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first derivative of c(w). Factor x(r). (r - 1)*(r + 1) Let t(x) be the second derivative of x**7/168 - x**6/120 - x**5/80 + x**4/48 - 13*x. What is b in t(b) = 0? -1, 0, 1 Let z(g) = -99*g**4 - 155*g**3 - 63*g**2 - 9*g. Let l(q) = -q**4 - q**3 + q**2 - q. Let r(u) = l(u) - z(u). Factor r(a). 2*a*(a + 1)*(7*a + 2)**2 L...
{ "pile_set_name": "DM Mathematics" }
nd derivative of -4*w**6/15 + 299*w**5/10 - 98*w**4/3 + 2*w**2 + 6523*w - 2. Find the third derivative of v(i) wrt i. -192*i + 3588 Let u(r) be the first derivative of -93/7*r**7 - 7 + 0*r**6 + 0*r**2 + 0*r**5 - 5/3*r**3 + 0*r**4 + 12*r. Find the third derivative of u(q) wrt q. -11160*q**3 Let n(t) = 5*t**2 - 144*t - 1...
{ "pile_set_name": "DM Mathematics" }
the third biggest value? (a) u (b) 2/19 (c) -2 c Let v = -0.37 + 4.4. Let c = 7 - 7.03. Let j = c + v. What is the smallest value in j, 3, -4? -4 Let x = 3/640 + 15741/640. Let v = x + -1097/45. Which is the second biggest value? (a) 0.9 (b) -0.4 (c) v c Let f = 5 + -3. Let n = 2 - f. Let p = n - 0.4. What is the...
{ "pile_set_name": "DM Mathematics" }
t q be (-102)/(-85)*(-15)/(-9). Suppose 2*h + 8 = -3*l + 2, -h - 3*l = 9. Solve -h*c = 2*c - 5*v + 5, q*c - 4*v = -w for c. -1 Let k = 1505 + -1476. Solve q = 2*z - 1 - 10, 5*z = 4*q + k for q. -1 Suppose p + 43 - 56 = 0. Solve 2*a = -m - 6, 0*a - 3*a + 4*m = -p for a. -1 Suppose -x - 3*g = -9, 3*x = 3*g + 6 - 3. Let b...
{ "pile_set_name": "DM Mathematics" }
z and give l. 48 Express -9*l**3 + 19*l**3 - 2*l - 13*l**3 in the form k*l**2 + w*l + t*l**3 + b and give k. 0 Express -6*f + 2*f**3 + 5*f**4 + 541 + 0*f**4 - f**4 - 5*f**4 - 551 in the form d*f + l*f**2 + o*f**4 + g + p*f**3 and give d. -6 Rearrange (0 + 0 + d - 3*d - 5*d - d + (d + 2 - 2)*(-4 + 2 + 3))*(1 + 0 - 2)*(...
{ "pile_set_name": "DM Mathematics" }
3*x + 0*x) - 2*x + 2*x - x**2 + (1 + 0 - 2)*(2*x**2 - x**2 + 0*x**2) + 0*x**2 + x**2 + 0*x**2 to l*x + m*x**2 + u and give m. -3 Rearrange (-5 - 10 - 3)*(3*a + 2*a + 3*a) to the form u*a + h and give u. -144 Express 0*q**2 - q**3 - 3*q**2 - q - 25*q**4 + 34*q**4 in the form p + w*q**2 + d*q + i*q**3 + t*q**4 and give ...
{ "pile_set_name": "DM Mathematics" }
product of 1404 and 0.1? 140.4 What is -3048 times -0.1? 304.8 1.33 times -2 -2.66 Multiply -5 and 0.1626. -0.813 What is the product of -0.7 and 136? -95.2 1.4 * 15 21 Product of -4 and -2.4. 9.6 12.19 times 0.3 3.657 Product of -0.2 and -1.07. 0.214 Multiply 62 and 0.4. 24.8 Multiply 39.5 and 6. 237 What is 5 times ...
{ "pile_set_name": "DM Mathematics" }
e of 5*w**8/336 + 5*w**7/168 + w**6/96 - 31*w**2. Factor a(c). 5*c**3*(c + 1)*(4*c + 1)/4 Let q be -3 - (9/(-12))/(1/4). Factor 0*w**2 + q - 2/7*w**3 + 2/7*w. -2*w*(w - 1)*(w + 1)/7 Suppose -4*d = 5*f + 1, f + 0*d + 5 = -2*d. Suppose -f*x + 8 = x. Factor 37/3*b**x + 10*b**3 + 3*b**4 + 20/3*b + 4/3. (b + 1)**2*(3*b + 2)...
{ "pile_set_name": "DM Mathematics" }
. Round v to the nearest 1000000. 13000000 Let f = -15.92 - -17. Round f to one decimal place. 1.1 Let r = 23 + -60. Let w = -95 - r. Let y = w - -58.0000101. Round y to 6 decimal places. 0.00001 Let b(x) = x**3 + 9*x**2 - x - 7. Let d be b(-9). Let c be 0*(5/d)/5. Let t be (-111000)/((-3)/(-1)) + c. What is t rounded ...
{ "pile_set_name": "DM Mathematics" }
5/76. Factor 2/9*c + 0 - x*c**2. -2*c*(2*c - 1)/9 Let i(g) = -g**2 + g. Let f(j) = -6*j**2 - 15*j - 27. Let t(d) = f(d) - 3*i(d). Solve t(v) = 0 for v. -3 Let -v**2 + 12*v**5 + 5*v + 7*v**3 - 23*v**2 - v + 41*v**3 - 40*v**4 = 0. Calculate v. 0, 1/3, 1 Let o(x) = -x**5 - 3*x**4 - x**3 + 5. Let r(n) = n**4 - 1. Let w(t) ...
{ "pile_set_name": "DM Mathematics" }
0.4 (b) 0.3 (c) 3 b Let c(w) = 3 - 14*w + w**3 + 10*w**2 + 7*w**2 - 4*w**2. Let m be c(-14). Let p = 14/15 - 71/60. What is the closest to p in 0.2, -0.3, m? -0.3 Let r = -128.41 + 129. Let f = r + 0.01. Let k = 13/3 + -5. Which is the closest to 0? (a) k (b) 0.2 (c) f b Let t = 0.2 + 0.3. Let h be ((6/2)/1)/1. Le...
{ "pile_set_name": "DM Mathematics" }
-53)/(-14840))/((-3)/(-42)). 82 What is the value of (6/(-40))/(-1)*-6? -9/10 What is (3/5)/((-4724)/448780)? -57 (4590/80325)/(8/700) 5 (-222)/6*(-143)/(-143) -37 What is the value of 8580/1320*25/65*(-2)/(-37)? 5/37 What is ((12/(-81))/((-443)/(-45186)))/((-2)/9)? 68 -14*(44/(-4))/(-22) -7 Evaluate 1/12*-108*(-24)/19...
{ "pile_set_name": "DM Mathematics" }
*w**(3/10)/w) assuming w is positive. w**3 Simplify t**(-3/8)*t*t**(5/3)*t*((t/(t*t**(-1))*t)/t)**(-1/2) assuming t is positive. t**(67/24) Simplify (n**3/n**(1/4))/((n/(n*n*n**(-1)))/n)**49 assuming n is positive. n**(207/4) Simplify ((z**(-2))**31)**(-39) assuming z is positive. z**2418 Simplify (u/((u/((u*u/u**(-1/3...
{ "pile_set_name": "DM Mathematics" }
2 + 2*o Collect the terms in -2011*v - 1 + 2457*v + 1. 446*v Collect the terms in -3*t**3 + 2*t**3 - 24275 + 12142 + 12133. -t**3 Collect the terms in -7222 + 495*v**2 + 7222. 495*v**2 Collect the terms in 31*s**3 + 17*s - 62*s**3 + 5*s + 32*s**3 - 6*s. s**3 + 16*s Collect the terms in 76246205*t - 76246205*t - 24*t**2...
{ "pile_set_name": "DM Mathematics" }
er when 6143354 is divided by 1023810? 494 Calculate the remainder when 7043693 is divided by 44. 41 What is the remainder when 635389 is divided by 45384? 13 Calculate the remainder when 3587996 is divided by 48. 44 What is the remainder when 230182 is divided by 14339? 758 Calculate the remainder when 92627 is divide...
{ "pile_set_name": "DM Mathematics" }
Let i(q) = 3*q + 3. Let v(s) = -9*s - 1 - 2*s - 3*s + 37*s - 24*s. Give z*i(x) + 9*v(x). 3*x + 3 Let a(m) = 328*m**2 - 2*m - 22. Let d(l) = -131*l**2 + l + 9. Determine 5*a(b) + 12*d(b). 68*b**2 + 2*b - 2 Let i(o) = -o + 3. Suppose 0 = -3*l - 19 + 25. Let c(b) = -3. Calculate l*c(m) + 3*i(m). -3*m + 3 Let r(a) = 5*a**...
{ "pile_set_name": "DM Mathematics" }
7) + 3968640 Simplify sqrt(448) + 1*1*sqrt(448) + sqrt(448) + -5 - (0 + (2*3*sqrt(448))**2). -16133 + 24*sqrt(7) Simplify (2*-2*sqrt(209))/(sqrt(11) - sqrt(275)*2) + ((sqrt(513)*2)/sqrt(9))/(-1*-1*sqrt(3)). 22*sqrt(19)/9 Simplify (sqrt(153)/sqrt(729) + -4 + sqrt(17) + 4)**2 + -1*((-1*sqrt(17))**2*-5 - (2*sqrt(136))/sqr...
{ "pile_set_name": "DM Mathematics" }
3 wrt g? 12 Let a(h) = h**2 - 4*h - 2. Let t be a(5). Let m = t + -1. What is the second derivative of -m*l + 2*l - 3*l + l + l**2 wrt l? 2 Let y(h) = h**6 - h**5 - h**2. Let v(g) = -3*g**6 - 4*g**5 - 9*g**2. Let t(m) = v(m) - 4*y(m). Find the third derivative of t(c) wrt c. -840*c**3 Let c(u) be the third derivative o...
{ "pile_set_name": "DM Mathematics" }
d d to two dps. -0.01 Let s = -831.8931885 + 831.9. Round s to 5 dps. 0.00681 Let z = 119 + 201. Let c = 18352301949 - 18352302269.00000502. Let t = c + z. Round t to six dps. -0.000005 Let y be (-6 + 9 - 105/25)*5. Let s(a) = -2 - 331*a - 323*a + 18. Let x be s(y). What is x rounded to the nearest 1000? 4000 Let s = 1...
{ "pile_set_name": "DM Mathematics" }
q)*(9 - 5*q - 9)*((0 - q + 0)*(2 - 4 + 0) + q - q + 4*q). 30*q**3 - 30*q**2 Expand (-354 + 1361 + 1272)*(0 + 0 + 2*z). 4558*z Expand (0 + 2*c + 0)*(0 - 2 + 1) - 9*c - 12*c + 2*c. -21*c Expand (-6 + 5 - 1)*(-5*h**2 + 2*h**2 - 8 + 4) + 2*h**2 + 5*h**2 - 5*h**2. 8*h**2 + 8 Expand (-2 - 4 + 0)*(-7 + 12 + 17)*(0*a**3 + a**3...
{ "pile_set_name": "DM Mathematics" }
79)*(-2)/(-3) is divided by 19. 18 Suppose 4*j = 3*p + 222, 3*j - 95 = -4*p + 84. Suppose 60 = b + 2*b. Calculate the remainder when j is divided by b. 17 Suppose 3*o + 25 = 6*o + 4*l, -4*o = -2*l - 4. Calculate the remainder when 53 + (1 + 3 - o) is divided by 14. 12 Let u(o) = 6*o + 3. Calculate the remainder when u...
{ "pile_set_name": "DM Mathematics" }
hundred? -300 Let r be 2 - ((-4)/(-2) - (6 - 4)). Let k(a) = -82*a - 6. Let c be k(r). Round c to the nearest 100. -200 Let g = -2 - -1.5. Let m = -62276.43 + 62276.9299991. Let n = g + m. Round n to six decimal places. -0.000001 Suppose -15*k + 54 = -21*k. Round k to the nearest ten. -10 Let p = -42.027 + 0.027. Let ...
{ "pile_set_name": "DM Mathematics" }
res. 0.000540838 What is 6/5 of a gram in milligrams? 1200 What is 5347.09 days in weeks? 763.87 How many hours are there in two sevenths of a week? 48 What is 3/32 of a millennium in months? 1125 What is 37/5 of a gram in milligrams? 7400 How many days are there in 463599.99 milliseconds? 0.005365740625 What is 0.4552...
{ "pile_set_name": "DM Mathematics" }
: 1, h: 1, v: 2, l: 3}. 1/570 What is prob of sequence vp when two letters picked without replacement from {p: 1, v: 1, m: 2, e: 1, u: 2, r: 1}? 1/56 What is prob of sequence yl when two letters picked without replacement from yssssslsylysy? 2/39 What is prob of sequence tqtt when four letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
) 54.2652 a What is the closest to -0.4 in -22, 2, 242, 1/6, 4? 1/6 Which is the closest to -8? (a) -3/5 (b) -0.7 (c) 2 (d) -6/13 (e) 6.5 b What is the closest to -160/97 in 6, -28, -4? -4 Which is the nearest to 2? (a) -1/4 (b) 124261 (c) 5 a What is the nearest to 0.24 in -1/14, -228/7, 0.1? 0.1 Which is the ...
{ "pile_set_name": "DM Mathematics" }
s. -0.01 Let l = 251889.13418 + -251885. Let r = l + -0.13386. Let f = 4 - r. Round f to four dps. -0.0003 Let y = -16 + 39. Let x = 22.978 - y. What is x rounded to 2 decimal places? -0.02 Let d = 442.378 - 442. Round d to two dps. 0.38 Let p = -70 + 110. Let u = -39.724 + p. Let i = u - 0.2. Round i to two dps. 0.08 ...
{ "pile_set_name": "DM Mathematics" }
-1197? -978 What is the next term in -781, -785, -789? -793 What comes next: 60859, 60862, 60867, 60874, 60883, 60894, 60907? 60922 What is the next term in -28, -51, -76, -103, -132, -163, -196? -231 What is next in -49, -54, -59, -64? -69 What is the next term in 17, -20, -73, -136, -203, -268? -325 What comes next: ...
{ "pile_set_name": "DM Mathematics" }
assuming u is positive. u**(-725/2) Simplify (b**(-1)/b**(-3/8))**(-39)*((b**(2/7)*b)/(b**(-11)/b))**35 assuming b is positive. b**(3915/8) Simplify (((h**(2/3)*h)/h)**5/(h**(-9)*h**(-7)))**38 assuming h is positive. h**(2204/3) Simplify ((((a**(2/5)/a*a)/(a/a**(-4)))**9)**(3/11))**(-1/11) assuming a is positive. a**(...
{ "pile_set_name": "DM Mathematics" }
57/(-21). Let x(m) = 2120*m**3 - 160*m**2 - 160*m + 160. Let d(t) = -40*t**3 + 3*t**2 + 3*t - 3. Calculate g*d(z) - 3*x(z). 40*z**3 Let d(l) be the second derivative of 29*l - 1/6*l**3 + 3*l**2 + 2. Let x(t) = 1. What is d(s) - 5*x(s)? -s + 1 Let c(g) = 6*g + 9. Let v(w) = 255 + 2473*w - 2476*w - 259. Suppose 5*a - 21 ...
{ "pile_set_name": "DM Mathematics" }
in base 11? -16a Convert 1 (base 8) to base 15. 1 -5 (base 9) to base 7 -5 110 (base 5) to base 2 11110 Convert 14b (base 13) to base 2. 11101000 211 (base 4) to base 16 25 What is b (base 12) in base 3? 102 What is -5 (base 13) in base 11? -5 Convert -2 (base 13) to base 7. -2 What is -30 (base 8) in base 6? -40 What...
{ "pile_set_name": "DM Mathematics" }
-0.3700616 minus 0.06? -0.4300616 Calculate -2 - 0.0418361393. -2.0418361393 What is 0.3 take away -30774864? 30774864.3 Subtract 0.09 from -183.7419. -183.8319 Total of -0.04163 and -2336810. -2336810.04163 Calculate 3.3203 + -0.3252. 2.9951 What is 0.06 plus 1090199? 1090199.06 What is the difference between -0.4 and...
{ "pile_set_name": "DM Mathematics" }
8*u Expand (-c + 1 - 1)*(5*c + 0*c - 2*c) + 0 + 2*c**2 + 0 - 3*c - 2*c**2 + 3*c + (0 - c + 0)*(-2*c + 3*c + 0*c). -4*c**2 Expand -1 + 1 - u + (-2*u + 0*u + 3*u - 2 - 2*u + 2 + (-2 - 1 + 2)*(u - 1 + 1))*(-5 + 0 + 3). 3*u Expand (6*f**2 - 22*f**2 - 16*f**2)*(0 + 0 - 2). 64*f**2 Expand (4 - 3 + 6)*(-3 + w**3 + 3) - w**3 ...
{ "pile_set_name": "DM Mathematics" }
t to v. 18*v - 3*w**3 - 191*w**2 What is the third derivative of 205*d**5 - 2*d**4 - 6*d**3 - 4*d**2 + 832*d? 12300*d**2 - 48*d - 36 What is the third derivative of 28447*m**4 - 12*m**3 + 4055*m**2 + m + 12 wrt m? 682728*m - 72 Find the second derivative of -12*o**3 + 274*o**2 + 845*o + 3 wrt o. -72*o + 548 Find the fi...
{ "pile_set_name": "DM Mathematics" }
ctor 0 - 1/4*q**v - 1/4*q. -q*(q + 1)/4 Find k, given that 15/2 - 35*k + 95/2*k**2 - 20*k**3 = 0. 3/8, 1 Suppose -7*t + 145 = 124. Suppose 3/5*k**t + 0 - 1/5*k - 2/5*k**4 + 0*k**2 = 0. Calculate k. -1/2, 0, 1 Suppose 0*z - 4 = -z, -u + 5*z = 18. Let t(o) be the second derivative of 0*o**u - 1/15*o**5 + 0 + 0*o**3 + 4*o...
{ "pile_set_name": "DM Mathematics" }
. -1230000 What is 0.03373005 rounded to five decimal places? 0.03373 Round 4470030 to the nearest 100000. 4500000 What is -40091000 rounded to the nearest 100000? -40100000 What is -1766643 rounded to the nearest one hundred thousand? -1800000 Round 11279100 to the nearest 100000. 11300000 What is 201.9616 rounded to ...
{ "pile_set_name": "DM Mathematics" }
, -0.3, 3/7 Put -1, 0, -49 in decreasing order. 0, -1, -49 Put 4, 2, 3, -68 in increasing order. -68, 2, 3, 4 Put 6, -4/7, 3/5, -5 in decreasing order. 6, 3/5, -4/7, -5 Put 7, -1, 2, -5 in increasing order. -5, -1, 2, 7 Sort -0.3, 1, -0.5, -71/5, -2/15. -71/5, -0.5, -0.3, -2/15, 1 Put -2, -25, -3, 4, 5 in increasing or...
{ "pile_set_name": "DM Mathematics" }
112142 (base 5) to base 15. a6d2 What is -234403 (base 5) in base 12? -5074 Convert 2055 (base 8) to base 7. 3055 What is -32ea (base 16) in base 4? -3023222 21a4 (base 13) to base 15 15d2 What is -180 (base 10) in base 8? -264 What is -210b0 (base 12) in base 6? -532340 2230013 (base 4) to base 16 2b07 -12211011 (base...
{ "pile_set_name": "DM Mathematics" }
of 75945, 151891, 227839, 303789? v**2 + 75943*v + 1 What is the r'th term of -42, -314, -966, -2172, -4106, -6942, -10854? -29*r**3 - 16*r**2 - 21*r + 24 What is the x'th term of -51641, -103273, -154905, -206537, -258169? -51632*x - 9 What is the f'th term of 45105, 45118, 45147, 45198, 45277? f**3 + 2*f**2 + 45102 ...
{ "pile_set_name": "DM Mathematics" }
0, -3, d Suppose 4*f - 5*g - 16 = 0, 2*f + 4 = 3*f + 3*g. Suppose -5*v + f*n - 7*n = 35, 5*v = 5*n + 5. Sort -5, v, 4 in descending order. 4, v, -5 Let q = 1.3 + -1.2. Put -2, -4, q in decreasing order. q, -2, -4 Let d = -1 + 3. Suppose -2*g - 10 = 2*y, 4*y - d*y + 2 = 0. Put 4, g, 2 in decreasing order. 4, 2, g Let c...
{ "pile_set_name": "DM Mathematics" }
derivative of -522*i**2 + 22666*i + 377342067 wrt i. -1044*i + 22666 What is the second derivative of -4425073*d**2 + 2343*d - 732? -8850146 Find the second derivative of -1002*r**3 + 21494*r**2 + 6650639*r - 9 wrt r. -6012*r + 42988 Find the third derivative of p**4*q**2 - 89*p**4*q - 953*p**3*q - 3*p**2*q + 20644*p**...
{ "pile_set_name": "DM Mathematics" }
picking 1 e and 2 i? 1/272 What is prob of picking 1 h and 1 t when two letters picked without replacement from {t: 2, k: 7, f: 2, h: 1, p: 1, d: 1}? 2/91 What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, g: 1, k: 1, t: 1}? 1/5 Three letters picked without replacement from {k: ...
{ "pile_set_name": "DM Mathematics" }
m*g. Let u(q) = 41*q**2 + 9*q + 9. Is u(t) prime? False Is (-70)/(-80) + 74405345/136 a prime number? False Suppose 20119 = -v + b + 447637, 0 = v + 3*b - 427498. Is v prime? True Suppose -5*j - 190960 = -12*j. Suppose 0 = -15*l + j + 17015. Is l a composite number? False Let u(f) = f**3 - 6*f**2 + 4*f. Let x be u(3). ...
{ "pile_set_name": "DM Mathematics" }
1141 composite? True Let w(j) = -10*j**3 - 5*j**2 - 5*j - 3. Suppose -5*g - 9 = 3*k, -k - 1 + 9 = -2*g. Suppose -4*y - 4*f - 1 = -5, -k*y + 4*f = 22. Is w(y) a composite number? True Let p(m) = m**3 - m**2 - 4*m + 1. Let f be p(3). Let j = 213 + -211. Suppose 3*a - 393 = j*i, f*a = 4*a + 4*i + 387. Is a composite? True...
{ "pile_set_name": "DM Mathematics" }
te the lowest common multiple of 145665 and 429. 1602315 What is the least common multiple of 364 and 55536? 388752 Find the common denominator of 1/10 and 27/325382. 1626910 Calculate the common denominator of 107/25256 and -16/28413. 227304 Find the common denominator of 13/168 and 74/417. 23352 Calculate the common ...
{ "pile_set_name": "DM Mathematics" }
672.1 rounded to the nearest one hundred? -40700 Round -5841.63 to the nearest 10. -5840 Round -26544.9 to the nearest 100. -26500 What is 31887200 rounded to the nearest 100000? 31900000 What is 1189647.6 rounded to the nearest 10000? 1190000 Round -0.000006237563 to six decimal places. -0.000006 What is 0.012441 roun...
{ "pile_set_name": "DM Mathematics" }
(700). 20*sqrt(7) Simplify sqrt(304) + ((sqrt(304) + 2 - sqrt(304) - sqrt(304))*3)**2 + (sqrt(304) + -1)*-1. -144*sqrt(19) + 2773 Simplify (-5*(sqrt(304) + 0))**2. 7600 Simplify ((-4*sqrt(128))/(sqrt(484)*2))**2. 128/121 Simplify sqrt(65)/(sqrt(60)/(sqrt(48) + sqrt(12))). 3*sqrt(13) Simplify (1*sqrt(1225) + sqrt(1225) ...
{ "pile_set_name": "DM Mathematics" }
rime? False Let h(d) = 13*d + 6. Let b(s) = 26*s + 12. Let p(o) = 2*b(o) - 5*h(o). Is p(-9) a prime number? False Suppose -d - 771 = 5*y, 5*d + 868 - 113 = -5*y. Let i = -102 - y. Is i prime? True Suppose -x = -2*j + 725, 0*j = 3*j. Let p = 1114 + x. Is p a composite number? False Let p = 103968 - 55522. Is p prime? Fa...
{ "pile_set_name": "DM Mathematics" }
? 166 What is 585 minutes before 9:42 AM? 11:57 PM How many minutes are there between 9:00 PM and 6:18 AM? 558 What is 9 minutes after 1:20 PM? 1:29 PM How many minutes are there between 7:19 PM and 5:37 AM? 618 What is 596 minutes after 4:38 PM? 2:34 AM What is 186 minutes after 10:55 AM? 2:01 PM How many minutes are ...
{ "pile_set_name": "DM Mathematics" }
highest common divisor of b and 42. 42 Suppose 5633 = 8*h - 21367. Calculate the greatest common divisor of h and 270. 135 Let l = 28 + -32. Let r be 0 + 3/1 - (l + 5). Suppose 2*o - 14 + 0 = -4*h, 5*h = o + 7. Calculate the highest common divisor of r and h. 2 Let n = -5 - -20. Let i be (33/(-4))/(n/(-780)). Let j be...
{ "pile_set_name": "DM Mathematics" }
= -3*z. Let q(n) = n**3 + 4*n**2 - n - 2. Let i be q(-4). Let w(r) = 5*r - 5*r + 8*r**i - r**2. Determine x(w(y)). -21*y**2 Let b(z) = z**2 - 4. Let g(n) = -5. Let i(c) = 5*b(c) - 4*g(c). Let q(w) be the third derivative of w**4/12 + 2*w**2. Determine i(q(r)). 20*r**2 Let s(l) = 1 - 10 + 9 + l. Let o(b) = -10*b. Determ...
{ "pile_set_name": "DM Mathematics" }
v**3 - 9*v**3 + 37*v**3 - 45*v**3 + 20*v**3. 3*v**3 Collect the terms in -104225160958 - s + 104225160958. -s Collect the terms in -22 + 4 + 1191*n + 986*n - 1899*n + 144. 278*n + 126 Collect the terms in -1 + 1328*b**2 - 2775*b**2 + 1 + 1976*b**2. 529*b**2 Collect the terms in -4*z - 1062*z**2 - 4*z - 1222*z**2 + 420*...
{ "pile_set_name": "DM Mathematics" }
4*y for y. 3 Suppose 4 + 2 = 2*z. Let w(u) = -5*u - 8. Let x be w(-2). Suppose 5*b - 4 = x*y, -6 = -3*b + 8*b + 3*y. Solve 2*t - z*t + 1 = b for t. 1 Let r be (3 + -5 - 1) + 6. Suppose 7*f - 28 = r*f. Solve 2*i + f = -3 for i. -5 Let s = 0 + 4. Let c = 35 - 32. Solve 0 = s*t - 5*t + c for t. 3 Let h(m) = -5*m**2 + 38*m...
{ "pile_set_name": "DM Mathematics" }
of sequence wt. 5/342 Three letters picked without replacement from {d: 2, q: 12, n: 1, w: 1, o: 1}. Give prob of sequence own. 1/4080 What is prob of sequence ct when two letters picked without replacement from tzjvcft? 1/21 Calculate prob of sequence zz when two letters picked without replacement from {v: 3, t: 2, b...
{ "pile_set_name": "DM Mathematics" }
18 What is the remainder when 329 is divided by 30? 29 What is the remainder when 474 is divided by 20? 14 Calculate the remainder when 1382 is divided by 213. 104 What is the remainder when 847 is divided by 126? 91 What is the remainder when 78 is divided by 61? 17 Calculate the remainder when 61 is divided by 34. 27...
{ "pile_set_name": "DM Mathematics" }
3)/(-25) - 1 - 30/(-375). 0 Calculate (((-18)/(-15))/2)/(1/(-10)). -6 Calculate (2 - 6) + (31 - 26). 1 Calculate 54/(-14) - -4 - 6/(-56). 1/4 Calculate (-2)/(-4)*(-44)/(-143). 2/13 What is 4/14 + (-16)/56? 0 What is (1/(-5))/(-2 - (-24)/20)? 1/4 What is the value of 26/130 - 62/210? -2/21 (-4)/6*-3 - (-111 + 116) -3 Wh...
{ "pile_set_name": "DM Mathematics" }
70. 10 What is the greatest common divisor of 340719 and 24041? 829 Calculate the highest common divisor of 246 and 30684933. 123 What is the greatest common divisor of 57648 and 46? 2 What is the greatest common divisor of 77983446 and 4206? 4206 Calculate the greatest common divisor of 42944 and 129536. 704 Calculat...
{ "pile_set_name": "DM Mathematics" }
AM and 3:42 PM? 514 How many minutes are there between 9:28 AM and 10:16 AM? 48 How many minutes are there between 10:20 PM and 9:29 AM? 669 What is 448 minutes before 2:23 AM? 6:55 PM What is 481 minutes before 3:02 AM? 7:01 PM What is 474 minutes before 3:41 AM? 7:47 PM How many minutes are there between 3:15 PM and...
{ "pile_set_name": "DM Mathematics" }
s(c)? -2 Let z(u) = u**3 - 23*u**2 + 22*u + 4. Suppose -1937*v + 110 = -1932*v. What is z(v)? 4 Let w(m) = 7*m**2 - 16*m - 52. Let u be w(4). Let s(z) = z**3 + 5*z**2 + 7*z + 11. Give s(u). -1 Let b(i) = -i**2 - 4*i + 23. Suppose -355 = -34*m - 57*m + 20*m. Determine b(m). -22 Let j(i) = -2*i**3 + 8*i**2 + 6*i - 1. Let...
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 1759473? 3, 195497 What are the prime factors of 465586? 2, 11, 21163 What are the prime factors of 91234? 2, 11, 13, 29 What are the prime factors of 12844897? 13, 988069 List the prime factors of 740309. 79, 9371 What are the prime factors of 15922060? 2, 5, 7, 11, 211 List the prime factors o...
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from zhbttbm. What is prob of picking 1 h and 2 b? 1/35 Three letters picked without replacement from yyyeyttyttttttte. Give prob of picking 1 y and 2 e. 1/112 Calculate prob of picking 1 k, 1 c, and 1 p when three letters picked without replacement from wkkcwlwwcwwkccpw. 3/140 Fo...
{ "pile_set_name": "DM Mathematics" }
n 32, 34, 36, 38, 40? 42 What is the next term in 226, 450, 660, 850, 1014? 1146 What is next in 2, 4, 8, 14, 22, 32? 44 What is the next term in -43, -58, -97, -172, -295? -478 What is the next term in 173, 192, 211, 230, 249, 268? 287 What is next in -297, -586, -859, -1110, -1333? -1522 What is next in -103, -105, -...
{ "pile_set_name": "DM Mathematics" }
, 159, 149, 135? -2*y**2 + 167 What is the u'th term of -303, -249, -109, 159, 597, 1247? 7*u**3 + u**2 + 2*u - 313 What is the a'th term of -212, -219, -238, -275, -336, -427? -a**3 - 211 What is the c'th term of -44, -67, -88, -107? c**2 - 26*c - 19 What is the s'th term of -17, -25, -33, -41? -8*s - 9 What is the g'...
{ "pile_set_name": "DM Mathematics" }
33 Two letters picked without replacement from {l: 8, f: 5, z: 7}. What is prob of picking 1 f and 1 z? 7/38 Calculate prob of picking 4 h when four letters picked without replacement from {c: 9, h: 5}. 5/1001 What is prob of picking 1 f and 1 p when two letters picked without replacement from hfppffpfplfff? 14/39 Two ...
{ "pile_set_name": "DM Mathematics" }
alculate 613*0.1. 61.3 Work out -61.377 * 0.3. -18.4131 What is the product of 21801 and 10? 218010 Multiply -9 and -242.63. 2183.67 982 * -487 -478234 What is -47 times -1123? 52781 Calculate 6.91*0.025. 0.17275 Product of -0.3383 and -0.04. 0.013532 Product of 5.524 and 14.7. 81.2028 31311*0.9 28179.9 Product of -0.0...
{ "pile_set_name": "DM Mathematics" }
4 + 34*x**2 + 102868 Let w(k) be the third derivative of -73*k**5/60 - 27*k**2. Let r(j) be the first derivative of -j**2 - 67. Give w(r(l)). -292*l**2 Let i(p) be the second derivative of 5*p**3/6 + 4089*p + 4. Let b(c) be the first derivative of -3*c**3 - 1. Give b(i(w)). -225*w**2 Suppose -17 = -3*q + 10. Let m(u) =...
{ "pile_set_name": "DM Mathematics" }
hundreds digit of 17912? 9 What is the thousands digit of 1844? 1 What is the hundreds digit of 200? 2 What is the tens digit of 144406? 0 What is the ten thousands digit of 22045? 2 What is the units digit of 6971? 1 What is the units digit of 176624? 4 What is the thousands digit of 28442? 8 What is the ten thousand...
{ "pile_set_name": "DM Mathematics" }
igit of m? 1 Let h(b) = -b**3 + 29*b**2 + 16*b - 14. What is the thousands digit of h(28)? 1 Let a be (4 - 3)/((-5)/(-5)). Suppose 2*x - 2 = -h, 0 = -x - 0*x - a. Suppose 4*t - 188 = -2*g, h*t - 5*g + 2*g - 168 = 0. What is the units digit of t? 5 Suppose 10 = -3*p + p. Let k be ((-20)/50)/((-1)/p). What is the tens di...
{ "pile_set_name": "DM Mathematics" }
the first derivative of -97*s**5/60 - 19*s**4/8 + 2*s**3 - 2*s + 7. Let j(v) be the third derivative of o(v). Differentiate j(t) with respect to t. -194 Let v(r) = -49*r + 367. Let f(a) = 75*a - 550. Let i = -147 - -140. Let q(p) = i*v(p) - 5*f(p). What is the first derivative of q(k) wrt k? -32 Let j(i) be the third d...
{ "pile_set_name": "DM Mathematics" }
et c = -66/13 - -145/26. Put 3, c, 1/6 in ascending order. 1/6, c, 3 Let u be (-6)/(-9) - (-2)/6. Let i = -53 - -38. Let x = i - -14. Put x, u, -2 in increasing order. -2, x, u Let d be -1*2 - (-4 + (9 - 18)). Sort 2, 7, -1, d in decreasing order. d, 7, 2, -1 Let p be ((-125)/(-22) + 6/(-33))*2. Sort -5, p, -1, 5. -5, ...
{ "pile_set_name": "DM Mathematics" }
4/7? 0.04 What is the fourth smallest value in 3, -82, 2, -2? 3 What is the smallest value in 1, -169/5, -1/6, -4? -169/5 What is the second biggest value in -3/14, -1/9, 13, 3? 3 What is the fourth biggest value in 2/3, -10, 2/13, 0.1, 5? 0.1 Which is the third smallest value? (a) 1/4 (b) -7675 (c) -3/5 (d) -0.4 d...
{ "pile_set_name": "DM Mathematics" }
39213? False Is 136802 a multiple of 5? False Is 22 a factor of 29896592? True Is 9028458 a multiple of 18? True Is 10622364 a multiple of 2082? True Is 242 a factor of 125226? False Is 32 a factor of 585370? False Does 1023 divide 19650807? True Is 423968 a multiple of 32? True Is 16199280 a multiple of 1510? True Doe...
{ "pile_set_name": "DM Mathematics" }
- 5*r(d)? d**2 + d + 2 Let z(x) = -3*x**3. Let f(c) = -2*c**3. Let l = 10 + -12. Let u be 111/(-2) + (-4)/8. Let a be l/(-7) - 208/u. Determine a*z(y) - 5*f(y). -2*y**3 Let v(w) = -9*w**2 - 5*w. Suppose 3*y = 2*n + 2*y + 5, -2*n - 30 = 4*y. Let l(k) = -5*k**2 - 3*k. What is n*l(u) + 3*v(u)? -2*u**2 Let l(h) = -29*h - 2...
{ "pile_set_name": "DM Mathematics" }
derivative of -h**7/735 + h**6/28 - 13*h**5/70 + 37*h**4/84 - 4*h**3/7 + 184*h**2 - h. Factor f(c). -2*(c - 12)*(c - 1)**3/7 Suppose -2*x + 37 = 2*x - 5*c, -4*c = -5*x + 44. Suppose -v = -5*v + x. Factor -8*a + 8*a**3 + 8*a**2 - 8*a**4 - 4*a**v - 11*a**4 + 15*a**4. -4*a*(a - 2)*(a - 1)*(a + 1) Let n(a) be the second de...
{ "pile_set_name": "DM Mathematics" }
-41*j + 4*y, -2*y - 33 = -3*j. Solve 9*o - 25 = j for o. 4 Suppose 5*t - 3*j = t + 137, -2*j + 72 = 2*t. Solve -18*b + 11*b - t = 0 for b. -5 Let p be 20/(-25) - 417/(-15). Let z = 8 + p. Suppose z = 4*n + n. Solve 3*c = n - 1 for c. 2 Let r(x) = 2*x**2 + 44*x - 578. Let n be r(10). Solve 19*q - 5 + n = 0 for q. -3 Le...
{ "pile_set_name": "DM Mathematics" }
1*5 - sqrt(2)) + (sqrt(152) - sqrt(152)*1*4)/(sqrt(8) - sqrt(96)/(sqrt(12) + sqrt(24)/sqrt(2))))*-2*5)**2. 93100 Simplify 4 + (4*(sqrt(720)*1 + sqrt(720)) + sqrt(720) + 1 + -1*sqrt(720) + 5)**2*-4*4. -737852 - 18432*sqrt(5) Simplify (-2*(sqrt(252) + 2 + 5 + 3 + 6*(sqrt(252) + -1*sqrt(252) + 3))*3 + 5)**2. 11736*sqrt(7)...
{ "pile_set_name": "DM Mathematics" }
+ 2*a(z). 3*z - 1 Let q(b) = -b + 3. Let w(t) = 8*t - 28. Calculate 12*q(c) + w(c). -4*c + 8 Let q(g) = 4*g**3 + 5*g**2 - g. Let w(t) = t**3 - 13*t**2 - 7*t + 7. Let r(y) = -2*y**2 - y + 1. Let j(m) = 7*r(m) - w(m). Determine 6*j(l) + q(l). -2*l**3 - l**2 - l Let n(h) = h. Let a(g) = -7*g + 22. Let x be a(3). Let z(s) ...
{ "pile_set_name": "DM Mathematics" }
05, 2168, 2129, 2088, 2045? -p**2 - 30*p + 2304 What is the g'th term of -27567, -27562, -27555, -27546, -27535, -27522, -27507? g**2 + 2*g - 27570 What is the f'th term of 13793, 13794, 13803, 13826, 13869? f**3 - 2*f**2 + 13794 What is the g'th term of -21275, -21281, -21287, -21293, -21299, -21305? -6*g - 21269 What...
{ "pile_set_name": "DM Mathematics" }
ve d(x(n)). 316*n**4 Let n(z) = 6*z**3 + z**2 + z. Let t be n(-1). Let w = -6 - t. Let r(l) = 0*l + w*l + 2*l - 4*l. Let g(a) = 4*a**2. Calculate r(g(u)). -8*u**2 Let p(o) = -10*o**2 - 5*o. Let l(y) = -41*y + 1. Calculate p(l(h)). -16810*h**2 + 1025*h - 15 Let o(g) be the third derivative of -g**5/60 - 37*g**2. Let f(k...
{ "pile_set_name": "DM Mathematics" }
1) Let k(h) = -4*h**2 - 92*h + 204. Let u(d) = -4*d - 5. Let w(z) = k(z) + 12*u(z). Factor w(q). -4*(q - 1)*(q + 36) Factor 1140*l**2 + 8450 + 2267*l + 1504*l**3 - 782*l**3 - 5358*l**2 + 324*l + 919*l. 2*(l + 1)*(19*l - 65)**2 Let r(h) be the third derivative of 23/30*h**5 - 13/6*h**4 - 11/120*h**6 - 2 + 4/3*h**3 + 13*...
{ "pile_set_name": "DM Mathematics" }
increasing order. -3018, -22, -19, 3.2 Sort 5, -1, 1865, -5, 1 in decreasing order. 1865, 5, 1, -1, -5 Put -2, -3, 835, 8276 in decreasing order. 8276, 835, -2, -3 Sort -5, -179, 1/7, 1, 0.3, 621 in decreasing order. 621, 1, 0.3, 1/7, -5, -179 Sort -38, -0.213, 2/7, 50, 0.2. -38, -0.213, 0.2, 2/7, 50 Sort -431, 1.93, -...
{ "pile_set_name": "DM Mathematics" }
07400/7 = 0. What is u? -5, 10, 14074 Suppose v**2 - 1935*v/7 + 94572/7 = 0. Calculate v. 444/7, 213 Solve 215*o**2 - 2270*o - 110520 = 0. -18, 1228/43 Factor 2*u**2 + 2066*u - 163836. 2*(u - 74)*(u + 1107) What is r in 20*r**3 - 2306115*r**2 - 576530*r = 0? -1/4, 0, 115306 Find h, given that 3*h**4 + 12228*h**3 + 3038...
{ "pile_set_name": "DM Mathematics" }
) in the form h*b**2 + p + c*b + g*b**4 + l*b**3 and give g. -2154 Express 21*q + 99*q**4 + q**2 + 97*q**4 - 197*q**4 in the form o + i*q**3 + c*q**2 + w*q**4 + p*q and give c. 1 Express -32*w**2 + 207*w**2 + 144*w**2 - 29*w**2 + 31*w**2 in the form s*w + g + q*w**2 and give q. 321 Express (j - j + j)*(2*j + 6 - 37 - 9...
{ "pile_set_name": "DM Mathematics" }
4)**2. -1032 + 36*sqrt(19) Simplify 1 + 3*-3*(-4 + sqrt(192) + 0 + sqrt(192) + sqrt(192) + -1 - ((sqrt(192) - 1*sqrt(192)) + 1 - (-3 + 1 + sqrt(192))))**2. -28223 + 4608*sqrt(3) Simplify -2 + ((sqrt(256) + (sqrt(256) - (sqrt(256) + -3*sqrt(256))*6 - sqrt(256)))/(sqrt(1152) - (sqrt(1152)*-2 - sqrt(1152))))**2 + 5. 385/7...
{ "pile_set_name": "DM Mathematics" }
at is the c'th term of 29807, 29805, 29801, 29795, 29787? -c**2 + c + 29807 What is the x'th term of -531, -552, -595, -666, -771, -916, -1107, -1350? -x**3 - 5*x**2 + x - 526 What is the g'th term of -524, -1315, -2374, -3701, -5296? -134*g**2 - 389*g - 1 What is the q'th term of -1, -20, -75, -184, -365, -636, -1015?...
{ "pile_set_name": "DM Mathematics" }
is the closest to 1.4? (a) 1/5 (b) -2 (c) 447/37 (d) -1/7 a Which is the nearest to -0.1? (a) 2/3 (b) 3 (c) -0.78 (d) 193 (e) 4 (f) -1/7 f Which is the closest to 0.2? (a) 0.0334 (b) 1/5 (c) -63 b What is the closest to -1/3 in -3/2, 1275, -1/3, -0.06? -1/3 Which is the nearest to 8? (a) 1/11 (b) -1/99 ...
{ "pile_set_name": "DM Mathematics" }
12. Let l = 1325/7 - 189. Let t = -2.567 - -3.567. What is the third smallest value in t, l, k? t Let b = 0.052 - 0.042. What is the fourth biggest value in 6/7, -3, 1/5, b? -3 Let w = -11715/8 + 1464. What is the second smallest value in w, -2/811, -1? w Let q = -2.89 + 3.3. Let f = -0.01 + q. Which is the second smal...
{ "pile_set_name": "DM Mathematics" }
(-3 + 3 + d)*(-2*d - 4*d + 4*d) in the form n*d**2 + z*d + o and give n. -197 Express -700*t**2 - 4*t**3 + 2*t**3 + 698*t**2 + 46*t as v*t**2 + y + q*t + i*t**3 and give v. -2 Rearrange 704*s**2 + 1136*s**2 + 474*s - 474*s to the form h*s**2 + a + j*s and give a. 0 Express 30413*v + 35564*v - 61147*v in the form p + g...
{ "pile_set_name": "DM Mathematics" }
3319 = -972*o - 57077 for o. -93 Solve 0 = -22*x - 214*x + 56*x - 360 for x. -2 Solve 5687 = -185*c + 17484 + 6703 for c. 100 Solve 177*h - 415*h - 301*h - 35*h - 31570 = 0 for h. -55 Solve -23446 - 6125 = -502*j - 4471 for j. 50 Solve -8726 = -839*y + 1342 for y. 12 Solve 5*h = 4063 - 4598 for h. -107 Solve -1225*d + ...
{ "pile_set_name": "DM Mathematics" }
753*b - 19 for b. -34 Solve 0 = -c - 2*n + 13, -5*c + 13*n - 11619 + 11638 = 0 for c. 9 Solve -5*u = -v + 21, 5*u + 1770730*v = 1770729*v - 29 for u. -5 Solve -10 = 27*a - 29*a, -14*a = 15*i + 6*a - 490 for i. 26 Solve 5*g = 2505*c - 2510*c - 170, -38 + 8 - 2 = -c - 7*c for g. -38 Solve -36 + 15 = -3*d - 3*f + 21, 0 = ...
{ "pile_set_name": "DM Mathematics" }
0, 2508, 3990? 5806 What comes next: 20229, 40459, 60693, 80931, 101173, 121419? 141669 What is next in -61896, -61899, -61878, -61821, -61716? -61551 What is the next term in 1186, 1202, 1226, 1258? 1298 What is next in -178, -402, -646, -922, -1242, -1618, -2062, -2586? -3202 What is the next term in 1315, 3033, 4751...
{ "pile_set_name": "DM Mathematics" }
5504? 2, 43 List the prime factors of 6420. 2, 3, 5, 107 What are the prime factors of 1472? 2, 23 List the prime factors of 1266. 2, 3, 211 What are the prime factors of 13750? 2, 5, 11 List the prime factors of 99451. 11, 9041 List the prime factors of 96587. 96587 List the prime factors of 41973. 3, 17, 823 What ar...
{ "pile_set_name": "DM Mathematics" }
80/129 Does -0.06 = -17? False Is -40486 bigger than -40486? False Is -2/1261 equal to 1? False Is 103 bigger than 102? True Are 332 and 2 equal? False Is 1067 less than 1068? True Is -2/167 at least 0.346? False Which is smaller: 9 or 64/7? 9 Which is smaller: -2782 or -2784? -2784 Which is bigger: 513 or 5640/11? 51...
{ "pile_set_name": "DM Mathematics" }
10 = 0. Suppose 0 = 2*s - w*i - 52010, -6 = i + 2*i. What is s rounded to the nearest 10000? 30000 Let n(a) = 574999*a + 5 - 3 + 2. Let h(b) = -2*b - 4. Let c be h(-4). Let l be n(c). What is l rounded to the nearest one million? 2000000 Let q = -0.27 - -0.270159. Round q to five decimal places. 0.00016 Let c = 203 - ...
{ "pile_set_name": "DM Mathematics" }
11247461*g**5 - 2*g**4 - 17*g + 99137 wrt g? 224949220*g**3 - 24*g**2 What is the derivative of 7397642*w + 24309348? 7397642 Find the third derivative of 3*f**5 + 53*f**4 - 11461*f**3 + 37*f**2 - 338*f + 1. 180*f**2 + 1272*f - 68766 Find the first derivative of 96743127*k**4*v**2 + 14*v**2 - 2687*v + 421 wrt k. 386972...
{ "pile_set_name": "DM Mathematics" }
ommon divisor of o and y. 29 Suppose 507 = r + 89. What is the highest common factor of 114 and r? 38 Let y(u) = 599*u + 2400. Let d be y(-4). Let a(c) = -2*c + 3. Let t be a(-6). Let s = t + -11. Calculate the greatest common factor of d and s. 4 Suppose -3*s = -4*s - 4*g - 12, 0 = -2*g - 6. Let k be ((-270)/(-3))/(s ...
{ "pile_set_name": "DM Mathematics" }
c - 1 = 3*c. Sort z, c, 0, t in descending order. t, z, 0, c Suppose 0 = -4*c + p - 4, -5*c - 5*p + 16 = -p. Suppose -5*j - 3*f - 378 = c, 4*f = -3*j + 5*j + 172. Let q = -79 - j. Sort 2, -3, 0, q. -3, q, 0, 2 Let d be (22/(-4))/(75/50) + (-30)/(-45). Let p = 25 - 30. Put 0, d, p, 86 in ascending order. p, d, 0, 86 Let...
{ "pile_set_name": "DM Mathematics" }
1100. Suppose -c - 358 = -z. Is c prime? True Let v = 15819 + -2602. Is v composite? False Let q(u) = u**2 - 17*u + 33. Let b be q(14). Is (-3)/(((-27)/(-118))/b) a prime number? False Suppose 2*b - 3*n - 19787 = 0, 4*b - 2*n - 39594 = -0*b. Is b a prime number? True Let g(h) = 3*h**2 + 67*h - 55. Is g(-48) a prime nu...
{ "pile_set_name": "DM Mathematics" }
Let b(n) = g*m(n) - 2*j(n). Calculate b(-2). 4 Let m(g) = -g**3 + 2*g**2 + g + 2. Let s(d) = d**3 - 2*d**2 + d + 1. Let n be s(2). Let w be m(n). Let f = 9 + w. Let y(b) = -b**2 + 4*b + 3. Calculate y(f). -2 Suppose -4*q + m = -1, -37*m + 42*m + 20 = 5*q. Let c(n) = -n**3 - 1. What is c(q)? 0 Let f(l) = l - 6. Let v b...
{ "pile_set_name": "DM Mathematics" }
. Let x(a) be the third derivative of -a**4/8 + a**2. What is x(g(v))? 9*v Let u(i) be the first derivative of -i**3/3 + 225. Let v(x) = -194*x**2 - 2. Give v(u(m)). -194*m**4 - 2 Let v(j) = j. Let x(n) = 318*n - 586. Determine v(x(a)). 318*a - 586 Let d(o) = 40*o**2. Let j(y) be the second derivative of -y**3/6 - 12*y...
{ "pile_set_name": "DM Mathematics" }
that -4*u**5 + 88*u**4 - 508*u**3 + 88*u**2 + 2096*u - 1760 = 0. -2, 1, 2, 10, 11 What is i in 2*i**2 - 7078*i + 14148 = 0? 2, 3537 Let -21*f**2 - 11226*f - 6408 = 0. Calculate f. -534, -4/7 Find r such that -4*r**4 + 8284*r**3 - 107136*r**2 + 246960*r = 0. 0, 3, 10, 2058 Factor -4*a**2 - 6256*a + 471168. -4*(a - 72)*...
{ "pile_set_name": "DM Mathematics" }