text stringlengths 270 8.19k | meta dict |
|---|---|
e common denominator of p and ((-2)/(-16))/((-6)/1096).
66
Let j(x) = x + 1. Let r be ((-21)/(-14))/((-3)/(-6)). Let d be j(r). Let h = 4 + d. Calculate the lowest common multiple of 1 and h.
8
Let v = 997471/176 + -11335/2. Let i = 2579/528 + v. Find the common denominator of 59/4 and i.
12
Let x = 61987720337/153 + -405146115. Let g = 2384 - x. Find the common denominator of g and -63/4.
612
Let w(f) = -f**2 + 46*f - 231. Let c = -16 - -30. Calculate the least common multiple of w(39) and c.
42
Let n be (-317)/7 + (-2)/(-7). What is the lowest common multiple of 20 and (-16)/120 + (-276)/n?
60
Let n(i) = -27*i - 3. Let r(z) = -55*z - 6. Let w(g) = 13*n(g) - 6*r(g). Suppose -5*x - 36 + 106 = 0. What is the lowest common multiple of w(-1) and x?
126
Let j = 394 - 356. Let c(f) = -f**3 + 5*f**2 - 2. Calculate the least common multiple of c(4) and j.
266
Suppose -21 - 42 = m. Let i = 73 + m. What is the least common multiple of 29 and i?
290
What is the common denominator of 11/21 and (-1004)/(-12)*6/(-102) - -4?
357
Suppose 0 = 3*l - 2*h - 54, -3*l + 3*h + 51 = -0*h. Suppose 6*c - 2*c = l. Suppose -c*m + 110 = -0*m. Calculate the smallest common multiple of 14 and m.
154
What is the common denominator of (-20)/(-350)*((-168)/(-9) - 2) and (-146)/(-60) - 1 - 0?
210
What is the smallest common multiple of 50 and (-2)/((-36)/(-99))*(1 - 41)?
1100
Suppose 23*l - 51*l + 308 = 0. What is the smallest common multiple of l and 51?
561
Calculate the common denominator of -31/37 and (-394)/592 + (-33)/(-264).
37
Let i(t) = -t**2 - 30*t - 33. What is the smallest common multiple of 16 and i(-3)?
48
Let n(x) = 2*x - 7. Calculate the least common multiple of 15 and n(16).
75
Suppose -1 = -3*k + 5. Suppose w + k*q = q - 3, 7 = w - q. Suppose 3*g + w*p = 68, p + 5 - 6 = 0. What is the least common multiple of g and 10?
110
Suppose 171 = 7*c - 151. Calculate the lowest common multiple of 20 and c.
460
Let m(s) = 3*s**3 - 4*s**2 + 3*s. Let a be m(2). Let p be (178/a)/(24/267). Let h = p + -1026/7. Calculate the common denominator of h and 13/14.
56
Let z be (-498)/(-21) + 2/7. Let l = z - 16. Find the common denominator of 2/l*488/10 and -125/6.
30
Let j = -7139/17100 - 26/475. Calculate the common denominator of j and -119/40.
360
Suppose 15*r = 10*r + 45. Let y = r - 1. Calculate the lowest common multiple of (6/(-5))/(2/(-5)) and y.
24
Suppose 0 = 4*y - 3*r - 60, 3*y + 12 - 57 = 4*r. Calculate the lowest common multiple of y and 5.
15
Let l(p) = -12*p + 2. Let d be (2*(-2)/4)/((-1)/(-2)). What is the lowest common multiple of l(d) and 2?
26
Let h = -264 - -276. What is the smallest common multiple of h and 53?
636
Suppose -v + 5*k - 8*k + 19 = 0, -68 = -3*v + 2*k. Let c = 10 + -4. What is the smallest common multiple of c and v?
66
Let o = 117 + -115. Suppose -o*d + 28 + 152 = 0. What is the least common multiple of d and 1?
90
Let c be (10333/6)/(2360/56788). Let j = c - 41440. Let b = j - -51319/38940. What is the common denominator of -17/4 and b?
44
Calculate the smallest common multiple of -15*(35 + -30)/((-6)/4) and 15.
150
Let y(u) = u + 3. Let s be y(-1). Suppose b - s = -1. What is the common denominator of -55/6 and (1/b)/(36/(-242))?
18
Let m = -8/378791 - 1120193205/378791. Let g = m - -2962. Let x = -11 + 6. What is the common denominator of x and g?
7
Suppose -5*t + 2*z + 35 = 0, -53*t + 49*t - 4*z = -28. Calculate the least common multiple of ((-2)/5)/((-1)/5) and t.
14
Let r = 71 - 56. Calculate the common denominator of (282/20)/(12/4) and (-932)/(-220) - (-6)/r.
110
Let m = -1473/4 + 349. Find the common denominator of m and (-2)/(396/(-1113)) - (-10)/(-15).
44
Suppose 0 = -2*q + 13 - 3, -5*p + 260 = 4*q. What is the smallest common multiple of 32 and p?
96
What is the common denominator of -10 + 15 + 4 + (-329)/33 and 157/60?
660
Let j be (-46)/(-5) - (-4)/(-20). Let n be (j - 24)/((-3)/34). What is the common denominator of 21/20 and (6/54)/((-4)/n)?
180
Find the common denominator of -73/16 and 2/25*(1 + (-189)/(-696)).
2320
Let c(b) = 5*b + 102. What is the least common multiple of 105 and c(-18)?
420
Let b = -12166081/8 + 1517568. Let v = b - -3183. Calculate the common denominator of v and 0 - (0 + 230/12).
24
Find the common denominator of 91/1866 and -1 + (-130)/(-220) + 2.
20526
What is the common denominator of 53/740 and -107*(-2)/(-12) + (-768)/(-256)?
2220
What is the least common multiple of 8 - (1 + (-2 - 5)) and 38?
266
Let s = 36 - 33. Suppose -3*d + s*l + 21 = 0, -5*d + 4*d - 13 = 4*l. Suppose -i - 2*i + 21 = 0. What is the least common multiple of d and i?
21
Calculate the common denominator of (-227)/44 + (13 - 8) and -15/4.
44
Let y = 205997/10938 - -1/5469. Find the common denominator of (-1)/(-2)*(-10)/45*23 and y.
18
Suppose 5*j + 13 = -27. Let g be 383/j + (-6)/48. Calculate the common denominator of 55/6 and 252/g - 4/3.
12
What is the common denominator of -121/144 and ((-1)/(-66))/(12 - (-11376)/(-954))?
1584
Suppose 5*z + 6 = 2*z, 5*j - 3*z = 56. What is the lowest common multiple of 456 and j?
2280
Let u = -2587 + 20759/8. Let o be 72/(-1308) + (0 - 0). Let y = 926/981 + o. Find the common denominator of u and y.
72
Let c = -14309/70 + 1016/5. Suppose 2*g + 18 = 4*h, -3*g = -0*g + h + 48. Calculate the common denominator of 1 - 4/(48/g) and c.
28
Find the common denominator of 47/80 and (-22)/3*((-418)/200 + 2).
400
Let h = -910 + 2538. Let l = -6471/4 + h. Find the common denominator of l and -107/12.
12
Suppose 2*o + 63 - 71 = 0. What is the smallest common multiple of o and 1158?
2316
Let o be 25163/105 + 4/(-60)*-6. Let v = o - 240. What is the common denominator of v and -143/36?
252
Let i(o) = -o**2 + 3*o + 8. Let z be i(6). Find the common denominator of 64/z*(-5)/3 and (50/(-84))/(2/(-18)).
42
What is the common denominator of 4/(-20) - (2 - 214/20) and -79/117?
234
Let r be 1/6 + ((-75)/18 - -4). Calculate the common denominator of 43/4 and r/(3 - -5) + (-67)/27.
108
Suppose -940 = 2*y + 2*y - 2*z, -2*y = 2*z + 482. What is the common denominator of 127/6 and (-25)/90*y/(-10)?
12
Let b(w) = 3*w**2 + 2*w + 1. Let m(z) = z**3 - 2*z**2 - 7*z + 7. Let p be m(3). Calculate the least common multiple of 24 + p/(-10)*-8 and b(-1).
20
Calculate the common denominator of (3*(-88)/(-36))/(1080/(-198)) and 101/60.
180
Let a = -1437911/154 - -9337. What is the common denominator of -139/24 and a?
1848
Let z be (-6)/((105/40)/(-7)). Suppose 0 = 5*b - z - 14. Calculate the lowest common multiple of b and 2.
6
What is the common denominator of 75/(-12)*(-3)/(-180) and 12/(-8)*(-25)/(-6)?
48
Let l = 15/4 - 331/36. Find the common denominator of -4/57 and l.
171
Let l = 1031/4 - 15479/60. Find the common denominator of 13/6 and l.
30
Let y = -219 + -39. What is the common denominator of 81/2 and y/(-60) - 2/5?
10
Let m be -34 + (1 - (2 + 1)). Let q = m + 26. What is the common denominator of 3/2 and 2/q - (-865)/(-550)?
22
Let n be (-2974)/(-1080) - (0 + 1). Let l = n - 1/270. Calculate the common denominator of (-2613)/104*6/27 and l.
12
Suppose -3*y = -4*i + 135, -5*y - 1 = 4. Calculate the lowest common multiple of 96 and i.
1056
Let f be (-4 - -7 - 3) + -2. Find the common denominator of -47/24 and (31 + f)*(-9)/198.
264
Let t(b) be the second derivative of -b**4/12 + 2*b**3 + 3*b**2/2 - 24*b. What is the least common multiple of t(7) and 14?
266
Let d(c) = c**3 - 6*c**2 + 3. Suppose 0 = 11*b + 2134 - 2233. Calculate the lowest common multiple of b and d(6).
9
Let w = -5167/455 - -51/65. Let h = -538/35 - w. What is the common denominator of -49/10 and h?
10
Let o be (1421/8)/(-1) - (-21)/(-56). What is the common denominator of 3*2/(-3)*o/88 and (-142)/(-12) + (-1)/(-1)?
66
Calculate the least common multiple of 6 and (27/(-108))/((-3)/31356).
5226
Let n(q) = 16*q - 18. Let i be n(-7). Calculate the common denominator of 45/28 and (i - (7 + -6))*(-2)/24.
84
Suppose 4*a + 32 = a - 4*x, -5*x - 41 = 4*a. Let b be 389397/(-300) - (-1)/a. Let t = b + 1298. Find the common denominator of 46/3 and t.
75
Let k(b) be the first derivative of 27*b**2/2 - 3*b - 36. Calculate the lowest common multiple of k(1) and 28.
168
Let w be (33/6)/(5/70). Let j = 93 - w. What is the smallest common multiple of 38 and j?
304
Calculat | {
"pile_set_name": "DM Mathematics"
} |
sqrt(7) - sqrt(175)*6)))**2.
7168
Simplify (-1 + sqrt(162) + 1 + sqrt(162)*-2 + -1 + 0 + sqrt(2)*-2*-6 + -1 + 4)**2.
12*sqrt(2) + 22
Simplify 3 + ((5 + (sqrt(1008) + -5)*-3 - (3 + 5*(0 + sqrt(1008))))*-5)**2.
-81600*sqrt(7) + 1620028
Simplify (4*(sqrt(3630) + sqrt(3630)*-2*5))/(-6*(sqrt(10) - (sqrt(160) + sqrt(10))) + sqrt(180)/sqrt(2)).
-44*sqrt(3)/3
Simplify (sqrt(180)*-3*2 + 2)**2 - ((sqrt(320)*4)/sqrt(4))**2*-1.
-144*sqrt(5) + 7764
Simplify ((sqrt(3993) - (-2*sqrt(3993) - sqrt(3993))) + sqrt(33) + sqrt(33))/(sqrt(11) - sqrt(33)/sqrt(3)*2) - -3*(-5 + -4 + sqrt(27)).
-37*sqrt(3) - 27
Simplify ((-6*(sqrt(2) + sqrt(18) - sqrt(2)) - 1*(sqrt(2) - sqrt(18))) + 6*(sqrt(288) + 3*(sqrt(288) + (sqrt(288) - sqrt(288)*-2))))**2.
1692800
Simplify (((5*(sqrt(198)*-1 + sqrt(198)))/(-2*sqrt(11)*-6))/(6*(-4*sqrt(6) + sqrt(6)) - sqrt(30)/(sqrt(15)/sqrt(3))))**2.
0
Simplify ((((sqrt(234) + sqrt(234) + (sqrt(234) - (sqrt(234) + -1*sqrt(234)) - sqrt(234)) + sqrt(234) + sqrt(234))*2)/(4*sqrt(36)))/(-1*2*sqrt(2)*-5*3))**2.
13/900
Simplify (sqrt(27) + sqrt(135)/sqrt(500) - (sqrt(2700) + (sqrt(2700) - sqrt(2700)*4)))/(4*sqrt(90)/(sqrt(10) + (sqrt(20) + sqrt(40)/sqrt(2))/sqrt(2))).
633*sqrt(3)/40
Simplify ((1 + 1 + 1 + sqrt(175) + sqrt(175))*-5 - (-5 + sqrt(175)*1*-2 + -4))**2*-4.
-44944 - 1920*sqrt(7)
Simplify (-1*-5*sqrt(270)*1)/(sqrt(250) + 5*(sqrt(250) + -1*sqrt(250)) + (sqrt(250) - -3*sqrt(250)*-2)).
-3*sqrt(3)/4
Simplify ((sqrt(121)/sqrt(11) - sqrt(11))*-5 + sqrt(11)*3*4)**2 + -2 + 2 + sqrt(11) + 1 + 1*(-2*sqrt(11))**2.
sqrt(11) + 1629
Simplify (sqrt(343)*-3*-1 + -3 + sqrt(343) + -3 - (-1*sqrt(343)*-3 + sqrt(343)*2*4)*-2)**2.
-2184*sqrt(7) + 231904
Simplify (sqrt(190)*-1*5 + (sqrt(190) - sqrt(190)*-2)*6)/(sqrt(490)*-1*3).
-13*sqrt(19)/21
Simplify (2 + -2*(sqrt(1331) + 4) + sqrt(1331) + -2 + (sqrt(1331) + 3)**2)*1.
55*sqrt(11) + 1332
Simplify ((sqrt(96)/sqrt(4)*3)/(-2*2*sqrt(8)) - ((sqrt(48) + -2)*2 + (sqrt(48) - (sqrt(192)/sqrt(4) + 3))))**2.
-245*sqrt(3)/2 + 4459/16
Simplify -6*((sqrt(540)*-1*-5)/sqrt(12))/(sqrt(108)/sqrt(3)*-3).
5*sqrt(5)
Simplify (1*(-4 + sqrt(2448)*2)*-1 - (-1 + -1 + sqrt(2448) - (sqrt(2448) + (3*sqrt(2448) - sqrt(2448)) + 3)))**2.
81
Simplify ((5*(sqrt(99)*-4 + sqrt(99)))/(sqrt(1152)/sqrt(2)) - 3*(-3 + sqrt(99) + 0)*-5)**2.
-15525*sqrt(11)/4 + 1438875/64
Simplify -6*(1*(5 + -2*sqrt(4)/sqrt(2)) + -3*-4*sqrt(2) + sqrt(2) + (sqrt(2) - (-1*(4 + sqrt(2)) + sqrt(2))))**2.
-2214 - 1296*sqrt(2)
Simplify 4*3*((sqrt(70)*-2 + sqrt(70) + sqrt(70))*5 + ((sqrt(70) + sqrt(70)*2)*5 - sqrt(70) - sqrt(70)))/((sqrt(10) - sqrt(20)/sqrt(2)*5) + 1*sqrt(640)).
39*sqrt(7)
Simplify 2*(4*(-2*sqrt(468) + sqrt(468) - sqrt(468))*6 + (3*sqrt(832) - ((sqrt(13) - sqrt(52)/sqrt(4))*2)**2)).
-528*sqrt(13)
Simplify (((sqrt(99) + -1 + sqrt(99))*4 + sqrt(99) + sqrt(99)*1*1)*-2)**2 - (4*(sqrt(99)*-2 + sqrt(99))**2 - (6*sqrt(99)*5)**2).
-960*sqrt(11) + 128368
Simplify (sqrt(72)/sqrt(4) + -4)**2 - (-2*(sqrt(18)*2 + sqrt(18)))**2 - 5*(1*(sqrt(4608) + -1))**2.
-23659 + 456*sqrt(2)
Simplify ((((sqrt(1053) - (sqrt(1053) - (-1 + sqrt(1053)))*-6)**2 + sqrt(1053))*-6 - (-1 + sqrt(1053) + 5 + 0)**2) + -2)*1.
-7605 - 774*sqrt(13)
Simplify 3 + -5*(-6*((sqrt(80)*-1 + -1 - (1 + (sqrt(80) - (-1 + sqrt(80) + sqrt(80))))) + -3) + 5)**2.
-8402
Simplify -4 + (-2*(-2*sqrt(468) + 4) - 3*(0 + (sqrt(468) - (sqrt(468) + -3))))**2.
-816*sqrt(13) + 7773
Simplify ((1*sqrt(130) + sqrt(130))*4 - -3*(sqrt(130) + sqrt(130)*1))/((-3*(sqrt(70) + 1*sqrt(70) + sqrt(70)))/(sqrt(7) - (sqrt(7) + sqrt(252)/sqrt(4)))).
14*sqrt(13)/3
Simplify ((sqrt(117)*2*-6 + -2*sqrt(117)*3 + sqrt(117))/((-2*sqrt(441) - sqrt(441))*-3))**2 + -1 + -3.
-12119/3969
Simplify ((sqrt(2) - sqrt(24)/(-3*sqrt(12)))**2 - (sqrt(2) + sqrt(2) + (sqrt(6)/(sqrt(6)/sqrt(2)))**2)) + 3 + -4*(sqrt(18) + -5 - sqrt(2)).
-10*sqrt(2) + 221/9
Simplify (5*-4*(sqrt(50) - (sqrt(100) - (sqrt(100) + -4*sqrt(100) + sqrt(100)))/sqrt(2) - (sqrt(154)/(sqrt(11) + 4*sqrt(11)))/sqrt(7)))**2.
83232
Simplify ((-2*sqrt(88)*4 + sqrt(88) + (sqrt(88) - (sqrt(88) - sqrt(88)*1*-2)))*5)/(6*(1*(sqrt(1152) + -3*sqrt(1152)) - sqrt(1152))).
5*sqrt(11)/24
Simplify sqrt(396) + (-2 + sqrt(396))**2 + sqrt(22)/sqrt(50) + 1 - (sqrt(121) - sqrt(121)*-1*4)/sqrt(11)*-6.
61*sqrt(11)/5 + 401
Simplify (-6*(3 + sqrt(27)*-2 + 5 + sqrt(3)*1))**2 - (-4*1*sqrt(21))/(-1*-2*sqrt(7)).
-2878*sqrt(3) + 5004
Simplify (5 + (2*sqrt(468))**2 - 3*(sqrt(468) + -1)) + -5 - ((sqrt(65) + sqrt(65) + sqrt(65)*-3)*-1 - sqrt(65))/(3*sqrt(245) - sqrt(5)).
-18*sqrt(13) + 1875
Simplify ((sqrt(686) - (sqrt(686) + sqrt(686) + sqrt(686)*-3*-3))*-3)/(sqrt(8)*-5 - (sqrt(200)*-1 + sqrt(200))).
-21*sqrt(7)
Simplify ((sqrt(60)/sqrt(4) + sqrt(15))*4)/((2*sqrt(20))/sqrt(4)) - sqrt(15)/(sqrt(5)*2*-4)*-4*-6.
7*sqrt(3)
Simplify (-4 + 2*(-3*(sqrt(300) + -1 + sqrt(300)) + sqrt(300) + 5 + 1 + 1))**2 + 5.
-3200*sqrt(3) + 30261
Simplify ((((sqrt(85) - (sqrt(85) + (sqrt(85)*1 + sqrt(85) - sqrt(85)))) + sqrt(85))*-6)/(-1*sqrt(180)) + 2*-1*sqrt(102)/sqrt(6) + -1)**2*2*-1.
-138 - 8*sqrt(17)
Simplify 4*((sqrt(102)/(-2*sqrt(6)) - (sqrt(272) + 4 - sqrt(17))) + -1 - (sqrt(17) + 4*sqrt(17) + 4 - ((sqrt(85)/sqrt(5) - sqrt(17)) + -3))).
-34*sqrt(17) - 48
Simplify ((sqrt(6655)*2 - sqrt(6655))*-1)/(sqrt(45)/(5*sqrt(9)*5 - sqrt(9))).
-264*sqrt(11)
Simplify 4 + 0 + (6*-6*(0 + (sqrt(704) + 2 + sqrt(704) + -4 - sqrt(704) - sqrt(704) - (-2*sqrt(704)*1 - sqrt(704) - sqrt(704)))))**2.
-165888*sqrt(11) + 14603332
Simplify -1 + (2 + 1 + 4 + sqrt(147)*6 + -5)**2.
168*sqrt(3) + 5295
Simplify -1 + ((1*sqrt(475))**2 + (sqrt(931)*-2 - sqrt(931)) + sqrt(931) + 5 - (-5*-1*sqrt(114))/(sqrt(24)/(sqrt(4) + sqrt(20)/sqrt(5)))).
-24*sqrt(19) + 479
Simplify sqrt(147) + 1*sqrt(147)*2 + (1 + sqrt(147))*1 + 4 + -5*(5 + 4*(sqrt(432) - sqrt(432)*2))**2.
-34680 + 2428*sqrt(3)
Simplify 4*(-6*(-6*(sqrt(70) - -1*sqrt(70)) + sqrt(70) - -2*sqrt(70)*6)/((sqrt(10) - (1*sqrt(20))/sqrt(2)) + (sqrt(10)*-2 - sqrt(10) - sqrt(10))*1)*1)**2.
63
Simplify (3*((sqrt(156) - (sqrt(156) + 3*sqrt(156)) - sqrt(156))/sqrt(3) - sqrt(1872)*3))/(sqrt(16)/(sqrt(24)/sqrt(96)) - (sqrt(256) - sqrt(256)*-1)*4).
11*sqrt(13)/10
Simplify ((1*(sqrt(495)*-2 + sqrt(495)))/(sqrt(63)/(1*sqrt(7))))/(-3*((sqrt(1331) - (-2*sqrt(1331) - sqrt(1331) - sqrt(1331)))*2 - sqrt(1331) - sqrt(1331))).
sqrt(5)/264
Simplify ((sqrt(306)*-4 + sqrt(306) - sqrt(306))/sqrt(9) - (sqrt(238) + (sqrt(238) - 3*sqrt(238)))/sqrt(7))/(2*1*(sqrt(98) + -3*sqrt(98))).
3*sqrt(17)/28
Simplify (0 + sqrt(1053))**2 + sqrt(13) + (sqrt(52) + -1)**2 - (5*-1*sqrt(117))/(5*sqrt(9)*-1 - sqrt(9)).
-23*sqrt(13)/6 + 1106
Simplify (2 + sqrt(3645) + (sqrt(3645)*-3)**2 - (2*sqrt(1125) + -4)) + 5.
-3*sqrt(5) + 32816
Simplify 0 + ((-1*sqrt(576)*2)/((sqrt(3168)*-1 + sqrt(22))/sqrt(11)))**2 + 1.
1273/121
Simplify ((-4*-1*sqrt(459))/(sqrt(33)/(5*sqrt(99))) + -5)*-2.
-360*sqrt(17) + 10
Simplify ((-5 + sqrt(34)/sqrt(50))*-5 - (sqrt(119)*1*-6)/(sqrt(336)/sqrt(3) - sqrt(7)))*-6.
-150 - 6*sqrt(17)
Simplify -6*((-2 + -3 + (-1 + (sqrt(1300) - (sqrt(1300) - (3 + sqrt(1300) + -2)) - sqrt(1300)))*4)**2 + -5).
-120
Simplify ((sqrt(11) - sqrt(66)/(sqrt(150) + sqrt(6)))**2 + 4*1*sqrt(11))*-5 - (sqrt(99)*1 + 4 + 5)**2.
-74*sqrt(11) - 7855/36
Simplify (sqrt(704) - -3*sqrt(704)*-2) + (sqrt(704)*1 - sqrt(704))*-3 + sqrt(704) + -1 + (sqrt(704) - (1 + sqrt(704))) + 1 + 4 + 1.
-32*sqrt(11) + 4
Simplify (((sqrt(605) - (sqrt(605) + 3 + sqrt(605) + sqrt(605)*1)) + sqrt(605) - (sqrt(605) + sqrt(605) + -1 + 1)) + 0 + 2*(sqrt(80)*2 + -2 + 1))**2.
170*sqrt(5) + 1470
Simplify (2 + 3 + (-6*sqrt(152)*2)/(1*sqrt(8)*1) + 5)*-2.
-20 + 24*sqrt(19)
Simplify ((sqrt(504) + 4*1*sqrt(504))/(sqrt(24)/sqrt(32)))/((sqrt(6) - (-2*sqrt(30))/sqrt(5) - (sqrt(48)*-2)/sqrt(8))*3).
4*sqrt(7)/3
Simplify -3*(-5 + (sqrt(600) + -6*1*sqrt(600))/(sqrt(12) - (sqrt(12) + sqrt(12) + (sqrt(120)/sqrt(5) - sqrt(24))/sqrt(2)))*4).
-300*sqrt(2) + 15
Simplify ((3*(-1*sqrt(190)*-1 - -4*sqrt(190)*2))/((sqrt(6050) - sqrt(6050)*-2)/((sqrt(150)/sqrt(3))/sqrt(10))))**2*1.
1539/121
Simplify 4*((-3*-2*sqrt(143) + (sqrt(143)*-2 + sqrt(143) + sqrt(143))*-6)*3)/(4*1*sqrt(1331)*2).
9*sqrt(13)/11
Simplify (((sqrt(72)/(sqrt(36)/sqrt(3)))/sqrt(3) - (sqrt(112)/(sqrt(32)/sqrt(4)))/sqrt(7)) + -3 + sqrt(64)/(sqrt(18)/(sqrt(27)/sqrt(3))))**2. | {
"pile_set_name": "DM Mathematics"
} |
1575?
35
What is the highest common factor of 1393 and 14?
7
Calculate the highest common factor of 55 and 352.
11
What is the greatest common factor of 72 and 38574?
18
Calculate the highest common divisor of 17 and 281.
1
Calculate the greatest common divisor of 5 and 215.
5
What is the greatest common divisor of 18588 and 24?
12
Calculate the greatest common factor of 69917 and 139.
139
Calculate the greatest common factor of 60 and 270.
30
Calculate the highest common divisor of 10 and 2710.
10
What is the highest common factor of 14773 and 187?
187
What is the greatest common divisor of 1414 and 98?
14
What is the highest common divisor of 714 and 126?
42
What is the highest common factor of 3392 and 53?
53
What is the greatest common factor of 3700 and 700?
100
Calculate the highest common factor of 21995 and 498.
83
Calculate the highest common divisor of 9102 and 222.
222
What is the greatest common factor of 28 and 168?
28
What is the highest common factor of 162 and 4131?
81
What is the greatest common factor of 754 and 20?
2
What is the greatest common divisor of 204 and 34?
34
What is the highest common factor of 5644 and 136?
68
Calculate the greatest common factor of 28 and 644.
28
Calculate the greatest common divisor of 21 and 994.
7
What is the highest common factor of 18 and 2682?
18
Calculate the greatest common factor of 408 and 561.
51
What is the highest common divisor of 1956 and 12?
12
Calculate the highest common factor of 20 and 18.
2
Calculate the highest common factor of 400 and 2680.
40
Calculate the greatest common factor of 414 and 3335.
23
What is the greatest common divisor of 1230 and 2430?
30
What is the greatest common factor of 3174 and 92?
46
What is the highest common factor of 190 and 76?
38
Calculate the greatest common factor of 1588 and 16.
4
Calculate the greatest common divisor of 54 and 4374.
54
Calculate the greatest common factor of 8700 and 58.
58
Calculate the highest common factor of 8640 and 36.
36
What is the highest common factor of 5124 and 420?
84
What is the highest common factor of 4459 and 245?
49
What is the highest common divisor of 55 and 407?
11
Calculate the greatest common divisor of 1121 and 38.
19
What is the greatest common factor of 4030 and 10?
10
What is the greatest common divisor of 17763 and 191?
191
Calculate the greatest common factor of 60 and 84540.
60
What is the greatest common divisor of 513 and 297?
27
What is the highest common divisor of 2915 and 20?
5
Calculate the greatest common divisor of 8 and 248.
8
Calculate the greatest common factor of 74 and 6.
2
Calculate the highest common factor of 20 and 6860.
20
What is the greatest common divisor of 7238 and 154?
154
Calculate the highest common factor of 260 and 1612.
52
What is the greatest common divisor of 80 and 20?
20
What is the highest common divisor of 296 and 222?
74
What is the highest common divisor of 13677 and 141?
141
Calculate the greatest common factor of 172 and 4.
4
What is the greatest common divisor of 16677 and 109?
109
What is the greatest common divisor of 1617 and 33?
33
What is the highest common divisor of 63 and 36645?
21
What is the highest common divisor of 19 and 43795?
19
Calculate the greatest common divisor of 9348 and 76.
76
Calculate the highest common divisor of 3724 and 304.
76
Calculate the greatest common factor of 112 and 364.
28
What is the greatest common divisor of 27 and 3465?
9
What is the highest common divisor of 71343 and 9?
9
What is the greatest common divisor of 540 and 729?
27
Calculate the greatest common divisor of 528 and 64.
16
What is the highest common divisor of 588 and 490?
98
What is the highest common factor of 91 and 143?
13
What is the highest common divisor of 183 and 305?
61
What is the highest common factor of 190 and 114?
38
What is the greatest common divisor of 100 and 140?
20
Calculate the highest common factor of 14 and 119.
7
Calculate the greatest common divisor of 135 and 486.
27
What is the highest common divisor of 221 and 17?
17
What is the highest common factor of 224 and 7?
7
Calculate the greatest common factor of 768 and 288.
96
Calculate the highest common factor of 1211 and 11591.
173
What is the greatest common factor of 1334 and 203?
29
What is the highest common factor of 36 and 134?
2
What is the highest common divisor of 371 and 159?
53
Calculate the greatest common factor of 26 and 26.
26
What is the greatest common factor of 672 and 24?
24
What is the greatest common factor of 9268 and 56?
28
Calculate the greatest common divisor of 140 and 28.
28
Calculate the greatest common divisor of 5 and 1690.
5
What is the highest common factor of 1235 and 2717?
247
What is the greatest common factor of 12 and 1800?
12
What is the greatest common factor of 72 and 27576?
72
Calculate the highest common divisor of 13 and 73567.
13
What is the highest common divisor of 44 and 26961?
11
What is the greatest common factor of 8 and 374?
2
What is the highest common divisor of 25 and 365?
5
What is the highest common divisor of 28 and 10843?
7
Calculate the highest common factor of 19 and 95.
19
What is the greatest common factor of 4 and 16128?
4
Calculate the greatest common factor of 15 and 915.
15
What is the highest common factor of 3615 and 60?
15
Calculate the greatest common divisor of 8532 and 632.
316
Calculate the greatest common divisor of 5 and 1315.
5
What is the highest common divisor of 225 and 45?
45
What is the highest common factor of 232 and 638?
58
Calculate the highest common factor of 1 and 41.
1
Calculate the highest common divisor of 119 and 2227.
17
What is the greatest common factor of 22 and 1815?
11
What is the greatest common divisor of 2187 and 1?
1
Calculate the greatest common factor of 55 and 44.
11
What is the greatest common divisor of 364 and 7?
7
What is the highest common factor of 65 and 119080?
65
Calculate the greatest common divisor of 132 and 17358.
66
Calculate the highest common divisor of 323 and 38.
19
Calculate the greatest common divisor of 6336 and 198.
198
Calculate the highest common factor of 10105 and 235.
235
What is the greatest common divisor of 21644 and 28?
28
What is the greatest common divisor of 74 and 18?
2
Calculate the greatest common factor of 774 and 172.
86
Calculate the greatest common divisor of 56 and 8.
8
Calculate the highest common factor of 348 and 4.
4
What is the highest common factor of 190 and 1862?
38
What is the highest common factor of 2651 and 22?
11
What is the greatest common divisor of 27 and 387?
9
What is the highest common divisor of 49 and 91?
7
Calculate the highest common factor of 144 and 1944.
72
Calculate the highest common divisor of 9685 and 325.
65
What is the highest common factor of 4 and 16?
4
Calculate the highest common factor of 42 and 182.
14
What is the greatest common divisor of 238 and 102?
34
Calculate the highest common factor of 3064 and 8.
8
What is the greatest common factor of 143 and 767?
13
Calculate the greatest common divisor of 3136 and 42.
14
What is the greatest common factor of 44 and 16?
4
What is the highest common divisor of 990 and 33?
33
What is the highest common divisor of 125 and 1125?
125
What is the greatest common divisor of 90 and 144?
18
Calculate the highest common divisor of 655 and 262.
131
Calculate the greatest common divisor of 1104 and 14.
2
Calculate the greatest common factor of 702 and 26.
26
Calculate the highest common divisor of 24 and 28.
4
Calculate the highest common divisor of 12 and 42324.
12
Calculate the highest common divisor of 63 and 7.
7
Calculate the greatest common divisor of 403 and 217.
31
Calculate the greatest common factor of 42 and 3976.
14
What is the highest common factor of 146 and 4526?
146
What is the highest common divisor of 216 and 13752?
72
Calculate the highest common divisor of 5 and 5.
5
Calculate the highest common divisor of 4 and 316.
4
Calculate the greatest common divisor of 513 and 437.
19
Calculate the greatest common factor of 20 and 20.
20
Calculate the highest common divisor of 1430 and 2310.
110
What is the highest common divisor of 142 and 16259?
71
Calculate the greatest common divisor of 128 and 2.
2
What is the highest common divisor of 230 | {
"pile_set_name": "DM Mathematics"
} |
-6*g(f) + 17*k(f).
-507*f**3
Let h(u) be the first derivative of -43*u**2/2 + 3*u - 6131. Let d(a) = 388*a - 28. Give 3*d(p) + 28*h(p).
-40*p
Let f(c) be the first derivative of 5*c**4/2 + c**3 + 1147. Let n(x) = -19*x**3 - 5*x**2. Determine 7*f(a) + 4*n(a).
-6*a**3 + a**2
Let v(c) = -293*c**2 + c + 24. Let h(o) = -587*o**2 + 2*o + 42. What is -4*h(k) + 7*v(k)?
297*k**2 - k
Let f be ((-6)/24)/(1/(-28)). Let j(q) = -3*q**3 - 4*q. Let c(m) = 10*m**3 + 13*m - 1. Calculate f*j(x) + 2*c(x).
-x**3 - 2*x - 2
Let c(o) be the second derivative of -98*o - 2/3*o**3 - o**2 + 0. Let k(d) = -9*d - 5. Calculate -10*c(n) + 4*k(n).
4*n
Let g(q) = -2*q**3 + 4*q + 45. Let h(z) = -3*z**3 + z**2 + 5*z + 70. Calculate 5*g(y) - 4*h(y).
2*y**3 - 4*y**2 - 55
Let k = 44 - 528. Let p = 486 + k. Let j(a) = 2*a**2 - 2*a + 2. Let l(n) = n**3 - 1. Give p*l(d) + j(d).
2*d**3 + 2*d**2 - 2*d
Let l(n) = -433*n - 86. Let g(r) = 151*r + 29. Determine 17*g(o) + 6*l(o).
-31*o - 23
Let c(k) = 68*k. Let h(i) = i. Let m = -10678 - -10677. Calculate m*c(s) + 10*h(s).
-58*s
Let h(s) = 15*s**2 + 25*s + 16. Let g(z) = -7*z**2 - 11*z - 7. Let c(p) = 5*g(p) + 2*h(p). Let f(v) = -6*v**2 - 6*v - 4. Determine 4*c(t) - 3*f(t).
-2*t**2 - 2*t
Let r(p) = 510*p**2 + 160*p**2 - 4*p + 6*p - 672*p**2. Let z(o) = -3*o**2 + 3*o + 1. Give -5*r(m) + 3*z(m).
m**2 - m + 3
Let h(r) = 12 - 9 + 11 + 18*r - 16 - 3*r. Let j(b) = 76*b - 11. Let x = -3 - -14. What is x*h(y) - 2*j(y)?
13*y
Let k = 580 + -533. Suppose -12*q + 13 = -k. Let v be (5 - 1)/2 - 1. Let x(s) = -s. Let d(h) = 2*h. What is q*x(l) + v*d(l)?
-3*l
Let x(o) = -4*o**2 + 2*o - 73. Let b(y) = 15*y**2 - 8*y + 219. What is -2*b(q) - 7*x(q)?
-2*q**2 + 2*q + 73
Let t(h) = 6*h**2 + 17*h - 5. Let d(k) = -5*k**2 - 22*k + 5. Determine -3*d(y) - 4*t(y).
-9*y**2 - 2*y + 5
Let r(k) be the first derivative of -k**2 + k + 1. Suppose -5*a + 4*n = -n - 85, -29 = -2*a + n. Let u(p) = 4 - a + 4*p + 4 + 2. Determine -7*r(b) - 3*u(b).
2*b - 1
Let w(f) = 10*f**3 + 3*f**2 - 5*f + 5. Let q(l) = 19*l**3 + 5*l**2 - 7*l + 8. What is -3*q(n) + 5*w(n)?
-7*n**3 - 4*n + 1
Let r(l) = 7*l**3 + 117*l**2 + 10*l + 1. Let g(d) = -22*d**2 + d. Determine 5*g(a) + r(a).
7*a**3 + 7*a**2 + 15*a + 1
Let r(h) = 259*h**2. Suppose -8*p = -0*p + 160. Let f(i) = i**2 + i. Let t(q) = 30*q**2 + 20*q. Let k(z) = p*f(z) + t(z). Calculate -154*k(y) + 6*r(y).
14*y**2
Let g(t) = 270*t - 779. Let s(n) = 169*n - 520. Determine -5*g(p) + 8*s(p).
2*p - 265
Let n(s) = -17*s**3 + 21*s**2 - 41*s + 7. Let q(m) = 8*m**3 - 11*m**2 + 25*m - 4. Give 3*n(r) + 5*q(r).
-11*r**3 + 8*r**2 + 2*r + 1
Suppose 22*n - 18*n - 69 = -5*o, 20 = 4*o. Let r(h) = -2*h**3 + h**2 - 1. Let y(s) = 9*s**3 - 5*s**2 + 6. Give n*r(j) + 2*y(j).
-4*j**3 + j**2 + 1
Let f(c) = -361*c**3 - 43*c**2 - 6*c - 18. Let q(v) = 722*v**3 + 80*v**2 + 11*v + 33. What is 11*f(y) + 6*q(y)?
361*y**3 + 7*y**2
Let g = -4696 - -4728. Let r(i) = -1 - 3*i - 2 - 2*i. Let m(u) = 56*u + 32. Calculate g*r(k) + 3*m(k).
8*k
Let i(g) = 2*g**3 + 6*g**2 + 8*g - 41. Let d(r) = 2*r**3 + 5*r**2 + 7*r - 34. Let o(y) = -6*d(y) + 5*i(y). Let f(c) = c + 1. Determine f(p) + o(p).
-2*p**3 - p
Let a(r) = r - 11. Let b(i) = -94*i + 82. Determine 5*a(v) + b(v).
-89*v + 27
Let v(p) = 13*p**2 + 80*p - 13. Let o(w) = -41*w**2 - 243*w + 40. Calculate -6*o(q) - 19*v(q).
-q**2 - 62*q + 7
Let x(g) = 40*g**3 + 141*g**2 + 2*g - 1. Let m(k) = -60*k**3 - 206*k**2 - 3*k + 2. What is -5*m(o) - 8*x(o)?
-20*o**3 - 98*o**2 - o - 2
Let t(i) = i**3 - 2*i**2 - 1. Let q be t(2). Let j(y) = 14 + 10 + 15 - 63 + 23. Let u(x) = -2*x + 8. Calculate q*u(v) - 4*j(v).
2*v - 4
Suppose -15 = 3*o + 3. Let h(z) be the third derivative of -17/6*z**3 + 0 - 5/8*z**4 - 16*z**2 + 0*z. Let a(p) = 7*p + 8. Give o*h(d) - 13*a(d).
-d - 2
Let t(w) = 89*w**2 - 11*w - 11. Let x(z) = -17 - 30*z**2 + 14 + 6*z + 7 - 7*z + 5*z. Determine -4*t(i) - 11*x(i).
-26*i**2
Let g(u) = 2*u**2 - 489. Let o(a) = -2*a**2 + 457. Let c(i) = 14*g(i) + 15*o(i). Let d(m) = -m**2 + 6. Determine -5*c(q) + 8*d(q).
2*q**2 + 3
Let f(y) = 2*y**3 + 7*y**2 - 4*y + 6. Let p(w) = -5*w + 11. Let s be p(3). Let j be f(s). Let b(v) = -v. Let k(n) = n**2 + 6*n. Give j*b(d) + k(d).
d**2
Let f(q) = 13*q**2 - 8*q + 300. Let y(s) = 23*s**2 - 14*s + 601. What is -7*f(u) + 4*y(u)?
u**2 + 304
Let s(i) = -2*i**2 + 4*i. Let g(j) = 11*j**2 - 19*j + 5. Let c(t) = g(t) + 3*s(t). Let f(w) = -3*w**2 + 3*w - 2. Give 3*c(o) + 7*f(o).
-6*o**2 + 1
Let a = -118 - -126. Let s(b) = -b**3 + 3. Suppose -3*q = 3*d - 9, -3*q - 3 + 6 = d. Let g(c) = 3*c**3 - c - 8. Give a*s(z) + d*g(z).
z**3 - 3*z
Let y(d) = -11*d + 70. Let r(w) = -9*w + 59. Let i(l) = 6*r(l) - 5*y(l). Let h(f) = 1 + f + 10 - 6. What is -5*h(n) + 6*i(n)?
n - 1
Let t(z) = 15*z**3 + 16*z**2 + 9*z + 1. Let h(y) = -2*y**3 - y + 1. Determine 9*h(a) + t(a).
-3*a**3 + 16*a**2 + 10
Let m(x) = x - 101. Let y(j) = -2*j + 110. Calculate -5*m(b) - 4*y(b).
3*b + 65
Let c(f) = -5*f - 8. Let a(o) = 959*o + 47. Let z(j) = 698*j + 35. Let m(h) = -8*a(h) + 11*z(h). Calculate -3*c(v) - 2*m(v).
3*v + 6
Let a(b) = b**3 - 3*b**2 - 2*b - 1. Let v(x) = -5*x**3 + 1736*x**2 + 5*x + 3. Determine -3*a(g) - v(g).
2*g**3 - 1727*g**2 + g
Let s(f) = -9*f + 2. Let d(q) be the second derivative of q**2/2 - 29*q - 18. Calculate -d(u) + s(u).
-9*u + 1
Let m(o) = -o. Let f(x) = -2*x - 1. Suppose 16 = 7*b + 9. Let q be (b + 36/(-20))*5. Determine q*m(t) + f(t).
2*t - 1
Let y(o) = -11 + 8*o - 20 + 23. Let h(m) = 9*m - 9. Let d(g) = 5*h(g) - 6*y(g). Let t(a) = 3*a - 2. Give -3*d(v) - 4*t(v).
-3*v - 1
Let x be 14/4*(-3672)/2142. Let a(m) = 8*m**2 + 6*m - 29. Let w(b) = -3*b**2 - 2*b + 10. Give x*a(u) - 17*w(u).
3*u**2 - 2*u + 4
Let i(z) = 61*z - 254. Let y(a) = 25*a - 127. Determine -4*i(k) + 10*y(k).
6*k - 254
Let i(y) = -3*y + 2. Let l(c) = -6*c + 1. Let u(m) = 14*m - 2. Suppose 63 - 53 = 5*v. Let r(s) = v*u(s) + 5*l(s). Calculate -5*i(w) + 8*r(w).
-w - 2
Let y(d) = 1832*d**2 - 229*d + 229. Let v(n) = -4*n**2 + n - 1. What is 458*v(f) + 2*y(f)?
1832*f**2
Let u(w) = -2*w**3 - 8*w**2 + 5*w + 6. Let c(r) = -r**2 + r + 1. Suppose 116*d - 30 - 132 = -46. Determine d*u(l) - 6*c(l).
-2*l**3 - 2*l**2 - l
Let q(a) = -2*a**2 + 3*a - 4. Let p(c) = 6*c**2 - 16*c + 378. Let k(w) = 7*w**2 - 16*w + 259. Let v(b) = -3*k(b) + 2*p(b). Calculate 11*q(x) - 2*v(x).
-4*x**2 + x - 2
Let o be (19/2)/(3/6). Let k = 23 - o. Suppose x - 1 = -6, 5*y - 30 = -4*x. Let i(u) = 2*u + 2. Let n(c) = c**2 - 5*c - 5. Calculate k*n(r) + y*i(r).
4*r**2
Let p(x) = -6*x**2 - 186*x - 6. Let b(w) = 14*w**2 + 372*w + 12. Determine -4*b(a) - 9*p(a).
-2*a**2 + 186*a + 6
Let q(k) = 2*k**2 - 8. Let i(g) = -g**2 + 7. Let p(o) = 2*o**2 - 38*o + 2. Let v be p(19). What is v*q(x) + 3*i(x)?
x**2 + 5
Let n(s) = -6*s**2 - s - 2. Let l(u) = -20824*u**2 - 4*u - 8. What is l(v) - 4*n(v)?
-20800*v**2
Let l(p) = -9*p + 8. Let a(z) = -15*z + 9. Determine 6*a(o) - 7*l(o).
-27*o - 2
Let q(y) = -9*y**2 + 10*y - 28. Let o(a) = 41*a**2 - 39*a + 115. Determine 2*o(z) + 9*q(z).
z**2 + 12*z - 22
Let x(o) = 3*o + 6. Let v(c) = c + 2. Suppose 120 = -34*f - 6*f. What is f*x(i) + 8*v(i)?
-i - 2
Let c(u) = -70*u + 2803. Let n(s) = -87*s + 2802. What is -5*c(i) + 4*n(i)?
2*i - 2807
Let j(c) = -20*c - 105. Let k be j(-5). Let a(z) = 12*z - 7. Let g(f) = -6*f + 4. Give k*g(h) - 3*a(h).
-6*h + 1
Let g(x) = 8*x**3 - 6*x**2 - 3*x + 12. Let n(b) be the first derivative of 9*b**4/4 - 7*b**3/3 - 3*b**2/2 + 13*b + 3085. Calculate -7*g(j) + 6*n(j).
-2*j**3 + 3*j - 6
Let d(j) = -4*j + 1. Let i(o) = -27*o**2 - 18*o - 3. What is -5*d(l) - i(l)?
27*l**2 + 38*l - 2
Let f(a) = 6*a - 4. Let l(s) = -s**2 + 11*s - 7. Let c be l(9). Let n(r) = -2 + 2 - 10 + 3 + c*r. What is 5*f(u) - 3*n(u)?
-3*u + 1
Let r(a) = 724*a + 75. Let b(d) = -357*d - 36. Calculate 5*b(h) + 2*r(h).
-337*h - 30
Let k(u) = 326*u - 21. Let d(l) = 159*l - 9. Give -5*d(m) + 2*k(m).
-143*m + 3
Let u(p) = 4*p**3 + 2*p**2 + 2*p - 2. Let f be 66*(-12)/108 + 10/3. Let w(m) = -4*m**3 - 3*m**2 - 3*m + 3. Suppose -2*g - 7 = 5. What is f*w(x) + g*u(x)?
-8*x**3
Let d(w) = 11*w**2 + 3*w. Let u(k) = -4*k**2 - k + 9. Let g(x) = -8*x**2 - 2*x + 15. Let b(q) = 3*g(q) - 5*u(q). What is 17*b(r) + 6*d(r)?
-2*r**2 + r
Let g(o) = -o**2 - 6*o + 6. Suppose 11*q - 7*q = 2*v + 8, 4*v + 6 = -2*q. Let | {
"pile_set_name": "DM Mathematics"
} |
f -51/11 and 61/156013.
156013
Calculate the least common multiple of 1195 and 2227.
2661265
Find the common denominator of 41/3672 and -31/2754.
11016
Calculate the least common multiple of 14112 and 21952.
197568
What is the common denominator of 77/24 and 21/3158?
37896
What is the common denominator of -137/21492 and -133/216?
42984
What is the common denominator of -133/192 and 31/3200?
9600
Calculate the least common multiple of 94473 and 243.
850257
What is the lowest common multiple of 131295 and 175060?
525180
What is the common denominator of 115/40704 and 97/11448?
366336
Find the common denominator of 23/136 and -43/2720.
2720
What is the common denominator of 155/66 and 5/145167?
290334
Calculate the common denominator of -34/798181 and 61/5013.
7183629
What is the common denominator of -11/99003 and -27?
99003
Calculate the common denominator of -23/18516 and -179/46290.
92580
Find the common denominator of 167/9960 and 113/60.
9960
Calculate the least common multiple of 4934 and 4934.
4934
What is the common denominator of 181/19410 and -29/7117?
213510
What is the common denominator of -56/123913 and -10/123?
15241299
Calculate the least common multiple of 944 and 4292.
1012912
Find the common denominator of 11/10344 and 19/44.
113784
What is the lowest common multiple of 40335 and 1014?
13633230
Calculate the least common multiple of 395590 and 11050.
1977950
What is the least common multiple of 1408 and 208?
18304
Calculate the lowest common multiple of 29424 and 2976.
1824288
What is the lowest common multiple of 351 and 4563?
4563
Find the common denominator of -50/1647 and -13/378.
23058
Calculate the lowest common multiple of 118610 and 34.
2016370
What is the common denominator of -47/912 and 11/2784?
52896
What is the smallest common multiple of 3861 and 494?
146718
What is the common denominator of -113/342 and 17/3192?
9576
Find the common denominator of 41/43920 and 95/294.
2152080
Calculate the lowest common multiple of 2457 and 84.
9828
What is the smallest common multiple of 82733 and 2597?
579131
What is the lowest common multiple of 272690 and 173530?
1908830
Calculate the common denominator of -133/69264 and -69/416.
138528
What is the least common multiple of 10906 and 52?
283556
Calculate the common denominator of 71/53270 and -32/64685.
905590
Calculate the smallest common multiple of 21364 and 26705.
106820
What is the lowest common multiple of 462 and 15224?
319704
What is the common denominator of 25/891 and 52/13365?
13365
What is the common denominator of -99/80 and -67/1288?
12880
What is the common denominator of -87/76 and -123/1469800?
27926200
Calculate the common denominator of -95/7038 and 23/374.
77418
What is the lowest common multiple of 22 and 12124?
133364
Find the common denominator of 101/84 and -33/20624.
433104
What is the least common multiple of 3936 and 1599?
51168
Find the common denominator of -73/1295 and -57/748.
968660
What is the smallest common multiple of 5180 and 28?
5180
What is the common denominator of -31/4868 and -77/1199962?
2399924
What is the common denominator of 81/10 and 44/609677?
6096770
What is the common denominator of -95/2268 and -6/5?
11340
What is the lowest common multiple of 125990 and 138589?
1385890
What is the least common multiple of 244 and 66?
8052
Calculate the lowest common multiple of 244608 and 50960.
1223040
Calculate the common denominator of 58/221649 and 97/591064.
1773192
Calculate the common denominator of 21/2 and -7/11785.
23570
What is the common denominator of -101/112402 and 8/5?
562010
What is the lowest common multiple of 1404 and 2319?
1085292
What is the least common multiple of 1845 and 3765?
463095
What is the least common multiple of 470 and 84870?
3988890
What is the common denominator of -37/21159 and 31/9404?
84636
Calculate the least common multiple of 35 and 51114.
255570
Calculate the common denominator of 59/2262 and 73/2262.
2262
What is the common denominator of 181/9660 and 1/16560?
115920
Find the common denominator of -143/14400 and 121/45600.
273600
What is the least common multiple of 1506168 and 190?
7530840
Find the common denominator of 1/115 and 18/15157.
75785
Calculate the common denominator of 22/2315 and 19/482909.
2414545
Calculate the common denominator of 113/1710 and -35/15381.
2922390
What is the lowest common multiple of 75920 and 2756?
4023760
What is the common denominator of 17/47384 and 61/4?
47384
Calculate the least common multiple of 48 and 72.
144
What is the common denominator of -37/3590 and -15/476?
854420
What is the common denominator of -31/20601 and 65/2289?
20601
Calculate the least common multiple of 292 and 13140.
13140
What is the common denominator of -53/2511 and -5/7371?
228501
What is the common denominator of -37/533700 and 41/450?
533700
Calculate the common denominator of 41/45641 and -49/4.
182564
Calculate the common denominator of 44/39 and 13/3033.
39429
What is the least common multiple of 952 and 136000?
952000
What is the smallest common multiple of 7482 and 24?
29928
Find the common denominator of -44/435 and 38/5829.
29145
What is the common denominator of -7/39093 and -29/39093?
39093
Calculate the common denominator of 81/3212 and -21/22759.
6645628
Calculate the common denominator of -17/20180 and -77/151350.
302700
What is the lowest common multiple of 24 and 43440?
43440
Calculate the lowest common multiple of 111 and 7657.
849927
What is the smallest common multiple of 213372 and 231153?
2773836
What is the common denominator of 3/208132 and 37/12?
624396
Find the common denominator of -61/428 and -101/18.
3852
What is the least common multiple of 560 and 84?
1680
Find the common denominator of -41/45 and -53/4565.
41085
What is the lowest common multiple of 10140 and 7098?
70980
What is the common denominator of -59/36 and 28/310383?
1241532
What is the least common multiple of 66 and 2343?
4686
Find the common denominator of -83/126 and 129/5698.
51282
Calculate the common denominator of -149/643104 and 127/38976.
1286208
What is the common denominator of -56/6515 and 23/30?
39090
Calculate the common denominator of -49/27 and 73/2659959.
2659959
What is the common denominator of -29/44361 and 61/394320?
3548880
What is the common denominator of 89/6776 and -59/19250?
847000
Find the common denominator of 47/11682 and -23/404622.
4450842
Calculate the least common multiple of 123 and 162813.
6675333
What is the least common multiple of 53336 and 5876?
693368
Calculate the least common multiple of 364200 and 4200.
2549400
What is the smallest common multiple of 462 and 1673?
110418
Calculate the smallest common multiple of 56 and 13320.
93240
Find the common denominator of 83/4340 and -77/1616.
1753360
What is the common denominator of 73/9076 and 1/116?
263204
What is the lowest common multiple of 308 and 75460?
75460
What is the smallest common multiple of 2 and 351418?
351418
What is the common denominator of -83/17460 and 139/30?
17460
What is the lowest common multiple of 5888 and 3036?
194304
Calculate the smallest common multiple of 22968 and 180.
114840
Calculate the smallest common multiple of 608 and 1064.
4256
Calculate the least common multiple of 2782 and 112671.
225342
Calculate the lowest common multiple of 361310 and 397441.
3974410
Calculate the smallest common multiple of 33 and 135258.
1487838
What is the common denominator of -48/12679 and 49/620?
253580
Calculate the least common multiple of 9 and 533818.
4804362
What is the least common multiple of 2304 and 49920?
149760
Find the common denominator of 149/4650 and 133/5270.
79050
Find the common denominator of -16/386505 and 53/315.
386505
Calculate the common denominator of -39/686 and 149/402.
137886
Calculate the common denominator of -21/29962 and -97/59924.
59924
What is the common denominator of -62/945 and -109/2835?
2835
What is the common denominator of -47/324 and -7/312336?
312336
Calculate the common denominator of 37/32 and -93/418208.
418208
Calculate the common denominator of -31/60108 and -75/1052.
15808404
Calculate the common denominator of -25/351 and -89/1296.
16848
Calculate the least common multiple of 510 and 300.
5100
Calculate the common denominator of -82/8 | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {x: 3, k: 11, o: 5, c: 1}?
1/969
Calculate prob of picking 1 n and 2 t when three letters picked without replacement from nxtxtntxt.
1/7
Three letters picked without replacement from sbkasahgbhsasbbbh. Give prob of picking 1 k, 1 b, and 1 g.
1/136
Three letters picked without replacement from ayyaaaapaayayaayy. Give prob of picking 1 p and 2 a.
9/136
Three letters picked without replacement from {h: 1, n: 1, f: 1, g: 1, v: 3}. Give prob of picking 3 v.
1/35
Calculate prob of picking 3 l when three letters picked without replacement from {a: 6, l: 4}.
1/30
Two letters picked without replacement from oooooiiooo. Give prob of picking 2 o.
28/45
Three letters picked without replacement from ljrr. What is prob of picking 1 j and 2 r?
1/4
Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {k: 6, y: 4, w: 4, i: 1}.
16/273
Three letters picked without replacement from {i: 3, s: 5, c: 7, y: 2}. What is prob of picking 1 i, 1 c, and 1 y?
21/340
Two letters picked without replacement from {f: 3, z: 2}. What is prob of picking 1 f and 1 z?
3/5
What is prob of picking 1 h, 1 u, and 1 v when three letters picked without replacement from {v: 1, b: 1, u: 2, o: 4, h: 2}?
1/30
What is prob of picking 1 n and 2 h when three letters picked without replacement from {n: 2, b: 1, l: 1, h: 9, g: 4}?
9/85
Four letters picked without replacement from {x: 1, g: 2, n: 2, j: 14}. Give prob of picking 1 g, 2 n, and 1 j.
7/969
Two letters picked without replacement from qykzktkztzf. Give prob of picking 1 q and 1 f.
1/55
Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zztutzzzpzptptzppp.
7/102
What is prob of picking 1 f, 1 y, and 1 w when three letters picked without replacement from wfwfyffwffyf?
21/110
Two letters picked without replacement from rrsrrrs. Give prob of picking 1 s and 1 r.
10/21
What is prob of picking 3 i when three letters picked without replacement from qiqi?
0
What is prob of picking 1 q, 1 g, and 2 w when four letters picked without replacement from gaooooogqoww?
2/495
Calculate prob of picking 2 d and 1 k when three letters picked without replacement from {m: 1, d: 9, k: 1}.
12/55
Two letters picked without replacement from {j: 3, x: 5, v: 3, m: 2}. Give prob of picking 2 x.
5/39
Calculate prob of picking 1 a and 1 n when two letters picked without replacement from anaaaazazanz.
7/33
Calculate prob of picking 1 j and 3 z when four letters picked without replacement from apzpjtzatazezpa.
4/1365
What is prob of picking 2 h when two letters picked without replacement from {n: 3, a: 2, x: 1, h: 1}?
0
Four letters picked without replacement from fffllllllllllflllllf. Give prob of picking 2 l and 2 f.
70/323
Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {i: 1, a: 2}.
2/3
Two letters picked without replacement from {h: 2, w: 3}. What is prob of picking 1 w and 1 h?
3/5
Calculate prob of picking 2 p when two letters picked without replacement from {b: 3, p: 9}.
6/11
Two letters picked without replacement from ajjaajjjnjyj. Give prob of picking 1 y and 1 n.
1/66
Calculate prob of picking 1 v and 1 q when two letters picked without replacement from aaqqqvvkab.
2/15
Three letters picked without replacement from qnostnqsonqtnnvntt. What is prob of picking 1 t, 1 s, and 1 v?
1/102
Four letters picked without replacement from ttjjjeeeseeetmet. What is prob of picking 1 j, 2 t, and 1 s?
9/910
Four letters picked without replacement from lmttmztllt. What is prob of picking 1 t, 2 z, and 1 l?
0
Two letters picked without replacement from rrrrvorrrrorrrvrqvr. What is prob of picking 1 r and 1 q?
13/171
Four letters picked without replacement from dzzdd. Give prob of picking 2 d and 2 z.
3/5
Three letters picked without replacement from llvuuuuuvuuuupuuulu. Give prob of picking 2 l and 1 p.
1/323
Two letters picked without replacement from hhhhhhhhh. What is prob of picking 2 h?
1
What is prob of picking 1 k and 1 x when two letters picked without replacement from xhkhkkhhkkxh?
5/33
Four letters picked without replacement from {s: 14, u: 4}. What is prob of picking 2 s and 2 u?
91/510
Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 5, g: 14}.
70/171
What is prob of picking 2 h when two letters picked without replacement from jhjhjjj?
1/21
Calculate prob of picking 1 o, 2 s, and 1 a when four letters picked without replacement from {a: 4, s: 2, o: 6}.
8/165
What is prob of picking 1 d, 1 p, and 2 h when four letters picked without replacement from {h: 2, p: 2, d: 1, y: 1}?
2/15
Calculate prob of picking 2 s when two letters picked without replacement from {g: 13, s: 5}.
10/153
What is prob of picking 1 x, 1 c, and 1 p when three letters picked without replacement from xpppctllcplcplpppplc?
3/95
Calculate prob of picking 2 i when two letters picked without replacement from kkiikkkk.
1/28
What is prob of picking 1 h, 1 i, 1 b, and 1 z when four letters picked without replacement from izbqqihqbi?
1/35
Two letters picked without replacement from {b: 2, p: 2, g: 2}. What is prob of picking 1 p and 1 g?
4/15
Three letters picked without replacement from {c: 3, u: 2, k: 9, i: 3, e: 1}. Give prob of picking 1 k and 2 u.
3/272
Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 2, k: 3, j: 7}.
7/33
What is prob of picking 2 b when two letters picked without replacement from qcqfffbbbfff?
1/22
What is prob of picking 2 c when two letters picked without replacement from pctpmttmtccmcp?
6/91
Four letters picked without replacement from efeyeppjayfafap. What is prob of picking 1 p, 1 f, 1 e, and 1 a?
27/455
Two letters picked without replacement from {e: 1, d: 2, c: 10, y: 1}. Give prob of picking 1 c and 1 e.
10/91
Four letters picked without replacement from jjjjjjxjjjxjjxjj. What is prob of picking 1 x and 3 j?
33/70
Three letters picked without replacement from {t: 4, f: 14}. What is prob of picking 3 t?
1/204
What is prob of picking 2 b and 1 y when three letters picked without replacement from {b: 2, y: 3}?
3/10
Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {s: 2, t: 2, z: 3, m: 6, r: 2}.
9/91
What is prob of picking 1 y, 1 g, and 1 w when three letters picked without replacement from {g: 1, a: 1, n: 3, w: 3, y: 3}?
3/55
Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {j: 6, w: 4, d: 1}.
1/11
Calculate prob of picking 1 w, 1 i, and 1 u when three letters picked without replacement from {l: 1, n: 1, i: 1, m: 1, u: 4, w: 4}.
4/55
Two letters picked without replacement from kgkkgksskkkgggkkg. What is prob of picking 2 k?
9/34
Two letters picked without replacement from qqlqj. Give prob of picking 1 q and 1 j.
3/10
Four letters picked without replacement from {l: 2, s: 3, r: 4}. What is prob of picking 1 r and 3 s?
2/63
Two letters picked without replacement from ffodhffhfhofffhf. What is prob of picking 1 h and 1 f?
3/10
What is prob of picking 2 p and 1 w when three letters picked without replacement from pppww?
3/5
Three letters picked without replacement from bbybyybybey. What is prob of picking 2 y and 1 b?
10/33
Four letters picked without replacement from {x: 1, n: 12}. Give prob of picking 4 n.
9/13
Calculate prob of picking 1 l and 1 p when two letters picked without replacement from lpkp.
1/3
Three letters picked without replacement from {c: 3, u: 8}. Give prob of picking 2 u and 1 c.
28/55
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from ssttptstddtdddm.
1/105
Calculate prob of picking 2 x when two letters picked without replacement from {k: 2, n: 5, x: 9}.
3/10
What is prob of picking 1 i, 1 e, and 1 n when three letters picked without replacement from nqqvesqeieei?
2/55
Four letters picked without replacement from kiiikiikkiikkkkkikii. What is prob of picking 1 k and 3 i?
80/323
What is prob of picking 2 q, 1 t, and 1 v when four letters picked without replacement from {i: 2, q: 2, v: 7, t: 4, j: 2}?
1/85
Calculate prob of picking 1 x, 1 o, and 1 y when three letters picked without replacement from {x: 1, i: | {
"pile_set_name": "DM Mathematics"
} |
+ 10415. What is the closest to -0.1 in -907, j, 0?
0
Let g = -386.36 + 386.36. What is the closest to 16838 in g, 1, 0.5?
1
Let x be 624/(-14352) - (-98)/1196. Which is the nearest to 1? (a) x (b) 10 (c) -4
a
Let o be 4/(-10)*(-10)/(-22). Let l = -1926 - -1926.2. Let q = 57 + -53. What is the nearest to q in o, 0.5, l?
0.5
Let l = -3016/207 + 330/23. Which is the nearest to -6/19? (a) l (b) 2 (c) -27
a
Let m = 12/557 + 958/7241. Let t = 2.98 + 0.02. Which is the nearest to t? (a) m (b) 10 (c) -0.4
a
Let v = 62.8 + -62. Let b = v + -30.8. Let y = -30.4 - b. What is the closest to 1/4 in 5, y, -1/4?
-1/4
Let j = 1888 - 1888. Which is the nearest to j? (a) -0.5 (b) 5 (c) -0.02 (d) 2
c
Let y(m) = -9*m**2 - 10*m - 7. Let g be y(0). Which is the closest to 1/2? (a) 10 (b) 5 (c) g (d) 1/2
d
Let n = 83.7 - 198.7. Let u = 118 + n. Which is the nearest to 1/2? (a) -0.3 (b) u (c) -0.35
a
Let l be (3/9)/((-9)/72*20). Let y = -1 + 0. Let i(s) = s**2 - 9*s + 17. Let q be i(5). Which is the nearest to q? (a) 5 (b) l (c) y
c
Let w = 15.46 + -18.2. Let t = w + 2.94. What is the closest to 1 in 0.3, 23/4, t?
0.3
Suppose -2*s - 2*q + 1 = -5*q, -13 = -4*s - 5*q. Suppose -2*t + 2 = r + t, -2*t = s*r. What is the closest to r in 0, 27, -1, -0.4?
-1
Suppose -5*m + v = 115, 46*m + 3*v + 95 = 41*m. Let t be 34/6 + (-8)/12. What is the nearest to 2/3 in 1, t, m?
1
Let n = 98 - 97.9. Let q = -1/180 - 29/180. Which is the closest to n? (a) 3 (b) -0.5 (c) q
c
Let o = -15.4 + 17.4. Let p = 0.041 - -24.959. Let d = p - 23. Which is the closest to o? (a) d (b) -6 (c) -3/7
a
Let y be (-55)/161 + 716/(-8234). What is the nearest to 1/2 in y, -2/11, 0.7?
0.7
Let c = -10954/7 + 1565. Let m = -0.48 + 2.48. What is the closest to c in -1, m, 0.5?
0.5
Let q be ((-96)/8704)/(6/116). Let z = q + 3/34. Let s = 0.08 + 4.92. What is the closest to -2/7 in z, -0.1, s?
z
Suppose 8*k + 15 = 3*k. Let u be (k/48*-4)/(-1). Let o = 4.5 - 4. Which is the closest to u? (a) -0.1 (b) 2/3 (c) o
a
Let n be (-4)/16*-74*6. Let f = n - 111. Which is the closest to f? (a) -4 (b) 0.5 (c) 0 (d) -0.1
c
Let p = -82 + 82. Let o(w) = -w**2 - 21*w + 27. Let d be o(-22). What is the nearest to p in d, -0.3, 2/5?
-0.3
Let n = 178.3 - 240. Let i = 62 + n. Which is the nearest to 2? (a) i (b) -4/9 (c) -8
a
Let l = 11/907 + -167883/7256. What is the nearest to 1/3 in l, -4, -5?
-4
Let s = -1.1402 + 1.1202. What is the closest to s in 5, -0.17, -0.2, 0?
0
Let p = -1798.8 + 1797.8. Which is the nearest to -0.2445? (a) -2 (b) 3/7 (c) p
b
Let v be (22 - 11 - 7)/(-18). Which is the nearest to 0.3? (a) v (b) 39/5 (c) 3 (d) -2
a
Let n = 240 - 236.9. Let h = -14.1 + n. Which is the nearest to 1/2? (a) -5 (b) h (c) 0.1
c
Let f = 195 - 188. Suppose -810 = f*d - 768. What is the nearest to -2/9 in d, 0.4, 1/4?
1/4
Let w = 4 - 2. Let t be w + (-7)/4 + 0. Let s = -323.4 + 326.4. What is the nearest to s in 0, t, 5?
5
Let h = -1082 - -1082.1. What is the closest to -1 in 2, h, 5/6, -26?
h
Let a = 1727 + -1727.5. What is the closest to a in 0.04, -3/7, 2/7?
-3/7
Suppose 162 = 3*n + 51*n. Suppose 8*u - 5*u = -k + 70, -n*u - 52 = -k. What is the closest to k in -3, 4, 5?
5
Let h be 5 - -33*(-4)/44. Let k = 3/5 + -1/10. What is the closest to k in -0.2, 6/11, h?
6/11
Let v = 263.9903 + 1.0097. Which is the nearest to 1? (a) v (b) 1/7 (c) 4
b
Let w(r) = r**2 + 4*r - 12. Let o be w(-6). Let j be 13/(-7) + (-828)/(-966). Which is the nearest to o? (a) -1/32 (b) j (c) -0.5
a
Let j = -369.9788 - 0.0212. Let f = j - -375. What is the nearest to -2/7 in -4, f, 0, -8?
0
Suppose -2*f + 22 - 18 = 0. Which is the closest to f? (a) 2 (b) -12/7 (c) 2/7
a
Let r = -233/1428 - 25/204. Which is the closest to -2? (a) r (b) 0.1 (c) -0.37 (d) 0.5
c
Let l = 2909156/7 - 415594. Let q = 0 - 0.2. Which is the nearest to 1? (a) 97 (b) l (c) q
c
Let d = -21.71 + 27.8. Let l = -0.09 + d. Let k = 9 - l. Which is the nearest to 0? (a) k (b) -0.5 (c) -2/7
c
Let y = 0.035 + 0.052. Let s = -0.587 + y. Which is the closest to 2/3? (a) s (b) 2/9 (c) -5
b
Let y = 4850 - 4861. Which is the nearest to 1? (a) 4 (b) 0.3 (c) y (d) -8
b
Let n = -2230 - -2228. What is the nearest to -0.1 in 5, 3, n?
n
Let d = 2.2 + -2.3. Let n = 35 + -39. Which is the closest to d? (a) 0.2 (b) n (c) -3
a
Let g = 8.7 - 8.6. Let w = 99 - 99. What is the nearest to g in w, -5, -1?
w
Let i = 1.16582 + -0.86582. Let d = 3.03 - 0.03. What is the nearest to i in -1/2, d, 0?
0
Let r be -14 - (1 - 220/16). What is the closest to 1/4 in r, -57, 1, -5?
1
Let g = -1338/7 + 12112/63. What is the closest to 1 in 1, g, -0.1?
1
Let u = 6.897 + -0.197. Let g = 6.7 - u. Which is the nearest to g? (a) -3 (b) -5 (c) -1
c
Let t = 8.6 - 160.6. Let l = t + 151.9. What is the closest to l in 1/3, -8, -2/11?
-2/11
Let g be (-18)/12 - (-39)/26. Which is the nearest to g? (a) 0 (b) 5/6 (c) -9
a
Let s = -0.042 + 2.042. Let g = -168.9 + 169. Which is the closest to s? (a) g (b) -4 (c) -2
a
Let l = 136.22 - 136.02. What is the closest to 156 in -3, l, -5?
l
Let x = -1547 - -1481.1. Let z = x + 65.7. What is the nearest to z in -3/5, -2/11, 0.3, -5/3?
-2/11
Let x = -463 - -491. Let u = 134.4 - 134. Which is the nearest to x? (a) u (b) 0.3 (c) 4/7
c
Let y = 0.74 + 17.76. Let u = 56 + -74. Let q = u + y. Which is the nearest to 2/9? (a) q (b) 1/5 (c) -1
b
Let i be (-1)/(3/8*1/(-6)). Let a be 1/1*i/48. What is the nearest to -0.1 in 3/2, a, 5?
a
Suppose -2*c = 3*t + 7, -3*t - 7 = 5*c - 6*t. Let g be 9/c*(-28)/(-21)*-1. What is the closest to -1 in 11, g, -1/10?
-1/10
Let k = 179 + -105. Let x = -77 + k. Let u be 6/(-4)*(58/(-54) - -1). Which is the nearest to -6/13? (a) -4 (b) x (c) u
c
Let o(j) = 18*j**2 - 17*j - 15. Let q be o(-6). Suppose l - q = -4*l. Let h be 84/l - (-2)/(-3). What is the nearest to 2 in h, 2/7, -1?
2/7
Let o = -109/104 - -12/13. Let i = -5 - -6. Let q = i + 1. What is the nearest to -1 in q, o, 0?
o
Let f = -13007 + 13006.9. Let s = -14/13 + 348/299. Which is the nearest to f? (a) -3/2 (b) 41 (c) s (d) -0.4
c
Let x = 1406 + -1403. Let y = -3/13 - -2/65. Suppose -5*k + 6 = 3*o - 0, 4*k = -4*o. Which is the nearest to k? (a) y (b) 2/13 (c) x
c
Let w = -7859 + 7855. What is the nearest to 0.0603 in w, 5/2, -0.4?
-0.4
Let w be (-500)/(-625)*170/(-4) - -8. What is the nearest to 1 in 10, w, -0.3, 2?
2
Let y(o) = -454*o + 3180. Let p be y(7). Which is the closest to -0.1? (a) 3 (b) 4 (c) p (d) 5
c
Let v = 14702 - 14703.9579. Let h = v + -0.0421. Which is the nearest to -1? (a) -1/2 (b) 0.3 (c) h (d) 4
a
Let g = -0.4343 + 1.4343. Which is the nearest to -1? (a) g (b) 0.4 (c) -2/13 (d) -0.5
d
Let l(a) = -a**2 - 39*a - 42. Let k be l(-38). Suppose -7*s - 5*q = -5*s - 29, 0 = 4*s - 5*q + 17. What is the nearest to 9/2 in k, 0, s, 1?
s
Let d = -1 + 2. Let v be (24/(-12))/((-4)/(-4)). Which is the nearest to v? (a) -0.1 (b) d (c) 0.5
a
Let t = -1433 - -1435. Let y = 0.17 + 6.83. Let r = t - y. What is the nearest to -0.2 in r, 5, -19?
r
Let o = 871 - 7841/9. What is the nearest to o in 5, -25, -4, -2?
-2
Let o = -0.06 + 0.06. Let j = 5572.7 + -5573. What is the nearest to o in j, 0.7, 1/8?
1/8
Let h = -276 - -279. Let g = -0.74 + 0.94. Which is the nearest to g? (a) -2 (b) h (c) -5
a
Let d = 26606 + -26611. Let t = -0.1 + 1.1. Let j = 10 + -6. Which is the nearest to j? (a) t (b) -0.1 (c) d
a
Let h = 565 + -577. Let d = -16 - h. Which is the nearest to 4/11? (a) -1 (b) 2 (c) d
a
Let p = -416.0018 + 416. Let n = 0.0782 - p. Let o = 1.2 - 0.2. What is the closest to n in 0, -5, o?
0
Let a be -126 - 1*(-12)/(-9)*3. Let j = -129 - a. What is the closest to 2/3 in -47, -2/9, j?
j
Let l = -44599.1 - -44602. Which is the nearest to -1? (a) l (b) 2 (c) 3 (d) -8
b
Let n = 45.8 - 46.3. What is the closest to 1/2 in -1/30, n, 2?
-1/30
Let f be (16/18)/4 + (-872)/(-5040). Let b = 1/210 + f. What is the nearest to -1/29 in b, 2, 2/9?
2/9
Let k = 2205.5 + -2207.5. Which is the closest to k? (a) 7 (b) -1.3 (c) 5
b
Let r = -17/24 - -3/8. Let x = -167 + 276. Let g = 111 - x. Which is the nearest to 0.1? (a) g (b) 0.4 (c) r
b
Let u = -2.1 - -2. Let v = -17778 + 17776. Which is the nearest | {
"pile_set_name": "DM Mathematics"
} |
*a**2.
37*a**2 - 2*a - 16
Collect the terms in 299*q**2 - 118*q + 118*q - 113*q**2.
186*q**2
Collect the terms in -856073145*k + 856073145*k + 2*k**3.
2*k**3
Collect the terms in 59 + 45*c - 32*c - 6*c - 6*c.
c + 59
Collect the terms in -389*w + 1771*w - 456*w - 457*w - 461*w.
8*w
Collect the terms in -2*s + 1289 - 659 - 657.
-2*s - 27
Collect the terms in -199*f + 99*f - 15 + 102*f.
2*f - 15
Collect the terms in -1471 + 22*q**2 + 2952 - 1479.
22*q**2 + 2
Collect the terms in 14*k**2 - 24*k**2 - 24*k**2.
-34*k**2
Collect the terms in -455*m**3 - 265*m**3 - 102*m**3.
-822*m**3
Collect the terms in 5*x**3 - 4852609 + 4*x + 4852609 - 13*x.
5*x**3 - 9*x
Collect the terms in -59*n**3 + 1044*n**2 - 1044*n**2.
-59*n**3
Collect the terms in 79 + 3*i**3 + 0*i**3 + 0*i**3 - 4*i**3.
-i**3 + 79
Collect the terms in 6568*q**2 - 3250*q**2 - 3279*q**2 + 2.
39*q**2 + 2
Collect the terms in 346*s**3 - 3 - 228*s**3 - 121*s**3 + 3.
-3*s**3
Collect the terms in -294*s - 285*s - 289*s + 1440*s - 289*s - 286*s.
-3*s
Collect the terms in 5874 - 2*y + 5872 - 11746.
-2*y
Collect the terms in -23*w - 25*w - w**2 + 122*w + 1 + 167*w.
-w**2 + 241*w + 1
Collect the terms in -277*o**3 + 156*o**3 + 122*o**3.
o**3
Collect the terms in 1915*w**2 + 1830*w**2 - 3746*w**2 - 4*w + 10*w - 6*w.
-w**2
Collect the terms in 394*k**2 - 1346*k**2 - 326*k**2.
-1278*k**2
Collect the terms in 14*p**3 + 48210 - 96424 + 7*p**3 - 7*p**3 + 48214.
14*p**3
Collect the terms in -1 + 2481*k + 1 + 152*k.
2633*k
Collect the terms in 219 + 24*x + 21*x - 65*x + 16*x.
-4*x + 219
Collect the terms in 17 - 31 + 14 - 65*k**2.
-65*k**2
Collect the terms in -154*b - 186*b + 228*b.
-112*b
Collect the terms in 6022 - 3012 + 4*s**2 - 3010.
4*s**2
Collect the terms in -251*l**2 - 220*l**2 + 724*l**2 - 222*l**2.
31*l**2
Collect the terms in -679*z - 11*z**2 + 679*z + 0 + 0.
-11*z**2
Collect the terms in 156109*b + 168 - 168.
156109*b
Collect the terms in -62772*p + 125622*p - 62852*p.
-2*p
Collect the terms in 6 + 46 + 5*r**2 - 14 + 3*r + 5*r**2.
10*r**2 + 3*r + 38
Collect the terms in -23*t + 50*t - 34*t + 25*t.
18*t
Collect the terms in -983*j + 1980*j + 968*j.
1965*j
Collect the terms in 115*q**2 - 6030 + 6030 - 11*q**2.
104*q**2
Collect the terms in -1085*n + 368*n + 339*n + 341*n.
-37*n
Collect the terms in 2*z**3 - 101 + 1965*z**2 - 1965*z**2 + 101.
2*z**3
Collect the terms in 5747 - 2896 - 2851 - 2*i**3.
-2*i**3
Collect the terms in 34*g**2 - 507 + 30*g**2 - 17*g**2 + 507.
47*g**2
Collect the terms in 2*w - 2*w + 3038*w**2 - 3049*w**2.
-11*w**2
Collect the terms in 2 - 2 + 214609*u - 214614*u.
-5*u
Collect the terms in -797*l**2 + 4*l**3 - 797*l**2 + 1594*l**2 + 7.
4*l**3 + 7
Collect the terms in 3*a + 0*a + a - 7*a.
-3*a
Collect the terms in -105*k**2 - 1066*k**3 - 112*k**2 + 217*k**2 - 1466*k**3.
-2532*k**3
Collect the terms in 2919*j - 1136*j + 4546*j.
6329*j
Collect the terms in 358*z + 346*z - 707*z.
-3*z
Collect the terms in -13*t - 18*t - 10 + 12 + 29*t - 2.
-2*t
Collect the terms in -92*x**2 + 0*x**3 - 5*x**2 - 5*x - 16*x**2 - 3*x**3.
-3*x**3 - 113*x**2 - 5*x
Collect the terms in 228*z**2 + 576*z**2 - 277*z**2.
527*z**2
Collect the terms in -2549 + 2549 - 5879*l - 2012*l.
-7891*l
Collect the terms in 7*s**2 + 1427315102 - 1427315102.
7*s**2
Collect the terms in -32 - 28*s - 48*s + 12*s + 0*s.
-64*s - 32
Collect the terms in -6*z**2 + 38348*z - 5*z**3 - 38348*z.
-5*z**3 - 6*z**2
Collect the terms in 20*t + 99 - 20*t + 74*t**3.
74*t**3 + 99
Collect the terms in 5476*h**3 + 5051*h**3 + 4304*h**3 - h - 358*h**3.
14473*h**3 - h
Collect the terms in -40*h**3 + 43*h**3 - 44*h**3 + 51*h**3 - 7*h**2.
10*h**3 - 7*h**2
Collect the terms in 1 - k + 34*k**3 + k - 12*k**3 - 48*k**3.
-26*k**3 + 1
Collect the terms in 3*x**3 - 2*x**3 + 875 - 3646.
x**3 - 2771
Collect the terms in 2*w**3 + 24 + 196*w**2 - 58 - 102*w**2 - 94*w**2.
2*w**3 - 34
Collect the terms in -16*l - 126*l**3 + 22*l + 124*l**3.
-2*l**3 + 6*l
Collect the terms in -362*x - 14*x**3 - 9*x**3 + 31*x**3 - 7*x**3.
x**3 - 362*x
Collect the terms in 357*a - 239*a + 236*a + 310*a - 11.
664*a - 11
Collect the terms in -98*h**2 - 176*h**2 - 51*h**2 + 338*h**2.
13*h**2
Collect the terms in 1382*z - 711*z - 718*z.
-47*z
Collect the terms in 8*y**2 + 698641*y - y**2 - 698641*y.
7*y**2
Collect the terms in -21 - 5*o + o + 4*o - 9991*o**2 + 9984*o**2.
-7*o**2 - 21
Collect the terms in 2597*h**2 + 800 - 800 + 2623*h**2 - 2062*h**2.
3158*h**2
Collect the terms in -27*v**2 - 29*v**2 - 20*v**2 + 87*v**2 - 14*v**2.
-3*v**2
Collect the terms in 91318*l - 5*l**2 - 91109*l + 4*l**2.
-l**2 + 209*l
Collect the terms in 315*l**3 + 8*l**3 + 232*l**3 - 95*l**3.
460*l**3
Collect the terms in 47 - 2*h**2 + 163 + 119.
-2*h**2 + 329
Collect the terms in -17*m**2 + 19*m**2 - 389*m**3 + 406*m**3.
17*m**3 + 2*m**2
Collect the terms in 27616*w**3 + 29 - 27613*w**3 - 2.
3*w**3 + 27
Collect the terms in 4*n + 17*n - 4 - 7 + 19 - 8.
21*n
Collect the terms in -473*k + 124*k + 332*k.
-17*k
Collect the terms in 38 + 1842*q - 38 - q**3 - 1839*q.
-q**3 + 3*q
Collect the terms in 4 - 3*m**3 - 4 - 105*m - 662*m.
-3*m**3 - 767*m
Collect the terms in -10*v - 260*v**3 - 21*v + 31*v.
-260*v**3
Collect the terms in -108166*j**3 + 54085*j**3 + 54088*j**3.
7*j**3
Collect the terms in 2529*a**2 - 70555*a**3 - 2529*a**2 + 70543*a**3.
-12*a**3
Collect the terms in 100 - 9*f - 291 + 91 + 86.
-9*f - 14
Collect the terms in 2 + 133*g**3 - 1 + 54*g**3.
187*g**3 + 1
Collect the terms in 694*d + 26 - 15 + 693*d - 1389*d.
-2*d + 11
Collect the terms in -48411 - 5*h - 48411 - 48407 + 145229.
-5*h
Collect the terms in -35*c + 45*c - 278*c + 48*c.
-220*c
Collect the terms in -22 - 20 + 2190*b**3 + 42 - 2192*b**3.
-2*b**3
Collect the terms in 5718*p - 2*p**2 - 2861*p - 2857*p + 3*p**2.
p**2
Collect the terms in -3*q**2 - 9*q - 6*q - 10*q + 25*q.
-3*q**2
Collect the terms in -i**3 + 5*i**3 - 12*i**2 + 5*i**2 + 18*i**2.
4*i**3 + 11*i**2
Collect the terms in -67*c + 143*c - 119*c**2 + 2 - 76*c.
-119*c**2 + 2
Collect the terms in -26*l**2 + 104*l**2 - 28*l**2 - 27*l**2.
23*l**2
Collect the terms in -11*t + 3449 + t + 6*t - 3449 - t.
-5*t
Collect the terms in -2*o**2 + 161*o + o**2 + 4*o**2 + 6*o**2.
9*o**2 + 161*o
Collect the terms in 7 - 74 - 4*c**2 + 45.
-4*c**2 - 22
Collect the terms in 4 + 6 + 41 - 4 + 5 - 2*g.
-2*g + 52
Collect the terms in 0*d + 257*d**3 - 161*d**3 + 0*d.
96*d**3
Collect the terms in -6505*x - 3 + 3.
-6505*x
Collect the terms in -112*d**2 - 157*d**2 + 271*d**2.
2*d**2
Collect the terms in 14*x + 692*x**2 + 426*x**2 + 35*x - 49*x.
1118*x**2
Collect the terms in -12*j + 24869 - 49741 + 24872.
-12*j
Collect the terms in 111*k - 59*k - 710*k**3 - 52*k.
-710*k**3
Collect the terms in 67 - 6*a - 169 + 13*a + 102.
7*a
Collect the terms in -6*i**2 - 5*i**2 + 27*i**2 + 24*i**2 - 51*i**2.
-11*i**2
Collect the terms in -224 + 112 - 3*t + 43*t + 112.
40*t
Collect the terms in -451*r - 452*r - 509*r - 452*r + 1863*r.
-r
Collect the terms in -155670476*j - 18*j**3 + 155670476*j.
-18*j**3
Collect the terms in -6*s**2 - 16*s**2 + 21*s**2 + 64 - 64.
-s**2
Collect the terms in 66*p + 72*p - 143*p - 16*p.
-21*p
Collect the terms in -109*m**2 - 116*m**2 - 119*m**2 - 114*m**2 - 93*m**2 + 542*m**2.
-9*m**2
Collect the terms in 211*l + 1 - 745*l + 0 - 6.
-534*l - 5
Collect the terms in -f**3 + f**2 - f**2 - 6039100945 + 6039100945.
-f**3
Collect the terms in -19 - 33*s - 10*s**3 + 19 + 33*s.
-10*s**3
Collect the terms in 28*k**3 - 40 - 33 + 9*k**3 + 73.
37*k**3
Collect the terms in -453*g**2 - 461*g**2 + 1373*g**2 - 449*g**2.
10*g**2
Collect the terms in -1345*s**2 - 968*s**2 - 2996*s**2 + 243*s**2 + s.
-5066*s**2 + s
Collect the terms in -10 + 2*j**2 + 18*j - 45*j - 5*j - 34*j + 10.
2*j**2 - 66*j
Collect the terms in 8141*k**2 - 3 + 8141*k**2 + 3 - 16305*k**2.
-23*k**2
Collect the terms in -k + k + 87965*k**2.
87965*k**2
Collect the terms in -1908*v**3 + 14725*v**3 + 6583*v**3.
19400*v**3
Collect the terms in -19*w**3 + 3*w**3 + 5*w**3 + 0*w**3 + 7*w**3.
-4*w**3
Collect the terms in 68 - 39*r**3 - 68 - 2*r**2 - 149*r**3.
-188*r**3 - 2*r**2
Collect the terms in -17*g + 224446 - 224446.
-17*g
Collect the terms in 294*s + 221 - 439 + 218.
294*s
Collect the terms in 3*d + 0*d + 3*d - 4*d + 4*d.
6*d
Collect the ter | {
"pile_set_name": "DM Mathematics"
} |
0 = -5*g + 5*z. Let s be 0 - (g + -1 + 0). Solve 5*n - 10 = 5*f, f + s = -4*n - 3 for n.
-1
Let s be (3 - 24/5)*-10. Suppose -5*f - 2 = 28. Let r = s + f. Solve 4*u - 3 = 5*u + 2*t, -4*u - r = t for u.
-3
Let h(c) = c**3 + c**2 - 26*c - 6. Let p be h(5). Let k be (-110)/(-70) + 6/p. Suppose -4*v + 10 = -38. Solve 4*b = -k*m - v, 2*m + 12 = -m for b.
-1
Let p(v) = -v**2 - 178*v - 5315. Let y be p(-38). Solve 18 - 13 = -5*l - 5*q, y*q = l + 25 for l.
-5
Let l(s) = -s**3 + 2*s**2 + 4*s - 5. Suppose 52 = -18*d - 8*d. Let f be l(d). Solve -f*k - 3*q + 8*q + 12 = 0, 2*q = 4*k - 2 for k.
-1
Let n be 116/12 - 1/3*-1. Suppose -n*d = 14*d - 8*d. Solve a - 4*g + 9 = -2*g, 3*a + 4*g - 13 = d for a.
-1
Let j be 36*((-8)/3 + 3). Solve -10*c - 22 = 4*s - j*c, -4*s - 4*c = 4 for s.
-4
Let h = 22473 - 22473. Solve -a = -3*c + 16, -5*a - 20 = -3*c - h*c for c.
5
Let l(n) = -16*n + 168. Let o be l(8). Suppose -o*g = -53*g + 208. Suppose 2*t - 3 = 7. Solve t*r + 28 = -c - 3*c, -4*c - 2*r = g for c.
-2
Let r(x) be the third derivative of -x**6/120 - 7*x**5/60 - 5*x**4/8 - 3*x**3/2 + 73*x**2. Let i be r(-4). Solve 5 = -i*a + 2*a, 5*a = -y - 29 for y.
-4
Let h be (-6)/75 + (-2 - 760/(-125)). Solve -5*m + x - 25 = h*x, -5*x = 0 for m.
-5
Let i(u) = -8*u**2 + 404*u + 208. Let h be i(51). Solve 2*x = -3*c + 1, 5*x = -6*c + h*c - 14 for x.
-4
Suppose 0 = 10*r + 68 - 288. Suppose -5*a - 2 = -r. Let d = 15 - 13. Solve -2*h + 8 = -2*t, -a*h = d*t - 0*t - 22 for t.
1
Let n = -1899 + 1901. Solve 0 = -4*o + 4*r - 8 - 4, n*o + 10 = 4*r for o.
-1
Suppose -4*d = -5*b - 9 + 31, 4 = 2*d. Let v(h) = 19*h + 14. Let z be v(-1). Let o be (-3)/15*(z - -5). Solve y - b = -s, o = y - 5*s + s + 19 for y.
1
Let c be (-320)/30*(5/4 + -2). Solve -3*w - 7*s + 6*s = -c, 0 = w + s - 2 for w.
3
Let u(r) = 5*r - 3. Let g be u(7). Let i(j) = -113*j + 1020. Let x be i(9). Solve -x*b + 2*l + 3*l + g = 0, 5*b + 2*l - 12 = 0 for b.
4
Let y(b) = 56*b - 1. Let i be y(1). Suppose -4*p = 7 - i. Suppose -54*q + 177 = 5*q. Solve -f = -q*d - 2, -2*f - 5*d + p = -3 for f.
5
Let t be ((-1)/(-3))/(-3 - (0 - (-370)/(-120))). Solve -t*d = 5*w - 0*d - 21, w - 6 = d for w.
5
Let c = -1 - 1. Let l be 62/c + (-8 - (-2 - 3)). Let m = l + 39. Solve -2 = -t + 4*r + 1, 0 = m*r + 5 for t.
-1
Suppose j + 4*j - 20 = 0. Let s(c) = c**3 - 5*c**2 - 3*c + 19. Let v be s(5). Solve -5*a + j*a + 2*u - 3 = 0, 0 = a + 5*u - v for a.
-1
Suppose 398*d = 387*d + 22. Suppose -5*c + 35 = -2*a, d*c + 5 = -0*a - 3*a. Solve g + 5*b - 6*b = -1, -4*b = c*g - 31 for g.
3
Suppose 27 = 4*r + 3*z, 5*r - 2*z - 2 = r. Solve i - r = 3*a, -9*a = -6*a for i.
3
Suppose -12 = -3*g, 5*f - 300*g + 303*g - 32 = 0. Solve 3*x - 7 = w, w - 1 = 3*x - f*w for x.
3
Suppose -l + 5*x - 15 = 0, -4 = -2*x + 4. Let t(m) = 37*m - 183. Let r be t(l). Solve -6*v + 3*v - 8 = 2*p, r*v = -4*p for p.
2
Let d(t) = -121*t**2 - 1330*t + 15. Let n be d(-11). Solve 2*i + 10*f - 6*f - 4 = 0, -2*f + n = 0 for i.
-2
Let v be 52/((-48)/12) - -18. Solve 56 - 51 = -g - 3*y, -5*y = g + v for g.
-5
Let v(a) = -a**3 + 62*a**2 + 4*a + 3719. Let h be v(63). Solve -h*n + 5*s = -1 - 8, 4*s + 6 = n for n.
2
Suppose -14*s - 345 = 383. Let q be 1 + (6/(-45) - s/(-60)). Solve -l + 3*d = l + 7, 4*l - 2*d - 6 = q for l.
4
Let d = -4854 + 4858. Solve -4*u - d*n + n = 1, 3*u - 8 = -4*n for u.
-4
Let b = 5031 + -5024. Solve 0 = -2*q + 5*l - 19, -2*q - 3*q = l + b for q.
-2
Let x(u) = -122. Let p(q) = -q - 61. Let g(y) = -5*p(y) + 2*x(y). Let v be g(-9). Solve 4*s + 5*i - 12 + 1 = 0, -5*s - 4*i = -v for s.
4
Suppose c - 4 = -c. Suppose -c*g + 5 = 1. Suppose -5*w + 16 = 3*j - 7*w, 2*j = -4*w. Solve -j*t - u + 6 + 9 = 0, g*t + 10 = -4*u for t.
5
Let w(v) = -5*v - 7. Let p be w(18). Let u = p + 97. Let n(l) = -l**3 - l + 5. Let g be n(u). Solve g = -d + y, 6*d + 25 = d + 2*y for d.
-5
Let h = -513 + 205. Let g = -305 - h. Solve 0 = 3*q + 3*b + b + 9, g = -b for q.
1
Suppose -7*j - 2*b = -10*j + 106, -5*j + 165 = -b. Suppose 47*y - 30 = j*y. Solve -2*a - a + 5*k - 17 = 0, -y = -2*k for a.
-4
Let y = -107 + 167. Let u be y/(5/((-45)/(-6))). Let k be 4/30 + 1608/u. Solve -p - 3*j = p + k, 3*p - 7 = 4*j for p.
-3
Let y = 6164 + -6159. Solve d = -n - 3, 4*d = -y*n - 23 + 6 for n.
-5
Let y(q) = q**3 - 11*q**2 - 10*q - 21. Let a be y(12). Suppose -56*f + 59*f = a. Solve 0 = -3*o + 4*k - f, 4*o = -o + 2*k + 17 for o.
5
Let n = -814 + -51. Let r = n - -875. Solve q - 5*f = -q + r, -3*q + 15 = -f for q.
5
Let i = 2 - 4. Let k be i/8 - 259/(-28). Let u(x) = -x**3 - 7*x**2 + 8*x + 5. Let a be u(-8). Solve 2*m = j - k, a*j + 0*m - 2*m = 29 for j.
5
Suppose -5*k + 2*o - 6*o = -25, 5*k - 5*o - 25 = 0. Solve 32*g - 30*g + 10 = h, -2*h + 25 = -k*g for h.
0
Let l(a) be the second derivative of a**4/3 - 121*a**3/6 + 16*a**2 + 7*a - 7. Let s be l(30). Solve -4 = -2*f + 5*c, 2*f - c + s = c for f.
-3
Let w(k) = 5*k**2 + 7*k - 65. Let y be w(4). Let b be 4/(-14) - 208/7. Let f = y + b. Solve 0 = 3*u - p + f, u - 4*u - 5*p = 7 for u.
-4
Let o(s) = 2*s**3 - 19*s**2 - 130*s + 59. Let a be o(14). Solve -8*n = -5*c - 4*n + 6, -4*n - 2 = -a*c for c.
2
Suppose -104*u + 201 = -111. Solve 2*y - 4*w = u*y, -2*w - 6 = -y for y.
4
Let u(z) = 12*z - 18. Let k(w) = -29*w + 35. Let t(m) = -2*k(m) - 5*u(m). Let f be t(8). Solve -4*a - 12 = -f*i - 0*i, -5*i - 2*a = -29 for i.
5
Let u be (((-16)/7)/4)/((-6)/147). Suppose -16 = 6*w - u*w. Solve -3*q + l + 35 = -3*l, 0 = w*l + 10 for q.
5
Let w = 16 + -11. Suppose 0 = 4*r + 3*c - 39, 45*r - 69 = 40*r + 3*c. Solve 4*t = 2*a + r, -5*a = -4*t + w + 1 for t.
4
Let o(m) = m**3 - 17*m**2 + 6*m + 3. Let v be o(0). Solve -k = v*s + 6, 4*s - 15 = -2*k - 21 for k.
3
Let p = 21967 + -21945. Solve 4*z = 2*h, -27*z + 15 = -p*z for h.
6
Suppose 0 = -t + 4*z - 1, -5 = -4*t - 5*z + 12. Suppose 3*r - t = 9. Solve j - 1 = 3*a, -9 = r*j - 5*a + 1 for j.
-5
Let w(o) = 11*o + 74. Let f be w(-6). Solve -v = -3*j + f, -2*j + 13*v + 4 = 12*v for j.
4
Let f(i) = i + 0*i + 14 + 6 - 21. Let x be f(3). Let t = -6 - -12. Solve -2*d - x*u + 5 = 1, d + t = 3*u for d.
0
Suppose -f + 6*y + 12 = 8*y, -5*y + 24 = f. Suppose -5*g + 12 = -i + 2*i, -4*i = -f*g. Solve i*u - 6 = 2*l, 0 = 2*l - 5*u + 4*u + 1 for l.
2
Suppose -2 = q + 3*p + 6, 10 = -5*q - 5*p. Suppose 8 = 4*a + 12. Let l be 1 - (q + a - 2). Solve -2*w + l*n = -25, w + 3*n + 30 = 4*w for w.
5
Let i = 267 + -155. Let o = i - 109. Solve 0 = -5*b + c + 6 + 10, -o*c - 3 = 0 for b.
3
Suppose 0 = -2*g - 3*g. Let p(t) = t**3 - 5*t**2 - 7*t + 12. Let y be p(6). Suppose v + y - 8 = g. Solve -v*k - 4 = 0, -5*u + k - 3*k = 4 for u.
0
Suppose 3*a - 15 = -2*l, 0 = -2*a + 1 + 5. Suppose l*o = 2*t + 4*o, o = 4*t. Let m be (-2)/((-22)/6 - -3). Solve -m*u - f - 16 = 0, 5*u = -2*f - t - 27 for u.
-5
Let t be (-24)/30*(765/(-18))/17. Solve -2*y - 16 + 0 = t*k, 15 = -5*y for k.
-5
Let s(y) = 3*y + 10. Let i be s(-4). Let x be (-2)/i*(-2 - -7). Let k be (6/x)/((-26)/(-65)). Solve -6*o + o + 37 = 3*l, -23 = -k*o - 2*l for o.
5
Suppose -3*u = w - 30, -2*u + 31 - 5 = w. Solve 4*k + w = -2*x, 4*k + 19 = 4*x - 5 for x.
1
Let a = -5 - -5. Let f be ((-24)/10)/(4/(-15)). Let l be (-2)/15 + (-28)/(-210). Solve z - 2*p - 7 = a, -5*z - 4*p - f - 12 = l for z.
-1
Let k = -10556 + 10570. Solve k = -3*s + 2*g, -s + 8*g = 4*g + 18 for s.
-2
Suppose 11*g = 86 - 9. Suppose 2*r + 0 - 6 = 2*k, 5*k - 10 = 0. Suppose l + g = -r*v + v, v = -5*l + 22. Solve -2*j - 20 = 4*a, -3*a - 3*j = -4*j + l for a.
-3
Let l(b) = 38*b**2 - 2*b + 32. Let z be l(5). Suppose 968*y = z*y. Solve y*w + w = 2*p + 2, -4*p = -w + 6 for p.
-2
Suppose 0 = 15*j - 13 - 17. Suppose j*w + 4*l = -w + 9, -w = -5*l - 22. Solve -2*k - f = k - w, 0 = 4*k + 3*f - 16 for k.
1
Let k = 3698 - 3695. Solve 2*i = 4*q + 4, 2*i - k*q - 11 = -10 for i.
-4
Let y = 94 - 94. Suppose y*g - 14 = -4*v - 2*g, -2*g - 18 = -4*v. Solve 27 = 4*k - 3*u, -2*k + 4*k + v*u + 14 = 0 for k.
3
Let o(r) = 4*r**2 + 67*r + 50. Let m be o(-16). Solve -5*t = 2*s - 33, -2*s - 3*s - m*t = -30 for s.
4
Suppose 0 = 3*n - 3*p - 24, -p - 24 = -n - 2*n. Let m be (-4)/8 + 116/n. Suppose -4*k + m*k - 30 = 0. Solve k*r + 5*d = r + 31, -5*r + 2*d = -5 for r.
3
Suppose -2*t - 5*l = -l + 28, 2*l + 32 = -4*t. Let z = -2 - t. Let u = 96 + -94. Solve 0 = z*x - n - 0 - 2, 4*x + u*n + 4 = 0 f | {
"pile_set_name": "DM Mathematics"
} |
**4 + 0*r + 2/7*r**5.
2*r**3*(r - 1)*(r + 1)/7
Let i = 1007/15 - 199/3. Factor -2/5*v**2 + 0 + i*v.
-2*v*(v - 2)/5
Find y such that 4/5*y**5 - 1/5*y + 0 - 3/5*y**3 - y**4 + y**2 = 0.
-1, 0, 1/4, 1
Suppose c = 2*c. Let t = c + 0. Factor 2*i**5 + 4*i**3 + 2 - 7*i**4 + 4*i**2 + t + i**4 - 6*i.
2*(i - 1)**4*(i + 1)
Let o(f) be the first derivative of -4*f**5/5 - 3*f**4 + 4*f**3 - 3. Let k(x) = x**4 + 4*x**3 - 4*x**2. Let c(i) = -7*k(i) - 2*o(i). Solve c(v) = 0 for v.
0, 2
Find b such that -4*b**3 + b**3 - 5 + 5 - 3*b**2 = 0.
-1, 0
Let p(l) be the second derivative of l**4/30 + 2*l**3/15 + 9*l. Solve p(f) = 0.
-2, 0
Let w(l) be the first derivative of -3*l**4/20 - 2*l**3/5 + 5. Factor w(z).
-3*z**2*(z + 2)/5
Let c(b) = b**3 - b**2 + 1. Let f(k) = k - 7. Let w be f(8). Let j be c(w). Factor -1/4*y**2 - j - y.
-(y + 2)**2/4
Let w be 0 - (-2 + 4) - 0. Let k be (-4)/w - (-6)/18. Factor k*p + 3*p**3 + 1/3 + 5*p**2.
(p + 1)*(3*p + 1)**2/3
Let l(a) = -3*a**4 - 54*a**3 - 102*a**2 - 96*a - 27. Let x(u) = 2*u**3 - u**2 - u - 1. Let i(o) = l(o) + 6*x(o). Factor i(z).
-3*(z + 1)**3*(z + 11)
Let g(b) be the second derivative of b**4/6 - 2*b**3 + 4*b**2 + 2*b. Let y(x) = -x**2 + 8*x - 5. Let q = 13 - 8. Let o(v) = q*g(v) + 8*y(v). Factor o(s).
2*s*(s + 2)
Let p(z) = 25*z**3 - 40*z**2 + 64*z - 32. Let b(m) = 3*m**3 - 5*m**2 + 8*m - 4. Let v(l) = 51*b(l) - 6*p(l). Suppose v(r) = 0. What is r?
1, 2
Let i(a) be the first derivative of a**6/60 + a**5/30 - a**2 - 2. Let y(c) be the second derivative of i(c). Solve y(o) = 0 for o.
-1, 0
Let x(s) be the first derivative of s**3 + 10. Factor x(y).
3*y**2
Let w = 4 + -2. Suppose -s**3 + w*s**2 - 2*s**2 - 2*s**5 - s**3 + 4*s**4 = 0. Calculate s.
0, 1
Let -2/3*r + 1 - 1/3*r**2 = 0. Calculate r.
-3, 1
Suppose 3*b = -2*b. Let a(l) be the second derivative of -2/3*l**2 - 1/9*l**3 + 1/18*l**4 + b - l. What is x in a(x) = 0?
-1, 2
Let z = 10 - 7. Factor -4*f**z - 8*f**3 + f**4 + 13*f**3.
f**3*(f + 1)
Determine w, given that -619*w**2 + 2*w**3 + 6*w + 2*w + 627*w**2 = 0.
-2, 0
Let l(r) = r - 2. Let y be l(5). Let z(m) = -3*m**3 - m**2 - 5*m + 5. Let o(w) = 2*w**3 + w**2 + 4*w - 4. Let x(d) = y*z(d) + 4*o(d). Factor x(s).
-(s - 1)**2*(s + 1)
Let u(s) be the third derivative of -s**6/240 - s**5/30 - s**4/12 + 13*s**2. Factor u(y).
-y*(y + 2)**2/2
Let u be ((-140)/(-168))/((-5)/(-4)). Factor -1/3*v**5 + 0 + 1/3*v + 2/3*v**2 - u*v**4 + 0*v**3.
-v*(v - 1)*(v + 1)**3/3
Let m(y) = 2*y**5 - 7*y**3 + 5*y**2 + 5*y - 5. Let v(s) = s**5 - 4*s**3 + 3*s**2 + 3*s - 3. Let z(o) = 6*m(o) - 10*v(o). Factor z(a).
2*a**3*(a - 1)*(a + 1)
Let a(w) = -2*w**3 + 5*w**2 - w - 2. Let s(g) = 5*g**3 - 11*g**2 + 2*g + 4. Let j(m) = 7*a(m) + 3*s(m). Suppose j(y) = 0. What is y?
-2, -1, 1
Suppose 5*r + 15 = 8*r. Let y(s) be the first derivative of 1/12*s**6 + 0*s - 2/5*s**r + 3/4*s**4 - 2 - 2/3*s**3 + 1/4*s**2. What is m in y(m) = 0?
0, 1
Let v(c) be the third derivative of -c**10/6048 - c**9/5040 + c**8/3360 + c**4/24 + 2*c**2. Let u(p) be the second derivative of v(p). What is o in u(o) = 0?
-1, 0, 2/5
Suppose 2*y = 1 - 11. Let p(w) = -6*w**3 - 3*w**2 + 6*w + 21. Let f(g) = 3*g**3 + g**2 - 3*g - 11. Let m(u) = y*p(u) - 9*f(u). Suppose m(c) = 0. Calculate c.
-2, -1, 1
Let b(f) be the third derivative of f**6/780 + f**5/390 - f**4/156 - f**3/39 + 2*f**2. Let b(i) = 0. Calculate i.
-1, 1
Find b, given that -4 - b**2 - 6*b**2 + 5*b**2 - 6*b = 0.
-2, -1
Let m(w) be the first derivative of -4/5*w - 3/25*w**5 - 1/30*w**6 + 6 + 7/15*w**3 + 0*w**2 + 1/20*w**4. Let m(y) = 0. What is y?
-2, -1, 1
Let c be 1/(2*(-3)/(-90)). Let q(r) = 3*r**4 + 12*r**3 + 15*r**2 - 15. Let l(j) = j**4 + 3*j**3 + 4*j**2 - 4. Let p(s) = c*l(s) - 4*q(s). Factor p(g).
3*g**3*(g - 1)
Let o = 618033/10510 - 9/2102. Let q = o - 3214/55. Factor 0*g**3 + q*g + 0 + 2/11*g**4 - 6/11*g**2.
2*g*(g - 1)**2*(g + 2)/11
Let o(u) = 0*u**3 - 2*u**3 - 3*u - 3*u**2 + u + u**4 + 0*u. Let l(d) = -d**3 - d**2 - d. Let v(a) = -4*l(a) + 2*o(a). Solve v(g) = 0 for g.
-1, 0, 1
Let u be ((-25)/(-24) + -1)*1. Let x(r) be the second derivative of 1/12*r**3 - 2*r - 1/2*r**2 + 0 + u*r**4. Determine i, given that x(i) = 0.
-2, 1
Factor 3/5*u**3 + 12/5*u**2 + 6/5 + 3*u.
3*(u + 1)**2*(u + 2)/5
Let z = -1086 - -1091. Find f such that -f**z + 0 + 9/7*f**4 + 2/7*f - 9/7*f**2 + 5/7*f**3 = 0.
-1, 0, 2/7, 1
Let n(o) = 10*o + 2. Let i be n(-2). Let m be i/(-3 - 3/(-2)). Factor -64*p**3 - 40*p**2 + 11*p**2 - m*p + 3 - 4 - 19*p**2.
-(4*p + 1)**3
Let b(i) = -i**3 - 11*i**2 + 12*i + 3. Let y be b(-12). Let v(t) be the first derivative of -1 + 4/9*t**y + 0*t + 1/6*t**2. Factor v(d).
d*(4*d + 1)/3
Solve -5*l + 46*l**4 + 0*l**5 + 1 + 9*l**5 - 6*l**4 - 5*l**2 + 7*l**5 + 25*l**3 = 0 for l.
-1, 1/4
Let q(f) be the second derivative of -3*f**5/110 - 5*f**4/66 - f**3/33 + f**2/11 + 3*f. Suppose q(n) = 0. Calculate n.
-1, 1/3
Let 125*p**3 - 34*p**2 + 159*p**2 + 46*p + 100*p**2 + 27 + 89*p = 0. What is p?
-3/5
Let c = 340 - 1694/5. Factor 3/5 + 3/5*s**2 - c*s.
3*(s - 1)**2/5
Let 3*o + 3/2*o**2 - 12 = 0. Calculate o.
-4, 2
Let n(k) = k**4 - 3*k**3 + 2*k - 2. Let u(x) = -6*x**4 + 21*x**3 - 15*x + 15. Let a(l) = 15*n(l) + 2*u(l). Solve a(s) = 0 for s.
0, 1
Solve 1/2*h**2 + 3*h + 0 = 0.
-6, 0
Find s, given that -2/3*s**3 + 0*s + 8/3 - 2*s**2 = 0.
-2, 1
Let k(n) be the first derivative of n**4/10 + 9. Factor k(v).
2*v**3/5
Let h(x) = 3*x**3 - 14*x**2 + 5*x + 5. Let k(v) = 3*v**3 - 15*v**2 + 6*v + 6. Let c(r) = 6*h(r) - 5*k(r). Determine n, given that c(n) = 0.
0, 3
Let v = 146 + -1018/7. Solve -2*d**4 + 0*d + v*d**2 - 10/7*d**3 + 0 = 0 for d.
-1, 0, 2/7
Let n(m) be the first derivative of -2/5*m**3 - 3/10*m**2 + 0*m - 3/20*m**4 - 5. Factor n(s).
-3*s*(s + 1)**2/5
Let o(g) be the second derivative of 0 - 1/4*g**5 + 0*g**3 + g + 5/42*g**7 + 1/6*g**4 - 1/15*g**6 + 0*g**2. Let o(s) = 0. What is s?
-1, 0, 2/5, 1
Let m(n) be the second derivative of 15*n**5/4 - 5*n**4/4 - 8*n**3 - 6*n**2 - 12*n. Find w such that m(w) = 0.
-2/5, 1
Let k = 3/233 - 4215/1631. Let t = -47/21 - k. Factor 0 + 1/3*o**2 + 0*o + t*o**4 + 2/3*o**3.
o**2*(o + 1)**2/3
Let l(f) = 5*f**4 - 20*f**3 + 30*f**2 - 15*f + 10. Let r(v) = -5*v**4 + 20*v**3 - 30*v**2 + 14*v - 11. Let x(z) = 6*l(z) + 5*r(z). Factor x(y).
5*(y - 1)**4
Let r be (-12)/(-30) - 6/40. Factor 1/4*y**2 + 0 - r*y**4 + 0*y - 1/4*y**3 + 1/4*y**5.
y**2*(y - 1)**2*(y + 1)/4
Suppose -9*i = -16*i + 84. Suppose -3*k = -14 + 2. Solve 0*m**2 - i*m**5 + 5*m**k - 1/2*m + 15/2*m**3 + 0 = 0 for m.
-1/2, -1/3, 0, 1/4, 1
Let g(t) be the second derivative of 8/45*t**6 - 1/30*t**5 - 1/9*t**4 + 0*t**2 + 0 - t - 5/63*t**7 + 0*t**3. Factor g(y).
-2*y**2*(y - 1)**2*(5*y + 2)/3
Factor 1/8*z + 0 - 1/8*z**3 + 0*z**2.
-z*(z - 1)*(z + 1)/8
Factor 11*v**2 - 4*v**3 - 18*v**2 - 5*v**2 - 4 - 12*v.
-4*(v + 1)**3
Let d = 47/252 - 5/36. Let f(l) be the second derivative of 0 - 1/10*l**5 + 1/45*l**6 - 1/18*l**4 + 0*l**3 + d*l**7 - 2*l + 0*l**2. Let f(m) = 0. Calculate m.
-1, -1/3, 0, 1
Let t(l) = -3*l**2 + 15*l + 72. Let x be t(8). Factor -2*z + x - 5/2*z**3 + 1/2*z**4 + 4*z**2.
z*(z - 2)**2*(z - 1)/2
Factor 1/2 + i + 1/2*i**2.
(i + 1)**2/2
Let c(j) be the second derivative of 2*j + j**2 + 0 - 1/6*j**4 + 1/6*j**3 - 1/20*j**5. Factor c(s).
-(s - 1)*(s + 1)*(s + 2)
Suppose -18*v = -r - 22*v + 14, 4*r = 3*v - 1. Let n(w) be the first derivative of -r - 2/15*w**3 + 2/5*w + 1/5*w**4 - 2/5*w**2. Factor n(x).
2*(x - 1)*(x + 1)*(2*x - 1)/5
Let x(b) = -5*b**3 + 2*b**2 + 6*b. Let h(i) = -9*i**3 + 4*i**2 + 11*i. Let p(v) = -6*h(v) + 11*x(v). Let p(r) = 0. Calculate r.
-2, 0
Let a(v) = v**2 - 59*v + 272. Let y be a(54). Factor -1/4*z**y - 3/4 - z.
-(z + 1)*(z + 3)/4
Let o(q) = -q**3 + 4*q**2 - 4*q. Let t be o(2). Let f(x) be the first derivative of 4 - 2/3*x**3 + 0*x + t*x**2 + 1/2*x**4. Factor f(d).
2*d**2*(d - 1)
Let q(i) be the first derivative of i**4/4 + i**3/3 - 27. Determine r so that q(r) = 0.
-1, 0
Let a = 11 + -9. Suppose 18 = 4*w + a*n, -4*n - n - 7 = -3*w. Solve 2/7*f**5 + 2/7*f + 8/7*f**w + 12/7*f**3 + 8/7*f**2 + 0 = 0.
-1, 0
Let -6*b**2 - 12*b**5 + 14*b**4 + 7*b**3 + 2 + 5*b**3 - 10*b**2 = 0. Calculate b.
-1, -1/3, 1/2, 1
Suppose 4*n = 2*v - 24, -6 = n - 2. Let r = v - 2. Factor -f**2 + f**3 + 4*f**4 + f**2 - r*f**3.
f**3*(4*f - 1)
Let r(f) be the | {
"pile_set_name": "DM Mathematics"
} |
et k be ((-4)/(-10))/(2/20). Suppose 3*q = k*q. Suppose -5*m + q + 20 = 0. List the prime factors of m.
2
Let j(a) = 6*a**2 + 1. Let i be j(1). Let t(m) = -m**3 + 6*m**2 + 11*m - 10. List the prime factors of t(i).
2, 3
Suppose 2*m = -4*d - 22, m = -d - m - 7. Let o = -1 - 0. List the prime factors of (0 + 2)/(o/d).
2, 5
Suppose 0 = 2*a - 5*a. Let o = 4 - a. Suppose 0 = -o*d - 5*y + 20 + 5, -4*d + y = -19. List the prime factors of d.
5
Let w = 19 + -5. What are the prime factors of w?
2, 7
Suppose -5*f = -5*v - 95, -5*f + 90 = 2*v - 6*v. Suppose 3*z - f = 112. What are the prime factors of z?
2, 3, 7
Let h(o) be the first derivative of 1/2*o**4 + 2*o - 2/3*o**3 - 3/2*o**2 - 4. List the prime factors of h(2).
2
Let d = 4 - -3. Suppose -4*m + 135 = d. Suppose 2*x - m = -2*x. What are the prime factors of x?
2
Let q(u) = -u**3 + 5*u**2 - 2*u + 6. Let d be q(5). Let t = d - -4. What are the prime factors of (t/(-2))/2 - -4?
2
Let o = 6 - 16. Let q = -3 - o. What are the prime factors of q?
7
Let r = -19 + -2. Let m = 1 - r. Suppose 4*q - m = 54. List the prime factors of q.
19
Suppose 2 = f, 0 = -4*s + 2*s + 5*f + 540. What are the prime factors of s?
5, 11
Let s(g) = -g**3 + 5*g**2 - 2*g - 3. Let t be s(4). Suppose 0*c + 3*v + 28 = 2*c, 20 = t*v. List the prime factors of c.
2, 5
Suppose 55 = 4*j - 185. Suppose j = -0*s + 3*s. List the prime factors of s.
2, 5
Let f = 33 - 23. Suppose 5*s - f = -4*b, -s + 18 = -4*b + 8*b. Suppose 3*t + 4*x - 17 = -x, b*x + 37 = 3*t. List the prime factors of t.
3
Let t = -5 - -35. List the prime factors of t.
2, 3, 5
Let g be 66/10 + (-9)/15. Suppose -30 = 3*k - g. Let s = k - -13. What are the prime factors of s?
5
Suppose -5*s = 5*i - 4 - 31, 0 = -4*i + 5*s - 17. Suppose i*r + r - 61 = p, 5*r - 95 = -5*p. What are the prime factors of r?
2, 5
Let d = -6 + 16. List the prime factors of d.
2, 5
Suppose 0 = z - 3*z - 4*j + 32, 59 = 2*z - 5*j. What are the prime factors of z?
2, 11
Suppose 9 + 21 = 3*g. List the prime factors of g.
2, 5
Let c be (((-15)/3)/1)/(-1). Suppose -c*m = -68 - 102. List the prime factors of m.
2, 17
Let j = 34 + -16. List the prime factors of (-1 + 0)*-2 + j.
2, 5
Let h = -22 - -38. Suppose 0*c + c - 14 = 4*a, 3*a + h = c. Suppose -c = -5*k - 2. What are the prime factors of k?
2
Let w(r) = r**3 + 12*r**2 + 11*r + 3. Let m be w(-11). Suppose 0 = 2*v + 6*u - m*u - 53, -u + 47 = 2*v. List the prime factors of v.
2, 11
Let j(f) = f**2 - 5*f + 1. Let k be j(5). Suppose -2*p - 3*t = 3*p - 23, -1 = p + 2*t. Let q = p + k. What are the prime factors of q?
2
Let n(f) = -f**3 - f**2 - f - 1. Let m(c) = 6*c**3 - 3. Let l(y) = m(y) + 5*n(y). Let q be l(7). Suppose -4*i + q = i. List the prime factors of i.
11
Let g(o) = 3*o - 1. Let f be g(2). Suppose f - 65 = -5*b. List the prime factors of b.
2, 3
Let s(g) = -249*g**3 - 3*g**2 - g + 1. What are the prime factors of s(-1)?
2, 31
Suppose x + 2 = 0, 4*x - 1 + 9 = -2*y. Let t(k) = -5*k. Let w be t(-1). Suppose 2*n = -w*b - y*n + 66, 2*b + n = 27. List the prime factors of b.
2, 3
Let a = 452 - 248. What are the prime factors of a?
2, 3, 17
Suppose 4 = -3*g + 16. Suppose -a = 2, -g*t - 3*a + 48 = -a. What are the prime factors of t?
13
Let v = 182 + 15. What are the prime factors of v?
197
Let x(o) = o**3 + 9*o**2 - o - 12. Let n be x(-9). Let y(c) = -c + 1 + 4 - 4. What are the prime factors of y(n)?
2
Let l = -42 - -122. List the prime factors of l.
2, 5
Suppose 224 = 10*n - 996. List the prime factors of n.
2, 61
List the prime factors of 2/12 + (-6685)/(-30) + -2.
13, 17
Let l = 15 - 10. Let v be ((-12)/10)/(l/150). List the prime factors of 1*4*v/(-16).
3
List the prime factors of 39 - (4 + -1 + -3).
3, 13
Let a = 26 + -17. List the prime factors of a.
3
Let r(f) be the second derivative of 0 + f + 1/2*f**3 + 1/4*f**4 + 1/2*f**2. What are the prime factors of r(-2)?
7
Let j = -5 + 9. Suppose 0 = -5*d - x - 2 + 12, 3*x = 2*d - j. Suppose 2*q - 7*q + 43 = 3*s, -d*q = 2*s - 18. What are the prime factors of q?
2
Let x(b) = 141*b**2 + 3*b - 4. List the prime factors of x(1).
2, 5, 7
Let x(m) = m**3 - 5*m**2 + 2*m - 5. Suppose 5 = r - 0*r. Let b be x(r). Let v = b - -6. What are the prime factors of v?
11
Let n = -65 + 15. What are the prime factors of ((-180)/n)/((-6)/(-20))?
2, 3
Let r(f) = -f**3 - 10*f**2 - 13*f - 13. Let k be r(-10). Let y = -61 + k. List the prime factors of y.
2, 7
Let c(s) = -s**3 - 7*s**2 + 8*s - 6. What are the prime factors of c(-10)?
2, 107
Let w = 33 + -12. What are the prime factors of (-3 + w)/(6/8)?
2, 3
Suppose -2*j + 78 = 4*v - 56, 4*j - 298 = 2*v. What are the prime factors of j?
73
Let g(d) = 3 + 10*d + 6 - 7*d. What are the prime factors of g(16)?
3, 19
List the prime factors of 1*(12 + 4 + -1).
3, 5
Suppose w - 116 = 5*l, 5*l - 2*l + 549 = 4*w. What are the prime factors of w?
3, 47
Let d(l) = l**3 - 3*l**2 + 3*l. Let o be d(2). Suppose 0 - o = -2*t. Suppose -5*p - 4 = -2*c + t, 3*c - 24 = 2*p. What are the prime factors of c?
2, 5
Let o = -11 + 8. Let s be (0 - -5)*2/(-5). List the prime factors of 46/6 - s/o.
7
Suppose 0*z - 5*f = -5*z, 0 = -5*f + 10. Suppose -2*d + 6*d - 109 = -5*g, -2*g - 50 = -z*d. List the prime factors of d.
2, 13
Let w be 3/(-9) + (-68)/(-6). Suppose y + w = 2*y. What are the prime factors of -1 + y + (-5)/(-5)?
11
Let j(v) = 3*v**2 - 17*v + 20. Let b(y) = -y**2 + 6*y - 7. Let u(o) = 17*b(o) + 6*j(o). Suppose -1 + 13 = 4*t. What are the prime factors of u(t)?
2, 5
Let l(m) = 64*m**2 + 2*m + 3. Let c be l(3). List the prime factors of c/36 + (-6)/(-8).
17
Suppose -2*m - 23 - 1 = -2*w, -2*m - 17 = -w. Let h(r) = -r**2 + 11*r - 7. List the prime factors of h(w).
3, 7
Let g(f) = 5 + 0*f - 3 + 3*f. Let z(u) = -u - 1. Let h(v) = g(v) + 2*z(v). What are the prime factors of h(6)?
2, 3
List the prime factors of ((-13)/5)/((-4)/40).
2, 13
Let q be 20 + 1 + -7 + 4. Suppose 0 = 3*s - 2*f - 105, -4*s + 7*s + 2*f - 105 = 0. Let o = s - q. What are the prime factors of o?
17
Suppose -3*z + 118 = l, -3*l + 134 = 4*z - 30. What are the prime factors of z?
2, 19
What are the prime factors of ((-30)/25)/((-2)/10)?
2, 3
Suppose -i = i. Suppose 0*s + 2*s = 0. Suppose i = 4*u - s*u - 40. List the prime factors of u.
2, 5
Suppose -6*j + 3*j - o = -10, -5*o + 11 = 2*j. Suppose 11 = t - j. What are the prime factors of t?
2, 7
Suppose -3*y - 8 = y. List the prime factors of (2 - 18)/y - 1.
7
Let t = -2 + 1. Let a(o) = 6*o**2 + 2*o + 1. Let b be a(t). Suppose -2*c = -0*c - b*l - 24, 4*l + 20 = 2*c. What are the prime factors of c?
2
Let h(n) = n**2 + n + 1. Let s(y) = y. Let l be s(3). List the prime factors of h(l).
13
Suppose 4*i = -2*h + 34, 6 + 4 = 5*i. Let p = h + -8. List the prime factors of p.
5
Let x be ((-160)/(-3))/(4/12). Suppose 5*v - 350 = 5*a, -2*v + x = -2*a + 4*a. Suppose i - v = -4*i. List the prime factors of i.
3, 5
Suppose 0*z - 4*z = 0. Suppose x + 2*x + 15 = z. Let a(l) = -l + 7. What are the prime factors of a(x)?
2, 3
Suppose -23 + 79 = 2*r. List the prime factors of r.
2, 7
List the prime factors of (184/115)/(4/70).
2, 7
Suppose 10*f - 649 = 951. List the prime factors of f.
2, 5
Suppose 30 = 3*u - 21. Let a = u + -10. What are the prime factors of a?
7
Let h be 4 + (10/(-2) - -2). List the prime factors of 1 - (-11 - (-2 - h)).
3
Let a(i) = -i**3 + 4*i**2 - 5. Let d(p) = p + 1. Let n(u) = a(u) + 5*d(u). Let v = -153 - -157. List the prime factors of n(v).
2, 5
Suppose 192 + 3 = 5*g. Let t = -22 + g. What are the prime factors of t?
17
What are the prime factors of 8 + -11 - 1*-79?
2, 19
Let n(y) = 3*y + 16. What are the prime factors of n(9)?
43
Suppose -v + y = 3*v - 13, -25 = -5*v + 3*y. Let a(n) = 10*n - 3. What are the prime factors of a(v)?
17
Let l(o) = 7*o - 2. Let t be l(1). Suppose -4*g - 4*h - 7 = -43, -g + t = -h. List the prime factors of g.
7
Let u(f) = f**2 - 4*f + 2. Let d be u(5). Let x = -3 + d. Suppose -5*r = 4*c - 13 - 71, -r = -x*c - 12. List the prime factors of r.
2
Let w(p) = -2 + 5 + 4 + p. Let g be w(0). Suppose g = 3*m + 1. List the prime factors of m.
2
Let f = -20 + -4. Let t(m) = m**2 + 5. Let y be t(6). Let v = f + y. List the prime factors of v.
17
What are the prime factors of 9/((-36)/(-8))*28?
2, 7
Let x(l) = 12 - 11 - 11 - 6*l. What are the prime f | {
"pile_set_name": "DM Mathematics"
} |
c) -0.38 (d) -2/3 (e) 3
a
Which is the second biggest value? (a) 490 (b) 2 (c) 19
c
Which is the third smallest value? (a) 8 (b) 4/9 (c) 5.1 (d) -0.15 (e) -10/7
b
What is the fourth smallest value in 0, -2/53, -0.5, 4, 10?
4
What is the second smallest value in 1.1, -12, 2/5, 0.05?
0.05
Which is the second smallest value? (a) -792 (b) -1/9 (c) -32
c
Which is the smallest value? (a) -2/17 (b) -2/9 (c) 6/23 (d) 0.5 (e) 1/29
b
What is the fifth smallest value in -0.03, -5, -1/2, 5, -16/37?
5
What is the fifth smallest value in -0.2, -0.4, -1/45156, 0.2, 0.4?
0.4
Which is the second smallest value? (a) 4 (b) 0.2 (c) -5 (d) 0.1 (e) 894 (f) 36
d
Which is the fourth biggest value? (a) 2 (b) -1 (c) -20 (d) -104
d
Which is the third smallest value? (a) 2 (b) 0 (c) -1/2939
a
What is the second biggest value in 332, -1/4, -25, -0.2, -0.3, 4/7?
4/7
Which is the second biggest value? (a) 1/80 (b) -5 (c) -57.3
b
Which is the third smallest value? (a) -0.6 (b) -4 (c) -2 (d) -464 (e) -0.3
c
Which is the biggest value? (a) 0.248 (b) 5 (c) -4 (d) 0.3 (e) 0.5
b
Which is the fifth smallest value? (a) -3 (b) 0.5 (c) -1/6 (d) -12/7 (e) 747 (f) -0.2
b
Which is the sixth smallest value? (a) 0.4 (b) 1.5 (c) -13 (d) 0.5 (e) 0.3 (f) -5
b
Which is the biggest value? (a) -0.04 (b) -0.11 (c) 0.3 (d) 0 (e) 37
e
Which is the second smallest value? (a) -0.3 (b) -2/9 (c) 6.5 (d) 4
b
Which is the sixth biggest value? (a) -3 (b) 4/7 (c) -4 (d) 0.06 (e) -690 (f) 0.2
e
Which is the biggest value? (a) 2/11 (b) 0.33 (c) -6/17
b
Which is the smallest value? (a) 75079 (b) -1.4 (c) -2/3
b
Which is the third smallest value? (a) 1 (b) 533 (c) -2/3
b
Which is the smallest value? (a) 3/7 (b) 1 (c) -4 (d) -0.019
c
Which is the second biggest value? (a) -3.8 (b) -7 (c) 4 (d) 0.3 (e) 12 (f) -0.1
c
What is the fifth smallest value in -2, 3, 17, -3, -2/15, 6?
6
What is the fourth smallest value in 0.1, -11/64, -2, -1/4?
0.1
Which is the third smallest value? (a) -23/9 (b) 2 (c) -3/2 (d) 3/4
d
Which is the biggest value? (a) 16.22 (b) -1856 (c) -2
a
What is the third smallest value in 176.43, -2, 2, 4?
4
What is the fourth biggest value in 4, 0, -1, 3/467, -2?
-1
Which is the third smallest value? (a) -1/7 (b) -282 (c) -4 (d) 376
a
What is the fourth biggest value in -1/36, -0.2, -19, 0?
-19
Which is the second biggest value? (a) 0 (b) -2/39 (c) -49/2 (d) 6
a
What is the third smallest value in -5, -24, -6, -0.15, 3/2, 4?
-5
What is the third biggest value in 0.01, 3/5, 153?
0.01
What is the second smallest value in -4, -0.05, -0.4, -22/3, -51?
-22/3
Which is the biggest value? (a) -870 (b) 1/50 (c) 0.04
c
Which is the second biggest value? (a) 0 (b) -6/5 (c) 16
a
Which is the smallest value? (a) 1036/3 (b) -26 (c) 3
b
What is the second smallest value in 0, -2, -2/11, -97.5, -2/7, 2/5?
-2
Which is the second smallest value? (a) -7 (b) -2/7 (c) 0.09 (d) 57 (e) 4
b
What is the sixth smallest value in -1, 0.2, 1480.3, 2/25, 5/6, 1/3?
1480.3
Which is the biggest value? (a) -0.09 (b) -9/11 (c) 24
c
Which is the third biggest value? (a) 2/59 (b) -0.2 (c) 3 (d) 13.6
a
Which is the second smallest value? (a) -2/7 (b) 0.3 (c) 57 (d) -2/3 (e) -8 (f) 0
d
Which is the fourth smallest value? (a) 4506 (b) -0.1 (c) -2.1 (d) 2 (e) 0.5
d
Which is the biggest value? (a) 4 (b) -39 (c) 1124 (d) 0.03
c
What is the fourth smallest value in 0.5, -0.3, 17676/43, 0.4?
17676/43
What is the sixth biggest value in -1/4, -0.5, -1, 2, -4, -1/8958?
-4
Which is the third biggest value? (a) 0.164 (b) 3 (c) 5 (d) 0.4
d
What is the biggest value in 0.2, 5, -4/15, -1/15?
5
What is the third smallest value in 1/14, 0.05, 2/7, -100?
1/14
What is the fifth smallest value in -12/17, -3/2, -2/5, 25, -2?
25
Which is the third biggest value? (a) -3/2 (b) -3 (c) -13 (d) 0.3 (e) -4 (f) 87
a
What is the third smallest value in 2/259, 0.1, 29, 2?
2
What is the second smallest value in 1318, 5, 1, -4/3?
1
What is the smallest value in 1/5, 770, 7/19?
1/5
Which is the second smallest value? (a) -3 (b) -1042 (c) 5 (d) 1/4 (e) -1/3 (f) -3/7
a
Which is the smallest value? (a) 3 (b) 82/19 (c) 2/11 (d) -2/7
d
What is the fourth smallest value in 2/5, 5, -14, 0.1, -2/7, -7?
0.1
What is the smallest value in -1.14, 4, -0.2, 5, -0.4?
-1.14
What is the second biggest value in -4, 0.1, -29, -0.1, -2?
-0.1
What is the third smallest value in 10, -1/17, 33?
33
Which is the smallest value? (a) 3 (b) 0.3 (c) -5 (d) -3 (e) -2/7 (f) 66410
c
Which is the fourth biggest value? (a) 0 (b) -0.3 (c) 4 (d) -3 (e) 3/10 (f) 2/5
a
What is the fourth biggest value in -3, -3.1, -0.5, -18, -128?
-18
What is the fourth biggest value in -4, 0.05, 2/19, 4/5, 2, -14?
0.05
What is the biggest value in -93, 0.1, -1/4, -156?
0.1
Which is the sixth biggest value? (a) 5 (b) 0 (c) -18/185 (d) 2/3 (e) 0.5 (f) 7
c
Which is the fifth smallest value? (a) -2 (b) 5 (c) -4 (d) 70/29 (e) 4 (f) -0.4
e
Which is the smallest value? (a) 6/13 (b) -3 (c) 5 (d) 2/7 (e) -12
e
What is the second biggest value in -3, 3445/7, -3/4, -1?
-3/4
What is the biggest value in 4, 22, 0.11, -2/5, -6/11?
22
What is the second smallest value in -2, -4, 3/47, -60?
-4
What is the biggest value in 533, 4, -0.2, 4/9?
533
What is the fourth smallest value in 2.2, -3108, 1, -4?
2.2
Which is the second smallest value? (a) 19/7 (b) -27 (c) 2/3 (d) 2 (e) 2/7 (f) -3/2
f
What is the biggest value in -0.001, 0, -4, 0.2, 207/5, -0.5?
207/5
Which is the second biggest value? (a) 9 (b) -13 (c) 1 (d) 0.15
c
Which is the fifth smallest value? (a) -1/5 (b) 1.6746 (c) 4/7 (d) -4 (e) 5
e
Which is the smallest value? (a) -5 (b) -2/3 (c) 1 (d) 129.9 (e) 1/4 (f) 0.6
a
What is the second smallest value in 108, 3, 0.5, -47, -2/5?
-2/5
What is the biggest value in 34/11, 1.652, 0.1, -5?
34/11
What is the second biggest value in -9, -2/3, 0.1, 0.5, -0.4, -5?
0.1
What is the fourth biggest value in -0.61, -38/537, 2/13, 2/3?
-0.61
What is the second biggest value in -2, 0.22, 0.112, 17?
0.22
What is the third smallest value in -3.19, 1, -0.2, -3/4?
-0.2
What is the fourth biggest value in 0.05, -23.7, -3.8, 4?
-23.7
Which is the smallest value? (a) -1/6 (b) -2/33 (c) 2
a
Which is the fourth biggest value? (a) 22 (b) 27 (c) -0.09 (d) -0.3
d
Which is the second smallest value? (a) 3 (b) -1/20 (c) -12.4
b
Which is the third biggest value? (a) -22.26 (b) -0.03 (c) 101
a
What is the second smallest value in 2, 6.3, -0.4, -5/54?
-5/54
What is the third smallest value in -1/12, -39, 8, 5?
5
What is the second biggest value in -1.1, 1/2, -4, -661?
-1.1
What is the second biggest value in 1458/13, -4, -31?
-4
Which is the fifth smallest value? (a) 0.04 (b) 1/3 (c) 1 (d) -2/21 (e) 4/57
c
What is the second biggest value in -0.064, 2, 0?
0
Which is the smallest value? (a) -0.4 (b) 20 (c) 4 (d) -117
d
What is the second biggest value in -3.406, 4, 3, 2/7?
3
What is the second smallest value in -0.2, 0.02672, -60?
-0.2
What is the biggest value in -4, 16.8491, -0.2?
16.8491
What is the biggest value in -4/13, 0.9, -50, 4?
4
What is the fourth smallest value in -1, -3/7, 4/3, 0.5, -137/2, 6?
0.5
Which is the second smallest value? (a) -28 (b) -290 (c) -6
a
What is the biggest value in -0.5, -3, -0.08, 187?
187
What is the smallest value in -0.5, 2.63, 196?
-0.5
Which is the second biggest value? (a) 2/5 (b) 1/4 (c) 0 (d) -0.1 (e) -0.3 (f) 73
a
Which is the second smallest value? (a) 3 (b) -0.01308 (c) 2 (d) 2/13
d
What is the fourth smallest value in -1/7, -1, 2/23, 1, 2/15?
2/15
What is the second smallest value in 0.3, -2, 69095, -2.1?
-2
Which is the second biggest value? (a) -0.04 (b) 0 (c) -0.037 (d) 30/181
b
What is the third smallest value in 5, 1/6, 0.3, -341/3?
0.3
Which is the second biggest value? (a) -0.2 (b) 3/5 (c) -2 (d) 304.7 (e) 1.1
e
What is the smallest value in -167, -2, 7239?
-167
Which is the second smallest value? (a) 3 (b) -111 (c) -24
c
Which is the biggest value? (a) -1807 (b) 0.5 (c) 0.13 (d) -5
b
What is the second smallest value in -1/2, 15, 1052.6?
15
Which is | {
"pile_set_name": "DM Mathematics"
} |
t t = v - 388.92. What is the second biggest value in 0.06, 0, -4, t?
0.06
Let x = -111.4 + 111. Let i = 5.6 - 8.3. Let l = 3.1 + i. What is the fourth smallest value in 13, 3, x, l?
13
Let f(h) = 26*h + 75. Let i be f(-3). Let v = -0.1 + -0.1. What is the third smallest value in i, v, -5?
v
Let x = -0.46 + -1.54. Let l = 101.867 + 0.133. Let p = l + -102.1. Which is the second smallest value? (a) p (b) x (c) -2/13
c
Let d = 1586 + -1586. Let h = -0.69 - -0.7. Let k = h + 0.99. What is the smallest value in k, -3/4, d?
-3/4
Let g = -241/2 + 117. Let d = -9241/7 - -1320. What is the smallest value in g, 0.3, d?
g
Let i be (-2)/1 + (-96)/(-46). Suppose 4*m - 4*q + 699 + 113 = 0, m + 207 = 5*q. Let k = m - -1007/5. What is the second biggest value in k, i, -1?
k
Suppose -10*r - 12 = -2. Let w be 8/r*8/(-32)*2. Suppose 0 = -w*d + 5*o - 17, -4*d = -d + 2*o + 7. What is the fourth smallest value in 3, 4, -1.9, d?
4
Let t = 0.7497 - 0.5497. What is the fourth smallest value in -5, 0, -9/2, t, -1?
0
Let o be (-64)/(-4) + (-6)/(12/10). Suppose -o = 16*s - 5*s. What is the fourth smallest value in 3, s, -3, 0?
3
Suppose -5*m + 276 = -0*l + l, -4 = -4*l. Which is the biggest value? (a) 1/4 (b) 1/2 (c) m (d) 0.2
c
Let s = 1306 - 1205. Which is the second biggest value? (a) -3 (b) s (c) -1
c
Let y = -36/7 - -95/28. Let z = 242 - 244. Let h = y - z. Which is the fourth biggest value? (a) 4 (b) h (c) -9 (d) 0.1
c
Let b = 17/4 + -81/20. Let x = -33.152 + 32.152. What is the second smallest value in -0.8, b, -2/17, x?
-0.8
Let p = -15.9 - 56.1. Let d = -15 + p. Let k = d - -86.93. Which is the third smallest value? (a) -3 (b) -1/2 (c) k
c
Let k = -0.276 + 31.476. Let g = -0.2 + k. Let q = 31.8 - g. Which is the third biggest value? (a) 0 (b) -3/4 (c) q
b
Let x = 8678 - 8678.02. Which is the third biggest value? (a) -4 (b) -0.5 (c) x (d) -16
a
Let k = 11560 - 11555. What is the third smallest value in k, 0, -11.6?
k
Let a be (-6)/(-4) - (0 + -1)/(-1). Let g be 6/20*(-10)/(-8). What is the third biggest value in g, a, 1.1?
g
Let k be (-10)/546 - (-52)/546. Suppose 4*r - 16 = -p, 5*p - 19 = -r + 4. Which is the third biggest value? (a) 2 (b) k (c) 4/7 (d) p
c
Let n = 68/7 - 10. Let p(u) = u**3 - 45*u**2 + 274*u - 279. Let w be p(38). Which is the smallest value? (a) 3/5 (b) w (c) n
c
Let v(l) = -l**2 - 38*l + 123. Let h be v(-41). Which is the biggest value? (a) h (b) -26 (c) -9 (d) -2
a
Let f = -2796/11 + 254. Suppose 19*m = 21*m. Suppose -6*n - 8 + 92 = m. What is the second smallest value in f, 2/11, n?
2/11
Let m = 0.861 + -4.861. What is the second biggest value in 0.0501, 5, m?
0.0501
Let a be 1/((-19)/(-38)*40/2). What is the third biggest value in 18, a, -4/9, 0.4, 9?
0.4
Let h = 2.3 + -0.3. Let z be 46*7/42 + -10 + 2. Which is the second biggest value? (a) h (b) z (c) 1
c
Let r = -1.034 - 3.966. What is the fourth biggest value in -2, r, 2, 0.2, -15?
r
Let u be ((-6)/(-8))/((-100)/16). Let l = u - -46/175. Let k = -12/35 + l. What is the biggest value in 0.03, k, -1?
0.03
Let h = -6.00787 + 0.00787. What is the biggest value in h, 3, 0.5, 1/48?
3
Suppose -3*g + 56 = -2*c, 8*g - 4 = 9*g + 5*c. Let r be (-2)/(-29)*g - (-30)/(-30). What is the third smallest value in r, 4, 2?
4
Let p = -3.05 - -14.1. Let l = p - 11. What is the smallest value in l, -0.5, 3?
-0.5
Suppose 77*i = 71*i + 1200. Let x = 599/3 - i. Which is the biggest value? (a) 2 (b) x (c) -1 (d) 5
d
Let u be (-17)/(3689/1488) - 6/(-1). Which is the fourth biggest value? (a) -1/11 (b) u (c) 0.4 (d) 2/15 (e) -8
b
Suppose 5*q - 9 = -o, -2*o + 1 + 3 = 3*q. Let y = 7.5 + -1.5. Let z = -40165 - -40170. Which is the third smallest value? (a) y (b) z (c) q
a
Let v = -4169 + 4169.1. Which is the fourth smallest value? (a) -3 (b) -3/4 (c) -10 (d) v (e) 0
e
Let i = -6179 + 6179.1. Which is the fourth smallest value? (a) 4 (b) 1/4 (c) i (d) -4
a
Let h = 665 - 994. Let o = h + 332. Which is the third biggest value? (a) o (b) 1/2 (c) 1 (d) -0.13
b
Let z be 10636/(-10)*(-4)/8. Let y = -530 + z. What is the third smallest value in 5, y, 3?
5
Suppose -4*p + 4 = -0*p. Let m = 2618 + -2620. Which is the third biggest value? (a) 1/4 (b) m (c) p
b
Suppose 0 = -5180*p + 5183*p - 15. Which is the fourth biggest value? (a) 3 (b) 2/101 (c) p (d) -4
d
Suppose -21422*i = 4*o - 21424*i - 4, -3*o - 4*i + 47 = 0. Let l = 1.6 + 74.4. What is the third smallest value in -0.3, o, l?
l
Let p = -85632/7 + 12234. Which is the smallest value? (a) -3/7 (b) -0.14 (c) p
a
Suppose -w = -417*o + 418*o - 6, 0 = -3*w + 18. Which is the smallest value? (a) 0.2 (b) -24 (c) o (d) 2/5 (e) 1/3
b
Let a = 73 - 2. Let s = 87 - a. What is the second biggest value in s, 2, -4?
2
Let g = -2.07 - -0.07. Let x be (20/(-16)*(-3)/30)/1. What is the second smallest value in g, x, 0.4, 5?
x
Let j = -0.0206 - 384.9794. Let n = j - -385.5. Let f = 0.25 + -0.3. What is the smallest value in 0.3, -3, n, f?
-3
Let g = 2407.4 + -2407. What is the second biggest value in g, 0.01, 0, -6/13?
0.01
Let f = 28130 + -309436/11. What is the second smallest value in 37/4, -3, 2/3, f?
f
Let o = -1312 - -1312. Let q = 230.1 + -245. Which is the third smallest value? (a) o (b) 5 (c) 2/3 (d) q
c
Let m = -34119/2 + 17061. Which is the smallest value? (a) -0.2 (b) -24/11 (c) m (d) 0.1 (e) 3
b
Let l = 127.9844 - 128. Let r = l + 7.0156. Which is the third biggest value? (a) -0.2 (b) 3 (c) r (d) 2/5
d
Let r = -1.7222 + 0.1222. Let i be -7 - -1 - (-1 - 2). What is the third smallest value in i, r, 3/5?
3/5
Let g = 625/9 - 613/9. What is the third smallest value in -25, 6/11, 2/15, g?
6/11
Let g = 0.8 + -0.4. Let n = -1568/131 + 48870/4061. Let s = -3 - 0. What is the smallest value in g, -2, n, s?
s
Let g = -77731 - -77728. Let y = 0 - -3. Let s = -2.7 + y. Which is the third biggest value? (a) 1 (b) g (c) 4 (d) s
d
Let i = 23724.5 - 23724. Which is the fourth smallest value? (a) -4/9 (b) 3/11 (c) i (d) -6 (e) 0
b
Let q = -6678.8 + 6679. What is the biggest value in 8, -16, -1, q?
8
Let l = 6317/15 + -421. What is the smallest value in -37.4, 0.5, l?
-37.4
Let l(n) = -9*n - 7. Let b be l(-5). Let d be 0 - -2 - b/18. Let u = 11275 - 11280. What is the second smallest value in 0.3, u, d?
d
Let v = 1324.6 + -1315. Let o = -27 + 29. Which is the smallest value? (a) 1 (b) o (c) v
a
Let y = 230 - 925/4. Let l = -185.2 - -26.2. Let u = l - -158.6. Which is the third smallest value? (a) y (b) 1 (c) u
b
Let q = 2.38 - 0.38. Suppose 1462*m - 66 = 1455*m - 10. Which is the third smallest value? (a) -8 (b) m (c) q
b
Let t = 48/161 - 2/161. Let v(m) = m**3 - 5*m**2 + 7*m - 1. Let p be v(4). What is the third biggest value in p, t, 3?
t
Let b = 375 + -1877/5. Let f be (88/198)/(44/18). What is the third biggest value in 5/6, b, -5, f?
b
Let v = -6793 - -6797. What is the third biggest value in 38/51, v, 3?
38/51
Let u = 27213 + -27219. What is the second smallest value in -3, -0.186, u, -1?
-3
Suppose -5*w = s + 482, 4*s - 2*s = 5*w - 994. Let t = s - -5410/11. Which is the third biggest value? (a) 5 (b) t (c) -61
c
Let p = 3.7 - 4. Let a = 3.849 + -4.549. Let b = a - p. What is the third smallest value in b, -1/7, 1?
1
Let g = -14.3 - -92.9. Let q = g - 78. Let t = -0.4 - q. Which is the smallest value? (a) -8 (b) t (c) -0.1
a
Let o = -8520 - -8510. Let l = -18 - -5. Let w = o - l. Which is the smallest value? (a) w (b) 1/2 (c) 0.05 (d) -2/21
d
Let v = 401 + -406. Which is the third smallest value? (a) 23 (b) v (c) -11 (d) -2/11
d
Let d = 175 + -368. Let i = d - -192.7. Which is the third biggest value? (a) 2/43 (b) i (c) 1/7
b
Let h = -0.03 + 0.03. Suppose 46*p + 408 = 38*p. Let l be 8/(-12)*(9/p)/(-1). Which is the second biggest value? (a) h (b) -16 (c) l
c
Let v = 159.18 + -161. Let h = v + 1.32. What is the biggest value in -0.123, h, 1/2?
1/2
Let u = 1557 + -1560. What is the biggest value in u, 0.4, 9, 3/5, 0?
9
Let p = 3 - 6. Let m = 332 - 350. Let h be (2 - (-46)/m)/(5/(-6)). Which is the second biggest value? (a) h (b) -20 (c) p (d) -0.2
d
Suppose 385 - 368 = 17*o. Which is the biggest value? (a) o (b) 20.26 (c) 4
b
Let j = -0.299 - -0.157. L | {
"pile_set_name": "DM Mathematics"
} |
1098098
220966*-119
-26294954
What is the product of 18028049 and 0.4?
7211219.6
-3032422 times 8
-24259376
Product of -4 and 10371481.
-41485924
What is 96566172 times 0.2?
19313234.4
Multiply -0.1 and -468278.8.
46827.88
Calculate -816648*-48.
39199104
0*-36946.4
0
7 * -9827311
-68791177
Work out -7016323 * 0.4.
-2806529.2
Calculate -442277*-365.
161431105
What is -0.2268 times 0.3019?
-0.06847092
Multiply -9.26911 and -0.18.
1.6684398
What is the product of 7271438 and 3?
21814314
What is -0.2 times -0.032604751?
0.0065209502
What is -30.533332 times 0?
0
Multiply 3218.458 and -8.
-25747.664
Calculate 51602536.7*-0.3.
-15480761.01
Work out -36512 * -0.06254.
2283.46048
Calculate -2694298.79*0.2.
-538859.758
What is -0.1 times 1319163?
-131916.3
Calculate 4259.8*0.075.
319.485
What is -1116 times 1.88108?
-2099.28528
149.3 times -34772
-5191459.6
What is 2.785675 times 6?
16.71405
Product of 4 and 20976468.
83905872
Product of -196364001 and -0.5.
98182000.5
-8.8405 times -25
221.0125
156 * -2685.3
-418906.8
What is the product of -7.37 and -0.026935?
0.19851095
Calculate -9090.8*369.
-3354505.2
Calculate 21151*-0.8529.
-18039.6879
What is the product of 0.0070993 and -5?
-0.0354965
What is -0.0510808 times -14?
0.7151312
What is 5975 times 0.13232?
790.612
Multiply 388 and 29750.
11543000
What is the product of 0.273962 and -79?
-21.642998
Multiply 24535 and 0.0358.
878.353
124569173 times 0.3
37370751.9
Multiply -95 and 2693627.
-255894565
What is -4028291.7 times 10?
-40282917
Work out 6996 * -86.6.
-605853.6
-16463*6822
-112310586
What is the product of 13 and -53047074?
-689611962
What is the product of 12.53166 and 0.089?
1.11531774
Product of 28799 and -203.
-5846197
-1356 * -13174
17863944
Calculate 0.6*-1206888.
-724132.8
-88 * -0.27463
24.16744
-8.07 times 37.5039
-302.656473
0.0512*0.5174
0.02649088
Product of -7 and 0.092588.
-0.648116
5572564.9 times 3
16717694.7
What is -0.3 times -957.594?
287.2782
Multiply -45.14161 and -5.
225.70805
Work out -5928 * -591.
3503448
What is the product of 701473 and -0.05?
-35073.65
Multiply -15697490 and -4.
62789960
-901 times 46.59
-41977.59
-11676 times 1485
-17338860
376183354 * -0.4
-150473341.6
-10881.28 * 21
-228506.88
Work out 0.46 * 22084.6.
10158.916
-3 * 5489257
-16467771
Multiply -1234666 and -0.5.
617333
21370 * -30768
-657512160
7060866 * 6
42365196
What is -49.8 times -15547.75?
774277.95
0.5876*-323
-189.7948
Calculate -288175207*-0.3.
86452562.1
Product of 3328 and 727.5.
2421120
-0.16*-3.095383
0.49526128
0.1872191*0.26
0.048676966
-180*-165190
29734200
Work out 244235.96 * -12.
-2930831.52
Calculate -188.4*-158384.
29839545.6
Multiply -0.411 and -728219.
299298.009
What is the product of 0.1 and 9312921?
931292.1
What is the product of 13317058 and -0.05?
-665852.9
Work out 705989751 * -3.
-2117969253
Work out -8217520 * 8.
-65740160
What is 3 times -49176.461?
-147529.383
Multiply -8695.2 and -64.
556492.8
Calculate -59*1337.23.
-78896.57
9 * -573.23
-5159.07
Product of 53112 and 693.
36806616
Work out -2467 * -2.281.
5627.227
Product of 100 and -12164.
-1216400
11.338751*-108
-1224.585108
2018857*-0.1
-201885.7
Calculate 243497522*3.
730492566
Product of 454.8 and 14.11.
6417.228
278.639*3
835.917
Work out 203 * 68158.
13836074
1.33 * 8107
10782.31
-152044345 times -0.3
45613303.5
3969843 * -0.04
-158793.72
17 * -0.133412
-2.268004
Work out 377 * -80766.
-30448782
Product of -86238459 and -3.
258715377
Multiply 52767059 and 3.
158301177
Calculate -14*0.2115162.
-2.9612268
-230 times 8580
-1973400
2580498*0.6
1548298.8
Product of 402233 and 154.
61943882
What is 970.73861 times 3?
2912.21583
Multiply -0.65061768 and 0.2.
-0.130123536
-42032*8299
-348823568
Product of 0.1 and -13898436.
-1389843.6
957*1.204
1152.228
Work out 4.4715 * 0.0477.
0.21329055
What is the product of 4 and 0.77636?
3.10544
What is -3 times -119006500?
357019500
0.4 times 876.49237
350.596948
-0.2546 times 816
-207.7536
-153761.18*-0.4
61504.472
Product of 9956369 and 0.2.
1991273.8
Work out 45578 * -1107.
-50454846
What is 2 times -24775.92?
-49551.84
Multiply -141619 and -5.2.
736418.8
Multiply 0.5 and 236.443.
118.2215
What is the product of -1672.920238 and -3?
5018.760714
Work out 0.0852 * -3.5214.
-0.30002328
Work out 0.0764132 * -62.
-4.7376184
What is -0.5 times 5362970?
-2681485
Calculate -7*-162.428.
1136.996
Work out -59784721 * 3.
-179354163
What is -56.0003 times -0.114?
6.3840342
Calculate -632*152.62.
-96455.84
What is 15.61 times -13142?
-205146.62
12494.68 times -0.3
-3748.404
0.26784 * -1219
-326.49696
Calculate 113299*-1.15.
-130293.85
What is -18.146 times -32085?
582214.41
-0.3 * 1.1713017
-0.35139051
Work out 47827981 * 0.
0
0.0416 * 1.6327
0.06792032
Calculate -1248*2.532.
-3159.936
-0.036 times -262.0761
9.4347396
-377770815 times 0
0
-0.1 times -20259488
2025948.8
-6*105.7753
-634.6518
25992 * -2471
-64226232
-2625839*0.018
-47265.102
What is -4314 times 260698?
-1124651172
What is 5563.87 times 231?
1285253.97
Work out -622 * -237040.
147438880
0.26488 * 0.266
0.07045808
What is -1.602 times 8513?
-13637.826
What is -480 times -9.9541?
4777.968
What is the product of 158 and -42189?
-6665862
Work out -53526530 * 0.5.
-26763265
Work out -169.9523 * 15.
-2549.2845
0*44.4847
0
-339298420*-0.5
169649210
Work out -1 * -615867.7.
615867.7
Product of -211.9 and -32274.
6838860.6
Work out -21 * 340769.
-7156149
Calculate -38588501*2.
-77177002
Work out 900954236 * -0.5.
-450477118
Calculate -238000*2573.
-612374000
0.00906 times 9936
90.02016
Product of -7.5 and -2.42652.
18.1989
35.594614 times -3
-106.783842
-49274 * 45.5
-2241967
What is -1 times 10128186.1?
-10128186.1
Product of -914 and -5.0433.
4609.5762
What is the product of -394732861 and 2?
-789465722
Calculate -57*-2.05509.
117.14013
What is the product of 3365 and 9.4711?
31870.2515
What is 5.9791 times -35.8?
-214.05178
Multiply -1517340 and -219.
332297460
What is 1275 times 127822?
162973050
Product of -2 and 2794791.
-5589582
0 * 2960825
0
What is the product of -3 and 0.295949?
-0.887847
365*-108102
-39457230
What is the product of 7 and -5013348?
-35093436
Product of -0.0755627 and 19.7.
-1.48858519
14.918 * -160
-2386.88
What is the product of -201 and -30485?
6127485
Work out 77.7 * 219733.
17073254.1
3565 times -3763
-13415095
Calculate -0.4*466895.1.
-186758.04
-10.75027 * 596
-6407.16092
Product of 1535.135606 and 0.1.
153.5135606
What is the product of 117 and -3428759?
-401164803
-6645 * -12811.5
85132417.5
-2048863 * -0.27
553193.01
Product of -33187 and 3.992.
-132482.504
34851.285 times -3
-104553.855
-37620 times -53.7
2020194
69 times 74749
5157681
Multiply -276 and 42494.
-11728344
-0.04313*-260.2
11.222426
22.283 times 0.0381
0.8489823
Product of -7250 and 618.
-4480500
Calculate -9*-127974.
1151766
394*0.29553
116.43882
Multiply -0.319 and -35417.
11298.023
Work out -527 * -3.39753.
1790.49831
What is the product of 4624639 and -0.4?
-1849855.6
Multiply -0.29 and 22.56384.
-6.5435136
0.18 times 3126312
562736.16
Product of -146 and 21.085.
-3078.41
Calculate 1254809*-54.
-67759686
What is 0.18 times 127169?
22890.42
What is the product of 3.5 and 261820?
916370
What is the product of -5419253 and 2?
-10838506
48.4757 * 0.036
1.7451252
What is -3 times 37550387?
-112651161
0.3 times 3500538
1050161.4
Work out -0.04 * -5295092.8.
211803.712
Product of -0.3133 and -3750.
1174.875
Multiply 2.23 and 106.1429.
236.698667
Work out 11.2 * -35247.
-394766.4
11608865*0.1
1160886.5
What is -236024260 times 3?
-708072780
Multiply 0.1907 and -311681.
-59437.5667
-16.9875276 times -0.1
1.69875276
What is -4599 times 49535?
-227811465
Calculate -15.395*3.777.
-58.146915
What is 2390 times 0.291?
695.49
Product of -513 and 20614.
-10574982
Multiply -2.76564 and 0.41.
-1.1339124
Multiply -24.2 and -27026.
654029.2
Multiply 552 and 0.46275.
255.438
Multiply -25707156.1 and -2.
51414312.2
What is the product of 0.200974658 and 3?
0.602923974
1.971 * 11105
21887.955
1.3 times -1.99321
-2.591173
What is the product of 1590080 and -0.9?
-1431072
-7.45095 * 3
-22.35285
-40.23*-4905
197328.15
-8674*-16467
142834758
Multiply -0.3 and 7.079369.
-2.1238107
What is -0.4 times 12.4367?
-4.97468
What is 3.46235909 times -0.2 | {
"pile_set_name": "DM Mathematics"
} |
*3*q + 11202622*c**2*q**3 wrt c.
730644*q**3 + 624*q
Find the third derivative of -12765061*x**4 - 75859305*x**2.
-306361464*x
Find the second derivative of 76629*a*y**3 - 6*a*y**2 + 6*a*y + 28*a - 9*y**3 - 2245*y - 1 wrt y.
459774*a*y - 12*a - 54*y
Find the second derivative of -6*d**2*s**3 - d**2*s**2 - 16131198*d**2 - 3520*d*s**3 + 537*s**2 + 6*s + 2 wrt d.
-12*s**3 - 2*s**2 - 32262396
Find the second derivative of 76*g**5 + g**4 - 1812*g**2 + 5790880*g wrt g.
1520*g**3 + 12*g**2 - 3624
What is the third derivative of 329*l**3*w**2 - 161164*l**3 + 11*l**2*w**2 - 10195*l**2*w - 2*l**2 - 15*l + 2*w**2 wrt l?
1974*w**2 - 966984
Find the third derivative of 497998814*n**3 + 2*n**2 + 2018233*n + 90 wrt n.
2987992884
What is the third derivative of -2925444*q**4 + 29*q**2 + 20983*q wrt q?
-70210656*q
Find the third derivative of 1061461570*w**3 - 1067362331*w**2 wrt w.
6368769420
What is the first derivative of 550907998*f**2 - 49072062 wrt f?
1101815996*f
What is the third derivative of -259938*a*d**3 + 2*a*d**2 - 431*a*d + 19*d**4 - 3315*d**2 - d wrt d?
-1559628*a + 456*d
What is the third derivative of 664923*g**3 - 117*g**2 - g - 21212?
3989538
Find the first derivative of -8*u**2 - 30994921*u - 269018272.
-16*u - 30994921
Find the second derivative of 5*g**5*m - 1558614*g**2*m - 38738*g*m - 1426*m wrt g.
100*g**3*m - 3117228*m
What is the derivative of 59507513*m**4 - 120639223 wrt m?
238030052*m**3
What is the third derivative of 1210866*g**6 + 3*g**4 - 4*g**3 + 8*g**2 - g + 10487779 wrt g?
145303920*g**3 + 72*g - 24
Find the second derivative of -1308370*c**2*d**3 + 1431724*c*d**3 wrt c.
-2616740*d**3
What is the second derivative of -69*n**2*q**3 - 2*n**2*q - 6911*n**2 - 3*n*q**2 - 10707*n + 8*q**3 wrt n?
-138*q**3 - 4*q - 13822
What is the first derivative of -957*j**2*y - 10581*j**2 - 3*j*y + 116*j - 10*y wrt y?
-957*j**2 - 3*j - 10
What is the second derivative of -680*s**2*z**2 + 10052*s**2 - 29*s*z**2 + 101531*s + 2*z wrt s?
-1360*z**2 + 20104
What is the third derivative of 17*w**4 + 81212*w**3 - 344470*w**2 + 62*w wrt w?
408*w + 487272
Find the second derivative of 83298479*s**2*z**2 - 2*s**2*z + 7*s**2 - 341535*s*z - 4*z wrt z.
166596958*s**2
Differentiate -6752424*d**3*m + d**3 + 9176439*m with respect to d.
-20257272*d**2*m + 3*d**2
Find the third derivative of -835468875*u**6 + 157524417*u**2.
-100256265000*u**3
What is the second derivative of -2938514*k**3 + 1760*k - 2545 wrt k?
-17631084*k
What is the third derivative of 21*k**5 - 87*k**4 - 3560*k**3 + 245595686*k**2 wrt k?
1260*k**2 - 2088*k - 21360
What is the second derivative of -2*b**2*c**2 - 53*b**2*c - 15293*b**2 + 3446*b*c**2 - 10*c**2 wrt c?
-4*b**2 + 6892*b - 20
Find the third derivative of 41499609*m*o*x**3 + 4624507*m*x**2 + 6*o wrt x.
248997654*m*o
What is the derivative of 60035*j**2*m**2 + 3549*j**2*w**2 + 825*m**2*w**2 + 454492*w**2 wrt j?
120070*j*m**2 + 7098*j*w**2
What is the third derivative of 55048025*u**3 + 1360468*u**2 + 16*u?
330288150
Differentiate 187*q**4 + 750540*q**2 - q - 104088885 with respect to q.
748*q**3 + 1501080*q - 1
Find the third derivative of -161392776*x**5 - 976*x**2 + 301 wrt x.
-9683566560*x**2
Find the second derivative of 40986*g**3 + 1302*g**2 - 35563*g + 33.
245916*g + 2604
Differentiate 7880345*p - 1053672 with respect to p.
7880345
What is the second derivative of -n**3 - 327516*n**2 - 136536*n - 25 wrt n?
-6*n - 655032
What is the third derivative of 2709030*m**4 - 6*m**3 + 9*m**2 + 81*m - 2603 wrt m?
65016720*m - 36
Find the first derivative of -17331529*f - 13124161 wrt f.
-17331529
What is the second derivative of -7*t**3 + 204110*t**2*u + 2*t*u - 4929815*t wrt t?
-42*t + 408220*u
Find the second derivative of o*p**2 + 24*o*p + 17225*o - 937720*p**3 + 2*p**2 wrt p.
2*o - 5626320*p + 4
Find the second derivative of -8*g**2*w*y - 6*g**2*w + 31651*g**2*y + g**2 - g*w*y + 2*g*w + 22*g*y - 9*w + 27*y - 1 wrt g.
-16*w*y - 12*w + 63302*y + 2
Find the third derivative of 736*k**3*v**3 + 5*k**3*v**2 - 2*k**3 + k**2*v**3 + 684*k*v**3 - 64942*v**2 wrt v.
4416*k**3 + 6*k**2 + 4104*k
What is the third derivative of -109965775*n**4 + 1268621597*n**2 wrt n?
-2639178600*n
Differentiate 63833673*i + 63284021.
63833673
Differentiate 3*u**2 + 38943852*u + 28343408 with respect to u.
6*u + 38943852
Find the second derivative of -122016*o**3*q**2 + 3238*o**3 - 2656*o*q + 70*q**3 wrt q.
-244032*o**3 + 420*q
What is the third derivative of 248462269*f**4 - 334054666*f**2?
5963094456*f
What is the second derivative of 166*i**5*n**3 + 250*i**2*n**3 + 28*i**2 - 251*i*n**3 + 3*i*n**2 - 2*n**3 + 147*n**2 wrt i?
3320*i**3*n**3 + 500*n**3 + 56
Find the third derivative of -48233220*a**4 + 2*a**2 - a - 2223820.
-1157597280*a
Find the second derivative of -6919*w**4 + 4835*w**2 + 6823233*w wrt w.
-83028*w**2 + 9670
Find the third derivative of -564*b**5*i - 106454*b**3*i + 2*b**3 + 3827462*b**2*i - 26*i wrt b.
-33840*b**2*i - 638724*i + 12
What is the second derivative of 328521*s**5 - 42*s**3 - 2*s**2 + 14870670*s?
6570420*s**3 - 252*s - 4
What is the third derivative of -27935981*l**4 + 36*l**2 + 3*l - 41255 wrt l?
-670463544*l
What is the third derivative of -21540*c**3*v**2 + 2*c**3*v + 283*c**3 + 14*c**2*v**2 - 1370*c*v**2 - c*v + 28*v**2 wrt c?
-129240*v**2 + 12*v + 1698
Differentiate 1088*s**3 - 12963*s - 2851959.
3264*s**2 - 12963
Find the third derivative of 25715775*w**3 + 1538379*w**2 + 2*w + 2.
154294650
Differentiate -25386*k**4*n + 75*k*n + 15301205*n with respect to k.
-101544*k**3*n + 75*n
Find the first derivative of -16937989*o + 987616.
-16937989
What is the second derivative of -95544*f**3 + 3475*f**2 + 380023*f - 189?
-573264*f + 6950
Differentiate 185*g**2*t - 219989617*g**2 - 172*g*t**2 + 1378*t**2 wrt t.
185*g**2 - 344*g*t + 2756*t
Differentiate 2*c**2 + 208617*c*l - 3*c - 103254577*l wrt c.
4*c + 208617*l - 3
What is the second derivative of 15*d**3*w**2 + 11*d**3 - 2184*d**2 - 2*d*w**2 - 163*d*w - 11*w**2 - 1396 wrt d?
90*d*w**2 + 66*d - 4368
Find the second derivative of 743064054*w**4 - 834727299*w wrt w.
8916768648*w**2
What is the second derivative of -1333322516*r**4 - 1432440667*r?
-15999870192*r**2
Find the third derivative of -3871722*p**5 - 3*p**2 - 293*p + 292 wrt p.
-232303320*p**2
Find the first derivative of -3*t**2 + 541392*t + 11840079.
-6*t + 541392
Differentiate 19*p**2 + 1545837*p - 87036937 wrt p.
38*p + 1545837
Find the second derivative of -3*i**2*l + 2275309*i**2*x**3 - i*l*x**3 + i*l*x**2 - 7*i*x**2 + 179*l*x + 4*x wrt i.
-6*l + 4550618*x**3
Find the third derivative of -21894759*c**2*l**3 + 363*c**2*l**2 + 82138*c**2*l - 2*l**3 wrt l.
-131368554*c**2 - 12
Find the first derivative of 46709*x**2 + 190*x - 34371803 wrt x.
93418*x + 190
Find the third derivative of -740318870*k**3 + 33*k**2 + 20*k - 38091.
-4441913220
What is the second derivative of -2*k**2*x**5 + 1158239*k**2*x**2 - 397*k**2*x - k**2 - k*x + 2*x + 7 wrt x?
-40*k**2*x**3 + 2316478*k**2
Find the third derivative of -11881514*r**5 - 731914*r**2 - 2*r + 2 wrt r.
-712890840*r**2
What is the third derivative of 1178*z**5 + 44*z**4 - 8*z**3 - 2*z**2 - 19364586*z wrt z?
70680*z**2 + 1056*z - 48
What is the second derivative of -103737295*d**2 - 4695*d + 4166?
-207474590
Differentiate 30995395*h*z**2 + 7922617*z**2 with respect to h.
30995395*z**2
Find the second derivative of 2396223*l**2*n**2 - 3*l*n**2 + 133*l*n - l - 114*n**2 + 17 wrt l.
4792446*n**2
Find the third derivative of 15221030*z**3 + 1979*z**2 + 743*z.
91326180
What is the first derivative of 35*z**4 - 3*z**3 + z**2 + 3893*z + 3078613 wrt z?
140*z**3 - 9*z**2 + 2*z + 3893
Differentiate h*y**3 - 2*h*y**2 + 4488*h*y + 397*h - 122476893*y**3 + y**2 with respect to h.
y**3 - 2*y**2 + 4488*y + 397
Find the second derivative of -9304064*l**4 - 31*l + 27120.
-111648768*l**2
What is the first derivative of -8751052*b**3 - 15007638 wrt b?
-26253156*b**2
Find the first derivative of 29826788*x - 167466682.
29826788
Find the third derivative of 6970*w**4 - 716*w**3 + 44*w**2 + 19438*w - 1 wrt w.
167280*w - 4296
Differentiate -1098386645*k - 758229165 with respect to k.
-1098386645
Find the first derivative of -1683574*j**3 - 112*j - 634310737 wrt j.
-5050722*j**2 - 112
Find the third de | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -5469*g**3 - 2744*g**2 - 1?
-32814
What is the second derivative of -12*f**4 + 11*f**3 - 100*f**2*w + 87*f*w + 404*f + 2*w - 2 wrt f?
-144*f**2 + 66*f - 200*w
What is the third derivative of c**6 - 9*c**4*i*y - 6*c**3*i**2 + 1289*c**2*i*y + c**2 - 2*c*i**2 wrt c?
120*c**3 - 216*c*i*y - 36*i**2
What is the third derivative of -21709*r**6 - r**2 - 1778*r - 5 wrt r?
-2605080*r**3
Find the third derivative of 28643*g**3 + 2*g**2 - 5*g - 257.
171858
What is the third derivative of -193*g**6 + 1990*g**4 + 2*g**2 - 44*g - 4350?
-23160*g**3 + 47760*g
Find the first derivative of 2*n**2*t**2 - 278*n**2*t + 1487*n**2 + 113*t**2 + 15 wrt t.
4*n**2*t - 278*n**2 + 226*t
Find the first derivative of 5*g**2 + 105246*g - 1391072 wrt g.
10*g + 105246
Find the third derivative of 63*f**6 - 31*f**5 - f**4 + 3563*f**2 + f - 5 wrt f.
7560*f**3 - 1860*f**2 - 24*f
Find the first derivative of -2*h**2 - 8676*h - 65985.
-4*h - 8676
Find the second derivative of 8619*h*q**5 + 49*h*q**3 - 211309*h*q - q wrt q.
172380*h*q**3 + 294*h*q
What is the third derivative of -2*q**5 - q**4 - 6591*q**3 - 497369*q**2 - 3*q?
-120*q**2 - 24*q - 39546
Find the third derivative of -12112*h*j**3 - 24282*h*j**2 + 2*h*j + 27*j**2 wrt j.
-72672*h
Find the third derivative of -23049*h**3*k**2 - 11*h**3*k + h**3 - 113*h**2*k + 37*k**2 + 14 wrt h.
-138294*k**2 - 66*k + 6
Differentiate -344411*u + 23583 wrt u.
-344411
Find the third derivative of 2255*k**2*o**3 - 14*k**2*o**2 - k**2 + 2*k*o**3 + 3*o**3 + 1369*o**2 wrt o.
13530*k**2 + 12*k + 18
Find the third derivative of 86571*z**3 - 2719*z**2 + 3*z - 1.
519426
Find the second derivative of 3975*b*q**5 + 29*b*q**3 + 31655*b*q + 24*q wrt q.
79500*b*q**3 + 174*b*q
Find the third derivative of -158*b**4 + 200*b**3*h*t + 2*b**3*x - b**2*h*t*x - 59*b**2 - 6*h*t + 6*t wrt b.
-3792*b + 1200*h*t + 12*x
What is the third derivative of 11962*f*t**3 + 2*f + 3*t**3 + 7*t**2 - 3890*t - 5 wrt t?
71772*f + 18
Find the third derivative of 206475*h**3 + 652507*h**2.
1238850
What is the second derivative of -c**4*j - 2*c**3*j - 9349*c**2*j - 9387*c*j + 3*c - j wrt c?
-12*c**2*j - 12*c*j - 18698*j
Find the second derivative of -185909*q**5 - 30*q + 56940 wrt q.
-3718180*q**3
Find the second derivative of 290885*p**4 - 6*p - 128385.
3490620*p**2
What is the first derivative of -1984840*c + 2183638?
-1984840
What is the derivative of -1380700*a**2 + 765199?
-2761400*a
What is the third derivative of -1864741*z**4 + 35*z**2 + 11609*z wrt z?
-44753784*z
Find the third derivative of -98475*y**3 + 101*y**2 - 42*y wrt y.
-590850
What is the first derivative of -4315*a*b**2*m**3 + 22*a*m**3 + 1243*b**2*m**3 - 3*b**2*m + m wrt a?
-4315*b**2*m**3 + 22*m**3
What is the derivative of 26*h**3 - 231*h*p**3 - p**3 - 17230*p wrt h?
78*h**2 - 231*p**3
Find the third derivative of -706849*m**3 - 1873133*m**2 wrt m.
-4241094
Find the first derivative of -235*o**3 - 14*o**2 + 6*o - 7442955.
-705*o**2 - 28*o + 6
Find the third derivative of 31985*j**3*r**3 + 3*j**2*r**2 + 10*j**2 + j*r**3 + 84*j*r wrt j.
191910*r**3
Find the second derivative of -243*d**4 + 2*d**3 - 8*d**2 - 900*d - 71.
-2916*d**2 + 12*d - 16
Find the third derivative of 37*h**6*x**3 + 3807*h**6 + h**2*x**3 - 30*h**2*x - 1161*h*x**3 + 3*h*x wrt h.
4440*h**3*x**3 + 456840*h**3
Find the second derivative of -120*r**4 + 61*r**3 + 2*r**2 - 21*r + 1819.
-1440*r**2 + 366*r + 4
Find the third derivative of 1400353*a**3*p - a**2*p - 35*a*p - 442*p wrt a.
8402118*p
Find the second derivative of 2*l**4*q**2 + 1843*l**3*q**3 - 2*l*q + 31557*q**3 wrt l.
24*l**2*q**2 + 11058*l*q**3
What is the first derivative of 1368645*l*u**2 - 2*u**2 + 21274*u + 7 wrt l?
1368645*u**2
What is the first derivative of 19*p*t*x**4 - 2*p*t*x**2 + 55*p*t*x - 2*p*t - 1284*p wrt x?
76*p*t*x**3 - 4*p*t*x + 55*p*t
Find the second derivative of -p**2*t**2*v**3 - 1984*p**2*t + p**2*v**3 + 34*p*t**2*v**2 - 2*p*t**2 + 4*p*v**3 + 3*t**2*v + 3*t*v**3 + 2*t wrt p.
-2*t**2*v**3 - 3968*t + 2*v**3
What is the derivative of 108734*b + 59111 wrt b?
108734
What is the third derivative of -460391*w**3 + 15508*w**2 + 120*w?
-2762346
What is the derivative of 38746*r - 52082?
38746
What is the second derivative of -g**4 - 2*g**3 - 1466*g**2 + 251019*g?
-12*g**2 - 12*g - 2932
What is the third derivative of 2206690*o**3 + o**2 + 2968819 wrt o?
13240140
What is the third derivative of 7*p**4 - 2079*p**3 + 166423*p**2 wrt p?
168*p - 12474
What is the derivative of -1187*g**4 - 10*g**3 + 2*g**2 - 46508?
-4748*g**3 - 30*g**2 + 4*g
What is the second derivative of 498650*s**3 + 2*s - 72421 wrt s?
2991900*s
Differentiate 337*f**3*n**2 + 128*f**3*n + 126272*f**3 wrt n.
674*f**3*n + 128*f**3
What is the second derivative of -32759*z**2 + 16392*z - 1 wrt z?
-65518
Find the second derivative of -169*j**2*t**2 + j**2*t + 825*j**2 - 6*j*t**2 + 6*j*t + j + 9*t**2 - t wrt j.
-338*t**2 + 2*t + 1650
Find the first derivative of -41654*p**2*v**2 - p*v + 46271*v**2 wrt p.
-83308*p*v**2 - v
Find the third derivative of 12573*p**4 - 2412*p**2 + 4.
301752*p
Find the second derivative of 663548*f**2 + 815838*f wrt f.
1327096
Find the third derivative of -3*s**4 + 82899*s**3 - 17*s**2 - 4*s - 6.
-72*s + 497394
What is the second derivative of -h**3*l**2 + 22297*h**3*l + 2*h**3 + 12975*h*l**2 - 2*l**2 wrt l?
-2*h**3 + 25950*h - 4
Differentiate 6123122*g + 70844 wrt g.
6123122
What is the derivative of -171092*a**4 + 22696?
-684368*a**3
Differentiate -914*b*j**2 - 20*b*r**2 + 919*j**2*r + 6*j*r**2 wrt b.
-914*j**2 - 20*r**2
Find the third derivative of 2*o**4 + 2418*o**3 + 4084*o**2 + 11*o.
48*o + 14508
What is the second derivative of -59742*w**4 - 62942*w?
-716904*w**2
What is the derivative of 22*g*i**2*j - 7*g*i*j + 96*g*j - 427*i**2*j - 347*i wrt g?
22*i**2*j - 7*i*j + 96*j
What is the second derivative of -208664*d**4 + 4*d**3 - 3484367*d wrt d?
-2503968*d**2 + 24*d
What is the second derivative of 79*m**3 + 16*m**2 + 1035*m?
474*m + 32
What is the second derivative of -150*t**5 - 382*t**4 - 557055*t wrt t?
-3000*t**3 - 4584*t**2
Find the second derivative of -54017*c**2 - 67848*c - 1.
-108034
Find the third derivative of -i**6 - 1094*i**4 + 72*i**3 + 32*i**2 + 2747.
-120*i**3 - 26256*i + 432
What is the second derivative of -5477953*f**4 + 5224276*f wrt f?
-65735436*f**2
Differentiate 957100*g + 888969 wrt g.
957100
What is the derivative of -18935*y - 12093 wrt y?
-18935
Find the first derivative of 5*n**4 + 79*n**3 + 4*n - 6864.
20*n**3 + 237*n**2 + 4
Find the third derivative of 174537*d**3 + 28*d**2 + 55*d + 17 wrt d.
1047222
What is the third derivative of -89282*g**4 - 12*g**2 - 71 wrt g?
-2142768*g
What is the third derivative of -2*c**3*z + 59645*c**3 + 82*c**2 - 11*c*z - 3*c - 2*z wrt c?
-12*z + 357870
What is the derivative of -5*a*b*p + 131*a*p + 53271*b**4 + 603*p wrt b?
-5*a*p + 213084*b**3
What is the third derivative of -19311*v**3 - 28757*v**2?
-115866
What is the first derivative of 5089*h**3*p**2 - 3*h**2 + h*p**3 - 317173*p**3 wrt h?
15267*h**2*p**2 - 6*h + p**3
Find the third derivative of -2*y**5 - 3210*y**3 - 45916*y**2.
-120*y**2 - 19260
What is the first derivative of 10*c**2*x**2 - 357*c**2*x + 2*c**2 + c - 2610058*x**2 wrt c?
20*c*x**2 - 714*c*x + 4*c + 1
What is the second derivative of 7*n**2*r**2*s**3 - 12840*n**2*r**2 + n**2*r - 105*n**2*s + 21*n*r + r*s**3 wrt r?
14*n**2*s**3 - 25680*n**2
Find the second derivative of 21950*g**2*i**3 + 14*g*i**2 + 440*g*i + g - 2*i**3 wrt g.
43900*i**3
Find the third derivative of -n**3*x**3 - 530087*n**3*x**2 + n**3 + 17*n**2*x**3 - 5*x**3 + 368*x wrt n.
-6*x**3 - 3180522*x**2 + 6
What is the derivative of -147068*b**3*d**3 - d**3 + 468*d**2 + 4*d + 4 wrt b?
-441204*b**2*d**3
Find the second derivative of 70583*k**2 - 49983*k.
141166
Find the third derivative of -1111*i**4*k**2 + 252*i**4 - 212*i**2*k**2 - 22*i*k**2 - 3*i*k + 2*k**2 wrt i.
-26664*i*k**2 + 6048*i
Find the first derivative of -39302*d**2*r + 60749*d**2 wrt r.
-39302*d**2
What is the third derivative of -32010*h**3 + 29577*h**2?
-192060
Differentiate 60*o**4*r**3 + 289*o*r + 121*r**3 + 21*r**2 with respect to o.
240*o**3*r**3 + 289*r
Find the third derivative of -77*t**5 - 896*t**4 - t**3 - 123*t**2 + 24*t + 4.
-4620*t**2 - 2150 | {
"pile_set_name": "DM Mathematics"
} |
5*l. What is the greatest common factor of 72 and u?
8
Let j = 210 - 347. Let d = j + 122. Let a(x) = -2*x + 4. Let k be a(d). What is the highest common factor of 51 and k?
17
Let w(u) = 33*u. Let x be w(1). Let k = -64 - -57. Let g be 1/(80/(-12) - k). What is the greatest common factor of g and x?
3
Let m(g) be the third derivative of 5*g**4/6 + g**3/6 - 12*g**2. Let q be m(1). Let f be (-14)/q*(-12 - 0). What is the highest common divisor of 24 and f?
8
Let r be (961 - (-2 + 2)) + (-3 - -1). Suppose 5*s = r + 226. Suppose z = 2*t - s, -5*t + 517 + 80 = -4*z. What is the greatest common factor of t and 13?
13
Suppose 0 = 59*i - 56*i + 828. Let j = i + 352. What is the highest common divisor of j and 133?
19
Suppose 224 = 2*b + 192. Suppose 0*a + 4*a + b = -5*u, 20 = 4*a - 4*u. Calculate the greatest common factor of 9 and a.
1
Let q = -1 - -1. Let i(z) = 7 + 6*z + q*z**2 + 1 + z**2. Let r be i(-12). What is the highest common factor of 10 and r?
10
Let u be (5/(-3))/5*-72. Let q be ((-50)/(-15))/((-5)/(-180)). What is the highest common divisor of q and u?
24
Suppose -60 = 7*j - 67. Let f = 15 - 10. Suppose -f*n - 5 = -2*p, -p + 8 - j = -n. What is the greatest common divisor of p and 110?
10
Let a = 148870 - 148838. Let o be ((-48)/10)/(-3)*30. Calculate the greatest common divisor of a and o.
16
Suppose -8*b + 62 + 242 = 0. Let q(c) = -13*c**2 - 6*c**2 + 3*c**2 + 2*c + b + c**3 - 4*c. Let n be q(16). What is the highest common divisor of n and 54?
6
Suppose -w - 99 = -97. Let h be 40 - ((-6)/3 - (w - 4)). Suppose -24 = -3*p + 3*t, -t + 43 = 5*p - 3*t. Calculate the highest common divisor of h and p.
9
Suppose -17*h = -1057 - 4859. Suppose n - 44 = -4*i - n, 0 = -2*i + 5*n + 34. Calculate the greatest common factor of i and h.
12
Let o = 291 - 264. Suppose 202 = o*z - 365. Calculate the highest common factor of z and 672.
21
Let s = 351 + 177. Suppose 12*x + 12335 = 12731. Calculate the highest common factor of s and x.
33
Suppose -w - 3*w + 53 = 3*r, 93 = 4*w - 5*r. Suppose -4*f - 292 = 156. Let x be 121/7 + 32/f. What is the greatest common divisor of x and w?
17
Let o = -2671 + 2745. What is the greatest common factor of 4 and o?
2
Let n = 1764 - 1275. Calculate the greatest common factor of 2282 and n.
163
Let p = -146 - -170. Calculate the highest common factor of p and 1644.
12
Let p(g) = 4*g**2 + 21*g - 153. Let v be p(6). Suppose 3*x + 3*q - 51 = 0, -7*x + 2*x + v = -3*q. What is the greatest common factor of x and 154?
7
Let k = 23564 - 22948. Calculate the greatest common factor of 1624 and k.
56
Suppose -77 = -2*s - 3*n, -5*s + 5*n + 29 + 176 = 0. Let a be (3 - -1) + -1 + 137. What is the highest common divisor of s and a?
20
Let p = -212 + 224. Let l be (2 + -4)/((-3)/90). Calculate the greatest common divisor of l and p.
12
Let y(v) = -2*v + 34. Let k be y(16). Let w = 587 + -289. Suppose -44 - w = -k*s. Calculate the highest common factor of 19 and s.
19
Let i be 2/(-4) - (-290)/20. Suppose 154 = 25*f - i*f. Suppose -2*w + 3 = -1. What is the greatest common factor of f and w?
2
Let y(f) = -3*f**3 + 3*f**2 + f - 3. Let z be y(2). Let s(t) = 2*t**2 + 12*t - 22. Let q be s(z). Calculate the highest common factor of q and 5.
5
Let g = -3 + 129. Let v be 6/(96/(-52))*4. Let k = v + 27. Calculate the greatest common divisor of g and k.
14
Let k be ((-18)/4)/((-18)/36). Suppose 6*i = k*i - 36. Let b = -233 - -341. What is the greatest common divisor of i and b?
12
Let o be (-2)/(-1) + (-215)/(-5). Let l(y) = -8*y - 127. Let b be l(-16). Suppose -4*f + 35 = -b. What is the greatest common divisor of o and f?
9
Suppose -311*l = -309*l - 6. Suppose 5*r = 4*r + 1, 4*r - 4900 = -l*c. What is the highest common factor of c and 32?
32
Let v be -3 + (-92)/(-28) + 55022/287. Suppose -3*q + 91 = -5. Calculate the highest common factor of q and v.
32
Suppose n = 44 - 54. Let m(b) = -b**3 - 6*b**2 + 21*b - 19. Let k be m(n). Calculate the highest common divisor of 27 and k.
9
Let q = -15 + 57. Suppose -6*s = -0*s - q. Calculate the highest common divisor of s and 119.
7
Suppose -8 = 8*f - 24. Let i(b) = 116*b - 23. Let s be i(f). What is the greatest common divisor of 22 and s?
11
Suppose -r - 3*g = -3380, -946*g - 6800 = -2*r - 944*g. What is the highest common factor of 35 and r?
35
Let h be (6 + 54/(-21))*105. Let m = -330 + h. What is the highest common divisor of 120 and m?
30
Let s be 4*(3 - 0)/6. Suppose -3*c = x + 168, 0*c + s*c + 3*x + 119 = 0. Let t = c + 79. What is the highest common factor of 3 and t?
3
Let l = 153333 - 153095. Let a be (-17)/1*(-4)/1. Suppose 0*o = -2*o + a. What is the greatest common divisor of o and l?
34
Suppose 0 = -0*u + 6*u - 240. Let q = u - 24. Let i = 10 - -14. What is the highest common factor of q and i?
8
Suppose 0 = 2*v + 3*m - 0*m - 822, -m = 4*v - 1624. What is the highest common divisor of 324 and v?
81
Suppose 5*q - 4*q + 2874 = 2*p, 0 = 4*p - 3*q - 5746. Suppose 4*z - 310 = p. What is the greatest common factor of z and 19?
19
Suppose -3*x + 18 + 3 = -5*i, 3*i + 17 = 4*x. Let h(k) = 4*k**2 + 11*k - 25. Let v be h(x). Calculate the greatest common factor of v and 325.
13
Suppose 5*u - 1675 = -5*d, -5*d + 1339 = 4*u - 0*u. Let a = -77 + u. Suppose a + 361 = 5*b. Calculate the highest common factor of 31 and b.
31
Let h = -193 + 326. Suppose -11 = -8*g + h. What is the highest common divisor of g and 162?
18
Let b(r) = r**2 - 7*r + 11. Let t be b(6). Suppose 0 = t*f + 2 - 62. Let w be ((-72)/(-10))/((-3)/(-10)). Calculate the highest common divisor of w and f.
12
Let x(f) = 846*f - 4102. Let n be x(9). What is the highest common divisor of n and 8?
8
Suppose 3*n - 5*t - 137 - 118 = 0, -t = 4*n - 317. Let k(u) = -3511*u + 14084. Let q be k(4). What is the greatest common divisor of n and q?
40
Let w = 284 + -282. Suppose 15*i + w*u - 152 = 14*i, 0 = -i + 3*u + 162. Calculate the highest common factor of 36 and i.
12
Let c(v) = -v**2 + 8*v + 12. Let w be c(9). Suppose 3 = w*a, -12*g = -7*g - a - 2459. Calculate the highest common factor of g and 12.
12
Let n(z) = 2*z**2 + 6*z + 3. Let c be n(-4). Let r = 14 - c. Suppose 0 = -12*l + 315 - r. Calculate the highest common factor of l and 234.
26
Suppose x + 8342 = 2*c, 3*c - x - 15595 + 3084 = 0. What is the highest common factor of c and 11?
11
Let n be (-40)/16*(-12)/(-10). Let u be (n/4)/((-7)/252). What is the greatest common factor of u and 18?
9
Suppose 1176 = 19*y - 5*y. Suppose 28*j = 700 + y. Suppose -2*w + 2*n + 18 = 0, 4*w = -w + 3*n + 35. What is the greatest common divisor of j and w?
4
Suppose -25*x + 16*x + 246 = -6*x. Calculate the greatest common factor of x and 178.
2
Suppose 4*n + 5*h = 7 - 17, n = 5*h + 10. Let u be ((-12)/(-20) - (n - -1))*-480. Calculate the greatest common divisor of 24 and u.
24
Let u = -481 - -774. Suppose -u = 2*q - 59. Let k = q - -121. What is the greatest common factor of k and 4?
4
Suppose 244*v + 71*v + 172453 = 827653. Calculate the highest common factor of 390 and v.
130
Let d(w) = -w**2 + 3*w + 16. Suppose 0 = -18*b + 20*b - 10. Let u be d(b). Let r be 5 + 64/u - 2/3. What is the greatest common divisor of r and 15?
15
Suppose -12 - 6 = -3*y. Suppose -y*t + 8*t - 370 = 0. Let b(g) = 139*g - 621. Let r be b(5). What is the highest common divisor of t and r?
37
Let m be 135*(-21)/(-18)*2. Suppose -96 = -3*s + 9. What is the greatest common factor of s and m?
35
Suppose -284*p + 38841 = 79*p. Calculate the highest common factor of 7 and p.
1
Let x = 32944 + -31272. What is the highest common divisor of x and 440?
88
Let d = -253 + 264. Suppose 12*l - d*l = 30. Calculate the greatest common divisor of l and 35.
5
Let j(c) = c**2 + 13*c + 21. Let m be j(-10). Let h be (-4 - m)*(-7 + 8). Let u be -5*(0 - (0 - -1)). What is the highest common factor of h and u?
5
Let w = 53 - 49. Suppose -507 = -w*x + 3*f, -4*x + 369 = 4*f - 131. Calculate the highest common factor of 56 and x.
14
Let w be (-1)/(-2) + (9 - (-110)/20). Let c be w*1 - (19 - 25). Calculate the greatest common factor of 12 and c.
3
Suppose 0 = 4*c - 8, -29*c - 497 = -3*f - 24*c. Suppose 9*s - 1 = 116. What is the greatest common divisor of f and s?
13
Suppose g = 2*s - 59, 2*s - 26*g + 31*g - 77 = 0. Calculate the highest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
nteger?
1236
What is 1467188 to the power of 1/10, to the nearest integer?
4
What is 1606011 to the power of 1/3, to the nearest integer?
117
What is 9236522 to the power of 1/2, to the nearest integer?
3039
What is the cube root of 663008 to the nearest integer?
87
What is 457971 to the power of 1/2, to the nearest integer?
677
What is 3629115 to the power of 1/8, to the nearest integer?
7
What is the seventh root of 195542 to the nearest integer?
6
What is the ninth root of 16730608 to the nearest integer?
6
What is 1244888 to the power of 1/2, to the nearest integer?
1116
What is the square root of 864005 to the nearest integer?
930
What is the sixth root of 827102 to the nearest integer?
10
What is the square root of 563470 to the nearest integer?
751
What is 424618 to the power of 1/9, to the nearest integer?
4
What is the cube root of 168451 to the nearest integer?
55
What is 266483 to the power of 1/3, to the nearest integer?
64
What is 16065 to the power of 1/3, to the nearest integer?
25
What is 1369741 to the power of 1/2, to the nearest integer?
1170
What is 1636775 to the power of 1/2, to the nearest integer?
1279
What is the seventh root of 1010270 to the nearest integer?
7
What is the square root of 289991 to the nearest integer?
539
What is the cube root of 1119384 to the nearest integer?
104
What is 3874889 to the power of 1/2, to the nearest integer?
1968
What is the third root of 961542 to the nearest integer?
99
What is 316229 to the power of 1/9, to the nearest integer?
4
What is 1394641 to the power of 1/6, to the nearest integer?
11
What is the sixth root of 565685 to the nearest integer?
9
What is the cube root of 2334889 to the nearest integer?
133
What is the cube root of 17808237 to the nearest integer?
261
What is the square root of 260441 to the nearest integer?
510
What is the cube root of 421031 to the nearest integer?
75
What is 2200202 to the power of 1/7, to the nearest integer?
8
What is the cube root of 2430115 to the nearest integer?
134
What is the square root of 3944822 to the nearest integer?
1986
What is the third root of 196500 to the nearest integer?
58
What is 3311931 to the power of 1/5, to the nearest integer?
20
What is 13212454 to the power of 1/7, to the nearest integer?
10
What is the eighth root of 854543 to the nearest integer?
6
What is 316393 to the power of 1/6, to the nearest integer?
8
What is 11672156 to the power of 1/5, to the nearest integer?
26
What is the cube root of 439310 to the nearest integer?
76
What is the cube root of 9320731 to the nearest integer?
210
What is 183516 to the power of 1/6, to the nearest integer?
8
What is 39076 to the power of 1/10, to the nearest integer?
3
What is 1728904 to the power of 1/2, to the nearest integer?
1315
What is the cube root of 19256897 to the nearest integer?
268
What is 945269 to the power of 1/3, to the nearest integer?
98
What is the cube root of 4821887 to the nearest integer?
169
What is the third root of 12269947 to the nearest integer?
231
What is the ninth root of 349960 to the nearest integer?
4
What is the square root of 190689 to the nearest integer?
437
What is the square root of 583447 to the nearest integer?
764
What is 1160534 to the power of 1/2, to the nearest integer?
1077
What is 412715 to the power of 1/2, to the nearest integer?
642
What is 17128625 to the power of 1/5, to the nearest integer?
28
What is 6004829 to the power of 1/8, to the nearest integer?
7
What is 84908 to the power of 1/8, to the nearest integer?
4
What is 5818953 to the power of 1/4, to the nearest integer?
49
What is the eighth root of 176749 to the nearest integer?
5
What is 467166 to the power of 1/2, to the nearest integer?
683
What is 15558720 to the power of 1/9, to the nearest integer?
6
What is the square root of 1149444 to the nearest integer?
1072
What is 84880 to the power of 1/2, to the nearest integer?
291
What is 1683960 to the power of 1/2, to the nearest integer?
1298
What is the square root of 2034059 to the nearest integer?
1426
What is 20935 to the power of 1/3, to the nearest integer?
28
What is 96787 to the power of 1/2, to the nearest integer?
311
What is 27310827 to the power of 1/2, to the nearest integer?
5226
What is the third root of 885685 to the nearest integer?
96
What is 18040296 to the power of 1/3, to the nearest integer?
262
What is 16304245 to the power of 1/9, to the nearest integer?
6
What is 184286 to the power of 1/2, to the nearest integer?
429
What is 169084 to the power of 1/2, to the nearest integer?
411
What is the third root of 354111 to the nearest integer?
71
What is the eighth root of 5559783 to the nearest integer?
7
What is the third root of 521066 to the nearest integer?
80
What is 261482 to the power of 1/7, to the nearest integer?
6
What is the square root of 5683082 to the nearest integer?
2384
What is 994200 to the power of 1/9, to the nearest integer?
5
What is the third root of 305783 to the nearest integer?
67
What is the cube root of 173504 to the nearest integer?
56
What is 384271 to the power of 1/6, to the nearest integer?
9
What is 136340 to the power of 1/8, to the nearest integer?
4
What is the ninth root of 719038 to the nearest integer?
4
What is the cube root of 164759 to the nearest integer?
55
What is the cube root of 4516124 to the nearest integer?
165
What is the square root of 1019922 to the nearest integer?
1010
What is the cube root of 12444 to the nearest integer?
23
What is the eighth root of 338079 to the nearest integer?
5
What is the third root of 4722422 to the nearest integer?
168
What is 4414080 to the power of 1/2, to the nearest integer?
2101
What is the square root of 522851 to the nearest integer?
723
What is 15316298 to the power of 1/2, to the nearest integer?
3914
What is the seventh root of 657600 to the nearest integer?
7
What is 800962 to the power of 1/9, to the nearest integer?
5
What is 146545 to the power of 1/3, to the nearest integer?
53
What is the cube root of 1674924 to the nearest integer?
119
What is 33949813 to the power of 1/2, to the nearest integer?
5827
What is 1677474 to the power of 1/2, to the nearest integer?
1295
What is the fifth root of 8607142 to the nearest integer?
24
What is 491947 to the power of 1/3, to the nearest integer?
79
What is 411055 to the power of 1/2, to the nearest integer?
641
What is the third root of 525653 to the nearest integer?
81
What is 999647 to the power of 1/2, to the nearest integer?
1000
What is the seventh root of 58451 to the nearest integer?
5
What is the tenth root of 1092357 to the nearest integer?
4
What is the square root of 4316796 to the nearest integer?
2078
What is the third root of 671623 to the nearest integer?
88
What is 16414131 to the power of 1/2, to the nearest integer?
4051
What is 1205758 to the power of 1/2, to the nearest integer?
1098
What is the cube root of 74483 to the nearest integer?
42
What is 3046356 to the power of 1/2, to the nearest integer?
1745
What is 446974 to the power of 1/2, to the nearest integer?
669
What is the third root of 25977 to the nearest integer?
30
What is the cube root of 401250 to the nearest integer?
74
What is 3272605 to the power of 1/2, to the nearest integer?
1809
What is 961580 to the power of 1/7, to the nearest integer?
7
What is 1099039 to the power of 1/3, to the nearest integer?
103
What is 723246 to the power of 1/8, to the nearest integer?
5
What is 271525 to the power of 1/2, to the nearest integer?
521
What is 2142311 to the power of 1/9, to the nearest integer?
5
What is the eighth root of 9416024 to the nearest integer?
7
What is the tenth root of 1103771 to the nearest integer?
4
What is 494884 to the power of 1/9, to the nearest integer?
4
What is 33726402 to the power of 1/5, to the nearest integer?
32
What is 53977 to the power of 1/3, to the nearest integer?
38
What is the square root of 49756 to the nearest integer?
223
What is the square root of 50364 to the nearest integer?
224
What is the cube root of 680860 to the nearest integer?
88
What is 151235 to the power of 1/8, to the nearest integer?
4
What is 10330383 to the power of 1/2, to the nearest integer?
3214
What is the seventh root of 46997 to the nearest integer?
| {
"pile_set_name": "DM Mathematics"
} |
).
220*r**3
Expand r**4 + 2*r**4 - r**4 + (-r + 5*r - 2*r)*(0*r**2 + r**3 + 0*r**2) - 28134 + 41*r**4 + 28134.
45*r**4
Expand (-23*x + 6*x + 3*x)*(-2*x + 5 + 7*x + 3*x).
-112*x**2 - 70*x
Expand (-31 + 17*r**3 + 31)*(-3*r + r + 3*r + (5*r - 4*r + 2*r)*(2 - 1 - 2)).
-34*r**4
Expand (-1113 - 34*v**2 + 1113)*(5 - 4 + 0)*(-3*v + 2 - 2).
102*v**3
Expand 30 + 6*d**2 - 30 + 28 - 2*d**2 + 4*d + 3*d - 8*d + (2*d**2 + 1 - 1)*(2 - 7 + 4).
2*d**2 - d + 28
Expand (0*g**5 + 2*g**5 - g**5)*(-1 + 4 + 10 + (-1 - 1 + 3)*(2 + 1 + 4)).
20*g**5
Expand (0 + 4*d - 1 - 1)*(13*d + 2*d + 2*d).
68*d**2 - 34*d
Expand (-13*d - 31*d - 96*d - 25*d)*(-d**2 + d**2 + 2*d**3).
-330*d**4
Expand (-8*v + 3*v + 3*v)*(v + 0*v - 3*v + (-2 + 2*v + 2)*(1 + 1 - 4) + v + 13*v - 3*v).
-10*v**2
Expand (-9*m - 10*m + 6*m)*(m**3 + 2 - 2).
-13*m**4
Expand (-2 + 0*o + o + 0*o)*(-2 + 4*o + 137*o + 116*o).
257*o**2 - 516*o + 4
Expand (-26*p + 39*p - 30*p)*(7*p - 13*p - 3*p)*(p + p - 4*p).
-306*p**3
Expand (-4 + 0 - i**2 + 3*i**2)*(70 + 60 - 51).
158*i**2 - 316
Expand (23*i + 7*i - 9*i)*((-2*i + 3*i - 2*i)*(i**2 + 2*i**2 - 2*i**2) + 3*i**3 - i**3 + 0*i**3).
21*i**4
Expand (-43*d**2 + 73 - 73)*(2*d**3 + d**3 + 0*d**3) + (-33 + 33 - d**4)*(3 - 3 - 2*d).
-127*d**5
Expand (0*a - a + 0*a)*(a - 2*a + 2*a) + 30 - 30 + 13*a**2 + a - a**2 - a.
11*a**2
Expand (w - 2*w + 0*w)*(-2 + 3 - 4)*(w**2 + w**2 - w**4 - 17*w**4) + (-7 + 3 + 2)*(0*w**5 - 5*w**5 + 4*w**5) + 0*w**5 - w**5 + 2*w**5.
-51*w**5 + 6*w**3
Expand (3 + 0 - 4)*(0 + 5 + 2)*(-1 + 1 - 3*n)*(1 - 2 - 1)*(3 - 1 + 1).
-126*n
Expand (-1 + 5*d + 9 - 4*d)*(2*d - 3*d + 0*d) + d**2 - 3*d**2 + 0*d**2.
-3*d**2 - 8*d
Expand (-m + 3*m + m + 20 - 20 + 4*m + m + m - 3*m + (-3*m - 2*m + 2*m)*(2 - 2 - 1))*(-3 + 2 + 0).
-9*m
Expand (-220 + 220 - 8*g**2)*(3 - 2 + 0)*(g - 5*g + g).
24*g**3
Expand -2*f**5 + 0*f**5 + 5*f**5 + (9*f**3 - 4*f**3 + 19*f**3)*(3*f**2 - 5*f**2 - 2*f**2).
-93*f**5
Expand (66*w**2 - 24*w**2 - 44*w**2 - 1051*w**3)*(3*w**2 + w**2 - 5*w**2).
1051*w**5 + 2*w**4
Expand (18*z - 45*z + 22*z)*((2*z**3 + z**3 - 5*z**3)*(z - 3*z + 4*z) + 2*z**4 + 2*z**2 - 2*z**2 - 3*z**4 + 3*z**4 - 2*z**4).
20*z**5
Expand (x**2 + 4 - 4)*(29 - 6*x - 29)*(-4 + 16 - 3).
-54*x**3
Expand 41*y - 84*y - 89*y + (y + 0 + 0)*(3 - 1 + 0).
-130*y
Expand (w**3 - 5*w**3 + 2*w**3)*(23 - 46 - 15)*(-4*w + 3*w + 3*w)*(-2*w + 2*w + 3*w).
456*w**5
Expand (-4*q + 0*q - 7*q)*(3*q + q**3 - 3*q - 1).
-11*q**4 + 11*q
Expand (0*v + v + 0*v)*(-v**3 + v**3 - v**3)*(-8 - 2 + 3)*(-v + 3*v + 4*v).
42*v**5
Expand (n**4 + 0*n**4 - 3*n**4)*(-n + 6*n - 4*n + (-1 + 1 - n)*(193 - 38 + 104)).
516*n**5
Expand (0 + 0 + 4)*(222*g**3 - 77*g**3 + 131*g**3).
1104*g**3
Expand (-1 + d + 1)*(-3 + 0 - 2)*(-15 - 3 + 49).
-155*d
Expand (-i + 3*i + 0*i)*(-7 - 13 + 33)*(-3 - 10 + 3)*(3 - 1 - 4)*(-i + 6*i - 3*i).
1040*i**2
Expand (-f + 2*f + f)*(-14*f - 5*f**2 + 14*f)*(-3*f - f + 5*f).
-10*f**4
Expand (12*i + i**2 + 11*i + 2*i**2)*(5*i**2 - 5*i**2 + 3*i**3).
9*i**5 + 69*i**4
Expand -374*n + 374*n - 29*n**2 + (3 + 1 + 0)*(-n**2 + n**2 - n**2).
-33*n**2
Expand ((-3 - 4 + 1)*(7*q**2 - 4*q**2 + q**2) - 11*q + 8*q**2 + 11*q)*(1 - 4 + 1)*(-5 - 2*q + 5).
-64*q**3
Expand (0 - 2*u**2 + 0)*(-4 + 4 - 3)*(-626*u**2 - 627*u**2 + 1310*u**2).
342*u**4
Expand 28*g - 14*g - 21*g + 3*g + g - 2*g + g + 0*g + 0*g + g - 5*g + 2*g + (1 + 1 - 4)*(-2 + 2 - 2*g) - 3*g + 4*g - 2*g + g - 9 + 9.
-2*g
Expand (-3*j**4 + j**5 + 3*j**4)*(-1 + 4 - 2) + 0*j + 3*j**5 + 0*j + (-2*j**2 + j - j)*(3*j**3 + 2*j**3 - 3*j**3) - 13*j**5 + 3*j**5 - 3*j**5.
-13*j**5
Expand -2*s**5 + 4 - 4 - s + s - s**5 + (5*s**3 + 5*s**3 + 5*s**3)*(10*s**2 + 2*s**2 + s**2).
192*s**5
Expand 2*n**2 + 15*n**2 - 2*n**2 + (-1 + 1 - 3*n)*(1 - 2*n - 1) + 5*n - 5*n + 2*n**2.
23*n**2
Expand (3*f + 3*f - 2*f)*(3*f**2 + 2*f**2 - 3*f**2 + (0 + 2 - 1)*(3*f**2 + f**2 - f**2))*(-2*f - 2*f + 11*f).
140*f**4
Expand (1 - 2 + 7)*(3*g - 3*g - g)*(3*g - 5*g + 4*g) + (g + 1 - 2*g - 2*g)*(-1 + 1 + 3*g).
-21*g**2 + 3*g
Expand (25*s**2 - 29*s**2 - 3*s**3 + 5*s**3)*(3 - 3 + 2*s)*(-1 + 3 + 1).
12*s**4 - 24*s**3
Expand (-821 + 821 - 26*c)*(6 + 0 - 4) - 2*c - 2*c + 5*c.
-51*c
Expand (-8*t - 3*t + 6*t)*(-55 - 29*t + 55).
145*t**2
Expand 2*t**5 - 2*t**5 - 3*t**5 + (-2*t**2 - t + t)*(-t**3 - 4*t**3 + 4*t**3) + 6*t + 6*t**5 - 6*t.
5*t**5
Expand (0*d - 2*d + 4*d)*(-6*d + 3*d + d)*(170*d**3 - 2126*d + 2126*d).
-680*d**5
Expand -142*y**4 + 277*y**4 - 145*y**4 + 5 - y**5 + (0*y + y + y)*(y**4 + 2*y**4 - 2*y**4).
y**5 - 10*y**4 + 5
Expand -z**2 - z**2 - 3*z**2 + (-4 + 7 - 8)*(0*z**2 + 3*z**2 + 4*z**2).
-40*z**2
Expand (0*n + n + 0*n)*(-2*n**3 - 2*n**2 + 2*n**2) - 3*n + 146*n**4 + 4*n - 205*n**4.
-61*n**4 + n
Expand (m**2 - 2 + 2)*(-4 - m + 4)*((-m - 2*m + 5*m)*(-46 - 23 + 8) + 2*m - 2 + 2).
120*m**4
Expand (0*c**3 + 2*c**3 + 0*c**3)*(4*c + c + 2*c) + c**4 - 2*c**3 + 2*c**3.
15*c**4
Expand (2 - 4 + 3)*(4*n - 4*n + n + (0*n - 2*n + 0*n)*(-5 + 0 + 3))*(n - 6*n - 3*n).
-40*n**2
Expand ((1 + 1 - 3)*(-k + 2*k + k) - 20 - 3*k + 20)*(0*k - 3*k + k) + k**2 + 0*k**2 - 2*k**2.
9*k**2
Expand (2 - 6 + 1 + (2 + 8 - 2)*(-4 + 3 + 2))*(0 + 2 - 3)*((2 - 2 + 2)*(-3*o + 6*o - o) + 3*o + o - 2*o + 3*o + 1 - 1).
-45*o
Expand (0 + 0 - 2*b)*(8 - 1 + 0)*(4 - 7*b - 4).
98*b**2
Expand (1 + 2 - 4)*(-23*k**3 - 2*k**3 - 16*k**3)*(-1 - 3 + 3).
-41*k**3
Expand (-4*z**3 + 3*z**3 + 5*z**3)*(-5 + 6 + 4) - 6*z**3 + 8*z**3 - 13*z - z**3.
21*z**3 - 13*z
Expand (-5*o + 4*o - 9*o)*(-33 - 192*o**2 + 192*o**2 - 2*o**3).
20*o**4 + 330*o
Expand -3*q**5 + 5*q**5 - q**5 + (-5*q**5 + 4*q**5 - q**5)*(-4 + 2 + 4) + (-4*q**4 + 0*q**4 + 0*q**4)*(0*q + 2*q - 3*q) + q**4 + 2*q**5 - q**4.
3*q**5
Expand (-15 + 21 - 73)*(w**4 - 2*w**4 + 0*w**4).
67*w**4
Expand ((-3 + 3 - 2*g)*(2*g - 2*g + 2*g) + 2*g**2 + g**2 - 2*g**2)*(29*g + 101*g - 44*g).
-258*g**3
Expand (2 + 3 - k - 6)*((6*k**2 - 6*k**2 + 6*k**2)*(7 - 6 + 6) + 2*k**2 - k**2 - 4*k**2).
-39*k**3 - 39*k**2
Expand (w - 2*w**2 - w)*(-8*w**2 + 7*w**2 + 2*w**2) + 5*w**4 - 25*w**4 - 3*w**4.
-25*w**4
Expand -9*u - 10*u**4 + 9*u + (-3 + 4 + 1)*(u**3 - 3*u**3 + 0*u**3)*(-2*u - 5 + 5).
-2*u**4
Expand (-2*s**2 + s**2 - 4*s**2)*(3*s - 3*s - 16*s**3) + 2*s**5 - s**5 + 0*s**5.
81*s**5
Expand (-1 + 1 + 2)*(2*k**2 + 0*k**2 + 2*k**2)*(19*k**3 + 3*k**3 - 9*k**3).
104*k**5
Expand (-6*r**3 + 4*r**3 + r**3)*(5 + 24 - 8)*(-5 + 3 + 3).
-21*r**3
Expand (5*p - 2*p + 6*p)*(5229*p - 5229*p + 54*p**3).
486*p**4
Expand (2 - 1 + 1)*(1 + 4 + 0)*(0*w - 4*w + w).
-30*w
Expand (6 + 5 + 0)*(-68*j**2 - 365*j + 365*j).
-748*j**2
Expand (13*i - 30*i - 10 + 20*i)*(0*i + 0*i - i**2).
-3*i**3 + 10*i**2
Expand (-4 + 9 + 2)*(4*p**3 - p**3 - 5*p**3)*(9 - 11 - 16).
252*p**3
Expand (-31*g**3 + 6*g**3 - 31*g**3 - 2*g**2)*(17*g**2 - g**2 + g**2).
-952*g**5 - 34*g**4
Expand (11*k**2 - 3*k**3 - 11*k**2)*((3*k - 4*k - k)*(1 + 2 - 1) - 2*k + 0*k + k + 0 - 2*k + 0).
21*k**4
Expand (3 - 3 - 2*v)*(158 + 112 - 216).
-108*v
Expand (-8140*f + 462*f**2 + 8140*f)*(1 + 1 + 0).
924*f**2
Expand (-2*t**3 + 4*t**3 - 3*t**3)*((-3 + 3 + 2*t)*(-4*t + t + t) - 9*t**2 - 107*t**2 - 36*t**2).
156*t**5
Expand (0 + 1 + 0)*(0*a**2 + a**4 + 0*a**2) - 22*a**4 + 5*a**4 + 6*a**4 - 10*a**4.
-20*a**4
Expand (0*o - o - o)*(-3*o + 4 - 4) + 15*o**2 - 11*o**2 - 29*o**2.
-19*o**2
Expand -818*u**2 + 393*u**2 - u + 405*u**2 + (-2*u + 4*u - u)*(2*u - 1 + 1).
-18*u**2 - u
Expand 3*v**2 + 4*v**2 - 5*v**2 + (2*v - 4*v + 4*v)*(-2*v + 0*v + 3*v) + 150*v**2 - 523*v**2 + 2093*v**2.
1724*v**2
Expand (16*s - 10*s + 20*s)*(-6 + 4*s - 1 + 6 + s**2).
26*s**3 + 104*s**2 - 26*s
Expand -2*f**3 + 2*f**3 - 2*f**5 + (3*f**4 + 0 + 0)*(15*f - 4*f + f) - 4*f**5 + 5*f**5 + 3*f**5.
38*f**5
Expand (14*z**2 - 16 + 16)*(-3*z**3 + 3*z**3 - 2*z**3) + (-4*z**4 + z**4 + 0*z**4)*(3 - 3 + z) - 3*z**5 - 3*z**5 + 4*z**5.
-33*z**5
Expand (9*n**3 - 11*n**3 - 9*n**3)*(2*n + 0 + 0) + 0*n**3 - 2*n**4 + 0*n**3.
-24*n**4
Expand (-5 - 24 + 8)*(5*k**4 + 14*k**4 - 4*k**4).
-315*k**4
Expand f - f - f + (-f + 0 + 0)*(-1 - 4 + 3) + 22 + 40 + 2*f + 452.
3*f + 514
Expand (-35*l - 25*l + 6*l)*(6*l + 0*l + 8*l).
-756*l**2
Expand (82*q + 103*q + 30*q + 37*q)*(2*q - 3*q + 3*q).
504*q**2
Expand (4*t - 4*t + t)*(0*t + 4*t - 2*t) + t**2 - t**2 + t**2 + 22*t**2 - 145 + 145 + (0*t + 0*t + 2*t)*(7*t + 11 - 11).
39*t**2
Expand (3 - 3 + 2*m)*(-3*m**2 + 12 - 12) - 21 | {
"pile_set_name": "DM Mathematics"
} |
122. Let d be o(-31). Determine w(d).
-12
Let s(t) be the first derivative of -t**4/4 - t**3/3 - 5*t**2/2 - 11*t - 27. Let f be s(-2). Let p(i) = -i**2 + 2*i + 3. What is p(f)?
0
Let f(d) = -2*d**3 - 170*d**2 - 166*d + 164. Let o be f(-84). Let u(l) = -l**2 - 2*l + 9. Calculate u(o).
1
Suppose -6*g - 4 = -10. Let q(c) = 0*c + 22*c - 2*c. Determine q(g).
20
Let n = -945 + 945. Let m(v) be the third derivative of v**4/24 - v**3/6 - 11*v**2. Calculate m(n).
-1
Let n(x) = 2*x**3 - 36*x**2 + 2. Let f be n(18). Let w be f*1/(-1 + -1 + 0). Let a(j) = 3*j. Give a(w).
-3
Let z(r) = -4*r + 48. Let s be z(10). Let t(q) = -6*q**2 + s - q**2 + 6*q**2 - 6*q. Let m(l) = l**3 - 6. Let p be m(0). Determine t(p).
8
Let o(r) be the first derivative of 0*r**5 - 23 - 1/24*r**4 + 0*r - 1/6*r**3 + 7*r**2 + 1/20*r**6. Let h(t) be the second derivative of o(t). What is h(-1)?
-6
Suppose -312 = 11*t - 950. Suppose -48 = -t*r + 64*r. Let a(f) = -1 + 0 - 3 - f. What is a(r)?
4
Let r(o) = 6*o - 3. Suppose 0 = 9*x + 5*x - 42. Suppose 2*s - a + 192 = -6*a, -x*s = -a + 305. Let p = 104 + s. Give r(p).
15
Let o(a) = -5*a - 6. Let p(j) be the first derivative of -j**4/4 - 4*j**3/3 + 3*j + 60. Let q be p(-3). Give o(q).
24
Let o(x) = 4*x**2 - 3*x**3 - x**2 - 7*x**2 + 97 - x - 103. Let b be o(-2). Let u(j) = 3*j**3 + 7 - j - 2 - 2*j**3 - 5*j**2. Give u(b).
-15
Let f(y) be the second derivative of y**5/20 + y**3/6 + 3*y**2 - 770*y. Determine f(0).
6
Let r(b) = b**3 - 8*b**2 + 5. Let p = 64 + -61. Let f(a) = -24*a**3 - 21*a**3 - 3*a**2 + a + 44*a**p + a. Let s be f(-4). Give r(s).
5
Let n(l) be the third derivative of l**6/720 + l**5/24 - 13*l**4/2 + 72*l**2 + 1. Let g(s) be the second derivative of n(s). Give g(-11).
-6
Let h(a) = 63 - 127 - 20*a + 80. Give h(1).
-4
Let q(d) = -d**3 - 7*d**2 + 4*d - 12. Let v(s) = -6*s**3 - 9*s**2 - s + 9. Let m be v(1). Determine q(m).
-40
Let y(x) = -x - 1. Let u be 3 - (1 - -2 - 1). Let t(f) = -f**2 + 8*f + 5. Let d(p) = 2*p. Let s(h) = -3*d(h) + t(h). Let v(m) = u*s(m) + 3*y(m). Calculate v(2).
-4
Suppose 0 = r - 2, -3*c - 2*c - 5*r + 20 = 0. Suppose c*s = -3*x + 6, -3 = -3*s - 5*x + 6. Suppose -7*t = -s*t. Let b(j) = -j**2 + j + 16. Give b(t).
16
Let o(y) = -2*y - 299. Let x(n) = -2*n - 230. Let d(i) = -3*o(i) + 4*x(i). Let t be -10*1/(4 + -3). Determine d(t).
-3
Let b(c) be the second derivative of c**4/4 - 8*c**3/3 + 13*c**2/2 + 36*c - 2. Let s(i) = -4*i**2 + 24*i - 19. Let o(w) = -7*b(w) - 5*s(w). What is o(-9)?
-5
Let q(j) = j + 8. Let p(u) = 2*u + 2. Let m be p(2). Let t be 3 - 4/m*12. Let c(n) = -1. Let d(x) = t*c(x) - q(x). Give d(-5).
2
Let i(z) = -323*z**2 + 19*z - 16. Let l(n) = -1130*n**2 + 57*n - 49. Let h(q) = 7*i(q) - 2*l(q). Suppose -19 = -3*p + 35. Calculate h(p).
4
Let m(x) = -5*x**2 - 5 + 5 - x. Let o be m(-1). Let l(k) be the first derivative of -k**4/4 - 4*k**3/3 + k**2/2 + 544. Give l(o).
-4
Let z(i) = -i**3 + 10*i**2 + 11. Let x be z(10). Suppose -6*k = -19 - x. Let u(p) be the first derivative of p**3/3 - 3*p**2/2 - 6*p - 817. Calculate u(k).
4
Let p(c) be the second derivative of 52*c - 6*c**2 + 1/12*c**4 - c**3 + 0. Determine p(7).
-5
Suppose -19 = 3*x - m, 2*x + 6 = -0*x + 2*m. Let s(f) = -f**3 - 8*f**2 - 8*f - 86. What is s(x)?
-22
Let n(g) = g**2 + 3*g + 11. Suppose -165 = 21*y + 12*y. Let o(t) = -t**2 - 4*t - 11. Let p(v) = y*o(v) - 4*n(v). What is p(-5)?
-4
Let g(l) = -5*l**2 - 14*l - 1. Let v(h) = -22*h**2 - 58*h - 4. Let i(s) = 9*g(s) - 2*v(s). Let c be (-8)/(48/(-54))*-1*1. What is i(c)?
8
Let t(z) = 2*z + 5. Let r be (-1)/2*(-38 + 4 + 0). Let n = r - 23. Give t(n).
-7
Let r(g) = -g**3 + 22*g**2 + 84*g + 34. Let c(v) = -2*v**3 + 46*v**2 + 184*v + 68. Let m(z) = -6*c(z) + 13*r(z). Give m(8).
66
Let i(t) = 3*t**2 + 18*t + 10. Let r be i(-6). Let v(o) = o - 4. Let k(l) = -l**3 + 9*l**2 + 12*l - 3. Let d(s) = -k(s) + 3*v(s). Give d(r).
1
Let k(j) = -j - 1. Suppose a - 2 = 1. Let x(r) = -r**3 - 3 - r**3 - 11*r + 12*r**2 + r**a - r**2. Let l(u) = -2*k(u) + x(u). Give l(10).
9
Let v(z) be the first derivative of z**2/2 + 2*z + 218. Suppose -11*i = -5*i - 30. Suppose -2*s + 24 = -i*s. Calculate v(s).
-6
Let x(d) = -6*d + 15. Let v(q) be the first derivative of 5*q**2/2 - 16*q - 6. Let s(f) = -5*v(f) - 4*x(f). Let w = -32 - -32. Determine s(w).
20
Let l(q) be the first derivative of -q**4/4 - 13*q**3/3 - 8*q**2 - 17*q + 1170. Give l(-12).
31
Suppose 3*u + u + 35 = -3*y, -15 = 5*u - 2*y. Let a = 253 + -251. Let q(c) = 4 + 55*c + 3*c**a - 45*c - 2*c**2. Give q(u).
-21
Let a(x) = -1471345*x**3 + 2*x + 2*x**2 - 4*x**2 + 735668*x**3 + 735681*x**3 - 1. Let h = 10 + -6. Suppose 5*t + n = 2, h*n - 2*n + 4 = -2*t. Determine a(t).
3
Let u(a) = 6*a - 7. Let f(w) = w**2 - 35*w - 6. Let q be f(0). Determine u(q).
-43
Let d = 6 + 3. Let y = -1 + d. Let n(b) = b**3 - 2*b**2. Let p(j) = 3*j**3 - j. Let z(h) = -4*n(h) + p(h). Give z(y).
-8
Suppose -11 = -2*w + d, -4*d = -155*w + 150*w + 20. Let k(j) = j**3 - 9*j**2 + 8*j + 3. Determine k(w).
3
Let r(a) = -a**3 - 2*a**2 + 11 - 8*a - 6*a**2 - 4. Suppose -51 = -4*u - 5*l, -l = -4*u + 39 + 42. Let h(j) = 2*j**2 - 37*j - 26. Let o be h(u). Give r(o).
14
Suppose -4*w + z - 4098 = 15491, 0 = -3*z + 15. Let m be w/112 + (-2)/7. Let a = -49 - m. Let s(t) = -3*t - 1. Calculate s(a).
14
Let x(o) = o**2 - 6*o + 10. Let i be x(4). Suppose i = -c + 9. Let v(d) = -c - 28*d - 1 + 29*d. Determine v(8).
0
Let c = -6 + 9. Let r be c/(-9)*0 + 1. Let a(m) = -4*m**3 + 9*m**2 + 2*m. Let z(w) = 25*w**3 - 51*w**2 - 11*w. Let v(j) = 17*a(j) + 3*z(j). Calculate v(r).
8
Let f(v) be the second derivative of -v**3/3 + 31*v**2/2 - 169*v. Give f(20).
-9
Let i(m) = -93*m - 127. Let f(w) = -54*w - 63. Let r(g) = 7*f(g) - 4*i(g). Calculate r(4).
43
Let f be (-14)/(84/(-15))*-2. Let w(c) = 10*c + 26. Calculate w(f).
-24
Let a(h) = -3*h - 5 + 4 - 9 + 4*h. Suppose -119*v = -110*v + 3240. Let q = v + 368. Calculate a(q).
-2
Let x = 2496 + -2490. Let o(j) = -j**2 + 11*j - 30. Give o(x).
0
Suppose 2*c + 201 + 69 = -2*v, -v + 699 = -5*c. Let n = -130 - c. Let u(o) = -o + 18. Calculate u(n).
9
Suppose -87*i - 51*i = 690. Let a(t) = -t**3 - 6*t**2 + 3*t + 52. Determine a(i).
12
Let n(d) be the third derivative of -d**4/6 - 13*d**3/3 - 5*d**2 + 48*d. Let z = -20 + 13. Let t be n(z). Let j(v) = -3*v**3 - 2*v - 1. What is j(t)?
-29
Suppose -3*q + 13 - 7 = 5*f, 3*f = 4*q - 37. Let a(m) = 19 + q*m + m - 22 + 0*m. Give a(3).
21
Let b(y) be the third derivative of 0 - 1/60*y**5 - 1/8*y**4 - 57*y + y**2 + 0*y**3. Calculate b(-1).
2
Let l(b) be the third derivative of -b**6/240 + b**5/15 - 169*b**4/24 + 27*b**2 + 2. Let j(n) be the second derivative of l(n). Calculate j(11).
-25
Suppose -i + 6 = 4*d - 1, 3 = 2*d + i. Let x(h) = -5 + 8*h**2 - 2 - h**3 + d - 5*h. Suppose 0 = -5*c + 19 + 16. What is x(c)?
9
Let p(a) = -a**2 - 3*a - 4. Let s = 44 - 42. Let z be (-1)/((-1)/(-15)) + s. Let q(d) = -d**3 - 13*d**2 + d + 8. Let i be q(z). Calculate p(i).
-14
Let j(y) = -2*y - 83. Let m(r) = -4*r - 83. Let c(i) = -6*j(i) + 5*m(i). Let p be c(10). Let x(t) = t**2 - 3*t + 3. Give x(p).
3
Let u(f) = f**2 - 8*f + 7. Let p(m) = -m - 4 + 4 + 0 + 5. Suppose -5*o = t - 5, t + 4*o - 4 = 2*t. Let k be p(t). Give u(k).
-8
Suppose -9*i - 6*i = -975. Let q(w) = 57 - i - w**3 - 7*w**2 + 8*w + w. What is q(-8)?
-16
Let v(u) = -4*u - 45. Let h = -35951 + 35938. Determine v(h).
7
Let k be (-30)/8*(-172)/215 + 14. Let d(u) = -u**3 + 16*u**2 + 14*u - 1. Give d(k).
-52
Let i(u) = 4125*u + 2 + 4135*u - 8242*u. Calculate i(-2).
-34
Let i(d) = 177 - 60 + 777*d - 1485*d + d**2 + 742*d. What is i(-4)?
-3
Let w(x) = -x**2 - 24*x - 141. Let r be w(-12). Let q(u) = -u**3 + 4*u**2 + 34*u - 106. Determine q(r).
5
Let p be (450/750)/((-3)/(-65)). Let l(w) = -w**3 + 12*w**2 + 13*w - 1. Determine l(p).
-1
Let q(g) be the third derivative of 0 - 1/24*g**4 + 0*g**3 + 0*g - 299*g**2. What is q(-4)?
4
Let z(a) = 48*a + 3068. Let r be z(-64). Suppose -10 = -5*w - 0. Let u(g) = g + 3 - w + 4. What is u(r)?
1
Let r(k) = k - 5. Let t = 876 - 874. Suppose -4*p + 8 = -t*s, 3*s - 3*p = -8*p - 1. Give r(s).
-7
Suppose -v = -3*a - 9, 413*v - 4*a = 408*v + 144. Let f(q) = -q**2 + 45*q - 315. Give f(v).
9
Let t(c) = 22965*c**2 + 12 - 11484*c**2 - 11482*c**2 - 8*c. Let l = 0 + -9. What is | {
"pile_set_name": "DM Mathematics"
} |
*2 + 255*f - 9607. Determine n(46).
7
Let x(d) = d**3 + 49*d**2 + 27*d + 18. Determine x(-48).
1026
Let o(a) = -104*a - 2824. What is o(-27)?
-16
Let r(c) = -7*c**2 + 30*c - 62. Calculate r(2).
-30
Let u(y) = 16*y**2 + 3*y - 8. What is u(-2)?
50
Let x(d) = 7*d**2 - 80*d - 38. What is x(13)?
105
Let u(x) = 21*x - 2381. Give u(114).
13
Let h(x) = 21*x + 900. Calculate h(-40).
60
Let o(x) = 2*x**2 + 22*x + 10. Give o(-7).
-46
Let i(q) = -1336*q - 3993. Give i(-3).
15
Let g(h) = -21*h**2 - 17*h + 3. Determine g(-6).
-651
Let a(j) = -6029*j - 12052. Calculate a(-2).
6
Let o(d) = 10*d - 770. Give o(77).
0
Let k(t) = -4*t**3 - 3*t**2 - 4*t - 1. Calculate k(-2).
27
Let d(v) = -11*v + 183. What is d(15)?
18
Let s(j) = 10*j - 102. Give s(12).
18
Let v(u) = u**2 + 449*u + 3910. Give v(-9).
-50
Let t(b) = 8*b**2 + 216*b + 83. Give t(-26).
-125
Let j(s) = -7*s - 31. Give j(2).
-45
Let j(d) = 35*d**3 + 3*d**2 - 27*d - 60. What is j(-2)?
-274
Let q(t) = 6*t**2 - 5*t - 2. Determine q(1).
-1
Let h(w) = -w**3 - w**2 + 35*w + 24. Calculate h(7).
-123
Let u(z) = -z**3 + 9*z - 5. Calculate u(4).
-33
Let w(t) = -t**2 - 139*t - 526. Determine w(-4).
14
Let i(u) = -u**3 + 2*u**2 + 10*u - 83. What is i(6)?
-167
Let n(q) = 2*q**2 + 64. Calculate n(9).
226
Let g(r) = -8*r**2 + 38*r + 118. Calculate g(-3).
-68
Let f(g) = -2*g**3 + 40*g**2 + 50*g + 33. Give f(21).
201
Let n(z) = -z**2 + z + 365. Determine n(17).
93
Let x(v) = 319*v + 3565. Calculate x(-11).
56
Let k(v) = 4*v**2 + 37*v + 33. Determine k(-1).
0
Let k(u) = -11*u - 119. Determine k(-11).
2
Let c(k) = 3*k**3 - 38*k**2 - 61*k + 49. Give c(14).
-21
Let q(m) = 2*m**3 - 2*m**2 + 10*m - 27. Calculate q(3).
39
Let b(c) = 37*c**2 - 27*c - 88. Give b(-3).
326
Let t(x) = -x**2 - 33*x - 103. Determine t(-14).
163
Let o(u) = u**3 - 11*u**2 + 4*u - 29. Give o(7).
-197
Let h(a) = 2*a**3 + 3*a**2 - 820*a - 18. What is h(-21)?
3
Let d(g) = -2*g - 16. What is d(-3)?
-10
Let l(h) = 6*h**3 + h**2 + 2*h + 3. Give l(-1).
-4
Let g(j) = 124*j - 367. Calculate g(3).
5
Let j(v) = -v**3 + 18*v**2 - 10*v - 60. Give j(17).
59
Let i(f) = -11*f**3 + 10. What is i(-2)?
98
Let u(r) = -1563*r - 40640. Determine u(-26).
-2
Let j(v) = 2*v**2 - 2*v + 7. Calculate j(0).
7
Let z(r) = -135*r - 1072. Give z(-8).
8
Let o(z) = -90*z**3 + 3*z**2 + 21*z + 35. Calculate o(-2).
725
Let j(i) = 32922*i + 131683. Determine j(-4).
-5
Let z(d) = -d**3 - 61*d**2 - 227*d + 44. Determine z(-57).
-13
Let n(m) = -7*m**3 + 6*m - 15. Calculate n(3).
-186
Let d(f) = 61*f - 1592. Give d(26).
-6
Let h(d) = -2*d**2 + 522*d - 3569. Calculate h(7).
-13
Let a(z) = -3*z - 46. Calculate a(-14).
-4
Let j(p) = 2*p**3 + 9*p**2 + 7*p + 139. Determine j(-6).
-11
Let g(f) = -f**2 + 89*f + 325. What is g(-4)?
-47
Let r(i) = -8*i**2 + 122. Determine r(4).
-6
Let v(n) = -786*n - 1567. Calculate v(-2).
5
Let k(n) = -n**2 - 134*n. Give k(0).
0
Let o(j) = j**3 - 19*j**2 + 96*j - 25. Calculate o(8).
39
Let d(y) = 18*y**2 - 775*y + 45. What is d(43)?
2
Let u(c) = -12*c**2 + 353*c - 137. Give u(29).
8
Let b(z) = 25*z**2 - 500*z + 34. Give b(20).
34
Let y(c) = -c**2 - 33*c + 1062. Calculate y(-53).
2
Let v(r) = -r**3 + 60*r**2 - 820*r + 34. What is v(39)?
-5
Let k(t) = t**3 + 20*t**2 + 35*t - 54. Calculate k(-18).
-36
Let o(j) = j**2 + 21*j - 341. Calculate o(13).
101
Let w(a) = a**2 - 62*a + 791. Determine w(18).
-1
Let v(k) = 9*k - 1265. What is v(140)?
-5
Let t(q) = q**3 + 7*q**2 - 117*q - 802. Give t(-11).
1
Let o(n) = 4*n**3 - 3*n**2 - 6*n - 9. Give o(-2).
-41
Let w(l) = -l**3 - 34*l**2 - 51*l + 121. Determine w(-32).
-295
Let v(x) = -2*x**3 + 9*x**2 - 503*x + 2551. Calculate v(5).
11
Let j(n) = -37*n**2 + 407*n - 5. Give j(11).
-5
Let m(f) = -161*f**2 - 1291*f - 17. What is m(-8)?
7
Let j(t) = -t**3 + t**2 + 13*t - 44. Determine j(-6).
130
Let b(g) = g**3 + 30*g**2 - 9*g - 275. What is b(-30)?
-5
Let h(i) = i**3 + 14*i**2 - 42*i - 72. What is h(-16)?
88
Let j(w) = 53*w + 1528. Give j(-29).
-9
Let h(q) = -34*q**2 + 1573*q - 409. Determine h(46).
5
Let t(s) = s**2 - 24658. What is t(-157)?
-9
Let q(z) = -z**3 + 67*z**2 - 9*z - 4. Calculate q(0).
-4
Let t(y) = y**3 + 15*y**2 + 34*y + 102. Calculate t(-13).
-2
Let a(s) = -590*s + 66676. Calculate a(113).
6
Let q(b) = -2*b**3 - 52*b**2 + 58*b + 314. Give q(-2).
6
Let k(q) = 2*q**2 + 327*q + 10801. Give k(-46).
-9
Let b(l) = 49*l + 2646. What is b(-54)?
0
Let z(u) = -4*u**2 + 2*u - 4. Determine z(0).
-4
Let p(v) = v**3 + 38*v**2 + 107*v + 48. Give p(-35).
-22
Let q(i) = i**3 + 25*i**2 + 50*i + 45. Give q(-24).
-579
Let b(u) = -2*u**2 + 63*u - 122. What is b(28)?
74
Let i(g) = -g + 19. What is i(-17)?
36
Let a(g) = -229*g**2 - 1150*g - 23. Give a(-5).
2
Let w(y) = -12*y**2 - 30*y + 4. Give w(-3).
-14
Let z(p) = 8*p**2 + 9*p - 20. Give z(-5).
135
Let q(u) = -63*u + 8081. Determine q(128).
17
Let x(m) = -m**3 - 63*m**2 + 9720*m - 4. Determine x(-135).
-4
Let n(y) = 2*y**3 + 12*y**2 + 2*y + 19. Give n(-6).
7
Let n(x) = x**3 - 152*x**2 - 147*x - 910. Give n(153).
8
Let g(q) = 162*q - 5995. Determine g(37).
-1
Let s(o) = 933*o - 942. What is s(1)?
-9
Let n(m) = 423*m - 29604. Calculate n(70).
6
Let n(q) = -q**3 - 24*q**2 + 58*q - 6. Determine n(-26).
-162
Let z(b) = -822*b + 14820. Calculate z(18).
24
Let p(g) = 29*g**2 + 268*g + 22. What is p(-9)?
-41
Let k(w) = -809*w - 7153. What is k(-9)?
128
Let v(w) = -w**3 - 26*w**2 - 49*w + 53. Give v(-24).
77
Let q(y) = 85*y - 682. What is q(7)?
-87
Let f(m) = -6604*m + 33004. Determine f(5).
-16
Let y(b) = b**3 - 22*b**2 - 149*b + 8. What is y(27)?
-370
Let r(t) = -2*t**3 - 161*t**2 + 661*t + 27. Give r(4).
-33
Let h(k) = -k**3 + 73*k**2 - 83*k + 793. Calculate h(72).
1
Let b(u) = -u**3 - 63*u**2 + 137*u - 217. What is b(-65)?
-672
Let x(b) = b**2 + 58*b - 379. Give x(6).
5
Let t(r) = -567*r - 59539. Determine t(-105).
-4
Let x(l) = 7721*l + 15448. Determine x(-2).
6
Let v(u) = 10*u**3 - 151*u**2 + 17*u - 46. Give v(15).
-16
Let f(z) = 36*z - 729. Calculate f(17).
-117
Let z(y) = 494*y + 15361. Determine z(-31).
47
Let f(x) = -x**3 + 7*x**2 + 22*x - 29. Calculate f(9).
7
Let q(g) = 2*g**3 - 38*g**2 + 19*g - 123. What is q(19)?
238
Let k(b) = 3*b**3 + 17*b**2 + 49*b + 208. Calculate k(-5).
13
Let f(z) = 51*z - 146. Determine f(7).
211
Let t(m) = m**3 + 81*m**2 + 168*m + 783. Calculate t(-79).
-7
Let a(j) = 4*j**2 + 52*j - 61. Give a(-14).
-5
Let g(c) = c**3 - 21*c**2 + 11*c + 521. Calculate g(19).
8
Let b(c) = -c**2 + 121*c + 204724. Give b(-396).
-8
Let t(a) = 19*a**2 - 44*a - 271. Determine t(-5).
424
Let o(c) = -268*c - 104512. What is o(-390)?
8
Let j(t) = -2*t**2 + 315*t - 463. Give j(156).
5
Let l(q) = 2*q**3 + 2*q**2 - 44*q + 22. Determine l(5).
102
Let b(g) = -1798*g - 48546. Calculate b(-27).
0
Let h(t) = -t**3 - 107*t**2 + 216*t - 220. Calculate h(-109).
-2
Let a(p) = -68*p - 5. What is a(1)?
-73
Let b(h) = -h - 1120. Give b(44).
-1164
Let z(b) = 9*b - 62. Calculate z(3).
-35
Let m(k) = -3*k**2 - k + 57. Determine m(6).
-57
Let v(o) = -54*o - 50. What is v(-2)?
58
Let r(g) = g**3 - 80*g**2 - 179*g + 1234. What is r(82)?
4
Let n(d) = 8*d**3 + 5*d**2 - 19*d - 52. What is n(-2)?
-58
Let a(v) = 26*v**2 + 88*v - 68. Calculate a(-4).
-4
Let r(p) = -16*p**2 + 35*p - 70. Calculate r(2).
-64
Let n(m) = 81*m + 426. Give n(-7).
-141
Let o(r) = r**3 - 59*r**2 + 449*r + 66. Calculate o(50).
16
Let a(h) = 75*h + 16. What is a(2)?
166
Let r(a) = a**2 - 12*a - 87. What is r(-4)?
-23
Let i(w) = 353*w - 1426. Calculate i(4).
-14
Let q(y) = -50*y + 3651. What is q(73)?
1
Let w(q) = 252*q + 3770. Give w(-15).
-10
Let b(h) = -260*h + 4182. What is b(16)?
22
Let m(z) = 2*z**3 - 36*z**2 + 31*z + 65. What is m(17)?
14
Let c(b) = 2*b**3 - 34*b**2 + 20*b - 340. Give c(17).
0
Let d(l) = -88*l + 41. Calculate d(-5).
481
Let z(f) = f**3 + 35*f**2 + 34*f + 1086. Calculate z(-35).
-104
Let z(h) = -5*h**3 - 4*h**2 + 14*h - 3. What is z(4)?
-331
Let j(y) = y**2 - 107*y + 1565. What is j(21)?
-241
Let v(y) = -y**2 - 40*y + 182. Determine v(-35).
357
Let c(o) = o**3 + 10*o**2 - 264*o + 83. Give c(-22).
83
Let i(u) = 1444*u + 11551. Calculate i(-8).
-1
Let w(d) = -228*d + 5014. Give w(22).
-2
Let r(n) = 26*n**2 - 14*n - 36. Determine r(-2).
96
Let c(p) = -299*p + 7535. Give c(24).
359
Let p(w) = -51*w + 1757. Calculate p(30) | {
"pile_set_name": "DM Mathematics"
} |
ple of 10?
True
Is 5/15 - 231/(-9) a multiple of 26?
True
Let s be (3/6)/((-6)/(-12)). Let p be (0/(-2) + 4)*1. Suppose -y + u = -p*u + 5, y - 3*u = -s. Is y a multiple of 4?
False
Let p = 174 + -120. Is p/8 - (-12)/(-16) a multiple of 6?
True
Let r(d) = 5*d**2 - 6*d + 2. Does 11 divide r(3)?
False
Suppose 5*q = -2*x + q + 164, -3*x + 256 = -4*q. Is 12 a factor of x?
True
Let w = 48 + -138. Does 15 divide (12/(-10))/(3/w)?
False
Suppose 5*z - 3*z = 58. Is z a multiple of 23?
False
Let k(g) = g - 6. Suppose x + 5*d + 10 + 2 = 0, 4*d + 24 = x. Is k(x) a multiple of 2?
True
Let b be -3 + (0 - -1) - 2. Let x = -2 - b. Does 11 divide 44/x + 0 - 0?
True
Suppose n = 2*z - 22, 9 - 3 = 3*n. Does 4 divide z?
True
Let t be 23/7 - (-10)/(-35). Suppose -2*l = -t*l + 2. Suppose -4 + 6 = l*q, 0 = -5*s + q + 49. Is s a multiple of 10?
True
Let w = -436 + 788. Is w a multiple of 44?
True
Let z(o) = -15*o + 4. Let w(u) = 15*u - 3. Let s(k) = -5*w(k) - 4*z(k). Let f be s(-2). Suppose 5*t + 3*g - 2*g - 53 = 0, -3*g + f = 2*t. Does 7 divide t?
False
Let w(t) = t**2 + 7*t + 3. Let o be w(-7). Suppose -p - 18 = -o*y, 5*p = -y + 1 + 5. Suppose -2*v - 132 = -y*v. Does 12 divide v?
False
Does 11 divide 21/1 - (3 + -1)?
False
Suppose -12*u + 201 + 39 = 0. Is u a multiple of 20?
True
Suppose -3*q + 934 - 142 = 0. Is 44 a factor of q?
True
Let v be 8 + -2 + (-2 - 0). Suppose 5*b - 321 = -4*x - 91, -232 = -4*x - v*b. Is x a multiple of 25?
False
Let w = 29 + -15. Is w even?
True
Let z be 1 - 0 - 2/2. Suppose 2*l = -3*a, z = -0*l + 3*l - 4*a. Suppose -2*x = -l*x - 2*k - 46, -3 = 3*k. Does 11 divide x?
True
Let h = 295 - 202. Let p = -4 + h. Suppose -3*v - c = -p, -2*v - 4*c + 63 = -7*c. Does 15 divide v?
True
Let u(v) = -v**2 - 6*v - 6. Let y be u(7). Let r = 137 + y. Is 12 a factor of r?
False
Suppose 0 = 3*k + 3 - 30. Let y = 26 - k. Does 17 divide y?
True
Let s(p) = p**3 + 4*p**2 - 6*p. Is s(-5) a multiple of 5?
True
Suppose 0 = 29*d - 27*d - 438. Is d a multiple of 13?
False
Let a(k) = -k**2 - 25*k. Is a(-12) a multiple of 39?
True
Suppose 5*a - 21 = -2*a. Suppose 0 = -4*p + a*p + 5. Is p a multiple of 5?
True
Suppose r - 12 = -r. Is 6 a factor of r?
True
Let r be 3/(-12) + 61/4. Suppose -k = -4*k + r. Suppose 3*j = -5*c + 83, -3*j + c = -k*j + 67. Does 15 divide j?
False
Let z(p) = p**2 + 2*p - 12. Let c be z(-5). Is 1 + 30 + c + -1 a multiple of 11?
True
Let a be ((-6)/4 + 1)*4. Suppose -13 - 7 = -2*g. Let r = g - a. Is r a multiple of 6?
True
Let q(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2 - 1. Is q(5) a multiple of 5?
True
Let j = -32 + 19. Suppose 3*b - 5*b + 56 = 0. Let u = j + b. Is u a multiple of 6?
False
Let y be ((-10)/(-2))/(-2 - -3). Suppose -2*q + 2*t + 4 = -0*t, -4*t - 8 = 4*q. Suppose q = y*r + 5*x, 4*x = 3*r - 4*r - 15. Does 2 divide r?
False
Let l be (2951/39)/((-2)/(-6)). Suppose -5*z + 2*u - 6*u + 231 = 0, 0 = 5*z + 3*u - l. Is z a multiple of 9?
False
Let y(v) = -v**3 - 15*v**2 + 11*v - 10. Is 14 a factor of y(-16)?
True
Let x(u) = -13*u - 6. Does 26 divide x(-8)?
False
Suppose 117 + 69 = 4*w - z, 3*w + 2*z = 134. Let s be w/14 + (-6)/21. Suppose 85 = -d + 5*d + s*t, -5*d + 107 = 4*t. Does 10 divide d?
False
Let d be 294/8 + (-3)/4. Let r = d - 8. Does 14 divide r?
True
Suppose 672 = 9*v - 2*v. Is 19 a factor of v?
False
Let n = -54 + 66. Is n a multiple of 3?
True
Let t(y) = -y**3 - 6*y**2 - 7*y + 2. Let r be t(-5). Let s = -7 + r. Does 5 divide s?
True
Is (56/42)/((-2)/(-33)) a multiple of 11?
True
Suppose -4*m = 2*h - 23 - 31, -m - 9 = -4*h. Let r be ((-2)/(-4))/(2/(-4)). Let z = r + m. Does 7 divide z?
False
Let t(b) = 7*b - 31. Is t(11) a multiple of 30?
False
Let s(i) = i - 1. Let q be s(2). Let z = q + 3. Suppose z*j = 4*w + 96, 5*w - 56 = -5*j + 74. Does 9 divide j?
False
Let q = -1 - -17. Let j = q + 15. Does 20 divide j?
False
Let f be 3/(1 - 2) + 1. Is 7 a factor of 1/f*(-42 - 0)?
True
Let r(f) = f**3 - 6*f**2 - f - 2. Let c be ((-21)/(-9))/(2/6). Let k be r(c). Suppose -i = l - 15, -5*i + 5*l = -k - 65. Is 18 a factor of i?
True
Suppose 4*o = -2*c + 3*c - 67, 2*c - 3*o - 134 = 0. Suppose q - 47 = 2*b, q + 4*b - b - c = 0. Is q/3 - 2/6 a multiple of 18?
True
Suppose p - 3 = -3*c, -24 = 4*p - 2*p - 4*c. Let z(g) = 3*g**2 + 7*g + 0*g**2 - 2*g**2 + 9. Is z(p) a multiple of 3?
True
Let r(f) be the third derivative of -f**5/60 + 5*f**4/24 + 2*f**3/3 - 3*f**2. Is 5 a factor of r(3)?
True
Is 1*(-4)/(-8)*30 a multiple of 3?
True
Does 6 divide 1/4 + (-99)/(-4)?
False
Suppose 0*c - 2*c = 0. Suppose c*g + 30 = 3*g. Is 10 a factor of g?
True
Let o = -89 - -163. Is 20 a factor of o?
False
Let p = 24 - 13. Is 11 a factor of (p/3)/((-1)/(-3))?
True
Let g(p) = p**3 + 8*p**2 - 9*p + 12. Is 4 a factor of g(-9)?
True
Suppose 2*b = -0*b - 70. Let z = 58 + -83. Let p = z - b. Is 4 a factor of p?
False
Let d(l) = -7*l - 2. Let m be d(-4). Suppose -7*n - 71 = -442. Let j = n - m. Does 27 divide j?
True
Suppose 52 = 5*p - 203. Is 18 a factor of p?
False
Let r(q) = -3*q - 5. Let l be r(-7). Let j be (-4)/(-18) - l/(-9). Suppose -j - 46 = -3*d. Is d a multiple of 8?
True
Suppose f + 0*s - 16 = -4*s, s - 4 = -2*f. Suppose -2*k + f*o + 14 = 3*o, 13 = -3*k + 4*o. Does 8 divide (k + -2)/1*-8?
True
Let w(n) = -n**2 + 5*n - 4. Let p be w(3). Suppose p*m = -m + 33. Let x = m - 7. Does 4 divide x?
True
Let t = -15 + 20. Is t a multiple of 4?
False
Suppose 2*d = -6 + 32. Let z = -6 + d. Suppose -121 = -5*c + 2*h, -c - h = z - 27. Is c a multiple of 9?
False
Let x(c) = 2*c - 7. Is 5 a factor of x(16)?
True
Let q be (-5)/15 + (-64)/6. Let l(g) = g + 14. Is l(q) even?
False
Let v = -17 + 66. Is 4 a factor of (-1 + 0)/((-7)/v)?
False
Let f = -2 - -2. Let h be 5 - ((-3 - f) + 3). Suppose 0*w + 110 = h*w. Does 9 divide w?
False
Suppose -2*g + 128 = 4*k + 2*g, 2*k - 67 = g. Does 7 divide k?
False
Let i = 29 - 4. Does 6 divide i?
False
Let u(q) = -2. Let x(s) = -s - 1. Let l(v) = 4*u(v) - 3*x(v). Is 11 a factor of l(6)?
False
Suppose -3*i - 4*a + 104 = 0, i + 0*a - 24 = -4*a. Suppose -5*p = -p - i. Does 10 divide p?
True
Let a(o) = 3*o + o - 6*o - 3*o + 6. Let q be a(-5). Let d = q + -15. Is d a multiple of 7?
False
Suppose 4*a - 4*w - 16 = -0*w, -2*w + 7 = 3*a. Does 19 divide -2*(a + 0 + -22)?
True
Let p(n) = 15*n + 1. Let y be p(3). Let c = y - 19. Does 9 divide c?
True
Suppose -3*g + 451 = 4*k, g - 18 = -3*k + 319. Suppose k = 4*i + r + 3*r, 5*i - 3*r = 132. Does 9 divide i?
True
Let g(r) = -9*r - 1. Is g(-5) a multiple of 29?
False
Let v(j) = -4 - 2*j**2 - 2*j**2 + j - 2*j**3 - 3*j. Let n be v(-3). Let h = n + -9. Does 4 divide h?
False
Does 15 divide (-1820)/(-21) + 2/6?
False
Let p be 4/18 + 18808/(-72). Is 1/4 - p/12 a multiple of 11?
True
Suppose 5*x + 395 = 3*l, -l + 4*x = -81 - 53. Does 26 divide l?
True
Let k(w) = w**2 + 2*w + 1. Let t be k(-3). Let r = 9 - t. Suppose 5*b = 4*u - 34 + 153, 5*b - 155 = -r*u. Is 12 a factor of b?
False
Let d be 2/8 - (-1779)/(-12). Let v = d + 212. Suppose -2*l + 0*l = -v. Is 16 a factor of l?
True
Suppose -10 = 2*r, 3*f = 3*r + 1 - 40. Let k = f - -26. Is 8 a factor of k?
True
Let d(h) = 12*h - 106. Is 41 a factor of d(17)?
False
Let h(u) = u**3 + 8*u**2 + 0 - 2 + 2 + 5 + 6*u. Let f be h(-7). Suppose -2*t - f = -54. Is t a multiple of 7?
True
Let m(r) = 2*r - 4. Let c be m(6). Let t be (-2)/c + (-23)/4. Does 7 divide (-104)/t - (-2)/(-6)?
False
Let c be 8/44 + (-42)/(-11). Let p be (24/10)/(c/(-40)). Is ((-3)/(-4))/((-3)/p) a multiple of 3?
True
Let v be ((-3)/5)/((-6)/150). Suppose -3*q = -8*q + v. Suppose -2*x - b + 35 = -4, 5*b - 41 = -q*x. Does 11 divide x?
True
Let v = -8 - -80. Does 9 divide v?
True
Suppose -5*m + 71 = 2*t, 9*m - 4*m - 2 = t. Is t a multiple of 19?
False
Suppose h = 4*j + 11, 4*h - 6 = h + 3*j. Let d(k) = k**2 + 1. Let u be d(h). Is (21 - (u - 3))/2 a multiple of 8?
False
Suppose -4*r - 8 = -0*r. Let f(l) = -l + 2. Let y be f(r). Suppose -84 = -5*d - y. Is 8 a factor of d?
True
Let c be 2*114 + 6/(-3). Let p = c + -148. Does 26 divide p?
True
Let y(o) = 18*o**2 - o + 2. Let k be y(2). Suppose b = -b + k. Does 13 divide b?
False
Let k(a) be the first derivative of -a**4/4 - a**3 + 7*a**2/2 - a - 3. Is k(-5) a multiple of 7?
True
Suppose 0 = -l - 2*s - s - 1, -7 = -l + 5*s. Suppose -2*w - 5*g + 1 | {
"pile_set_name": "DM Mathematics"
} |
j(i) = 105*i**4 - 50*i**3 - 90*i**2 + 35*i. Let q(h) = -2*j(h) - 15*k(h). Factor q(l).
5*l*(l - 1)*(l + 1)*(3*l - 1)
Let v(b) be the first derivative of -75*b**3/4 - 15*b**2/2 - b - 1. Factor v(d).
-(15*d + 2)**2/4
Let t(c) be the second derivative of -c**8/20160 + c**7/7560 - c**4/6 - 2*c. Let m(q) be the third derivative of t(q). What is l in m(l) = 0?
0, 1
Let h(u) be the third derivative of -u**7/70 + 3*u**6/20 - 9*u**5/20 + u**4/2 - 9*u**2. Suppose h(b) = 0. Calculate b.
0, 1, 4
Let i(k) be the third derivative of k**6/40 + k**5/4 - 3*k**4/4 - k**2 - 31*k. Suppose i(x) = 0. What is x?
-6, 0, 1
Let n = 2 - -1. Suppose -n = -2*u + 1. Determine z, given that u*z**4 - 2*z**2 - 5*z**2 + 5*z**2 = 0.
-1, 0, 1
Let z(b) be the first derivative of -5*b**4/4 + 15*b**2/2 + 10*b + 9. Factor z(s).
-5*(s - 2)*(s + 1)**2
Let n = -1 - -8. Let k(z) = -13*z**5 - 8*z**4 - 5*z**3 - 5*z. Let q(f) = 19*f**5 + 12*f**4 + 7*f**3 + 7*f. Let u(h) = n*k(h) + 5*q(h). Factor u(m).
4*m**4*(m + 1)
Let z = 5 - 0. Let t(r) = r - 3. Let y be t(z). Suppose 6*v - 2 + 2*v**2 + 4 - y*v = 0. What is v?
-1
Let z be 8/(-14)*(-21)/54. Find m such that -2/9*m**3 + 2/9*m - 2/9*m**2 + z = 0.
-1, 1
Let z be (3 - 0)*(-140)/(-30). Let i be 4/z + 38/14. What is w in 2/3*w**i + 0 - 4/3*w + 2/3*w**2 = 0?
-2, 0, 1
Let z(i) be the second derivative of -i**4/6 - 2*i**3/3 + 8*i**2 + 6*i. Factor z(v).
-2*(v - 2)*(v + 4)
Factor 0 - 1/5*n**2 + 0*n - 1/5*n**3.
-n**2*(n + 1)/5
Let x be (2/3)/((-12)/(-54)). Suppose x*w + 2 = -2*u, -2*u + 0*u = -w + 10. Solve 0 - 2/9*q**w + 4/9*q = 0.
0, 2
Suppose 2*u - u = 4*h - 2, 0 = -u - 5*h + 25. Factor -3*v**3 - v - 6 + u*v + 0*v.
-3*(v - 1)**2*(v + 2)
Let i(z) = -4*z**5 + 20*z**4 - 36*z**3 + 28*z**2 - 8*z + 6. Let r(k) = 1. Let m(p) = i(p) - 6*r(p). Suppose m(n) = 0. Calculate n.
0, 1, 2
Suppose 4*j - 24 = -4*y, -5*j + 20 = -y + 2. Suppose 2/5 + 2*w**4 + 4*w**y + 4*w**3 + 2*w + 2/5*w**5 = 0. Calculate w.
-1
Let x(w) be the first derivative of -w**9/1512 + w**8/600 - w**7/1050 - 5*w**3/3 + 5. Let h(n) be the third derivative of x(n). Factor h(d).
-2*d**3*(d - 1)*(5*d - 2)/5
Let j = 2 - -1. Factor -2*h**2 + j*h + 0 - h**2 + 0.
-3*h*(h - 1)
Let r(a) be the second derivative of 5*a**7/42 + 5*a**6/6 + 9*a**5/4 + 35*a**4/12 + 5*a**3/3 - 16*a. Factor r(d).
5*d*(d + 1)**3*(d + 2)
Let y(w) be the first derivative of -3*w**3 + 27*w**2 - 81*w - 11. Let h(m) = 6*m**2 - 36*m + 54. Let g(f) = -8*h(f) - 5*y(f). Determine p so that g(p) = 0.
3
Let a(d) be the first derivative of 2*d**3/15 - 4*d**2/5 + 8*d/5 - 2. Find n such that a(n) = 0.
2
Let k(p) = -p + 12. Let i be k(13). Let u be (0 + 1 + i)/1. Find t such that u - 2/9*t**4 - 2/9*t**2 + 0*t + 4/9*t**3 = 0.
0, 1
Find j such that -8/7 - 2/7*j**2 + 8/7*j = 0.
2
Let g(o) = -o**2. Let j(t) = 2*t**3 - 2*t - 6. Let i(f) = 6*g(f) - j(f). Determine w so that i(w) = 0.
-3, -1, 1
Factor 0*g**2 + 0 - 1/2*g + 1/2*g**3.
g*(g - 1)*(g + 1)/2
Let m = -13 - -18. Suppose -5*q = m*l, -q = 3*l - 0*l - 6. Factor -2*v**3 + 4*v + 2*v**l - 2*v**3 + 2*v**2.
-2*v*(v - 2)*(v + 1)
Let z(x) be the second derivative of x**9/504 + x**8/420 + x**7/1260 - 3*x**3/2 + 4*x. Let t(k) be the second derivative of z(k). Solve t(f) = 0 for f.
-1/3, 0
Let k(y) be the first derivative of y**6/480 + y**5/80 - y**3/6 - y**2 - 3. Let d(i) be the second derivative of k(i). What is u in d(u) = 0?
-2, 1
Let q(f) be the third derivative of f**8/1680 - f**7/420 + f**5/60 - f**4/24 - 2*f**3/3 - 4*f**2. Let y(k) be the first derivative of q(k). Factor y(d).
(d - 1)**3*(d + 1)
Let a(u) be the first derivative of 0*u**4 - 2/65*u**5 + 0*u**2 - 2/13*u + 4/39*u**3 + 4. Factor a(c).
-2*(c - 1)**2*(c + 1)**2/13
Suppose 0 = 6*r - 10*r + 8. Let t(h) = -2*h - 1. Let u be t(-2). What is o in -u*o + 3*o**2 - 3*o**r - 3*o**2 = 0?
-1, 0
Let w(t) be the third derivative of -5*t**8/336 + t**6/12 - 5*t**4/24 + 5*t**2. Factor w(p).
-5*p*(p - 1)**2*(p + 1)**2
Let v(o) be the first derivative of o**6/27 + 14*o**5/45 + o**4 + 40*o**3/27 + 8*o**2/9 + 3. Determine t so that v(t) = 0.
-2, -1, 0
Let x = -2/15 - -4/5. Factor -2/3*r + 0 + 0*r**2 + x*r**3.
2*r*(r - 1)*(r + 1)/3
Let m(h) = 5*h + 5*h + h + 8 - 3*h + 6*h**2. Let q(v) = -11*v**2 - 16*v - 16. Let t be (3 + 1)*(0 + -1). Let c(k) = t*q(k) - 7*m(k). Factor c(n).
2*(n + 2)**2
Let b(q) be the first derivative of 100*q**3/3 + 60*q**2 + 36*q - 11. Find s, given that b(s) = 0.
-3/5
Let g be 4/8*-4 + -5. Let s = 7 + g. Solve -1/5*n**3 + s - 4/5*n**2 + 4/5*n**4 + 1/5*n = 0 for n.
-1, 0, 1/4, 1
Let m(a) be the second derivative of 1/12*a**4 + a + 1/60*a**5 + 0*a**2 + 0 + 1/9*a**3. What is d in m(d) = 0?
-2, -1, 0
Suppose 0*n - 5*n = -25. Determine x so that 0*x + 4*x - 5*x + n*x + 2*x**2 = 0.
-2, 0
Suppose -11*y - 6 = -13*y. Let p(f) be the second derivative of 0 + f + 0*f**2 + 1/105*f**6 - 1/42*f**4 + 1/21*f**y - 1/70*f**5. Determine d so that p(d) = 0.
-1, 0, 1
Let l = 51/305 + 2/61. Factor -1/5*f**5 + 2/5*f**4 + l*f + 0 - 2/5*f**2 + 0*f**3.
-f*(f - 1)**3*(f + 1)/5
Suppose 0 = 2*n + n. Let j = 479 + -479. Factor j*y**3 - 2/9*y**4 + 2/9*y**2 + n*y + 0.
-2*y**2*(y - 1)*(y + 1)/9
Let d(w) = -2*w**2 - 5*w. Let f(p) = 0 - 2 + p + 2. Let r(k) = 2*d(k) + 6*f(k). Factor r(m).
-4*m*(m + 1)
Determine s, given that 2/7*s**2 + 32/7 + 16/7*s = 0.
-4
Let a(g) be the second derivative of -g**7/294 - g**6/105 + g**4/42 + g**3/42 + 30*g. Find z, given that a(z) = 0.
-1, 0, 1
Factor -50 + 50 + 3*w**2 - 3*w.
3*w*(w - 1)
Let n be 364/(-189) - -2*1. Let p = n + 23/54. Factor 1/4*k**2 + 1/4 + p*k.
(k + 1)**2/4
Let z(i) be the second derivative of -i**5/70 - i**4/42 + 2*i**3/21 - 2*i. Determine j, given that z(j) = 0.
-2, 0, 1
Let u be 27/15 - 3/(-15). Suppose -o**4 - 2*o - 2*o**3 - o**5 + 2*o**u + 5*o + 1 - 2*o**4 = 0. Calculate o.
-1, 1
Suppose 0 = 2*b - 5*o + 4 + 3, -2*b - 4*o + 20 = 0. Let 4/5*c + 6/5*c**2 + 0 - 16/5*c**3 + 6/5*c**b = 0. Calculate c.
-1/3, 0, 1, 2
Let k be 18/(-27) - (-8)/3. Factor -8/5*z**k + 0 + 2/5*z**3 + 6/5*z.
2*z*(z - 3)*(z - 1)/5
Let l(u) be the third derivative of -u**7/105 + u**5/10 + u**4/6 + 9*u**2. Solve l(d) = 0.
-1, 0, 2
Let f(g) be the first derivative of -g**6/120 + g**5/40 - g**4/48 - g - 2. Let t(n) be the first derivative of f(n). Let t(c) = 0. Calculate c.
0, 1
Let m be (1008/(-490) + 2)/((-2)/40). Factor 12/7*t**2 + 2/7*t**4 - 16/7 - m*t + 10/7*t**3.
2*(t - 1)*(t + 2)**3/7
Let i(r) be the third derivative of -r**5/240 - r**4/48 + 2*r**2. Factor i(d).
-d*(d + 2)/4
Let g(d) be the second derivative of -d**6/120 - d**5/20 - d**4/8 + d**3 - 9*d. Let z(j) be the second derivative of g(j). Solve z(u) = 0 for u.
-1
Let w(l) be the second derivative of -2*l**7/147 + 4*l**5/35 - 2*l**4/21 - 2*l**3/7 + 4*l**2/7 - 8*l. Determine n so that w(n) = 0.
-2, -1, 1
Solve 2*b - 2*b**5 - 2*b**2 + b**5 - b + 2*b**4 = 0.
-1, 0, 1
Let p(j) be the first derivative of -3/8*j**4 + 0*j**2 - 3 + 0*j - 1/3*j**3 - 1/10*j**5. What is t in p(t) = 0?
-2, -1, 0
Let z(d) be the first derivative of 3*d**4/4 + d**3 + 27. Factor z(j).
3*j**2*(j + 1)
Let n(u) be the first derivative of u**6/30 - 3*u**5/25 - u**4/5 + 6. Suppose n(f) = 0. Calculate f.
-1, 0, 4
Determine l, given that 16*l + 106*l**3 + 16*l**2 - 110*l**3 - 2*l**4 - 2*l**4 = 0.
-2, -1, 0, 2
Let h(i) be the first derivative of 3*i**5/5 - 3*i**4/2 - 3*i**3 + 12*i**2 - 12*i - 5. Factor h(l).
3*(l - 2)*(l - 1)**2*(l + 2)
Let q(m) be the second derivative of m**7/42 + m**6/30 + 9*m. Determine h so that q(h) = 0.
-1, 0
Let q(p) be the third derivative of -4*p**5/15 - 5*p**4/2 + 8*p**3/3 - 14*p**2. Factor q(y).
-4*(y + 4)*(4*y - 1)
Let b = 1 - -9. Factor 3*j**2 - 2*j + 26*j**3 + 4*j**2 + b*j**4 + 1 - 5 + 11*j**2.
2*(j + 1)**3*(5*j - 2)
Let t(q) be the second derivative of -q**6/150 + 3*q**5/100 - q**4/20 + q**3/30 + 3*q. Suppose t(w) = 0. What is w?
0, 1
Suppose 2*y - 37 = -5*z, 0 = 2*y - 5*y + z + 47. Suppose -2*w = -0*w - y. Factor -1 + w*x**3 + 2*x**2 - 1 - 7*x - x.
2*(x - 1)*(x + 1)*(4*x + 1)
Let s be -5 + 2 + (-39)/(-9). Let h(u) be the first derivative of -1 + 8/3*u + 2/9*u**3 - s*u**2. Factor h(n).
2*(n - 2)**2/3
Let n = 10 + -7. Suppose -2*c + n*t + t = -20, -2*t - 8 = 0. Factor 4*g**2 - 2*g**2 + c*g - g**2.
g*(g + 2)
Factor -4*q**2 - 4*q - 8*q**3 + 2*q**5 + 4*q + 6*q + 4.
2*(q - 2)*(q - 1)*(q + 1)* | {
"pile_set_name": "DM Mathematics"
} |
= -8. Solve 2*r + 6 = g*m, m - 2*r = -2*m + 10 for m.
4
Let v(z) = 10*z - 1. Let s be v(7). Let b = s - 42. Let m = 49 - b. Solve 4*n + 2*w + m = 0, 5*n + 23 = 4*w - 2*w for n.
-5
Suppose 7*f = 2*f + 5. Let w = 6 - f. Suppose z + 3*z - 53 = -5*d, -w*d = -z - 43. Solve 3*y = -d, 4*v - y + 1 = -4*y for v.
2
Suppose 2*s - 3*o - 7 = -2*s, 0 = s + 3*o - 13. Suppose 0*v = 3*v + 12. Let r be ((-40)/14)/(v/14). Solve -7 = 4*w + 3*h - 0, r = -5*w - s*h for w.
2
Let s = 7 - 12. Let m = s - -8. Solve 0 = -4*l + 3*j - 1 - 3, 5*l - 22 = -m*j for l.
2
Let t be 414/54*(3 - 0). Solve 1 = 3*c - 2*d + t, 5*d = 25 for c.
-4
Let c(p) = 3*p**3 - 2*p**2 - 2*p - 1. Let d be c(-1). Let r = -4 - d. Solve o - 19 = 5*f, -o - 5*f - 3 - 8 = r for o.
4
Let p(u) = 15*u + 32. Let b be p(-2). Suppose 115 - 43 = -4*h. Let a be (-1)/(-1 - 0) - h. Solve d + 1 = -b*n, -d + 3*n + a = d for d.
5
Let c be ((-8)/3)/((-10)/15). Suppose 2*i - 3*a + 24 = 3*i, -i = -c*a - 59. Solve -4*x + 20 = 0, 5*x + 8 = 2*p + i for p.
-3
Let i = 9 + 31. Suppose -4*j + 168 = i. Solve -p - 3*x = x + 16, 4*x = 3*p - j for p.
4
Let o(b) = -b**2 + 24*b - 40. Let r be o(22). Solve -5*t + x - 2 + 1 = 0, -r*t + 5*x + 16 = 0 for t.
-1
Let y(b) = -3*b + 7. Let c be y(-6). Suppose 0 = 2*l - 8, 0*l - 116 = -4*j - 5*l. Solve -5*d + q = j, 9*q + c = -4*d + 4*q for d.
-5
Let d = 17 - 14. Solve -4 + d = -y - v, -12 = 4*v for y.
4
Suppose -2*z + 25 = 3*z. Let k be 8/36 + (-176)/(-18). Let v be k*2/(-12)*-3. Solve -5*x - z = -p, -v*x = 2*p - x - 10 for p.
5
Suppose -2*j = -3*g - 29, -2*j - 2*g = -j - 25. Solve -6 = 3*r + 5*h - 3, -r = -5*h - j for r.
4
Suppose y - 4*y + 6 = 0. Suppose -2*o + 73 = t, -y*o + 2*t = -o - 24. Suppose -7 + o = 3*j. Solve 4*v = -5*p - 15, 3*v - v + p + j = 0 for v.
-5
Let r be 5*((-6)/(-15) + 0). Solve -2*v - 3*v = 2*p - r, -2*v + 2*p = 2 for v.
0
Let c(z) = z**3 - z + 4. Let n be c(0). Solve -14 = -5*m - n*q, 4*m + 0*q - 7 = q for m.
2
Suppose -2*x + 14 = d, 2*d + 4 = 3*d - 3*x. Let o = 0 - 0. Suppose o = 7*m - 2*m - 20. Solve -u + 6*q - 4 = m*q, 5*q = d for u.
0
Let g(k) = -7*k - 4. Let m(c) = -20*c - 13. Let p(t) = 17*g(t) - 6*m(t). Let b be p(-7). Solve -b*n = n - 2*z - 14, 4*n + 4*z = 20 for n.
4
Suppose 4*t + 100 = 9*t. Let v be (-1)/(-4) - 5/t. Solve 2*f + 5*l + 5 + 14 = v, -2*f + 1 = l for f.
3
Let p(s) = s**3 + s**2 - 4*s - 3. Let n be p(-2). Solve -3*f + 1 = -y - 0*y, -y = 4*f + n for f.
0
Let t(d) = -d**3 - 3*d**2 + 3*d - 2. Let r be t(-4). Let g be (r/7)/((-3)/(-21)). Solve 4*f - g - 14 = m, -f = 4*m + 13 for m.
-4
Let s be (0 + 6/(-3))/(-1). Let y be s/6 - (-72)/27. Solve 2*h + 3*h - 19 = 2*w, y*h = 5*w for w.
3
Let c = 30 - 16. Solve -3*d - c = -5*h, 3*d - h = -2*h - 8 for d.
-3
Let m be (0 + (-5 - -2))/((-6)/20). Solve -4*p = -2*k + m, -4*p + k - 3 = 12 for p.
-5
Let k(p) = -p**3 - 7*p**2 - 8*p - 9. Let s be k(-6). Suppose s*v + 5 = 4*v. Suppose -v*x + 95 = 5. Solve t - 6 = 4*t, 2*f - 4*t = x for f.
5
Let w = 4 - 1. Let m be (w + -2)*(1 + 0). Solve -2 = -3*k + 5*q, m = -5*q - 4 for k.
-1
Suppose 5*w + 0*w = 20. Let x be w - (-1)/((-3)/6). Let r(m) = m**2 - m - 4. Let q be r(3). Solve x*t + q + 6 = 3*c, 2*t + 6 = 2*c for t.
-1
Suppose -2*d - 2*d = 4. Let b = d + -1. Let v be ((-15)/(-9) + b)*-15. Solve -x + 8 = -v*p, -5*x - 3*p - 2*p + 10 = 0 for x.
3
Let v(h) = -h**2 + 5*h + 8. Suppose 3*z = 6*z - 18. Let t be v(z). Solve 0 = t*d + 3*o + 6, -2*d + 17 = d - 2*o for d.
3
Let v = -6 + 14. Let g = v - 2. Let s = g - 3. Solve 0 = -2*r - 4*z + 10, 4*z + 5 = 4*r - s for r.
3
Suppose 5*a + 16 = 1. Suppose -12 = -2*v + g + 2*g, 3*g + 30 = 5*v. Let z be 1/(a/v) - -3. Solve i + z = 2*q, -q = -5*i + 4*i for i.
1
Let d be 2/2*(9 + -4). Solve 3*b + d*h + 14 = 0, -3*b + 4*h + 10 = -6*b for b.
2
Let q(d) = -11*d + 1. Let s be q(-1). Let p be (-1 - -4) + 3 + 1. Let o = -3 + p. Solve -24 = -i + o*b, 2*i - 6 - s = 2*b for i.
4
Let h(f) = -f**3 - 5*f**2 - 2*f - 6. Let j be h(-5). Let q be ((-6)/j)/((-1)/(-2)). Let a be (14/4 + q)*6. Solve 3*i - 3*l - 27 = 0, a*i - 3 = -5*l + 2*l for i.
5
Suppose -3*f = -2*k - 32, -56 = -f - 4*f + 2*k. Solve 0 = 2*r - 5*r - f, 0 = -2*b - 3*r - 10 for b.
1
Suppose -3*z - 2 = 3*w + 4, 5*w + 10 = 3*z. Solve 3*p - 4*t + 5 = -0*p, -3*p + 3*t = z for p.
5
Let b = -108 + 66. Let n = -64 - b. Let m = 23 - n. Solve k - m = 6*k - 5*u, 21 = -4*k + u for k.
-4
Let c be 18/4*(-16)/(-24) + 2. Solve -3*y = c*u, u = -5*y - 4*u + 10 for y.
5
Let z = -4 + 7. Let h(f) = 0*f**2 - f**2 + 2*f**z + 1 - f**2. Let b be h(1). Solve -o - 2*p - 3 + 2 = 0, 0 = o + p + b for o.
-1
Suppose -5*g - 15 = -t, 2*g - 19 = -5*t - g. Solve -5*x - 4 = -3*k, t*k - 5*x - 9 = 1 for k.
3
Suppose -2*j - 5*i = -28 - 4, -12 = -2*j + 5*i. Let x be (-1)/4 - 33/(-4). Let f = 12 - x. Solve -5*g - j = -o, -4*g + 8 = -f*o - o for g.
-3
Let a = -4 - -4. Suppose a = 3*m - 0 - 6. Suppose -8 = -0*g - 4*g. Solve 3*d = 2*d + g*o + 5, m*o = -d + 5 for d.
5
Suppose 4*r = r + 9. Solve 2 = -g - r*h, -g - 5*h = -1 + 5 for g.
1
Let n(w) be the first derivative of -11/2*w**2 - 2 + 8*w - 1/3*w**3. Let u be n(-11). Solve 0*l = -4*l - 5*z + u, 0 = 2*l - 2*z - 4 for l.
2
Let m = 8 + -6. Suppose -5*v + m = -8. Solve 4*x + 5*z = -15, v*x - 3*z + 0*z - 9 = 0 for x.
0
Let c(y) = y**3 - 2*y**2 - y + 22. Let x be c(0). Suppose -x*a + 18*a = -16. Solve -3*n - 2*f - 3*f + 7 = 0, 0 = -2*n - a*f + 4 for n.
4
Suppose 0 = -2*o - 0 + 2. Let y be (o/1)/(1/4). Let u be ((-7)/4)/(y/(-16)). Solve 3*x = 12, 3*s + 3*x - u*x + 28 = 0 for s.
-4
Let n = 15 + -13. Solve 0 = -4*c - 3*a + 10, -3*a - n = -4*c - 2*a for c.
1
Let r = 60 + -58. Solve -5*c = -r*b + 5*b - 6, 5*b + c - 10 = 0 for b.
2
Suppose a - 4 = -3*a. Let m be (2 - 2) + a - -2. Solve -4 = 4*x - h - m*h, 21 = -x - 4*h for x.
-5
Let x(i) = -i**3 + 10*i**2 - 7*i - 18. Let a be x(9). Solve 17 = t - a*t - 3*j, -3*t + j = -19 for t.
5
Let m(z) = z - 2. Let v be m(-2). Let u be (-3)/10*v*5. Solve -4*a + u + 7 = t, 5 = -a - 3*t for a.
4
Suppose 4*m = 5*m - 2. Suppose 2*t - 8 = -m*t. Let a(c) = 2*c**3 - c + 1. Let o be a(1). Solve -o*d = 5*n + 35, -t*d + n = -0*d + 5 for d.
-5
Let k(n) = -n**3 - 2*n - 1. Let m(z) = -6*z**3 - 11*z - 6. Let y(s) = 11*k(s) - 2*m(s). Let x be y(1). Solve -4*t + 2*i = 8 + 4, t - 3*i = x for t.
-4
Suppose 6*f - 3*f = 0. Suppose -2*r - 3*t - 21 = f, 8*t = 3*t - 5. Let k(x) = x + 11. Let z be k(r). Solve -4*u = -3*n - 8 + 25, z*n + 2*u - 2 = 0 for n.
3
Suppose 4 = 2*b - b. Solve 2*h + 8 = 6*r - 3*r, -h = r + b for r.
0
Let q = 158 + -158. Solve q = 4*j + j + 2*o + 17, 4*j = 5*o - 7 for j.
-3
Let z(b) = -b**2 + 5*b + 26. Let p be z(8). Suppose 5*m = 0, m + m + 12 = -2*t. Let a be 10/t*(0 - 3). Solve q - 3*j = a*q + 22, -p*q = -5*j - 2 for q.
-4
Let z = 30 - 28. Suppose -17 - 1 = -2*r - t, -r = -z*t - 14. Solve 5*h + r = j, -2*j + 1 = -5*h - 4 for j.
-5
Suppose 15 = -b + 6*b, b = 5*t - 62. Solve 15 = u + 4*u, 4*u - t = -l for l.
1
Let h(m) = m**3 - 7*m**2 + 7*m - 3. Let y be 2/9 - (-312)/54. Let s be h(y). Suppose 2*c = 3*c - 3. Solve s*a - 3*q + c = 0, -2*q + q = 4*a + 24 for a.
-5
Suppose -m - 46 + 184 = 4*c, 0 = -c - 5*m + 44. Suppose 5*p - c = -14. Solve -p*g = k - 20, 4*k = 3*k for g.
5
Suppose 4*g = -12, 4*g - 12 = -2*m + 4. Solve 5*v = d + v + m, -v + 12 = 4*d for d.
2
Suppose 3*d = 3*g - 3, -g = 2*d - 2 - 2. Solve -3 = 3*n + g*s - 5*s, 8 = 2*s for n.
3
Let y be 4/18 - 610/(-90). Let v = y + -3. Solve -4*n = -2*p - 0*n + v, 2*p - 3*n - 5 = 0 for p.
4
Let d = 21 - 17. Solve -w + 3*k - 5*k - d = 0, 5*w - 2*k = 16 for w.
2
Let w(s) = s**2 + 12*s + 27. Let a be w(-9). Solve -1 = 3*y + 2*i - 10, i - 3 = a for y.
1
Let f = 7 - 7. Solve -16 = -4*w, 0 = -4*i - f*i - 2*w for i.
-2
Let d(b) = b**3 - b**2 - 3*b - 2. Let h be d(-2). Let t be (-185)/(-20) + 2/h. Let c be (8/(-12))/((-2)/t). Solve c*r = 3*p + r + 15, 2*r + 6 = -4*p for p.
-3
Suppose 2*j + 10 = -4*d, 2*d = -3*j + 2 + 3. Suppose -2*r - r = -75. Let y be -5 + 0 + 1 - -4. Solve y = -9*z + 4*z - 5*n + 30, 4*z + j*n = r for z.
5
Let c = -260 + 263. Let p = 19 + -3. Solve c*u - 1 = -t, -3*u + t + p = -t for u.
2
Let c(b) = -b**3 - 6*b**2 - 2*b - 7. Let h be c(-6). Let a(i) = 3*i**2 - 6*i - 4. Let j be a(4). Solve 2*v + v - 5*f = j, 0 = -h*f - 20 for v.
0
Let m(d) = d**3 + 3*d**2 + 2*d + 2. Let f be m(-2). Solve 4 = f*u | {
"pile_set_name": "DM Mathematics"
} |
(f + 1)*(f + 4)/5
Let s(k) be the first derivative of -k**5 - 25*k**4/2 + 85*k**3 - 170*k**2 + 140*k - 446. Determine d, given that s(d) = 0.
-14, 1, 2
Let i = 21124 - 21122. Factor -3 - 9/2*k + 0*k**i + 3/2*k**3.
3*(k - 2)*(k + 1)**2/2
Let r(o) = 49*o**3 - 6*o**2 - 49*o + 10. Let g(c) = 540*c**3 - 65*c**2 - 540*c + 110. Let i = -94 + 98. Let u(m) = i*g(m) - 45*r(m). What is t in u(t) = 0?
-1, 2/9, 1
Let m(i) be the second derivative of i**4/30 + i**3 + 14*i**2/5 - 43*i. Find p such that m(p) = 0.
-14, -1
Let z(o) be the third derivative of -1/70*o**7 - 34*o**2 - 1/40*o**6 + 0 + 0*o + 1/4*o**5 + 0*o**3 - 3/8*o**4. Solve z(c) = 0.
-3, 0, 1
Let f(q) = -q**2 - 28*q + 48. Let z(c) = -3*c**2 - 54*c + 94. Let v(y) = -13*f(y) + 6*z(y). Determine s, given that v(s) = 0.
2, 6
Let t be 8 - (-1936)/(-240) - (-7)/30. Factor -t - 1/6*n**2 + 1/3*n.
-(n - 1)**2/6
Let b(q) be the third derivative of q**7/336 - 5*q**6/144 + q**5/8 - 7*q**3/3 - 30*q**2. Let u(s) be the first derivative of b(s). Factor u(t).
5*t*(t - 3)*(t - 2)/2
Let q(l) = 2*l**3 + 64*l**2 - 66*l + 2. Let a be q(-33). Let u(d) be the first derivative of 0*d**a + 1 + 0*d - 1/6*d**3. Factor u(k).
-k**2/2
Suppose 7*k + 590 = 590. Determine b, given that 0 + 3/2*b**3 + k*b + 3*b**2 = 0.
-2, 0
Let c(h) be the third derivative of 0*h**4 + 0 + 2/105*h**7 + 12*h**2 + 0*h**5 + 0*h - 1/168*h**8 + 0*h**6 + 0*h**3. Factor c(o).
-2*o**4*(o - 2)
Let u(q) be the first derivative of q**5 + 25*q**4/2 + 55*q**3 + 110*q**2 + 100*q + 85. Factor u(a).
5*(a + 1)*(a + 2)**2*(a + 5)
Suppose n = 2*w - 0*n - 11, -n - 17 = -4*w. Factor 7*d**2 - d**2 - 4*d + 2*d + 2*d**w - 6.
2*(d - 1)*(d + 1)*(d + 3)
Let j be (-11)/(-132) - 2/(-3). Let a(z) = -z**3 - 30*z**2 - 190*z - 18. Let h be a(-21). Factor 9/4*b**2 + 0 + j*b**h + 3/2*b.
3*b*(b + 1)*(b + 2)/4
Let k be (207/(-1932))/(6/(-16)). Factor -4/7 + 2/7*z**2 + k*z.
2*(z - 1)*(z + 2)/7
Let a(j) be the first derivative of j**4/36 + j**3/18 + 29*j - 9. Let p(t) be the first derivative of a(t). Find y such that p(y) = 0.
-1, 0
Let o(n) be the third derivative of n**8/2016 + 11*n**7/1260 + 3*n**6/80 + 5*n**5/72 + n**4/18 + 146*n**2. Factor o(w).
w*(w + 1)**3*(w + 8)/6
Let q(w) be the first derivative of 6*w**2 + 4/3*w**3 - 40*w + 25. Factor q(n).
4*(n - 2)*(n + 5)
Let u = -2 + 5. Let k be u + (4 + -3)/(2/(-2)). Solve 1/3*a**k - 1/3*a - 2/3 = 0.
-1, 2
Let a = -178 - -178. Let b(q) be the third derivative of 0 + a*q + 6*q**2 + 1/14*q**4 + 1/21*q**3 + 1/42*q**5. Solve b(c) = 0.
-1, -1/5
Let x = 1267 + -21515/17. Find b, given that x*b + 2/17*b**2 + 72/17 = 0.
-6
Let a = 7555 - 7552. Find l such that 9/7*l**a + 6/7*l**2 + 3/7*l**4 + 0 + 0*l = 0.
-2, -1, 0
Let d(y) be the third derivative of -y**7/2520 - y**6/540 + y**5/90 + y**4/9 + 5*y**3/3 + y**2. Let x(k) be the first derivative of d(k). Factor x(m).
-(m - 2)*(m + 2)**2/3
Let j(v) be the third derivative of -v**8/840 + v**7/420 + v**6/90 + 8*v**3/3 + 8*v**2. Let l(h) be the first derivative of j(h). Factor l(i).
-2*i**2*(i - 2)*(i + 1)
Suppose 3*h + 10 = -2*r, -11*h - 25 = -9*h + 5*r. Factor 2/9*w**2 + 8/9*w**3 + 0*w + h.
2*w**2*(4*w + 1)/9
Determine i so that 110/9*i + 14/3*i**3 - 38/3*i**2 - 4 - 2/9*i**4 = 0.
1, 18
Let g(j) be the first derivative of -1/20*j**4 + 2/5*j**2 + 2 - 8/5*j + 2/15*j**3. Factor g(o).
-(o - 2)**2*(o + 2)/5
Factor 33*a**4 + 27*a**2 + 245*a - 28*a**3 - 17*a**3 + 150 + 18*a**2 - 28*a**4.
5*(a - 6)*(a - 5)*(a + 1)**2
Let d = 18 - 14. Suppose -r + 3 = 0, -h - 3*h - d*r = -240. Solve -18*u + h*u - 292*u**3 + 41*u - 40*u**5 + 88*u**2 + 196*u**4 - 32 = 0 for u.
-1/2, 2/5, 1, 2
Let m = 90 - 42. Suppose 2*t - m*t**4 + 21*t**4 + 26*t**4 + 6*t**2 - 3*t**2 = 0. Calculate t.
-1, 0, 2
Let o(u) be the first derivative of 3*u**4/4 - 156*u**3 + 12168*u**2 - 421824*u - 239. Factor o(l).
3*(l - 52)**3
Solve i**3 - 3*i**4 + 6*i**4 + i**4 - 12*i**2 - 46*i**3 - 2*i**3 = 0.
-1/4, 0, 12
Let j(h) be the second derivative of h**5/130 + h**4/78 - 2*h**3/13 - 9*h - 3. What is y in j(y) = 0?
-3, 0, 2
Let g = -120/67 + 628/201. Factor 2/5*o**4 + g*o**3 + 4/5*o + 8/5*o**2 + 2/15.
2*(o + 1)**3*(3*o + 1)/15
Let m(c) be the third derivative of -c**7/2310 - c**6/1320 + 3*c**5/220 + 3*c**4/88 + 44*c**2. Factor m(k).
-k*(k - 3)*(k + 1)*(k + 3)/11
Let o(v) = v**3 - 3*v**2 + 4. Let c be o(3). Let x(s) = -4*s**4 + 3*s**2 + 11*s. Let u(m) = 5*m**4 - 2*m**2 - 12*m + 1. Let j(t) = c*x(t) + 3*u(t). Factor j(a).
-(a - 3)*(a + 1)**3
Let v be ((81/4)/(-3))/((-2275)/(-156) + -15). Factor -972/5*r - 24/5*r**5 - v*r**2 + 36/5*r**4 + 54*r**3 - 729/5.
-3*(r - 3)**2*(2*r + 3)**3/5
Suppose 23*i = 28*i. Let c be (-1)/(i + -1) - -4. Find l such that -3*l - 6*l**4 + 7*l - 3*l**c - l + 6*l**2 = 0.
-1, 0, 1
Let d be 2/(-39) + 7826/14196. What is t in 0*t - 1/8*t**3 + 3/8*t**2 - d = 0?
-1, 2
Let z(c) be the second derivative of 1/3*c**4 - 1/3*c**3 - 29*c + 0 + 0*c**2 + 1/60*c**6 - 1/8*c**5. Solve z(t) = 0.
0, 1, 2
Factor -9*h**2 + 3*h**3 + 3*h**4 + 3*h**2 + 0*h**4 - 9*h + 9*h.
3*h**2*(h - 1)*(h + 2)
Let r(g) be the second derivative of g**8/560 - g**7/70 + g**6/40 + g**5/10 - g**4/2 - 16*g**3/3 - 3*g. Let a(f) be the second derivative of r(f). Factor a(w).
3*(w - 2)**2*(w - 1)*(w + 1)
Let t(d) be the third derivative of -d**9/4536 - d**8/1008 - d**7/630 - d**6/1080 + 2*d**3/3 + 13*d**2. Let p(a) be the first derivative of t(a). Factor p(j).
-j**2*(j + 1)**2*(2*j + 1)/3
Suppose -5*b + 10 = -n, -4*b - 87*n + 91*n + 8 = 0. Factor 0 + 1/2*h**2 + 3/2*h**4 + 0*h - b*h**3.
h**2*(h - 1)*(3*h - 1)/2
Suppose 5313 - 5301 = 6*c. Find k such that 0 - 3/2*k**c + 3/2*k = 0.
0, 1
Let m(k) be the second derivative of -1/150*k**5 - 13*k + 0*k**2 + 1/90*k**4 + 0*k**3 + 1/315*k**7 - 1/225*k**6 + 0. Factor m(i).
2*i**2*(i - 1)**2*(i + 1)/15
Suppose -2*m = 2*l - 4, -5*m + 91*l - 94*l + 10 = 0. Solve 2/3*s**5 + 2/3*s**2 + 0 + m*s**3 + 2*s**4 + 0*s = 0 for s.
-1, 0
Factor -1/2*n**3 + 1/2*n**2 + 1/2*n - 1/2.
-(n - 1)**2*(n + 1)/2
Let i(l) = -35*l**3 + 35*l**2 + 75*l. Let o(w) = -3*w**3 + 3*w**2 + 6*w. Let k(r) = -2*i(r) + 25*o(r). What is m in k(m) = 0?
0, 1
Let y(s) be the second derivative of -s**5/20 + 5*s**4/6 - 16*s**3/3 + 16*s**2 + 464*s. Factor y(b).
-(b - 4)**2*(b - 2)
Let u(o) = o**2 + 65*o - 29. Let q(m) = -32*m + 14. Let s(d) = d**2 - 12*d - 15. Let w be s(14). Let g(t) = w*q(t) + 6*u(t). Determine l so that g(l) = 0.
1/3, 4
Factor -183 - 440*o - 224 - 162*o**3 + 455 + 1044*o**2.
-2*(o - 6)*(9*o - 2)**2
Suppose 5*y = 3*r + 15 + 1, 0 = 3*y - 15. Let b(n) be the second derivative of -1/18*n**4 + n - 4/9*n**r + 0 - 4/3*n**2. Solve b(l) = 0 for l.
-2
Let k be (-9)/(-15) + 0 + (-7)/70. Let m(g) be the second derivative of -4/3*g**3 + 0 + 0*g**2 + 4/3*g**4 + 1/15*g**6 - 2*g - k*g**5. Factor m(t).
2*t*(t - 2)**2*(t - 1)
Let a(m) be the first derivative of -5*m**6/6 + 14*m**5 + 40*m**4 + 10*m**3/3 - 155*m**2/2 - 80*m - 638. Factor a(f).
-5*(f - 16)*(f - 1)*(f + 1)**3
Suppose r - 5*p + 2 = -6, 4*r + 2 = 5*p. Let b(x) be the third derivative of 1/12*x**4 - 1/60*x**5 + 0*x**3 - 2*x**r + 0*x + 0. Factor b(j).
-j*(j - 2)
Let j be (-4)/26 + 28/13. Find h, given that 4*h**3 - 8 + h**2 - 2*h + 7*h**j - h - h = 0.
-2, -1, 1
Let g(k) be the second derivative of 1/3*k**2 - 7*k + 0 + 169/72*k**4 + 13/9*k**3. Suppose g(p) = 0. What is p?
-2/13
Let i be ((-132)/154)/(8/(-14)) - (-18)/(-20). Let i - 1/5*y**3 - 7/5*y + y**2 = 0. Calculate y.
1, 3
Suppose 9*k + 5*u - 24 = 6*k, 0 = 4*k - 4*u. Let f(p) be the second derivative of -1/16*p**4 + 0*p**2 - 3/80*p**5 + 1/40*p**6 + 1/8*p**k + 0 + p. Factor f(n).
3*n*(n - 1)**2*(n + 1)/4
Let y(k) be the second derivative of 3*k**5/80 - k**4/2 + 2*k**3 + 261*k. Factor y(d).
3*d*(d - 4)**2/4
Let c(s) be the second derivative of 2*s**6/75 + 12*s**5/25 + 13*s**4/5 + 56*s**3/15 + 286*s. Find b such that c(b) = 0.
-7, -4, -1, 0
Let s(y) be the first derivative of y**7/315 - y**6/180 - y**5/90 + y**4/36 - 8*y**2 + 24. Let r(p) be the second derivative of s(p). Factor r(g).
2*g*(g - 1)**2*(g + 1)/3
Let g(o) = 3249*o**2 - 360*o + 1. Let n(b) = -1624*b**2 + 180*b - 1. Let w(k) = 4*g(k) + 9*n(k). Let w(u) = 0. Calculate u.
1/18
Factor -8*b**2 + 55/2*b + 1/2*b**3 + 0.
b*(b - 11)*(b - 5)/2
Let l(j) be the first derivative of -1/14*j**6 + 0*j**3 - 3/14*j**2 + 3/14*j**4 + | {
"pile_set_name": "DM Mathematics"
} |
Put together 4868705.03 and 1.
4868706.03
Subtract -0.00728975 from -0.091.
-0.08371025
Work out -1672152.87 - -1.34.
-1672151.53
What is 0 take away -201769751?
201769751
Calculate -494087 - -0.17.
-494086.83
What is 169767 plus -580.3?
169186.7
5198.24251+0.3
5198.54251
What is the difference between 5.97048 and -3.5?
9.47048
What is the difference between -3 and 130002808?
130002811
Calculate -3 + 1477655833.
1477655830
What is 81722782 plus 0.3?
81722782.3
What is -104 minus -1150858?
1150754
What is 408165.2 less than -0.1?
-408165.3
What is -1342196 minus -0.11?
-1342195.89
What is the difference between -193.128 and -250?
56.872
What is -479 + -6797813?
-6798292
Work out 0.1 + -2288892125.
-2288892124.9
What is -0.1 - 39440914?
-39440914.1
What is -0.84764 minus -0.0161036?
-0.8315364
What is 1906.3481 take away 1?
1905.3481
Add together 2648551 and -0.06.
2648550.94
What is the distance between 12922.65 and -59?
12981.65
What is 0.005 + -56335?
-56334.995
Add -8.34 and -13421.9274.
-13430.2674
What is 735.65 plus -222?
513.65
-0.15+399837178
399837177.85
-15041839.4+0.01
-15041839.39
What is -7539611489 less than -0.4?
7539611488.6
What is -0.3 take away 64629157?
-64629157.3
Sum -3.203709 and -8.8.
-12.003709
What is the difference between 1158 and 27772.3?
26614.3
Calculate -0.2 + -50401.4179.
-50401.6179
Calculate 6.6965 - -5.
11.6965
What is 226 less than 37969.9825?
37743.9825
Subtract 82.3 from 0.6549822.
-81.6450178
Total of 520.463 and -7.62.
512.843
Calculate 48.52 - -0.000095.
48.520095
Work out -1831518461 - 5.
-1831518466
What is -0.03 take away 6.7423432?
-6.7723432
Add -2.5765 and 0.18556.
-2.39094
What is -4 plus 458.0817946?
454.0817946
What is -69 - 239395?
-239464
Calculate 14322 - -1407.
15729
What is the distance between 0.5 and -46117558?
46117558.5
Subtract -0.07877 from -1.285082.
-1.206312
-0.76596+89.68
88.91404
What is -65179.42 + -0.01?
-65179.43
Add 0 and -3700039.
-3700039
Subtract -0.5 from -111973896.
-111973895.5
Put together -4868.391321 and -1.
-4869.391321
Subtract 0.3 from -4433617247.
-4433617247.3
Total of 0.4 and -299023378.
-299023377.6
Total of -320650 and 165586.
-155064
Work out -210.893 - -0.138.
-210.755
What is 8 plus 21120988?
21120996
-373.63 - 0.0234
-373.6534
Subtract 332 from -42636204.
-42636536
Calculate -0.1 - 2504.6674.
-2504.7674
What is the difference between -1165536 and 0.408?
1165536.408
Work out -0.0635 + 16526118.
16526117.9365
What is the difference between -133 and 5.9152?
138.9152
Put together 347135.4 and -0.8.
347134.6
What is -0.50284 less than -65.8?
-65.29716
Calculate -2428409 - 96.
-2428505
What is -1252260 plus -16540?
-1268800
What is the difference between -2 and 1041639779?
1041639781
Work out -0.5 - -2.137098.
1.637098
Calculate 37774933.97 - 0.3.
37774933.67
What is the difference between 7590855363 and 0.06?
7590855362.94
What is the distance between 0.81 and 1433261?
1433260.19
Subtract -129 from -2.187275.
126.812725
0.04739 + -4.757
-4.70961
Subtract 3 from 12.77744051.
9.77744051
Total of -1520153.99 and -1.
-1520154.99
4258.93 + 1
4259.93
Work out 11 + 585647.
585658
Calculate -0.0934879 + -49.
-49.0934879
What is -0.048911 plus 1.06048?
1.011569
13143522 + -41
13143481
Put together 3618779 and -401.
3618378
Put together 1753 and 66709.
68462
Put together -9617.57 and -51.
-9668.57
What is -7 take away -6267.4682?
6260.4682
What is 13304 less than -8244245?
-8257549
What is 4.8663826 + 5?
9.8663826
What is 5 - -1515754?
1515759
Calculate 651 + 1145846.
1146497
What is 0.2 take away 1965718.1?
-1965717.9
Work out 43815 - -24349.
68164
Total of -88.186 and -1.56.
-89.746
What is the difference between 8499 and -10356713?
10365212
Add together -0.043 and 16667357.
16667356.957
Work out -2 + 307180367.
307180365
What is -24 minus -9.835331?
-14.164669
Put together 525020.796 and 2.1.
525022.896
4.55 - 2876248
-2876243.45
5 - -4304477755
4304477760
Add -438 and -19285987.
-19286425
18.8797+-0.52
18.3597
Add together 62706640 and 0.5.
62706640.5
Calculate -282797720.8 - 0.3.
-282797721.1
0.413601 - -0.97
1.383601
What is 2 - 2.6966882?
-0.6966882
What is the difference between 0 and 0.062770295?
0.062770295
Add together 1799.49519 and -629.
1170.49519
Put together -39 and 62443.
62404
-22.6023805 - 0.082
-22.6843805
What is -30451600 minus -1166?
-30450434
What is 29 + -26691265?
-26691236
Put together 0.10701 and 9.14.
9.24701
Sum 18818708 and -0.072.
18818707.928
Total of -0.5 and -46188302.
-46188302.5
What is -0.0940508 less than -0.02?
0.0740508
0 + 140704
140704
What is 221494.33 take away -0.6?
221494.93
Calculate -0.13534284 - 0.1.
-0.23534284
What is the difference between -2409 and -66.88?
2342.12
Calculate -860.8 + 241756.
240895.2
Total of -1.67623 and -10435.
-10436.67623
What is 157.5 - 39189?
-39031.5
Total of -7457885 and 4074.
-7453811
Calculate -124516.4 + -220.
-124736.4
What is -0.062 less than -0.265075?
-0.203075
What is 0.4 less than -0.94506102658?
-1.34506102658
What is 12134.6525 less than 0.08?
-12134.5725
Put together -3163264196 and -0.4.
-3163264196.4
Work out 20 - 1185402.
-1185382
Calculate 21714603 - -0.3.
21714603.3
What is -8.78898 + 1800.2?
1791.41102
What is -57371554 minus -0.1?
-57371553.9
What is 64422639 - 5.26?
64422633.74
What is -1 take away -12676.3323?
12675.3323
Total of 4983269 and 0.01.
4983269.01
What is -86676 less than -724?
85952
-36411+0.21
-36410.79
Calculate -4 - 44358766.
-44358770
21125640813 - 0.3
21125640812.7
What is 0.3 less than -4727592500?
-4727592500.3
-0.2+-24444698
-24444698.2
-6312316189 - 3
-6312316192
Work out 33672865.39 + -0.1.
33672865.29
Sum 199 and -0.72173.
198.27827
What is -5 minus -5737436?
5737431
What is 4 take away -25260162?
25260166
Subtract -3 from -299176.
-299173
What is 417 + -15089.7?
-14672.7
Subtract 296624 from 1930.8.
-294693.2
21920399 - -5
21920404
Add 1102 and -0.1675145.
1101.8324855
Work out 817369 - 68.
817301
Put together 63 and 338492.8.
338555.8
Calculate -38370020 - -0.21.
-38370019.79
Calculate 15.8442731 + 0.
15.8442731
-4058.75 + 58
-4000.75
-1797672 - -2.1
-1797669.9
Calculate -10.33 + 4375378.
4375367.67
What is -1535.14 minus 15701?
-17236.14
Sum -5108511 and 2.
-5108509
-484116 + -0.30028
-484116.30028
What is 0.08 + -17315136.4?
-17315136.32
What is 5 plus -6048737?
-6048732
What is 54057716.7 take away -4?
54057720.7
Subtract 16085 from 0.038157.
-16084.961843
What is -13113 - -891.75?
-12221.25
Work out 226.6 - 334733.
-334506.4
-34078852365 - -0.2
-34078852364.8
Put together -1475 and 1453.
-22
-1773484242 - -0.2
-1773484241.8
What is -0.4 minus -6734812?
6734811.6
Subtract 227 from 18971.
18744
0.14+128.780562
128.920562
Calculate -0.14136 + -919172.
-919172.14136
Subtract 21611.69191 from 0.04.
-21611.65191
2998756 - -0.5
2998756.5
What is -1569 plus -39076?
-40645
Put together -35346211 and -2.
-35346213
What is 4695 minus 6.187?
4688.813
Calculate 8594 + -941095.
-932501
Sum -0.02792 and 1910.74.
1910.71208
What is -14472 less than 69514?
83986
Work out -7170 - -22.7.
-7147.3
Sum -16387 and -2577.
-18964
What is -56976716 + 26?
-56976690
Put together 470 and 2.3147.
472.3147
Add together 4 and -13413757.
-13413753
Work out 5 + 2144348.3.
2144353.3
Subtract 582.59 from 9524.
8941.41
Calculate 0.5 - 3683858.
-3683857.5
0.4862 - -117546
117546.4862
What is 0.12054 plus -1076822?
-1076821.87946
Add together 82.65 and -65.2.
17.45
Total of 6448433 and -1.3.
6448431.7
What is -37167 less than 20.28?
37187.28
Work out 0.5 + -97737289.
-97737288.5
What is -0.15 - 7.89584?
-8.04584
What is the distance between 83398837 and 6?
83398831
What is 0.07 minus 9885493462?
-9885493461.93
-2.26529179 - 4
-6.26529179
3 - 49837.27028
-49834.27028
What is the distance between 16 and 8370044.44?
8370028.44
What is 10759243533 + 1?
10759243534
Subtract 35 from 1446.393941.
1411.393941
Calculate -13.82 - -44796.
44782.18
Sum 45821252 and -0.2.
45821251.8
Sum -3385328876 and 15.
-3385328861
What is -0.0062503 less than 134409?
134409.0062503
32220325+-1.1
32220323.9
What is 1.1 less than -573191?
-573192.1
1.7 + 1623568
1623569.7
Subtract 2837485 from -3.
-2837488
What is 4131 minus 1.512?
4129.488
What is 0.098234 plus -2722.83?
-2722.731766
Calculate 34071 - - | {
"pile_set_name": "DM Mathematics"
} |
(1 - 4) - (0 + 3). Solve -b = -h + c*h + z, -b + 2*h = 1 for b.
-5
Let c(d) be the third derivative of -d**3 - 1/60*d**5 + d**2 + 0 - 1/4*d**4 + 0*d. Let n be c(-4). Solve 3*i = -3*p + 13 - 1, 3*p = n*i + 12 for i.
0
Let b be -1 + 5*-1*7/(-7). Solve -j + 2*f = 10, 26 = -2*j - 3*j + b*f for j.
-2
Let w(o) = o**3 - 10*o**2 + 9*o + 10. Let i be w(9). Solve -4*a = -9*a + 3*u + 10, i = 3*a - u for a.
5
Suppose 2*u = 2*k - 20, -3*k + u + 14 = -6. Solve 0*l = -3*j + 4*l + 14, 4*j + 33 = -k*l for j.
-2
Let a = 1 - -1. Let x be (-1*11 - 0) + a. Let t = -6 - x. Solve 5*r - 16 = -3*z, 3*r + 3*z + z - t = 0 for r.
5
Let b be (-4)/12*-15 + -1. Solve -5*k + 3*k = 3*g - 2, b*g = -2*k for g.
-2
Let y = 32 - 2. Suppose 5*f + y = 5*b, f = -b - 3*f - 14. Suppose 3*v - m + b*m = 7, -20 = 4*m. Solve -3*i = 5*w - 11, -3*i + 5 = v*w - 2 for w.
4
Let o be (-28)/42 - 28/(-6). Solve 2*y + o + 2 = -4*g, -y - 4*g = 5 for y.
-1
Let v be 2/(2/(-73)) + 2. Suppose 0 = -12*x - 402 + 30. Let c = x - v. Solve -5*b = 3*i - c, -3*b + 5*b - 15 = -i for i.
5
Let r = 19 - 15. Solve 4*x + 3*p - 31 = -0*p, 16 = -x + r*p for x.
4
Let z(h) = h**3 - 14*h**2 - h + 16. Let j be z(14). Solve 1 = 5*f - 5*l - 4, -2*f - j*l = -18 for f.
5
Let k(c) = c - 4. Let v be (-12)/4 + (9 - -1). Let n be k(v). Solve -n*f + 3*z + 9 = 0, -2 = 5*z + 3 for f.
2
Let k(x) = 4*x - 10. Let i be k(4). Solve -g + 5 = -2*z - 3, -g = 5*z + i for g.
4
Let c = -10 - -14. Solve -4*u + c = -2*w + 2, 3*w + 19 = -2*u for u.
-2
Let z(h) be the first derivative of -1 + 3/2*h**2 - h. Let k be z(1). Solve w + w + p = k, -2*p + 5 = 5*w for w.
1
Let q = -14 + 21. Suppose 0 = -5*k + 11 + 14. Solve -3*m = -q*l + 2*l + 2, l = -k*m + 6 for l.
1
Let g be -5*6*(-6)/45. Let o(d) = 4*d**2 + 11 - g + 0*d**2 + d**3 - 4*d. Let s be o(-5). Solve v - s*v - 1 = -2*q, -v = 3*q - 4 for q.
1
Suppose -g - 4*g + s = 37, 2*s = 2*g + 18. Let u = -4 - g. Let w be -2 - ((-57)/u + -2). Solve y + 2*x + 5 = 0, -5*y - w = 4*x - 0*x for y.
-3
Let b = 36 + -27. Solve 28 = -4*u + 4*v, 3*u - 3*v = 6*u - b for u.
-2
Let u be (3/4)/((-2)/(-8)). Let c be (-9)/(-6)*(-4)/(-3). Suppose -c*b + 0*o = 3*o, 2*o = 4*b. Solve -d - 2*d - 21 = -3*h, d + u = b for h.
4
Let v(j) = 5*j**2 + 2 - 2 - j. Let s be 8/7 + (-6)/42. Let k be v(s). Solve 2 = -2*a + 3*y, 18 = -k*a - y - 0*y for a.
-4
Let w be (7/(-4))/(4/(-16)). Let d be 68/w - 12/(-42). Solve -3*q + 0*m - 2*m - d = 0, 3*m = -2*q - 5 for q.
-4
Let h be (-4)/(-6)*(-11 - -2). Let o be 4/(-6)*h/(-4). Let b be 5/(-10)*4/o. Solve 0 = -5*c - z - 10, b*z + 3*z + 23 = 2*c for c.
-1
Suppose 4*o - 3 = 5. Solve 3*k = -j, -k = -3*k - o*j for k.
0
Let l = 87 + -77. Solve 0 = -3*c, 3*c = 5*u - 0*c + l for u.
-2
Let c = 6 + -4. Solve -22 = -c*k - 4*q - 6, 3*k - q = 10 for k.
4
Suppose -14 = -4*s + 2*s. Let p(f) = f**3 - 8*f**2 + 7*f + 4. Let x be p(s). Solve 5 = -m - 2*a, x*m = 4*a + 7 - 3 for m.
-1
Let t(w) = -w - 1. Let j(b) = -b**2 - 3*b - 27. Let p(h) = -j(h) + 3*t(h). Let d be p(0). Solve 3*k = u - 11, 0*k - 5*k - d = 4*u for k.
-4
Let k = 8 + -6. Solve 5*i - i + 2*f = -26, -21 = 3*i + k*f for i.
-5
Suppose 1 - 11 = -5*k. Suppose -5*i + k*g = -g - 22, 3*i = -2*g - 2. Solve 0 = -w + q + i, -4*w = -2*w + 3*q + 21 for w.
-3
Suppose -z + 6*z = 40. Suppose -l = -3*l + z. Solve 3*p - l*k = 19, 2 = -p - k - 1 for p.
1
Let y(l) = 2*l**2 + 6*l - 6. Let i be y(-5). Let t = -1 + 3. Suppose -2*h + 4*h + 2 = -2*m, -2*m = -t*h + 2. Solve -2*r - 4*o - i = h, 3*o = r - 4 + 1 for r.
-3
Suppose 0 = -3*s - 3*z + 9, 4*s + 2 = 4*z + 6. Solve s*a + 24 = -y - 4*y, -4*a + 8 = -4*y for a.
-2
Suppose -4*o + 2*g = -18, g + 1 = -2*o + 12. Solve 0*z + z + 7 = -o*h, -h + 1 = -z for z.
-2
Let f(k) = -k**2 - 9*k + 10. Let i be f(-9). Solve 2*n - 5 + 3 = j, j = -2*n + i for n.
3
Let y be (8 - 1) + (-4)/2. Suppose -2*w = 5*p - 11, -11 - 9 = -y*w - 5*p. Suppose -29 = -3*v + 16. Solve 40 = k - 6*k - w*o, 5*k - 2*o + v = 0 for k.
-5
Let x = 10 - 5. Let d = -253 + 274. Suppose s + 3 = 2*s. Solve 3*a - 4*o - s = 0, 2*a + x*o + 0 + d = 0 for a.
-3
Suppose -r + 204 = 4*j + j, -4*j + 164 = r. Suppose -p + 5*p = -j. Let y be (-16)/(-10) - 4/p. Solve -5*z + 4*x = -y - 1, -3*z + 5*x - 6 = 0 for z.
3
Let h = 9 + 9. Solve -3*v - 16 - 3 = 5*f, 4*f + v = -h for f.
-5
Suppose 0 = -4*b + 8 + 8. Suppose -4*i = -4*t + 8, -7*t + 2*t = b*i - 37. Solve 5*n - i*u - 35 = 0, 45 = 5*n - 2*u - 3*u for n.
4
Suppose -2*j = 5*v + 3, -2*j + 4*v - 11 + 35 = 0. Solve 0 = -2*z + j, 5*c + 2*z = -11 + 2 for c.
-3
Let o be 1/(2*(-3)/12*-1). Solve 0 = -4*u, 3*x - 6*u - 9 = -o*u for x.
3
Suppose -3*t - 13 = -2*w + 3, 14 = w - 3*t. Solve -f = -5*a - 4, 4*f - w*f = 5*a + 8 for f.
4
Suppose 7*a - 3*a - 100 = 0. Suppose -9*s = -4*s - a. Let q be (-18)/(-5) - (-4)/10. Solve s = f - q*r, 4*f - 20 = -2*r - r for f.
5
Let j(y) = -y. Let g(p) = p**2 - 2*p - 1. Let m(z) = g(z) - 5*j(z). Let o be m(-4). Solve o*f - 5*l + 4 = 0, -6*f - 19 = -f + 4*l for f.
-3
Suppose 4 = -4*l + 5*l. Suppose 3*x = 5*w + 34, 2*w - w = l*x - 34. Solve -4*u - q = -x, -5*q + 4 + 16 = 0 for u.
1
Let y be (24/(-9))/(2/6). Let u = -6 - y. Let j be (-2)/(-4)*0/u. Solve -2*s + g - 8 = -j, 0 = 5*s + 3*g - 2 for s.
-2
Let p be (-2 - -4 - 0) + 0. Suppose 2*z = 7*z - 10. Solve 4*q + b + z - 8 = 0, p*b = -3*q + 2 for q.
2
Suppose -25 - 15 = -4*m. Let s be 4/(-10) + 44/m. Solve s*l + 4 = -4*t + 24, 5*l = 3*t + 17 for l.
4
Suppose 300 = -0*m + 4*m. Suppose 4*d - x - m = 0, 5*d = 7*x - 3*x + 91. Solve -4*g - 4*p + 13 = -d, 3*p = 9 for g.
5
Suppose -5 = -2*y + 5. Suppose -y*p - 7 = -17. Solve -5*k + z = -6 + 1, -2*k + p = -3*z for k.
1
Let q(d) = d**2 - 6*d + 8. Let i be q(6). Let o be (-18)/i*20/(-5). Suppose -4*f + 16 + 8 = -l, -f + o = -l. Solve 3*x - s + 12 = f*x, -3*s - 19 = -5*x for x.
5
Let j(i) be the first derivative of i**3/3 + i**2/2 - 4*i + 3. Let w be j(-3). Solve w*d = 3*l + 7, 0*d + 13 = 4*d - 5*l for d.
2
Let t = 27 - 24. Let r be 2/(3/(4 + 2)). Solve -3*u - 5*i - 5 = -u, 4*i + r = t*u for u.
0
Suppose 0 = -t + 4*s - 12 - 2, 2*s = -4*t + 16. Solve -3 = -u + 4*y + t, y = -u + 5 for u.
5
Suppose 0 = -k - 4*k + 15. Let y(h) = h. Let l be y(3). Let v = l + -1. Solve 0 = -0*j + 2*j + 2, -v*f + 3*j + k = 0 for f.
0
Suppose 3*a - 16 = -2*n, 5*n - 14 = -2*a + 3*n. Solve -2*v = -4*m + 8, -v - a*m + 8 = -0*v for v.
2
Let m = 14 + -29. Let p be (-32)/(-5) + 6/m. Suppose 2*l + 2*j = 30 + p, 0 = -4*j + 4. Solve -4*h + a = -l, 4*a = 3*h - a for h.
5
Let f be 2 + 0/(-3) + 3. Suppose -y - 2 = -f*h, -y + 4*y - 5 = 4*h. Solve -4*r - 3*w = 14, 5 = -y*r - 3*w - 4 for r.
-5
Suppose -r + 4*r + 9 = 0. Let f = r + 5. Solve 0 = -3*g + 3*x + 9, f*g + x = -4 + 1 for g.
0
Let r = 0 - -2. Let z = 148 - 143. Solve c + 11 = -3*q, r*q + c + z = -2 for q.
-4
Let l be 21 + (0 - 0/1). Let i = l - 17. Solve 3*v - 3*g = -0*g - 18, -4*v = i*g + 8 for v.
-4
Let b = 21 - 13. Let a = b - -3. Let z = a - 7. Solve -3*q = -z*m + 16, -5*m + 0*m + 20 = 0 for q.
0
Let h be (1/(-3))/((-4)/60). Let q = 8 - h. Solve f - 6*f = -5*m + 20, -2*m + 9 = -q*f for f.
-1
Suppose 4*v - 8 - 56 = 0. Let u be ((-6)/(-24))/(1/v). Solve 0 = -k - 3*k - 4*r - 28, 2*r = -u*k - 24 for k.
-5
Suppose 9*p = 6*p + 12. Solve 5*n + 18 = -j - j, -p*j - 2*n = 4 for j.
1
Let n(c) = 5*c - 5*c + 0*c - c**2 + 7. Let k be n(0). Suppose -1 + k = 3*d. Solve 0 = -5*a - d*h + 3 + 13, -a + h = 1 for a.
2
Suppose 52 = -u - 3*x, -4*x = -u + 2*u + 54. Let i be 4/10 + u/(-10). Solve 10 = 5*s + i*a, 0 = -4*s + 2*s - a + 5 for s.
3
Let t be (1 + 1)*(-9)/(-6). Let o be t/(-2)*(-24)/18. Let q = o - 0. Solve 0 = 5*n + j + 22, -5*j + 0 = -q*n + 2 for n.
-4
Let h be 111/21 + (-4)/14. Suppose -i = h*l + 2*i - 20, -4*i + 20 = 0. Solve -l = -5*p + 4, 19 = 5*c - p for c.
4
Let f = 16 - 8. Suppose -4*j + 3*h - 146 = 0, -4*j + 9*j + 173 = -h. Let x be j/(-2) + (-3)/2. Solve o = -b, -3*o = -f*o + 3*b + x for o.
2
Let n(c) = 2*c**2 + 4*c + 2. Let f be n(-2). Suppose 12 = p + f. Suppose m + p = 3*m. Solve 5*h - 23 = -2*j, -m*j = -h - 2*h - 11 for h.
3
Let t = -15 - -21. Let v be (0 - t)*(3 - 4). Suppose 20 = -2*h + 7*h. Solve 0 = 3*d - v*p + p + 11, h*d - 8 = p for d.
3
Suppose -5*u + 22 = q + 5, -2*q = -2*u - 10. Solve 12 = 3*c + n - q, -10 = 2*c - 5*n for c.
5
Suppose -7 - 3 = -5*g. Solve g*f - 2*k + 1 = -1, -2*f - 4*k + 4 = 0 f | {
"pile_set_name": "DM Mathematics"
} |
*3/3 + 5*q**2/2 + 18*q + 19. Let x be d(-4). Let y(a) = -a**2 + a - 2. Determine y(x).
-8
Let c(o) be the second derivative of -7*o**3/6 - o**2/2 - 2*o. Let u(l) = -13 + 0*l - 6*l + 7*l. Let v be u(12). Determine c(v).
6
Suppose -12 = -5*o - 2*w, 0*w - w + 1 = 0. Let t(h) = -21*h**o + 1 - 6*h + 2*h + 20*h**2. What is t(-3)?
4
Suppose -4*p + 5 + 19 = 0. Let h = 7 - p. Let c(b) = -b - 5 + b**2 + 4 - 7*b**3 - 9*b**3 + 2. Give c(h).
-15
Suppose 8 = 5*o + 4*b, 2*b = 8 - 4. Suppose -5*l + 19 + 1 = o. Let u(w) be the third derivative of w**6/120 - w**5/15 + w**4/24 + w**3/6 + 92*w**2. Give u(l).
5
Let r(b) = b**2 - 17*b - 19. Let u be r(18). Let k(c) = -9*c**3 - 2*c**2 - 2*c - 1. Calculate k(u).
8
Let v(r) = -r**2 - 3*r. Let y be v(-4). Let m(p) be the first derivative of p**3/3 + p**2 - 4*p + 682. What is m(y)?
4
Suppose -33 = -o + 2*h, -3*h + 4 = -8. Let n(t) = -37 + t**2 + t**2 - t**2 + 5*t + o. Calculate n(-4).
0
Let u(g) = -g - 4. Suppose -4*z + 16 = p, -3*z + 7 = -3*p - 5. Let q(i) = -1 + i + 2 + p - 4. Let y be q(7). What is u(y)?
-8
Let r(x) = -x + 9. Let p be r(9). Let h(a) = -8 - 21*a + 19*a + p. Calculate h(-7).
6
Let p(b) = b**3 + 9*b**2 - 12. Let i be -4 + 152/36 + (-1160)/(-45). Let c = i + -35. Give p(c).
-12
Let k(p) be the third derivative of -1/6*p**4 - 1/3*p**3 + 0 + 0*p - 10*p**2. Give k(-2).
6
Let m(i) = i**3 - 7*i**2 - 12*i + 11. Let h be ((-12)/8)/(3/(-16)). Determine m(h).
-21
Let p(j) = -4 - 4*j**2 - 3*j**3 + 4*j**3 + 3*j**2 - 3*j. Suppose -2*z + 4*y + 12 = 0, -5*z - 5*y = -y - 58. Let f = -7 + z. Calculate p(f).
5
Let z(m) be the second derivative of -m**3/3 + m**2/2 - 7*m. Let i(p) = -2*p. Let o(f) = 5*i(f) - 4*z(f). Calculate o(-3).
2
Suppose 6*c - 143 = 17*c. Let b(y) = y**2 + 12*y - 6. Determine b(c).
7
Let q(w) be the third derivative of w**5/60 - w**4/24 + w**3/3 - 32*w**2. Determine q(3).
8
Let u(d) = 5*d + 1. Let q(o) be the third derivative of 0*o - 7/12*o**4 + 0 - 1/2*o**3 - 5*o**2. Let z(b) = 6*q(b) + 17*u(b). Determine z(4).
3
Suppose -5*t - 1 = -6. Let z be (t + -2)/(1/(-2)). Let a(k) = -4 + 2 - 4 + 4*k + 1 + 4. Determine a(z).
7
Let r(s) = 49*s - s**2 + 5 + 19*s - 64*s. Determine r(3).
8
Let n = -60 + 54. Let u(o) = o + 14. Let b be u(-12). Let p(t) = b*t**2 - 4 - t**2 + 5*t - 2. Give p(n).
0
Let f(s) = -s**2 - 5*s + 5. Let h be f(-5). Suppose 5*o + 15 = 4*n + 2, 0 = -5*o - h. Let t(b) = -n + 5 + b - 5. Determine t(0).
-2
Let l = -58 - -90. Suppose 2*n = -6*n - l. Let t(o) = -o**3 - 3*o**2 - 2*o - 3. Let j(g) = g**3 + 3*g**2 + 3*g + 4. Let y(h) = 5*j(h) + 6*t(h). Calculate y(n).
6
Let j(b) = b**2 + 11*b - 13. Suppose -108 = 2*z + 7*z. Calculate j(z).
-1
Let b(u) = u**2 - 8*u + 2. Let c = -21 - -23. Suppose -a - c*a = 6. Let l be 180/24 + a/4. Give b(l).
-5
Let j(b) = -9*b. Let t(d) = -4*d + 54. Let p be t(15). Give j(p).
54
Let g(n) = n**3 - 5*n**2 - 9*n + 9. Let l = -20 + 35. Suppose -3*x - 3*y - l = -4*y, 5*x - 2*y + 26 = 0. Let z be 2/(-16)*x*12. Give g(z).
-9
Let h(i) = i**3 - i**2 + 1. Let a(k) be the first derivative of k**3/3 - 17*k**2/2 - 19*k - 11. Let l be a(18). Give h(l).
-1
Let d(c) = -c**3 - 2*c**2 + 11*c + 12. Let i be d(-4). Let n(b) = b**2 - b + 9. Determine n(i).
9
Let m(g) = 5*g - 1. Let c(k) = k**3 + 4*k**2 - 6*k - 3. Let v be c(-5). Suppose j - v*j = 0. Suppose -5*z - p + 14 = j, -3*p + 3 = 4*z - 6. Give m(z).
14
Suppose 3*l - 3*b = -0*b - 27, -l + 11 = 4*b. Let z be (-6)/(l + 3) - -2. Let x(y) = y - 5*y - y**3 + 27*y**2 - 20*y**2 + 4 - 4*y. Calculate x(z).
14
Let d(y) = y**3 + 2*y**2 - 2*y - 3. Let w = 584 + -587. Calculate d(w).
-6
Let u(x) = -10*x**3 - x**2 + 2*x - 1. Let z be -1*2 + 2 - 3. Let n(v) = 4*v**2 + 21*v + 6. Let h be n(-5). Let d be 3*h/(z + 6). Calculate u(d).
-10
Suppose -555 + 579 = -6*q. Let z(d) = -d**3 - 5*d**2 - d + 6. Determine z(q).
-6
Let r(b) = 3*b**3 - 2*b**2. Let j(x) = -x**3 - x**2 + 1. Let f = 6 + -10. Let g(c) = f*j(c) - r(c). Let s = -26 - -20. Calculate g(s).
-4
Let a = -594 - -602. Let d(j) = j - 5. Give d(a).
3
Let p(x) = -1 - 3*x - 1 - x**2 + 2*x. Let b be 35/42*-3 - 1/(-2). What is p(b)?
-4
Let d = 35 + -17. Suppose 0 = h + d - 15. Let o(m) = m**2 + 4*m + 1. Calculate o(h).
-2
Let w(v) = -v**2 - 6*v - 10. Let s be w(-7). Let y = s - -24. Let f(g) = 20 - g**3 - g - y + 2*g**2 + 4*g**2 - 12. Give f(6).
-5
Let q(b) be the second derivative of b**4/12 + 2*b**3/3 - 13*b. Let r be q(-5). Let o(l) = -l**2 + 6*l + 4. What is o(r)?
9
Let b = -1269 + 1270. Let a(l) = -6*l - 2. Give a(b).
-8
Let o be (-25)/5*1*1/(-5). Let a(r) be the first derivative of 5*r**4/2 - r - 9. Calculate a(o).
9
Let n(l) = -5*l**3 - 14*l**2 - 27*l + 18. Let m(b) = -b**3 - b**2 - b + 1. Let z(y) = 6*m(y) - n(y). Give z(10).
-2
Let u(g) = 13*g + 19. Let q be u(-1). Let z(m) = -m. Calculate z(q).
-6
Let v(g) be the first derivative of -g**3/3 + g**2 - 3*g - 2. Let b be -9*6*1/(-18). Determine v(b).
-6
Let p(q) = 2*q**3 - 3*q**2 - 2*q - 2. Let s be (4/(3 + -5) - -5)*1. Give p(s).
19
Let b be (-58)/10 + 2/(-10). Let n(h) be the first derivative of h**4/24 - h**3/3 - 5*h**2/2 + 7. Let r(l) be the second derivative of n(l). Calculate r(b).
-8
Let d(a) = 4*a + 3. Let u(l) = -2*l - 14. Let m be u(-5). Determine d(m).
-13
Let g(q) = -6*q**2 + q**3 + 6*q + 0*q - 3 + q**2. Let d = -2564 + 2568. What is g(d)?
5
Let n(p) = -2*p**2 + 3*p**2 - 1 + 1 - p**3 - p + 2. Suppose 2*i = -3*r - r + 16, 0 = -2*i + r - 9. Let x be (-3)/i*8/6. Give n(x).
-4
Let b(r) be the second derivative of 3*r**5/4 - r**4/12 - r**3/6 + r**2 - 10*r - 4. Give b(1).
15
Let g(o) = -3*o**2 + 4*o + 1. Let q(y) = 10*y**2 - 12*y - 4. Let m(r) = -7*g(r) - 2*q(r). Suppose 13*u - 19*u = 276. Let x = 49 + u. Calculate m(x).
-2
Let h(y) = -2*y**3 - 26*y**2 + 3. Let z be h(-13). Let v(x) be the first derivative of 2 + 0*x + 1/2*x**2 - 4/3*x**z. Calculate v(-1).
-5
Let c(t) = -2*t**3 + 3*t**2 + 2*t - 10. Let y(k) = -k**3 + 4*k**2 + k - 9. Let b(f) = 2*c(f) - 3*y(f). Let n be ((-55)/(-33))/((-1)/3) - 2/2. What is b(n)?
1
Let o(i) = -2*i**2 - 10*i - 3. Suppose 23*s = 19*s - 5*m - 36, s = -m - 8. Give o(s).
5
Suppose -4*f = -f. Let k(r) = -r - 56 + 24 + 2*r + 16. Calculate k(f).
-16
Let a(w) = 22*w**3 - w**2 + 1. Suppose -5*l = -5*s + 239 - 14, 2*l + 40 = s. Let f = s - 51. Give a(f).
-22
Let p(f) be the second derivative of -1/6*f**4 + 0*f**2 + 1/6*f**3 + 0 + 12*f - 1/5*f**5. What is p(1)?
-5
Let f(c) = -c + 3. Let x be f(0). Let h(m) = -43*m - 129. Let a be h(-3). Let u(v) = a*v - 3*v - 5*v**2 + v**x - 1 + 4*v - 5. Determine u(5).
-1
Let c(j) be the third derivative of -j**6/360 - j**5/60 - 11*j**4/12 - 8*j**2. Let g(w) be the second derivative of c(w). Give g(-2).
2
Suppose 36*t + 515 = 83. Let i(v) = v**2 + 7*v - 56. What is i(t)?
4
Let j(k) be the first derivative of k**2/2 - k - 104. Determine j(-6).
-7
Let p(k) = 6*k + 12. Let d(r) = -7*r - 13. Let b(j) = -5*d(j) - 6*p(j). Let x be b(-10). Let u(q) = -q + q**2 - 3*q**2 + 3 + 3*q**2 - 1 + q**x. What is u(-2)?
0
Let f(k) = -k**2 + 11*k - 6. Let q(n) = 44*n + 272. Let y be q(-6). Calculate f(y).
18
Let j(s) = 5*s**3 + 16*s**2 - 5*s - 10. Let x(n) = n**3 + 1 - 3 + 51*n - 52*n + 3*n**2 + 0. Let g(r) = -2*j(r) + 11*x(r). Give g(3).
31
Let x(c) = -c**2 - 11*c - 3. Let s(o) = o**3 - 2*o**2 - 11*o + 4. Let m be s(-3). Give x(m).
21
Let h(a) = 2 - 4 + 84*a - a**3 - 84*a + 4*a**2. Calculate h(4).
-2
Let o(n) = -n**3 - 6*n**2 - 7*n - 5. Suppose -6*m = -7*m. Suppose -s = 4 - m. Give o(s).
-9
Let h(a) = 46*a**3 + 20*a**2 + 7*a + 10. Let l(g) = 25*g**3 + 10*g**2 + 4*g + 5. Let v(y) = 6*h(y) - 11*l(y). What is v(-10)?
25
Let i(u) = u**2 + 8*u + 7. Suppose -m = 2*a - 8, 0*m = 3*m. Suppose 0 = a*t - 2*z, -t - 3 = -z - 1. Suppose t*x = -x - 15. What is i(x)?
-8
Suppose -r = 2*h + 8, -2*r = 3*r - h - 15. Let n = -676 - -679. Suppose -5*c - 6 = -2*c - n*s, 4 = -r*c + s. Let l(i) = -i**3 - 3*i**2 - i + 2. Determine l(c).
0
Let q(w) = -12*w**2 + 44*w - 7. Let b(i) = -5*i**2 + 21*i - 4. Let a(h) = 5*b(h) - 2*q(h). Give a(17).
-6
Let a(o) = -59*o**2 + 49*o**2 + 8*o**2 + o**3 - 2 - 2*o. Calculate a(3).
1
Suppose 5 - 3 = 2*x. Suppose -5*i = -4*g + 14, 4*g - x = i + 5. Let h(t) = -5*t**3 + 2*t**2 - 2*t + 1. Determine h(g).
-4
Let o = -14 + 4. Let p = -33 - o. Let n = p + 20. Let a(d) = -2*d - 3. Give a(n).
3
Sup | {
"pile_set_name": "DM Mathematics"
} |
alculate the greatest common divisor of 4450 and 585350.
50
What is the highest common factor of 1283579 and 2123?
11
What is the highest common divisor of 209202 and 4662?
42
What is the greatest common factor of 5665 and 13247245?
55
What is the highest common divisor of 25655 and 193445?
35
Calculate the highest common divisor of 6569699 and 166.
83
Calculate the highest common divisor of 14256 and 765094.
22
Calculate the greatest common factor of 132 and 61634584.
44
Calculate the greatest common divisor of 551 and 4723723.
551
What is the greatest common divisor of 495583 and 58168?
11
Calculate the greatest common divisor of 60 and 60326430.
30
Calculate the greatest common factor of 37248 and 3561452.
388
Calculate the greatest common factor of 778158 and 12240.
306
Calculate the highest common divisor of 8312 and 154977240.
8312
Calculate the highest common divisor of 2223400596 and 37.
37
What is the greatest common factor of 30487116 and 22771?
3253
Calculate the greatest common divisor of 10 and 29656310.
10
What is the greatest common factor of 35794 and 1350910?
22
Calculate the greatest common factor of 32004 and 812574.
126
Calculate the highest common factor of 364 and 1229652788.
364
Calculate the greatest common divisor of 11768 and 3174418.
2942
What is the highest common divisor of 3612698 and 266?
38
Calculate the highest common divisor of 5880 and 44580.
60
What is the greatest common divisor of 552292 and 8968?
76
What is the greatest common divisor of 1305 and 4306275?
45
What is the greatest common divisor of 92825 and 83425?
1175
What is the greatest common factor of 25 and 1191626225?
25
Calculate the greatest common divisor of 23903176 and 447.
149
What is the greatest common factor of 75529 and 476627?
47
What is the greatest common divisor of 13532392 and 11792?
536
Calculate the greatest common divisor of 4018383 and 54.
27
What is the greatest common factor of 19200 and 1617792?
384
Calculate the greatest common factor of 13689494 and 546.
182
What is the greatest common divisor of 124 and 2455832?
4
What is the highest common divisor of 160820 and 6191140?
860
Calculate the highest common divisor of 15852 and 118933593.
3963
Calculate the greatest common divisor of 2772 and 62102502.
1386
What is the greatest common factor of 66723 and 12351?
69
Calculate the highest common divisor of 2610 and 36496935.
1305
Calculate the greatest common divisor of 148628 and 2760816.
2036
What is the greatest common factor of 822595 and 800825?
1555
Calculate the highest common factor of 713 and 4334885.
31
Calculate the greatest common divisor of 2 and 432536272.
2
Calculate the greatest common divisor of 19 and 182022185.
19
Calculate the greatest common divisor of 206190 and 245601.
261
Calculate the highest common factor of 385 and 15469960.
55
Calculate the highest common divisor of 2790 and 5498811.
279
Calculate the highest common divisor of 10 and 233422.
2
What is the greatest common factor of 2198 and 47887?
7
Calculate the highest common factor of 11129095 and 20.
5
What is the highest common factor of 52888 and 34833359?
6611
Calculate the highest common divisor of 28198239 and 2451.
129
Calculate the highest common divisor of 3684430 and 150.
10
Calculate the highest common divisor of 1222323 and 43677.
633
Calculate the greatest common factor of 864 and 695169.
27
Calculate the greatest common divisor of 615846 and 1800.
6
What is the highest common factor of 91704 and 768?
24
Calculate the highest common factor of 133878625 and 43903.
1021
Calculate the greatest common factor of 164328230 and 32835.
10945
What is the highest common factor of 33 and 2684363?
11
What is the greatest common factor of 195245 and 53125?
85
Calculate the highest common divisor of 37215 and 3735.
45
Calculate the greatest common divisor of 9280 and 1499200.
320
Calculate the greatest common factor of 4747 and 826310290.
4747
Calculate the highest common divisor of 13111064 and 1520.
152
Calculate the greatest common factor of 246 and 1937087517.
123
Calculate the greatest common divisor of 1004661 and 5412498.
9051
What is the highest common factor of 464 and 6270264?
232
What is the highest common divisor of 565 and 73123543?
113
Calculate the highest common factor of 323 and 1592219.
19
Calculate the highest common divisor of 424264 and 216.
8
Calculate the greatest common divisor of 19 and 5475781.
19
Calculate the greatest common factor of 460122 and 35047.
347
What is the greatest common factor of 18262 and 4800974?
46
What is the highest common divisor of 7934058 and 71706?
4218
What is the highest common divisor of 28 and 9238334?
14
Calculate the greatest common divisor of 40 and 3480390.
10
What is the highest common divisor of 291 and 775078209?
291
What is the highest common divisor of 2156 and 981904?
308
Calculate the highest common divisor of 48 and 544584.
24
Calculate the highest common divisor of 1140 and 17658980.
380
Calculate the greatest common divisor of 38918423 and 527.
527
Calculate the greatest common divisor of 603 and 46906633.
67
Calculate the greatest common factor of 20860 and 327460.
140
What is the greatest common factor of 28605892 and 196?
28
What is the highest common divisor of 198566 and 188062?
202
What is the highest common factor of 898538 and 5?
1
Calculate the highest common divisor of 217158 and 10625.
17
What is the highest common divisor of 5025 and 2246979?
201
Calculate the highest common divisor of 700378128 and 96.
48
What is the highest common divisor of 5742550 and 825?
275
Calculate the highest common divisor of 877 and 17434760.
877
What is the greatest common factor of 611062 and 3324?
554
What is the greatest common divisor of 301 and 826980?
7
Calculate the highest common factor of 1578711 and 31641.
159
Calculate the greatest common divisor of 1173 and 2263533.
51
Calculate the greatest common divisor of 2148784 and 572.
44
Calculate the highest common factor of 7533 and 23965146.
243
What is the greatest common factor of 318063 and 28418?
1093
What is the highest common factor of 1296 and 11571120?
432
Calculate the highest common divisor of 140 and 516080.
20
Calculate the highest common factor of 24588492 and 12.
12
What is the greatest common factor of 255 and 2098497?
51
Calculate the greatest common divisor of 1330992 and 16115112.
8424
Calculate the greatest common factor of 4355 and 8867651.
871
Calculate the highest common factor of 876018 and 1056.
66
What is the greatest common divisor of 29291194 and 201?
67
What is the greatest common factor of 289339118 and 6316?
3158
Calculate the greatest common factor of 299803009 and 473.
473
Calculate the greatest common factor of 707964 and 1428.
12
Calculate the highest common divisor of 49 and 22173431.
49
What is the highest common factor of 11 and 48020973?
11
What is the greatest common factor of 362 and 12330444?
362
What is the highest common factor of 3246992 and 560?
112
What is the greatest common divisor of 156 and 16356548?
52
What is the greatest common factor of 7189785 and 135?
45
What is the highest common divisor of 52626112 and 1344?
448
Calculate the highest common factor of 2572966 and 44.
22
What is the highest common factor of 6 and 545502?
6
What is the greatest common factor of 25618474 and 2044?
1022
What is the greatest common divisor of 467568 and 26775?
153
What is the greatest common divisor of 10366 and 3379742?
142
What is the greatest common factor of 1759960 and 8280?
920
What is the greatest common factor of 6858 and 47411894?
254
Calculate the greatest common factor of 4340 and 332333640.
620
What is the highest common divisor of 10141992 and 40824?
504
Calculate the greatest common divisor of 43880123 and 77.
7
What is the greatest common factor of 2035 and 1698485?
185
What is the highest common divisor of 5268860 and 12?
4
Calculate the greatest common divisor of 67507286 and 1574.
1574
Calculate the greatest common factor of 567 and 20629809.
81
Calculate the greatest common factor of 206 and 601417.
103
Calculate the highest common divisor of 1716 and 15966366.
78
What is the highest common factor of 11027522 and 8041?
473
Calculate the greatest common divisor of 1264500 and 16500 | {
"pile_set_name": "DM Mathematics"
} |
= u**3 - 74*u**2 - 85*u + 1087. Calculate f(75).
337
Let w(x) = 20647*x + 226981. What is w(-11)?
-136
Let h(x) = -x**2 + 2419*x + 53695. Calculate h(-22).
-7
Let t(o) = -o**3 - 88*o**2 - 246*o - 1458. What is t(-86)?
4906
Let i(t) = -5*t**3 + 38*t**2 - 69*t - 108. Calculate i(-1).
4
Let y(p) = 7322*p - 7387905. Give y(1009).
-7
Let a(b) = 2*b**2 - 87*b + 325. Give a(35).
-270
Let h(q) = 26*q**2 + 21037*q - 148517. Calculate h(7).
16
Let n(y) = -23*y + 4264. What is n(67)?
2723
Let h(w) = 358693*w + 6097777. What is h(-17)?
-4
Let r(y) = -442*y + 782. Determine r(4).
-986
Let o(s) = -s**3 - 52*s**2 - 13*s + 1943. Determine o(-51).
5
Let w(i) = -64*i**2 + 1796*i - 11040. Calculate w(19).
-20
Let c(k) = 2*k**2 - 185*k - 873. What is c(97)?
0
Let t(h) = 60*h + 8430. Determine t(-140).
30
Let t(z) = 7*z**3 + 3*z**2 - 253*z + 645. Determine t(3).
102
Let r(v) = 2*v**3 - 469*v**2 + 7596*v - 164. Calculate r(217).
53
Let y(c) = 3*c**2 + 1068*c - 39775. Calculate y(34).
5
Let t(y) = -60058*y - 3122988. What is t(-52)?
28
Let a(u) = u**3 + 64*u**2 + 141*u + 1179. What is a(-62)?
125
Let o(s) = -s**3 + 152*s**2 + 235*s - 37518. Give o(152).
-1798
Let c(i) = 2*i**3 - 455*i**2 + 25788*i - 102. Calculate c(107).
5
Let p(r) = 5*r + 276. Determine p(-10).
226
Let o(h) = -94*h**2 - 1245*h + 6481. Give o(4).
-3
Let z(j) = -1941*j**2 + 242632*j - 896. What is z(125)?
-21
Let j(z) = -91*z**2 - 631*z - 1081. Give j(-3).
-7
Let t(u) = 148039*u - 12435271. Give t(84).
5
Let b(z) = 1286*z - 152952. Determine b(119).
82
Let a(j) = 3*j**2 + 172*j - 120. Calculate a(-59).
175
Let u(x) = -2*x**3 - 2301*x**2 + 5827*x + 2731392. Determine u(-1152).
0
Let i(f) = f**2 - 494*f - 2009. Calculate i(-4).
-17
Let x(k) = -31*k**2 - 364*k + 575. Give x(2).
-277
Let u(g) = 5*g**2 - 22*g - 5205. Give u(-34).
1323
Let a(n) = n**3 - 97*n**2 - 953*n - 253. What is a(106)?
-147
Let s(y) = -y**3 - 2*y**2 + 736*y - 734. Give s(1).
-1
Let w(z) = -2*z**3 - 251*z**2 + 310*z - 8942. What is w(-127)?
75
Let y(c) = c**3 - 88*c**2 + 102*c - 1347. What is y(87)?
-42
Let k(r) = r**3 - 19*r**2 - 325*r - 83. Calculate k(30).
67
Let d(r) = 11434*r - 3407331. Determine d(298).
1
Let z(v) = v**3 - 47*v**2 + 544*v + 333. Calculate z(26).
281
Let q(o) = -35086*o + 13332666. Calculate q(380).
-14
Let y(t) = -t**3 + 80*t**2 - 42931*t + 3434490. What is y(80)?
10
Let g(w) = 2*w**3 + 65*w**2 + 56*w - 90. Determine g(-31).
1057
Let c(z) = 11*z**2 + 2503*z - 777. Give c(-228).
363
Let z(g) = -g**2 - 296*g + 4419. Give z(14).
79
Let n(c) = -c**3 + 169*c**2 - 3225*c - 1301. What is n(147)?
22
Let d(t) = 21613*t + 821719. Calculate d(-38).
425
Let r(q) = q**3 + 30*q**2 - 11400*q - 372968. Determine r(-33).
-35
Let z(t) = 6*t**2 - 335*t - 1538. Calculate z(60).
-38
Let b(a) = 335*a - 11070. What is b(27)?
-2025
Let f(d) = -14*d**2 + 3002*d - 1302. Give f(214).
-18
Let z(c) = c**3 - 682*c**2 + 537*c + 98070. Calculate z(681).
6
Let i(j) = 20*j**3 - 2*j**2 + 192*j - 776. Calculate i(4).
1240
Let c(u) = 11013*u**2 - 143145*u - 318. What is c(13)?
-6
Let c(u) = 25*u**2 + 1839*u - 10749. Give c(-79).
-5
Let i(l) = -l**3 - 11*l**2 + 1204*l + 710. What is i(30)?
-70
Let n(u) = -4496*u - 2616667. Determine n(-582).
5
Let l(p) = 4*p**2 + 13749*p + 41197. Determine l(-3).
-14
Let u(f) = f**3 - 19*f**2 - 313*f + 160. Determine u(-11).
-27
Let u(a) = 3*a**2 - 537*a + 15126. Calculate u(35).
6
Let n(v) = 76960*v + 5079352. Determine n(-66).
-8
Let j(h) = 2*h**3 + 19*h**2 - 175*h - 41. Calculate j(-15).
109
Let g(l) = -2*l**3 + 32*l**2 + 53*l - 828. Calculate g(16).
20
Let p(u) = 11112*u - 22225. Determine p(2).
-1
Let u(c) = -c**2 + 354*c - 20844. Give u(279).
81
Let j(y) = 14185*y + 50881. What is j(-4)?
-5859
Let s(k) = -2764*k + 621921. What is s(225)?
21
Let c(y) = -y**3 - 29*y**2 + 231*y - 13. Give c(6).
113
Let q(t) = -16610*t + 99720. Give q(6).
60
Let y(o) = -1917*o - 16820. Give y(-9).
433
Let f(i) = -953220*i - 11438640. Determine f(-12).
0
Let t(b) = 12196*b - 3634420. Determine t(298).
-12
Let c(u) = -u**3 - 102*u**2 - 1537*u + 3328. Give c(-83).
8
Let s(w) = 107*w**3 - 10*w**2 + 21. Give s(2).
837
Let o(n) = 2*n**3 - 263*n**2 + 1844*n + 1989. What is o(124)?
5
Let o(r) = 3478*r - 97163. Give o(28).
221
Let z(a) = -a**3 - 12*a**2 + 540*a - 17. Determine z(-31).
1502
Let n(w) = -966*w - 3731. What is n(-4)?
133
Let v(j) = -j**3 + 24*j**2 + 378*j - 97. Calculate v(34).
1195
Let n(o) = -o**3 + 15*o**2 - o + 64. Determine n(7).
449
Let q(v) = 2*v**3 + 41*v**2 + 99*v + 331. Determine q(-18).
169
Let g(y) = -5*y**2 + 1107*y - 28418. What is g(30)?
292
Let n(v) = -3*v**3 - 224*v**2 + 78*v + 124. Give n(-75).
-101
Let i(k) = 3*k**3 + 23*k**2 - 71*k - 8. Determine i(-10).
2
Let v(m) = -225*m + 4094. Determine v(20).
-406
Let t(h) = 3774*h + 6371. Determine t(-2).
-1177
Let w(a) = a**3 + 30*a**2 + 14404*a + 447498. Determine w(-31).
13
Let d(q) = -q**3 - 673*q**2 - 12421*q + 3300. What is d(-654)?
30
Let p(a) = 6*a**2 + 260*a - 83095. Calculate p(98).
9
Let s(n) = -2*n**3 - 8*n**2 + 185*n + 1150. Calculate s(-6).
184
Let k(r) = -r**3 - 105*r**2 - 186*r + 2797. Calculate k(-103).
737
Let k(w) = -552*w - 2651. Determine k(-8).
1765
Let n(v) = 63*v**2 - 4440*v + 2259. What is n(70)?
159
Let o(a) = -638*a - 24460. What is o(-39)?
422
Let d(l) = 24*l**3 + 1777*l**2 + 70*l - 281. Give d(-74).
15
Let r(c) = 2*c**2 - 578*c + 25074. What is r(236)?
58
Let c(y) = 4*y**3 - 26*y**2 + 41*y + 95. Calculate c(4).
99
Let h(t) = 536*t + 32568. Determine h(-62).
-664
Let z(u) = u**2 - 171*u + 3580. Give z(26).
-190
Let j(k) = k**3 + 49*k**2 - 4365*k - 238. What is j(46)?
-8
Let u(x) = 46*x - 823. What is u(21)?
143
Let j(d) = 26765*d - 695845. Calculate j(26).
45
Let z(a) = 41*a**2 - 3*a + 68. Give z(4).
712
Let a(i) = 15*i**2 + 205072*i - 410143. Give a(2).
61
Let o(m) = -3336*m + 53542. Calculate o(16).
166
Let u(a) = -439*a + 77145. Calculate u(176).
-119
Let g(h) = 69120*h - 414701. Calculate g(6).
19
Let k(z) = z**2 - 97*z - 894. Determine k(-9).
60
Let p(c) = -36534*c + 365338. Calculate p(10).
-2
Let o(d) = -773*d**2 - 12398*d + 13. Determine o(-16).
493
Let a(w) = -167*w**2 + 1490*w + 1491. Determine a(-1).
-166
Let y(w) = -303*w + 65178. Determine y(218).
-876
Let d(m) = 326*m**3 + 442*m**2 + 443*m - 1. Calculate d(-1).
-328
Let k(p) = 48*p**3 + p**2 + 138*p + 426. Calculate k(-3).
-1275
Let d(n) = -119*n - 18818. Give d(-157).
-135
Let d(n) = -n**2 - 358*n + 18990. Determine d(47).
-45
Let x(f) = 5*f**3 + 224*f**2 - 622*f - 25964. Determine x(-45).
1
Let b(p) = -9871*p - 50635. Calculate b(-5).
-1280
Let u(s) = -17*s**2 - 263*s + 2939. Determine u(-23).
-5
Let o(l) = 5*l**3 - 57*l**2 + 15*l + 132. Determine o(12).
744
Let q(f) = -4738*f - 554378. Determine q(-117).
-32
Let l(g) = 19*g**3 + 111*g**2 + 38*g + 320. Give l(-6).
-16
Let q(o) = -18894*o - 132263. Determine q(-7).
-5
Let b(t) = -461*t**2 - 778*t + 280. Calculate b(-2).
-8
Let y(d) = -d**2 - 46*d + 3000. Calculate y(34).
280
Let z(r) = 103088*r + 10102624. Give z(-98).
0
Let f(m) = 1233*m - 1055442. Determine f(856).
6
Let q(t) = 654*t - 151611. What is q(232)?
117
Let n(s) = 358*s + 40451. Determine n(-113).
-3
Let w(h) = -h**3 + 178*h**2 - 2312*h + 2864. Determine w(164).
240
Let b(z) = -18431*z**2 - 442330*z + 311. Give b(-24).
-25
Let j(t) = 23874*t + 95357. Determine j(-4).
-139
Let u(n) = -7*n**2 + 417*n + 6153. What is u(73)?
-709
Let l(g) = -6*g**2 - 1082*g - 6587. Give l(-174).
25
Let o(p) = 14943*p + 29822. Give o(-2).
-64
Let o(k) = 3*k**3 - 150*k**2 - 321*k - 34. What is o(-2)?
-16
Let f(i) = -228*i + 12898. What is f(38)?
4234
Let t(u) = -356*u - 4508. Determine t(-13).
120
Let z(s) = 2*s**3 + 655*s**2 - 983*s + 1010. Determine z(-329).
-306
Let o(c) = -4*c**2 - 1238*c - 5930. Give o(-302).
3130
Let o(v) = v**2 + 26552*v - 239079. Determine o(9).
-30
Let g(d) = 8*d**3 - 23*d**2 - 8*d + 1. What is g(3)?
-14
Let v(f) = 2368*f - 40158. Give v(17).
98
Let f(l) = 597*l + 4105. Calculate f(-6).
523
Let h(x) = 42692*x + 1622322. What is h(-38)?
26
Let i(q) = -147*q**2 - 17044*q + 60. Give i(-116).
-868
Let i(f) = 230*f**2 + 230448*f - 12018. What is i(-1002)?
6
Let t(i) = 2*i**3 - 53*i**2 + 148*i + 326. Calculate t(23).
27
Let y(i) = i**3 + 449*i**2 + 16360*i - | {
"pile_set_name": "DM Mathematics"
} |
What is ((-12)/(-60))/((-36)/75)*37/((-87875)/57)?
1/100
What is (2*(-3)/(-39)*1)/(2720/416)?
2/85
Calculate (-3)/4*785536/8664.
-68
(-6608)/1416*(-110)/140
11/3
3/129*(72/(-84))/((-21)/((-147)/2))
-3/43
Evaluate (54/(-9153))/((-3)/(-9)).
-2/113
((-8)/60*27)/(8/(-220)*-11)
-9
Evaluate ((-1235)/(-494))/((2/(-6))/(((-17856)/(-135))/16)).
-62
Evaluate -23*312/(-312)*(-2)/10.
-23/5
Calculate (-646)/19*(-4)/(-8).
-17
What is the value of 2*2*1*-14*(-7)/38416*4?
2/49
Calculate (-2)/2*((-17)/(-68))/(60/(-3984)).
83/5
Evaluate (7*(160/(-8))/(-20))/((-2)/(-10)).
35
Calculate 77/(44044/2145)*(4/15)/(4/10).
5/2
Calculate (90/(-4))/5*25/30450*29*16.
-12/7
What is the value of 1*(-110)/180*656/(-902)?
4/9
What is the value of 24420/(-1480)*24/(-22)?
18
Calculate ((128/(-380))/8)/((-4)/(-18)*522/(-58)).
2/95
What is ((-1696)/(-106))/(128/312)?
39
Evaluate 1/(8/20*(-230)/(-1196)).
13
What is the value of (11*34/(-12342))/((-4)/24)?
2/11
Calculate (6/(-10))/(15/825*15)*(-30)/(-42).
-11/7
(13/377)/(264/1276)
1/6
Evaluate (12/64)/(1440/(-2688))*8.
-14/5
Evaluate ((-149)/(35760/864))/(((-6)/(-75))/(-1)).
45
What is 3/24*-2*0/(1885/(-65))?
0
(-10)/(-6)*9/2*74702/13665
41
What is ((-645)/12040)/(24/(-32))?
1/14
What is (-491200)/514225*2/32?
-4/67
Calculate ((336/2583)/4)/(45/18*(-4)/15).
-2/41
Calculate (-8)/((-3760)/141)*(-260)/(-3).
26
What is (((-656)/(-32))/(297/(-22)))/(((-21)/18)/(-7))?
-82/9
Calculate (1/2)/((-120)/2177040*-193).
47
Calculate -2*((-9254)/(-5949))/((-8)/90).
35
What is the value of ((-2)/5)/(((-294528)/(-120))/(-59))*4/1?
1/26
((-12)/27)/(486/8748)
-8
24/(-15)*325/(-1820)
2/7
What is the value of ((15/5)/12)/(15/(-390))?
-13/2
What is the value of (240/(-180)*(-12)/(-32))/((-2)/(-64))?
-16
Calculate (5/(-4))/(2/4)*47/(-235).
1/2
4/(((-31)/(9114/(-112)))/(420/(-98)))
-45
Calculate ((-5696)/2432)/((-91)/3458).
89
What is ((-3)/72)/((-1)/(-5))*10*(-558)/(-18600)?
-1/16
What is the value of (-6)/58*1233283/(-8901)?
43/3
Calculate (-9912)/1770*(-168)/96*(-100)/42.
-70/3
Evaluate ((-108)/20)/((-344)/(-1720)).
-27
4*-2*((-60)/(-144))/((-340)/180)
30/17
What is the value of (-14292)/3176*(-2)/(-36)?
-1/4
What is ((1*(-12)/12)/(26/26))/(2/136)?
-68
What is -12*(-15)/120*((-20)/45)/((-5)/(-30))?
-4
(4422/335)/((1/(50/8))/((-16)/40))
-33
What is (330/3575)/((36/15)/((-45)/(-30)))?
3/52
Evaluate 16/(-6)*(-540)/(-8)*15/(-50)*1.
54
Evaluate (-540)/24*12/10*185/111.
-45
What is ((-78)/13)/(24/(-20)*30/162)?
27
Evaluate (-256)/(-3)*3096/24768.
32/3
Calculate (-1)/2*1800/9225*328.
-32
Calculate (29/(986/(-510)))/(((-63)/39)/7).
65
What is the value of (42/(-20))/(36/980*574/(-492))?
49
Calculate (2/(32/18))/(((-1620)/3888)/((-15)/(-27))).
-3/2
What is the value of ((18/(108/15))/(1/(-2)))/((-1)/12)?
60
(-21)/(-12)*(-1628)/154*2
-37
What is the value of ((-99)/(-363))/(((-323)/3179)/(-19))?
51
140360/(-440)*6/132*-2
29
Calculate (6/(-15))/((-9)/(216/1736)*10/(-175)).
-3/31
Calculate (6/(-48)*4)/(((-15)/(-370))/(-3)).
37
Calculate (-48)/(-4)*37026/(-8712).
-51
What is ((-17)/(-306))/(16/(-288))?
-1
Evaluate 4/(-170)*(-130)/156*2067/4823.
1/119
What is the value of ((-60)/56)/((-1083)/20216)?
20
What is 18227/(-18227)*(-124)/(-15)*(-3)/(-2)*-5?
62
What is the value of 1710/399*(-294)/(-189)*30/(-4)?
-50
What is the value of (-4)/(320/664)*(-580)/58?
83
((((-70)/(-14))/(-10))/(2/12))/(6/28)
-14
What is the value of ((-13078)/4024)/((-13)/16)?
4
What is (58/232)/(4/40)*468/30?
39
What is the value of ((-21056)/(-1410))/56*36/(-16)?
-3/5
Evaluate ((-280)/2)/(((-35)/(-1610)*-46)/((-4)/(-10))).
56
Evaluate 1*-11*(-24021)/(-15543).
-17
Evaluate (-9892)/(-113758)*(-3)/6.
-1/23
What is ((-2)/(-562))/(4887/(-3258)*3/9)?
-2/281
Calculate (4582/(-79))/((-783)/81).
6
Evaluate (1800/(-240))/(2325/(-806)).
13/5
(67/268)/(27/18*(-171)/(-54))
1/19
What is ((-9)/(-16))/((-8)/(-128))?
9
What is the value of 18/3*344/516*(-2)/172?
-2/43
((-4)/119)/(((-138)/(-1127))/((-54)/126))
2/17
What is 56/(-4508)*23*(-2)/(12/21)?
1
(-22194)/(-64116)*24/27
4/13
What is the value of (3325/38)/(-35)*41/((-1025)/(-390))?
-39
What is the value of (-240)/((-53280)/777)*2*(-2)/(-2)?
7
What is the value of ((-52920)/(-360))/(3/1)?
49
Calculate (80/(-288)*-6)/((1819/(-306))/(1/15)).
-2/107
What is (10692/(-99))/(-216)*(-12)/162*1?
-1/27
What is the value of (40416/3789)/(28/(-30)*-5)?
16/7
What is 720/(-55)*(127303/(-213))/163?
48
Calculate (((-10)/(-3))/(-2))/((-616)/264*210/2254).
23/3
Calculate (106/14)/(1*(-18)/252*-2).
53
What is (-16)/(-1)*(-5187)/6384?
-13
What is (-36)/192*-8*2/57?
1/19
Calculate 1075/(-15)*(-1359)/(-2265).
-43
6*(104/27144)/(5*(-5)/(-75))
2/29
What is the value of 30/57*424935/4970?
45
What is ((-22)/6)/((((-4)/(-16))/((-6)/(-8)))/(-1))?
11
What is the value of ((-24)/3876)/((-490)/9310)?
2/17
What is (5/(-10)*1)/(1740/1392)?
-2/5
What is the value of ((-4)/6)/(20*(-11)/(-594)*-3)?
3/5
Calculate (7/((-1680)/54))/(45/30).
-3/20
What is the value of ((-1197)/18)/(-19)*(-1)/(-4)*(-2480)/(-62)?
35
3/3*(-310)/140*-21*(-2)/(-1)
93
((-42)/2*(-110)/2310*23/2)/1
23/2
What is the value of ((-42)/10)/(542/2710)?
-21
-84*76/(-10640)*(-30)/(-4)*(-6)/(-1)
27
Calculate (6/585)/(16/(-24))*(-690)/414.
1/39
24*(-75)/2400*136/(-6)
17
Evaluate 3570*(-183)/(-8235)*(-12)/2*1/(-4).
119
What is the value of ((-16)/(-24))/((10*7/(-105))/44)?
-44
Calculate 2295/918*(-1001)/(-220)*6/7.
39/4
Evaluate (((-260)/(-936))/(2/4))/(34/72*15).
4/51
Calculate (3/(-10))/(3696/(-220)).
1/56
(8/(-7))/(17910/125370)
-8
(276/460)/(36/(-160))
-8/3
Evaluate (-39)/(-130)*(-272)/1224.
-1/15
Evaluate 777/(-2184)*13*(-12)/(-3).
-37/2
What is the value of 38*(-4)/2*38/2698*71?
-76
What is (-1*3/(-30))/(42/12495*34)?
7/8
Calculate ((-4)/2)/((2/(-35))/(79/(-127980)*54)).
-7/6
What is the value of ((-32)/(-1920))/(569/(-279948))?
-41/5
Evaluate (-41470)/(-14355)*((-16)/(-40))/(-1*4/15).
-13/3
What is the value of 2*3/1*2*45129/(-30086)?
-18
((-472)/944)/(10/15*6/(-152)*1)
19
What is the value of ((-152)/(-6))/((2/(-27))/(-30*(-37)/9990))?
-38
2/2*5502/(-28558)*-109
21
What is (21/(-595)*-2)/(1*(-8)/120)?
-18/17
(36/(-20)*-1)/((-3)/144*528/(-165))
27
Calculate (((-21504)/80)/(-224))/((-48)/(-15)*1).
3/8
What is (-3*1*(-30)/(-234))/(7*(-12)/546)?
5/2
What is the value of ((-2)/6*(-71)/(-142)*8)/((-8)/438)?
73
Calculate ((-9720)/(-300))/((-3)/((-9)/12))*(-6)/9.
-27/5
What is the value of ((-6)/(-30)*2)/(-5)?
-2/25
(-11*(-20)/(-3080))/(6/(-441))
21/4
Evaluate (15/(-582))/(465/(-372)).
2/97
Calculate 6/9*9/(-8)*64/(-56)*-14.
-12
What is 18/(-3)*(58667/42)/289?
-29
Calculate ((-182483)/(-597))/(518/222).
131
Calculate 294/(-6)*10/35*-7.
98
(-28)/182*13*(-260)/60
26/3
9/6*((-23674)/2508)/89*4/(-14)
1/22
What is (11/704*-8)/((-420)/448)?
2/15
Evaluate (-1)/(5*2/(-170))*(-335)/(-67).
85
Evaluate ((402/54)/((-28)/56))/((-12)/54).
67
What is 10/((-182)/(-168)*-12)?
-10/13
Calculate (-247)/(232180/(-564))*10/(-94).
-3/47
180/21*(-15162)/3249
-40
Evaluate ((-80)/(-3))/(-16)*(-750)/((-700)/(-28)).
50
What is the value of (1555038/(-105589))/(9/(-22))?
36
What is ((-5973)/5430)/(55/(-25))?
1/2
((-97461)/21756)/(-221)*4*-1
-3/37
What is the value of (((-855)/(-702))/(-19))/(((-24)/32)/((-9)/(-2)))?
5/13
Calculate (-1)/(56*46/(-6624)).
18/7
4/30*15595/(-53023)
-2/51
Calculate -40*-8*13/(-156)*-1*24/(-20).
-32
(-111)/(((-14)/(28/4))/(110/165))
37
Calculate 1/((-3)/4)*51*(-7)/(-10710).
-2/45
What is ((-294)/((-1449)/69))/(10/20)?
28
What is (-12300)/(-984)*11/(-25)?
-11/2
Evaluate ((-384)/756)/((-156)/9828).
32
Calculate ((-27)/108)/((-14)/(-1288)).
-23
Calculate 2*((-20865)/(-7540))/107.
3/58
(23/1)/(17*(-125)/6375)
-69
What is the value of (-2)/12*((-24)/34)/(37/(8177/(-26)))?
-1
Evaluate (-21)/(11256/(-67))*-88.
-11
What is the value of (-48)/(-3)*(518154/584)/273?
52
What is the value of -1*(-85)/(425/30)?
6
Calculate 95/228*4089/(-235).
-29/4
What is ((243/(-162))/((-3)/(-62)))/((-3)/(-6))?
-62
Evaluate ((-12)/(-70))/(1744/(-4360)).
-3/7
Calculate (-7)/15*(-109836)/(-24408).
-21/10
What is (24/(-15))/4*-1*6710/(-6039)?
-4/9
5/(-240)*-9*900/(-540)
-5/16
Calculate (-3*(-15)/(-10))/((-137)/((-184128)/63)).
-96
Evaluate ((-1428)/(-680))/(171/2280).
28
What is ((-9)/585*-767*(-10)/(-14))/((-64)/112)?
-59/4
Evaluate (40986/(-495))/((-342)/ | {
"pile_set_name": "DM Mathematics"
} |
47 is divided by u.
7
Calculate the remainder when 5/(-4 - (-39879)/9961) is divided by 89.
88
Suppose -10*o - 3 = -333. Suppose -o*d - 1425 = -38*d. Calculate the remainder when d is divided by 12.
9
Let c = -54 - -343. Suppose -59*s + 57*s = -58. Calculate the remainder when c is divided by s.
28
Let i(o) = -7*o**2 + 2*o + 2. Let u be i(2). Let m = 23 + u. Let x(z) = 74*z**2 + z - 1. What is the remainder when x(m) is divided by 19?
17
Let u be 54/(-12)*(-3 + 1). Suppose 135 - 621 = -u*y. Suppose -3*x - 4*d = -3*d - 44, d = 4*x - y. Calculate the remainder when 67 is divided by x.
11
Suppose -3 = -4*t + 5. Suppose -29 = t*m - 45. Suppose 0 = d - 11 - m. Calculate the remainder when 55 is divided by d.
17
Calculate the remainder when 4990 is divided by (-12352)/(-192) - (-1)/(-3).
62
Suppose 0 = x + h - 141, -h + 26 = 3*x - 399. What is the remainder when x is divided by 41?
19
Suppose -4*z - 7*z = -209. Calculate the remainder when 180/(-360) + 286/4 + 2 is divided by z.
16
Suppose -5*p = 5*g - 4495, -138*p = 5*g - 140*p - 4453. What is the remainder when 945 is divided by g?
52
Let a = -28243 - -29143. Calculate the remainder when 1810 is divided by a.
10
Let a(x) = x**3 + 59*x**2 + 218*x + 104. What is the remainder when 434 is divided by a(-55)?
6
Let w(i) be the second derivative of i**5/20 - 5*i**3/3 - 2*i**2 - 4*i. Calculate the remainder when w(5) is divided by 18.
17
Suppose 0 = -j + 15*j + 420. Let m(k) = -3*k - 3. Calculate the remainder when ((-40)/(-6) - 7)*j is divided by m(-3).
4
Suppose -2*b = 2*s - 4, -4*b + 4*s + 15 = -1. Suppose 10*n - 108 = -6*n + 4*n. Calculate the remainder when n is divided by b.
0
Suppose 18 + 6 = 12*p. Suppose -34*a = -385 - 363. Calculate the remainder when (-24)/(-8) - (p + -60) is divided by a.
17
Let w(b) = -b**3 + 5*b + 12. Let j be w(-4). Let t be (0 - 3/(-2)) + (-3780)/j. Let u = t - -81. Calculate the remainder when u is divided by 4.
3
Let w(y) = 42*y**2 - 35*y - 120. What is the remainder when w(-4) is divided by 27?
17
Let h = 179 - 175. Calculate the remainder when 110 is divided by 1*h*(2387/(-44))/(-7).
17
Let k = 7170 + -3644. Calculate the remainder when k is divided by 56.
54
Let r(j) = -6*j - 23. Let u be r(-4). Calculate the remainder when 1/u*(-5 - -142) is divided by 36.
29
Let l(f) = f**3 - 21*f**2 - 43*f - 73. Let p be l(24). Let i = p + -609. Calculate the remainder when i is divided by 8.
6
Suppose -n + 46 = -2*a, -a + 224 = 3*n + 58. What is the remainder when 79 is divided by n?
25
Let x = 1164 - 949. Suppose n - 16 = -3*n. Suppose 41 + x = n*q. What is the remainder when q is divided by 6?
4
Let c(f) = f**2 + 11*f - 12. Let h(y) = y + 1. Let r(o) = -c(o) - 5*h(o). Let i = -31 + 23. What is the remainder when r(i) is divided by 19?
14
Calculate the remainder when 1038 - 182/((-28)/(-2)) is divided by 128.
1
Suppose -12 = -11*o + 5*o. Let b(m) = -3*m**3 - 5*m**2 + 2*m - 9. Let p be b(-6). Suppose -w - o*w = -p. Calculate the remainder when w is divided by 38.
35
Let p(o) be the first derivative of 3*o**4/2 + 3*o**2/2 - 4*o + 183. Suppose z = -0*z + 3. What is the remainder when p(z) is divided by 42?
41
Suppose 0 = 3*h + 2*h + 35. Let b(y) = -24*y - 1. Let a(p) = -348*p + 42. Let s(d) = -a(d) + 15*b(d). Calculate the remainder when s(h) is divided by 10.
7
Suppose 0 = -2*x - 2*h + 5420, 5*x = h + 2*h + 13542. Let d = -601 + 634. Calculate the remainder when (4/6)/(14/x) is divided by d.
30
Let a(w) = 5*w**2 + 42*w + 176. Calculate the remainder when a(-7) is divided by 56.
15
Let d(s) = s**2 - 11*s + 5. Let y be d(10). Let z be (0 + (-60)/8)*(-96)/(-18). What is the remainder when ((-22)/y)/(2*(-1)/z) is divided by 13?
10
Let x(w) = 178*w**2 - 72*w + 127. Calculate the remainder when x(2) is divided by 50.
45
Suppose 4*t - 2*w - 38 = 2, -5*t - 3*w = -61. Suppose 187 = t*g - 0*g. What is the remainder when 20 is divided by g?
3
Let y be 1*(20 + (-3)/((-3)/(-1))). Suppose -v + 55 + y = 0. Calculate the remainder when v is divided by 26.
22
Suppose g - 2542 = 4*t, -5*t - 171 = -4*g + 10041. What is the remainder when g is divided by 45?
38
Suppose 0 = 5*o + 5*u - 45, 4*o + 145 = 4*u + 213. Calculate the remainder when 470 is divided by o.
2
Let h(c) = -c**2 - 8*c - 2. Calculate the remainder when 5*154/275*165/22 is divided by h(-5).
8
Suppose -3*r = 2*s - 375, 0*s = -2*r + s + 243. Calculate the remainder when r is divided by (46/(-5))/(196/(-1470)).
54
Suppose 2*p - 6*a = -5*a + 1337, -5*p + 5*a + 3330 = 0. What is the remainder when p is divided by 114?
101
Calculate the remainder when 1/5 + 504/5 is divided by (459/(-816))/(10/(-480)).
20
Let s(m) = 234*m - 2930. Calculate the remainder when s(13) is divided by 89.
23
Let a(s) be the second derivative of s**5/20 + 2*s**4/3 - 25*s**3/6 - 8*s**2 - 34*s. What is the remainder when 66 is divided by a(-10)?
32
Let j = 41 - 18. Suppose -2*l = -2*f - 53 - 109, 5*f + 414 = 2*l. Let o = -17 - f. What is the remainder when o is divided by j?
21
What is the remainder when (-19)/(912/(-32272)) + (-3)/9 + 0 is divided by 86?
70
Let g be 0 + -5 - ((7 - 12) + -14). Suppose 61 - 16 = 5*m. Suppose g*k = m*k + 420. Calculate the remainder when k is divided by 5.
4
Calculate the remainder when (-4 - (3 + -5))*37787/(-58) is divided by 53.
31
Let p be 2394/4*30/45. Let z = p - 379. What is the remainder when 270 is divided by z?
10
Suppose 96*h + 2*h - 6804 = -28*h. Calculate the remainder when 863 is divided by h.
53
Let t be (1/((-14)/296))/(186/(-651)). Suppose 98*d - 264 = t*d. What is the remainder when 2 + -2 - (1 - 54) is divided by d?
9
Let c(l) = 34*l - 730. Calculate the remainder when 124 is divided by c(22).
16
Let b(g) = g**3 + 6*g**2 + g - 12. Suppose w = -0*w - 44. Let t = 39 + w. What is the remainder when 13 is divided by b(t)?
5
Let b(a) = 3*a**3 + a**2 + 2*a - 1. Let l = 59 - 58. Calculate the remainder when 133 is divided by b(l).
3
Let w = -1235 + 1953. Let m = w + -625. Calculate the remainder when 179 is divided by m.
86
Let t be (-3)/((-2)/(-9) + (-143)/819). Let y = -45 - t. Suppose u + 1 = 0, b = u - 5*u - 1. Calculate the remainder when y is divided by b.
0
What is the remainder when 116 - (8 - (-165)/(-15)) is divided by 91?
28
Let r(c) = 12*c**2 - 3*c - 3. Suppose -4*a = 2*x + 5 - 3, -2*x - 4 = 2*a. Let o be r(x). What is the remainder when ((-2)/3)/((-4)/o) is divided by 5?
4
Suppose 125*m = 88*m + 2960. Calculate the remainder when 500 is divided by m.
20
Let s be (-46)/6 - (-9)/(-27). Let q(z) = -2*z - 3. Calculate the remainder when 45 is divided by q(s).
6
Let k be ((-265)/(-371))/(2/14). Suppose q + 3*b = -1 + 144, -2*b - 647 = -k*q. What is the remainder when q is divided by 35?
26
Let q(c) = c**3 + 5*c**2 - 3*c - 3. Let j = 7812 - 4578. Suppose -25*u = -58*u + j. What is the remainder when u is divided by q(-4)?
23
Calculate the remainder when 67 + (3 - (-2 + (-7)/(14/(-12)))) is divided by 9.
3
What is the remainder when 17/(3 - 12696/4590 - 14/63) is divided by 15?
5
Suppose -2338 = 6*h - 544. Let l = h + 318. Calculate the remainder when 54 is divided by l.
16
Let v(t) = 900*t - 3581. Calculate the remainder when 146 is divided by v(4).
13
Let b = 51 + -35. Let u be -5*(b/(-5) + 4). What is the remainder when (-1)/(-3) + -4*u/24 is divided by 1?
0
Suppose 0*k + 3*k + 3*s - 27 = 0, -2*k + 4*s = 0. Calculate the remainder when ((-68)/6)/(k/(-9)) is divided by 7.
3
Let t = 106 + -100. Suppose 0*c - t = -d - c, 0 = -2*d + 4*c. Let b(k) = k**3 - 3*k + 5. What is the remainder when b(d) is divided by 30?
27
Let d(i) = 6*i - 27. Let r be d(12). Suppose -b = 28 - r. What is the remainder when 83 + 2/4*-2 is divided by b?
14
Let j = 160 - 1. Let b = 205 - j. What is the remainder when 137 is divided by b?
45
Let z be (4/2)/((-124)/41354). Let t = 728 + z. Calculate the remainder when 120 is divided by t.
59
Let n be (0 - -5)*6/10. Suppose 5*a - n*t = 7*a - 19, t + 15 = 2*a. Calculate the remainder when a is divided by 5.
3
Let c = 3113 - 2383. Calculate the remainder when c is divided by 16.
10
Suppose -42*h - 6970 = -124*h. Calculate the remainder when 144 is divided by h.
59
Let d(i) = 6*i**2 - 7*i - 7. Suppose -5*a = l + 191, 4*l + 0*l - a = -659. Let p = -71 - l. What is the remainder when p is divided by | {
"pile_set_name": "DM Mathematics"
} |
te -10 + (6 - -1) + -3 - (5 - 14) - 2.
1
-6 - ((-35 - (-17 + 10)) + 0)
22
What is -14 - (52 + -156 + 29)?
61
What is 67 + 19 + -74 - 41?
-29
Calculate 4 + (21 + -22 - (1 + -8)) + -366 + 402.
46
Evaluate (-29 - -41 - 88) + 9 + (-10 - -4) + 5.
-68
-21 - (6 - -1) - (889 - 860)
-57
(-237 - -416) + -86 + (-2 + 2 - 9)
84
Calculate 6 - ((-49 - -101) + -50 - (-6 + 0)).
-2
Calculate -6 + 34 + (-471 - -465).
22
Calculate 112 + (-3 - -6 - 1) + (37 - (47 + 5)).
99
Calculate -26 - ((61 - 61) + 32 + -7).
-51
476 + -467 + 48 + (1 - (-1 - 3 - -4))
58
Evaluate 165 + -165 + -4 + -42 + (-11 - -7).
-50
(11 - 13) + (69 - 1) + 38 + -35 + 0
69
What is 14 + -46 + 26 - -67?
61
69 + 16 + -141 - (2 + -14)
-44
Evaluate 9 - (-5 + -9 + 6) - (6 - (6 - 12)).
5
What is (-12 - 24) + 34 - (-2 + -67) - 9?
58
(31 - (33 + -31)) + -40
-11
Evaluate -37 + (-38 - -63) + -24.
-36
What is (61 - (-88 + 84)) + (46 - 7)?
104
Evaluate 78 + (14 - (1 + 12 + -25 + 12 + 22)).
70
What is the value of 3 - -16 - (-1109 + 1062)?
66
What is 62 - 51 - 27 - (51 + -4)?
-63
What is 5 + 0 + (-4 - (42 + -1))?
-40
What is (182 - (46 + -49)) + -87?
98
Evaluate 20 + 1 + -3 + 1 + (79 - 73).
25
(16 - (62 - -11)) + 89
32
Evaluate 7 + 0 + (33 + -2 + -6 - 9 - 8).
15
Evaluate -18 + 10 + 71 + 11 + -26 + -1.
47
Calculate -1 + (6 - -2) + -3 + -35 + -7.
-38
What is 68 + 12 + -30 + -24?
26
Calculate (-7 - 0) + 3 + 4 + 1 + -4 + 5.
2
Calculate -48 + (-1 - (-27 + -13)).
-9
Evaluate 2 + (14 - (-2 - -23)) + 23 - -1.
19
What is the value of (2 - -44) + -78 + -1 + -23?
-56
What is the value of 3 + 2 - -31 - ((41 - 36) + 1 + 2)?
28
What is (-24 - 8) + 115 - ((-1 - 14) + 3)?
95
Evaluate (-21 - (-3 + 0)) + 34 + -26.
-10
Evaluate (-16 + -1 + -15 + 21 - -8) + 7 + -9.
-5
What is the value of -83 + (-27 - -45) - (-10 - (4 - (4 + -2)))?
-53
What is the value of -39 + (-4 - -35) + -6?
-14
Calculate 52 - 1 - 2 - (2856 + -2868).
61
What is the value of -831 + 817 + (-1 - (4 + -8 - -36))?
-47
Evaluate (824 - 771) + (-3 - 79).
-29
Evaluate 24 - (0 - (3 + -8) - -5) - 55.
-41
What is (27 - 33) + -9 + -2 + -1?
-18
What is the value of 57 + -8 - 89 - -49 - (102 - (-1 + 1))?
-93
What is the value of 9 - (-50 - (-6 + -38))?
15
Evaluate 58 + -51 + 13 + 27.
47
185 - (27 - 98 - -134)
122
What is -15 - (3 + -38 + -8 + 32)?
-4
What is -28 + (30 + 0 - 20) - -13?
-5
What is 10 + -6 + -7 + 23 + (8 - 8) + 6?
26
Evaluate (-5 - -3) + -20 + (0 - 13 - 41).
-76
What is (156 + -143 - -109) + -209?
-87
65 - (-237 + 266 - (63 - -1))
100
Evaluate 31 - (-4 - (-15 + -35)).
-15
Evaluate -20 - (38 + 38 + -15).
-81
Calculate -367 + 348 + (50 - -2) + 4.
37
(-94 - -17 - (-1 + 0 + 1 + 5)) + 9
-73
What is the value of -43 - (-25 + -22 + 26 + -16)?
-6
Evaluate -25 + (-1 + -8 - (-337 + 299)) + -55 + -1.
-52
Calculate (-13 - 29) + 10 - (2 + 3 + (17 - 25)).
-29
(8 - (23 + (20 - 45))) + -20
-10
Evaluate (-77 - -5) + 14 + 21 + -64.
-101
What is -35 + 0 - (-13 - (-17 - 20) - 14)?
-45
Evaluate -10 - (9 - -2) - -27.
6
Calculate -3 + (50 - 8) + 5.
44
What is (0 + -1 - 46) + (-20 - -20) - (-540 - -552)?
-59
Calculate 93 + (26 + -40 - (-4 - (16 - 4))).
95
0 + 641 + -629 + -3 + (0 - 0) + -65
-56
What is the value of (765 - 749) + -2 + -2 + -58 + 0?
-46
Calculate -6 + (4 - 2) + -4 - (-7 + 1 + -12).
10
(-27 - -2) + -1 + -62 + 60 + (-115 - -114)
-29
What is the value of (-10 - (-3 + 14 + -12)) + 52?
43
Evaluate 20 + 0 - (38 - (-34 + 61) - 9).
18
Evaluate (-1 - 69) + 1444 + -1325.
49
Calculate -23 - (2 - (60 - (-20 - 5))).
60
What is the value of (-1 + 2 - 16) + 1271 + -1201?
55
What is -6 + -15 + 12 - (-8 + 2 + 3 + -33)?
27
-18 + (-20 - -3) - (82 - 42)
-75
What is the value of -45 + -3 + 48 + -8?
-8
Evaluate 31 - (-5 + 12 + 19 + -21).
26
-34 - (-34 + (63 - 81))
18
What is (-15 - -19 - (-72 - -1)) + -517 + 515?
73
What is (-6 - (2 - (2 - 5))) + (-27 - -27) + -51?
-62
What is -131 + 83 + 139 + -144?
-53
(-242 - (50 + -248)) + (-19 - 1)
-64
What is 2 - (-63 + -46) - 50?
61
What is -118 + 9 + (199 - 151)?
-61
Evaluate (2 - 2) + 26 + (-13 - -3) + -2 - 86.
-72
What is 84 - (-67 - (-193 - -9))?
-33
What is -4 + 4 - (1 + (4 - (17 - 28)))?
-16
Calculate 66 + -2 + (-7 - (-19 - (-39 + 32))).
69
What is the value of 2 + -6 - (18 - -1 - 1)?
-22
47 - ((-3 - -21) + (-22 - -6)) - -16
61
Evaluate 2 + 1 - (1 - 3) - (1036 + -1110) - 1.
78
What is (8 - 8) + -9 - (-253 - -296)?
-52
What is -22 - (10 + (-12 - -17 - 16) + -5)?
-16
Evaluate (-4 + 13 - (-3 + 15 + 91)) + -8.
-102
Evaluate 136 - (19 + 1 - ((62 - 27) + -33)).
118
Calculate (0 - 0) + (0 - 11) - (140 + 489 + -571).
-69
-28 + 27 + 36 + -61 + -81
-107
Evaluate (2 + 4 - -3) + (42 - (-21 - (-5 + -11))).
56
What is 16 - ((5 - (19 - 37)) + 2)?
-9
Calculate -66 + (-44 - (-18 - 80)).
-12
Evaluate (118 - 57) + -16 + 5.
50
Evaluate (15 + (-52 - -19) + 40 - 11) + 7.
18
Calculate -7 + -10 + -1 + 13 + 40 + -36.
-1
What is 58 + (-18 - (-18 - 3) - 19)?
42
Evaluate 128 + 39 + -20 + -52.
95
Calculate (-4 - -4) + (-3 + 7 + -7 - (-100 + -6)).
103
What is the value of -48 + 36 + (10 + -65 - 0)?
-67
What is the value of 746 + -712 + -70 + 6?
-30
Evaluate 9 + (-11 - -10 - (-29 + -6 + 0 + 6)).
37
Calculate 6 + (4 - -3 - 9 - (2 + -1)) - 54.
-51
Calculate (126 - (-13 + 86)) + 10.
63
Evaluate (0 - 1) + -9 + 234 + -229 + 7.
2
Evaluate 33 - ((58 - 52) + (-2 - -3) + 1 + -5).
30
Evaluate -1 + (18 - (6 - (-4 + -17))) - 26.
-36
Calculate (0 - -6) + 124 - (-916 - -932).
114
71 - (19 - (21 + -6))
67
Calculate ((-3 - 11) + 18 - 28) + -5 + 3.
-26
What is 23 - -1 - (-30 - (-75 - -54))?
33
What is -1 + -4 - (17 + (5 + -9 - (21 + -60)))?
-57
(35 - 9) + -45 - (-84 + 1 + -4)
68
What is the value of 76 - (43 - 37 - -51)?
19
What is 22 - 38 - (-25 + (28 + -1 - 14))?
-4
Calculate (-8 + (-73 - -39) - -17) + -1 + 164.
138
Evaluate (7 - -6) + 11 + -20 - (-13 - -49 - -16).
-48
What is the value of -45 - (-24 - (-57 + 42))?
-36
(-5 - -12) + (-2 - 0 - 47) - (53 - 42)
-53
Evaluate (3 - -4 - (245 + -188)) + -2 + 11 + -4.
-45
What is the value of 21 + -17 - -38 - 35?
7
98 + -73 + (0 - -11 - -14)
50
(26 - 48) + 18 + (-1 - (1 + -62))
56
Calculate (-37 - 1) + (-24457 - -24437).
-58
Calculate 31 - (48 - (-31 + -8)) - -15.
-41
What is (93 - 108) + -2 + (12 - 10)?
-15
Calculate (-21 + 19 + 21 - 2) + (30 - -6).
53
27 - (-4 + -30 + 7 + -5)
59
Evaluate (-2 + 46 - (-85 - -95)) + -120.
-86
What is the value of -84 + 5 - (-64 + (-2 - -54))?
-67
(1 - 3) + 1 + -13 + -37 + 109
58
-16 + 9 + -10 - (51 - 86)
18
-16 + (11 - (6 + 7)) + 13 - 9
-14
Evaluate -25 + 464 + -488 + 1 + 8.
-40
Calculate -8 - (-6 + 4 + 15 - (148 - 140)).
-13
Calculate (13 - -9 - 31) + (-111 - -150).
30
(66 - 31) + -1 + -26 - (-1 + 0)
9
What is the value of 1 + -136 + 91 + 143?
99
Evaluate (34 - (72 - 12)) + -6.
-32
Evaluate (61 - (-71 + 216)) + 84.
0
Evaluate (20 + -32 - (25 - 16 - 31)) + -4.
6
Evaluate 1 + -2 + -6 + (-2 - -9 - 3) + 7.
4
12 + (-3 - (-5 + -6)) + 8 + 1
29
What is 88 - (-14 - (-56 - -34))?
80
What is the value of (11 - 0 - (-244 + 254)) + -80?
-79
11 - (-6 + 24 - 3 - -5)
-9
What is (148 - 9) + (382 - 585)?
-64
Calculate 81 + (-31 + 32 - ((31 - 24) + (-1 - 1))).
77
(-23 + 53 - 83) + (-4 - 5) + -3
-65
Evaluate (7 - (27 - (9 - 1))) + -12 + -67.
-91
(4 - -3) + 38 + -27 + 22
40
What is the value of 5 + 9 + (7 - -18 - 8)?
31
What is the value of -133 + 113 + -37 + 87?
30
33 + -2 - (11 + -33 - -6)
47
Evaluate 59 + -36 + 22 + -26 + -2.
17
Calculate -1843 - -1788 - (2 + -55).
-2
Evaluate -1 + (-26 - -100) - -2.
75
Evaluate -5105 - -4886 - (-3 - 116).
-100
Calculate 8 + (37 - (175 + -69)).
-61
Evaluate -6 + -1 + (-298 - -279) + 6.
-20
8 + (1 - (12 + 7 - 13)) + (20 - -1)
24
11 + (-19 - -8) - (-135 - (-59 - -27))
103
Calculate -10 + (198 + -278 - (-16 - 3)).
-71
Evaluate 1 + -15 + -97 + 87 + -24.
-48
Calculate -34 + 31 - (2 - 2 - -92) - (-210 - -217).
-102
Evaluate 11 + -16 + -131 + 95.
-41
(-22 - -12) + (8 - 13) + 21 - -9
15
-54 + (-11 - -21 - (-20 - -12 - (-1 + -11)))
-48
Evaluate -24 - (41 - 31 - (2 - 12)).
-44
What is the value of (-47 - (-54 - -52)) + 70?
25
What is the value of (-45 - -100) + -6 + -12?
37
(77 - 93 - 33) + -41
-90
Calculate (14 - 0 - -2) + 4141 + -4044 + -1.
112
What is the value of -9 - 0 - 4 - (4 + (-18 - -17 - 8))?
-8
What is the value of 4 + (0 - 0) + (10360 - 10358)?
6
-108 - (-6 + (-111 - -41))
-32
What is the va | {
"pile_set_name": "DM Mathematics"
} |
27)))**2 - (-6*(sqrt(132)*-3 - sqrt(33))/(sqrt(3) + (sqrt(432)*1 - sqrt(432)) + sqrt(3)))**2.
-52917/16 + 235*sqrt(11)/2
Simplify -1 + 4 + 5*(sqrt(1053) + 1)**2 + (-1*(sqrt(1573) + (sqrt(1573) + 2*sqrt(1573))*-2))**2.
90*sqrt(13) + 44598
Simplify (-1*sqrt(3264)*3*4)/((sqrt(120) + sqrt(30))/sqrt(10) - sqrt(108)*2).
32*sqrt(17)/3
Simplify 1 + ((6*sqrt(98) - (3*sqrt(72) - sqrt(2))) + (sqrt(120)/(-1*sqrt(10)) - sqrt(12))/(-6*sqrt(18)/sqrt(3)))**2.
11561/9
Simplify (-4*(sqrt(208) + 0) + sqrt(208) + sqrt(208) + -6*((-1*sqrt(208) - sqrt(208)) + sqrt(208)) + 2*(sqrt(13) + sqrt(13)*-3*3)*6)**2.
83200
Simplify (2*((-5*-2*sqrt(19) + sqrt(95)/sqrt(5) + -3 - (-3*sqrt(684) + -2 - sqrt(684))) + 4))**2.
840*sqrt(19) + 93136
Simplify 5 + 0 + (1*sqrt(117)*-6 - (sqrt(117) - (-4 + sqrt(117) + sqrt(117)*-2)**2)) + -1 + 1.
3*sqrt(13) + 138
Simplify ((-2*sqrt(44)/sqrt(4) + 2*sqrt(176))*2 + -4*4*(-5 + sqrt(88)/sqrt(8)))**2.
-640*sqrt(11) + 6576
Simplify (-3*(4 + -5*sqrt(684) + (sqrt(684) - (sqrt(684) - (sqrt(684) + sqrt(684)*-2))) + sqrt(684) + sqrt(684) + -2)*-4)**2.
-13824*sqrt(19) + 1576512
Simplify (-1*sqrt(176)*6*-5)**2 - ((sqrt(396) - (sqrt(396) - sqrt(396)*-1)*-5)/sqrt(9))**2.
153076
Simplify (-5*sqrt(4896)*-1 - -2*sqrt(4896)*1)/((sqrt(14) - (sqrt(14) + sqrt(56)*-4))/(sqrt(7) - -2*sqrt(343))).
315*sqrt(17)/2
Simplify (-3*sqrt(44) + -5 + sqrt(44)*3 + 2 - ((sqrt(110)/sqrt(160) - sqrt(11)*2*6) + sqrt(44)/sqrt(16) + -1))**2.
-45*sqrt(11) + 22339/16
Simplify ((sqrt(360) - -2*4*sqrt(360))/sqrt(10))/((sqrt(1452) - (sqrt(1452) + -2*sqrt(1452)))*4)*-3.
-27*sqrt(3)/88
Simplify 5 + (1 + -3 + sqrt(176) + -2 + (sqrt(176) + 0)*-1)**2 + 0 + 4.
25
Simplify (5*((5 + 0 + sqrt(275))*1 - (sqrt(77)/(sqrt(35)/(-3*sqrt(5) + sqrt(5) - sqrt(5))) + -5)))**2.
4000*sqrt(11) + 20100
Simplify (4 + (6*(sqrt(1008) - ((-2*sqrt(1008) - sqrt(1008))*3)**2) - (sqrt(1008) + ((sqrt(1008) + 0)*-6)**2 + 4)))*-3.
-180*sqrt(7) + 1578528
Simplify ((sqrt(3388)*-3 - sqrt(3388))*-6*2 + -3*(sqrt(3388) + -2 + sqrt(3388) - sqrt(3388)) + (sqrt(3388) - (-1*sqrt(3388) + -4)) + 0)**2.
20680*sqrt(7) + 7484192
Simplify (((6*(sqrt(30)*-2 - sqrt(30)) - sqrt(30)) + sqrt(90)/sqrt(27))/(4*(sqrt(162)/sqrt(3) + 4*sqrt(24)/sqrt(4))))**2.
20/9
Simplify (-1 + 3*(-4 + (sqrt(2448) - (2 + sqrt(2448)*-2)) + -1 + 3))**2.
-2808*sqrt(17) + 198457
Simplify -3 + (-2*(sqrt(405) - (sqrt(405) + 2 + sqrt(405) + -1 + sqrt(405))) + 5 + (sqrt(405) + 1*sqrt(405))*-1)**2.
252*sqrt(5) + 1666
Simplify (-2 + -4 + -5 + sqrt(320) + sqrt(320) + sqrt(320) + 4 + -2 + -1 + -1)**2.
-528*sqrt(5) + 3001
Simplify 5 + sqrt(98) + -2 + 0 + 0 + (sqrt(98) + sqrt(98) + -2 + sqrt(98) + sqrt(98) + -2)**2 + 0.
-217*sqrt(2) + 1587
Simplify (2*5*sqrt(187)*-1*6)/((sqrt(44)*4 - sqrt(11)) + sqrt(99)/(-2*sqrt(9))).
-120*sqrt(17)/13
Simplify ((5*(sqrt(500) - (3 + sqrt(500)*3)) + (sqrt(405) + 4 + sqrt(405))*1*-6)*-4)**2.
259584*sqrt(5) + 3485456
Simplify (-2*sqrt(85)*-2 + 3*((-1*sqrt(85) - sqrt(85)) + sqrt(85)))/((sqrt(4050)*1)/(sqrt(1000) + sqrt(1000)*2)).
10*sqrt(17)/3
Simplify (1*sqrt(350)/sqrt(7) - sqrt(500)/sqrt(10)*4)/((2*sqrt(20))/sqrt(2) - (5*sqrt(1440) + sqrt(1440))).
3*sqrt(5)/70
Simplify -1 + -5 + -1 + -4*((2 + sqrt(108)*-1 - sqrt(108)) + (sqrt(108)*-2 - sqrt(108)) + 5).
-35 + 120*sqrt(3)
Simplify -1 + ((-2*(sqrt(5) + sqrt(25)/sqrt(5)) - sqrt(5)) + sqrt(20)*-1 - (5 + 3 + 2*sqrt(180)))**2.
304*sqrt(5) + 1868
Simplify -3 + (sqrt(392) + sqrt(392)*-2 + sqrt(392) + ((sqrt(8) + sqrt(32)/sqrt(4))*-4 - sqrt(8)))/(-4*(sqrt(4) + sqrt(16)) + sqrt(36)*1).
-3 + sqrt(2)
Simplify (-4*(sqrt(112)/sqrt(4) + sqrt(28))*5)/(sqrt(40)/sqrt(1440)).
-480*sqrt(7)
Simplify sqrt(156)/(sqrt(12) + (sqrt(12) + sqrt(60)/sqrt(5))*5)*-2 + (2*(sqrt(208) - (4 + sqrt(208) + -4)))**2.
-2*sqrt(13)/11
Simplify 5 + ((0 + sqrt(252) - sqrt(252)) + 1 + sqrt(252) + 5)**2*4*3 + 4 + -1.
864*sqrt(7) + 3464
Simplify -1 + -2*sqrt(242)*3 + 4*(2 + sqrt(6)/sqrt(75))**2 + -1.
-314*sqrt(2)/5 + 358/25
Simplify (6*sqrt(144)/(-1*sqrt(972)) + 4*(sqrt(132)/(sqrt(11) - sqrt(275)) + 2))**2.
-160*sqrt(3)/3 + 292/3
Simplify 1*(4*((sqrt(208) + 5*(sqrt(208)*-1 - sqrt(208)) + sqrt(208) + sqrt(208))/sqrt(4))**2 + 2)*3.
30582
Simplify 0 + ((-1 + sqrt(147))*5 + -4 - -4*5*(sqrt(147)*-1 + sqrt(147))**2) + 2.
-7 + 35*sqrt(3)
Simplify 3*(-4 + ((4*-1*sqrt(10) + sqrt(10))*3)/(sqrt(4)/(-1*sqrt(200)))).
-12 + 270*sqrt(5)
Simplify (-3*sqrt(1500) - sqrt(8640)*2)/(sqrt(60)/sqrt(20) - (-3*sqrt(432) + sqrt(432)))*-1.
78*sqrt(5)/25
Simplify (sqrt(104)*-2*1*4*-6)/((sqrt(8) + sqrt(8)*-2)*-1 - sqrt(968)*2)*-2.
32*sqrt(13)/7
Simplify (4*(sqrt(143) + sqrt(143)*1)*5)/(sqrt(110)/(1*sqrt(640))).
320*sqrt(13)
Simplify ((2*sqrt(286)*6 + sqrt(286))/(sqrt(11) + (1*sqrt(88))/sqrt(8) - sqrt(11)))/(-5*sqrt(18)*1 + sqrt(882)*-2).
-13*sqrt(13)/57
Simplify (2*-1*sqrt(84)*1*-2)/((sqrt(588) + 2*sqrt(588))*-2*6).
-sqrt(7)/63
Simplify 3*(-3 + 4*sqrt(19) + 4 + -3*(sqrt(931) - ((sqrt(931) - (1 + sqrt(931)) - sqrt(931) - sqrt(931))**2 - sqrt(931)))) + -3.
138*sqrt(19) + 33525
Simplify (-5*-1*(1 + sqrt(1377)))**2 - (-3 + (-2*sqrt(17)*1 - 1*(sqrt(17) + 2))).
453*sqrt(17) + 34455
Simplify (3 + -4*-2*sqrt(17)*2 - (-1*sqrt(187)*5)/(sqrt(110)/sqrt(250)))**2 + -3.
246*sqrt(17) + 28583
Simplify (-3 + 5*-2*sqrt(1200))**2 + (sqrt(30) - (sqrt(30) - sqrt(120))*-1)/(sqrt(810)*3).
1200*sqrt(3) + 120009
Simplify (((sqrt(154)*-1)/sqrt(7) + sqrt(22) - sqrt(176)/sqrt(200))/(-5*sqrt(176) - sqrt(891)*2)*-1)**2.
1/18050
Simplify ((-1 + (-2*(-2 + sqrt(468)) + sqrt(468) - sqrt(468)) - (-3 + sqrt(468) + (sqrt(468) - (2 + sqrt(468) + 0)))) + -3)**2.
-180*sqrt(13) + 4237
Simplify (sqrt(275)/(sqrt(20)/sqrt(4)) - (sqrt(220)*6 + sqrt(220) - sqrt(220)))/(sqrt(11) + sqrt(99)*1 + 1*sqrt(275)).
-11*sqrt(5)/9
Simplify (((-4 + 2*sqrt(1008) - (3 + (sqrt(1008) + 1 - sqrt(1008))) - 6*(sqrt(1008)*-1 - sqrt(1008))*6) + 0)*-6*-2)**2*-4.
-3179446272 + 8183808*sqrt(7)
Simplify (sqrt(432) - (sqrt(432)*3 + -5)**2)*-6*-1 + ((4*3*sqrt(432) - sqrt(432)) + -5)**2*3.
-1728*sqrt(3) + 133413
Simplify -4*4*-1*(-5*1*(sqrt(475) + -2)**2 - (-1 + 1 + sqrt(475))**2*-2).
-23120 + 1600*sqrt(19)
Simplify (1*(-2*1*sqrt(119) - 5*(sqrt(119)*2 + sqrt(119) - sqrt(119))))/((-2*(sqrt(112) - (sqrt(112) - sqrt(112)*-2)) + sqrt(112))*2).
-3*sqrt(17)/10
Simplify (2*((4*sqrt(77)*-3*1)/(sqrt(99)/((sqrt(90) - sqrt(90)*-3)/sqrt(10))) + 3))**2.
-1152*sqrt(7) + 64548
Simplify (((sqrt(704) + -2 + sqrt(704))*3 - (sqrt(704) + 2)*2)*6*-2)**2*1*-1.
-1636416 + 92160*sqrt(11)
Simplify (((sqrt(72)/sqrt(8))/sqrt(3))**2 - ((sqrt(6)/sqrt(2))**2 + -2)) + 3 + -1*sqrt(3)*5*-3.
5 + 15*sqrt(3)
Simplify sqrt(152)/(sqrt(800) - sqrt(8)) + -3 + (sqrt(19) - (2*sqrt(19))**2) - (-3 + -4 + (sqrt(19) + -2*sqrt(1216))**2).
-4347 + 10*sqrt(19)/9
Simplify (-1*(0 + sqrt(80) + -3 - sqrt(80)) - (1 + 3*((sqrt(320) + (1 + sqrt(320))*6 - sqrt(320)) + sqrt(320))))**2.
5376*sqrt(5) + 141376
Simplify sqrt(176) + ((0 + sqrt(176))*2 - sqrt(176)) + sqrt(176)*-2 + -4 + (sqrt(176)*-1*6 + sqrt(176) - (-1 + sqrt(176) + sqrt(176))*-5)**2 + 0.
-200*sqrt(11) + 4421
Simplify (sqrt(30) - 2*sqrt(750) - 2*sqrt(30)*-6)/((sqrt(810)*-1 - sqrt(10))*4) + -1.
-1 - 3*sqrt(3)/40
Simplify (sqrt(126)*-6*-5*4)/((sqrt(128) + sqrt(128) + (sqrt(128) - sqrt(128)*1)*-2 + sqrt(128))*3).
5*sqrt(7)
Simplify 1*(-4 + 1 + sqrt(612))*2 + ((sqrt(68)/sqrt(2)*1 - sqrt(34))/(sqrt(8)/sqrt(4)*1))**2*-2.
-6 + 12*sqrt(17)
Simplify (-4 + -3 + 3 + 2 + sqrt(1872) + -1 + sqrt(1872) + 4 + 3)**2.
192*sqrt(13) + 7504
Simplify 1*(-1 + ((sqrt(51) - (sqrt(1836) + -2*sqrt(1836)))*6)/(sqrt(3) + 1*sqrt(9)/sqrt(3) + sqrt(300)*1)).
-1 + 7*sqrt(17)/2
Simplify -3*(sqrt(17) + sqrt(68) + 5 + (2*sqrt(85))/sqrt(5)) + ((sqrt(119)*1*1)/(sqrt(14)/sqrt(2)*6))**2.
-15*sqrt(17) - 523/36
Simplify ((-3 + sqrt(3645) + 3*(sqrt(3645) - -2*sqrt(3645)) + 2)*-3 + 1)**2.
-6480*sqrt(5) + 3280516
Simplify (-6*3*sqrt(95)*2*2)/(sqrt(5445)*2*6 - sqrt(5445)).
-24*sqrt(19)/121
Simplify (4 + 2 + ((sqrt(500) - (-1 + sqrt(500)))*-5 - (4 + 1*sqrt(500))) + 0)**2.
60*sqrt(5) + 509
Simplify (-1 + (-5 + -1*((sqrt(117) - (0 + sqrt(117))) + 5 - (2 + sqrt(117) + 1)))**2)*4.
-168*sqrt(13) + 660
Simplify ((1*-4*(sqrt(60) - (sqrt(240) - sqrt(240)*-1)))/((sqrt(168)/sqrt(112))/((sqrt(24)*2)/sqrt(12))))**2.
46080
Simplify -3*((-5*(sqrt(84) + -6*sqrt(84)))/(sqrt(24)/sqrt(128)))** | {
"pile_set_name": "DM Mathematics"
} |
4*r - v*r**4 + 9/4*r**5 + 65/6*r**3. Factor p(i).
5*(i - 1)**2*(9*i - 2)
Let j = 16126 - 16126. Let p(h) be the third derivative of 1/90*h**5 + 0*h + 6*h**2 + j*h**4 - 1/9*h**3 + 0. Factor p(i).
2*(i - 1)*(i + 1)/3
Let l(r) be the first derivative of -r**4/8 + 40*r**3/3 - 477*r**2 + 7128*r - 4353. Factor l(c).
-(c - 44)*(c - 18)**2/2
Suppose 12*y = 5*y + 2450. Factor 336*p - 91 - y*p - 203 - 2*p**3 + 22*p**2.
-2*(p - 7)**2*(p + 3)
Let a(v) be the second derivative of v**6/1800 - v**5/120 - 131*v**3/6 + 109*v. Let u(g) be the second derivative of a(g). Determine p so that u(p) = 0.
0, 5
Let i(o) be the second derivative of o**5/20 - 8*o**3 - 61*o**2/2 - 18*o. Let j(d) = -d**3 + 1. Let u(x) = -i(x) + 3*j(x). Find r such that u(r) = 0.
-2, 4
Let w be ((-22)/(-33))/(57/18 + -3). Let g(i) be the second derivative of 1/70*i**5 + 2/7*i**2 - 6*i + 0*i**w + 0 - 1/7*i**3. Factor g(l).
2*(l - 1)**2*(l + 2)/7
Let w(c) = 2*c**4 + 38*c**3 + 44*c**2 - 78*c - 18. Let s(d) = d**4 + d**3 - d - 3. Let p(z) = 6*s(z) - w(z). Factor p(j).
4*j*(j - 9)*(j - 1)*(j + 2)
Let o(b) be the first derivative of -b**6/3 - 62*b**5/5 - 85*b**4/2 - 50*b**3/3 + 86*b**2 + 112*b - 5196. Solve o(r) = 0 for r.
-28, -2, -1, 1
Let n(w) be the third derivative of w**8/1428 + 11*w**7/1785 - w**6/204 - 19*w**5/102 - 39*w**4/68 - 12*w**3/17 - 198*w**2. Let n(j) = 0. Calculate j.
-4, -3, -1, -1/2, 3
Let z(g) be the second derivative of g**4/42 + g**3/3 - 8*g**2/7 - 6783*g. Factor z(s).
2*(s - 1)*(s + 8)/7
Let f be 6 - (1 + 292/(-6)). Let z = f + -802/15. Factor 0*g**2 + 0*g + z*g**4 + 0 + 0*g**3.
g**4/5
Let r be -4*(-10)/(-4)*2/4. Let p(k) = -4*k**3 + 100*k**2 + 108*k + 12. Let x(j) = 2*j**3 - 40*j**2 - 43*j - 5. Let b(d) = r*p(d) - 12*x(d). Factor b(i).
-4*i*(i + 2)*(i + 3)
What is o in -24*o**2 + 112*o**2 - 5*o**3 - 398*o**2 - 1425*o = 0?
-57, -5, 0
Let g(f) = 2*f**2 - 36*f - 9. Let s be g(18). Let w be 6/s + -3 + (-114)/(-9). Factor 4*z**3 + z**3 - 20*z**2 - 3 - 7 + 16*z + w*z.
5*(z - 2)*(z - 1)**2
Let v(k) be the second derivative of 39/20*k**5 - 1/10*k**6 - 13/2*k**3 - 11/4*k**4 + 21*k + 0 + 18*k**2. Factor v(i).
-3*(i - 12)*(i - 1)**2*(i + 1)
Let r(g) = -3*g**2 + g + 2. Let q(n) = 18*n**2 - 9431*n + 7404113. Let y(h) = q(h) + 5*r(h). Factor y(l).
3*(l - 1571)**2
Let j(z) = 75*z**3 - 1629*z**2 + 9776*z - 4486. Let l(k) = k**3 + 5*k**2 - 2*k + 1. Let x(p) = j(p) - 3*l(p). Let x(g) = 0. What is g?
1/2, 67/6
Let g = -2399493/3206 + -519/458. Let u = -749 - g. Factor -u*l + 4/7*l**2 + 0.
4*l*(l - 1)/7
Let d be 2/(-6) - 7/14*(-42)/9. Let v(b) be the second derivative of 5/12*b**3 - 24*b + 0 + 1/24*b**4 + 3/2*b**d. Factor v(s).
(s + 2)*(s + 3)/2
Suppose -23*n = -11*n - 24. Let u(f) be the third derivative of 0*f + 1/120*f**5 + 0 - 2*f**n + 0*f**3 + 0*f**4. Let u(m) = 0. What is m?
0
Let x = 2098/3 + -6293/9. Let h(q) be the first derivative of -8/27*q**3 - 24 + 2/15*q**5 + 2/9*q - 2/9*q**2 + x*q**4. Find m such that h(m) = 0.
-1, 1/3, 1
Let m(s) be the first derivative of s**5/5 + s**4 - 16*s**3 + 56*s**2 + 123*s - 101. Let v(w) be the first derivative of m(w). Factor v(o).
4*(o - 2)**2*(o + 7)
Let f(y) = y**2 - y - 6. Let k(i) = i**3 + 154*i**2 - 976*i + 1515. Let u(o) = 5*f(o) + k(o). Solve u(c) = 0.
-165, 3
Let s(q) be the first derivative of -1/10*q**5 + 23 - 5/2*q**2 + 1/2*q**4 + 1/2*q**3 - 4*q. Factor s(p).
-(p - 4)*(p - 2)*(p + 1)**2/2
Let h(i) be the first derivative of 2*i**5/35 + 3*i**4/14 - 248*i**3/21 - 612*i**2/7 - 1440*i/7 + 12376. Solve h(m) = 0 for m.
-10, -3, -2, 12
Let r(g) = -7*g**2 - 1189*g + 3598. Let j(z) = -36*z**2 - 5947*z + 17989. Let p(n) = -2*j(n) + 11*r(n). Let p(t) = 0. Calculate t.
-240, 3
Let l(f) = 9*f**2 + 61*f - 70. Let i(g) = 8*g**2 + 62*g - 70. Let d = -234 + 231. Let q(k) = d*l(k) + 4*i(k). Suppose q(o) = 0. What is o?
-14, 1
Let j(c) = c**4 - c**2 + c - 1. Let o be (5 - 16/4)*-1. Let w(r) = 24*r**4 - 32*r**2 + 28*r - 20. Let k(h) = o*w(h) + 20*j(h). Solve k(u) = 0 for u.
-2, 0, 1
Let k(b) be the second derivative of -b**7/70 - 9*b**6/25 - 3*b**5 - 63*b**4/10 + 49*b**3/2 + 2565*b. Suppose k(f) = 0. What is f?
-7, -5, 0, 1
Let f be 6 + (-12)/2 + (11 - 2). Let s(x) = x**2 - 3*x - 6. Let w(y) = -3*y**2 + 12*y + 27. Let d(a) = f*s(a) + 2*w(a). Solve d(h) = 0 for h.
0, 1
Let g(d) = 2*d**4 + d**3 - d**2 + 2. Let y(p) = 49*p**3 + 70*p**2 - 89*p - 22. Let n(z) = 2*g(z) - y(z). Suppose n(t) = 0. Calculate t.
-2, -1/4, 1, 13
Find n, given that -276*n - 1224 + 208507*n**3 + 80*n**4 - 207106*n**3 + 148*n**4 + 9*n**5 + 2130*n**2 = 0.
-17, -6, -2, -1, 2/3
Suppose -3*q + 62 = 56. Factor 61*d + 20 - 62*d - 2*d**3 - 3*d**3 + 25*d**q - 39*d.
-5*(d - 2)**2*(d - 1)
Let i(u) = 9*u**4 - 33*u**3 + 9*u + 5. Let k(a) = 11*a**4 - 38*a**3 + a**2 + 8*a + 6. Let v(n) = -6*i(n) + 5*k(n). Factor v(x).
x*(x - 1)*(x + 2)*(x + 7)
Determine p, given that -2/7*p**2 + 2210/7 + 432/7*p = 0.
-5, 221
Suppose -5*d = -2796*l + 2797*l + 31, 0 = l - 5*d - 39. Factor -18/19*q**5 - 204/19*q**l - 128/19 - 38*q**3 + 672/19*q - 600/19*q**2.
-2*(q + 4)**3*(3*q - 1)**2/19
Determine c so that -44/7*c - 2/7*c**2 + 480/7 = 0.
-30, 8
Let z(q) be the third derivative of 0*q + 19/120*q**4 + 1/60*q**5 - 2 - 2/15*q**3 - 108*q**2. Solve z(j) = 0 for j.
-4, 1/5
Let i(n) be the third derivative of 0 + 0*n - 1/1800*n**6 + 1/60*n**4 - 4*n**2 + 1/600*n**5 - 11/3*n**3. Let w(l) be the first derivative of i(l). Factor w(x).
-(x - 2)*(x + 1)/5
Let a be ((64/24)/8)/(2/12). Solve -6*z**a + 146*z - 8*z**2 + 24*z - 9*z**2 + 18*z**2 = 0.
0, 34
Suppose 16 = -4*o - 116. Let c = 36 + o. Factor 32 - 36 + 95*u - 16 - 20*u**c - 55*u**2.
-5*(u - 1)*(u + 4)*(4*u - 1)
Let f(h) be the third derivative of -h**7/42 - 11*h**6/6 - 263*h**5/6 - 385*h**4/2 - 735*h**3/2 - 232*h**2 - h. Let f(z) = 0. Calculate z.
-21, -1
Let r = 4543 + -4541. Let u(o) be the third derivative of 0 - 1/10*o**6 - 21/20*o**5 - 9/4*o**4 + 0*o + 26*o**r + 27/2*o**3. Find p, given that u(p) = 0.
-3, 3/4
Let s(z) be the second derivative of -z**7/21 + 7*z**6/15 + 21*z**5/10 - 19*z**4/6 - 68*z**3/3 - 36*z**2 - 83*z. Solve s(j) = 0 for j.
-2, -1, 2, 9
Let f be ((-64)/(-18))/2 - (-12 + 7526/639). Solve 0*q - 6/5*q**4 - 2/5*q**5 + 0 + 0*q**f + 4*q**3 = 0 for q.
-5, 0, 2
Let s(g) be the first derivative of g**4/14 + 1184*g**3/21 + 1181*g**2/7 + 1180*g/7 + 602. Factor s(y).
2*(y + 1)**2*(y + 590)/7
Let p(q) be the third derivative of -q**6/80 - 9*q**5/40 - 23*q**4/16 - 15*q**3/4 - 338*q**2. Factor p(h).
-3*(h + 1)*(h + 3)*(h + 5)/2
Suppose -4*m = -20, 0*x + 4*m + 10 = 5*x. Let u be 5*8/(-160)*(-4)/x. What is f in u*f**2 - 1/3*f + 0 = 0?
0, 2
Let a(s) be the first derivative of 8/3*s**3 - 2*s**2 - 322 - 2/5*s**5 + 13/4*s**4 - 1/2*s**6 + 0*s. Let a(y) = 0. What is y?
-2, -1, 0, 1/3, 2
Let z = -99 - -98. Let s(v) = -2*v + 4. Let r be s(z). What is n in 2*n**4 - 4*n**2 - 3*n**3 + r + 7*n - 4*n + n**4 - 5*n**2 = 0?
-1, 1, 2
Let a(b) = -2*b**3 + 2*b - 14. Let i(q) = -q**4 - 70*q**3 - 413*q**2 + 4*q - 28. Let z(o) = 6*a(o) - 3*i(o). Factor z(d).
3*d**2*(d + 7)*(d + 59)
Suppose -25*o + 266 = -559. Factor 3*h**5 - h**3 - 29*h**3 - 23*h + o*h + 32*h - 3*h**4 + 12*h**2 + 30*h.
3*h*(h - 3)*(h - 2)*(h + 2)**2
Let u(y) be the second derivative of y**4/3 + 568*y**3/3 - 1144*y**2 + 8320*y. Let u(c) = 0. Calculate c.
-286, 2
Let z = -110174/15 + 7345. Let h(u) be the second derivative of 0 + 0*u**2 + 1/6*u**4 - 1/42*u**7 - z*u**6 + 1/20*u**5 - 32*u + 0*u**3. Factor h(j).
-j**2*(j - 1)*(j + 1)*(j + 2)
Let c be (-28 + (-88)/11)*6/(-2). What is w in 299 + 673*w - 33*w - 972*w**5 - c*w**4 - 2112*w**2 + 2448*w**3 - 363 = 0?
-2, 2/9, 1/3, 2/3
Let m(b) be the first derivative of b**4/5 + 8*b**3/5 - 14*b**2/5 - 9071. Let m(w) = 0. Calculate w.
-7, 0, 1
Suppose -6 + 8 = p. Let j(g) = g**2 - 23*g + 34. Let i be j(22). Factor i - 4*n**2 - 12*n**3 - n**2 + 48*n + p*n**2.
-3*(n - 2)*(n + 2)*(4*n + 1)
Let b(q) be the second derivative of 11*q + 0 + 1/140*q**5 + 0*q**3 - 6*q**2 + 1/56*q**4. Let f(p) be the first derivative of b(p). Factor f(w).
3*w*(w + 1)/7
Let z(v) be the third derivative of v**6/140 - 9*v**5/70 + 6*v**4/7 - 20*v**3/7 + 47*v**2 - 8*v. Factor z(u).
6*(u - 5)*(u - 2)**2/7
Let a(j) be the second derivative of j**7/1680 + j**6/80 + j**5/10 + j**4/12 + 11*j**3/3 - 71*j. Let l(v) be the t | {
"pile_set_name": "DM Mathematics"
} |
w**4 + 760789 - w**4 as s*w**2 + q*w**3 + u*w**4 + b + j*w and give j.
0
Rearrange 83*d**3 + 4937*d**2 - 7*d**3 - 80*d**3 + 1103*d**2 to the form r + n*d**2 + x*d + u*d**3 and give u.
-4
Express ((1 + 26 + 1)*(-a + 5*a - 3*a) + 2*a + a - a)*(3548 - 986*a - 3548) in the form x*a**2 + r*a + v and give x.
-29580
Rearrange 8*z**2 - 19*z**2 + 24*z**2 + (2 + 1 - 2)*(-15*z**2 - z**2 + 3*z**2) + 1 - 1 + z**2 to the form t + j*z + w*z**2 and give w.
1
Rearrange 1414*a + 924*a + 1412*a to the form i + b*a and give b.
3750
Express -382*c**4 + 4*c**2 - 5 + 798*c**3 - 4*c**2 + 10 - 797*c**3 as w*c**3 + z*c**2 + a + f*c + i*c**4 and give i.
-382
Express 147*m**2 - 2*m**2 - 131 - 148*m**2 - 2 in the form o*m**2 + r*m + u and give o.
-3
Rearrange -86*u**2 + 556 + 87*u**2 - 584 to the form i*u**2 + n*u + d and give d.
-28
Express (23*i - 2706 + 1342 + 1364 - 44806*i)*(-1 + 0 + 3) in the form b*i + y and give b.
-89566
Express 9517*v + 105 + 188 + 20076*v - 293 in the form y*v + h and give y.
29593
Express 5 + 3*i**2 - 5 + (-1273*i**2 - 66309*i + 66309*i)*(-1 + 2 + 0) as u + y*i**2 + c*i and give y.
-1270
Express (-4 - 2 + 5)*(-2*q + 2*q + 2*q**3) + 2*q**2 - 491*q + 582*q**3 + 1620 + 497*q - 1621 as u*q**3 + c + m*q + k*q**2 and give u.
580
Express 0*i**2 + 2*i**2 - 32640055*i**3 + 32640942*i**3 - 3*i + 1 + 0 in the form g + r*i**2 + o*i**3 + d*i and give o.
887
Rearrange 0*v**3 + 2*v**3 + 2*v**3 + (6*v + 40*v + 11*v)*(33 - 33 - 12*v**2) + (-v + 3 - 3)*(v - v - v**2) to the form u*v + x + p*v**2 + w*v**3 and give w.
-679
Rearrange (-3 - 3*f + 3)*(-17 + 5 - 2)*(19*f + 16*f + 8*f + 1) to w + y*f + g*f**2 and give g.
1806
Express -h**3 - 44*h**2 + 106*h + 0*h**3 - 30*h + 1 - 2*h**4 - 74*h in the form c*h**2 + q + k*h**3 + j*h**4 + p*h and give q.
1
Express -v**3 + 2*v**3 - v**3 - 3 + 196639*v - 197010*v - v**3 in the form c*v + a*v**3 + i*v**2 + b and give b.
-3
Rearrange (-4 + 9 + 2)*(444*h + 444*h - 1012*h) to w*h + q and give w.
-868
Rearrange a - a - 4053*a**3 + 75876 - 75879 to the form w*a + m + y*a**3 + u*a**2 and give u.
0
Rearrange -8*a + 145*a**4 + 135*a**4 + 1 - 3*a**2 - 278*a**4 + 12*a**3 to the form s*a + h*a**3 + o + m*a**2 + i*a**4 and give i.
2
Express (1 - 1 - m**2)*(-2*m - m + 5*m) - m**3 + 4 - 4 + (-m**3 + m - m)*(-20 + 36 - 35 - 52) in the form v*m**2 + a*m**3 + w*m + t and give a.
68
Rearrange (-t**2 + 0 + 0)*((5*t - t - 2*t)*(4 + 2 - 5) - 2*t - t + 4*t + t - t - 2*t - 1214*t - 1692*t + 1049*t) to s*t**3 + m + p*t**2 + f*t and give s.
1856
Rearrange -48 - 3*s**2 + s**2 + 30 - 259*s + 19 to v*s**2 + p*s + h and give v.
-2
Rearrange -20*v - 11*v + 17*v + (2 - 2 + v)*(4 - 3 + 1) + (0 + 4 + 1)*(7 + 3*v - 7) to the form z*v + l and give z.
3
Express 3*o**3 + 6539*o**2 + o + 9 - 3069*o**2 - 3237*o**2 as z*o**3 + q + d*o + a*o**2 and give a.
233
Express (i + 2*i - i)*(-4 + 1 + 1)*(2372 - 250 - 877) as v*i + c and give v.
-4980
Rearrange -413 + 2646*x**2 - 1361*x**2 + 5*x - 1287*x**2 to the form i*x + u + g*x**2 and give g.
-2
Express (r + 0*r - 5*r + (-5*r - 12*r + 5*r)*(6 - 7 - 2))*(-2 + 4 + 2*r**2 + 4*r**3 - 5*r**3) as h*r + s*r**3 + y*r**2 + l*r**4 + t and give h.
64
Express 2*o**2 - 253*o**4 - 2*o + 80*o**4 - 18*o**3 + 75*o**4 + 96*o**4 + 49*o**3 as i*o**4 + f*o**2 + p*o + x + g*o**3 and give p.
-2
Express (4 - 2*y - 4 + y + 0*y - 4*y + (2 - 2*y - 2)*(-2 - 3 + 4))*(3 + 1 + 2)*(-7 + 4 - 1) as v*y + d and give v.
72
Rearrange (-1 + 1 + 3)*(1 - 1642*t + 755*t + 2*t**2 + 708*t) to s*t**2 + y + f*t and give f.
-537
Express (0*l + 0*l - l)*(-2 + 6 - 2)*(9*l + 19*l - 18*l + 2*l - 6*l + l + (-1 + 1 + 2)*(-4 + 4 + l)) in the form q*l + t*l**2 + k and give t.
-18
Rearrange 2705 + v**4 - 2697 - 10*v**3 - 6*v**3 to p + f*v**2 + q*v**3 + h*v + m*v**4 and give p.
8
Express (6*w**3 - w**3 - 4*w**3)*(223 - 222 - 904*w - 1297*w) in the form g*w**2 + o*w**3 + t + l*w**4 + h*w and give o.
1
Express -6 - 4*o**2 + 5 + 602*o**4 - 1 - o + 3*o**3 - 567*o**4 in the form a*o**4 + r + g*o**3 + h*o**2 + u*o and give h.
-4
Express (-b - 2*b + 4*b)*(4 - 5 + 0) - 2*b + b + 0*b + 13 - 13 + 3*b + b + 440*b + b in the form m + r*b and give r.
443
Express (-4*y**2 + 50397*y + 64*y**3 - 50397*y)*(-1 - 4*y + 22*y + 33*y) in the form u*y**4 + h + t*y**2 + g*y**3 + r*y and give t.
4
Express 675*n**3 + 12 - 14*n**2 + 13*n**2 + n - 778*n**3 as q*n**3 + t*n + x + c*n**2 and give t.
1
Express (2*n - 2*n + 2*n)*(n + 0*n - 2*n) - 14016 + 14016 + 168*n**2 + (0 + 4 - 2)*(0*n**2 - 2*n**2 + 0*n**2) in the form s*n**2 + v*n + p and give s.
162
Rearrange 8051*s - 19345*s + 35 - 35 - 16414*s to o*s + l and give o.
-27708
Rearrange 4766*o**3 - 9521*o**3 - o**2 + 31*o + 0*o**2 + 3 + 4761*o**3 to the form t*o + v*o**2 + q + b*o**3 and give q.
3
Express -2*t + t - 3*t + (-3 - 2 + 4)*(2*t + 4*t - 4*t) + (-627 + 1074 + 571 + 690)*(-3 + 3 + 2)*(-4*t + 5*t - 3*t) in the form a + g*t and give g.
-6838
Rearrange (-35 + 15 + 14 - 140 - 35)*(5*d - 8*d - 6*d) to the form c + u*d and give u.
1629
Express 11155 - 11153 - 156*t**2 + 3102*t**2 as n*t**2 + a + r*t and give n.
2946
Rearrange -366*h + 366*h - 67*h**4 + (-117*h**3 + 170*h**3 - 81*h**3)*(-1 + 1 + 2*h) to the form z*h**4 + b*h**2 + x*h**3 + w + u*h and give z.
-123
Rearrange (-7*u - 3*u - 50*u)*(711*u - 100*u**3 - 711*u) to the form o*u + t*u**4 + h + s*u**3 + g*u**2 and give t.
6000
Rearrange 3*b + 40 + 5*b + 39 + 17 to the form w*b + u and give u.
96
Rearrange 1113*t**3 - 15 - 2131*t**3 + 1059*t**3 to the form o*t + a*t**3 + z*t**2 + w and give w.
-15
Express -650 + 13753419*h**4 - h**3 + 2*h**3 - 13753420*h**4 + 2*h**2 in the form j*h**2 + x*h + w + c*h**3 + o*h**4 and give w.
-650
Express 3*h**4 - 2*h**2 + 30221*h**3 - 2*h**4 - 30380*h**3 + 2*h in the form z*h**4 + t*h + n*h**2 + y*h**3 + l and give n.
-2
Express -64*m - 64*m - 58*m**2 + 15 + 195*m - 67*m as f*m + w + x*m**2 and give w.
15
Express (-2*f**3 + 0*f**3 + 0*f**3)*(163*f + 474*f + 90*f) + (-2 + 2 - 1)*(-2*f**4 + 0*f**4 + 0*f**4) in the form t + v*f + n*f**3 + s*f**4 + k*f**2 and give s.
-1452
Express (140*w + 66*w + 188*w - 3*w + w + 0*w + (-3*w - w + 3*w)*(1 + 0 + 0) - 2*w + 5*w - w + (3*w - w - 3*w)*(-3 + 5 - 1))*(15 - 1 + 2) as t*w + r and give t.
6272
Rearrange (-672 + 1076 - 667)*(-3*b + 6*b + 4*b)*(-1 - 3 + 6) to the form d*b + x and give d.
-3682
Express 20*t**4 + 504*t - 18*t**2 - 90*t**4 + 516*t - 1018*t as l*t + k*t**3 + p*t**2 + b + i*t**4 and give i.
-70
Express -185*y - 28*y**2 + 28*y**2 + 199*y - 2 + 8*y**3 in the form a + n*y**2 + h*y**3 + o*y and give o.
14
Express -3*y**2 + 3250 + 21*y - 3263 + 2*y**4 - y**4 as n*y**3 + v*y**2 + k*y**4 + w + z*y and give z.
21
Rearrange 2*u**2 + 0*u**2 - u**2 + (-4*u + 4*u - 2*u)*(-3*u + 2*u + 0*u) + 162*u**2 - 24*u**2 - 5*u**2 - 2*u**2 - 3*u**2 + u**2 to x + w*u**2 + z*u and give w.
132
Express t - 176196 - 475*t**3 + 352403 - 176205 as b*t**2 + l + v*t**3 + r*t and give v.
-475
Express -3*t**3 - t**2 + 3*t**2 - 1 + 8*t - 31*t + 26*t as h*t**3 + f*t**2 + v*t + j and give f.
2
Express -l**2 - 7*l - 104338*l**4 - 11 + 104336*l**4 + 3*l**2 in the form g*l + y + s*l**2 + n*l**4 + x*l**3 and give s.
2
Express -2*v**3 + 2*v**4 - 1092 - 1053 + 2242 as u*v**2 + d + f*v + o*v**3 + t*v**4 and give o.
-2
Express 0*i + 8514263*i**2 - i - 1 - 8514521*i**2 in the form b*i + a + v*i**2 and give v.
-258
Rearrange -12374*z + 0 + 3*z**2 - 12363*z + 2 + 24737*z + 1261*z**3 to the form g*z**3 + m*z**2 + t + c*z and give t.
2
Express 10230*j**2 + 302 - 106 - 100 - 96 as q*j**2 + h*j + s and give q.
10230
Express 11*r**3 - r**2 + 5*r**3 + r + 4*r - 3 + r**2 + 2*r**2 as s*r**3 + w*r**2 + z + g*r and give z.
-3
Express 8 + 27353*x + 16 - 5878*x - 24 as l*x + z and give l.
21475
Rearrange (-55*v - 1129 + 1129)*(148 - 148 - 25*v)*(2 + 3 - 3) to n*v + x*v**2 + a and give x.
2750
Express (33 + 51 - 96)*(76*n + 209*n + n) in the form r*n + v and give r.
-3432
Express 1837 + 1829 - x**2 - 13*x - 3662 as s + h*x**2 + d*x and give d.
-13
Rearrange -1943*g - 964*g - 2831*g to b + h*g and give h.
-5738
Rearrange (-290*j + 201 + 598*j - 310*j)*(j + 4*j - j) + 8*j - 3*j - 6*j + 2*j**2 + 1 to the form u*j**2 + s*j + d and give s.
803
Rearrange -34*g**3 - 46*g**3 - 64*g**3 + 49*g**3 + (-15*g - 22*g**2 + 15*g)*(-6*g + 5 + 0 + 4*g) to the form j*g + p*g**3 + c + z*g**2 an | {
"pile_set_name": "DM Mathematics"
} |
ivided by 117.
3
-10362 divided by 471
-22
Calculate 44 divided by -27.
-44/27
Divide 175 by -3.
-175/3
What is -4 divided by -66?
2/33
5762 divided by 2881
2
-81 divided by -1
81
Divide -336 by 168.
-2
-7400 divided by 5
-1480
Divide -3717 by -3717.
1
What is -116 divided by -4?
29
540 divided by -30
-18
What is -2321 divided by 5?
-2321/5
What is 391 divided by 1?
391
What is 19388 divided by 2?
9694
What is 1 divided by -1631?
-1/1631
What is 42 divided by -4?
-21/2
Calculate -2 divided by -50.
1/25
Calculate 8952 divided by -6.
-1492
1146 divided by -1
-1146
What is -206 divided by -5?
206/5
Calculate 1200 divided by 6.
200
40 divided by 20
2
Calculate -599 divided by 6.
-599/6
What is 4 divided by 152?
1/38
Divide -86 by -37.
86/37
416 divided by 6
208/3
What is 2863 divided by -2?
-2863/2
Calculate -2 divided by 258.
-1/129
What is 542 divided by 11?
542/11
What is 683 divided by -5?
-683/5
3 divided by 353
3/353
Calculate -198 divided by -2.
99
8 divided by -53
-8/53
What is -2 divided by -5?
2/5
Calculate 11 divided by 24.
11/24
What is -26 divided by -13?
2
-2365 divided by 5
-473
Calculate 200 divided by -50.
-4
Calculate 44 divided by 4.
11
What is -6 divided by -213?
2/71
-380 divided by 10
-38
Calculate -5012 divided by -28.
179
Divide 75 by -6.
-25/2
Calculate 55 divided by -29.
-55/29
0 divided by 6
0
13 divided by -32
-13/32
What is -16752 divided by -6?
2792
Divide 503 by -9.
-503/9
Divide -15768 by -2.
7884
Calculate 761 divided by -3.
-761/3
Calculate -19 divided by 103.
-19/103
Calculate 38 divided by 18.
19/9
Calculate -4 divided by 58.
-2/29
Calculate 45 divided by -83.
-45/83
1 divided by 854
1/854
Divide 2 by -195.
-2/195
86 divided by -2
-43
116 divided by -4
-29
-4625 divided by 4
-4625/4
Calculate 407 divided by 4.
407/4
1 divided by 68
1/68
Calculate -3162 divided by 3.
-1054
Divide -402 by 201.
-2
What is 1513 divided by 2?
1513/2
350 divided by -70
-5
Divide -77 by 1.
-77
Divide -19 by -667.
19/667
Divide -15380 by -2.
7690
What is 8772 divided by -3?
-2924
What is 13 divided by 93?
13/93
Calculate 1563 divided by 5.
1563/5
-6576 divided by -6
1096
7925 divided by 5
1585
Calculate 2652 divided by 2.
1326
Divide 988 by -13.
-76
Divide -703 by -4.
703/4
-372 divided by 12
-31
What is -158 divided by 15?
-158/15
541 divided by 6
541/6
Divide 1893 by 1.
1893
1560 divided by 5
312
What is -84 divided by 1?
-84
Divide 10 by 9.
10/9
Divide 2047 by -1.
-2047
-4116 divided by -49
84
-4 divided by 4933
-4/4933
-3504 divided by 4
-876
-4212 divided by -1053
4
Divide 574 by 82.
7
Divide 3165 by 5.
633
-12428 divided by 4
-3107
2 divided by 44
1/22
Divide -5 by 877.
-5/877
Calculate -170 divided by 54.
-85/27
4788 divided by 19
252
Divide -68 by -17.
4
What is 4 divided by -101?
-4/101
-1 divided by -354
1/354
What is 54 divided by -1?
-54
5 divided by -1880
-1/376
Calculate -4 divided by -43.
4/43
Divide -5 by 108.
-5/108
Divide -504 by -72.
7
1732 divided by 4
433
What is 20253 divided by -3?
-6751
Divide -6372 by -2124.
3
What is 2272 divided by 1?
2272
What is 54 divided by -6?
-9
What is 146 divided by -3?
-146/3
What is -1750 divided by 70?
-25
Calculate -132 divided by -44.
3
Divide -217 by -7.
31
What is 10 divided by -34?
-5/17
Divide -296 by -4.
74
Calculate 9140 divided by -5.
-1828
Divide 3550 by -710.
-5
11 divided by -969
-11/969
What is 26 divided by 448?
13/224
Divide 0 by -119.
0
1 divided by 46
1/46
Divide 4080 by 20.
204
Calculate -19242 divided by 6.
-3207
0 divided by -122
0
What is 7 divided by -863?
-7/863
Calculate 4 divided by 56.
1/14
2 divided by 429
2/429
What is 3 divided by 14?
3/14
Calculate 0 divided by -89.
0
Divide 238 by -7.
-34
Divide -103 by 5.
-103/5
What is 12 divided by 1?
12
Divide -8127 by 9.
-903
Divide 45 by 45.
1
Divide -2 by -51.
2/51
Divide -5 by -70.
1/14
-2706 divided by 123
-22
Divide 4 by -682.
-2/341
Divide -1 by -191.
1/191
What is -18502 divided by -1?
18502
252 divided by 36
7
30 divided by 5
6
-432 divided by -216
2
-5 divided by -121
5/121
3042 divided by 6
507
Divide 2119 by 2119.
1
Divide -1 by -5.
1/5
What is 4860 divided by -4?
-1215
-870 divided by -145
6
Calculate -120 divided by 20.
-6
Calculate 372 divided by 93.
4
-646 divided by 34
-19
37 divided by 1
37
1 divided by 283
1/283
What is 30 divided by 2?
15
Divide -87 by 5.
-87/5
Divide -1 by 613.
-1/613
-16 divided by -32
1/2
Divide 3429 by 381.
9
-14 divided by -13
14/13
Calculate 30865 divided by 6173.
5
4384 divided by 2
2192
5 divided by 258
5/258
Divide 6780 by -452.
-15
What is -1200 divided by -80?
15
What is -6200 divided by 1240?
-5
Calculate 9800 divided by 5.
1960
-1178 divided by -31
38
Divide -2844 by -474.
6
Calculate -1770 divided by -177.
10
Calculate 186 divided by 71.
186/71
3 divided by -680
-3/680
-5 divided by -108
5/108
What is 672 divided by -28?
-24
Calculate 308 divided by -14.
-22
Calculate 2116 divided by 92.
23
Divide -1 by -1757.
1/1757
What is 5 divided by 231?
5/231
What is -167 divided by 1?
-167
152 divided by -38
-4
Divide -20 by -2.
10
-585 divided by -45
13
What is -7 divided by 7?
-1
Calculate -107 divided by -59.
107/59
Divide 348 by 87.
4
What is 1760 divided by -80?
-22
Divide 9448 by -2362.
-4
Divide 5028 by 1257.
4
Divide -1118 by -5.
1118/5
Divide 5 by -20.
-1/4
Divide -1050 by 14.
-75
Calculate 1827 divided by 261.
7
-3 divided by -42
1/14
Divide 3264 by 544.
6
Divide 18 by -4.
-9/2
What is 366 divided by 61?
6
Divide -96 by -8.
12
Calculate 8288 divided by 3.
8288/3
What is 3142 divided by -1?
-3142
Calculate 128 divided by 4.
32
-384 divided by 6
-64
Divide 117 by -9.
-13
25530 divided by -3
-8510
Calculate 3 divided by 1322.
3/1322
Divide -23 by 61.
-23/61
Divide -2 by 368.
-1/184
43 divided by -5
-43/5
What is -5 divided by -20?
1/4
129 divided by -8
-129/8
-7290 divided by -2
3645
Divide -2 by 81.
-2/81
What is -81 divided by -27?
3
71 divided by 108
71/108
What is 325 divided by 13?
25
What is -1 divided by -210?
1/210
Divide -6632 by 1658.
-4
What is -7 divided by -135?
7/135
12 divided by 41
12/41
Calculate -240 divided by 240.
-1
What is -20 divided by 2?
-10
Calculate -12 divided by 3.
-4
Calculate 3475 divided by -3475.
-1
What is -6307 divided by -3?
6307/3
-1448 divided by 2
-724
What is 324 divided by -3?
-108
Calculate 220 divided by 2.
110
Divide -1332 by 444.
-3
-4 divided by -199
4/199
Calculate -19 divided by -4.
19/4
What is 1574 divided by 2?
787
Divide 10 by -214.
-5/107
-48 divided by 2
-24
Divide -1312 by 16.
-82
What is 11754 divided by -1?
-11754
Calculate -10 divided by 46.
-5/23
-73 divided by 73
-1
64 divided by -1
-64
Divide 5 by 1081.
5/1081
What is 106 divided by -5?
-106/5
3 divided by -292
-3/292
-1080 divided by 24
-45
Calculate -2 divided by 6.
-1/3
Calculate -14371 divided by 1.
-14371
817 divided by 1
817
Calculate 86 divided by -5.
-86/5
What is -4 divided by -226?
2/113
Divide -594 by 6.
-99
1888 divided by 472
4
Divide 0 by -97.
0
Divide 3 by -33.
-1/11
13994 divided by 2
6997
What is -6754 divided by -2?
3377
156 divided by 2
78
Calculate -38 divided by 38.
-1
Calculate 130 divided by 4.
65/2
Calculate 471 divided by 157.
3
Divide 6561 by -27.
-243
Calculate -240 divided by 120.
-2
4 divided by -267
-4/267
Divide 0 by 254.
0
Calculate -192 divided by -32.
6
Calculate -4 divided by -38.
2/19
Divide -1536 by -6.
256
-5 divided by 10
-1/2
Calculate 798 divided by 1.
798
Divide 97 by -2.
-97/2
What is -3915 divided by -27?
145
What is 450 divided by 5?
90
Divide -2 by 49.
-2/49
What is 119 divided by -4?
-119/4
Divide -2040 by -4.
510
Calculate -4 divided by -23.
4/23
Divide 8586 by -54.
-159
20 divided by -312
-5/78
What is 1758 divided by -6?
-293
Calculate -2592 divided by 162.
-16
Calculate 787 divided by 5.
787/5
165 divided by -7
-165/7
What is -855 divided by -3?
285
-10 divided by 63
-10/63
Divide 0 by -39.
0
Calculate 2 divided by -77.
-2/77
Calculate -3088 divided by -8.
386
Calculate 4 divided by 4.
1
Calculate 22785 divided by -465.
-49
What is -14660 divided by -4?
3665
Calculate -91 divided by -7.
13
What is 0 divided by -3762?
0
Divide -345 by 3.
-115
2 divided by 34
1/17
-60 divided by 12
-5
Calculate 35150 divided by 6.
17575/3
Calculate -3 divided by 21.
-1/7
Divide 129 by 119.
129/119
5 divided by -98
-5/98
4 | {
"pile_set_name": "DM Mathematics"
} |
(11)
Simplify (sqrt(245)*-1 + 2)**2 - ((sqrt(45) - sqrt(90)/(sqrt(14)/sqrt(7))) + sqrt(45))**2.
-28*sqrt(5) + 204
Simplify ((sqrt(190) - (sqrt(190)*-1 + sqrt(190)) - sqrt(190))*-2 + sqrt(190))/(sqrt(10) - (sqrt(1440)*3 - sqrt(1440))).
-sqrt(19)/23
Simplify (((sqrt(121) + sqrt(121)*-3*1 + sqrt(121))*6)/(-5*sqrt(396)*-3))**2.
11/225
Simplify (-1*(sqrt(136) + sqrt(136)*4 + sqrt(136) - sqrt(136)) - sqrt(136))/sqrt(8) + sqrt(68)/(sqrt(32)/(sqrt(8) + sqrt(32)/sqrt(4))).
-4*sqrt(17)
Simplify (1 + (-3 + 0 + sqrt(11) - (sqrt(11) + (sqrt(11) - -5*sqrt(176))))*-6)**2.
4788*sqrt(11) + 174997
Simplify (sqrt(72)*1 - (0 + sqrt(288))) + sqrt(8)/(sqrt(4) - (sqrt(4) - (sqrt(324) + sqrt(324) + 2*sqrt(324)))).
-215*sqrt(2)/36
Simplify (1*sqrt(288) - (sqrt(288)*1 - sqrt(288)))**2 + sqrt(2) + -6*sqrt(6)/sqrt(3) + (1*sqrt(200) + sqrt(200))**2.
-5*sqrt(2) + 1088
Simplify 4*sqrt(128)*2 + (sqrt(154)/sqrt(176))/sqrt(7) + 4.
4 + 257*sqrt(2)/4
Simplify (3 + sqrt(343) + (5*sqrt(343) - sqrt(343)) - (sqrt(343) + (3*(-1 + sqrt(343)))**2)) + -1.
-3094 + 154*sqrt(7)
Simplify -6*(sqrt(204)/(2*sqrt(768)) + 0 + sqrt(136)/(sqrt(16)/sqrt(2))).
-51*sqrt(17)/8
Simplify (sqrt(288) + -3 + 4)*3 + 5.
8 + 36*sqrt(2)
Simplify ((-6*(sqrt(76) - ((sqrt(76) + sqrt(76)*-1 - sqrt(76)) + sqrt(76)) - sqrt(76)) - sqrt(76)) + 1*sqrt(76)*6)/(1*-1*sqrt(100))*-4.
4*sqrt(19)
Simplify (((sqrt(132) - ((sqrt(132) - sqrt(132)*2*-2) + sqrt(132)))*-5)/(sqrt(36)/(sqrt(432)*2 + sqrt(432))))**2.
8910000
Simplify (-2 + (-4*(0 + sqrt(245) + sqrt(245))*-3)**2)*-3.
-423354
Simplify -6*(sqrt(432) - (sqrt(432) - (sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*2 - sqrt(432)))))))/(sqrt(108)/sqrt(3)).
-12*sqrt(3)
Simplify (sqrt(242)*2)**2 - (sqrt(2)*-1 + -1) - ((-5 + 0 + sqrt(2))**2 + sqrt(2) + sqrt(32) + -5).
6*sqrt(2) + 947
Simplify (4*sqrt(252) - (sqrt(63)*1*-5 - sqrt(63)))/(4*(sqrt(225) - (sqrt(225) + sqrt(225)*-3))).
7*sqrt(7)/30
Simplify (2 + (sqrt(539)*-1 - (sqrt(176) + 0) - 4*(-5*sqrt(11) + 5 - sqrt(11))))**2.
-468*sqrt(11) + 2183
Simplify (6*(sqrt(80) - -3*sqrt(80)))**2*-3*2.
-276480
Simplify ((sqrt(96) + 3*(sqrt(96) - ((1*sqrt(96) - sqrt(96)) + sqrt(96))))/sqrt(8))/((sqrt(6) - sqrt(24)*-6) + (sqrt(12)*-2)/sqrt(2)).
sqrt(2)/11
Simplify -3 + sqrt(55)/(sqrt(704)*-2 - sqrt(704)) + (-1 + sqrt(245) - sqrt(245) - (sqrt(50)/sqrt(2) + sqrt(25))/sqrt(5))**2 + -1.
95*sqrt(5)/24 + 17
Simplify sqrt(2548) + 4 - (sqrt(52)*-2 + 4).
18*sqrt(13)
Simplify (2*(1 + sqrt(432) + (sqrt(432) - (sqrt(432) + 2)) + -3))**2.
-384*sqrt(3) + 1792
Simplify ((-1*sqrt(44)*3)/sqrt(4) - (-2 + sqrt(11) + -5)*-5)**2.
-140*sqrt(11) + 1269
Simplify 2*(0 + ((2 + sqrt(272) + -1)*-6)**2).
576*sqrt(17) + 19656
Simplify ((2*(-1*sqrt(187) - sqrt(187)) - sqrt(187)) + -6*sqrt(187)*1)/((-2*sqrt(77) + sqrt(77))/sqrt(7) + sqrt(11) - sqrt(66)/(sqrt(6) + sqrt(12)/sqrt(2))).
22*sqrt(17)
Simplify 3*(2 + 0 + sqrt(5) + sqrt(50)/sqrt(40))**2*-1.
-183/4 - 18*sqrt(5)
Simplify (sqrt(125)*1 + sqrt(125))**2 + sqrt(5) + sqrt(5) + (sqrt(5) + 1 + sqrt(5))*-6 + 2*(sqrt(15)/sqrt(3) - sqrt(5)) + 4 + -3.
-10*sqrt(5) + 495
Simplify -5*(sqrt(1216)*-1 + (-4*sqrt(931) - sqrt(931))).
215*sqrt(19)
Simplify -1 + (sqrt(275)/sqrt(5))/sqrt(11) + (sqrt(5) - 3*sqrt(245) - sqrt(5)) + 3.
-20*sqrt(5) + 2
Simplify (sqrt(170)*-3*3)/sqrt(10) + (sqrt(170)/sqrt(40) - (2 + sqrt(153))).
-23*sqrt(17)/2 - 2
Simplify ((sqrt(216)*3)/sqrt(6))/(sqrt(300) + (sqrt(300) - 3*sqrt(300) - sqrt(300) - sqrt(300))) + -4.
-4 - sqrt(3)/5
Simplify sqrt(170)/(sqrt(10)*-1*5)*1 + ((sqrt(17) - (sqrt(17) + 3))*4)**2 + sqrt(17) + (3 + sqrt(17))*3.
19*sqrt(17)/5 + 153
Simplify (2 + (-1*2*sqrt(22))/(sqrt(98)*3 + sqrt(2)))**2.
-4*sqrt(11)/11 + 45/11
Simplify -6*((sqrt(1008)*-2 - sqrt(1008)) + -4 + -5) + 1.
55 + 216*sqrt(7)
Simplify (4*sqrt(2240)*3)/(sqrt(10)/(sqrt(200) + (sqrt(200)*-3 - sqrt(200)))).
-2880*sqrt(7)
Simplify -1*((sqrt(144) - (sqrt(144) + sqrt(144) + 2*sqrt(144)))/sqrt(3))/(sqrt(96)*2 - sqrt(600)*-2).
3*sqrt(2)/14
Simplify 3 + ((sqrt(242) + 0)*1 + -3*(sqrt(242)*2 + sqrt(242) + sqrt(242)) + sqrt(242))**2.
24203
Simplify (-2*(sqrt(187) + (sqrt(187) + (sqrt(187) - (sqrt(187)*2 + sqrt(187))))*5 + sqrt(187)))/(sqrt(110)/(-4*sqrt(1210))).
-264*sqrt(17)
Simplify (4*(sqrt(99)*1 - sqrt(99)) - (sqrt(99) + -5*1*sqrt(99)))/(-2*1*sqrt(9)*-5).
2*sqrt(11)/5
Simplify (-4 + (-4*(sqrt(102) + -2*sqrt(102)))/(5*(sqrt(6) - sqrt(6)*-1))*6)*6.
-24 + 72*sqrt(17)/5
Simplify (4 + -1*4*(sqrt(125) + sqrt(125) + 0 + -4) + 4)**2.
-1920*sqrt(5) + 8576
Simplify ((-2*sqrt(75) - -5*-2*sqrt(3)) + ((-1*sqrt(33))/sqrt(11) - (sqrt(3) - (sqrt(3)*1*3 - sqrt(3)))))**2.
1200
Simplify (3*(1 + ((sqrt(80) + 2)*2 - (2 + sqrt(80) + 3))))**2.
720
Simplify (sqrt(68) + -4*2*sqrt(68))/(sqrt(64)*-2).
7*sqrt(17)/8
Simplify -2*(((sqrt(325) + sqrt(325)*1 + 0)**2 - (sqrt(325) - (0 + (1 + sqrt(325) - sqrt(325))))) + -2 + (6*(0 + sqrt(325)))**2).
-25998 + 10*sqrt(13)
Simplify (2*(sqrt(84) - (-1*sqrt(84) - sqrt(84))))/((sqrt(7)*-2 + sqrt(7))*-2).
6*sqrt(3)
Simplify -2*((sqrt(637)*2)**2*-3 + (2*sqrt(637))**2*1 + -3).
10198
Simplify -1 + (3*(2*sqrt(2200) - sqrt(22))/(-1*sqrt(1331)))**2.
6377/121
Simplify ((sqrt(24) + (-4*sqrt(48))/sqrt(2))/(sqrt(768)*-3) + -1)**2*5.
-5*sqrt(2)/4 + 165/32
Simplify 2*(-5*(sqrt(5)*-2 + -1) + -4 + sqrt(5) + sqrt(5) + ((sqrt(5) + 3 + sqrt(245))**2 - sqrt(5))).
118*sqrt(5) + 660
Simplify (sqrt(7344) + sqrt(7344) + (sqrt(7344) - (4*sqrt(7344)*-1 - sqrt(7344)) - sqrt(7344)) + sqrt(7344) + sqrt(7344) + sqrt(7344))/((6*sqrt(300))/sqrt(4)).
4*sqrt(17)
Simplify (sqrt(144)/((3*sqrt(108))/sqrt(9)))/((sqrt(4) + sqrt(40)/sqrt(360))*5).
2*sqrt(3)/35
Simplify (sqrt(15) - (sqrt(1500) - 2*sqrt(1500) - sqrt(1500)))/sqrt(3)*-4 + -5*sqrt(30)/(sqrt(162)/sqrt(3)).
-257*sqrt(5)/3
Simplify -4*((((sqrt(171) - sqrt(171)*-2)*5 + sqrt(171))*-2)/((sqrt(1296) - 2*sqrt(1296))*5))**2.
-4864/225
Simplify (6*(sqrt(1700) + sqrt(1700) + -3 + 5 - 6*(sqrt(1700) + (sqrt(1700) - -1*sqrt(1700))))*-6)**2.
-829440*sqrt(17) + 564024384
Simplify (-1 + (sqrt(11) + 2)**2 + sqrt(33)/(3*sqrt(3)))*-6.
-26*sqrt(11) - 84
Simplify (5*sqrt(78)*-2)/(sqrt(24)/sqrt(4)*-6) + -3.
-3 + 5*sqrt(13)/3
Simplify (-2*(sqrt(495)/(3*sqrt(9)) - sqrt(55)))/(sqrt(40)/(sqrt(80)/(-2*sqrt(10)))).
-2*sqrt(11)/3
Simplify ((-4 + (0 + sqrt(2057) - sqrt(2057)) + -5 + sqrt(2057) + -1 + sqrt(2057))*-5)**2.
-11000*sqrt(17) + 208200
Simplify ((sqrt(800) + sqrt(800) + 4*sqrt(800)*1)/(sqrt(4) + -5*sqrt(4)*-2 + 6*(sqrt(4) - sqrt(12)/sqrt(3))))**2.
7200/121
Simplify ((sqrt(637) - (sqrt(637) + -1 + sqrt(637)))**2 + sqrt(637) - sqrt(637)) + 5 + (4*-1*sqrt(52))**2.
-14*sqrt(13) + 1475
Simplify -2 + ((sqrt(80) + sqrt(20) + sqrt(20))/sqrt(4) - sqrt(5)) + 4*(sqrt(245) + sqrt(245) + 2*sqrt(245)).
-2 + 115*sqrt(5)
Simplify 3*(sqrt(1300) - (sqrt(1300)*2 + sqrt(1300))) + 5*(sqrt(13) + -3*sqrt(13)*4).
-115*sqrt(13)
Simplify (sqrt(2448) - -1*sqrt(2448) - sqrt(2448)) + -2 - (2 + (sqrt(68)/sqrt(4)*2)**2).
-72 + 12*sqrt(17)
Simplify ((-1*5*(sqrt(272) - (0 + sqrt(272) + sqrt(272))) - -5*(-2 + sqrt(272) + -2*sqrt(272)))*6)**2.
3600
Simplify (4 + sqrt(833) + 5*sqrt(833) + (sqrt(833) + 2)*6)**2.
2688*sqrt(17) + 120208
Simplify (1*sqrt(2816))/(sqrt(16)*-3) + (-5 + sqrt(275) + sqrt(11) - sqrt(33)/sqrt(108)).
-5 + 9*sqrt(11)/2
Simplify ((sqrt(19) + (-1*sqrt(152))/sqrt(8) - 5*sqrt(57)/sqrt(3)) + -2)**2 + (sqrt(171) - (sqrt(171)*1*6 - sqrt(171)) - (3 + 0 + sqrt(171))**2).
-10*sqrt(19) + 299
Simplify ((3*-2*sqrt(2744) + sqrt(2744))/((2*sqrt(128) - sqrt(128))*-5))**2.
343/16
Simplify ((sqrt(1331) + sqrt(1331)*1 + -4 + sqrt(1331))*-3 - (((sqrt(1331) - (sqrt(1331) + -2)) + -4 - sqrt(1331) - sqrt(1331)) + 2))**2.
-1848*sqrt(11) + 65363
Simplify (((sqrt(432)*2 + sqrt(432))*1)/sqrt(12))/(sqrt(972) + (sqrt(972) + sqrt(972)*-3)*3).
-sqrt(3)/15
Simplify (-1 + sqrt(425) + 3 + sqrt(425) - (-3 + -1*sqrt(425)))**2 + 1.
150*sqrt(17) + 3851
Simplify (sqrt(297)/((sqrt(110) - sqrt(110)*2)/sqrt(10)))/(sqrt(99)/(sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11) - sqrt(11)) - (sqrt(9) - 1*sqrt(1089))).
-2*sqrt(3)/21
Simplify (((sqrt(832)*1*-1 - sqrt(832)) + (sqrt(832) - 6*(sqrt(832)*1 + sqrt(832)) - sqrt(832)))*5)**2*5.
20384000
Simplify (2*-1*(sqrt(26)*-2 - sqrt(26)))/((sqrt(128)*2 + sqrt(2))*1).
6*sqrt(13)/17
Simplify ((2*sqrt(11)*-1 - sqrt(11)*2*3) + ((sqrt(220) | {
"pile_set_name": "DM Mathematics"
} |
*3*u + 65*h**3 + 2*h*j**2*u - 46*j**2*u + j**2 + j with respect to u.
h**3 + 2*h*j**2 - 46*j**2
Differentiate 9205*d**3 - 12972 with respect to d.
27615*d**2
What is the first derivative of 237*g**3 + 145?
711*g**2
What is the first derivative of 515*g*j**4*r - g*r - 3*g + j**2*w + 3*j*r*w - r + 280*w wrt j?
2060*g*j**3*r + 2*j*w + 3*r*w
What is the second derivative of 125*d**4 - 9*d**2 - 91*d - 1?
1500*d**2 - 18
What is the derivative of -2*u**2*z**3 + 4*u**2 - 143*u*z**3 - 10*u wrt z?
-6*u**2*z**2 - 429*u*z**2
Find the second derivative of 4*b*i**2*s - 5*b*i**2 - 6*b*i*s + b*i + 3*i**2*s - 8*i*s - i wrt i.
8*b*s - 10*b + 6*s
Differentiate a**2 - 1701*a + 1074 wrt a.
2*a - 1701
Find the third derivative of -351*t*v**3 + 2*t*v**2 + 3*t - 2 wrt v.
-2106*t
Find the first derivative of 275*n**4 - 16.
1100*n**3
What is the third derivative of -123*i**2*k**3 + i**2*k + 141*i*k**2 - 2*i wrt k?
-738*i**2
What is the second derivative of -57*g**3*h**2*r - 2*g**3*h**2 - 8*g**3 + 3*g**2*h*r - 5*g*h - 2*h**2*r wrt h?
-114*g**3*r - 4*g**3 - 4*r
Differentiate -6464*u*y**2 + 4760*u wrt y.
-12928*u*y
What is the second derivative of s**5 - 594*s**4 + 3*s + 285?
20*s**3 - 7128*s**2
Find the third derivative of 61*i**5 - 31*i**4 - 1675*i**2 wrt i.
3660*i**2 - 744*i
Find the third derivative of -29*k**6*m**2 + k**6*z - 3*k**2*m**2*z - 10*k**2*m*z wrt k.
-3480*k**3*m**2 + 120*k**3*z
What is the second derivative of 2493*v**2 - 5409*v wrt v?
4986
Find the first derivative of -118*f*i**2 - f*i*n - 2*i**2 - i*n - 367 wrt f.
-118*i**2 - i*n
What is the second derivative of 555*s**2 + 2*s + 142 wrt s?
1110
Find the second derivative of 2*f**2*t*v**3 + f**2*v**3 + 13*f**2 + f*t*v - 22*f*t + f*v**2 + 3*t*v**3 wrt f.
4*t*v**3 + 2*v**3 + 26
Differentiate -4*j**2*m + j**2*o + 13*j*m**2*o - 21*j*o + 2*m*o wrt m.
-4*j**2 + 26*j*m*o + 2*o
Find the second derivative of -a**5 - 2*a**3*n + 362*a**2*n + 2*a**2 - 56*a*n - 49*a - n wrt a.
-20*a**3 - 12*a*n + 724*n + 4
Find the third derivative of -349*n**3 - n**2 - 139*n wrt n.
-2094
What is the third derivative of -46*a**5*b + 3*a**3*b**3 - 3*a**2*b - 4*b**3 wrt a?
-2760*a**2*b + 18*b**3
What is the second derivative of -1784*i**5 - 9*i?
-35680*i**3
What is the first derivative of 2*b**3*q**3*u + 3*b**3*q**3 + 12*b**3*q*u - 104*q**3 wrt u?
2*b**3*q**3 + 12*b**3*q
Find the second derivative of 1067*l**2 + 801*l.
2134
Find the third derivative of -254*m**3 - 122*m**2 - 10*m.
-1524
What is the first derivative of 187*q**3 + 2*q**2 - 194?
561*q**2 + 4*q
Find the third derivative of -37*h**2*n**3 - 2*h**2 - 94*h*n**2 - 4*n**4 - n**3 wrt n.
-222*h**2 - 96*n - 6
Differentiate 3*r**3 + 5*r**2 + 6*r - 4785 with respect to r.
9*r**2 + 10*r + 6
Find the first derivative of -110*v**2 - 412.
-220*v
Differentiate -64*l*u**2 + 4*l - 2*u**2 + 50*u with respect to l.
-64*u**2 + 4
Find the third derivative of -144*q**6 - 116*q**2 wrt q.
-17280*q**3
Differentiate 160*o*p*q + 182*o*p + 2*o - p + 2*q wrt q.
160*o*p + 2
Find the third derivative of 8*c**2*q**4 - 7*c**2*q + 7*c*q**4 - 10*c*q**2 wrt q.
192*c**2*q + 168*c*q
What is the derivative of -32*j**2*z**3 - 6*j**2 + 2*j*z**2 + 2*z**3 - 58*z**2 wrt j?
-64*j*z**3 - 12*j + 2*z**2
Find the first derivative of 2*g**3*t - 109*g**3*y + 4*g**3 - 11*g*y + 2*g + 212*t**2*y + 16*t*y wrt t.
2*g**3 + 424*t*y + 16*y
Find the third derivative of -1798*a**2*o**3*r**4 - a**2*o**3*r**2 + 1545*a**2*o*r**2 - 3*r**4 wrt r.
-43152*a**2*o**3*r - 72*r
Differentiate 18266*k*w**2 + 16227*w**2 with respect to k.
18266*w**2
Find the first derivative of -2*g*o**3 + 2*g*o**2*u + g - 94*o**3*u - 6 wrt u.
2*g*o**2 - 94*o**3
What is the third derivative of -3*q**5 + 4311*q**4 - 4635*q**2 - 2*q wrt q?
-180*q**2 + 103464*q
What is the second derivative of -305*l**2 + 23*l + 3 wrt l?
-610
Differentiate -2*y**2 - 309*y - 1394 wrt y.
-4*y - 309
Differentiate -f**2*i*x - f**2*i - 124*f**2*p*x + f*p - 9*i**2*p - 2*i**2 - p*x with respect to i.
-f**2*x - f**2 - 18*i*p - 4*i
What is the third derivative of -134*q**4*r**2 + 2*q**2*r**2 - 94*q**2 - 2*r**2 wrt q?
-3216*q*r**2
Find the third derivative of 6*f**4*l + 4*f**4 + 12*f**3*l - 4*f**2*l - f*l - 2*l wrt f.
144*f*l + 96*f + 72*l
What is the third derivative of 226*v**3 + 289*v**2?
1356
What is the first derivative of 115*h**3*k**2*y - h**3*k**2 + 391*k**2*y + 2*k wrt h?
345*h**2*k**2*y - 3*h**2*k**2
What is the derivative of 2*m*n**2 + 2758*m*n*v + 2*m*v - 99*m - n**2 + 13*v - 1 wrt n?
4*m*n + 2758*m*v - 2*n
Find the third derivative of -2122*o**3 - 2*o**2 + 357*o.
-12732
What is the second derivative of -210*t**4 - 298*t wrt t?
-2520*t**2
What is the second derivative of 12*n**2*o**3 + 6*n**2*o**2 - 36*n**2 + 15*n*o - o**3 wrt o?
72*n**2*o + 12*n**2 - 6*o
What is the derivative of 114*r**2 - r - 1148?
228*r - 1
What is the derivative of -701*x**2 + 1048?
-1402*x
Find the first derivative of -25*g**2*t*x**3 - 6*g**2*t - 5*g**2*x - 2*t*x**3 + 24*t*x**2 + 8*x**3 + 4*x wrt g.
-50*g*t*x**3 - 12*g*t - 10*g*x
Find the second derivative of -3*f**2*u**2 - 11*f**2 - 1229*f*u**2 + f*u wrt f.
-6*u**2 - 22
Find the second derivative of -2*a*v**2 - a - 3875*v**2 - 1927*v wrt v.
-4*a - 7750
Differentiate 4498*h*t - 5*h - 581 wrt t.
4498*h
Find the first derivative of -148*d**4 + 3*d**2 - d*k**3 - k**3 + 6780*k**2 wrt d.
-592*d**3 + 6*d - k**3
Find the third derivative of -21792*c*n**5 + 2*c*n**4 - 7*c*n**2 - 5*c + 2*n**2 - 78*n wrt n.
-1307520*c*n**2 + 48*c*n
What is the first derivative of -455*x**3 + 890 wrt x?
-1365*x**2
Differentiate -b**4*l + 119*b*l**2 - 174*l**2 wrt b.
-4*b**3*l + 119*l**2
Find the second derivative of -245*x**2 + 264*x wrt x.
-490
What is the derivative of 2*p*u**2 + 226*p - 24*u**2 wrt p?
2*u**2 + 226
What is the third derivative of -3*c**2*u**4 + 333*c**2*u**2 + 2*c*u - 93*u**5 - 2*u**4 wrt u?
-72*c**2*u - 5580*u**2 - 48*u
What is the third derivative of -7*h**3*v**3 - 11*h**3*v**2 - 183*h**3 + 23*h*s*v**3 - 2*s*v**3 + 2*s - v**3 wrt v?
-42*h**3 + 138*h*s - 12*s - 6
Find the third derivative of -297*v**3 + 37*v**2 - 1 wrt v.
-1782
What is the third derivative of -3*h**6*z - 8*h**3*t + 13*h**3*z**2 + 1606*h**2*t*z**2 wrt h?
-360*h**3*z - 48*t + 78*z**2
Find the first derivative of -1983*b*q + 22851*b - 2*q wrt q.
-1983*b - 2
Find the second derivative of -2236*l**2 + 76*l wrt l.
-4472
Differentiate 731*s*t**2 + t**2 - 390 with respect to s.
731*t**2
Differentiate -45*j*y**2 - 2*j*y - 64*j - 2*y**2 - 1 with respect to y.
-90*j*y - 2*j - 4*y
What is the first derivative of -i*l*s - 18*i*l - 4*i - 37*l*s - 10*l wrt i?
-l*s - 18*l - 4
What is the first derivative of -88*g + 164 wrt g?
-88
What is the second derivative of -28006*c*o*z**2 - 2*c*o*z - 2651*c wrt z?
-56012*c*o
What is the second derivative of -1457*m**3 + 715*m - 3 wrt m?
-8742*m
Find the first derivative of 2*j**2*y**3 - 7*j**2*y**2 + 40*j**2 - 2190*y**3 wrt j.
4*j*y**3 - 14*j*y**2 + 80*j
What is the second derivative of 379*i**2*r**2 - 15*i**2 - 2*i*r**2 - i*r - 2*r**4 - r**2 - 4*r wrt r?
758*i**2 - 4*i - 24*r**2 - 2
What is the first derivative of -272*d**2 - 6*d + 2472 wrt d?
-544*d - 6
Find the first derivative of -17*c**2*f**2*y - 159*c**2*f - 4*c**2*y + 2*f**2 wrt y.
-17*c**2*f**2 - 4*c**2
Find the third derivative of 6*f*h**3*r**3 - f*h**2*r**3 + 2*f*h**2*r**2 - 60*f - 16*h**3*r**3 wrt h.
36*f*r**3 - 96*r**3
Differentiate -29*j**2 - j - 192 wrt j.
-58*j - 1
What is the second derivative of 38*x**3 + 64*x**2 - 3192*x?
228*x + 128
Find the third derivative of -410*r**5 - 1999*r**2.
-24600*r**2
Differentiate -1024*j*r + 1157*j wrt r.
-1024*j
Find the second derivative of 3035*a**2*f**2 + 218*a**2 - 2*f wrt f.
6070*a**2
Find the first derivative of -2*a**3*m*p - 3*a**3*m*r + a**3 + 10*a**2*m**3*r + 99*a*m**3*p - a*m**2*p + 2*p*r wrt r.
-3*a**3*m + 10*a**2*m**3 + 2*p
Find the third derivative of 30*o**3*x**2 + 5*o**3 + o**2*x**2 + 3*o*x**2 - 15*o*x wrt o.
180*x**2 + 30
Find the second derivative of -4999*z**5 + z**4 - 7693*z - 2 wrt z.
-99980*z**3 + 12*z**2
What is the second derivative of 50*h**4 + h**3*t + 2*h**2*t - 15*h*t - 2*h - 3 wrt h?
600*h**2 + 6*h*t + 4*t
What is the second derivative of -129*m**5 + 83*m?
-2580*m**3
Find the third derivative of -4404*l**3*m**3 + 2*l**3 - 2*l**2 + 330*l - m**3 + | {
"pile_set_name": "DM Mathematics"
} |
+ -1 + sqrt(468) + -4 + sqrt(468))**2 - (-1 + sqrt(468) + 0))*6 + 5 + 5.
-1116*sqrt(13) + 25438
Simplify (2 + (2*(sqrt(176) - (sqrt(176) - (sqrt(176) - sqrt(176)*2))))/(sqrt(16)*-1))**2.
8*sqrt(11) + 48
Simplify ((sqrt(3087) + sqrt(3087) + sqrt(3087)*-5)/(sqrt(27)/(sqrt(3)*4) + sqrt(9) - sqrt(9))*2)**2.
197568
Simplify (3 + 2*(sqrt(75)/(sqrt(405) - sqrt(5)))/sqrt(5))*-3.
-9 - 3*sqrt(3)/4
Simplify (sqrt(130) - -5*-1*sqrt(130) - (sqrt(130) + (2*sqrt(130) - sqrt(130))*5))/((sqrt(160)/sqrt(4))/sqrt(4) + (sqrt(10)*-2 - sqrt(10))*-6).
-10*sqrt(13)/19
Simplify (2 + 2*(-2 + sqrt(612)))**2*-1*-1.
-48*sqrt(17) + 2452
Simplify 3*(sqrt(76) + 2)**2 - ((2 + sqrt(2299))**2 + -2 + sqrt(2299)).
-2061 - 31*sqrt(19)
Simplify sqrt(35)/sqrt(63) + 1 + sqrt(80) + -4 + 3.
13*sqrt(5)/3
Simplify 6*(sqrt(605) - (1*sqrt(605)*6)**2) - (-2*sqrt(605)*2 + sqrt(605) + sqrt(605) + sqrt(605) + 5*(sqrt(605) + 0)).
-130680 + 22*sqrt(5)
Simplify ((5*(-1 + sqrt(1539)) + sqrt(1539)*1 + 5 + -5*(0 + sqrt(1539) + 2))*-5)**2.
-4500*sqrt(19) + 40975
Simplify (1*sqrt(32) - (1 + (sqrt(2) - sqrt(8))))**2 - ((sqrt(72)*1)**2*1 - (2*sqrt(72))**2*-3).
-885 - 10*sqrt(2)
Simplify (3 + 0 + (sqrt(153) + (sqrt(153) - 1*sqrt(153)) + sqrt(153))**2*2)*1.
1227
Simplify -2 + (((2*sqrt(162))/sqrt(6))/(sqrt(99)/(sqrt(11) - (sqrt(55)/sqrt(5) + sqrt(11)))))**2.
10
Simplify (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + -5*sqrt(1584)*4)))/(6*(sqrt(4) + (sqrt(120)/sqrt(5) - sqrt(24))/sqrt(6))).
-19*sqrt(11)
Simplify (-3 + (3*-1*sqrt(224))/(sqrt(8) - (sqrt(288) - (-2*sqrt(288) - sqrt(288))) - sqrt(8)))**2.
-3*sqrt(7)/2 + 151/16
Simplify (sqrt(3) + 2 + 4 + 4 - (sqrt(3)*1*-4 + sqrt(9)/sqrt(3) + -4))**2*2.
224*sqrt(3) + 488
Simplify -3 + sqrt(360)/sqrt(2) + (sqrt(270)/(sqrt(6)*-3))/sqrt(9).
-3 + 17*sqrt(5)/3
Simplify 5*((sqrt(171) - (sqrt(171) - 1*sqrt(171)))**2 + -1) + -2 + ((sqrt(171) - (sqrt(171) + sqrt(171)*1)) + -1)**2.
6*sqrt(19) + 1020
Simplify ((sqrt(12)/(sqrt(24)/sqrt(6)) - (sqrt(192) - 3*sqrt(192))) + (-3*sqrt(30)*-1)/(sqrt(250) - -1*sqrt(250) - sqrt(250)))**2.
23232/25
Simplify (((sqrt(3) + -2*sqrt(12))**2 - (sqrt(3) + (sqrt(3) + sqrt(3)*-1 + 4)**2 + sqrt(3))) + (sqrt(243) + 1)**2 + sqrt(135)/sqrt(5))*-6.
-1530 - 114*sqrt(3)
Simplify (-5 + 3 + (sqrt(2) + sqrt(2) + (sqrt(100) + sqrt(4) - sqrt(4))/sqrt(2) - sqrt(2)) + -5)**2.
-84*sqrt(2) + 121
Simplify (-1*(0 + sqrt(3)) - (sqrt(3) - -3*sqrt(12)/sqrt(4)) - -6*(2 + sqrt(108)))**2.
744*sqrt(3) + 3027
Simplify sqrt(1584) + (-3 + sqrt(1584) + (sqrt(1584) - (2 + sqrt(1584) - sqrt(1584))))**2 - (-4 + sqrt(1584) + -4).
-240*sqrt(11) + 6369
Simplify ((-2*sqrt(114)*-1)/((3*sqrt(12))/sqrt(2)))**2 + 5.
121/9
Simplify (sqrt(300)/(sqrt(10) + sqrt(640)))/(-4*sqrt(490)).
-sqrt(3)/252
Simplify (-6*((sqrt(3) + 2)*-4 + (sqrt(18)*3)/sqrt(6)) + -1)**2.
564*sqrt(3) + 2317
Simplify 4*-5*(-3*sqrt(605) + -3)*-5.
-3300*sqrt(5) - 300
Simplify (5 + sqrt(176) + 1 + 0)**2*-3*1.
-636 - 144*sqrt(11)
Simplify (-3 + ((sqrt(200) - (sqrt(200) + 2)) + sqrt(2)*2 + 3 - sqrt(10)/(sqrt(5) - (sqrt(5) + 4*sqrt(5)*-5))))**2.
-39*sqrt(2)/5 + 2321/200
Simplify ((sqrt(2560)*1)/sqrt(8))**2 + (sqrt(5) + 1)*-6 + sqrt(5) + sqrt(405)/sqrt(9).
-2*sqrt(5) + 314
Simplify -5*(sqrt(175) - (sqrt(175)*1 - sqrt(175))**2*6 - 3*2*sqrt(175))*6.
750*sqrt(7)
Simplify 1 + 3*((sqrt(272) + 2)**2 + -3 + sqrt(272) - sqrt(272))*3.
144*sqrt(17) + 2458
Simplify (sqrt(38)/sqrt(2)*-4 + (sqrt(171) - (sqrt(171) + 0)))**2 + 1*sqrt(304) + sqrt(190)/(sqrt(50)/sqrt(5)).
5*sqrt(19) + 304
Simplify -5 + (-2 + 0 + sqrt(637) + 3)**2 + -2.
14*sqrt(13) + 631
Simplify 3*(-3 + 2 + -1*sqrt(56)/(sqrt(8)*1))**2.
6*sqrt(7) + 24
Simplify (-2*(sqrt(132) + sqrt(132) + (3*sqrt(132) - sqrt(132))))/(sqrt(12) + -3*sqrt(12)*-3).
-4*sqrt(11)/5
Simplify 3 + (sqrt(17) + -3*sqrt(17)*-1 + -4 + (sqrt(6171)*2 - sqrt(6171))/sqrt(3))**2.
-120*sqrt(17) + 3844
Simplify (0 + 2 + -4 + -5 + sqrt(252)*-2 + sqrt(252) + -1)**2.
96*sqrt(7) + 316
Simplify ((sqrt(57) - (sqrt(57) + -2*sqrt(456)/sqrt(8)))*-2)/(((sqrt(15) + sqrt(15)*-2 + sqrt(15))*3 - sqrt(15))/sqrt(5)).
4*sqrt(19)
Simplify (6*sqrt(40)*1 + sqrt(200)/(sqrt(45) + sqrt(5)))/(-1*sqrt(512)*-4).
25*sqrt(5)/128
Simplify (sqrt(5) + (sqrt(500)*-1 - sqrt(500) - sqrt(500)) - (sqrt(720)*-1)**2) + (sqrt(20)/((sqrt(28)*3 - sqrt(28))/sqrt(7)))**2.
-2875/4 - 29*sqrt(5)
Simplify 0 + (-1*2*sqrt(6))/((sqrt(243) - sqrt(27))/sqrt(9)) + 1.
-sqrt(2) + 1
Simplify (1*(sqrt(108) - (0 + sqrt(108) + 0)**2) - (-2 + (sqrt(108)*-2)**2 + ((sqrt(108)*-2 + 4)**2 - sqrt(108))))*-2.
-216*sqrt(3) + 1972
Simplify 2 + (1*sqrt(30)*-4*2)/(sqrt(80)/((sqrt(16) + sqrt(64)/sqrt(4))/sqrt(2))).
-16*sqrt(3) + 2
Simplify -1*((6*((sqrt(1872) - (sqrt(1872) + sqrt(1872)*-1) - sqrt(1872)) + sqrt(1872)) + 0)*-1)**2.
-67392
Simplify 1 + -2 + (sqrt(2057)*-1 + sqrt(2057) + 4 - sqrt(2057)) + 4.
-11*sqrt(17) + 7
Simplify 0 + sqrt(7)*-2*5 + -3 + -3*sqrt(56)/(sqrt(8) + (sqrt(56)/(sqrt(7)*-1) - sqrt(8)) - sqrt(8)).
-17*sqrt(7)/2 - 3
Simplify 3*(-2*sqrt(28)*6 + (sqrt(112) + -2 + -3)**2).
-192*sqrt(7) + 411
Simplify (sqrt(768)*-2)/(sqrt(12)/sqrt(2)*1)*-3.
48*sqrt(2)
Simplify (4 + -4*((sqrt(208) + sqrt(208)*-1 - sqrt(208)) + sqrt(208)) + 3)**2*3.
147
Simplify -5*(-5*(sqrt(77)*1 + sqrt(77)) - sqrt(77))/(sqrt(891)*3).
55*sqrt(7)/27
Simplify (4 + sqrt(99)*-4)**2 + ((sqrt(88) + (sqrt(88) - -4*(sqrt(88) + sqrt(88)*1)) + sqrt(88))/sqrt(8))**2.
-96*sqrt(11) + 2931
Simplify sqrt(605) + 5*(1 + sqrt(605)) - ((sqrt(2500) - (sqrt(2500) - -2*sqrt(2500))) + sqrt(2500))/sqrt(5).
5 + 76*sqrt(5)
Simplify (0 + (-4*(sqrt(1573) + -1*sqrt(1573)) - sqrt(1573)))**2 + -5 + -4 + -3.
1561
Simplify ((-2 + (sqrt(19)*2 - sqrt(19)))*-4 + sqrt(57)/(sqrt(243)*-2) + 1)**2.
-73*sqrt(19) + 127495/324
Simplify (6*(sqrt(17) + -4*sqrt(170)/sqrt(10) + sqrt(17) + sqrt(17)))**2 + 5 + -3.
614
Simplify 5*sqrt(52)/(2*sqrt(4)) - sqrt(52)/((1*sqrt(24))/sqrt(6)).
3*sqrt(13)/2
Simplify -3 + sqrt(9)/(sqrt(363)*-2 - sqrt(3))*3*-2.
-3 + 6*sqrt(3)/23
Simplify (sqrt(242) - (sqrt(242) + -1)) + -1 + (sqrt(242) - (sqrt(242) + (sqrt(242) - 2*sqrt(242)*3)))**2.
6050
Simplify ((5*sqrt(630)*-4)/(3*sqrt(10)*-2))**2.
700
Simplify ((-1 + sqrt(5))*1 + -4 - sqrt(10)/(5*sqrt(2)*1))*-6 + 0.
-24*sqrt(5)/5 + 30
Simplify (3 + -6*sqrt(704)*-1*-4 + 5)**2.
-3072*sqrt(11) + 405568
Simplify ((sqrt(768) + 0)*6 - (-4 + sqrt(288)/(sqrt(150) - sqrt(6))))**2.
760*sqrt(3) + 27091
Simplify 5*(3 + (2*(sqrt(156) - (-6*sqrt(156) + sqrt(156)) - sqrt(156)))/sqrt(12)) + -3.
12 + 50*sqrt(13)
Simplify ((sqrt(128) + -2 - sqrt(20)/(sqrt(250) - sqrt(10))) + 0)**2.
-31*sqrt(2) + 993/8
Simplify (-1 + sqrt(76))*-4 + 0 + (sqrt(76)*-2)**2*3 + (sqrt(76) + 1 + 2 - sqrt(76)).
-8*sqrt(19) + 919
Simplify (sqrt(84)/((sqrt(24)*1)/sqrt(8)) + -1)**2.
-4*sqrt(7) + 29
Simplify (((sqrt(102)*2)/sqrt(3) + sqrt(34))*-1)/(((-4*sqrt(14))/sqrt(7) - sqrt(2))*-5).
-3*sqrt(17)/25
Simplify (1 + sqrt(147) + -2 - (sqrt(147) - (3 + (sqrt(147) - (sqrt(147) + 1)) + sqrt(147))**2))*4*2.
224*sqrt(3) + 1200
Simplify (((-4*-4*sqrt(242) + sqrt(242))/sqrt(11))/((sqrt(2662)*1 + sqrt(2662))/sqrt(2)))**2.
289/242
Simplify ((sqrt(1911) + sqrt(1911)*-1 + sqrt(1911))/sqrt(3))**2 + (3 + sqrt(52))*-4.
-8*sqrt(13) + 625
Simplify (-5 + (2 + sqrt(1539) + 0 + 0)*5)**2.
450*sqrt(19) + 38500
Simplify (sqrt(90)/sqrt(5) + sqrt(8)/sqrt(4)*-5)**2 + 5 - ((sqrt(98) + 5*sqrt(98)*2 - sqrt(98)) + sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98)*1 + 0)**2.
-19195
Simplify (sqrt(891) + sqrt(891) + (-4*(0 + sqrt(891) + sqrt(891)) - sqrt(891)) + -1 + sqrt(891) + sqrt(891)*-2)**2.
144*sqrt(11) + 57025
Simplify ((-1 + sqrt(891))*-5)**2 - (2*sqrt(891) + -5) - 4*(5 + sqrt(891)*-1).
-432*sqrt(11) + 22285
Simplify (0 + -2 + (sqrt(847) - (sqrt(847) + 0 - sqrt(847))))**2 + sqrt(49)/((sqrt(7)*1 + sqrt(7))*-5)*2.
-221*sqrt(7)/5 + 851
Simplify ((-2*sqrt(192))**2*5 - (sqrt(147) + 5*(sqrt(147) + 0))) + 0.
-42*sqrt(3) + 3840
Simplify (6*sqrt(12)*3*3)/(sqrt(4) - 2*sqrt(400) - ((sqrt(324) - -2*sqrt(324)) + sqrt(324) + sqrt(324))).
-27*sqrt(3)/32
Simplify (6*(sqrt(24) + sqrt(24) + -3*sqrt(24) + sqrt(24))*-2)/(2*4*sqrt(12)*-4).
0
Simplify ((sqrt(209)*-2*6)/(sqrt(2156)/sqrt(4) + sqrt(11)))**2 + 1.
175/4
Simplify ((sqrt(756) + -2*sqrt(756) - sqrt(756)) + sqrt(756) - (-6*(sqrt(21) - sqrt(21)*-2) - sqrt(21)))/((sqrt(28) - sqrt(336)/(-2*sqrt(12)))/sqrt(4)).
2 | {
"pile_set_name": "DM Mathematics"
} |
w**3 + 9*w + 11. Let a be h(f). Let g = 3 + 30. What is the greatest common divisor of a and g?
33
Let v(j) = -12*j**3 + 5*j**2 + 2*j + 5. Let x be v(-5). Calculate the greatest common divisor of 20 and x.
20
Let r(q) = -3*q + 2. Let y be r(3). Let t be (-15 - y)*(0 + 1). Let f be (162/(-4))/(3/t). Calculate the greatest common divisor of 12 and f.
12
Suppose -8*s - 127 = -135. Let y be 1/(-2 - (-2 - 1)). Calculate the highest common factor of y and s.
1
Let d(a) = a**2 - 1. Let p be d(3). Let o be (514/32)/(1/4) + 6/(-24). Calculate the greatest common divisor of p and o.
8
Let c = 96 - 52. Let b = -122 + 173. Suppose -5*t + b = v, t - c = -3*t - 4*v. What is the highest common divisor of t and 15?
5
Let v be 8/(-108) + (-1140)/(-81). What is the greatest common factor of 1694 and v?
14
Let m = 42 + -7. Suppose -4*f = -2*w + 14, 5*w - m = -0*w - f. What is the highest common divisor of w and 14?
7
Let r be (180/54)/(10/45). Let v be 93/6 - (-1)/2. Let w be 5*(v + -1 + 0). What is the highest common factor of r and w?
15
Let u(q) = q + 16. Let s be u(14). Suppose -25 - 5 = -2*b. What is the greatest common divisor of b and s?
15
Let g = 13 + -11. Suppose 2*m + 3*n - 9 = 0, -g*m = 2*m + 4*n - 24. What is the highest common factor of m and 9?
9
Let p(t) = -10*t - 300. Let w be p(-57). Calculate the greatest common divisor of 510 and w.
30
Let c = 46 + -26. Suppose b + 14 = -6*b. Let v be (7/(-21))/(b/(-1 - -25)). What is the greatest common divisor of v and c?
4
Let s be -58*((-60)/8 + -3). Suppose -3*m + 624 = 3*g, 3*m + s = 3*g - 15. Suppose 287 = 3*a - g. Calculate the greatest common factor of a and 15.
15
Let r be (-36)/(-7)*(10 + -3). Suppose 4*s = -4*n + r, -3*n + 2*s = -2*n + 6. Let l be 7 + (-2 - 0/n). What is the highest common factor of l and 40?
5
Suppose 251 = 4*n - 3*p, -n - 3*p = 3*n - 221. Let r = n + -48. What is the highest common divisor of r and 55?
11
Suppose 10*t = -161 + 931. What is the highest common divisor of t and 77?
77
Suppose -y - 162 = -4*i + 4*y, -4*i = -3*y - 158. Let b be 3*(30/(-9) - -4). Suppose 17 = b*c - 21. What is the highest common factor of c and i?
19
Let h(d) = -d**3 - 9*d**2 + 18*d - 5. Let j be h(-13). Let g = j + -233. What is the greatest common factor of g and 34?
34
Let v be ((-366)/(-427) - 11/21)*90. Let g be 50/4 - (-1)/(-2). Calculate the greatest common factor of v and g.
6
Let l(v) = 5*v - 79. Let k be l(16). What is the highest common divisor of 16 and k?
1
Let u = -301 - -312. Calculate the highest common divisor of 506 and u.
11
Let h be (0 - 47/5)*(-180)/36. Let z = h + 6. Calculate the highest common divisor of 159 and z.
53
Suppose -26*h - 10*h = -864. Calculate the greatest common divisor of h and 3.
3
Let m = -305 - -385. What is the greatest common divisor of 200 and m?
40
Suppose 0 = -r + 2*b + 20, -2*b + 22 = 4*r - 58. What is the highest common factor of r and 500?
20
Let x(k) = 481*k + 27. Let t be x(3). Calculate the highest common factor of 10 and t.
10
Let i(y) = 5*y - 23. Let k be i(3). Let w(q) = -4*q - 20. Let v be w(k). What is the greatest common factor of v and 8?
4
Let m(b) = 8*b**2 + 4. Let q be m(2). Suppose 2*w + 2*z = 18, 0 = 3*w + w + 3*z - 39. What is the greatest common divisor of w and q?
12
Let x(u) = u**3 + 15*u**2 - 187*u - 1. Let b be x(-23). Calculate the greatest common divisor of 8 and b.
4
Suppose -t + 3*b = -59, -t + 4*b = 2*b - 56. Let g = -47 + t. What is the highest common divisor of 6 and g?
3
Let y = 3073 + -2655. What is the greatest common divisor of y and 55?
11
Let g(v) = -v**2 + 35*v - 4*v - 21*v + 6. Let x be g(6). What is the highest common factor of x and 6?
6
Let b be ((-4)/(-6))/(2/33). Let y = b + -7. Suppose -a + 91 = -x, -y*a - 2*x + 359 = -7*x. What is the greatest common divisor of 12 and a?
12
Let v be (106/(-2))/((-7)/((-14)/(-2))). Calculate the greatest common factor of v and 212.
53
Let c(q) = 4*q - 103. Let l be c(27). Suppose 3*y - 31 = 134. Calculate the highest common factor of l and y.
5
Let l(q) = -q**2 + 5*q. Let y be l(3). Suppose 0 = -6*f + 6 + y. What is the greatest common divisor of 8 and f?
2
Suppose -7*d = -20 - 1. Suppose -d*f + 9 = 6*f. What is the highest common factor of 5 and f?
1
Let o = 61 - -56. Suppose -o = -g - 2*g. Let p = -28 + g. What is the greatest common factor of 77 and p?
11
Let n(w) = w**3 - 17 - 2*w + 4 + 9*w**2 - 4. Let i be n(-8). Calculate the greatest common factor of i and 7.
7
Let k = 651 - 645. Let b = 10 + -5. Suppose 3*v - 2*v - b = -u, -4*v = 5*u - 21. What is the greatest common factor of k and v?
2
Suppose 0 = -5*h - 5*f + 15, 0 = h + 3*f + 1 - 0. Suppose n = -4*s + h*s + 91, -2*s = 8. What is the highest common divisor of 58 and n?
29
Let i be -31*(-2 - 0 - -1). Calculate the greatest common factor of 31 and i.
31
Let q(r) = -5*r + 217. Let g be q(43). Let m = 28 - 6. What is the greatest common divisor of m and g?
2
Let y = -30 + 49. Let m(u) = u**3 + 3*u**2 + 2*u + 2. Let o be m(-3). Let i be o/14 - 1068/(-14). What is the greatest common divisor of y and i?
19
Suppose -724*w + 731*w = 56. Calculate the highest common factor of w and 1192.
8
Let t = -25 - -39. Suppose -3*z + 1 = -t. What is the highest common factor of 15 and z?
5
Let q(c) be the first derivative of c**4/4 + 4*c**3 - 15*c**2/2 - 4*c - 13. Let p be q(-13). What is the greatest common factor of p and 132?
22
Suppose 8*r - 4*r - 3*m - 1094 = 0, -1383 = -5*r - 4*m. What is the highest common factor of r and 50?
25
Let v = -94 + 124. Let n = -335 + 183. Let f = -107 - n. Calculate the greatest common factor of v and f.
15
Let w be 1/(2/9 + 404/(-1980)). What is the highest common factor of w and 33?
11
Suppose 2*v = 2*j + 46, 2*v = -3*v - 4*j + 79. Let x = 448 - 228. Suppose -3*b + 627 = 3*w, 3*b - w - x = 407. Calculate the greatest common divisor of v and b.
19
Let s be -45*((-84)/30 - -2). What is the greatest common factor of 84 and s?
12
Let t(h) = 11*h**2 - h + 8. Let p be t(-4). Calculate the highest common factor of p and 282.
94
Suppose 0 = -2*k, -8*j - 335 = -3*j + 4*k. Let q = 78 + j. What is the highest common factor of 1 and q?
1
Let b be (-26)/(-91)*(2 + 5). Let h(y) = y**3 + 2*y**2 - 4*y. Let g be h(b). What is the highest common factor of g and 88?
8
Suppose -s = w - 0*s - 5, 0 = -4*w - 3*s + 18. Suppose -5*k + 2*i = -452, -w*k - i = -101 - 168. Calculate the highest common divisor of k and 10.
10
Let n = 28 + -9. Let l = -16 + n. Suppose l*q - 246 = 39. Calculate the highest common factor of 19 and q.
19
Let h = 31 - 13. Let g be 4/(-14) + (-3177)/(-21). Suppose g = 3*j - 4*o, 4*o = j - 78 + 17. What is the highest common divisor of j and h?
9
Suppose -u + r + 21 = 0, 2*u - 54 = -r + 6*r. Calculate the greatest common factor of 459 and u.
17
Let p(h) = 16*h**2 + 22*h + 6. Let z be p(4). Suppose -2*x + 91 - 21 = 0. Calculate the greatest common factor of z and x.
35
Suppose 4*k - 33 = -l, -14 + 6 = -2*k. Let p be -1*((-2)/6 - 200/3). Suppose -p = -2*n - l. What is the greatest common divisor of n and 5?
5
Let k be (50/(-35))/(4/(-14)). Suppose -2*x + 2 = 0, 3*x - 16 - 37 = -k*t. Suppose 43 + 7 = 5*j. What is the greatest common divisor of j and t?
10
Let v be 12/66 + (-634)/(-22). Suppose -f = 5, 6*f - f - v = -2*x. Suppose -3*i - 51 = -5*g, 3*i + i = 4*g - 44. What is the greatest common divisor of x and g?
9
Let h be 3/2*(-120)/(-36). Let z be (-2)/(-3) - (-252)/27. Suppose n = -n + z. What is the greatest common divisor of n and h?
5
Suppose -o = 2*o - 105. Suppose 0 = 3*i - i - 6. Suppose 0 = 2*b + i*b - o. Calculate the greatest common divisor of 63 and b.
7
Let y be 3 - (5/(-15))/((-3)/(-153)). Let r = 64 + y. Let k(o) = 6*o - 8. Let u be k(6). What is the highest common divisor of u and r?
28
Suppose -4*d - 11 = o, o - 5*d - 6 = 28. Calculate the highest common divisor of 333 and o.
9
Suppose 5*u + 5*x - 95 = 0, -u - 5*x + 31 = -4. What is the highest common divisor of 1215 and u?
15
Suppose 44 = -4*z + 4*x, 0*x = 4*z - x + 56. Let s be (-339)/(-15) - z/(-25). Let m = -72 - -127. Calculate the greatest common factor of s and m.
11
Let v = 237 - 161. Suppose -4*i + 2*y + 342 = -v, 108 = i - 4*y. Let n = 20579 + -20566. Calculate the highest common divisor of i and n.
13
Let t be (-2 + 5)/( | {
"pile_set_name": "DM Mathematics"
} |
- 25
Let d(w) = -8*w. Let g(p) = -52*p**2. Calculate d(g(b)).
416*b**2
Let z(b) = -8*b**2 - 6*b**2 + 18*b**2. Let x(s) = 3*s. Determine x(z(f)).
12*f**2
Let d(m) = 104*m**2 - m. Let j(y) = y - 22. Give d(j(h)).
104*h**2 - 4577*h + 50358
Let a(u) = -9*u - 6. Let j(x) = -x - 1. Let z(y) = -a(y) + 6*j(y). Let q(t) = -10*t - 15. Let m(b) = b + 1. Let f(d) = -15*m(d) - q(d). Determine f(z(l)).
-15*l
Let j(m) = 25 + 37*m - 25. Let v(s) = s**2. Calculate v(j(h)).
1369*h**2
Let c(i) = i. Let q be c(2). Let a(m) = -q*m + m - m. Let j(z) = -2*z. Determine a(j(v)).
4*v
Let g(f) = -f**2 + 2. Let a(l) = -1. Let d(b) = -2*a(b) - g(b). Let m(w) = 17*w. Give d(m(x)).
289*x**2
Let n(q) = -2*q. Let h(z) be the first derivative of z**2 + 14. Give n(h(m)).
-4*m
Let c(p) = -p. Let h(o) = -386*o**2. What is h(c(n))?
-386*n**2
Let y(l) = -7*l. Let c(t) = 334*t. Determine y(c(u)).
-2338*u
Let q(f) = -15*f**2. Let u(i) = 2 + 885*i - 2 - 886*i. Calculate u(q(x)).
15*x**2
Let v(l) = 18*l**2. Let g(b) = -200*b**2 - 2*b. Determine g(v(p)).
-64800*p**4 - 36*p**2
Let t(s) = -s. Let n = -44 + 77. Let f(q) = q - 2. Let u(i) be the first derivative of -15*i**2/2 + 33*i + 13. Let o(l) = n*f(l) + 2*u(l). Calculate t(o(a)).
-3*a
Let z(l) be the second derivative of l**3/6 + 3*l + 1. Let k(f) = 138*f. What is z(k(o))?
138*o
Let t(a) = 5*a + 2. Let w(d) = -32*d - 11 + 11*d + 2. Let z(y) = -9*t(y) - 2*w(y). Let s(m) = m. Calculate z(s(o)).
-3*o
Let b(v) = 3899*v**2 - 2. Let c(o) = -o. Calculate c(b(d)).
-3899*d**2 + 2
Let v(h) = -3*h**2. Let i(r) = 3*r + 2. Let m(t) = 5 - 2*t + 3*t + 2. Let l be m(-9). Let a(p) = -4*p - 3. Let k(x) = l*a(x) - 3*i(x). What is k(v(o))?
3*o**2
Let u(g) = 2*g + 3*g - 6*g. Let j(c) = -c**2 + c + 1. Let l(m) = m**2 + 3*m + 3. Let f(h) = 3*j(h) - l(h). What is f(u(i))?
-4*i**2
Let x(t) = 0 + t**2 + 0. Let i(c) = c + 7. Let w(u) = -u - 6. Let r(o) = -6*i(o) - 7*w(o). Determine r(x(a)).
a**2
Let a(k) = 2*k**2. Let o(t) = 928*t**2. Give o(a(f)).
3712*f**4
Let n(a) = 2*a**2. Let p(x) = -11*x**2 + 30. What is n(p(h))?
242*h**4 - 1320*h**2 + 1800
Let o(k) = k + 3. Let x(m) be the third derivative of m**3/3 + 3*m**2. Let g(j) = -2*o(j) + 3*x(j). Let b(d) = -d. Calculate g(b(a)).
2*a
Let j(s) = -2*s - 237. Let t(m) = m. What is j(t(x))?
-2*x - 237
Let k(n) = -2*n. Let b be 35/25 - (-6)/10. Let u(y) = 2*y**2 - b*y + 2*y. Give u(k(a)).
8*a**2
Let o = -5 - -7. Let d(i) = -i**3 - 8*i**2 + 8*i - 6. Let b be d(-9). Let p(k) = 2*k**o + b*k**2 - 4*k**2. Let n(u) = -u. Calculate n(p(l)).
-l**2
Let y(x) = 321 - 6*x**2 - 321. Let b(m) = -2*m. Determine b(y(d)).
12*d**2
Let a(t) = t. Let w(q) = -2*q**2 + 300. Determine a(w(n)).
-2*n**2 + 300
Let n be (6/8)/(3/12). Let a(z) = -z - 2*z + 5*z - n*z. Let t(v) = -6*v**2. Determine t(a(m)).
-6*m**2
Let i(w) = -9*w - 11. Let v(g) = 5*g + 6. Let m(p) = 6*i(p) + 11*v(p). Let a(d) = -8*d**2 + 7. Let l(y) = -7*y**2 + 6. Let n(b) = 6*a(b) - 7*l(b). Give n(m(t)).
t**2
Suppose 119 = 3*q + 4*m, 4*q + 0*q - 4*m = 140. Let o(d) = -2*d**2 - 37*d + q*d. Let i(p) = -3*p + 2*p**2 + 3*p. Give o(i(l)).
-8*l**4
Let g(q) = -6*q**2. Let c(m) = -25*m + 1. Determine c(g(z)).
150*z**2 + 1
Let l(n) = 6*n**2. Let d(t) = -59*t**2. What is d(l(h))?
-2124*h**4
Let l(r) be the second derivative of r**3/2 - r. Suppose 4*x + 0*x - 16 = -4*m, 4*m - 6 = x. Let t(n) = -3*n + 3*n + 0*n + 2*n**m. Calculate l(t(k)).
6*k**2
Let w(z) = 17*z - 6. Let h(y) = 22*y**2. Calculate h(w(k)).
6358*k**2 - 4488*k + 792
Suppose 3*h - 2*r + 29 = 6, 5*h = -5*r - 5. Let v = h - -7. Let f(k) = 2*k**2 - 3*k**v - 4*k**2 + 4*k**2. Let p(a) = -a**2. Determine p(f(q)).
-q**4
Let n(o) = -7*o**2. Let z(r) = 3*r**2. Let w(u) = 2*n(u) + 5*z(u). Let s(l) = -2 + 2 + 2*l. What is s(w(p))?
2*p**2
Let k(z) = -28*z**2 - 24*z**2 + 57*z**2. Let p(r) = 10*r. Calculate k(p(j)).
500*j**2
Let z(s) = -3*s**2. Let c(g) be the third derivative of g**4/24 + g**3/6 - 2*g**2. Let j(f) = 3*f + 4. Let u(w) = 4*c(w) - j(w). Determine z(u(m)).
-3*m**2
Let f(z) = -5*z - 28. Let u(x) = 3*x**2. What is u(f(g))?
75*g**2 + 840*g + 2352
Let m(h) = -4*h. Let t(w) = -84*w**2 + 98*w - 49. Let d(f) = -7*f**2 + 8*f - 4. Let x(p) = -49*d(p) + 4*t(p). What is m(x(v))?
-28*v**2
Let j(i) be the first derivative of -41*i**2/2 - 22. Let a(l) = l**2. What is j(a(k))?
-41*k**2
Let o(q) = -4*q**2 + 10*q**2 - 7*q**2. Let y(w) = -2*w**2 + 0*w + 0*w. Calculate o(y(j)).
-4*j**4
Let k(i) = 6*i. Let x(z) = 2293*z**2. Give k(x(g)).
13758*g**2
Let t(u) = 0*u - 3*u + 2*u. Suppose -33 - 37 = -5*g. Let n(i) = 22*i - g*i - 13*i. Calculate t(n(q)).
5*q
Let r be 2/9 + 48/27. Let p(y) = 2 - y - r. Let i(f) = -f**2 + 7*f + 7. Let d(m) = -m**2 + 6*m + 6. Let s(x) = 7*d(x) - 6*i(x). Give s(p(t)).
-t**2
Let z(x) = -2*x + 3*x - 5*x + x. Let p(y) = 2*y**2. Give p(z(j)).
18*j**2
Suppose -4*v + 55 = v. Let q(g) = -v + 8 + 3 - g**2. Let u(s) = -4*s. What is u(q(l))?
4*l**2
Let r(s) = 2*s**2. Let h(k) = 4*k**2. Determine r(h(q)).
32*q**4
Let x(r) = -6*r**2 + 49*r. Let i(z) = -z**2. Give x(i(b)).
-6*b**4 - 49*b**2
Let y(j) = j. Let i(g) = 2*g**2 - 370*g + 370*g. Give y(i(q)).
2*q**2
Let q(w) = -2*w**2. Let m(i) = -4*i**2. What is m(q(u))?
-16*u**4
Let k(a) be the first derivative of -a**2/2 + 42. Let v(g) = 0*g**2 - 5*g**2 + 4*g**2. Give k(v(n)).
n**2
Let g(h) = -45*h. Let y(i) = 2*i. Let z(a) = -11*a. Let k(b) = -10*y(b) - 2*z(b). Determine g(k(n)).
-90*n
Let k(b) = 47*b**2. Let w(d) = 25*d**2. What is k(w(j))?
29375*j**4
Let b(v) = -v**2 + 3*v**2 - 4*v**2. Let n(h) = -6*h. What is b(n(j))?
-72*j**2
Let y(r) = 0 - 2 - 2*r - 3. Let i(n) = -1. Let m(d) = -5*i(d) + y(d). Let l(h) = 5*h. Calculate l(m(w)).
-10*w
Let f(d) = -153*d**2. Let g(j) = -7*j**2. Determine f(g(z)).
-7497*z**4
Let y(i) = -5*i. Let n(b) = -1. Suppose 2*a = 0, -a - 8 = 2*g - 2. Let x(r) = -r + 3. Let v(p) = g*n(p) - x(p). Calculate y(v(k)).
-5*k
Let l(h) be the third derivative of -h**4/12 - 33*h**2. Let d(s) = 19*s. Calculate d(l(x)).
-38*x
Let c(y) be the second derivative of y**4/2 - 46*y. Let l(x) = 6*x**2. Give l(c(z)).
216*z**4
Let u(r) = 1884 + 4*r - 1884. Let j(g) = 6*g. Determine u(j(y)).
24*y
Let k(i) = -519*i + 1. Let l(s) = s. Determine k(l(n)).
-519*n + 1
Let z(q) = -2*q. Let n(u) be the first derivative of u**5/24 - 2*u**3 - 6. Let j(b) be the third derivative of n(b). Determine z(j(k)).
-10*k
Let z(k) = -12*k**2 - 1. Let s(a) = -8*a. What is z(s(v))?
-768*v**2 - 1
Let u(l) = l**2 + 4*l + 2. Let s(k) = 2*k + 1. Let g(r) = -2*s(r) + u(r). Let h(f) = -4*f**2. Calculate h(g(z)).
-4*z**4
Let c(s) = s**2. Let f(j) = 795*j**2. Give f(c(d)).
795*d**4
Let m(z) = -4*z**2. Let o(u) = u**3 - u**2 - 5*u + 2. Let y be o(3). Let t(i) = -2*i + 5*i - y*i + i. Calculate t(m(v)).
4*v**2
Let k(m) = -260*m**2. Let w(o) = 2*o. Determine k(w(i)).
-1040*i**2
Let h(f) = 7*f - 23 + 7*f + 23. Let g(y) = 3*y. Let w(a) = a. Let q(r) = -2*g(r) + 5*w(r). What is h(q(t))?
-14*t
Let d(j) = -6*j**2. Let t(l) = 4*l + 3. Determine t(d(w)).
-24*w**2 + 3
Let w(v) = -5*v**2. Let s(n) = 11*n - 17. Let c = 17 + -23. Let g(a) = 4*a - 6. Let j(z) = c*s(z) + 17*g(z). Determine w(j(o)).
-20*o**2
Let b(n) = -8*n**2 + 10*n - 10. Let u(p) = p**2 - p + 1. Let i(w) = -2*b(w) - 20*u(w). Let l(s) = -3*s. Let q(j) = -j. Let d(h) = -l(h) + q(h). Give i(d(v)).
-16*v**2
Let c(i) = -2*i**2. Let l(t) = -486*t**2. What is c(l(p))?
-472392*p**4
Let v(m) = 21*m. Let j(l) = -680*l**2. Give v(j(p)).
-14280*p**2
Let u(d) = -2*d - 516. Let m(q) = -q**2. What is u(m(w))?
2*w**2 - 516
Let g(u) = -1. Suppose 0 = -4*w - 6 - 6. Let f(k) = -k + 3. Let n(q) = w*g(q) - f(q). Let s(i) = -2*i. Determine n(s(y)).
-2*y
Let x(r) = 2*r. Let o(c) = -4*c - 3. Let h(s) = s**2 + 3*s + 2. Let w(g) = 4*h(g) + 3*o(g). Let j(k) be the first derivative of w(k). Calculate x(j(p)).
16*p
Let u = -14 + 30. Suppose 2*j + 6 = u. Let k(v) = -6*v + 0*v + j*v. Let n(m) = 4*m. Determine n(k(q)).
-4*q
Let q(w) = -w. Let z(o) = 186*o. Calculate z(q(d)).
-186*d
Let l(y) = y**2. Let q(d) be the first derivative of 35*d**2/2 + 5. What is q(l(b))?
35*b**2
Let j(n) = -4*n**2. Let u be (1/12)/(10 - 9). Let g(s) be the third derivative of u*s**4 + 0*s**3 + 2*s**2 + 0 + 0*s. Determine g(j(t)).
-8*t**2
Let r(k) = 2*k**2. Let n(u) = u**2. Let y(w) = -6*n(w) + 2*r(w). Let c(h) be t | {
"pile_set_name": "DM Mathematics"
} |
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What is next in -87710, -87375, -87040, -86705?
-86370
What is the next term in -232, 568, 1932, 3884, 6448, 9648, 13508?
18052
What is the next term in 971, 7954, 26891, 63752, 124507, 215126?
341579
What comes next: -9294, -18172, -27060, -35958?
-44866
What comes next: 383640, 383623, 383618, 383631, 383668?
383735
What comes next: -669, -1964, -3965, -6684, -10133, -14324, -19269, -24980?
-31469
What is the next term in -28325216, -28325213, -28325208, -28325201?
-28325192
What comes next: -180194, -360575, -540956?
-721337
What is next in 1837, 4211, 6633, 9127, 11717, 14427, 17281?
20303
What comes next: -11479, -23070, -34651, -46216, -57759, -69274?
-80755
What comes next: 2036, 4200, 6606, 9380, 12648, 16536, 21170, 26676?
33180
What is the next term in 290186, 1160854, 2611966, 4643522, 7255522, 10447966?
14220854
What comes next: -16208, -15857, -15506, -15155?
-14804
What is next in 12072, 48511, 109644, 195801, 307312, 444507?
607716
What is the next term in 313212, 313231, 313250?
313269
What is next in -79731790, -79731788, -79731786?
-79731784
What is the next term in 8683, 38230, 87495, 156478, 245179?
353598
What comes next: 10062576, 10062571, 10062564, 10062555, 10062544, 10062531, 10062516?
10062499
What is the next term in 36248, 36735, 38060, 40643, 44904, 51263, 60140?
71955
What is next in 79670184, 79670169, 79670140, 79670091, 79670016, 79669909, 79669764, 79669575?
79669336
What comes next: -6375393, -12750785, -19126177, -25501569, -31876961, -38252353?
-44627745
What is next in -55995, -113219, -170443, -227667, -284891?
-342115
What is next in -39063, -75895, -112729, -149565, -186403?
-223243
What is the next term in -7, -235, -927, -2335, -4711, -8307?
-13375
What is next in -2692120, -5384186, -8076252?
-10768318
What is the next term in -1981091, -1981068, -1981045, -1981022?
-1980999
What is next in -51586, -51663, -51790, -51985, -52266, -52651, -53158?
-53805
What comes next: 247344816, 494689630, 742034444, 989379258, 1236724072, 1484068886?
1731413700
What is the next term in 40914, 40868, 40778, 40632, 40418, 40124, 39738?
39248
What is next in -48270, -96584, -144912, -193254, -241610, -289980, -338364?
-386762
What comes next: -32785, -65931, -99085, -132247, -165417, -198595, -231781?
-264975
What is next in -10040, -9177, -8242, -7199, -6012?
-4645
What is the next term in 3513, 28494, 95945, 227100, 443193, 765458, 1215129, 1813440?
2581625
What comes next: -4380, -9116, -13846, -18570, -23288?
-28000
What is next in 5013, 3636, -167, -7608, -19899, -38252?
-63879
What is next in -957, -2148, -4003, -6858, -11049?
-16912
What comes next: 5777, 11646, 17605, 23654, 29793, 36022, 42341?
48750
What comes next: 258265, 513221, 768177?
1023133
What is the next term in 719092, 719078, 719064, 719050?
719036
What is the next term in 166153391, 166153389, 166153387, 166153385, 166153383, 166153381?
166153379
What is the next term in -52950279, -52950276, -52950273, -52950270, -52950267, -52950264?
-52950261
What comes next: -10397, -20688, -30985, -41288, -51597, -61912, -72233?
-82560
What comes next: -1641, -3226, -4757, -6234, -7657?
-9026
What is the next term in 3181, 6093, 9001, 11905, 14805?
17701
What is next in -2761199, -22089560, -74552251, -176716436, -345149279, -596417944, -947089595?
-1413731396
What is next in -14191240, -28382479, -42573718, -56764957, -70956196, -85147435?
-99338674
What is next in 8479, 8656, 8971, 9436, 10063?
10864
What is next in -3632, -6467, -9300, -12131, -14960, -17787, -20612?
-2 | {
"pile_set_name": "DM Mathematics"
} |
et f be ((-4)/(8/3))/(9/(-210)). Suppose 4160 = -22*w + f*w. List the prime factors of w.
2, 5
What are the prime factors of (3 - (1 + 3))/((-51)/142035)?
5, 557
Suppose -5*c = 2*b + 3059, -4*b + 63 = c + 664. Let g = 1023 + c. List the prime factors of g.
2, 5, 41
Let l = 95 + -95. Suppose l = 105*u - 108*u + 2715. Suppose 3*m - 618 = -2*b, m = 3*b - 0*m - u. What are the prime factors of b?
3, 101
Suppose 2*g + 9*i - 12*i = 84915, 3*i - 212235 = -5*g. What are the prime factors of g?
2, 3, 5, 283
List the prime factors of ((-29)/65 - (-21)/35) + (-2959598)/(-221).
2, 3, 31
Let u(f) = f + 6. Let b be u(19). Suppose 0 = 26*s - b*s + 6. What are the prime factors of s*(-4 - (-228)/(-9))?
2, 11
Let m(u) = -8*u - 11. Let w be m(-4). Let f(s) = s + 7*s + 0*s - w + 14. List the prime factors of f(4).
5
Let l be 6/(4*1/6). Suppose l*j + 1605 = 14*j. Let g = -139 + j. What are the prime factors of g?
2, 7, 13
Let a = 20 - 4. Suppose -a*r = -23*r + 21. Suppose -7*k + 284 = -r*k. List the prime factors of k.
71
Let h be (-190)/6 + (-1)/3. Suppose 0 = -14*g - 119 + 1169. Let b = g + h. List the prime factors of b.
43
Let g(x) = x**2 + 2*x - 6. Let t be g(-4). Suppose -2*m + 1357 = 5*q, -798 = -2*m - t*q + 568. Suppose 0*p = -7*p + m. What are the prime factors of p?
2, 7
Suppose x - 5*i + 30 = 94, 3*x = -3*i + 102. Let z = -37 + x. List the prime factors of (516/24)/(1/z).
43
Suppose 190*n = 1709847 + 349563. What are the prime factors of n?
3, 3613
List the prime factors of (-62)/(-2)*(-1648)/(12 - 28).
31, 103
Let q(f) = 12129*f**2 - 12*f + 5. List the prime factors of q(1).
2, 11, 19, 29
Suppose 5*f = -30*f + 385. Suppose -f*v + 45 + 1066 = 0. List the prime factors of v.
101
Let v(y) = y**2 + y + 29. Let x be v(0). Suppose d - 2*h + 17 = 0, 5*d + 2*h + x = -20. Let m = d - -121. What are the prime factors of m?
2, 5, 11
Suppose -18*i - 109 - 107 = 0. List the prime factors of (-3)/12 - (-3 + 10995/i).
919
What are the prime factors of (-21529 + (0 - (2 - 4)))*(7 + -8)?
11, 19, 103
Suppose 7*m - 8599 = -2*v, 3*v - 2*m = 5*v - 8624. List the prime factors of v.
3, 1439
Suppose 4*q - 33195 = -2*f - 2807, -2*f + q = -30393. What are the prime factors of f?
2, 29, 131
Suppose 16 = 2*g - 4*o, -4*o - 17 = -5. Let b be 122/g*(-4 + 5). Let x = 70 - b. List the prime factors of x.
3
Let r = -181 - 102. Let n = r - -521. List the prime factors of n.
2, 7, 17
Suppose -k - 662*r = -660*r - 20514, 0 = 3*k + r - 61582. What are the prime factors of k?
2, 5, 2053
Let m(d) = -86*d - 91. Suppose 2*t - 2*v - 2*v = -32, 4*v = -2*t + 8. What are the prime factors of m(t)?
5, 17
Let c(t) = 4*t + 4. Let h be c(0). Suppose h*j = -2*j + 6. What are the prime factors of (-8 + 5 + j/(-2))*-26?
7, 13
Let g = 31360 + 17344. What are the prime factors of g?
2, 761
Suppose 3*p = -a - 3, 6*a = a + 5*p + 45. What are the prime factors of (-8)/a + (-7008)/(-18)?
2, 97
Let y(j) = j**3 + 4*j**2 + 5*j + 5. Let a be y(-2). Let d be (2 - a*67)*(-14)/7. Let l = d + -252. What are the prime factors of l?
2, 73
List the prime factors of (-2)/(6/15370*(-6 + (-112)/(-21))).
5, 29, 53
Let h(p) = 2009*p - 167. What are the prime factors of h(4)?
3, 43, 61
Let d = 164689 - 73437. List the prime factors of d.
2, 7, 3259
Suppose 3*o + 1497 - 28782 = 0. What are the prime factors of o?
5, 17, 107
Suppose -87*p = -86*p - 637. Suppose -6699 = -7*x - p. List the prime factors of x.
2, 433
Let u be (4/10)/(6/90). Let t(s) = -10*s**3 + s**2 + s - 2. Let m be t(-2). What are the prime factors of (90/24)/(u/m)?
2, 5
Suppose -2*u - 5*x + 276 = -1964, 0 = u + x - 1114. List the prime factors of u.
2, 3, 5, 37
Let h(y) = 4*y**3 - 17*y**2 - 21*y - 111. What are the prime factors of h(9)?
3, 7, 59
Suppose 0 = n - 3*g + 6, 0 = -5*n + 3*g + 6. Suppose 4*v - 5*q - 877 = 16, n = -3*q. List the prime factors of v.
2, 3, 37
Let g(a) = -5*a**3 - 22*a**2 - 73*a - 1070. What are the prime factors of g(-22)?
2, 3, 599
Let f(c) = 381*c**2 - 583*c - 3476. List the prime factors of f(-6).
2, 6869
Let k be ((-175)/(-15))/(-5)*(-3)/1. Suppose 2*d - 2*n = 499 + k, 5*d - n - 1285 = 0. Let a = d + -150. List the prime factors of a.
2, 3
Suppose 2*y - 7*y = -1210. Suppose -1692 = -4*x + 4*f, 0 = -x + 3*f - 112 + 545. Let s = x - y. List the prime factors of s.
2, 11
Let g(m) = 6*m**3 + 21*m**2 - 9*m + 47. Let l(v) = 7*v**3 + 21*v**2 - 9*v + 49. Let h(w) = 6*g(w) - 5*l(w). List the prime factors of h(-21).
2, 113
Let c(h) = -82*h + 9621. List the prime factors of c(-52).
5, 2777
Let x = 557 + -597. Let n = x - -382. List the prime factors of n.
2, 3, 19
Let d = -13179 - -21021. What are the prime factors of d?
2, 3, 1307
Let z = 31891 - 17565. List the prime factors of z.
2, 13, 19, 29
What are the prime factors of -25*(-6)/(-30) - -2145?
2, 5, 107
List the prime factors of (-23)/(276/(-955584)) - (-3 - -11).
2, 37, 269
Let i(n) = n**3 + n**2 - 3*n - 5. Let g be i(-4). Suppose 6*w - 5*d + 76 = 7*w, w + 4*d = 76. Let p = w + g. What are the prime factors of p?
5, 7
List the prime factors of (-29114 + -148)*((-10)/12)/5.
4877
Let n = 461 + -639. Let v = n - -1284. List the prime factors of v.
2, 7, 79
Suppose 0 = 3*n + n + 4*q, 2*n - 3*q - 10 = 0. Suppose n*w - 559 = 3*b, 0 = 2*w - 4*b - 501 - 61. List the prime factors of w.
5, 11
Let h = -65 - -91. Suppose m = h + 39. Suppose -4*d = -m - 47. What are the prime factors of d?
2, 7
Suppose 25*k - 60 + 10 = 0. Suppose 10*p - 458 = -k*q + 14*p, 3*p + 6 = 0. List the prime factors of q.
3, 5
List the prime factors of 7 + 63/(-28)*2*2 + 12849.
29, 443
Let v = -55174 - -90597. List the prime factors of v.
35423
Let i = -125 - -138. Let k(t) = 47*t + 12. What are the prime factors of k(i)?
7, 89
Let y = 231 - 237. What are the prime factors of 2830/(-15)*(33/y - -4)?
283
Suppose 37*g - 304424 + 30312 = 124822. What are the prime factors of g?
2, 3, 599
Let m(o) = -25740*o**3 - 2*o**2 + 14*o + 15. List the prime factors of m(-1).
7, 3677
Let l(j) = 2*j**3 - 30*j**2 - 11*j + 9. What are the prime factors of l(21)?
2, 3, 5, 13
Let w(u) = 3461*u**2 + 16*u + 43. What are the prime factors of w(-3)?
2, 17, 229
Let a = 4870 + -402. Suppose 4*n - 5*b - 6169 + 1699 = 0, 4*n - a = 4*b. List the prime factors of n.
5, 223
Suppose 3*m - 15 = -0*m. Let j(i) = 27*i**2 - 8*i - 12. Let g be j(m). Let n = g + -355. What are the prime factors of n?
2, 67
Let v = 42919 + -28934. List the prime factors of v.
5, 2797
Let b be 40/6 + 9/27. Let t(q) = q**3 - 2*q**2 - 4*q + 35. List the prime factors of t(b).
2, 3, 7
Let c(w) = -3*w - 11. Let q be c(19). Let i = 109 - 36. Let v = i - q. What are the prime factors of v?
3, 47
Let z(k) = -104*k + 44. Let l be z(-3). Let d = -268 + l. List the prime factors of d.
2, 11
Let f(x) = 2*x**2 + 4*x - 18. Let s be f(-7). Let l = s + -118. Let p = -54 - l. List the prime factors of p.
2, 3
Let d(m) = 8*m - 187. Let h be d(24). Suppose -2081 = -h*y + 254. What are the prime factors of y?
467
Suppose -51*z = -48*z - 3, 5*n = 4*z + 3101. What are the prime factors of n?
3, 23
Let n be (-2 - -3 - -1)*8. Suppose -3*p + n = -8. Suppose p*y - 5*y + 632 = 5*f, f + 5*y = 132. List the prime factors of f.
127
Suppose -27*u + 22*u - 25 = 0. Let i be ((-6)/u)/(3/(-10)). List the prime factors of 559/195 + i/(-30).
3
Let f(b) = -b**2 - 156*b + 55. List the prime factors of f(-74).
3, 13, 157
Suppose -3990*p = -3978*p - 64056. What are the prime factors of p?
2, 17, 157
Let a(d) = -d**3 - 17*d**2 - 18*d - 18. Let b be (-5)/(20/12) - 13. Let t be a(b). List the prime factors of 2/4 + 1617/t.
2, 29
What are the prime factors of (486/10)/((-194)/(-64990))?
3, 67
Let h = -717 + 380. Let j = 349 + h. List the prime factors of j.
2, 3
What are the prime factors of 16*(-8)/((-448)/41146)?
2, 2939
Suppose 2*i = -2*i. Let c be (-2 - (-362)/4) + (-18)/36. Suppose -k - c = -g - 2*k, i = -4*g + 4*k + 360. What are the prime factors of g?
89
Suppose -63*i = -81*i + 797778. What are the prime factors of i?
23, 41, 47
Let z = -11677 - -30861. List the prime factors of z.
2, 11, 109
Let p = 410 - 174. Suppose -p = -12*q + 1252. Suppose 0 = -o - 3*v + q, 2*o = 5*v + 114 + 156. List the prime factors of o.
2, 5, 13
Suppose 2*c - w - 24903 = 0, c - 3*w = -1885 + 14324. What are the prime factors of c | {
"pile_set_name": "DM Mathematics"
} |
/2.
2
Calculate the lowest common multiple of 40 and 50.
200
What is the common denominator of -97/330 and 139/12?
660
Calculate the lowest common multiple of 354 and 16.
2832
What is the smallest common multiple of 1240 and 120?
3720
Calculate the common denominator of -67/4 and 113/28.
28
Find the common denominator of -77/2718 and -83/4.
5436
Calculate the lowest common multiple of 250 and 25.
250
Calculate the lowest common multiple of 246 and 600.
24600
Calculate the least common multiple of 372 and 248.
744
What is the smallest common multiple of 36 and 3438?
6876
Find the common denominator of -38/737 and 16/737.
737
What is the common denominator of -9/4 and -2/1343?
5372
Calculate the least common multiple of 8 and 11.
88
What is the common denominator of -47/11 and 73/735?
8085
What is the smallest common multiple of 75 and 720?
3600
Calculate the common denominator of -3/3941 and 17/5.
19705
What is the least common multiple of 6 and 1230?
1230
Calculate the lowest common multiple of 583 and 689.
7579
What is the least common multiple of 832 and 2?
832
Calculate the lowest common multiple of 12 and 240.
240
Calculate the least common multiple of 18 and 1252.
11268
What is the lowest common multiple of 354 and 118?
354
Calculate the smallest common multiple of 132 and 7.
924
What is the least common multiple of 468 and 1053?
4212
Calculate the common denominator of 125/24 and 47/66.
264
Calculate the smallest common multiple of 25 and 225.
225
What is the smallest common multiple of 18 and 135?
270
Calculate the least common multiple of 6 and 49.
294
Calculate the common denominator of 101/216 and -87/56.
1512
What is the lowest common multiple of 450 and 18?
450
Calculate the common denominator of 139/48 and -149/18.
144
Calculate the least common multiple of 18 and 16.
144
Calculate the lowest common multiple of 1332 and 1776.
5328
What is the smallest common multiple of 64 and 112?
448
Calculate the smallest common multiple of 2457 and 4641.
41769
What is the lowest common multiple of 9060 and 1140?
172140
Calculate the smallest common multiple of 10 and 166.
830
Calculate the common denominator of -37/228 and 26/3.
228
Calculate the common denominator of 71/4 and 31/50.
100
What is the smallest common multiple of 52 and 202?
5252
Calculate the lowest common multiple of 25 and 67.
1675
What is the smallest common multiple of 24 and 1052?
6312
What is the common denominator of -57/28 and -73/402?
5628
Find the common denominator of 2/5 and 11/65.
65
What is the common denominator of 67/48 and 151/102?
816
Find the common denominator of 13/555 and -79/90.
3330
What is the least common multiple of 21 and 8?
168
Calculate the common denominator of -79/80 and 11/8.
80
Find the common denominator of -37/390 and 54/455.
2730
Calculate the smallest common multiple of 36 and 12.
36
Find the common denominator of 63/4 and -91/618.
1236
What is the common denominator of 6/7 and 32/7?
7
Find the common denominator of 13/81 and -62/9.
81
Find the common denominator of 83/224 and -33/4.
224
Calculate the lowest common multiple of 675 and 90.
1350
Calculate the least common multiple of 574 and 82.
574
Calculate the lowest common multiple of 4 and 44.
44
What is the smallest common multiple of 18 and 123?
738
What is the smallest common multiple of 216 and 84?
1512
Calculate the smallest common multiple of 80 and 40.
80
What is the least common multiple of 1899 and 844?
7596
What is the smallest common multiple of 8 and 1559?
12472
Calculate the lowest common multiple of 830 and 20.
1660
Calculate the common denominator of 44/3 and -47/9738.
9738
What is the least common multiple of 576 and 1044?
16704
Calculate the lowest common multiple of 130 and 39.
390
Calculate the least common multiple of 130 and 15.
390
Calculate the lowest common multiple of 350 and 10.
350
What is the smallest common multiple of 33 and 564?
6204
What is the least common multiple of 680 and 272?
1360
Find the common denominator of 49/625 and -41/375.
1875
What is the lowest common multiple of 120 and 120?
120
Calculate the common denominator of -163/210 and -109/70.
210
Calculate the least common multiple of 440 and 2840.
31240
What is the smallest common multiple of 32 and 1270?
20320
Find the common denominator of 109/40 and 3/715.
5720
Calculate the least common multiple of 3444 and 738.
10332
Find the common denominator of -133/170 and -23/510.
510
Find the common denominator of -109/44 and 89/8.
88
Find the common denominator of 63/20 and 89/8.
40
Find the common denominator of 52/1335 and 71/178.
2670
Calculate the least common multiple of 56 and 147.
1176
Calculate the common denominator of -97/12 and -181/180.
180
Calculate the common denominator of -31/3 and -101/514.
1542
What is the lowest common multiple of 1550 and 248?
6200
What is the smallest common multiple of 1243 and 339?
3729
Calculate the common denominator of 58/4115 and 77/2.
8230
What is the lowest common multiple of 6474 and 78?
6474
What is the smallest common multiple of 990 and 324?
17820
Calculate the smallest common multiple of 594 and 270.
2970
What is the lowest common multiple of 171 and 2565?
2565
What is the common denominator of -73/8350 and 19/14?
58450
Calculate the smallest common multiple of 192 and 48.
192
What is the lowest common multiple of 90 and 24?
360
What is the common denominator of -73/390 and -123/650?
1950
Calculate the common denominator of -13 and 49/6.
6
Calculate the lowest common multiple of 27 and 90.
270
What is the lowest common multiple of 200 and 2?
200
What is the common denominator of -21/10 and -62/453?
4530
What is the lowest common multiple of 14 and 316?
2212
Calculate the lowest common multiple of 406 and 232.
1624
What is the lowest common multiple of 82 and 690?
28290
Calculate the smallest common multiple of 100 and 80.
400
Find the common denominator of 19/11 and 50.
11
Calculate the smallest common multiple of 18 and 156.
468
Find the common denominator of 21/8 and -73/382.
1528
What is the common denominator of 7/22 and 26/7?
154
Find the common denominator of 107/3000 and 131/1800.
9000
What is the common denominator of 7/4948 and 85/4?
4948
Calculate the least common multiple of 57 and 95.
285
Find the common denominator of 35/338 and -59/234.
3042
Calculate the smallest common multiple of 10 and 371.
3710
Calculate the least common multiple of 6 and 282.
282
What is the least common multiple of 255 and 2295?
2295
What is the least common multiple of 2488 and 1866?
7464
Find the common denominator of 49/85 and 64/35.
595
What is the least common multiple of 30 and 399?
3990
What is the smallest common multiple of 25 and 45?
225
Find the common denominator of 63/1202 and 52/9.
10818
Calculate the least common multiple of 84 and 219.
6132
Calculate the least common multiple of 70 and 20.
140
What is the common denominator of -25/99 and -76/99?
99
What is the least common multiple of 1260 and 60?
1260
Find the common denominator of -109/12650 and 133/132.
75900
Calculate the lowest common multiple of 1464 and 14.
10248
Calculate the lowest common multiple of 147 and 21.
147
Calculate the common denominator of 89/10890 and 61/27.
32670
Calculate the common denominator of 41/12 and 9/124.
372
Calculate the least common multiple of 354 and 12.
708
Calculate the lowest common multiple of 3600 and 7200.
7200
Calculate the least common multiple of 26 and 52.
52
Calculate the common denominator of -25/2366 and 19/182.
2366
What is the lowest common multiple of 798 and 12?
1596
Calculate the common denominator of 77/186 and -4/5.
930
Find the common denominator of -71/572 and 3/1430.
2860
Calculate the smallest common multiple of 606 and 27.
5454
What is the common denominator of 43/93 and 17/30?
930
Calculate the least common multiple of 33 and 2103.
23133
What is the lowest common multiple of 24 and 684?
1368
Calculate the least common multiple of 2766 and 8.
11064
What is the lowest common multiple of 132 and 33?
132
Find the common denominator of -31/924 and -155/84.
924
What is the least common multiple of 6 and 620?
1860
Calculate the common denominator of 53/213 and -65/12.
852
Calculate the common denominator of 163/126 and 83/63.
126
What is | {
"pile_set_name": "DM Mathematics"
} |
, 5?
0.4280328
Which is the smallest value? (a) 2/3 (b) 0.14886 (c) 49 (d) -3
d
What is the smallest value in 3, -14, -0.0795939?
-14
What is the fourth biggest value in 471407, 1/7, 0.3, 0, -1, 2/19?
2/19
Which is the fifth smallest value? (a) -1/2 (b) 30 (c) 4/11 (d) -8 (e) 134 (f) 2/5
b
What is the fourth smallest value in 1, -944/63, -51/7, 15?
15
What is the smallest value in 3126/211, 2, -0.76, 3/2, -5, -4?
-5
Which is the third smallest value? (a) -12 (b) -5 (c) 190 (d) 262 (e) -1/5
e
What is the second biggest value in 1/24, -3/10, 0.5, 4/5, -4, 7?
4/5
What is the smallest value in 2/11, 0, -7.001, 0.3, 32, 0.2, -5/6?
-7.001
What is the sixth biggest value in 4/7, -0.04, 1, 2, 603, -3?
-3
What is the biggest value in -186.62, -6/7, -2?
-6/7
Which is the sixth smallest value? (a) -6 (b) -233 (c) 1/2 (d) 0.2 (e) -289 (f) -1/4
c
Which is the second biggest value? (a) 186 (b) 1/2 (c) -0.4 (d) -4 (e) 1240 (f) -0.7 (g) -3
a
Which is the second smallest value? (a) 1/5 (b) -894208/5 (c) -2/5
c
Which is the third smallest value? (a) -0.2 (b) -0.49 (c) 2 (d) 5 (e) -12480
a
Which is the smallest value? (a) -521.64 (b) 222 (c) -3
a
Which is the second smallest value? (a) -3 (b) -0.4 (c) 11/2 (d) -9938
a
Which is the third biggest value? (a) -10/179 (b) -0.2 (c) -4/7 (d) -10629
c
Which is the second smallest value? (a) -122182 (b) -9 (c) 2
b
What is the fifth biggest value in -0.3293, 0.2, 13, 26.4, 3/4, -0.1, 5?
0.2
What is the third biggest value in -5, -3, -0.02, -0.3, -1/4, -226?
-0.3
What is the second smallest value in 20.5, -1/4, 621?
20.5
What is the fourth biggest value in -3, 20, 18, -0.3, -276?
-3
Which is the third smallest value? (a) 1472.9 (b) 2/5 (c) 7
a
What is the fourth biggest value in -0.2, -5/3, -148/7, 0.22?
-148/7
What is the smallest value in -23, 1/6, -0.25273, 0.59?
-23
Which is the fourth smallest value? (a) 260/11 (b) 0.2 (c) 18860 (d) -0.5
c
Which is the seventh biggest value? (a) 0.1 (b) -5 (c) 22 (d) 3 (e) -6/23 (f) 3/5 (g) -1
b
Which is the biggest value? (a) -5 (b) -1/3 (c) 1349/14 (d) -1
c
Which is the fifth biggest value? (a) 0 (b) 12 (c) 3/2 (d) -3.4 (e) 0.3 (f) 16 (g) -3
a
What is the fifth smallest value in -2/33, -0.04, 0.5, -1.806, -0.19, -1?
-0.04
What is the fourth biggest value in -2069, 2/11, 3/2, 1.2, -0.1, -0.3?
-0.1
Which is the smallest value? (a) 1/4 (b) 90 (c) -22494 (d) 0.5
c
What is the second biggest value in -3.4, 36, -1, 0.2, -31, 10?
10
What is the third biggest value in -0.5, 98193, 16.3, 8?
8
Which is the smallest value? (a) 8811 (b) -2/179 (c) -0.6
c
What is the third smallest value in -2/116835, -4, -5?
-2/116835
What is the third biggest value in -2609794, 5, -2?
-2609794
What is the third smallest value in 0.02, 0.19, 85/4, 0.4, -0.2, 0, 1?
0.02
What is the fourth smallest value in 0.5, 4, 891, -3?
891
Which is the third biggest value? (a) 0.03 (b) -109/23 (c) 0 (d) 4/35
c
What is the second smallest value in -11.4, -4/7, 12.4, 0, -0.1, -3?
-3
Which is the fourth smallest value? (a) 3/8 (b) -26 (c) -345 (d) 2/19 (e) -113
d
What is the third smallest value in -2, -8, 0.6, 5, 0.039?
0.039
Which is the second smallest value? (a) -0.108 (b) 3/4 (c) -2 (d) -16 (e) 345
c
Which is the fifth smallest value? (a) 16 (b) 2 (c) 2/17 (d) -4 (e) 4 (f) -1/52 (g) -1.08
b
What is the second biggest value in -0.05, 2/5, -2/3, 6032663?
2/5
What is the third biggest value in 0.1, 12596, -3/44?
-3/44
Which is the second smallest value? (a) -3/34 (b) 6 (c) 1 (d) -4/15 (e) -1/4 (f) -4 (g) 4
d
Which is the third biggest value? (a) 4425 (b) -8 (c) 14/27
b
Which is the fifth smallest value? (a) 2/5 (b) 5.2 (c) -0.5 (d) 5 (e) 1537 (f) -3
b
Which is the sixth smallest value? (a) 2 (b) 0.094 (c) 1 (d) 3/4 (e) 0.5 (f) -1/4
a
Which is the smallest value? (a) -1/8 (b) -0.5 (c) 4 (d) -0.186 (e) -2/187
b
What is the second smallest value in 3/4, 20/11, -1/3160, 5, 0.4?
0.4
What is the fourth smallest value in 0.4, -1.93, -2, -9682, 10?
0.4
What is the fourth biggest value in -1/7, 3, 249, -0.86, -9, -2/9, 2/11?
-1/7
What is the smallest value in -6/11, -76, 2/5, -16, -4, -10?
-76
What is the second smallest value in -0.0191, 0.4, -3/725?
-3/725
Which is the smallest value? (a) 2885 (b) 1/51 (c) 2/45 (d) -0.4
d
Which is the third biggest value? (a) -25 (b) -51 (c) -265 (d) -5/4 (e) -2
a
What is the fifth smallest value in 0.5, -1/8, -116/265, 1, -4?
1
Which is the fifth biggest value? (a) 5096/3 (b) 0 (c) -3/8 (d) -0.2 (e) 0.3
c
Which is the fourth smallest value? (a) -3/4 (b) 0 (c) -2230743 (d) -2/263
b
Which is the biggest value? (a) 22.72 (b) -3 (c) -0.5 (d) -0.4 (e) 0.1 (f) -0.2 (g) 0
a
Which is the second biggest value? (a) 2/6735 (b) 326 (c) -4
a
Which is the second smallest value? (a) 6 (b) 128/15 (c) -0.0488
a
What is the smallest value in 2/19, 1.4, -13/2, 1/35, -1/8, -0.55?
-13/2
Which is the fifth smallest value? (a) -5 (b) -7 (c) -30 (d) 144/13 (e) -13
d
What is the fourth biggest value in 0.084, 12, -0.4, -1, 1/9, -2/7, -0.5?
-2/7
Which is the fourth biggest value? (a) -3/4 (b) 1/6 (c) -3690 (d) -5 (e) 5/4 (f) -2
f
Which is the fourth smallest value? (a) 3/110 (b) -4 (c) 5 (d) 28/5 (e) 0 (f) 2 (g) 1
g
What is the second biggest value in 1.4, -49/13, 6, 0.16, -2?
1.4
What is the second smallest value in -3, -0.4, -0.1, -2/19, 0, 2043?
-0.4
Which is the smallest value? (a) 3172 (b) 82 (c) -0.018
c
Which is the second biggest value? (a) 0 (b) -0.1 (c) -15177527.1
b
What is the smallest value in -4, 122729/4, -49?
-49
What is the fifth biggest value in -0.3, -9, 0.3, -4, -1/291772?
-9
Which is the third smallest value? (a) -2/1526099 (b) -0.4 (c) -3 (d) 4/5
a
What is the second biggest value in 3, -0.1, -1/1703335?
-1/1703335
Which is the third biggest value? (a) 2 (b) -2/15 (c) 5 (d) 1/103 (e) 2/8917
d
What is the second smallest value in 9, 0.8, -1, 2, -2/7, 2/3, -0.28?
-2/7
What is the fourth biggest value in -2918, -6/13, -12/7, 9?
-2918
What is the second biggest value in -6, -47, -2/13, -3/2, -2.7, 1/27?
-2/13
What is the second smallest value in 740, 2/9, -104.806?
2/9
What is the third smallest value in -9053061, 2, -5?
2
Which is the second biggest value? (a) 0 (b) 9 (c) 1.24 (d) -2/2451 (e) 0.1 (f) -0.5
c
What is the third smallest value in 2/9, 3, 4, -2/127, -1.58, 0.8?
2/9
What is the sixth biggest value in -10, 0.002, -5, -743, 5/2, -0.2?
-743
Which is the fifth smallest value? (a) -2/7 (b) -4/395 (c) 5 (d) -0.1 (e) 2.5
c
Which is the fourth biggest value? (a) 1/5 (b) 41820 (c) -0.2 (d) 8 (e) -2/15 (f) -0.4 (g) -1/21
g
What is the biggest value in -0.169, 3, -0.06, 0.08, 2.4, 4, 1?
4
What is the smallest value in -0.1, -72.5, 0.5, 2, 6, -1/7, 0.013?
-72.5
Which is the third smallest value? (a) -111 (b) 1/3824 (c) -1/51 (d) -2/9 (e) 0.5
c
Which is the fourth smallest value? (a) -29242 (b) -1 (c) 1 (d) 5 (e) 4 (f) -3 (g) 2/29
g
What is the biggest value in 3/5, -4432, 5.9, 1/10?
5.9
What is the third biggest value in 0.4, -0.3, -3/2, 12/19, -32378?
-0.3
Which is the sixth biggest value? (a) 0.064 (b) -5 (c) 42 (d) -34 (e) 1 (f) 3/4
d
Which is the fourth smallest value? (a) 3 (b) 3/2 (c) 4682 (d) -37/3
c
What is the fourth biggest value in 1/45, -104624, -3, 3?
-104624
Which is the second smallest value? (a) -2/23 (b) 1/1461 (c) -3179
a
Which is the fourth smallest value? (a) 0.56 (b) -2/143 (c) -51/10 (d) 0.5
a
What is the seventh biggest value in -1/11, -4, 444, -0.1, -0.4, 3, -2/9?
-4
Which is the fourth biggest value? (a) -4 (b) 2 (c) -26 (d) 0.033 (e) 1 (f) 3/5 (g) -44
d
What is the seventh biggest value in -2, -0.1, -37, 51/7, 16, -4, -1/5?
-37
Which is the third smallest value? (a) -1/4 (b) -2 (c) -3665932
a
Which is the second biggest value? (a) 2 (b) 3 (c) -2/13 (d) 0.7966544 (e) -0.05
a
Which is the second biggest value? (a) 144 (b) 3 (c) -1/5 (d) -1 (e) 5 (f) 0.4
e
Which is the second biggest value? (a) -26/5 (b) 277 (c) -6031
a
What is the sixth biggest value in 0, -2/3, -8/75, -0.8, -3, 0.022, -28?
-3
What is the fifth smalle | {
"pile_set_name": "DM Mathematics"
} |
230*p**3 - 354*p**2 - 206*p**2.
230*p**3
Collect the terms in 61*n + 5529948 - 2764975 - 2764973.
61*n
Collect the terms in 2068 - 2*o**2 - 3968 + 2125.
-2*o**2 + 225
Collect the terms in -5*h + 38*h**2 - 68*h**2 + h - 24*h**2 + 4*h.
-54*h**2
Collect the terms in -4 - 769833*w**3 + 4.
-769833*w**3
Collect the terms in -861*f + 0*f**2 + 0*f**2 + 1039*f**3.
1039*f**3 - 861*f
Collect the terms in 5565*j**3 - 5*j - 7911*j**3 + 4*j + j + 3927*j**3.
1581*j**3
Collect the terms in 184*r**2 - 11372719*r + 11372719*r + 146*r**2.
330*r**2
Collect the terms in -231*k**3 + k - 43*k**2 - 24*k**2 - 5*k**2 + 234*k**3.
3*k**3 - 72*k**2 + k
Collect the terms in 3872*g**3 + 1118*g**2 - 377*g**2 - 368*g**2 - 373*g**2.
3872*g**3
Collect the terms in -2*h + 11*h - 6*h - h - 44631*h**2 + 167980*h**2.
123349*h**2 + 2*h
Collect the terms in 69905 + 527*z - 69905.
527*z
Collect the terms in 207736 - u**2 + 2*u**2 - 415618 + 207717.
u**2 - 165
Collect the terms in 66303*h**2 - 21*h - 26984*h**2 - 39319*h**2 - 3 + 2*h**3 + 3.
2*h**3 - 21*h
Collect the terms in 425490*k - 212689*k + 2*k**2 - 212826*k.
2*k**2 - 25*k
Collect the terms in -2939744*s**2 - 104*s**3 + 2939744*s**2.
-104*s**3
Collect the terms in -165328003 + 165328003 + 502*h**3.
502*h**3
Collect the terms in 1393*u**2 + 953631 + 953638 - 1907269.
1393*u**2
Collect the terms in -12154*y + 1286*y - 7527*y - 11238*y - 5774*y.
-35407*y
Collect the terms in -87082223 + 87*r**3 + 231*r**3 + 87082223 + 1096*r**3.
1414*r**3
Collect the terms in -16*h**2 - 4325 + 4325 + 2*h**2 - 14*h**2 + 26*h**2.
-2*h**2
Collect the terms in -2*i**3 + i + 816522*i**2 - i**3 - 816625*i**2.
-3*i**3 - 103*i**2 + i
Collect the terms in 32*b**2 - 3007 - 4198 - 4125 + 2721.
32*b**2 - 8609
Collect the terms in 52*d + 3422 + 3531 - 6954.
52*d - 1
Collect the terms in 12550526 - 9061*r**3 - r - 12550526.
-9061*r**3 - r
Collect the terms in -56 + 84*g + 51 - 198*g + 817*g.
703*g - 5
Collect the terms in -333185*o - 216 + 333179*o + 369.
-6*o + 153
Collect the terms in 24624*k - 411796*k - 199888*k - 2 + 67989*k.
-519071*k - 2
Collect the terms in 9302*g - 9484*g**2 + 9268*g - 18570*g.
-9484*g**2
Collect the terms in 1626 + r + 1623 + 1612 + 12*r**2 + 1604 - 6442.
12*r**2 + r + 23
Collect the terms in -1508409*v**2 + 3016921*v**2 - 1508421*v**2.
91*v**2
Collect the terms in -36342*k + 11325*k + 11328*k + 13687*k.
-2*k
Collect the terms in 31*n + 18*n - 1241361 - 46*n + 1241361.
3*n
Collect the terms in 5999*h**2 - 24915 + 24915 - 3*h.
5999*h**2 - 3*h
Collect the terms in b**2 - 2891*b**3 + 174*b**3 - b**2.
-2717*b**3
Collect the terms in 4 - 9057807*o + 269*o**2 + 9057807*o + 0 - 4.
269*o**2
Collect the terms in -326139*k + 250780*k - 186858*k - 330734*k - 1 - 45125*k.
-638076*k - 1
Collect the terms in 938*y + 2*y**2 - 2001*y**3 - 4*y**2 + 2*y**2 - 938*y.
-2001*y**3
Collect the terms in -954108 + 954108 - 2*h**3 - 23*h**3.
-25*h**3
Collect the terms in 7*h - 9*h**3 - 19*h**3 - 1 - 48*h**2 + 1 - 32*h**3.
-60*h**3 - 48*h**2 + 7*h
Collect the terms in -7*a**3 - 471*a**2 + 151*a**2 + 160*a**2 + 157*a**2.
-7*a**3 - 3*a**2
Collect the terms in -5*m**2 + 164*m + 175*m + 176*m + 175*m - 690*m.
-5*m**2
Collect the terms in 4769 + 4775 - 6*y + 4771 - 19093 + 26*y + 4778.
20*y
Collect the terms in 20*y**3 + 13*y**3 - 11*y**3 + 6*y**3 - 25*y**3.
3*y**3
Collect the terms in 3547*d + 6767*d - 10316*d.
-2*d
Collect the terms in -3300*x - 3306*x - 41 + 6605*x + 41.
-x
Collect the terms in 188*v**3 - 25*v**3 - 1232*v**3 + 410*v**3 - 2111*v**3.
-2770*v**3
Collect the terms in -1050*w + 104*w - 1052*w - 1049*w + 3044*w.
-3*w
Collect the terms in 56*i + 49*i - 701*i + 567*i.
-29*i
Collect the terms in 2393*w - 2393*w + 22721832 + 15*w**3 - 22721832.
15*w**3
Collect the terms in 46295*w + 2*w**2 + 2377*w - 48672*w.
2*w**2
Collect the terms in 438 + 10521*z**2 - 133 - 138 - 167.
10521*z**2
Collect the terms in -18*w + 380*w**2 - 86*w**2 - 286*w**2.
8*w**2 - 18*w
Collect the terms in 52*r - 19 + 6*r + 39 - 60*r - 25.
-2*r - 5
Collect the terms in -3 - 213*m + 104*m + 15 + 97*m + 70*m - 12.
58*m
Collect the terms in 7150*t - 39498*t - 41383*t + 15370*t.
-58361*t
Collect the terms in 122296415*j**3 - 19 + 19.
122296415*j**3
Collect the terms in -1328 - 71*d**3 - 1045 - 69*d**3 + 58*d**3 + 2373.
-82*d**3
Collect the terms in 12604796 - 6302401 - 6*n**2 - 6302394.
-6*n**2 + 1
Collect the terms in 0*x**2 - 2*x**2 - 242*x**3 - 7395*x + 7388*x.
-242*x**3 - 2*x**2 - 7*x
Collect the terms in 5 + 65*x - 1 - 27 + 1 + 18.
65*x - 4
Collect the terms in 83*j**3 - 2 - 5275*j - 95*j**3 - 14 - 1 + 5275*j.
-12*j**3 - 17
Collect the terms in 5*v - 12*v - 2*v + 78*v**3 + 9*v - 194*v**3 + 101*v**3.
-15*v**3
Collect the terms in 18017*k**2 + 96926*k**3 - 18017*k**2.
96926*k**3
Collect the terms in 334524*i - 3 - 327980*i + 12 - 9.
6544*i
Collect the terms in -2563*h**2 + 2511 - 2712*h**2 - 2511.
-5275*h**2
Collect the terms in 47 + 338*r + 341*r - 1370*r + 342*r - 14*r**2 + 338*r.
-14*r**2 - 11*r + 47
Collect the terms in 18 - 15 - 104898563881*p + 104898563882*p - 3.
p
Collect the terms in 7018448*k - 1 + 1.
7018448*k
Collect the terms in -1590060*q**3 - 56286*q**3 - 608876*q**3 - 258663*q**3.
-2513885*q**3
Collect the terms in 70*i + 5*i**3 - 697819*i**2 + 697825*i**2 + 46*i.
5*i**3 + 6*i**2 + 116*i
Collect the terms in -2416*n - 2403*n + 7776*n - 2956*n.
n
Collect the terms in -5329*w - 4434*w + 8690*w.
-1073*w
Collect the terms in -79930*n**2 + 3*n - 3*n + 171178*n**2 + 133252*n**2.
224500*n**2
Collect the terms in -2133*l**2 + 9305*l**2 - 6389*l**2 - 14199*l**2 - 13798*l**2.
-27214*l**2
Collect the terms in -233*h - 5*h**3 + h**3 - 277*h - 4*h**3.
-8*h**3 - 510*h
Collect the terms in 189205*h - 35 - 189203*h + 42.
2*h + 7
Collect the terms in 1017*l**3 - 159 + 256 - 97.
1017*l**3
Collect the terms in -1746*b + 2117*b - 366*b.
5*b
Collect the terms in -273*s - 341*s - 284*s + 111*s - 339*s.
-1126*s
Collect the terms in -427*i**2 + 427*i**2 + 6935*i**3 + 6897*i**3 - 13801*i**3.
31*i**3
Collect the terms in 61 - 83 + 34 + 45 - l**3.
-l**3 + 57
Collect the terms in -30*z**2 - 14865*z + 14865*z - 3018*z**2.
-3048*z**2
Collect the terms in -277*h + 156*h**2 - 76*h**2 - 79*h**2 + 274*h.
h**2 - 3*h
Collect the terms in -19630*y**3 - 14*y + 9814*y**3 + 5*y + 9812*y**3 + y.
-4*y**3 - 8*y
Collect the terms in -34846*i**3 + 17419*i**3 + 17415*i**3 - 29 + 15 + 14.
-12*i**3
Collect the terms in -13*z**2 + 16*z + 160 - 3892 + 342 - 16*z.
-13*z**2 - 3390
Collect the terms in 184 - 1618*i**2 - 184 - 2729*i**2 + 4343*i**2.
-4*i**2
Collect the terms in 19*p**2 - 319*p - 367 + 11*p**2 - 397*p + 369 - 29*p**2.
p**2 - 716*p + 2
Collect the terms in 3*a - 261 + 2*a - a + 2*a + a.
7*a - 261
Collect the terms in 2060*f + 6001*f + 6*f**3 - 3*f**3.
3*f**3 + 8061*f
Collect the terms in 122 - 401 + 18*d - 7*d - 441.
11*d - 720
Collect the terms in 1452384*a**2 + 690459*a**2 + 354474*a**2.
2497317*a**2
Collect the terms in 46388673*w**3 - 46388592*w**3 - w + w.
81*w**3
Collect the terms in -127684*s**2 + 42575*s**2 - 168*s + 168*s + 42553*s**2 + 42555*s**2.
-s**2
Collect the terms in -891819 + 446668 - 126*g + 445151.
-126*g
Collect the terms in 21*k - 47*k - 3560*k**3 - 47 + 26*k.
-3560*k**3 - 47
Collect the terms in -42*u - 23*u**2 - 67*u**2 - 66*u - 4*u.
-90*u**2 - 112*u
Collect the terms in -204*r**2 + 203*r**2 - 46*r**3 - 187*r**3.
-233*r**3 - r**2
Collect the terms in -1420 + 4583 - 13*b - 3163.
-13*b
Collect the terms in 1399*o - 1399*o + 996 - 5*o**3.
-5*o**3 + 996
Collect the terms in 123*f - 8 + 167 + 49 + 7.
123*f + 215
Collect the terms in -65*o - 62*o - 33*o + 15*o + 45*o - 27*o.
-127*o
Collect the terms in -19 - 20 + 39 - 146*x**3 + 924*x**3.
778*x**3
Collect the terms in o + 336 - 999 + o**2 - 3*o + 332 + 333 + 1827*o**2.
1828*o**2 - 2*o + 2
Collect the terms in 250*o + 177*o + 317*o - 137*o - 41*o.
566*o
Collect the terms in -i + 13005 + 2*i - 14389.
i - 1384
Collect the terms in -71463*q**2 + 11*q + 0 - 71514*q**2 - 41*q + 0 + 143104*q**2.
127*q**2 - 30*q
Collect the terms in -829799*l**3 - 829746*l**3 + 1659547*l**3.
2*l**3
Collect the terms in -22799*p - 23701 + 23701.
-22799*p
Collect the terms in 3*o**2 - 53*o - 2*o**2 + 58*o - 5*o + 44*o + 103.
o**2 + 44*o + 103
Collect the terms in 7 | {
"pile_set_name": "DM Mathematics"
} |
ne d(-3).
1
Let w(f) = 4*f**2 + 0*f + 4*f - 3*f**2 - 3*f. Let z(v) = v**3 + 4*v**2 - v - 4. Let k be z(-4). What is w(k)?
0
Let i(m) = 2*m**2 - 7*m + 2*m - 4 + 2*m**3 - 2*m. Let b(v) = -v**3 - v**2 + 3*v + 2. Let r(a) = 5*b(a) + 2*i(a). Let s = -19 - -17. Calculate r(s).
4
Let s be (-15)/20 - 55/(-20). Let y(p) = p**2 + 2*p - 1. Calculate y(s).
7
Let f(q) = q**2 - q - 9. Suppose 25 = 2*m + 3*m. Let j(w) = w - 3. Let a be j(m). Suppose -g + k - 2 + 1 = 0, -2*k = -g - a. Calculate f(g).
-9
Let x(l) = 3*l - 1. Let k(d) = d**3 + d**2 - 14*d - 6. Let g be k(-4). Determine x(g).
5
Let h(z) = -z - 2. Let c = -6 - -12. Suppose 2*p = -2*q - 4, 2*p - 20 = -2*q + c*q. Give h(q).
2
Let o(i) = 3*i**2 + 7*i + 3. Suppose 0 = 2*c - 2*w - 18, -4*c + 28 = -2*w. Let g(t) = 4*t**2 + 10*t + 4. Let q(z) = c*g(z) - 7*o(z). Determine q(0).
-1
Suppose -y + 4*v - 29 = 0, 2*v = 4*y + 67 - 21. Let d be ((-6)/(-9) + -1)*y. Let c(m) = -3*m - 2*m - d + 8*m. What is c(2)?
3
Let p be -3 - (-8 + 2 - -1). Let s(g) = -5*g**2 - 2*g + 1. Let j(o) = -5*o**2 - 2*o + 1. Let u(q) = p*j(q) - 3*s(q). Determine u(1).
6
Let c(t) = 2*t - 6. Let j = 41 - 25. Suppose 0 = 5*x + 3*q - j, -2*x + 6*x = 3*q + 29. Determine c(x).
4
Suppose 3*r - 6 = 5*v + 34, 0 = 2*r + 5*v + 15. Suppose 4*f - 3 = f + u, 2*f + 5*u = -15. Let k(s) = -10 - s + f + r. Give k(0).
-5
Let a(c) = c + c - c - 2*c + 2. Let b be a(8). Let u(z) = 7*z**2 + z**3 + 7*z + 1 + 8*z**2 - 8*z**2. Determine u(b).
-5
Suppose 4*k + 0*y = y + 18, -4*y = k - 13. Let v = -2 + 9. Let r(b) = 2*b - v*b + 3*b + b. Calculate r(k).
-5
Let k be (-165)/(-12) + (-2)/(-8). Let s = k - 11. Let o(j) = -10*j**2 + 6*j + 12. Let g(h) = -7*h**2 + 4*h + 8. Let q(w) = -7*g(w) + 5*o(w). Calculate q(s).
1
Let q(p) be the third derivative of p**5/60 + p**4/4 - 5*p**3/3 + 9*p**2. Determine q(-7).
-3
Let b(g) = g**2 + 2*g - 6. Let i be (-3)/6*(-10)/(-1). Give b(i).
9
Let p(k) = k + 3. Let b(j) = 5*j - 2. Let m be b(1). Give p(m).
6
Let v be -2 + 1 - (-5 + -2). Suppose 0*m = m + 4*j + v, j = -1. Let q be m/(-6) + 10/6. Let f(o) = -o**3 + 2*o**2 - 1. Determine f(q).
-1
Let b(a) be the second derivative of -a**3/6 + 3*a**2/2 - a. Let k = -26 - -33. Suppose k = 4*h - 5. Calculate b(h).
0
Let p be (10/(-8))/((-1)/(-4)). Let b(g) be the first derivative of -g**4/12 - g**3/2 + g**2/2 - 2. Let t(a) be the second derivative of b(a). Calculate t(p).
7
Let t(h) = -h**3 + h - 5*h**2 + 4 - 2*h**3 + 4*h**3. Suppose -2*z - 224 = 2*z. Let f be (-2)/3 - z/12. Calculate t(f).
-8
Suppose -4*t - 4*p + 6 = 18, -t + 27 = -5*p. Suppose 4*f - 2*c - 12 = -t, -1 = -c. Let s(z) = -2*z**2 + 3*z + 1. Determine s(f).
-8
Let q(d) = -14*d**3 + 5*d**2 + 5*d - 6. Let m(j) = -13*j**3 + 4*j**2 + 4*j - 5. Let u(c) = 5*m(c) - 4*q(c). Let p = 5 - 6. Calculate u(p).
8
Suppose 4 = -3*c - c. Suppose 2*k = -2*k + 40. Let u be ((-4)/k)/(c/10). Let q(w) = -2*w + 1. Give q(u).
-7
Let t(k) be the second derivative of k**5/20 - k**4/12 + 3*k**2/2 + k. Let u be 8 + -5 + -3*1. Determine t(u).
3
Let r(q) = q**2 + 8*q + 6. Let y(c) = 2*c**2 + 16*c + 13. Let m(d) = -9*r(d) + 4*y(d). Calculate m(-8).
-2
Let r be (-8)/(-16)*6/(-1). Let l(h) = -h**3 - 4*h**2 - h + 2. Let u be l(r). Let b(x) = x**2 + 4*x - 5. What is b(u)?
-5
Let t(c) = 6*c**3. Let o = -27 + 26. Determine t(o).
-6
Let y(r) = -4*r - 4. Let x(s) be the first derivative of 1/2*s**2 - 9*s - 1. Let h be x(6). Give y(h).
8
Let p = -2 - -3. Let v(i) = 4*i. Determine v(p).
4
Let w(o) be the third derivative of o**4/4 + o**3/3 - 2*o**2. Suppose -2*c + 3*k + 0*k = -2, 0 = 3*c + k + 8. Give w(c).
-10
Let g(q) = 8*q - 1. Suppose -3*d + 8 = 2*x, 4*x - 5*x + d - 6 = 0. Give g(x).
-17
Suppose 0 = v - 2*g + 2, 2*v - 2*g + 6*g - 12 = 0. Let q(l) = -6*l**2 + 2*l + 3. Let w(y) = -13*y**2 + 4*y + 7. Let r(n) = -9*q(n) + 4*w(n). Calculate r(v).
5
Suppose -33 = 2*h - 25. Let c(z) = z**2 + z + 5. Determine c(h).
17
Let s(p) = 3*p + 4. Let c(m) = 4*m + 8. Let o(y) = 3*c(y) - 5*s(y). What is o(-3)?
13
Let x(j) = -j**3 - 8*j**2 - 10*j + 15. Let v be x(-6). Let s(c) be the first derivative of c**3/3 - 3*c**2/2 - c + 2. Calculate s(v).
-1
Suppose 5*f = -4*p - 1 + 23, -2*p + 16 = 5*f. Let o(q) = -8*q**2 + q**p + 3*q + 4*q - 4 + 0*q. Determine o(7).
-4
Let u(w) = -3 + 5*w + 1437*w**2 - 3 - 1438*w**2. Calculate u(7).
-20
Let n(h) = -h**2 - 6*h + 5. Let b(m) = m - 1. Let q be b(-4). Let x(v) = -2 - v + 5 - 2 + 0. Let g(r) = q*x(r) + n(r). Give g(0).
0
Let l(f) = 11*f**2 + 11*f - 8. Let x(u) = -5*u**2 - 5*u + 4. Let k(n) = -6*l(n) - 13*x(n). Calculate k(0).
-4
Let u(v) = 6*v - 1. Let b = -7 - -8. What is u(b)?
5
Suppose 7 = -y + 3*m, 6*y - 2*y - 2*m - 2 = 0. Let w(i) = 2*i + 0*i**3 + i**3 - i**2 + 0*i**2. Calculate w(y).
8
Let v(q) = q**3 - 5*q**2 + 7*q - 5. Let u = 16 + -12. What is v(u)?
7
Let a(i) = 2*i**2 + 3*i - 2. Let g(u) = -u**3 + u**2 - u + 1. Let m(o) = -a(o) - 2*g(o). Calculate m(3).
15
Let r(j) = -7*j - 31. Let u(c) = 3*c + 15. Let b(s) = 4*r(s) + 9*u(s). What is b(5)?
6
Let w = -17 - -1. Let j = w - -11. Let z(u) = -u**2 - 3*u. Calculate z(j).
-10
Let p(b) = -b**2 - 7*b + 11. Suppose 6*w = -0*w - 54. What is p(w)?
-7
Let s(f) = 4*f + f**2 + 7 + f + 2*f. Let h be (-2)/(-4)*(-14 - -4). Determine s(h).
-3
Let y = -331 + 328. Let j(i) = 15*i**3 + 19*i**2 + 19*i - 11. Let v(z) = -7*z**3 - 9*z**2 - 9*z + 5. Let t(m) = 6*j(m) + 13*v(m). Calculate t(y).
8
Let j(h) = -4 + 2 - 2*h + h. Suppose 4*k - 38 = -i + 4*i, 3*i + 3*k = -3. What is j(i)?
4
Let m(d) = 8*d - 19. Let h(z) = -7*z + 18. Let g(j) = 7*h(j) + 6*m(j). What is g(8)?
4
Let w = 6 + -3. Let g be 0/(1 + 4 - w). Let p(r) = -r + 3. Determine p(g).
3
Let a(z) = 0 + 0 + 1 - 4*z. Suppose 2 = j - 0. Suppose 4 - j = 2*g. Give a(g).
-3
Let l be 1 + (1 + -1)*1. Let k(b) = b - 25 - 3*b**2 + 38 - 14. What is k(l)?
-3
Let n(l) be the first derivative of 0*l + 1/2*l**3 + 3 + 1/24*l**4 + 1/2*l**2. Let d(f) be the second derivative of n(f). What is d(-3)?
0
Let q(n) be the first derivative of 3 - 2 - 5*n + n - n**2 + 0*n. Suppose -5*d - 33 = -13. Calculate q(d).
4
Let r be ((-2)/4)/(7/(-84)). Let t(k) = -19 + 44 - r*k - 24. Determine t(-1).
7
Let a = 3 - -2. Let b(w) = -w + 1. Let z(g) = 3*g - 2. Let j(i) = a*b(i) + 2*z(i). Determine j(-6).
-5
Let f = -8 + 6. Let y(t) be the second derivative of -1/4*t**4 - t**2 - 1/20*t**5 + 0 - 2/3*t**3 - t. Give y(f).
2
Let p(d) = 2*d + 6*d + 6*d**2 + d**3 - 2*d + 1. Let n(w) be the second derivative of -w**4/12 - 5*w**2/2 + 3*w. Let a be n(0). Determine p(a).
-4
Let k(x) = 13 - 21 + 8 + 11*x**2. Give k(1).
11
Let i(d) be the second derivative of d**5/60 + d**4/4 + 5*d**3/6 + 4*d**2 - 8*d. Let y(w) be the first derivative of i(w). Give y(-6).
5
Let r(p) = p**2 - 8*p + 8. Let i be r(8). Suppose i*x + 3 = 11*x. Let m(g) be the first derivative of -g**2/2 + 2*g - 1. What is m(x)?
1
Suppose -3 + 5 = 2*k. Let b(w) be the third derivative of 0*w**3 - 1/60*w**5 + 6*w**2 + 1/24*w**6 + 0 + 1/24*w**4 + 0*w. Calculate b(k).
5
Let k(m) = 7*m**3 + 21*m**2 - 2*m - 4. Let h(x) = -4*x**3 - 11*x**2 + x + 2. Let d(t) = 11*h(t) + 6*k(t). Give d(3).
-14
Let x(g) be the third derivative of g**6/120 - g**5/30 + 2*g**2. Let z(d) = -d**3 + 2 - 5*d - 2*d + 4*d**2 + 4*d**2. Let u be z(7). Calculate x(u).
0
Let x(f) = 2*f**3 - f**2 + 3*f**2 - 3*f**3 + f. Let j be (-12)/20 + (-9)/(-15). Suppose j = 4*u - 4, d + 0*u - u = -2. Give x(d).
2
Let d be ((1/((-2)/(-8)))/(-1))/2. Let v(x) = x**2 + 2*x + 2. Give v(d).
2
Suppose 2*w - 2*q + 4 = -3*q, -4*w + 3*q = 28. Let z = -3 - w. Let o be -4 - ((0 - 0) + z). Let h(u) = -u**3 - 4*u**2 + 6*u + 6. What is h(o)?
1
Suppose -4*s - 4*l = 12, 2*l + 3*l = 2*s - 29. Suppose -s*j = -5*t - 5*j - 11, 5 = 5*t - 5*j. Let x be -3 - t - -1 - 0. Let h(w) = 5*w. Calculate h(x).
-5
Let l = 202 - 208. Let f(q) = -q**2 - 5 + 6*q**2 - 7*q + 0*q**3 + q**3. What is f(l)?
1
Let o(w) = -9*w**2 - 4*w - 3. Let s(y) = 3*y**2 + y + 1. Let g(t) = -2*o(t) - 7*s(t). Give g(2).
-11
Suppose -2*d + 6*d - 8 = 0. Let x(b) = b**3 + 2 - 2*b + b**d + b**2 + b. Calculate x(-3).
-4
Let k = 56 + -51. Let w(p) = -p**2 + 5*p + 3. What is w(k)?
3
Let u(v) be the second derivative of -v**4/12 - 4*v**3/3 - 5*v**2 + 11*v. Determine u(-7).
-3
Let m(i) = i**2 - 2. Let b(v) = -v**3 - 4*v**2 + 3*v + 1. Let g be b(-5). Let d = g - 14. | {
"pile_set_name": "DM Mathematics"
} |
7 to the power of 1/3, to the nearest integer?
100
What is 19978769 to the power of 1/10, to the nearest integer?
5
What is the square root of 252523 to the nearest integer?
503
What is 3040423 to the power of 1/5, to the nearest integer?
20
What is 5856068 to the power of 1/3, to the nearest integer?
180
What is the cube root of 682985 to the nearest integer?
88
What is 350277 to the power of 1/6, to the nearest integer?
8
What is the tenth root of 3894942 to the nearest integer?
5
What is 11148305 to the power of 1/9, to the nearest integer?
6
What is the tenth root of 132887 to the nearest integer?
3
What is the square root of 9289974 to the nearest integer?
3048
What is the tenth root of 8961 to the nearest integer?
2
What is the cube root of 516980 to the nearest integer?
80
What is 606016 to the power of 1/4, to the nearest integer?
28
What is the fourth root of 6927218 to the nearest integer?
51
What is 6680171 to the power of 1/9, to the nearest integer?
6
What is the square root of 966332 to the nearest integer?
983
What is the seventh root of 2496727 to the nearest integer?
8
What is 43655 to the power of 1/9, to the nearest integer?
3
What is the square root of 33536279 to the nearest integer?
5791
What is the square root of 8978929 to the nearest integer?
2996
What is 338308 to the power of 1/2, to the nearest integer?
582
What is 857433 to the power of 1/5, to the nearest integer?
15
What is the cube root of 2793572 to the nearest integer?
141
What is 766056 to the power of 1/2, to the nearest integer?
875
What is the fourth root of 2707356 to the nearest integer?
41
What is the seventh root of 450648 to the nearest integer?
6
What is 1648937 to the power of 1/6, to the nearest integer?
11
What is 278928 to the power of 1/3, to the nearest integer?
65
What is the seventh root of 15563970 to the nearest integer?
11
What is the fifth root of 18134915 to the nearest integer?
28
What is the square root of 4571504 to the nearest integer?
2138
What is 1645353 to the power of 1/9, to the nearest integer?
5
What is the square root of 1457255 to the nearest integer?
1207
What is the square root of 6521839 to the nearest integer?
2554
What is the square root of 232980 to the nearest integer?
483
What is the eighth root of 28255860 to the nearest integer?
9
What is 29043367 to the power of 1/2, to the nearest integer?
5389
What is the tenth root of 32173282 to the nearest integer?
6
What is the third root of 17190649 to the nearest integer?
258
What is 787043 to the power of 1/9, to the nearest integer?
5
What is the third root of 10287593 to the nearest integer?
217
What is the fourth root of 192297 to the nearest integer?
21
What is the third root of 833890 to the nearest integer?
94
What is the tenth root of 1288914 to the nearest integer?
4
What is the sixth root of 2914603 to the nearest integer?
12
What is the fifth root of 545168 to the nearest integer?
14
What is 29866180 to the power of 1/7, to the nearest integer?
12
What is the third root of 730890 to the nearest integer?
90
What is the third root of 496643 to the nearest integer?
79
What is 128681 to the power of 1/3, to the nearest integer?
50
What is the square root of 2796054 to the nearest integer?
1672
What is the eighth root of 616519 to the nearest integer?
5
What is the tenth root of 368898 to the nearest integer?
4
What is 3029691 to the power of 1/4, to the nearest integer?
42
What is the third root of 521784 to the nearest integer?
81
What is 533217 to the power of 1/2, to the nearest integer?
730
What is 10611 to the power of 1/2, to the nearest integer?
103
What is 1768131 to the power of 1/7, to the nearest integer?
8
What is 107856 to the power of 1/8, to the nearest integer?
4
What is 11231603 to the power of 1/5, to the nearest integer?
26
What is 281765 to the power of 1/2, to the nearest integer?
531
What is 4906 to the power of 1/3, to the nearest integer?
17
What is the tenth root of 2901274 to the nearest integer?
4
What is the seventh root of 6049981 to the nearest integer?
9
What is the fifth root of 1710644 to the nearest integer?
18
What is 1030058 to the power of 1/3, to the nearest integer?
101
What is the tenth root of 126912 to the nearest integer?
3
What is the cube root of 3318931 to the nearest integer?
149
What is 1469650 to the power of 1/7, to the nearest integer?
8
What is the square root of 2076095 to the nearest integer?
1441
What is the third root of 230558 to the nearest integer?
61
What is the square root of 9570277 to the nearest integer?
3094
What is 8511395 to the power of 1/2, to the nearest integer?
2917
What is the square root of 119232 to the nearest integer?
345
What is 786521 to the power of 1/5, to the nearest integer?
15
What is 27544758 to the power of 1/8, to the nearest integer?
9
What is the tenth root of 5888498 to the nearest integer?
5
What is the fourth root of 4015855 to the nearest integer?
45
What is the eighth root of 413498 to the nearest integer?
5
What is 254062 to the power of 1/8, to the nearest integer?
5
What is the square root of 2209995 to the nearest integer?
1487
What is 5020327 to the power of 1/3, to the nearest integer?
171
What is the square root of 42602 to the nearest integer?
206
What is the fifth root of 12905 to the nearest integer?
7
What is the square root of 165863 to the nearest integer?
407
What is 709633 to the power of 1/2, to the nearest integer?
842
What is the third root of 254308 to the nearest integer?
63
What is the eighth root of 350850 to the nearest integer?
5
What is the square root of 1155983 to the nearest integer?
1075
What is the tenth root of 268027 to the nearest integer?
3
What is 1915629 to the power of 1/2, to the nearest integer?
1384
What is 446480 to the power of 1/3, to the nearest integer?
76
What is 196386 to the power of 1/10, to the nearest integer?
3
What is the square root of 405889 to the nearest integer?
637
What is 703134 to the power of 1/6, to the nearest integer?
9
What is 212752 to the power of 1/2, to the nearest integer?
461
What is 2784369 to the power of 1/4, to the nearest integer?
41
What is the square root of 1099490 to the nearest integer?
1049
What is the square root of 8566169 to the nearest integer?
2927
What is the square root of 18758216 to the nearest integer?
4331
What is the ninth root of 14860994 to the nearest integer?
6
What is the tenth root of 259276 to the nearest integer?
3
What is 22950014 to the power of 1/7, to the nearest integer?
11
What is 5690385 to the power of 1/2, to the nearest integer?
2385
What is the cube root of 2601396 to the nearest integer?
138
What is the square root of 74976 to the nearest integer?
274
What is 6653887 to the power of 1/3, to the nearest integer?
188
What is 3425515 to the power of 1/3, to the nearest integer?
151
What is 15095030 to the power of 1/10, to the nearest integer?
5
What is the square root of 252694 to the nearest integer?
503
What is 9003901 to the power of 1/3, to the nearest integer?
208
What is 17435192 to the power of 1/2, to the nearest integer?
4176
What is the fourth root of 23221 to the nearest integer?
12
What is the ninth root of 177904 to the nearest integer?
4
What is the third root of 5535647 to the nearest integer?
177
What is 510843 to the power of 1/9, to the nearest integer?
4
What is the ninth root of 148178 to the nearest integer?
4
What is 219771 to the power of 1/4, to the nearest integer?
22
What is the sixth root of 202811 to the nearest integer?
8
What is the cube root of 1644195 to the nearest integer?
118
What is the third root of 387130 to the nearest integer?
73
What is the sixth root of 71407 to the nearest integer?
6
What is the square root of 1162205 to the nearest integer?
1078
What is 9008128 to the power of 1/8, to the nearest integer?
7
What is 293175 to the power of 1/5, to the nearest integer?
12
What is 37546368 to the power of 1/9, to the nearest integer?
7
What is the third root of 88338 to the nearest integer?
45
What is the square root of 20903880 to the nearest integer?
4572
What is the square root of 1504305 to the nearest integer?
1227
What is the fourth root of 708626 to the nearest integer?
29
What is 456180 to the power of 1/9, to | {
"pile_set_name": "DM Mathematics"
} |
?
279
Let n(p) = p**3 + 5*p**2 + 126*p + 818. What is n(-6)?
26
Let x(z) = 52206*z - 104410. Calculate x(2).
2
Let x(l) = -11*l**3 - 625*l**2 - 13*l + 120. What is x(-57)?
7359
Let j(l) = -5*l**2 + 110*l + 488. Determine j(-5).
-187
Let r(o) = 18*o**2 + 544*o - 25. Calculate r(0).
-25
Let o(c) = 210248*c + 1051287. What is o(-5)?
47
Let g(t) = -t**2 + 709*t + 80713. Calculate g(-100).
-187
Let o(b) = b**3 - b**2 - 117*b + 493. Determine o(9).
88
Let w(t) = 548*t**2 - 132*t - 119. Determine w(-1).
561
Let o(s) = s**3 - 122*s**2 + 39*s - 5513. Give o(122).
-755
Let b(f) = 21*f**2 - 90*f - 787. Determine b(16).
3149
Let p(z) = 449*z - 35453. Calculate p(81).
916
Let o(z) = 3066*z - 25932. Give o(8).
-1404
Let x(r) = -18957*r - 151184. Calculate x(-8).
472
Let y(m) = m**3 - 152*m**2 - 6781*m + 1046735. Determine y(151).
3
Let i(v) = -6*v**3 + 5*v**2 - 5*v - 69. What is i(3)?
-201
Let a(r) = -2078*r**2 - 8274*r - 23. Determine a(-4).
-175
Let r(t) = -4*t**3 + 55*t**2 + 2312*t - 28761. Determine r(12).
-9
Let y(t) = -17191*t - 825156. Calculate y(-48).
12
Let x(p) = 1624*p + 3384. Determine x(-2).
136
Let w(d) = 127050*d + 127047. Calculate w(-1).
-3
Let y(z) = 4828*z + 13697. What is y(-3)?
-787
Let h(q) = 23308*q + 209729. Determine h(-9).
-43
Let d(i) = 5*i**2 - 30*i + 150. Calculate d(8).
230
Let m(k) = -37*k**2 - 2142*k + 224. What is m(-58)?
-8
Let a(j) = 3*j**2 + 151*j - 3307. Calculate a(19).
645
Let z(y) = -132*y**2 + 20499*y + 4. Determine z(0).
4
Let x(p) = -1983*p + 6025. Determine x(3).
76
Let k(c) = -3*c**2 + 568*c - 22853. Determine k(58).
-1
Let h(d) = d**3 + 7*d**2 + 219*d + 669. Calculate h(-3).
48
Let m(t) = 2*t**2 + 3211*t - 283838. Determine m(84).
-2
Let q(r) = 473*r - 11123. Give q(24).
229
Let w(m) = 96*m**2 - 2777*m + 88. What is w(29)?
291
Let g(d) = d**3 + 69*d**2 - 2746*d - 159438. Determine g(-78).
-6
Let p(m) = 7*m**3 + 42*m**2 - 365*m - 23. Give p(-11).
-243
Let v(z) = 2*z**2 + 520*z + 13769. Give v(-30).
-31
Let d(g) = 135*g**2 + 20063*g - 7761. What is d(-149)?
-13
Let w(l) = 17056*l + 170581. Calculate w(-10).
21
Let f(o) = -201950*o - 1009754. Determine f(-5).
-4
Let i(k) = -853*k + 149353. Calculate i(175).
78
Let c(j) = -9048*j + 44753. Determine c(5).
-487
Let k(g) = -5973*g + 3530122. Calculate k(591).
79
Let r(p) = 314*p - 43644. Calculate r(160).
6596
Let z(y) = 309*y - 70697. Determine z(227).
-554
Let v(r) = 151*r - 74. Calculate v(3).
379
Let v(w) = -99974*w + 3399136. What is v(34)?
20
Let q(v) = 3*v**2 + 46*v - 1392. Calculate q(27).
2037
Let s(k) = 2*k**3 - 114*k**2 + 1487*k - 1614. Determine s(38).
20
Let s(c) = 138827*c - 2915368. Calculate s(21).
-1
Let m(s) = -741*s + 1433. What is m(4)?
-1531
Let f(h) = -4*h**3 + 505*h**2 - 119*h - 864. Determine f(126).
18
Let p(l) = 30*l**2 + 517*l + 162. Determine p(-17).
43
Let q(v) = 4*v**2 - 1582*v + 7903. Give q(5).
93
Let r(t) = -8*t**2 + 145*t + 114. Determine r(28).
-2098
Let p(j) = -51496*j - 103003. What is p(-2)?
-11
Let n(x) = -3273*x + 13. Give n(0).
13
Let w(m) = -3*m**3 - 102*m**2 + 32. What is w(-34)?
32
Let u(r) = 2*r**3 + 5*r**2 + 24*r + 2. Calculate u(0).
2
Let n(u) = 1524*u - 1690. Determine n(1).
-166
Let c(a) = 7*a**2 - 30*a - 1412. Calculate c(16).
-100
Let m(t) = -143*t + 17498. What is m(130)?
-1092
Let l(v) = 452*v**2 - 3567*v - 114. Calculate l(8).
278
Let c(v) = 10*v**2 - 64*v - 185. What is c(11)?
321
Let s(c) = c**3 + 68*c**2 + 967*c + 50149. Determine s(-65).
-31
Let q(h) = 9476*h + 274674. Give q(-29).
-130
Let s(b) = -16649*b + 16631. What is s(1)?
-18
Let z(s) = -23*s**2 - 9661*s - 411. Calculate z(-420).
9
Let t(g) = 592*g**3 + 2958*g**2 - 11*g + 1. Determine t(-5).
6
Let m(j) = 11207*j + 1378486. Determine m(-123).
25
Let z(n) = 4*n**2 + 299*n - 9490. Give z(24).
-10
Let d(b) = 4*b**3 - 194*b**2 + 1752*b + 1724. What is d(36)?
-4
Let r(b) = -1582*b + 515700. Give r(326).
-32
Let n(h) = -h**3 + 3334*h**2 - 26612*h + 28. Give n(8).
-4
Let y(o) = -4*o**2 - 117*o + 2657. Calculate y(30).
-4453
Let c(w) = -61*w**3 + 668*w**2 + 58*w - 490. Give c(11).
-215
Let i(x) = 4*x**3 + 497*x**2 + 131*x + 428. Give i(-124).
-440
Let n(c) = 723*c**2 + 67960*c - 170. What is n(-94)?
18
Let b(t) = 149*t**2 - 892*t - 1. Determine b(6).
11
Let m(c) = 1347*c + 435086. Determine m(-323).
5
Let u(b) = 2822*b - 14258. What is u(5)?
-148
Let n(x) = 10*x**3 - 127*x**2 - 33*x + 614. What is n(13)?
692
Let s(v) = -v**3 + 1392*v**2 + 9788*v - 44. Determine s(-7).
-9
Let h(i) = -161*i + 6149. Determine h(38).
31
Let v(c) = 24244*c - 96971. Give v(4).
5
Let u(x) = -7911*x - 213518. What is u(-27)?
79
Let j(a) = -a**3 + 49*a**2 - 508*a + 22004. Calculate j(48).
-76
Let n(z) = -10*z**3 + 2684*z**2 + 1613*z + 283. Determine n(269).
14
Let n(w) = -30*w**2 - 239*w - 571. Calculate n(-10).
-1181
Let n(b) = -2489*b + 10003. Give n(4).
47
Let n(m) = 4*m**2 + 966*m + 3507. Determine n(-238).
175
Let d(q) = q**3 - 49*q**2 + 123*q + 2478. Give d(45).
-87
Let v(u) = 64*u**2 + 6674*u + 1861. Determine v(-104).
-11
Let j(y) = -12899*y + 103163. What is j(8)?
-29
Let n(w) = w**2 - 2752*w + 60059. Calculate n(22).
-1
Let m(b) = -304*b**2 - 6311*b + 1501. Give m(-21).
-32
Let s(v) = -10947*v + 229862. Calculate s(21).
-25
Let w(b) = 205814*b - 617436. Determine w(3).
6
Let x(g) = 79874*g - 558825. Calculate x(7).
293
Let y(k) = 750*k**2 + 19238*k + 12206. Give y(-25).
6
Let g(q) = 3*q**2 + 2552*q + 2551. Calculate g(-1).
2
Let y(r) = r**3 + 80*r**2 + 88*r + 667. Calculate y(-79).
-44
Let s(o) = 317*o**2 + 244077*o - 10002. Give s(-770).
8
Let x(v) = 1079*v - 163842. Calculate x(151).
-913
Let c(h) = 3*h**3 - 261*h**2 - 381*h + 11375. Give c(88).
1079
Let k(h) = -h**3 + 25*h**2 + 789*h + 3729. Give k(-13).
-106
Let n(y) = -1170*y - 143. Give n(1).
-1313
Let u(h) = 8285*h - 66304. What is u(8)?
-24
Let z(c) = 4*c**2 - 33*c - 670. Determine z(18).
32
Let p(d) = 11521*d + 979282. What is p(-85)?
-3
Let h(k) = -181*k**2 + 3077*k - 71. Give h(17).
-71
Let f(l) = 2*l**3 + 138*l**2 + 112*l - 1420. Give f(-68).
212
Let w(m) = 450*m + 93402. Give w(-208).
-198
Let m(c) = 10*c**3 - 52*c**2 - 14*c + 81. Calculate m(5).
-39
Let u(x) = x**2 + 31584*x + 694364. What is u(-22)?
0
Let o(h) = 59*h**2 + 180*h - 598. Determine o(3).
473
Let a(m) = 229*m + 9882. What is a(-43)?
35
Let i(j) = -j**2 - 1361*j - 468. Calculate i(0).
-468
Let a(q) = -q**3 + 302*q**2 - 7148*q - 7741. Calculate a(276).
-13
Let d(l) = l**3 - 31*l**2 + 133*l - 6749. Give d(33).
-182
Let u(k) = -3*k**3 + 204*k**2 + 28*k + 58. Calculate u(68).
1962
Let t(c) = c**3 + 95*c**2 + 525*c - 1678. Determine t(-89).
-877
Let f(m) = -m**2 + 742*m - 105605. Give f(550).
-5
Let u(b) = -b**3 - 5051*b**2 + 15261*b - 312. Determine u(3).
-15
Let o(n) = n**3 - 415*n**2 - 1257*n + 1251. What is o(418)?
-3
Let i(r) = 396688*r + 1190049. Give i(-3).
-15
Let b(m) = -m**3 - 10*m**2 - 51*m + 68. Determine b(-19).
4286
Let k(j) = -8975*j**2 + 26958*j - 5. Determine k(3).
94
Let i(j) = 8*j**2 + 171*j + 10. Calculate i(-7).
-795
Let p(j) = -17*j**2 + 735*j - 2304. Determine p(40).
-104
Let z(w) = 455*w + 10895. Give z(-24).
-25
Let u(h) = -5*h**2 + 8837*h + 62075. Determine u(-7).
-29
Let r(a) = 3621*a + 7846. Give r(-2).
604
Let n(j) = j**3 - 211*j**2 - 3150*j + 219. Calculate n(225).
219
Let s(t) = -t**3 + 186*t**2 - 6255*t - 117. Give s(44).
-425
Let a(f) = -f**3 + 106*f**2 - 506*f + 711. Give a(101).
610
Let l(c) = -6*c**3 - 71*c**2 - 20*c - 419. Give l(-12).
-35
Let t(g) = g**3 + 180*g**2 + 360*g - 22. Give t(-178).
-734
Let r(w) = -w**3 + 89*w**2 - 393*w + 52276. Give r(91).
-49
Let n(t) = -3010*t - 677249. Determine n(-225).
1
Let f(s) = -98*s**3 - 344*s**2 - 157*s - 20. What is f(-3)?
1
Let k(o) = -2*o**3 + 1030*o**2 - 2036*o - 8356. Calculate k(513).
-148
Let k(b) = -b**3 - 49*b**2 + 263*b + 10757. Give k(-50).
107
Let o(f) = 293005*f + 27835472. Give o(-95).
-3
Let o(h) = 14*h**3 + 4369*h**2 + 312*h - 31. Calculate o(-312).
-31
Let w(c) = 5*c**3 - 2*c**2 - 675*c - 2703. Calculate w(-4).
-355
Let d(w) = -25*w**2 - 149*w + 214. Calculate d(-8).
-194
Let k(v) = -v**3 + 724*v**2 - 4314*v + 45. Calculate k(6).
9
Let x(y) = -20071*y - 381375. Give x(-19).
-26
Let j(d) = -532*d - 18633. Calculate j(-34).
-545
Let t(m) = -11979*m + 11998. Wha | {
"pile_set_name": "DM Mathematics"
} |
the terms in -9*f + 15*f - 10*f - 4*f.
-8*f
Collect the terms in -40*o**2 - 324*o**2 - 531*o**2 + 230*o**2.
-665*o**2
Collect the terms in 6*x + 8*x - 4*x - 3*x.
7*x
Collect the terms in 112*o - 5 - 126*o + 5.
-14*o
Collect the terms in 7*b**3 + 2*b**2 - 21*b**3 + 8*b**3.
-6*b**3 + 2*b**2
Collect the terms in -48*m + 86*m - 40*m.
-2*m
Collect the terms in 41*w**2 + 43 - 43.
41*w**2
Collect the terms in -36*j + j + 185*j.
150*j
Collect the terms in 2 + 12*s + 25*s - 2.
37*s
Collect the terms in 0 + 2*u + 20*u + 0.
22*u
Collect the terms in 39*x**3 - 4*x**3 + 9*x**3.
44*x**3
Collect the terms in -871 - 8*c + 871.
-8*c
Collect the terms in 630 - 630 + 25*d.
25*d
Collect the terms in 0 + 0 + 4 - 3*l**3 - 23.
-3*l**3 - 19
Collect the terms in 19*n**2 - 6*n**2 - 13*n**2 - 233*n**3.
-233*n**3
Collect the terms in 77*q**3 + 74*q**3 - 218*q**3 + 73*q**3.
6*q**3
Collect the terms in -75*w**2 - 69*w**2 + 146*w**2.
2*w**2
Collect the terms in -285 + 300 - 590 - 2*q.
-2*q - 575
Collect the terms in -59 - 65 - 64 + 5*s**3 + 188.
5*s**3
Collect the terms in -2*t - t - 8*t - 2*t.
-13*t
Collect the terms in 209*t**3 - 416*t**3 + 212*t**3.
5*t**3
Collect the terms in 3 - 3587*g - 3 + 3447*g.
-140*g
Collect the terms in -85124*y - y**2 + 85124*y + 3*y**2.
2*y**2
Collect the terms in -57*f - 56*f + 113*f + 146*f**3.
146*f**3
Collect the terms in -2 - 2 + 5*a**2 + 4.
5*a**2
Collect the terms in -26*w**2 + 50*w**2 - 26*w**2.
-2*w**2
Collect the terms in -24*p + 60*p - 14*p - 21*p - 14*p.
-13*p
Collect the terms in -13*x**2 - 40*x + 79*x - 39*x.
-13*x**2
Collect the terms in 5 + 0 - 9*i**2 - 5.
-9*i**2
Collect the terms in -j - 10112 + 10112.
-j
Collect the terms in 244870 + p - 244870.
p
Collect the terms in -353971 + w + 353971.
w
Collect the terms in -3*s + 4*s - s + 199*s**3.
199*s**3
Collect the terms in 23 + 91*z**2 + 97*z**2 - 23.
188*z**2
Collect the terms in -15090*c**2 + 30178*c**2 - 15087*c**2.
c**2
Collect the terms in 9*y**2 + 6*y**2 - 20*y**2.
-5*y**2
Collect the terms in -39 - 4*j**2 + 4*j**2 + 37 + 31*j**3.
31*j**3 - 2
Collect the terms in -8*v + 17*v**2 + 8*v.
17*v**2
Collect the terms in -241*y**2 - 3*y + 482*y**2 - 230*y**2.
11*y**2 - 3*y
Collect the terms in 2911 + 2*x - 2911.
2*x
Collect the terms in 13*h**2 + 15*h**2 - 27*h**2.
h**2
Collect the terms in 2*p**3 - 2*p + 2*p + 4*p**3.
6*p**3
Collect the terms in -6749*b**2 - 6752*b**2 + 13506*b**2.
5*b**2
Collect the terms in -6*o + 1298 - 1298.
-6*o
Collect the terms in -486 + 247 - 2*v + 237 - 5*v.
-7*v - 2
Collect the terms in -133 + 406 - 5*r**3 - 141 - 132.
-5*r**3
Collect the terms in -70600*g + 35301*g + 35293*g.
-6*g
Collect the terms in 723*n**2 - 365*n**2 - 355*n**2.
3*n**2
Collect the terms in 7*c**3 + 13*c**3 - 28*c**3.
-8*c**3
Collect the terms in 1351*n**2 - 18*n + 2 + 18*n.
1351*n**2 + 2
Collect the terms in -29030*j**2 - 3*j**3 + 29030*j**2.
-3*j**3
Collect the terms in 626*i + i**3 - 626*i.
i**3
Collect the terms in 4*u + 0 + 13 - 3 - 7.
4*u + 3
Collect the terms in 104*v**2 - 51*v**2 - 54*v**2.
-v**2
Collect the terms in -3*x + 18*x - 2*x**3 + 16*x.
-2*x**3 + 31*x
Collect the terms in 5*v + 7*v + 5*v + 5*v - 28*v.
-6*v
Collect the terms in 13*r**2 + 15*r**2 - 46*r**2 + 17*r**2.
-r**2
Collect the terms in -9*s**3 + 0*s**2 + 0*s**2 - 61*s**3.
-70*s**3
Collect the terms in -3*f - 3*f + 15*f**3 + 5*f.
15*f**3 - f
Collect the terms in -89*x**3 + 12115 - 12115.
-89*x**3
Collect the terms in 8*o**2 + 40*o**2 - 10*o**2.
38*o**2
Collect the terms in 0*d**2 + 32*d**3 - 28*d**3 + 0*d**2.
4*d**3
Collect the terms in 15 + 107*q**2 + q - 15.
107*q**2 + q
Collect the terms in 303*t**2 - 34*t**2 + 267*t**2.
536*t**2
Collect the terms in 275*t - 136*t - 136*t.
3*t
Collect the terms in -919 + 457 + 462 - 6*m + 5*m.
-m
Collect the terms in 2*d**3 + 66*d**2 - 75*d**2 - 3*d**3 + 9*d**2.
-d**3
Collect the terms in 3*z + 6 + 3*z - 3*z.
3*z + 6
Collect the terms in -32*t**2 + 24*t - 81*t**2 - 24*t.
-113*t**2
Collect the terms in -10*j**2 + 95 - 3*j**2 - 95.
-13*j**2
Collect the terms in 169 + 4*t**2 - 169.
4*t**2
Collect the terms in -17 - 19 - 40*h**2 + 36.
-40*h**2
Collect the terms in 14*t**3 + 4*t**2 - 8*t**3 - 3*t**2.
6*t**3 + t**2
Collect the terms in 7*a**3 - 3291*a**2 + 3291*a**2.
7*a**3
Collect the terms in 0*s + 25*s - s**3 + 3*s**3.
2*s**3 + 25*s
Collect the terms in -2*t - 14 + 14.
-2*t
Collect the terms in 1 - 5 - 29*v + 4.
-29*v
Collect the terms in -w**3 - w**3 - 5*w**3 + 5*w**3.
-2*w**3
Collect the terms in 7*z**3 - 13*z**3 + 10*z**3.
4*z**3
Collect the terms in -3*f + 7*f + 6*f + 2*f - 14*f.
-2*f
Collect the terms in -4*q**2 + 494*q - 494*q.
-4*q**2
Collect the terms in 244*l + 42 - 85 + 43.
244*l
Collect the terms in -2*r - 7*r + 22*r - 12*r.
r
Collect the terms in -7*c**3 + 0*c**3 + 5*c**3 + 5*c**2.
-2*c**3 + 5*c**2
Collect the terms in 53*l**2 - l - 98*l**2 + l + 51*l**2.
6*l**2
Collect the terms in -3852*f + 3 - 3.
-3852*f
Collect the terms in 2391*r**2 - 2391*r**2 + 2*r**3.
2*r**3
Collect the terms in 531 - 531 - 5*k.
-5*k
Collect the terms in 18*d**2 + 0*d**2 + 7*d**2.
25*d**2
Collect the terms in 367*a**3 - 330*a**3 - 2*a + 2*a.
37*a**3
Collect the terms in 0*r**3 + 1443 + 8*r**3 - 1443.
8*r**3
Collect the terms in 1 + 269*r - 134*r - 1 - 131*r.
4*r
Collect the terms in -28*x - x**3 + 20*x + 8*x.
-x**3
Collect the terms in 0*o**2 - 17*o**2 + 76 - 76.
-17*o**2
Collect the terms in 3 - 7*n + 8*n - 3.
n
Collect the terms in 2*p**2 - 4 + 4*p - 4*p**2 + 4.
-2*p**2 + 4*p
Collect the terms in 12*o + o**2 + 16*o + o**2.
2*o**2 + 28*o
Collect the terms in 6*d**2 + 2*d**3 - 27*d**2 + 21*d**2 - 5*d**3.
-3*d**3
Collect the terms in 93*m + 103*m - 31*m.
165*m
Collect the terms in -154*t**3 + 79*t**3 + 66*t**3.
-9*t**3
Collect the terms in -1464*l + 4*l**3 + 1464*l.
4*l**3
Collect the terms in 2*k**2 + 1152*k - 576*k - 576*k.
2*k**2
Collect the terms in -3351*k**3 - 2253*k**3 + 325*k**3.
-5279*k**3
Collect the terms in -9*a**2 + 0*a**2 + 0*a**2 + 2*a**2.
-7*a**2
Collect the terms in 2*g - 3*g - 2*g.
-3*g
Collect the terms in 12*p**2 + 2 + 6 - 8.
12*p**2
Collect the terms in 2 + 12 - 11*z - 14.
-11*z
Collect the terms in 38*x**2 - 7*x**2 - 5*x**2 - 11*x**2.
15*x**2
Collect the terms in 356*m**2 - 60 + 60.
356*m**2
Collect the terms in -6 + 6 + 264*b**2.
264*b**2
Collect the terms in -30*r + 12*r + 12*r + 5*r.
-r
Collect the terms in -43 - 40 + 83 + 252*y.
252*y
Collect the terms in -7*p**3 + 10*p**3 + 7*p**3 + 0*p**3.
10*p**3
Collect the terms in 4 + 7377*f**3 - 4 - 7379*f**3.
-2*f**3
Collect the terms in 4*k**3 - 4*k**3 - 4*k**3 - 6*k**3.
-10*k**3
Collect the terms in -29*p**3 + 5*p - 3*p - 2*p.
-29*p**3
Collect the terms in -6*v - 8*v - v + 8*v + 6*v.
-v
Collect the terms in 12 + 14 + 21*j - 20*j - 26.
j
Collect the terms in 8*j**3 + 7*j**3 - 19*j**3.
-4*j**3
Collect the terms in 25*c - 6*c**2 - 48*c - 2*c**2.
-8*c**2 - 23*c
Collect the terms in -15 - 6*l**2 + 2*l**3 + 10 + 0*l**2.
2*l**3 - 6*l**2 - 5
Collect the terms in 3 + 441*k**2 - 3.
441*k**2
Collect the terms in z**2 + z**2 + 0*z**2.
2*z**2
Collect the terms in -o**3 + 5*o + 14*o**3 - 5*o.
13*o**3
Collect the terms in 3278*d + 3282*d - 6563*d.
-3*d
Collect the terms in 0 - 1068*i + 0 + 1.
-1068*i + 1
Collect the terms in 77 - 77 - 107*i.
-107*i
Collect the terms in -109 + 109 + 3*s.
3*s
Collect the terms in -5 - 1 + 78*p**2 - 89*p**2.
-11*p**2 - 6
Collect the terms in 27 - 7*i**3 - 27 - i**3.
-8*i**3
Collect the terms in 1 - 1 + 71*d**3 - 573*d**3.
-502*d**3
Collect the terms in -15*d + 15*d + 19*d**3 - 17*d**3.
2*d**3
Collect the terms in 4*m + 15*m - 2*m.
17*m
Collect the terms in -21632*n - 3*n**3 + 3 - 2*n**3 + 21632*n.
-5*n**3 + 3
Collect the terms in 170*g**2 - 335*g**2 + 3*g**3 + 165*g**2.
3*g**3
Collect the terms in 0 + 0 - 44*l**2 + 35*l**2.
-9*l**2
Collect the terms in -10*m + 7*m - 2*m - 13*m.
-18*m
Collect the terms in 4*i + 2*i + 32 - 5*i.
i + 32
Collect the terms in 755*v - 1514*v + 757*v.
-2*v
Collect the terms in 774*l**2 - 1542*l**2 + 770*l**2.
2*l**2
Collect the terms in -4*i**2 - 3*i**2 + 4*i**2.
-3*i**2
Collect the terms in 5*g**2 + 3*g**2 - 2*g**2.
6*g**2
Collect the terms in 32*b - 49*b + 33*b.
16*b
Collect the terms in 2*s**2 - s**2 - 4*s**2 - s**2.
-4*s**2
Collect the terms in -2454*b**2 - 2*b + 227*b**2 + | {
"pile_set_name": "DM Mathematics"
} |
m + 190853079?
60*m**3 + 1458*m - 6690
What is the derivative of 93061*g**2 - 49*g - 3603534?
186122*g - 49
Find the third derivative of -12057745*y**3 - 1108*y**2 - 277*y.
-72346470
What is the second derivative of -345293787*q**4 - 19931254*q - 19 wrt q?
-4143525444*q**2
Find the first derivative of 46231126*k**2 - 81865339.
92462252*k
What is the derivative of 739820500*z**2 + 736577351 wrt z?
1479641000*z
Find the second derivative of 20504*r*w**2 - 11*r*w - 188312*r - 226*w**3 - 2*w wrt w.
41008*r - 1356*w
What is the derivative of -4378056*f**4 + 11358946 wrt f?
-17512224*f**3
What is the second derivative of 355*w**3 - 1431*w**2 - 1163*w - 1544 wrt w?
2130*w - 2862
Find the third derivative of -3*k**2*m**3 + 4*k**2*m**2 + 1247*k**2 - 473109*k*m**3 + 10*k*m**2 + 2*m**2 wrt m.
-18*k**2 - 2838654*k
What is the third derivative of 68*r**5 - 3225*r**4 - 3*r**3 + 205*r**2 + 242*r + 31?
4080*r**2 - 77400*r - 18
What is the third derivative of 184913109*o**6 + 249022320*o**2 wrt o?
22189573080*o**3
What is the second derivative of 2250*s**4 + 2*s**3 - 145*s**2 - 7839535*s?
27000*s**2 + 12*s - 290
Differentiate 57358451*n*v**3 - 10655304*v**3 wrt n.
57358451*v**3
What is the third derivative of -890005822*w**5 - 78079*w**2 - 26*w - 84?
-53400349320*w**2
Find the third derivative of -1022*d**4*p**3 - 58943*d**4*p**2 + 5096*d**2*p + 3*d*p**3 - 519*p**2 - p wrt d.
-24528*d*p**3 - 1414632*d*p**2
What is the second derivative of -7494052*n**2 + 2*n + 55271 wrt n?
-14988104
What is the derivative of -395377829*k + 375399374 wrt k?
-395377829
Find the second derivative of 31996532*f**2 + 29305439*f.
63993064
Find the third derivative of -173195500*f**3 - 73*f**2 + 5544*f + 59 wrt f.
-1039173000
What is the first derivative of -211181346*c*z - 460102133*c wrt z?
-211181346*c
Find the third derivative of 33429509*r**3*w**2 - r**3*w - 703*r**2*w**2 - 673*r**2*w - 17*r**2 - 7*r*w + 2*r + 1 wrt r.
200577054*w**2 - 6*w
Find the first derivative of -y**2 + 4643370*y + 185541606.
-2*y + 4643370
What is the second derivative of -29227452*n**3 - 33037936*n wrt n?
-175364712*n
Find the second derivative of -g**5 + 8944*g**4 + 1574*g**2 + 4550*g - 3057.
-20*g**3 + 107328*g**2 + 3148
What is the third derivative of -239*c**4 - 15616*c**3 - 54*c**2 + 549*c + 5 wrt c?
-5736*c - 93696
Differentiate -1491358069*d**2 - 1240057386.
-2982716138*d
What is the derivative of 228613081*i**4 - 354847604 wrt i?
914452324*i**3
What is the third derivative of 244300061*o**5 - 5*o**2 - 31886421*o wrt o?
14658003660*o**2
What is the derivative of 22452965*i**3 + 9453205?
67358895*i**2
What is the first derivative of -15180227*c**4 - 12681123 wrt c?
-60720908*c**3
What is the third derivative of -49027236*j**3 - 86958871*j**2?
-294163416
What is the second derivative of 49253*m**3*y - 188*m**3 - 1367114*m*y - 8*m wrt m?
295518*m*y - 1128*m
What is the second derivative of 21*g*h**2*r**2 - 2*g*h*r**2 + 68*g*h + 20*g + 741181*h**2*r**2 + 247*h*r**2 - 8*h - r**2 wrt h?
42*g*r**2 + 1482362*r**2
Find the second derivative of 22*c**5 + 11916*c**4*u - 10*c*u - 978*c - 65*u wrt c.
440*c**3 + 142992*c**2*u
Differentiate -25929519*k + 245703004.
-25929519
Find the second derivative of 5253*g**5 + 385*g**4 - 3*g**2 + 44329153*g wrt g.
105060*g**3 + 4620*g**2 - 6
What is the second derivative of -49739489*x**5 - 40*x + 105410?
-994789780*x**3
Differentiate 99668852*u + 137005655.
99668852
What is the second derivative of -22*d*y**3 + 51413*d*y**2 + 14*d*y + 5728750*d - 56*y**2 - y - 2 wrt y?
-132*d*y + 102826*d - 112
What is the second derivative of 1563170*l**3 - 1025*l - 911 wrt l?
9379020*l
Find the second derivative of 25998765*p**4 + 22*p + 341541.
311985180*p**2
Find the second derivative of 8983319*z**2 - 4804*z - 259 wrt z.
17966638
What is the first derivative of -389121580*l**3 + 123087063?
-1167364740*l**2
Find the first derivative of 11968896*k**3 - 4030511 wrt k.
35906688*k**2
Find the third derivative of 280006417*j**3*w**3 - j**2*w**3 + 647*j*w**3 + 2*j*w**2 + j*w + 60*j + 6 wrt j.
1680038502*w**3
What is the third derivative of -50079*x**2*z**3 + 35*x**2*z - 41*x**2 + 264*x*z**2 + 158*z**3 + 2*z**2 wrt z?
-300474*x**2 + 948
What is the second derivative of -1551632*b**3*h*k**2 + 4*b**3*h - 14*b**3*k - 3*b**2*h*k**2 - 5*b**2*h*k + 14*b*h*k - b*k - b - 2*k wrt k?
-3103264*b**3*h - 6*b**2*h
What is the third derivative of -60*p**6 + 2120*p**4 + p**3 + 2*p**2 + p + 552307?
-7200*p**3 + 50880*p + 6
Find the third derivative of 68546683*p**3 - 16*p**2 - 48*p + 6331.
411280098
What is the third derivative of 4*c*s**6 + 2697522*c*s**4 + 11*c*s**2 + 3*c*s - 8*c + 1108*s**2 - 1 wrt s?
480*c*s**3 + 64740528*c*s
What is the first derivative of -6*a**3 - a**2 - 1057613*a - 137762471 wrt a?
-18*a**2 - 2*a - 1057613
What is the third derivative of 14650214*a**3 + 10548977*a**2?
87901284
Find the second derivative of -161344674*k**2*o**2*z + k**2*o**2 + 18*k*o**2*z - 94127*k*o + 3*o**2*z wrt k.
-322689348*o**2*z + 2*o**2
Find the first derivative of 8209771*s + 606766.
8209771
Find the third derivative of 11*g**2*w**3 + 3*g**2*w**2 - 460558*g**2*w - g**2 + 872584*w**3 wrt w.
66*g**2 + 5235504
Differentiate 274042940*y - 365346990 wrt y.
274042940
Differentiate -12473024*v**4 - 2*v**2 - 4275982.
-49892096*v**3 - 4*v
Find the first derivative of -2739341*k**2 + 3*k*t + 4657208*t + 1 wrt k.
-5478682*k + 3*t
Differentiate -4*o**4 - 17902508*o - 3961900 with respect to o.
-16*o**3 - 17902508
Find the third derivative of -204924*q**5 - 1308*q**4 + 52*q**2 + 2*q + 52641 wrt q.
-12295440*q**2 - 31392*q
Find the third derivative of -985011*i*k**4 + 67825*i*k**2 - 283*k**4 - 1671*k wrt k.
-23640264*i*k - 6792*k
What is the first derivative of -311033*g*x + 722469362*g - 173*x wrt x?
-311033*g - 173
Find the third derivative of -40946621*a**3 + 34173*a**2 - 24 wrt a.
-245679726
What is the second derivative of -4537*a*t**2 - 927*a*t - 69*a + 8377*t**2 + 119*t wrt t?
-9074*a + 16754
Differentiate 44*f**2*l - 447*f**2 + 49*f - 15483*l + 555 wrt f.
88*f*l - 894*f + 49
Find the second derivative of -9*h*q**3 + 226179*h*q**2 - 3876*h*q - 14*h - 203 wrt q.
-54*h*q + 452358*h
Find the second derivative of -37569745*o**5 + 64425*o - 164.
-751394900*o**3
Find the second derivative of 18*w**4 + 3*w**3 - 4316659*w**2 + 218902116*w wrt w.
216*w**2 + 18*w - 8633318
What is the second derivative of -88390240*y**2 - 85180521*y wrt y?
-176780480
Differentiate -24533681*w + 113505066.
-24533681
Find the third derivative of -84*j**4 + 252138*j**3 + 815031337*j**2.
-2016*j + 1512828
What is the derivative of 2781943*u**2 + 543686192 wrt u?
5563886*u
What is the third derivative of 2989*i**3*t - 205*i**3 - 1891*i**2*t - 3627*t wrt i?
17934*t - 1230
Find the second derivative of 5138611*r**3 + 5*r**2 + 11678327*r.
30831666*r + 10
What is the second derivative of -276*a**4 - 44*a**3 + 186*a**2 + 171243646*a wrt a?
-3312*a**2 - 264*a + 372
What is the third derivative of 17455193*y**4 + 18968*y**2 - 97*y wrt y?
418924632*y
Differentiate -d*f**2*x + 5707010*d*f**2 - 3856*f**2*x + 14*x with respect to x.
-d*f**2 - 3856*f**2 + 14
Find the second derivative of 9*k*t**4 - 3*k*t - 3*k + 951652*t**4 - 354268*t wrt t.
108*k*t**2 + 11419824*t**2
What is the derivative of a*m**2 + 385069*a*m + 202835*m**2 - m - 3 wrt a?
m**2 + 385069*m
Find the third derivative of 1398443847*r*t**5 - 67*r*t**2 + 3589434*r wrt t.
83906630820*r*t**2
What is the third derivative of 10560945*o*v**3 - 2168*o*v**2 + 239*o + 3*v**2 wrt v?
63365670*o
What is the third derivative of -212036*r**5 - 33*r**3 - 579578*r**2 + 74*r wrt r?
-12722160*r**2 - 198
Find the third derivative of -41354324*a**5 + 2*a**4 + 6*a**3 - 151640707*a**2.
-2481259440*a**2 + 48*a + 36
What is the third derivative of -141*u**5 - 14294*u**4*z - 229*u**2*z - 68*u**2 - 55*u*z wrt u?
-8460*u**2 - 343056*u*z
Find the second derivative of 15762264*n**2 + 1134*n + 1037.
31524528
What is the second derivative of -513293523*x**2 - 14405174*x + 1 wrt x?
-1026587046
Find the first derivative of -56429*u**2 - 79*u + 40049713.
-112858*u - 79
What is the second derivative of 24725247*q**4 - 42600642*q wrt q?
296702964*q**2
Find the first derivative of -8748407*i**2 + 6942998 wrt i.
-17496814*i
Dif | {
"pile_set_name": "DM Mathematics"
} |
te m(-44).
482
Let g(k) = 86164*k + 947802. Determine g(-11).
-2
Let r(m) = -17*m**2 - 730*m - 7888. Calculate r(-21).
-55
Let u(o) = -69*o**2 - 2694*o + 121. Determine u(-39).
238
Let u(j) = 2*j**3 + 1575*j**2 - 17502*j + 6. Calculate u(11).
721
Let g(p) = -16596*p + 663692. Determine g(40).
-148
Let y(h) = h**2 + 2085*h + 99730. Calculate y(-49).
-34
Let v(o) = 85*o + 25995. Calculate v(-306).
-15
Let w(d) = 4*d**2 + 269*d + 372. What is w(-18)?
-3174
Let m(o) = 17*o**2 + 7358*o - 1312. Determine m(-433).
-13
Let v(i) = 2*i**3 - 82*i**2 - 221*i + 84. Calculate v(-3).
-45
Let o(l) = 55733*l - 111459. Determine o(2).
7
Let m(p) = -946*p**2 - 59*p - 3. Give m(-2).
-3669
Let d(z) = z**3 + 1063*z**2 + 812*z - 265509. Give d(-1062).
-9
Let b(k) = -3*k**2 + 89*k - 360. Determine b(9).
198
Let k(x) = 2196*x - 568770. What is k(259)?
-6
Let s(q) = -4970*q + 79524. Calculate s(16).
4
Let q(l) = -14*l**2 + 6174*l + 82635. Determine q(-13).
7
Let b(r) = 3*r**3 - 88*r**2 - 421*r + 29. Calculate b(-5).
-441
Let g(i) = 2*i**3 - 35*i**2 - 706*i + 12073. Determine g(16).
9
Let k(u) = 3*u**2 + 6508*u + 32431. Give k(-5).
-34
Let g(x) = -54*x**2 - 2038*x - 3400. Determine g(-36).
-16
Let j(x) = 2*x**3 - 74*x**2 + 18*x - 1439. Calculate j(39).
5347
Let f(k) = -k**3 - 1467*k**2 - 3271*k - 672. Determine f(-2).
10
Let f(w) = -59615*w + 536532. What is f(9)?
-3
Let p(q) = -1378*q - 5645. What is p(-4)?
-133
Let w(l) = -664*l - 9446. Give w(-15).
514
Let w(b) = 63*b**3 - b**2 - 145*b + 446. Determine w(3).
1703
Let u(t) = -110903*t + 664881. Determine u(6).
-537
Let b(j) = -160*j - 5759. What is b(-32)?
-639
Let d(j) = -28*j**2 - 164*j + 27. Calculate d(-6).
3
Let z(i) = 22*i**2 + 239*i - 963. What is z(-15)?
402
Let d(s) = -28938*s + 1041751. What is d(36)?
-17
Let g(u) = -223*u - 16263. Calculate g(-73).
16
Let f(y) = y**3 - 210*y**2 - 2389*y + 416578. What is f(212)?
-2
Let o(n) = 22742*n + 45289. Give o(-2).
-195
Let h(m) = -2*m**3 + 38*m**2 + 72*m - 1436. Give h(18).
508
Let t(h) = 14*h**2 - 278*h + 99. Give t(19).
-129
Let u(r) = -436711*r + 3056984. Give u(7).
7
Let x(y) = 299*y - 3618. Calculate x(11).
-329
Let s(z) = z**2 + 2018*z + 370032. What is s(-204)?
-24
Let f(i) = i**2 - 23625*i + 7641422. What is f(328)?
6
Let t(h) = -58092*h + 8365240. Give t(144).
-8
Let j(t) = -3*t**2 + 269*t - 1166. Calculate j(81).
940
Let l(j) = 62810*j + 502485. Calculate l(-8).
5
Let s(f) = -21*f**3 - f**2 + 2*f + 30. Calculate s(-3).
582
Let p(n) = 722*n + 16170. Calculate p(-22).
286
Let i(j) = 462806*j - 462701. Give i(1).
105
Let z(j) = -2631*j + 323613. Calculate z(123).
0
Let k(u) = -51*u**3 - 1987*u**2 + 114*u + 1390. What is k(-39)?
-14
Let m(w) = -13*w**2 + 7039*w + 119972. Determine m(558).
2
Let i(m) = -m**2 + 953*m - 34043. Give i(37).
-151
Let x(g) = -g**3 + 7*g**2 - 187*g + 1034. Determine x(6).
-52
Let w(g) = 53*g**3 - 25*g**2 - 11*g + 19. Calculate w(2).
321
Let o(x) = x**2 + 4061*x - 614224. Calculate o(146).
-2
Let i(k) = -659*k + 7279. Determine i(11).
30
Let u(m) = -113*m**2 + 638*m + 3. What is u(6)?
-237
Let z(m) = m**3 - 33*m**2 + 1991*m - 68842. Calculate z(34).
8
Let n(t) = 7314*t - 51329. What is n(7)?
-131
Let m(s) = -4840*s + 580895. Calculate m(120).
95
Let o(a) = -62013*a - 2728583. Determine o(-44).
-11
Let y(b) = 6*b**3 - 283*b**2 + 335*b - 630. Determine y(46).
-32
Let i(s) = 6080*s + 12763. Determine i(-2).
603
Let d(n) = -n**2 - 7*n + 10407. Give d(-104).
319
Let p(h) = -3*h**3 + 467*h**2 - 534*h + 35404. Determine p(155).
684
Let r(n) = -8*n**2 - 711*n + 192. Give r(-89).
103
Let x(u) = 40255*u - 201301. Calculate x(5).
-26
Let j(s) = -s**2 - 84410*s + 1519716. Determine j(18).
12
Let n(k) = k**2 - 478*k + 2914. What is n(6)?
82
Let a(k) = -11509*k + 1208506. Calculate a(105).
61
Let k(v) = 12*v**3 + 11*v**2 - 342*v - 64. Calculate k(5).
1
Let t(i) = -10*i**2 + 503*i - 416. What is t(50)?
-266
Let c(p) = 34651*p + 277275. Give c(-8).
67
Let c(g) = -4325*g**2 - 8657*g - 10. Determine c(-2).
4
Let h(n) = -n**3 + 16*n**2 - 45*n + 767. Calculate h(16).
47
Let o(b) = 916*b - 567923. Give o(620).
-3
Let h(u) = -1385*u + 5662. Give h(3).
1507
Let k(u) = 7*u**2 + 180*u - 1678. Give k(-33).
5
Let v(x) = 2*x**2 + 40711*x + 203499. Calculate v(-5).
-6
Let c(b) = -b**3 - 69*b**2 - 893*b - 488. Determine c(-52).
-20
Let d(y) = 570*y + 25194. Calculate d(-44).
114
Let s(h) = -h**2 - 520210*h + 6242667. What is s(12)?
3
Let s(k) = 226563*k + 1359363. Determine s(-6).
-15
Let i(f) = -f**3 + 21*f**2 - f + 698. Give i(21).
677
Let w(q) = -2*q**2 + 156*q + 2995. Calculate w(-16).
-13
Let x(v) = -17*v**2 - 531*v - 2960. Give x(-24).
-8
Let m(p) = -1459*p + 8766. Calculate m(6).
12
Let u(r) = -24*r**2 + 1777*r + 664. What is u(73)?
2489
Let x(d) = d**2 + 16226*d + 6021465. Determine x(-380).
-15
Let a(m) = -m**2 - 185*m - 8545. Give a(-88).
-9
Let d(h) = -24*h**3 + 100*h**2 - 731*h + 2895. What is d(4)?
35
Let t(w) = -2*w**3 + 52*w**2 - 387*w + 55. Determine t(6).
-827
Let m(y) = -3*y**2 + 6512*y + 1690724. Calculate m(2405).
9
Let x(o) = -9*o**3 - 710*o**2 + 55*o - 1903. Give x(-79).
-7
Let c(z) = 7*z**2 - 24360*z - 24355. Calculate c(-1).
12
Let c(x) = -6628*x + 39774. What is c(6)?
6
Let n(g) = -g**3 + 235*g**2 - 2236*g - 160. What is n(10)?
-20
Let i(t) = 276*t - 868. Determine i(-6).
-2524
Let x(i) = 6*i**3 + 15*i**2 + 59*i - 3. Determine x(-3).
-207
Let p(t) = -1320*t - 282482. Give p(-214).
-2
Let o(q) = -1995*q + 682284. What is o(342)?
-6
Let f(w) = w**3 - 15*w**2 - 80*w - 30. What is f(0)?
-30
Let b(q) = -1966*q + 114257. Calculate b(58).
229
Let w(h) = h**3 - 131*h**2 - 24*h + 3250. Determine w(131).
106
Let k(m) = -21*m**2 - 12565*m + 75357. What is k(6)?
-789
Let b(y) = -8*y**3 + 135*y**2 - 659*y - 6. Calculate b(5).
-926
Let p(d) = d**3 - 752*d**2 - 30015*d + 143. Determine p(-38).
-47
Let x(v) = v**3 + 13*v**2 + 2585*v + 36448. What is x(-14)?
62
Let y(a) = -141212*a + 423652. What is y(3)?
16
Let m(d) = 5*d**2 - 220*d + 2189. Determine m(43).
1974
Let j(b) = 26*b**2 + 2003*b + 37789. What is j(-33)?
4
Let f(t) = 1581*t - 32328. What is f(20)?
-708
Let i(t) = 3*t**2 - 2228*t - 3048919. What is i(-703)?
-8
Let m(o) = 16*o**3 + 3*o**2 - 127*o + 357. What is m(6)?
3159
Let k(z) = 10*z**2 + 203*z + 1423. Determine k(-7).
492
Let p(y) = -12201*y + 73339. Calculate p(6).
133
Let g(t) = t**2 + 1567*t - 15760. Determine g(10).
10
Let l(m) = m**3 - 120*m**2 + 987*m - 10181. Determine l(112).
11
Let p(g) = 32*g**3 + 73*g**2 + 142*g + 294. Calculate p(-2).
46
Let g(v) = -103*v + 1961. Determine g(19).
4
Let k(b) = 3*b**2 - 281*b - 83210. Determine k(-126).
-176
Let w(p) = 15*p - 597. Give w(38).
-27
Let s(i) = -3*i**2 + 419*i + 3950. What is s(-9)?
-64
Let q(i) = 366*i + 3264. Give q(-9).
-30
Let b(d) = -15*d**2 + 220*d + 12. Calculate b(11).
617
Let d(f) = 3628*f + 1110152. Determine d(-306).
-16
Let p(m) = 170*m + 10981. Calculate p(-62).
441
Let d(z) = 21078*z - 106294. What is d(5)?
-904
Let f(y) = 27*y**2 + 84*y - 552. Calculate f(7).
1359
Let p(u) = -57*u**2 - 65*u + 131. What is p(2)?
-227
Let v(j) = 15*j**3 + 3570*j**2 - 189*j - 44978. What is v(-238)?
4
Let i(c) = 4*c**3 - 287*c**2 + 38*c - 8387. What is i(72)?
-467
Let h(n) = -123*n**2 + 9*n - 53. Calculate h(3).
-1133
Let m(v) = -73*v**2 - 604*v - 1757. What is m(-3)?
-602
Let n(q) = 34*q**2 + 509*q + 882. Calculate n(-2).
0
Let k(y) = y**3 - 4*y**2 + 65576*y - 196724. What is k(3)?
-5
Let p(n) = n**3 - 56*n**2 + 406*n + 329. Determine p(48).
1385
Let p(m) = -986*m - 12627. Determine p(-13).
191
Let y(f) = 6*f**3 - 64*f**2 + 162*f - 1223. Give y(10).
-3
Let i(g) = -2*g**3 + 417*g**2 + 163*g + 9624. What is i(209)?
10
Let f(c) = 6*c**2 - 372*c + 1059. What is f(3)?
-3
Let u(q) = 640603*q - 640597. Give u(1).
6
Let k(q) = -q**2 + 2311*q + 30232. Give k(-13).
20
Let h(y) = y**2 + 792*y - 7207. Give h(-801).
2
Let n(h) = 3*h**3 + 5*h**2 + 39*h - 16. What is n(6)?
1046
Let b(l) = -258*l - 6531. Give b(-20).
-1371
Let a(h) = -2952*h**2 + 14779*h - 9. What is a(5)?
86
Let v(s) = s**3 - 1488*s**2 + 80285*s - 133179. Calculate v(1432).
-3
Let r(l) = 20*l**3 - 4517*l**2 + 377*l - 238424. Calculate r(226).
6
Let y(g) = -13214*g + 2404947. Calculate y(182).
-1
Let f(t) = 5599*t - 470555. What is f(84 | {
"pile_set_name": "DM Mathematics"
} |
(-4)/(-6))/((-216)/(-1782)).
1/2
What is the value of ((-9)/(-45)*-5)/(-19)?
1/19
2/4*-2 + 1*-4
-5
What is (-11 - (-520)/50)/((-2)/20)?
6
What is the value of -4 - 3 - -7 - -4?
4
What is the value of ((-84)/(-119))/(-6) + 74/(-238)?
-3/7
Evaluate 10/(-2) - (-8 - (0 - 4)).
-1
Calculate 0 - 6/4*(2 - 0).
-3
Evaluate (-3)/12*24/18.
-1/3
What is 2/10 - 3168/(-360)?
9
Evaluate 2/(3/3)*1/(-7).
-2/7
Calculate ((-4)/(80/(-15)))/3.
1/4
What is the value of (12/15)/((-108)/(-81))?
3/5
Evaluate (13/(-39))/(56/(-42)).
1/4
6/(-15)*(-150)/(-45)
-4/3
What is 20/(-150)*-5 - (-16)/(-42)?
2/7
Evaluate -10 + 885/90 - 43/(-6).
7
What is 2/2 - ((-96)/(-20) + -4)?
1/5
Evaluate 8 - ((-664)/(-48) + -6).
1/6
What is -265*(-9)/180 - 13?
1/4
Evaluate ((-539)/55 - -9)*-10.
8
Calculate -7 - -5 - -24*2/22.
2/11
Evaluate 1*(1 - 0) + 13 + -7.
7
What is (0/(-28))/(0 - -2)?
0
What is the value of (93/155)/(6/40)?
4
(-9 - 0)*(-2 - 69/(-36))
3/4
Calculate -5 - (92/14)/((-297)/231).
1/9
What is 4 - (8 + 774/(-189))?
2/21
((-46)/(-8) - 6)*(-2 - 2)
1
What is ((-34)/30 + 1)*1005/(-670)?
1/5
Evaluate (5/((-45)/(-2)))/((-36)/18).
-1/9
What is the value of (-126)/252 - (-1)/(-4)*-2?
0
(1 - 3)*7/(560/12)
-3/10
What is 0 + 0 + 32/8?
4
What is the value of (-56)/10 - 18/45?
-6
Calculate -6 + -3 - (0 - 14).
5
Evaluate 2/(-17) + (1905/(-425) - -5).
2/5
Evaluate -1*((-16)/1)/4.
4
What is the value of (4/3)/(11/(-33))?
-4
What is the value of -1*(-5)/(-20)*-20?
5
1/(-20) - 2/(-8)
1/5
What is (10/45)/(2/(-3) + 0)?
-1/3
Evaluate 8/12 - (-3 - -3 - -1).
-1/3
Evaluate (19/2)/(145/58) - 4.
-1/5
(4/(-3))/((-8)/(-12))
-2
What is the value of ((-2)/3)/(34/(-102))?
2
Evaluate (-24)/4 + (-540)/(-63) + -3.
-3/7
What is (-2)/(-5*((-52)/(-30))/13)?
3
What is ((-6)/(-54))/(230/60 + -4)?
-2/3
What is the value of 5*1/(-75)*6?
-2/5
Evaluate 6/(-45) + (-348)/90.
-4
Evaluate -9 + 6 - 20/(-4).
2
What is the value of ((-18)/(-27))/(1 + (-11)/6)?
-4/5
What is 4/(-9)*(-9)/2?
2
What is the value of 6 + 2 - (-2430)/(-315)?
2/7
Evaluate (-144)/(-352) - 2/4.
-1/11
Evaluate (-15)/4*(-2 - -11)/(-27).
5/4
Calculate (-708)/(-590)*(-2)/(-3).
4/5
What is the value of ((-144)/10)/(-8) + (-2 - -1)?
4/5
Evaluate (33/(-33))/((-2)/12).
6
What is 91/(-56)*2 + (-4)/(-2)?
-5/4
What is the value of -1 + 72/56 - (-2)/(-7)?
0
What is the value of 15/125*(-15)/(-18)?
1/10
Evaluate (-1)/(8/(5 + 3)).
-1
What is (-390)/(-20) + -11 + -7?
3/2
(4/32)/((-1)/(-2))
1/4
Calculate (0/(-2))/((-12)/6).
0
Evaluate 39/(-52) - (-2)/(8/19).
4
Evaluate 30/(-9) - -5 - 2/1.
-1/3
4/20 + 28/10 + -1
2
What is the value of (5/(-15))/((-4)/48)?
4
(-1)/10*2/(-6)*5
1/6
What is 2/9 + (-4)/(-36)?
1/3
Evaluate 140/56*32/10.
8
Calculate (-6)/(7/(-14)*12).
1
Calculate 1 - 10 - (-2666)/310.
-2/5
5 + (0 + (-6)/12)*14
-2
What is the value of ((-13)/(-273))/(2/(-12))?
-2/7
What is the value of (2/(-7))/(5/(-10)*-1)?
-4/7
What is 2*2 + (-3 - (13 - 9))?
-3
What is (-3 + 2 - -3) + -4?
-2
What is ((-2)/(-5))/(25/(-125))?
-2
What is (-2)/57 + 1580/12540?
1/11
(-12)/(-30) - 19/180*3
1/12
Evaluate (-7 - (-246)/36) + 2/(-12).
-1/3
Calculate 8/32 + (-34)/40.
-3/5
29/(-4) + (-486)/(-216)
-5
What is the value of (-9)/(-24) - (-7020)/(-9504)?
-4/11
(-9)/(-10)*((-153)/(-27) - 4)
3/2
Calculate -1*2 - (6 - 161/21).
-1/3
What is the value of (-5)/26*24/(-30)?
2/13
Calculate 5/((-5)/((-20)/4)).
5
((-1)/2 + -3 - -3)/1
-1/2
Calculate 22/(-5) - 2/(-5).
-4
1 + -1*1 + (-284)/(-710)
2/5
What is ((-17)/(510/12))/1?
-2/5
(-10)/6 - (158/(-30) - -3)
3/5
318/(-424) - (-2)/4
-1/4
What is the value of (3 + (-36)/8)/(12/(-16))?
2
Evaluate ((-6)/(-4) + 1)/((-11)/22).
-5
Evaluate 18/(-5) - (54/18 - 6).
-3/5
What is (-1677)/273 + (-1)/(-7)?
-6
Calculate 28/154 + 6/22*3.
1
What is the value of -3 + (18/4 - 0)?
3/2
What is 3*-2*(-8)/(-16) - 3?
-6
Calculate (10/(-6) + 288/108)*5.
5
(-2)/39 + (-14445)/26325
-3/5
Calculate -5 - (-9 - 5 - -6).
3
Calculate (-28)/(-16) - (-39)/(-52).
1
What is (9 + 38/(-4))/((-3)/(-3))?
-1/2
-1 - 132/121*9/(-12)
-2/11
What is the value of 242/(-132) - (-1)/3?
-3/2
What is 2*((-28)/(-8) + -4)*-3?
3
Calculate (-2)/(-6)*(-156)/(-52).
1
What is (3/(-12))/(20/(-6) - -3)?
3/4
((-624)/306 - -2)/((-2)/6)
2/17
Calculate 51/102 + (-2)/4.
0
What is the value of (-8 - -6)/((1/(-3))/1)?
6
Evaluate (95/(-342))/((-15)/(-12)).
-2/9
Evaluate (6 - 189/24) + 2.
1/8
3/(-2) - -1 - 171/(-38)
4
Evaluate (105/84)/((-2)/8).
-5
Calculate ((-99)/21 + 5)*7/(-4).
-1/2
(-12)/(-30) + 0 + (0 - 0)
2/5
What is the value of (1 - (-11 - -11))/(1 + 0)?
1
Evaluate 5/60*39 - 3.
1/4
What is the value of 4/6 - (-7)/21?
1
(5/(-6))/((-4)/(-8))
-5/3
What is the value of -4 + 126/(-31) + (-168)/(-21)?
-2/31
What is the value of 5 - -5*4/(-5)?
1
What is the value of (72/540)/(4/(-5)) + 0?
-1/6
Evaluate 1 + -7 - (-7 + (-169)/(-195)).
2/15
What is the value of 8/(-22)*(-3)/6?
2/11
What is -4*((-2)/(-4))/((-4)/12)?
6
(-9)/(-108)*107 + -9
-1/12
What is (-1 + (-143)/(-26))*(-2)/(-6)?
3/2
3/(-2)*(133/(-21) + 6)
1/2
(9/2 - 4)*(-34)/187
-1/11
Calculate (-75)/30 - 2/(-4).
-2
What is 0 + -10 + 901/106?
-3/2
What is the value of 272/(-72) - (-4)/1?
2/9
What is the value of 87/145 - ((-12)/5 + 0)?
3
Evaluate (-1*9/6)/((-95)/(-38)).
-3/5
((-1)/3*-2)/(13/(-39))
-2
Calculate (1944/(-330))/(-6) + 4/(-5).
2/11
Evaluate (12/9*(-1)/2)/(-2).
1/3
Evaluate 9/3 + (-70)/22.
-2/11
What is the value of 17/(1224/(-60))*1/(-5)?
1/6
2/(-1) + (-32)/(-12)
2/3
What is (-12)/(-16)*(-6)/9*1?
-1/2
(-6)/20 + (-38)/190
-1/2
What is the value of ((-1)/((-15)/(-2)))/(1/3)?
-2/5
Calculate (24/(-16))/(3*(-1)/(-8)).
-4
Evaluate (186/620)/(-2 - 2/(-10)).
-1/6
Calculate (-14)/70 + (-1)/(-15).
-2/15
What is the value of (140/(-42))/(-1 - (-20)/12)?
-5
Evaluate (-18)/5 + 16/10.
-2
What is the value of -1*(0 + -3 - (2 - 8))?
-3
What is the value of 28/(-11) + (-24)/(-12)?
-6/11
What is (1 - -1)*(-3 + 66/21)?
2/7
What is (16/(-3))/(-2)*9/6?
4
What is the value of (-3 + 7/3)*(-3)/1?
2
What is the value of 22/253 - 1/(23/(-136))?
6
What is the value of -10*(-1)/(-9 + 11)?
5
What is the value of -1 - (96/(-10))/8?
1/5
What is the value of -8 + 12/264*178?
1/11
Calculate ((-1)/5)/(840/75 - 12).
1/4
-1 + 5 + 14 + -14
4
Calculate (-3 + 1)*2 - 0/(-152).
-4
Calculate 3/((-441)/6*(-6)/14).
2/21
Calculate (-969)/(-3060) + (-1)/(-12).
2/5
Calculate (-2 - (-1)/2)*4/45.
-2/15
((4/7)/2)/(57/(-1197))
-6
What is -1*2/4 + (-2)/4?
-1
Evaluate (-10 + 11)*-1*(-1)/(-6).
-1/6
2/(-11 + 0 + 7)
-1/2
What is 8/((-48)/9)*-2?
3
(-207)/46*4/42
-3/7
Calculate 12/(-165)*(105/(-10) - -3).
6/11
Calculate ((-1)/4)/((-340)/(-160) - 3).
2/7
Calculate ((-13)/(312/64))/(4/(-6)).
4
Evaluate 4 - 9/((-36)/(-10)).
3/2
Calculate 1/((-3)/(-10)) - 4.
-2/3
Evaluate (-64)/(-160)*(-30)/28.
-3/7
What is 9/4 + (-12)/48?
2
What is the value of (31 + -29)*1/(-5)?
-2/5
(-4 - (-5 + -1))/((-1)/2)
-4
-5 - (-19 - -12) - (3 - 5)
4
What is the value of ((-22)/66)/(0 - -1)?
-1/3
(-6)/((2/(-12))/((-3)/27))
-4
Calculate (-10)/36*(-117)/(-195).
-1/6
Calculate 4588/496 - (-10)/(-8).
8
What is the value of (-8 - -8)/(-4 - -9)?
0
Evaluate (1 - 21/(-15))*10/(-4).
-6
Calculate (-12)/((0 + -24)/8).
4
(-417)/54 + 8 + 1/(-2)
-2/9
What is the value of 7*(-2 - (-90)/35)?
4
(18/80)/(2/(50/15))
3/8
What is the value of 2 - 3 - 1 - (5 + -1)?
-6
What is (0/1)/((-4)/(-12)*-6)?
0
((-72)/84)/((-6)/(-21))
-3
What is the value of (-2)/6*(-1 + (2 - -1))?
-2/3
1/(-7)*((1 - -6) + -4)
-3/7
Evaluate (54/12 - (3 + -2))*-2.
-7
(-13)/156 + (-9)/(-12)
2/3
What is (-7 - -7)*(-2)/(-14)?
0
What is 3/((-210)/(-13)) + 14/(-49)?
-1/10
Calculate -11 + 9/(9/4) - -6.
-1
(-3)/3*(-3 - 0)
3
What is the value of 82/20 + (-4 - 0)?
1/10
1*8/(-4) - (-33 - -39)
-8
What is the value of 49/(-14)*12/(-21)?
2
What is the value of ((-4)/(-6))/(53/3 - 21)?
-1/5
Calculate -4 + 3 + 0 - -1.
0
(7 - 6 - -4) + -4
1
What is the value of 136/(-42) + 4 - (-1)/(-3)?
3/7
(1 - 5)/((-8 - -3)/(-5))
-4
Calculate 1/(((-3)/(-9))/1).
3
What is 1 + 12/((-20)/(-5))?
4
What is the value of (-16)/36*3/6?
-2/9
(((-28)/(-32))/(-7))/(6/(-48))
1
765/105 - 2/7
7
9/12 + (-18)/56
3/7
Evaluate 2 - (-2 - 25/(-5)).
-1
(-12)/32*2/3
-1/4
What is (-82)/12 + -5*(-10)/(-300)?
-7
2/(-3)*-3 + 136/68
4
What is the value of 16/72 + 4/(-18)?
0
What is the value of (-9)/(-20)*(242/33)/11?
3/10
(0 - (-2)/5)/((-798)/570)
-2 | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of -202*h**5 - 2*h**2 - 133 wrt h.
-12120*h**2
What is the derivative of -a**4 - 570*a**3 + 3781?
-4*a**3 - 1710*a**2
Find the second derivative of -220*x**4 - 172*x - 1.
-2640*x**2
Find the second derivative of 30*w**4 + 3*w**3 - 21*w**2 - w - 273 wrt w.
360*w**2 + 18*w - 42
Differentiate 3*f*g**3*z + 4*f*z**2 + 3*g**3*z**2 + g**3 + 8*g**2*z**2 with respect to f.
3*g**3*z + 4*z**2
What is the third derivative of -2583*g**4 - 59*g**2 - 8*g wrt g?
-61992*g
Find the third derivative of -6980*w**4 + 1533*w**2 - 1.
-167520*w
What is the third derivative of -9*p**6 - 81*p**4 + 4*p**2 - 485*p wrt p?
-1080*p**3 - 1944*p
Find the third derivative of 3658*y**3 + 4939*y**2 wrt y.
21948
Find the third derivative of -60*l**4 + 60*l**2 - 4*l.
-1440*l
What is the second derivative of 195*n**3 + 434*n?
1170*n
What is the first derivative of c**2*g*u**3 + 95*c**2*u**3 - 2*c**2 + 5*c*g*u**3 - 2*g*u**3 wrt g?
c**2*u**3 + 5*c*u**3 - 2*u**3
Differentiate -5*c*j + 1305*c + 2*j**4 - 49*j wrt j.
-5*c + 8*j**3 - 49
What is the third derivative of 227*r*x**3 + 5*r*x**2 + 36*r*x + 7*x**3 + 4*x wrt x?
1362*r + 42
Differentiate -24*b*j*q - 181*b*q**2*u + 25*j*q**2*u + 14*j*q + 20*q**2*u wrt b.
-24*j*q - 181*q**2*u
What is the first derivative of -n**3*u**2 + 37*n**3 - 37*n**2*u**4 wrt u?
-2*n**3*u - 148*n**2*u**3
Find the second derivative of -43*j**4 - 142*j.
-516*j**2
Find the second derivative of 3*t**2*v*y + 20*t**2*v + 9*t**2 - 136*t*v*y + 2*t*v + 4*t + v*y wrt t.
6*v*y + 40*v + 18
Differentiate -14*h*k**3 + 2*h*k*q + 29*h*q + 91*k**3 + 139*k*q with respect to h.
-14*k**3 + 2*k*q + 29*q
Find the third derivative of -3*g**5 + 23*g**4 + 238*g**2 + 2*g wrt g.
-180*g**2 + 552*g
What is the second derivative of 143*m**3*q**4 + 2*m**3*q - 3*m**2*q - m*q**4 + 7*m wrt q?
1716*m**3*q**2 - 12*m*q**2
Find the third derivative of -880*f**3 - 20*f**2 + 2*f wrt f.
-5280
Find the first derivative of 2*c**3*z**2 + 12*c**2*z**2 + 39*c + z**2 + 150*z wrt c.
6*c**2*z**2 + 24*c*z**2 + 39
What is the second derivative of -275*y**2 - 615*y?
-550
Find the third derivative of -12331*v**5 + 11*v**2 - 508*v wrt v.
-739860*v**2
Differentiate -242*l*x**2 - 2*l*x - 89*x**2 wrt l.
-242*x**2 - 2*x
What is the second derivative of 10133*y**5 - 3*y - 89?
202660*y**3
Find the third derivative of -667*k**4 + 2*k**2 - 15*k.
-16008*k
What is the derivative of -1350*b - 1275 wrt b?
-1350
What is the third derivative of -94*g**3*h**3 - 9*g**3*h**2 - 5*g**3 + 3*g + 3*h**3 wrt h?
-564*g**3 + 18
Find the second derivative of p**3*v*w - 2*p**3*v - 7*p**3*w**5 - 2*v*w**2 + 4*v*w + w**5 - 1 wrt w.
-140*p**3*w**3 - 4*v + 20*w**3
What is the second derivative of -c**2*n**2*t - 2*c**2*n*t**3*z + 13*c**2*t**3 + 23*c**2 - c*n**2*z + 1376*n**2*t**3 wrt n?
-2*c**2*t - 2*c*z + 2752*t**3
What is the third derivative of d**4 - 30*d**3 + d**2 - 70*d?
24*d - 180
What is the third derivative of 349*g**3*x + 3*g**3 - 136*g**2*x + 3*g**2 wrt g?
2094*x + 18
What is the third derivative of 370*b**4 + 2*b**3 + 376*b**2 wrt b?
8880*b + 12
What is the second derivative of -163*i**4*z**3 - i**2*z**3 - 232*i*z**3 + i*z wrt i?
-1956*i**2*z**3 - 2*z**3
What is the second derivative of 97*g**2*p**3 - 8*g**2*p**2 - 4*g**2*p - 628*g**2 wrt p?
582*g**2*p - 16*g**2
Find the second derivative of 2*g**3 + 565*g**2 + 3*g + 380 wrt g.
12*g + 1130
Find the second derivative of 7*f**2*v**4 + 10*f**2*v**2 + f**2 - 269*f*v - v**3 wrt v.
84*f**2*v**2 + 20*f**2 - 6*v
What is the second derivative of -102*l**5*w**2 + l**5 - 22*l*w - l + w**2 wrt l?
-2040*l**3*w**2 + 20*l**3
Find the second derivative of -13*t**2*y**2 - 1229*t**2 + 83*t*y**3 + t*y**2 + t*y wrt y.
-26*t**2 + 498*t*y + 2*t
Differentiate 5*i**2*s**2 + 649*i*s**2 - 8*s**2 - 388 with respect to i.
10*i*s**2 + 649*s**2
Find the second derivative of 2*b**2*o*s + 34*b**2*s**3 - 5*b**2*s**2 - 35*b*o*s**3 + b*o - 7*s**3 wrt b.
4*o*s + 68*s**3 - 10*s**2
What is the first derivative of -25*i**3*m + 2*i**3 - 4*m**2 - 37 wrt m?
-25*i**3 - 8*m
Find the first derivative of -14*b*t - 216*b - 6*t**3 wrt t.
-14*b - 18*t**2
Find the second derivative of 572*k**2 + 16*k + 4 wrt k.
1144
What is the derivative of -6*f*m**2 + 2*f*m + 5*f - 3*m**2 + 2 wrt m?
-12*f*m + 2*f - 6*m
Find the second derivative of 2*g*t**5 + 102*g*t**3 - g*t**2 + g + 6*t + 122 wrt t.
40*g*t**3 + 612*g*t - 2*g
Find the third derivative of -8*l*x**6 - 7*l + 7*x**6 + 26*x**2 wrt x.
-960*l*x**3 + 840*x**3
Find the first derivative of 84*m**3*r + 106*m**3 + 2*m**2*r - m**2 - 35*r + 10 wrt r.
84*m**3 + 2*m**2 - 35
What is the third derivative of 4100*w**3 - 2959*w**2 wrt w?
24600
What is the third derivative of b*c*p**2*t - 4*b*c*p**2 + 3*b*c*p - 8*b*p**3*t + 12*c*p**3*t + 2*c*p**2*t - 16*c*p*t + p**3*t wrt p?
-48*b*t + 72*c*t + 6*t
Find the third derivative of 17*u**2*y**3 - 2*u**2*y + u*y**3 + 205*u*y**2 wrt y.
102*u**2 + 6*u
Find the third derivative of -c**4 - 12*c**3 - 32*c**2 - 4.
-24*c - 72
What is the third derivative of -50*h**3*t**3 + 185*h**3*t**2 + 3*h**2*t**3 - h**2*t**2 wrt t?
-300*h**3 + 18*h**2
What is the second derivative of 5*b**3*k**2*z - 5*b**3*k*z - b**3*k - 6*b**2*k**2*z + 3*b*k*z wrt k?
10*b**3*z - 12*b**2*z
What is the derivative of -6*a*d**2*f*x**2 + 8*a*d**2*x**2 + 6*a*d - 139*d**2*f + 13*d**2*x**2 wrt f?
-6*a*d**2*x**2 - 139*d**2
What is the third derivative of -4377*h**4 + 51*h**2 + 3*h - 12 wrt h?
-105048*h
What is the third derivative of 2*q*t**6 + 98*q*t**3 + 374*q + 2*t**2 wrt t?
240*q*t**3 + 588*q
Find the first derivative of 2*x**4 - 854*x**2 - 2409 wrt x.
8*x**3 - 1708*x
Find the third derivative of o**2*u**3 - 2*o**2*u**2 - 629*o - 57*u**3 wrt u.
6*o**2 - 342
What is the third derivative of -386*h**6*p**3 - 5*h**2*p**3 - h**2*p wrt h?
-46320*h**3*p**3
Find the third derivative of -92*p**6*u**2 - 3*p**3*u**3 - p**3 + 22*p**2 + 16*p*u**3 wrt p.
-11040*p**3*u**2 - 18*u**3 - 6
What is the second derivative of -3*f*l**3 - 6*f*l + 2*f - 258*l**3 - 2*l**2 - 8*l wrt l?
-18*f*l - 1548*l - 4
Differentiate n**2*t - n*t**2 - 4*n*t + 2*n - 3*t**2 - 691*t with respect to n.
2*n*t - t**2 - 4*t + 2
What is the second derivative of 5831*f**5 - 2*f**2*t**2 + 79*f*t + t**2 + 10 wrt f?
116620*f**3 - 4*t**2
What is the second derivative of 3*d**4 - 2*d**3*z - 7*d**2*z**2 - 11232*d*z**2 wrt d?
36*d**2 - 12*d*z - 14*z**2
Find the second derivative of 11*u**4*v + u**2*v + u*v - u wrt u.
132*u**2*v + 2*v
Differentiate -155*r**3 + r + 569 with respect to r.
-465*r**2 + 1
What is the third derivative of -1602*f**5 - 2*f**4 - f**3 - 177*f**2 + 3*f + 3?
-96120*f**2 - 48*f - 6
Differentiate -7358*h - 12503.
-7358
What is the third derivative of -1767*v**4 - 1773*v**2 - 2*v?
-42408*v
What is the third derivative of -t**4 - 2390*t**3 + 107*t**2?
-24*t - 14340
Find the third derivative of 375*p**3*r**3 - 18*p**2 + 8*p*r**3 - 4*r**3 wrt p.
2250*r**3
What is the third derivative of -48*h*t**4 + 150*h*t**3 + 41*h*t**2 + 2*h*t + 38*h + 2*t wrt t?
-1152*h*t + 900*h
What is the second derivative of a**3*w**3 + 14*a**3*w**2 - a**3*w - 58*a**3 - 8*a**2*w wrt w?
6*a**3*w + 28*a**3
Find the third derivative of -7*o**6 - 29*o**5 + 316*o**2 + o wrt o.
-840*o**3 - 1740*o**2
Find the first derivative of 85*f + 448.
85
What is the third derivative of -169*s**3 - 126*s**2?
-1014
What is the second derivative of 98*i**3*p**3 + i**3*p + 2*i**2*p**5 + 1966*i**2*p wrt p?
588*i**3*p + 40*i**2*p**3
What is the third derivative of l**3*s**3 - 3*l**3 + 6*l**2*s**2 - 5*l*s + 316*s**3 wrt s?
6*l**3 + 1896
What is the third derivative of -2545*j**3*t**2 + j**2 + 6*j*t + 19*t**2 wrt j?
-15270*t**2
Find the first derivative of 118*r + 182.
118
What is the second derivative of 2*d**3*y**4 + 112*d**3*y**2 - 27*d**3 + 2*d*y wrt y?
24*d**3*y**2 + 224*d**3
What is the second derivative of -363*o**5 - 4*o**4*w**2 + 36*o*w**2 + 20*w**2 wrt o?
-7260*o**3 - 48*o**2*w**2
What is the third derivative of -60*r**4 + 516*r**2?
-1440*r
What is the second derivative of 7759*i**3 - 6414*i wrt i?
46554*i
Differentiate 510*a + 963.
510
Differentiate 10651*t**2 + 17718 with respect to t.
21302*t
Find the third derivative of -48*f**3*g**2*k**3 + 5*f**3*q**3 - f**2*g**2*k**2 - 2*f**2*g*k**2*q**3 - 2*f**2*g*q**2 + 2*f*k**3*q wrt f.
-288*g**2*k**3 + 30*q**3
Find | {
"pile_set_name": "DM Mathematics"
} |
many millilitres are there in 3/8 of a litre?
375
How many microseconds are there in seven quarters of a millisecond?
1750
Convert 622051.2 micrometers to kilometers.
0.0006220512
What is 1/30 of a hour in minutes?
2
Convert 7.563125 hours to microseconds.
27227250000
How many millilitres are there in 7/2 of a litre?
3500
Convert 502528.2 milliseconds to seconds.
502.5282
What is 25.60442 microseconds in seconds?
0.00002560442
How many years are there in thirteen quarters of a century?
325
How many grams are there in 23627.31mg?
23.62731
How many millilitres are there in 6/25 of a litre?
240
How many decades are there in seventeen quarters of a millennium?
425
How many millilitres are there in one quarter of a litre?
250
How many kilometers are there in 93380.98cm?
0.9338098
What is 603.78493 days in weeks?
86.25499
What is 75.63783 micrograms in nanograms?
75637.83
How many meters are there in twenty-five halves of a kilometer?
12500
Convert 840745.7 nanograms to milligrams.
0.8407457
What is 252.15765 months in years?
21.0131375
What is thirteen quarters of a meter in centimeters?
325
What is 4.332717t in kilograms?
4332.717
How many micrometers are there in 0.3103905cm?
3103.905
How many milligrams are there in 6/5 of a gram?
1200
How many centimeters are there in 1653.869 kilometers?
165386900
How many seconds are there in 32/9 of a hour?
12800
Convert 1712.9334 milliseconds to minutes.
0.02854889
How many years are there in 1005.181 centuries?
100518.1
What is thirteen fifths of a gram in milligrams?
2600
How many grams are there in 61.96145 kilograms?
61961.45
What is 6/25 of a minute in milliseconds?
14400
What is 9836.276nm in micrometers?
9.836276
How many years are there in 2513.957 centuries?
251395.7
What is seventy-six fifths of a tonne in kilograms?
15200
How many millilitres are there in three fifths of a litre?
600
What is 5/8 of a century in months?
750
Convert 38.20998 years to decades.
3.820998
How many nanograms are there in three eighths of a microgram?
375
What is 0.7081323 millilitres in litres?
0.0007081323
How many centimeters are there in 444797.4m?
44479740
What is 5/8 of a gram in milligrams?
625
What is 3/8 of a week in hours?
63
How many months are there in sixty-four thirds of a century?
25600
How many micrograms are there in 4904.382kg?
4904382000000
How many seconds are there in 3/25 of a hour?
432
How many millilitres are there in 3/10 of a litre?
300
Convert 4.495471 millennia to centuries.
44.95471
Convert 80194.21 centuries to decades.
801942.1
What is 3/10 of a minute in milliseconds?
18000
What is 17/4 of a decade in months?
510
How many months are there in 5/6 of a year?
10
What is twenty-five halves of a meter in millimeters?
12500
What is 589.6385 decades in millennia?
5.896385
What is 1363.56 litres in millilitres?
1363560
How many millilitres are there in 37/2 of a litre?
18500
How many weeks are there in 127.6532838ms?
0.0000002110669375
Convert 377690.1 grams to micrograms.
377690100000
How many nanograms are there in 6430.104 micrograms?
6430104
What is eighty-one halves of a microgram in nanograms?
40500
What is 0.7051289 years in months?
8.4615468
Convert 44.04688 nanograms to kilograms.
0.00000000004404688
How many micrograms are there in 13/4 of a milligram?
3250
How many seconds are there in twenty-one fifths of a minute?
252
Convert 0.0378106 milliseconds to microseconds.
37.8106
Convert 37.31829 millennia to centuries.
373.1829
What is thirteen quarters of a milligram in micrograms?
3250
How many millilitres are there in 1395.509l?
1395509
What is eighteen fifths of a decade in years?
36
How many hours are there in 24026.88 days?
576645.12
What is fourty-nine fifths of a tonne in kilograms?
9800
How many centimeters are there in 8657.683m?
865768.3
What is 11/2 of a century in months?
6600
What is 20.23102 tonnes in nanograms?
20231020000000000
How many millimeters are there in fourty-eight fifths of a centimeter?
96
How many decades are there in 43/2 of a millennium?
2150
How many millimeters are there in six fifths of a centimeter?
12
What is 1/5 of a kilometer in meters?
200
How many centuries are there in 62.17427 millennia?
621.7427
What is 11/2 of a year in months?
66
How many decades are there in 645271.6 millennia?
64527160
Convert 8953.81l to millilitres.
8953810
What is thirty-two fifths of a tonne in kilograms?
6400
What is 7/2 of a decade in months?
420
Convert 722.4584 litres to millilitres.
722458.4
What is twenty-nine halves of a century in decades?
145
Convert 67093.95 centuries to decades.
670939.5
Convert 4.853653 micrometers to centimeters.
0.0004853653
Convert 1171448.73us to days.
0.000013558434375
What is 668.4126 litres in millilitres?
668412.6
How many hours are there in 2/7 of a week?
48
How many kilograms are there in eleven halves of a tonne?
5500
What is 20879305.2us in days?
0.000241658625
What is 264044.3 seconds in milliseconds?
264044300
Convert 6969.825 micrograms to kilograms.
0.000006969825
How many years are there in 31/5 of a century?
620
What is thirteen quarters of a micrometer in nanometers?
3250
How many millilitres are there in 21/8 of a litre?
2625
How many micrometers are there in 17246.94nm?
17.24694
How many millimeters are there in 21/2 of a centimeter?
105
What is 210.40914 minutes in hours?
3.506819
What is 7962.521 seconds in nanoseconds?
7962521000000
Convert 26.9009ml to litres.
0.0269009
What is four thirds of a century in months?
1600
What is 77716.485 minutes in weeks?
7.70996875
Convert 48.80182 litres to millilitres.
48801.82
How many decades are there in 6.692847 months?
0.055773725
Convert 4.370322 tonnes to kilograms.
4370.322
What is 6.4782 tonnes in grams?
6478200
How many months are there in 13.39281 years?
160.71372
What is 8.928442l in millilitres?
8928.442
How many grams are there in 6/25 of a kilogram?
240
How many grams are there in fourty-eight fifths of a kilogram?
9600
How many millilitres are there in 32/5 of a litre?
6400
What is 27576.64 decades in centuries?
2757.664
What is 1/5 of a kilogram in grams?
200
How many litres are there in 2966.335 millilitres?
2.966335
Convert 339660.3 micrometers to nanometers.
339660300
How many millimeters are there in 37/5 of a meter?
7400
What is 17/2 of a gram in milligrams?
8500
What is 2336.965ng in tonnes?
0.000000000002336965
What is 10/3 of a decade in months?
400
What is 1/4 of a year in months?
3
What is fourty-five eighths of a litre in millilitres?
5625
What is 0.6342292ng in kilograms?
0.0000000000006342292
What is twenty-one eighths of a litre in millilitres?
2625
Convert 7368.972 centuries to decades.
73689.72
What is 1/10 of a litre in millilitres?
100
What is three sixteenths of a week in minutes?
1890
Convert 90828.97 years to months.
1089947.64
What is 11/4 of a microgram in nanograms?
2750
What is three fifths of a millennium in decades?
60
What is 46.14839l in millilitres?
46148.39
How many nanometers are there in 70.21635cm?
702163500
What is 41.8655 centimeters in kilometers?
0.000418655
How many months are there in 8/25 of a millennium?
3840
How many nanograms are there in one fifth of a microgram?
200
Convert 0.7116439 millimeters to nanometers.
711643.9
How many millilitres are there in 436.2677l?
436267.7
What is 66.3321 months in centuries?
0.05527675
What is twenty-three eighths of a litre in millilitres?
2875
What is 1638.3603 months in years?
136.530025
How many years are there in 13/5 of a millennium?
2600
How many nanograms are there in 3321.803 grams?
3321803000000
How many micrograms are there in 1/4 of a milligram?
250
How many milligrams are there in 630.0031t?
630003100000
What is 3/5 of a decade in years?
6
What is 2364.888ml in litres?
2.364888
What is 65.47152 micrograms in nanograms?
65471.52
Convert 0.7120845 minutes to hours.
0.011868075
What is seven thirds of a millennium in months?
28000
What is fourty-four fifths of a century in years?
880
What is 2.246291 centuries in years?
224.6291
What is 8/25 of a kilometer in meters?
320
What is 9/10 of a litre in millilitres?
900
How many nanometers are there in 12/25 of a micrometer?
480
What is 21/8 of a litre in millilitres?
2625
Convert 64.26955 litres to millilitres.
64269.55
What is 829 | {
"pile_set_name": "DM Mathematics"
} |
2*sqrt(121) - sqrt(121))*-6)/(sqrt(11)*-1*-4).
-2
Simplify ((sqrt(408)*-1*-3)/(-2*sqrt(24)/sqrt(2)))/((sqrt(192)*-6)/(sqrt(6) - sqrt(72)/(sqrt(12) + sqrt(12) + sqrt(48)/sqrt(4)))).
sqrt(17)/24
Simplify (-1*(sqrt(80) - (sqrt(80) + 2*sqrt(80)*-5 - sqrt(80)))/sqrt(4))/(sqrt(12)/sqrt(75) - (sqrt(4) - (sqrt(1024)/sqrt(4) - sqrt(4)))).
-55*sqrt(5)/31
Simplify ((sqrt(36) - (sqrt(180)/sqrt(5)*1 + sqrt(36)))/(2*-2*sqrt(2)))/(sqrt(45)/(sqrt(5) + sqrt(35)/sqrt(7)) - sqrt(81)*5).
-sqrt(2)/58
Simplify ((sqrt(3) - (sqrt(9)/sqrt(147) + sqrt(3)) - sqrt(3)*5*1) + 4 + (sqrt(192)*-1 - sqrt(3)) + sqrt(600)/sqrt(8))**2.
-512*sqrt(3)/7 + 13072/49
Simplify (sqrt(8)*-6 + sqrt(242) + 4 + (-5*sqrt(88)/sqrt(4))/(sqrt(77)/(sqrt(14)/sqrt(2) + sqrt(7) + sqrt(7)) - sqrt(11)) + -4)**2.
169/2
Simplify ((2*sqrt(525) - (sqrt(21) + -1*sqrt(3024)))*3)/(((sqrt(84)/sqrt(2) + sqrt(42))*4)/(1*sqrt(96))).
63*sqrt(3)/2
Simplify (-1 + 2 + sqrt(77)/(-1*sqrt(7) - sqrt(7)) + -1 + 2 + sqrt(539)*2*1)**2.
54*sqrt(11) + 8035/4
Simplify (-4 + sqrt(704)*2 + -1 + (sqrt(44) - (sqrt(44) + sqrt(44) + 1)*-4) + sqrt(44) + sqrt(44) + 1*sqrt(132)/sqrt(3))**2.
-80*sqrt(11) + 17601
Simplify (5*(4*(sqrt(539) + (-1*sqrt(539) - sqrt(539))) + sqrt(539) + sqrt(539) - (-2*sqrt(539)*-6 - sqrt(539))))**2 + 3*(-6*3*(-3 + sqrt(539)))**2.
-40824*sqrt(11) + 2809931
Simplify (((2 + 1 + sqrt(468))*-2 + 3 + -1 + -2*(3 + sqrt(468)*2))*5)**2.
18000*sqrt(13) + 423700
Simplify (-6*((sqrt(76)*-1 - sqrt(76) - sqrt(76))*2 + sqrt(76) + (-2*sqrt(76)*2 + sqrt(76) - sqrt(76)) + sqrt(76)))/(sqrt(20)/sqrt(5)*-3 + -2*sqrt(144)).
-16*sqrt(19)/5
Simplify (-2*((sqrt(450)*1 - sqrt(450)) + sqrt(450)) + (sqrt(20)/(sqrt(5)*2) + sqrt(4))/(-6*sqrt(2)*-2))**2.
57121/32
Simplify (1*sqrt(204)*-1 - (sqrt(204) - -6*((sqrt(204) + -2*sqrt(204) - sqrt(204)) + sqrt(204))))/((sqrt(12) + sqrt(1452)*-3)*3).
-sqrt(17)/24
Simplify 6*(0 + (-4*(1*sqrt(171) + sqrt(171))*-5)/(sqrt(1296)*-2*-5)).
2*sqrt(19)
Simplify -4*(5 + -3*(sqrt(153)*1*-5 + 3)*2)**2.
-551476 + 9360*sqrt(17)
Simplify (-1 + sqrt(208) + 4 + sqrt(65)/sqrt(5) + sqrt(130)/(6*sqrt(10)*-2))*4*2.
24 + 118*sqrt(13)/3
Simplify (-3*(sqrt(1331) - 1*sqrt(1331)))**2*5 + -2 + (-3*sqrt(1331)*1 - (sqrt(1331) - (sqrt(1331) + -5*(sqrt(1331) + 1))))**2 + 3.
880*sqrt(11) + 85210
Simplify (2 + (2*4*sqrt(304))**2 - ((sqrt(304) + (-1*(sqrt(304) - (sqrt(304) - (sqrt(304) - sqrt(304)*2))) - sqrt(304)))**2 - (-1 + 1 + sqrt(304)))) + -1.
4*sqrt(19) + 19153
Simplify ((0 + 0 + sqrt(7) + sqrt(7) + 1*sqrt(112) + sqrt(112)*-4 + sqrt(112) + -1)*5)**2 + 5.
300*sqrt(7) + 6330
Simplify -3*((6*(1*sqrt(684)*-5 + -2*-1*sqrt(684)))**2 + (5*(sqrt(684) + 1) + (-3*sqrt(684)*4 - sqrt(684)))**2).
-796251 + 1440*sqrt(19)
Simplify (2*(sqrt(65) - 1*sqrt(65))*-1*-5)/(-4*(sqrt(500) - (sqrt(500) - 3*sqrt(500)))*5).
0
Simplify ((0 + sqrt(891))*6 + 2*sqrt(891) + -5 - (-1*-3*(sqrt(891) - -1*sqrt(891)))**2) + 2 + -2.
-32081 + 72*sqrt(11)
Simplify (-4*4*(sqrt(10) + 1*sqrt(10)))/((sqrt(405)*-2 - sqrt(405) - sqrt(405))*-3)*6 + -2.
-16*sqrt(2)/9 - 2
Simplify (6*-5*sqrt(187)*-2*2)/(-3*sqrt(55)/sqrt(5) + sqrt(11) + sqrt(132)/sqrt(1200)).
-1200*sqrt(17)/19
Simplify (-5 + sqrt(9)/sqrt(3) + -2*(sqrt(3) + 2))*-1 + (1*sqrt(81)/sqrt(3) - (sqrt(27) + ((sqrt(216)*1 - sqrt(216))/sqrt(8))**2)).
sqrt(3) + 9
Simplify (1*sqrt(784) + sqrt(784) + sqrt(784))/(sqrt(378)/sqrt(6)) + (5 + (1*sqrt(343))**2)*-6 + 1.
-2087 + 4*sqrt(7)
Simplify 5 + (-4 + sqrt(108) + -4 + sqrt(108))**2 + 0 + -1*(-2 + ((-1*sqrt(108))**2 - sqrt(108)) - (sqrt(108) + ((2 + sqrt(108))*6)**2)).
684*sqrt(3) + 4427
Simplify 2 + 1*((((sqrt(140) - -2*sqrt(140) - sqrt(140))/sqrt(7))/sqrt(4))**2*5 - (sqrt(45) + sqrt(5) + -5)*2*-1).
8*sqrt(5) + 92
Simplify ((sqrt(136) - (sqrt(136) - -4*(-1*sqrt(136) + sqrt(136) - sqrt(136))))*1*4)/(sqrt(288)*-3 + sqrt(56)/(sqrt(35)/sqrt(5)) + sqrt(8)).
-sqrt(17)
Simplify (sqrt(275)*-4*-2 + -3)**2 - ((sqrt(891) + 3 + sqrt(891) + 0)*3)**2.
-14548 - 1212*sqrt(11)
Simplify -1 + (sqrt(84)/sqrt(6)*1)/sqrt(882) + 0 + 5 + -5.
-1 + sqrt(7)/21
Simplify (-5*((sqrt(13) + 1*sqrt(13) + -2 - (sqrt(52)/(sqrt(4) - (sqrt(64) - sqrt(4))) + sqrt(13)) - -3*(0 + sqrt(13) + -4)) + 3))**2.
-2475*sqrt(13) + 38425/4
Simplify ((-3*(sqrt(1377) + -3*sqrt(1377) + 0 + sqrt(1377)) - (0 + -2*(sqrt(1377) + -4*sqrt(1377)))) + 2)**2.
-108*sqrt(17) + 12397
Simplify 1*(sqrt(1584) + 3)**2 + -2 + -1 + sqrt(275) + -1 + -2.
77*sqrt(11) + 1587
Simplify ((sqrt(84)/sqrt(3) + sqrt(28))/sqrt(4)*2 + (sqrt(7) - (0 + sqrt(7) + -5))*3 - (5*sqrt(63)*5 + (sqrt(7)*2 + -4)*3))**2.
-4158*sqrt(7) + 42232
Simplify 5*(-3 + (2*sqrt(152)*1 - (sqrt(152) + sqrt(152)*-1*-2))/((sqrt(8) + 4*1*sqrt(8) - sqrt(8)) + sqrt(512)*-1)).
-15 + 5*sqrt(19)/4
Simplify -6*((1 + sqrt(80) + 1 - (sqrt(80) + (sqrt(80) - ((-1*sqrt(80) - sqrt(80))*2)**2))) + -1 - ((sqrt(80)*2 - sqrt(80))*-6 + -4)*4).
-7782 - 552*sqrt(5)
Simplify (2 + (1 + (sqrt(475) - -2*sqrt(475)))*4 + -4*((sqrt(475) - 1*(0 + sqrt(475))) + 4))**2*4.
-4800*sqrt(19) + 274000
Simplify -4 + 1 + 3*sqrt(1539)*6 + sqrt(1539) + (-1*(4 + sqrt(1539)) + sqrt(1539) - sqrt(1539)).
-7 + 162*sqrt(19)
Simplify -4*((2*-1*sqrt(2268))/(sqrt(100) - 2*(sqrt(100) - sqrt(100)*-1)) + 4).
-16 - 24*sqrt(7)/5
Simplify -1*(-1 + (sqrt(72)/(sqrt(432) - (sqrt(432) - sqrt(432)*2)))/(sqrt(12)*-2*4*-5))**2 + 1.
-1/460800 + sqrt(2)/480
Simplify ((sqrt(121) + (2*sqrt(121) - sqrt(121))*2 + sqrt(121)*-1*-1)*4)/((-1*-1*sqrt(77))/(sqrt(14)/sqrt(2)*-5)).
-80*sqrt(11)
Simplify (-4*(1 + -5 + (-1*sqrt(539) + -1 - sqrt(539)) + sqrt(539) + 2 + 4)*-1)**2.
-224*sqrt(11) + 8640
Simplify -6*(3 + sqrt(153)/(3*sqrt(900)) - (sqrt(17) + -1 + 1 - (sqrt(612) + 0)))**2.
-395717/150 - 906*sqrt(17)/5
Simplify (((sqrt(243) - (sqrt(243) - (4 + sqrt(243) + sqrt(243) + -4 + sqrt(243))))*-5)**2 - -6*((-2*sqrt(3) + 2)**2 + 2))*-4.
-219132 + 192*sqrt(3)
Simplify -2*(-2 + (((sqrt(8) + -1)*4 + sqrt(8) + sqrt(968) + -1 + sqrt(968))*2*1)**2).
-46852 + 4320*sqrt(2)
Simplify ((-2 + sqrt(1200) + 0 + -1 + sqrt(1200) + sqrt(1200) + sqrt(1200) + sqrt(1200) + 2 + sqrt(1200) + -5)*6)**2.
-51840*sqrt(3) + 1556496
Simplify (((sqrt(480) + 2*sqrt(480)*2 - sqrt(480))/sqrt(12))/(-5*(sqrt(392) - sqrt(392)*-3) - sqrt(392))*-3 + -4)**2.
-32*sqrt(5)/49 + 38496/2401
Simplify ((sqrt(100)*1*4)/(-2*sqrt(405)))/(((sqrt(48) + sqrt(432))*-4)/(sqrt(300) - 2*sqrt(300)))*-1.
5*sqrt(5)/72
Simplify (-4*(sqrt(1215) + (sqrt(1215)*-1 - sqrt(1215)))*-3)/((sqrt(36)*1*-5)/(sqrt(432) - -1*sqrt(432))).
1296*sqrt(5)/5
Simplify (((sqrt(2448) - (-1 + sqrt(2448))**2) + -3 + sqrt(2448))*-1 - (sqrt(2448) + 5*(1 + sqrt(2448)) + (-6*-2*sqrt(2448))**2))*1.
-350065 - 120*sqrt(17)
Simplify (0 + 2 + 5*(-4 + (sqrt(432) - -6*-1*sqrt(432))**2))*3.
161946
Simplify (-1*-6*(sqrt(475) - (sqrt(475) - (sqrt(475) + 1 + 3))) - (0 + -2 + (sqrt(475) - (-1 + sqrt(475))*-1)))**2.
1080*sqrt(19) + 8329
Simplify -4 + (4 + (sqrt(272) - (sqrt(272) + 1 + sqrt(272))) + -3)**2 + 5*(-1 + sqrt(272))*4.
248 + 80*sqrt(17)
Simplify -5*((((sqrt(2592) + 0)*-5)**2 - (3 + 2*2*sqrt(18))**2) + 2).
-322525 + 360*sqrt(2)
Simplify (3*(-4*sqrt(28)/sqrt(4) - sqrt(28)/sqrt(36))*5)**2 + 1.
29576
Simplify ((-1*sqrt(66)*-2)/(sqrt(21)/sqrt(28)))/(-2*4*(-2*sqrt(1584) - sqrt(1584))).
sqrt(2)/72
Simplify (((-1 + sqrt(243))*1 + 4*(sqrt(243) + 0) + sqrt(243) + (-1 + sqrt(243)*-1 + (sqrt(243) + -1)*-6)*-5)*2)**2.
-76752*sqrt(3) + 1636636
Simplify 3*(sqrt(448) + sqrt(448) + 1)*-4*-4 + -5*(sqrt(1400)*-1)/sqrt(2)*1.
48 + 818*sqrt(7)
Simplify (sqrt(1100)*-2*-2 + sqrt(55)/sqrt(605) + -5)**2*2.
-8820*sqrt(11)/11 + 389512/11
Simplify (sqrt(171) - -2*sqrt(171)*-2)/(sqrt(9) - 1*sqrt(441)) + (2*(-1 + 3 + sqrt(931)))**2.
225*sqrt(19)/2 + 3740
Simplify (((1*sqrt(136)*-3 + sqrt(136) - sqrt(136)) + sqrt(136) - 2*sqrt(136)*3)/(-2*sqrt(32)/sqrt(4) + 1*sqrt(288)))**2*5.
340
Simplify (0 + (-5 + sqrt(567)*2 + 1 + sqrt(567) + sqrt(567) + 1 + sqrt(567) + -5 - ((4 + sqrt(567) + 1)*4 + 5)))**2.
-594*sqrt(7) + 1656
Simplify -5*((sqrt(5) + sqrt(60)/(-1*sqrt(12)) - sqrt(5))**2 + (1*sqrt(5))**2 + 0)*6 + 5 + 0 + (sqrt(80) - -1*sqrt(80)*-2)**2 + sqrt(80).
-215 + 4*sqrt(5)
Simplify (((sqrt(7920) + (sqrt(7920)*-2 - sqrt(7920)))*4 + sqrt(7920))/((sqrt(99) + (sqrt(99) - sqrt(99)*1))*6))**2.
980/9
Simplify (-4 + -5 + 4*(-5*sqrt(112)*4 - (sqrt(112) + 0)*5))**2.
7200*sqrt(7) + 1120081
| {
"pile_set_name": "DM Mathematics"
} |
= -695*m + 6480 - 19*m**2 + 18*m**2 + 15*m**2 + 31*m**2. Let s(f) = -6*c(f) - 25*h(f). What is l in s(l) = 0?
18
Suppose -m = 2*k - 89, -1 = -4*k + 3. Suppose -f - m = -2*z, -f = -5*z + 10*z - 228. Factor -z*o - 44*o + 8 + 77*o + 4*o**2.
4*(o - 2)*(o - 1)
Let g(z) = z**3 + 20*z**2 - 7*z - 80. Let i be g(-20). Determine y, given that 3*y - 19*y + i*y**2 - 58*y**2 - 4*y + 42 = 0.
3, 7
Factor 38930218/15 + 538/5*o**2 - 2/15*o**3 - 144722/5*o.
-2*(o - 269)**3/15
Let z(y) be the first derivative of y**3/12 + 599*y**2/4 - 1199*y/4 - 1603. Let z(d) = 0. What is d?
-1199, 1
Factor -249696*r**2 - 2/3*r**4 + 0 - 816*r**3 + 0*r.
-2*r**2*(r + 612)**2/3
Let l(a) be the first derivative of a**4/8 - 14*a**3/3 + 57*a**2 - 288*a - 972. Find m such that l(m) = 0.
6, 16
Let b be 31 + -20 - 39003/663. Let c = -698/17 - b. Let -24/13*f**4 - 22/13*f**3 + 16/13 + c*f + 92/13*f**2 = 0. Calculate f.
-2, -2/3, -1/4, 2
Let 129/2*k**2 + 0 + 15/2*k**4 + 115/4*k + 1/4*k**5 + 43*k**3 = 0. Calculate k.
-23, -5, -1, 0
Suppose 344 - 56 = 32*u. Let y = u + -17/2. Factor 0*m**2 - y*m**4 - m**3 + 0*m + 0.
-m**3*(m + 2)/2
Factor 1000 - 66*z**2 - 2*z**3 - 3*z**3 + 53*z**2 - 250*z + 14*z**2 - 116*z**2.
-5*(z - 2)*(z + 5)*(z + 20)
Suppose 3*u - 1328 + 1324 = 2*d, 0 = -49*u - 3*d - 6. Factor u*h**2 + 2/7 - 1/7*h**3 + 3/7*h.
-(h - 2)*(h + 1)**2/7
Let -4*i - 1/7*i**4 + 1/7*i**2 + 4*i**3 + 0 = 0. What is i?
-1, 0, 1, 28
Factor -14*c**3 - 2496*c + 1639 + 28*c**3 - 18*c**3 - 336*c**2 - 6503.
-4*(c + 4)**2*(c + 76)
Let f = -131 + -534. Let v be ((-2)/(-9))/((f/126)/(-19)). Factor 0 + 2/5*t**3 + 0*t + v*t**2 - 2/5*t**4.
-2*t**2*(t - 2)*(t + 1)/5
Let m(l) = -l**3 + 2*l. Let c(d) = 4*d**3 + 33*d**2 + 59*d - 160. Let g(n) = -c(n) - 5*m(n). Let v(i) be the first derivative of g(i). Factor v(x).
3*(x - 23)*(x + 1)
Let t(c) be the second derivative of -c**7/63 - 23*c**6/45 - 19*c**5/15 + 43*c**4/9 + 13*c**3/3 - 21*c**2 - 732*c. What is d in t(d) = 0?
-21, -3, -1, 1
Let f(j) be the first derivative of -j**3/3 + 71*j**2 + 143*j + 1589. Factor f(v).
-(v - 143)*(v + 1)
Let m(u) be the second derivative of u**6/30 - u**5/4 - 7*u**4/6 - 3*u**3/2 - 3*u. Let r(j) = j**3 + j**2 + j. Let s(n) = 2*m(n) + 18*r(n). Factor s(k).
2*k**2*(k - 1)*(k + 5)
Let j(b) = -15*b**3 - 795*b**2 - 5*b + 15. Let y(i) = -20*i**3 - 1193*i**2 - 7*i + 21. Let s(x) = 7*j(x) - 5*y(x). Factor s(l).
-5*l**2*(l - 80)
Let k(t) be the third derivative of -t**5/240 - 41*t**4/32 + 63*t**3/4 + 1979*t**2. Factor k(m).
-(m - 3)*(m + 126)/4
Let t(z) = z**3 + 19*z**2 - 19*z + 23. Let j be t(-20). Factor 158*a**j - 4*a**5 + 225*a**3 - 86*a**3 + 243*a**2 + 7*a**5 + 57*a**4.
3*a**2*(a + 1)*(a + 9)**2
Let f = -332013/85 - -66508/17. Solve -1/5*c**3 + 17/5*c**2 - f*c + 3 = 0 for c.
1, 15
Factor -19511200 - 4/5*v**3 - 696*v**2 - 201840*v.
-4*(v + 290)**3/5
Factor -36*x + 874*x + 9*x**2 - 12*x**2 + 131*x.
-3*x*(x - 323)
Suppose -56 + 88 = 4*y - 5*d, 0 = 4*y + d - 56. Suppose 24*j - y*j**2 - 16*j**2 + 42*j**2 - 16*j**2 + 15*j = 0. What is j?
0, 13
Factor 21374 + 20766 - 64333 - 5*r**2 + 135*r + 21293.
-5*(r - 15)*(r - 12)
Let v(y) be the third derivative of 0 + y + 1/20*y**5 + 9/2*y**3 - 12*y**2 + 3/4*y**4. Let v(k) = 0. Calculate k.
-3
Let s(t) be the first derivative of t**2 - 28 - 65 + 22 + 4*t**3 + 3*t**2. Factor s(a).
4*a*(3*a + 2)
Let q be (-12 - 522/(-42))*7. Let a = 2 + 0. Factor l**4 + 6*l + 2*l**3 - l**a - 8*l**2 + 5*l - 4 - l**q.
(l - 1)**3*(l + 4)
Suppose r + 154 = 3*h, 0 = 4*h - r + 2*r - 210. Suppose 88 = h*x - 8*x. Determine u so that 0*u + 1/9*u**x - 1/9 = 0.
-1, 1
Suppose 5*r + 506 = 7*r + 36*q, 0 = -q + 14. Factor 5/4*w + 1/4*w**2 + r.
(w + 1)*(w + 4)/4
Let u(j) be the second derivative of -j**9/26460 + j**8/5880 + j**7/4410 - j**6/630 - 5*j**4 + j + 3. Let h(a) be the third derivative of u(a). Factor h(q).
-4*q*(q - 2)*(q - 1)*(q + 1)/7
Let a(l) be the second derivative of l**7/294 - l**6/15 + 5*l**5/28 - l**4/7 + 47*l - 2. Factor a(x).
x**2*(x - 12)*(x - 1)**2/7
Let w(f) be the third derivative of f**8/784 + 9*f**7/245 + f**6/20 - 2*f**5/5 - 87*f**4/56 - 17*f**3/7 - 9*f**2 + 107. Let w(t) = 0. What is t?
-17, -1, 2
Let w(x) = 42*x - 211. Let p be w(25). Let u = 842 - p. Let -u*v**4 + 0*v**2 + 0*v + 3/4*v**5 + 0 + 3*v**3 = 0. What is v?
0, 2
Let d = 118 - 100. Factor 42*x**3 + 3*x**4 - 21*x**3 - 3*x**5 - d*x**3 - 3*x**2.
-3*x**2*(x - 1)**2*(x + 1)
Let c be (-35)/(-7) + (-2)/1216*2283. Let w = c - -3/608. Factor -2*z**3 - 1/4*z**5 - w*z**4 + 0*z - z**2 + 0.
-z**2*(z + 1)*(z + 2)**2/4
Let u(s) be the second derivative of 23*s**3 - s + 63 + 1587/2*s**2 + 1/4*s**4. Determine f so that u(f) = 0.
-23
Let b = -60 - -103. Let j = 70 - b. Determine u, given that -12 - j - 2*u**2 + 24*u - 33 = 0.
6
Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/4*i**4 - 1/60*i**6 - 20*i + 1/40*i**5 - 2. Factor y(z).
-z**2*(z - 3)*(z + 2)/2
Let v = -61 - -35. Let p be (-264)/v - (-4)/(-26). Factor 6*s**3 + 18 - 10 - 46*s + 40*s + 2*s**4 - p*s**2.
2*(s - 1)**2*(s + 1)*(s + 4)
Let w = -238868 + 238872. Find n, given that 57/7 + 54/7*n - 60/7*n**2 + 3/7*n**w - 54/7*n**3 = 0.
-1, 1, 19
Factor -560/3*v**2 + 23/3*v**3 + 0 + 1/3*v**4 + 832*v.
v*(v - 8)**2*(v + 39)/3
Let b(s) be the second derivative of s**5/16 + 5*s**4/6 + 55*s**3/24 - 25*s**2/2 + s - 97. Solve b(w) = 0 for w.
-5, -4, 1
Let b = -662 + 188. Let k = b + 477. Factor 0 + 1/2*t**k + t + 3/2*t**2.
t*(t + 1)*(t + 2)/2
Suppose 8*l - 103 = 49. Factor -2*f + l + 2*f**2 - 6*f + 21 - 32.
2*(f - 2)**2
Let 42250 + 260*h + 2/5*h**2 = 0. Calculate h.
-325
Let g(r) be the first derivative of -4*r**3/3 - 410*r**2 - 1624*r - 962. Suppose g(a) = 0. Calculate a.
-203, -2
Let g(n) be the first derivative of 902289*n**5/5 - 1925781*n**4/4 + 82611*n**3 - 10935*n**2/2 + 162*n + 2425. Suppose g(v) = 0. Calculate v.
3/67, 2
Let l = 411590 - 411586. Find r such that 0 - 2/3*r**4 - l*r - 2/9*r**5 + 14/9*r**3 + 10/3*r**2 = 0.
-3, 0, 1, 2
Solve 12*r - 2*r**2 - 5*r**2 + 8*r**2 - 7*r**2 + 2*r**2 + 112 = 0 for r.
-4, 7
Factor -1/4*o**3 + 1/4*o + 13/2*o**2 - 13/2.
-(o - 26)*(o - 1)*(o + 1)/4
Suppose 2*g + 611 = -709. Let x be ((g/(-121))/(-15))/(4/(-22)). Factor 0 + 1/3*y**3 - 1/3*y - 1/6*y**4 + 1/6*y**x.
-y*(y - 2)*(y - 1)*(y + 1)/6
Let h = 3/34436 - -137735/103308. Solve 8/3*u**3 + h*u + 6*u**2 + 0 = 0 for u.
-2, -1/4, 0
Let u(a) = -11*a - 251. Let m be u(-23). Let o(i) be the first derivative of 7 + 2/3*i**3 - 1/2*i**4 + 0*i**m + 0*i. Suppose o(l) = 0. What is l?
0, 1
Let h(a) = a**4 + 37*a**3 + 17*a**2 - 133*a + 92. Let d(k) = -k**4 + 2*k**3 + k**2 + 4*k + 1. Let w(b) = -2*d(b) + h(b). Suppose w(z) = 0. Calculate z.
-10, -3, 1
Determine i so that -422*i**3 - 1200 + 14/3*i**5 + 4180*i + 22*i**4 + 566/3*i**2 = 0.
-12, -3, 2/7, 5
Factor -6*h**2 - 22255*h + 7*h**2 + 22915*h.
h*(h + 660)
Let c(p) be the first derivative of -p**7/168 - 11*p**6/144 - 5*p**5/48 - 58*p**3/3 - 76. Let l(k) be the third derivative of c(k). Factor l(x).
-5*x*(x + 5)*(2*x + 1)/2
Suppose 0 = 3*a + 13 + 32. Let t(l) = l**2 + 17*l + 32. Let v be t(a). Solve 4*n**v - n**4 - 3*n**5 + 11*n**5 + 4*n**5 - 3*n**4 - 12*n**3 = 0 for n.
-1, 0, 1/3, 1
Factor 626*x + 780 - 537*x + 1468*x - 3*x**3 + 774*x**2.
-3*(x - 260)*(x + 1)**2
Let c(g) be the second derivative of 3/80*g**5 + 0 + 0*g**2 + 11/8*g**4 - 46*g + 121/8*g**3. Find q, given that c(q) = 0.
-11, 0
Let r(s) = 8*s - 110. Let h be r(14). Let f(l) be the second derivative of -9/4*l**h + 0 - 1/24*l**4 - 5*l + 1/2*l**3. Factor f(c).
-(c - 3)**2/2
Let d(i) = 4*i**4 - 32*i**3 - 64*i**2 - 30*i - 2. Let v(x) = -3*x**4 - 2*x**3 - x**2 - x + 1. Let h(g) = -d(g) - 2*v(g). Determine s, given that h(s) = 0.
-16, -1, 0
Factor -21*l**3 - 10*l**2 - 205*l - 330 - 4*l**2 + 134*l**2 - l**3 + 17*l**3.
-5*(l - 22)*(l - 3)*(l + 1)
Suppose 1010*o - 1013*o + 4*z + 50 = 0, -4*z - 46 = -o. Factor -3/4*m**o + 21/4*m - 9.
-3*(m - 4)*(m - 3)/4
Factor 8824/17*t + 2200/17*t**2 + 8832/17 - 2/17*t**3.
-2*(t - 1104)*(t + 2)**2/17
Let p(h) be the first derivative of h**5/130 + h**4/78 - 2*h**3/13 - 52*h + 19. Let a(i) be the first derivative of p(i). Solve a(f) = 0 for f.
-3, 0, 2
Let q = 18 + -38. Let z be (-124)/q - (-1)/(-5). Factor 0 + 8 + 12*o - 12*o + 2*o**3 - z*o**2.
2*(o - 2)**2*(o + 1)
Factor -2/11*k**5 + 14/11*k**4 - 32/11* | {
"pile_set_name": "DM Mathematics"
} |
81) + sqrt(81)*3)) + sqrt(81)) - (sqrt(81) + -1*sqrt(81))*5)/((sqrt(363)*-2 + sqrt(363) - sqrt(363))*2 - -2*1*sqrt(363)).
15*sqrt(3)/11
Simplify (1*(4 + (sqrt(567) - -1*-1*sqrt(567) - 1*(1 + sqrt(567))) + -2)*-6)**2.
-648*sqrt(7) + 20448
Simplify ((-4*(sqrt(306) + -1*sqrt(306) + sqrt(306) + sqrt(306)))/(sqrt(9) + sqrt(108)/(1*sqrt(12))))/(-3*sqrt(250)/sqrt(5)*-6).
-2*sqrt(17)/45
Simplify (((-4*(sqrt(180) + sqrt(20)) - sqrt(2000)*-2)*2)/(-1*sqrt(48)/(sqrt(1200) + sqrt(1200)*2 + sqrt(1200))))**2.
512000
Simplify (5 + 0 + sqrt(208) + 1 - (5 + (sqrt(1872) - 1*sqrt(1872)) + (sqrt(1872) - ((sqrt(1872) - ((sqrt(1872) - (1 + sqrt(1872))) + sqrt(1872))) + 1))))**2.
-48*sqrt(13) + 841
Simplify (3 + (2*1*sqrt(200) + sqrt(200))*6 + -2 + 1*(sqrt(200) - (0 + sqrt(200) + 5) - (1 + 1 + sqrt(200))))**2 + -3.
-2040*sqrt(2) + 57833
Simplify 4*(((1*sqrt(143) + sqrt(143) + sqrt(143))*-4 - -2*(sqrt(143)*-2 + sqrt(143)))/(-1*sqrt(44) - -2*sqrt(99)) + -2).
-14*sqrt(13) - 8
Simplify (((sqrt(99) + -2*sqrt(99))*6)/(sqrt(3) - (sqrt(27)*-2 + sqrt(27))))/(3*-2*sqrt(432)*6).
sqrt(11)/288
Simplify (sqrt(18) + 1)*-2 + (sqrt(144)*-2)/sqrt(8) - (sqrt(288)*-3*2 + -3).
1 + 60*sqrt(2)
Simplify ((sqrt(28)/(sqrt(8)/sqrt(4)))/(sqrt(18) + (sqrt(72) - sqrt(18))) + -2)**2 - (3 + -4*(sqrt(7) - sqrt(35)/sqrt(5)) + -4 + 2*sqrt(7)).
-8*sqrt(7)/3 + 187/36
Simplify (5 + 5*(sqrt(1539) - (sqrt(1539) - 1*sqrt(1539)))*1 + 1 + sqrt(1539) + 0 + sqrt(1539) + -2)**2.
504*sqrt(19) + 75427
Simplify (-5 + sqrt(17) + sqrt(17)*-1 + sqrt(17) + 6*(-5 + sqrt(17)) - ((sqrt(17) + 0)*2 + -3 + sqrt(153)))**2.
-128*sqrt(17) + 1092
Simplify (2 + sqrt(180) + (0 + sqrt(180) - sqrt(180)))*-4 + 3 - (sqrt(180)*3*2 + 5 + sqrt(180) + 2)**2.
-8874 - 612*sqrt(5)
Simplify (-4 + (1 + -2 + sqrt(539) + 1 - ((sqrt(539)*-2*2 - sqrt(539) - sqrt(539)) + -1))*-6)**2.
5880*sqrt(11) + 950896
Simplify 6*(1 + sqrt(272) + -2 + 1 + -4*(-2 + -2 + sqrt(272) + sqrt(272)))**2.
-5376*sqrt(17) + 81504
Simplify (-2*sqrt(2940) - sqrt(2160)*-3)/(-2*-6*sqrt(12)*-2*-2).
sqrt(5)/12
Simplify -3 + 0 + ((5 + sqrt(125) + (2*sqrt(125) - sqrt(125)) - 3*(sqrt(125) - (sqrt(125) + 0)))*1)**2.
100*sqrt(5) + 522
Simplify ((sqrt(180)*4)/(sqrt(90)*5) + 5)**2 - ((sqrt(32)/sqrt(2)*-1)/sqrt(8) - (((sqrt(8)/sqrt(4))**2 + sqrt(2) - sqrt(2))*6 + (sqrt(72)/sqrt(4))/sqrt(9))).
10*sqrt(2) + 957/25
Simplify -5 + (4*(sqrt(198)/(sqrt(36)/sqrt(4))*-3)/(-2*sqrt(44)/(sqrt(4) + sqrt(64))))**2.
1795
Simplify (3*sqrt(1274) - sqrt(1274))/(-2*sqrt(4)/sqrt(2)) - (-3 + sqrt(26)/(sqrt(4)/sqrt(32)))*-6.
-18 + 17*sqrt(13)
Simplify ((-3 + sqrt(76) - sqrt(19)) + -3)*-3 + -5*((3*sqrt(133)*4)/sqrt(7))**2.
-13662 - 3*sqrt(19)
Simplify ((2*sqrt(650) - (-5*sqrt(26)*2 + sqrt(26)))/(sqrt(10)/(sqrt(20)/sqrt(4)) + sqrt(24)/(sqrt(24)/sqrt(2))))**2 + -4.
4677/4
Simplify ((sqrt(1980)*5 - (sqrt(55) + -2*sqrt(2695)))/(1*sqrt(1620)*-1))**2*-3.
-20339/108
Simplify 2*(sqrt(45)/(((1*sqrt(90) - sqrt(90)) + sqrt(90) + sqrt(90))/sqrt(10)))**2 + sqrt(90)/((sqrt(600) + sqrt(24))/sqrt(12)) + 4.
sqrt(5)/2 + 13/2
Simplify -4 + (2*(sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - 4*sqrt(68)))))*3)/(-6*((sqrt(4) - -5*(sqrt(4) + sqrt(4)*-2)) + sqrt(4))) + 2.
-5*sqrt(17)/3 - 2
Simplify ((2*sqrt(192) + -5 + sqrt(192) + -1*sqrt(192)*1 + -5 + sqrt(192)*2 + (sqrt(192) - -3*(sqrt(192)*3 + sqrt(192))))*-1)**2.
-2720*sqrt(3) + 55588
Simplify 4 + (sqrt(80)*1*2 + (sqrt(80) - (-3 + -3*sqrt(80))) + sqrt(80) + -2*1*sqrt(80) + (-6*sqrt(80)*-1 - sqrt(80)) + 3)**2.
480*sqrt(5) + 8040
Simplify (1*sqrt(864)*-6 + (sqrt(864) - sqrt(864)*-2)*1)/(-5*sqrt(56)/sqrt(7) - (sqrt(8) - 1*sqrt(8)*-6)).
3*sqrt(3)/2
Simplify (-1*sqrt(459)*-4*-1)/((sqrt(84)*-3)/(sqrt(7)*1*-2)).
-4*sqrt(17)
Simplify (-4 + (-4*sqrt(363)*-2*-3*2)**2)*-6 + 4.
-5018084
Simplify 0 + ((sqrt(10) + (sqrt(10) - -1*sqrt(40)) + sqrt(10))/((sqrt(30)/sqrt(2))/sqrt(3)))**2*-5 + 2 + -2.
-250
Simplify ((sqrt(450) - (sqrt(450) + 1 + sqrt(450))) + 2 - ((sqrt(450) - (sqrt(450) + sqrt(450) + -2)) + -1))**2 - (((sqrt(200) + 4)*-4 - sqrt(200))*6)**2.
-189216 - 57600*sqrt(2)
Simplify -2*(sqrt(648)*3 - -3*sqrt(18)*6)/((6*sqrt(72)*-2 + sqrt(72))/(-2*sqrt(432))).
-864*sqrt(3)/11
Simplify -1 + (1*1*sqrt(108) + (sqrt(108) - (-2*sqrt(108) + -3)))**2 + ((sqrt(108)*-1)/sqrt(3))/(sqrt(12) + 1*sqrt(588)).
1151*sqrt(3)/8 + 1736
Simplify (2*sqrt(252) + sqrt(252))*-4*-4 + (5 + sqrt(567)*1 + sqrt(63))**2 + 4.
1037 + 408*sqrt(7)
Simplify (((sqrt(245) + -1*sqrt(245))/sqrt(7) + (-3*sqrt(140))/sqrt(4))/((sqrt(605) + sqrt(605) + sqrt(605)*-2 + (sqrt(20) - sqrt(20)*-2) + sqrt(5))*5))**2.
9/175
Simplify (-5*(sqrt(119) - -3*sqrt(119) - sqrt(119)) + sqrt(119) + -5*((-2*sqrt(119) - sqrt(119)) + sqrt(119)))/(3*(sqrt(63)*1)/sqrt(9)*-1).
4*sqrt(17)/3
Simplify (-4 + 5*1*(-2 + sqrt(245)) - (3 + (5*(0 + sqrt(245) + sqrt(245)) - sqrt(245)))*-5)**2.
700*sqrt(5) + 612501
Simplify ((-4 + sqrt(108) + 2 - sqrt(108) - -4*1*sqrt(108)) + -4 + sqrt(108) + -2 + 0 + -3 + sqrt(108)*2)**2.
-924*sqrt(3) + 5413
Simplify ((sqrt(68) + -3*sqrt(68) + sqrt(68) + sqrt(68))/sqrt(2) - sqrt(374)/(-3*sqrt(11)))/((sqrt(242) + (1*-2*sqrt(242) - sqrt(242)) + sqrt(242))*4).
-sqrt(17)/132
Simplify 2*(-5 + sqrt(1216) + sqrt(1216) + -5*sqrt(19)*-2)*5 + 5.
-45 + 260*sqrt(19)
Simplify ((2*(sqrt(143)*-1 - sqrt(143) - sqrt(143)) + (-1*sqrt(143) - sqrt(143))*-4 + sqrt(143))*1)/(-1*-3*(-1*sqrt(11)*-1 + sqrt(11))).
sqrt(13)/2
Simplify (3 + (((sqrt(14) - (1*sqrt(1694) - sqrt(14)) - sqrt(14)) + (sqrt(126) - -1*sqrt(126))/sqrt(9))/((sqrt(8) + sqrt(8) + sqrt(8)*-4)*1))**2)*-3.
-93
Simplify -2*(((-1*sqrt(100))/sqrt(2) - sqrt(50))/(sqrt(30)/(sqrt(9)/sqrt(3))) + (-1 + sqrt(605))*-2*-6)**2.
-169288 + 6240*sqrt(5)
Simplify (0 + ((4 + -1*sqrt(720) + -2 - 1*(sqrt(720) + -2 + 1))*-4)**2)*2.
-4608*sqrt(5) + 92448
Simplify -6*(((((sqrt(192) - (-1*2*sqrt(192) + sqrt(192) + sqrt(192)) - sqrt(192)) + sqrt(192))*-4)/((-2*sqrt(288) - sqrt(18))/sqrt(3)))**2 + 0).
-1024/27
Simplify -3 + 3*(1 + -1*sqrt(1377)*-3 + ((3 + 1*sqrt(1377) - sqrt(1377)) + (sqrt(1377) + 0 + -5 - sqrt(1377)))**2).
12 + 81*sqrt(17)
Simplify ((sqrt(2178) - (-5*sqrt(2178)*2 - sqrt(2178) - sqrt(2178))) + (1*sqrt(2178) + sqrt(2178) - sqrt(2178))*-4)/(sqrt(162)/sqrt(3) - 4*sqrt(486)).
-3*sqrt(3)
Simplify (1 + sqrt(5)*-3*-4*-1)**2 - (sqrt(5) + 4 + sqrt(5) + 2 - (sqrt(320)*-3 - sqrt(5)))**2.
-2960 - 348*sqrt(5)
Simplify (4*5*sqrt(343)*-4 + ((-2*sqrt(343) - sqrt(343))*4 - sqrt(343)) + -1*(sqrt(343) - ((2*sqrt(343) - sqrt(343) - sqrt(343)) + sqrt(343))) + -2)**2.
2604*sqrt(7) + 2966611
Simplify (-6*((sqrt(1008) + 2)*-1 + 2 + sqrt(1008) + 0 + 4 + 5 + (sqrt(1008)*1 - sqrt(1008))))**2.
2916
Simplify (((1*sqrt(209)*2 + sqrt(209) + sqrt(209) - sqrt(209))/(sqrt(33)/(sqrt(3) + (sqrt(3) - sqrt(6)/sqrt(2)))))**2 + 3 + -1 + sqrt(304)*-1)*5.
-20*sqrt(19) + 865
Simplify (4 + -3 + sqrt(833) + -1)*2 - (-5 + ((-3*sqrt(1088))**2 - (sqrt(1377) + 0)**2)).
-8410 + 14*sqrt(17)
Simplify ((sqrt(121)*-1*3 + sqrt(121) + -1*sqrt(121)*2)*-3)/((-3*sqrt(176)*5 - sqrt(176))*3).
-sqrt(11)/16
Simplify (sqrt(224)/((sqrt(64) - sqrt(4)) + sqrt(4))*-3)/((sqrt(32)/sqrt(2))/sqrt(2) + (sqrt(80) + sqrt(80) + (sqrt(80) - sqrt(80)*1))/sqrt(10))*4.
-sqrt(7)
Simplify (-5*sqrt(228)*-1 + sqrt(228) + (sqrt(228) - (sqrt(228) - -4*3*sqrt(228))))/(((-2*sqrt(12)*5 - sqrt(12)) + sqrt(192)*1)*-2).
-3*sqrt(19)/7
Simplify (-2*(-2*((sqrt(1700)*2 + -4 - (sqrt(1700) + sqrt(1700) + -6*(sqrt(1700) + -1))) + 0) + -2 + 5))**2.
-22080*sqrt(17) + 981316
Simplify (5 + (sqrt(320)*2 + 3 + (sqrt(320) - (sqrt(320) + -1 + -2)))*2 + -2)**2*6.
5760*sqrt(5) + 32070
Simplify (((sqrt(135) - (1*sqrt(135) + sqrt(135) + sqrt(135)))/sqrt(3))/(sqrt(441)*1 + sqrt(441)) + ((-2*sqrt(245))**2 - (sqrt(5) + -3)*4))*-1 + 2.
-990 + 29*sqrt(5)/7
Simplify (((sqrt(3) + -1*-2*sqrt(3))*6 - (sqrt(12)/sqrt(2)*2 - sqrt(6))/sqrt(2)) + -2*(sqrt(1728) - (sqrt(1728) - (1*sqrt(1728) + sqrt(1728))*2)))**2.
91875
Simplify -5 + (-6*(sqrt(3) + sqrt(3)*-1 + 0 - sqrt(3)*-2*-4 - ((-1 + sqrt(300))*5 + -1)))**2.
-25056*sqrt(3) + 364603
Simplify -5 + ((sqrt(432)*2)/(sqrt(400) + (-3*sqrt(400) - sqrt(400)))*-4)**2 + -2.
17/25
Simplify ((sqrt(21) + (sqrt(21) - sqrt(21)*-2))*5)/(sqrt(81)/sqrt(3)) + (-2*sqrt(84))/sqrt(243).
56*sqrt(7)/9
Simplify 1*((sqrt(40) + (sqrt(40) - sqrt(200)/(sqrt(35)/sqrt(7))))/sqrt(4))/(1* | {
"pile_set_name": "DM Mathematics"
} |
15. Let a(j) = 10*j**3 - 25*j**2 - 55*j + 77. Let z(r) = 4*a(r) - 21*b(r). Give z(5).
-77
Let o(m) be the first derivative of -m**4/4 - 8*m**3/3 - 9*m**2/2 - 5*m - 704. Calculate o(-7).
9
Let g(i) = 185*i - 186*i + 0*i**2 - 1 - i**2 - i**2 + i**2. Let q = 14 + -16. Determine g(q).
-3
Suppose -5*x - 4*i = -29, 0*i - 2*i = x - 7. Suppose -g = -0*l + l - x, -2*l + g = -19. Let p(y) = y**3 - 9*y**2 + 9*y - 12. Calculate p(l).
-4
Let d = -1 - 2. Let b(o) = 6*o. Let s(v) = -v - 1. Let z be 6/(-1*3)*298/596. Let k(j) = d*s(j) + z*b(j). Determine k(4).
-9
Let m(u) = -u**3 + 30*u**2 + 29*u + 60. Let a be m(31). Let p(t) = -2*t**3 - 4*t**2 + 4. What is p(a)?
4
Let k(c) = c**2 + 5*c - 5. Let o = -42 + 54. Suppose 0 = -4*a + o*a - 16. Suppose -32 = p + 3*p + 4*b, 3*b + 17 = -a*p. Give k(p).
9
Suppose 50*k - 20 = 46*k. Suppose -2*n = -4*c + 8 + 14, -5*c = 4*n + k. Let r(x) = -c - 308*x + 306*x + 2. Calculate r(-5).
9
Let g be 2 - -10*1/(-2). Let r(d) = 9*d**2 - 6*d + 194. Let j(l) = 12*l**2 - 8*l + 249. Let h(p) = -7*j(p) + 9*r(p). Determine h(g).
-30
Let t(u) = -116*u**2 + 9*u**2 + 16*u + 8 + 118*u**2 + 2*u**3. Calculate t(-4).
-8
Let g(p) = -p**3 - 37*p**2 - 69*p + 27. Let r be g(-35). Let l(w) = -8*w - 62. Let b be l(r). Let j(f) = -2*f + 1 - 1 + 2. Give j(b).
-2
Let g = -12844 - -12844. Let f(b) be the second derivative of -1/2*b**3 + g + 34*b + 5/2*b**2. Give f(6).
-13
Let x = 10968 + -10973. Let q(f) = -f**3 - 8*f**2 - 20*f - 18. What is q(x)?
7
Let k(n) be the third derivative of n**5/60 + 9*n**4/8 + 9*n**3 + 4*n**2 + 141. Calculate k(-24).
-18
Let k(z) = -15*z**2 + 9*z - 14. Let l(d) = 17*d**2 - 9*d + 17. Let b(u) = 9*k(u) + 8*l(u). Suppose -2*g - 1 = -17. Suppose -r = -2*r - g. What is b(r)?
2
Let y(q) = q**3 + 14*q**2 + 16*q + 7. Let h be y(-13). Let j = 32 + h. Let k(u) = j*u + 3*u - u**2 - 6*u. Calculate k(-3).
0
Suppose -16 = 2*u + 3*f, -4*u + 4*f - 3 = 49. Let v(q) = -q**2 - 5*q + 8. Give v(u).
-58
Let x be (-64 - -66) + (-1 - -1*1). Let k(l) = 29*l**2 - 13 - 10*l - 58*l**2 + 28*l**x. Give k(-6).
11
Suppose -50*g - 2 = -51*g. Let i(p) = -p**3 + 5 - 71*p**2 + 69*p**2 + g - 4. Calculate i(0).
3
Let a(k) = k**2 - 2*k - 150. Let c be (-3)/(-12) - 19/76. Calculate a(c).
-150
Suppose -4*d - 2*p - 1141 = -1157, -3*d + 3*p = 6. Let w(n) = n - 2. Let l(h) = 2 - 2 + 1. Let i(c) = d*w(c) + 3*l(c). Give i(4).
7
Let t(u) = -2*u**3 + 4*u**2 - 2*u - 2. Suppose -22*b - 8*b + 86 = 13*b. Suppose 0 = 5*v - 9 - 1. Suppose 4*a + a + b*q - 18 = 0, -v*a = -3*q + 8. Give t(a).
-6
Let u(h) = -2*h + 52231 - h - 52249 + 5*h - h. Determine u(5).
-13
Suppose 3*q + 2*h + 4 = 0, -q - 3 = -0*q + h. Let k(i) = 6*i + i**q - 9 - 2*i**2 + 16. Let v be -4 - ((-50)/10 + -6). Determine k(v).
0
Let b(n) = -2*n**2 + 3*n - 3. Let z(k) = 6*k + 0 - 6 - 4*k**2 + 1. Let r(j) = -j**2 - 71*j - 1263. Let f be r(-37). Let p(w) = f*b(w) + 3*z(w). Determine p(2).
-2
Suppose 38 = 8*j - 10. Suppose j = -11*a + 28. Let v(g) = -g + 19 - a + 2 - g**3 + 0*g**3. Determine v(0).
19
Suppose -a + 2*h + 8 = -294, -5*a + 1565 = h. Let d = -319 + a. Let v(i) = i + 4. Determine v(d).
-3
Suppose -3*y + 4*y - 3*h = 22, -5*y + h + 40 = 0. Suppose -2*z = -u + 9 + y, -u + z + 11 = 0. Suppose u = 5*l - 4. Let o(m) = 2*m**2 - 2*m - 1. Determine o(l).
3
Let x(o) = 232*o + 925. Let m be x(-4). Let q(v) = -3*v**2 - 5*v + 2*v - 2 - v**3 + 2*v. What is q(m)?
1
Let b be (-9)/3 - -4 - (30/(-5) - -1). Let m(f) = f**3 - 4*f**2 - 10*f - 10. What is m(b)?
2
Let a(w) = -w**3 + 8*w**2 + 2. Let p be 850/110 + 33/121. Calculate a(p).
2
Let x(k) = -k**3 - 7*k**2 + 2*k - 3. Let f = 294 - 29. Let w = -272 + f. Determine x(w).
-17
Let l(n) = -9*n**3 - 9*n**2 + 8*n - 7. Let z(x) = -2*x**3 - x**2 + 2*x - 1. Let r(a) = l(a) - 5*z(a). Suppose -4 = u - 5*k + 12, -3*u = -3*k. Determine r(u).
-10
Let x(o) = -o**3 + 2*o**2 - o + 17. Let v be 33/(-495) + 6/90. Give x(v).
17
Let f(h) = 18*h + 11*h - 79*h + 26*h - h**2 + 31 + 27*h. Give f(9).
-23
Let n(c) be the second derivative of 7*c**3/6 - 11*c**2 - 2*c + 17. Let x(k) = 10*k - 32. Let t(i) = 7*n(i) - 5*x(i). Determine t(-5).
11
Let j(i) = 9*i**2 + 20*i + 88. Let a be j(-6). Suppose -30 = 295*q - a*q. Let o(w) = w + 3. What is o(q)?
-7
Let f(o) = 71*o**2 - 2*o + 52. Let x(d) = -12*d**2 - 1. Let k(v) = f(v) + 6*x(v). What is k(-8)?
-2
Let d be ((-35)/20)/((-1)/(-4))*-1. Let u(l) = -5*l + d - 2*l + 8*l - 2. Give u(-8).
-3
Let l(p) be the first derivative of p**2/2 + 4*p - 1. Let z(a) = 1881*a + 78999. Let n be z(-42). Determine l(n).
1
Let h = -259 + 298. Suppose h*c = 37*c - 2. Let k(y) = -2*y - 1 - 4*y + 0*y. Give k(c).
5
Let x(g) = 4*g**3 + 2*g**3 + 16 - 5*g**3 - 15*g**2 - 16*g. Suppose 5*v - 59 = -4*w, 1122 = 4*v + 1126. What is x(w)?
16
Let j(i) = -i**2 - 4*i - 3. Let p be j(-3). Let u(b) = -3*b + p + b**2 - 4*b + 0*b**2 - 5. Suppose -14*f + 22 = x - 9*f, 0 = -2*x + 2*f + 8. Calculate u(x).
-5
Let a(j) be the second derivative of -j**3/6 - 5*j**2/2 + 100*j. Let c be 26/(-5) - (-3)/15. Determine a(c).
0
Let j(w) = 11 - 11 + 3*w. Let a = 76 + -74. Suppose -5*i = -5*y - 8 - 2, 0 = -2*y - a*i - 4. What is j(y)?
-6
Let m be (-12)/(-8)*268/6. Let l(z) = 39*z - m*z + 29*z. Calculate l(-6).
-6
Let d(n) = n**3 + 5*n**2 + 3*n + 3. Let r = -237 - -237. Suppose 0 = 2*a + 5*i + 3, r = a - 132*i + 137*i - 1. Determine d(a).
7
Let h(u) = u**2 + 6*u - 25. Let g = -3866 + 3866. Determine h(g).
-25
Let k(u) = -u**3 + 8*u**2 + 6*u + 6. Let j(f) = -f**2 - f - 1. Let z(t) = 6*j(t) + k(t). Let m = 28616 - 28615. Determine z(m).
1
Let p(m) = -m**3 - 62*m**2 + 2*m + 68. Let h(b) = -b**3 - 74*b**2 + 2*b + 67. Let a(y) = -2*h(y) + 3*p(y). Determine a(-38).
-6
Let a be 270/14 - 0 - (-4)/(-14). Let z(u) = -a*u**2 + u**3 - 10*u + 16 + 7*u**2 + 19*u. Give z(11).
-6
Let r(b) = -b**2 - 8*b + 14. Let m = -238 - -232. Give r(m).
26
Let f = 905 + -903. Let a(w) = w**3 - w**2 + 6*w - 7. Calculate a(f).
9
Let n(y) = 4*y - 13. Let s(l) = 4*l - 30. Let f(g) = -2*g - 1. Let b(v) = -2*f(v) + s(v). Let i(z) = 6*b(z) - 13*n(z). What is i(3)?
-11
Let z(o) = -2*o**2 - 7*o - 7. Let j be z(-1). Let n(s) = 3*s**2 - 5*s - 5. Let x(d) = -17*d**2 + 25*d + 25. Let m(y) = j*x(y) - 11*n(y). Determine m(-6).
11
Let q(m) = 10*m + 4. Let z(w) = 2*w - 1. Let x(p) = -q(p) + 6*z(p). Let g(j) = 7*j - 27. Let k(v) = -3*g(v) + 8*x(v). Determine k(-9).
46
Let y(z) = 12*z + 18. Let x(q) = -11*q - 19. Let a(c) = -5*x(c) - 6*y(c). Let l(v) = -9*v - 7. Let n(i) = -6*a(i) + 11*l(i). Let h = -12 - -10. Calculate n(h).
-5
Let l = -55 - -67. Suppose -l = z + z. Let t(c) be the second derivative of -c**3/6 - 6*c**2 + c + 44. Calculate t(z).
-6
Let g(f) = -32*f + 135. Let m(h) = 6*h - 7. Let t(b) = -g(b) - 6*m(b). Give t(-22).
-5
Suppose -4*a = 2*d + 30, 0 = 4*a - 4*d - 0*d. Let i(w) = w**3 + w + 5*w**2 - 3*w - 2 - 3*w + 4*w. What is i(a)?
3
Let k be ((30 - 2)/2)/(-2). Let h(j) = -1408172*j + 2*j**2 - 4 + 1408189*j + 12. Give h(k).
-13
Suppose z + 65 = 2*h, -35 = -h + 21*z - 23*z. Let i(w) = -h*w + 7 - 13*w + 45*w. Determine i(10).
-3
Let q be 1 - (5 - 20/2). Let n(g) = -40*g**2 - 1 + 62*g**2 - 7*g - 27*g**2 + g**3 + g. Determine n(q).
-1
Let b(j) = -21*j**2 - 339*j - 39. Let k be b(-16). Let f(r) = -2*r + 8. Let l(n) = 2*n - 8. Let w(i) = 3*f(i) + 4*l(i). What is w(k)?
10
Let q = -268 + 269. Let t(u) = -q + 34*u - 17*u - 16*u + 6. What is t(-4)?
1
Suppose 7*v = 6*v + 36. Suppose 0 = -31*q + v*q + 205. Let k = -46 - q. Let m(f) = -f**2 - 2*f + 7. Determine m(k).
-8
Let b be 5/(-2) - (5 - (-21)/(-2)). Let r(v) = v**2 + 68*v - 209. Determine r(b).
4
Let c(s) be the first derivative of 3*s**2/2 + 6*s + 759. Let h be (-18)/(-3)*(9/(-3))/3. What is c(h)?
-12
Let k be (-18)/(-1) + 11 + (-3 - 8). Let z(a) = 4*a - 77. Let o be z(k). Let j(l) = -l**2 - 5*l. Give j(o).
0
Suppose 306 = 6*m + 144. Let v(r) = r**3 - 27*r**2 + r - 31. Determine v(m).
-4
Let n(s) = -8*s + 7*s**2 - 20 - 6*s**2 + s - 399 + 0*s. Let m be n(24). Let x(a) = 16 + a + 0*a**3 + 11*a**2 + a + a**3. What is x(m)?
-6
Let y = -182 - -202. Suppose -2*k + y = 3*k, 2*b + 3*k = 24. Let r(w) = -w**2 + 6*w - 4. Calculate r(b).
-4
Let n(u) be the second derivative of 13/6*u**3 + 15/2*u**2 + 1/24*u**4 + 9*u + 0. Let l(w) be the first derivative of n(w). Give l(-9).
4
Let g = 0 + 10. Let w(j) be the first | {
"pile_set_name": "DM Mathematics"
} |
ing order.
-42, -7, -1, 9
Put -3, 3277, -4, 1, -1 in increasing order.
-4, -3, -1, 1, 3277
Sort 245.7, 2, 18 in increasing order.
2, 18, 245.7
Put 4, 5, -161, 157 in decreasing order.
157, 5, 4, -161
Sort -9, 1, -3, 12, 4 in descending order.
12, 4, 1, -3, -9
Sort 5, -5, -2475664, 2, -1 in decreasing order.
5, 2, -1, -5, -2475664
Put -1/4, -1/5, -4.3, 2/283, -0.5 in decreasing order.
2/283, -1/5, -1/4, -0.5, -4.3
Put -2, 50623, 3, -5 in decreasing order.
50623, 3, -2, -5
Put -28, -3, -4, 32, -0.4 in increasing order.
-28, -4, -3, -0.4, 32
Put 5, -688, -5, -1/2 in ascending order.
-688, -5, -1/2, 5
Put -19, 104588, 2 in decreasing order.
104588, 2, -19
Put 5, 26, 3, 1, -10, -4 in increasing order.
-10, -4, 1, 3, 5, 26
Sort -4, -199, 0, 4, 5.
-199, -4, 0, 4, 5
Sort -0.3, 409181, -2/13 in increasing order.
-0.3, -2/13, 409181
Put -10380, 2, -4/9, 3/7, -5 in increasing order.
-10380, -5, -4/9, 3/7, 2
Sort 29, -559, 8 in decreasing order.
29, 8, -559
Put -18, 0, 1/6, 0.038, 0.3, -1 in ascending order.
-18, -1, 0, 0.038, 1/6, 0.3
Sort -1, -2, -5, 1, 17, 781.
-5, -2, -1, 1, 17, 781
Sort 5/14, 172, -72 in decreasing order.
172, 5/14, -72
Put 3, 98, -1, 0, -2, 8 in increasing order.
-2, -1, 0, 3, 8, 98
Put -3, -3/7, -3/4, -1, -232 in ascending order.
-232, -3, -1, -3/4, -3/7
Put 9, -4, -3, 2 in descending order.
9, 2, -3, -4
Sort -0.6, 8, 1, 0.4 in descending order.
8, 1, 0.4, -0.6
Sort -6, -14, 114, -4 in descending order.
114, -4, -6, -14
Put 3/4, -2, 973, 4, -0.03 in ascending order.
-2, -0.03, 3/4, 4, 973
Put -68, 11, 5, 22 in decreasing order.
22, 11, 5, -68
Sort 1/2, 1/395, -0.5, -2, -4 in increasing order.
-4, -2, -0.5, 1/395, 1/2
Put 4, 281, 1/7, 1, -0.4 in decreasing order.
281, 4, 1, 1/7, -0.4
Sort -1/3, -1/11, -1, 0.5, 188.
-1, -1/3, -1/11, 0.5, 188
Sort -6, -4, -21, 2, -3, 4.
-21, -6, -4, -3, 2, 4
Sort -13, 20, 5, -1, 4 in decreasing order.
20, 5, 4, -1, -13
Sort 1, -2, -3180, 5, -5 in decreasing order.
5, 1, -2, -5, -3180
Put -12, -1, 332, -5 in decreasing order.
332, -1, -5, -12
Sort -2/3, 2/13431, 2/3, -0.5, -1 in decreasing order.
2/3, 2/13431, -0.5, -2/3, -1
Put -24, 10, -0.08, -1/4, -5 in increasing order.
-24, -5, -1/4, -0.08, 10
Sort -10, 154, 3, 0, 2 in decreasing order.
154, 3, 2, 0, -10
Put 17, -2, 31, -4 in decreasing order.
31, 17, -2, -4
Sort 12, -80, -18 in increasing order.
-80, -18, 12
Sort 0.09, -4, -14.6, -0.1, -2, 1.
-14.6, -4, -2, -0.1, 0.09, 1
Sort 586, -176, -3 in ascending order.
-176, -3, 586
Put -1, -6, -284, -5 in ascending order.
-284, -6, -5, -1
Sort 1, -3, 3/4, -16/41 in decreasing order.
1, 3/4, -16/41, -3
Sort 0.2, -4, -2/85, -3/4 in increasing order.
-4, -3/4, -2/85, 0.2
Put 2, 101403, 4 in decreasing order.
101403, 4, 2
Sort -2, -9, 0, 368 in ascending order.
-9, -2, 0, 368
Put -17, 5, -5, 6, 3, 7 in ascending order.
-17, -5, 3, 5, 6, 7
Put 3, -2, -3, 4, 0, -2107 in descending order.
4, 3, 0, -2, -3, -2107
Sort 1/7, 5, 2/4341, -1/2 in descending order.
5, 1/7, 2/4341, -1/2
Sort -0.1, -0.3, 0.1, -200 in descending order.
0.1, -0.1, -0.3, -200
Put -5, -3/10, -6, -15, 94 in descending order.
94, -3/10, -5, -6, -15
Put -4, 44, 4, 299 in increasing order.
-4, 4, 44, 299
Sort -3, 0.1, -8, -9 in decreasing order.
0.1, -3, -8, -9
Sort 3, 0, 17, 1, 4, -10 in decreasing order.
17, 4, 3, 1, 0, -10
Sort 1, 4, -12, 531 in descending order.
531, 4, 1, -12
Sort 519, -15, -2, 5 in increasing order.
-15, -2, 5, 519
Sort 0.00742, 6/5, -3 in increasing order.
-3, 0.00742, 6/5
Sort -0.5, -3, 333/250, -2 in descending order.
333/250, -0.5, -2, -3
Sort -5, -192, 3, 2, 1, -4 in decreasing order.
3, 2, 1, -4, -5, -192
Sort 15/2, 1, 4, 0, 0.7.
0, 0.7, 1, 4, 15/2
Sort 0.5, 4, -32.1, -2, 1294.
-32.1, -2, 0.5, 4, 1294
Put -2076, -3/7, 0.5, 2/13, 0, -1 in increasing order.
-2076, -1, -3/7, 0, 2/13, 0.5
Put -11, 17, -1, 1 in decreasing order.
17, 1, -1, -11
Sort -1, 1, 2, 10, -5, 5 in increasing order.
-5, -1, 1, 2, 5, 10
Sort -0.04509, -0.01, 4 in descending order.
4, -0.01, -0.04509
Sort 5000, 5, -2, 1 in increasing order.
-2, 1, 5, 5000
Sort 3.77, 0.4, -1.3, 2/11, -5/4 in descending order.
3.77, 0.4, 2/11, -5/4, -1.3
Put -4, 179, 3, 12 in increasing order.
-4, 3, 12, 179
Sort -0.5, 313, -3/5, -0.22.
-3/5, -0.5, -0.22, 313
Sort 239, -4, -2, 9, 0, 3 in descending order.
239, 9, 3, 0, -2, -4
Sort -5, -23, 0, -3, -29 in ascending order.
-29, -23, -5, -3, 0
Sort -1, 7, -18, -296 in increasing order.
-296, -18, -1, 7
Sort 2, 2973, 0 in increasing order.
0, 2, 2973
Put -3, -1.02, 896 in descending order.
896, -1.02, -3
Put 4, 2, -24, -5 in descending order.
4, 2, -5, -24
Sort -124, -11, 5, 1 in ascending order.
-124, -11, 1, 5
Put 4, 5, 78, 3, 2, 7 in descending order.
78, 7, 5, 4, 3, 2
Put 18, 16, -0.5, -4, 421 in descending order.
421, 18, 16, -0.5, -4
Put -1, -0.2, 112, 169 in descending order.
169, 112, -0.2, -1
Sort 16, 1, -212.
-212, 1, 16
Put 3/5, 1/8, 0.5, 46, -17, 0.67 in decreasing order.
46, 0.67, 3/5, 0.5, 1/8, -17
Sort -0.5, 4/9, 0, -438, 1/4 in decreasing order.
4/9, 1/4, 0, -0.5, -438
Put 3, 5, -9, 42, 4, 28 in decreasing order.
42, 28, 5, 4, 3, -9
Put 1, -15, -2834 in decreasing order.
1, -15, -2834
Put -3, -5, 2, 1, -1330 in decreasing order.
2, 1, -3, -5, -1330
Sort 73/4, -0.08, 2/165 in increasing order.
-0.08, 2/165, 73/4
Put -2.1, -5, 1, -423 in increasing order.
-423, -5, -2.1, 1
Sort 3, 13, -2, -4, -1, 2.
-4, -2, -1, 2, 3, 13
Put 2, -1, -3, 5616 in decreasing order.
5616, 2, -1, -3
Put 4, 21, 5, -1.1, -5 in decreasing order.
21, 5, 4, -1.1, -5
Sort 84, 139, 2, 5 in decreasing order.
139, 84, 5, 2
Sort 4/253, 0.2, -1/132 in ascending order.
-1/132, 4/253, 0.2
Put 3887, -5, -3 in descending order.
3887, -3, -5
Sort 16, -1, -11866 in descending order.
16, -1, -11866
Sort 3/4, 553, -0.19.
-0.19, 3/4, 553
Sort 427, -62, -4, 0.5.
-62, -4, 0.5, 427
Sort 11, 0, 2211 in ascending order.
0, 11, 2211
Put -1932, 1, 13, 0 in ascending order.
-1932, 0, 1, 13
Sort 243, -4, 17, 4, -3 in ascending order.
-4, -3, 4, 17, 243
Sort -291, -6, 0, 5, -1, -5.
-291, -6, -5, -1, 0, 5
Put 12321, -3, 2 in increasing order.
-3, 2, 12321
Sort -58, -1/7, 2/145 in descending order.
2/145, -1/7, -58
Put -6, 914, 5, -8 in descending order.
914, 5, -6, -8
Sort 1.9, -438, 4.
-438, 1.9, 4
Sort 1, -0.3, -2/507, -6 in ascending order.
-6, -0.3, -2/507, 1
Put 2972, 4, -5, 3, -1 in decreasing order.
2972, 4, 3, -1, -5
Put 8, 104, 0.089 in ascending order.
0.089, 8, 104
Sort -0.4, -2/11, -2/243, -22 in decreasing order.
-2/243, -2/11, -0.4, -22
Sort 1, -9, 163, -3, 0, 4.
-9, -3, 0, 1, 4, 163
Sort -4, 144, 0.05, -2/13, 3, 1.
-4, -2/13, 0.05, 1, 3, 144
Put -3, -4, -411, -2 in decreasing order.
-2, -3, -4, -411
Put 2, 111781, 5 in descending order.
111781, 5, 2
Sort -11, 4, -1, 67, -2, 0 in descending order.
67, 4, 0, -1, -2, -11
Sort -2/3, -49736, -1/5 in increasing order.
-49736, -2/3, -1/5
Sort 5, 3, -5, 0, 1368 in decreasing order.
1368, 5, 3, 0, -5
Put 0.4, 0.84, 1/4, 0.1, 34 in increasing order.
0.1, 1/4, 0.4, 0.84, 34
Put 0.4, -19, 214/5 in descending order.
214/5, 0.4, -19
Sort -9, -9443, 0, -1, 4.
-9443, -9, -1, 0, 4
Sort 6/73, 1/4, 0, -3, 1 in increasing order.
-3, 0, 6/73, 1/4, 1
Put 3, -5819, -4 in descending order.
3, -4, -5819
Put -2/19, -4/5, -3, 0.3, 310 in descending order.
310, 0.3, -2/19, -4/5, -3
Sort -11, 4, 5, -73, -5.
-73, -11, -5, 4, 5
Put -8412, -4, -1 in decreasing order.
-1, -4, -8412
Put -2, -12, 15, 5, -5 in ascending order.
-12, -5, -2, 5, 15
Put -2/3, 0.4, 4/3, 65308 in descending order.
65308, 4/3, 0.4, -2/3
Sort 228, 181, 4, 2 in decreasing order.
228, 181, 4, 2
Put 4, 5, 45, 88, 0 in decreasing order.
88, 45, 5, 4, 0
Put 5, 2, 0, -5, -2, -223 in decreasing order.
5, 2, 0, -2, -5, -223
Put 5, -4/3, 0.3, 0.5, 4.25 in descending order.
5, 4.25, 0.5, 0.3, -4/3
Sort 3/8, -158, 2/3, -0.5, -1.
-158, -1, -0.5, 3/8, 2/3
Sort -1/2, 1/4, -0.01, 17, 0.4 in increasing order.
-1/2, -0.01, 1/4, 0.4, 17
Put 5, -0.5, -6, 20, 2/7, 619 in ascending order.
-6, -0.5, 2/7, 5, 20, 619
Sort -14315, -5/6, -1/3 in decreasing order.
-1/3, -5/6, -14315
Sort 5, -30, -5, -3, 4, 2.
-30, -5, -3, 2, 4, 5
Sort -6506, 5, -1/3 in descending order.
5, -1/3, -6506
Put 78, -4, -2, -5, -21 in ascending order.
-21, -5, -4, -2, 78
Sort -1, -0.2, -0.8, 3, -0.4629 in | {
"pile_set_name": "DM Mathematics"
} |
ose -3*w + 8*w = 0. Solve -2*h - 4*i - u = w, 2*h - 10 = 3*i + 9 for h.
2
Let c(p) = -2*p**2 + 19*p + 19. Let d be c(18). Let v = -285 - d. Solve -3*x = -a - 7 + v, -4*a - 2*x = 20 for a.
-5
Let c(m) = 6*m**2 + m. Let l be c(-1). Let a = -3 + 8. Let k = 317836 + -317813. Solve -q + k = -a*z, -z = 5*q - 6 - l for z.
-4
Let q = 127 - 91. Suppose -2 - 94 = 3*h. Let t = h + q. Solve -3*l = t*d + 15, 2*d - 5 = 4*l + 15 for l.
-5
Let a(w) = 2*w - 3*w - 18 + w**3 + 4 + w**2. Let c be a(0). Let m = c - -24. Solve 5*r - 5*k - 25 = 0, 5*r + 5*k - m = 3*r for r.
5
Let q(p) be the second derivative of 2*p**3/3 - 23*p**2/2 + 4*p. Let u be q(8). Suppose 2*s = 3*s - u. Solve 3*i - s = -2*b, b + 2*b - 3 = -i for b.
0
Let l = -42 + 38. Let f(h) = -h**2 - 5*h - 2. Let w be f(l). Solve 4*i + 3*o - 3 = -0, -1 = -3*i - w*o for i.
-3
Let a = 1519 + -1512. Solve -a*h + 4*h + 6 = -3*p, 2 = -4*p - 2*h for p.
-1
Suppose -5*d - 938 = a, -6*a - 4*d + 2833 = -9*a. Let f = a + 947. Solve 6*o = -j + o + 14, -2*j = -f*o + 14 for j.
-1
Let y = 353 - 353. Suppose y = 124*u - 114*u - 20. Solve -u*v = -2*d - 6, -5*v = 5*d + 51 - 16 for d.
-5
Suppose -2728*t = -2731*t - 21, -5*p - t = -28. Solve -u - 2*q = -6, 10*u + 5*q = p*u + 14 for u.
-2
Suppose -12*l - 222*l + 60 = -642. Solve -l*q = -4*z - 18, -5*z - 5*q - 2 = 3 for z.
-3
Let s be (10 + -7)/(-2 - -3). Let r(z) = 31*z + 13. Let v be r(s). Suppose -105*m - 2 = -v*m. Solve 0 = -5*f - 2*l - 2*l - 45, 4*f + 30 = -m*l for f.
-5
Let a be (111/6 - 2)/((-66)/(-748)*17). Solve 0*k - 2*k + a = 5*l, 2 = 2*k - 4*l for k.
3
Let y = 2282 + -2277. Let x be (-3*(-8)/(-24))/((-2)/2). Solve x = -3*v - 4*w + y*w, -12 = -3*w for v.
1
Let z(v) = 124*v - 100. Let d be z(1). Solve -j - 2*i + 17 = d, 4*j - 5*i = -15 for j.
-5
Suppose 491*c - 505*c + 42 = 0. Solve 0 = 4*j - 3*o + c, -13*j + 11*j = -o + 1 for j.
0
Let t(d) = -d**2 - 35*d + 4. Let v be t(-35). Suppose 3*n + 26 = v*u, -5*n + 2*n - 1 = u. Solve 5*y - 1 = 2*y - 2*b, y - u*b = -11 for y.
-1
Let g = -357 + 357. Suppose t - 2*m + 1 - 4 = g, -2*m + 17 = 3*t. Solve u + 14 = -t*c, -2*u = 3*c + u + 18 for c.
-2
Let w be (-2)/(2*1) + (-7434)/(-531). Solve -3*o + 8*m = 4*m - w, -5*o - 4*m - 21 = 0 for o.
-1
Suppose -27 = 2*d - 3*q, 10*d - 5*q + 65 = 5*d. Let i be (-150)/d - 4/(-8) - -5. Solve -f + 5 - 1 = 0, 2*y - 4*f + i = 0 for y.
-1
Let i = -3225 + 3232. Solve -4*v - 12 = -4*o, -2*o + v = -i*o - 3 for o.
0
Suppose 3*z + 2*w = -159, -2*w + w - 3 = 0. Let m = z + 67. Let k = m - 12. Solve -14 = 2*c + k*q, 3*q + 2 = q for c.
-5
Let r(q) = q**2 - 12*q - 102. Let p be r(18). Let w be ((-4)/p)/((-2)/6 - 0). Solve -u = -3*z, 3*z = 3*u - w*z for u.
0
Let x be (-2)/8 + (-108)/(-48). Suppose 0 = -o - g + 3, -2*g = o + 19 - 20. Solve 0 = -5*n - 3*q - 24, o*q = n + x*q - 6 for n.
-3
Let g(p) = 2*p**2 - 25*p + 38. Let i be g(11). Solve 2*h - 3 = -j - i, 5*j = 4*h - 10 for j.
-2
Let i be 96/(-22 - 2)*1*-1. Suppose 0 = -2*q - 12 - 16. Let w = q - -18. Solve -5*v + i*o = -3*v - 16, -w*v = -2*o - 20 for v.
4
Let q be (-7)/(-2)*(12 - (3 + 5)). Solve 2*v + 4*i = q, 8*v = 9*v + 5*i - 13 for v.
3
Suppose 3*k + 6 = 21. Suppose k*g = 5*h + 5, 4*g - 19 = -2*h - g. Suppose 15 = 5*o - 2*b, -3*b - 1 + 7 = 2*o. Solve 0*r - o*p = -2*r + 13, -h*r - p = -9 for r.
5
Let h(z) be the first derivative of -z**4/4 - 2*z**3 + z**2 + 3*z + 7. Let o be h(-7). Let j = -21 + o. Solve 4 = -4*v + 5*s, -5*v - 2*s + j = -11 for v.
4
Let x be ((13/3)/(3 - (-140)/(-45)))/(-3). Solve -10*d + 4*w = -x*d, 2*d - 3*w = 0 for d.
0
Suppose -7 = -9*k + 11. Suppose -k*j = -12 + 6. Let r = -3 - -6. Solve -5*u + 8 = r*l, 0*l - j*u = l - 8 for l.
-4
Let o(p) = p**3 + 49*p**2 - 117*p - 664. Let f be o(-51). Solve -1 = f*w - 100*w, 11 = 3*b + 4*w for b.
5
Suppose 13*w - 15*w = -32. Suppose -2*v = 2*v - w, -3*r - 5*v + 50 = 0. Solve -3*b - r = -4*i - 4*b, -5*i + b + 17 = 0 for i.
3
Let o be 15*(-7 - -3)/(-20). Solve 2*d + o*i = -10, d = -10*i - 12 - 10 for d.
-2
Let n(s) = -3*s**2 + 83*s - 489. Let l be n(19). Solve -3*z = -l*a - 137 + 133, 3*z = -4*a + 13 for a.
1
Suppose -172*q + 168*q + 2*z + 12 = 0, 0 = -2*q - z + 2. Solve 5*i + 3*v + v = -13, q*i - 3*v + 19 = 0 for i.
-5
Suppose 3*j = -3, -88 + 107 = 4*n + j. Solve a + 2*c = -6 - 9, 5*a = n*c for a.
-5
Suppose k = 6*k - 5*y - 20, -5*k + 2*y = -17. Suppose -7 = -b - 5. Suppose 5*q + 7 = s, 2*s = 2*q - 3*q + 3. Solve -s = -2*m - 5*j, -b = -k*m - j + 1 for m.
1
Let c(y) = -y**3 + 16*y**2 + 107*y - 29. Let a be c(21). Let x be 5/(-1) - (a + 1)/(-1). Solve -4*q - 2*r + 5*r = -x, -12 = 4*r for q.
0
Let v = -11996 + 12011. Let d be 5/4*4*1. Solve -5*r = -v, 22 = d*g + 2*r - 3*r for g.
5
Suppose 2*b + 3*h = 13, -5*h + 6 = 3*b - 14. Solve 17 = n - 4*t, -4*n + b*t + 35 = -0*t for n.
5
Let y(g) = -g**2 - 5*g + 3. Let n be y(-5). Suppose -114*h + 95*h - 4*x = -94, 0 = 3*h - 5*x - 43. Solve w = -n*j - 12, 3*w = j + 4*j + h for j.
-3
Let p be (5/(-3))/((-24)/72). Suppose -147 - 63 = -6*b. Suppose 0*k - 9 = -3*k. Solve p*v - b = 5*q, -5*q + 0*v + k*v = 29 for q.
-4
Suppose -4*n + 3*s + 25 = -2*s, 0 = 2*n - 4*s - 8. Suppose 2*a + n = 2*i, -5 = -4*i - 3*a + 1. Solve i*f - 13 = w, -4*f + 9 = -5*w - 3*f for w.
-1
Let y(o) = 1. Let b(z) = 23*z - 278. Let m(s) = -b(s) + 3*y(s). Let k be m(12). Solve -g - 8 = n, 0 = -k*g - 4*n + 22 - 59 for g.
-5
Let p(t) = -t**2 - 11*t + 63. Let k be p(4). Solve -3*o + 5*h = -1 + k, 5*h - 3 = 2*o for o.
1
Let z be (-2)/(-6) - (5320/(-15))/(-8). Let g be 6*(z/(-4 - -2))/6. Solve -c - g = -5*d, 4*c + d + 1 - 18 = 0 for c.
3
Suppose 29*l - 6 = 26*l. Let k(a) = -a**3 + 24*a**2 + 2*a - 45. Let t be k(24). Suppose t*i = 2*i + 8. Solve 3*f - i = p, -4*f + l = 2*p - 2 for f.
2
Let z(g) = -g**3 - 3*g**2 + 8*g + 19. Suppose 4*d + 48 - 38 = -2*c, -2 = -d - 2*c. Let f be z(d). Solve 5*u = b - 6 - f, -4*u = 8 for b.
-1
Suppose 1903*f = 1907*f - 8. Solve 11 = -3*y - 3*r + f, -4*y = r + 6 for y.
-1
Let b(n) = 0*n - n**2 - 2*n**3 - 2*n**3 - n. Suppose -12 = 4*d - 2*h, 101*d + 4*h - 17 = 102*d. Let c be b(d). Solve -c*v = -i, i + 0*i = 5*v for i.
0
Let a(s) = -s**3 + 23*s**2 + 197*s - 75. Let b be a(-7). Solve -11*t + 12*t - 3 = 4*c, -3*c = 2*t + b for t.
-5
Let n = -3128 + 3133. Solve i = g + 4, 7*g = 11*g + n*i + 25 for g.
-5
Suppose 0 = 337*j - 419*j + 410. Solve -15 = -3*n + 3*m + 6, j*n + 5 = -5*m for n.
3
Let z = 230 + -227. Suppose 3*k + 2*b - 11 = 0, -z*k - 6*b = -9*b - 6. Solve -4*i - i + 2 = k*d, 2 = 2*i for d.
-1
Let h = -141 - -156. Let i be (-2)/(((-48)/(-20))/(-6)). Solve -5*v - 28 = -i*b + 17, 5*b + v = h for b.
4
Let z = 1776 + -1774. Solve -5*t = -z*n + 28, 0 = 16*t - 19*t - 4*n + 4 for t.
-4
Suppose 2*u - 9 = -3*v - u, -3*u = -5*v + 31. Let w be (-1)/10 - (-3933)/230. Solve -z + 6*z + w = 4*h, v*h = -2*z + 13 for z.
-1
Let x(k) = 7*k**2 + 158*k - 158. Let g be x(1). Solve -t = -4*z - g, 0 = 2*t - 12*z + 10*z - 2 for t.
-1
Suppose 2*w - 4 = -2*a, 0*a - 4 = -2*w + 2*a. Let c(x) = -x**2 + 10*x - 11. Let v be c(w). Solve 4*u + 2 = v*s, -2*s + 5*s + 12 = -2*u for u.
-3
Suppose -2*v + 136 = -6*v. Let j = 89 + v. Suppose x - 6*x = -5*i + j, -3*x - 3 = -i. Solve -4*u - i = -t, -2*u - 4*t = -3*t + 15 for u.
-5
Suppose 18*x - 10*x - 27 = 21. Solve 2*k + 2*g - 3 = 3, x = -3*k + 2*g for k.
0
Let o(r) = r**3 - r**3 - 7 + r**3 + 11*r**2 - 3 - 6*r. Let m be o(-10). Suppose -3*z + m = 2*z. Solve -b = 4*b - 2*d + 35, 0 = 3*b - 3*d + z for b.
-5
Let l(r) = -r**3 - 85*r**2 + 450*r + 3. Let x be l(5). Solve -4*k + 34 = -2*g, -x*g - 26 - 1 = -2*k for g.
-5
Let x(b) = 3*b - 156. Let j(d) = -6 - 22 + d + 4 - 15. Let w(a) = 15*j(a) - 4*x(a). Let v be w(-12). Solve -4*s = -v*p + 16, 0 = 4*s - 4*p + 4 + 16 for s.
-1
Suppose q - 40 = -4*q. Let t be (-4202)/(-198) - 2/9. Suppose -t*u - 156 = -198. Solve 4*h = -5*y + q, -h = y - 0*h - u for y.
0
Let d be (-15)/6*5*(-16)/10. Let i(l) = l**3 - 22*l - d*l**2 + 10*l**2 - 10 - 3. Let r be i(12). Solve -4*s = -4, 0*s = -4*n - s - r for n.
-3
Let u = 3530 - 3526. Solve -2*r = -3*l + 11, 2*r - u*l = -19 + 3 for r.
2
Let s = 3674 + -3644. Solve 0 = 2*f - 3*m - 4 + 25, 0 = 5*f - 3*m + s for f.
-3
Suppose 0 = 72*u - 534 + 102. Solve -l - 4*l + 5*h = -10, -3*l + 2*h = -u for l.
2
Suppose -17*u + 4*u + 143 = 0. Let x = u + -10. Solve -5*i + p = -0*i + x, -p + 1 = -3*i for | {
"pile_set_name": "DM Mathematics"
} |
9 or 0?
186/1919
Which is greater: -0.02766 or -1.74?
-0.02766
Is -2/23 at most as big as -49729?
False
Are -5447 and -5387 nonequal?
True
Is 11742 bigger than 11744?
False
Is 114 greater than 9131/81?
True
Which is smaller: 0 or 3/13159?
0
Is -11617809 equal to -11617809?
True
Which is smaller: 69 or 12911?
69
Which is smaller: 6481 or 6493?
6481
Which is greater: -0.5 or 7.0162?
7.0162
Which is smaller: -1/59192 or 1?
-1/59192
Are 8187 and 8192 equal?
False
Do -108151 and -108151 have the same value?
True
Is -3168 less than -0.11?
True
Which is greater: -1 or 13/51052?
13/51052
Do 31/165 and 218 have different values?
True
Which is bigger: 249767 or 749303/3?
749303/3
Is -1898044/13 equal to -146004?
False
Do 1/90016 and -1 have different values?
True
Which is smaller: -10061 or -10110?
-10110
Is -201999/11 != -18363?
True
Is -0.2 at most 1.509392?
True
Is -718207 equal to -718208?
False
Which is greater: -324 or -333?
-324
Is -53413 not equal to -53427?
True
Which is smaller: 1.2 or 971?
1.2
Which is greater: 0 or 4/236513?
4/236513
Which is bigger: -3804 or -3813?
-3804
Which is smaller: -354 or -16301/46?
-16301/46
Does -4/760453 = 0?
False
Which is smaller: -0.3 or -8043/2?
-8043/2
Which is smaller: 16 or 2.667?
2.667
Which is smaller: -14685 or -14723?
-14723
Is 4192 smaller than 4112?
False
Which is smaller: -443828 or 0.04?
-443828
Which is smaller: 507 or 516?
507
Which is smaller: -99147 or -99143?
-99147
Which is greater: 1 or 47308?
47308
Do -8 and -1007/130 have the same value?
False
Which is smaller: -4564/1077 or -4?
-4564/1077
Are 0.051976 and -1 nonequal?
True
Which is smaller: -4/62317 or -1?
-1
Are 303961/5 and 60792 nonequal?
True
Which is smaller: -638 or -1244?
-1244
Which is smaller: -80 or -5/2?
-80
Is -2572 <= -2574?
False
Are -28369 and -28371 non-equal?
True
Is -391 less than -93786/239?
False
Is 433 equal to 275?
False
Which is bigger: -4249904/5 or -849981?
-4249904/5
Is 592 at most 565?
False
Which is bigger: -13/96470 or 2/3?
2/3
Is -1720 at most 10?
True
Is -7993 < 5?
True
Is 24 greater than or equal to 15261/653?
True
Which is greater: 2828 or 2897?
2897
Is 39968 less than 39965?
False
Which is smaller: -242235 or -484471/2?
-484471/2
Which is smaller: -234898 or -234899?
-234899
Are -19658 and -19637 nonequal?
True
Which is smaller: -9310 or -9309?
-9310
Are 3 and 1431/353 unequal?
True
Which is smaller: 2/4672507 or 0?
0
Is -63861 at most as big as 1/3?
True
Is -24336 < -121674/5?
True
Which is smaller: 7459 or 7419?
7419
Which is bigger: -78 or -41764?
-78
Which is smaller: 211980 or 211979?
211979
Do -9896 and -2/329 have the same value?
False
Which is smaller: 1381177 or 1381176?
1381176
Which is greater: 1 or -37/2609?
1
Which is greater: -4 or -523/169?
-523/169
Is -15 at most -0.8577?
True
Is -57144 <= -57144?
True
Which is bigger: 5/265798 or -1?
5/265798
Which is smaller: -46276 or -46281?
-46281
Which is bigger: -475695 or 1?
1
Which is smaller: -146 or -230?
-230
Which is smaller: -1398 or -1095?
-1398
Is 10538 <= 24/5?
False
Is 0 <= -12/7597?
False
Are 167 and 4526/27 nonequal?
True
Which is bigger: 95925 or 95932?
95932
Is 47 smaller than 1538?
True
Is 0 greater than 13/4151?
False
Is 0 >= 22613?
False
Is 920740 at least as big as 920737?
True
Is -2 > -113/151?
False
Is 1 smaller than -405955.1?
False
Is 118 smaller than 81?
False
Which is greater: 0.215 or -100?
0.215
Do 1438/937 and 1 have the same value?
False
Which is greater: 10 or 47812?
47812
Is 674198 greater than or equal to 674205?
False
Which is greater: 56.0832 or 3?
56.0832
Which is greater: -1501695 or -1501698?
-1501695
Which is greater: 44914 or 44915?
44915
Is 1071 less than -31?
False
Is -9500 >= 3?
False
Which is smaller: 23/14 or -110/9?
-110/9
Is -0.057602 less than or equal to 1/5?
True
Is -1 less than or equal to -2/64373?
True
Which is smaller: 597264 or 4180852/7?
597264
Which is smaller: 1378 or 44?
44
Which is smaller: 1643 or 0.2?
0.2
Which is bigger: -2 or -22215?
-2
Which is bigger: 37174 or 148691/4?
37174
Which is smaller: 4/7 or 4288?
4/7
Which is smaller: 1 or -6/26015?
-6/26015
Which is smaller: -12 or -249585?
-249585
Does -2/15 = 6913?
False
Which is smaller: 1704761/3 or 568253?
568253
Is 2.04902 smaller than 0.13?
False
Which is smaller: -1467 or -53?
-1467
Are -2816561 and -2816561 unequal?
False
Which is bigger: -11/5668 or -1?
-11/5668
Which is smaller: -1154759 or -1154758?
-1154759
Which is smaller: 901356 or 901358?
901356
Do 41 and -0.1981 have different values?
True
Is 168 bigger than 8593/51?
False
Is -25605 less than -25606?
False
Is -65 <= 6409?
True
Which is bigger: -1/124 or 226?
226
Is -2 at most 3982?
True
Which is smaller: -33495 or -33496?
-33496
Does 1 = -2/1878775?
False
Does 1399/65 = 21?
False
Is -517.1 greater than or equal to 3?
False
Which is bigger: -362337 or -1/2?
-1/2
Which is greater: 309 or -1/74?
309
Are -4 and 4/9045 non-equal?
True
Is -13554/47 at most as big as -289?
False
Which is smaller: 370 or 154?
154
Does -9127 = 1?
False
Is 9096 smaller than 72779/8?
True
Is -10952 < -10926?
True
Which is greater: 0 or 2/342491?
2/342491
Which is smaller: 43.055 or -2/5?
-2/5
Do 48136 and 48156 have different values?
True
Which is bigger: 0 or -0.221241?
0
Is -3101/25 >= -1?
False
Which is smaller: -34 or 7179?
-34
Which is bigger: 6 or -8282/5?
6
Do -12270 and -12238 have different values?
True
Which is greater: -480 or -275?
-275
Does -1/68 = -3/2?
False
Are 687 and 13.44 nonequal?
True
Is -11038 equal to -11041?
False
Is 36910/3 smaller than 12304?
True
Do 53472/31 and 1726 have the same value?
False
Which is smaller: -126/25427 or 1?
-126/25427
Is -15/1113563 greater than or equal to 1?
False
Is 246 at least as big as 15984/65?
True
Which is bigger: -0.023893 or 1?
1
Do -4/3099633 and -1 have different values?
True
Which is smaller: -13627/101 or -136?
-136
Are -3609 and -3849 equal?
False
Which is bigger: -19569 or -371836/19?
-19569
Which is smaller: 2 or -36/14065?
-36/14065
Which is smaller: -1/281313 or 0?
-1/281313
Which is smaller: 2220 or 3/2?
3/2
Is -1 greater than or equal to -54/19085?
False
Is -20 < 0.0429?
True
Which is smaller: 18 or 1.644?
1.644
Which is bigger: 1 or 28/711?
1
Do -94 and -251 have different values?
True
Which is bigger: -2 or -738/685?
-738/685
Which is smaller: 0 or -72/2423?
-72/2423
Which is greater: -1 or -3/18707?
-3/18707
Is -276821 less than -276820?
True
Which is smaller: -10236/11 or -931?
-931
Which is greater: -17088 or -17017?
-17017
Is 6324128 at most 6324128?
True
Is -10 at most as big as -6150/629?
True
Which is greater: 74 or 58763?
58763
Is -1 less than or equal to -209.55?
False
Is 82/4603 at least 0?
True
Is -76/9269 greater than 1?
False
Which is smaller: 175/561 or 1?
175/561
Which is bigger: 49726 or 49724?
49726
Which is smaller: -501541 or -501542?
-501542
Is -929 equal to -915?
False
Which is greater: -1801 or 5/2?
5/2
Which is bigger: -1 or -4/26797?
-4/26797
Are 1 and -42190.7 nonequal?
True
Is -97603 not equal to -7?
True
Which is greater: 39101 or 39100?
39101
Are 29/4 and -423 unequal?
True
Is 257 >= 28901/113?
True
Which is smaller: -95562 or -95550?
-95562
Which is bigger: -1 or 2/1212465?
2/1212465
Is -2/3 at least -125.591?
True
Which is smaller: 1011 or 37?
37
Is 16/190713 smaller than 1?
True
Is 38447 != 38432?
True
Which is smaller: 350840 or 350839?
350839
Which is smaller: -3.9 or 95?
-3.9
Which is greater: -451314 or -451317?
-451314
Is -176770 at least as big as -176770?
True
Which is smaller: -106810 or -106811?
-106811
Which is bigger: 4 or 353094?
353094
Is 36/277 greater than or equal to -45.9?
True
Which is greater: 1925947 or 1925946?
1925947
Which is greater: -35561 or -0.07?
-0.07
Which is smaller: 21 or 2598/121?
21
Which is smaller: -1 or 1/15165312?
-1
Is 3242080 greater than 3242080?
False
Is -75331/3 smaller than -25111?
False
Are -2/48871 and 0 non-equal?
True
Is -297566 at most -297572?
False
Which is bigger: 5377884 or 5377885?
5377885
Which is bigger: 0.038 or 112/5?
112/5
Is -55 < -8591/160?
True
Is -472/145 less than 2/9?
True
Are 35981 and 35977 equal?
False
Which is smaller: -10 or -1112/127?
-10
Which is smaller: 0 or 3/124022?
0
Which is bigger: 0.984 or -17?
0.984
Is 14837 bigger | {
"pile_set_name": "DM Mathematics"
} |
= 3*j - 18. Solve 0 = -v*y + 10, 4*o = -y - 4*y - j for o.
-4
Let j(i) = -3*i**2 - 12*i - 23. Let s(g) = g**2 + 6*g + 11. Let x(v) = 2*j(v) + 5*s(v). Let u be x(7). Solve -t + 4 = -0*t, 4*f - 12 = u*t for f.
5
Let o be (4 - (1 - 0)) + 0. Let d be ((-5)/(-4))/(o/12). Suppose -3*t - 10 = m, 3*m + 4*t + 9 = -1. Solve 0 = -d*p + 25, 2*f + m*p + 2*p = 18 for f.
-1
Let b be (-1)/(-3) + (-3)/9. Let v(n) = -n**3 + n**2 + 3*n - 2. Let s be v(2). Suppose -r + 2*r - 5 = s. Solve -m + 4 = b, r*u - 5*m + 29 = -1 for u.
-2
Let r be 6/(-9) - 24/(-9). Suppose 2*m - 2*u = -m + 21, -5*u = -r*m + 14. Let i be (-4)/(-28) + 27/m. Solve i = -5*j - 2*s - 8, 3*j - s + 5 = 0 for j.
-2
Let v = -11 + 18. Solve 0 = 4*g - b - 4*b - 13, 5*g + 3*b = v for g.
2
Let k be 90/3 + -1 + 0. Suppose -2*q + 85 = k. Solve -4*i + 3*h - q = 0, 3*i - 5*h + 40 = -2*i for i.
-4
Suppose -2*j + 3*c = -c + 2, -2*c = -2*j + 4. Solve 3*v + 3 = -2*s, j*v + 0*s + 27 = 4*s for v.
-3
Suppose -75 + 23 = -4*z. Let y = z + -11. Let w = 2 + -1. Solve q = -w, 0 = -4*i + 3*q + y*q + 9 for i.
1
Let m(v) = -v**3 - v**2 + 2*v + 3. Let h be m(-2). Suppose 0 = h*s + 3*r - 10 + 4, -4*s + 4*r + 32 = 0. Solve 5*j = 5*o, -s*j + 16 = 5*o - 24 for j.
4
Let t(h) = 5*h**3 + 3*h**2 + 8. Let a(s) = 14*s**3 + 9*s**2 + 23. Let n(c) = 4*a(c) - 11*t(c). Let u be n(-3). Solve -2*g + 4 = -j, -u*g + 2*g = 2*j - 10 for j.
2
Let k be (-51)/(-2) + (-7)/(70/(-15)). Solve -3*z + 18 = 2*p + 3, -5*p + k = 4*z for z.
3
Let h = 1 + 0. Solve 2*b - 3*b + h = 0, 0 = 2*w + 2*b + 6 for w.
-4
Suppose 0*p = -3*p + 3. Solve 4*x + m - 14 = -4*m, -5*x + p = -2*m for x.
1
Let m be 74/4 - (-2)/(-4). Let l = -70 + 103. Suppose -2*v + l = 3. Solve -3*i = -0*j + 4*j + m, 0 = -3*i - 3*j - v for i.
-2
Suppose -5*w + 23 = 8. Solve -2*k + k = w*r - 12, -5*r = -5*k for k.
3
Suppose 24 = 2*f - 12. Let h = -6 + f. Suppose 2*u + u - h = 0. Solve -c = -w - 4, u*c + c - 5 = 0 for w.
-3
Let x = -1 - 2. Let j(m) = m**2 + 12*m - 2. Let f be j(-12). Let t = f - x. Solve 4 = -r + 2*p, -2*r - t = -p - 2 for r.
2
Let n = 7 - 9. Let m be (n - -7)*(0 - -2). Suppose 4*l - 10 = 5*z, 6*z - z = l - m. Solve 5*w = l, 4*h + 2*w = 7*h - 15 for h.
5
Suppose -2*k = q - 12, -q - 4 = -k - 1. Solve 0*f + 3*f = 3*t - 12, 8 = 4*t - q*f for t.
0
Let m = 0 - -2. Let i(s) = 5*s**m + s**3 - 2*s + 5*s - s**2. Let y be i(-2). Solve 4*a = 3*h - 23, -3*a + 19 = 3*h + y*h for h.
5
Let z be -3*(-4)/(-6) - -3. Suppose -3 = -2*f + z. Solve 2*c - 6 = f*q, 0 = 3*c - 2 - 4 for q.
-1
Let b = -16 + 29. Let q = 5 - b. Let j be ((-1)/(-2))/((-1)/q). Solve -j = -n - 2*w, n + 0*n - 2*w - 4 = 0 for n.
4
Let q be ((-260)/(-78))/(2/3). Solve 2*o + o = -3*x - 9, -x + 21 = -q*o for x.
1
Suppose 2*h + 12 = 5*f, 3*f + 8 = 6*f - h. Let t(b) = -b**3 + 5*b**2 - 5*b + 3. Let x be t(4). Let p = f + x. Solve -p*k - 1 = -z + 4, 5*z - 9 = -k for z.
2
Let q be -8 + 8 + (1 - -3). Solve -4*v + 28 = -4*w, 5*w = -5*v + q*w + 11 for v.
3
Suppose -3*p - 8 = -4*b + 2, -4*b = 2*p - 20. Solve 0*s + b*x = 2*s - 20, -5*s - x - 5 = 0 for s.
0
Let b = 172 + -122. Let w be (30/25)/(3/b). Let x(a) = -2*a**3 - 4*a**2 - 3*a - 2. Let l be x(-2). Solve -3*p = -2*i + w - l, 5*p = -20 for i.
2
Let o be 63/12 - (-3)/(-12). Suppose 4*w - 115 = -0*m + o*m, 0 = 4*w + m - 121. Suppose 3*n - n - 20 = 0. Solve a + a - w = -4*s, 0 = 2*s - 4*a + n for s.
5
Let t = -13 - -8. Let c = 0 - t. Solve c*o - f = -5, 2*f - 6*f = o + 22 for o.
-2
Suppose -5*s = -15, y = 3*y - s - 5. Suppose -3*h - 2*h = 0. Let a be (6 - -6)*(-2)/(-8). Solve x + 3*x - y = 0, 2*f + a*x + 7 = h for f.
-5
Suppose -3*t = -4*t + 2. Let y(g) = 2*g**3 + 7*g**2 - 4*g + 1. Let m be y(-4). Let d be 1/m*(t - 0). Solve -d = 3*u - 5*u - n, -4*n = u + 6 for u.
2
Suppose 5*l - 3*t + 2 = 4, 4*l - 3 = t. Let m(i) = -1 - 1 + 1 + 36*i. Let v be m(l). Solve -v = -5*b + 2*h, 2*b - 5*h - 49 + 14 = 0 for b.
5
Let d(k) = k**2 - 6*k - 8. Let s be d(7). Let g = -1 - s. Suppose g = x - 6 - 1. Solve -3*f + 11 = r - 6*r, -x = -2*f + 3*r for f.
2
Let s(j) = -j**3 - 6*j**2 - 3*j + 7. Let q be s(-5). Let o be 2 - (-3 - q)*-1. Solve 4*w - 4*r + 8 = 0, 0 = -3*w - 0*w - o*r + 14 for w.
2
Suppose -2*q - 80 = -6*q. Let i = q - 16. Solve -a - t + 2 = 0, t = -3*a - 0 - i for a.
-3
Let f be 22 + 0*1/(-2). Solve 2*c - 5*j = 16, 0*c - f = c + 5*j for c.
-2
Let l be -1 - -38*1/2. Suppose 5*r - 12 = l. Suppose 25 = 2*m + 3*g, -3*m - g + 20 = -0*m. Solve 3*u = m*j - 15, r*u + 9 = 3*j + u for j.
3
Suppose -22 = 2*w - 4. Let m be (-6)/w - 31/(-3). Suppose -4*s = -2*s. Solve 9 = 3*c - n, -5*c + 4*c + 5*n - m = s for c.
4
Let c(b) = 3*b - 4. Let o be c(3). Let t = 3 + -1. Suppose t*i - 29 - 33 = 0. Solve 3*s = o*j + i, -5*s + 30 = -4*j - 0*s for j.
-5
Let c be (-5)/1*4/(-10). Let a be 8/(32/84) - 3. Let r be (-1 - -2)*-1*-3. Solve -3*z = -r*b + a, 3*b + 7 = c*z - 4*z for z.
-5
Let m = -164 - -165. Solve 5*a + 3*p = -5, 3 = -2*a - 5*p + m for a.
-1
Let c = 5 + -1. Solve c*k + 4 - 11 = -r, 0 = -4*k + 4 for r.
3
Suppose 80 = -x + 5*x + 4*q, -5*q = x. Solve 0*f - 16 = 2*f + 2*h, 5*f + 2*h + x = 0 for f.
-3
Suppose -d = d. Let i(o) be the second derivative of -o**3/3 - 4*o**2 + o. Let r be i(-6). Solve 0 = -d*u + r*u - 8, -2*u + 1 = -3*j for j.
1
Let z(v) = -v + 2. Let k be z(-1). Solve -2*j + 4*g + 3 = -k, 5*g - 30 = -5*j for j.
5
Suppose -a + 0*a = 5*t + 15, -10 = 2*a + 5*t. Solve 3 = 3*q + a*r, q - r + 10 = r for q.
-4
Suppose 11 = 4*p - 1. Suppose -258 - 75 = -p*c. Suppose 4*g - c = 4*q - 7, g = -4*q + 51. Solve -3*s = -5*z + g, z = -4*s - 3*z + 12 for s.
-2
Suppose t = 3 - 1. Let u be 8/8*(t + -1). Let q = 2 + u. Solve 3*r = q*i, -7*i + 2*i = -25 for r.
5
Suppose 4*s = 8 - 0. Suppose -4*j = -12 - 0. Solve -c - s*p + 3 = 0, 0*p = 2*c - j*p + 22 for c.
-5
Suppose 5*p + j = 290, 106 = 4*p + 4*j - 110. Suppose -4*g + p = 15. Solve z + 5 = 4*m, -5*z - 3*m = g + 14 for z.
-5
Let b be 1/((-7)/4 + 2). Suppose -m - 5*s = 6, 3*m = -m - 2*s - 6. Let g = 4 + m. Solve 4*p + 4*u = -g + 23, -b*p - 5*u = -21 for p.
4
Suppose -3*z + 260 = -7*z. Let u be 37/13 + (-10)/z. Solve -u*d = -3*h + 13 + 14, -2*d = h + 6 for h.
4
Let d be 1*1/((-2)/(-10)). Let a be 22/(-55) - 4/(-10). Solve a = -d*u + 9 + 1, -3*m = -2*u + 10 for m.
-2
Suppose -2*t + 181 = 3*v + 3*t, -5 = -t. Suppose 6*l = 2*l + v. Suppose -2*x = -3*g, x + 4*x = g + l. Solve g*p = 5*w - 21, -13 = -p - 5*w + 14 for p.
2
Let p(g) = -g**2 - 7*g - 5. Let v be p(-5). Suppose -2*w = -v*f + 15, w + 5*f = 22 + 8. Suppose -y = -w*y. Solve -a + y = r + 1, 5 = -r + a for r.
-3
Let c be (1/(-3))/(1/(-6)). Let l = c - -3. Let y = 11 - l. Solve -2*d - 4*z + y = 0, -d + z + 3 = -3*z for d.
3
Let p(i) = -11*i**3 + i**2 + 2 - i + 2*i + 10*i**3. Let h be p(0). Solve 8 = 4*t + 4*c, 0 = -0*t + t - h*c - 8 for t.
4
Let p = 99 - 36. Suppose -4*o + 4*q + 56 = 12, 5*o - 3*q - p = 0. Solve 5*h - o = 0, 4*l + 2*h = h - 1 for l.
-1
Let f = 1 + -2. Let n(a) = 2*a**2 - 2*a - 1. Let u be n(f). Suppose d = k - 3*d - 11, 2*d - 5 = -3*k. Solve -5*z = -3*s + 19, 0 = -u*z + s + k*s - 18 for z.
-2
Suppose -4*q - 3*f = 11 + 58, -q - 5*f - 30 = 0. Let s = -11 - q. Solve 4*o - 4*y - 36 = 0, -2*o + 20 = -s*y - 8 for o.
4
Let y = 6 + -6. Suppose 0*v + 2*v - 12 = y. Let h = v - 3. Solve 0 = 3*w + p - 10, -1 = w - p - h for w.
3
Suppose -13 = n - 4*a + 4, 4*a - 11 = 3*n. Solve 5*t = -5*l - 20, n*l - 13 = 2*t - 0*l for t.
-5
Let s(z) = -3*z + 31. Let q be s(9). Solve -5*b + 5 = 5*l - 0, -20 = -q*l for b.
-4
Suppose 0 = 4*j - 7*j + 18. Suppose 0 = s - j*s. Let i(b) = -b**3 - b**2 + b + 1. Let w be i(-2). Solve s = 4*c + 2*p - w*p + 2, c = -4*p - 9 for c.
-1
Suppose -3*u = -4*g - 0*g, -2*g - 10 = u. Let m = 3 + g. Solve 3*q + 2*q + b + 9 = m, 2*b + 8 = -5*q for q.
-2
Let i be (-8)/(-6) - 8/6. Solve 5*q + 2*g - 4*g - 13 = 0, i = q + g + 3 for q.
1
Suppose 3*o = -0*o + w + 37, 4*w = -5*o + 73. Let k(l) = -l + 8. Let s be k(6). Solve -s*c = -7*x + 2*x - o, 5*x = -2*c + 3 for c.
4
Let p(r) = -2*r - 8. Let c be p(-6). Suppose 3*u = -6 + 30. Solve -u = -c*w, 5*z - 4*w + 30 = w for z.
-4
Let o be (-45)/(-12) - 1/(-4). Solve -5*c - 33 + 7 = 3*r, 0 = o*r - 2*c for r.
-2
Let c(x) = x**2 - 8*x + 9. Let j(p) = -6 - 3 + p**3 + 1 - 2*p + 8*p**2. Let k be j(-8). Let v be c(k). Solve 1 + v = 5*s + 5*t, 0 = -s + 3*t + 14 for s.
5
Let y(a) | {
"pile_set_name": "DM Mathematics"
} |
+ 7 = 0, h = y - a*g + 3*g - 4 for y.
1
Suppose -7*f = -20 - 15. Solve 5*h - 2 = -o + f*o, -11 = h + 3*o for h.
-2
Let c(r) = -r**3 + 7*r**2 - 4*r - 4. Let x be c(6). Let g be ((-4)/3)/(x/(-24)). Solve -4*q = 5*h + 1, -g*q + 0*h - 3*h - 7 = 0 for q.
-4
Suppose 0 = 5*n - 1 - 14. Suppose n*m + m = 1296. Let q be m/30 + (-1)/(-5). Solve 2*f = -a - q, -4*f + 0*a = -2*a + 18 for f.
-5
Suppose -4*x = -j + 2, 4*x - 5*j + 17 = 7. Solve -2*s = -h - 3, x*s - h = -4*s + 7 for s.
2
Let w be 0 + 1 + 4 - 1. Suppose -1 - 7 = -p + 2*z, -3*p = -3*z - 9. Let y be (-1)/p + 10/w. Solve -2*g = 8, y*v + 4*g + 1 + 30 = 0 for v.
-5
Let y = 5 - 10. Let u be (2*y)/(2 - 4). Solve -4*v - 6 = -2*t, 4*v - t + u - 2 = 0 for v.
0
Let l(q) = -5 + 2*q + 0 + 0. Let c be ((-10)/(-4))/((-1)/(-2)). Let t be l(c). Solve -2*r + 3*v - 2*v = 6, 4*r + t*v + 26 = 0 for r.
-4
Let w(x) = -x**2 - 8*x + 1. Let a be w(-3). Solve -v = -5*c - 8 - 0, 3*v = -5*c - a for c.
-2
Let i = 60 + -50. Solve 2*o + 4 = 2*j - 3*o, -o = -4*j - i for j.
-3
Let r = 48 + -33. Let u be 1/5 - (-27)/r. Let n(w) = -w**3 + w. Let h be n(-2). Solve 0*j - h = -4*a + 3*j, j + u = a for a.
0
Let t(g) = g**2 - 11*g - 4. Let y be t(12). Solve -2*p = 4*m + y + 2, -5*p - 10 = 5*m for p.
1
Let m(h) = -2*h + 0 + 2*h**2 + 1 - 3*h**2. Let x be m(-3). Let d be 2/(1*x/(-7)). Solve -d = -5*b - 2*r + 3*r, -4*r = -4*b + 12 for b.
1
Suppose 3*u + 6 = 6*u. Let m(z) = -6*z - 1. Let g be m(-1). Solve 0 = g*y - 5*d + 15, -u*d + 9 = -3*y - 4*d for y.
-3
Let w(b) = 6*b**2 + 2*b + 1. Let m be w(-1). Let c be -3 - 4/((-4)/m). Solve 4*n - 5*j = -3*j, c*j = 8 for n.
2
Let b be (-4)/(-6)*(2 - -1). Let r(t) = -t**2 + 4*t + 3. Let n be r(4). Suppose -b = -c + n. Solve 4*m - 20 = -3*q, c*m - 20 = 4*q + m for q.
0
Let u = 6 + 3. Let l be (-4)/(-18) - 2/u. Solve 5*k + 2*s + 31 = 0, -k - 4*s - 17 = -l*k for k.
-5
Suppose 3*i - 4 = 4*y - i, 4*i - 40 = -5*y. Solve 3*c = -3*v, -4*c - y = -c - v for c.
-1
Let w = 141 + -137. Solve w*f + 4 - 2 = 2*t, -5*f + 3*t = 2 for f.
-1
Let g be 44/12 + (-4)/6. Let d = 3 + -3. Suppose 3*w - 5*w - 5*v = -19, 2*w - 2*v - 40 = d. Solve 0 = g*x - p - 3 - 6, 0 = x - 5*p - w for x.
2
Suppose -2*i + 5*f = -13, 4*i + 3*f - 6 = 7. Solve -n = i*t - 19, 3*t = t + 5*n - 7 for t.
4
Suppose -3*r = -221 - 13. Suppose -3*f + 76 = -4*p, -3*f - p + r = -4*p. Suppose -4 = -2*k - 0. Solve k*m + f + 3 = -5*j, j = -m - 8 for j.
-5
Let f(s) = s**2 + s + 1. Let r be f(-2). Suppose -3*a = -v - 2*v + 6, r*a - 2 = -5*v. Let u be (2/4)/(a/(-6)). Solve 5*y - 2 = -5*q - 22, -u*y - 16 = -q for y.
-5
Suppose -4 = 3*a - 16. Suppose 4*n + m - 2 = 2, -a*n - 3*m = 4. Suppose 3*h + 17 = 44. Solve h = -3*k - 3*l, 4*l + 8 = -5*k - n for k.
2
Suppose 2*c - 8 = 6. Solve a = -u + c, 4*a - u - 2 = 2*a for a.
3
Let k(r) = -r - 3. Let b be k(-5). Solve 0 = -g - b*m + 3*m - 5, g = 5*m - 9 for g.
-4
Suppose 3*o = 4*n + 77, -4*n = 6 + 14. Let h = -8 + o. Let s = h + -8. Solve 0 = d + d - 4*b + 20, -3*b - s = 3*d for d.
-4
Suppose -2 = 2*f, -4*b + f + 19 + 2 = 0. Solve -3*p + 2*i + 2 = -7*p, -5*p - b = 5*i for p.
0
Suppose 5*m = 3*m + 3*f + 2, f = -2*m - 14. Let g(y) = -y - 4. Let p be g(m). Solve -h = -3*x + p - 6, -11 = 5*x + h for x.
-2
Suppose 5*c + 94 = -6. Let z be (4/(-8))/((-1)/c). Let r(k) = -k**3 - 10*k**2 - 2*k - 15. Let o be r(z). Solve 0 = -4*v - o*y - 0*y, 0 = -2*v - 2*y for v.
0
Let h be -4 + -3 + 1 + -2. Let n = h + 14. Suppose -n = -3*t - 0*t. Solve 3*u = -5*v - 2, 5*v + 4*u + t + 4 = 0 for v.
2
Let g(i) = 6*i - 3*i + 0*i - 2 - i. Let a be g(3). Solve -x + 6*x - q + a = 0, -12 = -3*q for x.
0
Let g = -10 - -22. Suppose 2*d + d = g. Let x be ((-8)/(-10))/(22/165). Solve 5*m - x = -d*w - 37, -w - 7 = m for m.
-3
Suppose c - 70 = -2*c + 5*l, -3*l + 45 = 4*c. Let w = 50 + -46. Suppose w*o - c = -o. Solve 2*d + 3*d + 18 = -o*n, -4*d - 12 = 0 for n.
-1
Let n = -35 - -39. Solve 0 = 4*q + z - 1 - 22, -5*q + 37 = n*z for q.
5
Suppose -3*s - 8 = s, -4*s = -4*w + 24. Solve w*d + 4 + 21 = -5*b, 2*d = -5*b - 15 for b.
-1
Let z = -5 - -2. Let d be ((-4)/(-6)*z)/(-2). Solve 3*y - 6 = -3*p, 0 = 5*p + d + 4 for y.
3
Let h(f) = f**3 - 3*f**2 + 3*f. Let j be h(2). Let k(l) = -3*l - 4. Let w be k(2). Let b = w - -12. Solve 4*s - 5*g = 18, -2*g + b + j = 4*s for s.
2
Suppose -8 = -o + 5. Let i = o - 10. Solve i*w - 7*w + 12 = -r, -12 = w - 4*r for w.
4
Let u(l) = -2*l - 5. Let o be u(-8). Let s = o + -7. Solve 0 = 3*d + w - s*w, 0 = -d - 2*w + 15 for d.
5
Let i(f) = f**2 - 22*f + 45. Let h be i(20). Solve 6 = -0*s + 2*s, 2*g = -s + h for g.
1
Let g(m) = -m + 3. Let f be g(1). Solve 0 = -f*y - h + 8, y + 2*y - h = 2 for y.
2
Suppose -5*f + 16 = 2*o - o, -3*o = -3. Solve -2*m + 9 - 3 = 4*u, -f*m + 9 = 0 for u.
0
Suppose -4*r + 13 = -3*m - 7, 0 = -2*m + 5*r - 25. Solve m*n - 11 = -2*n + 3*c, -17 = -4*n + c for n.
4
Let t be (-4)/(0/2 + -1). Let r(i) = 3*i - 5. Let g be r(t). Suppose 2*o = -3*f, 5*o + 0*f = 3*f. Solve -3*m + 5*d = g, 3*d + 15 = -3*m - o for m.
-4
Let d(r) = -9*r + 8*r + 7 - 2 + 5. Let v be d(7). Suppose -12 = -l - v*l. Solve p + 10 = -4*a + 4*p, 4*p - 4 = l*a for a.
-4
Suppose 6*n = 4*n + 4. Solve -n*q = 3*l - 1 - 6, -5*l + 25 = 0 for q.
-4
Suppose -6 = p + j + 2, -5*p + 2*j - 5 = 0. Let x be (p - (4 - 4)) + 5. Solve 14 = 2*z + 2*r - x, -r - 2 = -z for z.
5
Suppose 3*c - 5*r - 29 = 0, 2*r = -5*c + 3 + 4. Suppose -4*q + 1 = -3. Let j = 0 + q. Solve -y = j, y = -b - c - 3 for b.
-5
Let z(d) = -d + 12. Suppose -g = -v - 6 - 8, -g - 5*v = 16. Let r be z(g). Solve r*b - b = -2*y - 12, 3*b + 2*y + 16 = 0 for b.
-4
Let o be 4/(-8)*(-1 - -1). Solve o = 2*n - 5*n + b + 16, 5*b = -5*n for n.
4
Let g be -6 - 3/(-1) - -3. Let l be (0/1)/(g - -1). Solve l = 3*j - 5*q + 1 - 15, -3*j + 3*q = -12 for j.
3
Suppose 5*w - 33 = -3. Suppose w = 3*f + 3*j, 4*j = -5*f + 14 - 3. Solve y = -5*q + 4*y - 12, -f*q = y + 10 for q.
-3
Suppose 15 = -5*h, h - 2 = -j - 0*h. Solve k - j = 3*q, -3*k - 2*q = -2*k + 5 for k.
-1
Let u(y) = -y**2 - 5*y + 2. Let s be u(-5). Let q(x) = x**3 - x**2 - 2*x. Let w be q(s). Solve w = -5*i - 4*k + 6, 0*i = i + 2*k for i.
2
Suppose 3*o + 2*c = -7, 2*c + 14 = -o - c. Suppose h - 2*l - 5 = 0, -l = -5*h - 6*l + 25. Solve 3*m - 13 - o = -5*i, 0 = -5*m + h*i - 30 for m.
-2
Let c = -258 + 260. Let z be (-3 - -1)*4/(-8). Let j be 0/1*(z - 2). Solve -b = 2*s - 0*s + 7, j = 3*s + c*b + 13 for s.
-1
Let u(a) = -2*a**2 - 16*a - 10. Let t be u(-7). Solve 4*s = -3*m + 17, t*s + 4*m - 15 = 1 for s.
5
Suppose 0 = 3*n - 5*c + 8, -5*c = -2*n - 12 - 0. Suppose -g = n*g. Solve 3*w - 5*q - 6 = g, 4*w - 8 = -q + 2*q for w.
2
Suppose -s = -4*v + 18, 5*s = 2*s + 6. Let u(y) = 0 + 7*y**2 - 2 - 2*y - y. Let l be u(-2). Solve 4*n + l = f - v*f, -2*n - 22 = 4*f for n.
-5
Suppose -10 = -4*g + 2. Suppose -3*r - 3*s + 3 = 0, g*s = 5*r + 3 - 24. Solve -5*h + 2 = y, y = r*h - y + 4 for h.
0
Suppose -5*f - 19 = g, -2*g = -0*g + 2*f + 6. Solve g = -z - 4*b, 2*z + 20 = -z + 5*b for z.
-5
Let z(a) = a**2 + 5*a + 4. Let d be (4 - 1)*(-12)/9. Let i be z(d). Solve t + 8 = -4*j - i*t, -j + 19 = -5*t for j.
-1
Let o be 3/((-6)/(-18) - 14/(-12)). Solve 5*y + 3*f - 9 = 0, 1 = o*y - 5*f - 15 for y.
3
Let f(l) = 15*l + 30. Let q be f(-2). Let d = 2 + 0. Let t be d/(-8) + 1/4. Solve 2*z - 3*o - 7 = t, -z + 4*z + 5*o + 37 = q for z.
-4
Let i = 74 + -71. Let u be (-2)/(-3) + 4/3. Solve -u*q = -i*b - 25, 10 = 5*q + 6*b - 3*b for q.
5
Let c be (-76)/(-18) + 14/(-63). Let h(d) = -d + 4. Let j be h(c). Let g(q) = -q + 4. Let y be g(j). Solve 2*b + b - 5*s = 22, 3*b - y*s = 20 for b.
4
Let f(p) = p**2 - 11*p - 22. Let i be f(13). Solve -3*n = 4*a + 2 + 1, n + i*a = -9 for n.
3
Let g = 29 - 24. Solve -2*q + q + 23 = g*n, 3*q - 5 = n for n.
4
Let b = -22 - -37. Suppose 3*v + 2 = -2*h + b, 5*h + 25 = 4*v. Let k(f) = 10*f**2 + f + 1. Let l be k(h). Solve -d - l = -4*d + 5*r, 4*d = -4*r + 24 for d.
5
Let s = 28 + -14. Solve -2*i - 5*j = -0*j + 18, 2*i + 3*j = -s for i.
-4
Let t(r) = r**2 + 8*r + 29. Let x be t(-8). Solve -2*m + m = -2, -2*m = -5*d - x for d.
-5
Suppose -2*v + 60 = -24. Suppose -v = 5*p - 2*p. Let f be 37/7 - (-4)/p. Solve 5*t - 3*h - 8 = 0, 0 = 3*t - h - f - 3 for t.
4
Let v(j) = -j**3 - 8*j**2 - 7*j + 4. Let p be v(-7). Solve 36 = -5*w + 4*s, -2*s + s = p*w + 12 for w.
-4
Let w(n) = 10* | {
"pile_set_name": "DM Mathematics"
} |
e fifth biggest value in 5, 60, 0, 12, 3?
0
Which is the fifth smallest value? (a) 1 (b) 4/3 (c) -2 (d) -1 (e) -4 (f) -17
a
Which is the third biggest value? (a) 2/273 (b) 0.02 (c) -123
c
What is the smallest value in -0.1, -15/2, 1.1, 795, -0.4?
-15/2
Which is the second biggest value? (a) 0.04 (b) 3 (c) -0.4 (d) -1 (e) -2
a
Which is the biggest value? (a) 10 (b) 7 (c) -22 (d) 3
a
What is the second biggest value in 5, -0.5, 2.403, 2?
2.403
Which is the smallest value? (a) 5 (b) -0.6 (c) 0.17 (d) -3 (e) -1 (f) 1
d
Which is the smallest value? (a) -4 (b) 71172 (c) -5
c
What is the biggest value in 4, -39.66, 1?
4
Which is the fourth biggest value? (a) -4 (b) -4/13 (c) -26/11 (d) -3/5
a
What is the second biggest value in 38/5, -1.4, -1/2, 1/8, 0.2, -1?
0.2
What is the fourth smallest value in -14, 5, -3/2, -3897?
5
What is the fifth biggest value in -1/2, -189/4, 0, -1, 0.1?
-189/4
What is the biggest value in 3/4, 4, -0.8445, -1/2, -1/6?
4
Which is the second smallest value? (a) 0.5 (b) -273856 (c) -5
c
Which is the fifth biggest value? (a) 0.11 (b) 2.5 (c) 0 (d) -0.5 (e) 80
d
Which is the fourth smallest value? (a) -586 (b) 1 (c) 67 (d) -0.7
c
What is the second smallest value in 0.046, -0.3, -0.7418, -1/2?
-1/2
What is the fifth smallest value in 3.2, -0.3, -5, 10/23, -17, -0.1?
10/23
Which is the second biggest value? (a) 1/4 (b) 1/2 (c) 489
b
What is the fourth smallest value in -6, -32, -0.1, 14/33?
14/33
What is the fourth smallest value in -1/4, -2/7, -9.0438, 4?
4
Which is the fourth smallest value? (a) -0.1 (b) -5 (c) -1 (d) 209
d
Which is the fifth smallest value? (a) -59 (b) 2 (c) -0.02 (d) 0.5 (e) 5/6 (f) 3
b
Which is the third biggest value? (a) -2 (b) -1/2 (c) -3 (d) 3.1
a
Which is the third smallest value? (a) -7/16 (b) 20 (c) 2/7 (d) 0 (e) 2 (f) -2/5
d
What is the biggest value in 0.5, -5, 2/1471, 4, -2/11, 19?
19
What is the third smallest value in -3, 0.1696, 40?
40
Which is the second biggest value? (a) 2/7 (b) 727 (c) -3
a
What is the smallest value in 2/363, 1, -34?
-34
What is the biggest value in -4, -1/7, 1347?
1347
What is the fifth smallest value in 1/2, 1, 13, -4, 1466?
1466
Which is the third smallest value? (a) -4/21 (b) -1/6 (c) 15 (d) 1.6
d
What is the fourth smallest value in 1932, -1/5, -0.16, 0.5, -2/3?
0.5
What is the third smallest value in 13, 118, 1/3, 4?
13
Which is the second biggest value? (a) 3/4 (b) -2 (c) 0.3 (d) 0.5 (e) -1/7 (f) 2
a
What is the smallest value in -20, 1206, 0.5, -4, 4?
-20
What is the third smallest value in -6, -11.855, 1/3?
1/3
What is the third biggest value in -3, 28, -167/5, -5?
-5
What is the third biggest value in -1/4, -440, 797?
-440
What is the second biggest value in -3/5, 2, -0.5, -324, 0.2?
0.2
Which is the third smallest value? (a) -17 (b) -29425 (c) -2/13 (d) 1/5
c
What is the smallest value in 21, 2/821, 2/39?
2/821
Which is the second smallest value? (a) -91 (b) -4 (c) 33
b
Which is the second biggest value? (a) 2/107 (b) -34.7 (c) 0.01
c
Which is the fourth biggest value? (a) 0.1 (b) 732 (c) -0.4 (d) 0.4
c
Which is the third smallest value? (a) 2/277 (b) 2/9 (c) -20
b
Which is the second smallest value? (a) -2971 (b) 7/4 (c) -0.5
c
What is the biggest value in 10.4, -430, -1/83?
10.4
Which is the fifth smallest value? (a) 217 (b) -2 (c) 2/15 (d) -0.2 (e) 0
a
What is the third smallest value in -425, -888, 1?
1
What is the fifth biggest value in 0.06, 41, -5, 0.1, 21?
-5
Which is the fourth biggest value? (a) 5/3 (b) -0.8 (c) 17 (d) 9 (e) 3/5
e
Which is the second biggest value? (a) -7 (b) -0.05 (c) 19.7
b
What is the biggest value in 3, 2, 0.22007, -4?
3
What is the fifth biggest value in 0.6, 3, -10/21, 2, 1, -11?
-10/21
Which is the third smallest value? (a) -4 (b) -205 (c) 58
c
Which is the fifth smallest value? (a) 4 (b) -23 (c) -5 (d) 0.2 (e) 0.214
a
What is the smallest value in -0.106, -29, -1/2?
-29
Which is the second biggest value? (a) 9/2 (b) -3 (c) -4.02 (d) -1 (e) 0
e
What is the third smallest value in -39283, -1/10, 0.2, 14?
0.2
What is the third biggest value in 0.19, -3/2, 5, -3.02, -5, -8/7?
-8/7
Which is the biggest value? (a) -14 (b) -299 (c) -1/3 (d) -3 (e) 0.3 (f) -0.4
e
What is the second smallest value in -1/2, -13/251, 4, 2?
-13/251
Which is the fourth biggest value? (a) 20 (b) -5/4 (c) 82 (d) -11
d
Which is the third smallest value? (a) -582 (b) -21 (c) 5
c
Which is the smallest value? (a) 0.3 (b) 77 (c) -2.324 (d) -0.5
c
What is the second biggest value in 214, 0.3, 0.5, 147?
147
What is the second biggest value in 1328, -630, 5?
5
Which is the second biggest value? (a) 659/2 (b) -3 (c) -3/4
c
What is the fifth smallest value in -2/9, -153, -0.73, 0, 3/2?
3/2
Which is the fifth biggest value? (a) 3/7 (b) 4 (c) -142/5 (d) -4 (e) -2 (f) -0.5
d
What is the biggest value in 1/3, 2, 412, 2/13, 0, 0.4?
412
What is the second biggest value in -4, -1/13, -5/2, 3708, -0.1?
-1/13
What is the second biggest value in -119.5, 0.4, 1/20?
1/20
Which is the second biggest value? (a) -3/5 (b) 1914835 (c) 1/8
c
Which is the fifth biggest value? (a) -4 (b) 2467 (c) 1 (d) -2 (e) -1/2 (f) 0.2
d
Which is the second smallest value? (a) 53 (b) 278 (c) 5 (d) -1
c
Which is the fifth biggest value? (a) 5 (b) 4 (c) 0 (d) 2 (e) 82
c
Which is the third smallest value? (a) 1/4 (b) 0.5 (c) -1/8 (d) -1/181 (e) -3/7
d
Which is the second biggest value? (a) 0.5 (b) -2.2 (c) 18.3 (d) 6
d
Which is the second biggest value? (a) -32 (b) 4 (c) 68
b
What is the biggest value in -0.125, -2/17, -3, -0.4, 2/7, -0.1?
2/7
Which is the second smallest value? (a) -0.08 (b) -7.3 (c) -55
b
What is the second biggest value in 1/4, 2/9, -3, -2/19, 41/3?
1/4
What is the second smallest value in 237, -5, -22?
-5
Which is the fourth biggest value? (a) 3/2 (b) 6 (c) 2 (d) -171
d
What is the third biggest value in 1253, 1/6, 21?
1/6
Which is the fifth smallest value? (a) 5 (b) -8 (c) 0.4 (d) -0.4 (e) 2
a
What is the biggest value in -4, -3, 2/7, -884, -2?
2/7
What is the second biggest value in 3/4, -69, -1, 0.59?
0.59
Which is the smallest value? (a) 2/35 (b) 4 (c) -0.111
c
What is the second biggest value in -1654, 1/3, 0.1, 3?
1/3
Which is the fourth smallest value? (a) -3 (b) -2.1 (c) 7 (d) -3/2 (e) -0.01 (f) -1/4
f
What is the third smallest value in 0.02, 679, -0.1, -0.9?
0.02
What is the second smallest value in -6, -5, -1, 2/17, 62?
-5
What is the smallest value in 2/27, 3, 0.3, 2/9803?
2/9803
What is the fourth biggest value in 26, -7, -9, 0.1, -0.4, 1?
-0.4
Which is the smallest value? (a) -6581 (b) -20 (c) 0.8
a
Which is the second biggest value? (a) -104.3 (b) -0.8 (c) 3
b
What is the smallest value in -92, -4, -1950?
-1950
What is the fifth smallest value in 1/2, -3/8, -394, 2, -0.3?
2
Which is the third biggest value? (a) 114.374 (b) -3 (c) 0.2
b
What is the smallest value in -0.1, -21164, -2/7?
-21164
What is the biggest value in -42, 91, 0.025?
91
Which is the smallest value? (a) -0.4 (b) -0.08 (c) 4/3 (d) -1/8
a
What is the second smallest value in 5.3, 4, -5491?
4
What is the third biggest value in 22, 0.5, -0.37, -1, -5, -6?
-0.37
Which is the smallest value? (a) 17 (b) -4 (c) -2145
c
What is the third biggest value in 0, -70, -5145/4?
-5145/4
Which is the fourth smallest value? (a) 8 (b) 2 (c) -399 (d) -7/3
a
Which is the third smallest value? (a) 3 (b) -1 (c) 2 (d) 21 (e) -14/9
c
Which is the fifth smallest value? (a) -1.38 (b) 0.3 (c) -0.1 (d) 44 (e) 0.5
d
Which is the second smallest value? (a) -465 (b) -1/3 (c) -30 (d) 1/2 (e) 0.2
c
Which is the third smallest value? (a) 8/287 (b) -1/5 (c) 14
c
Which is the fifth smallest value? (a) 57 (b) -5 (c) 1/7 (d) -0.3 (e) -6/5
a
Which is the fourth smallest value? (a) 1.93 (b) 0.1 (c) 0.3 (d) 5 (e) 24
d
Which is the biggest value? (a) 1 (b) -15 (c) 0.0618 (d) -0.3
a
Which is the biggest value? (a) -2/15 (b) -2/2711 (c) 0.5 (d) 1/8 (e) 0.3 (f) -4/5
c
What is the fourth smallest value in -5/2, 43, 5/7, -1/14, 1, -4?
5/7
Which is the third biggest value? (a) -0.1 (b) -1/ | {
"pile_set_name": "DM Mathematics"
} |
m be 1868/650 - (-78)/(-507). Let u = m + -1403/525. Which is smaller: v or u?
v
Let a be ((-18)/4)/(1/(-2)). Let n be 5*(-2)/(-4)*(4 - 170). Let p = 427 + n. Which is bigger: a or p?
p
Let w = 2/1532129 - -1895243513/45963870. Let l = -458/1605 + 2/107. Let y = w - l. Which is greater: y or 41?
y
Let r be (170/30)/(-17)*0. Is 1/534 > r?
True
Let j be 1*6/93*-1. Let f be (-3 + 1 - -3)*1 - 5. Let n be (1 - (-2 - f)) + 2. Is n > j?
True
Let w(d) = 12*d - 36. Let k be w(4). Suppose s + 2*q = 23, 4*s - 4*q + 8 = 40. Which is smaller: k or s?
k
Let l = -71 - -29. Let b be (-3)/(-10)*7*(-8)/l. Is b < 1/24?
False
Let g(n) = -n**3 + 4*n**2 - 8*n + 5. Let l be g(4). Let u be (-4 - (9/(-3) - l))*6. Is u smaller than -168?
False
Let d be (-44)/(-8)*(-1)/(5/(-80)). Suppose 5*z + d = -2*p, 0 = -3*z + p + p - 40. Which is bigger: -10 or z?
-10
Let f(l) = 52*l**2 - 110*l + 10. Let j be f(2). Which is smaller: j or -116/225?
j
Let u be -4 + (-9 - 0 - (-951 + 17)). Which is smaller: u or 923?
u
Suppose -5*j = -6*j + 15. Let v = 107.3 + -113.3. Is j bigger than v?
True
Suppose 11 - 39 = 7*i. Let a be (-20900)/75*6/i. Is 418 less than or equal to a?
True
Let k = 18840.1 - 18840. Is 1025 less than k?
False
Suppose 3*s = 9*r - 11*r + 4, -3*r + 3 = 3*s. Let k be r*(90/(-120) + (-21)/(-8)). Is k bigger than -3?
True
Let b = 2042 + -2932. Let x be 20/9 - (-6)/(-27). Let h be (x/6)/(b/(-60)). Which is greater: h or 1?
1
Let a = -4627/23 - -203. Which is smaller: 1 or a?
1
Let m = -12245 + 12244.9. Is -1510.1 less than or equal to m?
True
Suppose w - 5 = 0, 4*w = 5*r + 2 + 3. Suppose -4*q - 3*u + 6 = -0*q, -r*q + 4*u - 8 = 0. Let y = q - 0. Which is bigger: y or -4/17?
y
Let u(h) = h**2 + 6. Let a be u(0). Let w(y) = y**3 - 5*y**2 - 8*y + 6. Let p be w(a). Let j be 1*2*(1 - 15/p). Which is greater: 10 or j?
10
Suppose -i = 2*p + 4126, -5*p + 2*i - 5716 - 4617 = 0. Which is bigger: -2062 or p?
-2062
Let z = 288.77 + -290.77. Is z at most as big as 86/9?
True
Let s(w) = -w**2 + 5*w + 6. Let h be s(6). Let p(c) = c**2 + 13*c - 1. Let g be p(h). Is g less than 3/16?
True
Let z(x) be the second derivative of x**5/20 + x**4/2 + x**3 + 5*x**2 + 31*x. Let n be z(-5). Which is bigger: 4 or n?
n
Let a(y) = y**2 - 13*y + 37. Let o be (0 + (-1)/2)*240/(-15). Let j be a(o). Which is bigger: j or -9/5?
-9/5
Suppose 7*b = 29 + 83. Suppose 11*j - b = 9*j. Suppose -3*v = 3*g + j - 5, 0 = v - 2*g - 5. Which is smaller: 2/81 or v?
2/81
Let r = 794/3 - 18256/69. Are 44/3 and r unequal?
True
Suppose -5*d + 415 = -5*m, 5*d + m + 2146 - 2573 = 0. Which is smaller: -8 or d?
-8
Let m be 130/(-210) + (-1)/(-3). Let v = 4819.2 + -4812. Which is smaller: m or v?
m
Let t = 29.28 + -27.519. Let b = 0.239 + t. Is -14 less than b?
True
Suppose -4*n - 14 = -10. Let w = -5/118 - -877/23482. Is w at least as big as n?
True
Let b be ((-1)/(15/190))/((-1)/(-3)). Let o = b + 30. Let r(p) = 3*p**2 + 14*p + 10. Let u be r(o). Is 90 not equal to u?
False
Let t(j) = 911*j**2 - 4*j + 33. Let b be t(2). Which is greater: b or 3671?
3671
Let v be 4068/9040*(-230)/6. Let g = -15 - -14. Which is bigger: v or g?
g
Let u = 29 + -42. Let f = -12 - u. Let r = 243 - 4375/18. Is r at most as big as f?
True
Let q = 124 + -9. Let b = -129 + q. Is b smaller than -0.2?
True
Suppose 19*u = -35*u + 64*u + 90. Does u = -305?
False
Let p be 7*(-10)/(-70) + 7572/(-8052). Is p smaller than -1?
False
Let q(t) = -t**3 - 5*t**2 + 8*t + 19. Let d be q(-3). Let y(n) = -n**3 - 23*n**2 - n - 13. Let b be y(d). Suppose -2*x + 14 = -10. Is b at most x?
True
Let u = 14376 - 14377. Let b be 4/(152/(-150)) + 1. Which is smaller: u or b?
b
Let h = 3148 + -3101. Which is greater: 49 or h?
49
Let r be (-2)/(-6)*-3*-3. Suppose -r*w + 2*p = -p + 33, 0 = 3*w + 4*p + 68. Let y be w/6*(-2)/104. Which is bigger: 1 or y?
1
Let a = 116.3 - 226.2. Let n = 121.9 + a. Let g = -3 - -2.9. Is g equal to n?
False
Suppose 19*h = 20*h - 54. Let x be ((-27)/h)/(1/(-2)). Is x greater than or equal to 1/2?
True
Let o = -2752 - -1642.1. Let w = 1222 + o. Let t = w - 112. Is 3 != t?
True
Let m = 41/19 + -350/171. Let l = -1/92 + 59/1196. Let v = -7/13 + l. Which is smaller: v or m?
v
Suppose 312 = -3*c + 3*g, -5*c = -6*c - 2*g - 101. Let m = -723/7 - c. Let a = -29228 - -29228.03. Which is smaller: a or m?
m
Let y be ((-3)/((-9)/4))/((-4212)/(-49086)). Which is greater: -2 or y?
y
Let n(x) = -23 + 3*x + 21 + 2*x**2 + 0*x. Let t be n(1). Let b be 1*(2 + -14)/t. Is b less than -8/3?
True
Let j be (-9 + 172/20)/2. Let p(o) be the third derivative of o**5/60 + o**4/12 - o**3/6 + o**2. Let b be p(-2). Which is smaller: j or b?
b
Let v = -1/33981 + 39925/201983064. Which is bigger: 1 or v?
1
Let f be (5 - 7)*-6*1. Let a be ((-3)/(-18))/(f/54). Which is smaller: 0 or a?
0
Let n(i) = -i + 18. Let q be n(-10). Suppose -2*p + q = -p + 5*t, 2*p - 26 = -4*t. Suppose -p*c + 3*y - 3 = 3, 0 = -5*c + 4*y - 6. Are c and 4/7 non-equal?
True
Let g = 342 + -337. Let n be g + (5 - (-595)/(-56)). Which is smaller: -1 or n?
-1
Suppose 0 = t - 19 - 74. Let k = 19 + t. Suppose -10*m = -3*m - k. Which is greater: m or -2/7?
m
Let u = -147461/6 + 24496. Which is greater: u or -81?
u
Let o(d) = 2*d**3 + 2*d**2 - d - 1. Let q be o(-1). Suppose 5*w - 10 + 15 = q. Let a = 31 + -95/3. Do a and w have different values?
True
Let w = -189.2 - -203. Let n = 11.8 - w. Is -6/7 greater than or equal to n?
True
Let h(w) = -17*w - 40. Let d be h(-2). Let x be 2958/187 + d/(-33). Let a(c) = 8*c - 1. Let v be a(2). Which is greater: v or x?
x
Suppose 7*q = -29 + 8. Suppose 4*b - 8 = -4*m, 15*b - 13*b = -5*m - 8. Which is smaller: q or b?
q
Let s = -182 + 248.3. Let m = s + -56.3. Which is smaller: 2.1 or m?
2.1
Let r = 34.261 - 5.761. Let l = 14.466 + 0.034. Let s = l - r. Which is smaller: 0.01 or s?
s
Let u = 11631 - 11583. Which is bigger: -39 or u?
u
Let f be -1 + 1 - 1*-591. Let c be (-1170650)/(-2050) - (-160)/8. Let g = c - f. Which is smaller: g or 3?
g
Suppose 0 = 2*r - 5*w + w + 60, -r = 5*w + 9. Let q be 2/(-6)*-3*r. Let f(b) = -6*b + 1. Let i be f(4). Which is bigger: i or q?
i
Suppose -198*y + 203*y - 1150 = 0. Suppose 154*l + y = 149*l. Suppose 3*f - 4 + 124 = -3*q, 2*f + 70 = -4*q. Is l greater than f?
False
Suppose -5*b + 0*b = 2*j + 41, -6*j + 17 = -5*b. Let a be (-2424)/b + 4/(-14). Which is smaller: a or 347?
a
Let g be 2 + (-5)/4 + -1. Suppose -2 = y + 5*l - 21, 4*l - 20 = 4*y. Let u be (y - -2)*(-12)/(-21). Is u at most as big as g?
False
Suppose p = 3*h + 1, 0 = -4*p + 4*h + 11 + 1. Suppose 39*q - p - 35 = 0. Let j be (-5)/(-9)*(-6)/(-8). Is j at most q?
True
Let c be 97/(-388) + (-7590)/(-8) + -3 + 1. Which is smaller: c or 947?
c
Let o = -902 + 1807/2. Which is smaller: -12/13 or o?
-12/13
Let v be ((-135)/1179)/(3/2). Suppose -5*b - 3 = 3*a, -2*a - 12 + 10 = -2*b. Which is greater: v or a?
v
Let q be (1/(-5))/(-3 - (-215)/25). Suppose -6*n + 76 = -2*n. Let a = n - 20. Which is greater: q or a?
q
Let l = 489 - 484. Suppose 2*s + 0*m = 5*m + 45, -l*s - 3*m + 128 = 0. Which is smaller: -6 or s?
-6
Let b(t) = -t**2 + 9*t + 534. Let p be b(51). Which is greater: p or -1609?
p
Let g be (14/(-756))/(-1) + 0. Is 11.9 smaller than g?
False
Let l(f) = 3*f. Let b be l(0). Let m be (b - (15 + 6)) + (2 - 0). Is m at most as big as -16?
True
Suppose 17 = 7*s - 25. Suppose 24 = -v - s. Is v greater than -28?
False
Let t = 229343 + -2070034/9. Let g = 661 + t. Which is bigger: -1 or g?
g
Suppose 3*a = -g + 19111 + 8955, -2*g = -9*a + 84178. Which is smaller: -1/3 or a?
-1/3
Let x = 0.042 - 0.072. Let y = -0.04 - x. Let r = y + 2.01. Is r less than -6?
False
Let v = 15 - 31. Let f be 75/12 + 4/v. Let w be (-2 + f/9)*6/(-12). Which is smaller: -17/2 or w?
-17/2
Let p be (36 + -1)*750/175. Let v = -149 + p. Which is smaller: v or -2/93?
-2/93
Let m = 733 + -1083. Let u be (-8)/28 + 6704/m. Let b = u - -98/5. Which is greater: -1 or b?
b
Let k = 5790 - 5706. Which is smaller: k or 82?
82
Let d = 3.302 - 0.302. Suppose 4*z = 157 - 17. Which is greater: d or z?
z
Let j(n) = 13*n**3 + 29*n**2 - 114*n + 38. Let g be j(6). Is 3204 at most as big as g?
True
Let t be 10 + 2 + -4 + (6 - 3). Let r(f) = f - 3*f + t*f - 43 - 4*f. Let l be r(9). Which is greater: l or 3?
3
Let m = -229.38 + 29.28. Let k = -200 | {
"pile_set_name": "DM Mathematics"
} |
- 123. Determine u(-36).
-15
Let m(f) = -32*f**3 + 2*f**2 + 4*f - 2. What is m(1)?
-28
Let r(a) = -2036*a + 50884. Give r(25).
-16
Let a(t) = -210*t - 1830. What is a(-10)?
270
Let z(k) = -10*k + 666. Determine z(67).
-4
Let s(l) = l**3 - 5*l**2 - 13*l - 4. Determine s(7).
3
Let t(j) = -j**2 - 49*j + 4. Give t(-50).
-46
Let y(f) = -18*f**2 - 7*f + 11. Determine y(2).
-75
Let l(c) = -3*c**3 + 85*c**2 + 618*c + 12. What is l(-6)?
12
Let w(h) = -215*h + 268. Determine w(2).
-162
Let y(c) = -c**2 - 88*c + 370. What is y(-92)?
2
Let a(b) = 2*b**3 - 84*b**2 + 238*b - 54. Give a(39).
102
Let z(i) = -3*i**3 + 42*i**2 - 41*i - 15. Give z(13).
-41
Let h(a) = -1019*a - 22413. Determine h(-22).
5
Let l(q) = -37*q**2 - 1310*q - 543. Calculate l(-35).
-18
Let m(y) = -9*y + 215. Give m(31).
-64
Let c(j) = 3*j**3 + 21*j**2 - 38*j - 155. Calculate c(-5).
185
Let n(z) = -z**2 + 53*z + 424. Give n(60).
4
Let x(j) = -57*j**2 - 11*j + 25. What is x(2)?
-225
Let n(k) = -16*k**2 + k + 6. What is n(3)?
-135
Let g(r) = 11*r**2 - 43*r + 45. What is g(2)?
3
Let f(l) = -2*l**2 + 22*l - 47. What is f(11)?
-47
Let i(n) = 2*n**3 - 55*n**2 + 10*n + 22. Give i(27).
-437
Let c(g) = 52*g + 1619. Determine c(-31).
7
Let o(b) = 40*b + 1917. Give o(-50).
-83
Let m(s) = -s**3 - 3*s**2 + 27*s - 14. Calculate m(0).
-14
Let w(p) = -351*p - 23520. Calculate w(-67).
-3
Let d(c) = -c**2 + 118*c - 3407. Give d(63).
58
Let a(w) = 7*w**2 - 249*w - 3203. Give a(-10).
-13
Let n(h) = -h**3 + 19*h**2 + 73*h + 50. Calculate n(23).
-387
Let a(h) = h**2 + 30*h + 102. What is a(-26)?
-2
Let m(z) = -136*z - 49. What is m(-1)?
87
Let c(y) = -y**3 - 9*y**2 + 308*y + 2248. What is c(-7)?
-6
Let i(z) = 6*z**3 - 207*z**2 + 104*z - 69. Give i(34).
-1
Let p(m) = -4*m + 1. Calculate p(0).
1
Let k(n) = -21*n - 1006. What is k(-47)?
-19
Let l(p) = 4*p**2 - 2392*p - 4789. What is l(-2)?
11
Let x(f) = 208*f - 811. Determine x(4).
21
Let m(o) = -1288*o + 1194. What is m(1)?
-94
Let r(u) = u**2 + 193*u + 9263. Give r(-102).
-19
Let g(v) = -23*v**2 - 52*v + 13. Determine g(-1).
42
Let v(j) = -j + 63. What is v(1)?
62
Let t(n) = -2*n**2 - 101*n + 2669. Calculate t(-70).
-61
Let l(r) = -3*r**3 - 4*r**2 + 6*r - 12. Determine l(-5).
233
Let t(l) = 16*l + 20. Calculate t(7).
132
Let t(w) = -277*w - 9413. Determine t(-34).
5
Let x(h) = 2*h**3 + 132*h**2 - h - 70. Calculate x(-66).
-4
Let a(d) = 700*d + 1847. Determine a(-2).
447
Let v(x) = -x**3 - 7*x**2 + 7*x - 123. What is v(-10)?
107
Let n(q) = q**3 - 6*q**2 - 48*q + 329. Give n(6).
41
Let n(z) = z**2 - 198*z + 2087. Determine n(11).
30
Let v(b) = -32*b**2 - 19*b + 3. What is v(2)?
-163
Let d(u) = 2*u**2 - 74*u + 341. Give d(5).
21
Let s(p) = -p**2 + 42*p + 16. Give s(42).
16
Let w(s) = -s**3 - 31*s**2 - 224*s + 28. What is w(-14)?
-168
Let r(z) = -23*z - 191. What is r(0)?
-191
Let u(r) = -202*r - 804. What is u(-4)?
4
Let n(w) = 2*w**3 + w**2 - 3*w + 32. What is n(-5)?
-178
Let k(y) = y**3 - 9*y**2 - 4*y + 4. What is k(8)?
-92
Let h(u) = 446*u - 4012. What is h(9)?
2
Let w(m) = 4*m**3 - 22*m**2 - 20*m + 14. Determine w(5).
-136
Let r(v) = 3*v**2 + 238*v - 202. Determine r(-78).
-514
Let t(g) = -4*g**3 - 311*g**2 + 88*g + 744. What is t(-78)?
-36
Let h(m) = 103*m**2 + 9*m + 13. Calculate h(0).
13
Let h(n) = -n - 163. Determine h(-15).
-148
Let r(i) = -43*i + 162. Determine r(-2).
248
Let l(x) = x**3 - 162*x**2 + 5535*x + 97. Give l(49).
-1
Let t(y) = 24*y - 36. What is t(-6)?
-180
Let m(c) = 39*c**3 + 92*c**2 - 5*c - 9. Calculate m(-3).
-219
Let n(u) = u**2 + 28*u + 40. What is n(-20)?
-120
Let r(k) = -k**3 - 38*k**2 - 37*k - 86. Calculate r(-37).
-86
Let c(s) = -6*s - 94. Calculate c(-22).
38
Let o(x) = x**3 - 12*x**2 + 36*x - 16. Give o(4).
0
Let h(s) = -s**2 + 20*s + 191. Give h(26).
35
Let m(z) = -z**3 + 36*z**2 + 54*z - 467. Calculate m(37).
162
Let y(n) = -2*n**2 - 137*n - 1792. Give y(-15).
-187
Let j(m) = -m**2 + 49*m + 262. Determine j(-5).
-8
Let q(v) = v**3 - 35*v**2 - 17*v + 601. What is q(35)?
6
Let a(l) = -l**3 - 2*l**2 + 165*l - 12. Calculate a(-14).
30
Let w(b) = -b**3 + 8*b**2 - 156*b + 448. Determine w(3).
25
Let f(b) = 21*b**3 - 318*b**2 + 47*b + 19. Determine f(15).
49
Let z(x) = -x**3 - 13*x**2 + 769*x - 36. Calculate z(-35).
-1
Let i(t) = -529*t - 3717. What is i(-7)?
-14
Let f(q) = -655*q + 4673. What is f(7)?
88
Let i(q) = 44*q - 34. Calculate i(1).
10
Let c(x) = -x**3 - 29*x**2 - 58*x - 71. What is c(-27)?
37
Let t(y) = -22*y**2 + 2006*y - 374. What is t(91)?
-10
Let p(q) = q**3 + 18*q**2 + 101*q + 471. Calculate p(-13).
3
Let k(v) = -v**2 - 119*v + 4980. Determine k(-152).
-36
Let c(d) = 30*d + 256. What is c(-6)?
76
Let l(n) = 39*n - 179. Give l(8).
133
Let u(r) = 10*r - 132. Give u(30).
168
Let y(g) = 272*g + 2658. What is y(-10)?
-62
Let t(o) = -2110*o + 25327. Determine t(12).
7
Let i(w) = -202*w - 879. Give i(-4).
-71
Let i(x) = x**2 + 41*x - 83. Calculate i(-38).
-197
Let x(d) = -d**3 + 128*d**2 + 663*d + 257. Determine x(133).
-9
Let v(f) = 40*f + 2133. What is v(-54)?
-27
Let a(f) = 8*f - 178. Calculate a(26).
30
Let s(a) = 223*a + 869. Give s(-7).
-692
Let w(s) = -252*s + 3021. What is w(12)?
-3
Let p(m) = 35*m**2 + 246*m + 9. Calculate p(-7).
2
Let p(y) = y**3 + 59*y**2 - 251*y + 16. Give p(-63).
-47
Let z(p) = -p**3 + 15*p**2 + 220*p - 138. Calculate z(24).
-42
Let c(l) = -l**3 - 3*l**2 + 65*l + 286. Determine c(-6).
4
Let b(g) = 96*g**2 - 1447*g + 61. What is b(15)?
-44
Let v(z) = z**3 - 5*z**2 - 149*z + 23. Give v(-10).
13
Let k(m) = 130*m + 512. Determine k(-6).
-268
Let z(t) = 592*t + 447. Calculate z(-1).
-145
Let f(q) = -q**2 - 46*q - 338. Give f(-50).
-538
Let z(b) = -155*b + 6963. Give z(45).
-12
Let j(w) = 99*w - 3155. Give j(32).
13
Let l(n) = -3*n**3 - 228*n**2 - 223*n + 122. Determine l(-75).
-28
Let j(a) = 15*a**2 - 7*a - 7. Determine j(-5).
403
Let u(n) = -127*n - 3040. Calculate u(-24).
8
Let p(m) = -21*m**2 - 12*m + 13. What is p(1)?
-20
Let r(a) = 90*a - 42. Calculate r(2).
138
Let f(b) = -b**3 + 102*b**2 - 107*b + 575. What is f(101)?
-31
Let y(n) = -n**3 + n**2 - 26*n + 26. Give y(6).
-310
Let n(f) = -f**2 - 13*f - 68. Determine n(-8).
-28
Let l(o) = o**2 + 49*o + 450. Determine l(-37).
6
Let z(d) = d**3 - 76*d**2 + 1365*d - 101. What is z(47)?
-7
Let y(k) = -6*k**2 - 52*k - 44. Give y(0).
-44
Let j(y) = -39*y - 1048. Give j(-25).
-73
Let m(d) = -155*d**2 + 24*d - 38. Determine m(2).
-610
Let l(c) = 156*c - 465. Determine l(3).
3
Let o(k) = -42*k - 1182. Calculate o(-28).
-6
Let x(i) = -2*i**2 - 3*i + 16. Calculate x(-3).
7
Let z(u) = 138*u + 833. Give z(-6).
5
Let d(f) = f**3 - 16*f**2 + 55*f - 2. Determine d(11).
-2
Let q(d) = -6*d - 901. Determine q(0).
-901
Let p(a) = -a**2 + 1090. What is p(-34)?
-66
Let m(t) = -3618*t - 50653. What is m(-14)?
-1
Let l(y) = 3*y**3 + 89*y**2 + 285*y + 17. Calculate l(-26).
43
Let a(j) = -272*j - 4. What is a(-1)?
268
Let b(y) = -y**3 + 6*y**2 + 125*y + 114. Give b(-8).
10
Let o(d) = -93*d**2 + 188*d - 10. Determine o(2).
-6
Let s(o) = -33*o - 1544. Calculate s(-42).
-158
Let a(f) = 30*f**3 - 8*f**2 + 15*f - 10. Calculate a(2).
228
Let z(j) = -156*j - 1173. What is z(-7)?
-81
Let u(r) = 5*r**2 + 284*r + 567. Calculate u(-2).
19
Let q(b) = 10*b**3 + 69*b**2 + 71*b + 3. What is q(-1)?
-9
Let b(i) = -10*i - 240. Calculate b(-18).
-60
Let v(m) = -m**3 + 10*m**2 + 14*m - 131. Calculate v(10).
9
Let x(r) = 2*r**3 + 100*r**2 - 430*r + 102. Determine x(-54).
-6
Let m(n) = -n**2 + 49*n - 579. Determine m(28).
9
Let z(v) = -v**2 - 264*v + 20222. Calculate z(62).
10
Let s(b) = -85*b + 92. Calculate s(2).
-78
Let z(d) = -9*d**2 + 28*d + 81. Calculate z(-5).
-284
Let w(c) = 9*c**2 + 386*c + 340. Give w(-42).
4
Let s(n) = n**3 + 29*n**2 + 52*n - 46. Calculate s(-27).
8
Let h(y) = 30*y + 231. Calculate h(-6).
51
Let t(h) = -h**3 + 3*h**2 + 13*h - 31. Determine t(4).
5
Let v(i) = 6*i**2 + 4*i - 9. Calculate v(-3).
33
Let x(u) = 18*u + 236. What is x(-13)?
2
Let k(l) = 23*l**2 - 216*l + 201. Give k(1).
8
Let g(y) = 51*y + 101. Give g(-4).
-103
Let s(d) = -99*d + 1108. Give s(11).
19
Let x(g) = -12*g - 308. Give x(-25).
-8
Let t(j) = 101*j + 1162. Calculate t(-12).
-50
Let d(x) = x**3 - 70*x**2 - 707*x - 317. Determine d(79).
-1
Let p(o) = o**2 - 70*o + 708. Calculate p(13).
-33
Let h(v | {
"pile_set_name": "DM Mathematics"
} |
*u, 197*t - 192*t - 25 = 0 for u.
-6
Solve -4*p = -2*a - 3*a + 11, -a - p = -4 for a.
3
Solve 4*t = 5*g - t - 30, 2*g + 6 = -4*t for g.
3
Solve -82*a + 85*a = -2*m + 2, -4*m + 4 = 4*a for m.
1
Solve -j + 16 = -5*j + w, j + 3*w + 17 = 0 for j.
-5
Solve 0 = -2*o + q - 3, 7*o + 12 = 3*o - 4*q for o.
-2
Solve 5*f = b - 13, -3 = 5*b + 5*f + 22 for b.
-2
Solve -2*i - 25 = 3*d - 7*i, i = 5 for d.
0
Solve -t = 3*i - 3*t - 8, -4*i - t = -7 for i.
2
Solve -2*x = 9*f + 31, 57 = 5*x + 67 for f.
-3
Solve 4*j - 4*y = -20, 3*y = -j - 7 + 14 for j.
-2
Solve -3*i + 7*i - 4*n = 24, 0 = -5*i - n + 24 for i.
5
Solve -4*v = 5*s - 5, 4*v + 3*s - 4 = -1 for v.
0
Solve -3*r + 2*u - 5 = 0, 43*r - 4*u = 39*r for r.
-5
Solve 5*a = -3*p - 8, -5*p - 4*a + 11 = 7 for p.
4
Solve 0*x = t - 5*x + 20, 5*t - 4*x = 5 for t.
5
Solve -a - 2 = -7, 0 = -n + 3*a - 15 for n.
0
Solve 5*z - 9*z = -4*l + 36, 0 = -4*l - 5*z for l.
5
Solve u - 17 = -2*k - 10, 2*k = -2*u + 8 for u.
1
Solve 7*z - 4*z + 4*o + 10 = 0, -5*o - 16 = 2*z for z.
2
Solve o + 5*z + 21 - 25 = 0, 0 = o - z - 4 for o.
4
Solve -7*a + w = -6*a - 8, 0 = -4*a + w + 35 for a.
9
Solve -2*x - 6 = 4*z, -27 = 3*z - 0*z - 3*x for z.
-4
Solve -5*k - 10 = -5*n, k + 0*k + 5*n = 10 for k.
0
Solve 8*l - r - 21 = 13*l, -4*r - 4 = 0 for l.
-4
Solve 29*i - 5*v = 33*i + 25, 0 = -i - v - 6 for i.
-5
Solve 2*a + 5 = -3*c - 8, -20 = 5*c + 5*a for c.
-5
Solve 3*z + i = 3 - 4, -z = -4*i - 4 for z.
0
Solve 5*y - 2 = 2*y - 5*t, -2*y = -t - 10 for y.
4
Solve -3*i + 15 - 1 = -c, -21 = 3*i + 6*c for i.
3
Solve q = -4*k + 9, -3*q - 5*k + 0*k = -13 for q.
1
Solve -55*u + 16 = -51*u - 2*l, -5*l = -5*u + 30 for u.
2
Solve -w = -5*z + 8, 5 + 3 = -z + 5*w for z.
2
Solve z - 5*z = 5*i + 36, 5*i = -20 for z.
-4
Solve -3*p = -d - 9, 9*d - 15 = -5*p + 4*d for p.
3
Solve -3*b = -3*u - 46 + 67, -4*u - 12 = 4*b for u.
2
Solve -4*f = m, 2*f + 2 = m - 2*m for m.
-4
Solve -1371*a + 1373*a + 2 = -4*s, 24 = -4*a + 2*s for a.
-5
Solve 0 = 3*h + 4*t - 14, -3*h - 4*t + 22 = -4*h for h.
-2
Solve 3*b = -4*v - 2 + 1, 5*b - 25 = 0 for v.
-4
Solve -d + 6*c = 11*c - 11, -4*c = -8 for d.
1
Solve -5*x + 34*j - 35*j = -21, 2*x - 7 = j for x.
4
Solve 2*w = -2*j + 14, 5*j - 12 = -w + 11 for j.
4
Solve 0 = 2*b, -h + 4*b = 3*h + 16 for h.
-4
Solve -3*z - 4*t = 0, 0*t - 17 = 2*z - 3*t for z.
-4
Solve o + 8*t - 1 = 12*t, -3*t = 3*o - 3 for o.
1
Solve i = -21*x + 20*x - 11, -2*x - 31 = 5*i for i.
-3
Solve -j + 2*y + 5 - 3 = 0, -19 = -4*j - 3*y for j.
4
Solve -4*l + 6 = 2*v, -3*l + 37 = 53*v - 58*v for v.
-5
Solve i = 7*s - 4*s + 8, -2*i + 4 = -3*s for i.
-4
Solve 3*f + 11 = z - 2, -4*z = 3*f - 7 for z.
4
Solve 0 = 2*j - 12, 3*t + 5*j + 7 = 43 for t.
2
Solve -2*i + 0*i - 14 = -3*y, 0 = -4*y - 5*i + 11 for y.
4
Solve 3 = 3*q, 4*q = -5*x + 21 + 3 for x.
4
Solve -5*z = x - 20, -12 = 3*x + 2*x - 3*z for x.
0
Solve -2 = z - 4*b, -5*b = -20*z + 16*z - 8 for z.
-2
Solve -6*y - 18 = -y + 3*d, 3*d = 5*y + 12 for y.
-3
Solve 10*j - 9*j + 1 = l, -13 = -5*j - 4*l for j.
1
Solve -4*l - 19 = 5*n, -15*n = -2*l - 17*n - 8 for l.
-1
Solve 3*k - 6 = 3*n, -4*k + 25 = k for n.
3
Solve 3*b = -2*f - 29 + 30, -f - 7 = -b for b.
3
Solve 3*c - o + 0 = 1, -o - 6 = 2*c for c.
-1
Solve -2*n = -l - 6, l = -4*n + 11 - 5 for l.
-2
Solve -3*k + 5*k = 3*x + 9, 4*x + k + 23 = 0 for x.
-5
Solve -5*w - c = -0*w + 22, 0 = 5*w - 3*c + 14 for w.
-4
Solve 2*h = -l - 3*h + 15, 5*l + 2*h - 6 = 0 for l.
0
Solve 0 = 5*p + 3*k + 17, -3*k = 2*p - 0*k + 14 for p.
-1
Solve -11 = -3*g - 2*a, -3*g = -4*a + 23 - 28 for g.
3
Solve r - 11 = -3*t + 2*r, -t + 2*r = -7 for t.
3
Solve 0 = 4*r + o - 45, -16 + 11 = 2*r - 5*o for r.
10
Solve -3*s + 2 = -7, -3*x + s = 3 for x.
0
Solve -4*b - 28 = -3*s, 4*b + 10 = -s - 2 for s.
4
Solve -5*t - 11 = 2*z, 8 = -4*z + 4*t - 0*t for z.
-3
Solve 0*j - 2*j - 4*q + 16 = 0, 2*j + 9 = q for j.
-2
Solve z - 8 = -4*x, 6*x - 2*z - 2 = 5*x for x.
2
Solve -3*x + 4*x + f = 0, 0 = -4*x + f for x.
0
Solve -c = -b + 5 - 12, 2*b = 5*c - 23 for c.
3
Solve 2*i + 2*m = 0, -12*i + 14*i = -3*m + 4 for i.
-4
Solve x = -4*z + 3*x + 12, -3*x = 12 for z.
1
Solve 80*j + 15 = 5*l + 76*j, 4*j = -2*l - 22 for l.
-1
Solve v + 18*o = 13*o - 18, -v = -4*o - 9 for v.
-3
Solve -j + 5 = -15*s + 12*s, -5*j + 25 = 4*s for s.
0
Solve 0 = -8*c, 16*x - c + 15 = 11*x for x.
-3
Solve -4*o + 2 = 2*k, 3*k = 2*o - 7*o for k.
-5
Solve -3*p + 15 = 0, 0 = 5*t - 3*p + 204 - 174 for t.
-3
Solve -3*z + 14 = 2*a - a, 4*a - 6 = -2*z for a.
-1
Solve 3*a - 6*j = -2*j - 11, 2*j - 18 = 4*a for a.
-5
Solve 12*b - 17*b - v = -5, b - 5*v + 25 = 0 for b.
0
Solve -r - 3*u - 30 + 42 = 0, r - 5*u + 28 = 0 for r.
-3
Solve -20*x + 21*x - 6 = -n, 2*n = 2*x - 4 for n.
2
Solve 0*n = 2*v - 3*n + 8, 0 = 5*v - n + 20 for v.
-4
Solve w + 4 = 0, 4*s - 3 - 9 = 5*w for s.
-2
Solve 4*f - 4*i + 8 = -5*i, -2*i = -5*f - 23 for f.
-3
Solve -2*k = -5*j + 49 - 24, 3*j - 2*k - 19 = 0 for j.
3
Solve -4*w + 2*w + 3*x = -4, -w + 2 = -x for w.
2
Solve 4*g + 8 = -3*f, -3*g + 11 = -5*f - 12 for f.
-4
Solve -4*a + 27 = 95*h - 98*h, 0 = -2*h - 2*a - 4 for h.
-5
Solve 3*h + 5*s - 21 = 0, s + 4*s = -h + 17 for h.
2
Solve 20 = -5*f + 4*g, -4*f + 4*g - 12 - 4 = 0 for f.
-4
Solve -3*s - 2*s = 5*m - 5, -5*s + 45 = -5*m for m.
-4
Solve -4*l = 4*o + 1 - 5, -o - 3*l = -11 for o.
-4
Solve -6*a + 5*a = -2*g + 1, -5*a + 25 = 5*g for a.
3
Solve v - 5*w - 14 = 0, 2*w = 4*v - 4 - 16 for v.
4
Solve -3*v + 20 = 5*j, 39*j + v = 36*j + 12 for j.
4
Solve 4*c - 32 = -4*f, -3*c - 8*f = -9*f - 4 for c.
3
Solve 5*v + 2*x - 14 = 0, 3*v - 2*v + 4*x = 10 for v.
2
Solve i + 5 = 2*y, -2*i = -7*i + 15 for y.
4
Solve -3*h = -2*j + 2, j = -9*h + 8*h - 4 for j.
-2
Solve 2*h = 2*p + 6, 4*p - 4 = 6*p for h.
1
Solve 3*w + 12 + 10 = 4*y, 4*y - 16 = 0 for w.
-2
Solve -2*r - 2 = -p - 8, -3*p + 5*r - 15 = 0 for p.
0
Solve -2*p + 18 = 4*u, 14 - 8 = u + 2*p for u.
4
Solve 4*r - 8 = 0, 0 = -4*j - 18*r + 14*r - 4 for j.
-3
Solve -y = 4*k - 6, -32*y + 33*y + 5*k = 7 for y.
2
Solve 5 = -s - 2*l + 2, 5*l = 3*s - 13 for s.
1
Solve -202*y + 2*w = -204*y + 2, 2*y + 4 = -5*w for y.
3
Solve -3*i = 2*l - 14 + 4, -5*l = -i + 9 for l.
-1
Solve 5*g - 6 = -p, -10 = p - 5*g + 4 for p.
-4
Solve 0 = -x - 4*y - 21 + 5, -2*y - 10 = 0 for x.
4
Solve 24*o - 21*o + 6 = 0, 5*o = -5*t + 15 for t.
5
Solve -4*r + 3*m = -17, -3*m + 5*m = -5*r + 27 for r.
5
Solve -h = -4*f + 8, 0 = 3*h - 6*h + 4*f for h.
4
Solve -4*z = 4*b - 20, 0 = 28*z - 31*z - 5*b + 25 for z.
0
Solve 5*h + 16 = -k - 4, -26 = 2*h + 4*k for h.
-3
Solve 11 = -n - k - 2*k, -4*n - 3*k - 26 = 0 for n.
-5
Solve -2*r = b, 0 = 4*r + 2*b - b + 2 for r.
-1
Solve 10 = -2*p + x, 2*x + 22 = -3*p + 7*x for p.
-4
Solve 5*z + 2 = 7*j - 6*j, 4*z + 4*j = 8 for z.
0
Solve 5*f + 20 = 5*y, 3*f - 2*y = -44 + 36 for f.
0
Solve -2*d + 6*d - 2*p = -10, -1 = -2*d - p for d.
-1
Solve 0 = -4*u + 2*n + 117 - 107, -20 = 2*u + 4*n for u.
0
Solve -15 = 3*m, 7*m - 6 = 4*y + 5*m for y.
-4
Solve -2*z = -5*v - 4, -3*v + 2*v + 4 = 2*z for v.
0
Solve -2*d = -2*v + 6, -8 = 3*d - d - 4*v for d.
-2
Solve l - 3*u = 0, 3*l = -4*u - 22 + 9 for l.
-3
Solve -2*o + 2*n = -12, -4*o + 7 - 28 = 5*n for o.
1
Solve 0 = -3*t - 3*h + 21, 15*h - 17*h + 5 = -t for t.
3
Solve 3*j + 4*g = 2 + 11, 2*j + g - 7 = 0 for j.
3
Solve -5*i - 21 = -3*o + 2*o, o = -i - 9 for o.
-4
Solve 4*x + 4*w - 28 = 0, x = -12*w + 17*w - 11 for x.
4
Solve 0 = -4*z, 10*z + 4 = 2*b + 15*z for b.
2
Solve 0 = -3*g - 4*m + 15, -3*g + 5*g = -4*m + 10 for g.
5
Solve 5*q + 5 = -3*h, -16*h + 19*h = 2*q + 2 for q.
-1
Solve 4*y - y + 3 = 2*g, y = 5*g - 1 for y.
-1
Solve -11*d - n = -14*d + 12, 0 = -5*d + n + 22 for d.
5
Solve 0 = 2*t - 2, -2*d + 4*t = 2*d + 8 for d.
-1
Solve -4*t + 11 = -3*z, 4*t - 2*z - 27 = -21 for t.
-1
Solve -v + 4*h = 23, -3*v - 138 = 5*h - 154 for v.
-3
Solve -4*s + 5*d = -9*s, -5*d + 30 = -5*s for s.
-3
Solve -2*b = -4*v - 4*b + 4, -4*b = -2*v - 18 for v.
-1
Solve -l = -s - 2, -3*l + 7*s - 3*s = -5 for l.
3
Solve -4*f + 6*f = -5*a - 5, 5*f = 25 for a.
-3
Solve 4*q + 3*s - 6 = 0, -24*q = -19*q + 4*s - 8 for q.
0
Solve -15*y + 14*y = -3*l - 10, 2*l - 2*y + 12 = 0 for l.
-2
Solve -2*u - 14 = -13*j + 9*j, 19 = -u + 5*j for u.
1
Solve 17 = 3*g + 5*b, -4*g + 19 = -3*b + 6 for g.
4
Solve 2*s - 5*l + 14 = 0, -l - 2*l = 2*s - 18 for s.
3
Solve 0 = 5*x - 4*b + 3 - | {
"pile_set_name": "DM Mathematics"
} |
Rearrange -5*n**4 - 2 - 14*n**4 + n**3 + 2 - 2*n**2 to x + s*n**4 + g*n**3 + y*n**2 + t*n and give g.
1
Express (2*r + 3 - 3)*(-1 + 1 + 4)*(0 - 2 + 0) as f*r + s and give f.
-16
Rearrange -220 - 35*b**2 + b**3 - 19*b**2 + 220 to i*b + t + q*b**3 + o*b**2 and give o.
-54
Express (3*u + 0*u - u)*(5 + 8170*u - 2*u**3 - 8170*u) as p*u**4 + k*u**3 + x + y*u + z*u**2 and give p.
-4
Express -n**3 + 2*n + 13 - 3*n**4 - 8 + n**3 in the form p*n**2 + a*n**3 + y + w*n**4 + s*n and give y.
5
Rearrange -x**2 - 4*x**3 + x + 3*x**2 + 33*x**3 + 0*x**3 to c*x + h*x**2 + q*x**3 + v and give v.
0
Rearrange 50*g - 9*g**2 - 50*g to i*g + v + s*g**2 and give s.
-9
Express -11*c**2 + 1 - 2*c**2 + 0 + (-2*c**2 + 2 - 2)*(-1 + 2 - 2) + 0*c + 2*c**2 + 0*c as r + a*c + p*c**2 and give r.
1
Rearrange (-3 + 3 + f**2)*(-4*f + 6*f + 1 - 3) to d*f + x + a*f**3 + s*f**2 and give a.
2
Rearrange 7*g**3 - 2*g**4 - 14*g**3 - 1 + 6*g**3 to u*g**4 + z*g**3 + c + y*g**2 + l*g and give c.
-1
Rearrange -2*r + 2*r + 3*r**2 - 221 + 224 to i*r**2 + w + n*r and give i.
3
Express (-y + 1 - 1)*(-53 + 6 + 2) as x + i*y and give i.
45
Rearrange 4*o**2 + 0*o + 0*o - 2*o + 0*o**2 to x*o + c*o**2 + i and give c.
4
Express 10*s - 30*s + 89*s as n*s + l and give l.
0
Rearrange (-5*i**4 + 3*i**4 - 7*i**4)*(-3 + 1 + 1 + (4 - 3 - 3)*(-6 - 5 + 5)) to g + j*i + l*i**3 + a*i**4 + y*i**2 and give a.
-99
Express 103*y - y**3 + 2 - 3*y**4 - 103*y in the form p*y**3 + f + l*y + b*y**2 + g*y**4 and give g.
-3
Rearrange -12*z - 4*z + z + 0*z to y*z + r and give y.
-15
Rearrange -5*k + 66 - 30 - 33 to the form q + m*k and give m.
-5
Rearrange (18*f + 8 - 8)*(-f + f + 2*f**2) to the form m*f + l*f**3 + h + q*f**2 and give l.
36
Express 14*v**2 + 12*v**2 - 3*v**2 as c*v + z + m*v**2 and give m.
23
Rearrange 2 + 3 + 2*f**2 - 4 to the form o + d*f + x*f**2 and give x.
2
Rearrange (4 + 5 - 4)*(-3 + 11 + 17)*(0 + 0 - f**3) to h*f + i + r*f**3 + w*f**2 and give h.
0
Rearrange 13*w - 1 - 15*w + 2*w + 5*w**2 to the form s*w**2 + x*w + m and give s.
5
Express (3*x + 3*x - 4*x)*(x + 2*x - 13*x) as g + c*x + v*x**2 and give v.
-20
Express (-p**2 - 8*p + 8*p)*(-2 - 4 + 1) in the form t*p + y*p**2 + k and give y.
5
Rearrange 15 - 4 - 11 + 54*g to the form x + f*g and give f.
54
Express -i**3 - 4*i**3 + 4*i**3 + (3 - 3 - 2*i)*(-8*i + 8*i - 19*i**2) as n*i**3 + s*i + p + o*i**2 and give n.
37
Express -10*o + 2*o - 2*o as j*o + x and give j.
-10
Rearrange 29 - 6*l**3 + 30 - 58 to the form z + u*l**3 + t*l + k*l**2 and give u.
-6
Express (-3 + 3 - v)*((v - 2*v - v)*(-1 + 2 - 4) + 5*v - 4*v - 2*v + v - 5*v + v) as k*v + n*v**2 + p and give n.
-2
Express (6*f - 3 + 3)*(-9 + 40 - 7 + 51) as k + c*f and give c.
450
Rearrange (-591 - 149*v + 591)*(0*v**3 - 2*v**3 + 4*v**3) to f*v**3 + y*v**4 + p + d*v + w*v**2 and give y.
-298
Express 5*c**3 + 1 - 2 - 2*c**3 - c**4 in the form r*c**3 + s*c + u*c**2 + a*c**4 + h and give h.
-1
Rearrange -2*i**4 + i**4 + 2*i**4 + (-4*i**3 - 2*i**3 + 3*i**3)*(-3*i + 3 - 3) to h*i**4 + n*i**3 + k*i**2 + g*i + o and give h.
10
Express (0*i**2 - i**2 + 0*i**2)*(-1 + 0 - 1) + 2*i**2 - 3*i**2 + 12*i**2 in the form s*i**2 + j + w*i and give s.
13
Express (2*l + 2*l - 3*l)*(-1 + 3 + 0)*(1 + 11 + 1) in the form p + s*l and give s.
26
Express c**3 + 23*c**4 - 22*c**4 - c + 2*c as n*c**4 + k*c + l*c**2 + x*c**3 + i and give k.
1
Rearrange (2 + 0 + 1)*(5*n + 0*n + 0*n) + (n + 0*n - 3*n)*(0 + 2 - 3) + 3 - 3 + 2*n to the form f*n + h and give h.
0
Rearrange (-2*c - 2*c + 5*c)*((-2 + 4 - 3)*(-5 + 2 + 2) - 6 + 11 - 3) to a + j*c and give j.
3
Rearrange (-l + 5*l - 2*l)*(1 - 5 - 4 + (-4 + 5 - 3)*(-4 - 1 + 4)) to the form f*l + g and give f.
-12
Rearrange 74*s + 4*s**4 - 5*s**4 - s**3 - 4*s**3 - 3*s**2 - 1 - 77*s to the form w*s + f*s**4 + c + i*s**3 + v*s**2 and give w.
-3
Rearrange 4*l**2 - 240*l**3 - l + l**2 - 2*l**2 + 237*l**3 to y + o*l**3 + f*l**2 + p*l and give f.
3
Express p + 4 - 42*p**2 - 7*p**4 + 2*p**3 + 42*p**2 as q*p + i + r*p**3 + j*p**2 + k*p**4 and give q.
1
Express (-d + 11 - 11 + (143 + 6*d - 143)*(-4 + 1 + 2))*(1 + 1 + 1) in the form b + m*d and give m.
-21
Express (2 - 5 + 5)*(3 + 8 - 8)*(0 + 4 - 2)*(2 - 4*i + i + i) in the form s*i + d and give d.
24
Express -m**3 - m**2 + m**2 - 2*m**3 - 4*m**3 + 4*m**3 + (0*m + 0*m + 2*m**3)*(21 - 55 - 19) as j*m + x + g*m**3 + h*m**2 and give x.
0
Rearrange 21*l + 697 - 697 to the form y + h*l and give h.
21
Express (27*f**2 + 33*f**2 + 2*f - 62*f**2 - 3)*(-2*f**2 - 2 + 2) in the form y*f**2 + h*f**3 + b*f**4 + n*f + r and give h.
-4
Express -3*c - 9*c + c - 23*c as o + i*c and give i.
-34
Rearrange (14 - 14 - 14)*(f - 2*f - 3*f)*(-2 - 1 + 1) to l*f + m and give l.
-112
Express 13*n**2 - 14*n**2 - 5*n - 5*n + n - 2*n**3 as d*n**2 + w*n**3 + s + k*n and give d.
-1
Express (-2*o**2 - 5*o**2 + 2*o**2)*((2*o + 2*o - 9*o)*(-2 - o + 2) + 3*o**2 + 3*o**2 - 4*o**2) as h*o**4 + x*o + f + b*o**2 + r*o**3 and give h.
-35
Express -2*q + 1 + 4*q + q + 7*q as b*q + z and give z.
1
Rearrange (2*y**2 + y - y)*(y**2 - y**2 + y**2) + (66*y - 24*y + 28*y)*(2*y**3 - y**3 - 2*y**3) to the form p*y + l*y**4 + o + g*y**3 + x*y**2 and give l.
-68
Rearrange -55*c - 80*c - 87*c to t*c + o and give t.
-222
Express -6*z + z**2 + z**2 + 0*z**4 + z**3 + z**4 + z**3 as o*z**4 + w*z**2 + x*z + t*z**3 + n and give x.
-6
Rearrange (-3*s + 4*s - 3*s)*(3 + 1 - 2) - s + 0*s - s + 95*s + 74*s - 252*s to the form w*s + d and give w.
-89
Express 7 + 3*t + 9 - 15 + 2 - 2 + 2*t + (-4 + 3 + 3)*(4 - 2*t - 4) in the form h + r*t and give h.
1
Rearrange (10 + 21 + 18)*(m - 1 + 1) - 2 + 2 - m to the form a + o*m and give a.
0
Rearrange (-2 - 3 + 3)*(-9*k**2 + 2*k**2 - 7*k**2) + 2*k**2 + 0 + 0 + (0 + 1 + 1)*(-2*k**2 + 4*k**2 - k**2) to the form x + b*k**2 + m*k and give m.
0
Rearrange 2*o**2 - 3*o**2 - o**2 + (2*o - 6*o + 2*o)*(0*o + 3*o - 2*o) + 9*o**2 + 32*o - 32*o to the form m + t*o**2 + d*o and give t.
5
Express -2*k - 1 + 6*k - 2 - 2 + k + 2 - k - 3*k + 3*k + (5*k - 2*k - 2*k)*(0 + 1 - 2) - k - k + 0*k as c + r*k and give c.
-3
Rearrange (0*h - h + 2*h)*(-3*h + h + 6*h) to y + m*h**2 + i*h and give m.
4
Express -m + 12*m**3 - 2 - 16*m**3 + m in the form r + t*m**3 + z*m**2 + g*m and give r.
-2
Express d + 2*d**2 + 3*d**3 - 7*d**3 - d**3 - 2 as z*d**3 + r*d + m + a*d**2 and give a.
2
Express (-v + 0*v + 2*v)*(-3*v**2 + v**2 + 4*v**2) - v**3 + 5 - 5 - 14 - 5*v**3 - 6*v**3 + 15 - 2*v in the form t + j*v**3 + w*v**2 + l*v and give j.
-10
Express 1 - 2 + 1 + 14*o as k*o + t and give k.
14
Rearrange -3 - 3*v - 4*v**3 + 0 + v**3 + 5*v**3 to the form s*v**2 + x*v + k*v**3 + w and give x.
-3
Rearrange 8 - 17 - 48*z**2 + 9 to s*z**2 + f*z + w and give f.
0
Rearrange y**4 - 3*y**4 - 6*y**2 + 5*y**2 + (y**3 + y**2 - y**2)*(0*y + 0*y - 3*y) to p*y**4 + o*y**3 + c + w*y**2 + h*y and give p.
-5
Rearrange -2*z**3 - 2*z**3 + 2*z**3 + 3*z - 9*z**2 to the form f*z**3 + x + s*z**2 + y*z and give s.
-9
Express 2 + 122*f - 3*f**4 + 127*f + f**3 - 250*f in the form q + m*f**2 + v*f + n*f**4 + p*f**3 and give p.
1
Rearrange (-2*h + 3*h + h)*(h**2 - 2*h**2 + 0*h**2) + 953*h**2 - 99*h**3 - 953*h**2 to y*h + u*h**2 + n*h**3 + k and give n.
-101
Express (-2 + n + 2 - 1)*(3 - 1 - 4)*(2*n + 5*n - 5*n) in the form g*n + q + k*n**2 and give k.
-4
Rearrange 0 - 3*d**4 + 6*d**2 - 2*d**2 - 2 + 2*d**4 to p*d**4 + t*d + x*d**2 + q*d**3 + y and give q.
0
Rearrange -41 + 41 - 41*x to the form c + l*x and give l.
-41
Rearrange -21*r + 25*r - 127*r to c*r + s and give s.
0
Express 0*u + 3*u - 5*u + (32 - 17 - 14)*(u - 3*u + 0*u) - 4*u + 13*u - 3*u in the form q*u + j and give j.
0
Express 14*c - 5 + 0 + c + 2 in the form l + a*c and give l.
-3
Rearrange -98*h - 19*h - 16*h to o + y*h and give y.
-133
Express (-1 + 2 + 1)*(1 - 2 - 2)*(-7*l - 8*l + 3*l) in the form w + o*l and give o.
72
Rearrange (0*c - 3*c + c)*(-1 - 4 + 1)*(-9*c + 2*c - 9*c) to o*c + l*c**2 + y and give l.
-128
Rearrange 0 + 3*y - 33*y + 0 to the form x + f*y and give x.
0
Rearrange (-2 + 3*c**2 + 2)*(-5 + 0 - 4 - 2 - 1 + 2 + 1 + 0 + 1 + (1 + 0 - 3)*(1 + 0 + 0)) to the form k + n*c**2 + g*c and give n.
-30
Express 4*m + 3 - 5*m - 34*m**3 + 36*m**3 + 2*m**4 + 2*m**2 + 2*m in the form w*m**4 + z*m**2 + r + u*m**3 + d*m and give u.
2
Express (-16 + 5 + 8)*(5*t - 7*t - 7*t) | {
"pile_set_name": "DM Mathematics"
} |
tive of b**7/7 + 11*b**4/12 + 10*b. What is the third derivative of l(s) wrt s?
360*s**2
Let a = 0 + 2. Let c be (5 - 5)/((-2)/(-2)). Find the third derivative of 0*t**2 - 2*t**6 - 3*t**2 + a*t**2 + c*t**6 wrt t.
-240*t**3
Let i(j) be the second derivative of -j + 9/2*j**2 + 0*j**3 + 1/2*j**4 + 0. What is the first derivative of i(x) wrt x?
12*x
Let y(u) be the third derivative of 8*u**6/15 + 9*u**3/2 - 61*u**2. Find the first derivative of y(x) wrt x.
192*x**2
Let q(s) be the second derivative of 7*s**6/30 - s**3/2 - 9*s. Find the second derivative of q(d) wrt d.
84*d**2
Let v(n) = n**2. Let a(t) = -3*t**2 - 7. Let x(k) = -a(k) - 6*v(k). Differentiate x(o) wrt o.
-6*o
Suppose 3*u - 5 = 7. Let m(l) = -l**3 + 2*l**2 + 4*l. Let n be m(3). Find the second derivative of -n*s**4 + 3*s - 2*s + 0*s**u wrt s.
-36*s**2
Let u(d) be the third derivative of d**9/20160 + d**6/360 + d**5/30 - d**2. Let h(g) be the third derivative of u(g). Differentiate h(p) wrt p.
9*p**2
Let f(d) be the first derivative of 19*d**7/7 - 52*d**3/3 - 33. Find the third derivative of f(x) wrt x.
2280*x**3
Suppose 2*c + c - 13 = 2*l, 2*c = l + 9. Let w be 2/2*(l - 0). What is the second derivative of o**2 + w + o - 1 + o**2 wrt o?
4
Let b(t) be the third derivative of -t**8/28 - 7*t**5/60 + 9*t**2. What is the third derivative of b(z) wrt z?
-720*z**2
Let b(f) be the third derivative of 0*f + 0 + 2*f**2 + 1/20*f**5 + 1/6*f**4 + 0*f**3. What is the second derivative of b(c) wrt c?
6
Let a(q) = -q**2 + q + 6. Let h be a(0). Suppose 10 = 4*t - h. Find the third derivative of -3*f**2 - 4*f**4 + f**4 + 2*f**t wrt f.
-24*f
What is the derivative of -57*j**2 + 13*j**2 - 27*j**2 - 10 - 4 wrt j?
-142*j
Let y(n) be the third derivative of 0 + 7/6*n**3 + 0*n - 5*n**2 - 1/60*n**5 + 0*n**4. Find the first derivative of y(r) wrt r.
-2*r
Let b(h) be the third derivative of -h**7/360 - h**6/144 - h**4/6 - 7*h**2. Let v(k) be the second derivative of b(k). Find the second derivative of v(n) wrt n.
-14
What is the first derivative of 8*d**2 - 3*d**2 + 38*d**4 - 25 - 4*d**2 + 1 wrt d?
152*d**3 + 2*d
Let y be ((-2)/(-6))/1*15. Let b = -1 + 5. Find the first derivative of -y*i**3 + 4*i**3 - b + 5 wrt i.
-3*i**2
Let t(o) be the first derivative of 7*o**6/3 - o**3/3 - 6*o**2 - 44. Find the second derivative of t(y) wrt y.
280*y**3 - 2
Let i be 48/10 + 5/25. Find the second derivative of -2*q**5 - 2*q - q**5 - q**i wrt q.
-80*q**3
Let f(t) = -t**3 + t**2 - t + 1. Let g(q) = -18*q**3 - 8*q**2 + 44*q - 8. Let z(d) = 8*f(d) + g(d). What is the second derivative of z(l) wrt l?
-156*l
Let x(b) = 3*b**3 - 5*b**2 - 6*b + 6. Let z(q) = q**2 - q + 1. Let l(d) = x(d) - 6*z(d). Find the third derivative of l(j) wrt j.
18
Let r(a) be the second derivative of 0 + 0*a**6 - a + 0*a**5 + 0*a**2 + 0*a**3 + 1/14*a**7 - 1/12*a**4. What is the third derivative of r(h) wrt h?
180*h**2
What is the third derivative of 14*n**2 - 16*n**2 - 7*n + 19*n**5 + 6*n**5 - 3*n wrt n?
1500*n**2
Suppose -4*b + 3*p = -19, b = -p - p + 2. Find the second derivative of -3*a**b - 3*a**3 + 3*a**3 + 2*a + 0*a**4 wrt a.
-36*a**2
What is the second derivative of -6*p - 8*p**2 + 4*p - 9*p + 0*p wrt p?
-16
Let j(r) be the first derivative of -1/2*r**2 + 0*r**4 + 1/5*r**5 + 1 + 0*r + 0*r**3. What is the second derivative of j(d) wrt d?
12*d**2
Let z(v) be the second derivative of 5*v**7/14 + 3*v**4/4 + 10*v. Find the third derivative of z(y) wrt y.
900*y**2
Let b = 6 + -4. Suppose 0 = -5*n + d + 3, 3 = -2*n - 3*d + b*d. What is the second derivative of 2*g + n*g + 2*g**2 - g wrt g?
4
Let u(t) = t**4 + t**3 - t**2 + 1. Let l(p) = 9*p**4 + 4*p**3 - 4*p**2 - 11. Let g(s) = -l(s) + 4*u(s). What is the derivative of g(z) wrt z?
-20*z**3
Let j = -8 + 8. Suppose j = -4*p + 18 + 2. Find the third derivative of 4*z**p + 5*z**2 - z**2 - 1 + 1 wrt z.
240*z**2
Let m(l) = l**3 - l**2 - l + 1. Let w be m(1). What is the second derivative of b - 3*b - 5*b + w*b**4 + 3*b**4 wrt b?
36*b**2
Let d(g) be the third derivative of g**8/112 + g**4/8 - 12*g**2. Find the second derivative of d(j) wrt j.
60*j**3
Let c be (2 + 0)*-1 - -8. Suppose -3*u + 3 = -c. Find the second derivative of -o**u - o - 4 + 4 wrt o.
-6*o
Let y(m) be the third derivative of -m**8/336 + 11*m**6/120 - m**5/5 + 2*m**3/3 + 40*m**2. Find the third derivative of y(x) wrt x.
-60*x**2 + 66
Suppose 2*q = -3*q + 2*v - 6, 0 = 4*q - 4*v. Let u = 2 - q. What is the third derivative of 4*g - 2*g**5 + g**2 - u*g wrt g?
-120*g**2
Let k(g) be the second derivative of g + 0*g**3 + 2*g**2 + 1/10*g**5 + 0 + 0*g**4. Differentiate k(t) wrt t.
6*t**2
Suppose -4*z - 4*m = 0, 8 - 17 = 2*z + 5*m. Suppose 2*c = -q - z, 2*c - 4*q - 11 = 1. Find the third derivative of 5*k**2 - 3*k**5 + c*k**5 - k**2 wrt k.
-180*k**2
Let i(y) = -y + 1. Let r be i(3). Let c be 3 + (r + 0)*-1. What is the second derivative of 3*x - 47 + x**c + 47 wrt x?
20*x**3
Let h(r) = -r**3 - 5*r**2 + r - 7. Let p be h(-7). Let l be p/49 + 4/14. What is the second derivative of 0*d**2 + 3*d**2 - l*d**2 - 3*d wrt d?
2
What is the third derivative of 147*c - 2*c**4 + 2*c**3 + 53*c**2 - 147*c wrt c?
-48*c + 12
Let r(s) = 0*s**3 + 18 + s**2 - 5*s**3 + 4*s**2 - 6. Let u(y) = 8*y**3 - 7*y**2 - 18. Let h(l) = 7*r(l) + 5*u(l). Differentiate h(p) wrt p.
15*p**2
What is the first derivative of 4*m**2 - 63*m + 63*m - 13 + 20*m**2 wrt m?
48*m
Suppose -6*r + r + 10 = 0. What is the derivative of -3*g**2 + 9*g + 0 + r - 9*g wrt g?
-6*g
Let u(f) be the first derivative of -f**3 - 5*f**2/2 - 10. What is the second derivative of u(c) wrt c?
-6
Suppose -8 = -4*d - 0. What is the first derivative of 2 + 2 + d*m**2 + 0*m**2 wrt m?
4*m
Let v(r) be the first derivative of r**5/5 + r**4/3 - 4*r + 6. Let j(z) be the first derivative of v(z). What is the third derivative of j(a) wrt a?
24
Find the third derivative of 4*g**2 - 36*g**4 + 18*g**4 + 10*g**2 wrt g.
-432*g
Let d(k) = 2*k**3 - k**2 - 2*k - 2. Let n be d(2). Find the second derivative of 1 - 1 + n*o - 9*o**2 - 2*o wrt o.
-18
Let c(p) be the third derivative of -p**9/126 + 2*p**5/15 - 5*p**2. What is the third derivative of c(f) wrt f?
-480*f**3
Suppose 2*f = -1 - 1. Let x be (f + -1)*3/(-2). Find the third derivative of 4*a**x - 2*a**2 - 6*a**3 - a**3 wrt a.
-18
Suppose -x = -3*f + x + 1, 4*f + x - 16 = 0. Differentiate t**f - 6*t + 6*t - 2 with respect to t.
3*t**2
Let d(m) = -2*m - 13. Let t be d(-9). Suppose -u = -t*u. Find the third derivative of -p**6 + u*p**3 + 0*p**3 - p**2 wrt p.
-120*p**3
Let x(u) be the first derivative of -u**8/560 + u**6/90 + 2*u**3/3 + 3. Let l(h) be the third derivative of x(h). Find the third derivative of l(g) wrt g.
-72*g
Let x(q) = -4*q**2 - 5. Let t(d) be the first derivative of -20*d**3/3 - 24*d - 8. Let h(g) = -2*t(g) + 11*x(g). What is the first derivative of h(p) wrt p?
-8*p
Differentiate -35*z**2 + 0*z**2 + 0*z**2 - 2 wrt z.
-70*z
Let j be 2/(-9) - (-8)/36. Let o(p) be the third derivative of 0*p + 0*p**3 + 1/24*p**4 + j - 2*p**2 + 1/60*p**5. Find the second derivative of o(q) wrt q.
2
Let v(b) = -b**3 + 4*b**2 - b - 5. Let y be v(4). Let i be 5 - (-3)/y*3. Find the third derivative of -3*x**2 + i*x**2 + x**2 + 3*x**4 wrt x.
72*x
Suppose 5*v + 2 = 6*v. What is the third derivative of 0*y**4 - v*y**2 + 0*y**4 - 9*y**6 + 3*y**2 wrt y?
-1080*y**3
Let b(a) = a**2 - a. Let t be b(-1). What is the third derivative of -t*x**4 - 4*x**2 + 2*x**2 - 3*x**2 + 2*x**2 wrt x?
-48*x
Let f(l) = -l**2 - 3*l + 3. Let y be f(-3). What is the derivative of 2*a**y - 8*a**3 + 9 - 7 wrt a?
-18*a**2
Let n(m) = m**3 - 14*m**2 - 14*m - 7. Let h be n(15). What is the second derivative of -3*i**2 + h*i - 9*i - 5*i**2 + 5*i**2 wrt i?
-6
Let r(f) = -29*f**4 + 11*f**3 - 21*f + 11. Let s(t) = 10*t**4 - 4*t**3 + 7*t - 4. Let m(z) = 4*r(z) + 11*s(z). What is the second derivative of m(a) wrt a?
-72*a**2
Find the third derivative of -19*y**4 - 243 - 2*y**2 - 7*y**4 + 204 - 27*y**4 wrt y.
-1272*y
Let o(n) be the third derivative of 0*n + 1/12*n**4 + 1/15*n**5 + 0*n**3 - 6*n**2 + 0. What is the second derivative of o(x) wrt x?
8
Let z(u) = 9*u + 22. Let r(g) = -19*g - 44. Let c(b) = 2*r(b) + 5*z(b). What is the first derivative of c(q) wrt q?
7
Let c(t) = 10 + 10 + 11*t**2 - 61*t**3 + 25*t**3 - 6. Let k(y) = 7*y | {
"pile_set_name": "DM Mathematics"
} |
z + 191*u*z - u + 5*v*z - 2*v + 12*z wrt u.
6*v*z - 4*v - 7418*z - 22
Differentiate 54360*l**3 - 41914 wrt l.
163080*l**2
Find the second derivative of 2*c**5 + 11169*c**3*s - 3*c**2*s + 3*c*s - 2*c + 1078*s - 2 wrt c.
40*c**3 + 67014*c*s - 6*s
Differentiate -5238*l*z**3 + 3*l*z - 17*l - z**3 + 4*z**2 - 2*z + 830 wrt l.
-5238*z**3 + 3*z - 17
Find the second derivative of 48*r**4 + r**3 - 2773*r**2 - 785*r - 393 wrt r.
576*r**2 + 6*r - 5546
Find the third derivative of -36018*s**3*t**3 - 26*s**3 + 2654*s*t**2 - 2*t**5 wrt t.
-216108*s**3 - 120*t**2
Find the second derivative of 9597*u**5 + u**3 + 1345*u - 2.
191940*u**3 + 6*u
What is the third derivative of 2*d**3*m*y**3 - 3*d**3*y**2 - d*m - 19*m*y**3 + 178*m*y**2 + 4*y**3 - 7*y**2 wrt y?
12*d**3*m - 114*m + 24
Find the third derivative of 7*l**3*w**3 + l**3*w**2 - 5577*l**2*w**2 - 122*l*w**6 + 2*l - 3*w**2 wrt w.
42*l**3 - 14640*l*w**3
What is the second derivative of 4202229*v**2 - 2816674*v wrt v?
8404458
Find the first derivative of 2*k**2*q + 14*k**2 + 9*k*q + 93*q + 13 wrt k.
4*k*q + 28*k + 9*q
What is the second derivative of -26481*b**2*p*w**2 + b**2*p*w - 2920*b**2*p + 4*b**2*w**2 + 19*p*w wrt w?
-52962*b**2*p + 8*b**2
Differentiate 34494*u - 16717.
34494
Find the third derivative of -h**5*z - 930*h**4*z - 6*h**3*z - 81*h**2*z + 10*h*z - 7 wrt h.
-60*h**2*z - 22320*h*z - 36*z
What is the second derivative of -992*v**5 - 5*v**4 + 2*v**3 - 2510*v wrt v?
-19840*v**3 - 60*v**2 + 12*v
What is the first derivative of 1474555*w**2 - 105574?
2949110*w
What is the second derivative of -9*w**2*x**2 - 2*w**2 - 27382*w*x**4 - 4*w + x - 77973 wrt x?
-18*w**2 - 328584*w*x**2
Find the third derivative of -3*m**6 - 21*m**4 - 85*m**3*q + 2*m**2*q + 211759 wrt m.
-360*m**3 - 504*m - 510*q
What is the third derivative of 394240*g*l**3 - 291*g*l**2 + g + 18*l + 4 wrt l?
2365440*g
Find the third derivative of -q**6 - 210240*q**3 - 1234417*q**2.
-120*q**3 - 1261440
Find the third derivative of 1095120*s**3 - 2*s**2 + 4543530*s wrt s.
6570720
What is the second derivative of 1462493*p**2*s + 106*p*s + p - 31*s - 4 wrt p?
2924986*s
What is the derivative of -32560*u**2 - 9*u + 24642 wrt u?
-65120*u - 9
What is the third derivative of -49531*s**4 + 22445*s**2 - s - 2?
-1188744*s
What is the second derivative of 1814598*i**2*j**2*p**2 - 213*i**2*j*p**2 + i**2*p + 2*i**2 + 60*i*j*p**2 + i*j*p - 2*j**2 - 2*j*p**2 wrt j?
3629196*i**2*p**2 - 4
What is the second derivative of -17*d*t**3 + 8*d*t**2 + 54*d - 51*t**3 + 2*t - 14 wrt t?
-102*d*t + 16*d - 306*t
Find the second derivative of 328*x**5 + 11*x**2 - 214823*x wrt x.
6560*x**3 + 22
Find the third derivative of 6727*u**3 + u**2 + 2*u - 553.
40362
What is the third derivative of 525*w**5 - 4*w**4 - 3*w**3 + 3604*w**2 + 1?
31500*w**2 - 96*w - 18
What is the second derivative of 112816*c**5 - 94631*c wrt c?
2256320*c**3
What is the first derivative of -1242*w**4*z - 415*w**2*z**2 + 109*z**2 - 381*z wrt w?
-4968*w**3*z - 830*w*z**2
Find the second derivative of 22700*w**5 - 9*w**4*x - 7*w*x + w - 56*x + 651 wrt w.
454000*w**3 - 108*w**2*x
What is the third derivative of 9279*l**5 - 3*l**4 - 4*l**3 + 22052*l**2 + l + 1 wrt l?
556740*l**2 - 72*l - 24
What is the first derivative of 58*j**3 - 122*j**2 - 144202?
174*j**2 - 244*j
Find the second derivative of 204330*d**3*l**2 + 57526*d**3*l + d*l + 1 wrt l.
408660*d**3
What is the derivative of 269*m**2 - 1494*m + 498967?
538*m - 1494
Find the third derivative of -2193972*w**4 - 1069*w**2 - 2*w - 134.
-52655328*w
What is the third derivative of 38467*w**4 - 24*w**2 - 519 wrt w?
923208*w
Find the third derivative of -54*h*n**3 + 34*h*n**2 - 4*h + 82*n**5 wrt n.
-324*h + 4920*n**2
What is the third derivative of 2083080*t**4 - 94*t**2 - 138*t + 7 wrt t?
49993920*t
Find the third derivative of -292*h*j**6 - 48*h*j**3 - 2*h*j**2 + 418*j**2 - 2*j wrt j.
-35040*h*j**3 - 288*h
Find the first derivative of 47303*g**4 - 154610.
189212*g**3
Find the second derivative of 7860*t**4 - 2*t**3 + t**2 - 79526*t - 1.
94320*t**2 - 12*t + 2
What is the second derivative of 207125*l**2 - 130031*l?
414250
Find the second derivative of -4690*t**5 + 2*t**3 - 2*t**2 - 39494*t.
-93800*t**3 + 12*t - 4
What is the second derivative of 2*m**4 + 10868*m**3*w**3 + 141*m*w**3 + 17*m*w**2 wrt m?
24*m**2 + 65208*m*w**3
What is the second derivative of b**2*k**3*x + 11*b**2*k*x**2 - 6*b**2*k - 2*b**2*x - b + 106*k**3*x**2 - 222*k**3 + 2*k*x**2 wrt x?
22*b**2*k + 212*k**3 + 4*k
What is the third derivative of 223548*u**4 + 449570*u**2 wrt u?
5365152*u
Find the second derivative of 41513*u**2 - 1979*u - 3 wrt u.
83026
Find the second derivative of -l**3*m**2*z**2 + 55281*l**3*m**2*z + 4*l**3*m*z**2 + 444*l*m*z**2 wrt m.
-2*l**3*z**2 + 110562*l**3*z
What is the third derivative of -33181*l**5 - 77246*l**2?
-1990860*l**2
What is the third derivative of 69*f**6 + 131*f**5 + f**3 + 113660*f**2 + 2*f + 1 wrt f?
8280*f**3 + 7860*f**2 + 6
Find the second derivative of -21*j**3*k + 3*j**3 - 17*j**2*k - j**2 + 97*j*k - 14*j + k wrt j.
-126*j*k + 18*j - 34*k - 2
What is the second derivative of -47940*x**3 + 186231*x?
-287640*x
Find the first derivative of -1071*d**3*l**3 - 31*d**3*l**2*q - 22*d*l**2 + 8666*l**3*q - l**3 wrt q.
-31*d**3*l**2 + 8666*l**3
What is the second derivative of -102*j**3 + 2361*j**2 - 822057*j wrt j?
-612*j + 4722
Find the third derivative of 40*a**3*o**4 - 138*a**3*o**2 + 44*a**3*o - 81*a**2*i**2*o**4 + i**2*o**2 - i*o wrt o.
960*a**3*o - 1944*a**2*i**2*o
What is the third derivative of -57*z**4 + 105*z**3 - 7*z**2 - 10*z - 47 wrt z?
-1368*z + 630
Find the second derivative of 540*l**4 + 27*l**3 - 19*l**2 - 3171758*l wrt l.
6480*l**2 + 162*l - 38
Differentiate 25*f**2*j*k**3 - f**2*j + 8*f*k**3 + 15*j - 427*k**3 wrt f.
50*f*j*k**3 - 2*f*j + 8*k**3
What is the second derivative of 501589*w**4 - 13440*w + 3 wrt w?
6019068*w**2
What is the derivative of -g**2*t**2 - 22*g**2*t - 41*g**2 - 64*t**3 + 389 wrt t?
-2*g**2*t - 22*g**2 - 192*t**2
What is the second derivative of 1672*g**2*m*z - 2*g**2*m - 6*g**2*z + 2*g**2 + 226*g*m*z - g*z - g + 43 wrt g?
3344*m*z - 4*m - 12*z + 4
Differentiate 14302*c**4*p - p - 36745 wrt c.
57208*c**3*p
Find the second derivative of 115*j**4 + 73*j**3 - 6*j**2 - 93069*j.
1380*j**2 + 438*j - 12
What is the second derivative of -342298*c**4 + 5*c - 8696 wrt c?
-4107576*c**2
Find the third derivative of -116746*q**3 + 2*q**2 + 39515*q - 3 wrt q.
-700476
What is the second derivative of 178102*j**3 + 14070*j?
1068612*j
Find the third derivative of -344*b**2*j**4 + 8*b**2*j**2 - 4*b**2*j + 209*b*j**3 - 2*j**2 + 52*j wrt j.
-8256*b**2*j + 1254*b
Find the first derivative of 147034*r**3 - 48153 wrt r.
441102*r**2
Find the second derivative of -663902*z**2 - 5*z + 158322 wrt z.
-1327804
What is the second derivative of -3*x**4 - 22*x**3 + 2*x**2 - 1362439*x wrt x?
-36*x**2 - 132*x + 4
Find the second derivative of 178713*a**2*n**2*v**2 - 4*a**2*v**2 - 11*a*n*v - 636*n*v**2 wrt n.
357426*a**2*v**2
Differentiate -183*g**2*w + 43514*g**2 - 149*g*w + 2*w with respect to w.
-183*g**2 - 149*g + 2
Find the third derivative of 13*k**3*m*o**3 - 214*k**3*m*o - 7*k**3*m + 2*k**2*m*o**3 + 9*k**2*m + 2*k**2*o**2 - 3*k*m*o**3 - 2*k*m*o**2 wrt k.
78*m*o**3 - 1284*m*o - 42*m
What is the third derivative of -p**2*s**3 + p**2*s + 116814*s**3 + 45711*s**2 wrt s?
-6*p**2 + 700884
What is the derivative of -12*r**3*w - 7*r**3 - 5*r + 13872*w**4 - 192 wrt w?
-12*r**3 + 55488*w**3
Find the first derivative of 3600*p**3 - 16*p + 99659 wrt p.
10800*p**2 - 16
Find the second derivative of 30*q**2*r**2 - 77*q**2*r - 21*q**2 + 2*q*r**2 + 737*q*r + 6*q - 6*r**2 wrt q.
60*r**2 - 154*r - 42
What is the second derivative of -5*v**4 + 12409*v**3 - 199483*v wrt v?
-60*v**2 + 74454*v
Differentiate -2392*w**4 + 216*w**2 - 360496 wrt w.
-9568*w**3 + 432*w
What is the second derivative of -66224*n**4 + 1050*n + 30 wrt n?
-794688*n**2
What is the derivative of -1795041*b - 2518411 wrt b?
-1795041
Find the first derivative of 83*i**2 - 905*i - 83365.
166*i - 905
What is the second derivative of -605272*h**2 - 18*h + 14172?
-1210544
Find the second derivative of 173*j**2*o*v*w + 125*j**2*o - 2*j**2*v*w**2 + 6*j*v*w**2 - 3*j*v - 5*j*w + 2*o*w**2 + o + 5*v*w* | {
"pile_set_name": "DM Mathematics"
} |
lve -11 = -t - 16 for t.
-5
Solve 7*q + 84 = 126 for q.
6
Solve 113 = -63*x - 328 for x.
-7
Solve -131*o - 34 = -148*o for o.
2
Solve 27*k = 23*k + 12 for k.
3
Solve 112*a + 140 = 92*a for a.
-7
Solve 46 - 30 = -4*y for y.
-4
Solve -5*d + 395 = 370 for d.
5
Solve 26*o = 19*o - 35 for o.
-5
Solve -124*y + 98*y = 52 for y.
-2
Solve 17*f - 19*f = -6 for f.
3
Solve -7*m + 7 + 7 = 0 for m.
2
Solve -13 - 103 = 29*p for p.
-4
Solve -15 = 14*a - 1 for a.
-1
Solve 48*i + 210 = 13*i for i.
-6
Solve -4*z + 3 = -3*z for z.
3
Solve -19*a - 12 = -7*a for a.
-1
Solve -11*x = 12*x - 7*x for x.
0
Solve -1463 = -7*h - 1428 for h.
5
Solve 0 = 10*z + 2*z + 10*z for z.
0
Solve 2*s + 8 - 2 = 0 for s.
-3
Solve 3*z = 4 - 22 for z.
-6
Solve 0 = -2*w + 31 - 35 for w.
-2
Solve -3873*b - 34 = -3890*b for b.
2
Solve 17 = 4*k + 9 for k.
2
Solve -27 = 6*o - 15 for o.
-2
Solve 4*a - 78 = -66 for a.
3
Solve 0 = -w + 14 - 18 for w.
-4
Solve -33 = -6*h - 3 for h.
5
Solve -21*f + 9*f + 84 = 0 for f.
7
Solve -378*o + 371*o = -28 for o.
4
Solve 23*q - 21*q = -2 for q.
-1
Solve -48 = 19*m - 10 for m.
-2
Solve -41*o + 28*o + 78 = 0 for o.
6
Solve 0 = -7*y + 87*y + 400 for y.
-5
Solve -8*h + 6 = -10 for h.
2
Solve -239 = -38*k - 49 for k.
5
Solve 0*i = 6*i for i.
0
Solve -45*g = -g + 132 for g.
-3
Solve 13 + 23 = -9*n for n.
-4
Solve 0 = 6*q + 30 - 0 for q.
-5
Solve 16*l = -17*l + 14*l for l.
0
Solve -58 = -38*p - 20*p for p.
1
Solve 383*n - 378*n = -25 for n.
-5
Solve 160*m - 164*m + 4 = 0 for m.
1
Solve -43*q + 26 = -17*q for q.
1
Solve 17*o + 55 + 47 = 0 for o.
-6
Solve 5*q + 9 = -11 for q.
-4
Solve 36 = 4*n + 36 for n.
0
Solve 15*l = -8*l - 23 for l.
-1
Solve 18*w - 39 = -21 for w.
1
Solve 5*b - 44 = -39*b for b.
1
Solve -18*z + 17 = 107 for z.
-5
Solve 5*f - 45 = -4*f for f.
5
Solve -262 = 50*p + 38 for p.
-6
Solve 0 = -11*t - 35 + 79 for t.
4
Solve 0 = 13*y + 2 + 63 for y.
-5
Solve 453 = 4*t + 449 for t.
1
Solve -3*d = 220 - 211 for d.
-3
Solve -13*m + 16*m - 3 = 0 for m.
1
Solve 37*o - 38*o = 4 for o.
-4
Solve -56*i - 4 = -52*i for i.
-1
Solve 20*z = 48*z - 84 for z.
3
Solve -2*o + 3 + 1 = 0 for o.
2
Solve 6*k = 2*k - 3*k for k.
0
Solve 1466 = -21*j + 1613 for j.
7
Solve -39*p = -38*p for p.
0
Solve -5*v - 2*v - 21 = 0 for v.
-3
Solve -7*s + 91 = 84 for s.
1
Solve -8*a + 211 - 171 = 0 for a.
5
Solve -26 = -3*t - 20 for t.
2
Solve 2*g - 21 + 15 = 0 for g.
3
Solve -g - 19 + 21 = 0 for g.
2
Solve -3*b - 20 = -11 for b.
-3
Solve 0 = 8*j - 9 + 25 for j.
-2
Solve -3*g - 9 = 3 for g.
-4
Solve 3293 = b + 3291 for b.
2
Solve -45*g = -38*g for g.
0
Solve -3*f - 3*f + 24 = 0 for f.
4
Solve 0 = -2*c - 2*c + 8 for c.
2
Solve -50 = 214*n - 224*n for n.
5
Solve 0 = -2*n - 13 + 5 for n.
-4
Solve 18*o - 21*o + 9 = 0 for o.
3
Solve 2*f + 2 = 10 for f.
4
Solve 215*a = 227*a - 84 for a.
7
Solve 0 = -9*a - 3*a - 60 for a.
-5
Solve p = 21*p - 120 for p.
6
Solve 2*k - 24 + 22 = 0 for k.
1
Solve -3*z = -53 + 50 for z.
1
Solve 68*x + 28 = 96*x for x.
1
Solve 25 = -4*o + 49 for o.
6
Solve -27*k + 221 = 5 for k.
8
Solve -173*m + 195*m = -198 for m.
-9
Solve -168 = 31*j - 115*j for j.
2
Solve 88*q - 45*q = 0 for q.
0
Solve 0*q + 3*q = -3*q for q.
0
Solve -10*u = -207 + 257 for u.
-5
Solve -51*d - 66 = -18*d for d.
-2
Solve -y + 1 = -0*y for y.
1
Solve 173 - 333 = -20*i for i.
8
Solve 0 = -10*j + 4*j + 30 for j.
5
Solve -30 + 125 = 19*z for z.
5
Solve -3*r - 2*r = -20 for r.
4
Solve 0 = -34*v + 63*v - 32*v for v.
0
Solve 8*v - 10 = 6*v for v.
5
Solve -25*a - 21*a = -322 for a.
7
Solve -5*w = -17 + 2 for w.
3
Solve 0 = -2*f - 37*f - 78 for f.
-2
Solve 314 - 370 = -28*d for d.
2
Solve 2*a = -0*a + 4 for a.
2
Solve -7*f + 30 = -13*f for f.
-5
Solve -30*t = -28*t for t.
0
Solve 2*v - 7 = -1 for v.
3
Solve 0 = -9*r + 36 + 36 for r.
8
Solve 0 = -94*q + 635 - 259 for q.
4
Solve 422 - 413 = 3*k for k.
3
Solve -73*x = -69*x - 4 for x.
1
Solve 21*i + 22*i = 34*i for i.
0
Solve 13*u - 5*u = 24 for u.
3
Solve -45 = -36*s + 99 for s.
4
Solve 15*n - 3 - 12 = 0 for n.
1
Solve 3*t = 8*t + 4*t for t.
0
Solve -13 - 11 = -12*j for j.
2
Solve -18*a = 13*a - 155 for a.
5
Solve 117*a + 357 - 1527 = 0 for a.
10
Solve 0 = 13*s - 25 - 40 for s.
5
Solve 0 = -3*j - 6 for j.
-2
Solve -87*v = -92*v - 20 for v.
-4
Solve -9 = 22*v - 19*v for v.
-3
Solve -626 + 598 = 4*k for k.
-7
Solve 5*d - 180 = -15*d for d.
9
Solve 0 = 36*z - 8*z + 252 for z.
-9
Solve 23*z - 15 = 100 for z.
5
Solve 18 = 2*s + s for s.
6
Solve 0 = -58*d + 51*d - 7 for d.
-1
Solve 18 = 213*c - 195*c for c.
1
Solve -51 = 29*y - 22 for y.
-1
Solve 5*d + 3 = 6*d for d.
3
Solve 16 - 13 = -i for i.
-3
Solve 0*x + 6 = 3*x for x.
2
Solve 1230*f = 1243*f - 91 for f.
7
Solve 0 = -4*w + 7*w - 12 for w.
4
Solve 0 = 85*l - 80*l - 10 for l.
2
Solve 0 = -10557*p + 10565*p - 56 for p.
7
Solve 236 = -10*r + 206 for r.
-3
Solve -5*x + 5 = -6*x for x.
-5
Solve 122*n = 149*n - 243 for n.
9
Solve -164 = 14*z - 66 for z.
-7
Solve 6 = 9*b + 15 for b.
-1
Solve 9 = 8*l - 11*l for l.
-3
Solve -29 = 8*d - 5 for d.
-3
Solve -8*t = -10*t for t.
0
Solve -15*a + 6 = -14*a for a.
6
Solve 132 = -32*d - 60 for d.
-6
Solve -19*o - 16 = -15*o for o.
-4
Solve -2*n - 5*n = 14 for n.
-2
Solve 766*k = 773*k + 56 for k.
-8
Solve -12 = 56*q - 54*q for q.
-6
Solve 105*d + 216 = 159*d for d.
4
Solve 6*h - 3 = 5*h for h.
3
Solve 0*y - 4*y = -8*y for y.
0
Solve -42*a + 78 = -68*a for a.
-3
Solve 2*n + 5*n + 7 = 0 for n.
-1
Solve 4*n - 41 = -53 for n.
-3
Solve -25 = 9*p - 7 for p.
-2
Solve -4*m - 3 = -3*m for m.
-3
Solve -2*w = -0 + 2 for w.
-1
Solve 5*b - 95 + 110 = 0 for b.
-3
Solve -3*b + 28 - 16 = 0 for b.
4
Solve -6*b + 926 = 914 for b.
2
Solve -165 = 409*s - 442*s for s.
5
Solve 16*u = -0*u - 6*u for u.
0
Solve -41*j + 371 = 2 for j.
9
Solve -70*s + 54*s + 48 = 0 for s.
3
Solve -53 = -51*h + 151 for h.
4
Solve 9 = -15*u + 54 for u.
3
Solve -24 = 4*s - 20 for s.
-1
Solve 7*q + 38 = 80 for q.
6
Solve 81*q - 658 = -91 for q.
7
Solve 4*t + 38 = 46 for t.
2
Solve 0 + 28 = -7*z for z.
-4
Solve -62*v + 59*v - 3 = 0 for v.
-1
Solve -7 = -4*x - 3 for x.
1
Solve 12 = 2*o + 20 for o.
-4
Solve -44*m - 112 = -100*m for m.
2
Solve -4*b + 11 - 27 = 0 for b.
-4
Solve 12*m = 38*m + 156 for m.
-6
Solve 3 = 33*a - 30*a for a.
1
Solve -135 = -33*d - 36 for d.
3
Solve -7*l - 2*l - 9 = 0 for l.
-1
Solve 75 - 60 = 3*n for n.
5
Solve -q - 25 = 24*q for q.
-1
Solve 15 = -7*g + 57 for g.
6
Solve 0 = 5*m - 7 - 18 for m.
5
Solve 22 = 3*q + 25 for q.
-1
Solve -5*u - 31 = -21 for u.
-2
Solve 4*y - 16 = -24 for y.
-2
Solve 76*o + 4*o = 640 for o.
8
Solve 3*c - 10*c = -c for c.
0
Solve 114 - 72 = -6*n for n.
-7
Solve 211*n = 203*n for n.
0
Solve 16*k - 20 - 12 = 0 for k.
2
Solve 36 = -17*v + 8*v for v.
-4
Solve 15*h + 2 = 13*h for h.
-1
Solve 328*b - 6 = 329*b for b.
-6
Solve 141 = s + 142 for s.
-1
Solve -32*l = -41*l for l.
0
Solve -l - 16 = -20 for l.
4
Solve -23*k = -18*k for k.
0
Solve 0 = -1558*z + 1564*z + 36 for z.
-6
Solve -458 + 530 = -9*q for q.
-8
Solve 2*m + 37*m = 156 for m.
4
Solve -1063*r + 1053*r - 10 = 0 for r.
-1
Solve 9*v + 0 = -9 for v.
-1
Solve 13*i + 27 + 64 = 0 for i.
-7
Solve 0 = g - 18 + 20 for g.
-2
Solve -7*c = -8*c + 3 for c.
3
Solve -2*a + 33 = 27 for a.
3
Solve -23 + 31 = -2*s for s.
-4
Solve -7 = -12*p - 43 for p.
-3
Solve -7*h + 3*h = 0 for h.
0
Solve -19*y + 232 = 327 for y.
-5
Solve 2*s + 20 = 20 for s.
0
Solve -2*r = -7*r - 0*r for r.
0
Solve -7*c + 2*c = -15 for c.
3
Solve 0 = -6*h - 444 + 468 for h.
4
Solve -20 = 3*c - 8 for c.
-4
Solve -190*d + 12 = -192*d for d.
-6
Solve 13*p = -6 + 123 for p.
9
Solve 16 - 46 = 3*k for k.
-10
Solve -s + 1 = -4 for s.
5
Solve 22*w + 16 + 116 = 0 for w.
-6
Solve 68*w + 10 = 58*w for w.
-1
Solve -31*i + 45 + 110 = 0 for i.
5
Solve 168*d - 40*d - 640 = 0 for d.
5
Solve -5*q + 2139 - 2169 = 0 for q.
-6
Solve -j = 3*j - 12 for j.
3
Solve -10*g = -3*g + 14 for g.
-2
Solve 9*t = 4*t + 5 for t.
1
Solve 67*o = 60*o + 7 for o.
1
Solve -20*d = 4 + 76 for d.
-4
Solve -29*q = 244 - 70 for q.
-6
Solve -16 = 2*j - 6*j for j.
4
Solve -157 = -5*u - 127 for u.
6
Solve -532*q = -538*q + 48 for q.
8
Solve 4*t - 5 + 21 = 0 for t.
-4
Solve -38*g - 129 - 23 = 0 for g.
-4
Solve 13*q - 4*q + 9 = 0 for q.
-1
Solve 283*w + 12 = 287*w for w.
3
Solve 21 - 6 = 15*p for p.
1
Solve -7*s = -36 | {
"pile_set_name": "DM Mathematics"
} |
4250, 11296, 18322, 25328, 32314, 39280?
-10*g**2 + 7076*g - 2816
What is the j'th term of 981906, 981905, 981904, 981903, 981902, 981901?
-j + 981907
What is the m'th term of 2418346, 2418272, 2418198, 2418124?
-74*m + 2418420
What is the z'th term of 64544061, 64544060, 64544059, 64544058, 64544057, 64544056?
-z + 64544062
What is the w'th term of -91, -19, 249, 833, 1853, 3429, 5681, 8729?
20*w**3 - 22*w**2 - 2*w - 87
What is the z'th term of -4309, -4648, -5139, -5782, -6577?
-76*z**2 - 111*z - 4122
What is the f'th term of -30272, -59746, -89220?
-29474*f - 798
What is the f'th term of 3771, 16657, 38135, 68205, 106867?
4296*f**2 - 2*f - 523
What is the f'th term of 374846, 749715, 1124584, 1499453?
374869*f - 23
What is the i'th term of 7539, 18165, 28791, 39417?
10626*i - 3087
What is the d'th term of 606207, 1212414, 1818621, 2424828, 3031035?
606207*d
What is the i'th term of 423111, 846227, 1269347, 1692471, 2115599?
2*i**2 + 423110*i - 1
What is the o'th term of -1903026, -3806025, -5709024, -7612023, -9515022, -11418021?
-1902999*o - 27
What is the u'th term of -2613355, -2613362, -2613369, -2613376?
-7*u - 2613348
What is the r'th term of 12882, 51628, 116222, 206664, 322954, 465092, 633078?
12924*r**2 - 26*r - 16
What is the c'th term of -944146, -944140, -944134, -944128, -944122, -944116?
6*c - 944152
What is the r'th term of -25921, -26331, -26741, -27151, -27561, -27971?
-410*r - 25511
What is the c'th term of 5468957, 10937916, 16406875, 21875834, 27344793, 32813752?
5468959*c - 2
What is the i'th term of -2374, -5454, -8520, -11566, -14586, -17574, -20524, -23430?
i**3 + i**2 - 3090*i + 714
What is the o'th term of 195193, 195156, 195023, 194746, 194277, 193568?
-8*o**3 + 19*o + 195182
What is the l'th term of 164899, 329556, 494203, 658834, 823443, 988024, 1152571?
-l**3 + l**2 + 164661*l + 238
What is the t'th term of 13879, 107724, 362319, 858040, 1675263, 2894364, 4595719?
13396*t**3 - t**2 + 76*t + 408
What is the j'th term of 202469986, 404939968, 607409950, 809879932, 1012349914?
202469982*j + 4
What is the g'th term of 449, 310, 335, 524?
82*g**2 - 385*g + 752
What is the y'th term of 5624, 4296, 2968, 1640, 312?
-1328*y + 6952
What is the n'th term of -163900, -655588, -1475066, -2622334?
-163895*n**2 - 3*n - 2
What is the x'th term of -36986, -36677, -36368, -36059?
309*x - 37295
What is the q'th term of 4445, 20961, 48507, 87089, 136713, 197385, 269111, 351897?
q**3 + 5509*q**2 - 18*q - 1047
What is the c'th term of -1694, -2383, -3158, -4061, -5134, -6419, -7958?
-7*c**3 - c**2 - 637*c - 1049
What is the a'th term of 31658064, 31658020, 31657976, 31657932, 31657888?
-44*a + 31658108
What is the d'th term of 43388741, 86777478, 130166215, 173554952, 216943689?
43388737*d + 4
What is the j'th term of 5019871, 10039742, 15059613, 20079484?
5019871*j
What is the j'th term of 20692, 83458, 188302, 335224, 524224?
21039*j**2 - 351*j + 4
What is the t'th term of 33357918, 33357915, 33357910, 33357903?
-t**2 + 33357919
What is the p'th term of -937, -564, 271, 1742, 4023, 7288, 11711?
29*p**3 + 57*p**2 - p - 1022
What is the z'th term of -1928, -8981, -21132, -38381, -60728, -88173?
-2549*z**2 + 594*z + 27
What is the z'th term of 25623, 102450, 230489, 409740, 640203, 921878, 1254765?
25606*z**2 + 9*z + 8
What is the a'th term of 256763, 253614, 250465, 247316?
-3149*a + 259912
What is the v'th term of 1274764878, 1274764877, 1274764876?
-v + 1274764879
What is the h'th term of -28802, -27257, -25710, -24161, -22610, -21057, -19502?
h**2 + 1542*h - 30345
What is the v'th term of -203330703, -203330702, -203330701, -203330700, -203330699?
v - 203330704
What is the u'th term of 5288, 16645, 34074, 57575, 87148, 122793?
3036*u**2 + 2249*u + 3
What is the f'th term of -974245, -974252, -974263, -974278, -974297?
-2*f**2 - f - 974242
What is the g'th term of 38627, 56221, 73815, 91409, 109003, 126597?
17594*g + 21033
What is the k'th term of 26007, 26658, 27707, 29154, 30999, 33242?
199*k**2 + 54*k + 25754
What is the m'th term of -26587, -47445, -68303, -89161, -110019?
-20858*m - 5729
What is the s'th term of -8038578, -32154354, -72347326, -128617494?
-8038598*s**2 + 18*s + 2
What is the z'th term of -39, -368, -963, -1818, -2927?
z**3 - 139*z**2 + 81*z + 18
What is the n'th term of -6095948, -12192323, -18288696, -24385067?
n**2 - 6096378*n + 429
What is the j'th term of -35766, -143280, -322462, -573306, -895806, -1289956, -1755750, -2293182?
j**3 - 35840*j**2 - j + 74
What is the p'th term of -9299, -18254, -27209, -36164, -45119?
-8955*p - 344
What is the z'th term of -342695, -685176, -1027657, -1370138, -1712619, -2055100?
-342481*z - 214
What is the y'th term of -25436, -100672, -226066, -401618?
-25079*y**2 + y - 358
What is the c'th term of -8370, -33535, -75488, -134229, -209758?
-8394*c**2 + 17*c + 7
What is the k'th term of 73038, 74129, 75220, 76311, 77402?
1091*k + 71947
What is the s'th term of -15885892, -15885894, -15885896?
-2*s - 15885890
What is the t'th term of 1264555, 1264554, 1264555, 1264558?
t**2 - 4*t + 1264558
What is the o'th term of -342525, -1369719, -3081583, -5478117?
-342335*o**2 - 189*o - 1
What is the a'th term of -390, -3284, -11142, -26448, -51686, -89340, -141894?
-414*a**3 + 2*a**2 - 2*a + 24
What is the n'th term of -68092218, -68092220, -68092222, -68092224?
-2*n - 68092216
What is the l'th term of -11428, -48851, -111218, -198529, -310784, -447983, -610126?
-12472*l**2 - 7*l + 1051
What is the i'th term of 513, 1630, 2727, 3804, 4861?
-10*i**2 + 1147*i - 624
What is the h'th term of -73783, -74664, -75547, -76432, -77319, -78208, -79099?
-h**2 - 878*h - 72904
What is the f'th term of 96828, 194577, 292322, 390063?
-2*f**2 + 97755*f - 925
What is the q'th term of -13569, -27172, -40771, -54366, -67957, -81544?
2*q**2 - 13609*q + 38
What is the c'th term of 32593, 65184, 97775?
32591*c + 2
What is the w'th term of 82254929, 164509852, 246764775, 329019698, 411274621?
82254923*w + 6
What is the s'th term of -4209991, -8419982, -12629973, -16839964?
-4209991*s
What is the v'th term of 447654, 447672, 447690, 447708?
18*v + 447636
What is the k'th term of 73481, 57629, 41775, 25919, 10061, -5799?
-k**2 - 15849*k + 89331
What is the t'th term of -1274, -2925, -4964, -7385, -10182, -13349, -16880, -20769?
t**3 - 200*t**2 - 1058*t - 17
What is the z'th term of 40080, 55937, 71794, 87651, 103508?
15857*z + 24223
What is the u'th term of -1685, -3323, -5007, -6743, -8537, -10395, -12323, -14327?
-u**3 - 17*u**2 - 1580*u - 87
What is the m'th term of -88, -477, -1294, -2671, -4740, -7633, -11482, -16419?
-22*m**3 - 82*m**2 + 11*m + 5
What is the w'th term of -86334, -172736, -259138, -345540?
-86402*w + 68
What is the l'th term of -286690183, -286690187, -286690193, -286690201, -286690211?
-l**2 - l - 286690181
What is the t'th term of -4760, -31765, -103276, -241547, -468832?
-3709*t**3 + t**2 - 1045*t - 7
What is the l'th term of -8254751, -8254752, -8254753, -8254754?
-l - 8254750
What is the g'th term of -17640, -17603, -17512, -17343, -17072?
4*g**3 + 3*g**2 - 17647
What is the l'th term of 3829, 6763, 11647, 18475, 27241, 37939?
-l**3 + 981*l**2 - 2*l + 2851
What is the p'th term of 3615842, 3615839, 3615836?
-3*p + 3615845
What is the t'th term of -16436615, -32873234, -49309855, -65746478?
-t**2 - 16436616*t + 2
What is the h'th term of -104795, -106160, -107527, -108896, -110267, -111640?
-h**2 - 1362*h - 103432
What is the n'th term of 10194, 20385, 30576, 40767, 50958, 61149?
10191*n + 3
What is the y'th term of 178887, 357500, 536103, 714696?
-5*y**2 + 178628*y + 264
What is the p'th term of 4758, 4766, 4762, 4740, 4694, 4618?
-p**3 + 15*p + 4744
What is the k'th term of -39766, -39468, -39064, -38548, -37914?
k**3 + 47*k**2 + 150*k - 39964
What is the b'th term of 288128, 576222, 864316, 1152410?
288094*b + 34
What is the g'th term of 54658, 54604, 54550, 54496, 54442, 54388?
-54*g + 54712
What is the z'th term of -27046, -53791, -80234, -106375, -132214, -157751?
151*z**2 - 27198*z + 1
What is the c'th term of 180707, 360395, 540085, 719777, 899471, 1079167?
c**2 + 179685*c + 1021
What is the t'th term of -5907789, -5907792, -5907795, -5907798, -5907801, -5907804?
-3*t - | {
"pile_set_name": "DM Mathematics"
} |
*u - 24 = 0. Let b be u/14 - 18/(-7). Let x be (-3)/(b + -5) + (-5)/(-1). Solve -x*s - 2 = -4*s for s.
-1
Let y(h) = h + 3. Let j be y(-2). Let w(x) = -7*x + 8. Let f be w(0). Let p be (6/3)/((-3)/((-12)/f)). Solve 2*v + j + p = 0 for v.
-1
Let u(p) = -156*p + 316*p - 156*p - 125. Let a be u(32). Solve 2*h + a - 7 = 0 for h.
2
Suppose -26*o + 276 + 764 = 0. Solve -18 = -34*v + o*v for v.
-3
Let x(y) = y**3 - 7*y**2 + 8*y - 6. Let g = -24 + 25. Let i be ((-13)/(-1) - g)/((-2)/(-1)). Let j be x(i). Solve j = 2*h + h for h.
2
Suppose -2835 - 2265 = -10*k - 50*k. Solve -k = -2*l + 19*l for l.
-5
Let b(s) = s**3 + 17*s**2 + 16*s + 18. Let t be b(-16). Let u be 9/(-6)*(0 - 60/t). Solve -7*i + u*i = 0 for i.
0
Let y be (2*10/(-4))/(12/96). Let j be ((-8)/4)/(4/y). Suppose -3*l = 7*l - j. Solve -5*i - 3 = -l*i for i.
-1
Suppose 77*w - 782 = 1143. Solve -7*n - w = -2*n for n.
-5
Let s be ((-2)/(-3))/(1/36). Suppose 2*x = -x + s. Let k = -7999 + 8003. Solve -k*r - x - 8 = 0 for r.
-4
Let n(k) = k**3 - 5*k**2 - 7*k + 9. Let r be (6/18)/(-1)*-18. Let s be n(r). Solve 11 = -s*b + 2 for b.
-3
Suppose 2*i = -2*t, 151*t = 150*t + i. Solve 3*z - 8*z - 20 = t for z.
-4
Suppose -139*k - 286*k = -425. Solve 96 = 19*b + k for b.
5
Let w be 26 + (2/(-3))/(0 - 8/(-12)). Solve 0 = -2*n - 13 + w for n.
6
Let i(k) = 5*k - 2. Suppose -f - 4 = -n, -n + 2*f = -3*f - 16. Let r be i(n). Solve r*b + 3 + 0 = 0 for b.
-1
Let h = 559 - 530. Suppose 0 = -4*m + 3*m + h. Solve -12*t + 5 - m = 0 for t.
-2
Let x = -5750 + 5806. Solve 7*m - 35*m + x = 0 for m.
2
Suppose -34*l + 103 = 545. Let y be -3*(240/(-9))/4. Let o = y + l. Solve o*h - 20 = 3*h for h.
5
Let o = 57 - 54. Suppose -g = -o*g + 96. Let k = g - 44. Solve n = -0*n - k for n.
-4
Let j = -12973 + 12979. Solve -8*k = j - 14 for k.
1
Suppose 105*c - 3003 - 12189 = -3852. Solve 0 = 5*w + c - 143 for w.
7
Let s be -1*289/(4/4). Let m = -269 - s. Solve 6*d = 10*d - m for d.
5
Let t be (-9)/(297/(-6)) + 790/11. Let y(u) = -u**3 + 3*u**2 + 6*u + 5. Let d be y(6). Let l = d + t. Solve r - l = -0 for r.
5
Suppose -15*p + 13*p + 22 = 0. Let i(d) = d**3 - 12*d**2 + 12*d - 11. Let x be i(p). Solve -3*r + 6*r - r = x for r.
0
Let k be 6 + 0/(-4 - -2 - -1). Suppose -2*w - 5 = 4*c + 7, c = -2*w + 3. Suppose -w = -5*a - 2*r, 3*r - r = -k. Solve 0 = -a*y + 2 + 4 for y.
3
Suppose 4*h - 10 = 6. Let q be (342/45)/(2 + (-36)/20). Suppose q*v - 52 - 62 = 0. Solve h*f - 13 = v for f.
4
Let m be ((-159)/(-53))/(0 - (-2)/4). Solve m*x = x for x.
0
Let x = 4698 + -4696. Solve 12*n + x = -10 for n.
-1
Let j(v) = 34*v**2 + 191*v - 21. Let h be j(-6). Solve -17*g - 11 = h for g.
-4
Let y(w) = -w**2 - 342*w + 2151. Let n be y(6). Solve 68*o - n*o + 30 = 0 for o.
-6
Let o(x) = -x - 9. Let z(l) = l**2 - 18*l + 47. Let w be z(13). Let n be o(w). Solve n*q - 4*q + 10 = 0 for q.
-2
Let d(j) = 4*j**2 + 7*j + 3. Let m(o) = -9*o**2 + 0*o + 10*o**2 - 3*o + 4*o. Let z(g) = d(g) - 6*m(g). Let q be z(-1). Solve 3*s + q*s = 0 for s.
0
Let s be -5 - 132/(-28) - 158/(-14). Let h = 42 - s. Suppose h = d - 3. Solve 4*k - 14 = -d for k.
-5
Let f be (120/8 - 13) + -2 + 3. Let z(t) be the first derivative of t**2 - 3*t - 2. Let q be z(2). Solve 0 = -f*x + q + 11 for x.
4
Suppose 3*i = -i + 16, i + 20 = -4*u. Suppose -2918*s + 2926*s + 32 = 0. Let a be (-6)/u + 9 + s. Solve -5*v + a*v + 5 = 0 for v.
-5
Suppose 0 = -9*j + 2205 + 1159 - 1024. Solve -50*t + 102*t = j for t.
5
Let g be 11 - (-13 + 3 + 7). Solve -g*y = 16*y + 30 for y.
-1
Let f(p) = -5*p - 3*p**2 + 3 - 13*p + 3*p. Let k = -2308 + 2303. Let h be f(k). Solve -h = -3*x + 2*x for x.
3
Suppose 2*s + 1 - 21 = -b, 0 = 5*s + b - 50. Solve 0 = -9*a + 14*a + s for a.
-2
Let i = 910 - 787. Suppose 36 = -29*n + i. Solve -n*u + 2*u = u for u.
0
Let k be 5*((-44)/(-55) - (-1)/(-5)). Suppose 0 = -k*z + z - f + 19, -f + 35 = 4*z. Solve -4*p + 0 = -z for p.
2
Let m(j) = 38*j - 191. Let h be m(-10). Let a = h + 577. Solve -8*f + a*f = 10 for f.
-5
Suppose 0 = 2*n - 4 - 0. Let d = -41731 + 41747. Solve -d = -n*q - 2*q for q.
4
Let y(c) = -c**3 + 22*c**2 + 2*c - 42. Let j be y(22). Suppose -j*g = p - 7, -5*g + 4*p = -10*g + 19. Solve -g*t = -8*t for t.
0
Let f = 28465 - 27583. Solve -110*s - f = -2 for s.
-8
Suppose 2751 - 138 = 203*x - 838. Solve -17*a = x - 68 for a.
3
Suppose -4*i = 4*i - 19*i. Suppose i = 3*j - u - 17, -2*u + 4*u = 2*j - 6. Solve -j*r + 9*r = -6 for r.
-3
Let k(s) = s**3 - 27*s**2 + 29*s - 74. Let g be k(26). Suppose 10 = 5*x + 10*q - 14*q, 2*x = -q + g. Solve -x*w + 12 = w for w.
4
Suppose 10 - 320 = x - 2*d, -3*x - 3*d - 948 = 0. Let t be x/(-20) - 213/(-710). Solve -t = -4*q + 4 for q.
5
Suppose -2*d + 27 = -3*s, 5*d + 0*d = -5*s + 130. Suppose 5*c + d - 1 = 0, c = p + 34. Let l = p + 38. Solve -15 = 3*b - l for b.
-5
Let s = 4 - -7. Let a be s*((-5 - 1) + 5). Let x be 5 + -1 + -5 - a. Solve -j + x = j for j.
5
Let h = -3 + 8. Suppose 7 + h = f. Suppose 2*t - 14 = -2*j, 0 = 4*j - f - 4. Solve l - t = -1 for l.
2
Let w = 608 + -584. Solve -8*m + w = -2*m for m.
4
Let p(i) = 7*i**2 - 13*i + 62. Let d be p(6). Let q = d - 233. Suppose 3*f - 2*t - 20 - 15 = 0, -f - 2*t + 9 = 0. Solve 0 = -2*w - f + q for w.
-4
Let b(o) = 3*o**2 - 4*o - 3. Let f = 34 + -35. Let s be b(f). Suppose 11*z - s*z - 21 = 0. Solve -2*x = z*x for x.
0
Suppose -772*j + 736*j + 684 = 0. Let a(t) = t**2 + 4*t + 2. Let z be a(-4). Solve -z*n - j + 11 = 0 for n.
-4
Suppose 30*f + 2197 - 3217 = 0. Solve 104 = f*i + 36 for i.
2
Suppose 5*c = 8*c + 135. Let m = c - -82. Let o = 38 - m. Solve -3*p = 2 + o for p.
-1
Suppose 7*q = 14*q - 14. Suppose -q*p - d - 3 = -3*p, -4*p = 5*d - 48. Solve 6*s = p*s + 3 for s.
-3
Suppose 78 = 2*y - y - 5*a, 5*y + a = 286. Suppose -3*o = -o - y. Let t = o + -29. Solve t = -q + 5*q - 8 for q.
2
Let u = -16394 + 16408. Solve u*m = -5*m for m.
0
Suppose -9*q + 8*q = -5*m - 217, 5*q - 182 = 4*m. Let d = -41 - m. Suppose -5*w = -d*i + 12, 5*w - 2 = -i + 4. Solve -c - i = c for c.
-3
Let v(r) = -2*r**2 - 182*r - 3426. Let j be v(-29). Solve 27*t + 19 + j = 0 for t.
-7
Suppose -8 = -4*a - 4*s, -6 = -2*s - 0. Let l = a + 10. Suppose -l*w + 10*w = 0. Solve w*r = 3*r + 6 for r.
-2
Let c(u) = -55*u + 158. Let d be c(9). Let k = -335 - d. Solve k*z = 4*z - 6 for z.
3
Let o be (485/(-970))/(2/(-836)). Solve -12*k - 149 = -o for k.
5
Suppose 4*c - 7*c + 42 = 0. Suppose 3 = 15*b - c*b. Suppose b*h - 6 = -2*p, 2*p + 2*h - 6*h = 6. Solve u = -p + 8 for u.
5
Let n = 26045 - 25935. Solve 104*u - 48 = n*u for u.
-8
Let d = -2 - -5. Let q(t) = 5*t + 10*t**2 - 9 - 2*t**2 - 11 - t**d. Let z be q(8). Solve 0 = -u - 3*u - z for u.
-5
Let x(t) = 36*t. Let p(u) = u**3 + 3*u**2 + 7*u + 44. Let f be p(-4). Let v be x(f). Solve 0 = -z - v + 1 for z.
1
Let x = -24 - 165. Let a = -183 - x. Solve 0 = -3*y + 6 + a for y.
4
Let k(x) = -x**2 + 35*x - 64. Let z be k(33). Let i(d) = -d**2 + 15*d - 24. Let r be i(z). Let y be (-3 - -1)*(-1)/1. Solve -y*g + r = 10 for g.
-4
Suppose 0*y = 3*y - 3, -z - 6*y + 78 = 0. Solve z*w = 76*w + 8 for w.
-2
Suppose 0 = -37*l + 28*l + 45. Suppose 6 = -5*d + l*c + 81, -3*d = 2*c - 35. Solve -d*z - 6 = -10*z for z.
-2
Let t = 265 - 385. Let q = t - -121. Solve -4*l + q - 5 = 0 for l.
-1
Let f be 2/(-4)*500/(-10). Suppose 3*u + 5*z + 51 = 0, -81 = u + 2*u - 5*z. Let s = f + u. Solve -4*j - s = 5 for j.
-2
Suppose 3*d - 2*d = 3*b + 22, -5*b = 10. Solve -p = -d*p + 60 for p.
4
Suppose 3*u - 5*m + 630 = 0, 0 = -5*m + 4*m - 3. Let h = u + 226. Solve -13*w + h*w = -10 for w.
5
Let h be (-4)/20*-74 + (-1)/(-5). Suppose -71*m + h = -66*m. Solve -14 = -m*v + 1 for v.
5
Let o be 10/3 - 6/(-9). Suppose -3*b = 17 - 44. Let a be (b/(-2))/((-26)/52). Solve 0 = l + a - o for l.
-5
Let a(w) = -10*w - 8. Let r be a(-6). Let d = 57 - r. Suppose d*o + h - 33 = 0, 2*h + 6 = 2*o - 0. Solve o - 21 = 5*q for q.
-3
Let f = -47 + 47. Let p = 22 + f. Let x = 27 - p. Solve -9 - 1 = x*w for w.
-2
Suppose -4*y = -v - y + 334, -v - 3*y = -310. Let i = v - 318. Solve 8*m + 8 = i*m for m.
-2
Let j(m) = m**3 + 3*m**2 - 2*m + 4. Let x be j(-3). Suppose 8*l = 13*l - x. Suppose 0 = 5*p - 5*o - 10, -p + 4*o = 6*o - 14. Solve -p*d = -l*d for d.
0
Suppose -69*t + 157*t - 74*t - 2716 = 0. Solve 198*h - t*h = 0 for h.
0
Suppose 0 = -5195*z + 5077*z + | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (-2*(-2 + sqrt(448) + 5 + 1))**2.
256*sqrt(7) + 1856
Simplify -1*(sqrt(18) + 1 + -1 + sqrt(1296)/sqrt(2)).
-21*sqrt(2)
Simplify (-5*(sqrt(49) + sqrt(4900) - sqrt(49) - sqrt(49)))/((sqrt(245)/sqrt(7))/sqrt(5)).
-45*sqrt(7)
Simplify 0 + (1 + sqrt(1100))**2*5 + (5 + -2*sqrt(1100) + (sqrt(1100) - (1 + 2*sqrt(1100))))**2.
-140*sqrt(11) + 15421
Simplify (1*(sqrt(600) - 1*sqrt(600))*-2)/(4*(sqrt(132)*2)/sqrt(11)).
0
Simplify -3 + (sqrt(684) + -2 + -5 - (3 + sqrt(684) + sqrt(684) + 2))**2.
144*sqrt(19) + 825
Simplify ((2 + sqrt(1700) + 2 - 3*-4*sqrt(1700))*3)**2.
9360*sqrt(17) + 2585844
Simplify ((sqrt(8)*2*-1 - sqrt(8)/sqrt(64)*1) + -4)**2.
34*sqrt(2) + 417/8
Simplify ((3*-1*sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228) - ((sqrt(228) - 6*(sqrt(228) + sqrt(228)*-2)) + sqrt(228)))/(1*sqrt(12)*3*6).
-2*sqrt(19)/3
Simplify (sqrt(18) - 2*sqrt(108)/sqrt(6))/(sqrt(294)*2).
-sqrt(3)/14
Simplify ((-2*sqrt(152) + sqrt(152))*-6 + sqrt(152) - sqrt(152)*-1*3)/(sqrt(96)/(sqrt(48)*5)).
100*sqrt(19)
Simplify 3*((1 + sqrt(500))*4 - sqrt(500) - sqrt(500) - (sqrt(500) + (sqrt(500)*-1)**2 + 1))*-2.
-60*sqrt(5) + 2982
Simplify (2*(sqrt(2299)*-1 + sqrt(2299)) - (sqrt(2299) + 0 + sqrt(2299) + sqrt(2299))*-6 - (-4*2*sqrt(2299) - (2*sqrt(2299) + -5)))**2 + -3.
-3080*sqrt(19) + 1802438
Simplify ((1 + sqrt(1088) + -5 - 3*-4*sqrt(1088))*1)**2.
-832*sqrt(17) + 183888
Simplify ((sqrt(2) - (-3 + sqrt(2)*3)) + sqrt(2) + 5)**2 - (-3*sqrt(2)*1 + sqrt(2) + (1 + sqrt(2))**2*3).
-20*sqrt(2) + 57
Simplify -4 + -5 + ((-2 + sqrt(68))**2 + -3 - sqrt(68)) + 4 + 3.
-10*sqrt(17) + 67
Simplify (-3*(1*sqrt(3993) - sqrt(3993)))/((sqrt(192) - (-3*sqrt(192)*-1 - sqrt(192)) - sqrt(192)) + sqrt(192)).
0
Simplify (-5*((sqrt(96) + 1*sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96)) + sqrt(96) + (sqrt(96) - -1*sqrt(96))*-1)/(4*(6*1*sqrt(12) - sqrt(12))).
-8*sqrt(2)/5
Simplify -2*(sqrt(1900) + sqrt(1900) + 1 + 5 + 5*(sqrt(1900)*-3 - sqrt(1900)))**2.
-1231272 + 4320*sqrt(19)
Simplify ((sqrt(1764) - (sqrt(1764)*3 + sqrt(1764)))*-2)/(sqrt(21)/sqrt(3)*-5 + sqrt(63)*1).
-18*sqrt(7)
Simplify (-1*(2 + (3*(-1*sqrt(187) - sqrt(187)))/(sqrt(396) + 2*sqrt(396) + sqrt(396))))**2.
-sqrt(17) + 81/16
Simplify 0 + -1*(0 + -3 + sqrt(3)) + -1.
-sqrt(3) + 2
Simplify -3 + 1*(-4 + (sqrt(1216) - 6*(sqrt(1216) + 1)))**2 + -5.
800*sqrt(19) + 30492
Simplify (-3*sqrt(18)*1 + sqrt(450) + (sqrt(450)*-1 + sqrt(450) - sqrt(450)))/(sqrt(18)/sqrt(3)*-2 + sqrt(18)/(sqrt(15)/sqrt(5))).
3*sqrt(3)
Simplify (2 + (sqrt(99) + -2 - 3*sqrt(704)) + -5)**2.
210*sqrt(11) + 4876
Simplify ((sqrt(272) + -3)*4)**2 - (sqrt(187)/sqrt(44) + sqrt(136)/(sqrt(8) - sqrt(8)*-1))**2.
-384*sqrt(17) + 4479
Simplify 0 + (1 + 1 + (sqrt(891)*1 - (sqrt(176) - sqrt(176)*-1)) + 0)**2.
4*sqrt(11) + 15
Simplify (-4 + 2 + sqrt(684) - 1*(sqrt(171) - (sqrt(171) + sqrt(171) + (3 + sqrt(171) - sqrt(171)))))**2.
18*sqrt(19) + 1540
Simplify 2*(sqrt(34)/(sqrt(8)/sqrt(4)))**2 - sqrt(187)/(sqrt(11) - (sqrt(11) + sqrt(22)/sqrt(2))*-1).
-sqrt(17)/3 + 34
Simplify (2*sqrt(96)/sqrt(4) + (sqrt(24) - (-2*sqrt(240))/sqrt(10)))/((sqrt(96) - -2*sqrt(96))/sqrt(8) + ((sqrt(144)*1)/sqrt(12) - sqrt(12))).
5*sqrt(2)/3
Simplify (-4 + (sqrt(1331)*6 + -1 - (sqrt(1331) + 0 + -5 - sqrt(1331))))**2.
47916
Simplify ((sqrt(432) + -2 + sqrt(432) + -5)**2 - sqrt(432) - (sqrt(432) + 0 + 1)) + -4.
-360*sqrt(3) + 1772
Simplify ((5*-2*sqrt(196) - sqrt(196)) + sqrt(196) - sqrt(196))/((sqrt(16) + sqrt(144)*2)/sqrt(8)).
-11*sqrt(2)
Simplify -1*sqrt(52) + 2 - -6*(sqrt(52) - sqrt(4212)).
-98*sqrt(13) + 2
Simplify 6*(-2 + sqrt(180)) - sqrt(180) - (sqrt(180) + -5 + -4 - sqrt(180))**2.
-93 + 30*sqrt(5)
Simplify ((sqrt(931) + 5 + sqrt(931) + 1)*-4)**2 - -6*(sqrt(1539) + 1*sqrt(1539) - (-3*(sqrt(19) + 0 + sqrt(19)))**2).
2796*sqrt(19) + 56056
Simplify (4*-4*(5 + sqrt(272)*3 + 1 + sqrt(272) + -2))**2.
32768*sqrt(17) + 1118208
Simplify (sqrt(3200) + -1*sqrt(3200))**2*-4 - ((sqrt(10)/sqrt(5)*6)**2 - -6*(sqrt(6)/sqrt(3))**2).
-84
Simplify -3*(sqrt(28)/sqrt(4)*-4 + (sqrt(56) + sqrt(56) + sqrt(56)*-2)/sqrt(8) - ((sqrt(7) - 2*sqrt(7)*-2) + (sqrt(21)*1)/sqrt(3))).
30*sqrt(7)
Simplify 3 + 1 + ((sqrt(396) + 0 + sqrt(396))**2 - sqrt(11)) + (sqrt(704) - (0 + sqrt(704) + -5))**2.
-sqrt(11) + 1613
Simplify -2*(0 + sqrt(175) + -2 + -2).
-10*sqrt(7) + 8
Simplify -1 + -4*((sqrt(22) + (sqrt(22) - 1*sqrt(66)/sqrt(3)))/(sqrt(2) + 2*sqrt(98) - sqrt(2)))**2.
-60/49
Simplify (4*sqrt(162)*-2 - (sqrt(162) + 1)*5)*5.
-585*sqrt(2) - 25
Simplify -2*((-4 + sqrt(180) + 2*-2*sqrt(180))*-5)**2.
-81800 - 7200*sqrt(5)
Simplify -2 + ((3 + (-2*(sqrt(17) + 1) - sqrt(17)))**2 - -6*(sqrt(425) + -1)**2).
-66*sqrt(17) + 2708
Simplify (1*(sqrt(85) + (sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*-1))))*-3)/(sqrt(40)/((sqrt(72)*1)/sqrt(9))).
3*sqrt(17)
Simplify (0 + -3*(-1 + sqrt(567)) + (sqrt(567) + 0)*-2)*-1.
-3 + 45*sqrt(7)
Simplify (4*1*sqrt(70))/((-1*sqrt(90))/sqrt(9)).
-4*sqrt(7)
Simplify (-1 + (-2 + sqrt(612)*-1 - 4*sqrt(612)*2))**2.
324*sqrt(17) + 49581
Simplify (sqrt(833) - (sqrt(833)*2*-4 + sqrt(833)))**2 + 2 + 2 + (sqrt(833) - ((sqrt(833) - (sqrt(833) - (-2*sqrt(833) + sqrt(833)))) + sqrt(833))**2*2).
7*sqrt(17) + 53316
Simplify 2 + (sqrt(44))**2 - (sqrt(176) + -1) - 3*(sqrt(275) - (sqrt(275) + -5)).
-4*sqrt(11) + 32
Simplify (sqrt(1088)*-2)**2 + 1 - (((sqrt(51)/sqrt(3))**2 + sqrt(17))*-4 + ((sqrt(136)*2 + sqrt(136))/sqrt(8))**2).
4*sqrt(17) + 4268
Simplify -5*(-4*((sqrt(343) - (1 + sqrt(343)))*2 + (2*sqrt(343)*1 - sqrt(343))))**2.
-27760 + 2240*sqrt(7)
Simplify (((sqrt(847) + 3)*-6 - 1*(sqrt(847)*-4 - sqrt(847)))*-6)**2.
14256*sqrt(7) + 42156
Simplify (sqrt(68) + 1)**2 + 3 - (sqrt(68) + (sqrt(68) - -5*(sqrt(68)*-6 - sqrt(68)) - sqrt(68)))**2.
-78536 + 4*sqrt(17)
Simplify (-1*(sqrt(1078) - sqrt(22)) - sqrt(22))/((sqrt(12)/sqrt(2))/sqrt(3))*-1.
7*sqrt(11)
Simplify sqrt(325)*-1 - sqrt(468)*2 - (-3 + -6*(sqrt(52)*4)**2).
-17*sqrt(13) + 4995
Simplify (-4*1*sqrt(68) + sqrt(68) + 1*sqrt(68)*-2)/(-5*-1*((sqrt(4) - sqrt(8)/sqrt(2)) + sqrt(4))).
-sqrt(17)
Simplify -5*4*(sqrt(300) + 1)**2 + -3*(1*sqrt(300) + sqrt(300))*-1.
-6020 - 340*sqrt(3)
Simplify (-6*(sqrt(28) + sqrt(252)*2))/((sqrt(240)/(-5*sqrt(5)) + sqrt(48))/sqrt(12)).
-105*sqrt(7)/2
Simplify (2 + (-5 + (sqrt(147) - ((sqrt(147) - (sqrt(147) + sqrt(147)*-1)*-6) + sqrt(147))))*-4)**2.
1232*sqrt(3) + 2836
Simplify ((2 + -2*(sqrt(704) - (3 + -1 + sqrt(704))))*-5)**2.
900
Simplify (-3*sqrt(72)/sqrt(4))/((sqrt(108) - (sqrt(108) + sqrt(108)*3 + sqrt(108)))/sqrt(12))*-5.
-15*sqrt(2)/4
Simplify -2 + (-1 + 1 + 2 + sqrt(612) + 4)**2*-2.
-1298 - 144*sqrt(17)
Simplify (2*(sqrt(209) + (sqrt(209)*1 - sqrt(209))) - sqrt(209))/(2*sqrt(176)) - -6*(-5 + -3 + sqrt(171)).
-48 + 145*sqrt(19)/8
Simplify 1 + (-4*sqrt(11) - sqrt(11)) + 5 + -1*sqrt(11) + -2 + 0.
-6*sqrt(11) + 4
Simplify (6*(sqrt(4)/sqrt(2) + 2) + -1 + 1)**2.
144*sqrt(2) + 216
Simplify (5*(2*sqrt(1215))/(-3*sqrt(3)*-2))**2.
1125
Simplify (-4*(sqrt(99) + 2*sqrt(99) - sqrt(99)))/sqrt(9) - (1 + sqrt(11) + 0 - ((sqrt(77)*2)/sqrt(7))**2).
-9*sqrt(11) + 43
Simplify (3*-5*(sqrt(12) + 0))**2 + -3 + -4.
2693
Simplify ((-1*sqrt(2052) - sqrt(2052)) + (-2*sqrt(57) + sqrt(57))*-1)/((sqrt(1728) - sqrt(3))*5).
-11*sqrt(19)/115
Simplify 1*(5*(-2*sqrt(133) + sqrt(133)))/(sqrt(63)*3)*-1.
5*sqrt(19)/9
Simplify sqrt(95)/(sqrt(20)/sqrt(4)) + 5 - ((sqrt(171) - ((sqrt(171)*1 - sqrt(171))*5 + sqrt(171))) + sqrt(171))/sqrt(9).
5
Simplify 0 + (sqrt(7) + -2 + 3 - -1*(sqrt(7) + 5)).
2*sqrt(7) + 6
Simplify (1 + 4*5*-2*sqrt(325) + 3)**2.
-1600*sqrt(13) + 520016
Simplify (sqrt(405) + 5 + sqrt(405)*5 - (sqrt(405) - (sqrt(405) + -3 + 1)))**2.
324*sqrt(5) + 14589
Simplify ((1 + sqrt(468) + (2 + sqrt(468))*-6)*2 + 4)**2.
2160*sqrt(13) + 47124
Simplify -2 + (0 + 3*(-2*sqrt(5))**2 - -5*(sqrt(500) + -3)).
43 + 50*sqrt(5)
Simplify (-3*-2*sqrt(44)*4)/(2*sqrt(144)*5).
2*sqrt(11)/5
Simplify (((sqrt(165) + 5*sqrt(165))/sqrt(5))/(sqrt(432) - (sqrt(432) - 4*sqrt(432) - sqrt(432))))**2.
11/100
Simplify (-2*4*(3 + (sqrt(2448) + -3 - sqrt(2448))))**2 + -3.
-3
Simplify ((sqrt(153) + 2 + sqrt(153))*-1 - sqrt(153))**2 - (sqrt(68) - (3 + (sqrt(68) + 1 + sqrt(68) - sqrt(68))))**2.
36*sqrt(17) + 1365
Simplify 4*(1 + sqrt(171)) + 0 + 2.
6 + 12*sqrt(19)
Simplify ((4*sqrt(52)*-2 + sqrt(52) + sqrt(832) + sqr | {
"pile_set_name": "DM Mathematics"
} |
ppose 21 = u + 1. Suppose 5*v - 37 = -3*t, -6*t + 2*t - 36 = -4*v. What is the greatest common divisor of v and u?
4
Suppose 74 + 13 = 5*s + 4*n, -4*s + 82 = -3*n. Calculate the greatest common divisor of 95 and s.
19
Let r(f) = f**2 + f + 3. Let u be r(-7). What is the highest common factor of 15 and u?
15
Let s(k) = 6*k - 15. Let m be s(3). Calculate the greatest common divisor of m and 3.
3
Let k be 50 - -1 - 0/7. Suppose -3*z + 9 = -k. Calculate the highest common factor of z and 80.
20
Let r(s) = s**3 - 5*s**2 + 7*s - 5. Let c be r(4). Let l = -3 + 5. Suppose -l*u + 115 = 3. What is the greatest common factor of u and c?
7
Let y(f) = -f**2 + 5*f. Let a be y(5). Suppose a*g = 3*g - 36. Suppose -3*w - 120 = -8*w. Calculate the greatest common factor of w and g.
12
Let k(z) = -z + 1. Let w be k(-4). Suppose 2*a - 2 = 0, 48 - 15 = w*f + 3*a. Let c be f*-4*6/(-4). What is the greatest common factor of 6 and c?
6
Suppose r + 2*b - 291 = 0, 5*b + 327 = r + 15. What is the highest common factor of r and 27?
27
Let g(z) = -7*z. Let l be g(-1). Let m = l - -10. What is the greatest common factor of m and 170?
17
Let u = 425 + 15. What is the highest common factor of u and 40?
40
Let j(y) = -y + 1. Let s be j(-4). Suppose 0 = s*g - 4*l - 49, -23 = -3*g - 4*l. What is the highest common divisor of 72 and g?
9
Let y(f) = f**2 + 6*f + 13. Let v be y(-6). Calculate the highest common divisor of v and 117.
13
Let q be (387 - 14/7) + (1 - -1). What is the greatest common factor of 43 and q?
43
Let c = 132 - -57. Calculate the highest common factor of c and 21.
21
Let j be (-4)/(-2) - (-9 + 6). Suppose -146 = -j*d - 2*q, -5*d - 3*q + 152 = -4*q. What is the highest common divisor of 10 and d?
10
Let c be 4 + 3*4/6. Suppose 3*i = -c + 30. Suppose -5*a + i = 3*l, 3*a - 5*a = 5*l - 26. Calculate the greatest common factor of 3 and l.
3
Let k(f) = -6*f - 11. Let c be k(-4). Let i be ((-4)/(-6))/(6/(-9)). Let y be 1/(i/(-2)) - -102. Calculate the greatest common factor of y and c.
13
Let d = 19 - -5. Let s(l) = 22*l + 66. Let c be s(9). What is the greatest common divisor of c and d?
24
Let n(f) = 36*f**2. Let o be n(1). Calculate the highest common factor of 12 and o.
12
Suppose 3*z + 1 = 7. Calculate the highest common divisor of z and 16.
2
Let r be 4190/105 - 4/(-42). What is the highest common factor of r and 8?
8
Let n = -90 - -118. What is the highest common factor of 7 and n?
7
Suppose -3*h = -2*q + 47, -2*q = q - 3*h - 63. Calculate the highest common divisor of q and 16.
16
Let d(t) = -t**3 + 15*t**2 - 3*t + 22. Let n be d(14). What is the greatest common divisor of 16 and n?
16
Let f = 2 - -78. Suppose 29 - 11 = n - 4*h, -3*h + 24 = 3*n. What is the greatest common divisor of f and n?
10
Let r(h) = -h**3 - 4*h**2 + 3. Let w be r(-3). Let g be w*(168/(-9))/4. What is the greatest common divisor of g and 70?
14
Suppose 0 = -2*u - 6. Let r be 53/3 - 1/u. Calculate the highest common factor of 12 and r.
6
Let s(f) = 4*f**2 + f + 2. Let n be s(2). Suppose -36 = -5*c - 4*b, 0 = -2*c - 5*b + 2*b + 20. Calculate the greatest common factor of n and c.
4
Let a = -13 + 15. Suppose -5*k - 3*q + 120 = a*q, 0 = -q + 4. Calculate the highest common divisor of k and 40.
20
Suppose m = 3*m - 28. Calculate the highest common divisor of m and 70.
14
Let o = 172 + -115. Let b = o + -41. What is the greatest common divisor of 16 and b?
16
Suppose 12 = 3*p, -4*p - 13 = -k - 5*p. Suppose 1 = -5*c - k. Let z(t) = -t**3 + t**2 + t. Let n be z(c). Calculate the highest common divisor of 70 and n.
10
Let j(n) = 5*n - 7. Let g be j(3). Suppose 0*v = 4*v - g, -4*b + 2*v + 152 = 0. Calculate the greatest common factor of b and 13.
13
Let q(r) = r**2 + 2*r - 7. Let l be q(-5). Suppose 3*u = -5*d - 86, u = 2*u + 2. Let j be d/(-56) - (-444)/14. What is the greatest common factor of j and l?
8
Let o be 12/(-20) + 138/5. Let j = -8 + o. What is the highest common divisor of j and 95?
19
Suppose 3*p - 11 = -3*m + 4*m, -p + 17 = -3*m. Suppose b = -p*g + 43, -4*g + 0*b + b = -71. Calculate the greatest common divisor of g and 209.
19
Let n be (-2)/(-5) - (-4)/(-10). Suppose -2*r + 7*r - 80 = n. What is the greatest common factor of r and 4?
4
Suppose 4*p - 5*p + 12 = 0. Suppose 2*d - p = 3*d. Let n = d + 18. Calculate the greatest common factor of 12 and n.
6
Suppose 2*x - 217 = 6*x - s, -5*x - 271 = -s. Let r be (-8)/(-28) - x/7. Suppose -56 = -r*t + 4*t. What is the greatest common divisor of 154 and t?
14
Let q be (-12)/(-16) + 196/16. Calculate the highest common factor of 13 and q.
13
Let o be 4/24*4*15. Suppose 4*f - 350 = 2*u, 0 = f - 2*u + u - 85. What is the highest common factor of f and o?
10
Let h be (-7 + 2)/(5/(-215)). Let g = -127 + h. Calculate the highest common divisor of 11 and g.
11
Suppose 5*j = -2*s + 17, -j + 2*s - 12 = -5*j. Suppose 0 = j*g - n - 32, -23 = -5*n - 8. What is the highest common divisor of 7 and g?
7
Suppose 2*u + 30 = 10. Let d = u + 6. Let y = 16 - d. What is the highest common divisor of 30 and y?
10
Let a(h) = 3*h + 1. Let x be a(-1). Let v be 0 - x - 25 - 1. Let b = 36 + v. What is the greatest common factor of b and 3?
3
Let p(v) = -153*v**3 + v**2 + v. Let q be p(-1). What is the greatest common factor of q and 17?
17
Suppose -5*k + 14 = -3*z - 0*z, 5*z = -2*k - 13. What is the greatest common divisor of k and 8?
1
Let f(q) be the second derivative of q**4/12 + 2*q. Let x be f(-2). Suppose 2*g - x = g. What is the greatest common factor of 4 and g?
4
Let l = 277 + -134. Let q = -1 + 6. Suppose 12 = -q*v + 77. What is the highest common divisor of v and l?
13
Let g(r) = -r**3 - 10*r**2 - 10*r - 1. Let t be g(-9). What is the highest common divisor of t and 20?
4
Let g(a) be the second derivative of -3*a + 0 + 5/2*a**2 - 11/3*a**3. Let y be g(-10). What is the greatest common divisor of y and 25?
25
Suppose 0 = 5*l + 2*r - r - 235, -2*r = l - 38. Let i = 22 + l. Calculate the highest common divisor of 28 and i.
14
Suppose -20 = -10*x + 5*x. Suppose -z = -x - 0. What is the highest common divisor of z and 28?
4
Let o(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Let t be o(-9). Let x = 17 + -1. Calculate the greatest common divisor of t and x.
8
Let n(i) = -4*i. Let z be n(-1). Let x(k) = -z*k + 5 + 0*k - 4*k**2 + 0*k**2 + k**3 - 3. Let f be x(5). What is the greatest common divisor of 28 and f?
7
Let r(y) = 2*y**2 - 5*y. Let h be r(8). Calculate the highest common divisor of 132 and h.
44
Let v be (-3)/(-12) - 1/4. Let r be (v + -10)/((-8)/12). Suppose 0 = -6*p + 2*p + 600. What is the highest common divisor of p and r?
15
Let o(u) = 3*u**2 + 6*u + 6. Let d be o(-2). What is the highest common factor of 3 and d?
3
Let a(h) = h**2 + 11*h - 1. Let w be a(10). What is the greatest common factor of w and 19?
19
Let c be -2*(-3)/6*2. Let g be (5 + (0 - 0))/1. Suppose -3*d - 45 = -g*x, -4*d + 28 - 10 = c*x. What is the greatest common factor of 72 and x?
9
Let h be 282/5 - 4/10. Suppose 4*k - 2 - 6 = 0. Let x be -1 - -1 - (-9 + k). Calculate the highest common divisor of h and x.
7
Suppose -b + 4*b = 12, 3*b + 43 = 5*k. Let p(m) = -m**2 - 17*m + 5. Let f be p(-9). What is the greatest common factor of k and f?
11
Let i(g) = -7*g - 28. Let k be i(-13). Calculate the greatest common divisor of k and 7.
7
Let h(w) = 14*w**2 + 13*w + 17. Let v(j) = 5*j**2 + 4*j + 6. Let o(y) = 6*h(y) - 17*v(y). Let u be o(7). Calculate the highest common factor of 147 and u.
21
Let s = 1 - 1. Suppose 2*a - 5*p = 21, s = a + 2*a - 5*p - 39. Suppose -2*k = 4*y - 86, -5*y - 6 + 1 = 0. Calculate the highest common factor of a and k.
9
Let m(g) = 4*g - 26. Let t be m(13). What is the highest common divisor of t and 117?
13
Suppose -5*k + 623 + 257 = 0. Calculate the highest common factor of 22 and k.
22
Suppose 3*h = 5*l + 315, h - l = -0*l + 105. Let i = h + 0. Suppose 5*k = -g + i, -k - 5*g = 5 - 50. Calculate the greatest common factor of k and 2.
2
Let r(d) = d**3 - 20*d**2 - 15*d - 42. Let h be r(21). Calculate the greatest common factor of h and 56.
28
Suppose -5*x + 72 + 33 = 0. Suppose 0*f + x = a - 2*f, 3*a + 3*f = 45. What is the highest common divisor of a and 51?
17
Suppose -2*m + 8*m - 462 = 0. Calculate the highest common factor of 11 and m.
11
| {
"pile_set_name": "DM Mathematics"
} |
**2 + 4*j - 35. Let x(m) = -m**2 - 2*m. Let t(h) = -v(h) + 4*x(h). Determine z so that t(z) = 0.
5, 7
Let f(i) = -4*i**3 + 6*i**2 + 134*i + 258. Let v(k) = 20*k**3 - 31*k**2 - 671*k - 1293. Let r(g) = -11*f(g) - 2*v(g). Suppose r(n) = 0. What is n?
-3, 7
Let n(d) = 6*d**2. Let q be 6/(-18)*-3 - (-2)/1. Let w(h) = -11*h**2 + 1. Let m(a) = q*w(a) + 5*n(a). Factor m(i).
-3*(i - 1)*(i + 1)
Let y(j) be the second derivative of -j**6/15 + 2*j**5/5 + 7*j**4/6 - 34*j**3/3 + 24*j**2 - 64*j + 2. Let y(n) = 0. Calculate n.
-3, 1, 2, 4
Suppose t + 0 = 6. Suppose 6 + t = 3*y. Factor 6*o**3 - 6*o**3 - 3*o**2 + 2*o**3 + o**y.
o**2*(o - 1)*(o + 3)
Let t(a) be the third derivative of -1/5*a**5 + 1/120*a**6 + 2*a**4 - a**2 + 0*a + 4/3*a**3 + 0. Let q(k) be the first derivative of t(k). Factor q(f).
3*(f - 4)**2
Let h(f) = f + 12. Let b be h(-10). Suppose 4*w + 8 = 0, -2*z - 2*w = -4 + b. Factor 3*i - 2*i**z + 4*i**3 + 6*i**2 + i.
2*i*(i + 1)*(i + 2)
Let p(d) be the second derivative of -d**5/40 - d**4/12 - 30*d. Factor p(x).
-x**2*(x + 2)/2
Let h(p) = -p**2 + 7*p + 1. Let f be h(13). Let d = f - -157/2. Factor 3/4*t**3 - 9/4*t + d + 0*t**2.
3*(t - 1)**2*(t + 2)/4
Let z(t) be the first derivative of t**6/2 - 9*t**5/5 + 3*t**4/2 + 122. Suppose z(k) = 0. Calculate k.
0, 1, 2
Factor 3/7*l**2 + 0 - 2/7*l + 2/7*l**3.
l*(l + 2)*(2*l - 1)/7
Let j(s) be the third derivative of 0 + 0*s + 1/15*s**5 + 12*s**2 + 0*s**3 - 1/35*s**7 + 1/12*s**6 + 0*s**4. Solve j(v) = 0.
-1/3, 0, 2
Find u, given that 8/5 - 4/5*u**3 - 2/5*u**4 + 16/5*u + 6/5*u**2 = 0.
-2, -1, 2
Let s(j) be the first derivative of j**4/32 - 41*j**3/24 + 55*j**2/2 - 50*j - 71. What is v in s(v) = 0?
1, 20
Let p(d) be the second derivative of -5*d**8/1344 - d**7/84 - d**6/96 - 9*d**2/2 + 11*d. Let n(r) be the first derivative of p(r). Factor n(k).
-5*k**3*(k + 1)**2/4
Let j = -19 + 21. Let y be (j - -3) + 3 + -4. Determine s so that -82/7*s**2 + 50/7*s**5 - 48/7*s + 90/7*s**y - 8/7 - 2/7*s**3 = 0.
-1, -2/5, 1
Suppose 201 = 4*z + 57. Factor -235*w**4 - 15*w + 230*w**4 - 5*w**3 + z*w**2 - 11*w**2.
-5*w*(w - 1)**2*(w + 3)
Suppose -5*n = -10*n + 30. Find y such that 59*y**2 - 38*y**2 + 8*y**3 - n*y + 4*y**3 = 0.
-2, 0, 1/4
Let q(n) be the third derivative of 5*n**8/336 - 3*n**7/14 + 9*n**6/8 - 9*n**5/4 + 37*n**2. Factor q(u).
5*u**2*(u - 3)**3
Let w(h) be the second derivative of -h**8/2240 - h**7/840 + h**6/15 - h**5/2 - 5*h**4/6 + h**2 + h - 19. Let z(j) be the third derivative of w(j). Factor z(q).
-3*(q - 2)**2*(q + 5)
Let w(u) = 3*u**2. Let m(z) = 10*z**2 - 4*z. Let v(k) = m(k) - 3*w(k). Factor v(d).
d*(d - 4)
Let z be ((-3)/(-1))/((-59)/(-14) + -4). Suppose -z*x + 14 = -14. Factor 2/7*b**x + 0*b + 2/7*b**3 + 0.
2*b**2*(b + 1)/7
Let m(n) = -12*n**2 - 8*n - 2. Let r(j) = 1. Let b(i) = m(i) + 2*r(i). Factor b(a).
-4*a*(3*a + 2)
Suppose 3*f**3 - 48*f**2 + 7480*f - 7480*f = 0. Calculate f.
0, 16
Let x = 111 + -67. Let 48*w + x*w**2 + 16 + 6*w**3 + 2*w**3 + 4*w**3 = 0. Calculate w.
-2, -1, -2/3
Let w be (-15)/(-10)*16/(-6). Let a = -1 - w. What is p in 13*p**3 + p**a + 37*p - 18*p**2 - 33*p = 0?
0, 2/7, 1
Let l(a) be the first derivative of a**6/2 - 3*a**5/5 - 3*a**4 + 4*a**3 + 185. Find o such that l(o) = 0.
-2, 0, 1, 2
Suppose -3*w - 1 = -h + 2*w, 5*w - 20 = 0. Let g be (-1 + -2)*(-14)/h. Determine v so that -10*v + 5 + 0*v**2 + 3*v**2 + g*v**2 + 0*v**2 = 0.
1
Let y(v) be the second derivative of 0*v**3 + 1/7*v**4 + 1/35*v**5 + 0*v**2 + 0 + 11*v. Determine k so that y(k) = 0.
-3, 0
Suppose -146 + 160 = 5*z - f, -f + 1 = 0. Find a, given that 12/13*a**2 - 8/13*a + 2/13*a**4 - 16/13 + 10/13*a**z = 0.
-2, 1
Suppose 0*y + 2*y - j = 10, 0 = 2*y - 4*j - 16. Suppose 4*h**3 + 0*h**4 - 5*h**y - 3*h**4 + 4*h**5 = 0. Calculate h.
0, 1
Let t(r) = 8*r - 52. Let b be t(7). Let 35*o**b + 3*o**2 - 40*o**4 + 2*o**2 + 0*o**2 = 0. What is o?
-1, 0, 1
Suppose 4*z = -5*z + 162. Determine m, given that -10 + 32 - z - 12*m + 3*m**2 - 19 = 0.
-1, 5
Let j(c) be the third derivative of -c**5/180 + 89*c**4/36 - 7921*c**3/18 + 330*c**2. Factor j(h).
-(h - 89)**2/3
Let q(w) = w**3 - 2*w**2 + 6*w + 4. Let u be q(0). Find l such that -6*l**5 + 16*l**2 + 2*l**3 - 8 - 4*l - 18*l**4 + 10*l**u + 2*l**5 + 6*l**3 = 0.
-2, -1, 1
Let x = -474 - -1436/3. What is m in 0 + x*m**2 + 2/3*m**4 - 10/3*m**3 - 2*m = 0?
0, 1, 3
Factor 58*l**2 - 33*l**4 + 5*l**2 + 8*l**3 + 4*l**3 + 30*l**4.
-3*l**2*(l - 7)*(l + 3)
Suppose 19 = 5*b - 16. Let d = b + -47/7. Let 0 + 0*l - d*l**2 = 0. Calculate l.
0
Let w(p) = -p**2 + 18*p - 6. Let i be w(18). Let g be i/(-12)*(4 + 0). Factor -6/5*a**g - 2/5*a**3 + 2/5*a + 2/5*a**4 + 4/5.
2*(a - 2)*(a - 1)*(a + 1)**2/5
Factor 8/5*o**4 - 4/5*o**5 - 16/5*o**2 + 0 + 12/5*o**3 - 16/5*o.
-4*o*(o - 2)**2*(o + 1)**2/5
Let y = 1557 - 1554. Let u(x) be the second derivative of -6*x + 1/4*x**2 + 0 + 1/8*x**y + 1/48*x**4. Factor u(p).
(p + 1)*(p + 2)/4
Let w be 2/11 + 500/275. What is m in 2/13*m**w - 4/13*m + 0 + 6/13*m**3 = 0?
-1, 0, 2/3
Let z be (-2)/3*6/(-14). Let a = -275 - -275. Let -z*u + a + 2/7*u**2 = 0. Calculate u.
0, 1
Let k be (-2)/2*1*0. Suppose k = -3*w + 12 + 3. Let -4*f - 5*f**2 + 3*f**2 + w*f**2 - 2 - 5*f**2 = 0. Calculate f.
-1
Let p(r) be the second derivative of -5*r**7/14 + 25*r**6/6 + 13*r**5 - 25*r**4/3 - 78*r. Solve p(t) = 0.
-2, 0, 1/3, 10
Let z(y) be the first derivative of -3*y - 9*y**3 - 9/2*y**2 - 15/4*y**4 - 6. Let k(u) = u**3 + u**2 + u. Let n(p) = 18*k(p) + z(p). Factor n(c).
3*(c - 1)**3
Let d(g) be the first derivative of -g**3/6 + g**2/4 + g - 177. Factor d(j).
-(j - 2)*(j + 1)/2
Suppose 3*s = -3*c + 8*c + 9, 0 = -5*s - 2*c + 15. Factor -340*w**4 + 349*w**4 - 7*w**2 - s*w**5 - 5*w**2.
-3*w**2*(w - 2)**2*(w + 1)
Suppose 1132*b**3 - 81*b + 99*b**2 + b**4 + 1121*b**3 - 2272*b**3 = 0. Calculate b.
0, 1, 9
Find v such that 370 - 15*v**3 + 24*v**3 - 11*v**3 - 792*v - 76*v**2 - 999 - 667 = 0.
-18, -2
Let s(u) = -u**2 + 13*u - 42. Let o be s(9). Let y be (18/(-81))/(2/o). Factor -1/2*f - y + 1/6*f**2.
(f - 4)*(f + 1)/6
Let j(m) be the third derivative of -m**5/20 + 61*m**4/8 - 30*m**3 - 45*m**2 + m. Factor j(n).
-3*(n - 60)*(n - 1)
Suppose 1 - 3/2*a + 1/2*a**2 = 0. What is a?
1, 2
Let k = 103 - 195. Let b be 4/(-14) + k/(-28). Determine w so that b + 2*w + 5*w + 0*w - w + 3*w**2 = 0.
-1
Let q = -187 - -187. Let p(b) be the second derivative of 1/10*b**5 + 0*b**2 - 1/6*b**4 + 1/15*b**6 + 2*b + q - 1/3*b**3. Let p(k) = 0. Calculate k.
-1, 0, 1
Let s(i) be the second derivative of -1/120*i**6 - 1/6*i**3 + 20*i + 1/2*i**2 + 1/20*i**5 - 1/16*i**4 + 0. Factor s(r).
-(r - 2)**2*(r - 1)*(r + 1)/4
Let m(t) be the first derivative of -t**6/12 - 21*t**5/10 - 194. Factor m(i).
-i**4*(i + 21)/2
Suppose 346*f + v = 345*f - 1, 0 = 5*f - v - 25. Solve -34/11*x**3 + 0*x - 12/11*x**2 + 0 + 32/11*x**f + 14/11*x**5 = 0 for x.
-3, -2/7, 0, 1
Let x = 26 + -27. Let j be (-1440)/264 - 6/x. Find q such that j*q + 0 + 2/11*q**2 = 0.
-3, 0
Let o be 21 - (-5 + (-1 - -3)). Suppose -z = a - 0*a - 6, -3*a + o = 5*z. Factor -228*l**4 + 6*l - 1 + 162*l**z + 1 + 120*l**5 - 51*l**2.
3*l*(2*l - 1)**3*(5*l - 2)
Let m = -63604/195 + 4242/13. Factor 2/5*t**2 - m*t**4 + 0 + 0*t + 4/15*t**3.
-2*t**2*(t - 3)*(t + 1)/15
Let t(x) = 5*x - 2 + 0*x - x**2 - 3*x**2 + 3*x**2. Let l be t(3). Factor 6*h**5 - 10*h**4 - 2*h**3 + h**3 + l*h**3 + h**3.
2*h**3*(h - 1)*(3*h - 2)
Let b(h) be the second derivative of h**5/50 + 23*h**4/30 - h**3/15 - 23*h**2/5 + 310*h. Solve b(j) = 0.
-23, -1, 1
Factor -12/7*l**2 - 3*l + 30/7 + 3/7*l**3.
3*(l - 5)*(l - 1)*(l + 2)/7
Let t = 239/100 + -41/25. Let -t*m**2 - 3/2*m + 0 + 3/4*m**3 = 0. Calculate m.
-1, 0, 2
Let g(c) = 4 - 3 + 1 - 3 + c. Let d(a) = 2*a**2 + 4*a - 6. Let t = -43 + 45. Let l(w) = t*g(w) - d(w). Factor l(y).
-2*(y - 1)*(y + 2)
Let -3*j**4 - 1443*j**5 - 6*j**2 - 18*j**3 + 723*j**5 + 723*j**5 + 15*j + 6 + 3 = 0. Calculate j.
-1, 1, 3
Let g be (-16)/184 - 2814/(-6440). Let n(i) be the first derivative of -g*i**4 + 4/5*i + 3 - 3/5*i**3 + 6/5*i**2. Find d such that n(d) = 0.
-2, -2/7, 1
Let n(o) be the third derivative of 1/72*o**4 + 0*o + 0 - 1/30*o**6 - 1/40*o**5 - 32*o**2 - 13/1260*o**7 + 0*o**3. Factor n(h).
-h*(h + 1)**2*(13*h - 2)/6
Let r(b) be the third derivative of b**6/24 - b**5/12 + 75*b**2. Suppose r(y) = 0. | {
"pile_set_name": "DM Mathematics"
} |
omposite?
False
Is 17167 a composite number?
False
Is 7817 a prime number?
True
Is 516947 a composite number?
False
Is 16447 a prime number?
True
Is 1079 prime?
False
Is 178015 a composite number?
True
Is 4091 prime?
True
Is 716461 a composite number?
True
Is 102761 composite?
False
Is 1397 a prime number?
False
Is 90043 prime?
False
Is 6803 prime?
True
Is 18623 prime?
False
Is 601603 composite?
True
Is 18787 prime?
True
Is 82129 prime?
True
Is 618083 prime?
True
Is 162971 prime?
True
Is 158293 a composite number?
False
Is 16373 a prime number?
False
Is 249883 a prime number?
False
Is 11993 a composite number?
True
Is 2161 a composite number?
False
Is 105601 a prime number?
True
Is 264437 composite?
False
Is 76013 a prime number?
False
Is 396641 composite?
True
Is 8333 prime?
False
Is 62401 composite?
False
Is 302945 a prime number?
False
Is 1137157 prime?
False
Is 70341 composite?
True
Is 14179 prime?
False
Is 59326 prime?
False
Is 4481 a prime number?
True
Is 11089 a composite number?
True
Is 31927 prime?
False
Is 5849 prime?
True
Is 22853 a composite number?
False
Is 158 a composite number?
True
Is 24493 a prime number?
False
Is 3979 a composite number?
True
Is 23098 composite?
True
Is 189746 prime?
False
Is 189901 a prime number?
True
Is 31469 prime?
True
Is 17089 a prime number?
False
Is 55531 a composite number?
True
Is 46219 prime?
True
Is 40049 a composite number?
True
Is 559313 a composite number?
False
Is 2513443 composite?
False
Is 169307 a composite number?
False
Is 319811 composite?
False
Is 8861 prime?
True
Is 27409 a composite number?
False
Is 1799 a prime number?
False
Is 88117 a prime number?
True
Is 907 prime?
True
Is 3365 prime?
False
Is 4661 a prime number?
False
Is 857855 composite?
True
Is 21257 a prime number?
False
Is 13291 a composite number?
False
Is 2827 a composite number?
True
Is 49499 a composite number?
False
Is 5471 prime?
True
Is 3279641 prime?
True
Is 109353 prime?
False
Is 19153 composite?
True
Is 1965517 a composite number?
False
Is 26053 a composite number?
False
Is 30293 a prime number?
True
Is 6737 composite?
False
Is 34807 composite?
False
Is 412003 a prime number?
False
Is 5755 a composite number?
True
Is 19259 a composite number?
False
Is 19717 a prime number?
True
Is 569451 a composite number?
True
Is 232253 composite?
True
Is 22226 a composite number?
True
Is 155573 a composite number?
True
Is 647 a prime number?
True
Is 4843 a prime number?
False
Is 13595 prime?
False
Is 112141 a prime number?
False
Is 6947 prime?
True
Is 163879 a composite number?
True
Is 98731 composite?
False
Is 6421 prime?
True
Is 919 composite?
False
Is 1599851 prime?
False
Is 377771 prime?
True
Is 1691 a composite number?
True
Is 57221 a composite number?
False
Is 74147 composite?
True
Is 22431 a composite number?
True
Is 1407281 a prime number?
True
Is 173599 prime?
True
Is 373 a composite number?
False
Is 425147 prime?
True
Is 2329787 composite?
True
Is 64133 prime?
False
Is 262451 a prime number?
False
Is 10559 prime?
True
Is 309929 composite?
False
Is 13901 composite?
False
Is 5481799 a composite number?
False
Is 250633 prime?
False
Is 345241 a prime number?
False
Is 355133 a prime number?
False
Is 2602 a composite number?
True
Is 26041 a prime number?
True
Is 1647355 a composite number?
True
Is 4679 a composite number?
False
Is 14683 a composite number?
False
Is 118271 prime?
False
Is 1823 a composite number?
False
Is 3238 a prime number?
False
Is 353499 a composite number?
True
Is 485318 composite?
True
Is 328093 a composite number?
False
Is 295663 a prime number?
True
Is 184451 composite?
True
Is 23117 prime?
True
Is 46459 a prime number?
False
Is 14143 prime?
True
Is 194365 composite?
True
Is 4435 composite?
True
Is 9086927 composite?
False
Is 9461 a composite number?
False
Is 10973 a prime number?
True
Is 872455 a composite number?
True
Is 77383 composite?
False
Is 2464603 composite?
False
Is 36599 prime?
True
Is 9311 a composite number?
False
Is 26833 a prime number?
True
Is 3427 a composite number?
True
Is 222419 a composite number?
False
Is 20089 prime?
True
Is 24989 prime?
True
Is 155137 a prime number?
True
Is 1352359 a prime number?
True
Is 1821481 a composite number?
False
Is 8383 prime?
False
Is 34913 composite?
False
Is 749069 composite?
False
Is 61853 a prime number?
False
Is 3669 a composite number?
True
Is 67409 a prime number?
True
Is 6121 a prime number?
True
Is 31677 a prime number?
False
Is 14667 composite?
True
Is 135159 a prime number?
False
Is 23367 prime?
False
Is 164861 a composite number?
True
Is 23461 prime?
False
Is 307003 a composite number?
True
Is 597469 a prime number?
False
Is 30631 a composite number?
False
Is 831421 a composite number?
True
Is 15217 composite?
False
Is 5219 a prime number?
False
Is 9733 composite?
False
Is 4781 a composite number?
True
Is 566837 prime?
False
Is 69371 a composite number?
False
Is 3985 a prime number?
False
Is 68993 a prime number?
True
Is 195649 a composite number?
True
Is 1201 a composite number?
False
Is 3991 a composite number?
True
Is 5231 a prime number?
True
Is 579874 composite?
True
Is 1452527 a composite number?
False
Is 353323 composite?
True
Is 7903 a composite number?
True
Is 261797 a composite number?
True
Is 47933 a prime number?
True
Is 446 composite?
True
Is 37119 composite?
True
Is 9961 a prime number?
False
Is 348709 prime?
True
Is 47438 a composite number?
True
Is 45943 a prime number?
True
Is 187439 composite?
True
Is 3073067 a composite number?
False
Is 32353 composite?
False
Is 643301 prime?
True
Is 2929429 a composite number?
True
Is 25735 composite?
True
Is 70715 a prime number?
False
Is 1438 prime?
False
Is 1217 composite?
False
Is 228337 a prime number?
True
Is 94687 prime?
True
Is 4003819 a composite number?
False
Is 6683 a prime number?
False
Is 209249 composite?
False
Is 59333 prime?
True
Is 267659 a composite number?
True
Is 807071 prime?
True
Is 38383 a composite number?
True
Is 64705 composite?
True
Is 2099 a composite number?
False
Is 560963 a prime number?
False
Is 276358 prime?
False
Is 81085 prime?
False
Is 19571 a composite number?
False
Is 92146 a prime number?
False
Is 2153 a prime number?
True
Is 191489 a composite number?
True
Is 60691 prime?
False
Is 53467 prime?
False
Is 887 composite?
False
Is 89261 prime?
True
Is 48073 a prime number?
True
Is 8941 composite?
False
Is 218557 composite?
True
Is 20477 a composite number?
False
Is 1767487 prime?
True
Is 25341 composite?
True
Is 1703 a composite number?
True
Is 775241 a composite number?
False
Is 5669 a composite number?
False
Is 6879 prime?
False
Is 225113 composite?
True
Is 533597 a prime number?
False
Is 9253 composite?
True
Is 31469 prime?
True
Is 416947 prime?
True
Is 269 a composite number?
False
Is 15203 prime?
False
Is 112643 a prime number?
True
Is 3761 composite?
False
Is 11073 composite?
True
Is 40619 prime?
False
Is 3292574 composite?
True
Is 196423 prime?
False
Is 3432761 a prime number?
True
Is 7393 composite?
False
Is 9577 a composite number?
True
Is 6805 a composite number?
True
Is 4009 a composite number?
True
Is 104354 a composite number?
True
Is 7993 a prime number?
True
Is 344887 a prime number?
True
Is 7063 a composite number?
True
Is 173137 a composite number?
False
Is 602417 a prime number?
False
Is 20873 a composite number?
False
Is 14939 a prime number?
True
Is 1861 composite?
False
Is 109589 prime?
True
Is 90791 composite?
True
Is 20711 composite?
True
Is 186601 a composite number?
False
Is 60769 a composite number?
True
Is 68893 a composite number?
True
Is 201881 prime?
True
Is 19589 prime?
False
Is 138311 a composite number?
False
Is 75937 a composite number?
False
Is 748607 a composite number?
True
Is 15227 a prime number?
True
Is 775121 a prime number?
True
Is 5981 a composite number?
False
Is 338119 a composite number?
False
Is 300813 a composite number?
True
Is 4855 prime?
False
Is 13389 prime?
False
Is 18339 a composite number?
True
Is 67777 composite?
False
Is 26669 a prime number?
True
Is 1192879 composite?
False
Is 3719 prime?
True
Is 1192469 a prime number?
True
Is 57571 a prime number?
True
Is 13861 a composite number?
True
Is 18583 a composite number?
False
Is 1542353 composite?
True
Is 701 a prime number?
True
Is 8083 comp | {
"pile_set_name": "DM Mathematics"
} |
is the common denominator of 9/175 and 29/105?
525
What is the lowest common multiple of 44 and 512?
5632
Calculate the common denominator of -109/176 and -16/7.
1232
Calculate the smallest common multiple of 75 and 250.
750
What is the lowest common multiple of 16 and 363?
5808
Find the common denominator of 30/2257 and 127/222.
13542
What is the smallest common multiple of 20 and 8?
40
Calculate the common denominator of -11/52 and 37/104.
104
Calculate the smallest common multiple of 12 and 7156.
21468
What is the common denominator of 43/29 and -19/290?
290
What is the common denominator of -101/784 and -63/304?
14896
Calculate the common denominator of -95/1594 and 59/14.
11158
Calculate the common denominator of 1/608 and -7/16.
608
What is the smallest common multiple of 360 and 2?
360
What is the lowest common multiple of 3220 and 322?
3220
Calculate the least common multiple of 7 and 476.
476
What is the smallest common multiple of 18 and 28?
252
Find the common denominator of 50/21 and -4/687.
4809
What is the smallest common multiple of 66 and 339?
7458
What is the common denominator of -27/128 and 91/640?
640
Calculate the common denominator of -34/3 and 163/1218.
1218
Find the common denominator of 97/8 and -1/1620.
3240
Calculate the least common multiple of 297 and 11.
297
What is the least common multiple of 6160 and 1120?
12320
Calculate the least common multiple of 16 and 1184.
1184
What is the least common multiple of 26 and 6?
78
Find the common denominator of -85/18 and -80/117.
234
Calculate the lowest common multiple of 147 and 35.
735
Find the common denominator of -39/638 and -12/11.
638
Find the common denominator of -139/3714 and 137/6.
3714
What is the least common multiple of 34 and 10?
170
Find the common denominator of 89/6 and 31/6248.
18744
What is the least common multiple of 2451 and 24?
19608
What is the least common multiple of 333 and 37?
333
Calculate the common denominator of 16/93 and 31.
93
Calculate the common denominator of -23/6 and 139/870.
870
Calculate the lowest common multiple of 36 and 9772.
87948
Calculate the common denominator of -137/18 and -29/12.
36
Calculate the least common multiple of 234 and 182.
1638
Calculate the common denominator of 38/15 and 187/30.
30
Calculate the common denominator of 65/1036 and -7/740.
5180
What is the common denominator of -29/4 and 85/734?
1468
Calculate the common denominator of 51/50 and 28/15.
150
What is the smallest common multiple of 208 and 156?
624
What is the least common multiple of 354 and 8?
1416
Calculate the common denominator of 59/1250 and 37/18.
11250
Calculate the common denominator of -143/30 and -101/10.
30
What is the least common multiple of 42 and 176?
3696
What is the smallest common multiple of 768 and 704?
8448
What is the lowest common multiple of 96 and 48?
96
Calculate the smallest common multiple of 3 and 145.
435
Calculate the common denominator of 53/2288 and 133/220.
11440
Calculate the least common multiple of 200 and 560.
2800
What is the least common multiple of 258 and 18?
774
Calculate the least common multiple of 76 and 836.
836
What is the common denominator of 25/12 and 179/60?
60
What is the lowest common multiple of 144 and 1044?
4176
What is the lowest common multiple of 88 and 352?
352
Calculate the common denominator of 127/228 and 16/817.
9804
What is the least common multiple of 567 and 441?
3969
Find the common denominator of -23/297 and 7/99.
297
Calculate the common denominator of 47/100 and 29/30.
300
What is the lowest common multiple of 30 and 93?
930
What is the smallest common multiple of 1250 and 2500?
2500
Calculate the least common multiple of 9 and 337.
3033
What is the common denominator of 45/119 and -22/5?
595
What is the common denominator of -13/619 and -61/2476?
2476
What is the least common multiple of 76 and 400?
7600
Calculate the common denominator of -93/50 and -111/320.
1600
Find the common denominator of -107/132 and -43/20.
660
Find the common denominator of 49/9 and -17/26.
234
Calculate the common denominator of 14/85 and -36/187.
935
Calculate the lowest common multiple of 85 and 4845.
4845
What is the common denominator of -52/9 and 64/3?
9
What is the least common multiple of 14 and 15820?
15820
Find the common denominator of 155/6072 and 73/54.
54648
What is the smallest common multiple of 48 and 48?
48
Calculate the smallest common multiple of 80 and 20.
80
Calculate the lowest common multiple of 3 and 54.
54
Calculate the common denominator of -9/740 and 109/6.
2220
Calculate the smallest common multiple of 1311 and 115.
6555
Calculate the least common multiple of 32 and 48.
96
Find the common denominator of 77/104 and -109/104.
104
Calculate the smallest common multiple of 4 and 476.
476
Find the common denominator of -5/93 and 28/465.
465
What is the common denominator of -77/6 and -17/10?
30
What is the lowest common multiple of 102 and 153?
306
Find the common denominator of -87/14 and 13/496.
3472
Find the common denominator of 13/240 and 117/820.
9840
Calculate the common denominator of -131/18 and -125/2352.
7056
Calculate the least common multiple of 21 and 9.
63
Find the common denominator of -29/672 and -113/40.
3360
What is the common denominator of -111/50 and -26/85?
850
Calculate the least common multiple of 46 and 7.
322
Find the common denominator of 58/33 and 103/450.
4950
Calculate the least common multiple of 189 and 168.
1512
Calculate the common denominator of -23/117 and -47/13.
117
Calculate the least common multiple of 6860 and 10780.
75460
Calculate the common denominator of 53/48 and -11/6.
48
What is the common denominator of -149/6 and 51/7?
42
What is the common denominator of -61/476 and 109/14?
476
Calculate the lowest common multiple of 56 and 140.
280
Calculate the common denominator of -107/14 and 25/68.
476
What is the lowest common multiple of 4320 and 1512?
30240
Calculate the lowest common multiple of 14 and 28.
28
What is the smallest common multiple of 559 and 215?
2795
What is the lowest common multiple of 4 and 388?
388
What is the common denominator of -77/1196 and -61/26?
1196
Find the common denominator of -23/76 and 59/12.
228
Calculate the lowest common multiple of 316 and 4.
316
What is the lowest common multiple of 11 and 12740?
140140
What is the lowest common multiple of 18 and 16584?
49752
Calculate the common denominator of -13/110 and -26/33.
330
Calculate the common denominator of -9/10 and -37/545.
1090
Find the common denominator of 91/204 and -19/204.
204
What is the common denominator of 29/9 and 83/16?
144
What is the common denominator of 13/1920 and -131/336?
13440
What is the common denominator of 70/177 and -23/413?
1239
Calculate the smallest common multiple of 273 and 28.
1092
What is the least common multiple of 102 and 7?
714
Find the common denominator of 93/32 and 69/32.
32
What is the lowest common multiple of 5684 and 8?
11368
Calculate the lowest common multiple of 9 and 299.
2691
What is the common denominator of 57/10 and 127/6?
30
What is the lowest common multiple of 126 and 84?
252
What is the lowest common multiple of 9 and 401?
3609
Find the common denominator of -5/329 and -88/2961.
2961
Calculate the common denominator of -21/8 and 26/719.
5752
Find the common denominator of 93/430 and 39/10.
430
What is the smallest common multiple of 28 and 16?
112
Calculate the lowest common multiple of 469 and 469.
469
What is the lowest common multiple of 778 and 778?
778
What is the least common multiple of 7992 and 5328?
15984
Calculate the smallest common multiple of 408 and 18.
1224
What is the lowest common multiple of 22 and 132?
132
Calculate the least common multiple of 5385 and 11847.
59235
Find the common denominator of -83/208 and 105/104.
208
What is the smallest common multiple of 10 and 2206?
11030
Calculate the least common multiple of 465 and 255.
7905
Calculate the common denominator of -91/76 and 22/53.
4028
Calculate the smallest common multiple of 294 and 294.
294
What is the lowest common multiple of 60 and 20?
60
Find the common denominator of 91/92 and -67/483.
1932
Calculate the lowest common multiple of 27 and 90.
270
What is the least common multiple of 15 and 27?
135
What is | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 100200 and 1320?
120
What is the greatest common divisor of 2503 and 16752579?
2503
What is the highest common factor of 60163 and 34?
17
Calculate the highest common divisor of 28 and 2466583.
7
Calculate the highest common divisor of 3232947 and 159.
159
What is the highest common divisor of 150 and 9876?
6
What is the greatest common factor of 4844 and 9436?
28
Calculate the highest common factor of 507825 and 9.
9
What is the highest common divisor of 111011 and 248?
31
What is the greatest common factor of 403578 and 1827?
63
Calculate the highest common divisor of 343524 and 156.
12
Calculate the greatest common divisor of 1453790 and 26.
26
Calculate the greatest common factor of 73450 and 8970.
130
What is the greatest common factor of 1014 and 29328?
78
Calculate the greatest common divisor of 2348 and 200754.
1174
What is the greatest common factor of 319364 and 4?
4
What is the greatest common factor of 2409 and 12702?
219
Calculate the greatest common divisor of 29688 and 72.
24
What is the greatest common divisor of 139081 and 23?
23
Calculate the greatest common factor of 44 and 226886.
22
Calculate the highest common divisor of 5008 and 64478.
626
What is the greatest common divisor of 339795 and 5265?
405
What is the greatest common factor of 21867 and 121767?
111
Calculate the highest common divisor of 14444 and 111156.
628
Calculate the greatest common factor of 3794 and 322.
14
Calculate the greatest common divisor of 33807 and 8022.
573
Calculate the highest common factor of 435648 and 108.
12
What is the highest common factor of 34599 and 9?
3
Calculate the greatest common divisor of 2616 and 204.
12
What is the highest common divisor of 14340 and 4680?
60
What is the greatest common divisor of 356545 and 21710?
835
Calculate the highest common factor of 4485 and 30030.
195
Calculate the greatest common factor of 24 and 3064.
8
Calculate the highest common factor of 46762 and 103.
103
What is the highest common divisor of 7 and 374773?
7
What is the greatest common factor of 852 and 36?
12
Calculate the greatest common factor of 239046 and 54.
6
Calculate the greatest common factor of 928593 and 45.
9
What is the greatest common divisor of 1641387 and 165?
33
What is the highest common factor of 184760 and 465?
155
What is the highest common factor of 133 and 96292?
133
What is the highest common divisor of 19629 and 27?
27
Calculate the greatest common factor of 1547 and 461363.
119
What is the greatest common divisor of 174 and 1192944?
174
Calculate the highest common divisor of 208 and 39663.
13
Calculate the greatest common factor of 556914 and 404.
202
What is the greatest common factor of 1578529 and 606?
101
What is the greatest common factor of 1932 and 163548?
84
What is the highest common divisor of 23478 and 1365?
273
Calculate the greatest common divisor of 168058 and 484.
22
What is the greatest common divisor of 4 and 37665?
1
What is the highest common factor of 114 and 165666?
6
What is the greatest common factor of 85481 and 19?
19
What is the highest common factor of 339366 and 5379?
489
Calculate the greatest common divisor of 4836 and 2808.
156
Calculate the highest common divisor of 2646 and 1566.
54
Calculate the greatest common divisor of 76 and 2588.
4
Calculate the highest common factor of 3416 and 10584.
56
Calculate the highest common divisor of 217957 and 34.
17
Calculate the highest common divisor of 26741 and 429.
143
Calculate the highest common factor of 1130038 and 98.
98
What is the greatest common factor of 533 and 70397?
41
Calculate the greatest common divisor of 31126 and 3546.
394
What is the greatest common divisor of 184 and 2070?
46
Calculate the highest common divisor of 95400 and 10.
10
What is the greatest common factor of 756 and 9492?
84
Calculate the highest common factor of 88 and 303616.
8
Calculate the highest common divisor of 75727 and 164.
41
Calculate the highest common factor of 36 and 27636.
12
What is the highest common factor of 7272 and 238158?
1818
What is the highest common factor of 1720412 and 228?
76
What is the greatest common divisor of 343 and 48461?
49
Calculate the greatest common factor of 384 and 40776.
24
Calculate the greatest common divisor of 1742 and 494.
26
What is the greatest common divisor of 6556 and 24354?
22
What is the highest common divisor of 168 and 154168?
56
Calculate the greatest common factor of 636786 and 342.
18
What is the greatest common factor of 2460 and 27019?
41
What is the highest common factor of 55735 and 2485?
355
What is the greatest common divisor of 4 and 54388?
4
Calculate the highest common factor of 49876 and 296.
148
What is the highest common factor of 40956 and 180?
12
What is the highest common factor of 13626 and 864?
18
What is the greatest common factor of 2524106 and 130?
26
What is the highest common divisor of 1327843 and 77?
11
What is the highest common factor of 195 and 3919695?
195
Calculate the greatest common factor of 1068 and 2304.
12
Calculate the greatest common factor of 31079 and 12.
1
What is the highest common factor of 75 and 39?
3
Calculate the greatest common factor of 16 and 1217512.
8
What is the greatest common factor of 981 and 1254?
3
What is the highest common factor of 20322 and 1098?
18
What is the greatest common divisor of 8 and 184936?
8
What is the greatest common factor of 301 and 992569?
43
Calculate the highest common divisor of 4500 and 612.
36
Calculate the highest common divisor of 2443 and 560.
7
Calculate the greatest common divisor of 51489 and 81.
27
What is the highest common divisor of 90 and 8710?
10
Calculate the greatest common divisor of 40963 and 147823.
1781
Calculate the highest common factor of 293013 and 315.
63
Calculate the highest common divisor of 1617 and 45969.
231
What is the greatest common divisor of 74 and 18537?
37
What is the greatest common factor of 27066 and 78?
78
Calculate the greatest common divisor of 862173 and 117.
117
Calculate the greatest common divisor of 63 and 217.
7
What is the greatest common factor of 19870 and 1580?
10
Calculate the highest common factor of 64500 and 2625.
375
Calculate the highest common divisor of 884 and 91052.
884
What is the highest common divisor of 90 and 59463?
9
Calculate the highest common divisor of 7724 and 8.
4
What is the greatest common divisor of 1692 and 1644?
12
What is the greatest common factor of 4548 and 486?
6
What is the highest common factor of 61 and 655384?
61
What is the highest common divisor of 18 and 37827?
9
Calculate the highest common divisor of 65 and 149825.
65
Calculate the highest common factor of 1142008 and 112.
56
Calculate the highest common factor of 165341 and 33.
11
Calculate the greatest common factor of 163774 and 52.
26
Calculate the greatest common factor of 1189 and 14945730.
1189
What is the highest common factor of 2372 and 134611?
593
What is the greatest common divisor of 30652 and 2813?
97
What is the highest common divisor of 50327 and 126244?
853
Calculate the greatest common factor of 98 and 2177.
7
Calculate the greatest common factor of 58105 and 40.
5
What is the highest common divisor of 46850 and 4?
2
Calculate the greatest common divisor of 133 and 10003.
7
Calculate the greatest common divisor of 267 and 5963.
89
Calculate the greatest common factor of 500 and 13560.
20
Calculate the greatest common factor of 252 and 219422.
14
What is the highest common factor of 40 and 288935?
5
What is the highest common factor of 578 and 6494?
34
Calculate the highest common factor of 719518 and 916.
458
What is the highest common factor of 57861 and 27?
27
Calculate the highest common divisor of 35 and 436030.
35
What is the greatest common divisor of 210 and 54250?
70
Calculate the highest common divisor of 3813 and 1612.
31
What is the highest common divisor of 109858 and 4130?
826
What is the greatest common divisor of 63639 and 27?
27
What is the highest common factor of 9196 and 89452?
836
Calculate the highest common divisor of 180 and 74920.
20
Calculate the greatest common factor of 20 and 23092.
4
What is the greatest common divisor of 60 and 379380?
60
Calculate the highest common divisor of 37113 and 2363.
139
Calculat | {
"pile_set_name": "DM Mathematics"
} |
ct the terms in -2564 - 18*y + 916 + 906 + y + 742 - 23*y.
-40*y
Collect the terms in -428*o**2 + 3*o**3 + 78*o**2 - 369*o**2 + 719*o**2.
3*o**3
Collect the terms in -347*q**3 - q - 374*q**3 + 1 + 258*q**3.
-463*q**3 - q + 1
Collect the terms in 40*m + 1560*m**2 - 1002*m**2 + 251*m.
558*m**2 + 291*m
Collect the terms in 146*v - 62*v - 36*v - 33*v - 35*v + 52*v - 40*v.
-8*v
Collect the terms in 22515*k + 22520*k - 112580*k + 22516*k + 22510*k + 22520*k.
k
Collect the terms in 177*x**2 + 246133 + 312*x**2 - 246133.
489*x**2
Collect the terms in 1002*o**2 - 1 + 27*o - 11*o + 4 - 18*o.
1002*o**2 - 2*o + 3
Collect the terms in -59106420499 - t**2 + 59106420499.
-t**2
Collect the terms in -10*u + 35015 - 35015 + 3*u**2.
3*u**2 - 10*u
Collect the terms in 174*m - 826*m - 988*m - 3110*m.
-4750*m
Collect the terms in -2*f**2 + 7358174*f**3 + 2*f**2 - 7341282*f**3.
16892*f**3
Collect the terms in -103580*a - 42312*a - 26 - 152480*a + 27 + 23727*a.
-274645*a + 1
Collect the terms in 503*g**2 - 365*g**2 + 4410*g**2 - 365*g**2 + 1760*g**2.
5943*g**2
Collect the terms in 63*p + 32535 + 32322 - 64857.
63*p
Collect the terms in 33831*g**2 + 177002*g**2 + 55719*g**2 - 22397*g**2.
244155*g**2
Collect the terms in -790*r**2 - 91 + 91 - 723*r**2 + 1564*r**2.
51*r**2
Collect the terms in -33*b**3 - 470600421*b**2 + 470600421*b**2 + 4*b.
-33*b**3 + 4*b
Collect the terms in -185*k - 193*k - 185*k - 124*k + 876*k - 194*k.
-5*k
Collect the terms in -25*l - 5*l + 433 - 255 - 177.
-30*l + 1
Collect the terms in -89281877*c + 44641251*c + 44640882*c.
256*c
Collect the terms in -97*v**2 - 66*v**2 - 2*v - 2*v + v + 3*v.
-163*v**2
Collect the terms in 335 - 497*d**2 - 1334 + 325 + 340 + 334.
-497*d**2
Collect the terms in -44883 + 32876 - 330485 + 3*o**3.
3*o**3 - 342492
Collect the terms in -163*c**3 - 39087018*c**2 - 3 + 39087018*c**2.
-163*c**3 - 3
Collect the terms in 1023958*n**3 + 1023970*n**3 - 2047573*n**3.
355*n**3
Collect the terms in 26 - 32 - 84 + 27 + 27 + 39*g + 30.
39*g - 6
Collect the terms in -24*z**3 - 255*z - 24*z**3 - 17*z**3 + 116*z + 87*z**3 + 139*z.
22*z**3
Collect the terms in -3901*v - 11397*v + 2*v**3 - 1751*v.
2*v**3 - 17049*v
Collect the terms in -1 + 0 - 164328*n**2 + 1 - 178572*n**2.
-342900*n**2
Collect the terms in 34 - 9735*w + 32 + 34.
-9735*w + 100
Collect the terms in 16*b - 998*b**3 + 507*b**3 - 16*b + 472*b**3.
-19*b**3
Collect the terms in -663*s**2 - 6*s + 6054*s**2 + 4*s + 44*s**2.
5435*s**2 - 2*s
Collect the terms in 177*v**2 + 163*v**2 - 593*v**2 + 153*v**2 + 181*v**2 + 113*v**2.
194*v**2
Collect the terms in 3*x + 8947 - 4606 - 4382.
3*x - 41
Collect the terms in -7*v**3 + 3*v**2 - 4678881*v + 4678881*v.
-7*v**3 + 3*v**2
Collect the terms in -675*a**2 + 166*a**2 + 198*a**2 + 165*a**2 + 164*a**2.
18*a**2
Collect the terms in -6*n**2 - 28*n**2 - 234*n**2 + 369*n**2 - 37*n**2.
64*n**2
Collect the terms in 24*c - 9*c - 15*c + 234410*c**2 - 234597*c**2.
-187*c**2
Collect the terms in -1981939*s + 3963821*s - 1981882*s + 200*s**2.
200*s**2
Collect the terms in -5653*c + 1881*c - 12*c**2 + 1890*c - 17*c**2 + 1882*c + 27*c**2.
-2*c**2
Collect the terms in 4*g**2 - 4*g**2 - 5 + 34 - 56522*g**3.
-56522*g**3 + 29
Collect the terms in -162425359*z**2 + 2 - 109*z**3 + 162425359*z**2.
-109*z**3 + 2
Collect the terms in -68*d + 145*d + 1838*d**2 + 1831*d**2 - 3708*d**2 - 77*d.
-39*d**2
Collect the terms in -26061868 + 411*i**3 + 26061868.
411*i**3
Collect the terms in 9 + 605*u**2 - 312*u**2 - 301*u**2 + 434401*u - 434401*u - 9.
-8*u**2
Collect the terms in -31*o**2 - 3*o**2 - 4 - 11*o + 273*o + 5.
-34*o**2 + 262*o + 1
Collect the terms in -34160*i - 234233*i + 15254*i - 294640*i.
-547779*i
Collect the terms in 390*j - 7 - 22431*j + 7 + 3179*j - 16470*j.
-35332*j
Collect the terms in 403*x + 7 - 2*x**2 - 5 - 10 - 6.
-2*x**2 + 403*x - 14
Collect the terms in 547*q**2 - 265*q + 2*q**3 + 58*q + 548*q**2 - 79*q - 1095*q**2.
2*q**3 - 286*q
Collect the terms in -161 + 964*g - 13224 - 476*g - 486*g - 56.
2*g - 13441
Collect the terms in -4091*p + 11*p**3 + 5*p**3 - 522*p.
16*p**3 - 4613*p
Collect the terms in -41398987*p - 41398987*p + p**2 - 4*p**2 - 41398979*p + 124196953*p.
-3*p**2
Collect the terms in -28 - 20 + 2*d - 262*d**3 - d - 13 + 36*d**2.
-262*d**3 + 36*d**2 + d - 61
Collect the terms in -6*a**2 + 13*a**2 - 43*a**2 + 15*a + 3 - 15*a - 28*a**2.
-64*a**2 + 3
Collect the terms in 33*c + 37*c + 242 - 112*c - 137*c.
-179*c + 242
Collect the terms in 8*u - 2*u + 13*u + 261 + 11*u + 37*u.
67*u + 261
Collect the terms in 12 - 15 + 3 + s + 3931*s**3.
3931*s**3 + s
Collect the terms in 0 + 600*c - 2 + 4 - 5 - 295*c - 299*c.
6*c - 3
Collect the terms in 1076 - 293 + 357 + 2*q**3 + 28*q - 28*q.
2*q**3 + 1140
Collect the terms in 42*x - 57*x + 1991300 - 1991300.
-15*x
Collect the terms in 457 - 267*g - 238*g + 491*g.
-14*g + 457
Collect the terms in 4*u**2 + 51*u - 6*u**2 + 19*u - 2 - 27*u.
-2*u**2 + 43*u - 2
Collect the terms in -18 - 1522*s**2 - 6 + 1519*s**2 + 6*s**3.
6*s**3 - 3*s**2 - 24
Collect the terms in -3 - 258*q + 226*q + 42*q.
10*q - 3
Collect the terms in -19*m**2 - 74152*m - 17 + 6 + 10 + 74152*m.
-19*m**2 - 1
Collect the terms in -40588737*f - 11*f**3 + 40588737*f + 3.
-11*f**3 + 3
Collect the terms in 5*b**2 + 4*b**2 - 366 - 8*b**2 - 5*b - b**2 + 2*b**2.
2*b**2 - 5*b - 366
Collect the terms in -37736*t**2 - 37717*t**2 - 2*t + 2*t + 113144*t**2 - 37733*t**2.
-42*t**2
Collect the terms in -50*g**2 - 208 + 103 + 52*g**2 - 160*g**2 + 105.
-158*g**2
Collect the terms in 7 + 98769*d**2 + 0 - 7 - 97584*d**2.
1185*d**2
Collect the terms in -17*d**2 + 22*d**2 + 32*d**2 - 26*d**2 - 5*d**2.
6*d**2
Collect the terms in 5*y - 809 - 816 + 3167 - 777 - 821.
5*y - 56
Collect the terms in -23292*s + 6029*s - 5425*s - 5193*s.
-27881*s
Collect the terms in 56*h**2 + 83*h - 13*h**2 + 11*h**2 - 179*h + 96*h.
54*h**2
Collect the terms in -1586*v**2 + 1155*v**2 + 708*v**2 + 658*v**2.
935*v**2
Collect the terms in 70*z + 70*z + 55*z + 2*z**2 - 154*z.
2*z**2 + 41*z
Collect the terms in 214*t**2 + 69*t**2 + 24*t**2 - 309*t**2.
-2*t**2
Collect the terms in -26*q - 1956*q**2 + 1052 - 525 - 527.
-1956*q**2 - 26*q
Collect the terms in 40*j**2 - 146 + 43 - 24 + 49.
40*j**2 - 78
Collect the terms in -30 + 41*i - 42*i + 97 + 37.
-i + 104
Collect the terms in -27*c - 23*c - 6*c + 21*c + 119*c - 30*c.
54*c
Collect the terms in -1231*t + 351*t - 1230*t - 3594*t.
-5704*t
Collect the terms in -85824855127*g**2 + 42912427563*g**2 + 42912427564*g**2 - g**3.
-g**3
Collect the terms in 706 + 10246*x + 8511*x - 704.
18757*x + 2
Collect the terms in -362731*o**2 - 107263 + 362730*o**2 + 53627 + 53636.
-o**2
Collect the terms in -17*n - 3846736 + 7691353 - 3844617.
-17*n
Collect the terms in 172072*n - 344135*n - 137 + 172064*n.
n - 137
Collect the terms in 2462221*a - 7 - 284515*a - 3.
2177706*a - 10
Collect the terms in 46748*m + 47048*m + 18*m**3 + 46743*m - 140539*m.
18*m**3
Collect the terms in 3*f + 982283*f**2 - 3*f - 3074911*f**2.
-2092628*f**2
Collect the terms in -12229*j + 1513*j**2 - 1527*j**2 + 12231*j.
-14*j**2 + 2*j
Collect the terms in 79 - 23 - 230*a**2 - 37 - 19 + 211*a**2.
-19*a**2
Collect the terms in -1013*b**3 + 469341*b - 469341*b.
-1013*b**3
Collect the terms in 11544*c**2 - 1627*c**2 + 29035*c**2.
38952*c**2
Collect the terms in 624*w + 410*w - 134*w**3 - 62*w**3 + w**3.
-195*w**3 + 1034*w
Collect the terms in q**3 - 54*q**3 - 4*q**3 - 8*q**3 + 23*q**3.
-42*q**3
Collect the terms in 391*b**3 + 419*b**3 + 4 - 4 - 775*b**3.
35*b**3
Collect the terms in 239*x**2 + 655*x**3 - 197*x**3 - 77*x**2 - 232*x**3 - 79*x**2 - 83*x**2 - 224*x**3.
2*x**3
Collect the terms in -2*z**3 + 2*z**2 - 161*z + 0*z**2 + 7*z**3 - 8*z**2 + 2*z**2.
5*z**3 - 4*z**2 - 161*z
Collect the terms in -27*c + 72*c - 141*c - 160*c - 722*c - 303*c.
-1281*c
Collect the terms in 208 + 189*r - 190*r - 105 - 96.
-r + 7
Collect the terms in -4*a**2 - 4*a**2 - 11*a**2 + 14*a**2 + 9*a**2.
4*a**2
Collect the terms in -7902047*g**2 + 7902043*g**2 - 6*g + 39*g**3 + 6*g.
39*g**3 - 4*g**2
Collect the terms in -241321*l - 5*l**2 + 80358*l + 80481*l + 80482*l.
-5*l**2
Collect the terms in 6*i - 17245721203*i**2 - 3*i - 2*i - i + 17245721204*i**2.
i**2
Collect the terms in -1568 + 3065 + 0*b**3 - 1486 + 3 | {
"pile_set_name": "DM Mathematics"
} |
(w) = -21*w**2. Give p(l(m)).
-882*m**4
Let y(q) be the third derivative of 241*q**5/60 + q**4/12 - 1594*q**2 + 3*q - 2. Let k(u) = 13*u. Calculate k(y(d)).
3133*d**2 + 26*d
Let y(v) = 1391*v. Let x(u) = -220126*u**2. Give x(y(j)).
-425917615006*j**2
Let i(s) = 2*s. Let f(h) = -h**3 + 18*h**2 + 19*h - 18. Let z be f(19). Let c be 374/18 - 4/z. Let p(u) = c - 10 - 11 + 55*u. What is p(i(j))?
110*j
Let w(n) = 3*n**2. Let o(s) = -1625*s + 18. Let h(r) = 24375*r - 273. Let v(g) = 6*h(g) + 91*o(g). Determine v(w(t)).
-4875*t**2
Let b(i) = -278*i. Let x(a) = -20. Let g(o) = 2*o**2 + 15. Let r(u) = 8*g(u) + 6*x(u). Determine b(r(y)).
-4448*y**2
Let o(d) = 17668986*d. Let m(g) = g**2. Determine o(m(b)).
17668986*b**2
Let s(k) = -37*k**2 + 16*k + 5. Let z(v) = -22*v**2 + 12*v + 3. Let x(i) = -3*s(i) + 5*z(i). Let h(w) = -2*w - 17. Determine x(h(r)).
4*r**2 + 44*r + 85
Let h(o) = 9799191*o**2. Let u(a) = 31*a**2. Determine h(u(t)).
9417022551*t**4
Suppose 0 = -9*b + 14*b + 15. Let j(w) = -w**3 - 2*w**2 + 4*w + 5. Let n be j(b). Let a(i) = -7*i**n - i + 8*i**2 + i. Let g(c) = 11*c**2. Calculate a(g(q)).
121*q**4
Let m(t) = 50*t**2 - 3. Let c(f) = 585*f**2 - 35. Let g(p) = 3*c(p) - 35*m(p). Let r(w) = 205*w - 1. Determine r(g(b)).
1025*b**2 - 1
Let v(z) be the second derivative of -7*z**4/6 - 7*z**3/6 - 5*z**2 + 638*z - 3. Let q(a) = a. Determine v(q(o)).
-14*o**2 - 7*o - 10
Let y(i) = 2*i - 538. Let h(v) = -3*v**2 - 32*v + 2. Let c(t) = -t**2 - 16*t + 1. Let p(m) = -2*c(m) + h(m). What is p(y(k))?
-4*k**2 + 2152*k - 289444
Let z(n) = -3*n**2. Let u(l) be the second derivative of -275*l**3/2 + l**2 - 4*l - 270. Calculate z(u(d)).
-2041875*d**2 + 9900*d - 12
Let m(s) = -2*s. Let y(p) = 801*p + 5. Let z(j) = 400*j + 3. Let q(f) = 4*y(f) - 7*z(f). Calculate m(q(v)).
-808*v + 2
Let t(c) be the first derivative of -1209*c**2/2 - 362. Let u(l) = -l**2. Determine t(u(p)).
1209*p**2
Let s(f) = 2*f + 15258841. Let d(h) = -12*h. Determine d(s(y)).
-24*y - 183106092
Let k(h) = 14*h**2. Let p be 0*(0 - 1/3). Let c(q) = 8*q + p*q - 5*q - 8*q. Calculate c(k(z)).
-70*z**2
Let d(g) be the third derivative of -g**4/12 - 125*g**2 - 16. Let u(w) = -5 - 8 - 2*w + 6*w. Determine u(d(t)).
-8*t - 13
Let b(o) be the first derivative of 5*o**3 + 12882. Let a(s) be the third derivative of s**5/60 + s**2. What is b(a(n))?
15*n**4
Let a(h) = -15*h**2 - 21*h - 53. Let s(o) = 7*o**2 + 9*o + 26. Let i(l) = -3*a(l) - 7*s(l). Let k(d) = 2*d. What is i(k(y))?
-16*y**2 - 23
Let n(m) = -m. Let o(r) = -801493561*r**2. Calculate o(n(i)).
-801493561*i**2
Let l(m) be the second derivative of 103*m**5/120 + 23*m**3/3 - 19*m + 1. Let a(k) be the second derivative of l(k). Let y(o) = -3*o**2. Determine a(y(r)).
-309*r**2
Suppose 5*z - 5*c = 4*z - 24, 8 = -2*z + 2*c. Let x be (z - 2)/(1/(-7) + 0). Let g(a) = -15*a + x*a + 8*a + 2*a**2. Let f(w) = -16*w. What is f(g(s))?
-32*s**2
Let t(q) be the first derivative of -q**2 - 3. Let z = -45 + 48. Let g(b) = b + z*b + 4*b - 6*b - 3. Calculate t(g(c)).
-4*c + 6
Let v(j) = 2*j - 11292. Let u(s) = -s + 10. Calculate v(u(q)).
-2*q - 11272
Let y(o) = -4*o**2 - 2. Let i(n) = -8708*n**2 - 3110. Let j(q) = -i(q) + 1555*y(q). Let z(t) = 2*t. What is z(j(h))?
4976*h**2
Let v = -22 + 32. Suppose 3*w - 24 = 5*g + 2, g = -4*w + 4. Let z(d) = 5222 + v*d**w - 5222. Let n(u) = u**2. Determine n(z(j)).
100*j**4
Let k(b) = -4*b + 101. Let j be k(26). Let w(c) = 27*c - 8. Let p(r) = -10*r + 3. Let t(o) = j*w(o) - 8*p(o). Let s(h) = 243*h**2. What is s(t(m))?
243*m**2
Let z(m) = -m**2. Suppose -5*p = u - 18, 5*u - 8*u - 6 = -5*p. Let d(y) = -p*y - 11*y + 7*y - y. Determine d(z(b)).
8*b**2
Let x(n) = 44*n + 23 - 21 + 14*n. Let u(i) = 56*i + 1. Let w(a) = 3*u(a) - 2*x(a). Let y(s) = -s**2. Calculate y(w(r)).
-2704*r**2 + 104*r - 1
Let h(u) = 2*u**2. Let x(s) = 31691*s + 335. Let l(n) = -378*n - 4. Let w(j) = 1005*l(j) + 12*x(j). Calculate h(w(f)).
323208*f**2
Let y(t) = -603703*t + 17. Let s(l) = 2*l. Give y(s(c)).
-1207406*c + 17
Let m(v) = -66850*v. Let h(y) = -437*y. Let b(p) = 764*h(p) - 5*m(p). Let w(f) = 0 + 0 - 47*f + 45*f. Give w(b(n)).
-764*n
Let x(q) = 117*q**2 - 152*q**2 + 44*q**2. Let p(a) = -4*a**2. Calculate p(x(c)).
-324*c**4
Let c(b) = -5*b - 3. Let l(k) = -5500027*k. What is c(l(x))?
27500135*x - 3
Let a(c) = 251330*c - 1. Let x(f) = -16*f. What is x(a(r))?
-4021280*r + 16
Let h(k) = -2*k. Let y(j) = 621925825*j**2. What is h(y(q))?
-1243851650*q**2
Let i(r) = -4*r**2. Let v be (2/(-9) + (-3060)/(-2835))*56/12. Let h(m) be the second derivative of -1/3*m**v + 28*m + 0*m**2 + 0 + 0*m**3. Determine i(h(w)).
-64*w**4
Let m(b) = 186*b - 419*b + 197*b. Let c(i) = 4*i + 815 - 815. What is m(c(r))?
-144*r
Let n(h) = -h + 6320. Let p(d) = -13*d. Calculate p(n(m)).
13*m - 82160
Let m = 17 - 14. Let j(a) = -a + 2 + 1 + 4 - m. Let f(h) = 901465*h - 2*h**2 - 901465*h. Determine f(j(n)).
-2*n**2 + 16*n - 32
Let s(w) = 11*w**2 + 20*w**2 - 29*w**2. Let p = 113 + 92. Let c(i) = 205 - 19*i - p. Give s(c(n)).
722*n**2
Let h(n) = -16*n**2 + 2*n. Suppose -5*d = o - 11, -4*d + 3*o = 1 - 6. Let p(m) = 5*m + 18. Let w(z) = z + 4. Let a(r) = d*p(r) - 9*w(r). Calculate a(h(c)).
-16*c**2 + 2*c
Let v(r) be the first derivative of -4*r**3/3 + 1. Let c(a) = 4 + 73*a**2 - 4 - 256*a**2 + 175*a**2. What is c(v(n))?
-128*n**4
Let k(u) = 122*u**2 - 16*u + 32. Let o(a) = -23*a**2 + 3*a - 6. Let f(x) = -3*k(x) - 16*o(x). Let l(p) = -2*p + 401. Determine f(l(m)).
8*m**2 - 3208*m + 321602
Let k(g) be the second derivative of -15*g**3 - 6*g. Let y(q) = 86*q - 24*q - 27*q - 34*q. Give y(k(i)).
-90*i
Suppose 69 - 13 = 7*c. Let j(f) = 8*f - c*f + 2*f - 3*f. Let t(i) = -3*i**2 + 18. Calculate t(j(p)).
-3*p**2 + 18
Let d(n) = 3*n**2 + 513. Let m(c) = 22*c + 7. Let g(v) = -9*v - 3. Let o(f) = 7*g(f) + 3*m(f). Determine d(o(h)).
27*h**2 + 513
Let s(j) = -7*j**2 + 44*j**2 - 10*j**2 - 16*j**2 - 13*j**2. Let a(c) = 13*c + 51 - 51. Give s(a(r)).
-338*r**2
Let x(m) be the first derivative of -m**6/72 - 142*m**3/3 - 151. Let i(q) be the third derivative of x(q). Let o(y) = -16*y**2. What is i(o(u))?
-1280*u**4
Let o(f) = f. Let j(r) be the first derivative of 12*r**2 - 9*r**2 + r + 198 + 3*r - 4*r. What is o(j(m))?
6*m
Let o(q) = 2*q - 94. Let m(y) = 301*y**2 - 10*y + 15. Determine o(m(r)).
602*r**2 - 20*r - 64
Let i(u) = 135 - 135 - 3*u**2. Let d(m) be the third derivative of -m**4/2 - m**3/6 + m**2 - 473*m + 5. Calculate i(d(p)).
-432*p**2 - 72*p - 3
Let d(z) be the third derivative of 30*z**2 + z - 1/6*z**4 + 0 + 0*z**3. Let b(n) = 4*n**2. Determine b(d(v)).
64*v**2
Let l(s) = -2*s. Let c(g) be the third derivative of -27*g**5/20 + g**4/8 + 536*g**2. Determine l(c(o)).
162*o**2 - 6*o
Let d(p) = -126*p. Let y(h) = -95*h. Let u(v) = 3*d(v) - 4*y(v). Let f be 0*(-2 + 10/4). Let w(x) = -3*x + f*x + 2*x. Determine w(u(b)).
-2*b
Let x(h) = -h**2. Let k(c) be the third derivative of 5471*c**5/60 - 21*c**2 - 2. Determine x(k(l)).
-29931841*l**4
Let v(q) = -26*q. Let d(l) = -31*l - 4*l + 10*l - 40*l - 11*l. What is d(v(u))?
1976*u
Let q(i) = -371*i + 527*i - 170*i. Let d(s) be the third derivative of s**4/24 - s**2. Calculate q(d(u)).
-14*u
Let c(d) be the first derivative of 25*d**2 + 1106. Let m(b) = 40*b**2. Determine c(m(z)).
2000*z**2
Let i(t) = 67*t - 165*t + 41*t + 61*t. Let y(b) = -b**2 - 4*b - 23. What is y(i(u))?
-16*u**2 - 16*u - 23
Let u(i) = -60*i - 2. Let a(k) = 47*k**2 + 2*k + 4. Let s(b) = -1060*b**2 - 45*b - 90. Let r(f) = -45*a(f) - 2*s(f). Give u(r(t)).
-300*t**2 - 2
Let a(t) = 8*t + 2. Let b(p) = -3*p + 1. Let q be ((-42)/(-126))/(-2 - 35/(-18)). Let c(u) = 15*u - 6. Let z(n) = q*b(n) - c(n). What is z(a(y))?
24*y + 6
Let x(j) = -44 - 44 + j**2 + 88. Let w(t) = 616*t. Calculate w(x(y)).
616*y**2
Let x(p) = p**2. Let i(z) = 4*z + 1006*z**2 - 979*z**2 - 5*z. Calculate i(x(n)).
27*n**4 - n**2
Let v(u) = -5*u - 4. Let z(w) = -15*w - 11. Let c(t) = 11*v(t) - 4*z(t). Let b(x) be the third derivative of 17*x**5/30 + 547*x**2. What is c(b(a))?
170*a**2
Let g(r) = -3*r. Let m(k) = 17*k**2 + 27*k + 1203. Let i(p) = 27*p**2 + 43*p + 1925. Let h(j) = -12*i(j) + 19*m(j). Determine h(g(c)).
-9*c**2 + 9*c - 243
Let y(w) = 7*w. Let l(u) = 163*u + 7692. Determine l(y(h)).
1141*h + 7692
Let i(z) = -118*z**2. | {
"pile_set_name": "DM Mathematics"
} |
z*m + 12 = -m for m.
-4
Let d = -144 - -168. Solve 4*p = d - 4 for p.
5
Let z(v) = -v**3 - 4*v**2 + 6*v + 5. Let b be z(-5). Suppose 0*g - 5*a = -2*g, b = a. Let w be 1 - (-4 + (g - -1)). Solve -o = o + w for o.
-2
Let m = -8 - -10. Suppose 3 + m = -3*i + 5*h, 2*i + 5*h - 5 = 0. Solve 3*c = -i*c - 3 for c.
-1
Let q be (17/(-34))/((-1)/4). Solve q*b - 12 = 5*b for b.
-4
Let t be 2/(4/(1 + 7)). Let h = 15 - 9. Let m = h - t. Solve 3*a + 10 = -m*a for a.
-2
Let z = 5 - 1. Solve k - 1 = z for k.
5
Suppose 20 = 4*y - 2*x + 3*x, 4*x = -5*y + 14. Let o(a) = 2*a - 9. Let b be o(y). Solve 18 = -5*i + b for i.
-3
Let y = -14 - -12. Let s = -2 - y. Solve s = 4*j - 2 - 2 for j.
1
Let c(n) = -3*n**3 + 2*n**2 - n. Let d be c(1). Let f be d + (-2 - -1 - -6). Solve x - f = 1 for x.
4
Let d = 6 - 2. Suppose -3 = d*m + 4*s - s, 0 = 3*m - 2*s - 19. Suppose 2*o = -n, m*n = 4*n - 5*o - 7. Solve 1 = -3*x + n*x for x.
-1
Suppose -2*v + 5*l + 14 = 3*l, -5*l - 5 = 0. Solve -v*d = -4*d + 2 for d.
-1
Let r be 1/(0 - 1/(-5)). Suppose 4*z + 2 = 3*i, -3*i + 6 = r*z - 5. Solve -i*y - 9 = -5*y for y.
3
Suppose 42 = r + 2*r. Let x(k) = k**3 + 5*k**2 + k - 7. Let h be x(-4). Suppose -36 = -h*g + r. Solve -5*f + g = -5 for f.
3
Suppose 0 = -4*d - 4*o, -4*d + 3*o = -0*o - 28. Solve -d*a - 2 = 2 for a.
-1
Let r(k) = -k - 1. Let n be r(5). Suppose -5*a + 12 = -28. Let q = n + a. Solve x = -0*x - q for x.
-2
Let r(a) = a**3 - 6*a**2 - a + 7. Let h be r(6). Let x be (h - 3/(-4))*4. Solve -4*l + 19 - x = 0 for l.
3
Let i(b) = -b**2 + b. Let u be i(1). Let s(n) = 3*n**3 - n**2 - n + 2. Suppose 4*y + y = 5. Let g be s(y). Solve u = 2*j + g*j for j.
0
Let x = 9 + -7. Let v be x + (-1 - -5) - 3. Suppose v*l - 7 = 2. Solve 2 = 5*g - l for g.
1
Suppose 0 = 2*p - 6*p + 12. Let a(j) = -4*j + 4*j + 2*j - p*j + 3. Let s be a(-4). Solve -h - s = -2 for h.
-5
Suppose -5*b + 6*g = g - 40, 4*b = -3*g + 46. Suppose -4*l - l + b = 0. Suppose 5*r = -0*r + 10. Solve -r*h + 4 = l for h.
1
Let m = 11 + -8. Let i = 12 + m. Solve -6*u + u = i for u.
-3
Let a = -3 - -7. Suppose 3*f - 3*w = 0, 0 = -3*f - 3*w + a*w + 4. Suppose -8 = -3*t - f. Solve t = 4*n - 2 for n.
1
Let s(i) = i**3 + i**2 - 4*i. Let d be s(2). Solve -d*u + 2 = -14 for u.
4
Let d(s) = -s + 14. Let i be d(8). Let f = 9 - i. Solve q - 8 = f*q for q.
-4
Let h be (3 - 3/2)*2. Suppose 2*p = -h*p + 325. Let g be 1/(-4) + p/4. Solve c - 5*c + g = 0 for c.
4
Suppose -t = 1 - 5. Solve 4*g - t = -0 for g.
1
Suppose 2*y - 20 = -5*i, y - 2 = 4*i - y. Solve i*p + 0 + 2 = 0 for p.
-1
Let c be 6*(4 + (2 - 2))/6. Solve 1 = -3*l + c*l for l.
1
Let s(d) = 2*d**3 + 2*d**2 - 2*d + 1. Let x = 10 - 6. Suppose 5*r + 5*t = 25, -r - x*t = -2*r - 15. Let l be s(r). Solve -2 - 10 = l*a for a.
-4
Suppose -4*o + 28 = -5*k, 4*o - k - k = 40. Solve 0*r + 4*r = o for r.
3
Suppose d - 4*c - 14 = -d, -5*d - c + 2 = 0. Let g = 9 - 6. Solve g*o - d = 2*o for o.
1
Suppose -z + 2 = -0. Suppose 0 = 3*w + z*w - 35. Let f = -4 + w. Solve -i = -f + 5 for i.
-2
Let c(n) = n. Let k be c(-2). Let i = 3 + k. Solve -2*j - i = -3 for j.
1
Suppose 28 = 2*y - 3*g + 2, 2*y + 4*g = 12. Solve 2 = 4*o + y for o.
-2
Let s(f) = 0*f - 1 + 0*f + 19*f**3 + 0. Let p be s(1). Solve -p = -3*y - 3 for y.
5
Let z be 1/3 - 8/24. Solve 0 = -5*b - z*b - 20 for b.
-4
Let i = 17 - 11. Suppose -o = -i*o - 35. Let q = o - -11. Solve 2*k + 2*k + q = 0 for k.
-1
Let z(y) = 2*y**3 - 12*y**2 + 3*y + 2. Let t be z(6). Solve -3*r + t = r for r.
5
Let l be (-1 + 1)*3/3. Suppose s + s = l. Solve -3*d - 1 - 8 = s for d.
-3
Let v(z) = z**2 + z - 4. Let i be v(-3). Suppose -2*c - i + 12 = 0. Solve -k + 2 = c for k.
-3
Let p be ((-7)/7)/((-2)/28). Let u = 16 - p. Solve 2*m - 12 = -u*m for m.
3
Let d be (7 + -2)*(-8)/(-10). Solve -d*o - o + 20 = 0 for o.
4
Suppose 0 = 2*f + 5*f - 21. Suppose 8 = d + f. Solve 4*y = -y - d for y.
-1
Suppose 2*l - 7 = 11. Solve l + 11 = 4*f for f.
5
Let z be (56/16)/(1/(-2)). Let g = 9 + z. Solve -3*x - g - 13 = 0 for x.
-5
Suppose -44 + 54 = 2*u. Solve -u*q = -q for q.
0
Let u = 15 + -5. Let l be ((-6)/(-5))/(3/u). Suppose 4*g = 3*y + 80, 6*g - 2*y - 80 = 2*g. Solve -l*x - g = -0*x for x.
-5
Let h be -1 - (-2 - (2 - 3)). Suppose 2*n - i - 2 - 4 = h, -5*i = n - 3. Solve x - n*x = 6 for x.
-3
Suppose 54 - 18 = -3*g. Let f be (-4)/(-6) + (-4)/g. Suppose 2*t = -f + 7. Solve 0 = x + t*x + 8 for x.
-2
Suppose -d - 2 = -4. Solve -d = -2*z + 2 for z.
2
Suppose -3*h = 10 - 4. Let w = h + 5. Solve 0 = -w*k - 2*k + 15 for k.
3
Let m = 0 + 1. Suppose 2*p = 2*y + 4, 3*y + m + 5 = -3*p. Let l = y - -5. Solve b - l*b = 0 for b.
0
Let u(v) = -v + 19. Let h be u(12). Suppose 40 = -2*g + h*g. Solve 2*b + 2 + g = 0 for b.
-5
Let y(j) = j**2 + j - 2. Let i(a) = -a**2 + 3*a + 1. Let g be i(4). Let x be y(g). Suppose -3*s = -x - 2. Solve -f = -s*f - 2 for f.
-2
Let k = -100 - -100. Let j be 1 + 2 + -1 + 4. Suppose -j*s = -3*s. Solve 3*x + s*x - 9 = k for x.
3
Let j(o) = -o - 2. Let f be j(-4). Solve -12 = -5*w + f*w for w.
4
Let u(t) = -t**2 + 6*t - 7. Let c be u(3). Suppose 3*h - 7 = -c*n, -3*h - 28 = -5*n - 0*h. Solve -2 = -n*w - 7 for w.
-1
Let h(j) = j**2 + 9*j + 11. Let w be h(-8). Let n be w/(-3) - -2 - -1. Solve -p = n*p - 3 for p.
1
Suppose o - 2*g - 2 = 0, 31*g - 32*g = 4*o - 17. Let i = 0 - 0. Let f be -1 + -1 + (0 - -10). Solve i - f = o*u for u.
-2
Suppose -l = 2*q - 6, q - l = -2*q + 4. Let u(y) = y**3 - 7*y**2 + y - 6. Let w be u(7). Suppose -w - 3 = -2*i. Solve -i*h + 0 + q = 0 for h.
1
Let y = -56 - -69. Suppose 0 = -w - 4 + 5. Suppose -6 - 8 = -5*k + v, -2*k + 2 = -4*v. Solve -w = -k*d - y for d.
-4
Suppose c + 11 = 13. Solve -c*v - 4 = 2 for v.
-3
Let u = -1466 - -992. Let x be (-1)/(-3) - u/9. Suppose 5*o - 12 = x. Solve -1 = -3*r - o for r.
-4
Let s(c) = -c**3 - 6*c**2 + 8*c + 18. Let r be s(-7). Solve -r = -5*h + 14 for h.
5
Let x be 7 - (-2)/(-1 - -3). Let q = -6 + x. Solve q*y + 3*y = 0 for y.
0
Let d(v) = -v**2 - 7*v - 2. Let b be d(-6). Let o be 12/(-9)*(-6)/b. Solve -6*r + o*r = -20 for r.
5
Let a(i) = i + 8. Let y be a(-5). Suppose -2*v - 2*n + 7 - y = 0, -2*n = 4. Solve -r = -0 + v for r.
-4
Let g = 48 + -16. Suppose 2*s + g = 4*s. Solve 6 = 5*n + s for n.
-2
Let q be (6/5)/(8/20). Let k be (-2 - (q - 6))*3. Suppose k = 5*t - 2. Solve -z + 2 = -t for z.
3
Let a(f) = f**2 + 3. Let w be a(-3). Let s = -6 - -9. Solve -s = 5*o + w for o.
-3
Let f = -13 + 14. Let o = f + 1. Solve -o*c = -c for c.
0
Let x = -6 + 10. Solve 0 = -d + x*d for d.
0
Let p be -1 - (-6 + (3 - 1)). Suppose 12 = -p*o - h, 4*o - 2*h + 0*h + 16 = 0. Let u be (o/(-5))/(9/135). Solve -4*s + u = -0*s for s.
3
Let z(r) = -r**2 - 6*r. Suppose 6*l - 3*l + 18 = 0. Let x be z(l). Let a be 24/30*(x + 5). Solve -s = a*s + 20 for s.
-4
Suppose s + 3 = 0, -5*i + 11*s - 7*s = -37. Solve 6 + 4 = i*p for p.
2
Let c(m) = 3*m**2 + 4*m - m**2 + 3 - 6*m. Let s be c(2). Solve s + 1 = 4*a for a.
2
Suppose 4*j - 4*y = 16, 3*j + 11*y - 6*y + 20 = 0. Solve j = 3*q - 1 + 7 for q.
-2
Suppose -4*i + 6 = 3*t + 3, 0 = -i + 3*t + 12. Suppose 2*n = -k, -n = i*k - 4*k. Suppose k = 4*v + 3*m + 9, 0*v + 5*m + 15 = v. Solve 2 = -b - v*b for b.
-2
Let h(g) = g**3 + g**2 - 4*g - 2. Let f be h(-3). Let p = f - -8. Solve -5*w + p*w = -5 for w.
1
Let x(f) = -4 + f + 0*f - 3*f + 5. Let m be x(-1). Solve 3*g - m = 9 for g.
4
Let p(z) = -159*z + 160*z - 4 + 20. Let i be p(-15). Suppose -2 = -2*f + 4, 7 = m + f. Solve -i = m*w + 3 for w.
-1
Let h(p) = -5*p - 13. Let a(i) = 4*i + 13. Let n(w) = 4*a(w) + 3*h(w). Let g be n(-8). Suppose 5*z = g + 5. Solve b - z*b = -5 for b.
5
Let p(a) = a**2 - 2*a - 4. Let t be p(-3). Solve -t = 4*i + 5 for i.
-4
Let p(m) be the second derivative of m**5/20 - m**4/12 - m**2 - 3*m. Let j be 25/10*(-12)/(-10). Let f be p(j). Solve -2*b + f = 2*b for b.
4
Let q = -3 + 4. Let c = 1 + q. Suppose 10*u = 2*u. Solve u = c*k - 3 - 5 for k.
4
Let x(i) = i**3 - 3*i**2 - 6*i + 5. Suppose 0 = 2*u - 8 - 0. Let c be x(u). Let a be 1/c + 30/9. Solve -2 = m - a*m for m.
1
Suppose -f = 4*j + 3*f - 4, 0 = -j - 2*f. Solve w + 2 = -j for w.
-4
Suppose -w = -8 + 6. Suppose -2 = -w*v + 18. Solve -v = a + a for a.
-5
Let p(j) = -j**2 - 5*j - 3. Let y be p(-4). Suppose 2*z = -5 + y. Let x be (5/20)/(z/(-8)). Solve -a - 1 = x for a.
-2
Suppose -3*k - | {
"pile_set_name": "DM Mathematics"
} |
rst derivative of 3 + 0*d**3 + 0*d - d**2 - 1/24*d**4. Let y(l) be the second derivative of s(l). Let c(h) = 2*h. Determine c(y(w)).
-2*w
Let q(m) = -9*m. Let x(v) = 2*v - 3. Let b(n) = 6*n - 8. Let r(t) = -3*b(t) + 8*x(t). Determine r(q(w)).
18*w
Let b(c) = -2*c**2. Let n(t) = t**2 + 1. Suppose 0 = -2*p + p + 2. Let v(y) = -p + 2 + 3*y**2 + 0*y**2 + 6. Let o(h) = 6*n(h) - v(h). Give b(o(q)).
-18*q**4
Let s be 4/6 + 2/6. Let y be s - -1 - (1 + -1). Let z(p) = -y*p + 2*p + p. Let g(j) = 2*j**2. Calculate z(g(m)).
2*m**2
Let f(x) = -11*x**2. Let k(b) = -9*b**2. Let t(u) = -5*u**2. Let p(l) = -3*k(l) + 5*t(l). Calculate f(p(d)).
-44*d**4
Let g(q) be the first derivative of -9*q**2/2 + 47. Let j(a) = -2*a. Calculate g(j(w)).
18*w
Let i(a) = 7*a**2. Let c(q) = q - 2. Give c(i(d)).
7*d**2 - 2
Let u(v) = -16*v**2. Let c(q) = 14*q. Give u(c(p)).
-3136*p**2
Let r(a) = -11*a**2. Let c(j) = 144*j**2. Let o(m) = 6*c(m) + 80*r(m). Let y(s) = 3*s**2. What is y(o(u))?
768*u**4
Let w(g) = 1045*g. Let d(l) = -l**2. Determine d(w(s)).
-1092025*s**2
Let v(t) = -2*t**2. Let x(g) = -3376*g. Calculate v(x(a)).
-22794752*a**2
Let u(v) be the first derivative of v**3/3 + 10. Let k(z) = 4*z**2. What is u(k(j))?
16*j**4
Suppose 5 = -3*m + 11. Let h(b) = 3 - 4 + 4*b**m + 1. Let z(y) = -2*y. Calculate z(h(d)).
-8*d**2
Let n(z) = z**2. Let x(u) = 300*u + 1 - 320*u - 1. What is x(n(w))?
-20*w**2
Suppose 1 - 1 = -10*j. Let q(u) be the second derivative of j + 0*u**2 - 3*u + 0*u**3 + 1/12*u**4. Let c(x) = 3*x. Give c(q(m)).
3*m**2
Let o(n) = 10*n. Let h(t) = -7*t + 50. What is o(h(q))?
-70*q + 500
Let o = -8 + 8. Let w(x) be the first derivative of 0*x**2 + o*x + 1 + 1/3*x**3. Let h(f) = -2*f**2. Determine w(h(g)).
4*g**4
Let b(i) be the first derivative of 2*i**3/3 - 3. Let a(o) = o**2 - 1. Let z(s) = 6*s**2 - 7. Let n(h) = 14*a(h) - 2*z(h). Calculate n(b(f)).
8*f**4
Let p(j) = -2*j**2. Let r(w) = w**2 - 3*w + 2. Let a be r(2). Let v(u) = 8*u + 2*u + a*u. Calculate p(v(c)).
-200*c**2
Let z(l) be the third derivative of -l**4/8 - 5*l**2. Let h(k) = -17*k. What is h(z(u))?
51*u
Let y(a) = -2*a - 218 + 218. Let c(k) = k**2. Determine c(y(i)).
4*i**2
Let l(c) = 11*c**2. Let f(p) = 284*p. Determine l(f(t)).
887216*t**2
Let y(i) = -32*i**2 + 92*i**2 - 32*i**2 - 25*i**2. Let d(x) = 5*x**2 - 4. Let h(w) = w**2 - 1. Let k(s) = -d(s) + 4*h(s). Give y(k(p)).
3*p**4
Let v(m) = m. Let o(d) = -7*d. Let a(n) = -13*n. Let h(l) = -6*a(l) + 11*o(l). What is v(h(c))?
c
Let n(l) = 2*l. Let y(d) be the third derivative of 3*d**5/20 + 13*d**2. What is n(y(m))?
18*m**2
Let v(j) be the third derivative of j**5/60 - j**2. Let s(q) = 5*q**2. Calculate s(v(y)).
5*y**4
Let w(q) = -14*q. Let c(u) be the first derivative of 2*u**3/3 - 8. What is c(w(t))?
392*t**2
Let o be 2/(-1) - -4 - 0. Let s(q) = 2*q + q - 2*q. Let n(w) = -5*w. Let j(b) = o*n(b) + 9*s(b). Let m(v) = -3*v. What is j(m(l))?
3*l
Let r(d) be the third derivative of -d**5/30 - 9*d**2. Let m(c) = -8*c. What is r(m(z))?
-128*z**2
Let h(t) = 40*t. Let d(f) = 20*f. Calculate h(d(z)).
800*z
Let i(y) = -10769 + 10769 - 6*y. Let c(d) = 0*d - 4*d + 3*d. Calculate i(c(b)).
6*b
Let n(y) = y. Let d(z) = 3*z. Let f(g) = 4*d(g) - 9*n(g). Let s(c) = c**3 - 5*c**2 - 7*c + 8. Let w be s(6). Let u(k) = k**w - 2*k**2 + 2*k**2. What is u(f(j))?
9*j**2
Let l(y) = -35*y**2 - 9*y + 9*y + 5*y**2. Let m(g) = 2*g. What is m(l(a))?
-60*a**2
Let g(k) = 2*k. Let j(r) be the third derivative of -1/6*r**4 + 0*r + 0 - 3*r**2 + 0*r**3. Give j(g(t)).
-8*t
Let o(k) be the first derivative of 0*k**3 + 0*k**2 - 3 - 1/6*k**4 - 4*k. Let r(s) be the first derivative of o(s). Let n(a) = -2*a**2. Give r(n(y)).
-8*y**4
Let a(f) = -2*f. Let m(r) = -6*r**2. Give m(a(o)).
-24*o**2
Let l(c) be the third derivative of c**5/60 + c**3/6 + 5*c**2. Let t(f) be the first derivative of l(f). Let q(d) = -d. Give t(q(s)).
-2*s
Let t(y) = -2*y**2. Let d(b) = 1. Let c(u) = -u - 11. Let j(z) = -c(z) - 3*d(z). Let o be j(-5). Let m(k) = k - o*k - 2*k. What is t(m(l))?
-32*l**2
Let b(l) = 2*l + 43. Let s(f) = -2*f**2 - 16. Calculate b(s(j)).
-4*j**2 + 11
Let t(i) = -17*i**2. Let w(k) be the second derivative of k**4/6 - 10*k. Give w(t(x)).
578*x**4
Let o(z) = -z**2. Let b(n) = 0 + 14*n + 0 - 18*n. Give o(b(q)).
-16*q**2
Let x(o) be the second derivative of -7*o**4/12 + 40*o. Let h(j) = -6*j. Determine x(h(l)).
-252*l**2
Let p(n) = 3*n**2. Let q(a) = -a + 515. Give q(p(m)).
-3*m**2 + 515
Let b(h) be the first derivative of 15*h**2/2 + 2. Let d(r) be the first derivative of -2*r**3/3 - 2. Determine d(b(p)).
-450*p**2
Let m(k) = 2*k**2. Let g be (-16)/(-2)*1/4. Let b(a) = -3*a**2 + 4*a**2 + 6*a**g - a**2. Give m(b(h)).
72*h**4
Let y(l) = 3*l. Let n(i) be the second derivative of 4*i + 0*i**2 + 0 + 0*i**3 + 1/12*i**4. Determine n(y(c)).
9*c**2
Let x(l) be the third derivative of 14*l**5/15 - 14*l**2 - 3. Let t(q) = q. What is x(t(n))?
56*n**2
Let l(b) = -15*b. Let q(u) be the third derivative of -u**4/12 + 4*u**2. Determine q(l(s)).
30*s
Let b(h) = h**2. Suppose -6*p + 375 = -219. Let j(q) = 5*q**2. Let y(x) = 81*x**2. Let k(a) = p*j(a) - 6*y(a). Calculate b(k(r)).
81*r**4
Let o(v) = v. Let g(y) = -3*y**2 - 127. Give o(g(c)).
-3*c**2 - 127
Let p(t) = t**2. Let o(h) = 16*h**2 - 25*h. Let v(l) = 4*l**2 - 6*l. Let i(q) = 2*o(q) - 9*v(q). Determine i(p(k)).
-4*k**4 + 4*k**2
Let k be (0 - (-27)/(-3)) + -1. Let g(a) = 5*a + 3. Let t(m) = -16*m - 10. Let l(y) = k*g(y) - 3*t(y). Let n(v) = -19*v**2 + 13*v**2 + 8*v**2. What is l(n(q))?
-4*q**2
Let g(l) = 2*l. Let a(s) = 545*s**2. Calculate g(a(q)).
1090*q**2
Let t(g) be the third derivative of 7*g**5/60 - g**2. Let o(h) be the first derivative of -h**3/3 + 79. Calculate t(o(z)).
7*z**4
Let z(y) = 2*y**2. Let q(d) be the third derivative of -2*d**5/15 + 14*d**2. Give q(z(c)).
-32*c**4
Let z(r) = 31*r**2. Let f(d) = -3*d**2. Calculate f(z(a)).
-2883*a**4
Let i(k) = k + 0*k + 0*k. Let a(u) = u. Let h(o) = a(o) - 2*i(o). Let q(y) = y**2 + 0 + 0. Calculate h(q(l)).
-l**2
Let i(g) = g**2 - 2. Let p = -5 - -3. Let s(z) = 2*z**2 - 3. Let k(r) = p*s(r) + 3*i(r). Let v(b) = -3*b**2. What is v(k(w))?
-3*w**4
Let n(c) = -2*c. Suppose 0 = -f + 6*f + 15. Let d = 5 + f. Let h(s) = -d*s**2 + 3*s**2 + 2*s**2. Calculate h(n(l)).
12*l**2
Let t(l) = -l. Let k(p) = 2*p - 193. Give k(t(b)).
-2*b - 193
Let h(o) = -2*o. Let u(x) be the third derivative of -3*x**2 + 0*x + 0*x**3 + 5/24*x**4 + 0. Give h(u(g)).
-10*g
Let k(d) be the third derivative of 1/20*d**5 + 0*d**4 + 0*d**3 + 0 + 2*d**2 + 0*d. Let f(m) = -2*m. Determine k(f(y)).
12*y**2
Let d = -3 - -6. Let s(z) = -d + 0 + 3 - 2*z. Let l(j) be the second derivative of j**3/2 + j. Give s(l(u)).
-6*u
Let k(m) = 2*m - m - 5 + 5. Let d(w) = 7*w**2. Calculate k(d(q)).
7*q**2
Let y(x) = -53*x - 57*x + 109*x. Let g(o) = 27*o. What is g(y(h))?
-27*h
Let r(i) = -2*i**2. Suppose -c = -4*c - 12. Let k be c/(-4 - (-2 - 0)). Let g(v) = v**k + 29*v - 29*v. What is r(g(n))?
-2*n**4
Let g(l) = -l. Let v = -10 - -7. Let t = -1 - v. Let x(u) = -2*u**2 + 2*u - 2. Let d(y) = -4*y**2 + 5*y - 5. Let k(b) = t*d(b) - 5*x(b). Give g(k(h)).
-2*h**2
Let v(q) = 3 - 5 - 2*q + 4 + 0*q. Let r(s) = s**2 - 7*s + 7. Let k(y) = 2*r(y) - 7*v(y). Let t(x) = -x. Let l(n) = 8*n. Let j(w) = l(w) + 12*t(w). Give j(k(o)).
-8*o**2
Let f(z) = 2*z. Let m(c) = 3*c**2. Calculate m(f(k)).
12*k**2
Let g(z) = -2*z**2. Let b(v) = 10*v - 4*v + 7*v + 3*v. What is b(g(h))?
-32*h**2
Let d(v) = 10*v**2 - 78. Let j(n) = 2*n**2. Determine j(d(b)).
200*b**4 - 3120*b**2 + 12168
Let w(g) = -g**2. Let u(b) = 841*b**2. Calculate u(w(t)).
841*t**4
Let u(q) = 2*q. Let k(n) = 22*n**2. Calculate u(k(b)).
44*b**2
Let d(x) = -x. Let s(y) be the second derivative of 25*y**3/6 - 26*y. Determine d(s(p)).
-25*p
Let p(q) be the second derivative of 17*q**3/6 - 30*q. Let b(a) = a. Calculate b(p(u)).
17*u
Let n(c) = 6*c**2 - 59. Let j(t) = -t**2. What is n(j(o))?
6*o**4 - 59
Let w(q) = 2*q. Let j(o) be the second derivative of -2*o + 0*o**2 + 4/3*o**3 + 0. Calculate j(w(c)).
16*c
Let d(c) = -13*c. Let g(i) = 6*i**2. Calculate g(d(o)).
1014*o**2
Let r(v) = -20*v. Let f(w) = 2*w. Give r(f(j)).
-40*j
Let d(b) = 2*b - 1 + 1. Let t(z) be the first derivative of 2*z**3/3 + 10*z - 2. Let x(f) = 1. Let m(k) | {
"pile_set_name": "DM Mathematics"
} |
o the nearest integer?
2
What is the square root of 1188 to the nearest integer?
34
What is 1454 to the power of 1/7, to the nearest integer?
3
What is 13883 to the power of 1/3, to the nearest integer?
24
What is the cube root of 39987 to the nearest integer?
34
What is the square root of 28661 to the nearest integer?
169
What is the square root of 626 to the nearest integer?
25
What is 14447 to the power of 1/7, to the nearest integer?
4
What is 3471 to the power of 1/2, to the nearest integer?
59
What is 7965 to the power of 1/6, to the nearest integer?
4
What is the tenth root of 5739 to the nearest integer?
2
What is the square root of 3253 to the nearest integer?
57
What is the third root of 19672 to the nearest integer?
27
What is 16409 to the power of 1/2, to the nearest integer?
128
What is 10074 to the power of 1/6, to the nearest integer?
5
What is the tenth root of 4659 to the nearest integer?
2
What is the cube root of 739 to the nearest integer?
9
What is the eighth root of 804 to the nearest integer?
2
What is 688 to the power of 1/2, to the nearest integer?
26
What is the square root of 14330 to the nearest integer?
120
What is the cube root of 2430 to the nearest integer?
13
What is the third root of 54141 to the nearest integer?
38
What is 129 to the power of 1/10, to the nearest integer?
2
What is 3279 to the power of 1/2, to the nearest integer?
57
What is the tenth root of 2852 to the nearest integer?
2
What is the third root of 2353 to the nearest integer?
13
What is the third root of 9065 to the nearest integer?
21
What is 1243 to the power of 1/2, to the nearest integer?
35
What is the cube root of 188 to the nearest integer?
6
What is the cube root of 3040 to the nearest integer?
14
What is the third root of 2341 to the nearest integer?
13
What is 1278 to the power of 1/9, to the nearest integer?
2
What is the square root of 108159 to the nearest integer?
329
What is the fourth root of 7139 to the nearest integer?
9
What is the square root of 1184 to the nearest integer?
34
What is 1381 to the power of 1/2, to the nearest integer?
37
What is 1003 to the power of 1/2, to the nearest integer?
32
What is 18179 to the power of 1/3, to the nearest integer?
26
What is the square root of 1662 to the nearest integer?
41
What is the eighth root of 2359 to the nearest integer?
3
What is 4679 to the power of 1/2, to the nearest integer?
68
What is the square root of 5032 to the nearest integer?
71
What is the sixth root of 108130 to the nearest integer?
7
What is 3808 to the power of 1/2, to the nearest integer?
62
What is the square root of 48337 to the nearest integer?
220
What is 934 to the power of 1/2, to the nearest integer?
31
What is the square root of 244 to the nearest integer?
16
What is the square root of 8070 to the nearest integer?
90
What is the sixth root of 10403 to the nearest integer?
5
What is 17076 to the power of 1/2, to the nearest integer?
131
What is 12677 to the power of 1/4, to the nearest integer?
11
What is 40052 to the power of 1/3, to the nearest integer?
34
What is the third root of 268 to the nearest integer?
6
What is 38502 to the power of 1/4, to the nearest integer?
14
What is 3356 to the power of 1/2, to the nearest integer?
58
What is 30397 to the power of 1/6, to the nearest integer?
6
What is the eighth root of 52397 to the nearest integer?
4
What is the fifth root of 2804 to the nearest integer?
5
What is 7911 to the power of 1/4, to the nearest integer?
9
What is 6085 to the power of 1/2, to the nearest integer?
78
What is 5725 to the power of 1/9, to the nearest integer?
3
What is the cube root of 31570 to the nearest integer?
32
What is the fourth root of 31463 to the nearest integer?
13
What is the square root of 18447 to the nearest integer?
136
What is 9047 to the power of 1/2, to the nearest integer?
95
What is the cube root of 84023 to the nearest integer?
44
What is the ninth root of 513 to the nearest integer?
2
What is 5683 to the power of 1/2, to the nearest integer?
75
What is the square root of 85230 to the nearest integer?
292
What is the eighth root of 16690 to the nearest integer?
3
What is the tenth root of 159050 to the nearest integer?
3
What is 1753 to the power of 1/9, to the nearest integer?
2
What is 9282 to the power of 1/7, to the nearest integer?
4
What is the cube root of 611 to the nearest integer?
8
What is 972 to the power of 1/3, to the nearest integer?
10
What is 2645 to the power of 1/8, to the nearest integer?
3
What is 69009 to the power of 1/2, to the nearest integer?
263
What is the cube root of 1075 to the nearest integer?
10
What is the cube root of 593 to the nearest integer?
8
What is the square root of 1007 to the nearest integer?
32
What is the tenth root of 17355 to the nearest integer?
3
What is the third root of 1699 to the nearest integer?
12
What is the square root of 22641 to the nearest integer?
150
What is the square root of 3897 to the nearest integer?
62
What is the square root of 314 to the nearest integer?
18
What is 6670 to the power of 1/3, to the nearest integer?
19
What is 881 to the power of 1/6, to the nearest integer?
3
What is 54218 to the power of 1/2, to the nearest integer?
233
What is 544 to the power of 1/5, to the nearest integer?
4
What is 4838 to the power of 1/2, to the nearest integer?
70
What is the seventh root of 25874 to the nearest integer?
4
What is 24627 to the power of 1/2, to the nearest integer?
157
What is 1287 to the power of 1/8, to the nearest integer?
2
What is the tenth root of 71314 to the nearest integer?
3
What is the cube root of 866 to the nearest integer?
10
What is 4728 to the power of 1/2, to the nearest integer?
69
What is 120632 to the power of 1/3, to the nearest integer?
49
What is the tenth root of 806 to the nearest integer?
2
What is the fourth root of 16464 to the nearest integer?
11
What is the seventh root of 63268 to the nearest integer?
5
What is 9531 to the power of 1/8, to the nearest integer?
3
What is 3745 to the power of 1/10, to the nearest integer?
2
What is 2 to the power of 1/2, to the nearest integer?
1
What is the square root of 116 to the nearest integer?
11
What is 157032 to the power of 1/2, to the nearest integer?
396
What is 87 to the power of 1/10, to the nearest integer?
2
What is 5221 to the power of 1/10, to the nearest integer?
2
What is the tenth root of 14787 to the nearest integer?
3
What is the fourth root of 462 to the nearest integer?
5
What is 16152 to the power of 1/2, to the nearest integer?
127
What is the sixth root of 766 to the nearest integer?
3
What is the third root of 5167 to the nearest integer?
17
What is the square root of 4829 to the nearest integer?
69
What is 4991 to the power of 1/2, to the nearest integer?
71
What is the third root of 28639 to the nearest integer?
31
What is the third root of 9556 to the nearest integer?
21
What is 44872 to the power of 1/3, to the nearest integer?
36
What is the cube root of 37001 to the nearest integer?
33
What is the tenth root of 70597 to the nearest integer?
3
What is 844 to the power of 1/4, to the nearest integer?
5
What is 1559 to the power of 1/2, to the nearest integer?
39
What is the cube root of 34047 to the nearest integer?
32
What is 869 to the power of 1/2, to the nearest integer?
29
What is the seventh root of 8140 to the nearest integer?
4
What is the fourth root of 12765 to the nearest integer?
11
What is 52193 to the power of 1/10, to the nearest integer?
3
What is the eighth root of 44385 to the nearest integer?
4
What is the cube root of 21635 to the nearest integer?
28
What is the square root of 122891 to the nearest integer?
351
What is the fifth root of 3818 to the nearest integer?
5
What is 12226 to the power of 1/2, to the nearest integer?
111
What is 1038 to the power of 1/7, to the nearest integer?
3
What is the square root of 7836 to the nearest integer?
89
What is the seventh root of 73594 to the nearest integer?
5
What is the square root of 4180 to the nearest integer?
65
What is 2642 to the power of 1/3, to the nearest integer?
14
What is 998 to the power of 1/8, to the nearest integer?
2
What is the square root of 57488 to the nearest integer?
240
What is the cube r | {
"pile_set_name": "DM Mathematics"
} |
ive n*w(a) + 11*b(a).
-2*a + 1
Let w(b) = 50*b**2 + 35*b + 35. Let k(l) = 32*l - 25. Let c be k(-5). Let u = c - -150. Let j(v) = 3*v**2 + 2*v + 2. What is u*j(o) + 2*w(o)?
-5*o**2
Suppose 0*d = -3*d + 9. Suppose -2*u + 1 + 1 = 2*p, 0 = d*u - 5*p - 35. Let o(z) = z**2 - 4*z - 3. Let g(s) = s**2 - 5*s - 4. What is u*o(a) - 4*g(a)?
a**2 + 1
Suppose 682*i - 670*i = -12. Let n(q) = -7*q - 17. Let o(u) = u + 1. What is i*n(c) - 3*o(c)?
4*c + 14
Let c(i) = 2*i**3 + 8*i**2 - 6*i. Let s(n) = -n**3 - 3*n**2 + 2*n. Suppose 6*l - 3*l - 30 = 3*z, -4*z = 3*l - 37. Determine l*s(d) + 4*c(d).
-3*d**3 - d**2 - 2*d
Let b(d) = -7*d**2 + 1. Let x(y) be the second derivative of -7*y**4/4 + 3*y**2/2 + 7896*y. What is -11*b(u) + 4*x(u)?
-7*u**2 + 1
Let f(x) = 2*x**2 - 4*x - 1. Let o = 12847 + -12839. Let n(z) = -6*z**2 + 11*z + 2. Determine o*f(l) + 3*n(l).
-2*l**2 + l - 2
Let a(k) = -6*k**3 + 2*k**2 + 2*k. Let c be (-162)/39 + 4 + (-72)/39. Let x(s) = 3*s**2 + s**3 - s - 6*s**2 + s**2 + 1 + s**2. Give c*x(p) - a(p).
4*p**3 - 2
Suppose 8*b - 1350 = -b. Suppose 8*k = -2*k + b. Let p(n) = 6*n - 6. Let l(v) = -v + 1. Give k*l(y) + 2*p(y).
-3*y + 3
Let z(x) be the first derivative of 5*x**2/2 + 3*x + 532. Let v(c) = 1. Give 6*v(g) - z(g).
-5*g + 3
Let s(p) = 2*p + 1 - 8*p**2 - 8*p + 1 + p. Let o(y) be the third derivative of 17*y**5/60 + 11*y**4/24 - 5*y**3/6 + 117*y**2. Calculate -4*o(l) - 9*s(l).
4*l**2 + l + 2
Let o = 2774 + -2772. Let b(w) be the third derivative of -w**3/6 - 3*w**2. Let k(p) = -9*p**2 - 2. Give o*b(y) - k(y).
9*y**2
Let j(h) = 2*h + 2472. Let n(v) = -6*v - 7423. Give -8*j(m) - 3*n(m).
2*m + 2493
Let d(c) = 6*c**2 - 30*c + 23. Let k(i) = -18*i**2 + 91*i - 81. Give -7*d(v) - 2*k(v).
-6*v**2 + 28*v + 1
Let l(r) = -4*r**2 - 5*r + 2. Let m(h) = 3*h**2 + 34*h - 11 + 18*h**2 - 9*h. Let c(t) = 5*t**2 + 241*t + 284. Let f be c(-47). Calculate f*m(i) + 11*l(i).
-2*i**2 - 5*i
Let y(q) = -7*q - 4. Let w(k) = 35*k + 21. Suppose -53*x + 4*i = -48*x + 27, -3*x + 3*i = 12. Determine x*y(u) - 2*w(u).
7*u + 2
Let d(y) = y - 4. Let s be (-216)/(-6) - (-3 + 1). Let m = 33 - s. Let l(v) = -2. Give m*l(z) + 2*d(z).
2*z + 2
Let n(w) = 32*w**3 - 11*w**2 + 5*w - 7. Let d(t) = 16*t**3 - 6*t**2 + 3*t - 5. What is -5*d(s) + 3*n(s)?
16*s**3 - 3*s**2 + 4
Let m(q) = q**3 - q. Let s be (4/18*18/10)/((-11)/(-55)). Let i(j) = 9*j**3 + j**2 - 4*j. Calculate s*m(n) - i(n).
-7*n**3 - n**2 + 2*n
Suppose -3 = -a - 2*h + h, 5*a = -h + 11. Let n(p) be the second derivative of p**3 + 13*p**2 + 1820*p. Let k(m) = -m - 5. Give a*n(c) + 11*k(c).
c - 3
Let j(m) = -2*m + 1. Let w(h) be the second derivative of -1/2*h**3 - 7 + 7*h + h**2. What is 5*j(k) - 3*w(k)?
-k - 1
Let w be (-6)/63 + (-1138)/(-42). Let l be -11 - -8 - -1*w. Let c(t) = -6*t + 5. Let s(f) = 30*f - 24. Give l*c(j) + 5*s(j).
6*j
Let o(s) = 2*s**3. Let f(t) = -10*t**3 + 206*t. Give f(w) + 6*o(w).
2*w**3 + 206*w
Let n(s) = -553089*s. Let m(a) = 789*a. Determine 6312*m(p) + 9*n(p).
2367*p
Let d(l) = 6*l. Let n(o) = -11*o + 949 + 960 - 1908. What is -7*d(v) - 4*n(v)?
2*v - 4
Let l(u) = 4*u**2 + 21. Let p(a) = a**2 + 3. Let j(w) = -l(w) + 6*p(w). Let i(r) = -3*r**2 + 4. Let s be (-64)/(-24) + (-4)/(-3). Determine s*i(k) + 5*j(k).
-2*k**2 + 1
Let a(u) = u + 1. Suppose 5*b = 7*b - 6. Let p(k) = k + 0*k + k - b*k + 4. Suppose 3 = -4*z - 1. What is z*p(d) + 2*a(d)?
3*d - 2
Let r(k) = -2*k + 2. Let j(t) = 8*t**2 - 10*t + 77. Determine j(y) - 5*r(y).
8*y**2 + 67
Let d(g) = 3830*g + 1. Let l(h) = -3845*h - 2. What is 4*d(r) + 3*l(r)?
3785*r - 2
Let u(m) = 8383*m + 27. Let l(g) = -1676*g - 5. Determine 11*l(z) + 2*u(z).
-1670*z - 1
Let x(y) = -3*y**2 - y + 7. Let g(n) = -n**3 + 27*n**2 - 49*n - 21. Let i be g(25). Let k(z) = -i + 11 + 1 - 7. Give 6*k(q) - x(q).
3*q**2 + q - 1
Let l(k) = 16*k**3 + k**2 + 4*k + 15. Let x(s) = 17*s**3 + s**2 + 5*s + 15. Determine -4*l(c) + 3*x(c).
-13*c**3 - c**2 - c - 15
Let f(p) = 17*p - 6. Let o(q) = -6 - 6 + 0 + 7 + 16*q + 0. Give -2*f(y) + 3*o(y).
14*y - 3
Let m(r) = 229*r - 64713. Let a(k) = -51*k + 16178. Calculate 9*a(w) + 2*m(w).
-w + 16176
Suppose -134*u = -182*u + 288. Let k(h) = -3*h**3 - 5*h**2 - 7. Let a(v) = 4*v**3 + 6*v**2 + 8. Give u*a(w) + 7*k(w).
3*w**3 + w**2 - 1
Let p(k) = 44732*k - 96. Let n(c) = 11183*c - 25. Determine 23*n(l) - 6*p(l).
-11183*l + 1
Let r(w) = 16*w**3 - 5*w**2 - 58*w + 216. Let n(g) = -13*g**3 + 4*g**2 + 46*g - 217. Give -5*n(u) - 4*r(u).
u**3 + 2*u + 221
Let y(q) = q**2 - q. Let w(j) be the second derivative of j**3/2 + j**2 - 16*j + 70. Suppose d + 2*s = 1, d - s = -0*d - 2. Give d*w(o) - 3*y(o).
-3*o**2 - 2
Suppose 15*o + 103 - 523 = 0. Let d = o - 18. Suppose 0 = -d*q + 56 + 34. Let r(w) = 4*w - 1. Let a(k) = 17*k - 4. Give q*r(i) - 2*a(i).
2*i - 1
Let v(i) = 3*i - 7. Let j(z) = -28*z + 63. Let w(c) = -34*c + 77. Let r(h) = 6*j(h) - 5*w(h). What is -6*r(p) + 5*v(p)?
3*p + 7
Let n(q) = -154*q**2 + 8*q + 32. Let s(p) = 180*p**2 - 10*p - 31. Give -7*n(z) - 6*s(z).
-2*z**2 + 4*z - 38
Let n(f) = -45*f**2 + 676*f - 19. Let r be n(15). Let m(o) = -3*o**2 - 3*o + 1. Let t(j) = 7*j**2 + 7*j - 2. Calculate r*t(l) - 9*m(l).
-l**2 - l - 1
Suppose 0 = l + 35*l + 1008. Let q = l - -21. Let b(f) = -5*f + 1. Let d(m) = m**2 - 16*m + 4. What is q*b(k) + 2*d(k)?
2*k**2 + 3*k + 1
Let o(p) = -5*p**3 - 2*p + 1. Let j(w) = -9*w**3 - 3*w**2 - 8*w + 9. Let f(v) = j(v) - 3*o(v). Let u(b) = -b**3 + b**2 - 1. Determine f(x) + 4*u(x).
2*x**3 + x**2 - 2*x + 2
Let n(q) = -50896*q**2 + 25468*q**2 + 92 + 25459*q**2 + 155*q + 63. Let a(h) = h + 1. Determine -155*a(k) + n(k).
31*k**2
Let w(s) = -s**2 - 2*s + 9. Let l(y) = -14 + 20*y**2 - 11*y**2 - 3*y**2 - 8*y + y**3. Let t be l(-7). Let p(z) = z**2 + 3*z - 13. Calculate t*w(f) - 5*p(f).
2*f**2 - f + 2
Let f(y) = -4*y**2 - 5*y. Let s(j) be the first derivative of -j**4/4 - j**3/3 - j - 1861. Determine -f(w) + 2*s(w).
-2*w**3 + 2*w**2 + 5*w - 2
Let o(j) = -10*j - 16. Let c be o(-2). Suppose c*u + 3*x = -7, 0*u - x = 4*u + 5. Let l(b) = -b. Let d(w) = -1 + 0 - 2 + 4*w. Give u*d(h) - 3*l(h).
-h + 3
Let m(p) = -p. Suppose -3688 = -16*r - 3672. Let q(y) = 9*y. Give r*q(g) + 3*m(g).
6*g
Let z(h) = h**3 - 6*h**2 + 22*h. Let j(c) = -c**3 + 5*c**2 - 23*c. Let v(s) = -s**3 - 46*s**2 + 2*s + 98. Let x be v(-46). Give x*j(m) + 5*z(m).
-m**3 - 28*m
Let h(x) = 3 + x - 10 - 9 + 16. Let m(p) = p**2 + p. Calculate 3*h(n) - 4*m(n).
-4*n**2 - n
Let c(t) = -15*t + 7. Let z(s) = -7*s + 6 + s - 8*s. Let f be ((-18)/(-54))/((-1)/(0 - 21)). Calculate f*z(o) - 6*c(o).
-8*o
Let s(u) = -1051*u**2 + 22*u + 5. Let q(t) = -t**2 + 18*t + 3. Give -q(c) + s(c).
-1050*c**2 + 4*c + 2
Let r(s) = 2*s**3 - 15*s**2 + 2*s + 83. Let u(t) = -5*t**3 + 35*t**2 - 4*t - 167. Determine -9*r(l) - 4*u(l).
2*l**3 - 5*l**2 - 2*l - 79
Let d(g) = -16*g**2 - 4636*g - 5. Let m(u) = -38*u**2 - 11590*u - 12. What is -12*d(w) + 5*m(w)?
2*w**2 - 2318*w
Let k(v) = 7*v**3 - 6*v**2 + 6*v. Let n(p) = -p**3 + p**2 - p. Let c = -6938 - -6944. Determine c*n(h) + k(h).
h**3
Let j(p) = 9*p + 8. Suppose 309*m + 436 = 1981. Let h(y) = -8*y - 7. What is m*j(t) + 6*h(t)?
-3*t - 2
Let a(m) = -11*m. Let g(k) = 0*k - 2 + 78*k + 2. Let u = 73 + -109. What is u*a(d) - 5*g(d)?
6*d
Let z(o) = o**2 - 1. Let v(l) be the third derivative of 13*l**5/60 - l**3 - 95*l**2. Suppose 10*m + 28*m = -38. Determine m*v(r) + 6*z(r).
-7*r**2
Let g = 145 + -143. Let y be (g/6)/((-31)/(-15) - 2). Let s(u) = -3*u**3 + 7*u**2 - 9*u + 7. Let v(a) = 2*a**3 - 5*a**2 + 6*a - 5. Calculate y*s(z) + 7*v(z).
-z**3 - 3*z
Let z(i) = 8027*i - 169. Let k(r) = 8026*r - 112. Determine 3*k(n) - 2*z(n).
8024*n + 2
Let l(k) = -13*k - 857. Let x(p) = -17*p - 858. Calculate 5*l(s) - 4*x(s).
3*s - 853
Let o(t) = 115*t**2 - 21*t + 83. Let l(g) = -23*g**2 + 4*g - 17. Give 11*l(s) + 2*o(s).
-23*s**2 + 2*s - 21
Let p(w) = -5*w**2 - 3*w. Let r(n) be the second derivative of -n**4/12 + n**3/6 + n. Let q be 6723 + -6735 - (4/(-2) - (8 - -1)). Determine q*p(b) - 3*r(b).
8*b**2
Let h(b) be the third derivative of 1/6*b**4 + 5*b + b**3 - 11/60*b**5 - 3*b**2 + 0. Let r(u) = 5*u**2 - 2*u - 3. What is -4*h(l) - 9*r(l)?
-l**2 + 2*l + 3
Let h(z) = 10*z**3 - 65*z**2 - 65*z. Let p(i) = -i**3 + 6*i**2 + 6*i. Let a(u) = -u - 1. Let b be a(-12). Let x = 5 - b. Give x*h(r) - 65*p( | {
"pile_set_name": "DM Mathematics"
} |
5
1 times -3.2531038
-3.2531038
Calculate -238*114009.
-27134142
Work out 1072730 * 0.27.
289637.1
What is the product of -84372 and 1.1521?
-97204.9812
Work out 1187 * -3.3.
-3917.1
Product of -125 and 4.2395.
-529.9375
What is the product of 44315399 and 0.06?
2658923.94
What is the product of 4758466 and -3?
-14275398
Product of 0.0289693 and 0.64.
0.018540352
Calculate 6.35*-6.9125.
-43.894375
4*2791369
11165476
What is -5 times 37696192?
-188480960
-41.233937 times 0.07
-2.88637559
What is the product of -0.12921759 and -0.12?
0.0155061108
What is 814317.5 times -0.5?
-407158.75
Calculate 2*2896599.
5793198
What is the product of 1.4 and -23667575?
-33134605
Product of -39245 and 1525.5.
-59868247.5
Product of 0.13 and -201116.1.
-26145.093
What is the product of -111 and -13.7778?
1529.3358
Work out 0.02623 * -0.1934.
-0.005072882
-0.04183085 * -2
0.0836617
What is 880 times 6833?
6013040
-0.016 times 436204
-6979.264
Multiply -163182 and 938.
-153064716
2778274*1
2778274
Product of 60 and -409734.
-24584040
What is the product of 879497 and 0.95?
835522.15
-89354*0.0133
-1188.4082
-30506630*-2.3
70165249
Work out 1177079 * -0.01.
-11770.79
0.3 times 1358620
407586
181.9379 times -0.02
-3.638758
What is 1858279 times 1?
1858279
Product of -40.9 and -12654.
517548.6
Calculate -6229001*-0.8.
4983200.8
-243136666 * -1
243136666
Work out 5527005 * 0.18.
994860.9
Calculate 191020.7*14.
2674289.8
Product of 2.167825 and 276.
598.3197
Calculate 121*-0.264.
-31.944
Multiply 37549 and 0.5.
18774.5
What is the product of -10192845 and -0.3?
3057853.5
What is the product of 897 and -1174.9?
-1053885.3
-3.9 * 491844
-1918191.6
What is 1636018 times 0.9?
1472416.2
2417837 * -6
-14507022
Product of 31076.61 and -0.05.
-1553.8305
-539924 times 5
-2699620
Work out 53851.8 * 22.
1184739.6
What is -24 times 500596.6?
-12014318.4
What is the product of 1490803 and -5?
-7454015
What is the product of -0.3 and -922947?
276884.1
-1*-2847411
2847411
-33 * -3517603
116080899
Calculate 585353*2.18.
1276069.54
155.8*18.08
2816.864
17*-6.95889
-118.30113
Calculate -6*13826.931.
-82961.586
Product of 4 and 2967.178.
11868.712
What is the product of -198.5 and 3902.95?
-774735.575
Calculate 0.2441957*218.
53.2346626
What is -0.2 times -2.278435?
0.455687
0.3 * -2518628
-755588.4
4 * -5408252
-21633008
-3 * 114563681
-343691043
-0.25 times -185209
46302.25
What is 0.9 times -2036.6681?
-1833.00129
0.0684 * -2.17643
-0.148867812
2 * 4.07346
8.14692
Product of 33501 and -12.98.
-434842.98
7 * -149283.3
-1044983.1
756027 * -24
-18144648
1161779 * 0
0
Calculate 52*-107260.
-5577520
-824.5699 * -49
40403.9251
-2 * 307.1971
-614.3942
What is the product of -920 and 0.031852?
-29.30384
What is the product of 1 and -1401024?
-1401024
13091 * 207
2709837
Multiply 9.9 and 225172.
2229202.8
Product of -176004 and -14.
2464056
0.231 times -1.79092
-0.41370252
48.82*88019
4297087.58
Product of 55993 and 70.
3919510
Work out -0.0131214 * 5.12.
-0.067181568
Product of 339.88 and 37.7.
12813.476
Product of 50023 and 2553.
127708719
2299688*9
20697192
Work out 19.64058 * -18.2.
-357.458556
4*22028597
88114388
0.021118751 * 0.4
0.0084475004
What is -954.02 times 6201?
-5915878.02
1.62*0.0022232
0.003601584
What is the product of 332 and -962.646?
-319598.472
Calculate 44.4*-7803.
-346453.2
-2490394*0.004
-9961.576
Calculate 6187*0.1057.
653.9659
-1 times 0.481449
-0.481449
18135 times 507.3
9199885.5
What is 25 times 1835402?
45885050
20529068 * 0.3
6158720.4
768140 * -0.01
-7681.4
-193170.6 * 19
-3670241.4
Work out -1.25193731 * -0.4.
0.500774924
-5335.55 times 6
-32013.3
Product of 11.907 and 41.
488.187
656.04 times 16811
11028688.44
Multiply 12735 and -29.8.
-379503
Product of 0 and -158938.
0
What is the product of -477.28 and -8.56?
4085.5168
What is the product of 1 and -69.57417?
-69.57417
-0.3675 * -19118
7025.865
-0.87*-48.9825
42.614775
15541.886*-5
-77709.43
-219 * 127438
-27908922
-0.0830765 * 231
-19.1906715
What is the product of -0.06 and -22301853?
1338111.18
Multiply 2 and -155939.86.
-311879.72
Work out -5 * 7582706.1.
-37913530.5
Product of 19.6 and 0.2436691.
4.77591436
-10.88636 * 241
-2623.61276
What is the product of -4070210 and -2?
8140420
What is the product of -1.3 and 1817.029?
-2362.1377
What is 0.5 times 119171.52?
59585.76
What is 11624200 times 0.5?
5812100
Multiply -326286 and 6.9.
-2251373.4
-769 * 0.3552
-273.1488
6.845 * 0.1081
0.7399445
Calculate 16.584736*-0.4.
-6.6338944
Work out -0.02 * -3185959.
63719.18
Product of 3.14573 and -0.135.
-0.42467355
25633*-14174
-363322142
-53.3 * 341.79
-18217.407
What is 366 times -54842?
-20072172
Product of -2643312 and 0.4.
-1057324.8
Calculate 544*-62114.
-33790016
Product of 10779.705 and -5.
-53898.525
Multiply -83 and -73831.
6127973
129757.22 times 5
648786.1
-34350.5 * -3.6
123661.8
What is 0.84 times -3374.1?
-2834.244
Multiply -4179 and -3.741.
15633.639
0.083 * -375.199
-31.141517
Multiply 5.517 and 319.
1759.923
-3 times -5390003
16170009
Product of 3884 and -72.5.
-281590
Multiply 0.1 and -32605.
-3260.5
Multiply 0.9 and -1.250768.
-1.1256912
What is -0.016 times 284295?
-4548.72
-838098 times 6.47
-5422494.06
What is the product of 15583260 and -5?
-77916300
Multiply 0.68 and -59.622.
-40.54296
Product of -0.2 and -205501053.
41100210.6
26.62 * -0.2558
-6.809396
Work out -19 * 2273231.
-43191389
Multiply 0.4 and 8823071.4.
3529228.56
5*-4015337
-20076685
Product of 19.74705 and -2.
-39.4941
What is -192 times 121.791?
-23383.872
-1.049 times 1744
-1829.456
Product of -0.2851 and -4.4373.
1.26507423
Multiply -9.25228 and -0.79.
7.3093012
Calculate 879.812412*-2.
-1759.624824
Multiply 5629450 and 1.4.
7881230
Product of 164.079 and 2.267.
371.967093
286.273 * -301
-86168.173
Product of 1467.23504 and 0.5.
733.61752
Product of -953635 and 0.54.
-514962.9
838157 * 16
13410512
7 times 50.49448
353.46136
-1.1 * -30513207
33564527.7
Calculate 3220611*-12.
-38647332
What is the product of -0.1232336 and -80?
9.858688
What is 13 times -1958472?
-25460136
Product of 0.331 and -1.00845.
-0.33379695
3102578*0.195
605002.71
Work out -888450 * -26.7.
23721615
7037100 * -4.7
-33074370
What is the product of 116709 and -47.02?
-5487657.18
7705 times 11769
90680145
-11 * -7791604
85707644
Multiply 3 and -98695.67.
-296087.01
143.37752 * -2
-286.75504
169736 times 0.61
103538.96
Work out 625277 * -31.
-19383587
-77*77.282
-5950.714
Work out 221269 * -11.
-2433959
-1331.2177 * -0.1
133.12177
Work out -4 * -29419399.
117677596
18618 * 1468
27331224
Product of -0.3 and 64767306.
-19430191.8
Multiply -82 and 14.76.
-1210.32
Calculate 1472106*-996.
-1466217576
What is 421 times 159154?
67003834
Calculate 69273*-33.
-2286009
Work out 5 * 2754584.
13772920
0.06403154 times 13
0.83241002
0.29 times -34228746
-9926336.34
Multiply 0.09 and 51051.4.
4594.626
Work out 72.6 * 14820.
1075932
56655908 times -6
-339935448
-155 times -1284.78
199140.9
What is the product of 73108373 and 1?
73108373
Work out -51613627 * 2.
-103227254
358 * -1478
-529124
Product of 45.5883 and -1.6.
-72.94128
0.5 * -0.0420583
-0.02102915
0.0492 times -4094.8
-201.46416
Product of 0.2429 and 39882.
9687.3378
Calculate 0.107*1893.98.
202.65586
Multiply 83 and -0.03775.
-3.13325
215 * 1754
377110
-0.18609 * 261
-48.56949
14*62.9167
880.8338
Multiply -20.04 and 3755.
-75250.2
6508*-305
-1984940
Product of 1496 and 10.654.
15938.384
0.187 times -1.8944
-0.3542528
What is -0.5 times -356480.7?
178240.35
What is the product of 0.0577088 and 10?
0.577088
16680172 times 3
50040516
What is 27013.37 times -12?
-324160.44
What is the product of -0.19 and 4125257?
-783798.83
Work out -4794831 * 5.
-23974155
Product of 14 and 2063004.8.
28882067.2
What is 0.12938 times -9.25?
-1.196765
1.0472*-4.4867
-4.69847224
Product of -4 and 4550205.
-18200820
-1750 times -1545.4
2704450
What is the product of -158370781 and 5?
-791853905
44094 * 166.8
7354879.2
Product of 0.4 and -10558284.
-4223313.6
Work out -3.1195 * -1051.
3278.5945
Product of -2337.2 and -173.
404335.6
26964.9 * -0.16
-4314.384
-0.219*-0.0679839
0.0148884741
-30.13462 * -7
210.94234
Calculate 8807*-11164.
-98321348
Multiply 6543893 and 5.
32719465
Calculate -3.3*2.112204.
-6.9702732
What is the pr | {
"pile_set_name": "DM Mathematics"
} |
, -43808233, -58410967, -73013699?
-87616429
What is the next term in 5453368, 5453376, 5453390, 5453410?
5453436
What comes next: 12120, -4635, -21390, -38145?
-54900
What is the next term in 1260075, 1260152, 1260353, 1260738, 1261367, 1262300, 1263597, 1265318?
1267523
What comes next: -121511810, -121511812, -121511814, -121511816, -121511818, -121511820?
-121511822
What is the next term in -47419, -379983, -1282657, -3040495, -5938551, -10261879, -16295533?
-24324567
What is the next term in -80739902, -161479804, -242219706, -322959608?
-403699510
What is next in 3991, 7778, 11371, 14770?
17975
What comes next: 16733, 66951, 150659, 267857, 418545?
602723
What is next in -27855, -55393, -82933, -110475?
-138019
What comes next: 736, 1045, 1124, 859, 136, -1159?
-3140
What comes next: 1782, 2508, 3262, 4044, 4854, 5692, 6558?
7452
What is the next term in 41867, 39192, 36527, 33878, 31251, 28652, 26087?
23562
What is the next term in -13998, -15888, -17778, -19668, -21558, -23448?
-25338
What is the next term in 24195, 96757, 217699, 387021, 604723?
870805
What is next in -21723535, -21723582, -21723627, -21723670, -21723711, -21723750, -21723787?
-21723822
What comes next: -68473, -137044, -205615, -274186?
-342757
What is the next term in 10990, 22070, 33150?
44230
What comes next: -943713, -943738, -943763?
-943788
What is the next term in 310959, 310770, 310581?
310392
What is the next term in 21268847, 85075391, 191419631, 340301567, 531721199, 765678527, 1042173551?
1361206271
What is next in -7211583, -7211584, -7211587, -7211592, -7211599, -7211608, -7211619?
-7211632
What comes next: 1072, 7291, 24166, 57025, 111196?
192007
What is the next term in 7073, 28187, 63371, 112625, 175949, 253343, 344807?
450341
What comes next: 2621, 5706, 9263, 13292, 17793?
22766
What is the next term in 1172063, 1172054, 1172045, 1172036, 1172027, 1172018?
1172009
What comes next: 20790021, 41580041, 62370061, 83160081?
103950101
What comes next: 22850, 29923, 36998, 44075, 51154?
58235
What is the next term in 218173, 218809, 219445?
220081
What comes next: -63835, -63743, -63591, -63379?
-63107
What is next in -95340, -95358, -95388, -95430, -95484, -95550, -95628?
-95718
What is the next term in 26372975, 26372973, 26372971, 26372969, 26372967?
26372965
What comes next: 140722, 140696, 140634, 140518, 140330, 140052, 139666?
139154
What comes next: -25856, -25895, -25952, -26027, -26120?
-26231
What comes next: -4379678, -4379686, -4379704, -4379738, -4379794, -4379878, -4379996?
-4380154
What is the next term in 6346, 48024, 160348, 378640, 738222?
1274416
What is the next term in 65332736, 65332744, 65332752, 65332760?
65332768
What is next in -194119, -774997, -1743127, -3098509, -4841143, -6971029?
-9488167
What is the next term in -77681, -155439, -233365, -311543, -390057, -468991, -548429?
-628455
What comes next: -1480016, -2960028, -4440040?
-5920052
What is the next term in 85684, 169637, 253590, 337543, 421496?
505449
What comes next: -69617, -139247, -208935, -278711, -348605?
-418647
What is the next term in -98166, -392657, -883466, -1570593, -2454038, -3533801, -4809882?
-6282281
What is next in -820016, -3279864, -7379542, -13119050, -20498388, -29517556, -40176554?
-52475382
What comes next: -1360384, -1360465, -1360546, -1360627, -1360708, -1360789?
-1360870
What comes next: 23965823, 23965835, 23965837, 23965823, 23965787, 23965723?
23965625
What is next in 83418595, 83418594, 83418593, 83418592, 83418591?
83418590
What comes next: -86, -492, -1234, -2366, -3942?
-6016
What is next in 423228, 423209, 423182, 423147, 423104, 423053?
422994
What is next in -24126, -22349, -20572, -18795?
-17018
What is the next term in -28688, -28907, -29102, -29267, -29396, -29483?
-29522
What is next in 198293, 793172, 1784639, 3172694, 4957337, 7138568?
9716387
What comes next: 108, 863, 2154, 3975, 6320, 9183, 12558?
16439
What is the next term in -9751, -39300, -88687, -158026, -247431, -357016, -486895?
-637182
What is the next term in -9584638, -9584653, -9584686, -9584743, -9584830, -9584953?
-9585118
What is next in -2728, -2746, -2792, -2866, -2968?
-3098
What comes next: 2357, 1984, 1611?
1238
What comes next: 4871089, 4871017, 4870945?
4870873
What is next in -233617, -233598, -233579, -233560, -233541?
-233522
What is the next term in 18496, 35338, 52180?
69022
What is the next term in -5799451, -11598875, -17398301, -23197729?
-28997159
What is the next term in 2997, 11386, 25171, 44364, 68977, 99022?
134511
What is next in -2048781, -2048799, -2048823, -2048859, -2048913?
-2048991
What is the next term in 11311, 16545, 21779, 27013, 32247?
37481
What is the next term in 2955440, 2955583, 2955726, 2955869?
2956012
What is next in 711, 5247, 17513, 41367, 80667, 139271, 221037, 329823?
469487
What comes next: -1989469, -1989470, -1989471, -1989472?
-1989473
What is the next term in 255038, 255153, 255258, 255347, 255414, 255453, 255458?
255423
What comes next: 26285, 105552, 237341, 421388, 657429, 945200?
1284437
What comes next: 830956021, 830956022, 830956023, 830956024?
830956025
What comes next: -1308, -2832, -4202, -5340, -6168, -6608?
-6582
What comes next: -75670181, -151340383, -227010587, -302680793, -378351001?
-454021211
What comes next: -30857061, -61714123, -92571185, -123428247, -154285309?
-185142371
What is the next term in 47403, 189689, 426825, 758805, 1185623, 1707273, 2323749, 3035045?
3841155
What is the next term in -35248, -142416, -321030, -571090?
-892596
What comes next: -148124, -148166, -148208, -148250, -148292, -148334?
-148376
What is the next term in -1068285, -1067526, -1066253, -1064460, -1062141, -1059290, -1055901, -1051968?
-1047485
What is the next term in 908, 1860, 2874, 3980, 5208, 6588?
8150
What comes next: 7071010, 7070966, 7070920, 7070872?
7070822
What is the next term in 311289, 312247, 313205, 314163, 315121, 316079?
317037
What is next in 560067, 1120146, 1680225, 2240304?
2800383
What comes next: 12376260, 24752482, 37128692, 49504884, 61881052, 74257190, 86633292, 99009352?
111385364
What is the next term in -20047725, -40095457, -60143189, -80190921, -100238653?
-120286385
What is the next term in -407, -3076, -10327, -24452, -47743?
-82492
What is the next term in 46642, 93274, 139868, 186394, 232822, 279122, 325264, 371218?
416954
What comes next: -251541, -1008304, -2269575, -4035354, -6305641?
-9080436
What comes next: -40131, -321081, -1083633, -2568573, -5016687?
-8668761
What comes next: 156931, 157138, 157431, 157852, 158443?
159246
What is the next term in 9869386, 9869385, 9869384?
9869383
What is next in -1779, -14175, -47809, -113301, -221271, -382339, -607125?
-906249
What is the next term in 444, 1970, 6246, 14688, 28712, 49734, 79170, 118436?
168948
What comes next: 15379, 30717, 45985, 61141, 76143, 90949?
105517
What is next in -51791, -60014, -68237, -76460, -84683, -92906?
-101129
What is next in -29847, -119410, -268683, -477666, -746359, -1074762, -1462875?
-1910698
What is next in -568128, -568129, -568124, -568107, -568072, -568013, -567924, -567799?
-567632
What is next in 4727, 18658, 41827, 74234, 115879?
166762
What is the next term in -50203616, -100407221, -150610814, -200814395, -251017964, -301221521, -351425066?
-401628599
What is next in 1739615746, 1739615745, 1739615744, 1739615743?
1739615742
What is next in -27798, -111222, -250276, -444960, -695274?
-1001218
What is next in -272828, -545666, -818506, -1091348, -1364192, -1637038, -1909886?
-2182736
What is the next term in 752379, 1504767, 2257155, 3009543, 3761931?
4514319
What comes next: -12571248, -12571254, -12571260?
-12571266
What is the next term in 2045, 500, -3691, -11848, -25291, -45340, -73315?
-110536
What is the next term in -4411363, -4411364, -4411365, -4411366, -4411367, -4411368?
-4411369
What comes next: -3374, -6572, -9450, -11852, -13622?
-14604
What comes next: -13678589, -27357181, -41035773, -54714365, -68392957?
-82071549
What is next in -108021, -108148, -108275, -108402, -108529, -108656?
-108783
What comes next: -1176, -4716, -10524, -18522, -28632, -40776, -54876?
-70854
What comes next: 67736, 270648, 608842, 1082324, 1691100?
2435176
What is the next term in | {
"pile_set_name": "DM Mathematics"
} |
y 777.
746
What is the remainder when 143835 is divided by 35956?
11
What is the remainder when 34038 is divided by 296?
294
Calculate the remainder when 15007 is divided by 112.
111
Calculate the remainder when 37265 is divided by 303.
299
Calculate the remainder when 5206 is divided by 1590.
436
Calculate the remainder when 13335 is divided by 830.
55
What is the remainder when 252122 is divided by 252119?
3
Calculate the remainder when 74350 is divided by 14861.
45
What is the remainder when 1057 is divided by 437?
183
Calculate the remainder when 2644991 is divided by 287.
286
Calculate the remainder when 112190 is divided by 838.
736
What is the remainder when 11706 is divided by 1070?
1006
What is the remainder when 129423 is divided by 11?
8
Calculate the remainder when 1268084 is divided by 181.
179
What is the remainder when 4183 is divided by 40?
23
What is the remainder when 5940 is divided by 691?
412
What is the remainder when 1257 is divided by 6?
3
What is the remainder when 45143 is divided by 1256?
1183
What is the remainder when 243085 is divided by 49?
45
What is the remainder when 216802 is divided by 14?
12
What is the remainder when 12761 is divided by 111?
107
What is the remainder when 569 is divided by 34?
25
Calculate the remainder when 3365 is divided by 416.
37
Calculate the remainder when 982 is divided by 364.
254
What is the remainder when 1598327 is divided by 49?
45
What is the remainder when 5149 is divided by 206?
205
Calculate the remainder when 1206617 is divided by 29.
14
What is the remainder when 11803 is divided by 420?
43
What is the remainder when 2446 is divided by 2444?
2
What is the remainder when 3382 is divided by 417?
46
What is the remainder when 25527 is divided by 392?
47
What is the remainder when 51386 is divided by 140?
6
What is the remainder when 5015 is divided by 84?
59
Calculate the remainder when 1984 is divided by 151.
21
What is the remainder when 8479 is divided by 185?
154
What is the remainder when 149638 is divided by 49878?
4
Calculate the remainder when 2717 is divided by 106.
67
What is the remainder when 2567 is divided by 215?
202
Calculate the remainder when 812 is divided by 511.
301
What is the remainder when 14152 is divided by 1761?
64
What is the remainder when 231690 is divided by 1609?
1603
Calculate the remainder when 161969 is divided by 30.
29
Calculate the remainder when 1888 is divided by 501.
385
What is the remainder when 1615 is divided by 467?
214
What is the remainder when 84043 is divided by 2401?
8
What is the remainder when 1971 is divided by 8?
3
Calculate the remainder when 545899 is divided by 408.
403
What is the remainder when 1090 is divided by 157?
148
Calculate the remainder when 9950 is divided by 263.
219
Calculate the remainder when 67859 is divided by 22616.
11
What is the remainder when 337669 is divided by 9?
7
Calculate the remainder when 12872 is divided by 4258.
98
What is the remainder when 13744 is divided by 1716?
16
Calculate the remainder when 33401 is divided by 92.
5
What is the remainder when 37824 is divided by 81?
78
Calculate the remainder when 633 is divided by 63.
3
Calculate the remainder when 3405 is divided by 1482.
441
Calculate the remainder when 9638 is divided by 567.
566
What is the remainder when 648 is divided by 92?
4
What is the remainder when 28394 is divided by 715?
509
Calculate the remainder when 8012 is divided by 24.
20
What is the remainder when 344661 is divided by 351?
330
Calculate the remainder when 27967 is divided by 38.
37
What is the remainder when 94981 is divided by 103?
15
Calculate the remainder when 1662 is divided by 338.
310
What is the remainder when 236158 is divided by 1243?
1231
Calculate the remainder when 3968 is divided by 26.
16
What is the remainder when 1910 is divided by 149?
122
What is the remainder when 81410 is divided by 20315?
150
What is the remainder when 239641 is divided by 724?
721
Calculate the remainder when 321077 is divided by 10.
7
Calculate the remainder when 53430 is divided by 292.
286
Calculate the remainder when 1458719 is divided by 90.
89
Calculate the remainder when 3826 is divided by 639.
631
Calculate the remainder when 64450 is divided by 74.
70
What is the remainder when 25406 is divided by 250?
156
Calculate the remainder when 651128 is divided by 190.
188
Calculate the remainder when 2198729 is divided by 30.
29
What is the remainder when 153428 is divided by 335?
333
Calculate the remainder when 7947 is divided by 1584.
27
Calculate the remainder when 5953 is divided by 36.
13
Calculate the remainder when 49552 is divided by 1377.
1357
Calculate the remainder when 397717 is divided by 40.
37
What is the remainder when 12775 is divided by 394?
167
What is the remainder when 109208 is divided by 12131?
29
Calculate the remainder when 81961 is divided by 31.
28
What is the remainder when 475 is divided by 418?
57
Calculate the remainder when 42107 is divided by 69.
17
What is the remainder when 46138 is divided by 652?
498
What is the remainder when 1602 is divided by 1371?
231
Calculate the remainder when 583568 is divided by 25.
18
What is the remainder when 46844 is divided by 118?
116
What is the remainder when 15152 is divided by 250?
152
Calculate the remainder when 9295 is divided by 542.
81
Calculate the remainder when 2818321 is divided by 21.
16
What is the remainder when 93583 is divided by 3011?
242
Calculate the remainder when 28659 is divided by 5731.
4
Calculate the remainder when 10341 is divided by 59.
16
What is the remainder when 76264 is divided by 54?
16
What is the remainder when 79250 is divided by 26407?
29
What is the remainder when 605 is divided by 383?
222
What is the remainder when 89088 is divided by 41?
36
Calculate the remainder when 281 is divided by 15.
11
Calculate the remainder when 3397 is divided by 127.
95
What is the remainder when 56756 is divided by 121?
7
What is the remainder when 9915 is divided by 455?
360
Calculate the remainder when 12254 is divided by 1748.
18
What is the remainder when 1435 is divided by 66?
49
What is the remainder when 216410 is divided by 1016?
2
What is the remainder when 183161 is divided by 267?
266
Calculate the remainder when 223590 is divided by 74529.
3
What is the remainder when 94847 is divided by 589?
18
Calculate the remainder when 1568 is divided by 264.
248
Calculate the remainder when 609 is divided by 599.
10
What is the remainder when 4132 is divided by 88?
84
What is the remainder when 49616 is divided by 49589?
27
What is the remainder when 693254 is divided by 15?
14
What is the remainder when 668 is divided by 59?
19
Calculate the remainder when 9205 is divided by 815.
240
Calculate the remainder when 649214 is divided by 64.
62
Calculate the remainder when 330940 is divided by 4189.
9
What is the remainder when 7282 is divided by 17?
6
Calculate the remainder when 744 is divided by 338.
68
Calculate the remainder when 4128 is divided by 4062.
66
What is the remainder when 3052 is divided by 303?
22
What is the remainder when 18544 is divided by 33?
31
What is the remainder when 45423 is divided by 3781?
51
What is the remainder when 194577 is divided by 200?
177
Calculate the remainder when 1074 is divided by 871.
203
What is the remainder when 59939 is divided by 97?
90
Calculate the remainder when 46283 is divided by 11560.
43
Calculate the remainder when 4569 is divided by 124.
105
Calculate the remainder when 42665 is divided by 405.
140
What is the remainder when 10717 is divided by 62?
53
Calculate the remainder when 1653 is divided by 1486.
167
What is the remainder when 76055 is divided by 25349?
8
Calculate the remainder when 4052 is divided by 1113.
713
Calculate the remainder when 164829 is divided by 10.
9
Calculate the remainder when 214418 is divided by 8.
2
What is the remainder when 20188 is divided by 77?
14
Calculate the remainder when 27750 is divided by 117.
21
Calculate the remainder when 93560 is divided by 31168.
56
Calculate the remainder when 28439 is divided by 224.
215
What is the remainder when 13585 is divided by 122?
43
What is the remainder when 2007 is divided by 10?
7
What is the remainder when 1408 is divided by 688?
32
Wha | {
"pile_set_name": "DM Mathematics"
} |
20 = i. Let a = -8 - -6. Let j be -2 + 2 - (a - 42). What is the highest common divisor of j and i?
4
Let s = 2 - -1. Let d be s + -2 + 25 + -2. Let l = -40 - -100. What is the greatest common divisor of d and l?
12
Let z = 45 + -33. What is the highest common divisor of z and 24?
12
Let x be ((-3)/9)/(1/(-3)). Suppose 4 = 4*q - 2*q. Suppose 2 = q*s - 2. Calculate the highest common factor of x and s.
1
Let p(k) = -k**3 + 4*k**2. Let t be p(4). Suppose t*z - 20 = -2*z. Calculate the greatest common factor of z and 20.
10
Let v be 2/(-3) + 392/(-6). Let l(g) = -2*g - 3. Let z be l(-11). Let o = z - v. What is the highest common factor of o and 34?
17
Let v be (-3)/9 - 29/3. Let x = v + 23. Calculate the greatest common factor of x and 143.
13
Suppose 5*z = -5*o + 68 + 82, -4*o - 5*z + 125 = 0. What is the greatest common divisor of o and 25?
25
Suppose 0*s + 104 = s - 4*d, -5*s + 2*d + 448 = 0. Calculate the highest common factor of 8 and s.
8
Suppose s = 5*u + 3, 0*s - 9 = -3*s - 3*u. Suppose s*q = 4*q - 2. What is the greatest common factor of q and 2?
2
Let r(o) = -5*o**2 + 39*o + 11. Let q(f) = 2*f**2 - 13*f - 4. Let x(v) = 11*q(v) + 4*r(v). Let t be x(-10). Calculate the greatest common factor of t and 10.
10
Let v = 18 - 4. Let b = v - -8. Calculate the greatest common divisor of 33 and b.
11
Let b be 3 - 8/2 - -32. What is the highest common divisor of b and 124?
31
Suppose 0 = -3*f - 2 + 20. Let i = 21 - 15. Calculate the greatest common factor of f and i.
6
Suppose -272 = -4*y + 2*y. Let n = 8 + -13. Let z = n - -22. Calculate the highest common divisor of y and z.
17
Suppose -163 + 55 = -g. Calculate the highest common divisor of 18 and g.
18
Let o(r) = r**3 + 12*r**2 + 10*r + 6. Let t be o(-11). Let g = t + 19. What is the highest common factor of 9 and g?
9
Let n = 145 + -97. Calculate the greatest common divisor of n and 12.
12
Suppose 31 + 32 = 7*v. What is the greatest common factor of 63 and v?
9
Let h = 17 - 6. Calculate the greatest common divisor of h and 22.
11
Suppose 5*d = 8*d - 42. What is the greatest common factor of d and 98?
14
Let z(b) = -136*b + 4. Let x be z(-1). Calculate the highest common factor of x and 20.
20
Let g(x) = -49*x + 2. Let b be g(-2). Let q(m) = 2*m**2 - m - 5. Let l be q(5). What is the greatest common factor of b and l?
20
Suppose r - 42 = -0*r. Calculate the highest common divisor of r and 21.
21
Suppose 64 = 4*r - 0*r. Suppose 4*n + r = 0, 0*y + 3*n = y - 35. Suppose -3*v = -y - 19. What is the highest common divisor of v and 112?
14
Let s(z) = -49*z**3 + 2*z - 1. Let w be s(1). Let h = w + 80. Let i be 1/(1/(-1))*-8. What is the highest common factor of h and i?
8
Let x(u) = u**3 - 2*u**2 - 2*u - 2. Let v be x(3). Let c be 88*(7/4 - v). Let t be (-80)/(-14) - (-2)/7. What is the highest common divisor of t and c?
6
Suppose 0 = -3*p - 4*w + 239, -4*w + 3 - 19 = 0. What is the greatest common divisor of p and 34?
17
Suppose 2*z = -3*z + 120. What is the highest common factor of 48 and z?
24
Let i = -6 - -11. Suppose 5*s + 73 = i*a - 7, a + 5*s - 28 = 0. Let v = 355 - 229. Calculate the highest common factor of v and a.
18
Suppose 8*p - 13*p + 360 = 0. Calculate the greatest common factor of 18 and p.
18
Suppose -8*o = -6*o - 242. What is the highest common factor of o and 11?
11
Let b(g) be the third derivative of g**6/120 - g**5/15 + 7*g**4/24 - g**3/3 - 3*g**2. Let n be b(6). Calculate the greatest common factor of n and 14.
14
Suppose 0*k - 20 = -4*k. Suppose 2*c - 460 = -2*c. Suppose 0 = 5*x + 5*o - c, -2*x + 0*x + o = -37. Calculate the highest common factor of k and x.
5
Let s(u) = 2*u - 5. Let j be s(4). Let t(h) = -h**3 + 7*h**2 + h - 5. Let c be t(j). What is the greatest common divisor of c and 85?
17
Let z = -28 + 44. Let k(d) = d**2 - d + 6. Let j be k(7). Calculate the greatest common divisor of j and z.
16
Suppose 507 = -0*r + 3*r - 5*n, 2*r - 3*n = 339. Let o be 9/(-21) - r/(-14). Calculate the greatest common factor of 84 and o.
12
Suppose 5*u + 4*w = 220, 5*u - 223 = 2*w - 3. Let v(d) = -d**3 + 7*d**2 + 10*d - 4. Let a = 1 - -6. Let i be v(a). What is the highest common factor of i and u?
22
Suppose 822 = 4*z - 0*z + 5*l, 2*z + 2*l - 412 = 0. What is the greatest common divisor of 26 and z?
26
Let p(t) = 10*t + 7. Let g be p(3). Calculate the greatest common divisor of g and 148.
37
Let s be (-1)/(-2 + 0)*6. Let h(d) = 13*d**2 + 4. Let b be h(s). What is the highest common divisor of b and 11?
11
Let k = -162 + 232. Calculate the highest common factor of k and 10.
10
Suppose -24*b = -26*b + 144. What is the greatest common divisor of b and 18?
18
Let k = 228 + -103. Suppose -7*f + 2*f = -5, -5*f - k = -5*w. Calculate the highest common divisor of 26 and w.
26
Suppose 0 = -5*i - 7*t + 4*t + 24, -i - 4*t + 15 = 0. Suppose -m = -k - 22, 0 = 2*m - 5*m - i*k + 78. What is the greatest common divisor of m and 36?
12
Let y be 4/(-14) + (-1104)/(-42). What is the highest common factor of 65 and y?
13
Suppose -4*c = -6*c + 4. Let t(n) = -n**2 - 3*n - 6. Let b be t(6). Let f be ((-12)/(-5))/((-9)/b). What is the greatest common divisor of f and c?
2
Let l be (63 - 0) + (6 - 5). Let a = l + -31. Calculate the highest common factor of 3 and a.
3
Let g be -24*(-2 - 3/12). Calculate the greatest common divisor of 6 and g.
6
Let w(a) = a**3 + 4*a**2 + a + 1. Let u be w(-3). What is the highest common divisor of u and 56?
7
Suppose h = 5*h - 20, 13 = r - h. Calculate the highest common divisor of r and 6.
6
Suppose 0 = 5*o - 2*h + 28, -3*h = -0*o - 5*o - 32. Let r = o + 7. Suppose -t + r + 12 = 0. Calculate the highest common factor of t and 3.
3
Let y(n) = -9*n - 9. Let p be y(-7). Calculate the greatest common divisor of p and 18.
18
Let m = -23 - -34. What is the highest common divisor of 55 and m?
11
Suppose -4*u = u - 5400. Let h be ((-1)/(-2))/(3/u). Suppose 2*i - 3*w = -0*w + 124, 0 = -3*i + 3*w + h. What is the highest common factor of i and 8?
8
Let x(c) = -c**3 - 3*c**2 + 7*c - 1. Let o be x(-5). What is the greatest common factor of 56 and o?
14
Let f = -12 + 23. Suppose 48 + 304 = 4*i. Suppose -4 = -r, 3*r - 276 + i = -2*p. Calculate the highest common divisor of f and p.
11
Suppose 0*v - 225 = -5*a + v, 4*a = 4*v + 164. Suppose 0 = 5*b - f - 233 - a, -5*f = -3*b + 185. What is the highest common factor of 11 and b?
11
Let b(n) = 50*n**3. Let k be b(1). Let h be ((-4)/(-3))/((-1)/(-15)). What is the highest common factor of h and k?
10
Suppose 3*i - 78 = -3*i. Calculate the highest common divisor of 195 and i.
13
Let l(k) = -3*k + 4. Let h be l(-2). Let v = -104 - -174. Calculate the highest common factor of v and h.
10
Let a be 1/6 - 3269/(-42). Suppose a = 3*t - 3*p - 0*p, 5*p - 68 = -4*t. What is the highest common factor of t and 2?
2
Suppose 4*h = 3*t - 62, 3*t - 7 = h + 40. What is the highest common factor of t and 70?
14
Suppose 0 = q - 22 - 60. Suppose 3*j - q = -19. What is the highest common divisor of j and 14?
7
Suppose r - 115 = -4*r. Suppose 4*p = 33 + r. What is the greatest common factor of 126 and p?
14
Suppose -2*w - 5*z - 307 = -5*w, -190 = -2*w - 4*z. Calculate the highest common divisor of 11 and w.
11
Let x(b) = -b**3 + 3*b**2 + 4. Let d be x(3). Let y be 25 + (3 - 1 - -1). What is the highest common divisor of y and d?
4
Let t be (83/(-2))/((-1)/(-4)). Let y be 2/(216/109 + -2). Let a = y - t. Calculate the greatest common divisor of 38 and a.
19
Suppose 84 + 87 = 9*v. Calculate the highest common divisor of 209 and v.
19
Suppose -4*u - 2 = -62. Suppose 2*n + n = -i + 8, i = 3*n - 10. Suppose 159 = n*j + 24. Calculate the greatest common divisor of j and u.
15
Suppose 2*z + 2*z = 128. Calculate the greatest common factor of z and 4.
4
Let a = -7 + 11. Let v be (0/(-2) - 1)/(1 - 2). What is the greatest common divisor of v and a?
1
Suppose -12 = -0*s - 4*s. Let m be 75/12 - (-3)/(-12). Calculate the greatest common factor of s and m.
3
Let i = 77 + -44. Calculate the highest common factor of 165 and i.
33
Let c be ((-348)/10)/(6/(-20)). What is the greatest common divisor of c and 29?
29
Suppose 4*d + 167 = 787. What is the greatest common factor of d and 62?
31
Suppose 2*h - 20 = y, 3*h = y - 0*y + 30. Let n be (112/(-20))/((-4)/h). Calculate the highes | {
"pile_set_name": "DM Mathematics"
} |
f p**6/360 + 11*p**5/60 + 157*p**4/36 + 112*p**3/3 + 13*p**2 - 221*p. Factor n(q).
(q + 3)*(q + 14)*(q + 16)/3
Let t be -15*42/(-63)*20/1. Suppose -5*u + 2 = -8. Factor 4 + 0*r**2 + r**u + 205*r - t*r.
(r + 1)*(r + 4)
Factor -3*a + 27/4 + 1/4*a**2.
(a - 9)*(a - 3)/4
Let k(n) be the second derivative of -n**4/48 + 7*n**3/12 - 49*n**2/8 - 1778*n. Factor k(o).
-(o - 7)**2/4
Let x(o) be the third derivative of -o**5/270 - 1571*o**4/108 + 716*o**2. Factor x(m).
-2*m*(m + 1571)/9
Let i be 2/7*-3*(-42)/9. Suppose -28 = -v - 3*x, v + i*x = 5*v - 48. Find w, given that -14*w**3 - v*w**3 + 32*w**3 - 2*w**4 = 0.
0, 1
Determine v so that v**3 - 135439*v**2 - 191539751 - 4*v**3 + 3827432 + 131866*v**2 - 1418481*v = 0.
-397
Let c(k) = -k**2 + 7*k - 10. Let l be c(3). Find f such that -3*f**3 - 787*f**2 + 403*f**l + 414*f**2 = 0.
0, 10
Let y(x) = -5*x**2 + 3*x + 2. Let b(r) = 36*r**2 - 2539*r + 1585067. Let o(j) = -3*b(j) - 21*y(j). Solve o(d) = 0 for d.
1259
Let x be (-11)/33 + (-21)/(-9). Determine k, given that -k - 24*k - 2*k**x + 2*k**2 + 6 + 3*k**2 + 4*k**3 = 0.
-3, 1/4, 2
Let c be ((-1717)/(-187) - 7) + (-4)/22. Factor 15/4*b + 7/4 - 7/2*b**3 - 9/4*b**4 - 1/4*b**5 + 1/2*b**c.
-(b - 1)*(b + 1)**3*(b + 7)/4
Let f(s) = -4*s + 52. Let p(q) = -q + 17. Let z(b) = -2*f(b) + 7*p(b). Let l be z(-13). Let -2/5*y + 0 - 14/5*y**l = 0. Calculate y.
-1/7, 0
Let h = 6963/2 - 3480. Let s(i) be the first derivative of 16/9*i**3 - 16/15*i**5 - h*i**4 + 5/9*i**6 - 2 + 4/3*i**2 + 0*i. Let s(x) = 0. Calculate x.
-1, -2/5, 0, 1, 2
Suppose -140*p = -139*p - 126. What is k in -462 - 13*k - 77*k - 5*k**2 + p - 69 = 0?
-9
Let f(o) be the third derivative of -o**5/75 + 317*o**4/10 + 1904*o**3/15 + 8815*o**2. Find p such that f(p) = 0.
-1, 952
Let c(h) = 7*h**2 - 5*h - 898. Let b(y) = 155*y**2 - 110*y - 19750. Let l(d) = 2*b(d) - 45*c(d). Factor l(n).
-5*(n - 14)*(n + 13)
Factor -362*i - 515*i + 776*i + 101*i**3 + 99*i**2 + i**4 - 100.
(i - 1)*(i + 1)**2*(i + 100)
Let -19 - 2748*o**2 - 37 - 62*o + 2807*o**2 - 7*o**3 = 0. What is o?
-4/7, 2, 7
Suppose -t - 46 + 94 = 4*x, 3*x - 36 = t. Factor 2/3*y**4 + 8/3*y**3 + 0*y + t + 2*y**2.
2*y**2*(y + 1)*(y + 3)/3
Let s(x) be the first derivative of x**4/12 - 769*x**3/3 + 591361*x**2/2 - 454756609*x/3 - 1902. Factor s(r).
(r - 769)**3/3
Let g(w) = -7*w**3 - 19*w**2 - 2*w + 19. Suppose -23*s - 140 = -33*s. Let y(o) = 32*o**3 + 94*o**2 + 10*o - 94. Let m(z) = s*g(z) + 3*y(z). Factor m(v).
-2*(v - 8)*(v - 1)*(v + 1)
What is r in 0 - 12*r - 4*r**4 + 4*r**2 + 1/3*r**5 + 35/3*r**3 = 0?
-1, 0, 1, 6
Suppose 0*w**2 + 149/3*w**4 + 0*w + 0*w**3 + 0 - 1/3*w**5 = 0. Calculate w.
0, 149
Let a = 24125 + -603109/25. Let g(n) be the first derivative of -6/5*n - a*n**5 - 17/5*n**2 - 36 - 27/10*n**4 - 22/5*n**3. Suppose g(w) = 0. What is w?
-1, -3/8
Let p(d) be the first derivative of -d**6/2 + 3*d**5/5 + 15*d**4/2 - 4*d**3 - 36*d**2 - 1672. Determine n, given that p(n) = 0.
-2, 0, 2, 3
Let n(p) be the third derivative of -2*p**7/315 + 59*p**6/360 - 257*p**5/180 + 67*p**4/18 + 14*p**3/3 - 10273*p**2. Solve n(q) = 0 for q.
-1/4, 2, 6, 7
Suppose 110*s - 115*s = 5*u + 45, 5*u = -55. Solve -2/5*j**s + 6*j + 32/5 = 0 for j.
-1, 16
Let c(v) be the third derivative of v**5/510 + 37*v**4/68 - 826*v**3/51 - 5*v**2 - 2*v - 227. Suppose c(k) = 0. Calculate k.
-118, 7
Let s(v) be the first derivative of 62/5*v - 2/15*v**3 + 6*v**2 - 91. Determine y, given that s(y) = 0.
-1, 31
Let h = 6 - 2. Let w(l) = -169*l - 1519. Let i be w(-9). Solve 54*o**2 - 8*o - 14*o**i - 20*o**3 + 72*o**5 - 132*o**h - 4 + 52*o**3 = 0 for o.
-1/3, 1/2, 1
Suppose 37*o - 212 = -131*o + 124. Factor -1/5*s + 0 - 16/5*s**o.
-s*(16*s + 1)/5
Let i(j) be the second derivative of -j**7/63 + 4*j**6/45 + j**5/6 - 10*j**4/9 - 4*j**3/9 + 16*j**2/3 + 4085*j. Solve i(q) = 0.
-2, -1, 1, 2, 4
Find n, given that 208/9 + 2/9*n**2 + 20/3*n = 0.
-26, -4
Let x = -1006446/11 - -7516373/77. Let g = 6133 - x. Factor -27/7*r**5 + 1/7 + 81/7*r**4 - 11/7*r - g*r**3 + 46/7*r**2.
-(r - 1)**2*(3*r - 1)**3/7
Let c(l) be the third derivative of -l**7/105 - 3*l**6/40 + 23*l**5/60 + l**4 - 21*l**2. Let j(n) = -n**3 + n**2. Let s(y) = 2*c(y) - 14*j(y). Factor s(q).
-4*q*(q - 3)*(q + 2)**2
Let y = 2/467173 + 5606066/2335865. Factor 0 - 1/5*a**2 - y*a.
-a*(a + 12)/5
Let u(r) be the second derivative of 44*r**3 - 9 + 3/100*r**5 + 726/5*r**2 - 43/20*r**4 - r. Factor u(b).
3*(b - 22)**2*(b + 1)/5
Factor 37260*h**3 + 320*h + 3710*h**2 + 2450*h**2 - 426566*h**5 + 328151*h**5 + 54675*h**4.
-5*h*(h - 1)*(27*h + 4)**3
Let q(p) = -7*p**3 + 138*p**2 - 483*p + 475. Let f(b) = -3*b**3 + 68*b**2 - 242*b + 238. Let z(l) = -5*f(l) + 2*q(l). Factor z(n).
(n - 60)*(n - 2)**2
Let i(g) be the second derivative of g**6/15 - 73*g**4/6 + 24*g**3 + 2896*g. Factor i(x).
2*x*(x - 8)*(x - 1)*(x + 9)
Let r(f) = 13*f + 720. Let w be r(-55). Let l(s) be the first derivative of 3/5*s + w + 4/15*s**3 + 13/10*s**2. Factor l(k).
(k + 3)*(4*k + 1)/5
Let k(o) = -o**3 + 26*o**2 - 52*o + 100. Let i be k(24). Let p(b) be the second derivative of 0*b**2 - 1/5*b**3 + 1/20*b**i + 26*b + 0. Factor p(v).
3*v*(v - 2)/5
Determine q so that -18/13 - 6/13*q**2 - 56/13*q = 0.
-9, -1/3
Let f(y) be the second derivative of -y**6/6 - 13*y**5/4 + 335*y**4/12 - 115*y**3/6 - 255*y**2 - 56*y. What is g in f(g) = 0?
-17, -1, 2, 3
Factor -114 - 225/2*l**2 - 3/4*l**3 + 909/4*l.
-3*(l - 1)**2*(l + 152)/4
Let u(j) be the first derivative of -2/15*j**5 - 26/3*j - 87 - 4*j**2 + 28/9*j**3 + 2*j**4. Let u(y) = 0. What is y?
-1, 1, 13
Let s be 5 - (8 + (-7610)/2530). Let z = s + 751/1012. Determine l so that -15/4*l + 3*l**2 - z*l**3 + 3/2 = 0.
1, 2
Let h be (-8 + 1)*2*(-2)/4. Suppose 0 = -0*s - 5*s. Factor 2*c**3 + 5*c - h*c + s*c.
2*c*(c - 1)*(c + 1)
Let y(s) = s**3 - 16*s**2 + 30*s - 8. Let f be y(14). Suppose -3*i**3 - 21*i**2 - 3*i**4 + 1727*i - 1736*i + f*i**3 = 0. What is i?
-1/3, 0, 3
Let k(y) be the second derivative of y**4/60 + 29*y**3/30 - 31*y**2/5 - 248*y. Let k(q) = 0. What is q?
-31, 2
Let v(q) be the third derivative of 1/10*q**6 + 0 + 109/72*q**4 + 53*q - 1/2*q**3 - 28/15*q**5 - q**2. Factor v(i).
(i - 9)*(6*i - 1)**2/3
Let p = 3567 - 3565. Let j(r) be the third derivative of 0 + 1/160*r**5 + 0*r**4 + 1/960*r**6 + 9*r**p + 0*r + 0*r**3. Let j(q) = 0. What is q?
-3, 0
Let t(x) = -9*x**3 + 1512*x**2 + 3023*x + 1518. Let n(o) = 10*o**3 - 1515*o**2 - 3025*o - 1520. Let s(d) = 4*n(d) + 5*t(d). Factor s(j).
-5*(j - 302)*(j + 1)**2
Let y(g) be the first derivative of 4*g**5/5 + 58*g**4 + 1348*g**3/3 - 29232*g**2 + 254016*g + 1953. Suppose y(t) = 0. Calculate t.
-36, 7
Let v(n) = -20*n**4 - 40*n**3 - 35*n**2 - 10*n - 30. Let j(b) = 11*b**4 + 20*b**3 + 17*b**2 + 6*b + 18. Let k(o) = 5*j(o) + 3*v(o). Solve k(l) = 0 for l.
-2, 0
Find c, given that -6*c**4 + 16918*c**3 + 378*c + 647*c - 15996*c**3 - 1200 - 3324*c**2 + 2583*c = 0.
2/3, 1, 2, 150
Let i(g) be the second derivative of -g**6/810 + g**4/54 - 7*g**3/2 - g**2/2 - 25*g. Let q(l) be the second derivative of i(l). Find s, given that q(s) = 0.
-1, 1
Let d = 40 + 11. Let w = d + -52. Let r(f) = f**5 - f**4 + f + 1. Let x(u) = -3*u**5 + 4*u**4 + 2*u**3 - 4*u**2 - 3*u. Let b(j) = w*x(j) - 2*r(j). Factor b(y).
(y - 2)*(y - 1)**2*(y + 1)**2
Let z(r) be the first derivative of 2/17*r**2 - 40 - 2/51*r**3 + 6/17*r. What is d in z(d) = 0?
-1, 3
Let b(i) = -i - 46. Let o(u) = -47. Let w(n) = -3*b(n) + 4*o(n). Let q be w(20). What is y in 12 - 18*y**2 + 21*y**2 + 9*y - 14*y - q*y = 0?
1, 4
Suppose 992 - 172 = 22*z + 142*z. Let x(q) be the first derivative of -4/5*q**z - 4/3*q**2 - 13/6*q**4 - 18 - 1/9*q**6 + 0*q - 8/3*q**3. Factor x(n).
-2*n*(n + 1)**2*(n + 2)**2/3
Let l(w) be the third derivative of w**8/7560 + w**7/3780 - w**6/1620 - w**5/540 - 7*w**3/3 - 68*w**2. Let u(f) be the first derivative of l(f). Factor u(m).
2*m*(m - 1)*(m + 1)**2/9
Let o(l) be the third derivative of l**6/200 + 19*l**5/25 - 6529*l**2. Factor o(k).
3*k**2*(k + 76)/5
Let r = -392806 + 2749646/7. Find x such that -4/7*x**4 - 2/7*x**5 - 2*x - r*x**2 + 8/7 + 16/7*x**3 = 0.
-4, -1, 1
Let w(q) be the third derivative of q**6/24 - 11*q**5/12 - 5*q**4/24 + 55*q**3/6 - 1795*q**2. Suppose w(v) = 0. Calculate v.
-1, 1, 11
Let z be 128/20 - 2 - (-4)/(-10). Factor 11952*b** | {
"pile_set_name": "DM Mathematics"
} |
+ 0*r + c = 0. Is r composite?
False
Let x(k) = 2*k - 4. Let g be x(4). Suppose -t + 3*l - g + 8 = 0, t = -4*l + 11. Suppose -3*u = -t*u + 172. Is u a composite number?
False
Let v = 5 + -3. Let t(a) = -10*a**3 + 2*a**2 - 4*a + 1. Let i(l) = -9*l**3 + 2*l**2 - 5*l. Let y(o) = v*i(o) - 3*t(o). Is y(2) prime?
True
Let l be (-15)/(-10) + (-1553)/(-2). Suppose -a + 3*d = -152, 2*a - 7*a + l = 3*d. Is a a prime number?
False
Let f(s) = -6*s - 5. Is f(-6) prime?
True
Let z(k) = k + 97. Is z(0) composite?
False
Is (-62)/(3 + (-35)/11) prime?
False
Let g be (-1)/((-31)/10 - -3). Suppose -6*p = -g*p - 12. Is (-3)/(p/(-61))*-2 a prime number?
False
Let t(m) = -14*m**3 - 2*m**2 + 2*m - 1. Let z be t(1). Let j = -115 - -169. Let s = j + z. Is s prime?
False
Let k be -2 + 3/2*2. Let x be (21/(-6)*-2)/k. Is 438/14 + (-2)/x composite?
False
Let w = 301 + -140. Is w prime?
False
Let i be (-140)/21*3/(-2). Is 14/35 + 216/i a prime number?
False
Suppose 0 = -3*g - 2*g + 290. Is g prime?
False
Let j = 49 - 27. Is j a prime number?
False
Let o(g) = -205*g**3 - g**2 + g - 4. Let v(k) = 410*k**3 + 2*k**2 - 3*k + 9. Let l(j) = 7*o(j) + 3*v(j). Is l(-1) a composite number?
True
Suppose -5*a - 12 = 8, 3*a = 5*l - 16117. Suppose -4*g = -5*s + l, s - 676 = 2*g - 27. Is s prime?
True
Let c(b) = 10*b**2 - 7. Is c(6) composite?
False
Let f(d) = d**3 + 30*d**2 + 28*d + 22. Is f(-21) a composite number?
True
Let j(r) = -171*r**3 + 3*r**2 + r - 4. Is j(-3) composite?
False
Suppose -5*k = -11 - 104. Let z = k + 26. Is z composite?
True
Let t(f) = -3*f. Suppose -7*j + 2*j - 5 = 0. Let d be t(j). Suppose 0 = -5*s - 2*y + 711, 2*y = -d*y + 15. Is s composite?
True
Suppose -8*z + 9 = -5*z. Suppose z*f - 179 - 178 = 0. Is f a composite number?
True
Suppose -21*i + 18*i = -1029. Let h = i + -106. Is h prime?
False
Let p = 13211 + -5218. Is p a prime number?
True
Is 142/14 + (-8)/56 a prime number?
False
Suppose -10 = -4*l - 2. Suppose 0 = r + 5*p + 139, -r = l*r - 5*p + 457. Let m = -72 - r. Is m composite?
True
Let a(v) = -v**3 + 127. Is a(0) composite?
False
Let t(j) = -j**3 - 4*j**2 + 2*j + 2*j**3 + 2 + 1 + 0*j. Is t(4) a prime number?
True
Let s = 12 + 120. Suppose s = h + 2*h. Is h/6 - 1/3 prime?
True
Suppose -4*q - 3524 = 5*m - 334, 3*q = -3*m - 2394. Let p = q + 1237. Is p prime?
False
Suppose -6*m = -5*m - 207. Let p = m + -38. Is p prime?
False
Let u(s) = 9*s**2 - 4*s - 2. Suppose 28 = 4*j + d, 11 = 4*j + 3*d - 9. Let i = -11 + j. Is u(i) a prime number?
False
Let d(w) be the second derivative of w**3/6 - w**2 + w. Let r be d(6). Suppose 149 = r*k - 63. Is k a prime number?
True
Let h(f) = 13*f + 1754. Is h(0) a prime number?
False
Is 1842 + -1 + (4 - 4) a prime number?
False
Is 1/((-9267)/(-13887) + 6/(-9)) a prime number?
True
Let z = 271 - 150. Is z composite?
True
Let s(j) = 32*j + 6. Let m be s(6). Let c = m + -130. Suppose -4*u + 32 + c = 0. Is u a prime number?
False
Let n(b) = 42*b - 7. Is n(5) a composite number?
True
Let g be (76/10)/((-3)/(-45)). Let h = g - 63. Is h a composite number?
True
Let i = 2402 + -1341. Is i a composite number?
False
Suppose -z + 955 = 4*z. Is z composite?
False
Suppose -4*t + 802 + 378 = 0. Is t composite?
True
Let m = 183 + -114. Is m prime?
False
Suppose -2*m = -9 - 11. Let r be (-4)/m + 1246/(-35). Let o = r + 121. Is o a composite number?
True
Let y = 1756 - 642. Is y a composite number?
True
Suppose 5*s + 9 = 4*j - 9, j - 6 = 2*s. Is 28/j*22/4 composite?
True
Suppose k + 3*k + 8 = 0. Let t be 95/k - 3/(-2). Let o = t - -81. Is o a prime number?
False
Suppose 3*s + 110 = 3*a + 2*a, a - 2*s - 29 = 0. Is a composite?
False
Let v = 41 - -55. Suppose -99 = -3*i + v. Is i composite?
True
Let j(u) = u**3 - 12*u**2 + u + 12. Suppose -3*t + 36 = -0*t. Let l be j(t). Suppose 113 = d + l. Is d a composite number?
False
Let p be (0 - -3)*(-8)/6. Let t be 2 - (p - 0) - 2. Suppose -3*a = 15, -a = d - t*d + 68. Is d a prime number?
False
Let p = 792 + -559. Is p a composite number?
False
Let c = -303 - -620. Is c prime?
True
Suppose -3*g = -3*o + 14 - 473, 158 = g + 4*o. Let a = -5 + g. Is a composite?
False
Let h(g) = 6*g**3 - 2*g**2 + 1. Let q be h(1). Suppose -52 = -2*w - q*t + 75, -5*t = -2*w + 157. Is w prime?
True
Is ((-3)/(-6))/((-3)/(-2958)) a composite number?
True
Let v be 4/(-2) - 0/(-4). Let h(c) = 2*c**2 + 2*c. Let b be h(v). Suppose b = -3*l + 73. Is l a composite number?
False
Suppose 4*j + 81 = -3*o, -2*o + 18 = -4*j - 68. Is (-3)/((-1)/(j/(-9))) prime?
True
Let o(u) = 18*u**3 + 7*u**2 - 3. Let y(p) = 6*p**3 + 2*p**2 - 1. Let b(w) = 4*o(w) - 14*y(w). Let x be b(-2). Let r = -65 + x. Is r a composite number?
True
Suppose 3*o + 0*i - 775 = 4*i, 5*i + 1033 = 4*o. Is o a composite number?
False
Let q = -27 + 37. Is q prime?
False
Let r(g) be the third derivative of -5*g**4/24 + 2*g**3/3 - g**2. Let a be 5/1*36/(-60). Is r(a) composite?
False
Let h = 1116 - 425. Is h composite?
False
Suppose a - 5 - 14 = 2*n, 0 = 3*a - 2*n - 37. Suppose w - 10 = 2*r, 24 - a = -3*w - 3*r. Suppose w = -p - g + 124, 4*p - 3*g - 475 = -0*p. Is p composite?
True
Let i(s) = 5*s + 43. Let h(w) = w. Let o(j) = -6*h(j) + i(j). Is o(0) a composite number?
False
Suppose 4*z = 3*z + 142. Suppose -174 = -2*q - j, -5*j + z - 37 = q. Is q composite?
True
Is 20/30 + 1982/6 composite?
False
Let s(q) = 1. Let a(t) = -12*t + 6. Let y(v) = a(v) - 5*s(v). Is y(-3) a composite number?
False
Is (-145)/20*212*-1 a prime number?
False
Let w(q) = -48*q - 1. Suppose 4*t = 7*t. Let b = -2 + t. Is w(b) prime?
False
Suppose 11*p = 21*p - 2530. Is p a composite number?
True
Let t(z) = 4*z**3 - 3*z**2 - z + 2. Let b be t(6). Let l = b - 447. Is l prime?
False
Let m(i) = -i - 15. Let n be m(-9). Is n/(-30) - (-768)/10 prime?
False
Let l = 32 + 137. Is l prime?
False
Let k(o) = 1. Let x(b) = -b**2 + 18*b - 1. Let t(w) = 3*k(w) - x(w). Let i(q) = -q**2 + 17*q - 3. Let m(n) = 6*i(n) + 5*t(n). Is m(8) a composite number?
True
Let m(v) = 3*v - 1. Let t be m(7). Is (-1272)/(-10) - 4/t a prime number?
True
Suppose -4*r = r - 10. Suppose -4*l + 399 = -3*v - 4, 4*l - 378 = -r*v. Is l a composite number?
False
Let w = -6 + 8. Suppose -5*f = -2*f + 4*h - 17, -f = w*h - 7. Is f prime?
True
Let m(x) = -x**3 - x**2 + 2*x. Let a be m(3). Let w be ((-4)/8)/(1/a). Is (-10)/w - (-94)/6 a composite number?
True
Suppose 2*c - 11 = -5*i, -3*c = -3*i + c + 17. Suppose n + i*p = 23, 4*n - 86 = -p + 6. Is n composite?
False
Let x = -52 + 29. Let t = 45 + x. Is t composite?
True
Suppose 0 = h + 3*a - 4169, -3*a - 16728 = -4*h - 2*a. Is h a composite number?
True
Suppose 5*s + 3*l - 1270 = -315, -s = -4*l - 191. Is s prime?
True
Suppose -3*x + 197 + 142 = 0. Is x a prime number?
True
Suppose -2*a - 5*t + 2257 = 0, -a + 601 = -4*t - 560. Is a prime?
False
Let a(f) = -24*f - 1. Let s(k) = k**3 + 16*k**2 + 17*k + 22. Let c be s(-15). Is a(c) a composite number?
False
Let g = -7 - -404. Is g a composite number?
False
Suppose 1364 = 5*w - w - 2*o, -3*w - 5*o = -1023. Is w a composite number?
True
Let n be -1*(-6)/(-3)*-1. Suppose 0 = n*r + 5*l - 94, 0*r - l - 232 = -4*r. Is r prime?
False
Let g(r) = -8*r + 7. Let v(l) = -4*l + 3. Let h(c) = -2*g(c) + 5*v(c). Let d be h(-3). Let u = d - 2. Is u prime?
True
Suppose -7612 = -4*q + 4864. Is q prime?
True
Suppose k + k - 10 = 0, 3*b + 3*k = 618. Suppose g = -0*g + b. Is g a composite number?
True
Suppose 2*b = -2*r + 34, -4*r - 39 = 3*b - 108. Let u = r + 4. Is u a composite number?
True
Suppose 4*b = -b + 2*t + 182, 2*b = -5*t + 67. Let o be (4/(-3))/(((-15)/9)/5). Suppose 0*u - 18 = -2*v - 5*u, 0 = 2*v - o*u - b. Is v composite?
True
Is 6/(-12) - 598/(-4) a composite number?
False
Let n(d) be the first derivative of -2 - 1/2*d**2 + 82*d. Is n(0) a composite number?
True
Let w(j) = 44*j**2 + j + 12. Is w(5) a composite number?
False
Let k = 217 - 144. Suppose 101 + k = 2*b. Is b a prime number?
False
Suppose 0*r + 2*r = 0. Suppose 3*o + o - 16 = r. Let i = o - -3. Is i a composite number?
False
Suppose 2*v + y - 254 = 0, 67 - 575 = -4*v - 3*y. Is v a prime number?
True
Let b = 888 - 149. Is b a composite number?
False
Suppose 6 = -2*t, 18 = 3*k - 5*t + 2*t. Suppose k - 2 = 3*n - g, -5*n - 5*g = -35. Let a = n + 75. Is a a prime number?
False
Let z(k) = k**2 - 2*k | {
"pile_set_name": "DM Mathematics"
} |
7*q - 34 in the form g + t*q and give t.
9
Express l**2 + 2*l + 0*l**2 - 4*l + (-4 + 0 + 5)*(-3 + 3 + 2*l**2) - 5 - 5*l**2 + 5 - 4*l**2 + 6*l**2 - l**2 as u + m*l**2 + d*l and give d.
-2
Rearrange -4*j**4 - 1137 + 2*j**3 + 37*j + 1138 + 2*j**4 to v*j**4 + r + i*j**2 + y*j + k*j**3 and give v.
-2
Express -3 + 4*s - 69*s + 1 as o*s + x and give o.
-65
Rearrange (-2*p + p + 2*p + (5*p - 3*p + 0*p)*(-16 - 1 + 3))*(2 - 2 + 2) to d*p + f and give d.
-54
Rearrange (-2*x + 4*x - 4*x + (3 - 3 - x)*(2 - 5 + 2))*(-5 + 6 + 12) to l + w*x and give w.
-13
Express -22*w - 14*w - 7*w - 33*w in the form p*w + q and give p.
-76
Rearrange 0*w**3 + 188 - 2*w**4 - 180 - 2*w**3 to l*w**4 + d*w**2 + q*w + g + n*w**3 and give n.
-2
Rearrange (2*i + i - i)*((-2 + 2 - 2*i)*(-6*i + 2*i + 3*i) - 557*i - 14*i**2 + 557*i) to t + o*i**3 + g*i + f*i**2 and give o.
-24
Express -2*k**2 - k - 261 + 17*k**4 + 261 in the form j + i*k**2 + n*k**4 + s*k**3 + c*k and give c.
-1
Express (3*d - 3*d + 2*d**2)*(2 - 2 + d) - 2*d**3 + d**3 + 0*d**3 - 91*d**2 + 157*d**3 + 43*d**2 + 48*d**2 as j*d**3 + y*d**2 + a*d + t and give j.
158
Rearrange -4*t**4 - 2196*t**2 - 17*t + 2195*t**2 + t**4 to q*t**3 + g*t**2 + c + h*t**4 + z*t and give g.
-1
Rearrange 3*j**2 - 8*j**2 + 3*j - 7*j**2 - j to h*j**2 + c + s*j and give s.
2
Rearrange 21*x - 5*x - 6*x to the form r*x + o and give r.
10
Rearrange (0 + 3 + 3)*(1 + 7*p + 2 - 1) to j + h*p and give h.
42
Express -2*k**4 + 24*k**3 - 4*k**2 + 3*k**2 - 27*k**3 + k as f*k**2 + y*k**3 + b*k + g*k**4 + l and give b.
1
Express 2 + a**2 + a**2 + 3*a**2 in the form i*a**2 + z*a + l and give i.
5
Rearrange 5*k - 4*k**2 - 5*k - 3*k**2 to b + w*k + z*k**2 and give z.
-7
Express -6*g**2 - 4 + 1 + 4 + 4*g**2 in the form u*g + k + a*g**2 and give k.
1
Rearrange 130*n**2 - 16 + 6 - 126*n**2 + (-3*n + n + 0*n)*((2*n - 3*n + 0*n)*(0 - 2 + 3) + 2*n + 0*n - 3*n) to the form d*n**2 + g*n + w and give d.
8
Express x**2 + x**4 - 4*x**3 - 9*x**3 + 13*x**3 + 1 as z*x**3 + y + m*x**4 + q*x**2 + o*x and give q.
1
Express -10*k - k + 10*k - 9*k - 1 as f*k + z and give z.
-1
Rearrange (-3 + 3 - 2*q**2)*(-10 + 1 + 2)*(7 - 2 - 4) to j*q**2 + h*q + w and give j.
14
Express 28*y**3 - 2*y**4 - 28*y**3 - y**2 - 11*y as w*y**2 + j*y**4 + t*y**3 + l*y + o and give j.
-2
Express -12*x - 25 + 9*x + 0*x**3 + 2*x**3 + 4*x as k + c*x + m*x**3 + l*x**2 and give c.
1
Rearrange -16*c**2 + 45*c**2 - 18 + 19 to the form w*c**2 + u + r*c and give w.
29
Rearrange 3*s - 3*s - 12*s**2 + (-5 - 2*s + 5)*(s + s - s) to the form m*s**2 + f + l*s and give f.
0
Rearrange 0*n**2 - 1 - 3*n**3 - n + 5*n**3 - 11*n**2 to the form a*n**2 + y*n**3 + l*n + r and give a.
-11
Express -4*t**3 + 2*t**3 + 4*t**3 + (2 + 3*t - 2)*(3*t**2 - 2*t**2 + 0*t**2) - 3*t**3 + 5*t**3 - t**3 as r*t**2 + s*t**3 + o*t + g and give s.
6
Express -54*j + 33 + 28 - 18*j - 59 in the form k*j + n and give n.
2
Express (2*p + 3*p + 3*p)*(-1 + 2 + 1 - 3*p) in the form v*p + q + n*p**2 and give n.
-24
Express 2 + 2*n**3 + 6*n - 2 + (-4*n + 2*n + 4*n)*(-3*n + 2*n**2 + 3*n) as w + j*n**3 + x*n**2 + d*n and give d.
6
Rearrange -3*z**2 + 2*z - z**2 - 1 - 2*z - 2*z - 2*z**4 to the form j + t*z**4 + c*z**3 + q*z + y*z**2 and give q.
-2
Express (-2*b - 4*b + 5*b)*(182*b - 219*b - 420*b) as u + q*b + h*b**2 and give h.
457
Express 5*q**3 + 49 + q**3 - 7*q**3 in the form g + h*q**2 + d*q**3 + b*q and give g.
49
Express (-12 + 8 - 13)*(3 - 2 + 2)*(2*j - 3*j + 3*j) in the form w*j + l and give l.
0
Express (0*x - x + 0*x)*(-18 + 4 + 3 + (3 + 1 - 3)*(3 - 2 + 1)) as q*x + t and give q.
9
Rearrange -3 - 11*n + 3 + (-3 + 0 + 2)*(0 - 2*n + 0) - n + 0*n + 3*n to the form w*n + x and give w.
-7
Express 4*h + 3*h + 14*h as y*h + x and give y.
21
Rearrange (-31 - 9 - 12)*(a**2 - 2*a + 2*a) to the form m*a + s + b*a**2 and give b.
-52
Express -143*f + 143*f - 4 - 2*f**3 as s + q*f**3 + a*f**2 + h*f and give q.
-2
Rearrange (-4*k**3 + 2*k**3 + k**3)*(22 - 6 + 5)*(-1 + 2 + 0) to h*k + d + z*k**3 + y*k**2 and give z.
-21
Express -3 - 2*m**4 - 5 - m + 6 - 2*m**3 + 6*m in the form p*m + d*m**2 + g*m**4 + j + f*m**3 and give j.
-2
Rearrange 157*r - 157*r + 41*r**2 - 2 to u*r**2 + w*r + q and give q.
-2
Rearrange -3*c**2 - 2 + 1 + 1 + 3*c**3 to n*c**2 + i*c**3 + l*c + y and give n.
-3
Express 6*r**2 - 12*r**2 - 6*r**2 + 2*r + 2 - 1 as q*r + l + h*r**2 and give h.
-12
Express 3*l**3 + 2*l**2 + l**3 - 3*l**2 + 3*l**3 in the form k*l**3 + t*l + g + s*l**2 and give k.
7
Rearrange 0*n**3 + 13 + 7*n**4 - 6*n**4 + 3*n**3 - 2*n**3 + n**2 to p + c*n**4 + v*n**2 + w*n + i*n**3 and give v.
1
Rearrange -57*m**3 + 49*m**3 + 4*m + m + (0 - 1 + 0)*(-3*m**2 + 3*m**2 + m**3) to the form y*m**3 + l + o*m + b*m**2 and give y.
-9
Express -56*l - 209 + 209 in the form i + h*l and give h.
-56
Express -4*b - 14 + 3*b + 3*b in the form z*b + u and give z.
2
Express (1 - m - 2*m**3 + 4 - 4)*(1 + 4 + 5 + (1 + 2 - 1)*(1 - 4 + 1)) in the form u + d*m + l*m**3 + f*m**2 and give l.
-12
Rearrange -3*d**3 + 6*d**3 - 23*d**4 + 25*d**4 - d**2 to b*d**2 + o*d**4 + t + w*d + v*d**3 and give b.
-1
Rearrange (28 - 24 + 45)*(o + 3*o**2 - o) to the form p + q*o + x*o**2 and give x.
147
Rearrange -a**2 + 2*a**2 - 2*a**2 + (a**2 + 1 - 1)*(-1 + 0 + 0) - 47*a + 47*a + 8*a**2 to b*a + w + q*a**2 and give q.
6
Rearrange (0 + 0 + 2*s)*(-1 + 2 - 3) - 1 - 53*s + 154*s - 61*s to the form m + c*s and give m.
-1
Express -143 - 63*k + 143 in the form f*k + d and give f.
-63
Rearrange -11*q**2 + 2*q**2 + 10*q**2 - 4*q**3 to the form l + b*q + c*q**2 + x*q**3 and give x.
-4
Rearrange (-2*v + 0*v + v)*(6*v - 5 - 6*v + 6*v)*(-3 + 5 - 3) to the form a + i*v + n*v**2 and give i.
-5
Rearrange -6*y**2 - 3*y + 6*y**2 - y**3 - 4 to c*y**2 + f*y**3 + r + q*y and give r.
-4
Rearrange 36*m**3 + 16 + 36*m**3 - 113*m**3 + 39*m**3 + m to q*m + u*m**3 + g*m**2 + i and give i.
16
Express s**4 - s**4 - s**4 + (s**2 + 0*s + 0*s)*(3 - 4*s**2 - 3) in the form m*s**3 + k*s**4 + v*s**2 + r + x*s and give k.
-5
Rearrange -2*k + 6 + 2 - 2*k**2 - 10 to f*k + p + d*k**2 and give d.
-2
Rearrange (-15*n**2 - 15*n**2 + 10*n**2 - 2*n**2)*(0*n - 2*n - n) to i*n**2 + d*n**3 + c + m*n and give d.
66
Rearrange -17*k + 13*k - 13*k to the form c + h*k and give h.
-17
Rearrange (1 + 1 + 1)*(-2*j**3 + 0*j**3 + 3*j**3) + 2*j**2 + 9*j**3 - 3 - 16*j**3 + 8*j**3 to the form b*j**2 + g*j**3 + u*j + q and give q.
-3
Rearrange (-3 + 2*g + 3)*(2 - 4*g**2 - 2 - 1) to the form t*g + v*g**3 + m + c*g**2 and give m.
0
Express -a**3 + 22 - 22 - 14*a as x*a**2 + w*a**3 + h*a + k and give h.
-14
Rearrange 4*p - 3*p + 4*p - 3*p + 9*p**2 to i*p + g + t*p**2 and give i.
2
Express 31*j - 1 + 6*j - 3 + 6 as t + c*j and give t.
2
Express ((25*v - 55*v**3 - 25*v)*(1 - 1 + 1) + 2*v + 2*v**3 + v**3 - 5*v**3)*(-v + 0 + 0) as g*v**2 + m*v + t*v**3 + f + p*v**4 and give p.
57
Express -3*b + 0*b + 5 - 15*b**2 + 16*b**2 + 2*b**4 + 5*b in the form r*b**2 + q*b**3 + w*b + v*b**4 + k and give k.
5
Express (-36 - 159 - 48)*(2*y + 0 + 0) in the form v*y + w and give v.
-486
Rearrange -3*h**2 + 5*h**2 - 3*h**2 - 2*h**2 + 2*h to i + x*h + q*h**2 and give x.
2
Express (3*k - 2*k + k)*(-5 + 4 + 2)*(-2 + 1 + 0) - 6*k - 12*k - 6*k in the form b + o*k and give o.
-26
Express (m + m + m)*(-26 - 40 - 32) as s*m + d and give s.
-294
Rearrange -94*j - 167 + 167 to x + y*j and give y.
-94
Express -4*y**2 - 18*y**2 + 3*y**2 - 2*y - 5*y**2 as a*y + v + i*y**2 and give a.
-2
Express 3*d**3 - 2*d**3 - d + 3*d - 3*d**2 - 5*d as y*d + k*d**2 + w*d**3 + j and give j.
0
Express 4*y**2 + 2 - 2*y**2 + 11*y**3 - 18*y**3 - 2*y - 4 as v + z*y**2 + w*y**3 + i*y and give i.
-2
Express -h - 35*h**3 - h + 34*h**3 as x*h + q*h**2 + v + o*h**3 and give q.
0
Express -13*o**2 + 3*o**2 - 11*o**2 as s*o + q + k*o**2 and give k.
-21
Rearrange (-2*v**2 + 0*v**2 + 0*v**2)*(0 - 1 - 1) + (3*v - 1 + 1)*(-3 - v + 3) + 3*v**2 - 3*v**2 + 6*v**2 to the form h*v**2 + g*v + b and give h.
7
Express 39*q**2 - 68 - 71 + 139 in the form o + v*q**2 + d*q and give v.
39
Rearrange (3*j + 4*j - 6*j)*(2*j - 2*j - j)*(0 + 1 + 1) to the form n + b*j + z*j**2 and give z.
-2
Rearrange (-4 - 1 - 1)*(2 - 4 + 4)*(3*m - 4*m - 4*m) to the form f*m + b and give f.
60
Express 13*r - 5*r + 107*r**2 - 106*r**2 + 2 as n*r**2 + k + j*r and give k.
2
Rearrange | {
"pile_set_name": "DM Mathematics"
} |
What is the hundreds digit of j?
1
Let u = 1882 - -6214. What is the hundreds digit of u?
0
Let k be (1 - 2 - 0)*(-1 - -6). Let s be -1 + 3 + k + 3. Suppose s = -6*a + 9*a - 507. What is the tens digit of a?
6
Let g(l) = l**2 + 11*l - 74. What is the ten thousands digit of g(-108)?
1
Let k(w) be the third derivative of -83*w**4/8 - 6*w**3 + 15*w**2. What is the tens digit of k(-2)?
6
Let q(x) = 16*x**2 - 23*x + 102. What is the units digit of q(-20)?
2
Suppose 77*v = 626726 - 24740. What is the units digit of v?
8
Suppose -2875 = 4*d - 0*d - 3*q, -3*d = 4*q + 2175. Let a = d - -943. What is the units digit of a?
2
Let k = 2 - 0. Let b = 267 - 949. What is the tens digit of b/(-10) - k/10?
6
Let f(b) = -b**3 - 33*b**2 - 33*b - 29. Let p be f(-32). Suppose 5*y + 3289 = p*x, x + 4*y = 765 + 337. What is the units digit of x?
8
Let r = -2296 - -5431. What is the units digit of r?
5
Suppose 31*f - 357000 = 42435. What is the thousands digit of f?
2
Suppose 3*a + 9 = 4*l, 5*l - 18 + 2 = -a. Let r(n) = 1 - 2*n**2 + n**2 - 4*n + n**2 + 3*n**2. What is the units digit of r(l)?
6
Suppose v - 3 = 0, 0*l + v = -l + 8. Suppose -2*i = l*i - 518. Suppose o - i = 67. What is the units digit of o?
1
Suppose 0 = -8*a - 3*a + 33. Let o = 43 - a. What is the units digit of o?
0
Suppose -14*v + 5*s = -129790, 10*s - 27818 = -3*v + 14*s. What is the thousands digit of v?
9
Let o(u) = u**3 - u**2 + 3*u + 5. Let j be o(5). Let p(c) = c**2 + 12*c - 158. Let h be p(-20). Suppose h*w + w = j. What is the units digit of w?
0
Let o = 112473 + -45906. What is the tens digit of o?
6
Let y be ((-235)/(-15))/(1/(-6)). Let n be 3/(9 + (-2821)/312). Let b = n - y. What is the units digit of b?
2
Let p be (-3)/60*-8 - (-2)/(-5). Let j = p - -176. Suppose 2*y = f + 3*f + 152, 2*y + 2*f = j. What is the tens digit of y?
8
What is the units digit of 6750/126 - 53 - 107106/(-14)?
1
Suppose 2*o - 4*i - 88338 = 0, 3*o + 1396*i = 1398*i + 132535. What is the units digit of o?
3
Suppose -v - 2*y = 0, 3*v = -0*y + 4*y. What is the tens digit of (-672)/(v + 0 - (14 + -13))?
7
What is the tens digit of 1398/(-8)*(1836/(-81) - 32)?
5
What is the thousands digit of 15/(-195) - (-28394)/26?
1
Suppose 12*i - 7*i - 5*v = 0, -4*v + 14 = 3*i. Suppose -6*k = -i*k - 1376. What is the hundreds digit of k?
3
Let d be ((-4)/(-2) - 2)/(-2) + 4. Suppose a - 5*o = 54, 5*o + 131 = d*a + 2*o. What is the units digit of 2/10 - (a/(-5) + 1)?
5
Let g(b) = 16*b + 32. Let z be g(-2). Suppose 10*c - 7*c = n - 411, 4*n - 3*c - 1644 = z. What is the hundreds digit of n?
4
Let m = -116 - -128. Suppose m*o - 2746 = 2882. What is the units digit of o?
9
Let i = -28 + 28. Suppose -2*v - 3*q + 590 = i, -2*q - 1394 = -5*v + 43. What is the units digit of v?
9
Suppose 221*n = 220*n + 11496. What is the tens digit of n?
9
Let l(c) be the second derivative of -7*c**3/3 + 451*c**2/2 - 2*c - 70. What is the units digit of l(0)?
1
Let g = 5198 + -4142. What is the hundreds digit of g?
0
Suppose 8*c - 9*c + 4*f + 5151 = 0, 0 = 3*c + 2*f - 15383. What is the hundreds digit of c?
1
Let t be 2/3 - (-6136)/39. Suppose 3*j + 2*r + 3 = 2, 4*j - 22 = 2*r. Suppose 3*m - t + 479 = 4*a, -j*m = 4*a - 351. What is the tens digit of a?
8
Let m(o) = o**2 - 15*o + 21. Let c be m(14). Suppose 7*d = 5*h + 3*d - 49, 0 = -h - 2*d + c. Suppose -h*i + 572 + 1489 = 0. What is the units digit of i?
9
Suppose 0 = 2*j - 2*v + 416 + 314, -3*v - 1439 = 4*j. Let u(s) = -s**3 + 4*s**2 + 8. Let f be u(4). What is the hundreds digit of j/(f/(-4) - 0)?
1
Let s(a) be the second derivative of 25/6*a**4 + 1/2*a**2 + 0*a**3 + 0 + 11*a. What is the tens digit of s(1)?
5
Let f = 333 + -562. Let w = f + 417. What is the hundreds digit of w?
1
Suppose 2*c - 2*x - 291 - 1023 = 0, 2*c + x = 1308. Let l = c - 315. What is the units digit of l?
0
Suppose 12*o - 42656 = 8*o - 4*d, 3*o - 31976 = d. What is the ten thousands digit of o?
1
Let l(t) = t**2 + 13*t - 15. Let v(d) = -20*d + 29. Let g be v(-4). Let j = g - 129. What is the units digit of l(j)?
5
Let z = -4747 + 20502. What is the hundreds digit of z?
7
Let w = 6 + -1. Suppose a - 1218 = -1078. Suppose w*m = a + 65. What is the tens digit of m?
4
Let v = 81 + -54. Let z = -26 + v. Let h(o) = 58*o**2 + 2. What is the units digit of h(z)?
0
Let x(z) = -10*z + 11. Let b(l) = -l**3 - 3*l**2 - 2*l - 2. Let r be b(-3). Let s be x(r). Let d = 135 + s. What is the tens digit of d?
0
Suppose 6*m - 157 + 13 = 0. Suppose 8106 = -3*d + m*d. What is the units digit of d?
6
Suppose -10 = 2*y, 0 = x - 80*y + 79*y - 7468. What is the thousands digit of x?
7
Suppose -5*w = -5*o + 49085, -3*o - 25*w + 20*w + 29451 = 0. Suppose -19*t + o = -8062. What is the tens digit of t?
4
Let t(u) be the third derivative of -u**6/40 + u**5/20 + 11*u**4/24 + u**3/6 + 5*u**2 - 3. What is the units digit of t(-4)?
7
Let x(w) = 6*w - 42. Let y be x(8). What is the tens digit of 33/y*(43 - 9)?
8
Let m = 2289 + -1115. Let y = m + -770. What is the units digit of y?
4
Let j(z) = z**2 - 6*z - 9. Let r be j(-2). Suppose -r*v = -2*v - 675. What is the units digit of v?
5
Let h be 90/(-54) - 8/6. Let t(u) = -43*u**3 + 8*u**2 - 2*u - 13. What is the tens digit of t(h)?
2
Suppose 55*w - 45*w - 55050 = 0. What is the tens digit of w?
0
Suppose -136470 = -5*z - 5*c, -3*z + 81882 = 207*c - 212*c. What is the ten thousands digit of z?
2
Let i(j) be the second derivative of -j**5/20 + 5*j**4/6 - 7*j**3/3 + 47*j**2/2 - j - 2. What is the units digit of i(4)?
7
Suppose 5*n + 4434 = 4*t, -4*t + 2445 = 2*n - 1975. Suppose 5*y = 12*y - t. What is the tens digit of y?
5
Let q(z) be the third derivative of -z**6/120 + z**5/20 + 24*z**3 - z**2 - 9*z. What is the hundreds digit of q(0)?
1
Let g be 320*(-10)/125*5. Let h = g + 335. What is the tens digit of h?
0
Let f(z) = -69*z**3 + 2*z**2 + 8*z + 12. Let w(n) = n**3 - 24*n**2 - 54*n + 50. Let b be w(26). What is the units digit of f(b)?
6
Suppose -57*u = 18*u - 1202175. What is the tens digit of u?
2
Suppose -18*r = 125*r - 2041610 + 183754. What is the units digit of r?
2
Let i(z) = -14*z**3 - 43*z**2 + 4*z - 87. Let w(r) = -5*r**3 - 14*r**2 + r - 29. Let x(d) = 6*i(d) - 17*w(d). What is the units digit of x(21)?
9
Suppose -y = -8 - 10. Let k be 0 + (-1 + y - 2). What is the units digit of 39/k - 8/(-20)?
3
Let c = 1763 - 1538. What is the hundreds digit of c?
2
Suppose 0 = 108*t - 583126 - 799166. What is the hundreds digit of t?
7
What is the units digit of (3 + (-5 - 71808/30))/(4/(-20))?
8
Let b = 7924 - 3584. Suppose 10*c = 17*c - b. What is the hundreds digit of c?
6
What is the thousands digit of (-17*4/(-102))/((-3)/(-93267))?
0
Suppose 0 = 698*d - 691*d - 91700. What is the units digit of d?
0
Let b(h) = 726*h**3 - 2*h**2 + 12*h - 12. What is the ten thousands digit of b(3)?
1
Let l = 46646 - 7232. Suppose 41*v = l + 12861. What is the tens digit of v?
7
Let p = 9110 + 7603. What is the hundreds digit of p?
7
Let y be -6*((-155)/(-30) - 5)*-9. What is the hundreds digit of -1 - -44*(y + 8)?
7
Suppose -16*h + 21*h = 4*v - 257, 2*v - 3*h = 129. What is the tens digit of (v/9)/7 - 121*-4?
8
Suppose 31*p = 35*p. Suppose p*x + x = -x. What is the hundreds digit of (115 + x)/(0 + 1)?
1
What is the hundreds digit of (-34 - -27197) + 7 + -20?
1
Let u = -946 - -491. Let h = u + 589. What is the tens digit of h?
3
Let c(x) = -x**2 - 5*x + 9. Let u = 160 - 166. What is the units digit of c(u)?
3
Suppose -g + 7*v = 4*v + 7, 5*g = -4*v + 22. Suppose g*x = -x + 9. Suppose -2*q + x*a + 35 = 0, 3*q = -4*a + 43 + 1. What is the tens digit of q?
1
Suppose 1117*o - 950*o - 2114220 = 0. What is the tens digit of o?
6
Suppose 711 = 6*f - 27. Let h = 418 + f. What is the hundreds digit of h?
5
What is the hundreds digit of (((-76)/14)/(220/308))/(3/(-3525))?
9
Suppose g - 50 = 27. Suppose 2*d - 21 - 51 = -q, d - g = -q. What is the tens digit of (q/(-6))/(7/(-21))?
4
Let g(u) = 1072*u - 981. What is the ten thousands digit of g(13)?
1
Let h = 350 + -607. Let p = h - -687. What is the tens digit of p?
3
Let g = 89 - 37. Let x be (-32)/80 + -652*(-2)/10. Suppose 2*z - x = 4*k, -5*z - k + g = -229. What is the tens digit of z?
5
Suppose -27*m - 780474 = -41*m - 198452. What is the hundreds digit of m?
5
What is the hundreds dig | {
"pile_set_name": "DM Mathematics"
} |
d - -24. Let z = 594 - 24352/41. Is z at least q?
True
Let t be 111/((189/35)/9). Suppose 6*l = l - t. Is l not equal to -36?
True
Let t be (-4)/18*2265/18875. Suppose d - 3 = -r - r, -3*r + 4*d = 1. Is r bigger than t?
True
Let c = -766 + 765.345. Let w = -1.275 - c. Are w and -2/5 equal?
False
Let z(g) = 3*g**3 - 5*g**2 - g + 12. Let s be z(-3). Let n = s + 110. Which is bigger: -4/25 or n?
-4/25
Let c = -24 + 24.074. Let h = c + -6.274. Let j = h + 5.3. Which is bigger: 0 or j?
0
Let j(b) = -6*b**2 - 22*b. Let q be j(0). Are -1/56 and q non-equal?
True
Let d = 259 - 345. Let m = d + 2. Which is smaller: -86 or m?
-86
Let s be 64*((-2)/4 + 39/(-26)). Let i = s + 125. Which is smaller: i or -31?
-31
Let b = -9430.46 + 9430. Is b less than or equal to 1/11?
True
Suppose -12 = -3*a - 5*s + 46, 80 = 5*a + 5*s. Suppose -2*x + 9*q - a*q - 350 = 0, 885 = -5*x + 5*q. Which is smaller: x or -178?
-178
Let s(d) = d**2 + 5*d + 4. Let g be s(-4). Suppose 7*i + 562 - 576 = g. Which is smaller: 13/25 or i?
13/25
Let u = 28476 + -13602. Which is greater: 1/3 or u?
u
Suppose -5*b + 3*f + 0*f + 156 = 0, 0 = 2*b - 2*f - 64. Let d be (-4)/14*2/b. Let c(a) = -5*a - 39. Let i be c(-8). Is d smaller than i?
True
Suppose -5*n + 4*v + 296 = 0, -4*n + 2*v = -3*v - 244. Let h = n + -58. Let l be (0 + h + 0)*(-2)/(-4). Which is greater: 14/5 or l?
14/5
Let x = 1423 - 1401. Is x < -41?
False
Let z be 1 + 3 + ((-6)/(-3) - -3). Suppose -2*w + 1 = -4*i - z, -12 = -4*w + 4*i. Which is bigger: w or -3/10?
w
Let x = 46/87 - -30476/609. Let i be (-40682)/805 - (-10)/25. Let a = i + x. Are 1 and a unequal?
True
Let x = -16 + -64. Let v = x - -87. Let r be 4/(-3) + v/21. Which is bigger: r or -2/115?
-2/115
Let h = -1573237/4358 - -361. Which is greater: 0 or h?
h
Let f = -808 + 10573. Let i be f/(-150) - 7 - (-1)/10. Which is greater: -71 or i?
-71
Let g = 439 - 438.9684. Let x = 112.9684 + g. Is -0.1 at least as big as x?
False
Let t = -25539 - -23888. Do t and -1643 have the same value?
False
Let k = 146 - 182.7. Let r = 36.6 + k. Is r less than -487?
False
Let n be ((-145)/25 - -6)*15/6. Which is bigger: n or 361?
361
Let i = 66561 + -331346/5. Which is smaller: i or 292?
i
Let g(r) = -15*r**2 + 15*r - 32. Let f(u) = -8*u**2 + 8*u - 15. Let x(p) = 7*f(p) - 4*g(p). Let k be x(-6). Which is smaller: k or -1?
-1
Suppose 3*n + v = 221, 0 = 6*n - 8*n + 3*v + 162. Let c be -1*1 + (13 - 8). Suppose t - 5*f + 65 = 2*t, 302 = c*t - f. Do n and t have different values?
False
Let p = 1668 + -1658.97. Let l = p - 10.03. Which is bigger: l or 146?
146
Let f = -461535853/10356 + 44567. Which is greater: f or 0?
0
Suppose 5*d = 3*j + d + 26, d + 11 = -j. Suppose -6*y + 12*y = -30. Let l be y/(-6) + -1 - (-70)/84. Which is smaller: j or l?
j
Let u = 0.0948 + -734.0948. Let v = u - -726. Which is smaller: 27/2 or v?
v
Let l be -3 - ((-2)/(-5) - (-502288)/(-120)). Let o = 4336 - l. Let r = o + -149. Is 6 not equal to r?
True
Suppose -15489*r + 20 = -15479*r. Let n = -1.51 + 1.4. Which is smaller: n or r?
n
Let a be (-1)/4 - (7 + 294/(-56)). Let h = 4/522763 + -122327762/159442715. Let r = -2/61 + h. Is r less than or equal to a?
False
Let t = -364 - -322. Let z = 27 - 71. Let m = z - t. Is m at least as big as -12/5?
True
Let s = 759 + -882. Let v = s - -135. Let y(z) = -z**2 + 3*z. Let h be y(3). Is v at most h?
False
Let r = -2.564 - -13.564. Let c = -0.7 + 5.7. Let b = r - c. Which is smaller: b or 1?
1
Let o = 42857 - 172929/4. Which is bigger: -376 or o?
o
Let f = -84 + 87. Let d be 16/(-40) - (-12)/5 - f. Which is smaller: 1/60 or d?
d
Let h = -61/87 + 253/609. Which is smaller: 3152 or h?
h
Let j = 2 + 12. Let w(i) = i**2 - 11*i - 22. Let f be w(j). Suppose -6*u + f*u + 210 = 0. Is u less than -3?
True
Let m be (-1729)/(-4) + (-10)/40. Suppose 0 = -8*l - 4*l + m. Suppose 0 = 37*b - l*b. Which is smaller: b or -12/41?
-12/41
Let c = -0.011 + 31.011. Let z(q) = -q**3 - 7*q**2 - 7*q - 3. Let x be z(-5). Let m = x + 52/3. Which is bigger: c or m?
c
Suppose 23*z = 25*z - 568. Let i = z - 2600/9. Is i less than or equal to -4?
True
Let d = -18/149 + 460/1341. Is d less than 1716?
True
Let m be (-6)/15 + ((-14536)/10)/(-4). Let s be 4/6 + (-770)/m. Which is smaller: s or -3?
-3
Let j(v) be the first derivative of -16*v**3/3 - v**2/2 + 2*v + 84. Let q be j(2). Which is smaller: q or 2?
q
Suppose -3*o + 195 - 504 = 0. Let f = o - -108. Which is smaller: f or -4?
-4
Suppose 0 = 3*k + 28 - 19, 2*r - 149 = 3*k. Is r greater than or equal to 119?
False
Suppose -3*a = -6*a + 36. Let n be 2 + -9 - a/4. Let t be 1*1/(-1) + 1/2. Which is smaller: t or n?
n
Let l be (1/4)/(7375/40). Let s = 29066 - 29067. Is l greater than s?
True
Let m(u) = u + 13. Suppose 0 = -3*l - 2*l + 4*d - 25, -3*l = 3*d - 12. Let g(i) = -i. Let b(q) = l*m(q) - 2*g(q). Let h be b(-7). Is -21 bigger than h?
False
Let d be (638/(-12))/11 - (-2)/(-12). Let z = 11 + d. Let l be (3/(-8)*4)/(z/32). Which is smaller: l or -6?
l
Let z be 2*(-17077)/10 + (-78)/(-195). Which is greater: z or -3416?
z
Let z be (-548)/(-6302) - (-12792)/(-46). Is z less than 1/4?
True
Let x be (-4)/12*(-14)/(-8). Let a be (-4)/8 + (-86)/(-24). Let v = a + x. Is v bigger than 4?
False
Let a be (577 - (-26 + 37))*(-22)/(-4). Which is greater: 3114 or a?
3114
Let q be (40/54 + 238/(-3213))/(1/33). Let b = 7 - 7. Suppose 0*j + 2*j - 46 = b. Is q at most j?
True
Let t be 27/6 + 26/(-4) + 6. Let s be 0 + (12/t)/(-12). Is -76 at least s?
False
Let l be (2 - (0 - 0)) + 708/(-276). Let r = 13/23 - l. Is 1 equal to r?
False
Suppose -4*s = -22 - 14. Suppose -q - 8 = -z + 1, -z = 2*q - s. Suppose z*b + 291 + 60 = 0. Which is smaller: b or -1?
b
Suppose 14*z + 412439 = -33*z - 24*z. Which is bigger: z or -5807?
-5807
Let r = -1301 + 1300.33. Which is smaller: 4/3 or r?
r
Let z = -136 - -135. Let c = 11 - z. Let y = c - -36. Is 47 at least y?
False
Let s = 9879 + -9879. Which is greater: -8/25 or s?
s
Let a = 0.04119 - -2426.95881. Which is smaller: 0.1 or a?
0.1
Let b(i) = 2*i**2 - 11*i + 3. Let p(k) = 4*k**2 - 23*k + 7. Let z(v) = 7*b(v) - 4*p(v). Let a be z(6). Let w be 32/176 - 2/a. Is w at least as big as 0?
True
Let j = 35 + 124. Let v = 59001 + -58844. Is j less than v?
False
Let a = 14 - 20. Let q = -206.11 + 0.11. Let i = -204 - q. Which is smaller: i or a?
a
Let m = 7726 - 7644. Which is bigger: m or 102?
102
Let w(q) = -q**2 - 7*q - 2. Let s be w(-6). Let p be 0*(1 - s/6). Do p and 1 have the same value?
False
Suppose 83 = -21*b + 251*b + 313. Is b smaller than 9/434?
True
Suppose 182*d - 384*d = -187*d - 15. Which is smaller: d or -2/31147?
-2/31147
Suppose 6*u = 7*u + 131. Let i = -50 - u. Let s be (i/(-15))/((-21)/14). Which is bigger: s or 3?
s
Let t(g) = g**2 - 130*g + 2529. Let h be t(22). Is h at least 169?
False
Let q = -2308321/161 + 14337. Which is bigger: q or 1?
1
Let l = 40.72 - 0.92. Let s = -1.12 - -41.12. Let z = s - l. Is z bigger than -1.5?
True
Let q be (((-305136)/(-54))/(-26))/((-15)/(-27) + -1). Which is greater: 491 or q?
491
Let a = -6604 - -6603. Which is smaller: -3.04 or a?
-3.04
Let i = -97.43 + 97.33. Is i at most as big as 18.969?
True
Let q = -2277 + 1874. Is q greater than 0?
False
Let a(v) = -v + 18. Let x be a(23). Let m be (1/4)/(x - 378/(-77)). Let b be 4*((-1)/2 - 0). Is b < m?
False
Let j = 2946 - 615718/209. Suppose -1084*g + 3*p = -1086*g - 17, 0 = p + 5. Is j at most g?
False
Let i = 74029442378592/31979 + -2314939253. Let u = i + -24/113. Which is smaller: u or 1?
u
Let i(y) = -y**2 - 13*y - 26. Let v be i(-8). Let p(d) = 45*d**2 + v*d - 19*d**2 - 23*d**2. Let q be p(-6). Is q != 23?
True
Let w(d) = -2*d - 1. Let v be w(-6). Let k = 104 - -39. Let r = k + -140. Which is bigger: v or r?
v
Let r = 11728 + -34867/3. Let j = 105 - r. Do 5/3 and j have the same value?
False
Let d = -28/9 - -103/36. Which is smaller: 7/1524 or d?
d
Let a = 9339/37 + -251. Is 1 less than or equal to a?
True
Let v(t) = t**3 - 80*t**2 + 5*t - 426. Let i be v(80). Suppose -2*b = 6, -z + 3*z = -3*b - 57. Which is smaller: z or i?
i
Suppose -f = 3*f. Let r be 3 + (-2 - 4) + 5 + -12. Let s be (-5)/110*(-24)/r. Is s equal to f?
False
Let y be (-3)/(-6)*(1 - -397). Let i be (-3383)/34*(-2)/(18 - 17). Is y bigger than i?
False
Suppose -3*c - 423 | {
"pile_set_name": "DM Mathematics"
} |
/n))/n)/n)**(-24))**(3/5) assuming n is positive.
n**(-89/5)
Simplify (((w**(2/17))**(-13/3))**44)**22 assuming w is positive.
w**(-25168/51)
Simplify g**(-1/12)/(g/(g*g**(1/4)/g)*g)*(g**18*g)**(-2/15) assuming g is positive.
g**(-131/30)
Simplify ((c*c*c**(-5/2)*c/c**0)/(c**(-1/4))**(-1/36))**9 assuming c is positive.
c**(71/16)
Simplify (c**(2/3)/c*c**(1/7)*c)/((c/(c*c*c*c/c**(-15)*c*c))/(c*c**(-17))) assuming c is positive.
c**(101/21)
Simplify ((y*y**(-2)*y*y)/y)**(2/13)/(y**(1/8)*y)**(2/15) assuming y is positive.
y**(-3/20)
Simplify (s*s*s**(3/2)*s*s**(-3))**(8/11) assuming s is positive.
s**(12/11)
Simplify (w**(-5)*w**(2/5)*(w*w**(-4/7)*w)/w**(-8))**(-1/47) assuming w is positive.
w**(-169/1645)
Simplify (w**(1/2)/(w/w**(2/23))*(w**(1/4)*w)**(2/7))**29 assuming w is positive.
w**(-261/161)
Simplify (q**3)**(-4/11)*q/q**(2/3)*q*q**(-11)*q assuming q is positive.
q**(-322/33)
Simplify ((p**(2/3)/p*p)**(32/7))**31 assuming p is positive.
p**(1984/21)
Simplify ((x*x**24/x)**(-3/16))**50 assuming x is positive.
x**(-225)
Simplify ((k/k**5)**15)**(10/3) assuming k is positive.
k**(-200)
Simplify ((c**(2/13)*c*c/c**(-4)*c)/(c**9*c**7))**(-2/37) assuming c is positive.
c**(230/481)
Simplify ((c/c**6)/(c**18/c))**(-3/4) assuming c is positive.
c**(33/2)
Simplify (a/a**(-5))**(-3/32)/(a*a**4*a*a**(1/8)/a) assuming a is positive.
a**(-91/16)
Simplify (l**(-2/13)/l*l)/(l/(((l*l/((l*l*l**(-4)*l)/l)*l)/l)/l))*l**(13/3)*l/(l**7/l)*l assuming l is positive.
l**(85/39)
Simplify (l**(-2/49)/(l*l**26))/(l*l*l**11/l*(l/(l**(11/5)/l))/l) assuming l is positive.
l**(-9271/245)
Simplify s*s**(-1/7)*s*s**(-1/3)*(s**(-2))**(-1/22) assuming s is positive.
s**(373/231)
Simplify (d**(-3/10))**(-12)/(d**(-21))**(-23) assuming d is positive.
d**(-2397/5)
Simplify (((o/((o/(o/(o/(o/o**3))))/o)*o)/(o*o*o**(-5/4)))**(-4/9))**37 assuming o is positive.
o**(37/3)
Simplify ((i*i**17)/(i*i/i**12))/(i*i**(-2/25)*i*i/(i*i**(2/19)*i)*i) assuming i is positive.
i**(12438/475)
Simplify (((a/(a**(-2/3)*a))**(-1/29))**(-8/3))**(33/4) assuming a is positive.
a**(44/87)
Simplify (p/p**10*p/p**(-3))/(p**21/(p*(p*p*p*((p/p**(-7/2))/p)/p)/p)) assuming p is positive.
p**(-41/2)
Simplify (((z**15/z)/z)/(z*z/z**(-13)*z*z))/(z**(2/9)*z)**7 assuming z is positive.
z**(-113/9)
Simplify u**12*u*u**(1/7)*u*(u/(u**(-1/3)/u)*u)**(-24) assuming u is positive.
u**(-461/7)
Simplify (q*q/(q/(q*q**(-2/7)))*q**(-3))/(q*q*q*q**(-3/4)*q*q)**12 assuming q is positive.
q**(-366/7)
Simplify y*y*y**(-8)*y**(5/3)*(((y**(1/4)*y)/y*y)/y)/((y*y*y*y*y/y**(8/5)*y*y*y*y*y)/y) assuming y is positive.
y**(-689/60)
Simplify q**(-11/5)*q**2*q**(-7)*q*q**(13/2) assuming q is positive.
q**(3/10)
Simplify (((z/z**(-8))/z)**10)**(-7) assuming z is positive.
z**(-560)
Simplify ((p**1)**14/(p**1)**(8/3))**(3/4) assuming p is positive.
p**(17/2)
Simplify (v/v**(-3/2)*v*v**(-3/2)*((v*(v/(v*v/((v**(1/2)/v)/v))*v)/v)/v)/(v/v**(-1)))**(-1/23) assuming v is positive.
v**(5/46)
Simplify ((t**(-2/7)*t)/(t/((t/((t*t**(3/2)*t)/t))/t))*t**(2/7)/t*t*t**(-1))**(2/5) assuming t is positive.
t**(-7/5)
Simplify (u**(-21)/(u*u**(-2/17)))/(u**18*u)**(10/11) assuming u is positive.
u**(-7322/187)
Simplify ((g*g**(-1/5)*g)/(g*g/(g/(g**(-3/2)*g*g))*g)*(((g/g**(3/5)*g)/g)/g)/(g*g/g**(1/16)))**8 assuming g is positive.
g**(-259/10)
Simplify (b/(b/((b*b*b/(b*b**8))/b*b*b)*b))/(b*(b/b**(2/15))/b)*(b/b**(-1/2))**(-41) assuming b is positive.
b**(-2051/30)
Simplify ((s*s**2/s)/((s*s*s*s**(2/59))/s))/(s**(-3/2))**7 assuming s is positive.
s**(1235/118)
Simplify k/(k**8/k)*(k*k**0)/k*k**(-5)/(k/k**(1/6)) assuming k is positive.
k**(-71/6)
Simplify (v**(-24))**(-13)/(v**(19/6)*v*v**(1/10)/v) assuming v is positive.
v**(4631/15)
Simplify i/(i*i**(-1/7))*i/((i*(i/(i**(3/5)/i))/i*i)/i)*i**(-4)/i**(4/7) assuming i is positive.
i**(-169/35)
Simplify (b*b/(b*b**(-1)))/((b**2/b*b)/b)*b*(b*b**(3/11))/b*b**(-3/7)*b*b assuming b is positive.
b**(296/77)
Simplify (s*s/s**(-22)*s*s**(-2/7)*s)/(s**(2/17))**(-40) assuming s is positive.
s**(3620/119)
Simplify ((o/(o/(o*o**15)))/o**(-2/25))**(13/3) assuming o is positive.
o**(1742/25)
Simplify (s**2*s*s/s**(-2/9)*s)/(s*s/(((s/s**1*s*s)/s*s)/s)*s*((s/(s*s*s/((s/s**(-1/19))/s)*s))/s)/s*s) assuming s is positive.
s**(1226/171)
Simplify (o**(-3/4))**(-25)/(o/o**3)**(-15/4) assuming o is positive.
o**(45/4)
Simplify ((h**(-1/6)*h**(-4/3))/(h**2*h)**19)**22 assuming h is positive.
h**(-1287)
Simplify (v**3)**42*v/(v*v*v**(3/2)*v)*v**7 assuming v is positive.
v**(259/2)
Simplify (((i/(i**(-3/2)/i*i))/i)/i)**(-2/27)*i**(7/4)*i**(-26) assuming i is positive.
i**(-2623/108)
Simplify (n**21/n**(-11))/((n/(n/(n*n**(-2/35))))/n*n**(-8)/n) assuming n is positive.
n**(1437/35)
Simplify (q*q**(1/4)*q)**(-44)/(q/(q*q**(-8/7)))**(-39) assuming q is positive.
q**(-381/7)
Simplify (b**(-6))**(3/7)/(b**(2/29)*b)**(-1/27) assuming b is positive.
b**(-13877/5481)
Simplify (r*r/r**(-36)*r*r/(r/(r*(r/((r/((r**(-33)/r)/r))/r))/r)))**(-27/7) assuming r is positive.
r**(-135/7)
Simplify (q**(7/4)*q**(2/7)/q)/(q**(7/6)*q*((q*(q/q**(-14))/q*q)/q*q)/q*q) assuming q is positive.
q**(-1439/84)
Simplify (c**(4/5))**(-41)*(c/(c**(-2/15)*c))/(c**(1/4)*c) assuming c is positive.
c**(-407/12)
Simplify (((k*k**(-1/3))/k*k)/k)**(-4/19)/(((k/(k/k**(-12))*k)/k)/k*k/((k/(k**(10/7)*k))/k*k)) assuming k is positive.
k**(4246/399)
Simplify ((s*s*s*s**(-2/9))/s**(-2/37))/(s**(-10)/(s**13/s)) assuming s is positive.
s**(8269/333)
Simplify v**4*v**(-21)*v*(v**(8/5))**8 assuming v is positive.
v**(-16/5)
Simplify q/(q/q**1)*q*q**1*q**(-7)*q*q**5 assuming q is positive.
q**2
Simplify ((a**(5/3)/a**(1/8))**(-14))**(-22/5) assuming a is positive.
a**(2849/30)
Simplify ((t/(t**(-5/3)*t)*t*t)/t)**(21/5)*t/(t/t**(-3/8))*t*t**(-5/6) assuming t is positive.
t**(1319/120)
Simplify (g**(-2/9)*g*g*g**(-12)/g*g*(g**(1/2))**(-19))**(1/20) assuming g is positive.
g**(-71/72)
Simplify ((p**1)**(-45)*(p**(-1))**(-34))**(-18) assuming p is positive.
p**198
Simplify (d**10*d**3/d)/((d*d**36/d)/((d*d**(6/19))/d*d)) assuming d is positive.
d**(-431/19)
Simplify (((y*y**(-6)/y)**17)**(2/9))**(9/8) assuming y is positive.
y**(-51/2)
Simplify (n*n**(-4/7)*n*n*n/n**(-12))**(-2/9) assuming n is positive.
n**(-24/7)
Simplify (j**(1/10))**(-26)*(j**5)**(3/29) assuming j is positive.
j**(-302/145)
Simplify ((w**(-1/3)/w*w)/(w*w**(-2))*(w/(w**(-1)*w))**(-3/5))**(19/5) assuming w is positive.
w**(19/75)
Simplify (((y/(y/(y/(y**4/y))))/y*y**(-2/19))/(((y/y**(1/12))/y)/((y/y**(1/7))/y)))**11 assuming y is positive.
y**(-55561/1596)
Simplify (x/((((x**(-7)*x)/x*x)/x)/x))**(11/3)*x**(-3/7)*x**(1/5) assuming x is positive.
x**(1147/35)
Simplify (k**26/(k**24*k))**(-4/17) assuming k is positive.
k**(-4/17)
Simplify (u**(4/9)*u**(-48)/u*u)**(1/24) assuming u is positive.
u**(-107/54)
Simplify ((x**2)**(-40))**(-3/5) assuming x is positive.
x**48
Simplify (((j**(-2/7)*j)**(-42))**35)**(2/81) assuming j is positive.
j**(-700/27)
Simplify ((l**(-1)*l)/l**(-3)*l**(1/7)/l*l/(l/(l*((l*l/(l/((l**(-2)*l)/l)))/l)/l*l)*l))**19 assuming l is positive.
l**(19/7)
Simplify ((((n/n**(-1))/n)/n)/((n*((n*n**(-1/13)/n*n)/n)/n*n)/n))/(n*n/(n**(19/3)/n))**(2/5) assuming n is positive.
n**(55/39)
Simplify (((z*z*z/z**(2/15)*z*z*z*z)**(-2))**36)**(-6) assuming z is positive.
z**(14832/5)
Simplify (f*f**(2/5)/f)/(f/f**(-1/4))*(f**(-2/13))**(3/8) assuming f is positive.
f**(-59/65)
Simplify ((t*t/t**(-17)*t*t*t*t**23)**(-17/6))**(-2/7) assuming t is positive.
t**(255/7)
Simplify ((i*i**(1/4)/i)/i*i/(((i**(-4)*i)/i)/i*i))/(i/i**(-21))**4 assuming i is positive.
i**(-335/4)
Simplify (o*o**4*o)**(-2/3)/(o**(-1/4)*o/(o/(o*o**(-3/2)/o))) assuming o is positive.
o**(-9/4)
Simplify ((d**(8/9)/(d*d**(-4)))**26)**(-3/52) assuming d is positive.
d**(-35/6)
Simplify ((u/((u/(u/(u/(((u**(-1/2)/u)/u)/u))))/u)*u)/u**7)**31 assuming u is positive.
u**(-527/2)
Simplify (((o/(o/((o/o**(-2/5))/o)*o))/o*o)**7*o**(5/2)/((o**7/o)/o))**(-2/43) assuming o is positive.
o**(67/215)
Simplify (b**(-9))**(-32)/((b/b**(5/4))/b**10) assuming b is positive.
b**(1193/4)
Simplify (k**(-2/21))**(-36)/((k**(-2/35)/k)/(k**(-1/7)*k)) assuming k is positive.
k**(187/35)
Simplify ((m**5/m)**(-42))**(2/79) assuming m is positive.
m**(-336/79)
Simplify y/(y**( | {
"pile_set_name": "DM Mathematics"
} |
d by 140/34 + z/51.
1
Let t = -2781 - -3343. What is the remainder when t is divided by 113?
110
Suppose 0 = -g + 8*g + 182. Let q = 33 + g. Suppose -q*l + 4 = -129. What is the remainder when 31 is divided by l?
12
Let q(o) = o**3 - 53*o**2 + 188*o - 89. What is the remainder when 8596 is divided by q(51)?
2
Let k(r) = -12*r**2 - r. Let l(b) = b + 2. Let c be l(-3). Let z be k(c). Let g = z - -26. Calculate the remainder when 58 is divided by g.
13
Let g(h) = 12*h**3 + 2*h**2 + 2*h. Let d be g(-1). Let a be 4532/6 - (-16)/d. Suppose 13*k - a = 104. What is the remainder when k is divided by 35?
31
Let a = -4130 + 4182. Calculate the remainder when 2700 is divided by a.
48
Suppose -225 = 20*z - 17*z. What is the remainder when 175 + (-25)/z*(-1 + 1) is divided by 63?
49
Suppose -71*r + 9043 = 13*r - 2633. Calculate the remainder when 698 is divided by r.
3
Let z = -5482 - -5612. Calculate the remainder when 406 is divided by z.
16
What is the remainder when (9*23/(-46))/((-2)/136) is divided by 14?
12
Suppose -2*o + 716 = 2*c, 4*o - 1788 = -7*c + 2*c. What is the remainder when c is divided by 71?
1
Let h be 6/10*(-1040)/(-156). Let t(w) = -3*w**2 + 24*w - 11. Calculate the remainder when t(h) is divided by -20*((-7)/4 - -1).
7
Let j(s) = s + 33. Let l be j(-26). Suppose l*d - 2889 = 233. What is the remainder when d is divided by 56?
54
Let o(v) = -56*v + 2872. What is the remainder when 765 is divided by o(51)?
13
Suppose 17 = -3*o - b, o + 0*o + 5*b + 1 = 0. Let c be ((-66)/55)/(o/(-20)). Calculate the remainder when 12*2*c*232/(-96) is divided by 59.
55
Let t = 7389 + -6909. Calculate the remainder when t is divided by 188.
104
Suppose 3*z - 3*h - 1394 = -z, 4*z = -5*h + 1410. What is the remainder when (-20)/z*-10*77 is divided by 30?
14
Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21.
18
Let a = 12020 - 10330. Calculate the remainder when a is divided by 77.
73
Let k(n) = n**2 + 16*n + 11. What is the remainder when k(12) is divided by 13 - (0/2 - 1)?
11
Let u(q) = -q + 144 - 454 + q**2 + 236. Calculate the remainder when 62 is divided by u(-9).
14
Let z = -10320 + 10394. Calculate the remainder when 211 is divided by z.
63
Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5.
3
Suppose -4*v = l - 85, -23*l - v - 593 = -28*l. Calculate the remainder when 341 is divided by l.
107
Suppose 11*l - 4*b + 2619 = 14*l, -4*b = 4*l - 3492. Calculate the remainder when l is divided by 148.
133
Suppose 117*w + 0*w - 1539369 = 0. What is the remainder when w is divided by 8?
5
Suppose 0 = 2*z - 3*h - 1935, 2*h - 1488 = -2*z + 442. Suppose 190*q + z = 196*q. Calculate the remainder when q is divided by 27.
26
Calculate the remainder when 193 is divided by (-84)/(-8)*(1/(-2))/((-42)/112).
11
Suppose 96 = 2*u - 4*q, 4*u = 5*u - 5*q - 57. Let x(i) = i + 7. Let k be x(-11). Calculate the remainder when u is divided by -1 - -21 - (-7 - k).
19
Suppose -4*b + 8*u = 4*u - 2036, -3*b + u = -1537. Let r = 742 - b. Calculate the remainder when r is divided by 33.
30
Let a = 65 + -47. What is the remainder when 1580 is divided by a?
14
Let w = -73 - -77. Suppose 0 = -5*g - 0*g + 5, 4*g = 4*t - w. Suppose -t*f = 3*p - 38, 5*f - 65 = -p - 4*p. Calculate the remainder when 48 is divided by p.
0
Suppose 7 = 2*n - 7. What is the remainder when ((-40)/(-12))/5 - 112/(-3) is divided by n?
3
Suppose -2*a + 130 = -4*r, -126 = -2*a - r + 29. What is the remainder when 4198 is divided by a?
73
Suppose -14*v = -6 - 8. What is the remainder when 70 is divided by ((-196)/16 - -7)*(v + -5)?
7
Calculate the remainder when (18 - -2)/(-3 - (-40)/12) is divided by 49.
11
Suppose 3*r + 245 = 5*q, 2*q + r + 48 - 146 = 0. Suppose w - q = -6*w. Let x = -254 - -295. What is the remainder when x is divided by w?
6
What is the remainder when 361 + 1 + 6/((-57)/19) is divided by 195?
165
Let v(i) = i**2 + 3*i + 1. Calculate the remainder when (-326)/(-2) + ((-312)/(-6) - 44) is divided by v(4).
26
Suppose 5*a + 8*a - 1394 = -4*y, 0 = 4*a + 4*y - 440. What is the remainder when 617 is divided by a?
87
Let g(h) = -8*h**2 + 10*h - 31. Let i be g(4). Let b = -62 - i. What is the remainder when b is divided by 1*(-40)/(-12)*3?
7
Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y.
8
Suppose 307*u = 274*u + 51645. What is the remainder when u is divided by 112?
109
Suppose 0 = -9*a + 19 + 8. Suppose a*r - d + 7 = -4, 5 = -5*r - d. What is the remainder when 19 is divided by (r/3)/((-20)/150) + 2?
5
Let d = -24 + 1. Calculate the remainder when -7 - -1 - (-116 - d) is divided by 2.
1
Let p(g) = g**3 + 8*g**2 + 10*g - 1. Suppose 4*y + 2*m + 22 = 0, 4*y = 7*y - m + 19. Calculate the remainder when 76 is divided by p(y).
10
Suppose -2*u + 5*u - 451 = 2*v, 0 = -2*u + 5*v + 286. Let n = 225295 - 225283. What is the remainder when u is divided by n?
9
Let q = 1287 + -1322. Suppose -5 = m + 3. Let r = m - q. Calculate the remainder when 50 is divided by r.
23
Let d = 40 - 36. Suppose 0 = -d*s - 2*r - 26, -2*s + 2*r = 4*r + 16. Let a = 50 + s. Calculate the remainder when 133 is divided by a.
43
Suppose 4*w + 164 = 4*a, 19*a - 22*a + 2*w + 125 = 0. What is the remainder when 386 is divided by a?
42
Let h be (1*-5)/(50/100). What is the remainder when 99 is divided by (-2)/(-5) - 3/h*22?
1
Let c(h) = -h**3 - 29*h**2 + 99*h + 4664. Let b = 115 - -813. Calculate the remainder when b is divided by c(-26).
60
Let x = -3333 + 3456. What is the remainder when x is divided by 54?
15
Let t = 4408 + -4323. Calculate the remainder when 1867 is divided by t.
82
Let v(r) = -3*r**3 - 12*r**2 + 19*r + 17. What is the remainder when v(-10) is divided by 7?
3
Let f(g) = 98*g - 565. What is the remainder when 1217 is divided by f(6)?
21
Suppose 4*k + 4 = h, -2*k + 0*h - 2 = -h. Let q(z) = -z**2 + 27*z - 31. Let o be q(26). Calculate the remainder when 7 is divided by (k - 1)*(5 - (o + 11)).
1
Let g = -19038 - -20563. Calculate the remainder when g is divided by 504.
13
Suppose 0 = -2*i + 4*o + 194, -4*i = -9*i + 4*o + 485. Suppose -2*a - 53 = -g + i, 0 = -4*g - 2*a + 560. Calculate the remainder when g is divided by 18.
16
Suppose 1 + 3 = 2*m. Suppose 81 + 79 = m*z. Calculate the remainder when z is divided by 17.
12
Suppose 156 = s + 2*k, -4*s + 0*s + 616 = 4*k. Let l = -17 + 31. What is the remainder when s is divided by l?
12
Calculate the remainder when (-2)/12 + (43814/9)/(596/447) is divided by 13.
11
Let i(j) = -11*j - 58*j - 8*j + 6. Let h(d) = d**2 + 56*d - 60. Let s be h(-57). What is the remainder when i(s) is divided by 40?
37
Suppose 0 = -4*a + 3*z + 17670, 5*a - 4*z - 8233 = 13854. What is the remainder when a is divided by 201?
198
What is the remainder when 3375 is divided by (-20)/(28/(-266) + (-12)/247)?
125
Let q = 19 - 30. Let j(d) = 7*d + 20. Let y be j(q). What is the remainder when ((-72)/14)/(y/266) is divided by 15?
9
Suppose -289*q - 22792 = -257749. What is the remainder when q is divided by 27?
3
Let h = 34 - -13. Suppose 2*x - x + 5*l = -7, 5*l - 25 = -5*x. Calculate the remainder when h is divided by x.
7
Let b = 26843 - 26012. Calculate the remainder when b is divided by 122.
99
Let z = 11 + 6. Suppose -y + 141 = 3*x, -4*y + 5*x + 495 = -35. Calculate the remainder when y is divided by z.
16
Suppose 0 = -3*z - 3*n - 306, 4 + 96 = -z - 2*n. Let p = z + 451. Calculate the remainder when p is divided by 32.
27
Suppose 4*i + 1 = -2*o + 7, 0 = -2*i + 4*o + 8. What is the remainder when 37 is divided by i/(((-72)/(-28))/9)?
2
Let v(k) = k**2 + 2*k + 20. Let p(u) = 160*u + 2317. What is the remainder when p(-8) is divided by v(0)?
17
Suppose 5*v - n - 18 = 0, 0 = 2*v - 2*n + n - 6. Suppose 16*w + v*w - 940 = 0. What is the remainder when w is divided by 13?
8
Calculate the remainder when 630 is divided by (63/(-147))/((-4)/(1 + 83)).
0
Suppose 2*u + 85 + 1021 = q, -2*u + 5470 = 5*q. What is the remainder when 1147 is divided by q?
51
Let j = 77 + -16. Suppose 0 = -3*o + 3, -j = -3*y + y - o. Suppose -18*h - y = -20*h. What is the remainder when 74 is divided by h?
14
Let i(u) = | {
"pile_set_name": "DM Mathematics"
} |
f 1748 and 5092.
76
Calculate the greatest common factor of 20336 and 5224.
8
Calculate the highest common factor of 1133 and 472049.
103
What is the highest common factor of 46 and 730342?
46
Calculate the highest common factor of 285 and 3095670.
285
What is the highest common divisor of 12 and 1673340?
12
Calculate the highest common factor of 18799 and 11.
11
Calculate the greatest common divisor of 197904 and 558.
186
Calculate the greatest common factor of 154052 and 76.
76
What is the greatest common factor of 158754 and 12?
6
What is the greatest common factor of 108 and 194130?
54
Calculate the greatest common divisor of 37329 and 3749.
23
Calculate the greatest common factor of 1436726 and 62.
62
What is the highest common divisor of 51470 and 50?
10
Calculate the highest common divisor of 469 and 6748.
7
What is the highest common factor of 57 and 5434?
19
What is the highest common divisor of 156982 and 112?
14
Calculate the highest common divisor of 174144 and 60.
12
Calculate the highest common divisor of 58642 and 4304.
538
Calculate the greatest common divisor of 182 and 7488.
26
Calculate the highest common divisor of 105 and 456708.
21
Calculate the highest common factor of 1424 and 1264.
16
Calculate the highest common factor of 1060 and 8692.
212
Calculate the greatest common factor of 44188 and 44.
4
What is the greatest common factor of 2358186 and 6?
6
What is the highest common divisor of 78 and 1698?
6
Calculate the highest common divisor of 923 and 45937.
71
Calculate the greatest common factor of 1463 and 4807.
209
Calculate the greatest common factor of 871866 and 18.
18
Calculate the greatest common divisor of 20966 and 44.
22
Calculate the greatest common factor of 3801 and 1701.
21
What is the highest common factor of 16 and 108424?
8
What is the highest common divisor of 397 and 3441593?
397
What is the highest common divisor of 2840160 and 915?
915
What is the highest common divisor of 7160 and 256?
8
Calculate the highest common factor of 69 and 4519477.
23
Calculate the greatest common factor of 414 and 56258.
46
Calculate the highest common factor of 304 and 4731.
19
What is the highest common divisor of 216 and 1778760?
216
What is the highest common divisor of 75 and 10475?
25
What is the greatest common divisor of 10024 and 9666?
358
Calculate the greatest common divisor of 2450 and 4.
2
What is the highest common divisor of 207822 and 190?
38
What is the highest common divisor of 4 and 1242610?
2
What is the highest common divisor of 31382 and 71?
71
Calculate the greatest common factor of 442 and 18632.
34
Calculate the highest common divisor of 35 and 287161.
7
What is the highest common divisor of 2376 and 5736?
24
Calculate the highest common divisor of 130 and 12402.
26
What is the highest common factor of 2425 and 425?
25
Calculate the greatest common factor of 4790 and 62749.
479
Calculate the greatest common divisor of 5546 and 21056.
94
What is the greatest common factor of 495 and 308535?
15
What is the greatest common factor of 174216 and 336?
168
What is the highest common factor of 530695 and 55?
55
What is the greatest common factor of 1062 and 43614?
18
Calculate the greatest common factor of 181324 and 429.
143
What is the greatest common factor of 372 and 86676?
372
What is the greatest common divisor of 28400 and 5893?
71
What is the highest common divisor of 3336 and 456?
24
Calculate the highest common factor of 6439 and 959.
137
What is the highest common factor of 1812 and 1140654?
906
What is the greatest common factor of 170 and 47345?
85
What is the greatest common factor of 39669 and 33?
3
What is the greatest common divisor of 93 and 10617?
3
What is the highest common divisor of 2009 and 402829?
49
What is the highest common factor of 333 and 6253?
37
What is the greatest common divisor of 972 and 33777?
243
What is the highest common divisor of 254 and 7?
1
What is the highest common factor of 23775 and 225?
75
What is the highest common divisor of 17465 and 13825?
35
Calculate the highest common factor of 13 and 1424176.
13
What is the highest common factor of 42434 and 5194?
98
What is the highest common divisor of 808203 and 418?
209
What is the greatest common factor of 707277 and 843?
843
What is the greatest common divisor of 135 and 56349?
27
Calculate the highest common divisor of 351355 and 5.
5
Calculate the greatest common divisor of 20240 and 6380.
220
What is the highest common factor of 440 and 116710?
110
Calculate the highest common factor of 769302 and 18.
18
Calculate the greatest common factor of 276 and 102212.
92
Calculate the highest common divisor of 68 and 10788.
4
What is the highest common factor of 398529 and 18?
9
Calculate the highest common divisor of 27331 and 2.
1
Calculate the greatest common factor of 192 and 9144.
24
What is the highest common divisor of 241649 and 1169?
167
Calculate the greatest common divisor of 996459 and 24094.
1721
Calculate the highest common divisor of 2098581 and 3.
3
What is the greatest common factor of 12860 and 76?
4
What is the highest common divisor of 219643 and 157?
157
What is the greatest common factor of 1287 and 1611?
9
What is the greatest common factor of 896 and 4736?
128
What is the greatest common factor of 187864 and 184?
184
Calculate the greatest common divisor of 155924 and 3196.
68
Calculate the highest common divisor of 56 and 482468.
28
Calculate the greatest common divisor of 15985 and 80.
5
Calculate the highest common divisor of 41628 and 768.
12
Calculate the greatest common factor of 384 and 203712.
192
What is the greatest common divisor of 98416 and 144?
16
What is the highest common factor of 3224 and 196872?
104
What is the highest common divisor of 25 and 3630?
5
What is the highest common factor of 210 and 200445?
105
Calculate the highest common factor of 110 and 530.
10
Calculate the greatest common factor of 192 and 57472.
64
What is the highest common divisor of 14178 and 1390?
278
What is the greatest common divisor of 29300 and 500?
100
Calculate the greatest common factor of 8281989 and 166.
83
What is the greatest common factor of 1425 and 20325?
75
Calculate the highest common divisor of 2263 and 64015.
31
Calculate the highest common factor of 298842 and 30.
6
What is the greatest common divisor of 1258273 and 53?
53
What is the highest common divisor of 1071 and 10251?
153
What is the highest common divisor of 697675 and 110?
55
What is the highest common divisor of 28913 and 248253?
997
Calculate the greatest common divisor of 940 and 19035.
235
What is the greatest common factor of 904 and 49268?
452
Calculate the highest common factor of 3195 and 752742.
639
Calculate the highest common divisor of 76761 and 2133.
27
What is the highest common divisor of 215 and 31949?
43
What is the greatest common divisor of 21 and 3703?
7
What is the greatest common factor of 203450 and 1150?
50
Calculate the highest common factor of 32291 and 588.
49
What is the highest common divisor of 67070 and 570?
190
What is the greatest common divisor of 1436 and 146831?
359
Calculate the greatest common factor of 6532 and 13774.
142
Calculate the greatest common factor of 8477 and 692.
173
Calculate the highest common factor of 12 and 201732.
12
What is the greatest common divisor of 8550 and 2100?
150
What is the highest common divisor of 15291 and 63?
9
What is the highest common factor of 1353458 and 138?
46
What is the highest common factor of 225 and 957825?
225
What is the highest common factor of 4 and 178612?
4
What is the highest common divisor of 116022 and 2928?
366
What is the highest common divisor of 275 and 489555?
55
Calculate the greatest common factor of 52 and 86684.
52
What is the highest common factor of 63142 and 1834?
262
What is the highest common divisor of 121668 and 36?
12
What is the highest common factor of 240234 and 96?
6
What is the highest common divisor of 240 and 29670?
30
Calculate the highest common factor of 10208087 and 83.
83
Calculate the greatest common factor of 798 and 34048.
266
What is the greatest common divisor of 31 and 1632987?
31
What is the highest common factor of 581132 and 4?
4
Calculate the highest common factor of 19107 and 3069. | {
"pile_set_name": "DM Mathematics"
} |
unded to the nearest one hundred thousand?
903800000
Round 0.00453035353 to 6 decimal places.
0.00453
What is -33.03781048 rounded to 3 dps?
-33.038
What is -0.000446259306 rounded to 5 dps?
-0.00045
Round -145887950 to the nearest 1000000.
-146000000
What is -14895154.5 rounded to the nearest 1000000?
-15000000
Round -0.14184679 to 2 dps.
-0.14
Round -11.36900757 to 2 decimal places.
-11.37
Round 0.000068537295 to six decimal places.
0.000069
What is -0.1034393085 rounded to one decimal place?
-0.1
Round 0.00004249261227 to 5 decimal places.
0.00004
What is 1.0537322792 rounded to 2 decimal places?
1.05
What is 16244904.56 rounded to the nearest 100000?
16200000
Round 0.00056891863 to five dps.
0.00057
What is -0.1337660064 rounded to 4 decimal places?
-0.1338
What is -22285.734 rounded to the nearest 10000?
-20000
Round -570.91242 to 1 decimal place.
-570.9
Round -30.8914224 to 2 decimal places.
-30.89
Round 19000.7554 to the nearest one hundred.
19000
Round -0.00001108412254 to six decimal places.
-0.000011
What is -28591223 rounded to the nearest one million?
-29000000
Round 18.59969439 to four decimal places.
18.5997
Round 0.000031508209 to 6 dps.
0.000032
What is 0.00006120646429 rounded to 5 dps?
0.00006
Round -0.0903543896 to 3 dps.
-0.09
Round -3292778.165 to the nearest ten thousand.
-3290000
Round 0.7067794 to one dp.
0.7
Round 178356.918 to the nearest ten.
178360
Round -2620066.59 to the nearest 10000.
-2620000
Round -46883.5788 to the nearest integer.
-46884
Round -0.00043220247 to 6 dps.
-0.000432
What is -0.001141082801 rounded to four decimal places?
-0.0011
Round 0.000371135747 to seven decimal places.
0.0003711
Round 1824873.273 to the nearest 100000.
1800000
What is 0.096176718 rounded to five decimal places?
0.09618
What is 313360.32 rounded to the nearest one hundred thousand?
300000
Round 712177398 to the nearest one hundred thousand.
712200000
Round 2010244107 to the nearest one hundred thousand.
2010200000
Round -372734.956 to the nearest 1000.
-373000
Round 18423945000 to the nearest 1000000.
18424000000
What is -6151601.323 rounded to the nearest one thousand?
-6152000
Round 5.40403276 to one decimal place.
5.4
Round 0.0664488654 to three dps.
0.066
What is -122642.3954 rounded to the nearest 10000?
-120000
Round -0.0001373292933 to 5 decimal places.
-0.00014
What is 47280414 rounded to the nearest one hundred thousand?
47300000
What is -5770.6894 rounded to the nearest integer?
-5771
Round 0.0052598991 to three decimal places.
0.005
What is -0.000073822693 rounded to 5 dps?
-0.00007
Round -0.00003982182064 to five decimal places.
-0.00004
What is 0.00076431488 rounded to 5 dps?
0.00076
Round 6482.1355 to the nearest 1000.
6000
What is 231.47031 rounded to one decimal place?
231.5
Round -4.540558 to 3 decimal places.
-4.541
What is 124.947046 rounded to the nearest one hundred?
100
What is 408013.8895 rounded to the nearest ten?
408010
What is -264232.13 rounded to the nearest ten thousand?
-260000
What is -0.00000077930268 rounded to seven decimal places?
-0.0000008
Round 19.393762 to the nearest 10.
20
What is -52.3533596 rounded to 2 decimal places?
-52.35
Round 134294.788 to the nearest 100.
134300
What is -11692.368332 rounded to the nearest one thousand?
-12000
Round -0.0000241324379 to seven dps.
-0.0000241
Round 681727.13 to the nearest ten thousand.
680000
Round -17.193717 to one dp.
-17.2
Round -4.4957319 to zero decimal places.
-4
What is -89062343 rounded to the nearest ten thousand?
-89060000
Round -0.0443296395 to 3 decimal places.
-0.044
What is -557.05699 rounded to 0 dps?
-557
Round 18.62864889 to two decimal places.
18.63
What is 0.000284772739 rounded to 5 decimal places?
0.00028
Round -0.2712508913 to four decimal places.
-0.2713
What is -48.3221753 rounded to 1 dp?
-48.3
What is 60246598 rounded to the nearest 10000?
60250000
Round 0.00066485012 to seven dps.
0.0006649
What is 60955.9796 rounded to the nearest ten thousand?
60000
What is 0.0005945227249 rounded to 4 decimal places?
0.0006
Round 7328757.932 to the nearest 10000.
7330000
What is 2401827.3 rounded to the nearest one hundred thousand?
2400000
What is -19256829.2 rounded to the nearest 1000?
-19257000
What is -44432028.9 rounded to the nearest one hundred thousand?
-44400000
Round -0.603810485 to four decimal places.
-0.6038
Round 0.00910204173 to 3 decimal places.
0.009
Round 0.0002211044595 to 7 dps.
0.0002211
What is 0.000606097819 rounded to 5 dps?
0.00061
Round -0.013565298281 to three decimal places.
-0.014
Round -6.1827564 to 1 dp.
-6.2
Round -22.0071457 to 2 dps.
-22.01
What is 4040.92578 rounded to the nearest 100?
4000
Round 828744.758 to the nearest 10.
828740
Round 0.0000071923857 to 6 dps.
0.000007
What is 26.02006 rounded to 1 dp?
26
What is 75.595951 rounded to 1 decimal place?
75.6
Round 402542.31 to the nearest ten thousand.
400000
What is 2.290174597 rounded to three dps?
2.29
What is 606.482215 rounded to 2 decimal places?
606.48
Round 71966.4016 to the nearest one thousand.
72000
What is -43085063670 rounded to the nearest one million?
-43085000000
Round -0.00342904766 to 7 decimal places.
-0.003429
Round -1.77920215 to one decimal place.
-1.8
What is -9.442165 rounded to 0 dps?
-9
Round -0.000139973156 to 6 dps.
-0.00014
What is -23.365445 rounded to one dp?
-23.4
What is 12.7497136 rounded to three dps?
12.75
Round -48204.07793 to the nearest integer.
-48204
Round -225.946189 to one dp.
-225.9
What is 0.00204221845 rounded to 6 decimal places?
0.002042
Round -5554773940 to the nearest 1000000.
-5555000000
What is -8517743.028 rounded to the nearest 100000?
-8500000
What is -0.00036717951 rounded to five dps?
-0.00037
Round 0.272786447 to 1 decimal place.
0.3
What is -2855466.6 rounded to the nearest one hundred thousand?
-2900000
Round 0.5289155757 to four decimal places.
0.5289
Round 3.47859795 to the nearest integer.
3
What is -1386834.62 rounded to the nearest 10000?
-1390000
Round 90916760 to the nearest 100000.
90900000
Round -0.000187206938 to seven dps.
-0.0001872
Round -670515723.8 to the nearest 1000000.
-671000000
Round 1662.83276 to the nearest one hundred.
1700
What is 0.0207263368 rounded to six decimal places?
0.020726
Round -6499.67277 to the nearest 100.
-6500
What is -0.00119437007 rounded to five dps?
-0.00119
What is -0.0001835724013 rounded to five decimal places?
-0.00018
What is -335850.242 rounded to the nearest ten thousand?
-340000
Round -0.0000258620938 to 7 decimal places.
-0.0000259
Round -3727916 to the nearest 100000.
-3700000
Round 43931.28915 to the nearest ten.
43930
Round 0.919630684 to four decimal places.
0.9196
What is -1.82690474 rounded to 2 dps?
-1.83
What is 6145030850 rounded to the nearest 1000000?
6145000000
Round 647.10278 to the nearest 1000.
1000
Round 0.001421534509 to 7 decimal places.
0.0014215
Round 0.54241673 to three dps.
0.542
What is 0.090385193 rounded to 5 dps?
0.09039
Round 0.00158131878 to 4 decimal places.
0.0016
What is -2802060900 rounded to the nearest one million?
-2802000000
Round 0.448719428 to five decimal places.
0.44872
What is 1260032450 rounded to the nearest one million?
1260000000
What is -689040.2147 rounded to the nearest 100000?
-700000
Round 7.353626666 to one dp.
7.4
Round -181.3662 to the nearest 10.
-180
Round -2565240640 to the nearest 100000.
-2565200000
Round -3.725639 to 3 dps.
-3.726
What is 0.012075297 rounded to five dps?
0.01208
What is 427537200 rounded to the nearest 1000000?
428000000
What is -0.001700968072 rounded to seven decimal places?
-0.001701
What is 31023542 rounded to the nearest 10000?
31020000
What is -2015384.17 rounded to the nearest 100?
-2015400
Round -0.0000875204296 to five dps.
-0.00009
Round -0.000001832150685 to seven decimal places.
-0.0000018
Round 167.7174109 to 2 dps.
167.72
Round 0.0041000788 to 5 decimal places.
0.0041
Round 0.001153829441 to 6 decimal places.
0.001154
Round -0.314119329 to four dps.
-0.3141
Round -0.251624505 to one decimal place.
-0.3
Round -21716.11825 to the nearest 10.
-21720
What is -0.0366712626 rounded to 3 decimal places?
-0.037
Round -1727437.776 to the nearest 10000.
-1730000
What is -0.000000998259 rounded to six decimal places?
-0.000001
What is -0.00065909527 ro | {
"pile_set_name": "DM Mathematics"
} |
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