 = 0. What are the prime factors of v?
2, 23
Suppose 5*l - 653 - 32 = 0. List the prime factors of l.
137
Suppose 3*w - 4*w = -5. Let c be -1 + 0 - (-30)/w. Suppose -c*i = 1 - 16. What are the prime factors of i?
3
Suppose -8 - 4 = 3*l. Let s(r) = -r**3 - 4*r**2 - r + 5. List the prime factors of s(l).
3
Let z(r) = r**3 + 1. Let d(m) = 6*m**3 - m**2 - 3*m + 1. Let g(k) = d(k) - 4*z(k). Let b be g(3). List the prime factors of b/2*(-4)/(-6).
11
List the prime factors of (-32)/(-8) - (-77 + 0).
3
Let i = 21 - 33. Let x be (-16)/(-6) + (-4)/i. Suppose -5*w = q - 47, 5 = -x*q - 4. What are the prime factors of w?
2, 5
Let z(h) = 3*h + 8. List the prime factors of z(6).
2, 13
Let u(f) = f + 7. Let h be u(-6). List the prime factors of 22 + (h - 1) + -2.
2, 5
Let l(n) = -n**3 + 7*n**2 + 8*n - 3. Let g be l(6). Suppose -39 = -4*c + g. List the prime factors of c.
2, 3, 5
Suppose 4*t = 5*t - 4. Suppose t*f = -2*r + 222, f + 2*r = -0*r + 51. What are the prime factors of f?
3, 19
Let u = -15 + 26. List the prime factors of u.
11
Let t(g) = 34*g**2 + g - 2. What are the prime factors of t(1)?
3, 11
Let j(w) = 60*w**2 - w + 1. Let f be j(1). Suppose 4*m - f = -m. Suppose 2*n + 0*n = m. What are the prime factors of n?
2, 3
Let y(u) = -21*u. Let g be y(-1). Let c = -5 + g. What are the prime factors of c?
2
Let u(b) = -b**3 - 10*b**2 + 12*b + 16. Let x be u(-11). List the prime factors of (-24)/10*x/(-2).
2, 3
Let g = -27 - -54. List the prime factors of g.
3
Suppose -211 - 105 = -4*v. List the prime factors of v.
79
Let f be ((-3)/6)/(2/(-12)). Let t(p) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
4*r + 4. Let x be q(0). Is i(x) composite?
True
Let m = -14 - -7. Let q(w) = w**2 + 7*w + 3. Let k be q(m). Suppose -3*j = k, -2*p = j - 304 - 209. Is p prime?
True
Let v(q) = -4*q. Let h be v(-1). Suppose 0 = i - 6*i - 5*k + 25, 0 = i - h*k. Suppose 3*f - 219 = -3*j - 0*j, -f - i*j = -85. Is f composite?
True
Suppose 0 = 5*a - a - 8. Suppose 4*r - v - 958 = 0, a*v + 233 = r + 5*v. Is r a composite number?
False
Let s(z) be the second derivative of z**4/12 - 5*z**3/6 - z**2 + 2*z. Let k be s(6). Suppose 0 = -5*b + k*i + 1015, -2*b + 0*b + i = -406. Is b composite?
True
Let s = 229 - 242. Let z be (0 - -1)/(3/105). Let k = s + z. Is k prime?
False
Let g(f) = f**2 - f + 36. Let c be g(0). Suppose -c = q + 2*q. Let a = -5 - q. Is a prime?
True
Let w be 59/2 + (-12)/8. Let t = w - 30. Is 587 - (0 - (1 + t)) a prime number?
False
Let a(j) = 47*j - 70. Is a(9) a prime number?
True
Let f(i) = -3*i**3 - 3*i**2 + 5*i + 7. Let r be f(5). Let n = 253 + r. Let z = n + 310. Is z a prime number?
False
Suppose 17*m + 51980 = 37*m. Is m a composite number?
True
Suppose -24*y = -21*y - 36. Suppose 0 = 8*m - y*m. Suppose m = -5*i + 79 + 4186. Is i a prime number?
True
Let k be 9/(45/10) + -3. Let w(h) = -2039*h - 1. Is w(k) a composite number?
True
Let u = 10 + -7. Suppose -4*v + 1004 = -4*g, 5*g + 1004 = -u*v + 7*v. Is v composite?
False
Suppose 11 + 10 = 7*k. Suppose 10*z - 5*z = 2*b - 5203, -2*b + k*z = -5209. Is b a prime number?
True
Suppose 0 = 8*o - 11*o - 15. Let n(v) = -3*v**3 - 7*v**2 + v + 4. Is n(o) a prime number?
True
Suppose 0*w + 4*j = 4*w - 1036, -4*w = -2*j - 1036. Let d = w - -135. Is (d/(-4))/((-9)/90) composite?
True
Suppose 5*y = 4*v + 9*y - 222316, v - 55579 = 3*y. Is v a composite number?
False
Let k = -2604 + 3951. Is k prime?
False
Suppose 0 = 4*t + 2*y - 32888, 4*t - 15*y + 16*y = 32890. Is t prime?
False
Let u be 3*(-4 + 8/3). Let r(z) = -16*z - 5. Let g be r(u). Suppose -d + 204 = g. Is d composite?
True
Suppose 10 + 160 = a. Suppose 0 = 3*o - w - 2281, 5*w + 595 = o - a. Suppose -61 = 3*x - o. Is x a prime number?
True
Suppose 35*n + 63569 = 46*n. Is n composite?
False
Suppose 0 = v - 674 - 13107. Is v a prime number?
True
Let h(f) = -f - 1. Let k be h(-4). Suppose 12 = 5*i - k. Suppose -255 = -i*q - 2*q. Is q composite?
True
Let k = -14 - -14. Let m be -70 - (0 + (2 - k)). Let w = -49 - m. Is w a prime number?
True
Suppose -9*v + 14*v = 5. Let j be 33/(-3 + 6) - v. Suppose j*c - 310 = 8*c. Is c a composite number?
True
Suppose 49 = -2*s + 489. Suppose s = i + 29. Is i composite?
False
Let w(p) = -p - 21. Let y be w(-23). Is (-1 - 2 - -719) + 1 + y prime?
True
Let u = 2689 + -1178. Is u composite?
False
Is ((-106938)/(-12))/(6/4) a prime number?
False
Let n be 0/2*(35/(-10))/(-7). Is (n - -1) + -4 + 2936 composite?
True
Let f be 24/96 + 5763/4. Suppose 289 = 2*i - f. Is i a composite number?
True
Let h(w) = -w - 16. Let c(d) = -4*d - 47. Let s(q) = -6*c(q) + 17*h(q). Is s(15) a prime number?
False
Suppose 9*a + 1026 = 15*a. Suppose a = 2*j + 7*j. Is j a prime number?
True
Suppose 6 = 3*i, 3*o + 2*i + 0*i - 4 = 0. Suppose 4*x = -o*x - 5768. Let h = -681 - x. Is h prime?
True
Suppose 2*u + n = -u + 78, 0 = 3*n - 9. Suppose 5*i + 5*q - 2735 = -490, 5*q = -u. Is i a composite number?
True
Let f(u) be the first derivative of u**2/2 - 3*u + 5. Let y be f(5). Is (13/y)/((-3)/(-12)) a composite number?
True
Let s = -352 - -250. Let p = -67 - s. Is p a composite number?
True
Let o(p) = -2*p**3 - 3*p**2 - 8*p + 17. Is o(-8) a composite number?
True
Suppose -1411 = 3*z - 5062. Is z prime?
True
Let a(i) = -27*i + 94. Let q be a(7). Let x = 128 - q. Is x prime?
True
Let u = -23 - -23. Suppose 5*h - 5*b + 1715 = 0, 4*h + u*b = -5*b - 1336. Let d = h + 544. Is d composite?
True
Let i(f) = 31*f**2 - 14*f - 26. Is i(9) composite?
True
Suppose 0 = 49*t - 26*t - 632937. Is t prime?
False
Suppose 0 = -20*m + 18*m. Suppose 0 = g - m*g. Suppose 5*s - 580 - 165 = g. Is s a prime number?
True
Let g(t) be the first derivative of -2 - 1/3*t**3 + 519*t + 0*t**2. Is g(0) a prime number?
False
Let j(q) = 168*q**2 + 8*q + 9. Let g(y) = y**2 - y - 1. Let i(c) = 4*g(c) + j(c). Is i(-2) a prime number?
False
Let g(w) = 314*w**2 + 4*w - 1. Let b(a) = 943*a**2 + 11*a - 3. Suppose 11 = -0*n - n. Let x(u) = n*g(u) + 4*b(u). Is x(-1) a composite number?
False
Let z(b) = 25*b**2 + 6*b - 6. Suppose 5 = a, -2*x + 2 - 37 = -5*a. Is z(x) a composite number?
True
Let j(m) = 1161*m + 10. Is j(7) composite?
True
Let a(w) = -w**3 - 43*w**2 - 21*
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-1
Are -132 and -664/5 unequal?
True
Which is bigger: -1.167 or 0?
0
Is -45/49 smaller than 0?
True
Which is smaller: 29 or 5/3?
5/3
Is 4/67 greater than 0?
True
Which is bigger: 7/2021 or 0?
7/2021
Which is smaller: 7.34 or 1/17?
1/17
Which is smaller: -199 or 2?
-199
Is 4 equal to 97?
False
Is -3382 not equal to -3381?
True
Is -0.232 less than 0?
True
Which is smaller: 55 or 53?
53
Which is smaller: 1 or 1/399?
1/399
Which is smaller: 0.0071 or -3?
-3
Is -2/69 >= 1/29?
False
Which is greater: 9 or 0.8?
9
Is 5.766 less than or equal to -1/3?
False
Is 1 greater than 3/61?
True
Is 6/3221 equal to -1?
False
Is 51 <= 207/4?
True
Which is greater: -303 or -300?
-300
Is -239 < -239?
False
Is -1069 != -1069?
False
Is -23 greater than or equal to 84?
False
Is -5 equal to -5?
True
Is 2/1923 at most 0.2?
True
Is -7/22 > 0.08?
False
Which is greater: -450/13 or -35?
-450/13
Is -818 equal to 0.4?
False
Is 8177 bigger than 8176?
True
Is 4/1791 smaller than -1?
False
Do -1.465 and -9 have different values?
True
Which is greater: 778 or -5?
778
Is -1/2 bigger than -503?
True
Is -0.1578 greater than 18?
False
Which is smaller: -15/53 or -1?
-1
Which is smaller: 1 or -204/1057?
-204/1057
Is -24 smaller than -59?
False
Is -1623 > -1623?
False
Which is greater: 73 or -2/9?
73
Which is bigger: 9759 or 9762?
9762
Which is bigger: -114 or -341/3?
-341/3
Does -47.45 = -2/5?
False
Which is smaller: -743 or -742?
-743
Which is smaller: 68/39 or 1?
1
Is 2 bigger than -27/7?
True
Which is smaller: -311 or -315?
-315
Which is smaller: -15.15 or 0.1?
-15.15
Which is greater: -1/7047 or 1?
1
Is -1/4 < -253?
False
Are 3.44 and -55 nonequal?
True
Which is bigger: 568 or 578?
578
Which is greater: -21 or 15?
15
Is 0.1004 at most as big as -20?
False
Does 3 = 126?
False
Which is bigger: -4438 or 1?
1
Which is bigger: 0 or -2/281?
0
Are 3573 and 3580 unequal?
True
Are 8773 and 8774 unequal?
True
Which is greater: -71/2 or 1?
1
Which is bigger: -21/712 or 1?
1
Which is bigger: -41 or -40?
-40
Which is bigger: -0.4 or 0.325?
0.325
Which is bigger: 0 or 1/36974?
1/36974
Which is bigger: 0 or 1813?
1813
Which is bigger: 13.6 or -1?
13.6
Which is smaller: 2/15 or -207?
-207
Is 100 less than 0?
False
Is -522 at least 12?
False
Are 1 and 3/6083 equal?
False
Is -4477 at most as big as -4477?
True
Which is smaller: -2/11 or 10/11?
-2/11
Which is smaller: -76 or 19?
-76
Which is smaller: 2 or 1.13?
1.13
Which is greater: 130 or 183?
183
Is 0.0556 < 0?
False
Which is greater: -1/758 or 0?
0
Which is smaller: 22/23 or 2?
22/23
Which is greater: 1 or -5/3346?
1
Is -22 >= -25?
True
Is -2 at most 333?
True
Which is smaller: -651 or -649?
-651
Are 140 and 0.03 nonequal?
True
Which is smaller: -3 or 1233?
-3
Is 213 greater than -1?
True
Does -17 = 1?
False
Is -1.1 at most as big as -2.5?
False
Which is smaller: -215/19 or -10?
-215/19
Is 151 at least 152?
False
Which is smaller: 2046 or 2045?
2045
Is -1696 < -1703?
False
Is 0 > 29/143?
False
Which is smaller: -3802 or -3800?
-3802
Which is greater: -61 or -59?
-59
Which is bigger: 0.18 or -2/7?
0.18
Do -9 and 1/2 have different values?
True
Which is bigger: -3/19 or 0?
0
Which is bigger: -1/3 or 10?
10
Are -0.058155 and -1 equal?
False
Which is greater: 96/7 or 13?
96/7
Which is bigger: 39 or 0.021?
39
Is 7.02 less than or equal to 0.2?
False
Is 23 equal to 403/17?
False
Which is smaller: 50 or 4?
4
Is 10071 at most 10071?
True
Is 1315 >= 1323?
False
Which is greater: 519 or 517?
519
Which is smaller: 2/7 or -161?
-161
Are -7010 and 0.1 equal?
False
Which is greater: 6 or 15?
15
Is -2464 at least as big as -2465?
True
Which is greater: 371 or -11?
371
Which is bigger: -139 or -2/101?
-2/101
Which is smaller: 1/3 or -6?
-6
Which is bigger: -8/223 or -1?
-8/223
Which is smaller: 1/4 or 238?
1/4
Which is greater: -454 or -0.69?
-0.69
Are 271 and 272 equal?
False
Which is smaller: 243/2 or 122?
243/2
Is 49 not equal to 337/7?
True
Which is greater: 0 or 97?
97
Is -1/4 < -64/13?
False
Are 2950 and 1 nonequal?
True
Which is smaller: -131/5 or -26?
-131/5
Which is smaller: -247 or -249?
-249
Is -1/35 greater than 1?
False
Which is greater: 1/11 or 99?
99
Is 9 greater than -158?
True
Which is smaller: -2 or -0.0316?
-2
Is -26 at least as big as -23?
False
Which is bigger: -1 or -111/58?
-1
Is 10103 less than 10104?
True
Is 6/217 > 0?
True
Which is greater: -1 or -359?
-1
Which is smaller: -0.8 or 1?
-0.8
Is -3958/9 less than -441?
False
Does 138 = 2/11?
False
Is 40977 at most 40978?
True
Is -49 less than or equal to -13?
True
Is 3 bigger than 609?
False
Which is smaller: 2/19607 or 1?
2/19607
Which is smaller: 0 or 2/6731?
0
Which is greater: 1 or -2/697?
1
Is 0 at least -14/813?
True
Is 4579 less than or equal to 4578?
False
Is 78 not equal to 72?
True
Which is greater: -0.15 or -1159?
-0.15
Do 560 and 559 have different values?
True
Is 3 at most 12?
True
Which is smaller: 2 or 22/17?
22/17
Which is smaller: -1 or -76/185?
-1
Which is bigger: -1 or 3414
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4. Suppose o(y) = 0. Calculate y.
-5, -1
Let u(w) be the first derivative of -3/25*w**5 - 1/5*w**3 + 0*w**2 - 3 + 0*w - 3/10*w**4. Factor u(b).
-3*b**2*(b + 1)**2/5
Let a(x) = x**4 + 4*x**3 - 4*x**2. Let w(j) = -6*j**4 - 20*j**3 + 20*j**2. Let t(g) = -11*a(g) - 2*w(g). Factor t(l).
l**2*(l - 2)**2
Let s = 0 - -4. Let u = 12871/25718 - 6/12859. Let 0*w + w**3 + 0 - u*w**2 - 1/2*w**s = 0. Calculate w.
0, 1
Let f(w) be the first derivative of -w**5/10 - w**4 + 19*w**3/6 - 5*w**2/2 + 224. Suppose f(o) = 0. Calculate o.
-10, 0, 1
Let k(x) be the second derivative of -x**5/4 - 5*x**4/6 + 10*x**3/3 + 20*x**2 - 83*x - 1. Find l, given that k(l) = 0.
-2, 2
Suppose 15*t - 5*n = 13*t + 26, -4*n - 16 = 0. Let y(d) be the second derivative of -1/42*d**4 - 16/7*d**2 + 0 - 3*d - 8/21*d**t. Find s such that y(s) = 0.
-4
Suppose -k - 2*k = k. Suppose k*u + 4*g = -u + 22, -2*u - 16 = -4*g. Factor 0 + 4/9*f**u - 2/9*f**3 + 0*f.
-2*f**2*(f - 2)/9
Let p = 42633 + -383209/9. Let a = -54 + p. Let 0 - 2/9*l - 2/9*l**4 + 2/9*l**3 + a*l**2 = 0. What is l?
-1, 0, 1
Let m(c) be the second derivative of -21*c - 1/12*c**3 + 0*c**2 - 11/48*c**4 + 0. Factor m(u).
-u*(11*u + 2)/4
Let d = -130 - -131. Let q be (d + 25/(-20))*-8. Factor 1/2*j + 0 - 1/4*j**q.
-j*(j - 2)/4
Let k(s) be the third derivative of -s**7/1050 + 11*s**6/120 + 77*s**5/100 + 293*s**4/120 + 59*s**3/15 + 607*s**2. Suppose k(o) = 0. What is o?
-2, -1, 59
Let f be -1 - (3/(-2))/1. Suppose 85*c = -112 + 282. Factor -l**c - 1/2*l**3 + f*l + 1.
-(l - 1)*(l + 1)*(l + 2)/2
Let k be (-134)/13 + (-200 - -212). Factor -2/13*f**3 - 14/13*f**2 - 10/13 - k*f.
-2*(f + 1)**2*(f + 5)/13
Suppose 6 = 5*n + 2*u, 0 = 2*u + 22 - 28. Find y, given that -1/5*y**3 + 0*y**2 + n + 0*y = 0.
0
Let h(b) be the second derivative of b**6/20 - 3*b**4/4 + 2*b**3 - 9*b**2/4 - 445*b. Factor h(n).
3*(n - 1)**3*(n + 3)/2
Let y(m) be the third derivative of -m**6/600 - 11*m**5/300 - m**4/3 - 8*m**3/5 - 4*m**2 - 52. Factor y(t).
-(t + 3)*(t + 4)**2/5
Let p(z) be the second derivative of -7*z**6/75 - 107*z**5/50 - 106*z**4/15 - 52*z**3/15 + z + 12. Determine d so that p(d) = 0.
-13, -2, -2/7, 0
Let v**2 - 4*v - 3*v**2 + 2211*v**3 - 2209*v**3 = 0. Calculate v.
-1, 0, 2
Let q(w) be the first derivative of w**4/27 - 4*w**3/9 + 2*w**2 - 7*w - 10. Let b(g) be the first derivative of q(g). Determine k so that b(k) = 0.
3
Let k(f) = 2*f**3 - 7*f**2 - 4*f + 1. Let v be k(4). Let l be 10/(-135)*-3 - v*-4. Suppose -2/9*x - l*x**3 - 10/3*x**2 - 14/9*x**4 + 4/9 = 0. What is x?
-1, 2/7
Suppose -4*w + 248 = -4*c, -5*c - 265 = 7*w - 3*w. Let x = c + 60. Determine r, given that 1/4*r**2 + 0*r + 1/4*r**4 + 0 + 1/2*r**x = 0.
-1, 0
Factor -1/4*d**2 - 5/4 - 21/8*d.
-(d + 10)*(2*d + 1)/8
Suppose 30 = -5*j - 4*p + 2*p, -2*j + 3*p = -7. Let h be (-1)/5*5/j. Factor 1/4 + 0*w - h*w**2.
-(w - 1)*(w + 1)/4
Let k(r) be the first derivative of r**5/4 - 145*r**4/8 + 1495*r**3/4 - 1015*r**2 + 980*r + 460. Let k(t) = 0. What is t?
1, 28
Let 20/9*q**2 - 4/9*q - 20/9 + 4/9*q**3 = 0. Calculate q.
-5, -1, 1
Suppose 0 = -5*r + 5*a + 35, -2*a - 17 = 14*r - 17*r. Factor 0 - 1/2*g**r + 1/2*g**4 - 1/2*g**2 + 1/2*g.
g*(g - 1)**2*(g + 1)/2
Let u(i) = -3*i**2 + 179*i - 186. Let g(s) = -2*s**2 + 180*s - 186. Let q(n) = -5*g(n) + 4*u(n). Find l, given that q(l) = 0.
-93, 1
Let p(n) be the second derivative of 343*n**6/12 + 49*n**5/2 - 105*n**4/4 + 25*n**3/3 - 5*n**2/4 - 2*n - 1. What is t in p(t) = 0?
-1, 1/7
Factor g**2 + 9*g**2 - 10 - 2*g**2 + 8*g - 6*g**2.
2*(g - 1)*(g + 5)
Let x(m) be the third derivative of -3*m**7/1960 + m**6/840 + m**5/35 + m**4/14 - m**3/2 + 3*m**2. Let g(v) be the first derivative of x(v). Factor g(b).
-3*(b - 2)*(b + 1)*(3*b + 2)/7
Let s(r) = 2*r**3 + 9*r**2 - 24*r - 32. Let b be s(-6). Let g(i) be the second derivative of 1/12*i**3 - b*i - 1/16*i**4 + 1/8*i**2 + 0. Factor g(l).
-(l - 1)*(3*l + 1)/4
Solve -2
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(10)).
-2*sqrt(3) + 1326
Simplify (-3*sqrt(50)/sqrt(32))/(5*sqrt(80)*-5)*-2.
-3*sqrt(5)/200
Simplify (2*sqrt(3600)*4)/((1*sqrt(320) - sqrt(320)) + 6*sqrt(5)*1 + sqrt(5)).
96*sqrt(5)/7
Simplify ((2*sqrt(209) - sqrt(209))*6 - sqrt(209) - sqrt(209) - (-3*(sqrt(209)*-2 + sqrt(209)) - sqrt(209) - sqrt(209)))/(sqrt(44)/sqrt(4)*-5*3).
-sqrt(19)/5
Simplify (5*(sqrt(44) - (sqrt(44) + sqrt(396))) - sqrt(88)/sqrt(2)*3)/((sqrt(48) + (1*sqrt(48) - sqrt(48)))/sqrt(12) - (sqrt(196) - (2*sqrt(196) + sqrt(196)))).
-6*sqrt(11)/5
Simplify -6*1*((0 + sqrt(300)*3)*2)**2.
-64800
Simplify (4*(sqrt(100) + 1*sqrt(100) + sqrt(100)))/(sqrt(245) - (sqrt(245) + sqrt(245)*-1)*-6).
24*sqrt(5)/7
Simplify ((sqrt(10) - 5*sqrt(40)) + sqrt(30)/(sqrt(6)/sqrt(2)))/(2*(sqrt(98) + (1*sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98) + sqrt(98) - sqrt(2))).
-4*sqrt(5)/27
Simplify (4*6*(sqrt(114)*3 + sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114)))/(((-2*sqrt(36))/sqrt(3))/sqrt(2)).
-12*sqrt(19)
Simplify (-3*sqrt(800) + sqrt(8))/sqrt(4) - (-5*(sqrt(1250) - sqrt(50)))**2.
-20000 - 29*sqrt(2)
Simplify ((sqrt(48)/sqrt(3))/sqrt(4))/(sqrt(2) - (sqrt(72) - (sqrt(72) + -2*sqrt(72)))) + (2 + 3 + (sqrt(2) + 1 - sqrt(2)))*-5.
-30 - sqrt(2)/11
Simplify sqrt(136)/(sqrt(16)/sqrt(18)) + -1*(2 + sqrt(2448) - sqrt(2448) - sqrt(2448) - sqrt(2448)) + 2.
27*sqrt(17)
Simplify ((1*sqrt(143)*6 + (sqrt(143) - 6*-1*sqrt(143)) + sqrt(143) + sqrt(143))/(sqrt(396) - 1*sqrt(396) - ((sqrt(1584)*1 - sqrt(1584)) + sqrt(1584))))**2.
325/16
Simplify -1 + sqrt(175)*-3 + 3 + -4.
-15*sqrt(7) - 2
Simplify (4*(5 + (0 + sqrt(475) + sqrt(475))*-1 + (sqrt(228)/(sqrt(16)/sqrt(4)))/sqrt(3)))**2.
-1440*sqrt(19) + 25024
Simplify 6*((sqrt(2299) - ((-3*sqrt(2299) - sqrt(2299) - sqrt(2299)) + 1 + sqrt(2299))) + sqrt(2299) - sqrt(2299))**2*6*-1.
-2069136 + 3960*sqrt(19)
Simplify ((sqrt(1872)*-4)/((sqrt(4)*-4 + sqrt(4))*-3))**2 + -3.
805/9
Simplify 5*(-5*(sqrt(425) + 4*(sqrt(425) + -1 + sqrt(425)) - ((sqrt(425) - (-1 + sqrt(425))) + sqrt(425) + 3)))**2.
-80000*sqrt(17) + 3408000
Simplify ((sqrt(75) - (sqrt(75)*-2 + 4)) + sqrt(75)*2 + 5 + 4)**2.
250*sqrt(3) + 1900
Simplify ((sqrt(560)*-3)/(sqrt(1008)*-4)*-5)**2.
125/16
Simplify 2*((sqrt(891) - (sqrt(891)*2 + -3))*-4)**2 + -4.
-1728*sqrt(11) + 28796
Simplify 1 + sqrt(833)*-2 + 5 + (-4*(sqrt(833) + -1 + sqrt(833)) + sqrt(833))**2 + -4.
-406*sqrt(17) + 40835
Simplify (-2*sqrt(63)/sqrt(3) - sqrt(126)/sqrt(24))/((sqrt(363) - (sqrt(363) - 1*sqrt(363))*6) + sqrt(363) + sqrt(363)).
-5*sqrt(7)/66
Simplify ((5 + -2 + sqrt(20)/sqrt(4)*-4)*5)**2.
-600*sqrt(5) + 2225
Simplify (sqrt(12) + (sqrt(144)/(sqrt(12) - (sqrt(12) + (sqrt(12) - sqrt(48)))) - sqrt(12)) + sqrt(1452)*2)/(sqrt(100) - -2*1*sqrt(100)).
23*sqrt(3)/15
Simplify (1*1*sqrt(198))/(sqrt(8) - (sqrt(968) + sqrt(968)*-1 + sqrt(968))).
-3*sqrt(11)/20
Simplify (sqrt(495) + 1*sqrt(495) + sqrt(495)/(sqrt(18)/sqrt(2)))/(3*(sqrt(5) + 1*sqrt(5) + sqrt(5))*-3).
-7*sqrt(11)/27
Simplify (1*(-1*sqrt(684) + 3 - ((sqrt(684) - (sqrt(684) + -1)) + 0)))**2.
-24*sqrt(19) + 688
Simplify (6*2*sqrt(7260))/(sqrt(84)/(sqrt(21)/sqrt(3)) - -2*sqrt(12)*6)*-4.
-528*sqrt(5)/13
Simplify (-1*(5 + 2*sqrt(13) + 2*sqrt(1053) + sqrt(1053)) - (-2*(sqrt(143) - 2*sqrt(143)))/(1*sqrt(11)*2 + sqrt(11) + sqrt(11)))**2.
295*sqrt(13) + 45353/4
Simplify (3 + (2*(sqrt(13) - (sqrt(13) + (sqrt(13) - sqrt(325)) + 3)) - (-1 + -2*sqrt(13))*6))**2.
120*sqrt(13) + 5209
Simplify (sqrt(168)/sqrt(108)*4)/(sqrt(84)/(5*sqrt(48))).
40*sqrt(2)/3
Simplify (sqrt(6)/(sqrt(2)*1*5 - sqrt(2))*2)**2 - (sqrt(48) + sqrt(48) + (sqrt(480)*1)/sqrt(10) + 0).
-12*sqrt(3) + 3/4
Simplify 3 + 0 + 0 + sqrt(17) + 2*sqrt(17) + sqrt(17) + -3.
4*sqrt(17)
Simplify 6*(sqrt(117) + sqrt(117) + -2)**2 + 2 - (sqrt(13) + -1 + -4 + 3)**2*-3.
-156*sqrt(13) + 2885
Simplify -4*sqrt(153)/(sqrt(18)/sqrt(32))*-6 + -1.
-1 + 96*sqrt(17)
Simplify (sqrt(1216)*1 + -1 + (sqrt(1216) - (0 + sqrt(1216) + sqrt(1216))) + sqrt(1216) + 5 + sqrt(1216) + 1 + sqrt(1216) + -3 + sqrt(1216) + 4)**2 + 4.
384*sqrt(19) + 19496
Simplify (3 + -4*sqrt(2)*2 + (sqrt(6)*1 - sqrt(6))/sqrt(3)*-2)**2.
-48*sqrt(2) + 137
Simplify ((sqrt(2299) + 3 + sqrt(2299))*3 + -5 + sqrt(2299) + 3)**2.
1078*sqrt(19) + 112700
Simplify ((sqrt(252)*-2)/sqrt(9) - sqrt(28)) + -3*sqrt(56)/sqrt(2) + -3 + (sqrt(28) + -1)**2 + (sqrt(112)/(sqrt(8)/sqrt(2)))**2.
-16*sqrt(7) + 54
Simplify (sqrt(1100) + sqrt(1100)*1*5)/(-1*-1*sqrt(16)).
15*sqrt(11)
Simplify (sqrt(70)/(sqrt(128)*2))/((
|
{
"pile_set_name": "DM Mathematics"
}
|
127. Calculate the remainder when l is divided by 15.
14
Suppose f + 2 - 10 = 4*z, 0 = 3*z + 3. Let k(d) = 2*d + 0 - f*d - 4. Calculate the remainder when 3 is divided by k(-3).
1
Let z be -2*1/(4/6). Let t(p) = -4*p - 4. Let u be t(z). What is the remainder when ((-4)/6)/(u/(-348)) is divided by 16?
13
Suppose -3*b = -s - 0*s - 9, -b = -5. Suppose 8 = -8*q + s*q. What is the remainder when (q + 5)*4 + 62 is divided by 34?
32
Let y(q) = -53*q + 414. Let z = 19 + 5. Calculate the remainder when y(7) is divided by z.
19
Let z = -56 - -111. Calculate the remainder when 181 is divided by z.
16
Suppose 0*w + w = -4*t - 89, 0 = 3*w + 15. Let h = t - -17. Calculate the remainder when h + -1*(4 - 19) is divided by 3.
2
What is the remainder when (-83*(-5)/(-20))/((-4)/128) is divided by 95?
94
Suppose -33*h + 9840 = -3*h. Calculate the remainder when h is divided by 22.
20
Let r = 1546 - 1537. Suppose -5*h - 16 = -46. What is the remainder when r is divided by h?
3
Suppose 4*s + 2*t = 142, 2*t + 56 = 2*s - 0*t. What is the remainder when 359 is divided by s?
29
Let p(w) = 8*w - 3. Let l(n) be the third derivative of n**5/60 + n**4/3 + n**3 - 5*n**2. Let o be l(-8). Calculate the remainder when p(o) is divided by 24.
21
Suppose -13*b = -r - 9*b + 286, 3*r - 2*b = 828. Calculate the remainder when r is divided by 37.
15
Let s be ((-104)/6)/(36/(-54)). Suppose -7*b - s = -250. Calculate the remainder when b is divided by 18.
14
Let n(q) = -q**3 + 10*q**2 - 18*q + 35. Calculate the remainder when n(6) is divided by 16.
7
Suppose 160*r + 30 = 163*r. What is the remainder when 177 is divided by r?
7
Suppose 2*u = -4*w - 19 + 91, 2*u + 5*w - 73 = 0. Calculate the remainder when u is divided by 23.
11
Let x(f) = -3*f + 0 - f - 3 - f. Let a(z) = -9*z - 6. Let i(h) = -3*a(h) + 5*x(h). What is the remainder when 49 is divided by i(7)?
15
Suppose -n = 2*y - 19, 6*n - 70 = n - 5*y. Let q = 12 - n. What is the remainder when 41 is divided by q - 2 - (-10)/1?
8
Let j = 53 - 34. Let m(i) = 4*i**3 - 12*i**2 - 2*i - 2. Calculate the remainder when m(4) is divided by j.
16
Let o = -61 - -79. Suppose 249 = 3*f - 552. Suppose -2*c + 354 = 4*r, -2*c + f = 3*r + c. What is the remainder when r is divided by o?
16
Let k(b) = 7*b**3 - 6*b**2 - 5*b + 3. Let y(d) = -3*d**3 + 3*d**2 + 3*d - 1. Let w(a) = 2*k(a) + 5*y(a). What is the remainder when 7 is divided by w(4)?
2
Let c(f) = 304*f**3 + 1. Suppose 6*z - 33 = 4*z - 11*a, -z - 2*a = -34. Calculate the remainder when c(1) is divided by z.
41
Let t = 118 - 88. Calculate the remainder when 104 is divided by t.
14
Let d(y) = -2*y**2 - 9*y - 2. Let q be d(-5). Suppose 4*r = -r - 3*l + 64, 78 = 5*r - 4*l. Let j = q + r. Calculate the remainder when 27 is divided by j.
6
Let k be (6/8)/((-2)/(-8)). Suppose -4*x + 7 - 1 = -2*l, 4*x - k*l - 3 = 0. What is the remainder when 8 is divided by x?
2
Let f(c) = -c**3 + 21*c**2 + 2*c - 6. Let z be f(20). Suppose 0 = 7*r - 0*r - z. What is the remainder when r is divided by (-2)/(-5) + (-156)/(-10)?
14
Let g(c) = -98*c**3 + 2*c**2 - 9*c - 10. What is the remainder when g(-1) is divided by 21?
15
Let n = 470 + -289. Calculate the remainder when n is divided by 14.
13
Let w = 57 - 45. Suppose w*v - 4 = 8*v. What is the remainder when ((-2)/3)/((-10)/45) is divided by v?
0
Suppose 126*l - 107*l = 551. What is the remainder when 226 is divided by l?
23
Let a(s) = s**2 - 9*s. Let w be a(9). Suppose -9*f + 5*f + 92 = w. Calculate the remainder when 89 is divided by f.
20
Let a(r) = -r**3 + 7*r**2 - 6*r + 2. Let h(o) = 22*o**3 - o**2 - 34*o + 34. What is the remainder when h(1) is divided by a(6)?
1
Let h be (6/7)/((-1)/(-7)). Suppose 4*u + z - h*z = 139, -4 = -4*z. Let p = 209 - 190. Calculate the remainder when u is divided by p.
17
Let u = 697 - 663. What is the remainder when u is divided by 10?
4
Suppose 0 = -2*b + 2, -4*a + 2*b = -b - 5. Suppose 4*z - a*n = 42, z - 6 = -3*n + 8*n. Calculate the remainder when 19 is divided by z.
8
Suppose -3*m - 24 = -18. What is the remainder when 47 - 12/8*m is divided by 27?
23
Let j be (30/(-1))/(((-9)/(-30))/(-1)). Suppose 4*d - 4*h - j = 0, 2*h + 20 = d - 9. What is the remainder when 39 is divided by d?
18
Suppose -442 + 218 = -8*d. Calculate the remainder when 37 is divided by d.
9
Let n = 419 - 387. What is the remainder when n is divided by 10?
2
Suppose -2*j + 3*j = 8. Let q(v) = 2*v - 9. Let i be q(j). Suppose -8*o = -7*o - i. Calculate the remainder when 11 is divided by o.
4
Let n(l) = -l**3 + 2*l**2 + 6*l + 8. What is the remainder when 195 is divided by n(-3)?
20
Let m be (12 - 0)*3/1. Let o = -25 + m. Calculate the remainder when o is divided by (-1)/(-1)*(-609)/(-189) + (-110)/495.
2
Suppose 530 = 5*r + 26*g - 31*g, 4*g = 5*r - 528. What is the remainder when r is divided by 49?
6
Suppose 4*w + w = 0. Let q(d) = 2*d + 33. Calculate the remainder when 97 is divided by q(w).
31
Suppose 5*b = -q - 2*q + 1, -q + 4 = -2*b. Let m be 1/(1/(-36)*1). Calculate the remainder when 48 is divided by (-620)/m + q/(-9).
14
Let a = -192 - -326. Let u = -1072 + 1106. What is the remainder when a is divided by u?
32
Suppose -2*s + 65 - 29 = 0. Let p =
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -0.1 (b) 2 (c) 0.1 (d) 2/13
a
Which is the nearest to -0.3? (a) 0.2 (b) -2/9409 (c) -3 (d) 0.1 (e) 4
b
What is the closest to 0.13835 in 5, 1/7, 3/7?
1/7
Which is the nearest to 55/6? (a) -1 (b) 27 (c) -0.2
c
Which is the nearest to 18.9? (a) -3/5 (b) -4 (c) -5/3
a
What is the nearest to -1 in -8.7, -9, -2/3?
-2/3
Which is the nearest to -7? (a) -6 (b) 2 (c) 0.4 (d) -1 (e) 8
a
What is the nearest to -54/53 in 0, 1/7, -1?
-1
Which is the nearest to 2/17? (a) -0.22 (b) -5/2 (c) 10 (d) 2
a
What is the nearest to -20 in 64, 0.2, -1/3, 1/2, 4?
-1/3
What is the closest to -2 in -2/13, 2.53, -0.3, 1/48?
-0.3
What is the nearest to -1/4 in 44, -0.4, 5/4, 0?
-0.4
What is the nearest to 1224 in 0.3, 60, 0.2?
60
What is the nearest to 16/3 in -0.5, 3, 0.3?
3
Which is the closest to 1? (a) -5/2 (b) -0.4 (c) -805
b
Which is the closest to -0.063? (a) 1/13 (b) -0.34 (c) 0.3
a
What is the closest to 0.36 in 8, 3/4, -0.5, -102?
3/4
Which is the nearest to -1/59? (a) -5 (b) -34 (c) -1.1
c
Which is the nearest to -33? (a) 3/8 (b) 0.2 (c) 120/11
b
What is the nearest to -1 in 4, 0, -0.03, -30950?
-0.03
Which is the nearest to 1/4? (a) -1/3 (b) 19461 (c) 0.1
c
What is the closest to 19 in -2/7, -0.3, 112?
-2/7
Which is the nearest to 0.5? (a) 1/5 (b) -0.2 (c) 1/4 (d) -1
c
What is the closest to 1/2 in -5, -0.01, -233/2?
-0.01
Which is the nearest to -0.9? (a) 1/5 (b) 0 (c) 4 (d) -1173 (e) 0.4
b
What is the closest to -11 in -4, -9, 23, -0.17?
-9
What is the closest to 3/13 in 41, 0.041, -0.3?
0.041
What is the nearest to 25 in -654, 11, -1?
11
Which is the closest to 0.2? (a) -3 (b) 4 (c) 3 (d) -7/48
d
Which is the closest to 1? (a) 7/3 (b) -5/4 (c) -0.3 (d) 0 (e) -1233
d
Which is the nearest to -1/3? (a) 269/3 (b) 0.1 (c) 0.7 (d) 0
d
Which is the closest to 0.1? (a) 63 (b) 41 (c) 1/3 (d) 2.5
c
What is the closest to -1 in 0.03, -0.5, -1, 4, 269?
-1
What is the closest to 20 in 1/3, 2/53, 11?
11
Which is the nearest to -2? (a) -2 (b) 0.05 (c) -1/56
a
Which is the nearest to 3? (a) 2/15 (b) 124/7 (c) -1 (d) 1 (e) 2
e
Which is the nearest to 0.111? (a) -0.03 (b) 3 (c) -2/3 (d) -1/5
a
Which is the nearest to 0? (a) 13/5 (b) 0.057 (c) 3/2 (d) -1 (e) 0
e
Which is the nearest to 1/2? (a) -1 (b) -5 (c) -1/2 (d) 1/14
d
Which is the closest to 21? (a) -1 (b) 95 (c) 28/9
c
Which is the closest to 0? (a) 5 (b) 3 (c) -6 (d) 25
b
What is the closest to -21/5 in -498, 2, -3, -2, 4?
-3
What is the closest to -3 in -5, 18/11, -2, -0.179?
-2
Which is the closest to -2? (a) 65.2 (b) -18 (c) 2
c
Which is the nearest to -37? (a) 28 (b) 3/8 (c) -12 (d) 1
c
Which is the nearest to -560? (a) 0 (b) -2/9 (c) 5 (d) 0.5
b
Which is the nearest to -0.01? (a) -62 (b) -5 (c) 4 (d) 0.2
d
What is the closest to -2 in -9/31, -1, -0.9, -1/2?
-1
Which is the nearest to 0? (a) -122.011 (b) -2 (c) 0.2
c
Which is the closest to 139? (a) -2 (b) -1/3 (c) -3 (d) -5
b
Which is the nearest to -14? (a) 162 (b) -2/17 (c) -2
c
What is the nearest to 869 in 1, 18, -3?
18
Which is the closest to 2? (a) -8/919 (b) -3 (c) 1
c
What is the closest to 0 in 3, -0.2, 696, -2/3, 0.4?
-0.2
What is the nearest to 0 in -5357, 0, 4/3, -4, -0.2?
0
Which is the closest to -0.1? (a) -1 (b) 2 (c) 1.598 (d) -48
a
What is the nearest to 0.14 in 2/5, -4, 10?
2/5
What is the nearest to -0.0175 in -1/7, -6, 0.2?
-1/7
What is the closest to 1 in -24, -1/4, -1163?
-1/4
What is the nearest to 1/5 in -0.051, 1.19, -1, -1/10?
-0.051
What is the closest to -18 in 306, -2/3, -150?
-2/3
Which is the nearest to 2/3? (a) 63 (b) 2/3 (c) -0.032 (d) -0.3 (e) 1/8
b
What is the nearest to 1/4 in -6, -26, -126?
-6
What is the nearest to 1191 in 1/4, -0.9, 1?
1
Which is the nearest to 0? (a) -1 (b) 4/3 (c) 0 (d) 88/5
c
What is the nearest to -23 in 3/58, 3/2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 24. Let c = t + -5. Suppose -c*m + 3*m + 84 = 0. Is m composite?
True
Suppose 4*a - 26 = 3*s, 5*s - s + 28 = 4*a. Let y(n) = -8*n**3 - 2*n + 1. Let l(o) = -o**2. Let c(z) = 4*l(z) + y(z). Is c(s) prime?
True
Let c(s) = -154*s - 15. Is c(-8) composite?
False
Let h = 16 + 14. Suppose -2*r - 3*r = -h. Suppose -3*w - 255 = -r*w. Is w a composite number?
True
Is (15/6)/((-3)/(-678)) a prime number?
False
Let u = 2 - -93. Is u composite?
True
Suppose -9 = 4*o - 7*o. Suppose -o*w = -6*w + 789. Is w composite?
False
Let v(c) = -c + 11. Let b be v(11). Suppose p = -b*f - 4*f + 37, -2*p + 4*f = -26. Suppose 5*j = -p + 506. Is j a composite number?
False
Let u be -185*(-1)/4 + (-13)/52. Let p = -2 - -9. Let z = p + u. Is z composite?
False
Suppose 0 = -4*f + 11977 - 1893. Is f a prime number?
True
Suppose 0 = t + 5*f - 3*f - 1905, 3*t + 5*f - 5714 = 0. Is t prime?
False
Suppose -52 = -u - u. Let v = u + 9. Is v prime?
False
Suppose 4*w - 16 = -4*f, f - 4*w - 5 + 1 = 0. Suppose -g = -f*a + 3*g + 44, 12 = 4*g. Is a prime?
False
Let k(p) = 2*p**2 + 2*p**2 - 3*p**2 - 6*p - 7. Let s be k(7). Suppose s = 5*y - 84 + 19. Is y a composite number?
False
Suppose 5*t - 497 = 4*t. Let s = -286 + t. Is s a composite number?
False
Let m = 5091 - 3052. Is m a prime number?
True
Let z(s) = 3*s**3 - 10*s**2 - 33*s + 35. Is z(16) composite?
True
Let j(t) = 21*t**3 + 4*t**2 - t + 9. Is j(5) a composite number?
False
Suppose 2*r = -2*i + 2 - 6, 5*r + i + 2 = 0. Let z(m) = 23 + 4*m**3 - 2*m**3 + m - m**3 + m**2. Is z(r) a prime number?
True
Suppose 0 = 5*y - y - 16. Suppose x - y = -o, -4*x - 6*o + 15 = -o. Let u = x - 2. Is u prime?
True
Let p = 10 - 5. Suppose -4*v + p*v = 53. Is v a prime number?
True
Let o(i) be the second derivative of -9*i**3/2 - 11*i**2/2 + 6*i. Is o(-8) a prime number?
False
Let w(h) = 15*h - 1. Let s be w(1). Suppose -3*t + 0*t - s = 5*u, 0 = t - u + 2. Is (2/4)/(t/(-498)) prime?
True
Suppose 2*h + 12 - 388 = 0. Let o(q) = 2*q - 8. Let b be o(6). Suppose -3*r = 0, -3*d + 43 = -b*r - h. Is d a prime number?
False
Let p(a) = 116*a**2 - 4*a. Let b be p(-3). Suppose b = 4*y - 524. Is y composite?
True
Suppose 0 = t - 0*t - 5*b - 118, 127 = t + 4*b. Is t prime?
False
Suppose -846 + 274 = -h. Suppose 4*n + 0*n = h. Is n a composite number?
True
Suppose -8 = -7*r + 6*r. Is 2*2/(r/286) composite?
True
Let r(n) = -n**2 - n. Let m be r(0). Suppose -5*j - 2*q - q + 189 = m, -2*j + 86 = -4*q. Is j a composite number?
True
Suppose -14*n = -n - 22555. Is n composite?
True
Suppose 0 = -4*n + 20, 5*b + 2*n + 15 = 5*n. Suppose 3*v + b*v - 165 = 0. Is v a prime number?
False
Let a(c) = 20*c**2 - 5*c + 1. Is a(6) prime?
True
Let a(p) = -p**3 + p**2 + 1049. Suppose -6 = -5*l - 1, 2 = -3*r + 2*l. Is a(r) composite?
False
Let m(s) = -6*s - 1. Let f be m(-1). Suppose f*t - 2*d = 13 + 163, -22 = -t - 4*d. Is t prime?
False
Let z = 6 - 4. Suppose 38 = -0*u + z*u. Is u composite?
False
Suppose -3*x - 3 = 9. Let o = 17 - x. Is o a composite number?
True
Let d = 641 + -924. Let p = 506 + d. Is p a prime number?
True
Is (1 - 3) + (-477)/(-3) a composite number?
False
Let p be (-568)/32 + 1/(-4). Suppose s = -4*s - 10. Is -1*(p - -1) - s a composite number?
False
Let m(x) be the second derivative of 187*x**3/6 - 5*x. Is m(1) a prime number?
False
Suppose -y = -2*y + 1. Let l be 26/y + 0/(-1). Let w = l + -3. Is w prime?
True
Suppose 1 + 2 = z. Suppose z*u + 6 = 3*w, -4*u - w - w + 4 = 0. Suppose u = -5*l + 143 + 122. Is l a composite number?
False
Let o = 1 + -2. Let f(l) = -391*l**3 + l + 1. Is f(o) a prime number?
False
Suppose 0 = -3*k - 3*d + 27, -5*k - d = -2*d - 15. Let t(p) = 7*p**2 - 5*p + 3. Is t(k) composite?
True
Let s(w) = 3*w**3 - 11*w**2 - 21*w - 18. Is s(11) a prime number?
False
Suppose -k - 70 + 446 = 0. Suppose 5*u - 1907 = 2*r, -5*u + k = -4*u + 5*r. Is u composite?
True
Suppose d + 31 = -2*o - 61, -o + 4*d - 46 = 0. Is o/(-4)*(-1 - -15) a composite number?
True
Let v be (-2)/(-5) + (-52)/5. Let a be (0 + -6)*(-6)/4. Let n = a - v. Is n prime?
True
Suppose -2 = -u + 4. Suppose 20 = 2*d + 4*v, -4*v - 26 = -3*d - 9*v. Is 29/d + (-3)/u a composite number?
True
Is -254*(2 - 5/(40/36)) a prime number?
False
Suppose 2*j = 4 + 4. Is (-9)/(-12)*(j - 0) prime?
True
Is ((-3)/6)/(2/(-7796)) a composite number?
False
Suppose -372 - 1712 = -4*k. Is k composite?
False
Suppose 8*h = 4*h + 16. Let x = h + 14. Suppose -5*b - x + 97 = -4*g, -64 = -4*b + 3*g. Is b a prime number?
True
Let w(l) = 2*l**2 - 3*l. Let u be w(2). Suppose u
|
{
"pile_set_name": "DM Mathematics"
}
|
3*l**2 + 163*l**2)*(l - l + l + 3 - 3 + l + (2*l - 6*l + 2*l)*(0 + 0 + 2) + 0 + l + 0 - 2*l + 21*l - l).
476*l**5
Expand (-11*b**2 + 4*b**2 + 19*b**2)*(-4*b + 3*b + 3*b) - 255*b - 12*b**3 + 255*b.
12*b**3
Expand -99*l**2 - 31*l**2 + 274*l**2 + 2*l**2 - 5*l**2 + l**2 - 2*l**2 + 1 - 1 + (0 + 0 - 2*l)*(7*l - 4*l - l) - 4 - l**2 + 4.
135*l**2
Expand (55 - 66 + 36)*(3*d**3 + 4*d**3 - 4*d**3).
75*d**3
Expand (84 + 66 - 10)*(3*m - m - 3*m) + 2*m + m - m + (-1 - 2*m + 1)*(-1 - 2 + 1) - 2*m + 0*m + 4*m + 4*m + 0*m - 2*m.
-130*m
Expand (3*p + 2*p - p + 9*p - 7 + 7 + (-2 + 1 + 0)*(-1 + 1 - 2*p) + p - 5*p + 5*p + p + 0*p - 2*p + 3 - 3 + 2*p)*(-3*p**4 - 4*p**4 + 5*p**4).
-34*p**5
Expand (2*y**2 + 0 + y + 0 - 3*y**2 + 4*y**2 - 3*y**2 + (0 + y**2 + 0)*(0 - 3 + 1) - y**2 + 0*y + 0*y + 2*y**2 + y - y)*(105*y - 96*y + 74*y).
-83*y**3 + 83*y**2
Expand (-12 - m - 9 + 3*m)*(1 + 2 - 1)*(-3*m + 3*m - 3*m**2).
-12*m**3 + 126*m**2
Expand (2*f - 2*f - f + (0 - 5 + 3)*(4 - 4 + 2*f) - 7*f + 7*f - 24*f)*(4 - 5 + 2)*(3 - 1 - 3).
29*f
Expand (-4*d + 2*d + d)*(-21*d - 16*d + 35*d - 38)*(-1 + 2*d**2 + 1).
4*d**4 + 76*d**3
Expand (7 - 7 - 6)*(4*h - 2*h + 0*h) - 2*h + 3*h + h + 3*h - 3*h - h + 4 - h - 4 + (-1 + 1 - 2)*(2*h - 2*h + h) - h + 3 - 3.
-15*h
Expand (30*s**2 + 28*s**2 - 20*s**2)*(5*s**3 + 0*s**3 + 0*s**3) + (2*s**2 - 2*s**2 + s**4)*(2*s - 3*s - 2*s).
187*s**5
Expand (-4 + 3 - 1)*(-326 - 259*j + 161 + 165).
518*j
Expand (2*b - 1 + 1)*(4*b - b - b) + b**2 - 2*b + 2*b + 73*b**2 - 75*b**2 - 5 - 5.
3*b**2 - 10
Expand (-31*y - 8*y + 57*y)*(4 - 2 - 1).
18*y
Expand (-p**2 + 0*p**2 - p**2)*(9*p - 9*p + 2*p**3) + 6*p**5 + 2*p**5 - 2*p**5.
2*p**5
Expand 2 + 41*a**2 - 7 - 21*a**2 + a**2 - a**2 - a**2 - 2*a**2 - 1 + 1 + (a - 7*a + 4*a)*(-2*a - 2*a + 6*a) + 2*a**2 + 0*a**2 - 3*a**2.
12*a**2 - 5
Expand (-1 + 2*s + 1)*(3 + 3 - 1)*(-4*s - 4*s + 0*s)*(-8 + 3 + 3).
160*s**2
Expand (0*x - 5*x + 7 + 4*x)*(-7*x - 8*x + 2*x).
13*x**2 - 91*x
Expand (-1 - 2 + 5)*(-8 + 16*l**2 - 512*l - 14*l**2 + 510*l - l**3).
-2*l**3 + 4*l**2 - 4*l - 16
Expand (10*c**2 - 6*c**2 - 6*c**2)*(0 + 4 - 2 + (-2 + 3 + 1)*(-5 + 5 - 3) + 0 + 3 - 2)*(0 + 1 - 3).
-12*c**2
Expand (0 + 0 - 1)*(-69*p**5 - 70*p**5 - p + 135 + 138*p**5) + (-2*p**3 - 2*p + 2*p)*(4*p**2 + p**2 - 4*p**2).
-p**5 + p - 135
Expand (4 + u**2 - 4)*(2 - 2 + 4)*(3 - 3 + 11*u**2)*(2 + 4 - 3).
132*u**4
Expand ((3 + 3*q - 3)*(-2*q**3 - 5*q**2 + 5*q**2) + 2*q**4 - 6*q**3 + 6*q**3)*(-4 + 14 + 1).
-44*q**4
Expand (-21*q**2 - 11*q**2 + 4*q**2)*(2 + 2 - 6).
56*q**2
Expand (-2 + 1 - 1)*(d**5 + d**5 - 4*d**5) - 2*d**5 - 2*d**3 + 23*d - 5151*d**2 + 10297*d**2 - 5147*d**2.
2*d**5 - 2*d**3 - d**2 + 23*d
Expand (-j**4 + 1 - 1)*(1 + 3 - 2)*(1 - 1 + 2)*(0 + 1 + 0)*(-4 - j + 4)*(6 + 79 + 53).
552*j**5
Expand (-3*u + 3*u + u**3)*(-2*u**2 + 6*u**2 - 3*u**2) + (-2*u + u**5 + 2*u)*(2 - 7 + 1) - 3*u**5 - 7*u**3 + 7*u**3.
-6*u**5
Expand (-m - 5 + 5 + 1 + 2*m - 1 + (0*m + 2*m - 3*m)*(-1 + 0 - 1) + (-1 + 2 - 3)*(1 - 1 + m) + 4*m - 2*m - m)*(684 - 71 - 93).
1040*m
Expand (3 + u**2 - 3)*(0*u + 6*u - 3*u) + 10*u**3 + 6*u - 3*u**3 - 9*u**3 + 9.
u**3 + 6*u + 9
Expand (0 + 0 + 1)*(-142*z**4 + 60*z**4 + 218*z**4) + (z**2 - z**2 - z**2)*(2*z**2 + 3*z**2 - 3*z**2).
134*z**4
Expand 3*r + 0*r + 0*r + 2*r - 6*r + 2*r + (-2 - 5 + 5)*(4*r - 4*r + 2*r) + 2 - r - 2 - 3*r - 3 + 3 + (-3 + 2 + 3)*(-3 - 2*r + 3) - 4*r + 3*r - r.
-13*r
Expand (-212 + 126 - 34)*(2*c**3 + 2*c**3 - c**3).
-360*c**3
Expand m + 8 - 8 + (0 - 2*m + 0)*(13 + 1 + 13 + 2).
-57*m
Expand -8*w**2 + 13*w**2 - 14*w**2 + (-2 - 2*w + 2)*(0*w - 15*w - w).
23*w**2
|
{
"pile_set_name": "DM Mathematics"
}
|
2?
1
Let d(v) = -v**2 + 17*v - 32. Suppose -22*p = -399 + 91. What is the remainder when d(p) is divided by 3?
1
Let v(t) = 0*t**3 + 1 + 17*t**2 - 39*t**2 + 20*t**2 - 3*t**3 + 6*t. Let x = 11 - 14. What is the remainder when v(x) is divided by 12?
10
Suppose -2*o = 2*h - 586, -3*h + 15 + 0 = 0. Suppose -3*r = q - 267, 2*q = q + 4*r + o. What is the remainder when 74 is divided by q/7 - 15/35?
35
Let j = -11874 + 11934. Suppose -2*q + 5*q - 108 = 0. Calculate the remainder when j is divided by q.
24
Calculate the remainder when ((-4)/(-3))/((-6)/(-36)) - (-3177 + 80) is divided by 18.
9
Calculate the remainder when -33 + (-18 - -319) + 14/2 is divided by 54.
5
What is the remainder when 162 is divided by (8833/726)/((-1)/(-6))?
16
Let x(k) = k**3 + k**2 + 3*k - 2. Let h be x(1). Suppose 5*q = h*l + 215, 10*q - 75 = 8*q - l. Calculate the remainder when 159 is divided by q.
39
Suppose 5*x - 48 = -d, -d = 3*x - 25 - 3. Suppose -2*t + x*k - 14*k = -26, -4*k = 3*t - 45. Calculate the remainder when 113 is divided by t.
18
Suppose 5*g - 63 = -363. Let j = 96 + g. Suppose -6*f = -j - 36. Calculate the remainder when 33 is divided by f.
9
Let y = -378 - -341. Let t(a) = a**3 + 35*a**2 - 74*a + 32. Let x(p) = -p**2 - p + 19. Calculate the remainder when t(y) is divided by x(0).
13
Calculate the remainder when 40*(30/(-5) + 7) is divided by ((-22)/18)/((-2)/18).
7
Suppose 108*i - 114429 - 47247 = 0. Calculate the remainder when i is divided by 100.
97
Let b(u) = -132*u - 757. What is the remainder when b(-8) is divided by 18?
11
Let d = -1458 - -1485. Calculate the remainder when 551 is divided by d.
11
Let p(c) = -17 + c**3 + 57*c - 58*c + 5*c**2 + 5. Calculate the remainder when 32 - -2 - (2 + -2) is divided by p(-3).
7
Let o = -61 - -70. Suppose -4*v + t + 27 = o, 3*v - 5*t = 22. Suppose 0*p + q - 98 = -p, 396 = v*p + 2*q. Calculate the remainder when p is divided by 26.
22
Suppose 89712 = 336*i - 1564752. Calculate the remainder when i is divided by 154.
150
Let l = 1863 + -1111. Calculate the remainder when l is divided by 747.
5
Let b = -542 + 782. Let i = b - 167. What is the remainder when i is divided by 13?
8
Suppose 4*a - 57 = 91. Suppose -18 = 3*g + 2*n, -4*g + n = -9*g - 37. Calculate the remainder when g/32 - 1178/(-8) is divided by a.
36
Let t(l) = 4*l**2 + 2*l - 1. Let b be t(-3). Let k be 2/8*(5 + 23). Suppose k*j - 85 = -b. Calculate the remainder when 18 is divided by j.
2
Suppose 0*k - 2*k + 906 = 5*p, -452 = -k - 3*p. Calculate the remainder when k is divided by 112.
10
Let j = -2698 - -2733. Suppose 4*x = 10*x - 48. Calculate the remainder when j is divided by x.
3
Let m = -2344 - -2454. Let z = 292 + -265. What is the remainder when m is divided by z?
2
Let o(f) = 953*f + 4802. Let m(r) = 3*r**2 - 7*r + 4. What is the remainder when o(-5) is divided by m(4)?
13
Suppose -p - 2*p = -27. Let y(a) = a**2 - 10*a + 11. What is the remainder when ((-28)/10)/((-2)/5) is divided by y(p)?
1
Suppose 11 = -7*x - 3. Let s be (-58)/(-7) + (-1)/((-7)/(-2)). What is the remainder when 100 + (x/(-4))/(4/s) is divided by 35?
31
Suppose -12 = o + 2*o, x = -2*o + 43. Let y(r) = r**3 + 47*r**2 - 51*r - 47. What is the remainder when y(-48) is divided by (30/(-8))/(x/(-272))?
17
Suppose 5*b = p - 208 - 33, -4*b = 3*p - 647. Suppose w - 59 = -4*c, 8*c - 3*w = 10*c - 37. Calculate the remainder when p is divided by c.
11
Let u(s) = -66*s + 2522. Calculate the remainder when u(-8) is divided by 5.
0
Suppose 76 = 3*b - 98. Let t(h) = 124*h + 4971. What is the remainder when b is divided by t(-40)?
3
Suppose 3*p = -3*l + 264, -61*p = -l - 65*p + 73. What is the remainder when l is divided by 53?
40
Let n = -321 - -568. What is the remainder when n is divided by 87?
73
Let b(t) = -100*t - 2397. What is the remainder when 591 is divided by b(-24)?
0
Let i(y) = y**3 - 2*y + 6. Suppose -4*c + 8 = 0, -3*c = t - 4*c - 15. Suppose 6*o - t + 5 = 0. What is the remainder when i(o) is divided by 6?
4
Let h(m) = -972*m + 11547. What is the remainder when 1714 is divided by h(11)?
4
Suppose -4*a = -5 - 27. Let q = -617 - -616. Let m = a - q. Calculate the remainder when m is divided by 4.
1
Let h = 258 + -48. Calculate the remainder when 237 is divided by h.
27
Let m = -2435 - -2640. Calculate the remainder when 718 is divided by m.
103
Suppose -5*t - 77*b + 79*b + 2146 = 0, 0 = 4*b - 8. Calculate the remainder when t is divided by 76.
50
Let o = 209 - 151. Suppose z - 68 = 4*l, l = 2*z + z - 204. Let v = z - o. Calculate the remainder when 79 is divided by v.
9
Let a(k) = 144*k**2 - 6*k - 115. Calculate the remainder when a(-8) is divided by 52.
49
Let f(h) be the third derivative of h**4/12 + 7*h**3/6 - 3443*h**2. Suppose 0 = -0*p + 3*p - 27. Calculate the remainder when f(p) is divided by 9.
7
Let q be 1/((1 + (4 - 6))/2). Let n(s) = 13*s**2 + s - 2. What is the remainder when n(q) is divided by 17?
14
Let b(y) = 19*y - 1130. Let v = -7 + 11. Suppose 4*c - v*h = 80, 0 = -h - 2*h - 6. What is the remainder when b(63) is divided by c?
13
Let m = -546 + 610. Suppose 0 = 5*u + 31 - 86. What is the remainder when m is divided by u?
9
Let g(y) = -y**3 - 19*y**2 - 57*y - 383. What is the remainder when 991 is divided by g(-17)?
7
Let i = -743 + 1193. Suppose 23
|
{
"pile_set_name": "DM Mathematics"
}
|
What are the prime factors of 446320920?
2, 3, 5, 3719341
What are the prime factors of 6567769?
13, 505213
List the prime factors of 57683300.
2, 5, 613, 941
What are the prime factors of 877946288?
2, 31, 1770053
What are the prime factors of 799206359?
7, 114172337
List the prime factors of 38504293.
827, 46559
What are the prime factors of 2136830336?
2, 101, 165287
List the prime factors of 45335744.
2, 708371
What are the prime factors of 185770056?
2, 3, 29, 89, 2999
List the prime factors of 1613968207.
199, 8110393
List the prime factors of 4275151255.
5, 31, 47, 449, 1307
List the prime factors of 5069381.
233, 21757
List the prime factors of 1269195.
3, 5, 191, 443
What are the prime factors of 128930212?
2, 47, 79, 8681
What are the prime factors of 380403715?
5, 3559, 21377
List the prime factors of 23568903.
3, 2618767
What are the prime factors of 14827480?
2, 5, 370687
List the prime factors of 1400683635.
3, 5, 13, 17, 127, 1109
What are the prime factors of 3773883314?
2, 269, 7014653
List the prime factors of 99549861.
3, 33183287
What are the prime factors of 303639485?
5, 73, 831889
What are the prime factors of 15860703?
3, 5286901
What are the prime factors of 24902901?
3, 19, 137, 1063
List the prime factors of 1471238994.
2, 3, 245206499
List the prime factors of 1622608830.
2, 3, 5, 23, 783869
What are the prime factors of 39495047?
39495047
What are the prime factors of 1787970049?
8171, 218819
What are the prime factors of 1008872785?
5, 201774557
What are the prime factors of 2388833158?
2, 89, 1693, 7927
What are the prime factors of 3585072908?
2, 149, 6015223
List the prime factors of 1221341221.
1221341221
What are the prime factors of 143231184?
2, 3, 47, 21163
List the prime factors of 4261715292.
2, 3, 355142941
List the prime factors of 71500595.
5, 14300119
What are the prime factors of 3349085535?
3, 5, 97, 157, 181
What are the prime factors of 470042480?
2, 5, 5875531
List the prime factors of 2136622518.
2, 3, 151, 227, 3463
List the prime factors of 2850729091.
7, 407247013
List the prime factors of 1788980258.
2, 13, 5292841
What are the prime factors of 25390012?
2, 167, 191, 199
What are the prime factors of 230188329?
3, 7, 74567
What are the prime factors of 1176798642?
2, 3, 196133107
List the prime factors of 111053284.
2, 31, 895591
What are the prime factors of 7064466191?
7064466191
List the prime factors of 233165641.
233165641
What are the prime factors of 376868833?
11, 29, 1181407
List the prime factors of 87482035.
5, 137, 127711
List the prime factors of 93413670.
2, 3, 5, 7, 163, 2729
What are the prime factors of 7503556286?
2, 3751778143
What are the prime factors of 11162953?
11162953
List the prime factors of 48467261.
59, 821479
List the prime factors of 48066502.
2, 11, 233, 9377
List the prime factors of 79697567.
149, 534883
What are the prime factors of 80398871?
7, 3229, 3557
List the prime factors of 1117270188.
2, 3, 31035283
What are the prime factors of 127005656?
2, 47, 337781
List the prime factors of 809593019.
8819, 91801
List the prime factors of 118647109.
7, 461, 36767
List the prime factors of 2631386333.
43, 61195031
What are the prime factors of 277933180?
2, 5, 7, 1985237
List the prime factors of 6645076422.
2, 3, 1861, 595117
What are the prime factors of 81113732?
2, 7, 17, 23, 31, 239
What are the prime factors of 272840008?
2, 7, 383, 12721
List the prime factors of 6420212680.
2, 5, 7, 83, 276257
List the prime factors of 279855736.
2, 3313, 10559
What are the prime factors of 9981331?
53, 83, 2269
List the prime factors of 2017127666.
2, 19, 53082307
List the prime factors of 8356524.
2, 3, 11, 29, 37, 59
List the prime factors of 273633818.
2, 109, 1255201
List the prime factors of 1558737.
3, 57731
What are the prime factors of 3219799086?
2, 3, 7, 315481
List the prime factors of 565615390.
2, 5, 47, 1203437
List the prime factors of 290527997.
290527997
What are the prime factors of 50777856?
2, 3, 22039
What are the prime factors of 310245783?
3, 83, 389, 3203
List the prime factors of 125769783.
3, 463, 90547
What are the prime factors of 127444059?
3, 1049, 13499
List the prime factors of 60006507.
3, 11, 1818379
What are the prime factors of 1144508367?
3, 381502789
What are the prime factors of 4777290469?
7, 89, 7668203
List the prime factors of 387416040.
2, 3, 5, 11, 127, 2311
List the prime factors of 3076067114.
2, 1538033557
List the prime factors of 3290238786.
2, 3, 17, 769, 41947
What are the prime factors of 51443029?
11, 425149
List the prime factors of 159084830.
2, 5, 37, 89, 4831
What are the prime factors of 11468514?
2, 3, 19, 29, 3469
What are the prime factors of 84041307?
3, 7, 43, 383
What are the prime factors of 51784750?
2, 5, 207139
List the prime factors of 18037875.
3, 5, 103, 467
List the prime factors of 106046930.
2, 5, 11, 67, 14389
What are the prime factors of 6937316993?
19, 365121947
List the prime factors of 32613313.
29, 1124597
List the prime factors of 783460519.
9467, 82757
List the prime factors of 49651772.
2, 167, 239, 311
What are the prime factors of 72789550?
2, 5, 31, 151, 311
What are the prime factors of 16095574?
2, 11, 173, 4229
What are the prime factors of 544013956?
2, 136003489
What are the prime factors of 2509091876?
2, 627272969
What are the prime factors of 328482023?
137, 1447, 1657
List the prime factors of 62086533.
3, 17, 131, 9293
List the prime factors of 1829349997.
73, 251, 99839
What are the prime factors of 5888844802?
2, 67, 239, 183877
What are the prime factors of 425277777?
3, 53, 79, 33857
What are the prime factors of 178824029?
19, 769, 12239
What are the prime factors of 109987315?
5, 21997463
What are the prime factors of 41529481?
|
{
"pile_set_name": "DM Mathematics"
}
|
12*b**3 + 1464*b**2 + 1455*b + 363 = 0.
-121, -1/2
Solve -3*q**4 - 186*q**3 - 1800*q**2 = 0 for q.
-50, -12, 0
Factor 18*g**4 + 71*g**3 + 68*g**2 - 4*g.
g*(g + 2)**2*(18*g - 1)
Find r such that 2*r**2/11 - 24*r/11 - 320/11 = 0.
-8, 20
Suppose p**3 - 16*p**2 + 13*p + 30 = 0. What is p?
-1, 2, 15
Solve 3*r**3/4 - 15*r**2/2 - 3*r + 30 = 0.
-2, 2, 10
Let -2*h**3/3 + 14*h**2 - 40*h/3 = 0. Calculate h.
0, 1, 20
Let -12*h**5 - 855*h**4 - 1881*h**3 - 1245*h**2 - 207*h = 0. Calculate h.
-69, -1, -1/4, 0
Factor 3*o**5/2 - 165*o**4/2 + 321*o**3/2 - 159*o**2/2.
3*o**2*(o - 53)*(o - 1)**2/2
Factor 12*n**5/7 + 76*n**4/7 + 24*n**3/7.
4*n**3*(n + 6)*(3*n + 1)/7
What is w in -3*w**5 + 3*w**4 + 42*w**3 - 18*w**2 - 135*w - 81 = 0?
-3, -1, 3
Solve -4*r**3 + 8020*r**2 - 4007968*r - 12096192 = 0 for r.
-3, 1004
Factor 2*z**4 - 182*z**3 + 534*z**2 - 530*z + 176.
2*(z - 88)*(z - 1)**3
Factor 5*d**2 + 120*d.
5*d*(d + 24)
Determine a, given that 25*a**5 - 995*a**4 - 2316*a**3 + 224*a**2 + 1184*a - 336 = 0.
-2, -1, 2/5, 42
Factor -n**5/2 - 5*n**4/2 - 3*n**3 + 2*n**2 + 4*n.
-n*(n - 1)*(n + 2)**3/2
Let -4*h**4 - 516*h**3 - 1020*h**2 - 508*h = 0. Calculate h.
-127, -1, 0
Find j such that -3*j**2/2 + 114*j + 234 = 0.
-2, 78
Factor -4*h**4 + 96*h**3 - 592*h**2 + 1344*h - 1024.
-4*(h - 16)*(h - 4)*(h - 2)**2
What is f in 363*f**3/7 + 1485*f**2/7 + 1296*f/7 + 324/7 = 0?
-3, -6/11
What is h in -2*h**3/5 + 26*h**2 - 2046*h/5 - 2178/5 = 0?
-1, 33
Factor 2*h**2 + 290*h + 572.
2*(h + 2)*(h + 143)
Suppose -d**5/10 + 13*d**4/10 + 3*d**3/10 - 41*d**2/10 + 13*d/5 = 0. Calculate d.
-2, 0, 1, 13
Factor w**3/3 + 8*w**2/3 - 5*w - 18.
(w - 3)*(w + 2)*(w + 9)/3
Factor -d**2/2 + 123*d - 15129/2.
-(d - 123)**2/2
Find r such that -r**2/8 + 41*r/8 - 155/4 = 0.
10, 31
Find d such that 12*d**5/7 + 20*d**4/7 - 3*d**3/7 - 19*d**2/7 - 9*d/7 - 1/7 = 0.
-1, -1/2, -1/6, 1
Suppose -q**4/4 + 19*q**3/8 + 25*q**2/4 - 157*q/8 - 165/4 = 0. Calculate q.
-5/2, -2, 3, 11
Suppose 3*c**5/7 - 81*c**4/7 + 654*c**3/7 - 978*c**2/7 - 4257*c/7 - 363 = 0. What is c?
-1, 7, 11
What is d in 2*d**5/5 + 2204*d**4 + 3036010*d**3 = 0?
-2755, 0
What is n in -n**4 - 57*n**3 + 3*n**2 + 169*n - 114 = 0?
-57, -2, 1
Factor -v**2/8 + 15*v/4 + 31/8.
-(v - 31)*(v + 1)/8
What is d in 2*d**3/7 + 34*d**2/7 + 160*d/7 + 128/7 = 0?
-8, -1
Suppose -656*f**3 - 658*f**2 - 2*f = 0. What is f?
-1, -1/328, 0
Factor -5*o**4 + 65*o**3 - 260*o**2 + 300*o.
-5*o*(o - 6)*(o - 5)*(o - 2)
Suppose -2883*f**2/2 - 124*f - 8/3 = 0. What is f?
-4/93
Factor -q**3/2 + 19*q**2/2.
-q**2*(q - 19)/2
Solve v**4/2 - 2*v**3 - 6*v**2 = 0.
-2, 0, 6
Solve -2*m**4/7 - 208*m**3/7 - 206*m**2/7 = 0.
-103, -1, 0
Let n**5/2 - 8*n**4/3 + 7*n**3/2 + 2*n**2/3 - 2*n = 0. Calculate n.
-2/3, 0, 1, 2, 3
Factor 2*l**4/3 + 14*l**3 - 44*l**2/3.
2*l**2*(l - 1)*(l + 22)/3
Let -55*v**3 + 1035*v**2 + 190*v = 0. Calculate v.
-2/11, 0, 19
Factor 4*l**5 - 40*l**4 + 64*l**3 + 8*l**2 - 68*l + 32.
4*(l - 8)*(l - 1)**3*(l + 1)
Determine g so that -g**5 - 6*g**4 - 9*g**3 + 4*g**2 + 12*g = 0.
-3, -2, 0, 1
Find k such that 2*k**5 - 22*k**4 + 50*k**3 - 10*k**2 - 52*k + 32 = 0.
-1, 1, 2, 8
Factor 13*m**3/4 + 19*m**2/2 - 3*m/4.
m*(m + 3)*(13*m - 1)/4
What is y in y**4/7 + 6*y**3/7 + 8*y**2/7 - 6*y/7 - 9/7 = 0?
-3, -1, 1
Factor -23*q**2/5 - 118*q/5 - 3.
-(q + 5)*(23*q + 3)/5
Find c, given that 2*c**2/5 + 12*c/5 - 16 = 0.
-10, 4
Let 4*f**5 - 136*f**4 + 936*f**3 + 3664*f**2 + 3956*f + 1368 = 0. Calculate f.
-1, 18, 19
Let -2*m**4/5 + 124*m**3/5 + 656*m**2/5 + 932*m/5 + 402/5 = 0. Calculate m.
-3, -1, 67
Factor 2*x**2/3 + 84*x + 496/3.
2*(x + 2)*(x + 124)/3
|
{
"pile_set_name": "DM Mathematics"
}
|
f -0.0027 and -0.2?
0.00054
What is the product of 1 and -0.812?
-0.812
Calculate 0.4*-4721.
-1888.4
Product of 1 and -55.
-55
-2.7 * 6
-16.2
1.3*1
1.3
Product of 0.5 and 664.
332
-3.69*-13
47.97
8*-1.6
-12.8
What is -0.13 times 0.13?
-0.0169
-4 * 1875
-7500
Product of -8.6 and 0.4.
-3.44
169 * 0.03
5.07
0.035 times -0.151
-0.005285
1 times 8
8
Work out 37 * -0.27.
-9.99
What is 0.4 times 135.6?
54.24
Work out -0.43 * -0.34.
0.1462
0 * -0.0205
0
0.04*21
0.84
What is 1064 times 0?
0
What is 382 times -3?
-1146
-188 * -4
752
What is the product of 3 and -4.24?
-12.72
Product of 137 and -1.
-137
Work out 0.015 * 0.1.
0.0015
Work out 12 * 6.
72
What is -0.049 times 0?
0
Multiply 26 and -45.
-1170
-143*3
-429
Calculate -151*3.
-453
What is the product of -0.06 and -11?
0.66
5*-913
-4565
What is 0.1 times 214?
21.4
What is 0.4997 times -5?
-2.4985
0.5 times -115
-57.5
What is 446 times -5?
-2230
0.022 * -3
-0.066
Multiply -0.2 and -0.43.
0.086
-18 * 1.26
-22.68
Product of -2 and 159.
-318
Calculate 26*-7.8.
-202.8
Multiply -0.4 and -1186.
474.4
Work out 27 * 2.8.
75.6
Product of -15 and 8.
-120
Product of 0.1269 and -0.4.
-0.05076
Work out 3 * 39.
117
4*-142
-568
-8.8*8.6
-75.68
0.4*-5.42
-2.168
What is the product of -1.1 and -0.2?
0.22
Work out 0 * -12.
0
88 times -6
-528
-2.54 times 0.2
-0.508
Multiply 0.1 and -61.8.
-6.18
What is 362 times 11?
3982
Multiply -0.2 and -312.
62.4
64 times 2.4
153.6
-0.3 * -3120
936
Calculate -1.4*917.
-1283.8
Calculate -42*1.7.
-71.4
1558 times 0.3
467.4
0.1 * 0.4
0.04
What is the product of 0.4 and -768?
-307.2
What is the product of 684 and 0.5?
342
What is the product of -4.2 and -1?
4.2
Work out -0.3 * 5885.
-1765.5
Calculate -0.3*0.29.
-0.087
Product of -0.87 and 0.05.
-0.0435
Product of -0.157 and 0.
0
-1.3 * 0.2
-0.26
Calculate -2*-2.16.
4.32
Work out -0.1 * -0.3.
0.03
Multiply 0.0719 and 3.
0.2157
-7.55 times 0.9
-6.795
Work out -6.3 * 0.4.
-2.52
Calculate -10.35*2.
-20.7
0.55 times -1.4
-0.77
Product of 2685 and -0.5.
-1342.5
Calculate 0.9*0.0071.
0.00639
What is the product of -0.358 and -4?
1.432
0.1 * -0.4
-0.04
430.9*-5
-2154.5
Calculate -2*1.253.
-2.506
-1366 times 0.4
-546.4
What is -1784 times -0.1?
178.4
-2 * 1577
-3154
4 * 0.816
3.264
Calculate -21*1.9.
-39.9
Multiply -0.1607 and -1.
0.1607
What is -2.43 times 5?
-12.15
Work out -212 * -0.3.
63.6
What is the product of -251 and 0.82?
-205.82
Work out 1.078 * 2.
2.156
What is 0.2 times 0.042?
0.0084
What is the product of 0.701 and 4?
2.804
Work out 0.05 * 1.
0.05
Work out -7 * 3.
-21
What is 0.003 times 98?
0.294
Work out 0.23 * 916.
210.68
-0.08 * -2.3
0.184
What is 14.3 times 5?
71.5
-0.596*5
-2.98
Product of 0 and -0.87.
0
Work out 10.58 * 0.3.
3.174
What is the product of -0.3 and 0.3?
-0.09
-428 * -2.9
1241.2
Work out -0.3 * 1107.
-332.1
0.63 times 4
2.52
Calculate 542*-0.5.
-271
-2*-0.72
1.44
0.9 times 93
83.7
What is -89 times 0.093?
-8.277
Multiply 4 and 2882.
11528
Work out 0.6 * -0.00367.
-0.002202
Work out -2.971 * -6.
17.826
What is the product of 0.69 and -0.2?
-0.138
0.08*2000
160
Calculate 4.9*-4.
-19.6
-2*-2413
4826
0.5 times -5
-2.5
-3 * -0.027
0.081
Work out -484 * 3.
-1452
Work out 82 * -0.5.
-41
What is 1.3 times -0.041?
-0.0533
Calculate -0.5*273.
-136.5
What is the product of -0.3 and 0.028?
-0.0084
What is the product of 82 and 0.08?
6.56
-0.2*3.675
-0.735
What is 0.2 times 66?
13.2
0.2 * -16.9
-3.38
1.2*119
142.8
Product of 0.86 and 0.048.
0.04128
0.5 times 118
59
Calculate -0.06*1352.
-81.12
Multiply 2 and 72.
144
Work out -0.38 * 19.
-7.22
Multiply -0.06 and -135.
8.1
Work out 4 * -7.
-28
5 times 89
445
-13.48 * 0.2
-2.696
What is 8 times -0.062?
-0.496
Multiply 0.59 and -151.
-89.09
Work out 2 * -0.066.
-0.132
Product of -533.7 and 0.5.
-266.85
Product of 17 and 8.
136
What is the product of 86 and -0.1?
-8.6
4*-0.1
-0.4
-0.0385*5
-0.1925
3 times 0.127
0.381
What is 29 times 0.0521?
1.5109
What is the product of 1 and 0.06942?
0.06942
3 times -36
|
{
"pile_set_name": "DM Mathematics"
}
|
est integer?
30
What is the square root of 108182380 to the nearest integer?
10401
What is the third root of 37096039 to the nearest integer?
334
What is the square root of 478259110 to the nearest integer?
21869
What is the third root of 414203979 to the nearest integer?
745
What is 206014619 to the power of 1/3, to the nearest integer?
591
What is 190168103 to the power of 1/2, to the nearest integer?
13790
What is 470571520 to the power of 1/2, to the nearest integer?
21693
What is 1457679 to the power of 1/2, to the nearest integer?
1207
What is 41120526 to the power of 1/2, to the nearest integer?
6413
What is the third root of 7266118441 to the nearest integer?
1937
What is the cube root of 28163977 to the nearest integer?
304
What is 2521929885 to the power of 1/8, to the nearest integer?
15
What is the fourth root of 553764401 to the nearest integer?
153
What is the cube root of 72096059 to the nearest integer?
416
What is the cube root of 1527483808 to the nearest integer?
1152
What is the fifth root of 222733337 to the nearest integer?
47
What is 130872347 to the power of 1/10, to the nearest integer?
6
What is the tenth root of 2117680599 to the nearest integer?
9
What is the ninth root of 108399027 to the nearest integer?
8
What is the cube root of 152648902 to the nearest integer?
534
What is the third root of 610775569 to the nearest integer?
848
What is 2743201923 to the power of 1/3, to the nearest integer?
1400
What is the eighth root of 528225446 to the nearest integer?
12
What is the cube root of 3364228244 to the nearest integer?
1498
What is 279793821 to the power of 1/6, to the nearest integer?
26
What is 396789508 to the power of 1/7, to the nearest integer?
17
What is 32212866 to the power of 1/8, to the nearest integer?
9
What is the cube root of 874111692 to the nearest integer?
956
What is the seventh root of 519586977 to the nearest integer?
18
What is 211458473 to the power of 1/2, to the nearest integer?
14542
What is the ninth root of 216919588 to the nearest integer?
8
What is 2398307217 to the power of 1/2, to the nearest integer?
48973
What is the cube root of 343075861 to the nearest integer?
700
What is the third root of 3662191506 to the nearest integer?
1541
What is the third root of 324132374 to the nearest integer?
687
What is 233121297 to the power of 1/2, to the nearest integer?
15268
What is the cube root of 32470321 to the nearest integer?
319
What is the cube root of 959099545 to the nearest integer?
986
What is the square root of 1564059236 to the nearest integer?
39548
What is the third root of 3029996428 to the nearest integer?
1447
What is 42391102 to the power of 1/10, to the nearest integer?
6
What is 241011000 to the power of 1/2, to the nearest integer?
15525
What is the sixth root of 1049714970 to the nearest integer?
32
What is 1236745485 to the power of 1/2, to the nearest integer?
35167
What is 6109542658 to the power of 1/2, to the nearest integer?
78164
What is 8522109017 to the power of 1/2, to the nearest integer?
92315
What is the cube root of 20741033 to the nearest integer?
275
What is 1690530998 to the power of 1/5, to the nearest integer?
70
What is 849356333 to the power of 1/2, to the nearest integer?
29144
What is 130705499 to the power of 1/5, to the nearest integer?
42
What is 71684043 to the power of 1/3, to the nearest integer?
415
What is 2339648069 to the power of 1/9, to the nearest integer?
11
What is the tenth root of 7399382552 to the nearest integer?
10
What is the third root of 1116736568 to the nearest integer?
1037
What is 24241971 to the power of 1/5, to the nearest integer?
30
What is 99673777 to the power of 1/3, to the nearest integer?
464
What is the cube root of 185207218 to the nearest integer?
570
What is 504773391 to the power of 1/7, to the nearest integer?
18
What is 27778847 to the power of 1/3, to the nearest integer?
303
What is 128206859 to the power of 1/2, to the nearest integer?
11323
What is the cube root of 30946428 to the nearest integer?
314
What is the sixth root of 57753090 to the nearest integer?
20
What is the cube root of 962165339 to the nearest integer?
987
What is 17196062 to the power of 1/7, to the nearest integer?
11
What is 17202869 to the power of 1/8, to the nearest integer?
8
What is 29204790 to the power of 1/2, to the nearest integer?
5404
What is the square root of 10731312 to the nearest integer?
3276
What is the cube root of 8331625 to the nearest integer?
203
What is the cube root of 289734284 to the nearest integer?
662
What is the seventh root of 341348043 to the nearest integer?
17
What is the fourth root of 1189914613 to the nearest integer?
186
What is the fourth root of 64744882 to the nearest integer?
90
What is 41329939 to the power of 1/4, to the nearest integer?
80
What is the seventh root of 101357290 to the nearest integer?
14
What is the square root of 65941708 to the nearest integer?
8120
What is 1110356542 to the power of 1/6, to the nearest integer?
32
What is 1486741428 to the power of 1/2, to the nearest integer?
38558
What is 4160814733 to the power of 1/6, to the nearest integer?
40
What is 296764481 to the power of 1/2, to the nearest integer?
17227
What is 25763950 to the power of 1/6, to the nearest integer?
17
What is the tenth root of 2756739203 to the nearest integer?
9
What is 806101380 to the power of 1/4, to the nearest integer?
168
What is the cube root of 22445625 to the nearest integer?
282
What is the seventh root of 1294532131 to the nearest integer?
20
What is the eighth root of 75106961 to the nearest integer?
10
What is 315459894 to the power of 1/3, to the nearest integer?
681
What is 125614525 to the power of 1/2, to the nearest integer?
11208
What is the square root of 2943531238 to the nearest integer?
54254
What is the cube root of 250444885 to the nearest integer?
630
What is the seventh root of 1116490167 to the nearest integer?
20
What is 210111908 to the power of 1/3, to the nearest integer?
594
What is the cube root of 480647192 to the nearest integer?
783
What is 432466246 to the power of 1/4, to the nearest integer?
144
What is the cube root of 119902309 to the nearest integer?
493
What is 95411124 to the power of 1/10, to the nearest integer?
6
What is 704437074 to the power of 1/2, to the nearest integer?
26541
What is the fourth root of 1211223603 to the nearest integer?
187
What is the third root of 409588720 to the nearest integer?
743
What is the fifth root of 2038362138 to the nearest integer?
73
What is the cube root of 23307948 to the nearest integer?
286
What is 145256681 to the power of 1/10, to the nearest integer?
7
What is the square root of 134777762 to the nearest integer?
11609
What
|
{
"pile_set_name": "DM Mathematics"
}
|
ands digit of h?
9
Suppose -5*w - 5*i = -1370, -4*i - 3 - 5 = 0. Suppose 5*t - 329 - 1031 = 5*b, b + w = 3*t. What is the hundreds digit of 2/15 + (-48834)/b?
1
Let v be (-15)/2*64/(-6). Suppose -2*b - 4*r = -246, 2*r = -9*b + 6*b + 345. Let d = b - v. What is the tens digit of d?
3
Suppose i = 2*i - f + 1, 4*i - 5*f + 5 = 0. Let v be (i - -7)*3*(-2)/(-21). Let h(l) = 10*l**2 + l - 2. What is the units digit of h(v)?
0
Let k = 2144 - -2045. What is the units digit of k?
9
Let x(u) = -132*u**3 + 13*u**2 + 8*u + 75. What is the tens digit of x(-5)?
6
Let n = 10134 + -2506. What is the hundreds digit of n?
6
Let j(y) = y + 2. Let m be j(-2). Suppose 0 = -z - 2*h + 92, 3*z + 3*h - 137 - 157 = 0. What is the hundreds digit of 16 + z - (m - -1)?
1
Let q(k) = 133*k**2 - 177*k - 11. What is the thousands digit of q(6)?
3
Let m be (-5)/(((-2)/14 - 0)/(-1)). Let n be m/28*(-2 + -6 - 0). What is the hundreds digit of 1234/n + (-8)/20?
1
Let n = -386 - -319. Let z = n - -376. What is the tens digit of z?
0
Let n(k) = 56*k + 50. Let y be n(9). Let s = y + -132. What is the hundreds digit of s?
4
Suppose 53*t = 54*t - 214. Suppose -7*p + 8*p - t = 5*w, 226 = p - w. What is the hundreds digit of p?
2
Let x be 66 + (-1 - (-4)/1). Suppose -65*j - 956 = -x*j. What is the units digit of j?
9
Let d = 298 - 315. Let s(q) = q + 48. What is the tens digit of s(d)?
3
Suppose 0 = 2*n - 1024 - 250. Let y = -418 + n. What is the hundreds digit of y?
2
Let p = 360 + -360. Suppose 171*w - 182*w + 3531 = p. What is the tens digit of w?
2
Let y = 595 - 593. Suppose -2*f - 2*f - 5741 = -5*r, 0 = y*f - 2. What is the tens digit of r?
4
Suppose -4*t = 4*a - 684, 0 = 4*a - t - 1006 + 327. Let l = -326 + a. What is the tens digit of 1/(-3) + l/(-9)?
1
Let u = -275 + 283. Suppose u*t = 514 - 66. What is the units digit of t?
6
Let k = -149047 - -214121. What is the hundreds digit of k?
0
Let v(g) = -17*g + 350. Let r(i) = 9*i - 176. Let x(d) = -9*r(d) - 4*v(d). What is the hundreds digit of x(0)?
1
Let b(i) = -i**2 + 2*i + 6. Let u be b(3). Suppose 0*r = 2*r - 4, -4*c - u*r + 26 = 0. Suppose 125 + 435 = c*f. What is the hundreds digit of f?
1
Let h be 6/(-27)*-1 + (-160)/(-9). Suppose 0 = 3*k + h - 78. Suppose -17*r + k*r = 399. What is the tens digit of r?
3
Suppose -3070 = -11*t + 6*t + 3*z, 5*z = 0. Suppose g = t + 115. What is the tens digit of g?
2
Suppose -x = 3*k - 3255, x - 3183 = k + 80. What is the hundreds digit of x?
2
Let g be (-2)/((-4)/(-914) + 0/(-6)). Let r = g + 619. What is the units digit of r?
2
Let v(g) = -614*g - 835. What is the hundreds digit of v(-9)?
6
What is the tens digit of ((112430/3)/10)/((-856)/96 - -9)?
7
Let a be (-2)/(-7) + 24/14. Suppose -4*b + 3*v = -409 - 28, 217 = a*b - 3*v. What is the hundreds digit of b?
1
Suppose -20*t + 19*t = -2714. What is the thousands digit of t?
2
Let j(d) = -3*d - 11 + 0 + 1 + 12*d**2. What is the units digit of j(-3)?
7
Let w(q) = -3*q - 34. Let c be w(-5). Let z(x) = -12*x - 177. What is the tens digit of z(c)?
5
Let x = -3857 - -4062. What is the tens digit of x?
0
Let y(a) = a**2 + 3*a + 4. Let p be y(-2). Suppose -3*k + 165 = 2*j, -4*j + 527 = k + 212. Let d = j + p. What is the units digit of d?
0
Let z be 2 + 1 - (-133 - 5). Suppose -f = -2*d + 158, -f - d - z = 5. Let y = -79 - f. What is the units digit of y?
1
What is the tens digit of (59 - -1)*(-5 - (-995)/25)?
8
Let u = 20364 - 7256. What is the tens digit of u?
0
Suppose 3*w = 3*v - w - 35, 0 = -4*v + 4*w + 40. What is the hundreds digit of (36/27 - 1526/(-30))*v?
2
Let t(u) = -4983*u**2 - 7*u - 8. Let z be t(-1). What is the thousands digit of 7 + -3 + z/(-4)?
1
Let l(s) = -12*s + 62. Let v be l(11). What is the tens digit of (4 + (-418)/7)/(10/v)?
9
Let q = 7514 + -7268. What is the tens digit of q?
4
Let p be 3 + 5 - 0/(-3). Suppose p*i - 24 = -0*i. Suppose -i*z - z + 212 = 0. What is the tens digit of z?
5
Let i(c) = -21*c - 2 + 3*c**2 + 42*c + 6 - 20*c. Let t be i(5). Suppose -t = -2*m + 78. What is the units digit of m?
1
Let j(q) = -q**3 - 22*q**2 - 21*q + 8. Let o be j(-21). Suppose 4*d + o = -0. What is the hundreds digit of (-4 + (-32)/(-10))/(d/570)?
2
Let v(i) = -115*i + 97. What is the units digit of v(-15)?
2
Let p(d) = -6*d + 60. Let s be p(11). Let b be (0 + 194/s)*-3. Suppose 109 = y - b. What is the units digit of y?
6
Let m be (-109*2)/(-2 - 0). Let u(x) = -4*x**2 - 6*x - 1. Let i be u(-4). Let n = m - i. What is the units digit of n?
0
Let m = -994 + 9507. What is the thousands digit of m?
8
Let w be (-3100)/(-30)*36/(-8). Let s = 381 - w. What is the tens digit of s?
4
Suppose 66*w = 897073 + 911855. What is the thousands digit of w?
7
Let j(m) = m**3 - 3*m**2 - 3*m + 2. Let s be j(4). What is the units digit of 2/s + (6 - (-5810)/21
|
{
"pile_set_name": "DM Mathematics"
}
|
- 406 = -5*u, -6*c - m*u = -4*c - 202. Is c a multiple of 26?
True
Suppose -19*m + 15*m = -416. Let o = m + -61. Suppose x + s - o = -0*s, 0 = -4*x + 3*s + 179. Does 12 divide x?
False
Suppose 0 = 4*b + 20, 0 = 3*l - 5*b - 1033 + 351. Is l a multiple of 9?
False
Let l(d) = -2*d**3 - 3*d**2 - d - 2. Let f be l(-2). Suppose -f*k = -4*a - 12, -4*a - k + 9 = 2*k. Suppose -8*v + 10*v - 42 = a. Does 21 divide v?
True
Suppose -5*t = p - 668, t = -0*p + 4*p - 2609. Does 39 divide p?
False
Let u be 68/3 - 9/(-27). Let o = u - 3. Is (o/6)/(1/12) a multiple of 8?
True
Let r(j) = 2*j**2 - 7*j + 9. Suppose -3*g - 4 = 2*u - 6, -4 = 4*u + 2*g. Let c be u/(-9) - (-68)/18. Does 3 divide r(c)?
False
Does 119 divide ((-291)/(-194))/(6/10072)?
False
Let w(q) = 17*q - 16. Is 20 a factor of w(5)?
False
Let z be ((-543)/(-15))/(2/10). Let g = z - 93. Does 17 divide g?
False
Let o be ((-56)/24)/((-1)/3). Let j = o + 7. Suppose -i - j = -36. Is i a multiple of 20?
False
Let q = 0 - 2. Let u(h) = -h**3 - 3*h**2 + 3*h + 1. Let a(o) = o**3 + 4*o**2 - 4*o - 2. Let z(y) = q*a(y) - 3*u(y). Is 11 a factor of z(2)?
True
Suppose 0 = -237*n + 233*n + 428. Is 13 a factor of n?
False
Is 31 a factor of (-3)/(243/(-16317)) + (-4)/9?
False
Suppose -s = 5*c - 197, 4*c + 148 = s - 67. Does 4 divide s?
False
Suppose 0 = -l + 3*u - 2*u + 299, -5*l = -3*u - 1491. Suppose -246 - l = -3*w. Is w a multiple of 40?
False
Is ((-4200)/(-18))/(-2)*-3 a multiple of 59?
False
Suppose 5*a + 23 = -32. Let n = 43 - a. Suppose -5*u = 0, 3*x + u = -0*x + n. Is x a multiple of 9?
True
Suppose -8*k - 4976 + 16496 = 0. Is 9 a factor of k?
True
Suppose 3*a = 4*a - 2*c + 33, 5*c = -3*a - 154. Let w = a - -63. Is w a multiple of 13?
False
Let v be 387/5 - 2/5. Let n be v*(4 + -8 + 5). Let u = 166 - n. Does 19 divide u?
False
Let p(k) = -2*k**3 - 11*k**2 - 111*k + 29. Is p(-11) a multiple of 71?
False
Let y(u) = 54*u**2 + 33*u + 75. Is 6 a factor of y(-2)?
False
Let t be 56/(-2) + -4*(-9)/12. Let p = 33 + t. Is p a multiple of 2?
True
Suppose -g + 373 = -3. Let w = g - 250. Is w a multiple of 15?
False
Let t = 197 + -111. Let w = -45 + t. Is 9 a factor of w?
False
Let h = -1048 - -1086. Is h a multiple of 2?
True
Is (-50)/5 - (-1414 + 12) a multiple of 34?
False
Let g = -21 - -31. Let c = -9 + g. Suppose -c = -j + 2. Is j a multiple of 3?
True
Let h(r) be the third derivative of -r**3 - 1/6*r**4 + 0 + 7*r**2 + 1/20*r**5 - 1/120*r**6 + 0*r. Is 30 a factor of h(-3)?
True
Let y = 13 + -40. Does 5 divide 33 - (4/6)/((-9)/y)?
False
Suppose -2*a + 41 - 33 = 0. Suppose 4*h - 105 = -a*m + 75, m = -3*h + 133. Is 11 a factor of h?
True
Let a(v) = -v - 44. Let g be a(-35). Let l(t) = -27*t - 51. Does 32 divide l(g)?
True
Let a be 395/50 + ((-3)/(-30) - 0). Let z be 2/(0 - 2) + 11. Let c = z - a. Does 2 divide c?
True
Is 24 a factor of (-6 - -34)/4*816/14?
True
Suppose -4*v + 9 = -v. Let m(a) = 44*a - 2. Let s be m(v). Suppose -4*h - s = -5*p, 0*p - 56 = -3*p - 2*h. Does 14 divide p?
False
Is 21 a factor of (-3)/8 - 67605/(-120)?
False
Suppose 13*n - 14*n = -256. Does 16 divide n?
True
Let b be 20/9 + 10/(-45). Suppose -b = c - 1. Does 8 divide 26 - (c - 2)*-1?
False
Let q(n) = 0 + 1 + n**2 - 22*n + 8*n. Let i be q(14). Is 1 - 4 - i*-41 a multiple of 14?
False
Let j(s) = s**3 + s**2 - 5*s - 2. Is 19 a factor of j(3)?
True
Suppose -15 = 3*k, -2*k = 4*u + 1 + 69. Let x(o) = -o**2 - 18*o + 29. Is x(u) a multiple of 12?
False
Suppose -h = 3*j - 4 - 14, 0 = 2*h + 5*j - 35. Suppose 62 = 4*l - 2*f, -5*f = 3*l + 1 - h. Suppose -2*n + 167 + l = 0. Does 30 divide n?
True
Let i = -4 + -13. Let r = i - -16. Let b(m) = 51*m**2 + 3*m + 2. Does 8 divide b(r)?
False
Suppose f = -5*z + 1572, -2*f + 0*f = z - 309. Does 44 divide z?
False
Let v(n) = -10*n - 21. Let w be v(-7). Let g = -34 + w. Does 15 divide g?
True
Let n(m) = -m**2 - 11*m - 5. Let j = -15 + 10. Let x = j + -5. Does 2 divide n(x)?
False
Let s be 75 + 3*(-4 - -5). Let r = s - 55. Does 2 divide r?
False
Let s(u) = -u - 5. Let h be s(-5). Suppose -4*l = -h*l - 80. Does 10 divide l?
True
Let k(w) = -w**2 + 27*w - 31. Let a = 132 + -109. Does 23 divide k(a)?
False
Let l(n) = -8*n - 6. Let a be l(-5). Let u = 36 - a. Suppose o + u*s - 42 = 0, 4*o - s = -2*s + 168. Is 5 a factor of o?
False
Let k(v) = 73*v + v**2 + 80*v + 22 - 152*v. Is 3 a factor of k(0)?
False
Is 13 a factor of (-292)/(-2) + 102/17?
False
Let m(d) = -375*d - 3. Does 51 divide m(-3)?
True
Suppose -5*j + 2470 = 3*y, j - 4*y - 215 - 279 = 0. Does 4 divide j?
False
Let g =
|
{
"pile_set_name": "DM Mathematics"
}
|
908675
What is -110241 divided by -45?
12249/5
Calculate -5026875 divided by 3.
-1675625
Divide 84 by 9788.
21/2447
What is -11704458 divided by -174?
67267
Divide -66437730 by 30.
-2214591
What is 1249194 divided by -52?
-624597/26
Calculate -2026 divided by 7584.
-1013/3792
What is 680841 divided by 21?
32421
Calculate 263755200 divided by -4.
-65938800
What is 8008979 divided by 6?
8008979/6
Calculate -614 divided by -50862.
307/25431
-5035 divided by -4286
5035/4286
-79108114 divided by -29
2727866
Calculate 5519 divided by 496.
5519/496
-3 divided by 321421212
-1/107140404
Divide 3 by -1508233.
-3/1508233
Divide 22131 by 552.
7377/184
What is 139000 divided by 1000?
139
Divide -167 by -15487.
167/15487
Divide -14619496 by 41066.
-356
What is 12230 divided by 28211?
12230/28211
Calculate -218502 divided by -3.
72834
What is 54107702 divided by 4378?
12359
What is -13036432 divided by 352336?
-37
47 divided by 87661
47/87661
796496 divided by -268
-2972
Calculate -3 divided by -256336992.
1/85445664
Calculate 11004432 divided by -852.
-12916
Calculate 25272156 divided by 1203436.
21
What is -3721640 divided by -85?
43784
176010472 divided by -4
-44002618
Divide -1569750 by 23.
-68250
Calculate -187754270 divided by -2.
93877135
What is -24608125 divided by -5?
4921625
Divide -146850165 by -1155.
127143
What is -12210942 divided by 2?
-6105471
Divide 152 by 52651.
152/52651
What is -75196054 divided by -201598?
373
Calculate -1179248 divided by -16.
73703
Divide 3976956 by 18.
220942
15186782 divided by -26
-584107
Divide 712461890 by 142492378.
5
Divide -9222386 by 4611193.
-2
16154740 divided by -20068
-805
What is -13657800 divided by -34?
401700
Divide -7991750 by 3995875.
-2
What is -93972 divided by 4?
-23493
Divide -60380 by 317.
-60380/317
Divide 386322300 by -1820.
-212265
Divide 365311917 by 513.
712109
What is 220823 divided by -142?
-220823/142
Divide -3045 by 21074.
-3045/21074
Divide 69500 by -766.
-34750/383
Divide -122065413 by -122065413.
1
What is 38 divided by -2659276?
-19/1329638
11136165 divided by 6609
1685
Calculate 854 divided by 405364.
427/202682
Divide -6654774 by 69.
-96446
Calculate 118973412 divided by 5.
118973412/5
What is 146217960 divided by 1218483?
120
Divide 1328305 by 1328305.
1
Calculate 16783976 divided by -762908.
-22
Divide -15197080 by 3799270.
-4
Calculate -96214040 divided by 2.
-48107020
What is 0 divided by 1161045?
0
Divide -47071 by -8.
47071/8
Calculate 5954100 divided by -5575.
-1068
Calculate -3544200 divided by -55.
64440
-4 divided by -1098928
1/274732
Calculate 27117138 divided by -1.
-27117138
What is 23502444 divided by 3917074?
6
What is -19701930 divided by 314?
-62745
What is -2595670 divided by -3371?
770
Divide 22626 by -91.
-22626/91
What is -16533520 divided by -170?
97256
661 divided by -44545
-661/44545
54307 divided by -81
-54307/81
Divide 41850564 by 508.
82383
4517890 divided by 39286
115
Calculate -1302 divided by -25217.
1302/25217
Calculate -3894 divided by -85432.
33/724
253981248 divided by -48
-5291276
89059316 divided by -1
-89059316
What is -81766146 divided by 40883073?
-2
Calculate 3 divided by 6395270.
3/6395270
Calculate -3823934 divided by 857.
-4462
-2733466572 divided by 4
-683366643
Calculate 40910849 divided by -7.
-5844407
2635 divided by -51585
-527/10317
-239372734 divided by -278
861053
Calculate 22 divided by 1813073.
22/1813073
Calculate 538898 divided by 454.
1187
What is -37250282 divided by -2?
18625141
Divide 606303940 by -42163.
-14380
Calculate -61218860 divided by 334.
-183290
What is 416603 divided by 2101?
37873/191
Calculate -212033312 divided by 608.
-348739
Divide 171299380 by 7.
24471340
What is 233 divided by 1693569?
233/1693569
Divide 14 by 1278818.
7/639409
Divide -1422077 by -24103.
59
Divide 48244141 by 542069.
89
1975513175 divided by -5
-395102635
Divide 15678944 by 7.
15678944/7
Divide -30178264 by -2.
15089132
-716640 divided by -60
11944
-11279883 divided by 6
-3759961/2
91199290 divided by 1403066
65
What is -30255982 divided by -466?
64927
Divide -2142090 by -3.
714030
What is -125247444 divided by -6?
20874574
Calculate 6966 divided by 944.
3483/472
-10733814 divided by 5366907
-2
Divide 1735075 by 347015.
5
Divide -1 by -6713356.
1/6713356
Calculate -2113 divided by -684.
2113/684
Calculate 246484190 divided by 1449907.
170
What is 11090528 divided by -7888?
-1406
-448824354 divided by 6798
-66023
Calculate -7236992 divided by -896.
8077
What is 224127 divided by -2767?
-81
-192466499 divided by 6
-192466499/6
134344 divided by -27
-134344/27
Calculate -37522056 divided by -9802.
3828
What is -5963605 divided by 16?
-5963605/16
Calculate -126 divided by 1827922.
-63/913961
What is 4 divided by 181346531?
4/181346531
Calculate -16121436 divided by 1343453.
-12
What is -78318916 divided by 2977?
-26308
-528114 divided by -4
264057/2
What is -352334 divided by 352334?
-1
-8446356 divided by 27
-312828
Divide -68063778 by -4167.
16334
-46 divided by 63359
-46/63359
Divide 688097991 by 261933.
2627
Calculate 6256095 divided by 579.
10805
Calculate -88899738 divided by 2.
-44449869
Calculate -8046389 divided by -221.
36409
What is 49983119 divided by -38419?
-1301
Divide 2331234 by -1877.
-1242
Calculate 39925000 divided by -6
|
{
"pile_set_name": "DM Mathematics"
}
|
(s) + 4*n(s). Let v(o) = -12 - 2 + 10 + o. Let q be v(0). Calculate b(q).
-9
Suppose 2 = 2*c + b, -5*b = c - 8*b - 8. Let u(q) = -8*q - 3. Let y(t) = -25*t - 7. Let h(z) = -3*u(z) + y(z). Determine h(c).
0
Suppose -4*k - 130 = -3*v, -v = 2*k - 20 - 30. Let y = v + -45. Let h(p) be the third derivative of -p**6/20 + p**5/30 - p**4/24 - p**2. Determine h(y).
-5
Let d(a) = -a**2 + 16*a + 16. Let l be 4/56*7 - (-66)/4. Give d(l).
-1
Let p(n) = 2*n**2 - 5. Let u be p(-2). Let i(y) be the second derivative of -y**4/12 + y**3/6 - 3*y. Let l(q) = q - 1. Let g(f) = -i(f) - 2*l(f). Give g(u).
2
Let s(g) = -g**3 - 4*g**2 - 5*g - 4. Let x be (-142)/46 - (-2)/23. Give s(x).
2
Let n(x) = 7*x**2 + 7*x - 1. Let z(o) = -17*o**2 - 14*o + 2. Let j(c) = -5*n(c) - 2*z(c). Let m be (-2 + 3/6)*4. Determine j(m).
7
Let i(f) be the second derivative of -f**5/10 - 25*f**4/12 - 13*f**3/6 - 4*f**2 + 22*f + 7. Determine i(-12).
4
Let n(s) be the second derivative of s**3/3 + 11*s**2/2 - 6*s. Let t(o) = -3*o + 15. Let r be t(7). Let u be ((-88)/33)/((-2)/r). Give n(u).
-5
Let q(j) be the third derivative of j**5/60 + j**4/8 - 2*j**3/3 - 22*j**2 + 2*j. What is q(-5)?
6
Let y(z) = z**3 - 5*z**2 + 4*z - 2. Suppose -470*f + 474*f = 12. Give y(f).
-8
Suppose 2*o + 3*u + 6 = o, 3*o = 2*u + 26. Let c(i) = i**2 - 5*i - 1. Determine c(o).
5
Let d = 10 - 6. Let q be (2/(-2))/(4/(-20)). Let h(z) = -d*z - z + q*z - z. Determine h(3).
-3
Suppose -2*m + d = -2, 4*d - 31 = -5*m - 0*m. Suppose 2 - 18 = -4*q. Let z(a) = 2 - q*a + a + a**3 + 0*a**m. Calculate z(-3).
-16
Let r(c) = 4*c**2 + 6*c + 5. Suppose 0 = w + 29*w + 120. Calculate r(w).
45
Let y(s) = s**2 - 4*s + 3. Let o be 7/(28/32)*(-5)/(-20). Suppose -2*f + 28 = -22. Let v be f/6 - o/12. Calculate y(v).
3
Let f(q) be the first derivative of -3*q**4/8 + q**3/6 - 15*q**2 - 10. Let i(w) be the second derivative of f(w). Let b = 2 + -1. Determine i(b).
-8
Let d be (-5 + 28/4)/(-1 - -2). Let l(z) = -d*z**2 + 17*z**3 - 18*z**3 + 2*z**2. Suppose 0 = -4*o - u + 4 + 3, 4*o = -5*u + 19. What is l(o)?
-1
Let g be (-3)/6 + (-1)/2. Let f be 2 + 1/(g/6). Let k(p) = -1 + 7 - 3 + 3*p - p**3 + 2*p - 3*p**2. Give k(f).
-1
Let p be 1 + -1 - 6/(-2). Suppose 0 = p*g - 2*w - 2*w + 30, g = w - 9. Let l(o) = -o**2 - 83 - 82 - 7*o + 164. Determine l(g).
5
Let z(v) = 4*v. Suppose 8 = 5*q - 2. Suppose 0 = -q*n - 4*s + 4, -n = -6*n - 2*s + 18. Let y be (-14)/n*16/(-28). What is z(y)?
8
Let q(d) = 6*d**3 - d + 1. Let m be 54/(-135)*(-5)/2. Give q(m).
6
Let f(x) = -3*x**2 - x**3 + 2 - 194*x + 198*x + 2. Let k(i) = -i**3 + 7*i**2 - 7*i + 2. Let w be k(6). Give f(w).
4
Let k = -3 + 6. Suppose 3 = -4*g - 5*a - 20, -13 = 2*g + k*a. Let z(f) be the third derivative of f**6/120 + f**5/15 + f**4/12 - f**3/3 + f**2. Calculate z(g).
2
Let v(c) = -4*c. Let n(g) = g**3 + 6*g**2 - 8*g - 5. Let w be n(-7). Let m(j) = j. Let k(z) = w*v(z) + 9*m(z). Give k(-6).
-6
Let m(w) = -7*w**3 + w + 18. Let p(u) = -u**3 + 3. Let j(a) = m(a) - 6*p(a). What is j(-1)?
0
Let h(t) = 2*t - 2. Suppose -122*q + 127*q - 19 = 2*u, -u = -q + 2. What is h(q)?
8
Let x(y) be the third derivative of -y**5/20 - 5*y**4/6 - y**3/2 + 19*y**2. Let s(j) = j**2 + 7*j + 1. Let a(t) = 8*s(t) + 3*x(t). Calculate a(-5).
-6
Let p(h) = -3*h + 20. Let y = 522 + -514. Calculate p(y).
-4
Let p(b) = -2*b - 1. Let h be p(-3). Let o(t) be the first derivative of -t**4/4 + 2*t**3 - 5*t**2/2 - 4*t + 5. What is o(h)?
-4
Let w(q) = q**3 - 8*q**2 + 6*q + 7. Let x be (-638)/(-8) + 3/(-4). Let a = x - 72. Give w(a).
0
Let m(k) = -2*k + 2 + 5*k + 0*k - k + 2*k. Suppose 0 = 4*v - 20, 4*o - 2*v = 3*o - 13. What is m(o)?
-10
Let g(l) = l**2 + 6. Let w(s) = -s**2 - s - 5. Let a(y) = -2*g(y) - 3*w(y). Let d(t) = t**2 + 14*t - 1. Let k be d(-15). Let u = k - 16. What is a(u)?
1
Suppose g + 2*g - 15 = 0. Let v(o) = 2 - o**2 + 3 + 6*o + 1 - 4 + 3. Give v(g).
10
Let a be (1 + -2 + 0)*0. Let l(w) = a*w**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(9*c + 2)/7
Let n(a) = 5*a**3 + 25*a**2 - 70*a - 50. Let s(d) = -2*d**3 - 8*d**2 + 23*d + 17. Let i(h) = 3*n(h) + 10*s(h). Factor i(y).
-5*(y - 2)*(y + 1)*(y + 2)
Let r = -480 - -484. Suppose -16/7*m**3 + 0*m + 0 - 10/7*m**r - 2/7*m**5 - 8/7*m**2 = 0. What is m?
-2, -1, 0
Let o(n) be the first derivative of 98*n**5/95 - 112*n**4/19 + 208*n**3/19 - 128*n**2/19 + 32*n/19 + 13. Determine s, given that o(s) = 0.
2/7, 2
Factor -8/7*x**2 + 16/7*x + 1/7*x**3 + 0.
x*(x - 4)**2/7
Suppose -9 = 250*w - 253*w. Suppose 0 + 3/5*r**5 + 0*r + 0*r**w - 3/5*r**4 + 0*r**2 = 0. What is r?
0, 1
Let q(c) = -5*c**5 + 22*c**4 - 37*c**3 + 17*c**2 - 3*c. Let w(a) = -5*a**5 + 23*a**4 - 38*a**3 + 18*a**2 - 2*a. Let g(j) = -2*q(j) + 3*w(j). Factor g(y).
-5*y**2*(y - 2)**2*(y - 1)
Let i(d) = 2*d**3 - 10*d**2 + 7*d - 3. Let f(p) = 11*p**3 - 61*p**2 + 43*p - 19. Let m(s) = -6*f(s) + 39*i(s). Factor m(k).
3*(k - 1)*(2*k - 1)**2
Let s(w) be the second derivative of 0 + 0*w**2 - 9*w + 1/45*w**6 + 2/189*w**7 + 0*w**5 + 0*w**3 - 1/54*w**4. Let s(a) = 0. What is a?
-1, 0, 1/2
Let p = -111059/90 + 1234. Let v(j) be the third derivative of 2*j**2 - 1/30*j**5 + 0*j + 1/315*j**7 + 4/9*j**3 - 1/9*j**4 + p*j**6 + 0. Factor v(h).
2*(h - 1)**2*(h + 2)**2/3
Let a(g) be the first derivative of 3/2*g**2 + 3*g**3 - 2 + 0*g + 3/5*g**5 + 9/4*g**4. Factor a(q).
3*q*(q + 1)**3
Suppose 2*u = 3*u + 4, -5*d = 3*u + 2. Suppose d*i + 3*i**2 - 7*i**4 + 2*i**3 - 4*i**3 + 4*i**2 = 0. What is i?
-1, -2/7, 0, 1
Suppose -77*o + 82*o = 0. Factor 4/9*x**2 + o*x - 14/9*x**3 + 0 + 2/3*x**4.
2*x**2*(x - 2)*(3*x - 1)/9
Let l(g) be the first derivative of 2/5*g**3 + 2/5*g - 1/10*g**4 + 3 - 3/5*g**2. Find n, given that l(n) = 0.
1
Suppose 12*s = 57 - 9. Factor 1/2*r**s + 2*r**3 - r**2 - 6*r + 9/2.
(r - 1)**2*(r + 3)**2/2
Let s(k) = 3*k**3 - 5*k**2 + 7*k. Let j(i) = -2*i**3 + 4*i**2 - 6*i. Let l(x) = 5*j(x) + 4*s(x). Factor l(c).
2*c*(c - 1)*(c + 1)
Let s(h) be the first derivative of 2*h**3/3 - 4*h**2 + 6*h - 13. Determine p, given that s(p) = 0.
1, 3
Find p, given that 0*p + 4*p + 4*p**2 + 3*p - 5*p + 2*p**3 = 0.
-1, 0
Let f(q) = -q**3 + 3*q**2 - 3*q + 1. Let w(s) = 2*s**3 - 6*s**2 + 6*s - 2. Let n(z) = -7*f(z) - 3*w(z). Factor n(m).
(m - 1)**3
Let c(h) = h**2 + 5*h + 4. Let n be c(-4). Suppose -5*s + n*s = -15. Solve -2/7 + 2/7*f**s + 2/7*f**2 - 2/7*f = 0 for f.
-1, 1
Let j(t) be the third derivative of 0 + 0*t**3 + 0*t - 3/32*t**4 + 1/160*t**6 + 1/40*t**5 - 5*t**2. Suppose j(g) = 0. What is g?
-3, 0, 1
Let k(z) be the second derivative of -z**5/60 - z**4/12 - z**3/6 - z**2/6 - 3*z. Solve k(c) = 0 for c.
-1
Let l(w) = w**2 + 1. Let r(n) = -4*n**2 - 3*n - 5. Let z(h) = -6*l(h) - 2*r(h). Factor z(c).
2*(c + 1)*(c + 2)
Let m(y) = -y**4 - y**2 + y. Let g(k) = 64*k**5 - 143*k**4 - 132*k**3 - 34*k**2 - 4*k. Let i(p) = 2*g(p) + 2*m(p). What is l in i(l) = 0?
-1/4, 0, 3
Let 1/6*y**2 + 0 + 0*y + 1/2*y**3 - 2/3*y**4 = 0. Calculate y.
-1/4, 0, 1
Factor 11*a - 15*a**2 + 18*a + 2*a**4 + 3*a**4 - 10 - 4*a - 5*a**3.
5*(a - 1)**3*(a + 2)
Let b = -6 + 9. Factor -3*s**3 + 8*s**2 + 2*s**b - 8*s**2.
-s**3
Let o(t) = -3*t**5 - 10*t**4 + 17*t**3 - 12*t**2. Let k(j) = -j**5 - j**4 + j**3 - j. Let l(c) = -4*k(c) + o(c). Factor l(r).
r*(r - 2)**2*(r - 1)**2
Let c(n) be the first derivative of -12/7*n + 12/7*n**2 - 7 - 3/7*n**3. Factor c(t).
-3*(t - 2)*(3*t - 2)/7
Let t(y) be the second derivative of y**7/189 - 4*y**6/135 - y**5/45 + 2*y**4/9 + y**3/3 - 36*y. Find j such that t(j) = 0.
-1, 0, 3
Let h = 54 + -54. Factor -22/5*a**4 - 4/5*a + h - 6/5*a**5 - 18/5*a**2 - 6*a**3.
-2*a*(a + 1)**3*(3*a + 2)/5
Let h(y) =
|
{
"pile_set_name": "DM Mathematics"
}
|
y*y)**(-50) assuming y is positive.
y**(-127/4)
Simplify (z/(z/z**(-1)))/z*z**0*z**1/(z**6*z*z*z) assuming z is positive.
z**(-10)
Simplify v**(-27)/(v*v/v**20) assuming v is positive.
v**(-9)
Simplify g**(-1/4)*g**(-3/5) assuming g is positive.
g**(-17/20)
Simplify (t**(-1/6)*t)**9 assuming t is positive.
t**(15/2)
Simplify (h**0)**(1/15)*(h*h/(h*h**(2/7)/h))**(12/7) assuming h is positive.
h**(144/49)
Simplify (v**(-7))**12 assuming v is positive.
v**(-84)
Simplify ((q*q**(2/3)/q)/q)/(q*q**(-1/2)/q*q*q)*(q/(q/((q/(q*q**(2/7)))/q)*q))/q*q**(-10) assuming q is positive.
q**(-635/42)
Simplify (y/(y*(y/(y**(-19)*y))/y*y))/(y*y*y**(-1/2)*y) assuming y is positive.
y**(-43/2)
Simplify (b/(b*b*(b**(-2)/b)/b))**0*b**(-3)*(b/(b*b*b*b**(-11)))/b assuming b is positive.
b**5
Simplify (p**(-2)*p**(2/7)/p)/(p**(3/2)*p/(p/p**(-5))*p) assuming p is positive.
p**(-3/14)
Simplify (a/(((a**1*a)/a)/a))**(7/5)*a**(3/5)/(a**(-5)*a) assuming a is positive.
a**6
Simplify (j**(2/7)/j*(j*j**(-3/5))/j*j)/(j**(-2/5))**(1/4) assuming j is positive.
j**(-3/14)
Simplify ((p/(p/(p/p**(1/4))))**(-6))**14 assuming p is positive.
p**(-63)
Simplify (l**(-1/4))**(-5/7)*l**2*l/l**(-2) assuming l is positive.
l**(145/28)
Simplify r**(-2)/(r*r**(-5))*r**5/(r*r*r**(-1/3)) assuming r is positive.
r**(16/3)
Simplify x**(3/5)*(x/(x*x**10))/x assuming x is positive.
x**(-52/5)
Simplify ((f**(1/5))**(-1/2))**(-13) assuming f is positive.
f**(13/10)
Simplify x*x**(-1)*x**(7/11) assuming x is positive.
x**(7/11)
Simplify (p**(-12)/p**(7/5))**(-2/19) assuming p is positive.
p**(134/95)
Simplify (h*h**2)**4*(h**(-3))**43 assuming h is positive.
h**(-117)
Simplify ((g/((g/(g**(1/8)/g*g)*g)/g))/g)**(-33) assuming g is positive.
g**(231/8)
Simplify (m**6/m**(-4))/(m**0/m)**(-23) assuming m is positive.
m**(-13)
Simplify (k*k**17)/k**(1/35) assuming k is positive.
k**(629/35)
Simplify (k**(2/9)/k**(2/5))/(k**(1/4))**(-1/13) assuming k is positive.
k**(-371/2340)
Simplify ((y/y**2)/(y*y*(y**(1/14)*y)/y))/((y**(8/5)*y)/((y*y**(-7)*y)/y*y)) assuming y is positive.
y**(-747/70)
Simplify j*j**(2/19)*j**(1/2)*(j*j*j**(-1))**8 assuming j is positive.
j**(365/38)
Simplify (c**(2/3)/(c**(-6)*c))/(c/(c*((c/((c*c**5*c)/c))/c)/c*c)*c*c**4) assuming c is positive.
c**(-16/3)
Simplify (w**(-2)*((w/w**(2/5))/w)/w)/(w**(-1/4))**(-1/16) assuming w is positive.
w**(-1093/320)
Simplify (d/(((d/(d*d**(2/5)))/d)/d))**(-9/5)/(d**(-6)/(d*d/d**2*d*d)) assuming d is positive.
d**(47/25)
Simplify (a*a**3/a*a*a/(a/((a**(2/9)*a)/a)))**(11/4) assuming a is positive.
a**(209/18)
Simplify ((h*h**(1/3)/h)**45)**(-6/35) assuming h is positive.
h**(-18/7)
Simplify x*(x/(x*x**(-3/8)))/x*x**(-17) assuming x is positive.
x**(-133/8)
Simplify b/b**(-5)*b*b**3/b*(b/b**(2/7))**50 assuming b is positive.
b**(313/7)
Simplify (a*a**(-1/6)*a)/a**12 assuming a is positive.
a**(-61/6)
Simplify (r**(20/9))**(-3) assuming r is positive.
r**(-20/3)
Simplify (y**(-4/3)*y*(y*y/(y**(-1/10)/y)*y)/y*y)/(y/(y**(-6)*y)*(y**(1/2)*y)/y) assuming y is positive.
y**(-41/15)
Simplify (d**(-2/7))**(3/23)/(d**(-1))**(1/7) assuming d is positive.
d**(17/161)
Simplify (d**0*d*d*d**4)/(d/d**(1/3))**19 assuming d is positive.
d**(-20/3)
Simplify ((t*t/(t/t**(1/3))*t)/t)/t*t*t**(2/9)*(t**1)**(-13/8) assuming t is positive.
t**(-5/72)
Simplify (r/(r*r*r**(-13)*r*r))/(r*r**45*r*r) assuming r is positive.
r**(-38)
Simplify r**(-2/3)/((r/r**(4/7)*r*r)/r)*(r*(r*r**(2/5)/r)/r*r)/r**(-5/4) assuming r is positive.
r**(233/420)
Simplify (r**(2/9)*r*r**(2/25))/((r/(r/(r/r**(-2/7))*r))/r*r**(-1/11)) assuming r is positive.
r**(36511/17325)
Simplify (t*(t/((t**(-2)*t*t)/t)*t*t)/t)**(-4) assuming t is positive.
t**(-16)
Simplify ((t*t/(t/t**(-2/35))*t)/t)/(t*t*(t*t**(2/3)/t*t)/t) assuming t is positive.
t**(-181/105)
Simplify (l*l*l*l**(-10/3)*l*l)**(-36) assuming l is positive.
l**(-60)
Simplify (g/g**13)/(g**(2/13)*g*g) assuming g is positive.
g**(-184/13)
Simplify (u**12)**0 assuming u is positive.
1
Simplify (x**(-10))**12 assuming x is positive.
x**(-120)
Simplify j**(2/5)*j/j**(-9)*j**(-1/4)/(j**8*j*j*j*j) assuming j is positive.
j**(-37/20)
Simplify ((q*q**(-2/17))/(q/(((q*((q*q**1)/q*q)/q)/q)/q*q)))/(q**1*q*q/(q*q**(-2/5)*q)) assuming q is positive.
q**(-44/85)
Simplify w**(-12/7)/((w/w**(3/8)*w)/w) assuming w is positive.
w**(-131/56)
Simplify ((j/((j/j**(-2/27))/j))/j*j)**(14/11) assuming j is positive.
j**(350/297)
Simplify (m**1*m/((m/(m/(m/m**(-3))*m)*m*m*m)/m))/((m/(m/(m/(m*(m*m**(3/10)*m)/m))))/m**(-1/5)) assuming m is positive.
m**(-19/10)
Simplify (o/(o*o/o**(-8))*(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ z**2 + z. Let y be l(-1). Let p(c) = 13*c - 598. Let x be p(47). What is the greatest common divisor of x and y?
13
Suppose o = -4*k + 62, 8*k - 136 = -2*o + 12*k. What is the highest common divisor of 102 and o?
6
Suppose -5*b = -4*h + 47, 5*h - 50 - 19 = -4*b. Let s = h - 7. Suppose s*q = 9*q - 36. Calculate the greatest common factor of q and 36.
12
Let c(i) = 3*i + 39. Let m be c(-13). Suppose m = 4*g - 1407 + 467. Calculate the greatest common divisor of g and 47.
47
Let j(w) = w**2 + w. Let g = 3 + -7. Let b be j(g). Let d be ((-60)/35)/(2 - 48/21). What is the highest common divisor of b and d?
6
Let w be (0 - -1)*(-2 + -1). Let y(m) = m**3 - 10*m**2 - 22*m - 18. Let f be y(12). Let c be (-43)/w - f/(-9). What is the highest common factor of c and 90?
15
Let f(y) be the second derivative of -2*y**2 - y**3 - y + 0 + 1/12*y**4. Let z be f(8). What is the greatest common divisor of z and 12?
12
Let j be ((-1674)/(-90))/(9/105). What is the highest common factor of 14 and j?
7
Let g(r) = r**3 + 7*r**2 - 4*r + 3. Let b be g(-6). Let y(t) = -2*t**3 + 21*t**2 + 10*t + 32. Let f be y(11). What is the greatest common divisor of f and b?
21
Let p(r) = 2*r**2 + 5*r - 3. Let o be p(4). Let n be (0 - 2)/((-4)/6). Suppose 2*z - 35 = -n*z. What is the greatest common divisor of o and z?
7
Let m(n) = -5*n + 3. Let y be m(-1). Let d(c) = y*c**2 + 2 - 3*c**2 - 4*c**2 - 5*c. Let a be d(6). What is the highest common divisor of a and 24?
8
Let k be (-7)/((-14)/(-34))*-1. What is the greatest common factor of 85 and k?
17
Suppose -13 = 3*o - 49. Let m(b) = 7*b**3 + 5*b + b**2 - 3*b**3 - 4*b**2 - 1 - 5*b**3. Let w be m(-5). What is the greatest common divisor of o and w?
12
Let q(d) = d**3 + 9*d**2 - 20*d + 20. Let n be q(15). What is the greatest common divisor of 80 and n?
80
Let u(o) = o**3 - 8*o**2 - 10*o - 5. Let q be u(10). Suppose -q = -j - 4*j. Calculate the greatest common factor of 57 and j.
19
Let y(j) = -j**3 - 6*j**2 + 5*j - 12. Let a be y(-7). Suppose -7*g = -4*g - 3*o - 33, a*o - 10 = 0. What is the greatest common factor of g and 4?
4
Suppose 2*l - 7 = 25. What is the greatest common factor of 16 and l?
16
Suppose -3*z = a - 5*a + 49, -z - 23 = -3*a. Let f(u) = u**3 + 12*u**2 - 13*u - 16. Let m be f(z). What is the highest common divisor of m and 31?
31
Suppose -18*h - 447 = -1707. Calculate the greatest common factor of h and 56.
14
Let b(q) = q**3 - 24*q**2 + 27*q - 67. Let r be b(23). What is the highest common divisor of r and 800?
25
Suppose 0 = -3*m - m + 64. Suppose 0 = n + a, n - 6*n + 5*a = 0. Suppose n = 4*c - m - 20. What is the greatest common factor of 45 and c?
9
Let m = -2443 - -2451. What is the greatest common divisor of m and 544?
8
Let z(g) = 2*g**2 + g - 8. Let u be 5/((-35)/4)*-7. Let k be z(u). What is the highest common factor of 4 and k?
4
Suppose 10*c - 64 = 6*c. Let n = c + -16. Suppose -2*f + 7*f - 65 = n. What is the greatest common divisor of 91 and f?
13
Let b = 1058 - 486. Let r = b - 286. What is the highest common factor of 26 and r?
26
Suppose 3*f + 0*f + 140 = 5*d, 3*d + f = 70. Suppose -45 = -51*g + 48*g. What is the greatest common factor of g and d?
5
Suppose 5*v = 4 + 6. Suppose 2*m - 5*b + 7*b - 616 = 0, 1540 = 5*m - v*b. What is the highest common divisor of m and 28?
28
Let h = -272 - -405. Suppose 2*q - 3*q - h = -5*j, -j + 2*q = -32. Calculate the highest common factor of j and 13.
13
Suppose y = 3*y + 8. Let b = y - -4. Suppose -4 = -b*r - 4*r. What is the greatest common factor of r and 5?
1
Suppose 0 = 5*r - 2*a - 123, 2*r - a = -2*a + 42. Let c be 1*13/((-169)/(-1196)). Calculate the greatest common factor of c and r.
23
Let m(g) = -g**2 + 9*g - 22. Let c be m(4). Let p be ((-14)/6)/((-2)/492). Let f be p/4 - (-1)/c. What is the highest common divisor of f and 13?
13
Suppose -3*j + d = -11, 4*j = 5*j + 5*d - 9. Let h(o) = o**3 - 13*o**2 + 19*o + 43. Let b be h(11). What is the highest common divisor of b and j?
2
Let w be 57/(((-6)/(-4))/3). What is the highest common divisor of 6 and w?
6
Let u be 6/(-8) + (-9)/(-12). Suppose -4*h = -20, -13 = -u*z - z + 3*h. Calculate the highest common factor of z and 4.
4
Let h(c) = -c**3 - 7*c**2 - 2*c + 10. Let f be h(-8). Let n = -2702 + 2720. What is the greatest common factor of f and n?
18
Let d be 177/6 + (-2)/(-4). Let o be (2 + 684/16)*8. Let q = o + -88. What is the greatest common factor of d and q?
30
Suppose 4*o = -4*x - 10 + 2, 0 = -x - 4*o + 13. Let f = 1 - x. Suppose 0 = -2*p - 8, 0*i - 4*i = 2*p - f. Calculate the highest common factor of 6 and i.
2
Suppose 4*o + 3*y = 6*y + 214, -o - 3*y + 46 = 0. Calculate the greatest common factor of o and 286.
26
Suppose -35 = -7*y - 0*y. Suppose 3*v + 4*u - 79 = -0*v, -4*v - 2*u = -102. What is the highest common divisor of v and y?
5
Let i = 35 - 66. Suppose 0 = 50*n + 1023 + 227. Let o = n - i. Calculate the highest common divisor of o and 30.
6
Suppose z - 392 + 90 = -o, 0 = 5*z - 6*o - 1455. Calculate the highest common divisor of z and 3.
3
Suppose 3*g + 3 = 0, b = -4*b + 4*g + 234. What is the greatest common factor of b and 161?
|
{
"pile_set_name": "DM Mathematics"
}
|
6, what is 11342 + 5?
11351
In base 15, what is 23 + b?
2e
In base 10, what is 33 + -4?
29
In base 5, what is 2401 - -3?
2404
In base 10, what is 2 - -37?
39
In base 5, what is -12032 - -4?
-12023
In base 16, what is 25a - -3?
25d
In base 5, what is -24 + 4?
-20
In base 4, what is -321131 - 11?
-321202
In base 7, what is 1 - -52?
53
In base 13, what is 3c + -a2?
-63
In base 7, what is -5 + -424?
-432
In base 10, what is 0 - -28?
28
In base 15, what is 6 + 21?
27
In base 13, what is -a - 946?
-953
In base 11, what is -143 + -10?
-153
In base 9, what is 0 + -2854?
-2854
In base 14, what is -7 - ca?
-d3
In base 5, what is 21 - 22?
-1
In base 7, what is 5 + -22?
-14
In base 14, what is 11d + 3?
122
In base 11, what is 9 + 151?
15a
In base 7, what is 3 - 26?
-23
In base 11, what is -4 - -85?
81
In base 14, what is 33 + 14?
47
In base 2, what is -11111 - 101101?
-1001100
In base 9, what is -1 + -4363?
-4364
In base 9, what is -5 + -22?
-27
In base 11, what is -2 + -38?
-3a
In base 4, what is 210 + -10?
200
In base 8, what is -203 + -4?
-207
In base 12, what is -34 - 6?
-3a
In base 15, what is -24 - 10?
-34
In base 4, what is 100 + -232?
-132
In base 15, what is 5d0 + -1?
5ce
In base 14, what is -5 + -3cb?
-3d2
In base 6, what is 2 + 213?
215
In base 11, what is -5a - -4?
-56
In base 6, what is 41 - 3?
34
In base 4, what is -110123 - 10?
-110133
In base 6, what is 5010 - -5?
5015
In base 14, what is -13 + 2b?
18
In base 13, what is -112 + 1a?
-c5
In base 2, what is 0 - -111111?
111111
In base 16, what is d9 - -2?
db
In base 4, what is 10 - 1022032?
-1022022
In base 13, what is 0 - 6?
-6
In base 5, what is -4 - -323?
314
In base 14, what is 12 + 15?
27
In base 5, what is -1430 + -2?
-1432
In base 11, what is -7093 - -4?
-708a
In base 13, what is 4 + -93?
-8c
In base 14, what is 4 - 10?
-a
In base 4, what is -20200 + -20?
-20220
In base 3, what is -111 - 1?
-112
In base 2, what is -10 + -10101011?
-10101101
In base 8, what is 4 + 141?
145
In base 5, what is 3 + -33?
-30
In base 9, what is -6568 + -2?
-6571
In base 10, what is -467 - -3?
-464
In base 16, what is -25 - -6?
-1f
In base 11, what is 7a - 11?
69
In base 14, what is -5 - 78?
-7d
In base 11, what is -51 - 21?
-72
In base 6, what is 150 - -3?
153
In base 7, what is -1 + -15?
-16
In base 15, what is 2 + 7?
9
In base 13, what is 5 - 43c?
-437
In base 14, what is -509d - -1?
-509c
In base 2, what is -10 + 110010110001?
110010101111
In base 5, what is -1 - 302?
-303
In base 13, what is 13 + -169?
-156
In base 7, what is 1511 - 4?
1504
In base 3, what is -1002022 - -10?
-1002012
In base 15, what is 72 + 6?
78
In base 15, what is -3 + 33?
30
In base 16, what is -4 - -13c?
138
In base 15, what is -49a5 + 1?
-49a4
In base 4, what is -200 - 1130?
-1330
In base 5, what is 2 + -41?
-34
In base 8, what is 50 + 337?
407
In base 14, what is -5 - 1d?
-24
In base 10, what is -848 - -2?
-846
In base 2, what is -10001 + -110?
-10111
In base 8, what is 5 + 16?
23
In base 6, what is 14344 + 1?
14345
In base 13, what is -4 - -108?
104
In base 3, what is 10 + 200?
210
In base 5, what is -2 + 230?
223
In base 7, what is 6 - 454?
-445
In base 8, what is -10667 + -3?
-10672
In base 9, what is 4 - 22?
-17
In base 10, what is -585 - -1?
-584
In base 15, what is 4 + 158?
15c
In base 4, what is -11 - -202300?
202223
In base 11, what is -3 + 56?
53
In base 12, what is -23 - -4?
-1b
In base 15, what is 5 - -3a?
40
In base 9, what is -535 + 34?
-501
In base 5, what is 4224 - -1?
4230
In base 7, what is 506 - 0?
506
In base 12, what is -535 + -5?
-53a
In base 7, what is -15 + 21?
3
In base 2, what is 11 - 10100100?
-10100001
In base 5, what is -400101 - 4?
-400110
In base 15, what is 8 + -1d?
-15
In base 9, what is 148 - -2?
151
In base 15, what is -a1 - -2?
-9e
In base 6, what is -3 + 212?
205
In base 15, what is 30 + 1?
31
In base 3, what is -1211 - 20120?
-22101
In base 10, what is -3 + -23?
-26
In base 8, what is 250 + 0?
250
In base 3, what is 11202 - 22?
11110
In base 4, what is 21102 + 21?
21123
In base 7, what is -1 + 0?
-1
In base 12, what is -3 - -90?
89
In base 6, what is -441 - 225?
-1110
In base 7, what is 16 + -40?
-21
In base 5, what is 211 - 10?
201
In base 14, what is 0 + -39?
-39
In base 6, what is -11353 - 0?
-11353
In base 11, what is 0 - 268?
-268
In base 14, what is 6a + -b?
5d
In base 15, what is b84 - 1?
b83
In base 7, what is 21 - 106?
-55
In base 15, what is 2 + -7?
-5
In base 16, what is 26 - -5?
2b
In base 7, what is -5 - 20?
-25
In base 16, what is -c - -25a?
24e
In base 16, what is 3c + -7?
35
In base 13, what is -3 - -249?
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3, o?
a
Suppose 0 = -32*i + 30*i + 14. Suppose -k = 2*h, 5*k = 3*h - i*h. Let x = -0.04 + -0.06. What is the nearest to k in x, 3, -1/3?
x
Let w = -5937.02 - -5941. Which is the closest to -0.2? (a) 5 (b) 2/15 (c) w
b
Let p = -187 + 154. Let c = -1.25 - 0.75. Let h be (-15)/(-9) - (-1 - -2). What is the nearest to 0 in p, c, h?
h
Suppose 28 = 5*u + 2*t, -3*u + 4*u - 3*t + 8 = 0. Suppose 3*p = -x + 1, 4*p = -u*x - 1 - 3. What is the closest to x in -4, -1, -16, -5?
-1
Let o be (-2)/19 - 2231/(-437). Which is the nearest to -2/5? (a) -0.4 (b) o (c) 30 (d) 2/29
a
Let l = -2.8 + 2.6. Let k = -53/15 - -16/5. Let h = -216.59 + 216.5. Which is the nearest to 2/3? (a) l (b) h (c) k
b
Let w be (-80)/(-56) - (-88)/(-77). What is the closest to -2/79 in w, 0.4, 15?
w
Let k = 1512/37 + -3135/74. Which is the nearest to -6? (a) -1 (b) 79 (c) 0.1 (d) k
d
Let h(o) be the first derivative of -o**4/4 - 3*o**3 + 11*o**2/2 + 14*o - 2. Let n be h(-10). What is the nearest to -3/2 in n, -3/2, -1/3?
-3/2
Let v = -0.20858 - -0.21858. Let i = -1 + 2. What is the closest to i in 11, v, -5?
v
Let p = -4 - 1. Let r = 1.09276 - 0.09276. Which is the nearest to r? (a) p (b) 2/19 (c) -8
b
Let n = -141/730 + -1/146. Let i = -988 + 1005. Which is the nearest to -1/4? (a) i (b) n (c) -2
b
Let l = 1259/13 - 97. Let t = -33269.4 - -33269. Which is the closest to 1/15? (a) t (b) l (c) -5
b
Let c = 633.5 - 633.7. Let w = -2 - -2. What is the nearest to 2/3 in c, w, -2?
w
Let i = 2/991 + 1340/318111. Let k = -325/642 + i. What is the closest to 1/24 in 2, k, 0.3?
0.3
Let q = 19.31 + -19.11. Suppose -4*t = -3*i + 5, 14 = i - 5*t - 6. Which is the nearest to -1? (a) -4 (b) q (c) i
b
Let v = -901 - -897. What is the closest to -0.2 in -2/7, 4, -1/73, v?
-2/7
Let f = -0.5032 - -0.1032. Let x be 3 - (0 - (2 + 4)). Which is the closest to 1? (a) -4 (b) -2 (c) f (d) x
c
Let v = -2.398 + 1.998. Which is the closest to 0.1? (a) v (b) -0.5 (c) -89
a
Let x = 9681/5 - 1936. What is the nearest to x in -0.91, -3, -5?
-0.91
Let n(h) = h**2 - 9*h - 26. Let k be n(11). What is the nearest to -6 in -3, -12/5, k?
k
Let a = 3.24534 + -0.24534. What is the closest to -2/7 in 0.1, a, -3?
0.1
Let g = -4 + -1. Let z be 1127/245*(-62)/1431. Let c = z - 1/1431. What is the closest to g in 2/3, 1/3, c?
c
Let x = -0.2 + 0.1. Let c = 11690.5 - 11687.1. What is the closest to x in 1/7, -2, c, -4?
1/7
Let p = 18 + -42. Let i be ((-30)/24)/(1/p). Let d be (-30)/(-15) + i/(-14). Which is the closest to -1/4? (a) 0.2 (b) 1 (c) d
c
Let i = 10124 - 10124.1. What is the closest to -2 in -2, i, -4, -0.03?
-2
Let q = -7.9415 - 0.0585. Let y = -26/3 - -79/9. Which is the nearest to -1? (a) y (b) 0.1 (c) q
b
Let s = -0.96 + -1.18. Let m = s - -2.14. What is the nearest to -0.2 in 4, m, 1?
m
Suppose 3*o = -5 - 7. Let x = 0.19941 - 6.19941. Which is the nearest to x? (a) o (b) 5/4 (c) -3
a
Let f be (0 - 9/15)/(5643/(-2090)). Suppose 3*p - 48 = -3*q, 5*q = 3*p - 6*p + 76. Which is the closest to q? (a) f (b) 5/4 (c) 2
c
Let k be (-80)/30 - (-6)/2. Let i = -80.8 + 79.8. Which is the nearest to k? (a) i (b) -19 (c) 1
c
Let v(k) = -89*k + 113. Let l be v(3). Let q be l/(-1064) - (63/(-57) + 1). Which is the nearest to 0? (a) -2/21 (b) -90 (c) q (d) 1/8
a
Let o = -2056 - -2056. Let r = -6 - -10. Suppose r*v + 5*i + 3 = -17, 4*v + 3*i = -12. Which is the closest to o? (a) -23 (b) v (c) -3
b
Let x = -230 + 504.2. Let h = x - 274. Which is the nearest to -1/3? (a) -2/5 (b) h (c) 3
a
Let v = 3.33 + -34.13. Let x = 23 + v. Let q = -5.2 + x. What is the closest to -0.1 in 0.3, q, 0.5?
0.3
Let w = 0.21527 - -2.68473. What is the nearest to -2/9 in -2, 0, 0.5, w?
0
Let q = 1379 + -1378.6. Which is the closest to -1/4? (a) 2502 (b) 1 (c) -3 (d) q
d
Let g = 7681 - 38403/5. Which is the closest to -2/3? (a) -62 (b) g (c) 0.1
c
Let q = 2468 - 2469.9. What is the closest to q in -5, -2, -4, -0.5?
-2
Let h = -0.1 - 1.8. Let v = h + 2. Let p = -741 + 741.3. What is the nearest to 1/4 in 4/5, p, v?
p
Let v = -4/497 + 194/64
|
{
"pile_set_name": "DM Mathematics"
}
|
2 unequal?
True
Which is smaller: 47 or 46?
46
Do 48/13 and 6/7 have the same value?
False
Which is bigger: -375 or -377?
-375
Which is smaller: -6 or 3136?
-6
Which is bigger: -1 or 5/644?
5/644
Is -3 greater than or equal to -7/2?
True
Is 75 greater than or equal to 81?
False
Is 3/77 at most -1?
False
Are -30/6349 and 1 nonequal?
True
Does -41/247 = 0?
False
Do 0 and -23/141 have different values?
True
Is 2 at least 608?
False
Which is smaller: -30/7 or -3?
-30/7
Do 20 and 20 have different values?
False
Is 204 > -0.1?
True
Is -1 != -46/197?
True
Which is greater: -1 or 14/1537?
14/1537
Is 38 >= 31?
True
Are -4 and -0.039 nonequal?
True
Which is smaller: 1/3418 or 0?
0
Is -2375 at least as big as -2375?
True
Which is smaller: -2 or -26/15?
-2
Is -9 at most 17?
True
Is -125 < -128?
False
Which is smaller: -0.2 or 33.24?
-0.2
Which is smaller: -1 or -0.079?
-1
Is 1079 bigger than 1080?
False
Is 4 at most as big as 235?
True
Which is greater: 0.18 or 0?
0.18
Is 53 > 23?
True
Is 1 bigger than -2/3223?
True
Which is smaller: -472 or -471?
-472
Is -54/185 greater than or equal to -1?
True
Is 2/16823 less than 0?
False
Which is smaller: -7 or 563?
-7
Which is bigger: 47/70 or 2?
2
Is -217 smaller than -216?
True
Is 2.7 < 199?
True
Which is smaller: -57 or 4?
-57
Is -7/26 not equal to 0?
True
Is 113/10 smaller than 10?
False
Do -668 and -670 have different values?
True
Is -122 not equal to -123?
True
Which is smaller: -5034 or -5033?
-5034
Is 0.2 bigger than -108?
True
Which is greater: -1/5295 or 0?
0
Are 2 and -5/122 unequal?
True
Is -19/5 at least as big as -2?
False
Is 5/621 bigger than 1?
False
Which is smaller: 5571 or 5569?
5569
Is 921/4 >= 229?
True
Is -9 >= 65?
False
Which is greater: -2 or -306?
-2
Is -0.2 greater than -174/7?
True
Which is bigger: -8/83 or 2/7?
2/7
Is 0 greater than or equal to -2/5883?
True
Do 2/7 and -10.3 have the same value?
False
Is -15225 smaller than -1/4?
True
Which is smaller: -1288 or -11594/9?
-11594/9
Which is bigger: 10 or 22?
22
Is -19 at most as big as -21?
False
Which is bigger: 0 or 25/1113?
25/1113
Does -5176 = -5175?
False
Do 183 and 1277/7 have the same value?
False
Is 522 < 522?
False
Is -1907 less than -1906?
True
Is 0 at least -3/1298?
True
Which is bigger: -56 or 2?
2
Is -23 greater than or equal to 0?
False
Is 437 > 1/2?
True
Is -1.726 smaller than -1/2?
True
Which is smaller: -517 or -2/11?
-517
Which is smaller: -17 or -19?
-19
Is 1 at least as big as 1/1072?
True
Which is greater: -405/2 or -204?
-405/2
Which is smaller: 7533 or 7532?
7532
Which is smaller: -0.1 or 1.553?
-0.1
Is -15344 less than -15344?
False
Which is greater: 16/11 or 11/4?
11/4
Is -79 bigger than -89?
True
Is -2/17 at least -3/22?
True
Is -1038 bigger than -1038?
False
Which is smaller: -8.6 or -8?
-8.6
Which is greater: 1 or 2/783?
1
Do -18 and -18 have different values?
False
Does 4171 = 4171?
True
Does 2/13 = -0.15?
False
Which is smaller: -20 or 1.8?
-20
Is 87 less than 85?
False
Which is smaller: 1071 or 1/4?
1/4
Which is smaller: -1/14 or 22?
-1/14
Is 664 at least as big as 664?
True
Is -14 smaller than -146?
False
Which is greater: 97 or 109?
109
Which is smaller: 80 or 3?
3
Is 1 < 63/1117?
False
Which is smaller: -225/19 or 2/5?
-225/19
Is -8 greater than -0.249?
False
Which is greater: 2/37 or -0.7?
2/37
Is 37/21 less than 2?
True
Is -160 smaller than -160?
False
Is 4.32 at most as big as -1?
False
Is -1 smaller than -7/57?
True
Is -7/17 equal to -1?
False
Which is smaller: 36 or -180?
-180
Which is greater: 572 or 582?
582
Which is bigger: -14 or -12?
-12
Is 269 equal to 269?
True
Which is bigger: -52 or -64?
-52
Which is smaller: 2/5 or -868?
-868
Which is smaller: 1 or 10.752?
1
Which is smaller: 0.1 or -3429?
-3429
Is -114/23 < -5?
False
Which is bigger: 1 or 280.1?
280.1
Is -229 less than -230?
False
Which is smaller: -2/25299 or 2/3?
-2/25299
Is 12 > 17?
False
Are 66/109 and 2 equal?
False
Is -1080 less than -1078?
True
Do -51 and -51 have the same value?
True
Which is bigger: 2 or -1462?
2
Which is greater: -106 or -115?
-106
Which is greater: -1 or -6679/3?
-1
Is 266 at most as big as 266?
True
Is 0 != 1/1581?
True
Do 2/3 and 0.0706 have the same value?
False
Is 277/20 less than 15?
True
Is 2/3 >= -4468?
True
Are 1 and -1/352 unequal?
True
Is -1355 != 1?
True
Is -0.09 less than 12?
True
Is -0.2 equal to 0.042?
False
Is 9169 bigger than 9169?
False
Which is smaller: 229 or -4/7?
-4/7
Which is bigger: -3199 or -5/6?
-5/6
Is 2712 > 10849/4?
False
Is 0.03 != 37/2?
True
Which is smaller: -238/11 or -22?
-22
Is -3225/2 != 2?
True
Which is smaller: -5 or 29?
-5
Which is smaller: 2835 or 2834?
2834
Which is bigger: -0.3 or -13/5?
-0.3
Is -1 at least -21/967?
False
Which is bigger: -738/23 or -33?
-738/23
Is -88 at least -260/3?
False
Which is greater: -500/17 or -28?
-28
Are 2615.5 and -1/4 non-equal?
True
Is 131 equal to 130?
False
Is 139 bigger than 139?
False
Is 12/17 greater than or equal to 0?
True
Which is greater: -1 or 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
-3 + 2 - 36/i. Which is the closest to n? (a) -1 (b) 4 (c) 2
a
Suppose -173*w + 175*w + 488 = 0. Let v be 4 + (8/28 - w/(-70)). Which is the closest to -2/3? (a) -2 (b) 0.5 (c) v
b
Let m = -1 - -0.8. Let o = 10288/7 + -1470. Let r = 0.1 + 0.1. Which is the nearest to r? (a) m (b) o (c) -0.1
c
Let v(x) = -68*x + 335. Let u be v(5). Let i = -9629/4 - -2382. Let r = -26 - i. Which is the closest to 0? (a) r (b) u (c) 2/11
c
Let i(s) = s**3 - 2*s**2 - 4*s - 7. Let k be i(3). Let m be k/5*1/(-2). Which is the closest to m? (a) 0 (b) 5 (c) 0.5
c
Let s = -105 + 104.9. Which is the nearest to 5? (a) -3 (b) -1 (c) s
c
Let w = -11 + 21. Let g be (w/(-6))/((-3)/9). Let h be (-4)/(-6)*(9 + -8). Which is the nearest to h? (a) -0.2 (b) g (c) 3/2
c
Let v = 0.029 - 2.029. Suppose 2*q + 2 = 4. What is the closest to -1/3 in q, v, 4?
q
Let r = -2.1 - -48.1. Let n = -33 + r. Which is the closest to 1? (a) n (b) 2/5 (c) -3
b
Let b = 5434/3 - 1811. Let u be (1 + (-3)/6)*2. What is the closest to u in -6/5, b, -5?
b
Let k be (1/(-12))/(2 + -3). Let u = 100 + -99.4. What is the closest to u in -1, 0, k?
k
Let w = -28 - -15. Let k = -8 - w. Which is the nearest to 0.1? (a) -5 (b) 2 (c) k
b
Let s be -7 - -13 - ((0 - -3) + -1). Which is the nearest to -9? (a) -3 (b) s (c) -4
c
Let k be ((-6)/(-78))/(2/4). Let q = -51 + 463/9. What is the nearest to -1/5 in k, -0.06, q?
-0.06
Let d = -488.3 - -488. What is the nearest to -1/4 in d, 1/8, 10/11, 0.4?
d
Let x = 325 - 320.06. Let u = x - 5. Let l = u - -0.16. Which is the nearest to -1? (a) l (b) -0.1 (c) -0.4
c
Let s = 0.02 - 0.52. Which is the nearest to 1? (a) -5 (b) -1 (c) 0 (d) s
c
Let t = -0.136 + 0.236. What is the nearest to -0.1 in 26, 1, -0.5, t?
t
Let o be ((-1)/6)/(65/39). Let h = -0.01 + 0.11. What is the nearest to h in o, 1, 2/11?
2/11
Let w = -5273/7 + 753. Let u = 0.3 - 0.4. Which is the nearest to 0? (a) u (b) w (c) -3/2
a
Suppose 2*f + s + 20 - 198 = 0, 89 = f - 4*s. What is the closest to f in -1, -0.5, -2/3?
-0.5
Let q = 0.516 - 0.63. Let n = -0.086 + q. Let o = 241/3 + -81. What is the nearest to 0.1 in o, n, 2?
n
Let y = -5 + 3. Let p = 7.43 - 7.53. What is the nearest to -1/3 in 1/9, p, y?
p
Let i = 4 + -6. Let h = 443.1 + -443. Let s(u) = -u - 1. Let g be s(-2). Which is the closest to i? (a) 0 (b) h (c) g
a
Let m be 2/21*24/8. Let h = 0.837 + 0.163. Which is the closest to 0.2? (a) h (b) m (c) 0.1
b
Suppose 3*u + 1 + 2 = 0. Let k be (-6)/(-3)*1 - 48/26. Let t = -1 - -1. Which is the nearest to t? (a) u (b) 4 (c) k
c
Let w = 7/20 - 3/5. Let f = 17/30 + -1/6. What is the closest to f in -1/3, 1, w?
1
Let r = 8.63 - -0.37. Let n = 11 - r. What is the closest to n in 0.1, 2, 1?
2
Let k = -131/91 + 9/7. What is the nearest to k in 1/6, 2/7, 0?
0
Suppose 0*s + s - 5 = z, -s = -2. Let d be (z/(-5))/((-7)/(-5))*7. Let m = 0.1 - 0.2. Which is the nearest to 2/15? (a) m (b) d (c) 0.5
a
Let m = -0.3 + 2.3. Let p(h) = -h**2 + 2*h + 2. Let l be p(3). Which is the closest to 4? (a) l (b) 0.2 (c) m
c
Let g(u) = -7*u**2 + 1. Let i be g(1). Let p = -0.222 + 0.122. Which is the nearest to 0? (a) i (b) p (c) 0
c
Let g = 5567/340 + 32/85. Let i = g - 35/2. Which is the closest to -1? (a) 0.7 (b) i (c) 0.4
b
Let k = -44 - -173/4. Let u = -92 - -457/5. What is the closest to 1/2 in 4/15, u, k?
4/15
Let d = -21.6 + 15. Let f = 21.6 + d. Which is the closest to -0.1? (a) 1/3 (b) f (c) -2/5
c
Let m(k) = 2*k**2 + 54*k + 196. Let d be m(-23). What is the nearest to -3 in d, 0.03, 3?
0.03
Let z = -64.951 + -0.049. Let m = z + 64.7. Let l = 62/2025 + 4/81. Which is the nearest to m? (a) -3 (b) -5 (c) l
c
Let g(o) = -4*o**2 - 6*o. Let k be g(-2). What is the nearest to 1 in -6, k, 3?
3
Let o = -7.1 + 1.1. Let j = 5 - o. Let v = -216 + 215. What is the closest to v in j, 0.5, 4?
0.5
Let y = -0.854 + 0.494. Let v = -2 + 2.16. Let o = y + v. Which is the nearest to 0.1? (a) -4/7 (b) -3 (c) o
c
Let i = 0.353 + -0.553. What is the nearest to i in -7, 4/7, -0.2?
-0.2
Let n be (52/3)/(4/6). Suppose 0 = n*h - 27*h + 4.
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve 2*j = -3*s + c*s + 4, 4*j - 12 = -3*s for s.
4
Suppose -3*k + 3 = -102. Let w = k + -32. Solve 2 - 7 = -x - 4*c, 2*x + w = 5*c for x.
1
Suppose 26 - 1 = -2*h + 5*o, 2*h + 55 = -5*o. Let d = -17 - h. Let t be 4 + (5 - d - 3). Solve 3*n = -t*r - r - 18, 5*r = -2*n - 19 for n.
-2
Suppose 7*w + 24*w = 248. Solve 5*u - 4*d - 11 = 0, 5*u + 2*d = -5 - w for u.
-1
Let p be 2*(171/(-6))/1. Let h = 59 + p. Suppose 0 = -2*s + 5*l - 11, -4*s - 4*l = -32 + 12. Solve -s*t - h*x = 0, 0 = 3*x + 2*x - 5 for t.
-1
Suppose -6*n + 3*n = 99. Let z = 38 + n. Solve 3*k + 7 = -2*b, -4*k + k + 4*b = -z for k.
-1
Suppose 206 - 136 = 14*p. Solve -2*q - 16 = 4*s + q, 4*s - p*q - 16 = 0 for s.
-1
Let m(q) = -9*q + 47. Let b be m(5). Solve 4*k - 10 = -b*j, -2*k = -3*j - 20 - 5 for k.
5
Let b = 1557 + -1521. Solve 4*j = 4*v - b, 0 = 4*v - 3*j + 17 - 49 for v.
5
Let l be 90/(-3) + 4 + -6. Let o = 38 + l. Solve -4*d - 2 = -2*v, -3*d - 9 = -o*v + 3*v for d.
2
Let h = 3 + 1. Suppose 5*r = h*u - 23, 5*r = u - 2 - 15. Solve 5*b = u*f - 0*f + 10, -2*f - b = -14 for f.
5
Let x = -124 - -124. Suppose -305*o + 308*o - 33 = x. Solve u - 8 = -r, -3*r = u - 5 - o for r.
4
Let v be 34/(-9) - -4 - 169/(-9). Solve -4*o - h - 2 = -20, -3*o + 2*h + v = 0 for o.
5
Let l = 14 - 4. Suppose -4*h = -6 - l. Suppose -4 - h = -2*p. Solve -2 = 2*w - p*x, 4*w = -0*w + x + 3 for w.
1
Suppose 2*s = -2*p - s - 5, -8 = 2*p + 4*s. Let f(w) = w**2 - 3*w**2 + 10 - 4*w**2 + 5*w**p + 5*w. Let o be f(6). Solve 10 = -6*j + 4*j - o*i, j = -i - 4 for j.
-3
Let d = -798 + 801. Solve -3*g - 4 = g + 2*l, 0 = g + d*l + 6 for g.
0
Suppose -6*a + 12 + 0 = 0. Solve -3*f - 8 = -2*y - f, 18 = a*y - 4*f for y.
-1
Let k(w) = -6*w + 5. Let l be k(-2). Solve -2*p = 5*o - l, p + 17 = 4*o - 7 for o.
5
Suppose -7*q + 17*q = 70. Solve -z - 4*k + 2*k = -3, q = -5*z + k for z.
-1
Let n be 6 + 3/(-12)*0. Suppose -z + n*z = 105. Let g = 24 - z. Solve -2*c - g = m, 0 + 2 = 3*c - 5*m for c.
-1
Let x be -23*2/(1 - -1). Let c = -159 - -185. Let z = x + c. Solve -5*l = -3*l - 3*u - z, 5*l + u = -18 for l.
-3
Let k be 12/15 - 32/(-10). Solve -x = -5*l + k, -9 = -2*l + 4*x + 7 for l.
0
Let y(j) = j + 5. Suppose 6 - 12 = 2*h. Let g be y(h). Solve 4*s = g*c - 5*c + 4, 5*s = 5*c + 5 for c.
0
Let i be 26/6 - (95/15 - 7). Solve 15 = i*n, -2*n - 1 = 2*c - 9 for c.
1
Let d(l) = 2*l**2 + 7*l - 2. Let r be d(-4). Solve -3*c - r*c = 15, 2*b - 2*c = 2 for b.
-2
Let w(u) = -u + 11. Let n be w(7). Solve -3*v = -4*b - 24, -1 + 9 = -n*b - v for b.
-3
Suppose -67 + 37 = -6*i. Solve -f - 3 = i*s + 10, 5*s - 5 = 5*f for s.
-2
Let m be (1 + 0)*0/1. Suppose 3*u = -0*a - 2*a - 3, -4*u + 5*a + 19 = m. Suppose 29*o - 28*o - 3 = 0. Solve -5*v + 32 = -4*b, o*b + v = -v - u for b.
-3
Suppose -4*q = 166 - 38. Let v = 36 + q. Suppose 2*n - 6*n - l + 10 = 0, -2*n - 5*l = 4. Solve g - 2 = -v, k - n*g = 2 for k.
-4
Let b(c) = c + 7. Suppose 0*z - 17 = 5*z + y, 2*z + 2 = 2*y. Let j be b(z). Solve 3*l + 4*f + 15 = -12, -j*f = 5*l + 37 for l.
-5
Let s(x) = x - 1. Let n(h) = h**2 + 4*h + 1. Let o(i) = -n(i) - 6*s(i). Let z be o(-10). Suppose z*c - 9 - 6 = 0. Solve c*t + 25 = 2*b, b + 3*t + 15 = -t for b.
5
Let c(d) = -d**3 - d**2 - 2*d + 8. Let p be c(0). Suppose -f + g - p = -4*f, -5*f + g + 8 = 0. Solve f*k + 17 = 3*r, -23 = 5*k - 0*k - r for k.
-4
Let g(v) = -v**3 + 4*v**2 - v - 2. Let l be g(3). Suppose o + 0 = 5. Suppose -3*n + 4 = -o. Solve -2*m + 4*c = 5*c + 14, -l*c - 31 = n*m for m.
-5
Suppose 12*n - 13*n = -1. Let m be n*-4*(-1)/2. Solve m*t + 4 = 0, 4*w + 3*t - 5*t = 8 for w.
1
Let d be (1 - 1)/(-28 + 31). Solve 3*n - 11 = -2*y, -y - 5 = -d*y - 2*n for y.
1
Let d(h) be the second derivative of -h**4/12 - 5*h**3/3 + 27*h**2/2 - 11*h. Let t be d(-12). Solve -t*q - 3 = -2*g + 2, -3*g = -5*q - 10 for g.
-5
Let d(f) = -2*f**3 - 3*f**2 + 1. Let x be d(-2). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
omposite number?
False
Is 64811 a composite number?
False
Is 60017 a prime number?
True
Is 2073 a prime number?
False
Is 4979789 a prime number?
True
Is 9643 composite?
False
Is 25393 composite?
True
Is 6866257 prime?
True
Is 55987 prime?
True
Is 7670833 composite?
False
Is 289241 a prime number?
True
Is 497459 composite?
True
Is 8461 a composite number?
False
Is 91115 a prime number?
False
Is 2797 prime?
True
Is 35201 a prime number?
True
Is 134678 a composite number?
True
Is 17897 prime?
False
Is 16237 a prime number?
False
Is 24995 prime?
False
Is 442961 composite?
False
Is 1475359 prime?
False
Is 63463 a composite number?
False
Is 5839 composite?
False
Is 895 composite?
True
Is 78427 composite?
False
Is 21295 prime?
False
Is 34211 prime?
True
Is 27923 composite?
True
Is 1824673 a prime number?
True
Is 17103 prime?
False
Is 13495 a prime number?
False
Is 663517 a composite number?
False
Is 16349 prime?
True
Is 78079 a prime number?
True
Is 110527 a prime number?
True
Is 65321 a prime number?
False
Is 16883 composite?
False
Is 149 a composite number?
False
Is 438539 a prime number?
False
Is 47567 composite?
True
Is 7327 a composite number?
True
Is 328709 a prime number?
True
Is 15877 prime?
True
Is 3101 a prime number?
False
Is 8259 prime?
False
Is 4321 a composite number?
True
Is 143621 composite?
True
Is 206 prime?
False
Is 6711 composite?
True
Is 650213 composite?
False
Is 35669 composite?
True
Is 21253 a composite number?
True
Is 3910403 composite?
True
Is 113845 a composite number?
True
Is 37139 a prime number?
True
Is 197887 a composite number?
False
Is 19457 composite?
False
Is 67679 composite?
False
Is 467351 a composite number?
True
Is 2831 a prime number?
False
Is 134579 a composite number?
True
Is 62851 a composite number?
False
Is 210667 composite?
True
Is 7747 a prime number?
False
Is 451 composite?
True
Is 12191 prime?
False
Is 1582297 composite?
False
Is 2779 prime?
False
Is 2789 prime?
True
Is 923 a prime number?
False
Is 25031 composite?
False
Is 2669167 a composite number?
False
Is 106447 composite?
True
Is 13085 a composite number?
True
Is 107021 composite?
False
Is 1049951 composite?
True
Is 16787 composite?
False
Is 482939 a composite number?
True
Is 108473 a composite number?
True
Is 43107 a composite number?
True
Is 22459 a composite number?
True
Is 51469 composite?
True
Is 110119 composite?
False
Is 192505 a composite number?
True
Is 99565 a composite number?
True
Is 79617 prime?
False
Is 3233 prime?
False
Is 7985 a composite number?
True
Is 99103 a composite number?
False
Is 37049 prime?
True
Is 43207 a prime number?
True
Is 10529 a composite number?
False
Is 115886 a composite number?
True
Is 212057 prime?
True
Is 22501 composite?
False
Is 233749 composite?
True
Is 337 a prime number?
True
Is 21145 a composite number?
True
Is 114463 prime?
False
Is 1993 a composite number?
False
Is 12323 a prime number?
True
Is 178747 a prime number?
False
Is 178021 a prime number?
True
Is 136301 composite?
True
Is 28151 a composite number?
False
Is 9277 a composite number?
False
Is 14187 a composite number?
True
Is 111467 prime?
True
Is 407059 composite?
False
Is 86 a prime number?
False
Is 241971 prime?
False
Is 77053 a prime number?
False
Is 2053 a composite number?
False
Is 63697 composite?
False
Is 44683 a composite number?
False
Is 15911 composite?
True
Is 225919 composite?
False
Is 8209 composite?
False
Is 139393 a prime number?
True
Is 325447 a composite number?
False
Is 39409 composite?
False
Is 122641 prime?
False
Is 5501 a composite number?
False
Is 270947 composite?
True
Is 33703 a prime number?
True
Is 89321 prime?
False
Is 55889 prime?
True
Is 1907339 composite?
True
Is 13835 composite?
True
Is 2357 prime?
True
Is 2011507 composite?
False
Is 3683 prime?
False
Is 24841 composite?
False
Is 6143 a composite number?
False
Is 41719 composite?
False
Is 6353 composite?
False
Is 7669 composite?
False
Is 564401 a prime number?
True
Is 1006909 composite?
True
Is 24193 composite?
True
Is 11959 a composite number?
False
Is 45973 composite?
True
Is 1111 a composite number?
True
Is 4785581 prime?
True
Is 379199 a prime number?
True
Is 27087 prime?
False
Is 241771 prime?
True
Is 11665 a prime number?
False
Is 22897 a composite number?
True
Is 72421 a composite number?
False
Is 3427 a prime number?
False
Is 721439 a composite number?
False
Is 142465 prime?
False
Is 4861 a composite number?
False
Is 2777 a composite number?
False
Is 139661 a composite number?
False
Is 1371803 a prime number?
True
Is 233617 prime?
True
Is 10589 a composite number?
False
Is 6437 composite?
True
Is 668201 composite?
False
Is 4006 composite?
True
Is 81751 a composite number?
True
Is 51607 a composite number?
False
Is 257899 a prime number?
False
Is 5333 a prime number?
True
Is 12941 prime?
True
Is 449727 prime?
False
Is 17677 composite?
True
Is 7019 composite?
False
Is 13441 prime?
True
Is 51929 a prime number?
True
Is 2917 a prime number?
True
Is 30106 a prime number?
False
Is 74549 a prime number?
False
Is 427121 a composite number?
True
Is 11777 prime?
True
Is 2927 a composite number?
False
Is 1151 composite?
False
Is 7493 a composite number?
True
Is 24749 composite?
False
Is 3137 prime?
True
Is 10640489 a prime number?
True
Is 138101 composite?
False
Is 831787 a composite number?
True
Is 34913 a composite number?
False
Is 1015433 composite?
False
Is 36602 prime?
False
Is 22927 composite?
True
Is 3235 composite?
True
Is 1436563 a prime number?
True
Is 110407 composite?
True
Is 33665 a prime number?
False
Is 11707 prime?
False
Is 16333 prime?
True
Is 453517 a composite number?
True
Is 46901 a prime number?
True
Is 150701 prime?
False
Is 451 composite?
True
Is 1407997 prime?
True
Is 39079 prime?
True
Is 13603 prime?
False
Is 3193 a composite number?
True
Is 25157 prime?
False
Is 84779 a composite number?
True
Is 251 composite?
False
Is 814439 prime?
False
Is 220123 prime?
True
Is 259054 a prime number?
False
Is 776219 a composite number?
False
Is 929497 a composite number?
False
Is 19273 a prime number?
True
Is 77317 a composite number?
False
Is 44309 a composite number?
True
Is 32779 a composite number?
False
Is 1120271 prime?
True
Is 5923 composite?
False
Is 1823 prime?
True
Is 9305 prime?
False
Is 880529 a prime number?
False
Is 35273 composite?
True
Is 1848923 a prime number?
True
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest to c in d, 2/15, k?
2/15
Let h = -11 - -13. Suppose -3*z = -0*f + 2*f - 157, 0 = 3*f - 5*z - 188. Let w = f - 68. Which is the closest to h? (a) w (b) 2 (c) -2
b
Let y(d) = 195*d + 6838. Let r be y(-35). What is the closest to 38 in 5, 0.2, r, -2/5?
r
Let q = 4451 - 4450.3. What is the closest to 2/11 in -0.1, -2/7, -1, q?
-0.1
Let t = 69 - 104. Let q = -0.022 - 34.978. Let d = t - q. What is the nearest to d in -5, 0.5, 0.4?
0.4
Let d = -1911 + 9551/5. What is the nearest to 2 in 2/965, d, 2?
2
Let i(s) = 2*s**2 + 86*s + 668. Let f be i(-33). What is the closest to 0 in 0.3, 7, f?
0.3
Let w = 10 - 10.5. Let m = -18305 + 18304.9. What is the nearest to m in w, 8/7, 3/7?
w
Let l = 0.2 - 0.1. Let i = -783518/7 + 111932. What is the nearest to -2/7 in i, -0.3, l?
-0.3
Let w = -0.0184 + 3.6884. Let n = w + 0.33. Let u = -2.048 - -0.048. What is the closest to 4 in 0, u, n?
n
Let h be 9 + 0*(-2)/(-20) + -5. Let z = 3 + -5. Which is the nearest to -1/14? (a) h (b) -5 (c) z
c
Let k = -308 + 151. Let p = k - -161. What is the nearest to 1/2 in -4, 2, p?
2
Let z = 2/149 - 207/4321. Let j = z + 92/145. Let w = -141/52 + 32/13. Which is the nearest to j? (a) 0.4 (b) -2/5 (c) w
a
Let s = 22.96 - 18.96. What is the nearest to 1/5 in -4, -0.06, s, -1/3?
-0.06
Let i = 21208/15 - 1414. Suppose -2*m = -2*k + 8 + 4, -2*m - k - 6 = 0. Let j be ((-1)/(-3))/(m/(-48)). Which is the closest to i? (a) 0 (b) j (c) 3
a
Let f be (-2)/(-2) - 8/(-6)*-3. Let b be f/(-2) + 93/(-62). What is the nearest to b in 5, 15/2, -1/7?
-1/7
Let y = 3.299 + 0.701. What is the closest to 1/4 in y, 5, -0.2, -199?
-0.2
Let x = -18.114 - -22.114. What is the closest to 1/3 in 0.7, -31, x?
0.7
Suppose 0 = 16*q + 614 + 106. Let k be (-2)/2*(-15)/q. Let y = -4.2 - -4. Which is the nearest to 2? (a) -2 (b) k (c) y
c
Let p = -0.56 - -19.56. Let n = 21 - p. Let y = -0.19 + 0.09. What is the closest to n in y, 5, 1/3?
1/3
Let j be ((-4)/42)/((-269)/(-807)). What is the closest to 0 in -10, 4, j, 0?
0
Let r be (-25 - -21)/(2/(-61)). Let f = r + -164. Which is the nearest to -1? (a) f (b) 0.4 (c) 3
b
Let r = -1.652 + 1.552. What is the closest to r in -4, 1/2, 0.1, -3/7?
0.1
Let o = 1 + 0. Let a = 10637 + -117009/11. Let g = 3/26 - -18/13. What is the closest to -0.1 in a, g, o?
a
Let q be ((-10)/12)/((-90)/20). Let s = 4/27 + q. Let p = -8.38 - -1.38. Which is the nearest to -0.1? (a) s (b) 0.4 (c) p
a
Let h = -4 - -2. Let r = 2976/7565 + 10/1513. What is the nearest to 0 in r, 10, h?
r
Let m(i) = -i - 1. Let z be m(4). Suppose 6 = 4*h + 14. Let v be (-6 + 198/32)*h. Which is the closest to -1/6? (a) 5 (b) v (c) z
b
Let n(d) = -d**3 - 3*d**2 - 36*d - 3. Let x be n(0). Let m be (-5)/((-20)/56) - 2. Which is the nearest to m? (a) x (b) 0.3 (c) 3
c
Let v(o) = -o**2 - 7*o - 1. Let c be v(-7). Let u(y) = 3*y**2 - 18*y + 16. Let s be u(5). What is the closest to 7 in c, s, -0.3?
s
Let f = 6324/67 - 69698/737. Let q = -242/5 - -49. Which is the nearest to -2? (a) f (b) q (c) -1 (d) -0.2
c
Suppose 0 = 4*k + 5*w + 3, 5*k + w - 11 = 1. Suppose 3 = -18*a + 93. Suppose -a*i = -5*l - 15, -i = 4*i + 5*l - 15. What is the nearest to k in 1/4, i, 2/31?
i
Let t be 3/(1/188*-2). Let q = 1413/5 + t. Let g = -0.4 + 3.4. Which is the closest to 1? (a) -5 (b) g (c) q
c
Let l = -17/2 + 183/22. Let f = 1/6139 + 12275/18417. Which is the nearest to -49? (a) l (b) -5 (c) f
b
Let d = 2 + -1. Let u be (-23)/3312*-12*4. What is the nearest to d in 0.3, u, 0.4?
0.4
Suppose -2*y + 5*l = 8, 2*y - y - 5*l = -14. Let t be 7 - (-3)/y*-12. Let m be 2/(-2) + (-3)/(-7). Which is the closest to t? (a) -0.1 (b) 0.3 (c) m
b
Let p = -64 - -42. Let v be ((-1)/2)/(99/p). Which is the nearest to 0? (a) 1 (b) 4/5 (c) v
c
Let d be 2*2/(-22)*1. Let g = 6.11 - 0.11. Let q be (11 - 6 - 11)/(12 - 26). What is the nearest to -1/2 in d, q, g?
d
Let i = -3500 + 3502. Which is the closest to -3? (a) 4 (b) i (c) 3
b
Let g be (2/5)/(((-8)/(-14))/((-9890)/(-301))). What is the nearest to 2/7 in -1/6, -0.5, g, 0?
0
Let f(s) = s**3 - 60*s**2 - 57*s - 244. Let q be f(61). Suppose 2*o - 2*y - 16 = 0, -y = -0*y + 5. Which is the nearest to q? (a) 0 (b) o (c) 4
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
False
Is 19604037 a prime number?
False
Is 21738685 prime?
False
Is 431088913 a prime number?
True
Is 1596941 a composite number?
False
Is 327447517 prime?
False
Is 1688041 composite?
False
Is 4284809 a prime number?
True
Is 74473513 prime?
True
Is 36946883 a prime number?
False
Is 40851253 a prime number?
True
Is 144883771 a prime number?
True
Is 44678611 composite?
False
Is 126865507 a composite number?
True
Is 719103041 prime?
True
Is 43974779 prime?
True
Is 378116029 a prime number?
True
Is 13823147 a composite number?
True
Is 9304054 a composite number?
True
Is 1521281 a prime number?
True
Is 189246503 prime?
True
Is 63199493 composite?
True
Is 315671 a prime number?
True
Is 9883441 a composite number?
False
Is 78038579 prime?
False
Is 722365181 a composite number?
True
Is 8457443 a composite number?
False
Is 101368711 composite?
False
Is 5855789 a prime number?
False
Is 2739043 a composite number?
False
Is 45755839 a composite number?
False
Is 178756097 a prime number?
False
Is 1108763 a composite number?
True
Is 2985371 composite?
True
Is 1051567 prime?
False
Is 957529 a prime number?
True
Is 7447541 a composite number?
False
Is 44672305 composite?
True
Is 14940923 a composite number?
True
Is 1637221 a prime number?
True
Is 132782147 a prime number?
False
Is 75490867 a composite number?
False
Is 195748037 a prime number?
False
Is 21347 a composite number?
False
Is 169078409 a composite number?
False
Is 839093 a prime number?
False
Is 6841147 a composite number?
False
Is 30104803 a prime number?
False
Is 52566547 a prime number?
False
Is 39860387 prime?
False
Is 248484851 composite?
False
Is 133901089 a composite number?
True
Is 17137 prime?
True
Is 110247 composite?
True
Is 10030529 prime?
True
Is 8426977 a composite number?
True
Is 199512707 a prime number?
True
Is 4905377 a composite number?
False
Is 32861699 prime?
False
Is 28222819 a composite number?
False
Is 17806219 a composite number?
False
Is 246305029 prime?
False
Is 26287927 a prime number?
True
Is 503665 composite?
True
Is 34593101 a prime number?
True
Is 100021907 a composite number?
True
Is 29421173 a composite number?
False
Is 28253455 composite?
True
Is 2146271 a prime number?
False
Is 9565597 composite?
True
Is 2472485 a composite number?
True
Is 6605777 a composite number?
True
Is 7095541 composite?
True
Is 2099783 composite?
True
Is 24072299 a composite number?
False
Is 257053 a composite number?
False
Is 368426507 a composite number?
True
Is 45044381 a prime number?
False
Is 830647847 a prime number?
False
Is 621289 a prime number?
True
Is 6667921 prime?
False
Is 38940299 prime?
False
Is 2103301 a composite number?
False
Is 170370167 prime?
False
Is 4114757 a prime number?
False
Is 141478597 composite?
True
Is 261985319 prime?
False
Is 4169161 a composite number?
False
Is 30297733 composite?
False
Is 28995955 prime?
False
Is 82835222 a composite number?
True
Is 11286673 prime?
False
Is 6583217 composite?
True
Is 2416951 a composite number?
True
Is 90894797 a composite number?
True
Is 1370141 a prime number?
False
Is 17442377 prime?
True
Is 48941645 a prime number?
False
Is 14007559 a prime number?
True
Is 9485599 a composite number?
False
Is 1504883 prime?
False
Is 115992667 a prime number?
False
Is 1965619 a composite number?
False
Is 53555497 prime?
True
Is 2758291 a prime number?
True
Is 3165217 composite?
True
Is 10677827 prime?
False
Is 1388591 composite?
True
Is 119615534 composite?
True
Is 202661 prime?
True
Is 52633367 a prime number?
True
Is 9937561 a composite number?
False
Is 141810817 prime?
False
Is 1037158 a prime number?
False
Is 568761229 a prime number?
True
Is 144061615 composite?
True
Is 22777967 composite?
False
Is 1017437 composite?
False
Is 9710989 composite?
True
Is 430316569 prime?
True
Is 71663287 composite?
False
Is 2900189 a composite number?
False
Is 1942127 prime?
False
Is 11878753 composite?
False
Is 652955701 a composite number?
False
Is 17125147 composite?
True
Is 246159359 composite?
False
Is 71141363 composite?
True
Is 1069247 prime?
False
Is 186942101 a composite number?
False
Is 104190641 composite?
False
Is 302141959 prime?
False
Is 26599279 composite?
True
Is 7310477 prime?
False
Is 15363869 prime?
False
Is 5064733 a prime number?
False
Is 9491993 a composite number?
True
Is 71266571 prime?
True
Is 157478777 prime?
True
Is 62345677 a composite number?
False
Is 12825913 prime?
True
Is 175941817 a composite number?
True
Is 314622431 a prime number?
True
Is 1096736243 composite?
False
Is 14646026 a prime number?
False
Is 6795221 prime?
True
Is 24161713 a composite number?
True
Is 46902131 composite?
False
Is 277667645 a prime number?
False
Is 7121473 composite?
False
Is 23264239 a prime number?
False
Is 1238376743 composite?
False
Is 88437463 composite?
False
Is 4104449 a composite number?
False
Is 2651867 composite?
False
Is 1089059 a composite number?
True
Is 17722411 a composite number?
True
Is 11764693 composite?
False
Is 2151701 a composite number?
False
Is 6204603 a prime number?
False
Is 881779 composite?
False
Is 209207 composite?
True
Is 43349105 a composite number?
True
Is 55470781 composite?
False
Is 214129451 prime?
True
Is 8044033 composite?
False
Is 759521 prime?
False
Is 29741317 a prime number?
False
Is 824833 a prime number?
True
Is 11195989 prime?
False
Is 50435921 a prime number?
False
Is 21318727 composite?
False
Is 7825679 a prime number?
False
Is 2166197 composite?
True
Is 1259287 prime?
True
Is 41645501 prime?
True
Is 7323269 prime?
False
Is 11174351 a prime number?
True
Is 2167703 composite?
False
Is 2415169 composite?
True
Is 15879113 a prime number?
False
Is 854389583 composite?
False
Is 40997 a composite number?
True
Is 2536241 a prime number?
True
Is 18581313 prime?
False
Is 16519765 a composite number?
True
Is 781397 composite?
False
Is 686593 composite?
False
Is 5988769 prime?
True
Is 113967311 composite?
False
Is 137872559 prime?
False
Is 3017845 a prime number?
False
Is 4898987 prime?
False
Is 1597591 a composite number?
True
Is 21441523 composite?
False
Is 4900097 a composite number?
True
Is 426757 a prime number?
True
Is 9116707 prime?
True
Is 4795
|
{
"pile_set_name": "DM Mathematics"
}
|
m be 3/(-9) + (-4)/(-3). Let i(o) = -o**3 + 21*o**2 - 37*o - 14. Let h be i(19). What is the greatest common factor of h and m?
1
Let y be 24 - 1/((-6)/36). Suppose 2*j - 2*h - h - 8 = 0, j = 4*h + 4. Suppose g - j*g + 30 = 0. Calculate the greatest common divisor of y and g.
10
Suppose 0 = 4*t + t - 20. Suppose 4*x + 2*k + 4 = 0, 0 = 4*k + 10 + 6. Suppose -x + 4 = h, 51 = t*v + 5*h. Calculate the greatest common factor of v and 99.
9
Let v be 30/8 - (-21)/(-28). Let x be 10 - (-3 + 0)/v. Calculate the highest common factor of 1 and x.
1
Suppose 15 = 3*g - 2*g. Let y be (g + -2)/((-7)/(-112)). What is the greatest common factor of 26 and y?
26
Let z(k) = k**3 + 6*k**2 - 3*k + 52. Let d be z(-7). Calculate the greatest common divisor of d and 24.
24
Let d(g) = 6*g + 3. Let z be d(6). What is the highest common divisor of 13 and z?
13
Suppose 5*h = 8*h - 135. What is the greatest common factor of h and 18?
9
Let t(r) = r**3 + 5*r**2 - 2*r - 6. Let g be t(-5). Suppose 0 = 3*s + g - 67. Calculate the greatest common divisor of s and 126.
21
Suppose -5*r + x + 49 = -x, r - 4*x = -1. Let h = -7 + r. Let d = h + 5. Calculate the greatest common factor of 63 and d.
9
Suppose 2*w + b = 212, 4*w - 289 = 2*b + 151. Calculate the highest common divisor of w and 12.
12
Suppose -4*m = 2*w - 6, 4 - 2 = -2*w. Let a(q) = -q**2 - m + 3*q - 4*q + 1 - 7*q**3. Let d be a(-1). What is the highest common divisor of d and 12?
6
Suppose -35 = -2*x + 3*j + 2*j, -5*x + 38 = 4*j. What is the greatest common factor of x and 10?
10
Let n = -155 + 239. Calculate the greatest common divisor of 56 and n.
28
Let b = 95 + -80. What is the greatest common factor of 60 and b?
15
Let j(u) = -u + 8. Let o be j(6). Let l be 3 - o - (0 + 1). Suppose l = 2*c + 3*c - 65. What is the highest common divisor of 65 and c?
13
Suppose -3*s - 5 = -2*z + 5, 2*z - s = 14. Suppose 0 = -3*f - v + 36, z*v - 48 = -3*f + 3*v. What is the greatest common divisor of 22 and f?
11
Suppose 0 = -2*m - 2*r + 12, -5*r + 2*r = -4*m + 31. What is the highest common divisor of m and 28?
7
Let v(z) = z**3 - 3*z**2 - 6*z + 1. Let q be v(5). Let k(o) = -4*o - o**2 - 9 + 2*o**2 + o**2. Let b be k(-9). Calculate the greatest common factor of q and b.
21
Let q be (-2)/7 + (-32)/(-14). Let y be ((-28)/5)/(8/(-20)). What is the highest common factor of q and y?
2
Let a(t) = 1 + t + 9 - 1. Let v be a(-4). Suppose 105 = h + 2*h. What is the greatest common divisor of v and h?
5
Suppose 16 = -2*d - 2*d. Let l = 1 - d. Calculate the greatest common divisor of l and 55.
5
Let a = 2 - 3. Let w be (1 + a)/(1 - -1). Suppose 2*k - 4*k + 3*z = -31, w = 2*k - 4*z - 36. Calculate the highest common factor of 2 and k.
2
Suppose 4*f + 129 - 35 = 3*w, 0 = -3*w + f + 91. Let t = 17 - 2. Calculate the highest common factor of t and w.
15
Let n(q) = 5*q**2 + 3. Let i be n(5). Let j = 95 - -25. Let d be (j/25)/(6/20). Calculate the greatest common divisor of d and i.
16
Suppose -4*n + 5 = -3*w, n + 4*n - w = 20. What is the highest common factor of 35 and n?
5
Let t(q) = -q. Let c be t(-3). Let i(w) = w**3 + 2*w**2 - 2*w + 1. Let n be i(c). Suppose 0 = -z - 0*z + 5. What is the greatest common factor of z and n?
5
Suppose -5*o = -4*p - 210, 4*o + p - 168 = -0*o. What is the highest common divisor of 14 and o?
14
Let l(m) = -m**2 - 6*m + 30. Let f be l(-9). Calculate the highest common divisor of 1 and f.
1
Suppose u = -3*u - 72. Let p be 3/u*2*-3. Calculate the highest common factor of p and 5.
1
Suppose -2*m + 123 = 9. Calculate the greatest common factor of 38 and m.
19
Let r be 21*((-152)/(-28) - 2). Calculate the greatest common factor of 8 and r.
8
Suppose -i + 208 = i. Let d(u) = 3*u - 5 - 4*u + 9. Let h be d(-9). What is the greatest common divisor of h and i?
13
Let k(n) = -n**3 + 3*n**2 + 3. Suppose p - 1 = 2. Let r be k(p). Suppose 76 = r*j - 4*g, 5*j = 4*j + 3*g + 17. What is the greatest common divisor of 80 and j?
16
Suppose -3*p + 0 = -5*x + 10, 5*x - 10 = p. Suppose -x*l + 12 + 28 = 0. Calculate the greatest common factor of l and 4.
4
Suppose -4*n - 11 + 43 = 0. Let m = 2 + 0. Suppose 0*a - 2*a - n = 0, 4*i = m*a + 60. What is the highest common divisor of i and 117?
13
Let a(y) = 2*y**2 - 2 + y - 1 + 3*y. Let u be a(-4). Suppose 2*b - 48 - 30 = 0. What is the highest common factor of u and b?
13
Let l(n) = n**3 + 15*n**2 + 10*n + 8. Let k be l(-13). Calculate the greatest common divisor of k and 24.
24
Let n = -10 - -30. Let d = 34 - n. Calculate the highest common factor of 35 and d.
7
Let q be (-3 - (-3 - 0)) + 46. Let z be q/8 + 11/44. Calculate the highest common divisor of z and 42.
6
Let a = -18 + 70. Calculate the highest common factor of a and 65.
13
Suppose -8 = -r + 16. Let h be (-35)/(-4) + 2*(-24)/64. Calculate the highest common divisor of r and h.
8
Let v(n) = n**2 - 3*n - 6. Let k be v(-4). Let a = 31 - k. What is the highest common factor of a and 27?
9
Suppose -a + 3*a - 36 = 0. Suppose -a = -2*v - 4*d, -39 = -2*v - 3*v - 4*d. Suppose 2*x = 5*x - 189. Calculate the greatest common divisor of x and v.
7
Let f(x) = x**2 - 7*x + 7. Suppose -2*t - 7 = -3*t. Let j be f(t). Suppose 49 = -m + 8*m. Calculate the highest common factor of m and j.
7
Let p be (50/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
63400 and 1951920.
360
What is the greatest common factor of 60 and 6266660?
20
What is the greatest common factor of 384 and 39520896?
384
What is the highest common factor of 4882311 and 245?
49
What is the highest common divisor of 23223721 and 92?
23
What is the greatest common divisor of 12186 and 4786038?
18
What is the highest common divisor of 21 and 7962087?
21
What is the highest common divisor of 5251555 and 1241?
17
Calculate the greatest common factor of 50293031 and 15011.
883
What is the greatest common factor of 131068 and 61814?
62
Calculate the greatest common divisor of 7209 and 4286151.
801
What is the greatest common divisor of 11179127 and 62?
31
Calculate the highest common divisor of 4811868 and 2124.
36
Calculate the highest common divisor of 887626 and 125342.
2558
Calculate the highest common factor of 626674008 and 552.
552
Calculate the greatest common factor of 10037131 and 897.
299
Calculate the highest common factor of 57658 and 876674.
454
What is the highest common factor of 1922156620 and 1490?
1490
What is the greatest common factor of 10052 and 48272?
28
What is the greatest common divisor of 447 and 12745311?
447
What is the greatest common factor of 205 and 5680796?
41
Calculate the greatest common divisor of 8030 and 319595606.
1606
Calculate the greatest common factor of 10629918 and 312.
78
What is the highest common divisor of 1669169 and 1298?
59
What is the greatest common factor of 397656 and 3164?
28
Calculate the greatest common divisor of 9420185 and 8365.
1195
What is the greatest common divisor of 3144 and 700985192?
1048
Calculate the highest common divisor of 2394799 and 277651.
473
Calculate the greatest common divisor of 14612 and 1854268.
52
Calculate the greatest common divisor of 65 and 825536660.
65
What is the greatest common factor of 82688 and 3662820?
1292
What is the highest common factor of 3070000 and 4400?
400
Calculate the highest common divisor of 20175594 and 15144.
3786
What is the highest common divisor of 4383 and 384393483?
4383
What is the highest common factor of 209226675 and 925?
925
Calculate the greatest common factor of 17721199 and 9271.
127
Calculate the highest common factor of 125953 and 15535.
239
What is the highest common factor of 217985152 and 220?
44
Calculate the greatest common factor of 3057722 and 28356.
4726
What is the highest common factor of 20608 and 25354924?
644
What is the highest common divisor of 613 and 98271869?
613
What is the greatest common factor of 1002715 and 955?
5
What is the highest common divisor of 2580 and 10229356?
172
Calculate the greatest common divisor of 4707697590 and 1998.
1998
What is the greatest common divisor of 16222425 and 20?
5
What is the greatest common factor of 561056 and 46636?
356
What is the highest common divisor of 477 and 42739783?
53
Calculate the highest common factor of 8 and 52035.
1
Calculate the greatest common factor of 29443048 and 136.
136
Calculate the highest common factor of 28113653 and 1212.
101
Calculate the highest common factor of 6808 and 6553768856.
6808
What is the highest common factor of 3000 and 38276625?
375
What is the greatest common divisor of 384384 and 2158?
26
Calculate the highest common divisor of 97697664 and 126.
18
What is the greatest common divisor of 55232 and 81122?
1726
What is the highest common divisor of 81893538 and 12?
6
Calculate the greatest common divisor of 12 and 1354462.
2
Calculate the highest common divisor of 108552766 and 623.
623
What is the greatest common factor of 292988 and 44144?
356
What is the highest common divisor of 109591 and 1353?
1
What is the greatest common factor of 2037114 and 90?
18
What is the highest common divisor of 18 and 1541894?
2
Calculate the greatest common factor of 27335250 and 120.
30
Calculate the greatest common factor of 1978 and 22689638.
1978
What is the highest common factor of 6863 and 69?
1
What is the greatest common factor of 15 and 63979527?
3
Calculate the greatest common divisor of 209 and 61842644.
19
What is the highest common factor of 22 and 104767?
1
What is the highest common factor of 11040 and 513820?
460
What is the greatest common factor of 41128 and 514312?
424
Calculate the highest common factor of 5594970 and 171390.
870
What is the highest common divisor of 607534912 and 320?
64
Calculate the highest common divisor of 684442 and 95612.
1166
Calculate the greatest common factor of 2056704 and 3575130.
8034
What is the highest common factor of 1303264 and 136?
8
What is the greatest common divisor of 10 and 877042930?
10
What is the greatest common divisor of 8326 and 1971355346?
8326
Calculate the greatest common factor of 36 and 106154937.
9
What is the highest common factor of 9630 and 4091680?
1070
Calculate the highest common divisor of 13718 and 148238.
38
Calculate the greatest common factor of 147387 and 2222919.
2019
Calculate the greatest common divisor of 4675 and 62065025.
275
What is the highest common divisor of 7722 and 3576534?
78
What is the greatest common factor of 962 and 1247788?
74
What is the highest common factor of 4343040 and 24320?
1280
Calculate the highest common divisor of 46 and 10010060.
46
What is the highest common factor of 949 and 42385041?
73
Calculate the highest common divisor of 34 and 1364086.
2
What is the highest common divisor of 63800 and 390800?
200
Calculate the highest common factor of 216 and 81426060.
108
Calculate the highest common divisor of 133 and 13074089.
7
Calculate the greatest common divisor of 4463070 and 150.
30
Calculate the greatest common factor of 57053 and 492203.
967
Calculate the greatest common divisor of 6897183 and 85294.
3877
What is the greatest common divisor of 7409 and 432295?
31
What is the highest common factor of 110431861 and 331?
331
What is the greatest common factor of 190732826 and 116?
58
What is the highest common divisor of 8164 and 204357166?
4082
What is the highest common factor of 499415046 and 417?
417
What is the greatest common factor of 8053484 and 8?
4
Calculate the greatest common factor of 672 and 52602984.
168
What is the greatest common divisor of 48312 and 5486184?
792
What is the greatest common factor of 25274262 and 234?
78
What is the highest common divisor of 1285 and 1615095?
5
Calculate the highest common divisor of 597097643 and 4409.
4409
What is the greatest common factor of 1169726966 and 82?
82
What is the highest common divisor of 3215030 and 546?
182
What is the highest common divisor of 8001 and 114300?
1143
What is the highest common divisor of 3547796 and 2024?
92
Calculate the highest common factor of 56 and 21991208.
8
Calculate the greatest common factor of 13201596 and 84.
12
Calculate the highest common divisor of 7831647 and 383167.
3581
Calculate the greatest common divisor of 9447 and 12137985.
141
What is the highest common divisor of 51533232 and 77952?
1392
What is the highest common factor of 42277 and 43081?
67
Calculate the highest common factor of 5828251 and 6152.
769
Calculate the greatest common factor of 29217744 and 35568.
2736
What is the highest common divisor of 6876 and 16167386?
382
Calculate the greatest common divisor of 21312 and 4107.
111
Calculate the greatest common factor of 48470 and 442125.
655
Calculate the greatest common divisor of 15 and 1471515.
15
What is the highest common divisor of 1737137 and 5251?
59
Calculate the highest common divisor of 383396 and 82012.
404
Calculate the highest common divisor of 27305 and 7499
|
{
"pile_set_name": "DM Mathematics"
}
|
nd derivative of z(j). Calculate w(-3).
-5
Let s(r) = -2 + 11 - 10 - 5*r - r**2. Determine s(-5).
-1
Let u = 38 - 34. Let r(m) = m**3 - 4*m**2 - m + 5. Give r(u).
1
Let n be 12/(-10) + 4/20. Let t(j) = 9*j + 1. Calculate t(n).
-8
Let b(f) = f**2 + 3*f + 10. Let s(v) = -v**2 - 2*v - 11. Let w(d) = -5*b(d) - 4*s(d). Give w(-4).
6
Let j(c) = -c**2 - c. Let r be j(-2). Let v(a) be the second derivative of -a**5/10 - a**4/12 + 2*a**3/3 + 3*a**2/2 - 3*a. Give v(r).
7
Let a be (-2)/(-11) - 6/33. Let w(p) = a - 4 + 0*p + p. Calculate w(4).
0
Let n(f) = 2*f + 2. Let v = -62 - -64. What is n(v)?
6
Let f(z) = z**3 - z**2 - 1. Let w(u) = -9*u**2 + 9*u - 9. Let k(m) = -f(m) + w(m). Calculate k(-9).
-8
Let q(g) = -g + 1. Let r(m) be the first derivative of m**2/2 - 7*m + 2. Let p be r(5). Let d(x) = x**2 + 5*x + 3. Let j be d(p). Calculate q(j).
4
Let x(f) = -f**2 - 2*f + 4. Let m be x(-4). Let t be (5 + m)*(2 - 3). Let d(a) = 7*a + 1. Let k(b) = -b. Let z(l) = -d(l) - 3*k(l). Calculate z(t).
3
Let v(q) = 2*q - 7. Let k = -29 + 35. Give v(k).
5
Let g(u) be the second derivative of -u**7/2520 - u**6/90 - u**5/30 - u**4/12 + 3*u. Let m(s) be the third derivative of g(s). Determine m(-5).
11
Let v(u) = -3*u**3 - 14*u**2 - 14*u + 13. Let h(x) = 10*x**3 + 42*x**2 + 43*x - 40. Let w(z) = -2*h(z) - 7*v(z). Give w(-13).
2
Suppose 13 = -3*o + 52. Let y(x) = -14 + 2*x - x**3 - x**2 + 2*x**3 + o. Let a(w) = w + 7. Let q be a(-6). Calculate y(q).
1
Suppose 0 = 3*r + 6 - 0. Let t(u) be the first derivative of -2/3*u**3 - 1/4*u**4 - 3/2*u**2 - u + 5. Give t(r).
5
Let j(w) = -w**2 - 5*w - 2. Let q be j(-4). Let l(g) = -3*g**2 + 8*g**3 - 3*g + 3 + 2*g**q + 6*g**2 - 7*g**3. Calculate l(-6).
-15
Let r(f) = f + 1. Let d(m) = 5*m**2 - m + 2. Let p be d(2). Suppose 3*o = -o - p. Determine r(o).
-4
Let w(f) = -2*f**2 - f + 1. Suppose 12 = q + 5*q. Determine w(q).
-9
Suppose -3 - 3 = 2*s, -2*g - 4*s = 4. Suppose g*f = 2*f + 2. Let x(n) = 0*n + n + f + 0*n + 2*n. Determine x(1).
4
Let o(y) = -2*y - 1. Let c = 4 - 2. Suppose -2 = 3*p + 5*k - 16, -3*k = c*p - 8. Let u(r) = r + 4. Let a be u(p). What is o(a)?
-5
Let b(a) = a**2 + 5*a + 5. Let j = 10 + -3. Suppose 0 = -j*r + 2*r - 25. Give b(r).
5
Suppose 3*i - 3*k - 9 = 2*k, 0 = 5*i - 5*k - 15. Let h(g) = 3*g**2 - 4*g - 6. Let m(x) = 4*x**2 - 5*x - 7. Let o(b) = i*h(b) - 2*m(b). What is o(3)?
-1
Let g(x) be the third derivative of x**5/60 + 7*x**4/24 - x**3/2 + 26*x**2. Calculate g(-7).
-3
Let w(v) = v**2 + 9*v + 5. Let t(y) = y - 2. Let j be 8/(-5) + 2/(-5). Let k be t(j). Calculate w(k).
-15
Let o(g) = -20*g**3 - 2*g**2 + g. Suppose 0 = a - 0*i + 5*i - 16, -2*a = i - 5. Calculate o(a).
-21
Let v be (5 + -2)*35/21. Let m be ((-2)/(-4))/((-3)/(-48)). Let a = m - v. Let j(y) = y**2 - 5*y. What is j(a)?
-6
Let t(u) be the third derivative of -u**5/30 + u**4/24 + 7*u**2. Give t(2).
-6
Let j(y) = -3*y - 1. Let v be (12/(-8) - -1)*10. Let i(c) = -c**2 - 5*c + 3. Let a be i(-5). Let d = a + v. Determine j(d).
5
Let q(h) = -h**3 + 8*h**2 - 7*h + 5. Let p be 23/3 + 4/(-6). Determine q(p).
5
Suppose 8 = -m - m. Let b be m/(-6)*9/2. Let x(a) = a**2 - 3*a + 1. Give x(b).
1
Let w(n) = n**2 + 6*n + 3. Suppose z + z - 3 = -3*q, 3*z + 18 = 3*q. Determine w(z).
-6
Let q(l) = -l - 6. Suppose -m + z = 4, -3*m + 7*m = -2*z - 34. Calculate q(m).
1
Let g(f) be the third derivative of 2/3*f**3 + 0 - 2*f**2 + 0*f - 1/24*f**4. Let m be ((-10)/15)/((-2)/(-12)). Calculate g(m).
8
Let f(z) be the first derivative of 0*z**3 + 1/4*z**4 - 2*z**2 - 3 - 3*z. Calculate f(-2).
-3
Let n(p) be the first derivative of -p**4/4 - 5*p**3/3 + p**2/2 + 6. Determine n(-5).
-5
Let s = 68 - 69. Let n(v) = -11*v**2 - v. Determine n(s).
-10
Let b(x) = x**2 - 2*x - 3. Let g(d) = -d**3 + 4*d**2 + 3*d - 6. Let o be g(4). Suppose o*i + 15 = i. Determine b(i).
12
Let a(f) = -6*f**3 - 5 - 2*f**2 + 6*f**2 + 2*f**2 - 4*f. Let w(m) = 8 + 4 + 1 - 9 - 5*m**2 + 6*m**3 + 3*m. Let c(
|
{
"pile_set_name": "DM Mathematics"
}
|
or w.
-5
Solve 12131 - 3977 = -577*d - 6848 for d.
-26
Solve 0 = -59*d + 231*d + 241*d + 2891 for d.
-7
Solve -25*s - 10*s + 132*s = 2619 for s.
27
Solve 152*r + 220*r + 7068 = 0 for r.
-19
Solve 107*l + 35*l = 156 - 1292 for l.
-8
Solve -20*b + 33013 = 33353 for b.
-17
Solve 228 = 23*p - 48 for p.
12
Solve 64 = -80*n - 176 for n.
-3
Solve -95*q + 2145 = 92*q + 5885 for q.
-20
Solve -12*r = -7*r + 103 - 118 for r.
3
Solve 210*k + 498 = -173*k + 134*k for k.
-2
Solve -1494 = 1834*l - 1882*l + 234 for l.
36
Solve 0 = 50*v - 51*v + 2 for v.
2
Solve 243*p = 15*p - 4104 for p.
-18
Solve -61*h - 134536 + 135695 = 0 for h.
19
Solve -430 + 250 = 30*v for v.
-6
Solve 62*r - 79 = 45 for r.
2
Solve -541*z + 472 + 546 + 64 = 0 for z.
2
Solve 68*y + 2*y - 710 = -10 for y.
10
Solve 100 = -6613*p + 6618*p for p.
20
Solve 186*z = -1286 + 956 - 1902 for z.
-12
Solve 807 + 457 = 79*f for f.
16
Solve -124*d + 388*d + 5482 + 1910 = 0 for d.
-28
Solve 49*h + 54*h = 381 - 175 for h.
2
Solve -10*z + 28 = -5*z - 19*z for z.
-2
Solve 66*f - 166 - 172 = 58 for f.
6
Solve -2688 = -38*b + 13*b - 3713 for b.
-41
Solve 0*y + 708 = 46*y + 13*y for y.
12
Solve -30*s - 37*s = 18*s - 510 for s.
6
Solve -15*r - 36*r - 390 = 477 for r.
-17
Solve 93*p = -17*p - 110 for p.
-1
Solve -73*a + 1179 = 449 for a.
10
Solve 0 = -64*r + 260 + 138 + 114 for r.
8
Solve 103*d - 818 = 727 for d.
15
Solve 0 = -85*c + 80*c - 25 for c.
-5
Solve 3029*c - 2718 = 3482*c for c.
-6
Solve -176 = -68*i + 118 + 46 for i.
5
Solve -20*x + 62*x + 103*x = -2320 for x.
-16
Solve 24148*y - 24122*y = 26 for y.
1
Solve 34*m - 38*m = -59*m + 550 for m.
10
Solve 3481 = 101*n + 124*n - 1919 for n.
24
Solve -92593 = -35*h - 92208 for h.
11
Solve 24*q + 687364 = 687892 for q.
22
Solve -6*p + 3855 - 4637 = 28*p for p.
-23
Solve 276*c - 186*c = 540 for c.
6
Solve 972*l + 652 + 428 = 918*l for l.
-20
Solve -408 = 955*o - 979*o for o.
17
Solve 25*p - 39*p + 32*p + 54 = 0 for p.
-3
Solve 6466*n - 6449*n = 85 for n.
5
Solve 840 = 150*o - 510 for o.
9
Solve -283 - 197 = -48*n for n.
10
Solve -56773*t = -56895*t + 4026 for t.
33
Solve 4*c + 117 = 89 for c.
-7
Solve -182*y - 10377 = -13471 for y.
17
Solve -16*j - 218 = -75 + 81 for j.
-14
Solve -86*g + 196 + 272 = -48 for g.
6
Solve 65*a - 479 = 41 for a.
8
Solve 154*h = 53 + 58 - 111 for h.
0
Solve -208*d - 3289 = -75*d + 120*d for d.
-13
Solve 0 = -95*l + 1401 - 2731 for l.
-14
Solve -557*d + 364 = -505*d for d.
7
Solve 0 = -1362*r + 404*r + 25866 for r.
27
Solve 146*v - 883*v + 1974 = -237 for v.
3
Solve 118*b + 90*b - 140 = 188*b for b.
7
Solve 3*y + 3219 - 3294 = 0 for y.
25
Solve 0 = -29*g + 35 + 34 - 69 for g.
0
Solve 0 = -130*r - 93*r - 446 for r.
-2
Solve 0 = -737*i + 710*i + 54 - 0 for i.
2
Solve 510*j - 443*j = -402 for j.
-6
Solve 267*a + 11418 = -79*a for a.
-33
Solve -215*h - 51*h + 2128 = 0 for h.
8
Solve -21*i = 159 - 54 for i.
-5
Solve 754*f - 4841 - 437 = 0 for f.
7
Solve 512 = -518*b - 2297 + 737 for b.
-4
Solve 2883*y + 49 = 2932*y for y.
1
Solve -426062*m + 250 = -426052*m for m.
25
Solve -2531 = 235*x + 1229 for x.
-16
Solve 24*m - 150*m = 194*m + 2880 for m.
-9
Solve 104*b - 79*b - 77*b - 728 = 0 for b.
-14
Solve 27*d + 397 = 100 for d.
-11
Solve -1193*y + 1165*y = -174 + 34 for y.
5
Solve 815*g - 9 = 812*g for g.
3
Solve 328 = -72*c + 1264 for c.
13
Solve 9*g + 100 = 17*g + 2*g for g.
10
Solve 63*c = -38*c - 2*c + 824 for c.
8
Solve -1737 = 164*l + 42 + 2321 for l.
-25
Solve -294*s + 3917 - 683 = 0 for s.
11
Solve 3775*x - 2520 = 3895*x for x.
-21
Solve 235*q = 210*q + 49 + 26 for q.
3
Solve -1789 = 177*s - 1966 for s.
1
Solve 8751 = 9*w + 8850 for w.
-11
Solve 997 = 225*d - 1928 for d.
13
Solve -68*a = -30*a + 19*a - 1026 for a.
18
Solve -794 - 3855 - 439 = -159*r for r.
32
Solve -16*w = 171 - 315 for w.
9
Solve 509 - 551 - 966 = 112*y for y.
-9
Solve 554 = 58*v - 140*v - 512 for v.
-13
Solve 0 = 68*w + 849 + 1596 - 541 for w.
-28
Solve 361098*h = 361135*h + 925 for h.
-25
Solve 15*s + 136 + 970 = -143*s for s.
-7
Solve -92*t - 342 = 670 for t.
-11
Solve -58*n + 188 = -n + 1499 for n.
-23
Solve -230 - 170 = 20*a - 120 for a.
-14
Solve -89*m + 1222 = 5*m for m.
13
Solve 15 + 81 = 4*u - 12*u for u.
-12
Solve 16*y + 5370 = 5194 for y.
-11
Solve 15*p + 20*p + 1260 = -70*p for p.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
equence by when two letters picked without replacement from wbybwbbu?
1/14
What is prob of sequence vvv when three letters picked without replacement from {e: 10, z: 2, v: 6, j: 2}?
1/57
Calculate prob of sequence rmmm when four letters picked without replacement from mmmmmmmmddddddddddrd.
14/4845
Calculate prob of sequence wb when two letters picked without replacement from {v: 2, d: 1, b: 10, w: 1}.
5/91
Two letters picked without replacement from {g: 1, a: 5, z: 4, h: 1, o: 1, v: 3}. What is prob of sequence vz?
2/35
Two letters picked without replacement from {x: 1, v: 1, h: 2, d: 2}. What is prob of sequence dd?
1/15
Four letters picked without replacement from gnkgggnng. What is prob of sequence nggn?
5/126
Four letters picked without replacement from {v: 2, u: 1, h: 5, b: 1, l: 3, t: 1}. Give prob of sequence uvht.
1/1716
What is prob of sequence hhh when three letters picked without replacement from hhhh?
1
Two letters picked without replacement from iiiiiiiiiiiiiiiiia. What is prob of sequence ia?
1/18
What is prob of sequence rrn when three letters picked without replacement from {r: 4, s: 3, n: 5}?
1/22
Two letters picked without replacement from {q: 12, f: 3}. Give prob of sequence ff.
1/35
What is prob of sequence yy when two letters picked without replacement from {y: 2, j: 1, g: 1, o: 1}?
1/10
Two letters picked without replacement from vwvvw. Give prob of sequence ww.
1/10
What is prob of sequence gp when two letters picked without replacement from zpkpkkafkpkgzpk?
2/105
Four letters picked without replacement from {h: 2, v: 7}. Give prob of sequence hvhv.
1/36
Calculate prob of sequence feof when four letters picked without replacement from {e: 1, k: 4, o: 9, f: 2}.
3/7280
Two letters picked without replacement from phhwhhwhnx. Give prob of sequence xw.
1/45
Three letters picked without replacement from {d: 5, f: 7, a: 4, c: 2}. What is prob of sequence acc?
1/612
Three letters picked without replacement from fhyefjm. Give prob of sequence jhf.
1/105
Three letters picked without replacement from {a: 2, i: 1, q: 4, w: 2, g: 1}. What is prob of sequence qqg?
1/60
What is prob of sequence vgv when three letters picked without replacement from {v: 6, g: 2}?
5/28
Calculate prob of sequence yiiq when four letters picked without replacement from {r: 1, v: 1, y: 1, q: 2, i: 2}.
1/210
What is prob of sequence wxwj when four letters picked without replacement from {x: 4, b: 2, j: 1, z: 4, w: 2, a: 2}?
1/4095
Calculate prob of sequence kh when two letters picked without replacement from xivkivvheivkvvk.
1/70
Four letters picked without replacement from oxxxxcxcccxo. Give prob of sequence cxxc.
1/33
What is prob of sequence azbo when four letters picked without replacement from {a: 1, z: 1, o: 1, b: 2}?
1/60
What is prob of sequence iz when two letters picked without replacement from {i: 1, z: 1, n: 1, w: 1, e: 1}?
1/20
Two letters picked without replacement from fqabbbbfqfbe. Give prob of sequence aq.
1/66
Four letters picked without replacement from {v: 4, w: 2, d: 1, j: 2, b: 3, i: 3}. Give prob of sequence wbbw.
1/2730
Four letters picked without replacement from {g: 5, d: 3, e: 2, s: 6, n: 2}. Give prob of sequence snnd.
1/2040
Two letters picked without replacement from vvtttvtvtvvv. Give prob of sequence vv.
7/22
Four letters picked without replacement from lhhzzzgfhhihzzf. Give prob of sequence zgzz.
1/546
Two letters picked without replacement from {m: 3, i: 3}. What is prob of sequence mi?
3/10
Two letters picked without replacement from ndnnznz. What is prob of sequence zn?
4/21
Four letters picked without replacement from {m: 3, r: 1, v: 1, s: 2, n: 3}. Give prob of sequence vmms.
1/420
Two letters picked without replacement from {f: 1, p: 1, g: 1, d: 1, w: 1}. Give prob of sequence pw.
1/20
Two letters picked without replacement from zldtctzltcll. What is prob of sequence cl?
2/33
Two letters picked without replacement from {l: 2, x: 1, p: 1, h: 1, n: 2, w: 2}. What is prob of sequence hx?
1/72
Calculate prob of sequence ly when two letters picked without replacement from {f: 1, j: 1, l: 3, n: 3, y: 2}.
1/15
Four letters picked without replacement from ozjxejdxd. What is prob of sequence xzoe?
1/1512
Four letters picked without replacement from didsdddawdidddwdiiiw. Give prob of sequence sdwd.
3/1292
Two letters picked without replacement from {a: 1, q: 1, z: 1}. What is prob of sequence zq?
1/6
What is prob of sequence ff when two letters picked without replacement from ffyyyf?
1/5
Two letters picked without replacement from psd. Give prob of sequence ps.
1/6
Calculate prob of sequence cd when two letters picked without replacement from cnd.
1/6
Two letters picked without replacement from {o: 1, w: 1, x: 1, r: 1, t: 1}. Give prob of sequence tw.
1/20
Calculate prob of sequence our when three letters picked without replacement from {o: 2, f: 3, d: 4, r: 6, x: 4, u: 1}.
1/570
Four letters picked without replacement from pbpbppxprrrxblp. Give prob of sequence rprp.
1/182
Three letters picked without replacement from {h: 1, u: 2, a: 1, r: 1, k: 1, l: 1}. What is prob of sequence ahr?
1/210
Three letters picked without replacement from {k: 2, g: 8, q: 5}. What is prob of sequence kkk?
0
Calculate prob of sequence nsf when three letters picked without replacement from rarrknakasrf.
1/1320
Two letters picked without replacement from nggmmgbwbgbmgwnbug. Give prob of sequence bn.
4/153
Four letters picked without replacement from {t: 3, v: 6, j: 1, x: 4}. Give prob of sequence xjtt.
1/1001
Three letters picked without replacement from bbbbbbbbbb. Give prob of sequence bbb.
1
What is prob of sequence gg when two letters picked without replacement from gktkkktqqtitffg?
1/105
What is prob of sequence ytty when four letters picked without replacement from tyty?
1/6
What is prob of sequence nrrr when four letters picked without replacement from {d: 5, b: 1, r: 9, n: 1}?
3/260
What is prob of sequence hh when two letters picked without replacement from hddddddddddddhdddd?
1/153
What is prob of sequence uup when three letters picked without replacement from upuppppp?
1/28
What is prob of sequence zn when two letters picked without replacement from {b: 1, n: 1, i: 3, r: 1, z: 5}?
1/22
Three letters picked without replacement from {e: 5}. Give prob of sequence eee.
1
Two letters picked without replacement from {j: 3, m: 3, n: 5}. Give prob of sequence mj.
9/110
Two letters picked without replacement from {u: 1, a: 1, l: 1, s: 2, t: 1, p: 2}. Give prob of sequence pp.
1/28
Four letters picked without replacement from sgyyggggggysygys.
|
{
"pile_set_name": "DM Mathematics"
}
|
the lowest common multiple of ((-6)/b)/((-4)/66) and n?
22
Let c(l) = 11*l**2 + 2*l**3 + 12 - 2*l - 3*l**3 - 2 - 8*l. What is the least common multiple of c(10) and 1?
10
Suppose 0 = 3*p - 9, -8833 = -4*m - 0*m + 5*p. Let y = -8895/4 + m. Calculate the common denominator of y and 119/20.
20
Let z(c) = c**3 + 4*c**2 - 4*c + 7. Let y be z(-5). Suppose y*m = 1 + 9. Suppose m*g - 30 = -0*g. What is the smallest common multiple of 6 and g?
6
Let g = -17695781292 + 487660341030163/27558. Let u = g + 4/4593. Let b = 255743/14 + -18260. What is the common denominator of u and b?
126
Let w = -16955201/4 + 2199935863/519. Let i = 42/173 + w. Calculate the common denominator of i and 91/20.
60
Let x = -3154/455 - -12/91. Let t = -204 + 378. Calculate the common denominator of 2 + 0 - t/8 and x.
20
Let h = 9 - 9. Calculate the common denominator of (h + 20)*18/(-8) and -65/8.
8
Calculate the lowest common multiple of 6 and 76/5 - 9/45.
30
Let v = 7693/24 - 1987/6. Find the common denominator of 111/10 and v.
40
Let y be 2/3 + 1939/21. Suppose 5*n - 243 = -r + 2*r, 0 = 2*n + r - y. What is the least common multiple of 8 and n?
48
Let t(y) = y**3 - 3*y**2 + y - 4. Suppose -6 = -n - n. Suppose n*h - 88 = -h. Calculate the smallest common multiple of h and t(4).
176
Let h = 7538/7 - 11681/14. Let p = -901/4 + h. Calculate the common denominator of 31 and p.
4
Let y = 110889435/22 + -5028900. Let d = y + -11532. Calculate the common denominator of d and -23/18.
198
Let x(n) = n**2 - n + 2. Let s = -2 + 3. What is the smallest common multiple of x(2) and s?
4
Let k(g) = -16*g + 1. Let b be k(3). Let v = b - -67. What is the common denominator of (-74)/v + 2 + -3 and -42/5?
10
Let o be 21/(-6)*10*406. Let z = -198853/14 - o. Calculate the common denominator of -71/2 and z.
14
Let x be (-1)/(-4) - (-4478)/(-20). Let t = -208 - 14. Let v = x - t. Find the common denominator of 31/22 and v.
220
Calculate the lowest common multiple of (6 + 0 + 4)/2 and 4.
20
Let j(x) = -24*x - 2. Let t(a) = 6*a**2 - 2*a. What is the smallest common multiple of t(2) and j(-1)?
220
Suppose -2*c = -5*h + 1, -h + 5*h = 4*c - 28. Calculate the common denominator of (237/c)/((-14)/4) and 47/16.
112
Calculate the common denominator of (-8)/2 - (-182)/77 and 38/7.
77
Let l = 106 + 84. Find the common denominator of 1 + 2 + l/(-24) and 95/14.
84
Let l be -7*8 - 11/(-11). Calculate the common denominator of 40/32*(-146)/l and 43/4.
44
Let a(b) = 2*b + 2. Suppose q + 0*q - 42 = -2*d, 0 = -3*d - 4*q + 58. Suppose 2 = -5*p + d. What is the lowest common multiple of a(p) and 1?
10
Suppose 55*z - 72*z = -170. Let l = 8 - 13. Let i(n) = -n**3 - 6*n**2 - 8*n - 3. What is the lowest common multiple of i(l) and z?
60
Let q be ((-2019)/(-2))/(16/(-82)). Let n = q - -5178. Calculate the common denominator of n and 71/10.
80
Let a(j) = -j**3 + 7*j**2 - 6*j. Let u be a(6). Let x be -3*((-2971)/12 - u). Let i = -747 + x. Calculate the common denominator of i and 57/7.
28
Let x = -2/51421 + 158849/117908353. Let n = 84907/50446 - x. What is the common denominator of 3/10 and n?
110
Suppose 4871 = -m - 3*r, -3*r - 4330 - 15172 = 4*m. Let f = -53591/11 - m. What is the common denominator of f and -9?
11
Let y = -98 + 100. Suppose 2*u - 5*u = -6. Calculate the lowest common multiple of y and u.
2
Let b(h) = -h + 7. Let d be b(3). Suppose -d*g + 160 = 40. Suppose -2*r - 2*y = -6*r + g, -22 = -3*r + 2*y. Calculate the lowest common multiple of r and 3.
24
Suppose 3*b = a - 14, -2*a = 5*b - 0*b - 6. Calculate the lowest common multiple of 0/1 + (-2 - -4) and a.
8
Calculate the common denominator of (1/(-9))/(2/32) and 28/9.
9
Let j = -1/598 - -7187/6578. Let d = 1259/46 - -3/23. What is the common denominator of j and d?
22
Let q = -2440891/1049880 + -2/26247. What is the common denominator of -13/5 and q?
40
Let w(l) = l**2 + 11*l + 5. Let f be w(-11). Suppose 4*q + 3 = 2*a + 7, a - 3*q = -f. What is the lowest common multiple of 9 and a?
36
Let u be 18*1*(-4)/(-6). Let n = -6 - -28. Calculate the least common multiple of ((-22)/(-6))/(2/u) and n.
22
Suppose 2427 = 2*m - 5899. Let g be (0 + 83098/40)*-2. Let w = g + m. What is the common denominator of -69/14 and w?
70
Let s = 58953/9940 + 19/994. Find the common denominator of -9/16 and s.
80
Suppose 5 = j + 1. Suppose g + j = 0, -3*g - 40 = -4*z + g. What is the lowest common multiple of 10 and z?
30
Suppose -g - 3*w - 60 = -4*g, 0 = -g + 2*w + 18. Calculate the least common multiple of g and 2.
22
Let w be (-2)/2 + -811855 + 2. Let a = w + 14526491/18. Let p = -4835 - a. Calculate the common denominator of p and -39/20.
180
Let s = 78213397221005/16074 + -4865832842. Let h = 4/893 + s. Calculate the common denominator of 1/14 and h.
126
Let l(s) = -s**3 + 11*s**2 - 9*s + 4. Calculate the least common multiple of 2 and l(10).
14
Let p(q) = -q**3 + 6*q**2 + 7*q + 5. Let t be p(7). Suppose 78 = 5*w - h, t*w - 3 = -3*h + 83. Calculate the lowest common multiple of w and (-1)/(-1)*(3 - 1).
16
Let y(w) = -w - 2. Let a be y(-2). Suppose -f - 2 = -4*u, -24 = -5*f + 3*u - a*u. What is the lowest common multiple of f and 16?
48
Let i = 115 + 570. What is the common denominator of i/30 -
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of 1018024589.
1018024589
What are the prime factors of 29557044?
2, 3, 11, 101, 739
What are the prime factors of 817388052?
2, 3, 13, 431, 12157
List the prime factors of 4862670170.
2, 5, 103, 499, 9461
List the prime factors of 79688431.
79688431
List the prime factors of 6829869497.
11, 1993, 311539
List the prime factors of 69964206.
2, 3, 13, 23, 59, 661
List the prime factors of 195786606.
2, 3, 32631101
What are the prime factors of 616871622?
2, 3, 17, 37, 149, 1097
List the prime factors of 5592699921.
3, 1864233307
What are the prime factors of 394140872?
2, 37, 41, 47, 691
List the prime factors of 1666651079.
32971, 50549
List the prime factors of 25745469.
3, 31, 276833
What are the prime factors of 2295642686?
2, 113, 2657, 3823
What are the prime factors of 14431171?
14431171
List the prime factors of 4239970448.
2, 7, 79, 479201
What are the prime factors of 6067508517?
3, 7, 89, 281, 3851
What are the prime factors of 2966768788?
2, 29, 881917
What are the prime factors of 406864276?
2, 7, 13, 1117759
List the prime factors of 849315890.
2, 5, 84931589
List the prime factors of 2717518877.
2717518877
What are the prime factors of 57009683?
157, 363119
List the prime factors of 1800797363.
37, 239, 203641
What are the prime factors of 3852430703?
11, 350220973
List the prime factors of 91487674.
2, 283, 161639
List the prime factors of 210011622.
2, 3, 35001937
What are the prime factors of 75963895?
5, 7, 251, 8647
What are the prime factors of 3218549908?
2, 7, 251, 65423
What are the prime factors of 1087217496?
2, 3, 1429, 10567
What are the prime factors of 186210125?
5, 61, 24421
What are the prime factors of 575628111?
3, 461, 138739
List the prime factors of 54873086.
2, 27436543
What are the prime factors of 7084140?
2, 3, 5, 7, 101, 167
What are the prime factors of 29668622?
2, 59, 251429
List the prime factors of 85487741.
43, 1988087
What are the prime factors of 84748300?
2, 5, 7, 13, 67, 139
List the prime factors of 2283113124.
2, 3, 17, 23, 61, 2659
What are the prime factors of 1315716852?
2, 3, 109643071
List the prime factors of 49735725.
3, 5, 13, 29, 1759
List the prime factors of 783299867.
7, 111899981
What are the prime factors of 829070401?
43, 19280707
List the prime factors of 50714683.
107, 149, 3181
What are the prime factors of 438123996?
2, 3, 29, 499
List the prime factors of 621929369.
41, 1163, 13043
List the prime factors of 302036020.
2, 5, 11, 13, 105607
List the prime factors of 865207712.
2, 19, 1423039
List the prime factors of 2992747489.
2992747489
What are the prime factors of 131284817?
131284817
List the prime factors of 769855625.
5, 7, 11, 17, 941
What are the prime factors of 145809258?
2, 3, 7, 3471649
List the prime factors of 69316346.
2, 11, 127, 24809
List the prime factors of 648988211.
61, 2971, 3581
What are the prime factors of 283455983?
1091, 259813
List the prime factors of 4072801527.
3, 157, 960793
What are the prime factors of 281630438?
2, 140815219
What are the prime factors of 848372195?
5, 11, 31, 497579
What are the prime factors of 3847464131?
7, 549637733
What are the prime factors of 1403570397?
3, 467856799
What are the prime factors of 1288039195?
5, 257607839
List the prime factors of 64005690.
2, 3, 5, 7, 304789
What are the prime factors of 3948521855?
5, 789704371
List the prime factors of 1319550989.
59, 22365271
List the prime factors of 30367424.
2, 474491
List the prime factors of 1093758058.
2, 31, 17641259
List the prime factors of 4482354848.
2, 41, 3416429
List the prime factors of 2204007642.
2, 3, 122444869
List the prime factors of 189373972.
2, 73, 199, 3259
List the prime factors of 2367128904.
2, 3, 7, 23, 612611
What are the prime factors of 508337111?
17, 29902183
List the prime factors of 25258167.
3, 11, 255133
What are the prime factors of 47233842?
2, 3, 109, 72223
What are the prime factors of 245811538?
2, 7, 2508281
List the prime factors of 436566114.
2, 3, 41, 591553
List the prime factors of 80134808.
2, 13, 770527
What are the prime factors of 2355024039?
3, 13877, 56569
What are the prime factors of 3178110850?
2, 5, 1907, 33331
What are the prime factors of 21297340?
2, 5, 1064867
List the prime factors of 1413838068.
2, 3, 241, 488879
List the prime factors of 2277041572.
2, 13, 43789261
What are the prime factors of 101783395?
5, 7, 23, 227, 557
List the prime factors of 156096886.
2, 11, 7095313
List the prime factors of 773806420.
2, 5, 29, 421, 3169
List the prime factors of 618430808.
2, 23, 3361037
What are the prime factors of 71333418?
2, 3, 13, 31, 29501
What are the prime factors of 3125191733?
317, 1171, 8419
List the prime factors of 39636792.
2, 3, 13, 17, 47, 53
List the prime factors of 22138737.
3, 1187, 6217
What are the prime factors of 140628155?
5, 41, 685991
What are the prime factors of 875825127?
3, 1613, 60331
List the prime factors of 359831233.
4703, 76511
List the prime factors of 420471563.
420471563
List the prime factors of 21182085.
3, 5, 17, 27689
List the prime factors of 22030597.
73, 301789
List the prime factors of 7494287586.
2, 3, 1249047931
List the prime factors of 786327742.
2, 2053, 191507
What are the prime factors of 177094371?
3, 109, 491, 1103
What are the prime factors of 32972471?
7, 71, 66343
What are the prime factors of 146616381?
3, 17, 163, 5879
List the prime factors of 686511164.
2, 12809, 13399
List the prime factors of 1359182117.
2267, 599551
What are the prime factors of 1320295062?
2, 3, 1811, 121507
List the prime factors of 44397986.
2, 47, 472319
List the prime factors of 83049103.
997, 83299
What are the prime factors of 321474345?
3
|
{
"pile_set_name": "DM Mathematics"
}
|
4*j(n) + 9*m(n). Let l(k) = 6*k + 5. Let u(r) = -21*r - 18. Let h(c) = 18*l(c) + 5*u(c). What is i(h(s))?
-9*s
Let s(z) = 4*z. Suppose 0 = -3*m + 4*r - 18, 4*m - 4*r + 23 = r. Let c be (-10)/(-4) + (-1)/m. Let q(u) = c*u - u - u. Determine s(q(b)).
4*b
Let l(o) = 4*o - 5. Let r(v) = -2*v + 3. Let d(y) = -3*l(y) - 5*r(y). Let h(p) = -16*p. What is h(d(w))?
32*w
Let c(w) be the second derivative of -2*w**3/3 - 4*w. Let y(v) = 6 - 6 - v. What is y(c(h))?
4*h
Let d(n) = -36*n**2. Let m(t) = 5*t + 10*t + 9*t - 22*t. Calculate m(d(q)).
-72*q**2
Let x(n) = 2*n. Let i(t) = 36*t + 34. Let c(m) = m + 1. Let f(a) = -204*c(a) + 6*i(a). Determine x(f(y)).
24*y
Let j(b) = 36 - 36 - 5*b. Let n(o) = 2*o**2. Determine n(j(i)).
50*i**2
Let b(v) = -2*v. Let q(m) = -11714*m. What is q(b(r))?
23428*r
Let d(j) = -j**2 + j. Let q(i) = i**2 - 2*i. Let l(c) = -2*d(c) - q(c). Let g(a) = -2*a**2. Give g(l(n)).
-2*n**4
Let u(t) = 6*t. Let q(h) = 11*h + 82. Determine u(q(d)).
66*d + 492
Let p(n) = 14*n. Let f(z) = -2*z + 340. Calculate f(p(d)).
-28*d + 340
Let o(l) = 3*l + 4. Let f(j) = -17*j - 26. Let k(u) = 6*f(u) + 39*o(u). Let a(t) = -2*t. What is a(k(b))?
-30*b
Let d(j) be the first derivative of -2/3*j**3 + 0*j + 0*j**2 - 1. Let p(w) = -3*w**2 + 5*w. Let f(n) = -n**2 + 2*n. Let b(z) = -5*f(z) + 2*p(z). Give d(b(g)).
-2*g**4
Let g(z) be the first derivative of -z**3/3 + 5. Suppose -2*w = w - 9. Let l(n) = n**2 - 3*n + w*n. Calculate l(g(x)).
x**4
Let d(y) be the first derivative of 2*y**3/3 + 11. Let m(x) = -5*x**2. What is m(d(h))?
-20*h**4
Let y(z) be the third derivative of -3*z**2 - 1/60*z**5 + 0*z + 0*z**3 + 0*z**4 + 0. Let i(v) = -3*v**2. What is y(i(n))?
-9*n**4
Let t(x) = -198*x + 388*x + 5*x**2 - 190*x. Let l(n) = -6*n + 3*n + 4*n. Calculate l(t(q)).
5*q**2
Let k(x) = 103*x. Let m(g) = 34*g. Calculate k(m(l)).
3502*l
Let z(t) be the first derivative of -2*t**3/3 - 2. Let q(j) = 7*j**2. Give q(z(g)).
28*g**4
Let r(c) = c**2 + 1043. Let y(j) = -2*j. Determine y(r(g)).
-2*g**2 - 2086
Let u(y) = -3*y**2. Let b(x) = x**2 + x - 3. Let k be b(-3). Let c(j) = 0*j - 4*j + k*j. Give c(u(r)).
3*r**2
Let w = 5 + -2. Let p(s) = -1 + 3*s + 1 + 3. Let r(z) = 1. Let t(g) = w*r(g) - p(g). Let d(i) = i**2. Determine t(d(n)).
-3*n**2
Let s(h) = 10*h. Let g(t) = 7*t - 10*t - 3 + 3. Calculate s(g(p)).
-30*p
Let o(w) = -2*w - 210. Let g(x) = -2*x. What is g(o(s))?
4*s + 420
Let t(x) = -x**2 + x + 1. Let p(g) be the first derivative of -2*g**2 - 4*g + 1. Let s(i) = -p(i) - 4*t(i). Let h(m) = 2*m**2. Determine h(s(a)).
32*a**4
Let j(f) = -3*f. Let k(u) be the second derivative of -u**6/360 - u**3/3 + 3*u. Let w(p) be the second derivative of k(p). Determine j(w(x)).
3*x**2
Suppose -3*g = -2*g. Let r(h) be the third derivative of -2*h**2 + g + 0*h**4 + 0*h**3 + 0*h + 1/60*h**5. Let v(n) = -n**2. What is r(v(c))?
c**4
Let c(b) = 9*b**2 + 7*b. Let f(r) = -5*r**2 - 4*r. Let x(y) = -4*c(y) - 7*f(y). Let u(m) = 9*m**2. Let z(i) = 4*i**2. Let h(n) = -3*u(n) + 7*z(n). Give h(x(o)).
o**4
Let i(h) = 1 + 2 + 0 + h - 4. Let x(n) = n - 3. Let f(l) = 3*i(l) - x(l). Let y(d) = -d. Determine f(y(s)).
-2*s
Let j(p) = -11*p + 6. Let q(x) = 45*x - 25. Let m(h) = 25*j(h) + 6*q(h). Let c(z) = -7*z. What is c(m(w))?
35*w
Let f(b) = -2 + 100*b - 88*b + 2. Let g(h) = -3*h. Give g(f(i)).
-36*i
Let d(c) = 9*c. Let s(l) be the third derivative of l**4/12 - 25*l**2. Give s(d(n)).
18*n
Let b(j) = -10*j**2. Let i(t) = -t**2 - t. Let y(s) = 15*s**2 + 18*s. Let d(k) = 18*i(k) + y(k). What is b(d(m))?
-90*m**4
Let d(t) = -6*t. Let a(j) be the second derivative of -j**7/2520 + j**4/2 - 5*j. Let q(y) be the third derivative of a(y). Determine d(q(c)).
6*c**2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
668*g**2
Suppose 3*f = o + 9, -3*f = 2*f + 5*o - 15. Find the third derivative of -4*k**2 - k**4 - 6*k**4 + f*k**2 - 3*k**2 wrt k.
-168*k
Let j be (-4)/10*(-3 - 2). What is the second derivative of -j*r**5 - 13*r**5 + 3*r + 0*r**5 wrt r?
-300*r**3
Let g(v) be the second derivative of 1/12*v**4 + 0*v**5 + 0 + 0*v**2 - 17*v + 23/30*v**6 + 0*v**3. Find the third derivative of g(c) wrt c.
552*c
Let q(h) be the second derivative of -h**6/10 - h**3 + 65*h**2/2 + 112*h. Differentiate q(n) with respect to n.
-12*n**3 - 6
Find the third derivative of -271 - 6*c - 373 - 2*c**2 + 6*c - 445*c**3 + 21*c**3 wrt c.
-2544
Let j(x) be the second derivative of -14*x**6/5 - 23*x**4/3 + 107*x. Find the third derivative of j(z) wrt z.
-2016*z
Suppose 3*c = 2*k + 82, -c + 3*k + 13 + 12 = 0. What is the first derivative of 14*h**4 + 16 - c*h**4 + 11*h**4 wrt h?
-12*h**3
Let h(m) be the second derivative of 253*m**6/30 - 32*m**3/3 + 273*m + 1. Find the second derivative of h(u) wrt u.
3036*u**2
What is the second derivative of 8*m**4 + 6*m**3 + 17*m**4 + 56*m + 13*m - 40*m**4 + 17*m**4 wrt m?
24*m**2 + 36*m
Let b(y) = 182*y**3 - 3*y**2 - 350. Let q(g) = -365*g**3 + 5*g**2 + 704. Let k(a) = -5*b(a) - 3*q(a). Differentiate k(n) with respect to n.
555*n**2
Let l(n) be the first derivative of 0*n + 5/4*n**4 + 3*n**3 + 0*n**2 + 10. Find the third derivative of l(k) wrt k.
30
Differentiate n - 433*n**3 + 31 + 9*n**4 + 433*n**3 wrt n.
36*n**3 + 1
Let r(m) = 8*m + 16 + 2*m + 0*m - 4*m. Let a(n) = 18*n + 48. Let y(v) = 4*a(v) - 11*r(v). What is the first derivative of y(p) wrt p?
6
What is the third derivative of -5004*c**3 + 4815*c**3 - 17*c + 4*c - c**4 + 4*c**2 wrt c?
-24*c - 1134
Let w = 39 - -5. Differentiate 2*g**2 - w + 4*g**2 + 45 + 0*g**2 with respect to g.
12*g
Let f(t) = -2*t**2 + 6*t - 7. Let v be f(4). Let n = v - -57. Differentiate n - 49 + g + 3*g + 5*g wrt g.
9
Suppose 6*b - 12 = 3*b. Let o be ((-2)/b)/(1/(-4)). Differentiate -o*f**3 - 8 + 3*f**3 - 4*f**3 with respect to f.
-9*f**2
What is the third derivative of 2*c**2 - 56*c**3 - 176*c**3 - 34*c**2 wrt c?
-1392
Let m be (-6)/39 + 123/39. Find the third derivative of -4*l**2 - 3*l**2 - 72*l**3 + 78*l**m wrt l.
36
Let c(b) = -259*b**2 + 5*b - 132. Let a(q) = 129*q**2 - 2*q + 67. Let j(w) = 5*a(w) + 2*c(w). What is the derivative of j(h) wrt h?
254*h
Let x(k) be the second derivative of 33*k**5/5 - 4*k**3/3 - 5*k - 19. What is the second derivative of x(j) wrt j?
792*j
Let z(o) be the second derivative of 0*o**4 + 11*o + 10/3*o**3 + 0 + 0*o**2 + 5/4*o**5. What is the second derivative of z(u) wrt u?
150*u
Let c(p) = 17*p**3. Let f be c(1). Suppose 0 = 4*h - f - 7. Find the second derivative of -h*g + 3*g**2 - 8 + 8 wrt g.
6
Let j(d) = 3*d**4 + 2*d**3 - 14*d**2. Let u(n) = n**4 - n**3. Let b(l) = -5*j(l) - 10*u(l). Find the third derivative of b(w) wrt w.
-600*w
Let d(p) be the first derivative of 8 - 9*p**3 + 14*p**2 + 6*p**3 - 2*p**3. What is the second derivative of d(u) wrt u?
-30
Suppose 0 = 12*v - 89*v. Let h(t) be the first derivative of -2/5*t**5 + 10*t + 0*t**2 + 11 + v*t**4 + 0*t**3. What is the derivative of h(f) wrt f?
-8*f**3
Let b(j) be the second derivative of 47*j**6/30 - 63*j**2/2 - 3*j - 3. Differentiate b(k) with respect to k.
188*k**3
Let q(d) = 75*d + 0 - 2 - 74*d + 9*d**2. Let a be q(1). What is the derivative of 11*n - 2 - 4*n + a + 2*n wrt n?
9
Let r(u) = 13*u**2 + 9*u - 2. Let f(j) = 3*j + 13. Let l be f(-5). Let z(d) = d**2 + 1. Let i(h) = l*z(h) - r(h). What is the second derivative of i(a) wrt a?
-30
Find the second derivative of -2*b**4 + 6 - 3 + 12*b**5 - 10*b**5 + 0*b**4 + 4*b wrt b.
40*b**3 - 24*b**2
What is the second derivative of 228*v**4 - 8*v**2 - 769*v + 322*v**4 + 1294*v + 8*v**2 wrt v?
6600*v**2
Let w(o) be the second derivative of 5*o**9/1512 + o**6/360 - o**3/6 - 7*o. Let l(d) be the second derivative of w(d). Find the third derivative of l(f) wrt f.
600*f**2
Find the second derivative of 100 - 30*i**2 + 2*i - 14*i**2 + 44*i**2 + 69*i**4 + 55*i**4 wrt i.
1488*i**2
Let m(q) be the second derivative of q**8/4 + q**5/5 + 5*q**4/6 + 4*q**3/3 + 6*q + 16. What is the third derivative of m(c) wrt c?
1680*c**3 + 24
What is the third derivative of -17*j**4 - 69*j**4 + 419*j**3 + 419*j**3 - 34*j - 841*j**3 + j**2 wrt j?
-2064*j - 18
Let n(d) be the first derivative of 0*d**2 - 38 + 0*d - 3*d**3 + 29/4*d**4. Find the third derivative of n(y) wrt y.
|
{
"pile_set_name": "DM Mathematics"
}
|
f 482820212?
2, 7, 2297, 7507
What are the prime factors of 13265284?
2, 3316321
List the prime factors of 3351832669.
1543, 2172283
List the prime factors of 85656409.
85656409
What are the prime factors of 1051973986?
2, 7, 75140999
What are the prime factors of 2757410906?
2, 1378705453
What are the prime factors of 502175823?
3, 167391941
What are the prime factors of 83688880?
2, 5, 11, 95101
What are the prime factors of 73915000?
2, 5, 14783
What are the prime factors of 241216365?
3, 5, 13, 163, 7589
What are the prime factors of 5818007?
13, 521, 859
What are the prime factors of 1051550271?
3, 23, 193, 26321
List the prime factors of 42866828.
2, 727, 14741
What are the prime factors of 885144066?
2, 3, 17, 8677883
List the prime factors of 16289119.
7, 11, 47, 643
List the prime factors of 45309402.
2, 3, 23, 191
What are the prime factors of 18209782?
2, 103, 88397
What are the prime factors of 110588781?
3, 36862927
What are the prime factors of 24446559?
3, 19, 22573
What are the prime factors of 37712495?
5, 163, 46273
List the prime factors of 1668660437.
193, 2393, 3613
List the prime factors of 932583198.
2, 3, 179, 868327
List the prime factors of 1080124157.
7, 154303451
What are the prime factors of 3247143361?
7, 11, 17, 193, 12853
List the prime factors of 6854303.
6854303
What are the prime factors of 34905217?
53, 658589
What are the prime factors of 1214516135?
5, 7, 149, 463, 503
What are the prime factors of 280175353?
280175353
What are the prime factors of 119979385?
5, 23, 1043299
What are the prime factors of 66113328?
2, 3, 31, 157, 283
List the prime factors of 30196992.
2, 3, 7, 41, 137
List the prime factors of 278174060.
2, 5, 17, 19, 149
List the prime factors of 1577291151.
3, 719, 731243
List the prime factors of 552846892.
2, 13, 313, 33967
What are the prime factors of 80996920?
2, 5, 293, 6911
List the prime factors of 127734045.
3, 5, 607, 14029
List the prime factors of 521683105.
5, 67, 151, 10313
List the prime factors of 28342331.
2549, 11119
What are the prime factors of 146091132?
2, 3, 11, 17, 21701
List the prime factors of 1099812792.
2, 3, 13, 31, 8747
What are the prime factors of 196111827?
3, 7263401
List the prime factors of 1071377567.
13, 19, 4337561
What are the prime factors of 651354457?
13, 23, 2178443
List the prime factors of 1140298634.
2, 37, 227, 67883
List the prime factors of 45993626.
2, 7, 3285259
List the prime factors of 21163987.
13, 1051, 1549
What are the prime factors of 120360439?
151, 157, 5077
List the prime factors of 319817359.
31, 43, 79, 3037
List the prime factors of 4646520354.
2, 3, 7, 15804491
What are the prime factors of 3026378352?
2, 3, 17, 3708797
What are the prime factors of 998054?
2, 499027
What are the prime factors of 1039475873?
22013, 47221
What are the prime factors of 42196148?
2, 131, 80527
List the prime factors of 155337126.
2, 3, 7, 17, 217559
What are the prime factors of 145823914?
2, 739, 98663
What are the prime factors of 6062419648?
2, 3931, 24097
What are the prime factors of 14168484?
2, 3, 11, 37, 967
List the prime factors of 563886800.
2, 5, 1409717
What are the prime factors of 821606760?
2, 3, 5, 13, 139, 421
List the prime factors of 132890952.
2, 3, 73, 101, 751
What are the prime factors of 353167249?
29, 53, 229777
What are the prime factors of 400521470?
2, 5, 449, 89203
What are the prime factors of 130932228?
2, 3, 7, 1558717
What are the prime factors of 65238153?
3, 19, 1144529
List the prime factors of 616943914.
2, 1061, 290737
List the prime factors of 127788836.
2, 7, 73, 101, 619
What are the prime factors of 3478112256?
2, 3, 23, 151, 163
What are the prime factors of 236961333?
3, 7, 1747, 2153
What are the prime factors of 1023002185?
5, 4261, 48017
What are the prime factors of 90665209?
47, 1929047
What are the prime factors of 1208937186?
2, 3, 37, 1815221
List the prime factors of 6500635517.
59, 97, 1135879
List the prime factors of 1461106875.
3, 5, 37, 21061
What are the prime factors of 97865737?
6257, 15641
List the prime factors of 905403536.
2, 56587721
What are the prime factors of 168112551?
3, 19, 2949343
What are the prime factors of 310603603?
97, 3202099
List the prime factors of 2143600972.
2, 101, 353, 15031
What are the prime factors of 723709222?
2, 59, 6133129
List the prime factors of 168207206.
2, 191, 440333
List the prime factors of 810887938.
2, 7, 57920567
List the prime factors of 338643537.
3, 112881179
What are the prime factors of 1496937910?
2, 5, 13, 11514907
What are the prime factors of 20516269?
20516269
List the prime factors of 357777041.
357777041
What are the prime factors of 541257352?
2, 67657169
What are the prime factors of 42846646?
2, 97, 220859
What are the prime factors of 147696507?
3, 7, 29, 26947
What are the prime factors of 4938653360?
2, 5, 41, 1505687
What are the prime factors of 1067985150?
2, 3, 5, 7119901
What are the prime factors of 473383400?
2, 5, 7, 179, 1889
What are the prime factors of 755948009?
755948009
List the prime factors of 719852988.
2, 3, 23, 163, 16001
What are the prime factors of 829058876?
2, 207264719
List the prime factors of 158716158.
2, 3, 19, 421, 3307
List the prime factors of 210962983.
7, 11, 391397
What are the prime factors of 27686189?
27686189
List the prime factors of 1491942557.
7, 229, 930719
List the prime factors of 586207341.
3, 109, 139, 1433
List the prime factors of 2202195649.
29, 41, 439, 4219
List the prime factors of 1027451472.
2, 3, 41, 522079
What are the prime factors of 419021486?
2, 13, 373, 43207
What are the prime factors of 3542048463?
3, 1180682821
List the prime factors of 204800343.
3, 11, 17, 365063
What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -3 = -0*c - c - 3*z, -l*c + z = 1. Let n = 8 + -6. Solve c*y + 2*y = -n for y.
-1
Suppose k = 20 + 1. Suppose k = 2*g + g. Let s = 12 - g. Solve c - s*c = 0 for c.
0
Suppose 53*w + 204*w - 408 = 620. Solve -w*s = -26*s - 66 for s.
-3
Let o(s) = 43*s**2 - 1200*s - 92. Let h be o(28). Suppose 39 = 4*g + i, -i = 2*g + 4*i - 33. Solve -g*c + 14*c = h for c.
4
Suppose -3*p = 9, 170*n - 172 = 165*n + 4*p. Solve -44*s - 120 = -n for s.
-2
Let h be 2262/42 - 2*(-1)/14. Let o be -2 + (-4)/6*h/(-18). Solve -6 = 2*y - o for y.
-3
Suppose 5*s - 2*h = 2088, -5*s + 7*s = -2*h + 824. Suppose -15*j + s = 11*j. Solve 0 = -d + 5*d - j for d.
4
Suppose -34*o + 4 = 4*t - 32*o, 5*t = 2*o - 4. Solve 81*k + 491 + 157 = t for k.
-8
Let i be 2779/(-397) - (2*71)/(-2). Solve 1064*f = 1072*f - i for f.
8
Let j = 3 + -3. Let c = 17245 + -17243. Solve j*h - c = -h for h.
2
Let u = 10936 + -10927. Solve -25*c + u = -28*c for c.
-3
Suppose -5*f = -152 - 13. Suppose 0 = 5*k - 2*k - f. Suppose -6*i + k*i = -6*i. Solve 2*x - 8 = -i*x for x.
4
Let j = -2356 - -2356. Solve 0 = -23*b - 138 - j for b.
-6
Let a(f) = -4*f - 7. Let v be a(-4). Suppose -22 + v = -u. Let t be 13/u - -1*2. Solve -8 + 2 = t*s for s.
-2
Let u = 5493 + -5487. Solve 23*o - 17*o = u for o.
1
Let k(q) = q. Let v(p) = -6*p. Let h(j) = -34*k(j) - 6*v(j). Let s be h(0). Suppose s = -5*z - 4 + 19. Solve n - z*n = 0 for n.
0
Suppose -2*d = 4*d - 228. Let l = 43 - d. Suppose -3*m - 19 = 5*j, -2*j + 4*j + 16 = 3*m. Solve -7 + m = -l*c for c.
1
Let t be ((-128)/60 + (-7)/35)/((-4)/36). Suppose -2*u + u = -10. Solve t*m = 26*m + u for m.
-2
Suppose -36*p - j - 116 = -38*p, 3*p - 5*j = 188. Solve 35 - p = 3*l for l.
-7
Let o(z) = 14*z**2 + 10*z - 12. Let x be (-2)/((-26)/12 + (-8)/(-48)). Let l be o(x). Solve -4*u - 2*u = -l for u.
2
Let w(n) = -19*n**2 - 105*n - 3. Let r be w(-5). Solve -162 = r*g - 68 for g.
-2
Suppose h = 2 - 0. Let s(w) = -w**2 + w + 2. Let r be s(h). Suppose 3*v + 7 = 41*u - 42*u, 0 = 2*u - 2*v - 18. Solve r + u = q for q.
5
Suppose -83*m = -143*m. Solve m = -17*r - 0*r - 17 for r.
-1
Let o(x) = x**3 + 84*x**2 + 674*x + 15. Let d be o(-9). Solve d = -857*q + 863*q for q.
4
Suppose 2943 = -6*f - 39. Let h = f + 509. Solve 0*v - 3*v = h for v.
-4
Let x be (-226)/(-8) - (45/12)/(-5). Suppose -8*d + 11 = -x. Suppose -d*v - 4 = -7*v. Solve 2 = 2*z - v for z.
2
Let r(t) = 2*t + 13. Let x be r(-4). Let v = 1 + 4. Suppose -v*z + 10 = x. Solve 2*n + 1 + z = 0 for n.
-1
Suppose -3*x = 2*c - 349, x = 4*c - c + 120. Let i = 313 - x. Suppose -9*l = -i + 70. Solve l = 2*w + 4 for w.
5
Let x(z) = z**2 - 3*z. Let j(y) = -5*y**3 + 5*y**2 - 12*y. Let v(u) = -j(u) + 3*x(u). Let s be v(1). Solve 0 = s*l - l - 20 for l.
4
Suppose -3*p = -4*n + 414 - 431, -48 = -4*p - n. Solve -3*r + p*r = 16 for r.
2
Let k be (-169)/(-104) - 6/(-16). Suppose -k*o - u + 52 = -5*u, 4*u = -2*o + 76. Solve o - 7 = 5*p for p.
5
Suppose 0 = -2*o - 5*a - 4, 2*o - a + 7 = 5*o. Suppose o = -6*t + 9. Let h be (-1)/(4/(-20)*t). Solve -p - 2 = -h for p.
3
Let x = 217 - 57. Let o = -144 + x. Solve 0 = o*v - 20*v for v.
0
Let t(y) = y**2 - 8*y - 15. Let k be t(10). Suppose 0 = -0*v + v + 4*x - 43, 2*v + k*x - 74 = 0. Suppose 10 = v*p - 22*p. Solve 4*n - p*n + 10 = 0 for n.
-5
Suppose 2*l - 5*z - 55 = 0, -2*l + 155 = 3*l + 5*z. Let x(n) = n**3 + 61*n**2 + 29*n + 1784. Let d be x(-61). Solve 21*r - d*r = -l for r.
-5
Let j(y) = 23*y**2 - 3*y + 96. Let i be j(0). Solve -629*m = -641*m + i for m.
8
Let o(v) = 3*v**2 - 3*v - 3. Let x be o(-2). Let p = 150 + -144. Suppose 0*d - 5*d = 5*z + x, p = -5*d - 2*z. Solve d = 4*u + 21 - 1 for u.
-5
Suppose l + 138 = 7*l. Suppose 0 = -3*r + 4*s + l, -4*r - 3*s = 7 + 4. Solve h = -2 + r for h.
-1
Suppose -19*m - 24 = -23*m. Let o be 3 + ((-144)/(-4))/m. Solve 0 = b + o - 4 for b.
-5
Let u be (-3 + 4)*1*0. Let d(m) = 3*m**2 - 50*m + 110. Let w(j) = 2*j**2 - 34*j + 73. Let p(v) = 5*d(v) - 7*w(v). Let q be p(6). Solve u = r - q + 1 for r.
2
Let m(n) = 5*n**2 - 293*n + 1695. Let c be m(6). Solve 11*s + c =
|
{
"pile_set_name": "DM Mathematics"
}
|
2918*q/5 - 91328/5.
-2*(q + 32)*(q + 1427)/5
Suppose 4*b**4/9 - 116*b**3/3 - 1072*b**2/9 - 80*b = 0. Calculate b.
-2, -1, 0, 90
Suppose 2*n**4 + 2860*n**3 + 17112*n**2 + 34192*n + 22784 = 0. What is n?
-1424, -2
Suppose -2*z**3 + 226*z**2 + 32876*z - 66640 = 0. What is z?
-85, 2, 196
Let 3*t**5/5 - 117*t**4/5 - 1107*t**3 + 216849*t**2/5 = 0. Calculate t.
-43, 0, 41
Factor -2*q**2/9 + 412250*q/9 - 824492/9.
-2*(q - 206123)*(q - 2)/9
Factor 9*h**3/2 + 230145*h**2/2 - 153436*h + 51146.
(h + 25573)*(3*h - 2)**2/2
Solve -484*g**3 + 243188*g**2 - 110465*g + 12550 = 0.
5/22, 502
Suppose 15*c**5 + 55*c**4 + 75*c**3 + 45*c**2 + 10*c = 0. What is c?
-1, -2/3, 0
Suppose 3*z**4 - 279*z**3 + 4653*z**2 - 8481*z + 4104 = 0. What is z?
1, 19, 72
Solve 2*f**3/5 + 4*f**2 - 328*f/5 - 144 = 0.
-18, -2, 10
Factor w**5 - 165*w**4 + 963*w**3 - 1435*w**2 + 636*w.
w*(w - 159)*(w - 4)*(w - 1)**2
Determine a, given that -3*a**3 - 2421*a**2 - 70017*a - 67599 = 0.
-777, -29, -1
What is d in -d**2 - 2449*d - 2448 = 0?
-2448, -1
Let 600315040*m**2/3 + 542360*m/3 + 245/6 = 0. Calculate m.
-7/15496
Factor -5*o**2 - 17010*o + 221975.
-5*(o - 13)*(o + 3415)
Let -2*a**5 - 48*a**4 + 3434*a**3 + 608*a**2 - 40152*a - 54560 = 0. What is a?
-55, -2, 4, 31
Factor -3*o**3 + 8709*o**2 - 232686*o - 776520.
-3*(o - 2876)*(o - 30)*(o + 3)
Factor 981*p**3 + 5882*p**2 + 8805*p - 36.
(p + 3)**2*(981*p - 4)
Factor 4*h**4 - 656776*h**3 + 656772*h**2.
4*h**2*(h - 164193)*(h - 1)
Factor -5*p**2 + 3345*p - 3340.
-5*(p - 668)*(p - 1)
Determine d so that 7*d**5 - 355*d**4 + 4161*d**3 - 6265*d**2 + 1432*d + 1020 = 0.
-2/7, 1, 15, 34
Solve -2*o**3 - 688*o**2 + 11442*o - 28080 = 0.
-360, 3, 13
Find a such that -3*a**4 + 3291996*a**3 - 903096554652*a**2 - 3612425722656*a - 3612438890688 = 0.
-2, 548668
Factor -f**3/8 + 387*f**2/4 + 194*f.
-f*(f - 776)*(f + 2)/8
What is m in -2*m**4/9 - 262*m**3/9 + 1646*m**2/9 + 214*m/9 - 2740/3 = 0?
-137, -2, 3, 5
Factor -3*v**3/5 - 267*v**2/5 - 246*v/5 + 1584/5.
-3*(v - 2)*(v + 3)*(v + 88)/5
Let -k**3/3 + 205*k**2/3 - 268*k = 0. What is k?
0, 4, 201
Suppose 16*g**3 + 2604724*g**2 - 1953556*g - 651184 = 0. What is g?
-162796, -1/4, 1
Solve 2*t**4/7 + 150*t**3/7 - 662*t**2/7 - 2334*t/7 + 2844/7 = 0 for t.
-79, -3, 1, 6
Factor -4*h**2 + 424*h + 40748.
-4*(h - 167)*(h + 61)
Factor j**3 - 104*j**2 + 3055*j - 26352.
(j - 61)*(j - 27)*(j - 16)
Solve -2*b**4/5 + 23758*b**3/5 - 71256*b**2/5 - 8*b/5 + 95008/5 = 0 for b.
-1, 2, 11876
Let 4*v**4 - 176*v**3 - 77096*v**2 + 1738704*v + 390378564 = 0. What is v?
-89, 111
Suppose -15*g**3 + 253*g**2 + 604*g + 76 = 0. Calculate g.
-2, -2/15, 19
Factor 2*a**2/7 + 5170*a/7 - 10348/7.
2*(a - 2)*(a + 2587)/7
Suppose -8*y**3 - 90188*y**2 - 405664*y + 225380 = 0. What is y?
-11269, -5, 1/2
Suppose -f**5 + 22*f**4 - 66*f**3 - 112*f**2 + 67*f + 90 = 0. Calculate f.
-1, 1, 5, 18
Factor -5*d**3 + 1455*d**2 - 14175*d + 35125.
-5*(d - 281)*(d - 5)**2
Let -10*h**5/3 + 368*h**4/3 - 208*h**3 - 236*h**2/3 + 922*h/3 - 140 = 0. Calculate h.
-6/5, 1, 35
Suppose -v**3 - 2584*v**2 - 12889*v + 15474 = 0. What is v?
-2579, -6, 1
Determine q so that q**4/8 - 27*q**3/4 + 857*q**2/8 - 390*q - 504 = 0.
-1, 7, 24
Factor -1262*c**2/5 + 94654*c/5 - 60.
-2*(c - 75)*(631*c - 2)/5
Solve -5*u**5 + 699*u**4 - 3940*u**3 + 7264*u**2 - 3744*u - 1072 = 0.
-1/5, 2, 134
Factor 4*k**4 + 416*k**3 + 4188*k**2 + 8784*k - 13392.
4*(k - 1)*(k + 6)**2*(k + 93)
Solve 4*g**3/9 - 274*g**2/9 + 1612*g/9 = 0 for g.
0, 13/2, 62
Solve -3*j**4 - 579*j**3 + 12*j**2 + 2316*j = 0.
-193, -2, 0, 2
Solve -4*c**2/3 - 54424*c/3 - 185123236/3 = 0 for c.
-6803
Factor 3*u**3/8 + 2663*u**2/8 + 7077*u/8 - 2655/8.
(u + 3)*(u + 885)*(3*u - 1)/8
Determine f so that 3*f**2/2 - 687*f + 6795/2 = 0.
5, 453
Factor c**2/2 + 92233*c/2 - 138354.
(c - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
-9 + 9 + 9*o).
18*o**4
Expand (-7 - 10 - 6)*(-2 + 4 - 3)*(0*z**2 - z**4 + 0*z**2).
-23*z**4
Expand 0*r**2 + r**2 - 4*r**2 - 2 - r**2 + 2 + (-3*r**2 + 6*r**2 - 4*r**2)*(-3 - 2 + 3) + r**2 - 2*r**2 + 2*r**2.
-r**2
Expand (3*f - 3*f + f)*(3*f**2 + 7*f**2 + 0*f**2).
10*f**3
Expand (3 - 7 + 2)*(10*y - 1 + 0 - 4*y).
-12*y + 2
Expand ((0 + 2*r + 0)*(0 - 3 + 0) - 4 + 4 - 2*r)*(-1 + 1 + 1)*(2*r**4 - r**4 + r**4).
-16*r**5
Expand (-3 + 0 + 1)*(-7 + 3 - 4)*(2*d**4 + 0*d**4 - 4*d**4).
-32*d**4
Expand (y**4 + y**4 - 3*y**4)*(-2*y + y + 2*y) + 3*y**4 - 3*y**4 - 2*y**5 + (y**2 - 2*y + 2*y)*(-25*y**2 + 25*y**2 - 9*y**3).
-12*y**5
Expand (-2*v + 0*v - 24 + 21)*(-1 + 0 + 0).
2*v + 3
Expand (8*k**3 + 43*k - 43*k)*(0 + 3 - 4).
-8*k**3
Expand i**3 - 3*i**3 + 4*i**3 + (-5*i - 2*i + 6*i)*(i**2 + 10*i**2 - 2*i**2).
-7*i**3
Expand 0 - 3*a**4 + 0 + 3*a**4 + 0*a**4 + a**4 + (-2*a**3 + 0*a**3 + a**3)*(-3*a + 2*a + 0*a) + 3*a**3 - 3*a**3 + a**4.
3*a**4
Expand (2*x + 3 - 3)*(-4 + x**2 + 4) + 0*x**3 + 3*x**3 - 4*x**3 + (0 + 3 - 4)*(-7*x**3 - 8*x + 8*x).
8*x**3
Expand (2*w - 4*w + 4*w)*(-w**4 - w**4 - w**4) - w**2 + 5*w**2 - 28*w**5 + 25*w**5.
-9*w**5 + 4*w**2
Expand (-2*i + 0*i + 0*i)*(4*i**2 + 2*i - 2*i) + i**3 + 3*i**2 - 3*i**2.
-7*i**3
Expand -2 - x**2 - 4*x**2 + 3*x**2 + (0*x - 2*x + 3*x)*(-2*x + 5*x - 2*x).
-x**2 - 2
Expand (-o - o + 3*o)*(-7 + 14 + 2*o - 10).
2*o**2 - 3*o
Expand (3 - 1 - 1 + (0 - 1 + 2)*(0 + 1 + 1))*(-4*y**2 + 2*y**2 + 0*y**2).
-6*y**2
Expand (4 - 3 + 2)*(6*w**2 + 4*w**2 - 4*w**2 + (2*w**2 - 2*w**2 - w**2)*(2 + 2 - 2) + 4*w**2 - 2*w + 2*w).
24*w**2
Expand (2*g**2 - g**2 - 2*g**2)*(-2*g + 3 - 3)*(11 - 11 - 8*g).
-16*g**4
Expand 1 - 2*t - 1 - t - 3*t - 8*t + (-1 + 2 + 0)*(4*t - 3*t + 0*t) - 3*t - 2*t + 6*t.
-12*t
Expand (-1 + 1 - 2*r + (4 - 3 - 3)*(r - r - 2*r) + 0*r - 3*r + 4*r)*(3*r - 28 + 33 - 5*r).
-6*r**2 + 15*r
Expand (0*v + 0*v - 3*v**3)*(-4 - v + 4) + 2*v**4 - 5*v**4 + 4*v**4 + 0*v**4 + 5*v**4 - v**4.
8*v**4
Expand (-3*m**2 + 3*m**2 - m**2)*(4 - 5 + 23*m - 22*m).
-m**3 + m**2
Expand -9*g**5 - 3 + 2 + 11*g**5 - 2*g + 2*g - g**5 + (-2*g**4 + 5*g**4 - 4*g**4)*(-2*g - 3 + 3).
3*g**5 - 1
Expand (2*n**2 - 2*n**2 - n**3 + (2*n + n - 5*n)*(0*n**2 + 4*n**2 - 5*n**2))*(0*n + 4*n + 0*n).
4*n**4
Expand (v - 1 + 1)*(3 - 2*v - 3) + v**2 + 0*v + 0*v + (-v - 3*v + 3*v)*(4 + 5*v - 6 - 1).
-6*v**2 + 3*v
Expand -2*y**5 + 3*y**5 - 2*y**5 + (3 + y - 3)*(-2 + 2 - 5)*(-2*y**4 - 5*y**4 - y**4).
39*y**5
Expand -2*x**2 + 2*x**2 + 2*x**5 + (9*x + 6*x - 7*x)*(x**4 - 2*x**3 + 2*x**3) + 0*x**5 + 2*x**5 + 0*x**5.
12*x**5
Expand (-4 + 4 - 1)*(1 - 3 + 1)*(2*b + 0*b + 0*b).
2*b
Expand (-2*m + 2*m**3 - 3*m**3 - 3*m**3)*(-1 - 1 + 5).
-12*m**3 - 6*m
Expand j**5 - j + j + (-4*j + 0*j + 2*j)*(-j**4 + j**2 - j**2) - 4*j**5 + 2*j**5 + 0*j**5 + 16*j**5 - 15*j**3 + 15*j**3.
17*j**5
Expand 5*t**3 - 5*t**3 - 2*t**4 + (-7 - 2 - 5)*(t**4 - 4*t**4 + 2*t**4) - 2*t**4 - t**4 + t**4.
10*t**4
Expand c + 3*c**2 - c + (-3*c + 0*c + 2*c)*(-6*c + 4*c - 50*c)*(-1 - 1 + 3).
55*c**2
Expand (1 + 2 - 1)*(d + 0 + 0) - 2*d + 3 - 3 + (-4 + 4 - 2)*(d - d - 2*d) + 6*d - 18 + 18.
10*d
Expand (5 - 25 - 2)*(n**3 + n**3 + 3*n**3).
-110*n**3
Expand 0*y + 3*y**4 + 0*y + 0*y + 0*y + y**4 + (y - 4*y + 2*y)*(y**3 - y**3 - y**3) + (-y + 4*y - y)*(-5*y**3 + 6*y**3 - 4*y**3).
-y**4
Expand (-1 + 0 + 3)*(2*r + r - 2*r) - 3*r + r + r - r - 3*r - 4*r.
-7*r
Expand (4*h**3 - 4*h**3 + h**4)*(-5 + 1 - 1)*(-8 + 2 + 2).
20*h**4
Expand 10*
|
{
"pile_set_name": "DM Mathematics"
}
|
n - 6
What is the y'th term of 2, -15, -32, -49?
-17*y + 19
What is the k'th term of 23, 35, 61, 107, 179, 283, 425?
k**3 + k**2 + 2*k + 19
What is the j'th term of -26, -18, -8, 4?
j**2 + 5*j - 32
What is the a'th term of -737, -739, -741, -743?
-2*a - 735
What is the c'th term of -14, -3, 24, 73, 150?
c**3 + 2*c**2 - 2*c - 15
What is the l'th term of -634, -1270, -1916, -2578, -3262?
-l**3 + l**2 - 632*l - 2
What is the j'th term of 49, 109, 151, 169, 157?
-j**3 - 3*j**2 + 76*j - 23
What is the f'th term of 105, 232, 393, 600, 865?
2*f**3 + 5*f**2 + 98*f
What is the y'th term of 220, 216, 202, 172, 120, 40, -74?
-y**3 + y**2 + 220
What is the v'th term of -618, -606, -594, -582?
12*v - 630
What is the n'th term of 1036, 1039, 1042, 1045?
3*n + 1033
What is the g'th term of 13, -28, -93, -182?
-12*g**2 - 5*g + 30
What is the o'th term of -305, -307, -309?
-2*o - 303
What is the h'th term of -1513, -3024, -4535, -6046, -7557?
-1511*h - 2
What is the a'th term of 72, 143, 214, 285?
71*a + 1
What is the t'th term of -47, -68, -89, -110, -131?
-21*t - 26
What is the m'th term of 563, 551, 517, 449, 335?
-2*m**3 + m**2 - m + 565
What is the d'th term of -57, -134, -227, -336, -461, -602?
-8*d**2 - 53*d + 4
What is the g'th term of 189, 397, 605, 813, 1021?
208*g - 19
What is the p'th term of -62, -454, -856, -1274, -1714, -2182?
-p**3 + p**2 - 388*p + 326
What is the w'th term of 24, 42, 42, 18, -36, -126?
-w**3 - 3*w**2 + 34*w - 6
What is the p'th term of -35, -136, -289, -482, -703, -940, -1181?
2*p**3 - 38*p**2 - p + 2
What is the k'th term of 20, 24, 36, 62, 108?
k**3 - 2*k**2 + 3*k + 18
What is the j'th term of 240, 230, 216, 198, 176?
-2*j**2 - 4*j + 246
What is the q'th term of -18, -35, -54, -75?
-q**2 - 14*q - 3
What is the o'th term of 588, 577, 560, 537, 508, 473, 432?
-3*o**2 - 2*o + 593
What is the g'th term of 6, 52, 172, 402, 778, 1336, 2112, 3142?
6*g**3 + g**2 + g - 2
What is the w'th term of 96, 194, 292?
98*w - 2
What is the x'th term of 65, 286, 889, 2066, 4009?
32*x**3 - x**2 + 34
What is the f'th term of 129, 255, 377, 495, 609, 719?
-2*f**2 + 132*f - 1
What is the h'th term of -5, -5, -3, 1, 7?
h**2 - 3*h - 3
What is the b'th term of 203, 381, 539, 671, 771?
-b**3 - 4*b**2 + 197*b + 11
What is the z'th term of -2, -27, -68, -125, -198, -287, -392?
-8*z**2 - z + 7
What is the s'th term of 1896, 1895, 1894, 1893?
-s + 1897
What is the x'th term of -273, -275, -277, -279?
-2*x - 271
What is the n'th term of 1678, 3349, 5016, 6679, 8338?
-2*n**2 + 1677*n + 3
What is the l'th term of -44, -74, -80, -50, 28?
2*l**3 - 44*l - 2
What is the x'th term of 2660, 2651, 2642, 2633, 2624, 2615?
-9*x + 2669
What is the m'th term of 9, 20, 31, 42, 53?
11*m - 2
What is the s'th term of 201, 805, 1821, 3255, 5113, 7401, 10125?
s**3 + 200*s**2 - 3*s + 3
What is the i'th term of -207, -178, -149?
29*i - 236
What is the y'th term of 40, 31, 16, -5, -32?
-3*y**2 + 43
What is the c'th term of -15, -55, -95, -135?
-40*c + 25
What is the m'th term of 1161, 1187, 1261, 1407, 1649?
4*m**3 - 2*m + 1159
What is the t'th term of -11, -27, -49, -77, -111?
-3*t**2 - 7*t - 1
What is the k'th term of 86, 180, 274, 368, 462?
94*k - 8
What is the b'th term of -9, -6, 5, 24?
4*b**2 - 9*b - 4
What is the m'th term of -682, -679, -674, -667, -658?
m**2 - 683
What is the n'th term of -13, -39, -73, -121, -189, -283?
-n**3 + 2*n**2 - 25*n + 11
What is the r'th term of -84, -88, -92?
-4*r - 80
What is the a'th term of -26, -50, -122, -266, -506, -866, -1370?
-4*a**3 + 4*a - 26
What is the z'th term of -78, -88, -124, -198, -322, -508, -768, -1114?
-2*z**3 - z**2 + 7*z - 82
What is the q'th term of -152, -152, -142, -116, -68, 8, 118, 268?
q**3 - q**2 - 4*q - 148
What is the x'th term of -164, -177, -214, -287, -408, -589?
-2*x**3 + x - 163
What is the b'th term of -43, -155, -341, -601?
-37*b**2 - b - 5
What is the y'th term of 1890, 1891, 1892, 1893, 1894, 1895?
y + 1889
What is the g'th term of 155, 242, 329, 416?
87*g + 68
What is the d'th term of -421, -840, -1259, -1678?
-419*d - 2
What is the h'th term of -9, -19, -11, 21, 83, 181, 321, 509?
h**3 + 3*h**2 - 26*h + 13
What is the o'th term of -45, -45, -43, -39, -33?
o**2 - 3*o - 43
What is the n't
|
{
"pile_set_name": "DM Mathematics"
}
|
ify c**(-19)*c/c**(1/7)*c**(-35)/(c*c/(c**27*c)) assuming c is positive.
c**(-190/7)
Simplify (((z**(1/4)*z*z)/z*z)/z*z*z**(-1)*(z**(2/3)/z)**(16/3))/((((z**(-2/9)/z)/z)/(z/(z**(-2/25)/z)))/(z**2)**(-21)) assuming z is positive.
z**(-34403/900)
Simplify (w**(-7)*w*w**(2/5))**(-6/19)/(w**(2/7)/w**(2/17)*((w/(w/(w**(-1)/w*w)*w))/w*w)**(29/5)) assuming w is positive.
w**(29846/2261)
Simplify (b**(-1/2)*b)**30*(b*b*b*b**(1/4))/(b**(-3/2)/b)*(b*b*b*b*b/(b/(b/(b*b**(-6))))*b*b*b/(b/(b**(-2/7)*b)))**(-2/5) assuming b is positive.
b**(2193/140)
Simplify (q**(1/4)/(q/((q/q**(-1))/q)*q)*((((q**(-1)*q)/q*q)/q)/q)**27)/(((q*q**(-6)*q*q)/q**(-1/3))/(q**(-3)/q**(2/7))) assuming q is positive.
q**(-4651/84)
Simplify (((y/(y/((y/y**(1/4))/y)*y))/y)/(y/(y**(4/5)/y*y))*(y/y**(1/10)*y)/(y*y**4/y))/((y*y*y**9)/(y**7*y))**16 assuming y is positive.
y**(-1051/20)
Simplify ((c**(-1)*c*c/(c*c**4*c))/(c**(2/5)/c**9))/((c**(-2/7))**(-1/4))**36 assuming c is positive.
c**(36/35)
Simplify (v/v**(-5)*v**(-1/4)*(v/v**1)**(-3/25))/(v*v*v**(-1/8)*v**0)**(-3/16) assuming v is positive.
v**(781/128)
Simplify ((z**(-1/2)/z*z*z*z**6)/(z**(-2/3))**(-20))/((z**(4/7)*z)/(z/z**(-3/4)))**17 assuming z is positive.
z**(-319/84)
Simplify ((u**(-3/2)/u)**(2/11)/(u**(-1/15)/u)**(-2/69))**(2/35) assuming u is positive.
u**(-11054/398475)
Simplify (l/l**(-1/8)*l*l/l**(2/3))/((l**9/l)/((l/(((l**(-13/7)*l)/l)/l))/l)) assuming l is positive.
l**(-451/168)
Simplify ((m*m*m*m**(2/13))/m**7*m**(-1/8)/m**(-7))/(m**(4/7)*m*(m/m**(-4))/m)**(2/17) assuming m is positive.
m**(29373/12376)
Simplify p/(p**(-1/6)*p)*(p/(p/(p/(p*p/p**5*p))))/p*p**(-2/5)/((p/(p/p**(-3)))/p)*((p/p**(-1))**(-1))**(-1) assuming p is positive.
p**(233/30)
Simplify (k**(-2/5)*k)**(-14)/(k*k*k**(-2/3)*k*k*k)**41*(k**(-2/7))**(-22)*k**(-2/3)*k*k/(k**(2/7)*k) assuming k is positive.
k**(-2696/15)
Simplify ((((n**4/n)/n)/(n/(n**(4/7)*n)))/(n/((n/n**5)/n)*(((n/((n/n**(-6))/n)*n*n)/n)/n*n*n*n)/n))/(n**(4/9)*n/(n**(-3/7)*n))**41 assuming n is positive.
n**(-326/9)
Simplify (v**6/(v*(v*v/v**(-3/5)*v)/v))**30/((((v**(-1/4)*v)/v)/(v*((v*v**(-3))/v)/v*v))/((v**(-1/3)/v)/(v**5*v))) assuming v is positive.
v**(755/12)
Simplify ((((c**(2/9))**(-1/3))**(-6))**(-20))**50 assuming c is positive.
c**(-4000/9)
Simplify (((l**(1/4)*l*l/l**(-2/17))**12)**(-18))**(4/7) assuming l is positive.
l**(-4968/17)
Simplify (((t*t**(-8))**(-3/19))**(-33))**(-20) assuming t is positive.
t**(13860/19)
Simplify ((d/d**(-3/8)*d)/(d/d**1))**(-2/27)/((d/d**(-2/9))**(2/109)/(d**4/(d*(d*(d*d*d**(-2/15)*d)/d)/d*d*d))) assuming d is positive.
d**(-62687/58860)
Simplify (((o/(o**(1/2)/o)*o)/(o/(o/o**(-3/2)))*o/o**(4/5)*o*((o**0/o)/o)/o)**(2/21))**(-3/4) assuming o is positive.
o**(-11/70)
Simplify (((w/(w/w**0))/w**(-1/4))/(w**(1/10)*w/(w/(((w*w*w**(-4)*w)/w)/w)*w)))/(((w*w**(1/3))/(w/w**(2/7)))/(w**5*w**(2/7))) assuming w is positive.
w**(529/60)
Simplify (c**(20/7))**(3/22)*(c**(-3/8))**22 assuming c is positive.
c**(-2421/308)
Simplify (q/q**(1/8)*q*q*q)/q*q*q**(-4)/q*(q*q**(2/5))/(q*q**(-4)/q)*(q**1)**(-4/3)*q**(2/5)/(q**(-4/3)/q) assuming q is positive.
q**(227/40)
Simplify (((k**(-33)*k)/k**(-20))/(((k*k**(3/4)/k)/k*k)/(k**(12/11)*k)))**(3/22) assuming k is positive.
k**(-1407/968)
Simplify ((b**(-14))**(3/8)/(b**(-10/7)*b*b**(-42)))**(-2) assuming b is positive.
b**(-1041/14)
Simplify ((t*(t**(-1)*t)/t)/t*t**(-7/3)*t**(2/11)*t*t**(-2/13))/((t**(1/4)/((t**5/t)/t*t))/(t**(-7)*t/t**(1/7))) assuming t is positive.
t**(-56435/12012)
Simplify (k**(-10)/k**2*k/k**(21/4)*k**6/k)**(-40) assuming k is positive.
k**450
Simplify (c**(-1)/(c/(c/(c/(((((c**3/c)/c)/c*c)/c*c)/c))*c))*(c/c**1)**(-2/15))/(((c**(-1/3)*c)/c)**23)**(1/87) assuming c is positive.
c**(-238/261)
Simplify ((x**(-1/3))**(-47)*x/((x/x**(6/7))/x)*x**(1/9))**(-1/3) assuming x is positive.
x**(-1111/189)
Simplify ((m**(-1))**(-2/9)*(m*m**8*m)**(-1))**(-33/2) assuming m is positive.
m**(484/3)
Simplify (o**(-2/9)/(o*o*o**5/o))**(-1/7)/((o**2)**17/((o**(-1/6)/o*o)/(o**(-1/2)/o))) assuming o is positive.
o**(-286/9)
Simplify (t**(-8)*(t*t**(9/2)*t)/t)**17*(t**(2/7))**22*((t/(t/(t**(2/7)*t)))/t)/(t/(t**(-7)/t)) assuming t is positive.
t**(-629/14)
Simplify (h/h**(1/2)*h*h*h*(h/(h/(h*h**(-1))))/h)/(h**(1/4)*h)**(-39)*(h**(2/3))**(2/5)/(h**(-1/4)*
|
{
"pile_set_name": "DM Mathematics"
}
|
4, 2, 0, 0.1?
2
Which is the third smallest value? (a) -48 (b) 4/3 (c) -3
b
What is the biggest value in 3/8, -0.2, -5, -4/7, -20?
3/8
Which is the fifth biggest value? (a) -0.1 (b) 2 (c) -3/4 (d) -3 (e) -190
e
What is the second smallest value in 35/6, 0, 19?
35/6
What is the biggest value in -7, 103, -4?
103
What is the third biggest value in -5, 10/11, -2/11, -2?
-2
Which is the third smallest value? (a) 1/2 (b) -2 (c) -2/49
a
Which is the biggest value? (a) -3 (b) -0.33 (c) -1 (d) -5
b
What is the fourth biggest value in 5, 2/11, -1, 1, -1.8?
-1
What is the second smallest value in 0.4, -2/127, -1, -1.6?
-1
Which is the smallest value? (a) 0.4 (b) 75 (c) 1 (d) 5
a
Which is the third biggest value? (a) 7.5 (b) -2/9 (c) -4
c
What is the second biggest value in 1, 3, 1/8, 84, 0.2?
3
What is the second smallest value in -2, 1.2, 4/3?
1.2
Which is the smallest value? (a) 1/3 (b) -0.08 (c) 0.59
b
Which is the second biggest value? (a) -1/2 (b) 3/4 (c) -203
a
What is the fourth biggest value in 71, -2/13, 2, 3?
-2/13
What is the biggest value in 2/5, 0.5, 1/46, 0.1?
0.5
What is the fourth biggest value in 0.1, -2/9, -3, 56?
-3
What is the smallest value in -4, -6/11, -5?
-5
What is the third smallest value in -5/22, 0.5, -42?
0.5
What is the fourth smallest value in 0.5, -4, 4, -2/39, -5?
0.5
Which is the second biggest value? (a) -5 (b) 182 (c) -0.4
c
What is the biggest value in 2, -1/6, 3?
3
Which is the second smallest value? (a) -0.07 (b) 1 (c) -2/11 (d) 0
a
What is the biggest value in -98, -0.5, 2.7?
2.7
Which is the second biggest value? (a) -0.1 (b) -4/3 (c) 18/11
a
What is the smallest value in 3/26, -1.6, 3?
-1.6
What is the second smallest value in -1/7, 1.183, -0.1, 0.2, 0?
-0.1
What is the fourth smallest value in 2, 0, -41/2, 0.1?
2
Which is the biggest value? (a) 1/21 (b) -3 (c) 15 (d) 2
c
Which is the third smallest value? (a) -30 (b) 2 (c) -4 (d) -2/5
d
What is the fifth smallest value in -2, 0.11, -8, -5, 2/7?
2/7
What is the fifth smallest value in 5/4, -3/4, 0.1, 1, 8/5?
8/5
Which is the smallest value? (a) 1/2 (b) 1446 (c) -1
c
What is the third smallest value in -3, 9, -6/43, -0.4, -5?
-0.4
Which is the second biggest value? (a) 3 (b) 18 (c) -1 (d) 4 (e) 15/4
d
What is the third smallest value in 4, 6, 0?
6
What is the third smallest value in -5, -1/4, 2/9?
2/9
Which is the biggest value? (a) -2/13 (b) -3 (c) 0.009 (d) -24
c
What is the third smallest value in 3/25, -2/9, -0.5, -0.4?
-2/9
What is the fourth smallest value in 0.5, -11, -10/3, -5/2?
0.5
Which is the third smallest value? (a) 0.3 (b) 0.008 (c) -5
a
Which is the biggest value? (a) -98 (b) 0.3 (c) 4
c
Which is the third biggest value? (a) -0.2 (b) -3/4 (c) 16/5 (d) 1 (e) -4
a
What is the third biggest value in -1/2, 280, -0.2, 1/5?
-0.2
Which is the fifth biggest value? (a) -1 (b) -12 (c) -2/9 (d) -1/3 (e) -7/3
b
What is the biggest value in 0.9, -93, 5?
5
Which is the fourth biggest value? (a) 1 (b) -1/114 (c) 0.3 (d) -0.1
d
What is the biggest value in 0.83, 3/2, 4/3?
3/2
What is the biggest value in 3, -3.6, -8, 2/21?
3
What is the biggest value in -51, -2/13, 1, -0.2?
1
Which is the second biggest value? (a) 0.1 (b) -2 (c) 9
a
What is the second biggest value in -0.18, -0.03, 2?
-0.03
Which is the second smallest value? (a) -4/3 (b) 56 (c) -5 (d) -2
d
What is the third smallest value in -1, 0.2, 0, -1/466?
0
What is the smallest value in 0, 0.4, 75?
0
Which is the second biggest value? (a) 0.9 (b) 5 (c) -4 (d) -0.5 (e) 0.18
a
Which is the second smallest value? (a) -2/5 (b) -20.7 (c) -0.01
a
What is the second smallest value in -1/10, 0.1, 26?
0.1
Which is the second biggest value? (a) -4 (b) 1 (c) -2
c
Which is the fourth biggest value? (a) 4/3 (b) -1 (c) -12 (d) -2 (e) -0.4
d
What is the second biggest value in -5, -10/11, -2/21?
-10/11
What is the third smallest value in 4, 2/5, -2, -1?
2/5
What is the smallest value in -5, 4, 43, 1?
-5
Which is the biggest value? (a) 0.04 (b) -2/53 (c) -0.2
a
What is the second biggest value in -1/4, 4, -2, 0.4?
0.4
What is the third biggest value in 2/13, -7, -0.3, 0?
-0.3
What is the second smallest value in 7/10, 0, 4?
7/10
What is the biggest value in 4, -6, -5, 1?
4
What is the second smallest value in -4, 1, -3, -0.4, -39?
-4
Which is the fourth smallest value? (a) 16 (b) 2 (c) 1 (d) 123
|
{
"pile_set_name": "DM Mathematics"
}
|
s?
97830.44
What is eleven halves of a century in decades?
55
What is nineteen quarters of a milligram in micrograms?
4750
How many millennia are there in 0.7867176 months?
0.0000655598
How many months are there in four fifteenths of a millennium?
3200
Convert 171.1066 kilometers to micrometers.
171106600000
Convert 1.6890201 months to years.
0.140751675
What is 43/4 of a microgram in nanograms?
10750
Convert 23097.86ng to tonnes.
0.00000000002309786
How many millilitres are there in 18.10441l?
18104.41
What is eleven tenths of a meter in millimeters?
1100
Convert 0.6616028 kilograms to grams.
661.6028
Convert 15.16025l to millilitres.
15160.25
Convert 6.290969l to millilitres.
6290.969
Convert 455.315 centuries to years.
45531.5
What is 76.322 seconds in nanoseconds?
76322000000
Convert 0.5865188 centuries to months.
703.82256
What is 101849.3 micrograms in milligrams?
101.8493
How many years are there in 0.063276 decades?
0.63276
How many meters are there in 775806.4cm?
7758.064
Convert 0.1735885ng to micrograms.
0.0001735885
Convert 225138.8ml to litres.
225.1388
How many millilitres are there in one quarter of a litre?
250
How many millilitres are there in 0.1474569l?
147.4569
What is 7831.19 microseconds in milliseconds?
7.83119
How many millennia are there in 0.0142246 centuries?
0.00142246
How many millimeters are there in twenty-nine fifths of a centimeter?
58
Convert 45251.66l to millilitres.
45251660
What is 1.47237 decades in millennia?
0.0147237
How many microseconds are there in 9595.172 milliseconds?
9595172
How many millilitres are there in 46.47828 litres?
46478.28
What is one fifth of a litre in millilitres?
200
How many years are there in 29/5 of a century?
580
How many grams are there in fourty-nine fifths of a kilogram?
9800
How many nanometers are there in fifteen quarters of a micrometer?
3750
How many nanometers are there in 80.75371 centimeters?
807537100
Convert 6674.24l to millilitres.
6674240
How many days are there in 84.82878 minutes?
0.058908875
Convert 530.3411ml to litres.
0.5303411
How many minutes are there in 19/4 of a day?
6840
What is 795.6208 nanograms in grams?
0.0000007956208
How many millilitres are there in 13/4 of a litre?
3250
How many seconds are there in 37.38121 weeks?
22608155.808
How many millennia are there in 767.1603 decades?
7.671603
What is thirty-one halves of a decade in years?
155
What is 81/2 of a century in months?
48600
What is 4461.353 litres in millilitres?
4461353
What is 492806.7ns in hours?
0.00000013689075
How many millilitres are there in one fifth of a litre?
200
How many months are there in six fifths of a decade?
144
How many millilitres are there in 7/8 of a litre?
875
What is 76078.24g in milligrams?
76078240
How many centimeters are there in 3/10 of a kilometer?
30000
How many micrometers are there in 40.95044 millimeters?
40950.44
Convert 607.8051ml to litres.
0.6078051
How many years are there in seven quarters of a millennium?
1750
Convert 4.6110384s to hours.
0.001280844
What is seventeen halves of a centimeter in micrometers?
85000
How many milligrams are there in 17/2 of a gram?
8500
Convert 0.06559l to millilitres.
65.59
Convert 87127.58us to nanoseconds.
87127580
What is 233.075 milligrams in nanograms?
233075000
How many seconds are there in 1/27 of a week?
22400
How many kilograms are there in 0.2479085 milligrams?
0.0000002479085
Convert 0.4845026 meters to kilometers.
0.0004845026
How many months are there in 12/25 of a century?
576
What is 7/8 of a day in seconds?
75600
Convert 17064.42 decades to millennia.
170.6442
How many millilitres are there in 611778.5 litres?
611778500
What is 98/5 of a decade in years?
196
What is 0.7526111 centuries in decades?
7.526111
What is one fifth of a centimeter in millimeters?
2
What is one sixth of a week in hours?
28
How many decades are there in 756220.3 centuries?
7562203
What is 27/5 of a millisecond in microseconds?
5400
Convert 6.841944 micrograms to grams.
0.000006841944
What is twenty-seven halves of a century in years?
1350
What is 1/4 of a litre in millilitres?
250
Convert 1.439334 months to centuries.
0.001199445
What is five quarters of a millennium in years?
1250
How many millilitres are there in eighteen fifths of a litre?
3600
How many micrometers are there in 3/25 of a millimeter?
120
What is twelve sevenths of a week in minutes?
17280
Convert 103798.9cm to nanometers.
1037989000000
What is twenty-seven halves of a milligram in micrograms?
13500
How many litres are there in 5.376606 millilitres?
0.005376606
What is 83.25925ml in litres?
0.08325925
How many minutes are there in twenty-seven quarters of a week?
68040
How many micrograms are there in twenty-seven quarters of a milligram?
6750
How many centimeters are there in eighteen fifths of a meter?
360
How many millilitres are there in one tenth of a litre?
100
What is 13/5 of a milligram in micrograms?
2600
What is 4847.641 grams in tonnes?
0.004847641
Convert 47.2854 minutes to hours.
0.78809
What is 5/4 of a decade in months?
150
Convert 2.50697 milligrams to nanograms.
2506970
How many kilograms are there in 13/5 of a tonne?
2600
How many seconds are there in 21/4 of a minute?
315
What is 3/8 of a litre in millilitres?
375
How many kilograms are there in five quarters of a tonne?
1250
What is fourty-nine fifths of a centimeter in micrometers?
98000
What is 11/2 of a litre in millilitres?
5500
How many years are there in 1053279.3 months?
87773.275
How many years are there in fourty-six fifths of a millennium?
9200
How many milligrams are there in 9769.126ug?
9.769126
How many hours are there in 51/4 of a day?
306
What is 5920.4 weeks in hours?
994627.2
How many centimeters are there in fourty-one halves of a meter?
2050
What is six fifths of a millimeter in micrometers?
1200
How many millilitres are there in 12/25 of a litre?
480
Convert 37449.52ml to litres.
37.44952
What is 3/5 of a centimeter in micrometers?
6000
How many centimeters are there in 13/4 of a meter?
325
What is 618.5169 micrometers in kilometers?
0.0000006185169
How many minutes are there in one fifteenth of a day?
96
What is 5.415759 millennia in decades?
541.5759
What is eleven tenths of a millennium in years?
1100
How many micrograms are there in 3/40 of a gram?
75000
What is 670165.7 decades in centuries?
67016.57
How many millilitres are there in 6/5 of a litre?
1200
How many decades are there in 38027.68 centuries?
380276.8
How many nanograms are there in 3/40 of a microgram
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 13.
7
What is the remainder when 408111 is divided by 31?
27
Calculate the remainder when 1594 is divided by 529.
7
What is the remainder when 34466 is divided by 884?
874
Calculate the remainder when 754009 is divided by 3.
1
Calculate the remainder when 130897 is divided by 170.
167
What is the remainder when 99619 is divided by 353?
73
Calculate the remainder when 116085 is divided by 28.
25
Calculate the remainder when 90087 is divided by 45013.
61
What is the remainder when 37982 is divided by 176?
142
Calculate the remainder when 2358 is divided by 315.
153
Calculate the remainder when 12355 is divided by 62.
17
What is the remainder when 115323 is divided by 5766?
3
What is the remainder when 183344 is divided by 210?
14
Calculate the remainder when 142953 is divided by 722.
719
What is the remainder when 41710 is divided by 28?
18
Calculate the remainder when 59651 is divided by 59615.
36
Calculate the remainder when 35405 is divided by 11790.
35
What is the remainder when 30254 is divided by 3007?
184
What is the remainder when 79970 is divided by 19?
18
What is the remainder when 4980 is divided by 255?
135
What is the remainder when 7333 is divided by 23?
19
Calculate the remainder when 4899 is divided by 70.
69
What is the remainder when 80416 is divided by 946?
6
What is the remainder when 21930 is divided by 184?
34
Calculate the remainder when 4500 is divided by 1441.
177
Calculate the remainder when 1126 is divided by 220.
26
Calculate the remainder when 11335 is divided by 34.
13
What is the remainder when 73572 is divided by 14712?
12
What is the remainder when 369239 is divided by 43?
41
What is the remainder when 67412 is divided by 15?
2
Calculate the remainder when 118045 is divided by 238.
235
What is the remainder when 44490 is divided by 280?
250
What is the remainder when 4686 is divided by 4677?
9
What is the remainder when 432 is divided by 2?
0
Calculate the remainder when 11835 is divided by 66.
21
What is the remainder when 10417 is divided by 139?
131
Calculate the remainder when 24607 is divided by 46.
43
What is the remainder when 127510 is divided by 750?
10
Calculate the remainder when 136089 is divided by 45355.
24
Calculate the remainder when 33507 is divided by 11104.
195
What is the remainder when 252 is divided by 61?
8
What is the remainder when 283763 is divided by 78?
77
What is the remainder when 2693 is divided by 452?
433
Calculate the remainder when 62092 is divided by 62091.
1
Calculate the remainder when 14470 is divided by 1113.
1
What is the remainder when 10695 is divided by 877?
171
What is the remainder when 1637 is divided by 418?
383
Calculate the remainder when 7820 is divided by 201.
182
What is the remainder when 1653 is divided by 168?
141
Calculate the remainder when 581637 is divided by 370.
367
Calculate the remainder when 12289 is divided by 391.
168
What is the remainder when 610386 is divided by 24?
18
What is the remainder when 134029 is divided by 134028?
1
Calculate the remainder when 4000 is divided by 13.
9
Calculate the remainder when 25278 is divided by 389.
382
What is the remainder when 8368 is divided by 92?
88
What is the remainder when 22449 is divided by 66?
9
What is the remainder when 77883 is divided by 25960?
3
Calculate the remainder when 14069 is divided by 9.
2
What is the remainder when 2116 is divided by 51?
25
Calculate the remainder when 39042 is divided by 49.
38
Calculate the remainder when 9174 is divided by 2594.
1392
Calculate the remainder when 4749 is divided by 712.
477
What is the remainder when 2863 is divided by 1312?
239
Calculate the remainder when 25670 is divided by 1116.
2
Calculate the remainder when 18972 is divided by 910.
772
What is the remainder when 724 is divided by 246?
232
What is the remainder when 2253 is divided by 612?
417
Calculate the remainder when 294056 is divided by 62.
52
Calculate the remainder when 818 is divided by 105.
83
Calculate the remainder when 703053 is divided by 832.
13
Calculate the remainder when 148282 is divided by 283.
273
What is the remainder when 39399 is divided by 200?
199
Calculate the remainder when 804 is divided by 89.
3
Calculate the remainder when 105091 is divided by 24.
19
What is the remainder when 1348 is divided by 342?
322
Calculate the remainder when 317577 is divided by 11.
7
Calculate the remainder when 54734 is divided by 35.
29
Calculate the remainder when 90357 is divided by 18.
15
What is the remainder when 35303 is divided by 17?
11
Calculate the remainder when 10855 is divided by 321.
262
What is the remainder when 3550 is divided by 54?
40
What is the remainder when 75091 is divided by 25025?
16
What is the remainder when 1452830 is divided by 11?
5
What is the remainder when 388316 is divided by 56?
12
Calculate the remainder when 2377 is divided by 312.
193
Calculate the remainder when 161591 is divided by 9.
5
Calculate the remainder when 1055131 is divided by 12.
7
Calculate the remainder when 764 is divided by 123.
26
What is the remainder when 3090 is divided by 16?
2
What is the remainder when 20613 is divided by 133?
131
Calculate the remainder when 71174 is divided by 41.
39
Calculate the remainder when 479070 is divided by 47.
46
What is the remainder when 3838 is divided by 956?
14
What is the remainder when 4900 is divided by 141?
106
What is the remainder when 13234 is divided by 322?
32
Calculate the remainder when 180364 is divided by 2652.
28
What is the remainder when 8638 is divided by 958?
16
Calculate the remainder when 7393 is divided by 18.
13
Calculate the remainder when 158261 is divided by 19774.
69
Calculate the remainder when 19321 is divided by 186.
163
Calculate the remainder when 20981 is divided by 33.
26
What is the remainder when 931 is divided by 85?
81
What is the remainder when 216439 is divided by 140?
139
Calculate the remainder when 54144 is divided by 281.
192
What is the remainder when 74380 is divided by 827?
777
Calculate the remainder when 1456698 is divided by 265.
258
What is the remainder when 235463 is divided by 154?
151
What is the remainder when 41589 is divided by 3780?
9
What is the remainder when 597347 is divided by 85335?
2
Calculate the remainder when 20067 is divided by 836.
3
What is the remainder when 24859 is divided by 147?
16
Calculate the remainder when 606849 is divided by 40455.
24
Calculate the remainder when 1213556 is divided by 41.
38
Calculate the remainder when 203 is divided by 28.
7
Calculate the remainder when 87928 is divided by 100.
28
Calculate the remainder when 247188 is divided by 123589.
10
Calculate the remainder when 218728 is divided by 84.
76
Calculate the remainder when 241538 is divided by 1776.
2
Calculate the remainder when 238086 is divided by 19.
16
Calculate the remainder when 423662 is divided by 211828.
6
What is the remainder when 5557 is divided by 1387?
9
Calculate the remainder when 4215815 is divided by 6.
5
Calculate the remainder when 102599 is divided by 53.
44
What is the remainder when 5779 is divided by 100?
79
Calculate the remainder when 152107 is divided by 53.
50
Calculate the remainder when 2678 is divided by 541.
514
Calculate the remainder when 547 is divided by 121.
63
What is the remainder when 6066 is divided by 432?
18
Calculate the remainder when 2015 is divided by 320.
95
Calculate the remainder when 21329 is divided by 21293.
36
Calculate the remainder when 46664 is divided by 46.
20
Calculate the remainder when 336873 is divided by 201.
198
Calculate the remainder when 1135 is divided by 11.
2
Calculate the remainder when 24081 is divided by 2403.
51
What is the remainder when 133139 is divided by 951?
|
{
"pile_set_name": "DM Mathematics"
}
|
b) 3 (c) 0.01 (d) -4
c
Which is the closest to -6? (a) -10 (b) 3 (c) -3/2
a
Which is the nearest to 8? (a) 5 (b) -1 (c) 4 (d) 22
a
Which is the closest to 0? (a) 25/2 (b) 2 (c) 0.3 (d) -16
c
Which is the nearest to 2/9? (a) 2/7 (b) 6/11 (c) 0.4 (d) -6
a
What is the closest to -1/15 in -0.5, 5, -0.2?
-0.2
Which is the closest to -0.3? (a) -1 (b) 61 (c) 0 (d) 2/7
c
What is the nearest to -3/16 in -4/9, -5, -0.1?
-0.1
Which is the nearest to -1? (a) 1 (b) -2/3 (c) 1.51 (d) 0.5
b
What is the nearest to 16 in 5, 3/4, 1/7, 3?
5
What is the nearest to -0.1 in 1/6, 0.5, -1?
1/6
What is the closest to 2/9 in 6, 4/3, 6.3?
4/3
Which is the closest to 0.5? (a) 6 (b) 2/9 (c) 3
b
Which is the closest to -1? (a) -4 (b) -3/4 (c) 893
b
Which is the closest to -1/2? (a) -2/17 (b) -3/4 (c) 0.3 (d) 4
b
Which is the closest to 1? (a) 3/8 (b) -1 (c) -0.24 (d) 0
a
Which is the closest to -1? (a) -2/9 (b) 2/15 (c) -24 (d) 0
a
Which is the nearest to 1/4? (a) -3 (b) 17 (c) 0.1 (d) 1
c
What is the nearest to -2 in 5, 1, 3, 0.4?
0.4
Which is the nearest to 1? (a) 2/7 (b) -2/5 (c) -1 (d) -473
a
Which is the nearest to 1/5? (a) -132 (b) -4/3 (c) -4 (d) 1/5
d
What is the closest to 0.07 in 3, -3/8, -3/7?
-3/8
Which is the closest to -3/2? (a) -75 (b) 0 (c) -3/2 (d) 0.5
c
What is the nearest to -3 in 18, 0.3, 0.2, 1?
0.2
Which is the closest to -2/5? (a) -4 (b) 78 (c) 0.3
c
What is the closest to 2 in -1, -8/9, 0?
0
Which is the closest to -2/5? (a) -0.4 (b) 5 (c) -24 (d) 1
a
What is the closest to -2 in 2/9, 17, 0.4, -2?
-2
What is the closest to -2 in -2/9, -4, 0.3?
-2/9
Which is the nearest to 0.03? (a) -1 (b) 3/11 (c) 0.2 (d) -0.3
c
Which is the closest to -2/5? (a) -5 (b) -5/2 (c) -0.4 (d) 2/3
c
Which is the nearest to 1? (a) 0.3 (b) -2/19 (c) 9/7 (d) -13/5
c
What is the nearest to 0.16 in -1, -2/27, 0?
0
Which is the nearest to 1? (a) 0.3 (b) 3 (c) 0 (d) 10
a
Which is the closest to -3? (a) 0 (b) -5/3 (c) 4/7 (d) -0.1
b
What is the nearest to -2/7 in 3, -4, -1.4, 2?
-1.4
What is the nearest to 8 in -23, 0, 7?
7
What is the closest to -0.04 in 2/17, 12, -0.4, 0?
0
What is the nearest to -24 in -0.4, 1/6, -3, -3/2?
-3
Which is the nearest to -19/5? (a) 0.2 (b) -1 (c) -0.1 (d) -3/2
d
What is the closest to -2/7 in 5, 4, 0.3, -11?
0.3
Which is the nearest to -6? (a) -3 (b) -0.1 (c) 0.2
a
What is the nearest to -2/5 in 16, -0.3, 0.4, -5?
-0.3
Which is the closest to -1/3? (a) 4 (b) -0.106 (c) 5
b
What is the closest to 2/5 in 0.3, 2, 14.8, 0.4?
0.4
What is the closest to -4 in 5, 0.2, -3?
-3
What is the nearest to -2.7 in 45, -0.3, 0.2?
-0.3
Which is the closest to 1/3? (a) -3 (b) 1 (c) 0.7 (d) 5
c
Which is the nearest to 0? (a) 0 (b) 23 (c) -2
a
What is the closest to 0.47 in 2, 1, 0?
0
Which is the closest to 1/3? (a) 2/821 (b) 2/11 (c) -1/7 (d) -2/3
b
Which is the closest to 2/11? (a) 0.1 (b) -5/6 (c) 3 (d) -3/5
a
Which is the closest to -3? (a) -5/4 (b) 0.15 (c) -22 (d) -5
a
What is the nearest to 2/9 in 3/7, -3095, -2?
3/7
Which is the closest to 0? (a) -4 (b) 6 (c) 4/9
c
What is the closest to 0.1 in -8, 2/13, 0.5?
2/13
Which is the closest to 2/11? (a) -77 (b) 0.4 (c) 2 (d) -1/3
b
What is the nearest to 1 in -0.63, 0.3, -1/24?
0.3
Which is the nearest to 8? (a) -3/7 (b) -8 (c) -5
a
What is the nearest to 0.1 in 3, 0.04, -5?
0.04
What is the nearest to -2 in 2, 3, 0, 0.14?
0
What is the closest to -15/2 in 0.4, 0.03, -4, 2/7?
-4
Which is the closest to 2? (a) -3 (b) -2 (c) -34.1 (d) 4
d
What is the closest to 0 in -1, 1/3, 0.1, 13?
0.1
What is the closest to -2 in 4, 2/65, -2, 0.2?
-2
Which is the nearest to -0.2? (a) -3/5 (b) -12 (c) 2/11 (d) -1
c
Which is the closest to 1/3? (a) 68 (b) -5 (c) 4
c
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*j - o = 0 for p.
5
Suppose -62*u + 18 = -106. Solve 10 = -2*x + 3*i, 2*x + u*i = -0*i for x.
-2
Let q(o) = -2*o - 4. Let a be q(-4). Suppose -5*g + 28 = f, g = a*f - g - 90. Solve -3*k = s - k - 11, -5*k = s - f for s.
3
Let z be 4/(-5) + (62/(-10) - -10). Solve 2*m = -4, -z*a - 2*m + 4 = -7 for a.
5
Suppose 23*q - 168 = -33*q. Let b be ((-6)/(-4))/(3/8). Solve 15 = -q*u - 5*x - 3, b*x = -u - 13 for u.
-1
Let z = 328 - 324. Solve 5*c - z*y + 1 - 33 = 0, -c - y = -1 for c.
4
Let g = 0 - 0. Let c(n) be the first derivative of n**2/2 + 133. Let i be c(g). Solve 4*u - 4*o - 20 = -0*u, -3*u - 4*o - 13 = i for u.
1
Suppose -3*k - 17 = 4. Let i = k + 14. Let q(l) = l - 5. Let s be q(i). Solve -5*a - 4*r = 6, a + s*r + 6 = -0 for a.
2
Let o(c) = -2*c - 12. Let s be o(-8). Suppose r = s*r + 51. Let d = 17 + r. Solve 4*m + 2*x - 22 = d, -6 = 5*m - x - 16 for m.
3
Suppose 0 = 51*x - 59*x + 24. Solve 5*g + 15 = -f, -9 = 3*g + x for f.
5
Suppose 16*h = 11*h + 25. Suppose -h*b + 8 = -b. Solve 0*t - 33 = -b*t + 5*c, -t + 9 = -c for t.
4
Let w be ((-3)/(-9))/(2/6). Let f(s) = -2*s - 29. Let z be f(-17). Solve l = 3*l, m = z*l + w for m.
1
Suppose 4*h - h = -4*b + 32, h + 1 = b. Solve 12 = 3*n - 4*u, -b*u = 4*n - 0*n - 16 for n.
4
Suppose -4*i - 2*r = -16, -3*i = -r - 2*r - 12. Solve -i = a + 5*j, -j = 4*a - 0 - 3 for a.
1
Let s be (-4)/5*10/(-4). Solve -5*c - s*t + 3*t = -18, c = -4*t + 12 for c.
4
Suppose 0 = 4*g + 5*u - 62, 5*g - 34 = 3*g - 4*u. Solve 2*o = 3*v + g, 3*o + 3*v + 16 = 2*o for o.
-1
Suppose -f + 7 = -9. Let z = 19 - f. Solve -4*u + 2*x - 10 = 0, z*u - 6*x - 10 = -x for u.
-5
Let n(c) = 16*c**2 - 1. Let o be n(1). Let x = 62 + -37. Suppose 2*j - x = -3*j. Solve -2*a - u + 0 = -3, 0 = 2*a + j*u - o for a.
0
Let h(s) = -s + 9. Let k(j) = j - 8. Let d(y) = 5*h(y) + 4*k(y). Let c be d(7). Solve c = 3*a + z, -3*a - a = z - 9 for a.
3
Suppose 2*m - m + 12 = 3*f, -2*f = 2*m. Solve 0 = h + 4*l - 13, -5*h - 2 + f = 4*l for h.
-3
Suppose -1456*i = -1455*i - 9. Solve 4*m + 8 = z - i, -m = -4*z + 8 for m.
-4
Suppose -3*r + 2*q = -16, 0*r + 4*q = -4*r - 12. Suppose b = -r*b + 63. Let p = b - 17. Solve 3*x = -k - k - 2, 0 = x + p for k.
5
Suppose -13 = 4*b - 1. Suppose -5*k + j + 9 + 0 = 0, -2*k - j = 2. Let f = k - b. Solve 0 = -r + f*d - 11, -5*r - d = -2*r - 6 for r.
1
Suppose 4*k = -7 - 1. Let c be (k/(-8) + 0)*-4. Let u = 2 - c. Solve -s - 4 = 4*m + 1, s + u = -2*m for m.
-1
Let t be (-2)/12 + 259/42. Suppose 3*r = 6*r - t. Suppose r*b - 1 - 5 = 0. Solve -3*d - 7 = 5*k, k + 3 = -b*d + 4*d for k.
-2
Suppose 5*r = 4*r + 6. Suppose 3*u = r*u. Suppose u = -k - 3*k. Solve -4*j - 6 = -3*y + 2*y, k = -5*j - 2*y - 14 for j.
-2
Suppose 0 = -0*l - 2*l - 10. Let k be (l - -9) + 1 + -1. Let d = -17 + 22. Solve 3*c = 2*p - 4, -d*p - 1 = -k*c + 3 for p.
-4
Suppose -4*j - 5*g = 130, 3*j - g + 37 = 2*j. Let w = -33 - j. Solve -w*s = 4*u, -4*u - 3*s = -2*s + 4 for u.
-2
Let y(p) = -21*p - 1. Let r be y(-1). Let a be (4/(-6) + 0)/((-3)/9). Suppose -a*l + 15*l = -l. Solve j + 2*j - 12 = -u, -5*j - u + r = l for j.
4
Suppose -49*a - 5*l = -47*a - 52, 4*a = -3*l + 62. Suppose -5*k - n + 22 + 38 = 0, k = n + 12. Solve q + b - 4*b - k = 0, -2*q = b + a for q.
-3
Let a be 1 + 1 - (-12 - -4). Let b be ((-2)/(-10))/(7/35). Let i be b*5/(-3)*-3. Solve -a = -5*u, -5*t + 12 + 3 = -i*u for t.
5
Let c be (7 + -7)/(-8 + 3). Solve 2*v - 2*s + 16 = c, -3*v + 4*s + 15 = 44 for v.
-3
Let n(f) = f + 1. Let r(o) = -8. Let x(d) = -n(d) - r(d). Let v be x(3). Solve 2*j + q - 9 = 0, -6*j + 18 = -4*j + v*q for j.
3
Let n = -40 + 109. Suppose 5*j - n = 1. Suppose -4*q - 2*t = -j, -q - 5*t = -0*q + 1. Solve 0 = -5*y + 3*z + 23, 2*z - 6*z = -q*y + 20 for y.
4
Let d = 3128 - 3126. Solve 0 = m + 4, 2*m + 25 - 17 = d*o for o.
0
Let y(z) = 131*z**3 + z - 2. Let u be y(1). Let g be 8/(-36) - u/(-18). Let b(m) = m**3 - 3*m + 1. Let k be b(2). Solve s = -k*n
|
{
"pile_set_name": "DM Mathematics"
}
|
second derivative of -w**5 + 2*w**4 - 361244*w**3 + 1265538*w.
-20*w**3 + 24*w**2 - 2167464*w
Differentiate -14*k*o - 2297*k*r - k + o*r + 5*o + 9*r + 1325 wrt r.
-2297*k + o + 9
What is the first derivative of a**3*j - 98706*a**3 + 580*a*j**4 wrt j?
a**3 + 2320*a*j**3
Find the first derivative of 217032*p + 744801 wrt p.
217032
What is the second derivative of 3*g**4 - g**3 - 34314*g**2 - 7*g + 4464 wrt g?
36*g**2 - 6*g - 68628
Find the third derivative of 78927*p**5 + 3201*p**2 wrt p.
4735620*p**2
What is the second derivative of 313179*o**3 + 161*o + 41?
1879074*o
Find the second derivative of -3*t**2*w**2*y - 15298*t**2*w*y - 10*t*w*y - 5*t - w**2*y - 20*y wrt t.
-6*w**2*y - 30596*w*y
Find the second derivative of -16475*f**3*v**3 - 4019749*f**3*v - 42*f**2*v**3 wrt v.
-98850*f**3*v - 252*f**2*v
Find the second derivative of 161*t**3 - 438*t**2 - 18739*t.
966*t - 876
Find the third derivative of 2*j**2*o**3 + j**2*o + j**2 + 19957*o**5 - o**2 + 1898*o wrt o.
12*j**2 + 1197420*o**2
Find the first derivative of -6*z**4 - 20*z**3 + 46*z**2 + 2952 wrt z.
-24*z**3 - 60*z**2 + 92*z
Find the third derivative of 42494*g**3 + g**2 - 2*g + 27696 wrt g.
254964
Find the third derivative of -15128*b**4 - 2*b**2 - 5641*b + 2 wrt b.
-363072*b
What is the second derivative of -498621*a**3 - 42221*a - 5 wrt a?
-2991726*a
What is the first derivative of 373208*c + 368817 wrt c?
373208
What is the derivative of 208*u*w - 70*u - 32189*w wrt u?
208*w - 70
Differentiate -2133*w**2 + 15*w - 1232022 with respect to w.
-4266*w + 15
What is the third derivative of 369330*p**5 - p**3 + 543401*p**2 wrt p?
22159800*p**2 - 6
Find the second derivative of -669813*a**2*t**3 - 14066*a*t - 45*t**3 wrt a.
-1339626*t**3
What is the first derivative of -638*k**2*u + k**2*z + 10*k**2 + 91*u*z + 76*z + 1 wrt k?
-1276*k*u + 2*k*z + 20*k
Find the third derivative of 49*a**2*y**3 + 2*a**2*y**2 + 2*a**2 - 1086*a*y**3 + 840*a*y + 3*y**2 + 5 wrt y.
294*a**2 - 6516*a
Differentiate 9*y**2*z**2 - 84972*y**2 - 2*y*z**2 + y - 1777*z**3 with respect to z.
18*y**2*z - 4*y*z - 5331*z**2
What is the derivative of 91291*j**3 - 118394?
273873*j**2
Find the first derivative of -2408*c**2*y**2 + 828454*c**2 - 8*c*y**2 wrt y.
-4816*c**2*y - 16*c*y
What is the third derivative of 2*b**5 - 60256*b**3 - 3411221*b**2 wrt b?
120*b**2 - 361536
Find the third derivative of 36465*n**4 + 51*n**2 - 322*n wrt n.
875160*n
Find the first derivative of 140911*u + 102023 wrt u.
140911
What is the third derivative of -2695*c**6 - c**5 - 12585*c**2 wrt c?
-323400*c**3 - 60*c**2
What is the first derivative of -32*d**2*f**2 + d**2 + 30*d*f + d - 9*f**2 + 22992 wrt f?
-64*d**2*f + 30*d - 18*f
Find the second derivative of -99*d**3*s + 122*d**3 - d - 14*s wrt d.
-594*d*s + 732*d
What is the third derivative of -430613*y**4 + 29*y**2 - 37*y + 19?
-10334712*y
Find the third derivative of 238*m**4 + 56*m**3 + 862*m**2 - 2*m + 3 wrt m.
5712*m + 336
Find the second derivative of 7*m**4 + 3511*m**3 + 8*m**2 + 2*m - 545972 wrt m.
84*m**2 + 21066*m + 16
Find the first derivative of -3*m**2*p**2 - 26104*m**2 + 3786*p**2 - p wrt p.
-6*m**2*p + 7572*p - 1
Differentiate -k**4 + 100*k**3*m - 178*k**2*m + 414*m - 31 wrt k.
-4*k**3 + 300*k**2*m - 356*k*m
Find the first derivative of 45*c**2 - 25074*c - 3690600.
90*c - 25074
Find the third derivative of 8198*h**3*l*v + h**3*l + 2*h**3*v - 41219*h**2*l*v + 3*h**2 + 2*h*l*v wrt h.
49188*l*v + 6*l + 12*v
What is the third derivative of 23*u**5 + 153*u**4 + u**3 + 274053*u**2 + u?
1380*u**2 + 3672*u + 6
What is the second derivative of 525893*t**3 + 354*t + 92 wrt t?
3155358*t
What is the second derivative of -23504*u**4 - 2*u**2 - 2*u + 9457 wrt u?
-282048*u**2 - 4
Differentiate 117557*f**3*k + 52005*f**3 wrt k.
117557*f**3
Find the third derivative of -2*k**4 - 17006*k**3 - 851*k**2 + 9*k.
-48*k - 102036
Find the third derivative of 65759*d**5 + 35*d**2 - 555*d wrt d.
3945540*d**2
Find the second derivative of s**4 + 59966*s**2 + 872*s + 111 wrt s.
12*s**2 + 119932
What is the third derivative of -107996*o**3 + 11*o**2 - 392*o + 2?
-647976
What is the second derivative of -9*g**2*k**4 + g**2*k - 32006*g*k**4 - 145*g*k + 2*g - 1893*k wrt k?
-108*g**2*k**2 - 384072*g*k**2
Find the third derivative of 2*l**4 + 5595*l**3 - 61367*l**2.
48*l + 33570
What is the third derivative of 1223*g*l*p**3 + 2*g*l*p + 56*g*l - g*p**3 - 6*g*p**2 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
= 61?
True
Which is greater: -5/3 or 114?
114
Is 713/2 >= 356?
True
Is 0 bigger than 1/905?
False
Which is greater: -2 or -21/23?
-21/23
Which is smaller: 1 or -46?
-46
Is 3861 at most as big as 3862?
True
Is -1 equal to 19/557?
False
Is -871 >= -870?
False
Which is smaller: 204/151 or 0?
0
Which is smaller: -79 or -78?
-79
Which is bigger: -20/2183 or -1?
-20/2183
Is 23/14 equal to 2?
False
Is 0 at most as big as 1/75?
True
Which is greater: -260 or -259?
-259
Which is smaller: -57 or -59?
-59
Which is bigger: 1/5 or -2/2701?
1/5
Is 70 <= 3?
False
Is 0.7 bigger than -158?
True
Which is smaller: 3083 or 3084?
3083
Which is bigger: 94 or 115?
115
Which is bigger: 2009 or 2008?
2009
Is -71 >= -73?
True
Is -43 greater than -47?
True
Which is smaller: -15983 or -15985?
-15985
Which is greater: -3/11 or 4/9?
4/9
Is 328 equal to 329?
False
Which is smaller: 0.2 or -10.76?
-10.76
Is 1 less than -5/262?
False
Which is greater: -4 or 0.315?
0.315
Which is bigger: 48 or 1/7?
48
Which is bigger: -1 or -9/22?
-9/22
Is -3170 < -6341/2?
False
Which is smaller: -47 or -40?
-47
Is 2/5 < 473?
True
Which is bigger: 6240/11 or 568?
568
Which is bigger: -273 or -252?
-252
Do -618 and -617 have different values?
True
Which is bigger: 139 or 413/3?
139
Which is smaller: 128 or 1669/13?
128
Which is bigger: 2/3 or -1/65?
2/3
Is -537 > -3750/7?
False
Which is bigger: -2 or 41?
41
Which is smaller: 0 or -54/439?
-54/439
Is -244 bigger than -241?
False
Which is smaller: -9 or -130/17?
-9
Which is bigger: -1 or -1/66?
-1/66
Is -11/3331 <= -1?
False
Is -69 smaller than -70?
False
Which is greater: -1/1048 or 0?
0
Is 7/2 < 46?
True
Is -1 at most -4/729?
True
Is 3886 < 3884?
False
Is 0 greater than or equal to -4/9?
True
Which is smaller: 0.2 or 1.34?
0.2
Is 38 > 2?
True
Is 20776 >= 2/5?
True
Is -1 greater than 37/197?
False
Which is greater: -20 or 24?
24
Which is smaller: -2 or -28?
-28
Do 401 and -26 have different values?
True
Which is bigger: -5 or -9?
-5
Is -40/3 at most as big as -0.5?
True
Which is greater: -1171 or 0?
0
Is -264 greater than -310?
True
Which is greater: -1 or -1/670?
-1/670
Which is bigger: -39/37 or -1?
-1
Which is greater: 208 or 216?
216
Which is bigger: 4 or 0.0551?
4
Which is smaller: -70/487 or 0?
-70/487
Which is greater: 51 or 205/4?
205/4
Which is smaller: -2 or 2228?
-2
Which is bigger: 19 or 533?
533
Is 2.2 != 4/143?
True
Are 1 and 1/8330 unequal?
True
Which is bigger: -15 or -3/242?
-3/242
Is 2/73073 greater than -1?
True
Which is smaller: -3183 or -3181?
-3183
Is -314 at least as big as -314?
True
Do 0 and -1330/17 have the same value?
False
Is 0.33 at most -2?
False
Do -1 and -2/397 have the same value?
False
Which is smaller: -1092 or -1093?
-1093
Which is greater: -1/11 or -415?
-1/11
Which is greater: -1/2 or 10130?
10130
Which is smaller: 0 or 2/5251?
0
Are 0.1 and 741 equal?
False
Is -128 < -131?
False
Is -3/5 at least as big as 81?
False
Which is bigger: -488/9 or -53?
-53
Which is smaller: -89/16 or -5?
-89/16
Is 0.073 smaller than -1?
False
Is 459 smaller than 455?
False
Is 1778 equal to 1778?
True
Which is smaller: 62 or -2/9?
-2/9
Is 2 at most 51/100?
False
Which is smaller: 7.9 or -2/3?
-2/3
Are -4 and -7 equal?
False
Which is smaller: -173 or -4010/23?
-4010/23
Which is smaller: 541 or 547?
541
Is 42 bigger than 42?
False
Which is smaller: -1983/11 or -179?
-1983/11
Is 94/13 greater than or equal to 6?
True
Is 1724 equal to 1709?
False
Is -25 smaller than -27?
False
Which is smaller: -1 or 2/123?
-1
Which is smaller: 1 or 16/1045?
16/1045
Which is greater: 9 or 41/5?
9
Is -38 > -41?
True
Are 1 and -1/35312 nonequal?
True
Is -3 greater than -38/9?
True
Which is smaller: -10 or 1?
-10
Which is smaller: 19 or 181/10?
181/10
Which is smaller: 2/50731 or -1?
-1
Are 58 and 58 equal?
True
Is -12.7 bigger than 2?
False
Which is smaller: 75/4 or 18?
18
Do -231 and 9 have the same value?
False
Is -2961 greater than or equal to -2961?
True
Which is greater: -1/7 or -12?
-1/7
Is 958 < -10?
False
Is 2/681 less than 0?
False
Is 1 >= 40/107?
True
Which is smaller: 0 or -3/12376?
-3/12376
Which is bigger: 0 or 0.039?
0.039
Is 0 greater than -33/161?
True
Which is smaller: -3 or -39/19?
-3
Which is smaller: -547 or -0.03?
-547
Which is greater: -4/627 or 1/3?
1/3
Which is smaller: 8/2201 or -1?
-1
Is -20 less than or equal to -281/15?
True
Are -256 and -254 equal?
False
Which is smaller: -24 or -56?
-56
Which is smaller: -5/2 or -4?
-4
Which is smaller: 30/989 or -1?
-1
Are -7 and -15 nonequal?
True
Which is smaller: 3 or -100?
-100
Is -97 greater than or equal to -98?
True
Is -387 less than or equal to -389?
False
Which is greater: -12/61 or 1?
1
Is 2648 less than or equal to -1?
False
Is -49/64 <= 0?
True
Which is smaller: -6736 or -6735?
-6736
Which is greater: -598 or -597?
-597
Which is smaller: 82/99 or 0?
0
Which is bigger: -308 or -307?
-307
Are 6319 and 6319 unequal?
False
Is 0.32 at least as big as -1?
True
Is 48/19 at most as big as 3?
True
Is -
|
{
"pile_set_name": "DM Mathematics"
}
|
umber?
False
Is 894229 prime?
False
Is 131107 composite?
True
Is 36373 a composite number?
False
Is 17159 a composite number?
False
Is 2045437 a prime number?
True
Is 13033 prime?
True
Is 3589 prime?
False
Is 136499 a composite number?
True
Is 4595 composite?
True
Is 514333 prime?
True
Is 445069 prime?
True
Is 134479 a prime number?
False
Is 220043 composite?
True
Is 29497 composite?
True
Is 35729 prime?
True
Is 73067 a prime number?
False
Is 47183 a composite number?
True
Is 841135 a composite number?
True
Is 4219 composite?
False
Is 28451 a prime number?
False
Is 7603 a composite number?
False
Is 1575923 prime?
False
Is 3935 a composite number?
True
Is 10229 composite?
True
Is 2099 a composite number?
False
Is 38029 a prime number?
False
Is 194659 prime?
True
Is 487177 a composite number?
False
Is 18731 composite?
False
Is 1423 a composite number?
False
Is 19631 composite?
True
Is 90767 a prime number?
False
Is 32711 a composite number?
True
Is 11827 a composite number?
False
Is 958159 prime?
True
Is 2369 prime?
False
Is 16673 a prime number?
True
Is 650023 composite?
True
Is 712909 a composite number?
False
Is 176903 a composite number?
False
Is 16273 a composite number?
False
Is 168101 a composite number?
True
Is 83867 composite?
True
Is 30611 composite?
True
Is 363677 a prime number?
True
Is 15727 a composite number?
False
Is 341681 a composite number?
False
Is 109507 a prime number?
True
Is 571057 prime?
False
Is 15571 a composite number?
True
Is 14829 a prime number?
False
Is 949931 a prime number?
True
Is 57157 prime?
False
Is 13807 a composite number?
False
Is 31539 composite?
True
Is 635261 a composite number?
True
Is 13453 a composite number?
True
Is 22343 a composite number?
False
Is 846217 composite?
False
Is 639073 a composite number?
True
Is 272837 a prime number?
False
Is 677147 a prime number?
True
Is 21923 a composite number?
True
Is 2556409 composite?
True
Is 689057 prime?
False
Is 1434011 a prime number?
True
Is 57463 a prime number?
False
Is 46229 a composite number?
False
Is 48283 prime?
False
Is 66919 prime?
True
Is 57185 a prime number?
False
Is 5603 composite?
True
Is 217023 composite?
True
Is 914117 composite?
False
Is 1456465 prime?
False
Is 17665 a prime number?
False
Is 591053 a prime number?
True
Is 124819 a composite number?
False
Is 17311 prime?
False
Is 15229 prime?
False
Is 96307 prime?
False
Is 3101819 prime?
False
Is 5897 prime?
True
Is 775777 a prime number?
True
Is 584293 a composite number?
True
Is 14701 prime?
False
Is 9913 composite?
True
Is 183761 composite?
False
Is 21709 a prime number?
False
Is 623 composite?
True
Is 8147 a prime number?
True
Is 3991 composite?
True
Is 893999 a composite number?
False
Is 32135 a prime number?
False
Is 1841 a prime number?
False
Is 1085047 prime?
True
Is 484591 a prime number?
False
Is 143387 prime?
True
Is 104243 a composite number?
False
Is 52123 a prime number?
False
Is 149749 composite?
False
Is 68567 a composite number?
False
Is 10397 prime?
False
Is 151471 a prime number?
True
Is 15253 prime?
False
Is 1137314 prime?
False
Is 304301 composite?
False
Is 17211 a composite number?
True
Is 152965 prime?
False
Is 73651 a prime number?
True
Is 14689 a prime number?
False
Is 698063 composite?
True
Is 2077 a prime number?
False
Is 160309 prime?
True
Is 14221 a prime number?
True
Is 2289901 a composite number?
False
Is 535057 a composite number?
True
Is 17943 prime?
False
Is 2533 a prime number?
False
Is 96955 prime?
False
Is 15947 composite?
True
Is 515951 prime?
True
Is 120283 prime?
True
Is 191039 a composite number?
False
Is 7121 prime?
True
Is 4481 a composite number?
False
Is 46619 a prime number?
True
Is 23929 a prime number?
True
Is 382 composite?
True
Is 309521 composite?
False
Is 19094 a prime number?
False
Is 8545 composite?
True
Is 4413 composite?
True
Is 3221 a composite number?
False
Is 508259 a prime number?
True
Is 8353 composite?
False
Is 14261 a composite number?
True
Is 22199 a composite number?
True
Is 4861 prime?
True
Is 2522551 a composite number?
True
Is 323 composite?
True
Is 65551 a composite number?
False
Is 30427 a composite number?
False
Is 934919 composite?
False
Is 8219 prime?
True
Is 26907 a composite number?
True
Is 5713 composite?
True
Is 9527 a composite number?
True
Is 222773 a composite number?
False
Is 81537 prime?
False
Is 5623 a composite number?
False
Is 113507 prime?
False
Is 2512019 prime?
True
Is 5189 a composite number?
False
Is 845231 prime?
True
Is 24131 a composite number?
True
Is 10729 prime?
True
Is 10643 a prime number?
False
Is 15299 composite?
False
Is 15319 a prime number?
True
Is 7907 a prime number?
True
Is 136559 prime?
True
Is 551281 a prime number?
True
Is 299857 a composite number?
False
Is 8221 composite?
False
Is 971309 a composite number?
False
Is 51283 a prime number?
True
Is 42881 prime?
False
Is 366677 a composite number?
False
Is 26449 a prime number?
True
Is 110963 a prime number?
False
Is 7993 a composite number?
False
Is 308027 prime?
True
Is 887191 prime?
True
Is 465701 composite?
False
Is 1949 a prime number?
True
Is 5501 a composite number?
False
Is 163307 a prime number?
True
Is 1185617 a composite number?
False
Is 8727 composite?
True
Is 3041933 prime?
True
Is 29461 a composite number?
True
Is 83497 a composite number?
False
Is 39617 prime?
False
Is 151819 composite?
True
Is 539969 prime?
False
Is 50747 a prime number?
False
Is 354209 a composite number?
False
Is 3604067 a composite number?
False
Is 238859 composite?
False
Is 135253 composite?
True
Is 62207 a composite number?
False
Is 3107 a composite number?
True
Is 3086 a prime number?
False
Is 157 a prime number?
True
Is 24014 a prime number?
False
Is 868369 prime?
True
Is 295898 prime?
False
Is 397 a composite number?
False
Is 1145513 a prime number?
False
Is 226601 a prime number?
True
Is 23578 a prime number?
False
Is 1979039 a composite number?
False
Is 277307 composite?
True
Is 9521 a prime number?
True
Is 2759 composite?
True
Is 33295 prime?
False
Is 1205029 prime?
False
Is 14923 prime?
True
Is 769913 a prime number?
False
Is 26083 a prime number?
True
Is 17093 a prime number?
True
Is 7919 a composite number?
False
Is 271079 a composite number?
False
Is 900751 a composite number?
False
Is 7899 a prime number?
False
Is 352181 composite
|
{
"pile_set_name": "DM Mathematics"
}
|
f 1 and h?
1
Let x = 0 + 1. Let q = 5 - x. Suppose -q*i + 24 = -12. What is the greatest common factor of 36 and i?
9
Let m(y) = 8*y**2 + 2*y - 1. Let j = -9 + 10. Let r be m(j). What is the greatest common factor of 99 and r?
9
Suppose 3*u = 2*c + 59, -2*c = 2*u - 25 - 1. Let v = u + -9. Let a = 24 - 12. What is the greatest common divisor of v and a?
4
Suppose 3*v + 77 = 2*s - 3, 2*s - 2*v = 80. Suppose 0 = 3*i + 13 + 5. Let m be (2 - i)*(0 - -1). Calculate the highest common divisor of s and m.
8
Let d = 14 + -11. What is the highest common factor of 15 and d?
3
Let g be -4 + (-1 - (1 + -11)). Calculate the greatest common factor of 40 and g.
5
Suppose 3 + 0 = u. Let b(x) = x**3 - x**2 - x - 2. Let m be b(2). Let d be m/2 + 0 + 21. What is the greatest common divisor of d and u?
3
Let w = -6 - -10. Suppose -4*t = w*h - 2 - 14, -2*t = -4. Let r = h + 8. What is the greatest common divisor of r and 25?
5
Let z be ((-80)/(-70))/(4/14). Suppose 0 = -p - 3*r - 2*r - 23, 5*p - 4*r = 30. What is the highest common factor of p and z?
2
Suppose i - k = 3*i + 38, -3*k = -i - 5. Let o = -15 - i. Suppose -5*y = -14 - 16. Calculate the highest common divisor of o and y.
2
Let g(v) = 4*v - 7. Let k be g(5). Let a(m) = 14*m - 65. Let r be a(13). Calculate the highest common factor of k and r.
13
Let p(n) = -5*n - 2. Let z be (-26)/4 + (-1)/2. Let h be p(z). Let u = -22 + h. What is the highest common factor of u and 1?
1
Let j be ((-20)/(-6))/((-8)/(-12)). Calculate the highest common factor of 15 and j.
5
Let c(s) = 6*s - 7. Let z be c(5). Let a = 32 - z. Suppose -2*d + 60 = -102. What is the greatest common divisor of a and d?
9
Let w(j) = -5*j - 3. Let b be w(-6). What is the greatest common divisor of 3 and b?
3
Let c be (2/(-3)*690/(-20))/1. What is the highest common divisor of c and 115?
23
Let w be (-4)/10*5*-1. Suppose -4*n = 3*a + 14, -n - 1 = 4. Calculate the highest common divisor of a and w.
2
Suppose 39 = -5*p + 8*p. Calculate the greatest common divisor of 39 and p.
13
Let d(j) = 3*j**2 - 1. Let x be d(1). Suppose x*u + 16 = -5*n, -4*n + 3*n = 4. What is the greatest common divisor of 16 and u?
2
Let v = 2 - 0. Suppose 0 = -v*w + k + 77, -w + 3*w + 4*k = 52. Suppose 3*z + 0*z = w. What is the greatest common factor of z and 60?
12
Let g(z) = 2*z - 2*z - 5*z - 2*z - z**2. Let m be g(-6). What is the highest common divisor of 30 and m?
6
Let c(n) = n**3 - 5*n**2 + n + 6. Let i be c(5). Calculate the greatest common factor of 88 and i.
11
Let y(i) = i + 2 + 0*i + 12*i**2 + 1. Let d be y(-3). Suppose 3*x + 0*x = 36. Calculate the greatest common divisor of x and d.
12
Let q = -3 + 6. Suppose 3*d + 15 = 0, -2*j + 4*d = q*j - 165. Let h = 71 + j. What is the highest common divisor of h and 10?
10
Suppose 0 = -3*x - x. Suppose -5*l + 4*m = -76, l - 17 = -x*m - m. Calculate the highest common divisor of l and 112.
16
Let u(s) = -2*s + 1. Let k be u(-6). Let d = -9 + k. Let o be (-2)/(-9) + 104/18. Calculate the highest common factor of o and d.
2
Let l(p) = p**3 + 39. Let u be l(0). Suppose -5*o = -2*o - 78. Calculate the highest common divisor of o and u.
13
Let p be (-2)/(-2) - 0 - 0. Let n be 6/30 - 4/(-5). What is the greatest common divisor of p and n?
1
Suppose y = 3*y + 8. Let s = 9 + y. Calculate the highest common divisor of s and 1.
1
Let k = 4 + 7. Suppose 219 = 2*i + 65. Calculate the greatest common factor of k and i.
11
Suppose 3*n = l + l - 16, -4*n - 24 = -3*l. Let i = -16 - -28. What is the greatest common divisor of l and i?
4
Let x = 3 + -4. Let r = x + 2. Calculate the highest common divisor of 5 and r.
1
Let i be 38/14 + 2/7. Let j be 1 + 5*-1*-1. Let p be 40/j + (-6)/9. What is the highest common factor of i and p?
3
Let o = -1 - -4. Let m = -2 + 3. Calculate the greatest common factor of m and o.
1
Suppose -5*v + 7 = 2. Let n be 46*(v - 2/4). Let i = n + -16. Calculate the greatest common divisor of 77 and i.
7
Suppose -6*y + 12 = -3*y + 2*b, -y = 5*b + 9. Let x(c) = -c + 13. Let h be x(y). Let o = 113 + -92. What is the greatest common divisor of o and h?
7
Let g(f) = -15*f + 4. Let j be g(-3). Suppose 7*l - 81 = 4*l. Let m = j - l. Calculate the highest common factor of m and 2.
2
Suppose 3*f - 175 = -2*f. Let d(b) = b**3 - 4*b**2 + 5*b - 4. Let v be d(3). Suppose p - 3 = v. What is the greatest common divisor of p and f?
5
Let y be 4/14 + 96/7. Let g = 891 + -889. What is the greatest common divisor of y and g?
2
Suppose 127 = 5*r - 123. Let c be (-30)/12*8*-1. Calculate the greatest common divisor of c and r.
10
Let o(l) = -l**2 + 2*l + 4. Let f be o(3). Let m(g) = 11*g**2 - 1. Let a be m(1). Suppose 2*i + 0*i = a. What is the greatest common divisor of f and i?
1
Suppose -2*l + 7 = -29. Let b be -2 + 1 - (3 + -8). Suppose 0 = k - b - 41. Calculate the highest common factor of l and k.
9
Let r = 1 + -1. Suppose -4*u + 3 + 117 = r. What is the greatest common factor of u and 10?
10
Let o = -1 + 3. Let p(k) = -5*k + 0*k + k**o - 5 - k + k**2. Let s be p(5). Calculate the greatest common divisor of 60 and s.
15
Suppose 0 = -2*l + 3*f + 43 - 15, l = -5*f - 12. Let u be (6 - -2)*54/l. Let p(v) = v**2 + 6. Let o be p(0). Calculate the greatest common divisor of u and o.
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*k + 2*k - k).
600*k
Expand (3 - 3 + y)*(-13*y**3 + 14*y**3 - 13*y**3)*(496 - 102 + 546).
-11280*y**4
Expand (-4*z - 2*z - 7*z)*(0 - 2 + 4 + (1 + 0 + 1 + (1 - 4 - 2)*(4 + 0 - 5))*(-3 + 6 - 2)).
-117*z
Expand (-104860*l**2 + 104860*l**2 - 570*l**4)*(0*l + l - 4*l).
1710*l**5
Expand (2294294 - 2294294 - 8389*b)*(3*b - 5*b + 4*b).
-16778*b**2
Expand (3*l + 3*l - 4*l)*(-12 + 6 + 12)*(2 + 4 - 5) + 2*l + 21075 + l - 21055.
15*l + 20
Expand 218*p**4 - 451*p**4 - 498*p**4 + (3*p**2 - 2*p**2 + 3*p**2)*(-2*p - p**2 + 2*p).
-735*p**4
Expand f**3 - 3*f**3 - 2*f**3 + 121*f**3 + 584*f**2 - 584*f**2 + (f**3 - f**3 + 2*f**3)*(-2 + 5 + 0) + (2*f**2 - 5*f**2 + 2*f**2)*(f - 3*f + 3*f).
122*f**3
Expand (-3 + 4 + 2)*(4*j - 1 + 1) - 4*j + 2*j - 2*j + j + 0*j + 0*j + 0 + 0 + 2*j + (-2 + 2 + 1)*(-2*j + j + 2*j) + (-1 - 1 + 5)*(0 + 4 - 3)*(-2 + 2 + 4*j).
24*j
Expand (3*a - 3*a + a)*(-6 + 3 + 5)*(52 - 14 + 44)*(-3 - 12 - 5).
-3280*a
Expand (26 - 13*x - 13 - 13)*(-543 + 300 + 279).
-468*x
Expand (0 + 4 - 3)*(64 + 37 + 39 - 110)*(66 - 30*o**3 - 66).
-900*o**3
Expand (94*i - 238*i - 334*i + (i + 0*i + 0*i)*(4 - 2 - 3))*(3 + 2 - 7).
958*i
Expand 72*z - 89*z - z**2 + 3*z**2 + (-2*z + z + 0*z)*(-13*z + 6*z + 3*z).
6*z**2 - 17*z
Expand -r**5 - r + r + (-r**2 - 39*r**2 - 18*r**2)*(5*r - 2*r**3 - 5*r) - r**5 + r - r + (2*r**2 + 3*r - 3*r)*(10*r**3 + 0*r**3 + r**3).
136*r**5
Expand (-2*r - 3*r + 2*r + (-14 + 12 - 8)*(0*r + 0*r + 2*r))*((5*r + 4*r + 5*r)*(1 - 2 + 3) + (3 - 3 - 1)*(2*r - 4 + 4) - 2*r - r + 4*r).
-621*r**2
Expand (y - 21*y + 11*y)*(-223 + 5*y + 223 + (-2*y - 2*y + 5*y)*(3 + 1 - 5)).
-36*y**2
Expand (-28 + 47 + 28)*(-2*b**2 - 12*b**4 + 41*b**4 + 3*b**2).
1363*b**4 + 47*b**2
Expand -2*d**3 + d - d + ((2 + 2*d - 2)*(1 + 6 - 2) - 23*d + 12*d - 12*d)*(7*d**2 + 14*d**2 + 3*d**2).
-314*d**3
Expand (-8 - 12 - 4)*(-19*m - 117 + 117)*((4 - 1 - 5)*(0 + 2 + 3) + 2 - 2 - 1).
-5016*m
Expand c**4 + 6*c**4 + c**4 + 6*c**4 - 4*c**4 + 2*c**4 - 7*c**4 + 79*c**3 - 79*c**3 + (-c**2 + 3*c**2 - 3*c**2)*(-3*c + 3*c - c**2).
6*c**4
Expand (1682 - 830 - 718 + j**3)*(0 + 7 + 9 + 3).
19*j**3 + 2546
Expand (-37*s**2 + s**3 + 22*s**2 + 2*s**2)*(0*s + s + 0*s + 3*s - 7*s - 3*s + (-1 - 4 + 4)*(s + 0*s - 2*s)).
-5*s**4 + 65*s**3
Expand (2*c**4 + 7*c - 7*c)*(-769*c - 460*c + 109*c - 35*c - 87*c).
-2484*c**5
Expand (32 - 28 - 99)*(-3 - 5*r**3 + 3) - 11*r**3 + 3*r**2 - 3*r**2 + 2*r**3 - 6*r**3 + 2*r**3 + (-r**2 + 0*r**2 + 0*r**2)*(-r - 3*r + 3*r).
463*r**3
Expand z**3 + 3*z - 3*z + (-3*z + 0 + 0)*(-8*z**2 - 8*z**2 + 6*z**2) - 3*z**3 - 4*z**3 - 3*z**3.
21*z**3
Expand (3*s - 3*s + s)*(0*s**3 + 0*s**3 - 2*s**4 - 1 + 1 - s**4 + (-s - s + 3*s)*(-s**3 - 3*s**3 + 3*s**3)) + 846*s**5 + 4182*s**5 - 2005*s**5.
3019*s**5
Expand (x - 1 + 1)*(2 + 7 + 15)*(191*x**2 - 390*x**2 + 198*x**2 - 48*x).
-24*x**3 - 1152*x**2
Expand (2*s**4 - 2*s**4 + 2*s**4)*(5 + 2 - 21)*(-60*s + 330*s + 143*s).
-11564*s**5
Expand (2060 - 46*u - 2060)*(1 + 4 - 4) + (1 + 1 + 0)*(-u - 4*u + 0*u).
-56*u
Expand (6067 + 638*v - 85*v - 6069)*(21 - 21 - 7*v).
-3871*v**2 + 14*v
Expand (-498*g + 73512 - 2402*g - 73512 - 1017*g)*(0*g + 3*g + 0*g)*(-4 + 0 + 6).
-23502*g**2
Expand (-5472*m**2 + 867*m**2 - 4856*m**2)*(0*m + 2*m - m)*(-1 + 1 + 2).
-18922*m**3
Expand (1 - 1 - 2*x**2)*(6*x**2 + 0*x**2 - 4*x**2) - 22 + 22 - 35*x**4 - 207*x**4 + 201*x**4 + 8 - 1.
-45*x**4 + 7
Expand (-175*r + 66*r + 55*r)*(-1 + 2 + 0) + 5*r - 3*r - r + (-r + 2*r + 0*r)*(0 + 5 - 3) + r + 2*r - r - 12*r - 2 + 15*r - 12*r.
-58*r - 2
Expand (32*a + 6*a**2 - 32*a)*(5 + 0 - 4) + (-a - 4 + 4)*(2113*a - 815*a - 945*a) - 4*a**2 + 6*a**2 - 3*a**2.
-348*a**2
Expand (3 + 2*v - 3)*(-3 + 4 - 3)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
10 (base 2) to base 16
-8106
What is -3313 (base 4) in base 13?
-160
What is -577 (base 10) in base 2?
-1001000001
1843 (base 12) to base 10
2931
What is 2817 (base 11) in base 10?
3648
Convert 1100000010 (base 2) to base 7.
2150
What is -11b (base 14) in base 13?
-140
1e78 (base 15) to base 6
50422
-83 (base 15) to base 8
-173
3402 (base 5) to base 8
735
Convert -1334d (base 14) to base 6.
-1003001
What is 21342 (base 5) in base 13?
893
What is -5774 (base 11) in base 6?
-55035
86d (base 16) to base 6
13553
Convert -10011001 (base 2) to base 16.
-99
7517 (base 8) to base 5
111134
What is 3c (base 16) in base 4?
330
-26674 (base 10) to base 15
-7d84
Convert -10100011100 (base 2) to base 13.
-798
Convert 1de (base 16) to base 10.
478
5532 (base 6) to base 14
676
-2327 (base 10) to base 8
-4427
Convert 31113 (base 4) to base 2.
1101010111
Convert -200102 (base 4) to base 3.
-2211112
What is 100 (base 6) in base 5?
121
What is -104 (base 14) in base 16?
-c8
32116 (base 8) to base 2
11010001001110
6431 (base 7) to base 4
203210
-320301 (base 5) to base 3
-112200100
37b4 (base 12) to base 8
14270
Convert 1101101001011010 (base 2) to base 13.
1c59b
What is 162 (base 9) in base 4?
2021
Convert 1202003 (base 6) to base 8.
172263
What is -15166 (base 7) in base 16?
-1075
What is -a53c (base 13) in base 16?
-5952
What is 2b9 (base 15) in base 3?
212010
6b8e (base 16) to base 10
27534
14034 (base 5) to base 4
101320
26a7 (base 12) to base 9
6081
-3007 (base 9) to base 11
-1715
What is -1357 (base 8) in base 4?
-23233
What is 12b6 (base 12) in base 4?
201222
What is 4242 (base 5) in base 9?
705
2536 (base 7) to base 11
7a1
-1a7 (base 15) to base 5
-3012
Convert -b91 (base 16) to base 3.
-11001200
Convert 210111 (base 3) to base 5.
4310
What is 1565 (base 7) in base 11?
528
224120 (base 5) to base 4
1331203
Convert 8319 (base 13) to base 3.
220211120
What is 560 (base 9) in base 7?
1224
What is 4518 (base 11) in base 4?
1130330
Convert 66206 (base 7) to base 5.
1012233
30221 (base 5) to base 16
790
c333 (base 13) to base 12
136a9
Convert 12132 (base 4) to base 9.
510
Convert -281 (base 13) to base 14.
-239
What is 1973 (base 14) in base 6?
33201
What is 1172 (base 9) in base 15?
3d5
58 (base 13) to base 7
133
What is 1840 (base 9) in base 14?
72d
Convert -32300 (base 4) to base 14.
-4b6
Convert 60164 (base 8) to base 15.
74b2
1 (base 4) to base 13
1
Convert -10987 (base 14) to base 2.
-1001110101101011
What is -211222011 (base 3) in base 2?
-100000101101000
Convert 277 (base 14) to base 3.
200102
Convert -969 (base 13) to base 3.
-2012120
9064 (base 11) to base 16
2f11
197aa (base 11) to base 12
13b6b
Convert -202122 (base 3) to base 4.
-20231
-2312333 (base 4) to base 16
-2dbf
What is 112 (base 8) in base 4?
1022
Convert -435 (base 7) to base 4.
-3132
What is 20321 (base 7) in base 4?
1031210
What is -66c (base 13) in base 12?
-780
What is 1000101111110 (base 2) in base 14?
18bc
-7173 (base 8) to base 2
-111001111011
1737a (base 14) to base 12
29900
182 (base 16) to base 12
282
20210212 (base 3) to base 5
124324
2313022 (base 4) to base 12
694a
1013 (base 10) to base 2
1111110101
What is 1000011011111001 (base 2) in base 13?
1295c
What is 12022 (base 4) in base 8?
612
113305 (base 7) to base 9
30864
-257b (base 13) to base 5
-132331
92da (base 15) to base 10
31030
-144452 (base 6) to base 16
-36b0
Convert 33121 (base 4) to base 5.
12420
-201010222 (base 3) to base 9
-21128
Convert -250 (base 9) to base 2.
-11001111
5d1 (base 15) to base 8
2451
Convert -134113 (base 6) to base 10.
-12573
-2220420 (base 5) to base 7
-221203
Convert -338 (base 16) to base 6.
-3452
What is -25483 (base 9) in base 3?
-212112210
Convert -2108 (base 9) to base 3.
-2010022
Convert 20124 (base 10) to base 13.
9210
Convert 13201 (base 4) to base 13.
2b0
Convert 148b (base 15) to base 6.
32222
What is 28837 (base 9) in base 13?
8c26
What is -11000122 (base 3) in base 7?
-11360
-1101101011101 (base 2) to base 15
-2120
What is -12251 (base 10) in base 13?
-5765
40a (base 11) to base 9
608
3b30 (base 12) to base 4
1222110
-11102310 (base 4) to base 7
-120135
Convert 30311 (base 4) to base 2.
1100110101
1201101 (base 3) to base 12
884
543 (base 7) to base 16
114
-231014 (base 5) to base 4
-2001003
Convert 313355 (base 6) to base 10.
25415
Convert -b8b (base 14) to base 12.
-139b
1011010101 (base 2) to base 6
3205
Convert -90d (base 15) to base 16.
-7f6
What is 4d9 (base 15) in base 7?
3135
What is 322641 (base 7) in base 10?
56232
What is 980 (base 12) in base 16?
570
888 (base 12) to base 10
1256
11ade (base 15) to base 10
56459
Convert -15633 (base 12) to base 9.
-45473
What is -9a3 (base 15) in base 7?
-6231
What is 11001 (base 2) in base 4?
121
-122014 (base 6) to base 4
-2220322
What is 20a (base 14) in base 3?
112220
Convert -121332 (base 4) to base 10.
-1662
-c0b (base 15) to base 13
-1307
What is -220b (base 14) in base 9?
-8065
-5350 (base 14) to base 13
-6710
Convert 17892 (base 12) to base 10.
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second smallest value? (a) z (b) 3 (c) -1
a
Let h = 78 + -76. Which is the third biggest value? (a) -1 (b) -1/4 (c) h (d) 5
b
Let q be (2*-96019)/2 + -1. Let z = q + 9508166/99. Let n = z - 238/11. Which is the second biggest value? (a) n (b) -2/9 (c) -1/4
b
Let l = -140/153 - -8/17. What is the second smallest value in 4, 0.9, l, 0.4?
0.4
Suppose 8 = q - 3*q - 3*g, -4*q - 16 = 4*g. Let n(z) = -z**3 - 7*z**2 - 10*z - 8. Let v be n(-6). Which is the second smallest value? (a) q (b) 1/2 (c) v
b
Let n = -82.8 + 83. Let k = 1 + -5. What is the smallest value in -2, k, n?
k
Let t = -4 - -6. Let b = 0.38 + -0.08. Let k = b - 0.4. What is the biggest value in 0.3, t, k?
t
Let z be 2*(-5)/(18 - 3). Which is the smallest value? (a) -0.3 (b) z (c) 0.3
b
Let m = 4.1 + -4. Let u = -0.2 - -0.3. Let q = u + m. What is the smallest value in q, -1/5, 0.3?
-1/5
Let d be 2/(-3) - 164339/483. Let y = d + 341. What is the second biggest value in -4/7, y, 0?
0
Let w = -0.01 + 0.05. Let v = 2.96 + w. Let d be 2/(-9) + 68/(-18). What is the third smallest value in v, d, -0.5?
v
Let a = 4.5 + -5. Let w = -1.6 + -0.4. What is the biggest value in w, a, -5?
a
Let y = 135 - 132. What is the smallest value in 4/3, 0.08, 4, y?
0.08
Let m = 2 + -1.9. Let p be 248/6 - (5 - 3). Let q = -40 + p. What is the second biggest value in m, q, 0.4?
m
Let z = -27 - -32. Suppose -t + 3 = z. Which is the smallest value? (a) 2 (b) t (c) -1.6
b
Let p(v) = v**3 - v**2 + v. Let s be p(0). Which is the third biggest value? (a) 4 (b) s (c) -2
c
Let z = 12 - 11.8. Let c = 0.4 + -5.4. Suppose -8*u + 3*u = -5*i + 30, 0 = 3*i + 5*u + 14. What is the third smallest value in i, z, c?
i
Let l = -3.4 - -0.4. Let t = 10.7 - 11. What is the second smallest value in 0.4, l, t?
t
Let d = -74 - -74.1. What is the fourth biggest value in 15, 3/5, -0.2, d?
-0.2
Let h = 14.02 + -14. Let o = h + -2.02. What is the second biggest value in 4/7, o, -1/5?
-1/5
Let v = -19 - -19. What is the biggest value in v, 0.2, 1?
1
Let i = 49 - 48.96. Let u = 2 - 1. Which is the second biggest value? (a) i (b) -0.2 (c) u
a
Let q = 0.149 + -3.089. Let n = 0.06 - q. What is the biggest value in n, 0.5, -1?
n
Let h = 0.5 + 0. Let l = 0.6 + -0.2. Which is the third biggest value? (a) -1/10 (b) h (c) l
a
Let d = -4.55 + -0.45. Which is the third smallest value? (a) 0 (b) -1/3 (c) d
a
Suppose -2*q + 0*q + 5 = 3*n, -n = 4*q + 15. Which is the third smallest value? (a) -2/9 (b) -0.4 (c) q
a
Let l = -0.91 + 0.11. Let v = -0.4 - l. Let w = -0.7 + v. Which is the third biggest value? (a) -2/9 (b) 0 (c) w
c
Let w = 1.9 + -2.1. Let y be (-1 + 2)/(-3 + 7). Which is the third biggest value? (a) y (b) w (c) 2/11
b
Let w = -2.99 + -0.01. Let i be 1/(-3 + 39/12). Which is the second biggest value? (a) -5 (b) w (c) i
b
Let n(u) = u**3 - 9*u**2 + 9*u - 3. Let p be n(8). Suppose -p = 5*m, 2*v + 3*m = v - 7. Suppose 1 = 3*h - 2. What is the second biggest value in h, -5, v?
v
Let w = -0.07 + 4.07. Let p = -4.4 + w. What is the biggest value in p, 0.3, 1?
1
Let t = 24/19 - 148/57. Which is the third biggest value? (a) t (b) -3/2 (c) -3
c
Let r be 0/(1 - 3)*-1. Let p be r + (-3)/2 + 1. What is the smallest value in 0.3, -4, p?
-4
Let c = 0.3 - 0.2. What is the third smallest value in c, 1, -1/6?
1
Let j be (0 + -3)*(-50)/(-225). What is the third smallest value in 4, 3, -4, j?
3
Let g = 0.66 + -0.86. Which is the biggest value? (a) g (b) 11 (c) -3/7
b
Let i = -28 - -17. What is the biggest value in 0.1, i, 1?
1
Let d(q) = 26*q - 6 - q**2 - 11*q - 7*q. Let k be d(7). Let r = -6 - -3. What is the smallest value in r, k, -1?
r
Let d = -0.1 - -0.2. Suppose 0 = -l - 33 + 165. Let z be 143/l - 4/3. Which is the second biggest value? (a) d (b) 0.3 (c) z
a
Let j(r) = r**2 + r. Let m be j(1). Let z be (-1)/(m/(-2))*0. Let n = -6 + 10. Which is the smallest value? (a) z (b) n (c) -4
c
Let w = 0.2 - 0.5. Let d = -0.4 - w. Let x = -1.2 + 0.2. Which is the smallest value? (a) 4 (b) x (c) d
b
Let o(v) = -2*v**2 - 10*v + 0*v**3 - 1 + 8*v - v**3. Let y be o(-2). Which is the second biggest value? (a) y (b) -0.2 (c) -4
b
Let v = -1279/6 - -527/2. Let q = v - 49. Which is the biggest value? (a) q (b) -2 (c) -3
a
Suppose 2*b = -4*i - 4 + 2, 4*i = 4*b - 20. Let v = -0.94 + -0.06. What is the second smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
2, -11, -2
Sort 806, -5, -21, 5, 0 in increasing order.
-21, -5, 0, 5, 806
Sort 5, -163/5, 0.02, -0.04, 1.
-163/5, -0.04, 0.02, 1, 5
Put 4, -2, -67, 1, 21 in descending order.
21, 4, 1, -2, -67
Put 4, 0.241, -13/9, 0.1 in increasing order.
-13/9, 0.1, 0.241, 4
Sort 397486, -5, 2/9.
-5, 2/9, 397486
Sort -61, -7, 0, -16.
-61, -16, -7, 0
Put -37, 22, 2, -1 in ascending order.
-37, -1, 2, 22
Put -19, -1, -2, 0 in ascending order.
-19, -2, -1, 0
Sort -6427, 2, 4 in decreasing order.
4, 2, -6427
Sort 5, 0, -299, -3, -1 in ascending order.
-299, -3, -1, 0, 5
Sort -33, 1, -123 in ascending order.
-123, -33, 1
Put 0.5, 9, -2/15, 5/6, 0.06479 in ascending order.
-2/15, 0.06479, 0.5, 5/6, 9
Sort -20, -1, -30, -27, -4 in descending order.
-1, -4, -20, -27, -30
Put 2, -1, 4, -16, -6, 42 in increasing order.
-16, -6, -1, 2, 4, 42
Put 3, -5, 9, -4, -22 in decreasing order.
9, 3, -4, -5, -22
Put 4/13, 0.3, 4/3, -0.17, 1/3 in increasing order.
-0.17, 0.3, 4/13, 1/3, 4/3
Put -2/13, 414, -8/7, -16.2 in decreasing order.
414, -2/13, -8/7, -16.2
Sort -4, -2, 3, 84, -3.
-4, -3, -2, 3, 84
Sort -5, -11.8, -36, 3/4, 4/5 in decreasing order.
4/5, 3/4, -5, -11.8, -36
Put 364, 9, -4 in increasing order.
-4, 9, 364
Sort -242, -677, -4 in descending order.
-4, -242, -677
Put 0, -10.07, 19 in increasing order.
-10.07, 0, 19
Sort 5, -1/7, 0, -11.3, 2, 0.2.
-11.3, -1/7, 0, 0.2, 2, 5
Sort -24, -0.7, -42/13 in increasing order.
-24, -42/13, -0.7
Sort -0.5, 0.58, 5 in decreasing order.
5, 0.58, -0.5
Sort 5, -2, -0.3, -2/13, 30/29 in decreasing order.
5, 30/29, -2/13, -0.3, -2
Sort -6, 36, 0, -618 in descending order.
36, 0, -6, -618
Put 63.2, 3/4, 1/12, -5, 2/19 in descending order.
63.2, 3/4, 2/19, 1/12, -5
Sort 98, 0, -1, -36.
-36, -1, 0, 98
Sort 58/7, -4, 1/9, -0.03 in decreasing order.
58/7, 1/9, -0.03, -4
Sort -5, 21, 1, 53, -3, 0.
-5, -3, 0, 1, 21, 53
Sort 365, 5, 41 in increasing order.
5, 41, 365
Sort 1, 0.5, -4/5, -8, -0.1, 636 in descending order.
636, 1, 0.5, -0.1, -4/5, -8
Put -6, 33, 4, -3, -4 in decreasing order.
33, 4, -3, -4, -6
Sort 0, 2, 5, 69, -3, -68 in decreasing order.
69, 5, 2, 0, -3, -68
Sort 0.4, -5, 12, 106, 2/17 in decreasing order.
106, 12, 0.4, 2/17, -5
Sort -5/3, -5.4, -13 in descending order.
-5/3, -5.4, -13
Sort 5, 0, 130, 162.
0, 5, 130, 162
Sort -162, -23, 3 in descending order.
3, -23, -162
Put 0, -0.8, 2, -3/5, 1/310, -2 in ascending order.
-2, -0.8, -3/5, 0, 1/310, 2
Put -6, -16, 353, -4, 0 in descending order.
353, 0, -4, -6, -16
Sort 44342, 4, -2, 13, 0, -1 in descending order.
44342, 13, 4, 0, -1, -2
Sort 3, -12, 5, 2, -714.
-714, -12, 2, 3, 5
Sort 2, 0, -4, -305, 7, 5 in decreasing order.
7, 5, 2, 0, -4, -305
Sort -2/7, 7, 5/2, -110, -10/7, 0.4 in ascending order.
-110, -10/7, -2/7, 0.4, 5/2, 7
Sort -1, 96209, 8, -4 in descending order.
96209, 8, -1, -4
Sort -0.1, -0.5, -0.03, -3/7, 256 in decreasing order.
256, -0.03, -0.1, -3/7, -0.5
Sort 6, 3, 5, -5011, 2.
-5011, 2, 3, 5, 6
Sort 23, -2/7, 1/4, -6/17, -5.
-5, -6/17, -2/7, 1/4, 23
Sort -0.1645, -5, -20.
-20, -5, -0.1645
Sort 0.1, -3, 3/1243, 5, 3/7 in increasing order.
-3, 3/1243, 0.1, 3/7, 5
Sort 3, 0.11, 17633.
0.11, 3, 17633
Sort 5, 4, 3, 65, 1.
1, 3, 4, 5, 65
Put -2, -1, -4, -11, 0, -3 in increasing order.
-11, -4, -3, -2, -1, 0
Put 2, 4, 10, -2, -64, 3 in descending order.
10, 4, 3, 2, -2, -64
Put 5, 2543, 3, 66 in increasing order.
3, 5, 66, 2543
Sort 3, -156, -4, 4, -7.
-156, -7, -4, 3, 4
Sort 345, -15, 1/3, -4/7, 0 in decreasing order.
345, 1/3, 0, -4/7, -15
Sort 20, 0, 112, 1, -2 in increasing order.
-2, 0, 1, 20, 112
Put 159, -16, -2/17 in increasing order.
-16, -2/17, 159
Sort 1, -3, 201, -2, -9, 5 in increasing order.
-9, -3, -2, 1, 5, 201
Put 2, 3, -97, -17, 95, -4 in increasing order.
-97, -17, -4, 2, 3, 95
Put -1/6, -8/7, -227.7 in decreasing order.
-1/6, -8/7, -227.7
Sort -1273, 2, 1, 6, -5 in ascending order.
-1273, -5, 1, 2, 6
Put 1, -0.4, -74, 2/
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -179*t + 422492 = -414519 - 420464. Is 3 a factor of t?
False
Suppose 2*s - y + 129 = 4*s, 0 = 4*y - 4. Suppose -2115 = 63*j - s*j. Is j a multiple of 14?
False
Is 15 a factor of (219 + 13)/29 + 4789*1?
False
Is 12 a factor of (6*3*3)/((-165)/(-1870))?
True
Suppose -769 = 2*b - 5*n, 4*b + b = n - 1957. Let i = 448 - b. Is 12 a factor of i?
True
Suppose 2*f = -2*g + 478 + 1352, -f = 4*g - 897. Is 2 a factor of f?
False
Let b(k) = -10*k - 11. Let q be b(-6). Let i = q + -17. Suppose 543 = -i*p + 35*p. Does 38 divide p?
False
Is (-39)/143 + (-162699)/(-33) a multiple of 34?
True
Let k = -2855 + 4992. Is 5 a factor of k?
False
Let g = -550 + 1056. Let m = g + -132. Is 22 a factor of m?
True
Suppose -6205 - 9527 = -57*z. Is 46 a factor of z?
True
Let n = -147 + -76. Let l = -632 - -947. Let i = n + l. Does 22 divide i?
False
Let m(o) = -97*o - 44. Let z(l) = -293*l - 131. Let s(y) = -11*m(y) + 4*z(y). Does 34 divide s(-2)?
True
Suppose -36*d + 35*d + 3 = 0. Suppose 82 = 5*n - 2*m - 2*m, n - 24 = -d*m. Is 9 a factor of n?
True
Let u be 44/10 - (-2)/(-5). Suppose -1244*t = -1249*t + 15. Suppose -4*q - u*s + 486 = -s, 6 = -t*s. Does 19 divide q?
False
Let r(w) = -w**3 - 11*w**2 - 25*w - 14. Let o be r(-8). Is o - (-133 - (-28)/4) a multiple of 10?
True
Let v(t) = 12*t**2 + 7*t + 5. Let i be v(-1). Suppose i*m - 266 = 224. Is m a multiple of 49?
True
Suppose 7*i + 20187 = 6327. Let h = -1381 - i. Suppose 5*b + 39 = h. Is 28 a factor of b?
True
Suppose w + 11093 = h - 6102, 4*h = 2*w + 68772. Is h a multiple of 106?
False
Let g(b) = -55*b - 261. Let q be g(-5). Is 5 a factor of (7/q)/((-4)/(-232))?
False
Let o(j) be the third derivative of 0*j + 0 - 3/4*j**4 - 11*j**2 - 19/6*j**3. Is 12 a factor of o(-5)?
False
Let j = -9 + 362. Let a = j + -300. Is 18 a factor of a?
False
Let y = 6 + -12. Let l be (8/y)/((-6)/9)*7. Suppose l - 254 = -2*k. Does 10 divide k?
True
Suppose 0 = 2*z + g - 1650 - 3091, -2*g = z - 2372. Suppose 3*q + 1197 = 2*f, -f - z = -5*f - 2*q. Does 33 divide f?
True
Does 25 divide -9 + 9/3*1670404/93?
True
Is (-1)/((-5)/4*17*52/51278630) a multiple of 34?
False
Suppose 476 - 2004 = -2*c - 4*g, 5*c - 3804 = -2*g. Let k = c - 316. Is 11 a factor of k?
False
Suppose 0 = 6*n + 275 - 41. Does 12 divide n/13 + (-3)/(-9)*831?
False
Let p be 3 - (453 + -5 + -5 + 7). Let x = -254 - p. Is 15 a factor of x?
False
Let s = 3193 - 2959. Does 55 divide s?
False
Suppose 48*k = 52700 + 23734 + 79566. Is 192 a factor of k?
False
Let v = -47 - -50. Let r be 574 + 1 + 0 + v. Suppose 4*x - 3*d = r, -2*d = -x + 3*d + 136. Is 10 a factor of x?
False
Let x(c) = -c**3 + 11*c**2 + 2*c + 86. Let u be x(14). Let l = 551 + u. Does 45 divide l?
False
Suppose 250*t - 1879227 = 61*t. Is t a multiple of 5?
False
Let x(j) = -60*j - 115. Let n be x(-3). Suppose n*c - 67*c + 126 = 0. Is 13 a factor of c?
False
Suppose 5*o - 467 = -i, 3*o - 2*i - 35 = 253. Suppose 4*v - 3*z = 281 + o, -v - 4*z = -108. Is v a multiple of 14?
False
Let r(g) = g**3 - 26*g**2 + 56*g + 26. Suppose 4*u = j - 12, 34*u = -4*j + 33*u + 99. Is 15 a factor of r(j)?
False
Suppose 3*g + 4*r - 14 = 0, 0 = -0*g + 5*g - r + 15. Let k be 140 + (g/2 - -2). Let f = k + -26. Is 23 a factor of f?
True
Suppose 4*n = -4*d + 256, -4*n - n = -d + 88. Suppose -h + 7 = -5*r, 3*h + 5*r = d - 7. Is h even?
False
Let o(u) be the third derivative of u**6/120 - 7*u**5/60 + 5*u**4/12 - u**3/2 - 13*u**2. Let w be o(4). Let k = 38 - w. Is 9 a factor of k?
False
Does 49 divide 14846 + -5 + 2/2 + 7 - -7?
False
Suppose -c + 118 = c - m, -m = 3*c - 172. Suppose -2*d + c = 4. Let w = d - -133. Is 17 a factor of w?
False
Let h be 1 + 1 + -4 - 1. Let u be h*1/(-12) + 260/(-16). Is 11 a factor of ((-263)/(-4) - 4/u)/1?
True
Let u(x) be the first derivative of -3*x**2/2 + 13*x - 46. Let b be u(9). Is b/(-3) + (-2)/3 - -146 a multiple of 8?
False
Suppose -5*p + r - 145 - 55 = 0, -r = 2*p + 73. Let d be -2 + (13/p - 2/3). Is d*(-542)/14 - (-20)/(-140) a multiple of 29?
True
Let v(c) = -212*c - 10. Let l be v(-5). Suppose -8*b - 7*b = -l. Is b a multiple of 14?
True
Let y(c) = 9*c**3 - 2*c**2 - 4*c - 29. Let i be y(4). Let x be (8/(-3))/((-3)/9). Suppose 469 = x*q - i. Does 40 divide q?
False
Let v = -10406 - -16547. Is 89 a factor of v?
True
Suppose 0 = -128*o - 135*o + 11371594. Is 155 a factor of o?
False
Does 32 divide 16*32*(-9 + (-18)/((-108)/546))?
True
Suppose -69*x + 66*x = -9. Suppose 4*k - x*l = 358, k - 16 = -2*l + 79. Does 3 divide k?
False
Let p = 221 - 219. Suppose p*o + 756 = 17*s - 14*s, 3*s + o = 747. Is s a multiple of 48?
False
Let t(a) = -11 - 5*a + 4*a - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3288
-3268
What is -36.3 plus 6022?
5985.7
What is -35 - -55?
20
Work out -53767 + -0.1.
-53767.1
What is 2 less than 6564?
6562
Calculate -8447 - 2.4.
-8449.4
What is -1 plus 302?
301
Sum -3 and -470.
-473
Work out 23420 + -0.4.
23419.6
Subtract 7 from 0.041.
-6.959
Work out -25893 - -140.
-25753
What is -568492 + -0.7?
-568492.7
Subtract 0.01 from -19165.
-19165.01
Put together -1 and 251.48.
250.48
What is -5451 take away 6?
-5457
41 + -1059.8
-1018.8
Work out 278441 - -2.
278443
Put together 0.021 and 3774.
3774.021
What is the difference between 313 and 455.5?
142.5
Work out -0.119 + -8.991.
-9.11
What is 1.4085 plus -4?
-2.5915
What is the difference between -3 and -0.016149?
2.983851
What is 4 plus 583550?
583554
0.0209 - -5
5.0209
What is -0.2 less than 8.881016?
9.081016
What is 0.0302086 minus -1?
1.0302086
Sum -11 and -148.
-159
What is 9 less than 878212?
878203
Subtract -1.76 from -0.02.
1.74
-5 - 87.179
-92.179
Add together 3 and -451032.
-451029
What is 0.17 less than -8807?
-8807.17
Add together -276 and -864.
-1140
Put together 14768 and 0.5.
14768.5
Add 373.5 and 86.
459.5
What is -2 + -0.293?
-2.293
Subtract 0.0506755 from -0.5.
-0.5506755
Total of 16 and 810047.
810063
Calculate 9519 - 5.
9514
Work out 4 + -134.88.
-130.88
Add 35636 and 0.04.
35636.04
What is -460 plus -0.03?
-460.03
Work out -0.5 + 613312.
613311.5
Sum -2.884 and -0.2.
-3.084
Add together -73 and -315.
-388
What is 5 plus 0.03126?
5.03126
Subtract 1.5877 from -27.6.
-29.1877
What is 13.5715 - 0.1?
13.4715
0.33751 + -0.3
0.03751
What is 3 plus -3629?
-3626
Subtract -132 from -0.27.
131.73
Put together 3 and -65699.
-65696
Put together -3 and -297.
-300
-0.2+-112.3
-112.5
Sum -0.2 and -472539.
-472539.2
What is the difference between -125700 and 0.4?
125700.4
Put together -2 and 0.34229.
-1.65771
Subtract 0.784 from 0.4.
-0.384
495503 + -0.2
495502.8
What is the distance between 2.2 and 21954?
21951.8
What is the difference between -0.094 and 4?
4.094
-0.06+-0.4732
-0.5332
What is the distance between -4 and 6951343?
6951347
Work out -0.201 + 3.3.
3.099
What is the distance between 8450 and -0.21?
8450.21
What is the difference between 0.5 and 171.18?
170.68
Sum 0.0169 and -17.
-16.9831
Add together 566853 and -0.5.
566852.5
What is -0.01 take away -10.449?
10.439
Subtract -14 from 0.11.
14.11
What is the distance between -1.4168 and 169?
170.4168
Total of -0.05 and -10.55.
-10.6
6.34493 + -0.5
5.84493
What is -27068 + -0.18?
-27068.18
-0.165+130.7
130.535
What is the difference between -0.4 and 48.095?
48.495
0.1 + -0.0512
0.0488
Subtract -0.3 from 3.44077.
3.74077
Calculate 0.2 - -2317.
2317.2
Work out -4 + -2590172.
-2590176
Calculate -494.1 + -2.
-496.1
What is 1217 less than -2?
-1219
What is 0 take away 220.8?
-220.8
Subtract 200 from 19.3.
-180.7
Add together 12 and 0.15869.
12.15869
Sum 0.11 and 1441.
1441.11
-37+0.087
-36.913
What is the distance between 0.92 and 418?
417.08
What is 0.4 minus -18104.9?
18105.3
What is the distance between 0.2 and -0.0158111?
0.2158111
36208 + 15.7
36223.7
What is the difference between 2 and -744?
746
Total of 0.296 and 762.
762.296
-12098+-0.2
-12098.2
What is the distance between -4 and 9063?
9067
What is -407 + -78?
-485
What is the distance between -3 and -109233?
109230
What is -1664 less than -220?
1444
What is the difference between 10444 and 15.1?
10428.9
Total of 4301 and -65.
4236
What is -7440 take away -1.77?
-7438.23
Add -5.2 and 3684.
3678.8
What is -53822 minus -11?
-53811
Subtract 0.16 from -1.2449.
-1.4049
What is the difference between 20147.05 and 0.07?
20146.98
What is -0.007 - -0.006?
-0.001
Work out 5 + 234.
239
What is 0.076 - -4.738?
4.814
Subtract 7265 from 4.
-7261
Work out 950 - -9.
959
Add -0.037658 and 0.07.
0.032342
What is -930 minus -3.1?
-926.9
What is -416378 plus -0.1?
-416378.1
What is -0.0772 + -4?
-4.0772
Put together -0.4 and -734.
-734.4
What is the distance between -1.3 and -111?
109.7
Sum 0.07 and -24611.
-24610.93
Work out 1181 + 0.04.
1181.04
Sum 41 and 21.
62
Subtract 1725 from 2.
-1723
-0.3+-616
-616.3
What is the difference between 40947.8 and -1?
40948.8
Sum -29 and -9833.
-9862
Subtract -1 from -790.
-789
What is 0.087 - 7.5?
-7.413
Calculate -2.095 + -1153.
-1155.095
Add together -35 and -2133.
-2168
Work out 6 + 1.1328.
7.1328
Add -26 and 71908.
71882
Total of 4 and 4094.
4098
Put together -0.046665 and -2.
-2.046665
Total of 0.45 and -58.1.
-57.65
What is 4699 minus -11?
4710
What is the distance between -0.6 and
|
{
"pile_set_name": "DM Mathematics"
}
|
16, -2*g + h*c = -0*g - b for g.
5
Suppose -1 - 129 = -26*j. Solve -j*q + 12*c - 7*c + 35 = 0, -2*c - 24 = -4*q for q.
5
Let j = 18114 - 18114. Solve 4*x + 40 = -j*g + 4*g, 5*g - 2 = -x for g.
2
Let h(w) = -2*w**2 + 21. Let j be h(-3). Solve 2*o - 13 = 3*d, 3*d = -j*o - 10 + 22 for d.
-1
Suppose 0 = 4*k + 8281 - 8289. Suppose -3*v - 2*v + 5*t - 5 = 0, -4*v + t + 11 = 0. Solve 0 = -k*q + 5*b - 0 + 7, -v = -2*q + 4*b for q.
-4
Let p(m) = -m**2 - 4*m + 5. Let h be p(-5). Suppose h = -9*w - 5 + 50. Let u = -3 + w. Solve -3*q = u*n + 8, -4 + 26 = -5*q + n for q.
-4
Let m(b) = -15*b + 14*b + 7 - b**3 + 15*b + 13*b**2. Let q be m(14). Suppose -3*w + 3 = 3*t, 2*w + 5*t = -q - 3. Solve 2*y = -s + w*s - 12, 0 = -s + 1 for y.
-4
Let z = -108 + 241. Suppose -5*u = -z + 98. Suppose 3*r + 9 = 0, u = 2*l - r - 0*r. Solve 1 = 4*n - j - 11, 6 = 2*n - l*j for n.
3
Let v = 14660 + -14648. Solve 5*a + 18 = n + 21, 4*n = -3*a - v for n.
-3
Let j be 6 - -4 - (4 - -2 - 1). Let m(t) = 8*t - 36. Let l be m(j). Solve -q = -l*k - 14, -3*q = q + 8 for k.
-4
Suppose 9*u + 10 = 28. Let f(w) = 13*w - 23. Let t be f(u). Solve 7 = -j + r - 3*r, -3*j + 15 = -t*r for j.
1
Let s(l) be the first derivative of 4*l - 3/2*l**2 + 35. Let a be s(-9). Solve 2*h + 5*g = a, 0 = -0*h + 2*h + 3*g - 21 for h.
3
Let p(q) = -q**2 + q + 62. Let u be p(14). Let s = u - -124. Let v(b) = b**2 + 6*b + 10. Let f be v(-4). Solve 5*h = -s*n - 13, 14 - 3 = -h + f*n for h.
-5
Let l be 74 - (120/(-35) - 6/(-14)). Let x = 79 - l. Let z = x - -3. Solve 0 = -z*r + 4*n + 12, n = -4*r + r + 14 for r.
4
Suppose 4*d = -9*s - 20 + 5, -3*d + 3*s + 18 = 0. Solve d*m + z = 6, 13*m + 4*z = 8*m + 10 for m.
2
Let v(l) = l + 6. Let k be v(-4). Let o(g) = -4*g**3 + 50*g**2 - 31*g + 95. Let n be o(12). Solve 3*w = -0*w - k*z - n, w = z - 7 for w.
-5
Suppose 0*t - 4*t - 4*d + 76 = 0, 69 = 3*t - 3*d. Suppose 0 = -w - 2*u + 4, 20*w + 4*u = t*w + 8. Solve 3*s + 2*h - 5 = w, h - 9 = -5*s + 11 for s.
5
Suppose -22*l - 5 + 27 = 0. Let w be 12*-3*(-1)/4. Suppose w*t = 4*t + 25. Solve -3*u - 1 = -2*j, 0*u = t*u - 2*j - l for u.
1
Let o = 6961 + -6956. Solve -2*d + 6 = 2*d - o*h, 2*d + 4*h + 10 = 0 for d.
-1
Let p be 1 + -10 - (119 + -132). Solve a = o + 1, -29*a + 21 = -28*a + p*o for a.
5
Suppose 0 = -3*a + 4*g + 137, 0*a - 2*a - g + 95 = 0. Suppose 4*b = -3*l + 47, -a*b = -48*b + 2. Solve 4*c - 4 = -4*d, 4*d + d + c = l for d.
3
Let j(i) = -i**2 + 38*i + 12. Let g be j(0). Solve 2*d = -4*v + g, 0 = 9*d - 5*d - 4*v + 36 for d.
-4
Let r = -653 - -656. Suppose -4*n = r*o - 32, 4*o - 5*n - 4 = -13. Solve -3*f - 5*i - 20 = -f, o*f - 3*i = 12 for f.
0
Let u(d) = 17*d + 19. Let i be u(-1). Suppose -3*c = 0, i*o + 42*c = 46*c. Solve 0*s - 4*s + 13 = -5*q, o = 4*s - 8 for q.
-1
Suppose -5*y - 5*z + 370 = 0, 0*y + 5*z = y - 68. Suppose 7*o - 95 = y. Suppose 10 = 2*h + 3*h. Solve 2*r = h*i, -i + o = r + 4*r for r.
4
Suppose 25*k - 22 = -4*q + 23*k, q - k - 1 = 0. Solve 0 = -0*s - s + 2*i + 3, -s + q = -3*i for s.
1
Let r be -6 + 0 - ((-1 - 3) + -2). Solve -3*t + v - 1 = r, t - 13 + 5 = 2*v for t.
-2
Let f be (5 + -13 + 8)*(-3)/9. Solve f*u + z = -2*u + 15, -3*z + 15 = 0 for u.
5
Let w = 25963 + -25956. Solve -4*o = -5*t + 30, -w*t + 3*t - o + 24 = 0 for t.
6
Let v be (1 - 0)/(19/57). Suppose -v*h - 3*h = 24. Let z be h/(-3)*(-7)/((-21)/9). Solve -z*w + 0*w + 8 = -3*x, 4*w = -x + 24 for x.
4
Suppose 4*y - 5*r - 89 = 0, -9*y = -6*y - 2*r - 65. Solve 7 = -3*w - 8, 4*w = -t - y for t.
-1
Let r(f) = f**3 + 33*f**2 - 7*f - 229. Let z be r(-33). Solve -5*j + 4*k = -11, 1 = -k + z for j.
3
Suppose 2*m + z - 3 + 1 = 0, 4*m + 5*z + 2 = 0. Let s be (6 - 13)/(-42) - (-176)/96. Solve 0 = 4*t + s*f - 6, -m*t - 6 = 2*t - 2*f for t.
0
Let n(a) = -a**3 - 5*a**2 + 7*a + 3. Let p be n(-6). Let t be (-3)/(-3) - (2 + p). Suppose -7*h + 153 = t*h. Solve 3*v + k + 2 = -9, 5*v + 2*k + h
|
{
"pile_set_name": "DM Mathematics"
}
|
t d be ((-6)/(-10))/((-2)/p). What is the second derivative of -4*g**3 + 0*g + d*g**3 + 2*g wrt g?
-6*g
Suppose 33*x - 28*x - 30 = 0. Let i(y) be the third derivative of 0*y + 1/210*y**7 + 0 + 0*y**4 + 0*y**5 + y**2 + 1/3*y**3 + 0*y**x. Differentiate i(l) wrt l.
4*l**3
Let p(v) be the third derivative of 11*v**6/60 - 8*v**3/3 + 23*v**2. What is the derivative of p(d) wrt d?
66*d**2
Let g(o) be the third derivative of o**5/15 - 7*o**3/6 - 8*o**2. What is the derivative of g(p) wrt p?
8*p
Suppose 5*z + 4*m = 2*z - 2, -10 = -2*z + 3*m. Let w(q) be the first derivative of -2 + z*q - 3/2*q**2. Differentiate w(k) wrt k.
-3
Let v = 3 - 1. Find the first derivative of 4*s**2 + 2 - v*s**2 + 1 wrt s.
4*s
Let p(n) = 8*n**2 - 4*n - 11. Suppose -20 + 4 = 4*j. Let c(x) = -23*x**2 + 11*x + 32. Let z(b) = j*c(b) - 11*p(b). What is the first derivative of z(k) wrt k?
8*k
Let c(p) be the second derivative of p**7/7 + 3*p**3/2 - 8*p. What is the second derivative of c(i) wrt i?
120*i**3
What is the second derivative of 0*f**3 + 13*f**3 - 10*f - 5*f wrt f?
78*f
Let f(z) be the first derivative of 8/5*z**5 + 0*z**3 + 0*z**4 + 4*z + 7 + 0*z**2. Differentiate f(b) with respect to b.
32*b**3
Let d(k) = -k**3 - 8*k**2 - 9*k - 9. Let w be d(-7). What is the third derivative of 2*o**2 + 5*o**5 - w*o**5 + o**6 + 0*o**2 wrt o?
120*o**3
Let w(v) = 2*v**2 + 4*v + 3. Let a be w(-2). Suppose 2*y = -a*y. Find the second derivative of y*i**2 + i + i**2 + i**2 + 2*i wrt i.
4
Let v(g) = -31*g**4 - 7*g**2 + 9*g + 7. Let u(q) = 10*q**4 + 2*q**2 - 3*q - 2. Let k(w) = -7*u(w) - 2*v(w). Find the second derivative of k(h) wrt h.
-96*h**2
Find the second derivative of -62*h - 61*h - 5*h**3 + 139*h wrt h.
-30*h
Let j(q) be the third derivative of -q**8/168 + 11*q**5/20 + 5*q**4/8 + q**3/6 + 2*q**2 - 4*q. Find the second derivative of j(w) wrt w.
-40*w**3 + 66
Let r(g) be the second derivative of g**5/10 + 7*g**4/12 + 4*g. What is the third derivative of r(w) wrt w?
12
Let k(y) = 19*y**2 + 11. Let g(t) = 76*t**2 + 43. Let u(v) = 2*g(v) - 9*k(v). Differentiate u(n) with respect to n.
-38*n
Find the first derivative of -31*t**3 + t**2 + 10*t**3 + 10*t**3 + 34 wrt t.
-33*t**2 + 2*t
Let q = 17 + -17. Let t(o) be the second derivative of 0*o**5 + 0*o**4 + q + o**2 - 1/30*o**6 + o + 0*o**3. What is the derivative of t(l) wrt l?
-4*l**3
Let a(v) be the second derivative of 1/10*v**5 + 0*v**3 + 0 + 0*v**4 + 3*v - 3/2*v**2. Differentiate a(f) wrt f.
6*f**2
Let i(s) be the second derivative of 0 + 0*s**5 + 0*s**6 - 1/56*s**8 + 0*s**3 + 0*s**7 - 1/6*s**4 + 3*s + 0*s**2. What is the third derivative of i(v) wrt v?
-120*v**3
What is the derivative of -10*v**4 - 6*v**4 - 1 + 9*v**4 wrt v?
-28*v**3
Suppose -5*b = -2*b - 6. What is the third derivative of -5*v**5 + 5*v**b - 11*v**4 + 11*v**4 wrt v?
-300*v**2
Suppose -c = c - 156. Find the third derivative of -c + 78 - w**2 + 2*w**3 wrt w.
12
Let l(r) be the second derivative of r**9/1512 - r**5/120 + r**3/6 + 2*r. Let f(v) be the second derivative of l(v). Find the second derivative of f(z) wrt z.
40*z**3
Let i(u) be the second derivative of -u**5/10 - u**3 + 4*u. What is the second derivative of i(s) wrt s?
-12*s
Let g(w) be the second derivative of 2*w**7/21 - 2*w**3 - 20*w. Find the second derivative of g(u) wrt u.
80*u**3
Let t(z) be the second derivative of 3*z**5/20 + z**4/4 + 3*z. What is the third derivative of t(x) wrt x?
18
Find the first derivative of -6*s**3 + 4 + 4 - 3 - 2 wrt s.
-18*s**2
Find the first derivative of -3 + 41*n**2 + 13*n**2 - 18*n**2 wrt n.
72*n
Let u(q) = 6*q + 21. Let m(w) = -30*w - 105. Let b(c) = -5*m(c) - 24*u(c). Differentiate b(n) wrt n.
6
Let w(j) be the third derivative of 0*j**5 - 1/30*j**7 + 0*j**4 + 0*j + 0 - 7*j**2 + 0*j**6 + 5/6*j**3. Differentiate w(l) with respect to l.
-28*l**3
Let u be -3 + 2*(2 + 0). Let k(i) = 5*i**3 - i - 7. Let p(t) = -t**3 + t. Let v(x) = u*k(x) + p(x). Differentiate v(z) wrt z.
12*z**2
Suppose -4*i + 3 = -u, 5*i - 1 = 3*u + 8. Let n be -1*(-3 - i - 0). Find the second derivative of -n*y + 2*y**3 - 3*y**3 + 2*y**3 wrt y.
6*y
Suppose 4*g - 15 = -3. What is the third derivative of -2*y**2 + 0*y**3 + 9*y**3 - 3*y**g + 0*y**2 wrt y?
36
Find the third derivative of -27*r**5 - 3*r**5 - 158*r**2 + 117*r**2 wrt r.
-1800*r**2
Let h(s) be the third derivative of -19*s**7/210 - s**5/10 - 7*s**2. What is the third derivative of h(y) wrt y?
-456*y
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= -19465 - -19467. What is o(p)?
-117
Let j be (0 + (-2 - -705))/(36/(-36)). Let o = -722 - j. Let a(q) = q**2 + 20*q + 13. Determine a(o).
-6
Suppose 0 = -3*t + 4*k + 3, 25*k - 11 = -t + 23*k. Let w(x) = -7 + t*x**2 - 2*x**2 + x**3 - 4*x**2 + 2*x**2 + 2*x - x. What is w(0)?
-7
Let j = 74 + -71. Let q(d) = d**3 + 1 + d**2 - 60*d + 56*d - j. Give q(-3).
-8
Let u(c) = 5*c + 18. Let h(t) = 88 + 18*t + 5 + 8*t. Let s(p) = -2*h(p) + 11*u(p). Give s(-5).
-3
Let f(b) = -9*b**2 - 8*b - 8. Let x be f(-2). Let h = 30 + x. Let q(v) = 2 + v**3 - 34*v - 9*v**2 + 41*v + h. What is q(8)?
-4
Suppose -5*d + 17 = 4*h - 2*d, -5*h = 5*d - 25. Let n be (-6)/4*((-70)/21 + h). Let y(i) = -5*i**2 + 4*i - 2. Give y(n).
-14
Let p(b) = -372*b**2 + 0 + b**3 + 367*b**2 + 12*b - 2*b - 13. Determine p(4).
11
Suppose -2*b + 6*b + 4*p = 0, 3*p = 5*b - 16. Suppose -194 = -2*x + 3*n, b*x - x - 97 = -n. Let r(g) = x*g - 50*g + 6 - 44*g. Calculate r(-4).
-6
Let p(l) = -l**3 + 16*l**2 + 20. Suppose 0 = -2*m + v + 13 + 15, -2*m - v + 36 = 0. What is p(m)?
20
Let o(b) be the second derivative of -b**4/12 + 3*b**3 + 11*b**2 + 31*b - 6. Calculate o(15).
67
Let m(i) = -i**3 + 7*i**2 - 4*i + 1. Let w(d) = 3 - 7*d + 11 + 12 - 23. Let p be w(5). Let s be p/(-5) - 12/30. Calculate m(s).
13
Let y(m) = 46*m + 5. Let o(p) = 52*p + 6. Let n(s) = 6*o(s) - 7*y(s). Let z(c) = -c + 6. Let u be z(5). What is n(u)?
-9
Let y(b) = 6*b**2 + 5*b - 2. Let l be 9/(-6) - (519/(-6) + -3). Let i = l - 83. Let c(f) = -7*f**2 - 6*f + 2. Let m(p) = i*c(p) + 6*y(p). Determine m(-2).
2
Let x(c) be the third derivative of -c**5/60 - 3*c**4/8 - 7*c**3/3 - 242*c**2 + 2. What is x(-12)?
-50
Let f(s) be the third derivative of -s**4/12 + 17*s**3/3 - 29*s**2. Let l be f(16). Let d(o) = 8 - l*o + 2 - 2 - 5. What is d(2)?
-1
Let q(i) = -12*i + 2332 - 1168 - 1582. Determine q(-35).
2
Let t(k) = -557*k - 125. Let q(l) = -89*l - 21. Let n(u) = -25*q(u) + 4*t(u). What is n(4)?
13
Let b = -4 - -4. Suppose -3*t - 4 = v - 2*v, b = 3*t - 3*v - 6. Let c(r) = 4*r**3 + 23*r - 4. Let g(i) = i**3 + 4*i. Let h(m) = -c(m) + 5*g(m). Determine h(t).
-14
Let n(w) = -10*w**2 - 9*w + 4. Let v(z) = 8*z**2 + 9*z - 3. Suppose -16*x = -5*x - 55. Let h(q) = x*n(q) + 6*v(q). Calculate h(7).
-33
Let u(s) = 4*s**3 + 12*s**2 + 64*s + 23. Let m(a) = -a**3 - 3*a**2 - 17*a - 6. Let l(v) = -11*m(v) - 3*u(v). Give l(-3).
12
Let y(v) = -v**3 - v**2 + 2*v + 2. Let z be 12/3*255/68. Suppose 3*t - 6 = -5*k, -5*t - 2*k + z = 24. Determine y(t).
14
Let r = -139 + 160. Suppose -2*h + 5*i - r - 17 = 0, -57 = 5*h - 3*i. Let x(u) = u**3 + 10*u**2 + 9*u - 5. Determine x(h).
-5
Let h(j) = j**3 - 3*j**2 - j - 9. Suppose -4*a - 8693 = -8709. What is h(a)?
3
Let p(t) = -2*t + 14. Let i(m) = 5*m + 7. Let x be i(29). Suppose 0 = -15*r - 4*r + x. Determine p(r).
-2
Let o(v) = -v - 5. Let i(w) = 6*w**2 + 3*w + 54. Let a(d) = -i(d) - 10*o(d). What is a(2)?
-14
Let h(s) = 83*s + 576. Let o(b) = -15*b - 1747. Let l be o(-116). Calculate h(l).
-5
Let i(o) = -o + 1. Let j(q) = -6*q**2 + 16 - 304*q**3 - 299*q**3 + 3*q + 604*q**3. Let t be j(5). What is i(t)?
-5
Let c(n) be the first derivative of n**3/3 + 3*n**2/2 - 10*n - 199. Give c(-5).
0
Let u = -105 - -75. Let h be ((-162)/u - 0)/(6/20). Let z be (12/(-8))/(-3)*h. Let k(i) = i - 9. What is k(z)?
0
Let y(n) = -12*n - 2*n + 3 + 4*n - n**2. Let h(f) = -f**2 - 11*f + 3. Let c(d) = 3*h(d) - 4*y(d). Let a be 12/60 - (-108)/(-15). Give c(a).
-3
Let m = 2639 - 2648. Let i(g) be the third derivative of -g**5/30 - 17*g**4/24 + 3*g**3/2 + 14*g**2. What is i(m)?
0
Let y(x) = x**2 + 1. Let q(j) = -4*j**2 + 4*j - 20. Let d(a) = q(a) + 6*y(a). Let u be d(2). Let m(i) = 4*i**3 - 2*i**2 + 2*i - 2. Determine m(u).
26
Let x = -12 + 8. Let p(r) = 4*r - 9. Let s(v) be the second derivative of 2*v**3 - 13*v**2 + 7*v + 3. Let i(j) = 17
|
{
"pile_set_name": "DM Mathematics"
}
|
2*r. Let k = 10 - r. Suppose k*l + 2 = 17. Solve 2*x + l = -3*x for x.
-1
Let f = -14 - -14. Suppose -2 = -4*j + 3*j. Solve f*w = w - j for w.
2
Suppose -3*x = -5*u + 60, x = -3*x - 20. Let l be (-2 + -1)/(u/(-6)). Solve b = 2 + l for b.
4
Let r be (-12)/8 - (-60)/8. Solve -8*w = -r*w for w.
0
Let f be (16/40)/(1/10). Solve -d - 6 = -f*d for d.
2
Let q(x) = -x**2 - x - 11. Let p be q(0). Let c = p + 17. Solve -26 = -5*m - c for m.
4
Let j = -7 - -12. Suppose 20 = -3*h + 2*h + j*d, 4*h - 25 = -d. Solve -h*l + 14 = -1 for l.
3
Let b(r) = r**2 - 6*r - 4. Let d be b(7). Solve -2*w = d*w - 5 for w.
1
Let t(n) = n**3 + 2*n**2 - 9*n + 1. Let i(d) = d**3 + d**2 - 10*d + 1. Let c(f) = -3*i(f) + 4*t(f). Let v be c(-6). Solve -2 = -q - v for q.
1
Suppose -2*u = 2 - 8. Suppose 5*n - 8 = -2*i, 3*i = n + 2*i - u. Solve 0 = -n*y - y - 9 for y.
-3
Suppose 2 = 5*t + 12. Let v be -4*3*t/8. Suppose 2*m + 2*s = 14, -3*m + 0*m = -v*s - 51. Solve 3*j = -m - 3 for j.
-5
Let y = 16 + -15. Let z = 3 - y. Solve 0 = z*s + s - 9 for s.
3
Suppose 0 = -3*k + 7 + 77. Suppose 11 = -3*r - k. Let q be 4/6 + r/(-3). Solve 0 = 5*w - 20 + q for w.
3
Let c(m) = m**3 - 5*m**2 + 5*m - 2. Let p be c(4). Let v = -20 + 28. Suppose 5*s + 3*h - h - 6 = 0, -2*h - 4 = 0. Solve v = -p*w + s for w.
-3
Suppose -4*p - 20 = -2*u - 2*p, 4*u + 5*p = 58. Suppose 0 = -4*y + 2*v + u, 3*v + 3 = 5*y - 13. Solve y + 0 = x for x.
2
Let x be 228/84 + (-4)/(-14). Suppose 8*m - 4*m = 0. Suppose m = -h + 11 + 5. Solve h = -x*s + 1 for s.
-5
Let h = -197 + 199. Solve x = h*x for x.
0
Let a be ((-15)/9)/((-4)/((-96)/(-4))). Solve 16 = a*p - 6*p for p.
4
Let w(a) = 3*a - 5. Let n(j) = 2*j - 5. Let r(y) = 4*n(y) - 3*w(y). Let z = -11 - -6. Let q be r(z). Solve q = k - 0 + 3 for k.
-3
Let g be (3 - 1)*3/2. Suppose 11 = 4*c + g. Suppose 0 = -c*u + u + 6. Solve -4*b - u = -b for b.
-2
Let x = -12 + 8. Let w be ((-9)/(-12))/(x/(-80)). Solve w = 4*h + 3 for h.
3
Let v(b) = 5*b. Let m be v(1). Solve -m*l + 20 = -l for l.
5
Suppose -2*a + 29 = 4*r - 9*r, -2*a - 4*r + 20 = 0. Solve -5*z + a = -9*z for z.
-3
Let l = -1 + 4. Solve -2*v - 1 = -l for v.
1
Let n be 14 + (2/(-1) - 0). Suppose z = -4*w - 19, 7*w - 4*w + n = -3*z. Let k be (-1 - -9)/(z/1). Solve 2*s = -0*s - k for s.
-4
Suppose 4*f - 2*n - 8 = -0*n, -5*n + 12 = -2*f. Solve 0 = 5*z - f*z + 1 for z.
-1
Suppose 2*f - 3*j = -1 - 5, 2*j - 11 = -f. Let w(x) = 2*x - 4. Let z be w(f). Solve -4*v - z = 2 for v.
-1
Suppose 6*y - 16*y = -50. Solve 10*j - 10 = y*j for j.
2
Let w = 4 - 4. Suppose -4*g - g + 20 = w. Let k be (7 - 1)*2/g. Solve h + k = 4*h for h.
1
Suppose 19 = -4*o + 7. Let u be (9*-1)/(o/2). Suppose 7*w + 4 = 9*w. Solve -w*b + u*b = 0 for b.
0
Let w(h) = h**2 - 7*h + 5. Let b be -2*1/(-1) + 5. Let y be w(b). Suppose m + y*j - 11 = -32, -3*j = 3*m + 3. Solve t = -t + m for t.
2
Suppose 0 = 2*q - g - 0*g - 30, 3*q - 4*g - 55 = 0. Suppose -9*r = -q*r + 32. Solve -r*u + 15 = -3*u for u.
3
Suppose -q + 8 = -g - 2, 5*q - 3*g = 46. Let j be (-5)/(-2) - 3/6. Solve -q = -j*c + 2 for c.
5
Let y = -114 - -121. Solve j + 3 = y for j.
4
Let s(m) = -m + 1. Let h be s(-4). Suppose -2*l = -h*l. Let q be (-2)/(-10) + (-96)/(-20). Solve -25 + l = -q*j for j.
5
Suppose -3*n + 3*i = 12, 3*n + 4 = 2*i - i. Let m be -4 + 2 + (-5 - -8). Solve n = r - m - 2 for r.
3
Let r be ((-10)/8)/((-1)/4). Suppose 0*k + 9 = 3*k. Let v = 1 + k. Solve r*x - v*x + 2 = 0 for x.
-2
Suppose 0*l = 2*l + 4. Let f be l*(-5)/(-2)*-1. Let b = f + -2. Solve v + b = 1 for v.
-2
Suppose -5*q + 4 = -6. Suppose 0 = q*f + 2*f. Let g(w) = w**3 + w**2 - w + 1. Let j be g(f). Solve 0*x - x = -j for x.
1
Suppose 10*i + 16 = 11*i. Let y = i - 6. Solve -4*j - y = 10 for j.
-5
Let z = 8 - 11. Let d = -5 - z. Let g be 3*(d - (-20)/6). Solve -3*y - g = -y for y.
-2
Let i be (-4 - -2)/(2/6). Let w be (-34)/i - 6/9. Let z be (-2)/(3 + 21/(-6)). Solve -w = -z*c + 3 for c.
2
Let y(n) = -n**3 - n**2. Let c be y(-1). Let q be (-16)/(-6) + 4/(-6). Solve c = -2*r - q for r.
-1
Suppose 0 = 2*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
d z?
11
Suppose 0 = -3*s - 5*z + 140, 0 = -2*s - 5*z + 30 + 60. Let c = 1392 - 1367. What is the highest common divisor of c and s?
25
Let f be (4/(-13))/2 + (-301)/(-13). What is the greatest common divisor of 92 and f?
23
Let u be (4/8)/((-7)/(-98)). What is the greatest common factor of 91 and u?
7
Let g(s) = -s**3 - 14*s**2 - 23*s - 229. Let t be g(-14). What is the greatest common divisor of 3 and t?
3
Let p be ((-159)/(-28) - (-24)/(-56))*-8. Let t = 52 + p. Calculate the highest common factor of 20 and t.
10
Let g be ((-2 - 1) + 3)/(-2). Suppose -5*z - 2*i + 9 = g, 21 - 6 = -5*i. Let o = -31 - -33. What is the greatest common factor of o and z?
1
Let x be (-2)/6 + 84/9. Let u(f) = f**3 - 13*f**2 + 16*f - 12. Let c be u(12). Calculate the greatest common factor of c and x.
9
Suppose 0 = 14*r - 9*r - 75. Let y be (-24)/r*30/(-4). Calculate the highest common factor of y and 12.
12
Let d = -63 + 63. Suppose d = 18*a - 14*a - 64. Calculate the highest common divisor of 64 and a.
16
Let q = 25 - -27. Suppose 2*i + h - 17 - 19 = 0, -2*h = 3*i - q. Let p be 228/28 + ((-4)/(-2))/(-14). Calculate the greatest common factor of i and p.
4
Suppose 26*a - 97 = 33. Calculate the highest common factor of 180 and a.
5
Let a = 7148 + -7147. Let x be 2/(-6) + 56/6. Calculate the highest common factor of x and a.
1
Suppose 0 = -3*b + 13 - 1. Let d(u) = -20*u + 3 + b*u**2 - 2*u**2 + 9*u. Let i be d(13). What is the highest common factor of i and 22?
22
Let x be 33341/42 + (-2)/(-12). Suppose g = -3, -g - x = -4*c - 219. What is the greatest common divisor of c and 13?
13
Let l(j) = j**2 - 13*j + 15. Let n be l(12). Let i(m) = m**2 - 2*m - 4. Let a be i(n). Let v = a + 9. Calculate the greatest common factor of 20 and v.
4
Suppose k = -2*v - 14, 5*k - 22 + 56 = -4*v. Let u be 8*(-3)/v - -11. Calculate the greatest common factor of 30 and u.
15
Let n(m) = 7*m + 6. Let b be n(17). Suppose 3*d - b = -8. Suppose 6*h - 3*h - d = 0. What is the greatest common factor of h and 104?
13
Let v = -326 - -336. Let z(r) = r**2 + r - 4. Let s be z(4). Suppose 0*w = 4*w - s. What is the highest common divisor of w and v?
2
Let c = 359 + -352. Suppose 4*o - 69 = -5*k + 4*k, 0 = -k - 3*o + 64. Calculate the highest common factor of k and c.
7
Suppose 3*d = d + 36. Let o be 13 - (9 + -5 + 0). Suppose 4*n + o*n = 351. Calculate the highest common divisor of n and d.
9
Let m(l) = -3*l + 69. Let w be m(9). What is the greatest common divisor of w and 105?
21
Suppose s + 1 - 2 = 0. Let r be (s + (-808)/(-20))*5. Let c be ((-39)/26)/((-3)/46). Calculate the highest common factor of c and r.
23
Let r = 848 - 496. Suppose 5*v = v + r. Suppose -4*i + 50 = 18. Calculate the highest common factor of i and v.
8
Suppose -17*x - 32*x + 176 = -706. Let w(r) = -r**3 - r**2 + 5*r + 3. Let o be w(-3). What is the highest common divisor of o and x?
6
Suppose -5*p = 3*j - 298, -58 = -p + 64*j - 65*j. What is the highest common factor of 31 and p?
31
Suppose -2*l = -21*i + 18*i + 46, 5*i - 78 = 3*l. What is the greatest common divisor of 96 and i?
6
Let k = 469 - 279. Suppose 3*g - d + 0*d = 113, 147 = 4*g - 5*d. What is the greatest common divisor of k and g?
38
Let q be 4/(-6) + (11228/(-12))/(-7). What is the greatest common divisor of q and 7?
7
Let r(x) = 11*x**3 - 3*x**2 + 2*x + 3. Let i be r(3). Let a be 2/(-7) - i/(-21). Suppose 11*h + 12*h = 3289. Calculate the highest common factor of h and a.
13
Let d = -50 + 50. Suppose d = 3*u - 2*u - 3. What is the highest common factor of 6 and u?
3
Let z(r) = 19*r. Let v = 156 + -152. Let d be z(v). Calculate the highest common factor of d and 38.
38
Let p(l) = -21*l. Let b be p(-2). Suppose 4*g - b - 90 = 0. Suppose -2*q + 3*x = q - g, 5*q - 100 = -4*x. What is the greatest common divisor of q and 16?
16
Suppose 4*x = -0*x + 288. Let f = x - 144. Let k be f/(-5) - (-2)/(-5). Calculate the highest common divisor of 7 and k.
7
Let a = -103 + 191. Let g be 527/4 + 2/8. What is the greatest common factor of a and g?
44
Let k = -1026 - -1152. Calculate the highest common factor of 14 and k.
14
Suppose -18*m - 636 = -4*g - 22*m, 3*g + 4*m - 478 = 0. Calculate the greatest common divisor of g and 6.
2
Let z = 81 - 71. Suppose -2*h = -6*v + 3*v + 17, 6 = 2*v + 4*h. Calculate the greatest common factor of z and v.
5
Let i be 429/(-24)*2*4 + -3. Let g = i - -212. Calculate the greatest common divisor of 44 and g.
22
Suppose 18 = -2*a + 6. Let p = a + 8. Suppose -3*k = p*k - 55. What is the highest common factor of 33 and k?
11
Suppose 10 = -2*z, -4*f = -z - 624 - 117. What is the highest common factor of f and 40?
8
Let g = 2381 + -1885. What is the greatest common divisor of g and 128?
16
Suppose -w - 2*b + 0 = -14, -b = -w + 14. Calculate the highest common divisor of 154 and w.
14
Let p be (-1 - (-10)/8) + (-267465)/(-220). Calculate the greatest common factor of 38 and p.
38
Let n = 342 - 186. Suppose 5*z = 3*t - 4*t + 39, 2*t = 5*z + 78. Calculate the highest common divisor of n and t.
39
Let u(k) = -2*k - 13. Let m(j) = j**2 + 8*j + 1. Let a be m(-6). Let q be u(a). What is the highest common factor of q and 45?
9
Let b be (-1330)/42*36/(-4). What is the greatest common divisor of b and 171?
57
Let d(p) = -8*p**2 + 2*p - 7. Let m be d(5). Let w = m - -590. Let g = w + -246. What is the greatest common factor of g and 21?
21
Let n(d) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
s the value of 1*(-12)/(-21)*4/16?
1/7
What is the value of (102/187)/(2/22)?
6
What is (40/560)/((-4)/14)?
-1/4
Evaluate 10/4*20/(-10).
-5
-3*(-6)/((-432)/40)
-5/3
What is ((-8)/6*(-24)/(-112))/(-1)?
2/7
What is 18/22*(-14)/21?
-6/11
What is the value of 3*5/(-45)*3?
-1
What is (-4)/(-40)*10/(-8)?
-1/8
Calculate ((-158)/6162)/(1/18).
-6/13
Calculate (3*5/(-45))/(44/48).
-4/11
Calculate 6*-13*7/(-273).
2
What is -2*5/(-20)*-6?
-3
((-48)/160)/((-9)/(-3))
-1/10
Evaluate (17*(-6)/(-255))/(2/(-5)).
-1
Evaluate -1*21/28*4.
-3
16/48*0/(-2)
0
280/(-28)*1/(-2)
5
((-5)/2)/(15/(-30))
5
What is (2/7)/(-1*8/(-224))?
8
Calculate ((45/9)/(-15))/(1/9).
-3
Calculate ((-4)/70)/((-69)/161).
2/15
(-64)/(-44)*(-11)/(-2)
8
What is (-1)/(1*(-1)/((-4)/2))?
-2
Calculate 64/(-48)*15/20.
-1
((-96)/(-32))/(5/((-50)/6))
-5
What is the value of (43/774)/((-2)/(-12))?
1/3
What is ((-504)/280)/(2/(-10))?
9
Evaluate (8/(-72)*-6)/((-2)/27).
-9
What is the value of ((5/1)/(-1))/1?
-5
What is the value of (-24)/216*2/1?
-2/9
Evaluate (-24)/(-21)*(-3)/((-48)/(-4)).
-2/7
Evaluate (-11)/165*10*1/3.
-2/9
Evaluate ((-32)/(-24))/((-2)/(-6)).
4
(((-8)/(-6))/(4/(-12)))/14
-2/7
(12/15)/(12/20)
4/3
Calculate (-20)/8*-2*(-1)/1.
-5
What is ((-4)/14)/(27/21)?
-2/9
What is the value of (3*5/5)/1?
3
What is 4*((-13)/13)/(2/2)?
-4
What is 10/(-60)*6*14/2?
-7
What is the value of (-3)/(9/6*(-11)/(-33))?
-6
Evaluate 132/495*3/2.
2/5
1*(100/5)/(-5)
-4
((-6)/(-30))/((-11)/((-55)/6))
1/6
1/(10/(-4))*55/(-11)
2
Calculate (-1)/(((-9)/2)/1).
2/9
4/(24/9)*(-8)/12
-1
Evaluate 2/(-8)*720/(-36).
5
What is ((-70)/20)/(65/(-26))?
7/5
What is the value of 3/(-44)*(880/(-5))/(-22)?
-6/11
What is -2*(32/40)/(-4)?
2/5
Calculate (-3*2/(-6))/((-4)/(-1)).
1/4
8*(18/3)/12
4
(-7)/(-2)*(-16)/14
-4
Evaluate 21/(-21)*3*2/2.
-3
What is the value of 4/(-1)*19/76?
-1
What is the value of ((-28)/(-16))/((-3)/(-12))?
7
What is (12/120)/(1/(-2))?
-1/5
What is (-16)/120*5*6/20?
-1/5
10*10/(-20)*(-2)/(-5)
-2
Evaluate 5*((-6)/3)/2*1.
-5
What is the value of (-2)/(4/3)*910/(-195)?
7
What is ((-4)/(-6*2))/((-3)/(-9))?
1
((-5)/15)/((-14)/42)
1
Calculate (-124)/(-93)*3*2/(-20).
-2/5
Evaluate (1/(-2))/(2*2/16).
-2
(-28)/7*1*(-3)/(-6)
-2
What is the value of ((-12)/9)/((-83)/498)?
8
What is the value of ((20/(-5))/(-4))/(-1)?
-1
Calculate (2*(-4)/(-10))/(28/(-210)).
-6
What is (9/12*-2)/((-3)/4)?
2
Calculate 4/(-51)*3/(-2).
2/17
Evaluate (-3*2/(-24))/((-25)/(-500)).
5
Evaluate (-6)/(-4)*((-112)/12)/(-7).
2
What is the value of 18/27*(27/12)/(-3)?
-1/2
Evaluate 186/496*2*-8.
-6
What is (-3)/(-7)*522/783?
2/7
Calculate -22*((-30)/3)/20.
11
What is (2/(-16))/((-5)/(-10))?
-1/4
Evaluate (280/875)/((-4)/(-5)).
2/5
What is (3/15)/(10/20)?
2/5
What is the value of (24/(-3)*-1)/((-6)/(-3))?
4
What is (-5)/15*3*(-18)/9?
2
What is (-2)/(-3*(-20)/(-30))?
1
Calculate ((-3)/2)/((-1)/4).
6
Calculate 2/((10/(-20))/((-3)/4)).
3
What is the value of (21/(-280))/((-30)/80)?
1/5
What is the value of 4/(((-6)/4)/(99/330))?
-4/5
What is the value of (((-56)/(-20))/14)/((-2)/15)?
-3/2
(198/99)/(5/2)
4/5
What is 176/(-110)*(-15)/(-6)?
-4
Evaluate ((-465)/775)/(2/(-30)).
9
(((-2)/(-1))/(-6))/(9/54)
-2
What is (28/(-42))/((-3)/9)?
2
Calculate (1/(150/(-15)))/((-12)/(-45)).
-3/8
Calculate ((-138)/(-23))/(10/(-1)).
-3/5
-2*4/(-24)*0/10
0
Evaluate 63/(-84)*(-4)/(-12).
-1/4
(-3*(-2)/12)/((-4)/2)
-1/4
What is the value of ((-6)/(-12)*-8)/((-4)/3)?
3
Evaluate -3*(-20)/24*72/(-315).
-4/7
Calculate -4*6/((-96)/(-20)).
-5
Evaluate 1/(-2*6/48).
-4
What is 0*((-2)/(-2))/(4/(-4))?
0
Calculate ((-2)/((-28)/35))/(20/16).
2
Calculate 5/(6/(-54)*-3*3).
5
1/(6/(-4))*55/(-22)
5/3
Evaluate (3/4)/(-15*(-5)/(-120)).
-6/5
3/(18/8)*48/32
2
What is the value of (8/180*3)/((-5)/25)?
-2/3
Calculate -1*2/4*6.
-3
Evaluate (-72)/(-162)*(-3)/2.
-2/3
Calculate (-4)/(-6)*(-69)/(-92).
1/2
Evaluate (48/(-168))/((-8)/(-42)).
-3/2
((-2)/(-14))/((-21)/(-42))
2/7
Calculate (28/14)/((1*10)/(-2)).
-2/5
What is the value of (-3)/(-5)*(-4)/((-48)/(-4))?
-1/5
3/(-3)*0/1
0
Evaluate (10/(-25))/((-18)/5).
1/9
What is 1/((-4)/((-40)/65))?
2/13
Calculate ((-35)/(-10))/((-10)/20).
-7
What is the value of (12/30)/((-2)/(-2))?
2/5
Evaluate (((-600)/(-140))/30)/((-6)/(-28)).
2/3
Calculate -7*44/(-385)*5/14.
2/7
What is ((-2)/6*10)/((-2)/3)?
5
What is the value of ((-9)/(-18))/((-5)/(-180)*2)?
9
What is the value of 2/3*-3*5/(-10)?
1
Evaluate 1/(((12/16)/3)/2
|
{
"pile_set_name": "DM Mathematics"
}
|
47 to the nearest integer?
28341
What is the third root of 4575291386 to the nearest integer?
1660
What is 362143470 to the power of 1/10, to the nearest integer?
7
What is 171145503 to the power of 1/3, to the nearest integer?
555
What is 2493123988 to the power of 1/3, to the nearest integer?
1356
What is 1091343441 to the power of 1/2, to the nearest integer?
33035
What is the eighth root of 79285727 to the nearest integer?
10
What is the cube root of 152774802 to the nearest integer?
535
What is the cube root of 1948800517 to the nearest integer?
1249
What is 1074783391 to the power of 1/5, to the nearest integer?
64
What is the square root of 185069816 to the nearest integer?
13604
What is the cube root of 71079630 to the nearest integer?
414
What is 415963142 to the power of 1/3, to the nearest integer?
746
What is the square root of 375085068 to the nearest integer?
19367
What is the third root of 2502372915 to the nearest integer?
1358
What is 628045682 to the power of 1/8, to the nearest integer?
13
What is 479655194 to the power of 1/3, to the nearest integer?
783
What is the sixth root of 167063666 to the nearest integer?
23
What is 710167460 to the power of 1/2, to the nearest integer?
26649
What is the square root of 160718332 to the nearest integer?
12677
What is 496458916 to the power of 1/10, to the nearest integer?
7
What is the cube root of 116449006 to the nearest integer?
488
What is 1344368944 to the power of 1/3, to the nearest integer?
1104
What is the square root of 4285134736 to the nearest integer?
65461
What is 313978975 to the power of 1/9, to the nearest integer?
9
What is 95867026 to the power of 1/9, to the nearest integer?
8
What is 839142636 to the power of 1/9, to the nearest integer?
10
What is 53122630 to the power of 1/2, to the nearest integer?
7289
What is the square root of 5446171960 to the nearest integer?
73798
What is 3828079 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 1820293931 to the nearest integer?
35
What is the cube root of 6928442989 to the nearest integer?
1906
What is 29871261 to the power of 1/3, to the nearest integer?
310
What is the square root of 2844396899 to the nearest integer?
53333
What is the tenth root of 98740904 to the nearest integer?
6
What is 61260018 to the power of 1/2, to the nearest integer?
7827
What is 39753362 to the power of 1/9, to the nearest integer?
7
What is the square root of 195698856 to the nearest integer?
13989
What is the fourth root of 35119272 to the nearest integer?
77
What is the cube root of 946786208 to the nearest integer?
982
What is the tenth root of 44313750 to the nearest integer?
6
What is 1301443402 to the power of 1/2, to the nearest integer?
36076
What is the cube root of 298875595 to the nearest integer?
669
What is 23532141 to the power of 1/5, to the nearest integer?
30
What is 3908868864 to the power of 1/3, to the nearest integer?
1575
What is 7771808433 to the power of 1/3, to the nearest integer?
1981
What is the square root of 101455426 to the nearest integer?
10073
What is 212821897 to the power of 1/4, to the nearest integer?
121
What is the tenth root of 2195317186 to the nearest integer?
9
What is the third root of 16082619 to the nearest integer?
252
What is 5662871115 to the power of 1/4, to the nearest integer?
274
What is 972722360 to the power of 1/8, to the nearest integer?
13
What is 488781335 to the power of 1/6, to the nearest integer?
28
What is the seventh root of 99709136 to the nearest integer?
14
What is 1383370352 to the power of 1/7, to the nearest integer?
20
What is the square root of 2385802547 to the nearest integer?
48845
What is 179145227 to the power of 1/6, to the nearest integer?
24
What is 245522224 to the power of 1/2, to the nearest integer?
15669
What is the tenth root of 5225430142 to the nearest integer?
9
What is 665736998 to the power of 1/5, to the nearest integer?
58
What is 387573279 to the power of 1/5, to the nearest integer?
52
What is 27135871 to the power of 1/5, to the nearest integer?
31
What is 1103264671 to the power of 1/10, to the nearest integer?
8
What is the fourth root of 303486907 to the nearest integer?
132
What is 194059713 to the power of 1/6, to the nearest integer?
24
What is the seventh root of 5693193969 to the nearest integer?
25
What is 30238157 to the power of 1/2, to the nearest integer?
5499
What is the square root of 5972028357 to the nearest integer?
77279
What is 2257704376 to the power of 1/3, to the nearest integer?
1312
What is 408956337 to the power of 1/2, to the nearest integer?
20223
What is the ninth root of 45681899 to the nearest integer?
7
What is 69226879 to the power of 1/4, to the nearest integer?
91
What is the third root of 53370961 to the nearest integer?
377
What is 503649488 to the power of 1/3, to the nearest integer?
796
What is 491211112 to the power of 1/3, to the nearest integer?
789
What is the third root of 633961721 to the nearest integer?
859
What is 134222767 to the power of 1/3, to the nearest integer?
512
What is 61094029 to the power of 1/2, to the nearest integer?
7816
What is 5586726810 to the power of 1/3, to the nearest integer?
1774
What is the fourth root of 501786505 to the nearest integer?
150
What is 573224082 to the power of 1/2, to the nearest integer?
23942
What is the eighth root of 125667276 to the nearest integer?
10
What is the ninth root of 265314526 to the nearest integer?
9
What is 9095975038 to the power of 1/7, to the nearest integer?
26
What is the eighth root of 11348521 to the nearest integer?
8
What is 284254365 to the power of 1/5, to the nearest integer?
49
What is 60138775 to the power of 1/10, to the nearest integer?
6
What is 2048819311 to the power of 1/8, to the nearest integer?
15
What is the square root of 960145700 to the nearest integer?
30986
What is the ninth root of 1979297313 to the nearest integer?
11
What is 77343249 to the power of 1/5, to the nearest integer?
38
What is 211201839 to the power of 1/3, to the nearest integer?
596
What is the third root of 88725762 to the nearest integer?
446
What is the cube root of 42178 to the nearest integer?
35
What is 2022370120 to the power of 1/8, to the nearest integer?
15
What is the third root of 1616223116 to the nearest integer?
1174
What is the cube root of 210560091 to the nearest integer?
595
What is 1917338459 to the power of 1/5, to the nearest integer?
72
What is the third root of 2790914907 to the nearest integer?
1408
What is 40928547 to the power of 1/2, to the nearest integer?
6398
What is 81302507 to the power of 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
-1046/5 + 8383/40. Is m <= -94?
False
Let g be (-287)/24 + (-6)/(-48). Suppose -6 = -5*l - 71. Is l less than g?
True
Suppose -5*r - n - 11 = 0, 60*r = 55*r - 4*n - 29. Let l = -8 + 0. Is r at most as big as l?
False
Let i = -254 + 271. Suppose -2*h + i = -3*h + 5*t, 5*h = -3*t - 141. Which is greater: h or -111/4?
h
Let i = 625 - 420. Which is smaller: 411/2 or i?
i
Let m be 1034/4 + (-54)/108. Let x = -515/2 + m. Is x < -7?
False
Let w = 1.74 + 256.26. Let o = -149 + w. Is o <= -1?
False
Suppose 5*d - 180 = 3*d. Let k = d + -339/4. Let q(a) = a**3 + 8*a**2 - 9*a + 5. Let u be q(-9). Is u >= k?
False
Let l be (-2)/(-7 + 15/2). Let a be l*2/(4/19). Let w be (-3)/(-2)*(-25 + -1). Which is bigger: w or a?
a
Let z be (-1)/(-24)*6069 - 0. Is z at least 254?
False
Let a be (-55)/20 - (0 - 0). Let g = 1516.7 - 1516.7. Is a at least g?
False
Suppose -5*u - 3*c = 20376, 20382 = -5*u + 74*c - 75*c. Does -4076 = u?
False
Suppose -28208 = -4*b - 5*y, -71*b = -72*b - 5*y + 7067. Is b > 7048?
False
Let i = 35 + 1. Suppose -3*w - i = w. Let c be (0 - -4)*(w - -3)/(-12). Which is greater: 4 or c?
4
Let x be (16/2823)/8*-3. Let h = 2701/57401 - x. Is 2 at most as big as h?
False
Let l = -0.0884 + 1.7064. Which is bigger: 1/3 or l?
l
Let t(j) be the third derivative of -j**4/8 - 19*j**3/6 - j**2. Let v be t(-7). Let x be 44 - 15 - -1*v/2. Does x = 30?
True
Let n(w) = w - 23. Let y be n(22). Is y at least -2/10749?
False
Let h = 275.871 - 276. Let m = h + -4.971. Is -1/2 at most as big as m?
False
Let f(d) = d**2 + 18*d + 22. Let b be f(-7). Let c(a) = -17*a**3 + 3*a - 2. Let w be c(1). Let z(u) = 3*u - 8. Let t be z(w). Which is smaller: b or t?
t
Let d = -0.12 + -16.88. Let c = -5353 + 5352.9. Is c at most as big as d?
False
Suppose 4 - 10 = -6*r. Suppose -3*z - 9 = 0, 5*f + 2*z - 5 = -r. Suppose 0 = 3*g + 15, f*c + 4*g + 22 = -10. Which is bigger: -4 or c?
-4
Let g be (-394)/(-8) + (-3)/(-4). Suppose -37*z = -g*z + 3471. Which is bigger: 268 or z?
268
Let f = -2459 - -5432. Let q = 2975.991 - f. Let s = q + 0.009. Is -0.5 greater than s?
False
Let k = -282008/1507623 + 192/1247. Is k >= 1?
False
Let o be -8 - (4 + -6 + 6). Let z be (0 - o/(-30))/(1/55). Is z < -116/5?
False
Let l(z) = z**2 - 16*z + 11. Let x be l(15). Let m(k) = -2*k + 15. Let h(b) = 4*b - 31. Let y(i) = x*h(i) - 7*m(i). Let s be y(8). Is 3 > s?
False
Suppose 19*q = -8720 - 4884. Let v = q - -716. Is v <= -377/3?
False
Suppose 26 = g + 4*q - 7*q, -5*g + 172 = -q. Let b be 42/(-98) + 14645/g. Which is greater: b or 419?
419
Let i be (-76)/(-8) - 1*3/6. Suppose i*c = -92 - 7. Suppose 3*u + 2*b = -13, 0 = 8*u - 4*u - 2*b - 6. Is c >= u?
False
Let o be 1*15*(3 - 2). Let s = o - 6. Let h be (45/3 - 2)/(-7 - 18/45*-20). Which is smaller: h or s?
s
Let j = 22314 - 85708075/3841. Which is bigger: j or 1?
1
Suppose 17042*t = 17038*t - 4. Is -2/3327 >= t?
True
Let w = 422 + -423. Let a = 23 + -19. Suppose o = 4*o + 4*t, t = -a*o. Which is greater: w or o?
o
Let j be (7 + 1)/(175/(-11900)). Is j greater than or equal to -544?
True
Let z(u) = -u**2 - 5*u - 9. Let h be z(-6). Let g be (-6)/15*h/1. Let r be g/5*(0 - (-8)/(-60)). Do r and 0 have different values?
True
Let j = -2 - -4. Let v = 149.10861 + -0.10861. Which is bigger: v or j?
v
Let y = -4331 + 43463/10. Let k = y - 509/30. Which is greater: k or -16?
k
Suppose 6 = -2*k, 4*h - 5*k - 23 = -0*h. Let j = 286 + -1992/7. Is h at least j?
True
Let n = -802933/258 - 304/129. Is -3114 greater than or equal to n?
True
Let n = -306 + 301.58. Let w = -3.9 - n. Which is smaller: w or 4?
w
Let n = -0.45509 - 0.54491. Let o = 1 - 11. Let k = o - -19. Which is greater: k or n?
k
Let u be 50/55 - (38 + 5880/55). Suppose 3*a - 4*v + v = -426, a + 4*v + 152 = 0. Is a at most u?
True
Let m = -8908.2 - -8908. Which is greater: 48 or m?
48
Let a be (-5)/800*(3 - (-33)/(-12)). Let m be 9*10/(-180) - (-6)/4. Is m equal to a?
False
Suppose 0 = -10*j + 11 + 9. Suppose 5*c - j*p + 716 = 0, c + 3*c + 2*p + 580 = 0. Is c at least as big as -144?
True
Suppose 3*h - 48 = 5*f - 40, 3 = -2*h - 5*f. Let w = 449 + -97435/217. Are h and w non-equal?
True
Let i = -16.79 + 182.69. Let o = -166 + i. Does -8 = o?
False
Let b = -2092439/1956 - -4279/4. Is -1 at least b?
False
Suppose q = 4*u - 5, 0*u + 5*u + 2 = 4*q. Let i = -57 + 59. Suppose -36 + 42 = i*s. Is s at least as big as q?
True
Suppose 17*t - 12*t - 23 = 2*p, p - 26 = -5*t. Which is greater: 13/1530 or p?
p
Let g = -129
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let k(c) be the first derivative of -2*c**3/3 - 233. Calculate u(k(d)).
-18*d**2
Let r(h) = 5*h + 3*h + 2*h - 11*h. Let t(a) = a - 3. Let s(p) = p - 1. Let f(k) = -6*s(k) + 2*t(k). Give f(r(z)).
4*z
Let q(r) = 50*r**2 + 2. Let a(k) = 2*k - 4. Let v(m) = 7*m - 12. Let o(g) = -3*a(g) + v(g). What is o(q(p))?
50*p**2 + 2
Let u(t) = 8*t. Let g be 3 - (-2 + (4 - 1)). Let r(n) = 37*n**2 - 12*n**g - 23*n**2. What is r(u(i))?
128*i**2
Let h(b) be the first derivative of 6*b**3 + 610. Let j(t) be the first derivative of t**2 + 1. Give h(j(c)).
72*c**2
Let w(q) be the first derivative of -13*q**3/3 + 180. Let s(k) = -10*k**2. Determine s(w(v)).
-1690*v**4
Let k(p) = p**2 + 4*p - 10. Let t be k(-6). Let b(n) = -372*n**t + 191*n**2 + 199*n**2. Let u(d) = -d. What is b(u(j))?
18*j**2
Let l be 5*(52/(-20) + 3). Let b(q) = l*q**2 - 4*q**2 - 11*q**2 + q**2. Let w(u) = -2*u**2. Give b(w(s)).
-48*s**4
Let i(t) be the first derivative of -t**2 + 1. Let b(x) = -24*x. Let f(u) = -8*u. Let h(s) = -3*b(s) + 8*f(s). Give i(h(w)).
-16*w
Let l(b) = -7*b + 2*b - 3*b + 6*b. Let g(p) = 65*p. Give l(g(a)).
-130*a
Let o(d) be the second derivative of -d**3/3 - 75*d. Let n(j) be the third derivative of 5*j**4/8 - 3*j**2. Calculate n(o(l)).
-30*l
Let f(t) = 2*t. Let a(p) = 11*p**2 + 451*p. Calculate a(f(d)).
44*d**2 + 902*d
Let r(y) be the first derivative of y**3/3 - 4. Let b be (-2)/9 - 40/(-18). Let w(p) = b*p + 0*p - 4*p. Calculate r(w(h)).
4*h**2
Let b(x) = 697*x. Let o(z) = -102*z**2. Give b(o(p)).
-71094*p**2
Let v(y) = -29*y + 4. Let h(k) = -84*k + 14. Let d(l) = 2*h(l) - 7*v(l). Let q(r) = 2*r**2. Calculate q(d(c)).
2450*c**2
Let q(d) be the second derivative of -13*d**4/6 - d**3/3 - 248*d. Let a(x) = -2*x**2. What is a(q(c))?
-1352*c**4 - 208*c**3 - 8*c**2
Let f(o) = 17*o. Let b(i) = -2420*i**2. Give b(f(a)).
-699380*a**2
Let l(y) = -45*y**2 + 9*y. Let v(n) = -12*n**2. Determine l(v(f)).
-6480*f**4 - 108*f**2
Let f(d) = -53*d - 17. Let q(v) = 35*v + 18. Let z(o) = 2*f(o) + 3*q(o). Let j(x) = 10*x. What is j(z(l))?
-10*l + 200
Let x(w) = -3*w. Let q be (118*(-21)/(-6))/1. Let h(a) = 418*a**2 + 1 - q*a**2 - 1. Give h(x(i)).
45*i**2
Let r(s) = -14*s - 9*s - 13*s - 10*s + 56*s. Let h(j) be the third derivative of j**5/30 - j**2. Give r(h(i)).
20*i**2
Let o(c) be the third derivative of 1/6*c**4 + 0 + 0*c**3 + 0*c + 2*c**2. Let n(f) be the first derivative of f**2/2 + 18. Determine o(n(s)).
4*s
Let i(y) = 5 + 9*y - 5. Let u(h) = 44*h - 1. Let n(j) = 84*j - 2. Let v(d) = -n(d) + 2*u(d). Calculate v(i(w)).
36*w
Let g(x) = 74*x + 11. Let j(p) = -37*p - 6. Let o(w) = 6*g(w) + 11*j(w). Let q(f) = -f. Calculate q(o(i)).
-37*i
Let k(c) = c**2. Let u(q) = q**2 + 1. Let s = -56 + 55. Let h(b) = -15*b**2 - 9. Let o(f) = s*h(f) - 9*u(f). Determine k(o(a)).
36*a**4
Let j(g) = 167*g - 6. Let r(d) = 821*d**2. What is j(r(f))?
137107*f**2 - 6
Let c(s) = -21*s + 2. Let n(a) = -7*a**2 - 136. Calculate c(n(o)).
147*o**2 + 2858
Let y(n) = 3*n**2. Suppose 2*f - 82 = 2*g + f, g + 23 = -4*f. Let r(z) = 26*z - 39. Let i(c) = 1. Let p(x) = g*i(x) - r(x). Calculate p(y(a)).
-78*a**2
Let j(z) be the first derivative of -3*z**2 - 15. Let b(o) = -o. Let c(s) = -5*s. Let r(u) = 6*b(u) - c(u). What is r(j(y))?
6*y
Let a(y) = -2*y**2 + 0*y**2 + 2*y + 7*y**2 + y**2 + 4*y. Let t(m) = 17*m. Calculate a(t(i)).
1734*i**2 + 102*i
Let f(c) = c. Let t(n) be the first derivative of 69*n**2/2 + 13. Let x(p) = 46*f(p) - t(p). Let w(b) = 2*b. Give w(x(m)).
-46*m
Let h(m) be the third derivative of 0*m**3 + 0*m - 2*m**2 + 0 - 11/24*m**4. Let q(j) be the first derivative of -j**3/3 - 45. Determine q(h(u)).
-121*u**2
Let b(v) = -9936*v**2. Let k(w) = -2*w. What is b(k(u))?
-39744*u**2
Let i(p) = -1. Let o(q) = -13*q + 3 + 13*q + q**2. Let d(k) = 2*i(k) - o(k). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
value? (a) 0 (b) r (c) u
b
Let r = -16 + 16. Suppose r*y - 4*y = 0. Suppose y = -5*k, -k = -u - 4*u - 40. Which is the third smallest value? (a) -2 (b) 3/5 (c) u
b
Let p = -12604 - -12605. Which is the fourth biggest value? (a) 3 (b) -0.4 (c) -310 (d) p (e) -0.2
b
Let v = -301 - -3309/11. Let p = 5396 + -59354/11. Let o be (-2)/3 - (-39)/(-9). Which is the third biggest value? (a) v (b) p (c) 5 (d) o
a
Let z = 1.49 + -0.49. Let c = 0.9009 - 4.9009. Suppose 5*d - 2 = -17. What is the second smallest value in d, z, c, 0.1?
d
Let r be 28/(-60) + ((-520)/(-39))/20. Let p = 5.9 + 2.9. Let w = p - 9. Which is the second smallest value? (a) w (b) r (c) 2/11
c
Let a = -0.435 + 0.035. Let q(d) = -d**3 + 12*d**2 - 37*d - 8. Let s be q(7). What is the fourth smallest value in a, -3/8, 0, s?
0
Let z = 7.8 + -1.8. Let l = -10559/17 - -621. What is the smallest value in z, l, -1/2, -5?
-5
Suppose 91*p - 44*p = 62*p + 330. Which is the third smallest value? (a) p (b) -3/4 (c) 75
c
Suppose -4*k = x - 129, -604*k + 605*k - 3*x - 16 = 0. Which is the fourth smallest value? (a) 2/5 (b) k (c) 1/3 (d) 5
b
Let x be (-1017)/(-1130)*(334/4 + -1). Let l = -75 + x. Which is the biggest value? (a) l (b) 1/2 (c) 7/5
c
Let d = -26951 - -26952. Which is the smallest value? (a) 1/7 (b) d (c) 1/74
c
Let v = 230.5 + -232. Which is the smallest value? (a) 0.1 (b) -4/53 (c) v
c
Let v = -3889 + 3935. Which is the second biggest value? (a) v (b) 1 (c) 0.2 (d) -2
b
Let b = 1.02639 + -0.02639. Let g = 5.02 + -5. What is the third smallest value in g, 0, b?
b
Let g = 299.4 - 334. Let n = g + 34. Let y = -12 - -12.4. What is the second biggest value in n, 1/3, y?
1/3
Let t = -3/187 - 172/935. Let u = -225 - -225.25. What is the second biggest value in u, -2, t?
t
Let u = -0.0235 - -0.1035. Suppose -5*r = -x - 3, 0 = -5*x - 2*r + 6*r - 15. Which is the smallest value? (a) u (b) -0.3 (c) x (d) -1
c
Let j = -4895 + 4894.5. What is the third smallest value in 3, 7/5, j, 1/6?
7/5
Let k = -9 - -15. Let g = 28 - 32. Let r = -3 + 3.4. What is the fourth smallest value in r, 0, g, k?
k
Let h = 17 - 17.9. Let n = 3.1 - h. Suppose 0 = 3*x + m + 1249 - 1246, -5 = 5*x + 5*m. Which is the biggest value? (a) 10 (b) 5 (c) x (d) n
a
Let d = 19.5 + -21.46. Let b = d + 2.03. What is the third smallest value in 4, 3, b?
4
Let n = -5.71 + 6.99. Let z = -0.88 + n. Suppose 0*u + u = 1. Which is the fourth smallest value? (a) -0.2 (b) u (c) 2 (d) z
c
Let p(g) = 2*g**2 + 31*g + 89. Let j be p(-4). Which is the smallest value? (a) 0.7 (b) j (c) -3/2 (d) -0.1
b
Suppose -5*z - 37 = -3*x, 4*x - 10 = 6. Let p = -155 - -155.12. Which is the third biggest value? (a) p (b) z (c) -2/9
b
Let x = 0.0234 + 3.9766. What is the second smallest value in x, 0.1, -0.9, 2/5?
0.1
Let p = 4605 - 4605.4. What is the third biggest value in 3/5, -3/4, p?
-3/4
Let h = -170488/7 - -24355. Let f = 12 + -7. Which is the fourth biggest value? (a) 0 (b) f (c) h (d) -1
d
Let j = -7/27 + -2/27. Let p = -12 + 8. Let t = 65 + -62. What is the smallest value in j, t, p?
p
Let x = -31602 - -31602.6. Let a = 58/915 + -12/61. Let r = 5.2 + -5. What is the fourth biggest value in 3, a, r, x?
a
Let t = 2 - 2. Let u(s) = -16*s - 74. Let p be u(-3). Let a = p - -22. What is the third smallest value in t, a, 3/5?
3/5
Let m = 349 + -184. Let y = m - 158. What is the third biggest value in -3/2, y, 0.4?
-3/2
Suppose 9 = z + 2*c, 4*z - 5 = -5*c + 16. Let f be -1 + 1 + z/(-6). Let l be 10/(-4)*(-12)/(-10). What is the third smallest value in f, 4, l?
4
Let p = -196.3 - 9.2. Let r = p + 206. Which is the fourth smallest value? (a) 2 (b) 5 (c) r (d) 10
d
Let y = -40.68 - -42.68. Let q = 0.2 - 0.6. Let v = q - 0.1. Which is the biggest value? (a) -1 (b) y (c) v
b
Suppose 0 = 25*z - 29*z + 912. Let j = z - 4334/19. Which is the third biggest value? (a) j (b) 0.05 (c) 1/2 (d) 4/5
b
Suppose 0 = 975*j - 964*j - 44. Which is the second smallest value? (a) -3 (b) -8/13 (c) 7 (d) j
b
Let q = 1.43 + -1.93. Let n = 11.15 + -11.1. What is the biggest value in n, -2, q?
n
Let o = 8248.9 + -8249. Suppose 3*r + 8 = -q - q, 0 = 4*q + 3*r + 16. What is the biggest value in -2, q, o, -0.07?
-0.07
Let s(i) = 2*i**2 + 7*i + 2. Let a be s(-4). Let h be -3 + 177/30 - a/(-60). What is the third smallest value in 21, 0, h?
21
Let m = -0.09
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from {a: 2, g: 1, s: 1, z: 8, m: 1, t: 2}.
2/105
Two letters picked without replacement from mvcrrcmmlrrrvmcrzll. Give prob of picking 2 m.
2/57
Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {v: 4, u: 5, m: 2, b: 1, o: 1, h: 7}.
1/19
What is prob of picking 3 t when three letters picked without replacement from tqttwqtqut?
1/12
Two letters picked without replacement from mmibbiimbrmm. What is prob of picking 2 m?
5/33
Four letters picked without replacement from {v: 1, p: 3, u: 5}. Give prob of picking 1 v, 2 p, and 1 u.
5/42
Calculate prob of picking 2 z when two letters picked without replacement from yzyzyzyyyyzyyyzyzy.
5/51
What is prob of picking 3 g when three letters picked without replacement from {g: 19, l: 1}?
17/20
Two letters picked without replacement from {m: 1, x: 11, p: 7}. What is prob of picking 1 p and 1 x?
77/171
Calculate prob of picking 1 x, 1 a, and 1 w when three letters picked without replacement from kxwvaxawxvxavwx.
9/91
Four letters picked without replacement from {e: 2, w: 3, a: 1, u: 2, h: 4}. Give prob of picking 1 a and 3 w.
1/495
Three letters picked without replacement from yydyuuydduy. What is prob of picking 1 d, 1 u, and 1 y?
3/11
What is prob of picking 4 s when four letters picked without replacement from vssvsgvvvgvvsg?
1/1001
What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkklklkkklklk?
455/1292
Three letters picked without replacement from zxdzxxzdzzxxddxddzd. Give prob of picking 3 d.
35/969
Two letters picked without replacement from ffffkfkffff. What is prob of picking 2 f?
36/55
Two letters picked without replacement from {i: 6, g: 5, s: 1, c: 4}. Give prob of picking 1 s and 1 i.
1/20
Two letters picked without replacement from jsxjjgsyaayasgjayjjs. Give prob of picking 1 s and 1 j.
12/95
Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {a: 2, t: 6, m: 7}.
6/91
Calculate prob of picking 1 u, 1 q, 1 z, and 1 x when four letters picked without replacement from {z: 1, y: 1, q: 2, x: 1, u: 2}.
4/35
Two letters picked without replacement from {y: 1, c: 7}. What is prob of picking 1 y and 1 c?
1/4
What is prob of picking 1 v, 1 p, and 1 k when three letters picked without replacement from {k: 1, c: 1, v: 1, p: 1, j: 1}?
1/10
Calculate prob of picking 1 p and 1 j when two letters picked without replacement from jpk.
1/3
Two letters picked without replacement from xpxcpxssspsxx. Give prob of picking 1 p and 1 s.
2/13
What is prob of picking 1 l and 1 h when two letters picked without replacement from hhlh?
1/2
Four letters picked without replacement from oooolvoolovo. Give prob of picking 2 l, 1 v, and 1 o.
16/495
Four letters picked without replacement from hbpppbcbbbchcbcbb. Give prob of picking 2 c and 2 h.
3/1190
Three letters picked without replacement from {i: 1, j: 1, e: 4, r: 2, m: 3}. Give prob of picking 2 e and 1 m.
6/55
Calculate prob of picking 1 c, 1 i, 1 k, and 1 l when four letters picked without replacement from ccllqkqi.
2/35
Two letters picked without replacement from jxjxjxxxxj. What is prob of picking 2 x?
1/3
Two letters picked without replacement from mmbaaembmmmhmm. What is prob of picking 1 b and 1 m?
16/91
Three letters picked without replacement from {y: 1, t: 1, a: 1, o: 1, w: 1, m: 2}. What is prob of picking 1 y and 2 m?
1/35
What is prob of picking 1 z, 1 q, 1 v, and 1 n when four letters picked without replacement from qnuuvjnuuuvuuzuuvu?
1/510
Calculate prob of picking 1 d, 1 a, and 1 l when three letters picked without replacement from ddaal.
2/5
Three letters picked without replacement from kbkhkkbbbbkbbk. Give prob of picking 1 b, 1 h, and 1 k.
3/26
What is prob of picking 2 x and 1 z when three letters picked without replacement from {x: 5, z: 3, j: 3, l: 1}?
3/22
What is prob of picking 1 o, 1 n, and 1 w when three letters picked without replacement from {p: 1, n: 2, w: 2, o: 1}?
1/5
What is prob of picking 1 r, 1 n, and 2 l when four letters picked without replacement from njlnrnrnrl?
2/35
Two letters picked without replacement from {z: 2, i: 1, p: 1}. What is prob of picking 2 z?
1/6
Two letters picked without replacement from {i: 7, v: 7}. Give prob of picking 2 v.
3/13
Two letters picked without replacement from nnuuunnunuunnnunuu. What is prob of picking 2 u?
4/17
Calculate prob of picking 1 v, 1 y, and 1 r when three letters picked without replacement from vryv.
1/2
Calculate prob of picking 1 b and 2 h when three letters picked without replacement from bphxphw.
1/35
Calculate prob of picking 1 t, 1 k, and 2 b when four letters picked without replacement from attttkttabbttt.
9/1001
Three letters picked without replacement from yalfafayyaflylyaa. What is prob of picking 3 a?
1/34
Three letters picked without replacement from vvvqkqqvvqqvkvvvvav. Give prob of picking 1 q and 2 k.
5/969
What is prob of picking 1 a, 1 c, and 1 l when three letters picked without replacement from clccttataatya?
6/143
Calculate prob of picking 1 j, 2 c, and 1 y when four letters picked without replacement from jjcyyycjyccjcjc.
20/91
What is prob of picking 4 n when four letters picked without replacement from {a: 5, n: 4, d: 5}?
1/1001
Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {k: 2, o: 6, q: 3, w: 2, z: 1}.
12/91
Four letters picked without replacement from {a: 1, e: 8, o: 6}. What is prob of picking 3 o and 1 e?
32/273
What is prob of picking 3 m and 1 d when four letters picked without replacement from kkzzkzkmkdmmzk?
1/1001
Four letters picked without replacement from {n: 1, i: 3, z: 2, f: 1}. Give prob of picking 3 z and 1 f.
0
Two letters picked without replacement from ttutttttut. Give prob of picking 2 u.
1/45
Calculate prob of picking 1 m and 1 d when two letters picked without replacement from gmtwqmdt.
1/14
What is prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, u: 5, b: 3, j: 3, t: 1, d: 1}?
3/91
Calculate prob of picking 2 p and 1 e when three letters picked without replacement from eppeee.
1/5
What is prob of picking 1 k and 1 v when two letters picked without replacement from {e: 2, v: 1, n: 2, z: 1, f: 5, k: 2}?
1/39
Three letters picked without replacement from swjfjsfsjwswfjrpwjsj. Give prob of picking 1 r, 1 s, and 1 j.
1/38
Three letters picked without replacement from wssuou. Give prob of picking 2 s and 1 w.
1/20
Three letters picked without replacement from lll. What is prob of picking 3 l?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
l*(x - -1)*1. Is 3/7 < w?
False
Let s = 1107 - 3350/3. Which is greater: s or -11?
s
Let x = -5 + 6. Which is bigger: -1 or x?
x
Let c = 19 + -14. Suppose -y + 2*y - c*l = -7, -y + 4*l = 5. Let h(v) = v**2 - v. Let r be h(2). Which is smaller: y or r?
r
Suppose -2*n = -0*n - 4. Let b = 121 + -123. Which is bigger: n or b?
n
Suppose -4*l - 2 = -4*w + 22, 5*l = -5*w + 20. Are 2/7 and l non-equal?
True
Let a(u) = -u - 7. Let b be a(-10). Let c be 2*12/b - 0. Which is greater: c or 7?
c
Suppose -3*j - 3 + 6 = 0. Let y(z) = -z**3 + 4*z**2 + 5*z - 2. Let i be y(4). Let k be (1 - 14/i)*-2. Is j at least as big as k?
True
Let y = -628 + 1097. Let v = -11727/25 + y. Which is bigger: v or 1?
1
Let k = -0.143 + 0.043. Let p = -4 + 8. Which is greater: p or k?
p
Let g be 1/((-4)/(-1) + -3). Let t(p) = 3*p**2 - 3*p + 1. Let h be t(g). Let z = 73/2 - 35. Which is bigger: z or h?
z
Let n be 5/20 + (-6)/88. Let c = 1/142 + 277/994. Which is greater: n or c?
c
Let n be 9*(8/12 - 1). Which is smaller: -22/9 or n?
n
Let k be ((-8)/(-10))/((-12)/30). Let v be ((-36)/(-48))/(1*(-3)/2). Is v < k?
False
Let i = -1.06 - -0.32. Let k = i + 0.7. Let c = k - -0.14. Which is smaller: c or -5?
-5
Let c be 159/630 - 2/4. Let q = c + -3/35. Which is bigger: q or 0?
0
Suppose 2*k = 4 + 4. Suppose k*m = -0*m. Which is smaller: -2 or m?
-2
Let v = -279/4 - -70. Is 0.1 less than v?
True
Suppose 0*c + 23 = -4*c + 5*q, c + 3*q + 27 = 0. Which is smaller: -10 or c?
c
Let p = 22 + -177/8. Are -1 and p equal?
False
Let u = 0.15 + 0.05. Is -4 less than or equal to u?
True
Suppose -5 = -l - 0*l. Suppose 5*y - 5 + 15 = 5*a, -l*y = -2*a + 7. Which is greater: -5/9 or y?
-5/9
Let d be ((-42)/4)/(-7)*-4. Let x be (0 + 1)/(d/(-6)). Which is smaller: 3/4 or x?
3/4
Let x(w) = 6*w + 17. Let z(j) = 7*j + 18. Let q(h) = 6*x(h) - 5*z(h). Let o be q(-9). Which is greater: 2 or o?
o
Let u = 4 - 2. Suppose -u*q - 10 = -3*f, q = f + 3*q + 10. Which is greater: 1/2 or f?
1/2
Let r be -3*(1 - 2) + 1. Let g = r - 3. Let p be (-1 - 1)*10/(-16). Is g <= p?
True
Let v(f) = f**2 + 3*f + 2. Let l be v(-2). Let z(c) = -c + 7. Let t be z(6). Does t = l?
False
Let i be -1 + 3 + 1/(-2). Suppose 2*v - 4*m = 12 - 0, 2 = -4*v - 5*m. Suppose -w + 1 = -v. Is i at least w?
False
Suppose 0 = -2*x + 4*x. Suppose -3*f - 72 + 225 = x. Let z = f + -203/4. Is -2 != z?
True
Let n = 10 - 6. Suppose -31 = -n*x - 7. Which is bigger: 7 or x?
7
Suppose 4*s + 6 = 10. Is s at most as big as -8?
False
Let m = 11 - -1. Is 6 greater than or equal to m?
False
Let z = 26.871 - -0.129. Which is greater: 1 or z?
z
Let y be ((-84)/16)/3 - 2/8. Do y and -17 have the same value?
False
Let t = -38.8 - -26.9. Let k = 12 + t. Are 6 and k equal?
False
Let g = -0.08 + -0.14. Let w = 2.22 + g. Which is greater: w or 0.8?
w
Suppose -4*y - 658 = 42. Let v = y - -1573/9. Are v and 1 non-equal?
True
Let p(d) = d + 7*d**2 - 3 + d**3 + 4 + 2. Let q be p(-7). Let w be 1/q + 1/4. Which is greater: 3/7 or w?
3/7
Let o = -3/2488 + -18639/17416. Is 0 >= o?
True
Suppose 146 - 62 = -4*z. Let w be (-36)/z + 4/14. Let v be ((-1)/w)/((-6)/8). Which is greater: v or 2?
2
Suppose 0 = -2*v - 0*v - 6. Let y = 23 + v. Let a be (y/(-75))/(1/5). Which is smaller: a or 0?
a
Let m be (-40)/87 + 52/78. Are m and 0 non-equal?
True
Let y = -4 + 8. Let m = -3 + y. Let x = m + -2. Is 1/5 bigger than x?
True
Let r be (3/(-189))/((-2)/(-806)). Let c = r + 44/7. Which is greater: c or 2/7?
2/7
Let z be (-9)/(-2) + (-16)/32. Is -3 at most z?
True
Let b = 18 - 12. Suppose 4*m - 12 = -4*w, w - 3 = -m + b*m. Let p(c) = c + 11. Let g be p(-8). Is w smaller than g?
False
Let f = -6182/15 + 412. Let l be (-14)/120 + 1/(-4). Let s = f + l. Do 0.02 and s have the same value?
False
Let a be (0 + 2)*4/(-20). Which is smaller: a or -0.15?
a
Let a = -17 + 8. Which is smaller: a or -0.2?
a
Suppose -5*a + 54 = 5*v - 21, 0 = 4*v + 5*a - 60. Suppose 5*y + 4*l + 0 = -3, 0 = -5*l + v. Let m = -2 - y. Which is smaller: 3 or m?
m
Let f = 0.02 + -2.02. Let o = f + 2.5. Let n = o + 1.5. Is -2/7 smaller than n?
True
Let m be (-1063)/(-660) - (-4)/(-2). Let n = 9/20 + m. Which is bigger: n or -1?
n
Let z = -14 + 9. Let q = z + 3. Is -2/3 at most as big as q?
False
Let f = -0.82 - -0.7. Which is smaller: 1/2 or f?
f
Let h be ((-2)/((-10)/1))/1. Suppose -4*m - 4 = -3*u, 4*m - 8*m = 2*u + 4. Is h less than m?
False
Let y be 60/(-12) + 1 + 3. Is y <= -2/3?
True
Suppose 3*j = -12 + 30.
|
{
"pile_set_name": "DM Mathematics"
}
|
ng u is positive.
u**(-15)
Simplify (m*m**(-35))/((m**(-5/9)*m)/m) assuming m is positive.
m**(-301/9)
Simplify (c*c**(-36)*c)/c*c*c*c/(c/c**(-6/11)) assuming c is positive.
c**(-369/11)
Simplify m**(2/33)/(m/(m**(-4)/m)*m)*(m**(-1)/m*m*m)**(8/5) assuming m is positive.
m**(-229/33)
Simplify (x**2/(x*x/x**(-2/11)*x))/(x**(-1/2))**(-4/5) assuming x is positive.
x**(-87/55)
Simplify w**2/w**(-6/17) assuming w is positive.
w**(40/17)
Simplify (u**16*u*u*u**(-1)/u)**(-43) assuming u is positive.
u**(-688)
Simplify ((a**2)**34)**(-5) assuming a is positive.
a**(-340)
Simplify (f**(-9/4)/((f*f**(-7/3))/f))**(3/2) assuming f is positive.
f**(1/8)
Simplify q**(-2/7)*q*q*q**(1/17)*q assuming q is positive.
q**(330/119)
Simplify ((g/((g*(g**(-3)/g)/g*g*g)/g))/(g*g/g**(2/5)*g))/(g*g*g**(-2/5))**36 assuming g is positive.
g**(-281/5)
Simplify (b/(b/b**(-4/15)))**(1/6) assuming b is positive.
b**(-2/45)
Simplify i**(-7)*i*i/i**(-3/5)*i**(-2/3)*(i/((i/(i*(i**(-5)/i)/i))/i))/i assuming i is positive.
i**(-166/15)
Simplify (o/o**(-9)*o)/(o**(-1/6)*o*o*o)*(o**(2/5))**(-4/23) assuming o is positive.
o**(5587/690)
Simplify (x/(x*x/(x*(x*x**(-1)*x*x)/x))*x)/((x*x*x**(1/9))/x) assuming x is positive.
x**(8/9)
Simplify ((t/t**(-5/4))**(-38))**(-30) assuming t is positive.
t**2565
Simplify u**(31/5)*(u/u**34)/u assuming u is positive.
u**(-139/5)
Simplify ((b*b**(3/4))/b**(-2/5))/((((b/b**(-1/10)*b)/b)/b)/((b**(1/3)*b*b)/b)) assuming b is positive.
b**(203/60)
Simplify w**(-29)*w*(w**(3/4)*w)/w*w assuming w is positive.
w**(-105/4)
Simplify (g/g**1)**12/((g**(-2/27)*g)/((g/(g**(2/11)/g))/g)) assuming g is positive.
g**(-32/297)
Simplify (q**(2/13)/q**(-5))/(((q**(-2/21)*q*q*q)/q)/q*q**6) assuming q is positive.
q**(-478/273)
Simplify ((o*o/o**(-7))/o)**(-38) assuming o is positive.
o**(-304)
Simplify (d**(2/9))**(-6/25) assuming d is positive.
d**(-4/75)
Simplify (a*a**0*a*((a/(a*a**(1/6)))/a)/a)/((a**1*a*a)/(a*a/a**6*a*a*a)) assuming a is positive.
a**(-25/6)
Simplify (p/p**(2/7))/p*p*p**(-7)/p*(p/p**(-1/2))**(-50) assuming p is positive.
p**(-576/7)
Simplify s*s**(-2/5)*s/(s**(-6/23)/s) assuming s is positive.
s**(329/115)
Simplify p**(-4/3)/(p/(p/(p/(p*p**16*p)*p))) assuming p is positive.
p**(44/3)
Simplify m**4*m*m**(4/5)/m*m/((m*m*m**(-2/3))/m)*m*m**7 assuming m is positive.
m**(202/15)
Simplify (((d/d**(-34))/d)/d)/(d*(d/(d*(d/d**(-35))/d*d*d))/d) assuming d is positive.
d**70
Simplify n**(-2/3)/n**(-4)*(n/n**(4/3))/(n*n/n**(-9)) assuming n is positive.
n**(-8)
Simplify (p*p/p**(-3/7)*p*p**(2/17))**29 assuming p is positive.
p**(12238/119)
Simplify r**(-20)/r**20 assuming r is positive.
r**(-40)
Simplify (((p*p**8)/p)/p)/(p*p**8) assuming p is positive.
p**(-2)
Simplify ((r/(r**(-7)*r))/r)**5 assuming r is positive.
r**30
Simplify (u/(u**(-2/5)/u)*u)**(1/5)/(u*u**(-2/5)*u*u)**(1/5) assuming u is positive.
u**(4/25)
Simplify (z**(-2)*z**(-1/3))/(z**(1/13)/z**8) assuming z is positive.
z**(218/39)
Simplify (((m/(m**(7/3)*m))/m*m)/m*m*m/(m/(m*m/m**5)))**(-16) assuming m is positive.
m**(256/3)
Simplify (f/(f*f/((f*f/(f/(f/(f/f**(-2/9))))*f)/f)))/f*f*f**(-1/6)*(f**(-1/3))**12 assuming f is positive.
f**(-79/18)
Simplify (((n**(-4/3)*n)/n)/n)**(-1/6) assuming n is positive.
n**(7/18)
Simplify (l**7/l**(3/4))/(l/(l*(l/(((l/(l/(l/(l*(l/l**6)/l))*l*l*l))/l)/l))/l)*l**1) assuming l is positive.
l**(17/4)
Simplify ((a**(-1/4)/a)/a)**(-26)/((a/a**(2/17))/a**(-1/4)) assuming a is positive.
a**(3901/68)
Simplify ((v/(v**(2/3)*v))**(1/20))**(-1) assuming v is positive.
v**(1/30)
Simplify (r**0/r)**(-5)/(r/(r**4/r)*r**(-5/4)*r) assuming r is positive.
r**(29/4)
Simplify (p/p**(1/9)*p*p*p*p**(1/3))/(p/p**(-1/4))**39 assuming p is positive.
p**(-1603/36)
Simplify (m**3/m)/(((m/(m/((m*(m**(-2/21)*m)/m*m)/m)))/m)/m) assuming m is positive.
m**(65/21)
Simplify ((n/(n**(2/5)/n)*n)/n)/(n*n*n**(-5))*(n*n**(-2/3))**(-1/4) assuming n is positive.
n**(271/60)
Simplify w**(-20)*w/(w*w**(12/11)*w) assuming w is positive.
w**(-243/11)
Simplify (w**(-4/5)/(w**(-1/9)/w*w))/(w*w*w**(-1)*w)**9 assuming w is positive.
w**(-841/45)
Simplify ((v**(-1))**(-42))**(-1/38) assuming v is positive.
v**(-21/19)
Simplify b**(-2)*b**1*b assuming b is positive.
1
Simplify ((g/(g/(g*g/((((g/(g*g/((g/(g/((g/(((((g/(g/g**(1/14)*g))/g)/g)/g)/g))/g)*g*g)*g)/g)))/g*g)/g)/g))))/g**(2/17))**19 assuming g is positive.
g**(8835/238)
Simplify (w**(-5/2)*w/(w**(-5)*w*w))**(-9) assuming w is positive.
w**(-27/2)
Simplify (d**(1/7)*d/(d**(3/8)/d*d)*d)/(d**(-2)*d*d/d**(2/3)) assuming d is positive.
d**(409/168)
Simplify g**(-13)*g**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
9 is divided by 43?
36
What is the remainder when 211 is divided by 27?
22
What is the remainder when 133 is divided by 11?
1
What is the remainder when 923 is divided by 33?
32
What is the remainder when 1083 is divided by 109?
102
Calculate the remainder when 229 is divided by 10.
9
Calculate the remainder when 78 is divided by 28.
22
Calculate the remainder when 376 is divided by 48.
40
Calculate the remainder when 248 is divided by 133.
115
What is the remainder when 87 is divided by 83?
4
Calculate the remainder when 2442 is divided by 143.
11
What is the remainder when 201 is divided by 23?
17
What is the remainder when 3986 is divided by 13?
8
Calculate the remainder when 150 is divided by 135.
15
Calculate the remainder when 1368 is divided by 430.
78
Calculate the remainder when 155 is divided by 36.
11
What is the remainder when 922 is divided by 25?
22
Calculate the remainder when 552 is divided by 37.
34
What is the remainder when 280 is divided by 87?
19
Calculate the remainder when 216 is divided by 114.
102
What is the remainder when 7630 is divided by 16?
14
What is the remainder when 619 is divided by 9?
7
What is the remainder when 1322 is divided by 120?
2
What is the remainder when 123 is divided by 33?
24
What is the remainder when 776 is divided by 18?
2
Calculate the remainder when 220 is divided by 45.
40
Calculate the remainder when 6325 is divided by 171.
169
Calculate the remainder when 20263 is divided by 149.
148
Calculate the remainder when 371 is divided by 17.
14
Calculate the remainder when 120 is divided by 69.
51
What is the remainder when 2097 is divided by 699?
0
Calculate the remainder when 112 is divided by 15.
7
Calculate the remainder when 621 is divided by 154.
5
What is the remainder when 2272 is divided by 543?
100
What is the remainder when 4317 is divided by 40?
37
What is the remainder when 691 is divided by 29?
24
What is the remainder when 28 is divided by 6?
4
What is the remainder when 24 is divided by 9?
6
What is the remainder when 4882 is divided by 5?
2
Calculate the remainder when 4647 is divided by 62.
59
Calculate the remainder when 5858 is divided by 27.
26
Calculate the remainder when 827 is divided by 272.
11
Calculate the remainder when 802 is divided by 134.
132
Calculate the remainder when 225 is divided by 52.
17
Calculate the remainder when 1003 is divided by 10.
3
What is the remainder when 1794 is divided by 78?
0
Calculate the remainder when 985 is divided by 71.
62
Calculate the remainder when 455 is divided by 230.
225
Calculate the remainder when 330 is divided by 164.
2
Calculate the remainder when 286 is divided by 23.
10
Calculate the remainder when 288 is divided by 56.
8
What is the remainder when 252 is divided by 52?
44
Calculate the remainder when 15 is divided by 3.
0
What is the remainder when 1749 is divided by 1737?
12
What is the remainder when 168 is divided by 8?
0
Calculate the remainder when 598 is divided by 100.
98
Calculate the remainder when 3518 is divided by 40.
38
What is the remainder when 2168 is divided by 62?
60
What is the remainder when 194 is divided by 146?
48
What is the remainder when 952 is divided by 32?
24
Calculate the remainder when 496 is divided by 163.
7
What is the remainder when 1361 is divided by 62?
59
Calculate the remainder when 428 is divided by 54.
50
What is the remainder when 261 is divided by 58?
29
What is the remainder when 1273 is divided by 315?
13
Calculate the remainder when 645 is divided by 54.
51
What is the remainder when 6105 is divided by 63?
57
What is the remainder when 225 is divided by 121?
104
What is the remainder when 1007 is divided by 8?
7
Calculate the remainder when 122 is divided by 25.
22
What is the remainder when 1405 is divided by 1403?
2
What is the remainder when 445 is divided by 56?
53
What is the remainder when 313 is divided by 42?
19
Calculate the remainder when 128 is divided by 27.
20
Calculate the remainder when 2923 is divided by 245.
228
Calculate the remainder when 162 is divided by 47.
21
Calculate the remainder when 49 is divided by 13.
10
Calculate the remainder when 1387 is divided by 116.
111
What is the remainder when 288 is divided by 20?
8
Calculate the remainder when 732 is divided by 49.
46
What is the remainder when 76 is divided by 11?
10
What is the remainder when 6981 is divided by 72?
69
Calculate the remainder when 72 is divided by 6.
0
Calculate the remainder when 1083 is divided by 495.
93
Calculate the remainder when 26 is divided by 9.
8
Calculate the remainder when 19 is divided by 4.
3
What is the remainder when 184 is divided by 128?
56
What is the remainder when 21304 is divided by 28?
24
What is the remainder when 33 is divided by 25?
8
What is the remainder when 40 is divided by 34?
6
What is the remainder when 338 is divided by 31?
28
Calculate the remainder when 251 is divided by 15.
11
What is the remainder when 53 is divided by 11?
9
What is the remainder when 1893 is divided by 24?
21
Calculate the remainder when 631 is divided by 92.
79
Calculate the remainder when 300 is divided by 282.
18
Calculate the remainder when 7592 is divided by 447.
440
What is the remainder when 320 is divided by 66?
56
Calculate the remainder when 555 is divided by 4.
3
What is the remainder when 45 is divided by 1?
0
What is the remainder when 220 is divided by 12?
4
What is the remainder when 831 is divided by 49?
47
What is the remainder when 396 is divided by 41?
27
What is the remainder when 25455 is divided by 43?
42
Calculate the remainder when 592 is divided by 145.
12
What is the remainder when 2488 is divided by 30?
28
Calculate the remainder when 1459 is divided by 13.
3
Calculate the remainder when 50 is divided by 28.
22
Calculate the remainder when 380 is divided by 100.
80
Calculate the remainder when 27 is divided by 15.
12
Calculate the remainder when 226 is divided by 130.
96
Calculate the remainder when 7615 is divided by 56.
55
What is the remainder when 37 is divided by 35?
2
Calculate the remainder when 81 is divided by 41.
40
Calculate the remainder when 336 is divided by 42.
0
Calculate the remainder when 31 is divided by 4.
3
Calculate the remainder when 426 is divided by 217.
209
What is the remainder when 2609 is divided by 109?
102
Calculate the remainder when 814 is divided by 24.
22
What is the remainder when 1933 is divided by 149?
145
Calculate the remainder when 274 is divided by 56.
50
Calculate the remainder when 122 is divided by 9.
5
Calculate the remainder when 70 is divided by 24.
22
What is the remainder when 1313 is divided by 146?
145
Calculate the remainder when 1182 is divided by 379.
45
What is the remainder when 277 is divided by 88?
13
What is the remainder when 161 is divided by 42?
35
Calculate the remainder when 80 is divided by 38.
4
What is the remainder when 1258 is divided by 60?
58
Calculate the remainder when 579 is divided by 152.
123
Calculate the remainder when 92 is divided by 32.
28
What is the remainder when 987 is divided by 99?
96
What is the remainder when 96 is divided by 11?
8
Calculate the remainder when 615 is divided by 127.
107
Calculate the remainder when 136 is divided by 7.
3
What is the remainder when 3223 is divided by 10?
3
Calculate the remainder when 98 is divided by 9.
8
What is the remainder when 223 is divided by 68?
19
What is the remainder when 42 is divided by 15?
12
What is the remainder when 547 is divided by 50?
47
Calculate the remainder when 4380 is divided by 17.
11
What is the remainder when 203 is divided by 2?
1
Calculate the remainder when 2699 is divided by 10.
9
What is the remainder when 158 is divided by 27?
23
Calculate the remainder when 43 is divided by 30.
13
What is the remainder when 312 is divided by 11?
4
Calculate the remainder when 189 is divided by 20.
9
What is the remainder when 2841 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
-2)/2*(-2 + -1). Let f(u) = -u**2 + 5*u - 1. Let x(o) = -2*o**2 + 10*o - 3. Let t(j) = 5*f(j) - 2*x(j). Let s be t(5). Sort p, -5, s.
-5, s, p
Let x be 1/((10/4)/5). Let g(z) = z**2 - 9*z + 3. Let n be g(8). Sort n, 6, x in ascending order.
n, x, 6
Suppose -5*z = -4*r - 7 - 3, -5*z + 10 = r. Let d = -0.11 + -0.89. Sort d, z, -2 in descending order.
z, d, -2
Let w = -0.1 - 0.4. Let o = 7.2 - 7. Let t = -10 + 9.7. Put w, o, t in decreasing order.
o, t, w
Suppose -y = -0*y. Suppose 2*m + 0 + 8 = y. Sort 5, m, -1 in descending order.
5, -1, m
Let o = 1 - 5. Sort -2, 1, o.
o, -2, 1
Suppose 0 = 4*o - o + 5*x + 3, 4*o - 2*x = -4. Let g(z) = z**2 - 7*z + 9. Let u be g(6). Sort u, -3, o in ascending order.
-3, o, u
Let r = 10.4 + -6.4. Put -5, r, 0.1 in increasing order.
-5, 0.1, r
Suppose 5*k + y = -14, -3*k - 5*y + 0*y = 26. Put -1, k, 3 in decreasing order.
3, -1, k
Let n = 3 + 0. Let k = -13/10 - -7/5. Sort -5, k, n.
-5, k, n
Suppose -j + 3*m - 13 = 0, m + 11 = -3*j - 4*m. Let l = j - -5. Sort l, 2, -5 in descending order.
2, l, -5
Let v(p) = -p**2 + 4*p - 1. Let z be v(4). Let y = 0.16 + -0.66. Sort z, 0, y in descending order.
0, y, z
Let a = -7 + 4. Put 0, -2, a in decreasing order.
0, -2, a
Let q = 7 - 5. Suppose 2*x = -12 + q. Put -3, -4, x in decreasing order.
-3, -4, x
Let y = 14 + -26. Let f be (-1)/((-32)/y + -3). Let c be 40/7 + 4/14. Put -3, f, c in decreasing order.
c, f, -3
Let h = -18.1 + 4.1. Sort -2, h, 2 in descending order.
2, -2, h
Let n(c) = c**2 + 5*c - 5. Let t be n(-6). Suppose f = 3*w - f, 2*w = -f. Let x be -1 - 1 - (1 - -2). Put t, x, w in increasing order.
x, w, t
Suppose 5*n + 5 = 5*s, n + 3 + 4 = -s. Sort 0.5, 3/8, n in decreasing order.
0.5, 3/8, n
Let u = -18 - -19.7. Let z = 2.2 - u. Sort z, 2, -0.5 in descending order.
2, z, -0.5
Let k(b) = b**2 + 4*b - 5. Let h be k(-5). Let g(w) = -3*w. Let q(a) = -4*a + 1. Let v(d) = -3*g(d) + 2*q(d). Let j be v(h). Put j, 1, -4 in ascending order.
-4, 1, j
Let c = 2.52 - 2.3. Sort 0, c, -3 in decreasing order.
c, 0, -3
Let o = -4 + 3. Let w = o - -0.6. Put -3, 0.3, w in decreasing order.
0.3, w, -3
Let g(v) = -v**3 + v**2 + v + 1. Let l be g(-1). Suppose -l*c = -2, 0 = -0*d + d + 5*c - 6. Suppose 2*j = -5*s, -5 = 4*j - 3*s - 31. Sort -5, j, d.
-5, d, j
Let b be 0 - 2/(-3)*-3. Put 8, 2, b in ascending order.
b, 2, 8
Let g be (4/(-10))/(9/90). Sort g, -5, 1 in increasing order.
-5, g, 1
Let a(o) = o**2 - 5*o + 1. Let n be a(3). Let g = -1 - n. Let b = -0.6 - 0.4. Put g, 3, b in increasing order.
b, 3, g
Suppose -12 = -3*a - a. Suppose -15 = 5*p - 2*n, 0*n + 6 = 4*p + 2*n. Let i = p - a. Put i, 4, 5 in descending order.
5, 4, i
Let l be 1*(-2 - 1) - 1. Suppose 1 - 7 = -3*g. Put -2, g, l in increasing order.
l, -2, g
Let s = 0 - 0.1. Put s, 3, 0.3 in descending order.
3, 0.3, s
Suppose -5*x - 2 = -12. Let o be ((-9)/6)/((-5)/x). Sort -4, -5, o in decreasing order.
o, -4, -5
Suppose 3*k - 12 = -0*k. Sort k, 5, 2, -1 in decreasing order.
5, k, 2, -1
Let s = 2.91 - -0.09. Let j = s + -2.6. Sort -1, 3/7, j in increasing order.
-1, j, 3/7
Let m be -1 + (-5)/(-7) - (-93)/105. Let t = -2 + 2.5. Sort 2/7, t, m in decreasing order.
m, t, 2/7
Let b = 6 - 5.6. Let i = b - 4. Let h = i - -4. Sort 5, h, -4.
-4, h, 5
Let z = 34 - 27.5. Let a = z + -6. Put -1, a, -3/4 in descending order.
a, -3/4, -1
Suppose 3*w + 25 = -2*y, 5*y + 0*w + 15 = 2*w. Let q = y + 9. Put q, -3/8, -2 in descending order.
q, -3/8, -2
Let j(w) = w**2 - 5*w - 5. Let c be j(6). Sort -7, 3, -3, c.
-7, -3, c, 3
Let o = 11 - 11.2. Sort o, -2/15, 4.
o, -2/15, 4
Let o(h) = -h - 7. Let k be o(-4). Let s = -2 - -3. Suppose 0 = 4*g + 3 + 5. Sort k, g, s.
k, g, s
Let q(z) = 11*z + 86. Let g(r) = -4*r - 29. Let o(s) = -17*g(s) - 6*q(s). Let p be o(10). Sort -5, -1, p in decreasing order.
-1, p, -5
Let l = 3 - 6. Let f = l - -3.1. Sort 1/4, 0, f in descending order.
1/4, f, 0
Let i = 26 - 26.19. Let t = 1.09 + i. Let j = -0.9 + t. Put j, 4/5, 1/6 in ascending order.
j, 1/6, 4/5
Let z = 79/30 + -17/6. Let q = -17/3 - -91/15. Let d = 2/47 - 51/94. Sort q, z, d in descending
|
{
"pile_set_name": "DM Mathematics"
}
|
4234. Calculate v(8).
-2
Let x(j) = -j**3 + 13*j**2 - 14*j + 3. Calculate x(10).
163
Let k(l) = -l**2 + 57*l - 27. What is k(56)?
29
Let y(k) = k**3 - 73*k**2 + 25*k - 1822. Give y(73).
3
Let l(b) = -128*b + 1156. Calculate l(9).
4
Let l(w) = 12*w + 785. What is l(-61)?
53
Let n(f) = 252*f - 23188. Determine n(92).
-4
Let d(s) = -s**3 - 15*s**2 + 7*s + 39. Determine d(-11).
-522
Let o(x) = x**3 + 8*x**2 + 49. Determine o(-9).
-32
Let f(b) = -24*b - 914. Determine f(-39).
22
Let d(f) = -3*f**3 - 83*f**2 + 41*f + 280. What is d(-28)?
-84
Let s(g) = g**3 - 31*g**2 + 83*g + 57. What is s(28)?
29
Let q(l) = -4*l**3 - 4*l**2 + l + 6. Calculate q(3).
-135
Let h(a) = 25*a**3 + 2*a**2 + 9*a - 27. Determine h(2).
199
Let l(c) = 3784*c + 3779. Give l(-1).
-5
Let w(m) = -2*m**2 - 87*m - 116. What is w(-43)?
-73
Let l(f) = -19*f + 630. What is l(37)?
-73
Let z(q) = -2*q**3 + 18*q**2 + 8*q + 124. What is z(10)?
4
Let t(g) = 7*g + 200. What is t(-11)?
123
Let r(l) = -l**3 - 23*l**2 - 34*l + 414. Calculate r(-6).
6
Let z(w) = 25*w + 17. Determine z(7).
192
Let n(f) = -6*f**3 - 166*f**2 + 59*f - 51. Calculate n(-28).
-135
Let s(j) = -60*j + 43. Calculate s(6).
-317
Let z(h) = -h**2 + 172*h + 4279. Calculate z(-22).
11
Let i(x) = 5*x**2 - 35*x + 235. Give i(9).
325
Let f(h) = -8*h**2 + 35*h + 963. Determine f(-9).
0
Let c(u) = 158*u + 267. Determine c(-5).
-523
Let z(o) = o + 100. Give z(-26).
74
Let u(l) = l**2 - 39*l - 966. Determine u(-17).
-14
Let n(y) = -6*y**2 - 187*y + 382. Give n(-33).
19
Let t(b) = 21*b**2 + 1113*b - 24. Give t(-53).
-24
Let y(m) = 418*m + 2909. Calculate y(-7).
-17
Let n(j) = 211*j + 7638. Calculate n(-36).
42
Let d(b) = 456*b + 42404. Determine d(-93).
-4
Let f(y) = 75*y + 1524. Give f(-20).
24
Let w(h) = -24286*h - 218582. What is w(-9)?
-8
Let t(o) = -5*o**2 + 99*o - 488. Give t(11).
-4
Let v(h) = 49*h - 22. Give v(-4).
-218
Let y(o) = o**3 + 27*o**2 + 37*o - 653. Calculate y(-24).
187
Let z(g) = 86*g**2 - 32*g + 1. Calculate z(1).
55
Let f(n) = 4*n**3 + 87*n**2 - 20*n + 83. Determine f(-22).
39
Let k(b) = b**3 + 54*b**2 - 169*b + 72. What is k(-57)?
-42
Let h(t) = -t**2 + 40*t - 225. Give h(7).
6
Let j(m) = m**3 + m**2 - 49*m + 137. What is j(3)?
26
Let j(u) = -u**2 + 126*u + 9262. Give j(178).
6
Let v(t) = -t**3 + 77*t**2 - 222*t + 12. Calculate v(74).
12
Let l(o) = -o**2 - 26*o + 562. Determine l(-40).
2
Let l(p) = 1038*p - 1034. Give l(1).
4
Let z(p) = -11*p + 162. Calculate z(7).
85
Let d(l) = -l**3 + 87*l**2 - 1036*l + 1025. Determine d(73).
3
Let q(w) = 76*w + 654. Calculate q(-9).
-30
Let f(m) = -m**3 - 145*m**2 - 430*m - 559. Determine f(-142).
9
Let g(h) = -77*h + 1062. What is g(14)?
-16
Let y(t) = 1041*t + 4154. Calculate y(-4).
-10
Let x(i) = -2*i**3 + 12*i**2 + 52. Give x(6).
52
Let c(k) = 148*k + 2511. Give c(-17).
-5
Let a(g) = -87*g + 5612. Determine a(64).
44
Let v(s) = s - 136. Determine v(-30).
-166
Let o(q) = 3*q**3 + 18*q**2 + 34*q + 6. Calculate o(-2).
-14
Let l(v) = 308*v - 56. What is l(2)?
560
Let y(l) = l**3 - 6*l**2 + 13*l - 5. Determine y(3).
7
Let v(y) = -90*y + 1574. Determine v(18).
-46
Let j(h) = -11*h + 28. Determine j(3).
-5
Let v(q) = 11*q**2 + 903*q + 78. What is v(-82)?
-4
Let t(x) = x**3 + 11*x**2 - 6*x + 82. Determine t(-14).
-422
Let s(o) = -o**2 + 186*o - 5886. What is s(40)?
-46
Let w(y) = -87*y + 2764. What is w(32)?
-20
Let l(k) = -127*k + 104. What is l(1)?
-23
Let l(v) = -4*v**3 - 6*v**2 + 7*v - 13. Give l(-5).
302
Let m(z) = -3*z**3 + 77*z**2 - 236*z - 136. What is m(22)?
-4
Let o(u) = 30*u - 302. Calculate o(9).
-32
Let y(i) = i**3 - 10*i**2 + 3*i + 23. Calculate y(9).
-31
Let j(l) = -21*l - 10. What is j(2)?
-52
Let j(s) = -s**3 + 39*s**2 + 831*s + 2016. Give j(-13).
1
Let k(d) = d**2 + 31*d + 267. What is k(-14)?
29
Let g(a) = a**3 - 45*a**2 + 37*a - 1711. Determine g(45).
-46
Let l(s) = 3*s**3 + 3*s**2 - 23*s + 31. Calculate l(2).
21
Let c(i) = 455*i - 8571. What is c(19)?
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 16 and 6736?
16
Calculate the greatest common divisor of 680 and 24.
8
Calculate the highest common divisor of 265 and 212.
53
Calculate the greatest common factor of 135 and 360.
45
Calculate the greatest common divisor of 3657 and 69.
69
Calculate the greatest common divisor of 1775 and 71.
71
Calculate the highest common factor of 10 and 1145.
5
Calculate the greatest common divisor of 17 and 2176.
17
Calculate the highest common factor of 207 and 276.
69
Calculate the greatest common divisor of 13 and 299.
13
Calculate the highest common factor of 1 and 211.
1
What is the highest common factor of 5 and 79?
1
What is the greatest common factor of 366 and 2684?
122
Calculate the greatest common factor of 2016 and 756.
252
What is the greatest common divisor of 1593 and 27?
27
Calculate the greatest common divisor of 143 and 14443.
143
Calculate the highest common factor of 456 and 64.
8
What is the highest common divisor of 749 and 321?
107
What is the highest common factor of 16128 and 126?
126
What is the highest common factor of 558 and 18?
18
What is the highest common factor of 138 and 207?
69
What is the greatest common divisor of 93 and 5363?
31
What is the highest common divisor of 169 and 1?
1
Calculate the greatest common factor of 6980 and 40.
20
Calculate the greatest common divisor of 96 and 3.
3
Calculate the highest common divisor of 899 and 465.
31
Calculate the highest common divisor of 9815 and 455.
65
Calculate the greatest common factor of 261 and 1008.
9
Calculate the highest common factor of 989 and 161.
23
What is the highest common divisor of 1248 and 234?
78
Calculate the highest common divisor of 291 and 93.
3
Calculate the highest common divisor of 5555 and 33.
11
Calculate the greatest common factor of 11523 and 69.
69
What is the greatest common divisor of 1936 and 80?
16
What is the highest common divisor of 147 and 21?
21
What is the greatest common divisor of 14 and 32?
2
Calculate the highest common factor of 60 and 696.
12
Calculate the highest common divisor of 1014 and 2197.
169
What is the highest common factor of 1834 and 131?
131
What is the greatest common factor of 119 and 259?
7
What is the highest common divisor of 70 and 9590?
70
Calculate the highest common divisor of 130 and 20410.
130
What is the greatest common factor of 938 and 28?
14
What is the highest common factor of 203 and 58?
29
Calculate the highest common divisor of 836 and 19.
19
Calculate the greatest common divisor of 4738 and 103.
103
What is the greatest common factor of 371 and 583?
53
What is the greatest common divisor of 3487 and 44?
11
What is the highest common divisor of 504 and 28?
28
Calculate the highest common divisor of 6 and 48.
6
Calculate the greatest common factor of 13 and 52.
13
Calculate the highest common factor of 145 and 9309.
29
What is the highest common divisor of 1617 and 308?
77
What is the greatest common factor of 4 and 604?
4
What is the highest common divisor of 69 and 7245?
69
What is the highest common divisor of 275 and 11?
11
What is the greatest common factor of 118 and 177?
59
Calculate the highest common factor of 5 and 145.
5
What is the greatest common divisor of 12740 and 42?
14
What is the greatest common divisor of 15 and 54?
3
What is the highest common factor of 180 and 216?
36
Calculate the greatest common factor of 2224 and 48.
16
What is the greatest common factor of 292 and 1095?
73
Calculate the greatest common divisor of 312 and 40.
8
What is the highest common divisor of 12328 and 134?
134
Calculate the greatest common factor of 27895 and 175.
35
Calculate the highest common factor of 584 and 8.
8
Calculate the highest common factor of 3510 and 5130.
270
What is the greatest common divisor of 1380 and 1920?
60
What is the highest common factor of 109 and 1?
1
What is the greatest common divisor of 2715 and 5?
5
What is the greatest common divisor of 175 and 7?
7
What is the highest common divisor of 330 and 154?
22
What is the highest common factor of 102 and 34?
34
What is the greatest common factor of 1930 and 170?
10
What is the greatest common divisor of 1515 and 15?
15
What is the highest common divisor of 7360 and 46?
46
What is the greatest common divisor of 182 and 13?
13
What is the greatest common divisor of 70 and 23170?
70
What is the highest common factor of 43 and 114767?
43
What is the highest common divisor of 387 and 43?
43
Calculate the highest common divisor of 4103 and 11.
11
Calculate the greatest common divisor of 88 and 198.
22
Calculate the highest common divisor of 323 and 247.
19
What is the highest common factor of 8476 and 26?
26
Calculate the greatest common factor of 957 and 46574.
319
Calculate the highest common factor of 18 and 1062.
18
What is the highest common divisor of 14 and 483?
7
Calculate the greatest common factor of 4 and 1348.
4
What is the highest common factor of 2923 and 79?
79
What is the highest common divisor of 1116 and 288?
36
Calculate the highest common factor of 182 and 14.
14
What is the greatest common factor of 6072 and 368?
184
Calculate the highest common factor of 494 and 104.
26
Calculate the highest common divisor of 520 and 910.
130
Calculate the greatest common divisor of 152 and 114.
38
What is the highest common divisor of 6191 and 41?
41
What is the greatest common divisor of 81 and 54?
27
What is the greatest common factor of 5002 and 82?
82
Calculate the greatest common divisor of 21 and 6.
3
Calculate the highest common divisor of 5058 and 72.
18
Calculate the greatest common divisor of 128 and 1376.
32
Calculate the greatest common factor of 3248 and 58.
58
Calculate the highest common factor of 156 and 24.
12
What is the highest common factor of 5248 and 82?
82
What is the greatest common divisor of 6120 and 2280?
120
What is the highest common divisor of 1100 and 850?
50
Calculate the highest common divisor of 188 and 94.
94
Calculate the highest common divisor of 77 and 1782.
11
What is the greatest common divisor of 392 and 13622?
98
Calculate the highest common divisor of 15602 and 232.
58
What is the greatest common factor of 165 and 99?
33
What is the greatest common factor of 4788 and 462?
42
Calculate the highest common divisor of 68 and 119.
17
Calculate the highest common divisor of 3263 and 221.
13
Calculate the greatest common factor of 1243 and 5650.
113
Calculate the highest common divisor of 258 and 1161.
129
What is the greatest common divisor of 38 and 342?
38
What is the greatest common divisor of 1900 and 10?
10
What is the greatest common divisor of 693 and 396?
99
Calculate the greatest common factor of 242 and 110.
22
Calculate the greatest common divisor of 114 and 152.
38
What is the highest common divisor of 1310 and 70?
10
Calculate the greatest common factor of 423 and 99.
9
Calculate the highest common divisor of 5311 and 113.
113
Calculate the highest common factor of 200 and 32.
8
Calculate the highest common factor of 17 and 68.
17
Calculate the highest common factor of 30 and 17070.
30
What is the highest common divisor of 156 and 156?
156
Calculate the greatest common divisor of 21 and 819.
21
What is the greatest common divisor of 15 and 1965?
15
Calculate the greatest common divisor of 258 and 12.
6
Calculate the greatest common divisor of 8 and 4.
4
What is the highest common divisor of 85 and 187?
17
Calculate the highest common divisor of 12709 and 358.
179
What is the greatest common divisor of 174 and 5162?
58
Calculate the highest common factor of 876 and 12.
12
Calculate the greatest common divisor of 62 and 4898.
62
What is the highest common factor of 2135 and 210?
35
Calculate the greatest common factor of 54 and 1431.
27
What is the greatest common factor of 22 and 1067?
11
Calculate the greatest common factor of 40 and 232.
8
Calculate the highest common divisor of 63 and 455.
7
What is the highest common divisor of 2040 and 1464?
24
What is the highest common factor of 2440 and 40?
40
What is the greatest common factor of
|
{
"pile_set_name": "DM Mathematics"
}
|
*c + 15*c**3 + 5542*c + 9*c**3).
-168*c**5 + 14*c**3
Expand -3*i + 3*i + 2*i**4 + (-2 + 2 - 2)*(-5*i**4 + 4*i**4 - i**4) + 3*i**4 + i**4 - 6*i**4 + 15*i**4 + 36*i**4 - 23*i**4.
32*i**4
Expand (-q**3 + 3*q**3 - 4*q**3 - 3*q**3 + 3*q**3 - 2*q**3 + (-q - 4 + 4)*(0*q**2 - 3*q**2 + 2*q**2))*(0*q**2 + 6*q**2 - 60 - 4*q**2).
-6*q**5 + 180*q**3
Expand (-93*i**2 - 3*i + 93*i**2 - 8*i**4)*(3 - 1 - 1).
-8*i**4 - 3*i
Expand (-7 + 11 + 10)*(-56*m**4 + 56*m**4 + 26*m**5).
364*m**5
Expand -t**4 - t**4 + 3*t**4 + (t - 4*t + t)*(-3*t**3 - 2 + 2) + t**4 - 6*t**4 + 0*t**4 + 3*t**4 - 6*t**4 - 6*t**4.
-7*t**4
Expand 0*u**3 + 0*u**3 + 2*u**3 + (-4*u + 2*u**2 + 4*u)*(0*u - u + 0*u) - 4*u**3 - 2*u**3 + 4*u**3 + (31*u**2 + 44 - 44)*(-3*u - 2*u + 3*u).
-64*u**3
Expand (-2 + 2 - 2*j)*(0*j + j - 2*j) - j**2 + j - j + 3*j**2 + 7*j**2 + 2*j**2 + (2 + 1 + 2)*(4*j**2 + 4*j**2 - 2*j**2) + 2*j**2 + 0*j**2 - 3*j**2.
42*j**2
Expand 2*i - 3*i - i + 5*i - i - 3*i - 3 + 3 - i + (-2*i - 3*i + 7*i)*(4 - 5 + 0) - 4 + i + 4 - 3*i + 7*i + 2*i + (-1 - 5 + 2)*(3*i + i - 6*i) - i - 2 + 2.
10*i
Expand (-2*q - 3 + 3)*(q**4 + 0*q**4 - 11*q**4) + 52*q**3 + q**2 - 52*q**3 + 17*q**5.
37*q**5 + q**2
Expand (g + 4*g - 3*g)*(-21 + 21 - 3*g) - 4*g**2 - 3*g**2 + 5*g**2 + (5*g - 1 + 1 + (-g + 0*g - 2*g)*(2 + 0 + 0))*(-3 + 3*g + 3).
-11*g**2
Expand 12421 + 79*x - 12421 + (4*x + 3*x - 5*x)*(2 + 1 - 5) - 4*x - x + 3*x + (x + 2*x - 4*x)*(-3 - 2 + 6) + 3*x + 2*x - 3*x.
74*x
Expand (h - 6*h + 2*h)*(15*h**2 + 627*h**2 + 487*h**2 - 191*h**2).
-2814*h**3
Expand (-2 + 2 - 1)*(2*n**2 + 3*n**2 - 2*n**2)*(-n**2 + 3*n**2 - n**2) - n**4 - 2*n**4 + 0*n**4.
-6*n**4
Expand (-2*h - 5*h + 4*h)*((-6*h - 10*h + h)*(4*h - 3*h - 3*h) - 4*h**2 + 4*h**2 + 2*h**2).
-96*h**3
Expand (-5 + 3 + 3)*(2*m**2 + 0*m**2 - 4*m**2) + 2*m - 9 + 0 + 5 + 8*m**2.
6*m**2 + 2*m - 4
Expand (-213 + 54 - 20688*a + 20689*a)*(-3 - 2 + 3)*(-4 + 2 - 1).
6*a - 954
Expand (0 + 1 + 0 - 2 + 2 - 2 + 3 - 2 - 2 + (-3 + 0 + 4)*(3 - 4 - 1) + 0 + 1 + 0)*(27 - 27 - 12*r - 2*r**2).
6*r**2 + 36*r
Expand (1 + 3 - 5)*(-2*r - 11*r - r) + 2*r + 0*r - 3*r - r - 8*r + 4*r + (r - r + r)*(-2 - 6 + 2).
2*r
Expand ((3 - 1 - 4)*(2*k - 2 + 2) - 2 + 2 + 2*k)*(10 + 3 + 3137*k - 3150*k).
26*k**2 - 26*k
Expand -1 + w**4 + 1 + (132 - 264 + 136)*(4*w**4 + w**4 - 4*w**4) + 5*w**3 - 5*w**3 + w**4.
6*w**4
Expand (z - 3*z**2 + 4*z**2 - 84 + 82)*(2*z**2 + 3*z**2 + 5*z**2).
10*z**4 + 10*z**3 - 20*z**2
Expand -4*z**2 + 2*z**2 + 4*z**2 + (-1 + 3 + 0)*(-4*z**2 + 4*z**2 - 4*z**2) + 0*z**2 + 0*z**2 + 5*z**2 + 2*z**2 - 1 + 1.
z**2
Expand (100*j - 5 - 35*j - 39*j)*(3 - 2 + 0).
26*j - 5
Expand (208*n - 110*n - 137*n)*(5*n**3 - 10*n**3 - 5*n**3).
390*n**4
Expand (10 - 12 - 7)*(-2*m + m - 4*m)*(0*m - 6*m + 4*m).
-90*m**2
Expand (-726*y - 20 - 41 + 722*y)*(-7*y + y + 4*y).
8*y**2 + 122*y
Expand (a**4 - 3*a**2 + 3*a**2 + (-1 - a**2 + 1)*(a**2 + 0*a**2 + a**2) - 306*a + 306*a - 10*a**4)*(3*a - 6*a + 2*a).
11*a**5
Expand (4 - 2 + 1)*(-3*a + 3*a + 6*a) + (13*a - 22 + 22)*(1 - 2 - 1).
-8*a
Expand (2 - 2 + 2)*(11*x + x + x + (-3*x + 2*x - x)*(-1 - 1 + 0) - 3*x + 0*x + 6*x).
40*x
Expand -13*y**2 + y**2 - 25*y**2 + y**2 - y**2 + y**2 + 4*y**2 - 2*y**2 - y**2 + (4*y - 3*y - 3*y)*(y - y + 2*y).
-39*y**2
Expand (2*f + 0*f - f)*(-2 - 2 - 1) + (-3*f + 3*f - 2*f)*(-7 - 4 - 5) + 0*f - 7*f + 2*f.
22*f
Expand y**4 + 2*y**5 - y**4 + (-2*y + 3*y**4 + 2*y)*(6 + 10*y - 6).
32*y**5
Expand (0*n - 5*n + 3*n)*(-4*n + 4*n - n) - 105*n**2 + 261*n**2 - 38*n**2 + 384*n**2.
504*n**2
Expand (4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2*l + 5. Calculate the smallest common multiple of 161 and l.
322
Suppose -5*t + 28 = -42. What is the lowest common multiple of 45 and (t - -41)/(0 - -1)?
495
Calculate the common denominator of -3/128 and (-44)/(-66) - (-10)/(-18) - 149/(-1008).
896
Let n(s) = -72*s**2 + 21*s + 36. Let h be n(-5). Let i = h + 1878. Let d = 2 + 0. What is the lowest common multiple of i and d?
18
Calculate the common denominator of -29/9 and 2760/(-95076) + (-26)/247.
1251
Calculate the least common multiple of 14/(-10) + 1 + 2170/175 and 28.
84
Let p be ((-16)/10)/(16/10 + -2). Let x be 3*p/(-12) + 4. Suppose -2*q = -4*k + 18, x*k - 4*k = -q - 3. What is the least common multiple of 8 and k?
24
Calculate the common denominator of -3/1118 and (-2)/(-4) - (16 - 2236/143).
12298
Let a = -781827/56 - -13960. Calculate the common denominator of -11/1421 and a.
11368
Let r = -15 - -5. What is the least common multiple of (66/r)/((-42)/(-15) - 3) and 6*32/(-24) + 12?
132
Suppose -c + 727 - 343 = 5*k, c - 4*k = 303. What is the least common multiple of 678 and c?
678
Let x be ((-56)/32)/(1/(-4)). Suppose -4*b = -x - 9. What is the lowest common multiple of (-536)/(-24) + (-3)/9 and b?
44
Suppose -1 - 5 = -3*v. Suppose 120*n - 126*n = -96. Let a(g) = 2*g**2 - 35*g + 54. Calculate the least common multiple of v and a(n).
6
Let i(z) = 3*z**3 + 5*z**2 + 3*z - 41. Let j(g) = 7*g**3 + 10*g**2 + 4*g - 83. Let c(u) = -9*i(u) + 4*j(u). Calculate the least common multiple of c(6) and 63.
63
Suppose -8*f = -21 - 3. Suppose -f*k - 110 = -4*k. Suppose 5*x - 10*x + k = 0. What is the smallest common multiple of 18 and x?
198
Suppose o = -5*r + 980, -29*r + 33*r + 2*o = 784. Calculate the least common multiple of r and 152.
7448
Let n = -22 + 25. Let q be (-144260)/48 + n - -3. Let v = -3005 - q. What is the common denominator of v and -61/9?
36
Suppose -2*r - 2*t = -1482, r - 4*t + 417 = 1138. Let z = r - 687. What is the least common multiple of 30 and z?
150
Let v = -11251/10 + 1113. Let q be (-3 - 0 - 0) + 70 + 3. What is the common denominator of (-2)/(-4) + q/(-15) and v?
30
Let r(w) = -46*w**3 - 4 + 23*w**3 + 22*w**3 + 15*w**2. Let x be r(15). Calculate the least common multiple of (-6 + -2)*29/x and 4.
116
Suppose 92*y + 62*y - 197820 = -3*y. Calculate the smallest common multiple of y and 144.
5040
Let z = 103439 - 102197811/988. Calculate the common denominator of -91/18 and z.
8892
Let j = -108985/35364 - 32/1263. Suppose -3*k = -i + 15, -5*k - 1 = -i + 22. Find the common denominator of j and ((-190)/25 + k)*(-1)/8.
140
Let x = -36/137 - -33433/118368. Find the common denominator of -107/42 and x.
6048
Suppose -4*p = 8*m - 62388, -2*p + 13656 = 2*m - 1938. What is the lowest common multiple of 2 and m?
7800
Suppose 22 + 11 = 4*n + 5*j, 5*j - 5 = 0. Let w(t) = -10*t - 87. Calculate the least common multiple of n and w(-12).
231
Let p(i) = 4*i**3 + i**2 + 4*i - 5. Let y be p(1). Suppose 0 = -w + 5*o + y, 0 = 56*w - 58*w - 5*o + 23. Calculate the least common multiple of w and 15.
45
Let g = 1415051/31233870 + 2/59835. Calculate the common denominator of 37/12 and g.
3132
Find the common denominator of ((-50)/4*57/(-3660))/2 and 103/5734.
45872
Find the common denominator of 87/154 and 4/42*36/(4608/(-668)).
3696
Find the common denominator of -47/917 and (-10)/35*(-1568)/256.
3668
Let a(b) be the second derivative of -b**5/20 + 11*b**4/12 + 43*b**3/6 - 2*b**2 - 17*b. What is the least common multiple of a(14) and 70?
70
Find the common denominator of 43/1785 and (115*4/80 - 9)*(-22)/(-105).
3570
Suppose z + z - 40 = -2*g, -3*g - 36 = -3*z. Calculate the common denominator of (-21)/14*z/36 and -34/15.
15
Let y = -10204/807 + -6/269. Let u = -271471/11 - -24679. What is the common denominator of u and y?
33
Let a = 713/561 - -6/187. Calculate the common denominator of a and 49/1065.
11715
Find the common denominator of -1/380 and 12/280*(-11455)/(-87).
2660
Let y(j) = -34*j**2 - 5*j - 2. Let x be y(-3). Let w = x + 305. Let k(z) = 3*z**2 - 3. Calculate the smallest common multiple of w and k(3).
24
Let s(j) = j**3 + 7*j**2 - 6*j + 13. Let a be s(-9). Let x = a - -98. Calculate the lowest common multiple of 73 and x.
219
Let b = 14 - 14. Suppose b = 5*u + 5*u + 8*u. Suppose -9*w + 497 - 92 = u. Calculate the lowest common multiple of w and 12.
180
Calculate the common denominator of (-6)/117 - ((-10)/(-50))/((-3)/10) and (-51)/119 - (-501)/(-56).
104
Suppose 0 = 3*l + 57 + 99. Let f = l - -61. Find the common denominator of 76/33 and (-25)/(-6)*f/135.
198
Let q(y) = -4*y**2 - 95*y - 20. Suppose 0 = 8*r - 7*r - 5*t + 47, 2*t - 10 = 0. Calculate the smallest common multiple of 20 and q(r).
1340
Let j = 33336/19 + -1755. Let p = -19/18824 - -74364269/56472. Let g = 1324 - p. Calculate the common denominator of j and g.
114
Suppose 3*g + 7 = -26. Find the common denominator of (1 + ((-87)/(-116) - (-202)/(-120)))*21 and ((-4)/(-3))/(g/36).
55
Let p be (281 - 15/5)*-1. What is the common denominator of -5 + (p/(-8) - 5) and -85/6?
12
Suppose 128*m + 13024 = 172*m. Calculate the least common multiple of m and 2849.
22792
Let r(p) = -p**2 + 27*p - 120. Let j be r(8). What is the least common multiple of (j/(-7) + 2)*-126 and 8?
648
Let f be (54/10215)/(18/(-4) + 0). Let u = f + -36539/6810. Let x = -34361
|
{
"pile_set_name": "DM Mathematics"
}
|
n 0, 3, -13/22681?
3
Which is the fourth biggest value? (a) -1/42 (b) -3/4 (c) -34 (d) 0.4 (e) -14
e
What is the fifth biggest value in 6, 3/7, 0.01, -0.1, -18?
-18
What is the smallest value in -2.8, 634, -2, 3?
-2.8
What is the third smallest value in -1, -4, 4/3, -0.53, 0.5?
-0.53
Which is the fourth smallest value? (a) 26 (b) -5 (c) -3 (d) 37 (e) -22 (f) -2/11
f
Which is the smallest value? (a) 5/4 (b) -3/2 (c) 0 (d) -2 (e) -0.03 (f) 12
d
What is the third smallest value in -5, 15, 0.5, 2/49, -2?
2/49
What is the second biggest value in -148/31, -2/5, 2/3, -0.5, 2?
2/3
Which is the third biggest value? (a) -0.2859 (b) -20 (c) 4
b
What is the fourth biggest value in 2, 630.6, -1, 0.1?
-1
Which is the second smallest value? (a) 1829 (b) -6 (c) 0.02
c
What is the smallest value in -0.5863, -1/3, 0.4?
-0.5863
Which is the second smallest value? (a) 89 (b) -178 (c) 6
c
What is the fifth biggest value in 216, 1.5, -1/2, 0.5, 1/4, 4?
1/4
What is the third biggest value in -20, -34, 13?
-34
What is the third smallest value in 5, -305, 8/5?
5
What is the biggest value in -0.07, 3, 17610?
17610
What is the fifth smallest value in -3, -5, 1/5, -24, -2257?
1/5
Which is the smallest value? (a) 21 (b) 1.718 (c) 0 (d) 2/11
c
What is the third biggest value in 5, -1.56, -120?
-120
What is the fifth smallest value in 7, 2, 4/3, -6, 5, -0.04?
5
Which is the fourth biggest value? (a) -2/19 (b) 1 (c) 2 (d) -0.5 (e) 354/5
a
What is the fourth smallest value in -2/5, -3/8, 191/5, 167?
167
What is the sixth smallest value in 4/7, 3, -0.0075, -2, -4, 0?
3
What is the fourth biggest value in 55, 4/7, -2, -1/8?
-2
What is the third smallest value in -0.5, 150, 0.06?
150
Which is the fifth smallest value? (a) -0.3 (b) 5/4 (c) 14 (d) 55 (e) -1
d
Which is the third smallest value? (a) -9 (b) -4 (c) -38914
b
What is the fourth biggest value in 7/3, -4, -0.22, -2/13?
-4
Which is the sixth biggest value? (a) 0 (b) -0.2 (c) 219 (d) -5 (e) 1/4 (f) 2/11
d
What is the sixth smallest value in -7, 4, -4, 0.2, 34, -5?
34
What is the biggest value in -2, 1, 228, 2/17, 123?
228
What is the fourth smallest value in -3.2, -1, 129, 1/7?
129
What is the third biggest value in -7/4, -60, 0.06, 3?
-7/4
Which is the second smallest value? (a) 2/3 (b) -58 (c) -1 (d) -2/11 (e) 5
c
What is the third biggest value in -5, -25, 0, 0.5, 1017?
0
Which is the third biggest value? (a) 140 (b) -1/71 (c) 0.5
b
What is the smallest value in 4, -4/7, -18527?
-18527
Which is the smallest value? (a) -32 (b) 149 (c) -5 (d) -10 (e) 5
a
Which is the fifth smallest value? (a) 381 (b) -2 (c) 5 (d) 4 (e) 1/6
a
Which is the smallest value? (a) -157 (b) 4/3 (c) 1.2
a
Which is the fifth biggest value? (a) 4 (b) 1/6 (c) 2/83 (d) 0.3 (e) 3/37 (f) -0.09
c
Which is the fourth smallest value? (a) 3 (b) 3/8 (c) 33 (d) -150
c
Which is the smallest value? (a) 258 (b) -92 (c) 10
b
What is the second smallest value in 13, 92, -3, -9, -5, -0.1?
-5
Which is the biggest value? (a) -4 (b) -29 (c) 0.3575 (d) -5
c
Which is the third smallest value? (a) -37753 (b) -0.3 (c) 7
c
Which is the smallest value? (a) 0 (b) -7/395 (c) 122
b
What is the second smallest value in 6/7, -3, -95/8, -1, -0.21?
-3
Which is the fourth biggest value? (a) 9 (b) -3 (c) -0.5 (d) -0.27 (e) 356/5
c
What is the fourth biggest value in 2, 2/7, -1/10, -1.8, -5.74?
-1.8
What is the second smallest value in 1, 0.5, -20/13, 3/8?
3/8
Which is the smallest value? (a) -2/9 (b) -0.1 (c) 0 (d) 0.9 (e) 4 (f) 0.5
a
Which is the smallest value? (a) 0.5 (b) 0.3 (c) -0.032 (d) 0.1 (e) 1/21
c
What is the second biggest value in 0, -0.18, -1/9, -0.1, -96?
-0.1
What is the fourth smallest value in -0.5, -5, 0.5, 3, -39428?
0.5
Which is the sixth biggest value? (a) 0.09 (b) 7 (c) -2536 (d) 0.2 (e) -2 (f) -2/7
c
Which is the fourth biggest value? (a) 3 (b) 34 (c) -1 (d) -99.5
d
Which is the third biggest value? (a) -4 (b) -115 (c) -5771
c
What is the biggest value in -33, 3279, 3, 0.3?
3279
What is the biggest value in -123, -49, -1/15?
-1/15
What is the third smallest value in -2, -4, 33997/2, -2/13?
-2/13
What is the second smallest value in -0.0178, -3, -7.4?
-3
Which is the second biggest value? (a) 0.03 (b) 0.2 (c) 0.5 (d) 1.5 (e) 0.39
c
Which is the fifth smallest value? (a) -77.72
|
{
"pile_set_name": "DM Mathematics"
}
|
t - 9. Suppose -2*n = -4*u + 30, 2*u - 17 = 3*n - 0*n. Let w be g(u). Let o = 106/15 - 20/3. Which is the biggest value? (a) o (b) 4 (c) w
b
Let j be (8 + -2)/18*-3. What is the second smallest value in j, -0.5, -5, -8?
-5
Let h be -1 - 3*(-2)/3. Let s = -12/5 + 19/10. Let n be ((-7)/14)/(18/8). Which is the second smallest value? (a) n (b) s (c) h
a
Let r = -1.613 + -2.387. Which is the fourth smallest value? (a) 3 (b) r (c) 16 (d) 0.03
c
Let y = -1153 - -1152. Which is the smallest value? (a) -3/5 (b) 0.4 (c) -0.17 (d) y
d
Let f = 728 + -727.84. What is the biggest value in -0.4, f, -10, 0.5?
0.5
Suppose 0 = k + p, -2*p = -5*k - 7 + 14. What is the biggest value in 1/2, -3, k, -55?
k
Let u = -220/63 + 25/9. Which is the smallest value? (a) 0.04 (b) u (c) 1
b
Let l = -1.1 + 1.1. Let j = -408/7 + 58. Which is the third smallest value? (a) l (b) 3 (c) j (d) 1/15
d
Let h(t) = -9*t**2 - 40*t + 22. Let y be h(-5). What is the fourth smallest value in y, 1/5, -3/4, 1/3?
1/3
Let r = 172 - 178. Let q = -4 - r. Let z(m) = -4*m + 2. Let p be z(-2). Which is the second smallest value? (a) p (b) 0.4 (c) q
c
Suppose 3*q - u - 2 = 0, -4*u + 7 + 13 = 2*q. Let c(o) = -3*o**2 - o + 2. Let b be c(q). Let h be (-4)/(-8) - (-10)/b. What is the smallest value in 4, 0.5, h?
h
Let q = 70 - 194. Let m = q + 127. Which is the fourth biggest value? (a) 0.1 (b) m (c) -5 (d) -3/7
c
Let h = 1 + -0.99. Let t = h + -0.07. Let f be (2 - (-4)/(-3)) + -1. Which is the third smallest value? (a) t (b) 3/8 (c) f
b
Let h(y) = -100*y**3 + y. Let q be h(1). Let z be 3 - 0 - q/(-21). Let v = z - -46/35. Which is the second smallest value? (a) -5 (b) v (c) -1
c
Let j = 63.65 - 64.95. Let y be 1/(-3) - 2/(-15). Which is the fourth biggest value? (a) 5 (b) j (c) y (d) 2/9
b
Let s = 641.81 - 642. Which is the third biggest value? (a) s (b) -0.1 (c) -5
c
Let s = 507.9 - 508. Which is the third smallest value? (a) -18 (b) s (c) -1/2 (d) -1/3
d
Suppose 8*s - 86 = 6*s. Let u = 128/3 - s. Which is the second biggest value? (a) u (b) -3 (c) -1
c
Let n = -3.8 - -4. Let w = 501 + -498. What is the third biggest value in w, n, 1, 0.07?
n
Suppose 0 = -u + 1 + 31. Let n be (-4)/(-10) - u/130. Let p be (-70)/(-44) - (-2 - (-23)/11). Which is the smallest value? (a) n (b) -2/3 (c) p
b
Let x be (426 + -442)*2/(-96). Let w = -2 - 0. What is the smallest value in w, x, 2/17?
w
Let u = -2943 + 2942.9. Let j be (1/(-7))/(2 + -1). What is the smallest value in 1/7, j, u, -1/3?
-1/3
Let y be ((-2)/(-2))/(5/(-30)). What is the second biggest value in 0.08, y, 0.4?
0.08
Let k be (-648)/2112 - (-3)/24. Which is the second smallest value? (a) k (b) -9 (c) 2/19
a
Let i = -106 - -105.7. Let g = 0.3 - 1.3. Let s = g + 0. Which is the smallest value? (a) s (b) i (c) 2/11
a
Let g = -5/18 - 1/18. Let c = -1 - -6. What is the second biggest value in c, 16, g?
c
Let u be (-21)/5 - 1110/(-925). Let i = -15/4 + 41/12. Which is the third biggest value? (a) i (b) u (c) -0.5
b
Let k = 12 + 2. Let f = 14.227 - -0.073. Let t = f - k. Which is the smallest value? (a) -1 (b) -0.4 (c) t
a
Let g = -20.9 + 19.4. Which is the smallest value? (a) 2/11 (b) g (c) -0.2 (d) 0.4
b
Let q = 2608 + -2604. What is the fourth smallest value in -0.4, 1/5, q, -4?
q
Let o be -4*(-3)/4 + -65. Let q = 190/3 + o. Let d = 59 + -58.6. What is the biggest value in d, q, -2?
q
Let h = -0.296 - 8.704. What is the second biggest value in -2, 3, -0.1, h?
-0.1
Let r = -0.2 + 0.3. Let w = 26969 - 134353/5. Let x = w - 98. Which is the third smallest value? (a) 0.3 (b) r (c) x
c
Let o be ((-7)/(245/10))/(-11). Which is the biggest value? (a) 0.1 (b) 0.2 (c) o
b
Let m = 155.7 + -164. Let r = m + 8.6. Which is the second smallest value? (a) 5 (b) 4 (c) 2/9 (d) r
d
Let q = 7.3 - 0.5. Let z = 6 - q. Let p = 1.2 - z. What is the second smallest value in -2, 1/4, p?
1/4
Let l = -1.509 - -1.809. Let s be 4/(-10)*-5*1. What is the third biggest value in s, l, -6?
-6
Let f be 4/(-60)*6 + 27/5. What is the smallest value in 0.1, -0.5, 4, f?
-0.5
Let a = 48 - 52. Let q = 181/440 - 2/55. Let s(w) = 5*w**3 - w - 1. Let c be s(-1). What is the smallest value in q, a, c?
c
Let m = -0.0189 - -0.2189. Suppose 4 - 2 = -2*b. What is the third smallest value in 1, b, m?
1
Let r = 629 + -6921/11. Which is the second smallest value? (a) 5 (b) r (c) 0.05
c
Let a
|
{
"pile_set_name": "DM Mathematics"
}
|
546 + 838353. Is b a prime number?
True
Let i = 39954 + -6133. Is i a prime number?
False
Let t = 5 - 3. Suppose -s - 6 = 5*j - 33, 0 = 2*j + t*s - 14. Suppose -j*r + 955 = -0*r. Is r a composite number?
False
Let r(p) = p**3 - 4*p**2 + 3*p - 8. Let w be r(4). Suppose -w*d + 492 = 4*s, -41 = -3*s + 5*d + 296. Is s composite?
True
Let z(f) = 5*f - 9. Let a be z(3). Suppose 268 = -a*o + 1990. Is o prime?
False
Suppose 4*j - 1219 = -123. Is j/8*(-64)/(-8) a composite number?
True
Let p be (20 - 20)*(2 + -1). Suppose 0 = 4*r + 6*n - 2*n - 4, -3*n - 15 = p. Is (2/r)/(3/603) prime?
True
Let i(k) = 49*k**2 - k - 1. Let o be i(3). Suppose 928 = 5*x - o. Suppose 8*h - 5*q = 4*h + x, -3*h - 2*q + 199 = 0. Is h a prime number?
True
Let a = 8690 + -3817. Is a composite?
True
Suppose 0 = -0*n - 3*n - 6. Let y be ((-2 - n)/(-3))/(-3). Suppose -4*x + 1951 - 275 = y. Is x a composite number?
False
Let x(f) = 56*f**3 - 10*f**2 + 40*f - 3. Is x(5) composite?
False
Suppose 1005 = -5*k - 0*k. Let h(a) = 68*a**2 - 2*a + 2. Let y be h(3). Let r = k + y. Is r prime?
False
Suppose -8 = 5*b - 7*b. Suppose -b*v = -316 - 16. Suppose -w = -62 - v. Is w a prime number?
False
Is 222268/44 - (-6)/(-11) a prime number?
True
Let p = -71 - 231. Let z = p - -985. Is z composite?
False
Let h = -85 + 88. Suppose h*i - 242 = -5*c, -1 = 3*c - 4. Is i composite?
False
Suppose 46820 = 32*t - 36668. Is t prime?
True
Let w(u) be the second derivative of 1/3*u**3 + 1/6*u**4 + 0 - u - 1/2*u**2. Is w(-3) a prime number?
True
Let v = 21622 - 14123. Is v prime?
True
Suppose -3*l + 64 = -0*s + 5*s, 0 = -3*s - 3. Let f = 234 - l. Is f composite?
False
Suppose u = -3*z + 123836, -3*z - 4*u = -78673 - 45160. Is z prime?
False
Let q = 717 + -1063. Let c = -511 - -562. Let r = c - q. Is r a composite number?
False
Let u be (12/(-15))/(4/30). Let f(b) be the first derivative of -21*b**2/2 + b - 5. Is f(u) a prime number?
True
Let d = -2854 - 1028. Is d/4*(-20)/30 prime?
True
Suppose u + 3*u - 12 = 0. Suppose -26645 = u*f + 2*f. Is (-4)/14 + f/(-7) a composite number?
False
Is (-164412)/(-6 + -3)*(-51)/(-12) prime?
False
Suppose 5*b = 16*b - 1199. Is b a prime number?
True
Let w(f) = 94*f - 23. Suppose 21 = 3*j + 3. Is w(j) composite?
False
Let o = -14 + 12. Let k be (o/3)/(48/(-360)). Suppose 5 = q, -3*q - 2695 = -k*b + q. Is b composite?
True
Is (-1 + -2*(-45)/(-24))*-44 composite?
True
Suppose -z + 5*h - 18 = 0, -z - 4*z - 38 = h. Let g(u) = -357*u - 1. Let q be g(z). Suppose -824 + q = 3*n. Is n a prime number?
True
Suppose 3*c + v = 66, 0 = c - 5*v + v - 35. Let l = c + -20. Suppose -228 = -l*f + 1038. Is f prime?
False
Suppose 31*n - 86643 = 22*n. Is n composite?
True
Let b = 44 + -60. Let y(a) = a**3 + 21*a**2 + 9*a + 35. Is y(b) prime?
True
Let x(u) = 237*u**2 - 2*u - 2. Is x(-1) a composite number?
True
Suppose 2*y + 5*y = 28. Is (254/(-8))/((-1)/y*1) prime?
True
Let d = 583 - -591. Suppose -13*k = -12*k - d. Is k a composite number?
True
Suppose -25*k + 37860 + 115415 = 0. Is k prime?
True
Let h be (-196)/36 + 16/36. Let f(o) = -26*o - o - 14*o. Is f(h) a composite number?
True
Let o = -25 + 30. Suppose -896 = o*y - 7*y. Suppose -4*h = -y - 148. Is h a prime number?
True
Let a(t) = -374*t + 427. Is a(-4) composite?
True
Suppose -r = -3*l + 19299, 0 = 5*l + 4*r - 2*r - 32176. Is l a composite number?
True
Let y(w) = -368*w - 7. Is y(-3) a composite number?
False
Let w = 337 + -164. Suppose 2*z + 2*x = 603 - w, 5*z - 1035 = 5*x. Is z a composite number?
False
Suppose -26*y = -12*y - 294014. Is y a prime number?
True
Let m = -162 - -240. Let o = -55 + m. Is o a prime number?
True
Let g be 1/3 - 4/(-6). Is -1*(g + (3/(-1) - 333)) a prime number?
False
Suppose -g + 4799 = 2*w, -5*g + 0*g + 23985 = 5*w. Suppose -5*m = -2*c + g, 3*c - 2*m - 7189 = 2*m. Is c prime?
False
Suppose -17498 = 708*t - 710*t. Is t prime?
False
Let k(c) = -6 - 3 - 9*c + 4. Let s be k(-7). Let b = s - -60. Is b a composite number?
True
Let v(o) = 13*o**2 - 390*o + 47. Is v(42) a prime number?
True
Let k = 76 + -51. Suppose -2*o - f + 5 = -0*o, 5*f = -2*o + 17. Is 485/k*(4 + o) a composite number?
False
Suppose -15750 = -4*c - 5*b, 5*c - 12048 = 5*b + 7617. Is c prime?
False
Suppose o - 2*h = 10, h + 0*h + 5 = -2*o. Suppose -5*y - 2*u + 26 = o, 5*u + 2 = -y - 2. Let x(n) = 50*n - 7. Is x(y) prime?
True
Is 88554 - (-6 + 11 - -2) a composite number?
False
Suppose 0 = -2*p - 8*p + 30. Is (3/(-1))/(6/(-2592)) - p a composite number?
True
Let o be 0 - (-3 - -37)*-1. Let y = -48 + o. Is 4/y + 699/21 composite?
True
Let q = 30 - 1. Let i = q - -1622. Is i prime?
False
Is (-3)/36 - 14/(1176/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
b/b**(-1/3))**(-42) assuming b is positive.
b**(-979/18)
Simplify q**(-2/9)/(q*(q/(q**4*q)*q*q)/q*q)*(q/(q*q**10*q))/q**(2/15) assuming q is positive.
q**(-466/45)
Simplify (u**3/u*u**(-4))/(u/u**1)**(-48) assuming u is positive.
u**(-2)
Simplify (p**(-2/5)/p*p)**49*(p**(-1/2)/p)**43 assuming p is positive.
p**(-841/10)
Simplify ((c*c**(-1/5))**18)**(-18) assuming c is positive.
c**(-1296/5)
Simplify (j**(-1/4)*j**(-2/3))**(2/19) assuming j is positive.
j**(-11/114)
Simplify (u*u**(1/3)/u*u*u)/u*u**10*u*(u**(-1/4))**(-9) assuming u is positive.
u**(175/12)
Simplify (p/p**(-5))/((p/(p/p**(-6)*p*p)*p)/p)*p**6/((p*p/(p*(p**(-2/9)/p*p)/p*p))/p) assuming p is positive.
p**(178/9)
Simplify (h*h**(-8/5)*h)**(4/23) assuming h is positive.
h**(8/115)
Simplify ((b**1/b*b)/b*b)**(12/11)/(b**4*b*b*b/(b*b/b**(2/7))) assuming b is positive.
b**(-323/77)
Simplify (t/((t**16*t)/t))**(-43) assuming t is positive.
t**645
Simplify ((m/(m/(m/m**8)))/m*(m**(5/3)/m)/m)/((m/((m*m**(-4))/m))/m**6) assuming m is positive.
m**(-22/3)
Simplify (a*a*a/(a/(a*(a**2*a)/a)))**(1/29)*(a**(-2/25)*a*a)/(a/(a/(a*a**(-4)))) assuming a is positive.
a**(3692/725)
Simplify (o**(-16/5)*o/(o**(-13)*o)*o*o*o*o)**34 assuming o is positive.
o**(2346/5)
Simplify (k/(k/k**(-5))*k)**19 assuming k is positive.
k**(-76)
Simplify t**15/t**(-28) assuming t is positive.
t**43
Simplify (z/(z/(z**(-2/5)/z*z)))/z**(6/19) assuming z is positive.
z**(-68/95)
Simplify ((j**3*j)/j*j)**(-32/3) assuming j is positive.
j**(-128/3)
Simplify r**5*r**(28/5) assuming r is positive.
r**(53/5)
Simplify d**8*d/(d**(-4/3)/d)*(d/(d*d**(-2)*d))**(-2/7) assuming d is positive.
d**(232/21)
Simplify ((a**(1/6))**(-21))**16 assuming a is positive.
a**(-56)
Simplify j**6*j*j*j**(-3)*j**(2/27)*j**3 assuming j is positive.
j**(218/27)
Simplify (x**4/(x**(-2/11)/x))**(1/80) assuming x is positive.
x**(57/880)
Simplify (l**(-2/7))**2 assuming l is positive.
l**(-4/7)
Simplify (u**(-1)*u**(-5))**(5/3) assuming u is positive.
u**(-10)
Simplify (h**(-7/5)/h**0)**(-4) assuming h is positive.
h**(28/5)
Simplify (u/(u/u**(1/28)*u*u))/u*u**(-7/5) assuming u is positive.
u**(-611/140)
Simplify (j**(2/3)/j)/(j**(-5)/j)*(j*j**6)/j*j*(j*j*(((j**(1/7)*j)/j)/j)/j)/j assuming j is positive.
j**(248/21)
Simplify (y**(-1/3)*y*y)**(45/7)/(y/y**(2/7))**(-26) assuming y is positive.
y**(205/7)
Simplify v**(-1/14)*(v*v**(-1)*v)/v*v**4*v/v**(-4/5) assuming v is positive.
v**(401/70)
Simplify c**4*(((c/c**10)/c)/c)/c*(c**0)**(-22) assuming c is positive.
c**(-8)
Simplify (z**(-2)/z*z*z)/z**8*z*z*z**(-3)*z**9 assuming z is positive.
1/z
Simplify (m/m**(1/2)*m**(-1/13))**18 assuming m is positive.
m**(99/13)
Simplify (f*f**10*f*f/(f**(5/9)*f)*f)**32 assuming f is positive.
f**(3584/9)
Simplify u**12*u*u**(-18) assuming u is positive.
u**(-5)
Simplify m**(-1/3)*m**(1/9)*m**(-2/9)/m**0 assuming m is positive.
m**(-4/9)
Simplify j**27*j/(j**11/j)*j*j assuming j is positive.
j**20
Simplify ((n/n**(-1/2)*n)**(-5))**(-3/23) assuming n is positive.
n**(75/46)
Simplify (r**(-1)/(r*(r*r/(r**(-6)/r))/r))**(-1/19) assuming r is positive.
r**(10/19)
Simplify ((m**(-6)*m)/(m*m**5*m*m*m))/(m**(-1)*(m/(m*(m**0/m)/m)*m*m)/m*m) assuming m is positive.
m**(-17)
Simplify (i*i*i**(-1))**(-24)*(i*i/i**(1/4)*i*i)/((i**(-2/21)*i)/i) assuming i is positive.
i**(-1693/84)
Simplify g**(-8/5)*g*g**(1/5)*g**(-6)/((g**6/g)/g) assuming g is positive.
g**(-52/5)
Simplify r**(-1/3)/r*r**1*(r/(((r*((r*r**(-1/2)*r)/r)/r)/r)/r))**(16/5) assuming r is positive.
r**(23/3)
Simplify (w**(-41/5)*w)**(-1/46) assuming w is positive.
w**(18/115)
Simplify (p*p**8)**10 assuming p is positive.
p**90
Simplify ((y**(16/5)/y)/y)/(y*y**(2/3)*y) assuming y is positive.
y**(-22/15)
Simplify (y**(1/2)/(y**(2/9)/y*y))/(y**(-6)/y**(-1)) assuming y is positive.
y**(95/18)
Simplify (u*(u**(2/13)*u)/u*u)/(u*u**(1/3))*(u**2)**(2/27) assuming u is positive.
u**(340/351)
Simplify (q**0)**(-37)*(q/q**(1/3))/q**1 assuming q is positive.
q**(-1/3)
Simplify (w*w*w**49*w*w*w)**26 assuming w is positive.
w**1404
Simplify (((d/(d**12*d))/d*d)/((d*(d*d**4*d)/d*d*d)/d*d))**(-13/2) assuming d is positive.
d**130
Simplify (c*c*c**1*c)/(c**(-1/3)/c)*(c**0)**(-45) assuming c is positive.
c**(16/3)
Simplify (i*i**(-1))**(2/7)/(i/(i/(i*i**3/i))*i**1) assuming i is positive.
i**(-4)
Simplify (j/(j*j**(-1)*j))/(j/j**(3/5))*(j**(2/3)/j)**(1/39) assuming j is positive.
j**(-239/585)
Simplify (q**2)**(-2/39)/((q*q**7)/q*q*q*q**4) assuming q is positive.
q**(-511/39)
Simplify j**(-1)/j*((j*j**21)/j)/j*j assuming j is positive.
j**19
Simplify m**11/(m/m**19) assuming m is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
624?
16
What is the greatest common divisor of 233675 and 13?
13
What is the greatest common divisor of 300600 and 400?
200
What is the greatest common divisor of 1120338 and 54?
54
What is the highest common divisor of 328720 and 1280?
80
Calculate the highest common factor of 3473 and 4853.
23
What is the greatest common factor of 183975 and 66?
33
What is the greatest common divisor of 2793 and 9849?
147
Calculate the greatest common divisor of 616 and 404978.
14
Calculate the highest common divisor of 853 and 386.
1
Calculate the greatest common divisor of 66 and 167673.
33
What is the highest common factor of 33 and 2223177?
33
Calculate the highest common factor of 27604 and 309.
103
What is the highest common factor of 1477 and 791?
7
What is the highest common divisor of 564188 and 752?
188
What is the highest common divisor of 666 and 326118?
222
Calculate the greatest common factor of 1476 and 146616.
492
What is the greatest common divisor of 116688 and 13?
13
What is the greatest common divisor of 101 and 3562270?
101
What is the greatest common factor of 98 and 78484?
14
What is the greatest common factor of 35854 and 9062?
394
What is the highest common divisor of 180 and 66996?
36
What is the greatest common factor of 131 and 108337?
131
What is the highest common factor of 505003 and 349?
349
What is the highest common divisor of 228770 and 30?
10
What is the greatest common divisor of 98527 and 2002?
143
What is the highest common factor of 7924 and 476?
28
Calculate the highest common factor of 56 and 5464.
8
Calculate the highest common factor of 179 and 1131817.
179
Calculate the greatest common factor of 704 and 3392.
64
What is the greatest common factor of 77 and 3570?
7
What is the highest common factor of 25874 and 16252?
34
What is the greatest common factor of 3009 and 16048?
1003
Calculate the highest common factor of 4737131 and 7.
7
What is the greatest common divisor of 134220 and 2340?
60
What is the highest common factor of 4 and 94156?
4
Calculate the greatest common divisor of 3150 and 3200.
50
Calculate the highest common divisor of 86 and 111843.
43
What is the highest common divisor of 200813 and 23?
23
Calculate the greatest common divisor of 2720 and 643705.
85
Calculate the highest common factor of 148 and 10693.
37
What is the highest common factor of 102 and 42738?
102
What is the greatest common factor of 354 and 8201?
59
Calculate the greatest common divisor of 12 and 408516.
12
What is the greatest common divisor of 575160 and 600?
120
Calculate the greatest common factor of 244 and 197396.
244
Calculate the greatest common factor of 912 and 1242448.
304
What is the greatest common divisor of 25362 and 15?
3
Calculate the greatest common divisor of 22489 and 68513.
523
What is the highest common divisor of 576 and 34416?
144
What is the highest common divisor of 328946 and 184?
46
Calculate the highest common factor of 1104 and 3012.
12
What is the greatest common factor of 252 and 495?
9
Calculate the greatest common factor of 154 and 428142.
22
What is the highest common factor of 945 and 104841?
27
Calculate the greatest common factor of 52 and 1466478.
26
What is the highest common divisor of 96 and 769716?
12
What is the greatest common factor of 101 and 4208367?
101
What is the highest common factor of 1505 and 637?
7
What is the highest common factor of 621776 and 2?
2
Calculate the greatest common factor of 88 and 68750.
22
What is the highest common divisor of 57 and 58767?
57
What is the highest common divisor of 5680 and 96?
16
What is the highest common divisor of 100 and 1037600?
100
Calculate the highest common factor of 53067 and 15729.
147
Calculate the highest common divisor of 117581 and 614.
307
What is the highest common divisor of 62 and 8153?
31
Calculate the highest common divisor of 41510 and 112.
14
What is the highest common factor of 914603 and 111?
37
Calculate the greatest common factor of 764 and 1388.
4
What is the greatest common factor of 8869 and 1086?
181
Calculate the highest common divisor of 2032 and 4621276.
508
What is the highest common factor of 144 and 77712?
48
Calculate the highest common factor of 355 and 1871.
1
Calculate the greatest common divisor of 40740 and 5460.
420
Calculate the greatest common divisor of 765252 and 29.
29
Calculate the greatest common divisor of 6924 and 408.
12
Calculate the greatest common factor of 4060 and 1575.
35
What is the highest common factor of 148065 and 60?
15
Calculate the greatest common divisor of 72299 and 367.
367
What is the highest common divisor of 20586 and 48180?
438
What is the greatest common divisor of 126 and 3380958?
126
Calculate the greatest common factor of 9 and 33336.
9
Calculate the greatest common divisor of 1537 and 35934.
53
What is the greatest common divisor of 6408034 and 142?
142
Calculate the greatest common divisor of 21408 and 6690.
1338
What is the highest common factor of 6 and 2174?
2
What is the greatest common factor of 13887 and 506104?
1543
What is the highest common divisor of 14854 and 189?
7
Calculate the highest common divisor of 114 and 39900.
114
Calculate the highest common divisor of 90 and 379770.
30
Calculate the highest common factor of 74 and 383986.
74
Calculate the greatest common factor of 56953 and 338.
169
Calculate the highest common factor of 196710 and 37130.
790
What is the highest common factor of 392 and 4410?
98
What is the greatest common factor of 22199 and 1817?
79
Calculate the highest common factor of 1312 and 1107.
41
What is the greatest common divisor of 871630 and 30?
10
What is the greatest common divisor of 682 and 5511?
11
Calculate the greatest common divisor of 1265 and 3565.
115
Calculate the highest common factor of 3 and 1137645.
3
Calculate the highest common divisor of 40220 and 40.
20
Calculate the greatest common divisor of 650 and 2750.
50
Calculate the highest common divisor of 79054 and 638.
58
What is the highest common divisor of 161 and 5426505?
161
What is the greatest common divisor of 4699 and 12065?
127
What is the greatest common factor of 23695 and 19180?
35
Calculate the highest common divisor of 11696 and 1229542.
1462
Calculate the greatest common divisor of 648573 and 222.
111
Calculate the greatest common factor of 245 and 1968820.
245
What is the highest common divisor of 29543 and 10483?
953
Calculate the greatest common factor of 408 and 232968.
408
Calculate the greatest common divisor of 104992 and 659481.
3281
Calculate the highest common divisor of 17773 and 35.
7
Calculate the greatest common divisor of 272724 and 12.
12
What is the greatest common divisor of 169 and 3679?
13
Calculate the highest common divisor of 56609 and 7.
7
Calculate the greatest common divisor of 484 and 1078.
22
Calculate the highest common factor of 33858 and 4521.
33
What is the greatest common divisor of 1716 and 99?
33
What is the greatest common divisor of 80168 and 396?
44
What is the highest common divisor of 18515 and 203?
7
Calculate the highest common factor of 9 and 130623.
3
Calculate the greatest common factor of 650 and 1570.
10
What is the greatest common divisor of 22586 and 5401?
491
What is the highest common factor of 260239 and 12656?
791
What is the greatest common divisor of 27233 and 2147?
113
What is the highest common factor of 1040 and 572780?
260
What is the highest common divisor of 737 and 407?
11
What is the greatest common factor of 21872 and 688?
16
Calculate the greatest common factor of 739104 and 96.
96
What is the highest common divisor of 1798 and 158746?
58
What is the greatest common factor of 161473 and 13?
13
Calculate the greatest common factor of 642 and 365726.
214
Calculate the greatest common divisor of 4041 and 423.
|
{
"pile_set_name": "DM Mathematics"
}
|
2*h(w) + 5*u(w). Find the first derivative of v(k) wrt k.
-8*k**3 - 69*k**2
Suppose 2*b - 3 = 1. Suppose -4*t + 17 - 45 = -b*s, 3*t - 28 = -2*s. Find the second derivative of 2*l**5 + 2*l - 14 + s wrt l.
40*l**3
Let t(m) = 14*m**4 + 3*m**3 + 7*m**2 - 8. Let l(q) = q**4 - q**3 - q**2 + 1. Let c(u) = -6*l(u) - 2*t(u). What is the third derivative of c(k) wrt k?
-816*k
What is the first derivative of 548 + 17*t**2 - 126*t - 20*t**2 - 180 + 28*t wrt t?
-6*t - 98
What is the third derivative of -2*q**4 + 118*q**6 + 328*q**2 + 171*q**6 + 2*q**4 wrt q?
34680*q**3
Find the third derivative of 104*z**2 + 101*z**2 + 5175*z**4 - 5331*z**4 + 15*z**2 wrt z.
-3744*z
Let k be ((-28)/6)/(3/9). Let f(h) = h - 1. Let v = 22 + -20. Let j(q) = 10*q - 8. Let c(x) = k*f(x) + v*j(x). Differentiate c(y) with respect to y.
6
Let d(j) be the second derivative of 0*j**2 + 23/12*j**4 + 3/4*j**5 + 0 + 0*j**3 - 15*j. Find the third derivative of d(v) wrt v.
90
Suppose 11 = 2*g - 5*w - 7, -2*g - 4*w = 0. What is the third derivative of -12*c**3 + 24*c**3 - 12*c**3 - 27*c**2 + 23*c**g wrt c?
552*c
Let k(b) be the first derivative of 253*b**7/7 - b**3 + 16*b + 308. Find the third derivative of k(u) wrt u.
30360*u**3
Let o = -30 - -33. Suppose -o*u - 5*n = -4, n - 4 = 2*n. Find the third derivative of 2*c - 2*c + 5*c**2 - u*c**6 + 7*c**2 wrt c.
-960*c**3
Suppose -2*m - 14 + 2 = -3*g, 2*m + 6 = 0. Find the third derivative of -6*c**4 - 7*c**4 - 6*c**4 - c**2 - 3*c**g wrt c.
-456*c
Find the third derivative of 0*z**3 + 24 + 4*z**2 + 24*z**6 + 0*z**3 + 4*z**6 - 26 wrt z.
3360*z**3
What is the second derivative of -10*c + c**2 + 4 + 2 + 6*c - 6 - 6 + 47*c**4 wrt c?
564*c**2 + 2
Suppose j - 3*j + 10 = 0. Suppose -1 = 2*c - j. What is the second derivative of c*n**2 + 2*n - 6*n**2 - n**2 wrt n?
-10
Let c(t) = 8*t**4 - 5*t**3 + 16*t + 10*t**3 + 0*t**3 - 5. Let d(u) = u**4 + u**3 - 1. Let b(y) = -c(y) + 5*d(y). Find the second derivative of b(v) wrt v.
-36*v**2
What is the first derivative of -214*l - 159 - 76 + 13 - 22 wrt l?
-214
Let d = -242 + 375. What is the third derivative of 9*x**2 + 3 - 3 - 140*x**6 + d*x**6 wrt x?
-840*x**3
What is the second derivative of 9*h**4 - 39*h**4 - 96*h**3 + 32*h**4 + 1 + 12*h wrt h?
24*h**2 - 576*h
Let z(i) be the second derivative of 13*i**3/3 - 75*i**2/2 - 104*i. What is the derivative of z(m) wrt m?
26
Let p(o) = -o**3 - 38*o**2 - 38*o - 32. Let y be p(-37). Suppose 0 = 4*s - 0*s - 172. What is the third derivative of -y*r**4 - 43*r + s*r - 5*r**2 wrt r?
-120*r
Suppose 0 = -2*u + 3*b - 4 - 4, -b = -4. Suppose w - u = 2. Find the first derivative of w*l - 2*l + 4 - 2 + 5*l wrt l.
7
Let q(s) = -s**3 + 5*s**2 + 4*s + 5. Let d be q(6). Let m = 9 + d. Find the third derivative of -6*z**2 + 2*z**5 + 11*z**m - 3*z**2 wrt z.
120*z**2
Suppose -r = -0*r - 6. What is the third derivative of -r*k**3 - k**2 + 4*k**3 - 2*k**2 + 10*k**3 wrt k?
48
Suppose -i + 4*b + 9 = -13, 5*i - 4*b - 78 = 0. Find the first derivative of 7*t**2 + 0*t**3 - 15 - i*t**3 - 7*t**2 wrt t.
-42*t**2
Let a = -43 + 45. Find the third derivative of 29*l**2 + 5*l**a - 4*l**3 + 4*l**3 + 32*l**5 wrt l.
1920*l**2
Find the first derivative of 3*l**2 - 3 - 7*l - 2 - l**2 - 20 wrt l.
4*l - 7
Let l(u) be the second derivative of 31*u**5/20 + 61*u**3/2 - 32*u + 1. What is the second derivative of l(b) wrt b?
186*b
Let a(m) be the first derivative of 2*m**5/5 + 22*m**2 - 710*m + 506. Differentiate a(x) wrt x.
8*x**3 + 44
Suppose 33*t + 5*h = 35*t + 19, 2*h = 10. Let y(n) be the second derivative of 0*n**t - 9/2*n**2 + 7/12*n**4 + 4*n + 0. What is the derivative of y(s) wrt s?
14*s
What is the first derivative of 14 + 162 + 178*a + 2*a**2 - 83*a - 35 wrt a?
4*a + 95
Let z(w) be the third derivative of 4*w**7/35 + 13*w**5/30 + 13*w**2. What is the third derivative of z(f) wrt f?
576*f
Let o(i) = 3*i**4 + 16*i - 5. Let z(x) = -x + 1. Let v(r) = -o(r) - 6*z(r). Let k(g) be the first derivative of v(g). Find the first derivative of k(f) wrt f.
-36*f**2
Let p(h) be the first derivative of -14 - 4*h**4 + 0*h + 0*h**2 + 1/3*h**3. What is the third derivative of p(y) wrt y?
-96
Let q be (-4)/((-8)/3)*(-56)/(-42). Suppose 5*u = 3 + 22. Find the third derivative of -a**q - a**2 - 2*a**2 + u*a**2 + 5*a**3 wrt a.
30
Let f(n) = -n**2 + 4*n. Let o be f(3). Find the second derivative of 21 + i**4 - 21 + 9*i + o*i**4 wrt i.
48*i**2
Let b(l) = -l**4 - l**3. Let z(m) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
22
Calculate the common denominator of -145/6 and ((-927)/27)/((-26)/(-3)).
78
Let g(x) = -2*x - 1. Let t be ((-9)/6)/((-1)/2). Suppose 3 = 2*r - t*r. Calculate the smallest common multiple of 10 and g(r).
10
What is the common denominator of 45/2 and 375/(-20)*(-12)/70?
14
Let r = -1364 - -4144/3. What is the common denominator of (-2)/(-6)*(-18)/5 and r?
15
Suppose 2*h - 8 = r, -3*r - 3 - 1 = -2*h. Suppose r*n - 6 = -5*c, -5*n + 14 + 1 = 2*c. What is the least common multiple of 16 and (-6)/(2*n/(-18))?
144
Let n = -33 - -55. Calculate the lowest common multiple of n and (-2)/2*6*-1.
66
Suppose -k - 5 = 0, 5*h + 0*k - 35 = 2*k. Suppose 4*j + o = -o + 54, 0 = j + h*o - 9. What is the least common multiple of 18 and j?
126
Let u(d) = d**3 - d**2 - 1. Let p(l) = 6*l**3 - 9*l**2 - 3*l - 9. Let x(f) = -p(f) + 5*u(f). Let m = -10 + 14. What is the least common multiple of x(m) and 12?
48
Let c = 10 - 6. Let n(f) = -f**2 - 4*f - 3. Calculate the least common multiple of n(-2) and c.
4
Let f = -1337 + 6746/5. Find the common denominator of 189/30 - 1/2 and f.
5
Let d = -741/4 + 193. What is the common denominator of -83/10 and d?
20
Let w = -2347283/241990 + -2/24199. What is the common denominator of w and 75/8?
40
Suppose 4*c - 36 = -8. What is the smallest common multiple of 6 and c?
42
Let c = -49 - -64. Calculate the least common multiple of c and 18.
90
Let s = -23052157/5210 - -2552/521. Let p = s - -4412. What is the common denominator of p and -5/4?
20
Calculate the least common multiple of -2 + 9 - (-3 - -1 - -1) and 11.
88
Let j = 1738 - 1139. Let p = -7183/12 + j. Let u = -3206 - -25687/8. Calculate the common denominator of p and u.
24
Let w = -20 - -20. Suppose w = -r - 4*f - 14, 5*r - 15 = f - 4*f. Calculate the smallest common multiple of 2 and r.
6
Calculate the lowest common multiple of 11 and 64/(-12)*(20/8 - 4).
88
Let j(b) = b**2 + 7*b + 18. Calculate the least common multiple of j(-4) and 8.
24
Suppose 7 + 1 = k + 3*x, 3*k = -3*x + 48. Suppose -119 = 4*n + 5. Let b = 49 + n. Calculate the lowest common multiple of b and k.
180
What is the common denominator of (-16)/(-56) - 34/(-224) and -31/2?
16
Suppose -4*a = 41 + 31. What is the common denominator of -20/11 and (-1)/3 + 903/a?
22
Calculate the common denominator of (-1690)/72 + 2/9 and 35/12.
12
Let q be ((-1108)/(-2))/(31560/(-604)). Let v = -2/789 - q. Let x = 480913/22722 + 6/3787. Find the common denominator of x and v.
30
Let o(n) = -n**3 + 4*n**2 + 3*n - 3. Let d = 34 + -19. Let p = -5 + d. Calculate the least common multiple of p and o(2).
110
Let d be -2*3/12*-34. What is the common denominator of ((-15)/(-2))/((-6)/d) and -59/22?
44
Let g = -38 - -100. Calculate the common denominator of 3/16 and 4/14 + g/(-168).
48
Let f(y) = y + 9. Calculate the smallest common multiple of f(-5) and 234/12 + (-1)/(-2).
20
Find the common denominator of 111/28 and ((-37)/(-5))/(8/(-20)).
28
Let b = 21/158 - 7415/1106. Suppose 0 = 4*z + i + 28, -2*z - 3*z - 22 = -2*i. Calculate the common denominator of 498/99 + 4/z and b.
77
Let u = -596/115 - 97/23. What is the common denominator of -89/6 and u?
30
Suppose -3*g = -4*a - 73, -g - 4*a + 16 + 35 = 0. Calculate the least common multiple of 10 and g.
310
Let p = 2669/2 - 86748/65. Let b = p - 1819/780. Calculate the common denominator of b and ((-10)/8)/(6/(-116)).
12
Suppose 0 = 2*y + 2*y. Let c be y/(-4) + 169*14. Let r = -9561/4 + c. What is the common denominator of r and -99/20?
20
Calculate the common denominator of ((-26)/(-12))/(-5 + 3) and 1/8*(-10)/3.
12
Suppose -z + 4 + 7 = 0. What is the lowest common multiple of z and 15?
165
Let v = -418361201/546 + 766232. Let x = 2/39 - v. What is the common denominator of -53/22 and x?
154
Let y = -890453/210650 + -1/9575. What is the common denominator of 3/(-15) - (-1)/(-4) and y?
220
Let l be 6 - 5 - (-2 - -9). Let h be 13/(-64) - l/24. Let r = h + 1133/64. Calculate the common denominator of 119/10 and r.
20
Let n be (0/(-3 - -2))/1. Suppose x + n - 5 = 0. Suppose -x*i + 96 = 4*c, 0 = -3*c - 3 - 0. Calculate the least common multiple of i and 10.
20
Let x = 255 + 180. Suppose 5 = j - 6. Find the common denominator of j and 2/(-10)*x/12.
4
Let y(l) = l**2 + 9*l - 2. Let w be y(-7). Find the common denominator of 47/9 and (3/9)/(w/(-66)).
72
Let s = 14 + -5. Let j = 27 - 17. Calculate the least common multiple of s and j.
90
Let r be (-145)/(-3)*(-9)/54. Let h = r + 475/18. What is the common denominator of h and 24?
3
Let l be (-59203)/(-112) + (-4)/14. Let n = l - 2119/4. What is the common denominator of n and 113/10?
80
Let k(t) = -4*t**3 - 2*t**2 - 2. Let z(q) = 4*q - 6. What is the lowest common multiple of k(-2) and z(4)?
110
Suppose 2*g + b - 10 = 0, 4*b = -2*g + b + 2. What is the lowest common multiple of 12 and 142/g + 4/(-14)?
60
Let y = -12 + 17. Suppose 5*h + 2 = -4*b, -2*b + 0*b + y*h + 14 = 0. Let v = -9 + 17. What is the least common multiple of v and b?
8
Let q = -33559/10 + 3352. Calculate the common denominator of -25/12 and q.
60
Suppose -9 + 18 = v. Calculate the least common multiple of 11 and v.
99
What is the common denominator of 0 + 0 - -46*(-5)/36 and 77/15?
90
Suppose 0 = 4*u - 36 - 28. Calculate the least common multiple of 14 and u.
112
Let o = 1065/14 + -410/7. Calculate the common denominator of o and 2590/(-600) + 1/(-3).
20
Let b be ((-742)/(-4))/(3/(-6)). Let o = -
|
{
"pile_set_name": "DM Mathematics"
}
|
is the biggest value in 2, -0.4, -0.16, 47/25?
2
Which is the fourth smallest value? (a) -0.08 (b) -0.26 (c) -1.66 (d) -2
a
Which is the second biggest value? (a) 0.2 (b) 14 (c) 1/2 (d) -15/7 (e) -188
c
What is the third biggest value in -3, 0.3, -2, -1/3, -0.5, 239?
-1/3
What is the fourth biggest value in -0.59, 2/7, 547, 0.3?
-0.59
Which is the third smallest value? (a) 2/3 (b) -1/3 (c) 0.8 (d) -4.25 (e) 0.3
e
Which is the fifth biggest value? (a) -0.4 (b) 0.1 (c) -6 (d) -25 (e) -2/791
d
Which is the fifth biggest value? (a) -27 (b) 3/8 (c) -2/5 (d) 0.23 (e) 4
a
Which is the fourth smallest value? (a) 0.1 (b) 67 (c) -0.4 (d) -2/3 (e) 3 (f) -284
a
Which is the smallest value? (a) 3/5 (b) 0.022 (c) -13/92
c
What is the second biggest value in -11, -5, -26.75?
-11
What is the third biggest value in -6, 5, -0.09928?
-6
Which is the fourth biggest value? (a) -0.4 (b) -0.05 (c) -404 (d) -0.3 (e) -5
e
What is the third smallest value in 40, -0.4, -1118?
40
What is the second smallest value in 0.04, -0.01, -0.09, 17?
-0.01
What is the second smallest value in 1, 147, 1/4, -0.2, -0.6, 3?
-0.2
What is the fourth smallest value in 0.072, 22, 95, -2/5?
95
What is the second smallest value in -7/1667, -2/3, -1?
-2/3
What is the fourth biggest value in -2/7, -4, 35.2, -2901?
-2901
What is the third smallest value in -5, -3/2, 1, -1/2, -9, 63?
-3/2
What is the fourth biggest value in -0.2, 0.4, 1, 4, 0.02, 15?
0.4
What is the smallest value in 0.4, -3/2, 0.64, 0.6, 5?
-3/2
Which is the fifth biggest value? (a) 5 (b) -49 (c) 0.1 (d) -3 (e) 0 (f) -55
b
Which is the fourth smallest value? (a) 4 (b) -0.1 (c) 3/19 (d) 1.7 (e) 0.2 (f) -0.4
e
What is the fourth biggest value in -13.2, 0, -5, -1/742?
-13.2
Which is the second smallest value? (a) 91598 (b) -2/39 (c) 0
c
Which is the fifth smallest value? (a) 1/2 (b) 1 (c) -7 (d) -2/1397 (e) 2/7
b
What is the second smallest value in -7/9, 2, -8, 5?
-7/9
Which is the fifth biggest value? (a) -1262 (b) -2/11 (c) -5 (d) -0.4 (e) 1.4
a
Which is the biggest value? (a) 1/4 (b) -585 (c) 0 (d) -8 (e) -0.1 (f) -0.4
a
What is the third biggest value in -5, -99, 4, 15, -4/3?
-4/3
What is the smallest value in 2/5, -5, 1, -2, -307, 2.2?
-307
Which is the smallest value? (a) -2 (b) -1112 (c) -188
b
What is the fourth biggest value in 1/9, 1, -288, 7, -2?
-2
What is the second biggest value in -1, -6, 7, 1/44?
1/44
What is the smallest value in 3, 2, -3, 25, -10/173?
-3
Which is the fourth smallest value? (a) -0.073 (b) 8.4 (c) -2/7 (d) 5 (e) -3
d
Which is the smallest value? (a) -1/2 (b) 5616 (c) 2
a
Which is the second smallest value? (a) 1218.4 (b) -0.4 (c) 2 (d) -2 (e) -0.2 (f) 5
b
Which is the fifth biggest value? (a) 1/2 (b) 6695 (c) 0.3 (d) -3 (e) -0.2
d
Which is the second smallest value? (a) 1/23 (b) 46 (c) -1/9
a
Which is the fifth biggest value? (a) 0.1 (b) -0.3 (c) -1/2 (d) -1051.41 (e) -5
d
What is the third smallest value in -205, 6, 1, 3?
3
What is the fourth smallest value in 1/2, 6/19, -3/4, -3, 8/9?
1/2
Which is the second smallest value? (a) 0.4 (b) -3193/199 (c) 2 (d) -3
d
Which is the biggest value? (a) -19/3 (b) 0 (c) 5 (d) -3
c
What is the third smallest value in 432, -18, 2?
432
Which is the fifth biggest value? (a) -5 (b) -1/4 (c) 91 (d) 5 (e) -0.1 (f) 0.25
b
Which is the biggest value? (a) -1/127 (b) 234 (c) -5
b
What is the second biggest value in 0, -442/29, -0.13, 1?
0
What is the second smallest value in -47, 1423/5, 0.2?
0.2
What is the third biggest value in 2, 3/2, 0.5, 138, -0.4, 5?
2
Which is the smallest value? (a) 0.2 (b) -28.087 (c) 2 (d) -1 (e) -5
b
What is the second smallest value in 0.3, 40685, 0, 0.5?
0.3
What is the fourth biggest value in -142, 3/2, 0.2, -4, 2/11, 1/2?
2/11
Which is the fifth smallest value? (a) -0.3 (b) 0.5 (c) 1/5 (d) 1.3 (e) 2/7
d
What is the smallest value in 18.2, 5, 1/6, -229, 1.6?
-229
What is the third biggest value in 5/4, -463/2, 16?
-463/2
What is the sixth biggest value in -7, -2, 1, -10, 2, -101?
-101
Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -2 (d) 257 (e) 31 (f) -3
a
Which is the third biggest value? (a) -2/9 (b) 1/5 (c) -3/5 (d) -
|
{
"pile_set_name": "DM Mathematics"
}
|
2*x - 12*x + 20 = -10*x for x.
-2
Solve 298*z - 122*z + 562*z + 2952 = 0 for z.
-4
Solve 11*c + c - 83*c = -710 for c.
10
Solve 195*q = -496 + 301 for q.
-1
Solve -15*k = -k - 86*k + 1224 for k.
17
Solve 5401 = -147*f - 162*f - 2015 for f.
-24
Solve 502*m = 69*m - 6928 for m.
-16
Solve -159*p + 178*p = 361 for p.
19
Solve -35*v - 11263 = -10808 for v.
-13
Solve 46*f - 679 + 426 = 667 for f.
20
Solve -7*j + 25*j = -5*j - 322 for j.
-14
Solve 25*z - 246 + 196 = 0 for z.
2
Solve -48*i - 9 = -39*i for i.
-1
Solve 0 = 72*t - 199*t for t.
0
Solve -67*z = 112*z + 66*z - 1470 for z.
6
Solve 1141 = -23*g - 286*g - 1331 for g.
-8
Solve 96*w + 18*w - 1026 = 0 for w.
9
Solve 713*v - 822 = 789*v - 2342 for v.
20
Solve -1156 + 106 = 105*p for p.
-10
Solve -49*i + 23 = 50*i - 122*i for i.
-1
Solve -76*w + 27*w + 4148 = 4099 for w.
1
Solve -60*t + 273 + 387 = 0 for t.
11
Solve 1537 - 1638 = 192*v + 2971 for v.
-16
Solve 6*r + 40*r - 1698 = -456 for r.
27
Solve 46 = 342*b + 221 - 1201 for b.
3
Solve 0 = -61*p - 173 - 71 for p.
-4
Solve -720*q - 16434 = -1081 - 233 for q.
-21
Solve -66 + 230 = -4*x + 116 for x.
-12
Solve 88 = -173*r + 151*r for r.
-4
Solve -8346 = 248*i - 8842 for i.
2
Solve 0 = -86*k - 239*k - 4550 for k.
-14
Solve 9*g - 2321 = 111*g + 109*g for g.
-11
Solve 96*i + 139 + 23 = -30 for i.
-2
Solve 175*o - 631 = 420 - 1 for o.
6
Solve -479504 + 481000 = 88*y for y.
17
Solve 563*u - 290*u - 284*u = 44 for u.
-4
Solve 56*w + 100*w = -624 for w.
-4
Solve 221*s + 400*s - 8694 = 0 for s.
14
Solve 36*u - 67 - 162 = 167 for u.
11
Solve 12991 = -76*v + 15499 for v.
33
Solve 147*i + 509*i - 12525 - 1907 = 0 for i.
22
Solve -482 = 148*c + 2330 for c.
-19
Solve -28*d - 127*d + 930 = 0 for d.
6
Solve 52*p + 30*p = -1136 + 152 for p.
-12
Solve -132*v = -96007 + 93763 for v.
17
Solve 48*p = 21*p - 28*p + 330 for p.
6
Solve -135*t + 271*t - 117*t = -380 for t.
-20
Solve 263*p + 883 + 169 = 0 for p.
-4
Solve 414 - 1129 = -29*c - 36*c for c.
11
Solve -420*g + 213 = -349*g for g.
3
Solve 540*a = 553*a for a.
0
Solve 13*y = -31*y + 2500 - 1400 for y.
25
Solve 41 + 456 + 583 = 90*o for o.
12
Solve 169 = -89*g - 408 + 43 for g.
-6
Solve 66*a - 21 - 8 = 37 for a.
1
Solve -216*g + 248*g - 56 = 40 for g.
3
Solve 88 - 14 = -67*q + 7 for q.
-1
Solve 0 = -85*p - 84*p + 173*p - 40 for p.
10
Solve 3*g - 20*g = 24*g - 656 for g.
16
Solve 36*j + 674 - 458 = 0 for j.
-6
Solve 25*p - 727 + 399 = -403 for p.
-3
Solve -228*z - 121*z = -25*z - 8100 for z.
25
Solve 31*s = -13*s + 25*s + 475 for s.
25
Solve -3061 = 7*r - 3047 for r.
-2
Solve -5*t = 40*t - 285 - 30 for t.
7
Solve -7925 + 8321 = 22*y for y.
18
Solve 0 = 58*a - 37 - 44 - 209 for a.
5
Solve -2436 = 238*d - 35*d for d.
-12
Solve 9488*z + 72 = 9511*z - 89 for z.
7
Solve -99*t - 182 + 217 = -757 for t.
8
Solve -43*v - 29 = 251 + 21 for v.
-7
Solve -230*m = -863 - 2357 for m.
14
Solve 0 = -21*r - 983 + 689 for r.
-14
Solve 74 - 474 - 176 = -48*c for c.
12
Solve -3 + 8 - 5 = 40*f for f.
0
Solve 59 = -30*v - 241 for v.
-10
Solve -108*w - 1435 + 3379 = 0 for w.
18
Solve -1832 + 2274 = -17*i for i.
-26
Solve 0 = 10*q - 40 + 150 for q.
-11
Solve 0 = 9344*w - 9323*w + 63 for w.
-3
Solve 195*j = -628 - 542 for j.
-6
Solve 91*i + 51 + 60 = -71 for i.
-2
Solve 0 = 30*u - 95*u - 910 for u.
-14
Solve 63*a = 17 + 46 for a.
1
Solve 416*k + 91*k + 1332 - 8430 = 0 for k.
14
Solve 0 = -83*q + 95*q - 22 + 154 for q.
-11
Solve 6*g - 662 + 644 = 0 for g.
3
Solve -41 + 1146 = 65*s for s.
17
Solve 3*s = 1383 - 1410 for s.
-9
Solve 0 = -169*s - 149 - 1879 for s.
-12
Solve 96*v = -103*v + 227*v + 504 for v.
-18
Solve 0 = -39*r + 123*r + 1677 + 3 for r.
-20
Solve -22*l = 5 + 83 for l.
-4
Solve -389 + 391 = -2*m for m.
-1
Solve -261*s - 53*s + 5966 = 0 for s.
19
Solve -232*l + 8848 - 3976 = 0 for l.
21
Solve -2659 = 358*i - 1504*i + 14531 for i.
15
Solve -620 + 889 + 4639 = 409*s for s.
12
Solve -18*s - 14*s - 30 = -29*s for s.
-10
Solve -35*b = 363 + 95 + 32 for b.
-14
Solve -2*v = 2045 - 4193 + 2080 for v.
34
Solve -45*t + 40 = 233 + 212 for t.
-9
Solve 626 - 3166 = 254*w for w.
-10
Solve 0 = 18*t - 100 - 8 for t.
6
Solve 1598*v = 1614*v - 368 for v.
23
Solve 5*b + 17*b + 128 = 6*b for b.
-8
Solve 7477 = -69*w - 489*w - 4241 for w.
-21
Solve 182 = 83*g - 150 for g.
4
Solve 53*x
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest integer?
4759
What is the seventh root of 70672 to the nearest integer?
5
What is 5442302 to the power of 1/2, to the nearest integer?
2333
What is 542475 to the power of 1/10, to the nearest integer?
4
What is 14167660 to the power of 1/2, to the nearest integer?
3764
What is the square root of 5810666 to the nearest integer?
2411
What is the third root of 12101801 to the nearest integer?
230
What is 20309089 to the power of 1/2, to the nearest integer?
4507
What is the square root of 311277 to the nearest integer?
558
What is 932374 to the power of 1/7, to the nearest integer?
7
What is the third root of 63276 to the nearest integer?
40
What is the eighth root of 1694782 to the nearest integer?
6
What is the square root of 1368856 to the nearest integer?
1170
What is 392638 to the power of 1/2, to the nearest integer?
627
What is the seventh root of 11934 to the nearest integer?
4
What is 2656599 to the power of 1/4, to the nearest integer?
40
What is the fourth root of 158606 to the nearest integer?
20
What is 1269 to the power of 1/10, to the nearest integer?
2
What is 1210470 to the power of 1/3, to the nearest integer?
107
What is the third root of 505078 to the nearest integer?
80
What is the square root of 494817 to the nearest integer?
703
What is 820602 to the power of 1/2, to the nearest integer?
906
What is 19513096 to the power of 1/2, to the nearest integer?
4417
What is the square root of 258349 to the nearest integer?
508
What is 670520 to the power of 1/6, to the nearest integer?
9
What is 23014 to the power of 1/2, to the nearest integer?
152
What is the cube root of 3151502 to the nearest integer?
147
What is 547986 to the power of 1/2, to the nearest integer?
740
What is the third root of 4067681 to the nearest integer?
160
What is the tenth root of 106592 to the nearest integer?
3
What is the square root of 880198 to the nearest integer?
938
What is 13384158 to the power of 1/8, to the nearest integer?
8
What is the third root of 9665969 to the nearest integer?
213
What is the cube root of 64979 to the nearest integer?
40
What is 734089 to the power of 1/4, to the nearest integer?
29
What is the sixth root of 5222321 to the nearest integer?
13
What is 3916148 to the power of 1/2, to the nearest integer?
1979
What is the seventh root of 106379 to the nearest integer?
5
What is 24144481 to the power of 1/6, to the nearest integer?
17
What is 10530920 to the power of 1/3, to the nearest integer?
219
What is the square root of 169609 to the nearest integer?
412
What is 467256 to the power of 1/7, to the nearest integer?
6
What is 18319229 to the power of 1/2, to the nearest integer?
4280
What is the cube root of 254761 to the nearest integer?
63
What is 141667 to the power of 1/4, to the nearest integer?
19
What is the seventh root of 252770 to the nearest integer?
6
What is 439601 to the power of 1/9, to the nearest integer?
4
What is 5104164 to the power of 1/2, to the nearest integer?
2259
What is the square root of 8879691 to the nearest integer?
2980
What is 71666 to the power of 1/3, to the nearest integer?
42
What is the cube root of 1621111 to the nearest integer?
117
What is 6133348 to the power of 1/2, to the nearest integer?
2477
What is the square root of 25854611 to the nearest integer?
5085
What is the cube root of 764462 to the nearest integer?
91
What is the fourth root of 287678 to the nearest integer?
23
What is the tenth root of 306982 to the nearest integer?
4
What is 53222 to the power of 1/2, to the nearest integer?
231
What is the cube root of 316211 to the nearest integer?
68
What is the eighth root of 19429687 to the nearest integer?
8
What is the cube root of 10771292 to the nearest integer?
221
What is 110795 to the power of 1/3, to the nearest integer?
48
What is 3334055 to the power of 1/2, to the nearest integer?
1826
What is the third root of 27251439 to the nearest integer?
301
What is 9942466 to the power of 1/4, to the nearest integer?
56
What is the third root of 16757534 to the nearest integer?
256
What is 189015 to the power of 1/10, to the nearest integer?
3
What is the third root of 1444869 to the nearest integer?
113
What is the cube root of 869784 to the nearest integer?
95
What is 10725865 to the power of 1/2, to the nearest integer?
3275
What is the seventh root of 23855712 to the nearest integer?
11
What is 24513776 to the power of 1/3, to the nearest integer?
290
What is 169355 to the power of 1/2, to the nearest integer?
412
What is the square root of 8926084 to the nearest integer?
2988
What is the square root of 478791 to the nearest integer?
692
What is the square root of 8308873 to the nearest integer?
2883
What is the seventh root of 142906 to the nearest integer?
5
What is the seventh root of 23336 to the nearest integer?
4
What is the eighth root of 1447159 to the nearest integer?
6
What is the third root of 7723171 to the nearest integer?
198
What is the square root of 257623 to the nearest integer?
508
What is 38427455 to the power of 1/2, to the nearest integer?
6199
What is 3710024 to the power of 1/2, to the nearest integer?
1926
What is 472761 to the power of 1/3, to the nearest integer?
78
What is the cube root of 3966680 to the nearest integer?
158
What is 1632300 to the power of 1/9, to the nearest integer?
5
What is the square root of 3668693 to the nearest integer?
1915
What is 1786021 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 447898 to the nearest integer?
26
What is the tenth root of 24687256 to the nearest integer?
5
What is the cube root of 3855769 to the nearest integer?
157
What is 215395 to the power of 1/2, to the nearest integer?
464
What is the sixth root of 1138508 to the nearest integer?
10
What is the seventh root of 2827368 to the nearest integer?
8
What is the square root of 7620877 to the nearest integer?
2761
What is 787903 to the power of 1/3, to the nearest integer?
92
What is the square root of 24249980 to the nearest integer?
4924
What is the third root of 2059638 to the nearest integer?
127
What is the ninth root of 1064501 to the nearest integer?
5
What is the third root of 47174 to the nearest integer?
36
What is the square root of 1857112 to the nearest integer?
1363
What is 6037080 to the power of 1/2, to the nearest integer?
2457
What is the square root of 123348 to the nearest integer?
351
What is the fourth root of 194635 to the nearest integer?
21
What is the seventh root of 437566 to the nearest integer?
6
What is 17604900 to the power of 1/5, to the nearest integer?
28
What is 272515 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 310574 to the nearest integer?
13
What is 1529290 to the power of 1/2, to the nearest integer?
1237
What is 1034461 to the power of 1/8, to the nearest integer?
6
What is 319011 to the power of
|
{
"pile_set_name": "DM Mathematics"
}
|
30 = -c. Let q be ((4 - x) + 4)*-1. Give z(q).
-1
Let z(c) = 5*c**2 - c - 3. Let x(l) = 11*l**2 - 3*l - 4*l**2 - 8 + 8*l**2. Let p(r) = -3*x(r) + 8*z(r). What is p(2)?
-18
Let j(s) = -16*s - 18*s + 4 - 19 + 18*s - 2*s**2. Let k be j(-7). Let w(x) = -12*x**2 + x. Determine w(k).
-13
Let j(a) = -a**2 + 4*a + 7. Let w = 37 - 32. Let o be j(w). Let q(c) = -3*c + 4*c**2 + 1 + c**3 + 0*c**3 - 2*c**3. Calculate q(o).
3
Let x(t) = -2*t - 2. Let w = 213 - 75. Let r be (3 - w/24) + 2/(-8). Calculate x(r).
4
Let d(u) be the third derivative of -u**8/20160 - u**7/720 + u**6/240 + 11*u**5/60 + 13*u**2. Let m(x) be the third derivative of d(x). What is m(-8)?
-5
Let v(z) be the third derivative of -7/3*z**3 + 0 + 1/24*z**4 + 1/72*z**6 - 14*z**2 - 1/120*z**5 + 0*z. Let i(a) be the first derivative of v(a). What is i(1)?
5
Let d be 760/(-100)*((-3)/6 - -3). Let n(w) = w**2 + 19*w - 3. Calculate n(d).
-3
Let k(x) = 3 - 3 + 2 - x**3 - x**2 - 3*x + 6*x. Let a = -70 + 68. Determine k(a).
0
Let c(f) = f + 1. Let u be c(1). Let j be (3/u)/((-3)/(-10)). Let o(w) be the third derivative of -w**4/24 + 11*w**3/6 - 4*w**2. Calculate o(j).
6
Let p(m) = -m**2 - 2*m + 7. Let u be p(-5). Suppose 19*b = 23*b - 828. Let l(h) = b + h**2 - 213 + 7*h + h. What is l(u)?
-6
Let t(b) = 7*b**2 - 6 + b**2 - 6*b**2 + b**3 + b**2 - 7*b. Give t(-5).
-21
Let q(o) = -27 - 19 + 2*o + 56. What is q(-4)?
2
Let w(u) = u**2 + 3*u. Suppose 4*c = 3*s - 23, -4*s + 4*c + 32 = -0*c. Suppose 3*r + 1 = 2*d, 0*r = 3*r + s. What is w(d)?
4
Let s(n) = -n. Let l(i) = -i - 1. Let c be l(0). Let j be s(c). Let t(k) = 2*k - k - 2 - j + 2. Give t(-5).
-6
Let c(l) = -l**3 + 3*l**2 - 3*l + 1. Suppose -q - 21 = -9. Let d be (-51)/(-21) + q/28. Determine c(d).
-1
Let n = 9 + -3. Let c be (-9)/n + (-3)/2. Let k be (-4)/1 + c - -2. Let s(z) = -2*z + 1. Give s(k).
11
Let y(a) be the third derivative of -a**6/180 - a**5/120 - a**4/24 + 3*a**3/2 + 14*a**2. Let z(n) be the first derivative of y(n). Determine z(-2).
-7
Let v(u) = 0*u + 2 + 0 - 4*u + u**2. Let w be v(4). Let f(t) = -1 + t - 2*t - 3*t**2 - t + 2*t**3 + 2*t**w. Give f(-1).
-2
Let k(d) be the second derivative of d**6/120 - d**5/30 + d**3/6 - 7*d**2/2 - 10*d. Let j(l) be the first derivative of k(l). What is j(1)?
0
Suppose 5*p + 126 = 19*p. Let d(u) = -u**2 + 7*u + 8. What is d(p)?
-10
Let z(p) = -p**2 - 8*p + 14. Suppose -4*g - a = 41, 2*a = -a + 9. What is z(g)?
-19
Let w(z) = 3*z**2 - 10*z + 12. Let i(l) = 4*l**2 - 8*l + 14. Let b(g) = 2*i(g) - 3*w(g). Give b(13).
5
Let d(b) = -1. Let r(n) be the second derivative of -n**3/6 + n**2/2 + 3*n. Let u(g) = -d(g) + r(g). Determine u(3).
-1
Let r = 23 + -25. Let i be 1*(r + (-1 - -4)). Let q(t) = -t - 1. Calculate q(i).
-2
Suppose -17 + 1 = -2*j. Let d = 3 + j. Suppose -4*u - d = 13. Let i(c) = c + 3. Determine i(u).
-3
Let j(c) = -2*c - 20. Let m(r) = -r - 10. Let q(z) = -2*j(z) + 5*m(z). Suppose 2*b = -3*b + 4*k + 65, 0 = 2*k. Suppose 0 = -4*h - b - 7. What is q(h)?
-5
Let q(u) = 14*u**3 - 4*u**2 + 20. Let w(i) = -5*i**3 + i**2 - 7. Let m(x) = -4*q(x) - 11*w(x). Suppose 0 = -101*v + 80*v + 105. Determine m(v).
-3
Let o = 52 - 47. Let u(j) = -j**2 + 6*j - 3. Determine u(o).
2
Let i be 6/18 - (-14)/3. Let x(j) = 2*j**2 - 8*j + 5. Let l be x(i). Let y = -15 + l. Let d(f) = -f**2 - f + 4. Calculate d(y).
4
Let i(w) = w + 50. Let k be i(0). Let l(z) = 28*z + 25*z - 4 - k*z. Give l(4).
8
Let m(o) = -5 + 0*o + 1 + o. Let x = 214 - 217. Give m(x).
-7
Suppose 0 = 3*p + 2*p, m - 3*p - 5 = 0. Let x(z) = 6*z - m*z + 0*z - 1. What is x(5)?
4
Let w = 13 - 14. Let j(t) be the second derivative of -t**3/6 - t**2/2 - 18*t - 2. What is j(w)?
0
Let q(n) = -6*n - 11. Let u(a) = a. Let r(t) = q(t) + u(t). Let b be r(-2). Let l(x) be the second derivative of 3*x**5/20 - x**4/6 + x**2/2 - x. What is l(b)?
-4
Let j(v) = v**2 - 2*v + 2. Suppose -7*a = -4*a + 18. Let y = -12 - a. Let d be (-1)/1*y/2. Calculate j(d).
5
Suppose -4*n + 36 =
|
{
"pile_set_name": "DM Mathematics"
}
|
58/7 at least as big as -12522?
True
Which is greater: -10947 or -0.1?
-0.1
Does -1/224254 = 1?
False
Which is greater: 864848 or 1729693/2?
864848
Which is smaller: 21 or 115?
21
Which is smaller: -2357 or -2424?
-2424
Which is smaller: 15 or -10/19?
-10/19
Which is bigger: -1 or -667/743?
-667/743
Does -459314 = -0.1?
False
Are 36342/25 and 1453 equal?
False
Do 0 and -210/14659 have the same value?
False
Which is smaller: 990267/4 or 247567?
990267/4
Which is smaller: -3036 or -39?
-3036
Does 6420/97 = 66?
False
Which is smaller: 404 or 447?
404
Is 0 greater than or equal to -148/441?
True
Which is smaller: -16.34 or -63?
-63
Is -160 greater than -176?
True
Which is bigger: 525871 or 525880?
525880
Which is bigger: -34033 or -34039?
-34033
Which is bigger: -149 or -14172/95?
-149
Which is smaller: -3 or -59365?
-59365
Is 0 equal to 24/26881?
False
Which is greater: 1240 or -0.152?
1240
Is -2890 at most as big as -3110?
False
Which is smaller: -43884 or -43883?
-43884
Is 128159 < 128150?
False
Which is greater: 67 or -203?
67
Do -200077 and 5 have the same value?
False
Which is smaller: -0.248637 or -2/7?
-2/7
Is -49647 less than 12?
True
Are -5404 and -5404 non-equal?
False
Is 20 greater than or equal to 0.18444?
True
Is -1173979 at most -1173979?
True
Is -152 bigger than 3/13?
False
Is -4510/751 not equal to -7?
True
Which is bigger: 0 or 3267?
3267
Are 27418 and 27409 nonequal?
True
Which is bigger: -38/28351 or 1?
1
Which is smaller: 417274 or 417276?
417274
Which is greater: 8274 or 57916/7?
8274
Which is greater: -2755/46 or -60?
-2755/46
Is -2615 less than or equal to -1.85?
True
Which is smaller: 18687 or 56060/3?
56060/3
Which is smaller: -15/667 or -123?
-123
Is 56588 greater than 113173/2?
True
Which is greater: 1 or -31/117?
1
Is 5409 at least 5571?
False
Do -69 and 2526 have the same value?
False
Do 0.7 and -11/249 have different values?
True
Is 15298/25 != 612?
True
Which is smaller: -11234/21 or -534?
-11234/21
Which is smaller: 5 or -185183/4?
-185183/4
Is 1 less than -1/161245?
False
Are -51/30239 and 0 equal?
False
Which is bigger: 1 or -375/9251?
1
Is -13053 bigger than -13053?
False
Is 863833 <= 863834?
True
Which is bigger: -1 or -410/1069?
-410/1069
Does -3463 = -3463?
True
Which is smaller: -0.85 or -1015?
-1015
Do 0 and -46/3695 have the same value?
False
Which is smaller: 406 or 22?
22
Is 29 > 4654/161?
True
Is 3149/84 != 37?
True
Which is bigger: 341 or -1465?
341
Is -218.2 equal to -44?
False
Which is greater: -361522 or -1/12?
-1/12
Is 189712 smaller than 189715?
True
Which is bigger: 1147 or 1139?
1147
Is 281909 greater than or equal to 281907?
True
Is 12097 less than 84682/7?
True
Is 10/172329 less than or equal to 1?
True
Which is smaller: 44002/11 or 0?
0
Is 0 at least 3/2159818?
False
Which is greater: 363107 or 363109?
363109
Which is greater: 54 or 236?
236
Are -47 and -60955 non-equal?
True
Is 2 bigger than 149/79?
True
Do 126033 and 126034 have the same value?
False
Is 0.03 greater than or equal to 105141?
False
Is 34317 smaller than 34314?
False
Is 366 equal to 483?
False
Is -1 < -39/287?
True
Which is greater: -2237/8 or 0?
0
Which is smaller: 1372/61 or -2?
-2
Do 2702614 and 2702615 have the same value?
False
Is -9257/3 >= -43?
False
Is -5537 less than or equal to -5437?
True
Is -49634 at least as big as -49591?
False
Do -3164 and -22138/7 have the same value?
False
Which is bigger: -169 or 60?
60
Is 47 less than 1533/32?
True
Is -8681 <= -8684?
False
Which is bigger: 409226 or -1/4?
409226
Do -1358 and -1341 have the same value?
False
Is 0 less than -13097/6?
False
Which is greater: -20612 or -0.02?
-0.02
Which is smaller: 1147895 or 1147896?
1147895
Is 12546/31 smaller than 405?
True
Is 4/10909 smaller than 1?
True
Which is greater: 0.159 or -3140?
0.159
Does 31577 = 31576?
False
Which is smaller: 391/484 or 2?
391/484
Which is greater: 1 or -10/19639?
1
Which is greater: -20836 or -20834?
-20834
Which is smaller: -1184 or -4739/4?
-4739/4
Is 0 at most as big as 95/1447?
True
Which is greater: 1380.6 or 14/9?
1380.6
Which is bigger: -519169 or -519164?
-519164
Is 1 >= 5/21103?
True
Which is greater: 4841762 or 4841761?
4841762
Which is smaller: 2778/29 or 97?
2778/29
Are 1 and -3/32894 unequal?
True
Is -169 at least as big as 433?
False
Is -215271 greater than or equal to -215270?
False
Is -1255768 smaller than 2?
True
Is -20/50787 equal to 1?
False
Which is bigger: 56394 or 3?
56394
Which is greater: 10287 or 10301?
10301
Is -1 != -213/10772?
True
Which is greater: -5 or -2.471?
-2.471
Which is smaller: -3893 or -3874?
-3893
Are -189 and -5472/29 equal?
False
Is 5227040 at least as big as 5227041?
False
Is -14 less than or equal to -525?
False
Is 67/875 less than or equal to 1?
True
Which is greater: 3.68 or -0.65?
3.68
Is 4607 greater than -53?
True
Is -3/7 at most 655?
True
Which is greater: 956 or 685?
956
Are -6085 and -65 equal?
False
Is 3/1531325 at most as big as 0?
False
Is -965 at most as big as 18?
True
Which is smaller: 177/43 or -135?
-135
Is 1123/240 greater than 6?
False
Which is smaller: 47815 or 47819?
47815
Which is greater: -125179 or -125176?
-125176
Which is smaller: -8/7 or 21092?
-8/7
Is -1160.9 less than 2/
|
{
"pile_set_name": "DM Mathematics"
}
|
: 1, j: 5, s: 11}. What is prob of sequence hjjj?
5/7752
Four letters picked without replacement from tkuuuuffkk. What is prob of sequence tfkf?
1/840
Three letters picked without replacement from {f: 3, b: 4, w: 7}. Give prob of sequence bwb.
1/26
Two letters picked without replacement from {d: 2, v: 1, a: 2, w: 1, k: 1, r: 1}. Give prob of sequence kd.
1/28
Calculate prob of sequence dp when two letters picked without replacement from {d: 1, p: 2, l: 1, y: 1, u: 2}.
1/21
What is prob of sequence oow when three letters picked without replacement from {f: 3, o: 3, w: 1, r: 3, t: 1}?
1/165
Calculate prob of sequence eq when two letters picked without replacement from {u: 1, e: 1, q: 1}.
1/6
Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmhmmmzmmmmmmm.
153/190
Calculate prob of sequence ww when two letters picked without replacement from {w: 10, q: 10}.
9/38
Calculate prob of sequence ww when two letters picked without replacement from {g: 4, c: 2, d: 6, w: 3, x: 1}.
1/40
Two letters picked without replacement from {z: 1, h: 3, j: 4, i: 1, l: 1, u: 2}. Give prob of sequence jl.
1/33
Four letters picked without replacement from uuzallucua. Give prob of sequence laul.
1/315
Three letters picked without replacement from {w: 3, s: 4}. What is prob of sequence wsw?
4/35
Four letters picked without replacement from {m: 9, z: 10}. Give prob of sequence zzzz.
35/646
What is prob of sequence aw when two letters picked without replacement from {a: 7, w: 5}?
35/132
Calculate prob of sequence nk when two letters picked without replacement from {n: 2, h: 1, s: 1, y: 1, k: 2}.
2/21
Calculate prob of sequence zs when two letters picked without replacement from {m: 1, e: 2, s: 2, k: 2, z: 1, q: 1}.
1/36
Four letters picked without replacement from ghghghg. What is prob of sequence gggh?
3/35
Four letters picked without replacement from {u: 5, m: 2}. What is prob of sequence umuu?
1/7
Two letters picked without replacement from aaaiiirriaaiaii. Give prob of sequence ra.
2/35
What is prob of sequence xx when two letters picked without replacement from ffffxxffff?
1/45
Four letters picked without replacement from ssssssososssssossoss. What is prob of sequence ssoo?
8/323
Calculate prob of sequence qq when two letters picked without replacement from vqvvqqqqvqqvqqqq.
11/24
Four letters picked without replacement from {r: 4, c: 2, f: 3, z: 1}. Give prob of sequence cczf.
1/840
Three letters picked without replacement from {b: 3, w: 1, u: 1, o: 10}. Give prob of sequence wbb.
1/455
Calculate prob of sequence ccx when three letters picked without replacement from {c: 2, x: 2, r: 1, s: 1}.
1/30
Calculate prob of sequence gtz when three letters picked without replacement from ttttjzgtt.
1/84
Three letters picked without replacement from ihkhkkihkhkhhhhh. Give prob of sequence hkk.
3/56
Calculate prob of sequence gt when two letters picked without replacement from rtgrtrrggtrfmrmrbfrt.
3/95
Two letters picked without replacement from ttvvt. What is prob of sequence tv?
3/10
Three letters picked without replacement from fsffffosfoff. Give prob of sequence sso.
1/330
Two letters picked without replacement from {v: 1, j: 1, z: 2, i: 1}. Give prob of sequence zi.
1/10
Calculate prob of sequence wwsw when four letters picked without replacement from swwswswwsswsssswwww.
45/646
Four letters picked without replacement from {m: 5, q: 11}. Give prob of sequence qqmm.
55/1092
Four letters picked without replacement from lall. What is prob of sequence llal?
1/4
Two letters picked without replacement from {s: 1, f: 6, c: 6, g: 4}. Give prob of sequence sg.
1/68
Four letters picked without replacement from gtctctttcxgxsc. Give prob of sequence txcc.
5/1001
Four letters picked without replacement from {d: 4, g: 7, y: 6}. Give prob of sequence ggyy.
3/136
Four letters picked without replacement from {n: 10, a: 6, w: 2}. What is prob of sequence annw?
1/68
Two letters picked without replacement from kteytzl. What is prob of sequence zy?
1/42
Four letters picked without replacement from {p: 6, z: 4, f: 7}. What is prob of sequence pzfp?
1/68
Four letters picked without replacement from wrryyyewyryywyrwwy. What is prob of sequence rewr?
1/1224
Calculate prob of sequence zz when two letters picked without replacement from zczczcz.
2/7
Four letters picked without replacement from bbttttttcbtztczbtzn. What is prob of sequence cczn?
1/15504
Four letters picked without replacement from qkkqkkkkkkk. Give prob of sequence kkkq.
7/55
What is prob of sequence tt when two letters picked without replacement from {c: 3, t: 5, s: 4}?
5/33
What is prob of sequence ryb when three letters picked without replacement from {b: 7, r: 2, y: 1}?
7/360
Calculate prob of sequence xxxk when four letters picked without replacement from {k: 3, x: 4}.
3/35
Four letters picked without replacement from ockooeeccokoocookko. What is prob of sequence ecoe?
1/1292
Two letters picked without replacement from dcfftpdtqfqdfdqqfqpd. Give prob of sequence cp.
1/190
Four letters picked without replacement from rndnrnnndnrnnnn. What is prob of sequence rnrn?
3/182
Three letters picked without replacement from {z: 4}. Give prob of sequence zzz.
1
Calculate prob of sequence pu when two letters picked without replacement from jujujnp.
1/21
What is prob of sequence vi when two letters picked without replacement from ivii?
1/4
Three letters picked without replacement from wgzgwk. Give prob of sequence kzw.
1/60
Four letters picked without replacement from fiwefky. Give prob of sequence kifw.
1/420
Two letters picked without replacement from qqttnnzj. Give prob of sequence nq.
1/14
What is prob of sequence hh when two letters picked without replacement from vhvevvvhhvvvvhvhhvhv?
21/190
Calculate prob of sequence yl when two letters picked without replacement from {y: 4, x: 4, l: 3, p: 3}.
6/91
What is prob of sequence luu when three letters picked without replacement from {u: 10, l: 9}?
45/323
Calculate prob of sequence gugu when four letters picked without replacement from uugg.
1/6
What is prob of sequence hhhh when four letters picked without replacement from {h: 6}?
1
What is prob of sequence zs when two letters picked without replacement from goozsff?
1/42
Calculate prob of sequence tttt when four letters picked without replacement from ttttttt.
1
What is prob of sequence vprv when four letters picked without replacement from gvggiiigtiigpgggrvii?
1/58140
Calculate prob of sequence ih when two letters picked without replacement from {h: 6, x: 1, b: 1, j: 3, i: 1, c: 1}.
1/26
Two letters picked without replacement from {v: 10}. What is prob of sequence vv?
1
Calculate prob of sequence pzn when three letters picked without replacement from {p: 1, z: 2, f: 1, n: 1}.
1/30
Two letters picked without replacement from {b: 3, s: 1, i: 3}. What is prob of sequence ii?
1/7
What is prob of sequence mc when two
|
{
"pile_set_name": "DM Mathematics"
}
|
5b (base 16) to base 13
12cc497
13473a (base 11) to base 5
23224223
What is 2c3328 (base 16) in base 11?
16a9356
-4178168 (base 12) to base 14
-18d7636
Convert 7146846 (base 10) to base 11.
4041593
6626028 (base 9) to base 11
2012034
32205171 (base 8) to base 3
110221202000112
-11102201012010 (base 3) to base 10
-2356266
What is -a26a7 (base 13) in base 3?
-112210101112
-314213 (base 9) to base 10
-186798
Convert -100010001101001011100 (base 2) to base 11.
-6a6134
What is 202967 (base 10) in base 13?
714cb
4138a (base 15) to base 5
23103210
What is -688461 (base 9) in base 8?
-1446501
What is d91 (base 14) in base 2?
101001110011
Convert 137871 (base 10) to base 2.
100001101010001111
2353646 (base 9) to base 11
7a1380
Convert 70c8 (base 13) to base 4.
3302313
What is -7bbd51 (base 15) in base 9?
-12111534
Convert -1da44 (base 14) to base 6.
-1344204
-1010000010011001000 (base 2) to base 3
-121201011122
245505040 (base 6) to base 14
8b9c1a
Convert 137ba8b (base 15) to base 16.
d69427
Convert -23230553 (base 6) to base 16.
-afa85
-1ea9f (base 16) to base 4
-132222133
Convert 2021010222 (base 3) to base 5.
2411301
What is -3162460 (base 8) in base 15?
-11a604
What is -10100210022 (base 3) in base 4?
-100022021
What is -3567807 (base 9) in base 14?
-3850c4
What is -4a9769 (base 11) in base 10?
-803515
What is 121210011102 (base 3) in base 14?
8856c
313111120 (base 5) to base 6
43514053
Convert -4b2a1 (base 12) to base 15.
-204e1
Convert 111210303130 (base 4) to base 3.
101122100021001
Convert 6523600 (base 9) to base 5.
1343442221
What is 2711548 (base 9) in base 10?
1483964
Convert -151710 (base 8) to base 11.
-37808
Convert -1000101101111100110000110 (base 2) to base 9.
-37355357
What is -100221322 (base 4) in base 11?
-47287
What is -695d0 (base 16) in base 13?
-121587
What is 20535 (base 15) in base 8?
310031
-303a58 (base 12) to base 9
-1367155
What is -9212b7 (base 14) in base 4?
-102301103201
-2950e5 (base 16) to base 12
-aa6b45
What is 271a8 (base 16) in base 11?
aa378
Convert -1740280 (base 10) to base 16.
-1a8df8
-1087743 (base 9) to base 15
-b9a93
-303245 (base 6) to base 2
-101111000001101
-58878 (base 13) to base 10
-161832
-11021210 (base 4) to base 15
-63b2
-54820 (base 9) to base 10
-36387
What is -5234023 (base 9) in base 7?
-32532132
What is 1011110101110001011 (base 2) in base 6?
12152111
What is -47388 (base 14) in base 9?
-284086
110010000010111001000110 (base 2) to base 10
13119046
What is -34401124 (base 7) in base 5?
-1232240423
Convert -e6dc (base 15) to base 2.
-1011111010100111
What is -100245 (base 15) in base 3?
-1102121101002
Convert 66445 (base 9) to base 8.
126111
13773 (base 14) to base 7
260203
Convert 14251010 (base 6) to base 11.
304287
What is 869a8 (base 14) in base 16?
4f848
What is -ba98f1 (base 16) in base 13?
-26c2209
Convert -41021102 (base 5) to base 2.
-1010000011100110111
Convert -2118122 (base 9) to base 11.
-705346
What is -459292 (base 10) in base 7?
-3622021
What is -2c114 (base 16) in base 4?
-230010110
-19230 (base 13) to base 2
-1011111001000111
Convert -2061647 (base 9) to base 6.
-35352454
b91bb (base 12) to base 2
111011100011011111
-35a32 (base 15) to base 4
-221300213
-5eb8f (base 16) to base 8
-1365617
Convert 1277012 (base 16) to base 8.
111670022
What is -785411 (base 12) in base 14?
-37c845
Convert -1c97e (base 16) to base 9.
-187581
What is -307632 (base 10) in base 5?
-34321012
-4241f (base 16) to base 5
-32141031
What is 2212222020 (base 4) in base 8?
2465210
-5b4a1 (base 13) to base 16
-28f63
What is -122012201121 (base 3) in base 11?
-211597
What is 80c48 (base 13) in base 10?
230576
Convert 8e1b4b (base 16) to base 11.
5291084
Convert 40851 (base 12) to base 7.
500233
Convert -156fe5 (base 16) to base 12.
-579031
Convert -212226 (base 7) to base 9.
-55450
What is -586676 (base 11) in base 15?
-135d88
Convert 20a8354 (base 11) to base 2.
1110000111011101111010
Convert 1001111101100011001001 (base 2) to base 6.
131545453
What is -17225 (base 10) in base 9?
-25558
12017073 (base 8) to base 9
4846500
What is -101111001110110010 (base 2) in base 14?
-50706
Convert 1000562 (base 9) to base 2.
10000001110110111110
Convert 43113533 (base 6) to base 4.
10311332001
112101213 (base 4) to base 3
11122011020
-22ec8 (base 15) to base 11
-76717
-5612 (base 14) to base 11
-10227
Convert -6ab293 (base 16) to base 15.
-931cdb
101000011111010000110110 (base 2) to base 12
367a306
Convert 102001012 (base 3) to base 5.
224201
What is 22011210222000 (base 3) in base 10?
4346271
Convert 11001001001000010101 (base 2) to base 10.
823829
104042144 (base 6) to base 8
7110060
Convert 10233212103 (base 4) to base 8.
4574623
Convert -52650 (base 16) to base 12.
-143380
What is 102106 (base 9) in base 3?
10002010020
1805064 (base 10) to base 3
10101201002020
What is 12ad4 (base 16) in base 11?
52526
74386 (base 9) to base 12
24550
Convert 200310 (base 12) to base 10.
498108
Convert -2611217 (base 8) to base 16.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
**3/3 + d**2/2 + 7*d - 8. Determine t*x(w) + 5*q(w).
-2*w**2 - 2*w + 1
Suppose -2*p - 10116 = -5*p - 10125. Let y(l) = -2*l - 7. Let a(i) = 3*i + 14. Give p*a(u) - 7*y(u).
5*u + 7
Suppose 35 = -7*p + 2*p. Let t(g) = -3*g**3 - 2*g + 2. Let w(o) = -8*o**3 - 7*o + 7. Let y be 3*16/84*28/8. What is p*t(l) + y*w(l)?
5*l**3
Let u(w) = -16*w - 416. Let g(z) = 3*z + 80. Calculate -11*g(a) - 2*u(a).
-a - 48
Let v(o) = 45*o + 119. Let j(c) = -77*c - 235. What is 3*j(n) + 5*v(n)?
-6*n - 110
Let d(g) = 19*g**2 + 12*g - 562. Let i(o) = 16*o**2 + 10*o - 563. Determine -5*d(j) + 6*i(j).
j**2 - 568
Let w(s) = -31*s**2 - 500*s - 115. Let f be w(-16). Let d(r) = 29*r - 2*r - 2*r. Let b(k) = 3*k. Determine f*b(u) + 6*d(u).
-3*u
Suppose 8*k + 28 + 20 = 0. Let b = -88 - -83. Let i(f) = 3*f**2 + f + 8. Let c(a) = -4*a**2 - a - 9. Calculate b*c(r) + k*i(r).
2*r**2 - r - 3
Let h(u) = 59*u + 1. Let x(a) = 52*a**2 + 325*a + 8. What is 6*h(s) - x(s)?
-52*s**2 + 29*s - 2
Let j(b) = 2*b**2 + 1 + b + 2*b + 2*b. Let q = 137 + -142. Let k(x) be the second derivative of x**4/6 + 2*x**3/3 + x**2/2 - 96*x. Calculate q*k(h) + 4*j(h).
-2*h**2 - 1
Let i(m) = 6*m**3 + 5*m**2 + 6*m + 2. Suppose 27 = -5*c + 2. Let s(x) = -10*x**3 + 1 + 15*x**3 + 4*x**2 + 5*x + 1. What is c*s(k) + 4*i(k)?
-k**3 - k - 2
Let s(w) = 22*w**3 - 2*w**2 + 2. Let c(y) = 6037*y + 3 - 3*y**2 + 21*y**3 - 6037*y. Calculate -2*c(n) + 3*s(n).
24*n**3
Let t(n) = n**3 - 1. Let c be (-1)/(-2)*(-80)/(-11 + 19). Let b be (-1770)/(-236)*(1 - c/(-3)). Let w(g) = 6*g**3 - 7. Give b*t(a) + w(a).
a**3 - 2
Let k(a) = 8*a**2 + 2*a. Let d be 19 + -15 + 11 - 14. Let t(j) = -j**2. What is d*k(m) - 6*t(m)?
14*m**2 + 2*m
Let r(s) = -6790*s**2 - 60. Let y(v) = v**2 - 4. What is -r(x) + 15*y(x)?
6805*x**2
Let y(f) = -f**3 - f**2 - f - 2. Let w(t) = 277*t**3 - t**2 - 6*t - 8. What is -w(d) + 4*y(d)?
-281*d**3 - 3*d**2 + 2*d
Let w(t) = -20*t**2 + 9*t - 34. Let a(s) = 83*s**2 - 35*s + 129. Calculate -4*a(f) - 15*w(f).
-32*f**2 + 5*f - 6
Let g(l) = -2*l + 2. Suppose 27*w = -16*w + 172. Let j(y) = -2*y + y - y. Let i(p) = 3*p. Let m(a) = w*j(a) + 3*i(a). Give -g(b) - 3*m(b).
-b - 2
Let d(f) = 427*f**2 + 59*f - 1. Let q(h) = -428*h**2 - 40*h + 1. What is -2*d(i) - 3*q(i)?
430*i**2 + 2*i - 1
Let i(b) = 1 - 3 + b - 5*b + 7. Let a(o) be the third derivative of o**4/8 - 2*o**3/3 - 2074*o**2. What is -5*a(n) - 4*i(n)?
n
Let g(m) = 6*m**3 + 6*m**2 - 6. Let i(x) = -10*x - 49. Let h(s) = 14*s - 187. Let v be h(13). Let d be i(v). Let c(u) = -u**2 + 1. Give d*g(r) + 6*c(r).
6*r**3
Suppose -12*u = 45*u - 114. Suppose -4*b = 2*q + 2, 5*b - 6 = u*q + 23. Let s(n) = 4*n**2 + 5. Let h(z) = 4*z - 6*z**2 - 7 - 4*z. Calculate q*s(t) - 5*h(t).
2*t**2
Let c(t) = -10*t**2 + 3. Let f(n) = -3 - 3 + 30*n**2 - 6 + 2. Suppose 9*v - 54*v - 22*v - 670 = 0. Determine v*c(x) - 3*f(x).
10*x**2
Let y(o) = 25*o + 12. Let u(j) = 125*j + 57. Calculate -2*u(h) + 11*y(h).
25*h + 18
Let x(z) = 172*z + 23. Let i(w) = 514*w + 60. Calculate 3*i(o) - 8*x(o).
166*o - 4
Suppose 3*g + 3*y = 21, 2*y + y - 3 = -g. Let s(a) = 13*a - 9. Let n(p) = -3*p + 2. Let t be (-2 + 0)/(17/51). Let j = -4 - t. Calculate g*n(l) + j*s(l).
-l
Let v(y) = -5*y**2 - 11*y - 8. Let w(h) = 19*h**2 - 776*h - 122. Let c be w(41). Let f(d) = d + 1. Determine c*v(j) + 6*f(j).
-5*j**2 - 5*j - 2
Let p(u) = 2*u**2 - u + 1. Let f(n) = n**2 + 2*n - 12. Let q(l) = 7*l**2 + 12*l - 73. Let a(s) = 6*f(s) - q(s). Determine -3*a(y) - p(y).
y**2 + y - 4
Let w(y) = 55*y**3 + 35*y**2 + y - 21. Let v(d) = d**3 + 33*d**2 + d - 1. Give -v(p) + w(p).
54*p**3 + 2*p**2 - 20
Let y(k) = 70*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -8/3*w**3 + 0 - m*w - w**2. What is the derivative of g(j) wrt j?
-16
Suppose -9*h + 2*h = 133. Let v = h + 36. What is the third derivative of 3*g**2 - 47*g + 17*g**3 + v*g**3 + 47*g wrt g?
204
What is the second derivative of 4869*g**4 + 2609*g - 2436*g**4 + 2175*g + 186*g**2 - 2437*g**4 wrt g?
-48*g**2 + 372
Let q(b) be the first derivative of 42/5*b**5 + 0*b**4 + 321 + 0*b**3 - 2*b - 3*b**2. What is the second derivative of q(u) wrt u?
504*u**2
Let k(q) = q - 14. Let z be k(13). Let a(t) = 4*t**2 + 3*t + 1. Let i be a(z). Find the second derivative of 18*c - 4*c - 15*c**2 + 4*c**i wrt c.
-22
Let j be (9 - 9)/3*(-1)/1. Find the first derivative of -62 + j*n - 8*n + 2*n + 5*n wrt n.
-1
Let s(i) be the second derivative of 381*i**8/28 - 59*i**4/12 - 668*i. Find the third derivative of s(j) wrt j.
91440*j**3
Let a(y) be the third derivative of 194*y**7/105 + 2*y**5/15 + y**3/3 - 378*y**2. What is the third derivative of a(o) wrt o?
9312*o
Let w(s) be the third derivative of -235*s**6/8 + 1543*s**5/60 + s**3/6 + s**2 + 794. What is the third derivative of w(y) wrt y?
-21150
What is the first derivative of -9*k - 3980 + k**3 - k**2 - 1040 - 633 - 73*k**2 + 0*k**3 wrt k?
3*k**2 - 148*k - 9
Let x(h) = 17*h - 65. Let q be x(4). What is the third derivative of 46 - 86*z**q - 56*z**2 - 45 + 43*z**2 wrt z?
-516
Let d(v) = v**3 - 3*v**2 - 14*v - 5. Let p be -2*(-3 + -9)/4. Let f be d(p). Find the first derivative of 0 + 48*l**3 - f - 36*l**3 wrt l.
36*l**2
Suppose 32 + 16 = 8*y. Suppose y*b = 7 + 131. What is the first derivative of -g**3 - 19 - b*g**3 - 2 wrt g?
-72*g**2
Let b = 1374 - 1368. Suppose -2*x - 2 = -10. Find the second derivative of -5*z**4 - b*z + z - 9*z**x - 7*z wrt z.
-168*z**2
Let q(w) be the third derivative of w**7/105 - 7*w**5/6 + 1589*w**3/6 - 1176*w**2. Differentiate q(g) wrt g.
8*g**3 - 140*g
Suppose 4*z = -5*a - z + 30, -3*z = 5*a - 22. Differentiate -19*i - 20*i**2 + 19 - 2*i**a + 19*i with respect to i.
-44*i
Let h(p) = p**2 + 5*p - 3. Let m be h(-6). Suppose 54*d - 2726 = -40*d. What is the third derivative of -d*v**2 - 18*v**m + 31*v**3 - 18*v**5 - 13*v**3 wrt v?
-1080*v**2
Let h be (4*(-3)/6)/(-2). Let i(c) = c**2 + 25*c + 10. Let u(f) = -f**2 + 2*f - 1. Let j(n) = h*i(n) - 3*u(n). Differentiate j(v) with respect to v.
8*v + 19
Suppose 1066 = 12*g - 614. What is the first derivative of -65 + g - 5*j**2 - 52 + 37*j**2 wrt j?
64*j
Let g = -177 + 205. Differentiate -6 + g*j - 13 - 11 + 28 wrt j.
28
Let k(a) be the first derivative of -56*a**4 + 2*a**3/3 - 1407*a**2/2 - 1121. Find the second derivative of k(c) wrt c.
-1344*c + 4
Let n(g) be the third derivative of 685*g**8/112 - 47*g**4/24 - 19*g**3/3 - 2*g**2 + g + 803. What is the second derivative of n(z) wrt z?
41100*z**3
What is the second derivative of 244*k - 762*k - 650*k + 6*k**4 - 9*k**4 - 143*k**3 + k**2 wrt k?
-36*k**2 - 858*k + 2
Let u(f) be the first derivative of -139*f**5/5 + 2165*f**2/2 - 2463. Find the second derivative of u(c) wrt c.
-1668*c**2
Let s(j) = 3*j**2 + 2*j + 1. Let c be s(-1). Let h be c/(-3) + ((-46)/(-6) - 2). Find the third derivative of -2*l**5 - 12*l**2 - 16*l**5 + 8*l**h wrt l.
-600*l**2
Suppose 4*i + 4 = 0, 0 + 3 = r + 5*i. What is the third derivative of -r - 49*h**2 + 8 + 12*h**2 + 14*h**3 wrt h?
84
Find the third derivative of -1314*j**3 + 12126*j**3 + 1411*j**3 + 46293*j**2 - 44903*j**2 wrt j.
73338
Let y(a) be the first derivative of 2*a**3/3 + 295*a**2/2 - 4995*a - 2539. Differentiate y(b) with respect to b.
4*b + 295
Let d = -730 + 735. Let x(m) be the third derivative of -7/60*m**6 + 3/20*m**d + 0 + 0*m + 0*m**3 + 0*m**4 - 9*m**2. What is the third derivative of x(t) wrt t?
-84
Find the first derivative of 388 + 293*t**3 - 2026*t**3 + 125*t**3 wrt t.
-4824*t**2
Let p be (-2)/6*3*1. Let v be 0 - 5 - -3 - (-5 - p). What is the third derivative of -49*u**v + 27*u**2 - 18*u**5 - 23*u**5 wrt u?
-2460*u**2
Let s(r) be the first derivative of 116*r**3 + 774*r**2 + 3*r - 4369. Find the second derivative of s(l) wrt l.
696
Let p(f) = 6*f**3 - 3*f**2 + 5*f - 4. Suppose -3*t + 0 = -9. Let m be p(t). Find the second derivative of d + m*d**2 + 12*d**5 - 146*d**2 wrt d.
240*d**3
Let i(o) = o**3 + 7*o**2 - o - 5. Let u = 45 - 52. Let n be i(u). Find the third derivative of 4*a**2 + a**n - 7*a**5 + 4*a**2 - 12*a**5 wrt a.
-1140*a**2
Let f(x) = -22*x**4 + 6*x**3 + 10*x**2 + 452*x + 1. Let q(b) = b**4 - 2*b**3 - 5*b**2 + b. Let c(h) = -f(h)
|
{
"pile_set_name": "DM Mathematics"
}
|
he closest to 2.417 in 2/15, 4, -0.2?
4
Which is the closest to 0.004? (a) 3 (b) 0.3 (c) -0.1
c
Which is the closest to -2? (a) -1/4 (b) -12 (c) 5 (d) 0.4
a
Which is the closest to 5/4? (a) 1 (b) -1/2 (c) -2/19 (d) -3
a
What is the closest to 1 in -5, 1/5, -2, 5?
1/5
What is the closest to -2/5 in -3, -8, -0.06?
-0.06
Which is the nearest to 2? (a) -0.1 (b) 3/4 (c) -15/7
b
Which is the closest to -4? (a) -2/13 (b) -0.06 (c) 2/3
a
Which is the nearest to -2/3? (a) 59 (b) -1/4 (c) 4 (d) -5
b
Which is the closest to -2/7? (a) 1/3 (b) -127 (c) -1
a
What is the nearest to 0.5 in 17, 2/7, -2/7, -1?
2/7
What is the closest to -1 in -0.5, 1.5, -2/7?
-0.5
Which is the closest to -9? (a) 2 (b) 5 (c) 4 (d) -1
d
Which is the nearest to -2? (a) -0.4 (b) -6 (c) -4
a
Which is the nearest to 67? (a) -0.4 (b) 2 (c) -11 (d) 3/5
b
What is the closest to 0 in -0.01, 0.2, 2/5, 0.056?
-0.01
What is the nearest to -1 in 2/3, -2, 2?
-2
What is the nearest to 0 in -3, 2, -7?
2
Which is the closest to -0.04? (a) -9 (b) 0.1 (c) -4/7
b
Which is the nearest to 0.1? (a) -5/7 (b) 3/7 (c) 3 (d) -4
b
What is the closest to 24/11 in 4, -0.3, -2, 0?
4
What is the nearest to 2/3 in 2/19, 0.4, 0.2, 350?
0.4
What is the closest to 0.1 in -0.08, -2, -3?
-0.08
What is the nearest to 5 in 0.4, 64, -0.6?
0.4
Which is the nearest to 0? (a) -0.3 (b) 2 (c) 2/17 (d) -0.07
d
Which is the nearest to 1? (a) 4 (b) -2.2 (c) -0.03 (d) 5
c
Which is the closest to 0.1? (a) -4/7 (b) 1/2 (c) -1 (d) -5/6
b
Which is the closest to -2/5? (a) 7/8 (b) 3/4 (c) -0.2 (d) -0.5
d
Which is the closest to 1? (a) 5 (b) -5/3 (c) -4/5 (d) -1.4
c
Which is the nearest to -2/5? (a) -4 (b) -2/9 (c) -2/7 (d) 4
c
Which is the closest to 2/7? (a) -4/5 (b) 5 (c) 1 (d) -0.3
d
Which is the closest to 1.1? (a) 1 (b) -1 (c) 3/5
a
What is the closest to -7/5 in 1, 4/3, -4?
1
What is the closest to 3 in -0.2, 24/5, -0.1?
24/5
What is the nearest to -1 in -18, -2/5, -2?
-2/5
What is the closest to 0 in 14, 1, -4, -0.2?
-0.2
Which is the nearest to -1/4? (a) 5 (b) -0.119 (c) 2/3
b
Which is the closest to 0.1? (a) -0.2 (b) -56 (c) 3
a
Which is the closest to 2.8? (a) -0.1 (b) 0.3 (c) -0.5 (d) 1/6
b
Which is the closest to 1/4? (a) -4/7 (b) 2/19 (c) 0.4
b
What is the closest to -4 in -0.3, 5/7, 0.4?
-0.3
Which is the closest to -0.05? (a) 0.34 (b) -1/5 (c) 4/9
b
What is the closest to -6.8 in 1/4, -2, 1/6?
-2
What is the closest to 0.1 in 0.2, -2/13, 118, 1?
0.2
What is the nearest to 4/27 in -2, 3/4, 26?
3/4
What is the closest to 0.07 in -5, -1, 0.11, -3?
0.11
What is the closest to -4 in -3, -1/6, 21?
-3
Which is the nearest to -1? (a) 13 (b) -2/25 (c) -1/4 (d) 5
c
What is the closest to -2 in 1/3, -366, -0.2?
-0.2
What is the nearest to -3 in -1/6, -0.07, -6?
-1/6
Which is the closest to 0.1? (a) 1 (b) -6 (c) -5 (d) -1/7
d
Which is the nearest to 14? (a) -0.8 (b) -1 (c) 0.7
c
What is the closest to -2/7 in 1/4, 1/5, 5/2, 3?
1/5
What is the nearest to 1 in 0.3, 2, -1, -33.8?
0.3
What is the nearest to 0.1 in 1, -2/9, 2?
-2/9
What is the closest to -2/5 in -4/3, -2, -0.05?
-0.05
Which is the nearest to -0.2? (a) 2/7 (b) 0.4 (c) -5
a
What is the closest to -1 in 0.5, -74, 0?
0
What is the closest to 1 in 66, -1, 0.4?
0.4
Which is the closest to -2? (a) -0.02 (b) -1 (c) 1/25
b
What is the nearest to -3/8 in 4, -0.3, -1, -67/2?
-0.3
Which is the closest to 2? (a) -2/21 (b) -2/11 (c) -2 (d) -1
a
Which is the nearest to 2/9? (a) -5 (b) 5 (c) 8/3 (d) -0.5
d
What is the closest to -0.3 in -7.3, -5/6, 5?
-5/6
What is the closest to 1/3 in 1, -0.3, 2/5?
2/5
What is the closest to -3 in 5/3, -3/4, -0.1, 0.033?
-3/4
What is the nearest to 1/3 in 5, -2/5, -6, 0?
0
What is the nearest to -12 in -2, -1.8, -1
|
{
"pile_set_name": "DM Mathematics"
}
|
j*h + m*h + h. Determine o(z(p)).
-12*p
Let g(j) = 13*j**2 - 3*j - 27. Let c(a) = -11*a**2 + 2*a + 18. Let x(l) = 3*c(l) + 2*g(l). Let i(m) = -59*m + 2. Calculate x(i(b)).
-24367*b**2 + 1652*b - 28
Let k(f) = -3*f**2 + 298. Let m(v) = -2156*v. What is k(m(c))?
-13945008*c**2 + 298
Let n(j) be the third derivative of -13*j**5/12 + 7897*j**2. Let f(b) = 70*b. Give n(f(p)).
-318500*p**2
Let r(o) = -93 + 8412*o**2 - 146 - 2861*o**2 + 549*o + 56. Let s(y) = -61*y**2 - 6*y + 2. Let d(w) = 2*r(w) + 183*s(w). Let p(a) = -2*a. Determine d(p(z)).
-244*z**2
Let a be (6/8)/((-135)/(-40) + -3). Let y(f) = 393*f**2 - 398*f**a + 1 - 1. Let l(s) = -2*s. Let u(j) = 2*j. Let x(r) = 3*l(r) + 2*u(r). Give y(x(b)).
-20*b**2
Let a(j) = -25*j + 22. Let h(i) = 9*i - 8. Let f(k) = -8*k - 37. Let r be f(-6). Let x(n) = r*h(n) + 4*a(n). Let g(q) = -105*q. What is g(x(d))?
105*d
Let i(j) = -3*j. Let c(h) = -1690*h + 52. Let r(s) = -336*s + 10. Let p(b) = -5*c(b) + 26*r(b). Calculate i(p(z)).
858*z
Let p(m) be the third derivative of -7*m**4/24 + 3681*m**2. Let c(k) = -2*k + 9*k**2 + 7*k**2 + 2*k. Give p(c(w)).
-112*w**2
Let o(p) = -787*p. Let j(y) = 1868*y**2 - 2*y - 2. What is o(j(f))?
-1470116*f**2 + 1574*f + 1574
Let g(a) = 5*a + 8. Suppose 4*z + v = 359, -2*z - 3*v - 2*v = -193. Let p(l) = 86*l**2 + z*l**2 - 177*l**2. Calculate g(p(n)).
-10*n**2 + 8
Let i(g) = 585*g + 9*g**2 - 288*g - 297*g. Let c(h) be the second derivative of h**6/720 + h**4/3 + 6*h. Let p(r) be the third derivative of c(r). Give p(i(w)).
9*w**2
Let i(y) be the third derivative of y**5/15 + 85*y**2 - 3*y. Let d(q) = 104*q. Determine i(d(b)).
43264*b**2
Let o(v) be the third derivative of -24*v**2 - 1/30*v**5 - 1 + 0*v**4 - 2*v**3 + 0*v. Let l(h) = -2*h**2. What is o(l(q))?
-8*q**4 - 12
Let n(r) = 96*r**2 + 13. Let i(k) = -k - 1. Let l(s) = s**2 - s - 1. Let u(b) = -i(b) + l(b). Determine u(n(t)).
9216*t**4 + 2496*t**2 + 169
Let n(m) = 29*m. Let a(s) = 22*s - 4197. Give a(n(h)).
638*h - 4197
Let i(w) = 2*w**2 + 845*w - 1. Let p(f) be the third derivative of -f**4/24 + 9172*f**2. Give i(p(o)).
2*o**2 - 845*o - 1
Let c(k) = 84113223*k - 84113223*k + k**2. Let l(m) = -9402*m. Determine l(c(p)).
-9402*p**2
Let t(n) be the second derivative of -5*n**6/24 - 12*n**3 - 86*n. Let u(h) be the second derivative of t(h). Let d(i) = -i. Calculate d(u(j)).
75*j**2
Let u(m) = -4*m**2 + 4*m**2 + 5*m**2 - 4*m**2. Let s(z) = 102*z - 45*z - 51*z. Determine s(u(y)).
6*y**2
Let u(r) = 2*r - 1. Suppose 0*f = -f + 6. Let z(q) = -q + 7. Let l be z(f). Let m(p) = -5 - l + 6 + 2*p**2. Determine m(u(n)).
8*n**2 - 8*n + 2
Let s(z) = -795*z + 402*z + 394*z. Let v(b) = -99*b**2. Let r(m) = -98*m**2. Let g(u) = -2*r(u) + 3*v(u). Calculate s(g(k)).
-101*k**2
Let h(k) = -3*k**2 - 4*k**2 + 3*k**2. Let p(w) = -147 - 2*w + 147. Let n(f) = f**2 + f. Let v(l) = -2*n(l) - p(l). Give v(h(q)).
-32*q**4
Let u(m) = -551*m**2 - 566*m**2 + 1582*m**2 - 537*m**2. Let c(a) = -115*a**2. Calculate c(u(z)).
-596160*z**4
Let n(w) = -18*w**2. Let q(a) = 10*a - 18*a - a**2 + 3*a**2 + 515 + 8*a. Give q(n(l)).
648*l**4 + 515
Let h(x) = 2*x. Let o(j) = -10*j**2 - 3. Let a = 120 + -126. Let q(d) = -259*d**2 - 77. Let s(i) = a*q(i) + 154*o(i). Determine h(s(k)).
28*k**2
Let p(m) = -6719*m**2 + 13447*m**2 - 6717*m**2. Let b(r) = 23*r**2. Give b(p(a)).
2783*a**4
Let k(a) = 10*a - 7. Let p(b) = -3*b + 2. Suppose -7*q + 2*q = 5*v + 45, 5*q + 3*v + 41 = 0. Let i(u) = q*p(u) - 2*k(u). Let n(d) = 25*d. Give i(n(j)).
25*j
Let m(j) = j**2. Let b = 4743/5 + -28133/30. Let n(o) be the second derivative of -b*o**3 + 0*o**2 + 0 - 22*o. Give n(m(x)).
-65*x**2
Let k(t) = -4*t. Let q(w) = 5*w. Let j(c) = 6*k(c) + 5*q(c). Let l(m) = 10*m - 8*m + 22*m
|
{
"pile_set_name": "DM Mathematics"
}
|
*d + 93 - 23 = -5*n - 5*d, 0 = 49*d + 490 for n.
2
Solve -17*x - 264 = 15*x - 62*x + 20*x - 3*t, -4*x - 8*t = -92 for x.
27
Solve -5*n + 23 = -4*k, -2481513*n + 2481515*n - 16 = 5*k for n.
3
Solve -7*c - l = -4*c - 254 + 236, c - l + 2 = 0 for c.
4
Solve -86*j + 142*j - 67*j - 5*v = -89, -4*j + 32 = 2*v for j.
9
Solve 633*u - 630*u = a - 14, a - u = 180 - 170 for a.
8
Solve 3*g + 7*j - 2*j = -31, 3*g - j = -0*j + 97009 - 97010 for g.
-2
Solve -58711*v = 4*q - 58703*v - 52, -5*q = -v - 21 for q.
5
Solve -400 = -22*h - 80*h - 4*f, -3*f - 2 = h for h.
4
Solve 0 = -3*g - 2*r + 7001 + 6992 - 13987, 12*g = 4*r - 12 for g.
0
Solve 4*z = -i - 35, 22*i = -z + 33*i - 9*i + 52 for z.
-2
Solve 15*u + 18*u + 305 = 2*h, 10*h - 41*h = -29*h - 8 for u.
-9
Solve -303 + 321 = -2*a, 4*b - 9*a - 85 = 0 for b.
1
Solve -4*f + 5*m = -35, -15*f + 21*f - 8*f = 3*f - 3*m - 47 for f.
10
Solve -t + 100 = 290*p - 293*p, -9*p + 2*t + 0*t = 299 for p.
-33
Solve 10*j - 13*j = 3*w - 5 - 10, -j + w + 1 = 0 for j.
3
Solve 7689*r - 7698*r + 2*k = -2*k - 43, 5*r = 3*k + 27 for r.
3
Solve 0 = p - 4*i - 261, -26*p + 392 = -12*p - 12*p - 6*i for p.
1
Solve 4*t = n + 16, -7*t = -15*n - 1492 + 1464 for n.
0
Solve 5*i + 2*i = -4*k + k + 71, -5*k + 34 = 4*i for i.
11
Solve -418*q + 422*q + 2*o - 112 = 0, 5*q - 382 = -63*o for q.
26
Solve -4*g = 8, 1102*g - 12 = 2*t + 370*g + 366*g + 365*g for t.
-7
Solve -60 = 5*i + 5*m, 48*i - 3*m + 22 = 58 for i.
0
Solve -5*f + 34 = -7*x, 0*f - 1954*x = 2*f - 1960*x - 4 for f.
11
Solve -1088129*g = -1088124*g + 5*z + 20, -7*g - 4*z - 4 = 0 for g.
4
Solve -221*c + 108*c + 2*t - 31 = -112*c, -13*t + 81 + 143 = -2*c for c.
5
Solve -6*x - 45 = 3*l, l + 38*x - 48*x + 12 = -11*x for l.
-9
Solve 1 = -3*z + j, -4*j + 7449 = -z + 7445 for z.
0
Solve 3*o - 58 = -4*i, 166*o + 2*i + 86 = -155*o + 328*o - 38 for o.
18
Solve -370*k + 6 = -372*k - 5*g - 3, 0 = -2*k - 41*g + 27 for k.
-7
Solve -470 = -237*d + 2*l, -106328 = d + 4*l - 106338 for d.
2
Solve 0 = -2*d + 3*f - 20 - 17, 16*f + 280 = -47*d + 21*f for d.
-5
Solve -9 = k + 16*x + 6, -3*x = -1237*k + 1242*k - 2 for k.
1
Solve 3*j - 44 = -5*a, 463 = 6*j + 15*a + 340 for j.
3
Solve 6 = -2*m, 8*n - 514*m + 1031*m = 516*m - 579 for n.
-72
Solve -3*q = u + 3*u + 48, 4*u - 85 = -2*q - 133 for u.
-12
Solve -r + 4*r + 67*z = 45*z + 365, 5*r - z = -32 for r.
-3
Solve 131 = 3*s - 39*d - 37, -s = 2*d + 2*d + 12 for s.
4
Solve 200582*t = 200581*t + 3*v + 5, -32*t - 96 = v + 35 for t.
-4
Solve y = 4*s - 8, 4*y + 458*s = -467*s + 1390*s - 467*s + 22 for y.
4
Solve 12163*c - 31 = -3*r + 12165*c, 0 = 4*r - 2*c - 38 for r.
7
Solve 5*d = 2*m + 10, 153 - 71 = 2*m + 72 for d.
4
Solve -3*p + 60*j + 24 = 63*j, -3*p - 12*j = -6*p + p - 54 for p.
3
Solve -a - 5 + 0 = 0, -88*u - 192*u - 2*a = -47*u + 201*u - 0*a + 3048 for u.
-7
Solve -3*o + 15 = -2*m, 1441*m = 1444*m - 735*o + 6597 for m.
6
Solve 2*q = -2*c, -q - 4504*c - 3 = -4500*c for q.
1
Solve -5*u + 3*p - 2 - 11 = 0, 2*u + 8*p + 22 = 12*p for u.
1
Solve 0 = 3*j + d + 8, -117589*j + 117593*j = -4*d for j.
-4
Solve 0 = -3*i + i + 23*f - 33, 8*i - 5*i + f + 14 = 0 for i.
-5
Solve -2*w + 2*p = -4, 7*w - 130 = 4*p - 119 for w.
1
Solve -4*c = 4*t - 4, 249 = -141*t + 58*t + 122*t + 4*c for t.
7
Solve 7158*a + m = 7165*a + 62, m - 46 = -a for a.
-2
Solve 5*t + 622 = 204*x, -17 = -43*x + 38*x + t for x.
3
Solve 0 = -21*o - 9*x + 594, 0 = -2*o + 167*x - 162*x + 39 for o.
27
Solve 3*u + 87 = 9*q + 57, -6*q - u - u = -0*u - 40 for q.
5
Solve 4*f - 6 = 2*m, -14 + 15 + 8 = -3*m + 3*f for m.
-3
Solve 7*l + 14 = 0, -16*t + 10*t + 0*l + 56 = -7*t - 4*l for t.
-48
Solve 3*f + 9 = g - 5, 145*g - 143*g + 3*f + 5 = -3 for g.
2
Solve -3*c + 2*c = -5*a + 6, -13*c + 5*a - 5 + 47 = 0 for c.
4
Solve 4*y - 151 = 4*q - 83, -4*y - 5*q + 1 =
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3 = -2*m - 1. What is the remainder when k is divided by 29?
26
Suppose -4*z + 8 = 2*r, -2*z + 10 = -3*r + r. Suppose -w + 12 = 3*w, -4*f = z*w - 33. What is the remainder when 9 is divided by f?
3
Let b(o) = -o**3 + 13*o**2 + 19*o + 5. What is the remainder when b(14) is divided by 21?
12
Calculate the remainder when ((-35)/14)/((-2)/60) is divided by 19.
18
Let m = -2 + 17. What is the remainder when 57 is divided by m?
12
Suppose 0 = -2*x - 4*l + 18 - 2, 4*x - 3*l + 1 = 0. Let p(d) = d**2 - d + 9. Let k be p(0). What is the remainder when x is divided by (-2 + 5)/(k/6)?
0
Calculate the remainder when 54 is divided by (-18)/(-12)*56/3.
26
Suppose 2 = -3*i + 5, -2*i + 15 = m. Calculate the remainder when 38 is divided by m.
12
Let n = 8 - 4. Let x(g) = g**3 - 6*g**2 - 6*g + 4. Let h be x(7). Let z = h + 0. What is the remainder when z is divided by n?
3
Calculate the remainder when (-292)/(-5) + 20/(-50) is divided by 12.
10
Let d(i) = -i**3 + 5*i**2 - 4*i - 3. Let c be d(4). Calculate the remainder when 14/3*(0 - c) is divided by 8.
6
What is the remainder when 40 is divided by ((-5 - (-1 + -2)) + -3)*-5?
15
Suppose 0 = 4*f + 4, -5*g + 5*f - 50 + 5 = 0. What is the remainder when -5*(16/g)/1 is divided by 3?
2
Suppose 0 = -2*l + 2*b + 50, 0 = -5*l - 4*b + 60 + 20. What is the remainder when 35 is divided by l?
15
Let t(j) = 7*j**3 - j**2 - j + 1. Let f be t(1). Calculate the remainder when 25 is divided by (35/10)/(3/f).
4
Suppose 4*n - 168 = -28. Calculate the remainder when n is divided by 19.
16
Suppose 2*g + 60 = 390. Calculate the remainder when g is divided by 14.
11
Suppose 8*n = 333 + 483. Calculate the remainder when n is divided by 35.
32
Let a(l) = -2*l + 7. Let y = 5 - 13. What is the remainder when a(y) is divided by 13?
10
Let p(h) = h**2 + 5*h - 10. What is the remainder when p(10) is divided by 48?
44
Calculate the remainder when 42 is divided by ((-9)/(-18))/(2/60).
12
Let q(p) = 6*p**2. Let a(d) = -34*d - 2. Let z be a(-1). Let h = -23 + z. Calculate the remainder when q(-2) is divided by h.
6
Suppose 0 = -3*d + 1 + 14. Let m = 5 - d. Suppose m = -2*a + 88 - 30. What is the remainder when a is divided by 15?
14
Let o(i) = -2*i. Let n be o(-2). What is the remainder when 2/n*174/3 is divided by 10?
9
Let q = 5 - 8. Calculate the remainder when 24 is divided by 0 + 2 + (-33)/q.
11
Let f be (8/(-10))/((-6)/45). Let u = f + -10. Let w = u - -18. What is the remainder when 41 is divided by w?
13
Suppose -1 = -v + 2*k, -3*k + 5 = 3*v - 34. Calculate the remainder when -4 - (12/8 - 61/2) is divided by v.
7
Let n = 23 + 1. Let l = n + -5. Calculate the remainder when l is divided by 5.
4
Suppose -3*z - 15 = 2*z. Let m = z - -5. Calculate the remainder when m is divided by 2.
0
Let t = -11 - -21. Suppose 2 = -3*z + 8. Suppose 2*u - 156 = -z*u. What is the remainder when u is divided by t?
9
Let m(k) = 11*k + 6. Calculate the remainder when 81 is divided by m(2).
25
Suppose 3*n - 5*x + 2 = 60, -n = x - 6. Calculate the remainder when n is divided by 4.
3
Let x(n) = n**3 + 2*n**2 - n + 2. Let c be x(2). Suppose -2*s = -c - 18. Calculate the remainder when s is divided by 6.
5
Let g(j) = 9*j**2 + 2*j**2 - 5*j + 6*j. What is the remainder when 23 is divided by g(1)?
11
Let z be 4 - ((2 - 1) + 0). Let p = z + -2. Let g = 24 + p. What is the remainder when g is divided by 13?
12
Suppose -3*b + 26 = 4*s, 5*s + 3*b + 30 = 8*s. Suppose 0*i - 22 = -i. Calculate the remainder when i is divided by s.
6
Let d = 262 - 128. Let z = d + -91. What is the remainder when z is divided by 15?
13
Let x = -18 + 22. Let l(t) = 5*t - 1. Let u be l(1). Suppose -3 = y, 5*y + 25 = u*f - 3*f. What is the remainder when f is divided by x?
2
Suppose -2*a + 8 = 2. Let n = 9 + -5. What is the remainder when n is divided by a/3 + (3 - 2)?
0
Suppose -2*o + 25 = 3. Calculate the remainder when 30 is divided by o.
8
Let z be 2 - (-7)/(7/(-2)). Calculate the remainder when 31 is divided by 21 + -7 + (z - -3).
14
Suppose 2*q + 5*g = 23, -3*q - 4*g + 44 = -8. Suppose -n = 4*p - 188, -2*n = 4*p - 0*n - 192. What is the remainder when p is divided by q?
22
Let h = -3 - -7. Suppose 0*p = -5*d - 4*p + 309, -4*p = h*d - 248. What is the remainder when d is divided by (-6)/(-2) + (0 - (-21 - -3))?
19
Calculate the remainder when 6 is divided by -3 + (5 - (-3)/3).
0
Suppose 0 = -93*x + 90*x + 15. What is the remainder when 24 is divided by x?
4
Let u(z) = -z**2 + z + 2. Let t be u(2). Suppose -2*o + 3*s = s - 334, t = -2*s - 4. Calculate the remainder when 31 is divided by ((-2)/6)/((-5)/o).
9
Let n(z) = -z**3 + 52. What is the remainder when n(0) is divided by 5?
2
Suppose 3*s - 4*s = -20. What is the remainder when 59 is divided by s?
19
Calculate the remainder when ((-200)/(-12))/(2/3) is divided by 9.
7
Let f(y) = -23*y + 19. Let i be f(-8). Calculate the remainder when (-3)/(-12) - i/(-4) is divided by 27.
24
Suppose -q = 3*q - n - 54, -2*n - 56 = -4*q. Suppose -w + 16 + 2 = 0. What is the remainder when 182/5 + w/30 is divided by q?
11
Suppose 0 = 4*w - 4*h + 4, 2*h = -w - w + 10. Let r(l) = 2*l**3 - 1 + 0*l**3 + 3*l - 4*l**3 - 3*l**w - l. Calculate the remainder when 38 is divided by r(-3).
18
Suppose 2*p + 8 = a + 4*p, 0 = -2*a - 2*p + 14
|
{
"pile_set_name": "DM Mathematics"
}
|
ndred thousands digit of 669055?
6
What is the ten thousands digit of 896612?
9
What is the ten thousands digit of 2067729?
6
What is the hundred thousands digit of 395097?
3
What is the tens digit of 569789?
8
What is the hundreds digit of 1726254?
2
What is the ten thousands digit of 270397?
7
What is the ten millions digit of 11562654?
1
What is the tens digit of 2051705?
0
What is the hundred thousands digit of 1500746?
5
What is the hundred thousands digit of 362407?
3
What is the units digit of 39599571?
1
What is the hundreds digit of 158125?
1
What is the tens digit of 274279?
7
What is the ten thousands digit of 7139529?
3
What is the ten thousands digit of 524837?
2
What is the hundreds digit of 1009530?
5
What is the tens digit of 185325?
2
What is the tens digit of 175357?
5
What is the hundreds digit of 120434?
4
What is the hundreds digit of 388093?
0
What is the hundred thousands digit of 3524215?
5
What is the hundred thousands digit of 12366757?
3
What is the units digit of 597764?
4
What is the tens digit of 253290?
9
What is the units digit of 110812?
2
What is the hundred thousands digit of 289804?
2
What is the hundreds digit of 95579?
5
What is the hundreds digit of 2434643?
6
What is the units digit of 53863?
3
What is the millions digit of 6992667?
6
What is the thousands digit of 195642?
5
What is the hundred thousands digit of 1997946?
9
What is the ten thousands digit of 15679397?
7
What is the tens digit of 220725?
2
What is the hundred thousands digit of 353534?
3
What is the units digit of 1497970?
0
What is the thousands digit of 6002780?
2
What is the units digit of 6472260?
0
What is the hundred thousands digit of 561263?
5
What is the millions digit of 2501043?
2
What is the thousands digit of 24382179?
2
What is the ten thousands digit of 21302450?
0
What is the tens digit of 233684?
8
What is the millions digit of 2717196?
2
What is the units digit of 494090?
0
What is the tens digit of 12080602?
0
What is the ten thousands digit of 8916243?
1
What is the units digit of 1455864?
4
What is the hundreds digit of 4475348?
3
What is the thousands digit of 623191?
3
What is the units digit of 30377851?
1
What is the thousands digit of 2199615?
9
What is the hundred thousands digit of 2811455?
8
What is the tens digit of 9791770?
7
What is the units digit of 2781303?
3
What is the units digit of 32827?
7
What is the tens digit of 492767?
6
What is the millions digit of 6042223?
6
What is the units digit of 135514?
4
What is the millions digit of 1484209?
1
What is the units digit of 60721?
1
What is the ten thousands digit of 2606798?
0
What is the ten thousands digit of 4593241?
9
What is the hundred thousands digit of 346558?
3
What is the tens digit of 1346431?
3
What is the units digit of 2592124?
4
What is the hundred thousands digit of 118013?
1
What is the hundred thousands digit of 669818?
6
What is the ten thousands digit of 437929?
3
What is the ten thousands digit of 2577338?
7
What is the units digit of 3681124?
4
What is the ten thousands digit of 3204972?
0
What is the tens digit of 232778?
7
What is the hundred thousands digit of 464282?
4
What is the tens digit of 88858?
5
What is the hundreds digit of 135825?
8
What is the tens digit of 1276809?
0
What is the units digit of 452900?
0
What is the units digit of 128161?
1
What is the thousands digit of 87280?
7
What is the ten thousands digit of 137416?
3
What is the hundred thousands digit of 5341417?
3
What is the tens digit of 261236?
3
What is the units digit of 3939707?
7
What is the hundred thousands digit of 1375204?
3
What is the tens digit of 26634039?
3
What is the ten thousands digit of 223711?
2
What is the ten millions digit of 17493244?
1
What is the thousands digit of 215163?
5
What is the thousands digit of 236581?
6
What is the hundreds digit of 12219053?
0
What is the hundreds digit of 5387786?
7
What is the ten thousands digit of 22340273?
4
What is the hundreds digit of 769930?
9
What is the tens digit of 5349583?
8
What is the hundreds digit of 277903?
9
What is the thousands digit of 318010?
8
What is the hundreds digit of 483064?
0
What is the tens digit of 2768072?
7
What is the hundred thousands digit of 1718806?
7
What is the units digit of 22509039?
9
What is the hundred thousands digit of 719687?
7
What is the hundred thousands digit of 6959313?
9
What is the hundreds digit of 15179584?
5
What is the hundreds digit of 5365630?
6
What is the hundred thousands digit of 276180?
2
What is the units digit of 149241?
1
What is the ten thousands digit of 2615576?
1
What is the ten thousands digit of 15143701?
4
What is the hundred thousands digit of 4778202?
7
What is the millions digit of 3556993?
3
What is the units digit of 1071487?
7
What is the ten thousands digit of 4997338?
9
What is the thousands digit of 987465?
7
What is the hundreds digit of 6428220?
2
What is the units digit of 233447?
7
What is the tens digit of 1180000?
0
What is the hundreds digit of 752256?
2
What is the tens digit of 294399?
9
What is the thousands digit of 2526892?
6
What is the hundred thousands digit of 32453959?
4
What is the tens digit of 373676?
7
What is the thousands digit of 12534492?
4
What is the ten thousands digit of 632316?
3
What is the tens digit of 153252?
5
What is the ten thousands digit of 25893436?
9
What is the thousands digit of 151675?
1
What is the units digit of 8332087?
7
What is the tens digit of 12336759?
5
What is the ten thousands digit of 211691?
1
What is the thousands digit of 53230?
3
What is the tens digit of 75379?
7
What is the units digit of 4502679?
9
What is the millions digit of 5059547?
5
What is the thousands digit of 296499?
6
What is the hundred thousands digit of 15112482?
1
What is the hundreds digit of 983859?
8
What is the units digit of 16619740?
0
What is the tens digit of 27320088?
8
What is the tens digit of 5905596?
9
What is the ten thousands digit of 6232840?
3
What is the units digit of 6959487?
7
What is the ten thousands digit of 1134220?
3
What is the units digit of 455460?
0
What is the hundreds digit of 3037186?
1
What is the tens digit of 2783816?
1
What is the hundreds digit of 12959480?
4
What is the units digit of 86979?
9
What is the hundreds digit of 86836?
8
What is the millions digit of 1597663?
1
What is the hundreds digit of 10057002?
0
What is the hundreds digit of 28742669?
6
What is the ten thousands digit of 17538357?
3
What is the ten thousands digit of 1692441?
9
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
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