text stringlengths 270 8.19k | meta dict |
|---|---|
**2 + 2. Give -3*l(v) - 7*q(v).
v**3 + 1
Let a = 12 - 7. Suppose -21 - 14 = -a*w. Let n(f) = f**2 + 3*f. Let v(h) = 4*h**2 + 10*h. Calculate w*n(u) - 2*v(u).
-u**2 + u
Let f(r) = -12*r - 6. Let s(w) = -4*w - 2. Determine 5*f(y) - 16*s(y).
4*y + 2
Let l(k) be the third derivative of -11*k**5/60 + 13*k**3/6 - k**2. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
= x + 16. Let s = -10 - x. Let f be 6/(-2) + s + -115. Round f to the nearest 10.
-120
Let o = -974.00001058 + 974. What is o rounded to 7 decimal places?
-0.0000106
Let r = -24 - -31. Let h = r + -7.0000049. What is h rounded to six decimal places?
-0.000005
Let g = -330 + 329.9914. Round g to three decimal places.
-0... | {
"pile_set_name": "DM Mathematics"
} |
2?
25628
What is -112607 (base 8) in base 10?
-38279
Convert 1000002 (base 3) to base 5.
10411
205110 (base 8) to base 15
152e8
Convert -24331 (base 6) to base 5.
-103313
What is -4b7 (base 14) in base 12?
-669
Convert -101010111000000 (base 2) to base 12.
-10854
What is -3552 (base 6) in base 13?
-512
Convert -2381 (b... | {
"pile_set_name": "DM Mathematics"
} |
0*s + 4*s. Calculate the common denominator of 59/20 and (-2)/(-5) - 6/z.
40
Suppose 0 = -x + 10 - 4. Let n = -1270 - -5011/4. Find the common denominator of x/(-3) - 162/4 and n.
4
Let b(z) = -16*z - 61. What is the smallest common multiple of b(-4) and 1/4 + 86/8?
33
Let v be 0/(-1) - 8448/(-22). Let u be v/84 - (-8)... | {
"pile_set_name": "DM Mathematics"
} |
3*g - 5*j + 14 = 0, -2*g + u = -2*j + 15 for g.
-2
Let j = 5 - 3. Suppose j*w + 54 = 144. Let p = -21 + w. Solve 2*l + 8 = -2*u, 0*u - 5*l - p = u for u.
1
Let d be 173/19 - 6/57. Solve u - d = 3*m, -m = u + 6 + 1 for m.
-4
Suppose -4*f + 82 = 2. Let q(u) = f + u + 0*u - 10. Let c be q(-7). Solve 3*r - 3 = 4*m + c, m =... | {
"pile_set_name": "DM Mathematics"
} |
-2
a
Let t = 6 - 5. Let m = -0.7 + t. What is the second biggest value in -1, -2, m?
-1
Let v = 0.087 - -8.713. Let p = v - 9. Which is the second biggest value? (a) p (b) -2 (c) 2
a
Suppose -4*i - i = 0. Let u be (3/(-2))/((-6)/16). What is the third smallest value in u, i, 2/15?
u
Let b be 1*-1*2/(-7). Let y = 2.... | {
"pile_set_name": "DM Mathematics"
} |
2*sqrt(121) + sqrt(121) - (sqrt(121) + -5*(sqrt(121)*-2 + sqrt(121))))/((6*sqrt(275)*-2 - sqrt(275)) + sqrt(275)).
sqrt(11)/6
Simplify (1*sqrt(170)*6)/(sqrt(90)*2) - (5 + (-1*sqrt(833) - sqrt(833)) + 2).
-7 + 15*sqrt(17)
Simplify ((sqrt(684) + 0 + sqrt(684) + -1)**2 - -2*(-2 + sqrt(684))) + 4.
-12*sqrt(19) + 2737
Simpl... | {
"pile_set_name": "DM Mathematics"
} |
, what is 1343310 + -4?
1343301
In base 2, what is -1 - -1001101011001?
1001101011000
In base 9, what is 18450 - -47?
18507
In base 4, what is 22301230103 - 3?
22301230100
In base 11, what is -813553 - 5?
-813558
In base 15, what is 0 - 10805?
-10805
In base 13, what is -55 - b?
-63
In base 9, what is -5 + 15515?
15510... | {
"pile_set_name": "DM Mathematics"
} |
est common multiple of v and 14?
182
Suppose -13439 = -5*z - 2859. Let s be ((-114)/27)/(16/7944). Let g = s + z. Find the common denominator of g and 97/6.
6
What is the common denominator of 31/4 and 1 + 3*291/108?
12
Suppose 0 = 11*w - 33*w + 220. What is the smallest common multiple of 35 and w?
70
Let y = 1031 - 6... | {
"pile_set_name": "DM Mathematics"
} |
nd biggest value? (a) -0.3 (b) l (c) v
c
Let s = -3.4 - -3. Let d be 1/((11 + -13)/10). Let n = 3/26 + -8/13. What is the second biggest value in n, d, s?
n
Let k = 1.48 - 1.98. Which is the third smallest value? (a) -3 (b) 10 (c) k
b
Let y(r) = 17*r + 69. Let v be y(-6). Which is the second biggest value? (a) 5... | {
"pile_set_name": "DM Mathematics"
} |
= -2*m, 0 = -4*u - 3*m + 15 + 39. Let g(h) = -h**2 + 10*h - 4. Let f be g(u). Let l be (-6)/(-21) + f/(-245). Which is bigger: 0 or l?
l
Let f = -1.97 - -2. Let y = 159 + -157. Which is smaller: f or y?
f
Let h = 0.62 + -1.25. Let q = h - -0.6. Which is smaller: q or -2/5?
-2/5
Suppose 0 = 2*q + 6*q - 80. Let w(v) be ... | {
"pile_set_name": "DM Mathematics"
} |
- 7471 = 1549. Calculate the least common multiple of 154 and u.
770
Let q be (1/(-2614))/((-18)/(-72)). Let o = -32643/20912 + q. What is the common denominator of o and 69/2?
16
Suppose 27*u - 24*u - 1355 = -5*t, 2*u = -t + 278. What is the least common multiple of t and 3?
804
Let z = 485 + -1501/3. What is the comm... | {
"pile_set_name": "DM Mathematics"
} |
ounded to the nearest 10000?
-110000
Let k = 21.449724 - -0.041276. What is k rounded to the nearest integer?
21
Let g = 0.04681 - 0.0470189. What is g rounded to four dps?
-0.0002
Let r = -5086212 - -3111006. Let g = r - -1975214.291138. Let l = g - 8.29. What is l rounded to 4 dps?
0.0011
Let j = 221 - 241.7. Let r =... | {
"pile_set_name": "DM Mathematics"
} |
*(-28)/(-350).
-1/10
What is the value of (6*(-5)/(-120))/(((-40)/224)/(-5))?
7
What is the value of ((-237)/948)/(3/168)?
-14
Evaluate ((-312)/(-60))/(40/(-25))*-4.
13
Evaluate 64/(-36)*837/(-248).
6
What is the value of (2/(-24))/((-1995)/(-1596))?
-1/15
Evaluate -5*(-12)/(-90)*9/(-42).
1/7
What is (25*48/1800)/(4/(-... | {
"pile_set_name": "DM Mathematics"
} |
(-9)?
3
Suppose 0 = -a - 0*a. Let q = 7 + a. Let o(k) = k**3 - 8*k**2 + 7*k + 3. What is the units digit of o(q)?
3
Let y(b) = -2*b**3 - 4*b**2 + b - 3. Let s be y(-4). Suppose w + 2*w = s. What is the units digit of w?
9
Suppose 7*b = 5*b + 126. What is the units digit of b?
3
Suppose -a - 5 = -2. Let t be (-1 - -2*1)... | {
"pile_set_name": "DM Mathematics"
} |
*a**3 + 81*a**3 - 8*a.
14*a**3
Collect the terms in -201*y + 17 + 15 + 27 - 73*y.
-274*y + 59
Collect the terms in -106*g - 1412007 + 1412007.
-106*g
Collect the terms in 106 - 73 + 2*b**3 + 0*b**3 + 59.
2*b**3 + 92
Collect the terms in 1642065 + 1642068 + 1642071 + 3*g - 4926204.
3*g
Collect the terms in -6*b**2 - 159... | {
"pile_set_name": "DM Mathematics"
} |
e
Does 16 divide 1888?
True
Does 126 divide 252?
True
Does 36 divide 1508?
False
Is 10 a factor of 2138?
False
Is 550 a multiple of 4?
False
Is 106 a factor of 1378?
True
Is 24 a factor of 10344?
True
Does 27 divide 1701?
True
Does 15 divide 17325?
True
Is 115 a factor of 2990?
True
Is 295 even?
False
Is 66 a factor of... | {
"pile_set_name": "DM Mathematics"
} |
t c(i) = -2*i - 3. Let s be c(-4). Suppose -s*j - 15 = 3*b, -44 = 4*b + j - 7. Let h(u) = -u**2 - 9*u + 13. Calculate the remainder when 3 is divided by h(b).
0
What is the remainder when (2 - (-128)/(-6))*(-18)/12 is divided by 11?
7
Let y = 0 + 5. Calculate the remainder when 17 is divided by y.
2
Suppose -63 = -4*l ... | {
"pile_set_name": "DM Mathematics"
} |
0))/((-1)/10). Let j = -2 + q. Let t be 6/2*(j - -7). Solve -t*n = 2*n + 5 for n.
-1
Let p(f) = f + 6. Let h be p(-6). Let k = 13 - h. Let r = -8 + k. Solve 3*u = r*u for u.
0
Let k = -435 + 435. Solve -v + k*v = -1 for v.
1
Let o = 18 - 16. Let c(p) = 3*p - 13. Suppose -u + 1 = -5. Let z be c(u). Solve -1 + z = -o*f f... | {
"pile_set_name": "DM Mathematics"
} |
-229319. What is s rounded to the nearest 10000?
80000
Suppose -1386 = 16*p + 374. What is p rounded to the nearest one hundred?
-100
Let h = 0.076 + 0.128. Let x = h - 0.14. Let t = 6.336 + x. Round t to zero dps.
6
Let j = -54 - 99. Let a = j - -121.6. Round a to the nearest ten.
-30
Suppose 379 = -n - 3*m, -2535 = ... | {
"pile_set_name": "DM Mathematics"
} |
- 1). Solve 5*t - 21 = -3*o, 4*o + 2*t = -q*o + 14 for o.
2
Let w(t) = -t**3 - 9*t**2 + 10*t. Let g be w(-10). Solve g*c - 3*c = -4*o + 17, 5*c = -4*o + 25 for o.
5
Let b be 39/15 - (-3)/(-5). Let d be (-39)/6 + 1/b. Let f = -1 - d. Solve -2*o = -4*h + 6, -5*h = -o - o - f for o.
-5
Let t be ((-12)/9)/(6/9). Let i = t ... | {
"pile_set_name": "DM Mathematics"
} |
3 + 6. What is the units digit of 12/(-9) - (-181)/l?
9
Let y be (1/1 - 4) + -105. Let z = -87 - y. What is the units digit of z?
1
Let u(j) = 9*j**2 + j - 13. Let d be u(-6). Let n = d + -127. What is the units digit of (-6)/(-39) + n/26?
7
Suppose -18710 = -58*g + 48*g. What is the hundreds digit of g?
8
Let y = 20 +... | {
"pile_set_name": "DM Mathematics"
} |
883 or 2?
2
Which is bigger: 3 or 19/7?
3
Which is greater: 1/107 or 1?
1
Is -79 > -313/4?
False
Which is smaller: -3 or -0.8?
-3
Do -12/1595 and 0 have the same value?
False
Is -28174 greater than or equal to -28176?
True
Which is bigger: 1011 or 1012?
1012
Which is bigger: 44 or 43?
44
Are -9 and 6 equal?
False
Which... | {
"pile_set_name": "DM Mathematics"
} |
or of p?
False
Is 1 + (-3 + 2 - -93) a multiple of 9?
False
Suppose v + 4*c - 6 = 6, -4*c + 12 = -5*v. Suppose 0 = -5*w + 3*n + 37 + 230, v = w + 3*n - 39. Does 17 divide w?
True
Suppose -4*t + 512 = 4*t. Does 18 divide t?
False
Let l(j) = -j**3 - 14*j**2 - 2*j - 15. Let f be l(-14). Let s be (-19)/4 - 2/8. Is (-5)/(s/... | {
"pile_set_name": "DM Mathematics"
} |
)/((-2598)/10). Is r not equal to u?
True
Let y(a) be the first derivative of -a**4/4 + 5*a**3 - 7*a**2 + 2*a - 5. Let w be y(14). Let z be w/(-8) - 2/56. Are z and -0.01 equal?
False
Let m(t) = 3*t**3 - 22*t**2 - 4*t**3 + t**2 + 72 + t - 51. Let z be m(-21). Let b = -10687/111073 + -2/3583. Which is smaller: z or b?
b... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of k**5/60 - k**4/6 + k**3/2 - 5*k**2 + 6. Let c be h(0). Solve 0 = 3*a + c*a for a.
0
Suppose 994 + 4109 = 421*u - 3317. Let f be 19/4 - 3/(-12). Suppose 5*r = r + 20. Solve f = r*y + u for y.
-3
Let t(k) = k - 12. Let f be t(10). Let s be (-1)/f + 9/6. Suppose -s*r = 5*n - 5 + 22, -3*r - 4*n - 8 ... | {
"pile_set_name": "DM Mathematics"
} |
((sqrt(228) - 2*sqrt(228)*-1 - sqrt(228))/(sqrt(12) + sqrt(192)*1))**2.
76/25
Simplify (sqrt(52)/(sqrt(4) - (5*1*sqrt(4) + sqrt(4))) + -4)**2 + 2.
8*sqrt(13)/5 + 463/25
Simplify (sqrt(180)*3)**2 - (sqrt(35)/sqrt(7) + 5).
-sqrt(5) + 1615
Simplify ((1*sqrt(140))/sqrt(7))/sqrt(10) - sqrt(20)/(sqrt(50)/(-1*sqrt(5))).
2*sq... | {
"pile_set_name": "DM Mathematics"
} |
9)) - sqrt(19)) + 1)*-3 + (sqrt(931)*-4)**2 + sqrt(475)*-2 + -5 + 0.
-8*sqrt(19) + 14888
Simplify (-1*4*sqrt(352)*1)/(sqrt(44)*1 + 6*sqrt(44)) + -4.
-4 - 8*sqrt(2)/7
Simplify ((-6*(sqrt(3328)*3 - (sqrt(52) - -1*sqrt(52)*4)))/((sqrt(100) - -1*sqrt(100) - (sqrt(16) + sqrt(16)*-2)/sqrt(4)) + (sqrt(88)/sqrt(2)*-4)/sqrt(11)... | {
"pile_set_name": "DM Mathematics"
} |
-502 - 38*sqrt(5)
Simplify (-2 + (sqrt(288) - -3*sqrt(288)))**2*-6 + -2.
-27674 + 1152*sqrt(2)
Simplify -5*(-3 + (1*sqrt(850) + sqrt(850) + sqrt(850))/sqrt(2)*-1).
15 + 75*sqrt(17)
Simplify (-5 + -2*sqrt(720)*4*-4*-4)**2.
15360*sqrt(5) + 11796505
Simplify (-1 + sqrt(2) + -1)**2*2*4 + 5.
-32*sqrt(2) + 53
Simplify (-2 +... | {
"pile_set_name": "DM Mathematics"
} |
446 millennia to years.
4511446
What is 8/3 of a minute in seconds?
160
What is 938405.8 millilitres in litres?
938.4058
Convert 8.614263 hours to minutes.
516.85578
How many seconds are there in 10/9 of a hour?
4000
What is 4953.113 milligrams in nanograms?
4953113000
How many seconds are there in sixty-one thirds of ... | {
"pile_set_name": "DM Mathematics"
} |
t**3 - 55065*t**2 + 208060*t - 204020 = 0.
2, 101
Determine n, given that -n**2 - 97*n - 372 = 0.
-93, -4
Suppose -2*n**2 + 1136*n + 1138 = 0. Calculate n.
-1, 569
Determine r so that -r**5/3 + 7*r**4/3 - 5*r**3/3 - 7*r**2/3 + 2*r = 0.
-1, 0, 1, 6
Factor 2*x**3/11 - 54*x**2/11 + 102*x/11 - 50/11.
2*(x - 25)*(x - 1)**2/... | {
"pile_set_name": "DM Mathematics"
} |
+ s*h - 24 = g for x.
2
Let a be (8/12)/((61/6)/61). Solve 3*z + 15 = -0*n - 3*n, 3*n + a*z + 19 = 0 for n.
-1
Let t(o) = -o**2 - 6*o + 119. Let r be t(-13). Suppose 29*s - 20 = r*s. Solve -c - 2*c = z - 8, -z = -4*c + s for c.
4
Let a(m) = -m**2 + 11*m + 115. Let u be a(21). Let t = u + 97. Solve c = -t*w + 8, -c - 3... | {
"pile_set_name": "DM Mathematics"
} |
-3.
-5
(18 - 3) + 4 + -13 - 1
5
Calculate -2 - (-6 - (-13 + 12 + -5) - -3).
-5
Evaluate -7 - ((0 + -2 - 1) + -36 + 39).
-7
What is the value of 9 + -17 + 6 - (-5 + 6)?
-3
What is the value of -11 - (-26 + -17 + 25)?
7
Evaluate -15 + -17 + (7 - (-3 + 6 + -3)).
-25
What is the value of (0 - 8) + (-112 - -105)?
-15
What i... | {
"pile_set_name": "DM Mathematics"
} |
+ 12. Let z = -352 - -337. Give u(z).
-3
Let o(q) = -10*q. Let i be ((-2)/(16/12))/(1/30). Let u = 46 + i. What is o(u)?
-10
Let b(w) = w**3 - 3*w - 9 + 6*w**2 + 1 - 5*w. Suppose 0 = -i + 11*i + 70. What is b(i)?
-1
Let f(z) = -56*z - 14. Let r(x) = 21*x + 5. Let h(n) = 6*f(n) + 17*r(n). Calculate h(-2).
-41
Suppose 15... | {
"pile_set_name": "DM Mathematics"
} |
09*x - 2120*x + 702*x + 709*x - 36*x**2.
-36*x**2
Collect the terms in -5726*h + 1987*h + 1982*h + 1 + 1760*h - 1.
3*h
Collect the terms in 34*y - 16*y - 95 - 15*y.
3*y - 95
Collect the terms in -321*m**2 + 219*m**2 + 99*m**2.
-3*m**2
Collect the terms in i**3 - 1018640*i + 1018640*i.
i**3
Collect the terms in 2*z + 33... | {
"pile_set_name": "DM Mathematics"
} |
of 0 - 1/4*o**4 + 0*o**3 + 9*o**2 + 0*o. What is d(z(r))?
144*r**2
Let c(t) = 2*t**2. Let x(f) = -224598*f**2. Calculate x(c(r)).
-898392*r**4
Let m(q) = 73734*q. Let x(r) = 2*r**2. What is m(x(u))?
147468*u**2
Let c(z) = -z. Let q(w) = w**2 + 2*w + 2. Let x be q(0). Let k(p) = 9*p**2 + p**2 - 5*p**2 - 3*p**x. Give c(k... | {
"pile_set_name": "DM Mathematics"
} |
given that -4*h**2 + 288976*h - 288972 = 0.
1, 72243
Factor 4*t**3/3 + 1448*t**2/3 - 32560*t + 506400.
4*(t - 30)**2*(t + 422)/3
Suppose -3*a**5/7 + 19*a**4/7 - 3*a**3/7 - 163*a**2/7 + 270*a/7 - 72/7 = 0. What is a?
-3, 1/3, 2, 3, 4
Solve -f**2/2 - 10770*f - 107650 = 0 for f.
-21530, -10
Determine b so that 3*b**3 - 57... | {
"pile_set_name": "DM Mathematics"
} |
h is the closest to 0? (a) j (b) -3/8 (c) 1
b
Suppose 93 = -2*x + 103. Suppose 2 = 2*j - 5*l, 4*j - 4*l + 12 = -j. Let k = j - -4. Which is the closest to k? (a) x (b) -6 (c) -0.4
c
Let c = -4 + 4.1. Let u be 11 - (-10)/(10/(-11)). What is the closest to c in 4, -3, u?
u
Let c be ((-9)/3)/(-3)*(-321)/5. Let b = c... | {
"pile_set_name": "DM Mathematics"
} |
o, 0.3, -2, 0.5?
-2
Let z = 5.7 - 6.7. What is the fourth biggest value in 0.4, z, 0.02, 0.5?
z
Let d = -9 - -12. Suppose -6*f - 15 = -f. Let o be -6*f*(-5)/(-135). Which is the third smallest value? (a) d (b) 2 (c) o
a
Let w(v) = -27*v - 193. Let p be w(-7). Which is the fourth smallest value? (a) 0.05 (b) -3 (... | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence zmv?
3/286
What is prob of sequence jngl when four letters picked without replacement from {j: 2, n: 1, a: 1, g: 2, l: 1}?
1/210
Three letters picked without replacement from {z: 9, m: 5}. Give prob of sequence mzm.
15/182
What is prob of sequence mfoo when four letters picked without replacement from... | {
"pile_set_name": "DM Mathematics"
} |
**3
Collect the terms in 3 - 3 - 2451393*x**3 + 1225672*x**3 + 1225694*x**3.
-27*x**3
Collect the terms in 87*h**2 + 89*h**2 + 39 + 91*h**2 + 91*h**2 - 352*h**2.
6*h**2 + 39
Collect the terms in -42257*z**3 + 34875*z**3 + 259850*z**3.
252468*z**3
Collect the terms in -682735*n**2 + 227809*n**2 + 227797*n**2 + 227128*n*... | {
"pile_set_name": "DM Mathematics"
} |
414, -4*d = 3*j + 39 for j.
-5
Solve 150 - 156 = -12*w - 3*i, i - 2 = 4*w for w.
0
Solve 1 = 8081*b - 8082*b + 4*z, b = 5*z for b.
-5
Solve -23*z - 16 = 4*d - 24*z, -3*d - 26*z - 119 = 0 for d.
-5
Solve -5*q + o - 5 = 0, -q - 9*o = -8*o + 1 for q.
-1
Solve 2*x + 8*h = 12*h - 38, -4*x + 5 = h for x.
-1
Solve 275*k - 27... | {
"pile_set_name": "DM Mathematics"
} |
ve -971*c + 24 = -983*c for c.
-2
Solve -3900 + 3648 = 21*s for s.
-12
Solve 12*j + 23*j + 31 = -179 for j.
-6
Solve -4144 = 9777*w - 9481*w for w.
-14
Solve 21808 = -4*r + 21904 for r.
24
Solve -2435*o = -2436*o - 2 - 2 for o.
-4
Solve -159 + 4560 = 479*z - 3742 for z.
17
Solve 119332 - 119060 = 16*c for c.
17
Solve -... | {
"pile_set_name": "DM Mathematics"
} |
19))) + -2 + -5?
-16
What is 19 + (5 - 14) - 8 - (0 + 1)?
1
What is (1508 - 1510) + (2 - 2) + 2 + -22?
-22
What is -31 - (0 - (0 + -3 - 5 - -9))?
-30
What is -10 + 13 + 11 + -21?
-7
Evaluate -1 - (-3 + 1) - (16 + -1 + -1).
-13
Calculate (-41 - -16 - -60) + -28.
7
(-9 - -26) + -12 - (11 + 3)
-9
What is the value of -7 +... | {
"pile_set_name": "DM Mathematics"
} |
+ 181. What is the remainder when w is divided by 13?
8
Suppose 3*w - 12 = 4*b + 284, 292 = 3*w - 5*b. Calculate the remainder when w is divided by 15.
14
Let w(s) = 8*s**2 + 4*s - 4. What is the remainder when 317 is divided by w(3)?
77
Suppose 15*p + 1962 = 33*p. What is the remainder when 212 is divided by p?
103
Ca... | {
"pile_set_name": "DM Mathematics"
} |
**3 - n**3. Calculate a(-6).
2
Suppose -g + 6 = -s, -3*g - 10 = 4*s + 14. Let y(k) = k**2 + 1. Let m(a) = 11*a**2 - 2*a + 5. Let f(n) = s*y(n) + m(n). Calculate f(-1).
6
Let k(j) = j**3 + 4*j**2 + j + 2. Suppose 28 = -5*x + y - 3*y, 0 = -x - 4*y - 20. Determine k(x).
-2
Let q(l) be the third derivative of -l**4/24 - 4*... | {
"pile_set_name": "DM Mathematics"
} |
r). Let t(u) be the third derivative of -u**5/20 + 8*u**2. Calculate t(f(m)).
-3*m**4
Let y(r) = 2*r. Let d(n) be the first derivative of -n**4/4 - n**3 - n**2/2 - n - 2. Let g be d(-3). Let z(l) = -4 + 4 + g*l. Determine z(y(q)).
4*q
Let g(z) = -z. Let d(j) = 82*j - 1. What is d(g(k))?
-82*k - 1
Let b(i) = -4*i + 55. ... | {
"pile_set_name": "DM Mathematics"
} |
/x. Solve 4*n + 17 = -2*h + u*h, 2*n + 12 = 4*h for h.
1
Let w be (-5)/(1*(-3 - -2)). Solve 0 = -2*k - w*y - 6 - 16, -2*y = 2*k + 10 for k.
-1
Let w = 5 + -3. Solve -8 = 4*s, -4*s - 23 = l + w*l for l.
-5
Suppose -2*t + t = 3*i - 52, 2*i = -t + 33. Let b = 22 - i. Solve -b*c = 2*d + 10, 4*c + 2 = -d - 3 for d.
-5
Let o... | {
"pile_set_name": "DM Mathematics"
} |
42 = 5*g, x - 60 = -3*x + 4*g. Solve 1 = -14*a + x*a for a.
-1
Suppose 5 = y + 4. Suppose -38 = -5*g + 67. Suppose 2*w + 2*w = 2*b + 46, -4*w + g = 3*b. Solve y + w = 5*k for k.
2
Suppose 3*u = 2*u - 4, 0 = 2*k + 2*u. Solve m + 0 = -k for m.
-4
Suppose 4*v - 21 = -5*j - 0*j, -j = 4*v - 1. Let x = 58 - 53. Suppose u - x... | {
"pile_set_name": "DM Mathematics"
} |
**4/12 + 4*n**2 - 4*n. Let y(c) = 2*m(c) - 5*w(c). Determine y(5).
9
Let x = -16 - -21. Let j(h) = h**2 - 3*h - 4. Let t be j(x). Let z(i) = i**2 - 6*i + 2. What is z(t)?
2
Let i(m) be the second derivative of m**3/6 - m**2/2 - 11*m. Let w(h) = -h**2 + 3*h + 1. Let x be w(4). Let q(z) = 7*z - 6. Let k(o) = x*i(o) + q(o... | {
"pile_set_name": "DM Mathematics"
} |
+ 7*f - 4. Let v = 152 + -136. Suppose -50 = -v*u + 6*u. Does 22 divide i(u)?
False
Suppose 2*m + 81 = 2*x - 1745, -2*x = 5*m - 1861. Does 18 divide x?
True
Let r be ((-42)/15)/((-6)/15). Let d(p) = p**3 - 3*p**2 + 11*p - 9. Does 33 divide d(r)?
True
Does 23 divide -26 + (-123950)/(-125) - (-2)/5?
True
Let l(a) = 2*a ... | {
"pile_set_name": "DM Mathematics"
} |
13
What is the remainder when 76 is divided by 41?
35
Calculate the remainder when 420 is divided by 111.
87
Calculate the remainder when 1357 is divided by 1352.
5
What is the remainder when 2747 is divided by 95?
87
Calculate the remainder when 320 is divided by 317.
3
Calculate the remainder when 17078 is divided by... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of 3/20*k**5 + 0*k**4 - 3*k**2 + 0 - 4*k - 3/2*k**g. What is d in u(d) = 0?
-1, 2
Let k(i) = i**3 - 7*i**2 - 3*i + 21. Let y be k(7). Suppose 1/3*r**2 + 0 + y*r = 0. Calculate r.
0
Let v = 1/32 + 15/32. Suppose 1/2*w**2 + 1/6*w - 1/6*w**3 - v = 0. Calculate w.
-1, 1, 3
Factor -1/2*u**2 + 3*u + 0.... | {
"pile_set_name": "DM Mathematics"
} |
f 10 + (-26 - -11) + 9 - 10?
-6
What is the value of -9 + (-15 - -17 - 6)?
-13
What is the value of -5 + (-4 - 4) + -1 + 1?
-13
What is the value of 8 + 13 + -21 - (6 - 0)?
-6
Evaluate -7 - -1 - (10 - (-13 + 62 + -6)).
27
Evaluate -2 + (9 - 8) + 1 - (-1 - 11).
12
What is -9 + (-69 + 115 - (-1 + -1))?
39
What is 1 - 24 ... | {
"pile_set_name": "DM Mathematics"
} |
s the closest to r in 3/5, 0.3, -4, n?
3/5
Let s = 8 + -8. Let g = -302 + 904/3. Let i = 4.16 - 0.16. What is the closest to g in s, i, -0.4?
-0.4
Let x be -4*(-24)/(-416)*13. What is the nearest to -2 in -0.4, 136/9, x?
x
Let k = 1820.3 + -1820. What is the nearest to -0.05 in 2/9, -0.3, k?
-0.3
Let l = -956 - -12534/... | {
"pile_set_name": "DM Mathematics"
} |
e 167/7 - (-2)/14. Suppose -n*k + 25*k + 3 = 0. Suppose 2*d - 4 = 6. Let q(a) = 9*a - 5. Determine d*w(t) + k*q(t).
-2*t
Suppose -5*j + 28 = -h - 1, 16 = -4*h. Let y(q) = -7*q + 6. Let m(p) = 0 - 2*p - 6*p + 0*p + 7. Determine j*m(k) - 6*y(k).
2*k - 1
Let d(f) = -5*f**3 + 3*f**2. Let z(a) = -116*a**3 + 31690*a - 31690*... | {
"pile_set_name": "DM Mathematics"
} |
4. List the prime factors of u.
239
Let y(m) = m**3 + 3*m**2 + 3*m + 1. Let h be y(-3). Let k(a) = -a**3 - 6*a**2 + 16*a - 1. Let d be k(h). List the prime factors of (-4 + 4 + d)*-17.
17
Suppose -6*v = v - 2*v. Suppose v = 4*j - 8*j + 420. What are the prime factors of j?
3, 5, 7
Let m(f) = -208*f - 399. What are the ... | {
"pile_set_name": "DM Mathematics"
} |
= 362272/121 + q. Is c < 1?
True
Let q = 84 + -79. Let v be (q/(-1))/(10/(-4)) + -76. Which is greater: v or -75?
v
Let k(d) = d**2 - 10*d + 11. Let a be k(8). Let t be ((-25)/2)/a - 1. Let w(x) = x - 8. Let y be w(10). Does t = y?
False
Let s be (-37)/111 + 494/6. Do s and 82 have different values?
False
Let s = -116 ... | {
"pile_set_name": "DM Mathematics"
} |
93?
90
Calculate the remainder when 375 is divided by 94.
93
Calculate the remainder when 1037 is divided by 10.
7
What is the remainder when 54 is divided by 31?
23
What is the remainder when 766 is divided by 10?
6
Calculate the remainder when 6213 is divided by 21.
18
What is the remainder when 488 is divided by 101... | {
"pile_set_name": "DM Mathematics"
} |
out replacement from oobbwbhhhh. What is prob of picking 1 b and 3 o?
0
Two letters picked without replacement from {k: 3, i: 4, z: 4, g: 4, o: 1}. What is prob of picking 1 i and 1 z?
2/15
What is prob of picking 2 w when two letters picked without replacement from {f: 8, w: 2}?
1/45
Four letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
19)*l assuming l is positive.
l**(-4837/319)
Simplify (q**(2/55)*q*q**(-1/25)*q*q)**21 assuming q is positive.
q**(17304/275)
Simplify ((d**(-2/3)*d*d**(-5/6))**(1/9))**(-49) assuming d is positive.
d**(49/18)
Simplify (((o/o**(1/24))/(o/((o/((o/(o/o**(1/3)))/o))/o)))**(1/11))**49 assuming o is positive.
o**(245/88)
Si... | {
"pile_set_name": "DM Mathematics"
} |
245) - 5*(sqrt(245) + sqrt(245)*2))**2 + (sqrt(245) - (2*(sqrt(245) - (sqrt(245) + 1 - sqrt(245))) - sqrt(245))))*1.
48022
Simplify 3 + 3*sqrt(162)*-1 - ((1*(sqrt(162)*1 - sqrt(162)))**2 + (-5*(sqrt(162) + sqrt(162) + 2 + sqrt(162)) - sqrt(162))**2).
-41569 - 2907*sqrt(2)
Simplify -1*(((sqrt(468) + 5 + -2*sqrt(468) + s... | {
"pile_set_name": "DM Mathematics"
} |
u = -17 + y. Let d be (4 + u)*(-10)/4. Solve 14 = 4*w - d*a - 2, -4*w - a - 8 = 0 for w.
-1
Suppose 2*c + 5*y = y + 16, -3 = -y. Suppose -d + 3*q + 1 = 0, 2*q + c*q = 4. Solve -4*w = -d*f, 4*f - 4*w - 6 = 3*f for f.
-2
Let v = 36 + -31. Suppose -3 = -3*x + 2*k + 3, v*x = -k + 10. Let z be (-20)/6*x/8*-6. Solve 3*i - 3... | {
"pile_set_name": "DM Mathematics"
} |
(-17066)?
2/23
Evaluate (-6)/(-20) + (-156)/520 + 4.
4
What is (-14)/(-14)*(2 - (2 - (-9)/(-33)))?
3/11
-2 - (-47)/((-2961)/(-84))
-2/3
What is the value of (272/(-12))/17*((-50)/8 - -1)?
7
Evaluate 11 - ((-266)/(-57) + 2).
13/3
4/(-6)*-7*(-8)/224*9
-3/2
Evaluate -4*(-3)/4 - (0 + (-119)/(-35)).
-2/5
(4 - (-48)/(-15)) +... | {
"pile_set_name": "DM Mathematics"
} |
0)). Let z = 6959/550 + n. Let u = -48055 + 3075433/64. Calculate the common denominator of z and u.
704
Let p = 18 + -8. Let x = 112 + -64. What is the least common multiple of p and x?
240
Let t = -9 - -20. Let o = 19 - t. Let k(l) = -2*l**3 + 24*l**2 - 3*l + 46. Calculate the lowest common multiple of o and k(12).
4... | {
"pile_set_name": "DM Mathematics"
} |
g**3 - 383235*g**2 - 354048*g wrt g.
6*g - 766470
Find the second derivative of b**5*d - 2633251*b**2*d + 915*b*d + 3385*b wrt b.
20*b**3*d - 5266502*d
Find the second derivative of 1443528*p**2 - 1149*p + 39 wrt p.
2887056
Find the second derivative of 209552*b**4 + 685*b - 10.
2514624*b**2
What is the second derivati... | {
"pile_set_name": "DM Mathematics"
} |
king 1 d and 1 f when two letters picked without replacement from {e: 3, k: 2, f: 1, d: 1, a: 3, p: 1}?
1/55
Calculate prob of picking 2 c, 1 b, and 1 s when four letters picked without replacement from bbbbbbbsccsccbbcbbc.
55/646
What is prob of picking 2 i when two letters picked without replacement from zuuiuuziiuzu... | {
"pile_set_name": "DM Mathematics"
} |
6*l**3 + 14*l + 6*l**2. Let q be n(7). What is q rounded to the nearest one hundred thousand?
0
Let t = 0.10705471 - -45.89295154. Let q = 46.25 - 0.25. Let f = q - t. Round f to 6 dps.
-0.000006
Let h = -181.8771 + -0.5829. Round h to the nearest integer.
-182
Let p = -312.1 + 5.1. Let h = -306.9702 - p. Round h to 3 ... | {
"pile_set_name": "DM Mathematics"
} |
- 200645154675 = 0.
6, 517230
Let 2*h**2 - 1594614*h - 4783860 = 0. Calculate h.
-3, 797310
Suppose -5*l**3 + 2480*l**2 + 168235*l + 919050 = 0. What is l?
-55, -6, 557
Suppose -2*g**2 + 13160250*g = 0. What is g?
0, 6580125
Suppose -4*j**5 + 332*j**4 + 30776*j**3 - 641224*j**2 - 51898420*j - 322177156 = 0. Calculate j... | {
"pile_set_name": "DM Mathematics"
} |
9) + sqrt(19))**2.
180
Simplify ((sqrt(490) + sqrt(10))/sqrt(5) - (0 + sqrt(2))*4)**2.
32
Simplify sqrt(17) + -4 + 2*sqrt(17) + 5.
1 + 3*sqrt(17)
Simplify (-4*(sqrt(204)*3 - sqrt(204)))/(5*(sqrt(12) - -1*sqrt(12))).
-4*sqrt(17)/5
Simplify sqrt(24)/sqrt(3)*5 - ((sqrt(40)*1)/sqrt(5) + sqrt(8)).
6*sqrt(2)
Simplify ((sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
o*o assuming o is positive.
o**(-201/28)
Simplify (p**(1/2)/p*p**(-1/9))/((p/(p/(p/(p*(((p/(p*p/p**(5/3)))/p*p)/p)/p*p))*p))/(p*p*p*(p/((p/(p*p/(p/p**(-1/14)))*p)/p*p))/p*p)) assuming p is positive.
p**(188/63)
Simplify ((u**(-2/7)*u)/(u/(u*((u**2/u*u*u)/u)/u*u)))**(-18) assuming u is positive.
u**(-342/7)
Simplify ((i... | {
"pile_set_name": "DM Mathematics"
} |
85. List the prime factors of y.
2, 3
Suppose -210 = -3*q + 2*g + 72, 3*g = -4*q + 393. Let n be -4 + q/3 + -3. Suppose -3*p + 86 = -2*v, -2*v - n = -p - 5*v. List the prime factors of p.
2, 7
Suppose 5*r - 2*m = 23, 7 = 2*r - 5*r - 4*m. Let p be r + -6 + 0 + 0. What are the prime factors of ((-1)/p)/((-1)/(-33))?
11
L... | {
"pile_set_name": "DM Mathematics"
} |
072 - 97803141 + 195604213.
-6*n**3
Collect the terms in -4 + 4 - 2*z**2 + 14038*z - 7006*z - 37*z**3 - 7032*z.
-37*z**3 - 2*z**2
Collect the terms in 75347*f**3 + 75196*f**3 - 301216*f**3 + 75345*f**3 + 75342*f**3.
14*f**3
Collect the terms in -921*f - 826*f - 11365*f**3 + 11358*f**3 + 1747*f.
-7*f**3
Collect the term... | {
"pile_set_name": "DM Mathematics"
} |
-h**3 + 8
Let d(p) = -24*p**2 - 10*p - 14. Let l(f) = -71*f**2 - 28*f - 40. Determine 17*d(w) - 6*l(w).
18*w**2 - 2*w + 2
Let n be (-6)/(-15) - 8/(-5). Suppose -n*b + 0*b - 6 = 0. Let u be b - (-1)/(-2)*-2. Let z(w) = 3*w + 3. Let t(c) = c**2 - 2*c - 2. What is u*z(s) - 3*t(s)?
-3*s**2
Let x(g) = -12 - 14 + 66 - 18 - ... | {
"pile_set_name": "DM Mathematics"
} |
s the greatest common factor of o and 38?
38
Let r be (-1 + 6/(-3))/((-129)/2322). Suppose 2*l - 864 = -0*l. What is the highest common divisor of r and l?
54
Suppose 5*x + 293 = -t, -6 = t + t. Let c be ((-114)/(-5))/(x/(-145)). Calculate the highest common divisor of c and 38.
19
Let t be 16/((-1 - (-30)/25)/((-87)/(... | {
"pile_set_name": "DM Mathematics"
} |
t p, 5, 0.032, -0.4 in decreasing order.
5, 0.032, -0.4, p
Let y = -0.772 + 0.372. Sort 11/5, 1/2, y in decreasing order.
11/5, 1/2, y
Let r = 8.9 - -41.1. Let m = -47.9 + r. Let h = -0.9 - m. Sort h, -1/5, -1 in descending order.
-1/5, -1, h
Let a(x) = -x**2 + 6*x. Let t be a(3). Put t, -2, 1 in descending order.
t, 1... | {
"pile_set_name": "DM Mathematics"
} |
(372/5)
Simplify (x**(1/34)*x**3*(x**29/x)/(x/(x**(-28)/x)))**(3/2) assuming x is positive.
x**(105/68)
Simplify ((g**(-3)/(g*g**(12/11)))/(((g/((g*g**(3/22))/g))/g)/g*g**(-3/10)))**(-10/11) assuming g is positive.
g**(402/121)
Simplify ((g**1*(g*g**3*g*g*g)/g*g)/(g/g**(-4)*g*(g/(g/(g*g*g/(g/(g/g**(-1/2))*g)*g)))/g))/(... | {
"pile_set_name": "DM Mathematics"
} |
3 - 3*t**2 - 4. Let d(y) = 6*l(y) - 10*s(y). Differentiate d(o) wrt o.
-30*o**2
Suppose 0 = -3*i - 15, -g - i = 2*i + 1. Suppose 0 = k + k - g. Find the third derivative of 7 - k + u**2 + 3*u**4 wrt u.
72*u
Suppose -5 = s - 15. Suppose -4*v + s = v. What is the third derivative of -l**4 + 3*l**4 - l**3 + l**3 + 2*l**v ... | {
"pile_set_name": "DM Mathematics"
} |
(b) 2 (c) f
b
Suppose 17*y - 14*y = 4*j - 47, 4*j - 7 = -5*y. Let i be 4/14 + (-10)/(-14). What is the second smallest value in -1/18, i, -4, y?
-4
Let p = -800 - -1174. Let d = -370 + p. What is the third biggest value in 0.3, d, 27?
0.3
Let l = 3551/372918 + -3/1366. Let r = l - 17/39. What is the biggest value in r... | {
"pile_set_name": "DM Mathematics"
} |
its digit of o?
6
Let h(g) = -5*g - 12. Let b be h(-5). Let k = 36 - b. What is the units digit of k?
3
Suppose -166 + 10 = 2*n - 3*x, n + 81 = 3*x. What is the tens digit of (18/(-15))/(6/n)?
1
Let y(v) = v**2 - 9*v + 6. Let l(k) = 2*k**2 - 17*k + 12. Let i(m) = -3*l(m) + 5*y(m). Let p be i(4). Suppose p*o = o + 17. W... | {
"pile_set_name": "DM Mathematics"
} |
m**2 - 1765 - 1939 + 3704 - 214*m**2.
-m**2
Collect the terms in 23*m**3 - 12818180861*m**2 + 12818180861*m**2 - 25*m**3.
-2*m**3
Collect the terms in -2 + 251509280*f - 251509279*f + 2.
f
Collect the terms in -608 + 284 - 5*x + 323.
-5*x - 1
Collect the terms in -h**3 + 0*h**3 - 7207*h**2 + 4*h**3 - 2722*h**2.
3*h**3 ... | {
"pile_set_name": "DM Mathematics"
} |
q) = 92*q**2. Calculate v(g(z)).
-276*z**2
Let q(t) = 377*t**2. Let h(u) = -12*u. Calculate q(h(p)).
54288*p**2
Let y(d) = 55*d + 24628. Let g(s) = 2*s. Determine g(y(c)).
110*c + 49256
Let j(x) be the first derivative of x**3 - 2. Let t(s) = 10*s**2 + 17*s**2 - 31*s**2. Determine j(t(w)).
48*w**4
Let p(x) = 2*x**2. Le... | {
"pile_set_name": "DM Mathematics"
} |
4*q**2)*(50*q - q + 17*q) to p*q**2 + l*q + m*q**3 + o and give o.
0
Express 7*d + 6*d**3 + 0*d**2 + 714 - 4*d**2 - 357 + 2*d**2 - 355 in the form c + r*d + a*d**2 + s*d**3 and give a.
-2
Rearrange (-u**2 - u + u)*(1 + 5 - 5)*(967 + 13478*u - 6741*u - 6740*u) to s*u**3 + w*u**2 + h + g*u and give w.
-967
Express (-3 - ... | {
"pile_set_name": "DM Mathematics"
} |
j = -387 - -430. What is the remainder when j is divided by 15?
13
Suppose 69 = 5*q - 3*p, -4 = 2*p + 2. Calculate the remainder when 35 is divided by q.
11
Calculate the remainder when 67 is divided by -6 - (132/110)/((-6)/80).
7
Suppose -4*b + 19 = -1. Suppose t - b*d = 137, -2*t = 5*d - 218 - 116. What is the remain... | {
"pile_set_name": "DM Mathematics"
} |
3*q for n.
-5
Suppose 3*c + i - 5 = c, 0 = -4*c - 3*i + 11. Solve 4*m + n = -21, 3 + 3 = -c*m + 4*n for m.
-5
Suppose 5*i + 0*i + 15 = 0. Let f be 25/3 + i/9. Suppose p = -p + f. Solve c + 3*c = -s - 7, -p*c = 4*s + 4 for c.
-2
Let b(q) = 5*q - 1. Let m be b(1). Suppose -m*v + 2*d + 0 = 2, 3*v = -d - 9. Let c be (-7)/(... | {
"pile_set_name": "DM Mathematics"
} |
16296*h for h.
-29
Solve -11420 - 37746 = 609*h + 6862 for h.
-92
Solve -14768*s + 810*s = 891*s + 282721 + 103353 for s.
-26
Solve -415*n + 6755 = -4887 + 22 for n.
28
Solve 433620*c = 433658*c - 76 for c.
2
Solve -16*z - 1899 = 100*z - 6307 for z.
38
Solve 171*r = 161*r - 2 + 16 - 214 for r.
-20
Solve 91*g + 419*g =... | {
"pile_set_name": "DM Mathematics"
} |
q, 6 = 5*g + 21*q - 17*q. Sort -0.8, g, -7 in decreasing order.
-0.8, g, -7
Let a = 95 - 22. Let y = a - 77. Let c = -0.1 + -0.1. Put -2/9, c, y in ascending order.
y, -2/9, c
Suppose 18*u - 160 = 13*u. Let y = u - 32. Put y, 4, -1 in descending order.
4, y, -1
Let u be 15/4 - (-16)/64. Let d = -3.5 - 1.5. Let q = d + ... | {
"pile_set_name": "DM Mathematics"
} |
v) be the first derivative of q(v). Determine t(-1).
8
Let a(l) = -l**3 + 7*l**2 - 8*l + 7. Suppose u - 36 = 4*u. Let v = u - -18. Determine a(v).
-5
Let v be 4 - (-1 - -3) - -2. Suppose -4*d + 3*g - v*g + 14 = 0, 3*g = 3*d - 3. Suppose d = 5*n - 6*n. Let i(l) = -3*l - 2. What is i(n)?
7
Let b(n) be the second derivati... | {
"pile_set_name": "DM Mathematics"
} |
-2 + sqrt(2) + -4))*-1)**2 + -6*sqrt(72)*6)*2.
-456*sqrt(2) + 77
Simplify (0 + -3 + 2*3*sqrt(242) + 4 + 4 + 3)**2.
1056*sqrt(2) + 8776
Simplify (sqrt(104) + -2*sqrt(104)*-3)/(sqrt(8) - (sqrt(8) + (sqrt(8) - (2*sqrt(968) - sqrt(968))))) + ((sqrt(13) + (sqrt(39)*-6)/sqrt(3))*-4)**2*-3.
-15600 + 7*sqrt(13)/10
Simplify (0 ... | {
"pile_set_name": "DM Mathematics"
} |
h smallest value in 5/6, 0.3, -1/7, -8, -2?
0.3
What is the biggest value in -0.12, 0.2, 4, -1/5?
4
Which is the third smallest value? (a) 1/9 (b) -1 (c) 0.05 (d) 88
a
Which is the third biggest value? (a) -2/11 (b) 2 (c) -2/33 (d) -5
a
Which is the smallest value? (a) 3 (b) 1/5 (c) -2 (d) 2
c
What is the f... | {
"pile_set_name": "DM Mathematics"
} |
-1 (c) y
c
Let m = -1.64 - -1.54. Let s = 105/4 - 27. What is the closest to -8/7 in m, 1, s?
s
Let h = 123 - 613/5. What is the nearest to -1 in 1/2, h, -4?
h
Let j be (1 - 2)/(1/(-2)). Suppose -8 = l - 10. Which is the nearest to l? (a) j (b) 1 (c) -0.1
a
Let f(m) = 2*m - 10. Let i be f(7). Let n = -0.7 - -1. Le... | {
"pile_set_name": "DM Mathematics"
} |
What is the second biggest value in 1131, a, 3?
3
Let w = 11.1 - 16.1. Let l(x) = x**2 + 3*x - 1. Let u be l(-6). Let r = u - 13. Which is the third biggest value? (a) w (b) 0 (c) -1/3 (d) r
c
Let u = -0.35 + 0.95. Let l = -18 - -14.4. Let m = u + l. Which is the biggest value? (a) -5 (b) m (c) -0.3
c
Let t = 90... | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 1663 is divided by 772?
119
Calculate the remainder when 147498 is divided by 22.
10
Calculate the remainder when 461 is divided by 6.
5
What is the remainder when 3918 is divided by 555?
33
What is the remainder when 50983 is divided by 76?
63
What is the remainder when 26307 is divided by 2169?
27... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(147))**2 - ((sqrt(15)*1)/sqrt(5))**2.
585
Simplify 0 + -2*(sqrt(98) + 1) + (sqrt(98) - ((1 + sqrt(98) - sqrt(98)) + 3)) + sqrt(98).
-6
Simplify 3 + 5 + 3*sqrt(1088).
8 + 24*sqrt(17)
Simplify sqrt(22)/((sqrt(24)/sqrt(2))/sqrt(6)).
sqrt(11)
Simplify sqrt(19) - (-1 + sqrt(1900)) - (-2*sqrt(304))**2.
-1215 - 9*sqrt(19... | {
"pile_set_name": "DM Mathematics"
} |
1542.8 (b) 1/8 (c) 66
a
What is the third biggest value in -3648, 6, -2, 3, -1/6, -1?
-1/6
What is the fifth biggest value in -2/5, -2, 5, 8, -5, -7.23, 1?
-2
Which is the third biggest value? (a) -0.995142 (b) -13/5 (c) 2/15 (d) 3 (e) 2/11 (f) 2
e
What is the fourth smallest value in -4, 53.16, -91/4, 6, 1/5, ... | {
"pile_set_name": "DM Mathematics"
} |
= 3*w - 8, 15*r + 7*r + 3*w = 15*r - 17 for r.
-5
Solve -7*g - 1 = 2*q + 25, -11 = 15440*g - 15437*g + q for g.
-4
Solve 3*u + 6*g = 27, 191*u = 188*u + 4*g + 7 for u.
5
Solve 2*z - 7*z + 114 = -3*y, -5*z + 1280 - 1160 = -5*y for z.
21
Solve 132*a - 2*u + 8 = -656, 3*u = -a + 1 for a.
-5
Solve 0 = 3*k + 5*r - 21, -15*... | {
"pile_set_name": "DM Mathematics"
} |
a. What is the units digit of y?
8
Suppose 0 = -z + h + 95, 2*z - 158 = h + 30. Let k = -62 + z. What is the units digit of k?
1
Let j = 167 - -663. What is the hundreds digit of j?
8
Let d = -1 - -3. Suppose 0 = d*b - b - 26. Let v = 7 + b. What is the units digit of v?
3
Suppose 5*i - 1982 = -127. What is the tens di... | {
"pile_set_name": "DM Mathematics"
} |
in 0.3, -110, -4, 4/7?
-110
Which is the third smallest value? (a) 2 (b) 2/15 (c) 3/68
a
What is the smallest value in -9, -3, -96?
-96
Which is the third smallest value? (a) 0 (b) 1/69 (c) 2
c
What is the smallest value in -5, -117/7, 0.4, -0.5?
-117/7
What is the second smallest value in 2, 0.1, -0.3, 3, -5?
-... | {
"pile_set_name": "DM Mathematics"
} |
(i) = 27*i**2 + 3*i - 2. Let m be t(3). Suppose 5*l + 0*l = m. Suppose -2*j + 3 = -3, -3*j - 11 = -2*u. What is the highest common factor of l and u?
10
Suppose -3*r + 4*w = -44 - 3, -52 = -3*r + 5*w. Let m = -5 + r. Suppose 0 = -m*p + 12 - 0, -45 = -3*y - 4*p. What is the highest common factor of y and 99?
11
Let v be... | {
"pile_set_name": "DM Mathematics"
} |
**3 = 0.
-2, -2/7, 0, 1
Let z = 126 - 122. Let g(q) be the first derivative of 7/16*q**z + 2 + 1/6*q**3 + 0*q**2 + 0*q. Factor g(i).
i**2*(7*i + 2)/4
Let r(z) be the third derivative of -z**7/735 + 3*z**6/35 - 72*z**5/35 + 144*z**4/7 - 3*z**2 - 3*z. Factor r(g).
-2*g*(g - 12)**3/7
Factor -667/3*p**2 + 799/3*p + 97/3*p*... | {
"pile_set_name": "DM Mathematics"
} |
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