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8 Let z be 39/(4/(-4)) - 1. Let l = -30 - z. Calculate the greatest common factor of l and 30. 10 Let g = -8 + 11. Suppose -2*r + 97 - 95 = 0. Calculate the greatest common factor of r and g. 1 Let y = -1111 - -1848. What is the highest common factor of 67 and y? 67 Let m = 7 + -5. Suppose -2*w - 6 = m. Let s be 364/63...
{ "pile_set_name": "DM Mathematics" }
ve. d**(-1252/105) Simplify (x*x/(x*(x/x**38)/x)*x*x*x)**(-1)*x**13/x**42 assuming x is positive. x**(-71) Simplify ((c**(3/7)/c**(-17))/(c**(-9)*c**22))**(2/3) assuming c is positive. c**(62/21) Simplify (a**(-2/7))**5/(a**1)**(-2/29)*a**(-5)/a*a*(a**0/a)/a*(a**(2/3))**(-8) assuming a is positive. a**(-8339/609) Simpl...
{ "pile_set_name": "DM Mathematics" }
= 3*f**2 + 363*f + 10988. Determine a(-64). 44 Let j(g) = -g**3 + 11*g**2 + 189*g - 1846. Calculate j(14). 212 Let f(a) = -7*a**2 + 232*a - 198. Calculate f(26). 1102 Let i(a) = -2590*a + 125205. What is i(48)? 885 Let k(i) = 488*i + 149957. Give k(-307). 141 Let y(m) = m**2 + 755*m + 9645. What is y(-13)? -1 Let z(r) ...
{ "pile_set_name": "DM Mathematics" }
arrrrrrrrrrr. What is prob of picking 1 r and 1 a? 2/15 Two letters picked without replacement from {d: 14, j: 1}. Give prob of picking 1 j and 1 d. 2/15 Calculate prob of picking 2 m when two letters picked without replacement from mzmzmmmmzzmmz. 14/39 Three letters picked without replacement from {b: 1, s: 4, o: 1, j...
{ "pile_set_name": "DM Mathematics" }
terms in 6*f - 4 - f + 32 - 28. 5*f Collect the terms in 0*h**3 + 751*h - 2*h**3 + 4 - 34*h. -2*h**3 + 717*h + 4 Collect the terms in 33*w + 2468 - 2468 - 30*w. 3*w Collect the terms in -712*i**2 - 546*i**2 + 1262*i**2. 4*i**2 Collect the terms in 159*v - 24*v - 1 + 117*v. 252*v - 1 Collect the terms in -4*b**3 - 10*b*...
{ "pile_set_name": "DM Mathematics" }
h, 2 u, and 1 l. 1/495 Calculate prob of picking 1 m, 1 d, and 1 v when three letters picked without replacement from mseldvv. 2/35 Calculate prob of picking 1 n and 2 o when three letters picked without replacement from obbbooonobnooo. 2/13 Two letters picked without replacement from {m: 1, w: 6, u: 3, q: 8, f: 1}. Wh...
{ "pile_set_name": "DM Mathematics" }
base 3, what is 101 - 12? 12 In base 8, what is 3 + 313? 316 In base 13, what is -9c - 3? -a2 In base 7, what is 16 + -144? -125 In base 5, what is -2124 + -1? -2130 In base 10, what is -1029 + 4? -1025 In base 7, what is -14 - 1150? -1164 In base 13, what is -1b9 - 1? -1ba In base 5, what is -10 + 133? 123 In base 3, ...
{ "pile_set_name": "DM Mathematics" }
by -623811? -4 Divide 1417456920 by -10824. -130955 What is 211440 divided by 80? 2643 Calculate 40 divided by 22342. 20/11171 Calculate -70086264 divided by -14199. 4936 Divide 6526158 by -19. -343482 What is -8247213 divided by 39? -211467 Calculate -444711 divided by -27. 148237/9 What is 1645 divided by 3243? 35/6...
{ "pile_set_name": "DM Mathematics" }
etween 7:36 PM and 4:55 AM? 559 What is 634 minutes after 9:33 PM? 8:07 AM How many minutes are there between 4:18 PM and 3:45 AM? 687 What is 181 minutes after 10:38 AM? 1:39 PM What is 404 minutes before 3:03 PM? 8:19 AM What is 238 minutes before 4:37 PM? 12:39 PM What is 82 minutes before 12:39 PM? 11:17 AM How man...
{ "pile_set_name": "DM Mathematics" }
4*v - 3*z = -2939*v - 68, -13 = 55*v + 2*z for v. -1 Solve -82 = a + 21*v, -2*a + 7*v - 9*v - 2 = 10 - 8 for a. 2 Solve 33*w + 106 = -2*v - 28, 36*w - v + 19 = 31*w for w. -4 Solve -6 = 3*g - 4*g + t, -37 + 1512 = 1192*t - 909 for g. 8 Solve 4291 - 4379 = -2*o - 6*n, -o = -53*n + 367 + 429 for o. -1 Solve 4*z - 5 = -5*...
{ "pile_set_name": "DM Mathematics" }
*z - 53*z + 33*z**2). -99*z**3 Expand (c + 3*c - c)*(-35*c - 71*c - c). -321*c**2 Expand -8*i**2 - 7 - 13*i + 15*i - i + (-2*i + 4*i + 0*i)*(-2*i + i - i). -12*i**2 + i - 7 Expand 3*t**3 + t**3 - 2*t**3 - 2*t**3 + 2*t**3 - 2*t**3 + (3 - t - 3)*(2*t - 2*t - t**2) - 15*t**2 + 18*t**2 - 3*t**2 + 897*t**3 - 233*t**3. 665*t...
{ "pile_set_name": "DM Mathematics" }
the first derivative of 323*n*v**3 - 2*n + v**4 - 282 wrt v? 969*n*v**2 + 4*v**3 What is the first derivative of 2*b*v*w + 201*b*w + v*w - 23*v + 12*w wrt b? 2*v*w + 201*w Find the second derivative of b**3*l**2*q**2 - b**3*l**2 + b*l**2 - 6*b*l*q - 3*b*q - 15*l**2*q**2 - q**2 wrt q. 2*b**3*l**2 - 30*l**2 - 2 What is t...
{ "pile_set_name": "DM Mathematics" }
gram in grams? 14500 What is 5/4 of a litre in millilitres? 1250 What is 7/2 of a week in hours? 588 How many decades are there in 91637.91 millennia? 9163791 How many nanograms are there in 7/2 of a microgram? 3500 Convert 198786.42 minutes to weeks. 19.720875 Convert 85411.92 centuries to millennia. 8541.192 What is ...
{ "pile_set_name": "DM Mathematics" }
= 83*a - 2. Let l(h) = -16*i(h) + 9*w(h). Calculate -8*l(k) + 3*y(k). -5*k - 5 Let i(m) = -m**2 - 458*m + 4. Let n(o) = -o**2 + 8*o + 1. Calculate -i(v) + 2*n(v). -v**2 + 474*v - 2 Let x(q) = -7. Let c(k) = k - 1. Let f(w) = 5*c(w) - x(w). Suppose 40*h + 72 = 272. Let v(i) = -7*i - 15*i - 12*i - h*i + 40*i. What is -f(...
{ "pile_set_name": "DM Mathematics" }
? 4 Let p(i) = -i + 10. Let g be p(3). Let d(j) = 37*j**2 - 22*j**2 + j**3 - g - 15*j**2. Determine d(0). -7 Suppose -5*o + 8*o + 18 = 0. Let u(d) = d**3 + 5*d**2 - 8*d + 1. Calculate u(o). 13 Let b(r) = r**2 - 7*r - 11. Let t be b(8). Let s(h) = h**3 + 2*h**2 - 2*h. Give s(t). -3 Suppose -4*m + 23 = 3*d, d - 3 = 2. Le...
{ "pile_set_name": "DM Mathematics" }
e k. 5 Rearrange (-2 + 2 - 1)*(-2*p + 2 - 2)*(-2*p + 9*p + 15*p) to the form i*p + h*p**2 + z and give h. 44 Rearrange 9*z**2 + 2*z + 2*z**3 - 9*z**2 + 2 + 2*z**4 + 9*z**3 to g*z**3 + j*z**4 + t + p*z**2 + a*z and give j. 2 Express (0*w + 0*w - w**2)*(17*w**2 + 2*w**2 + w**2) in the form i + k*w**2 + o*w**4 + r*w**3 + ...
{ "pile_set_name": "DM Mathematics" }
order. d, 0, -0.3 Let n = -816 - -807. Sort n, -21, 3. -21, n, 3 Let m(x) = -111*x - 166. Let w be m(-2). Sort -1/9, -0.7, 0, w in increasing order. -0.7, -1/9, 0, w Let c = 0.0227 + -0.3227. Put -2/9, c, 12 in decreasing order. 12, -2/9, c Suppose -11 - 61 = 24*c. Sort -2, c, -5. -5, c, -2 Suppose 13 - 22 = -3*s. Let ...
{ "pile_set_name": "DM Mathematics" }
t integer? 8 What is the tenth root of 1689 to the nearest integer? 2 What is the cube root of 10629 to the nearest integer? 22 What is 15679 to the power of 1/5, to the nearest integer? 7 What is the cube root of 2374 to the nearest integer? 13 What is the square root of 2570 to the nearest integer? 51 What is the thi...
{ "pile_set_name": "DM Mathematics" }
9 Simplify 5 + (2 + (-3*sqrt(68))**2 + sqrt(68) - sqrt(68)). 619 Simplify -2 + ((sqrt(78) + (-1*sqrt(78) - sqrt(78)))/sqrt(6) + sqrt(13) + sqrt(13) + sqrt(13) + -4*(sqrt(13) - sqrt(52)/sqrt(4)))**2. 50 Simplify sqrt(19) + 5 + sqrt(76)/sqrt(4) - (sqrt(19) - -5*(-2*sqrt(19))**2). -375 + sqrt(19) Simplify ((sqrt(20)*-3)/s...
{ "pile_set_name": "DM Mathematics" }
d 4394? 26 What is the highest common divisor of 421040 and 4986? 554 Calculate the greatest common divisor of 10437 and 119. 7 Calculate the greatest common factor of 115 and 9005. 5 Calculate the greatest common divisor of 14984 and 152. 8 What is the greatest common factor of 871 and 85894? 67 Calculate the highest ...
{ "pile_set_name": "DM Mathematics" }
z*l + 5 = -5*o, 2 = 2*l - 0 for o. -2 Suppose h + 6 - 27 = 3*v, -5*v - 5*h = 35. Let o = -3 + v. Let d(t) = t + 16. Let f be d(o). Solve 3*p - f = 0, 6*w - w + 4*p - 3 = 0 for w. -1 Let c be 465/62 - (-1)/(-2). Solve 2*s + 11 = -5*z, 3*z + z = -s - c for s. -3 Suppose j + 16 = -2*x, -3*j + 2*x - 80 = -0*x. Let v be (3/...
{ "pile_set_name": "DM Mathematics" }
- 2*j = 3*j + 21, c = 2*u - j + 3 for u. -4 Let o = 24 + -67. Let s = o + -20. Let x = 68 + s. Solve 4*k - 13 = x*b, 1 = b - k + 2*k for b. -1 Let i be (10/(-2) - 1) + 6. Let k = 272 - 271. Solve 2*a - 3*w - 1 = i, -k = a + 4*w + 4 for a. -1 Suppose -j + 16 = 3*j. Suppose 3*d - 16 = -j*l - 0*d, 2*l = -5*d + 8. Solve 4...
{ "pile_set_name": "DM Mathematics" }
) = -3*t + 3. Let q be u(5). Let v be f(q). Let g be 1*(v - (3 + -2)). Calculate i(g). 5 Suppose 14*r - 26*r = -36. Let i(n) = n**3 + 2*n**2 - 2*n + 3. Calculate i(r). 42 Let g(v) = -13*v + 2. Let q = 6 - -6. Let t be (-2 - 3)*q/20. Let h(d) = -d + 1. Let r(m) = t*h(m) + g(m). What is r(1)? -11 Let l(k) be the first de...
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in 9*l + 15*l + 11*l - 36*l. -l Collect the terms in -4*j + 17 + 7 - 24. -4*j Collect the terms in -2*r**2 - 3*r**3 + 2*r**2. -3*r**3 Collect the terms in -1120*h**2 - 6 + 1119*h**2 + 1 + 5. -h**2 Collect the terms in 2 - 3*y - 2 + 9*y. 6*y Collect the terms in -4*y**3 + 3*y**2 - 2*y**2 + 2*y**3. -2...
{ "pile_set_name": "DM Mathematics" }
- 5*o(v). Give b(m(i)). 25*i**2 Let m(i) = -21*i**2 - 21. Let o(f) = f. What is o(m(a))? -21*a**2 - 21 Let c(s) = -19*s**2. Let o(t) = 21*t**2. What is c(o(q))? -8379*q**4 Let h be 1/(2 - (-3)/(-2)). Let x(i) = -h*i**2 + 2*i**2 + 3*i**2. Let y(o) = -o**2 - 2*o**2 + 9*o**2 - 4*o**2. Calculate y(x(n)). 18*n**4 Suppose -5...
{ "pile_set_name": "DM Mathematics" }
t value in 0.1, -3, z? -3 Let q = 19.6 - 20. Which is the second smallest value? (a) 0.1 (b) q (c) -1 b Let n = 3120 - 12409/4. Let h = -18 + n. Let u = -0.67 - -0.47. What is the smallest value in h, u, 2/13? h Let f = -11 - -7. Which is the third biggest value? (a) f (b) 2/11 (c) 3/2 a Let f be ((-2 + 3)/(-3))/...
{ "pile_set_name": "DM Mathematics" }
s -1 != 3/146? True Is -996/11 at most as big as -91? False Which is smaller: -698 or -700? -700 Are 636 and 0 equal? False Are 165 and 165 unequal? False Which is smaller: -1/226 or 0? -1/226 Does -864 = -863? False Is 12 <= -5? False Which is smaller: -3638 or -3642? -3642 Which is bigger: 77 or -0.18? 77 Is -299 at ...
{ "pile_set_name": "DM Mathematics" }
f be (-2)/((-43)/8 - -3). Let c = 150/133 - f. What is the smallest value in -3/5, -2/3, 1/2, c? -2/3 Let r = 1569 - 1571. Which is the second biggest value? (a) r (b) -1/2 (c) 4/7 (d) -0.1 d Suppose -30*u = -7*u - 23. Which is the smallest value? (a) 4 (b) u (c) 0.051 c Let y be 7/(-2)*252/(-6615). Let z = 23/...
{ "pile_set_name": "DM Mathematics" }
4*m - q = 3*j + 2*j. What is j rounded to the nearest ten? -20 Let m = -15382532 - -15382631.99899. Let y = -196 + 296. Let w = m - y. What is w rounded to four decimal places? -0.001 Let o = -1268760 + 2688760. What is o rounded to the nearest one hundred thousand? 1400000 Let c(u) = -u**2 - 10*u + 2. Let x be c(-10)...
{ "pile_set_name": "DM Mathematics" }
et b(w) = -w**3 + 8*w**2 - 4*w - 10. Calculate the remainder when h is divided by b(v). 9 Let b(a) = -6*a**3 - a**2 - 2*a + 1. Let n(g) = 5*g**3 + g - 2. Let y(u) = 4*b(u) + 5*n(u). Calculate the remainder when 13 is divided by y(5). 1 Let u = -1 + 3. Suppose -u*k = 17 - 121. Let x = k - 30. What is the remainder when ...
{ "pile_set_name": "DM Mathematics" }
-45188. Let v = 154 + p. Sort -0.1, -0.3, v in descending order. -0.1, -0.3, v Let l(r) = 3*r**2 - 4*r + 2. Let g be l(2). Suppose -3*a + 34 - 4 = 0. Let f = a - g. Sort 2, f, 1. 1, 2, f Let o = -4 + 0. Put -6, o, 4, 0.5 in increasing order. -6, o, 0.5, 4 Let k = -8 - -12. Let q(m) = m + 2. Let o be 4/(12/(-27)) - -2....
{ "pile_set_name": "DM Mathematics" }
of s*4/(-12)*-37? 3 Let s(p) = p**3 + 11*p**2 + 5*p. Let t be s(-9). Let g(q) = -47*q + 1. Let c be g(-1). Suppose 3*m - t = -c. What is the tens digit of m? 2 Suppose -4*i = -132 - 72. Let d = -94 - -172. Let j = d - i. What is the tens digit of j? 2 Let t(z) = -4*z - 32. Let a be t(-16). Let w = 92 - a. What is the t...
{ "pile_set_name": "DM Mathematics" }
**2*w + 9*n**2*x - 23*n*w**3*x + 3*n*w**3 - 152*n*w**2*x + 3*w**2*x wrt w. -2868*n**2 - 138*n*x + 18*n What is the third derivative of 566675*y**4 - 7*y**2 - 9*y + 7 wrt y? 13600200*y Find the second derivative of -324*m**4 - 356*m**2 + 45*m - 12343. -3888*m**2 - 712 What is the second derivative of -257*k*v**4 + 4*k*v...
{ "pile_set_name": "DM Mathematics" }
6 (base 12) in base 16? -17189a Convert 10133333223 (base 4) to base 12. 48a7a3 What is 1001011010100110001101 (base 2) in base 5? 1112440422 What is 84b06f (base 16) in base 2? 100001001011000001101111 What is -4d5904 (base 14) in base 15? -379eb2 What is 553430 (base 6) in base 4? 23101122 Convert -206b6 (base 14) to...
{ "pile_set_name": "DM Mathematics" }
*t**3 + t Let u(w) = w. Let o(s) = 8*s. Calculate o(j) - 5*u(j). 3*j Let i(k) = -97*k - 5. Let q(x) = 49*x + 3. Determine -4*i(m) - 7*q(m). 45*m - 1 Let c(r) = 6*r + 2. Suppose -q - 4 = -3*q. Let j(x) = 5 - q - 3 - 2 - 7*x. Let w(p) = p**3 - p**2 + p + 5. Let z be w(0). Give z*j(k) + 6*c(k). k + 2 Let c(v) = -14*v**2 +...
{ "pile_set_name": "DM Mathematics" }
? 2 Convert 1.233396nm to micrometers. 0.001233396 How many months are there in seven quarters of a year? 21 Convert 973664.5 hours to minutes. 58419870 Convert 695.169um to meters. 0.000695169 Convert 0.4921085l to millilitres. 492.1085 What is 139299.4 millilitres in litres? 139.2994 How many millimeters are there in...
{ "pile_set_name": "DM Mathematics" }
- 5721*n**2 - 45939*n - 40215 = 0. What is n? -7, -1, 1915 Factor -2*a**2/11 + 14182*a/11 + 127800/11. -2*(a - 7100)*(a + 9)/11 Suppose 9*j**5/7 - 33297*j**4/7 + 22195*j**3/7 - 3699*j**2/7 = 0. What is j? 0, 1/3, 3699 Find z, given that 2*z**2 - 17424*z + 34840 = 0. 2, 8710 Factor -2*b**4/5 + 7496*b**3 - 175631276*b**2...
{ "pile_set_name": "DM Mathematics" }
Let f(q) be the first derivative of q**2/2 - 6*q - 7. Determine f(k). 5 Let y(j) = 61*j - 25. Let b(m) = -21*m + 8. Let d(a) = -11*b(a) - 4*y(a). Let g(z) = 11*z - 11. Let v(w) = -6*d(w) - 7*g(w). Give v(-2). 3 Let n(k) = 15*k**3 + 8*k**2 - 7*k - 5. Let c(v) = -40 - 9*v**2 - 13*v**3 + 85 + 6*v - 41. Let y(f) = 7*c(f) +...
{ "pile_set_name": "DM Mathematics" }
econd smallest value in -5/2, 10, 30/7, -1? -1 What is the fourth biggest value in 4, -1, -2/3487, 3/2? -1 What is the third biggest value in -0.2, 0.05, 0, -93? -0.2 What is the second smallest value in 4, 0, -3, -1/3, 21? -1/3 Which is the second biggest value? (a) -0.1 (b) -36 (c) 0.14 (d) -1 a What is the secon...
{ "pile_set_name": "DM Mathematics" }
, -0.02, -1/5, 11? -1/5 What is the third biggest value in -4, 0.05, 1582, -3/5, -2? -3/5 Which is the fourth biggest value? (a) 3 (b) 0.1 (c) -2/213 (d) -5 (e) 1 (f) -0.64 (g) -4/7 c What is the smallest value in -1/4, -9/40, -0.1, -152/5, -1? -152/5 What is the smallest value in 3.5, -1, 0.13? -1 Which is the ...
{ "pile_set_name": "DM Mathematics" }
in ascending order. w, p, 3 Suppose 0 = -l - 0 - 1. Let g(i) = -i**3 + 8*i**2 - 2. Let y be g(8). Let f = 3 - y. Sort l, f, 3 in ascending order. l, 3, f Let z(h) = h**2. Let n be z(2). Let w be -1*(0 - -1) - 3. Put w, n, -5 in increasing order. -5, w, n Let w be (4 - 105/25)*(-2 + 5). Put w, 3, 2/11, -1/2 in ascendin...
{ "pile_set_name": "DM Mathematics" }
(b) 0.1 (c) l b Let z = 138643/5 + -27729. Let q = -5 + 7. Which is the closest to q? (a) z (b) -4/9 (c) -3 a Let q = -71/12 - -19/4. Let z = 20.205 + -20.405. Which is the closest to 1/2? (a) z (b) 5 (c) q a Let f be 10*(6 + 2392/(-400))*2. Which is the closest to -4/3? (a) f (b) 1/7 (c) 2 b Let f = -3724.9...
{ "pile_set_name": "DM Mathematics" }
99 - 771? 79328 In base 9, what is -1172678038 + 0? -1172678038 In base 3, what is 20010 - 1110200011212? -1110122221202 In base 16, what is -7f85693 - -6? -7f8568d In base 3, what is -11 + -21111111112111? -21111111112122 In base 7, what is -163336233 + 134? -163336066 In base 3, what is -11 + -110121110122021? -11012...
{ "pile_set_name": "DM Mathematics" }
5.800992086? 165.807992086 Work out -40523678953 - -13. -40523678940 What is the distance between 5.22010895037 and -4? 9.22010895037 Sum 4 and -235947826.02. -235947822.02 Calculate -13328691661981 + -13. -13328691661994 Subtract 19014983299 from 107. -19014983192 Add -48 and 2632629754.2. 2632629706.2 What is 6809054...
{ "pile_set_name": "DM Mathematics" }
and 37/1328? 312080 Calculate the common denominator of -47/1818 and -53/303. 1818 Calculate the smallest common multiple of 448 and 53816. 430528 What is the common denominator of -23/54 and -47/14600? 394200 Find the common denominator of -125/396 and 51/3244. 321156 Find the common denominator of -89/73304 and -71/...
{ "pile_set_name": "DM Mathematics" }
is the next term in -9307401, -9307396, -9307387, -9307374, -9307357? -9307336 What comes next: 31071225, 124284920, 279641079, 497139702, 776780789, 1118564340, 1522490355? 1988558834 What is next in -212, -790, -1730, -3014, -4624, -6542, -8750? -11230 What is next in -1373911, -2747509, -4121105, -5494699? -6868291 ...
{ "pile_set_name": "DM Mathematics" }
se -d*y + 3*y + v = 5, -2*y + 5*v + 31 = 0. Find the third derivative of y*x**3 + 48*x**2 + 0*x**3 - 56*x**2 wrt x. 48 Let r(t) be the first derivative of -2*t**4 + t**3/3 - 51*t - 42. What is the first derivative of r(x) wrt x? -24*x**2 + 2*x Let o(p) = p**3 + 6*p**2 + 4*p + 1. Suppose 5*d = -33 + 8. Let q be o(d). Fi...
{ "pile_set_name": "DM Mathematics" }
t**(-2/5)*t)**(-36)*(((t/t**(-2/3))/t)/t)**(5/2) assuming t is positive. t**(-1753/30) Simplify z/(z/z**5)*z*z/(z*(((z*(z*z/z**(5/3))/z*z)/z)/z)/z*z*z*z)*z*z assuming z is positive. z**(20/3) Simplify m*m**2*m/(m**(7/5)/m*m) assuming m is positive. m**(13/5) Simplify ((n/(n**(-8/7)/n))/n)/(n/n**(-6/5)) assuming n is po...
{ "pile_set_name": "DM Mathematics" }
+ 19*g**2 + 5 - 20*g**3 - 17*g. Give b(-17). 5 Suppose 2*v + 1 = 5. Suppose -3*o + 3 = -v*z, -z = 2*o + 2*z - 2. Let i(x) = -x**2 - 5*x + 3*x + 11*x**3 + 0*x - o. Calculate i(-1). -11 Let t(n) = -n**3 - 8*n**2 - 8*n - 6. Suppose -3*c - 2*c = -45. Let h(p) = -p**3 - 9*p**2 - 14*p + 16. Let a be h(-7). Let j = c - a. Det...
{ "pile_set_name": "DM Mathematics" }
12, -4? -1 Which is the second biggest value? (a) -1 (b) -4/3 (c) -12 b Which is the second biggest value? (a) 0.5 (b) 3/5 (c) -0.5 (d) 3 (e) 0 b What is the third biggest value in -5/4, 0.048, 8? -5/4 What is the smallest value in 10/7, 3, 2/19, 10? 2/19 Which is the third smallest value? (a) -1 (b) 1.82 (c...
{ "pile_set_name": "DM Mathematics" }
form u + b*q and give u. -5 Rearrange 6 - 6 + 18*c**3 + (c - c + 2*c)*(63 + 36*c - 63)*(-c + 1 - 1) to the form f*c + h*c**3 + w + u*c**2 and give h. -54 Express 193 + 45*y**2 - 193 + (-4909 - 737*y + 4909)*(0*y - 2*y + 4*y) in the form o + l*y**2 + s*y and give l. -1429 Rearrange 91 - 291 - 7374*v + 104 + 96 to the f...
{ "pile_set_name": "DM Mathematics" }
20000212 + 0.034091 20000212.034091 Work out -2.53467 + 352683. 352680.46533 2580202283 + -629 2580201654 What is the distance between 142817916128 and -0.8? 142817916128.8 Subtract 263 from -831930647. -831930910 Total of -22781 and -1213.30873. -23994.30873 Put together -6588522 and -42.157. -6588564.157 10+250353936...
{ "pile_set_name": "DM Mathematics" }
+ 0*n = 2*n + 14, -4*y + 5*n + 30 = 0. Suppose -2*w + y = -3. Solve -5*d + d - w = 0 for d. -1 Let h = -9 + 11. Suppose 2*t - t + 1 = 0, -h*w + 2*t = -2. Solve -3*x + 4*x - 1 = w for x. 1 Suppose -5*d - 5 = -5*w, 5*w - 7 = -d - 2. Let b = d - -8. Let v be b/28 + 40/7. Solve -s - s = -v for s. 3 Let x = -13 + 29. Suppo...
{ "pile_set_name": "DM Mathematics" }
= 58*d**2 + 12*d. Let l(k) = 12*f(k) - 5*g(k). Let u(r) = -379*r. Calculate u(l(s)). 758*s**2 Let t be ((-1 - -2) + -2)/((-12)/120). Let m(l) = 18 - 8 - 8 + t*l**2. Let n(k) = -k. Calculate n(m(f)). -10*f**2 - 2 Let g(m) = -2*m. Let h(x) = 44138*x**2 + 609. Let c(f) = 437*f**2 + 6. Let l(o) = 203*c(o) - 2*h(o). Determ...
{ "pile_set_name": "DM Mathematics" }
5. Let a = 135 + h. Let n = 62 - a. What is the closest to n in 3, -0.7, 0.2? 0.2 Let y = 554.8 - 555.2. Which is the nearest to 3/14? (a) y (b) 1 (c) -1 (d) -6 a Let m = 22.764 + 0.136. Let r = m + -23.4. Which is the closest to 2/9? (a) 1 (b) 2 (c) r c Let j = 0.2 - 2.2. Let d = 1.701 + 473.299. Let v = 481 - ...
{ "pile_set_name": "DM Mathematics" }
-r**3 Collect the terms in 8*u**2 - 1 - 1 + 2*u - 2*u. 8*u**2 - 2 Collect the terms in -13*y**2 + 6*y**2 + 3*y**2. -4*y**2 Collect the terms in 342 - 6*f - 342. -6*f Collect the terms in -685*q - 662*q + 1348*q. q Collect the terms in 1 + a**2 - 13*a**2 - 1 + 7*a**2. -5*a**2 Collect the terms in 190*j**2 + 11*j**3 - 1...
{ "pile_set_name": "DM Mathematics" }
7 is divided by 21? 2 What is the remainder when 904608 is divided by 4019? 333 Calculate the remainder when 3801895 is divided by 874. 869 Calculate the remainder when 136092057 is divided by 335. 317 Calculate the remainder when 379921 is divided by 127. 64 What is the remainder when 753335 is divided by 3711? 2 What...
{ "pile_set_name": "DM Mathematics" }
004 Let c = 829699802968817 - 829700205846499.9999938. Let x = 402877641 + c. Let i = x - -42. What is i rounded to 6 decimal places? 0.000006 Suppose -2*v + 0 = 12. Let l be (-3 - (-4 + 0)) + v. Let z(g) = -17*g**2 - 5*g. Let s be z(l). Round s to the nearest one thousand. 0 Let g = -318759.3569 + 7162.1669. Let z = g...
{ "pile_set_name": "DM Mathematics" }
ommon divisor of 4 and r. 4 Let i(t) = t**2 - 3*t + 3. Let w be i(3). Let m(r) = -r + 9*r - w - r. Let f be m(2). What is the greatest common divisor of 22 and f? 11 Suppose -4*h = -x - 3, -3*h + 5*x + 12 + 3 = 0. Suppose h*v + 4*v = 8. Let z(s) = -s - 3. Let m be z(-7). What is the highest common divisor of m and v? 2...
{ "pile_set_name": "DM Mathematics" }
*j + 1882*j. Let o(i) = 10*i**2. Calculate y(o(c)). 2610*c**2 Let q(f) = 5*f**2. Let l(i) be the first derivative of 4*i**2 - 18*i + 359. What is q(l(j))? 320*j**2 - 1440*j + 1620 Let d(c) = -2*c. Let y = 43 - 41. Suppose 2*j - q - 6 = -y*q, 4*j - 2*q = 20. Let t(h) = -6*h**2 - j*h**2 + h**2. Give t(d(z)). -36*z**2 Let...
{ "pile_set_name": "DM Mathematics" }
lect the terms in 19 - 2*f**3 + 6 - 46 + 21. -2*f**3 Collect the terms in -7*z + 10*z - 1951163*z**3 + 1951165*z**3 - 3*z. 2*z**3 Collect the terms in 8455 + 32*d**2 - 8455 + 7*d**2. 39*d**2 Collect the terms in -334*p - 2*p**2 + 170*p - 5*p**2 + 164*p. -7*p**2 Collect the terms in -476*p**2 - 1022*p**2 + 1502*p**2. 4*...
{ "pile_set_name": "DM Mathematics" }
3*t = -l - 13 - 0, -3*l + 2*t = u. What is the units digit of -2*15/l*25? 5 Let p be (-2)/3*18/(-4). Suppose 4*c = -4*n + 4, -p*n + 5*n - 7 = -3*c. Suppose -49 = -c*u + 106. What is the units digit of u? 1 Suppose -5*d + 2*r = -1495, 2*r + r - 1196 = -4*d. Suppose -4*c - d = -5*q, 5*q = c + c + 297. What is the units d...
{ "pile_set_name": "DM Mathematics" }
71192570000000 How many seconds are there in 7/8 of a hour? 3150 How many micrograms are there in one fifth of a milligram? 200 How many months are there in fifteen quarters of a millennium? 45000 What is 632883.6 nanometers in kilometers? 0.0000006328836 Convert 7.480318 centuries to millennia. 0.7480318 What is 6/5 o...
{ "pile_set_name": "DM Mathematics" }
0 What is next in 86, 151, 196, 221? 226 What is next in 86, 230, 424, 662, 938, 1246, 1580? 1934 What comes next: -5003, -10008, -15013, -20018? -25023 What is next in -23, -45, -83, -137, -207, -293? -395 What is the next term in -187, -184, -181, -178, -175, -172? -169 What is next in 46, 116, 212, 334, 482, 656? 85...
{ "pile_set_name": "DM Mathematics" }
c(-3). Suppose v = -i + 84. Is i a prime number? True Let t = 533975 - -97310. Is t a composite number? True Let a(w) = 105*w**2 + 2*w - 21. Let p(k) = 52*k**2 + k - 10. Let f(n) = -6*a(n) + 13*p(n). Let u be f(3). Suppose 0 = 5*m - u - 32. Is m composite? False Suppose -3690221 = -5*k - j, 8 - 20 = -2*j. Is k a prime...
{ "pile_set_name": "DM Mathematics" }
2, 223, 887 List the prime factors of 26860751. 26860751 What are the prime factors of 267981? 3, 7, 1823 List the prime factors of 347708. 2, 86927 List the prime factors of 652956. 2, 3, 54413 List the prime factors of 1374339. 3, 29, 15797 What are the prime factors of 1582970? 2, 5, 59, 2683 List the prime factors ...
{ "pile_set_name": "DM Mathematics" }
6 Express 3*j**2 + 4*j**2 - 1614 + 1634 as p*j**2 + b + h*j and give p. 7 Rearrange 36 - 5*g + 36 + 4*g + 2*g + 2*g to the form l + m*g and give l. 72 Express -864 - 98*i + 150*i - 54*i as y + d*i and give y. -864 Rearrange -26351 + 13184 + 13210 + 9*p**2 + (2 - 2 + 2*p)*(-2 + 2 + p) to the form l*p**2 + h*p + t and gi...
{ "pile_set_name": "DM Mathematics" }
88 = 0, -3*d - 2*s + 48 = s. Calculate the greatest common factor of 171 and d. 19 Let y = -212 + 311. What is the highest common divisor of y and 33? 33 Let d be -13*((-16)/4 - -1). Let o = -46 + 72. Calculate the greatest common factor of o and d. 13 Suppose 0 = -3*w + 4*g - 16, 3*g = -5*w + 2*g + 4. Suppose -112 = -...
{ "pile_set_name": "DM Mathematics" }
(sqrt(132) + -3*sqrt(132))/sqrt(12))))**2. -76*sqrt(5) + 1869/4 Simplify -4*(0 + (1*sqrt(891) + 5)**2 + sqrt(891) + (5 + -2 + 2*sqrt(44))**2). -4404 - 492*sqrt(11) Simplify 0 + (-6*((sqrt(700)*-1*-3)**2 + -5 + (-1 + sqrt(700) + sqrt(700))**2)*-5 + -4)*2. -2400*sqrt(7) + 545752 Simplify 0 + ((-5*(-1 + sqrt(68)))**2 - (2...
{ "pile_set_name": "DM Mathematics" }
emainder when 75 is divided by j. 3 Let t be 140/35*(-1 - (-3)/2). Suppose 9*j + t*j - 33 = 0. Calculate the remainder when 45 is divided by j. 0 Let k(o) = -o**2 + 77. Suppose 1448*f - 1442*f + 4*a - 172 = 0, -40 = -2*f + 3*a. What is the remainder when k(0) is divided by f? 25 Suppose 0*s - 5*s = -4*n - 286, -2*n - 5...
{ "pile_set_name": "DM Mathematics" }
Suppose -3*y + 10 + 11 = 0. Solve -y*u + 2*u = -5 for u. 1 Let x(a) = -a**2 - 3*a + 2. Let v be x(-2). Solve 0*m = 2*m + v for m. -2 Let a(z) = -z**2 + 10*z - 19. Let j be a(3). Let o(u) = u**2 - 5*u + 6. Let x be o(6). Solve -j*i + x = 4 for i. 4 Let u(p) = -p**2 + 6*p + 6. Let y be u(5). Solve -4 = -5*x + y for x. 3...
{ "pile_set_name": "DM Mathematics" }
ided by 5? 68081904 What is 19142390 divided by -3828478? -5 Calculate -1221194 divided by 610597. -2 -48829 divided by 98 -48829/98 5 divided by 40892165 1/8178433 Divide 16723 by 18. 16723/18 Calculate -37 divided by -81092. 37/81092 Calculate 3 divided by 3806311. 3/3806311 Calculate 13756 divided by -76. -181 Calcu...
{ "pile_set_name": "DM Mathematics" }
= -5*a + i. Solve 9 = a*l - 0*l for l. 3 Let u be (2 + 0)*(-3)/(-6). Suppose 5*i + 36 + 24 = 0. Let r be (2 + i)*2/(-5). Solve 0 = -r*a + u + 7 for a. 2 Let a(j) = -j**3 - 8*j**2 + 8*j - 5. Let c be a(-9). Suppose c*q + 4*h - 60 = -0*q, -5*q + 105 = -h. Solve 5 = -5*s + q for s. 3 Let a(j) = -j**2 - 8*j + 4. Let c be ...
{ "pile_set_name": "DM Mathematics" }
Evaluate ((-18)/15)/((-16)/(-40)). -3 3484/(-2010) + (-8)/(-6) -2/5 Calculate (12/(-50))/(30/(-800)*-8). -4/5 What is 3/21*(4 - 2)? 2/7 What is the value of ((-1)/(-1))/(3 - 20/6)? -3 What is -1*(-7)/((-42)/12)? -2 What is (20/(-4) - -5) + 5*1? 5 What is ((-4)/6)/(96 - 94)? -1/3 Evaluate ((-21)/(-6) - 6) + (-1)/(-2). -...
{ "pile_set_name": "DM Mathematics" }
o? 16 Suppose 5*r - 3*r - 4 = 0. Let d(u) = 2*u**2 + 2*u - 2. Let l be d(r). Calculate the greatest common divisor of l and 4. 2 Suppose 0 = 2*s - s. Suppose 31 = 4*l - s*c - 3*c, -c = l - 13. What is the greatest common factor of 40 and l? 10 Suppose -4*u + 6 = -6. Let q = u + 1. Calculate the greatest common divisor ...
{ "pile_set_name": "DM Mathematics" }
0 - 9*l**4/4 - 8*l**3/5 + 18*l**2/5 + 600*l - 2. Solve w(b) = 0. -6, -1, 2/5, 1 Suppose 41 - 23 = 6*u. Factor 11*s**3 + 4*s**u - 11*s**3 - 2*s**4. -2*s**3*(s - 2) Let u = 38 + -20. Suppose -8*n = -122 + u. Let d(h) = -6*h**2 + 5*h - 25. Let f(x) = 3*x**2 - 3*x + 12. Let c(z) = n*f(z) + 6*d(z). Factor c(y). 3*(y - 2)*(y...
{ "pile_set_name": "DM Mathematics" }
223? 3 What is the tens digit of 979? 7 What is the units digit of 8258? 8 What is the hundreds digit of 21437? 4 What is the hundreds digit of 214? 2 What is the units digit of 8425? 5 What is the units digit of 466? 6 What is the thousands digit of 10329? 0 What is the tens digit of 13132? 3 What is the thousands dig...
{ "pile_set_name": "DM Mathematics" }
w**2 + 8*w. 2*w*(w - 4)*(w - 1)**3 Solve 5*b**4 - 240*b**3 + 460*b**2 = 0. 0, 2, 46 What is h in -13*h**5 - 327*h**4 + 340*h**3 + 1360*h**2 - 1152*h - 208 = 0? -26, -2, -2/13, 1, 2 Find h, given that -h**3/9 + 442*h**2/9 - 47945*h/9 - 198916/9 = 0. -4, 223 Solve -s**4 - 43*s**3 - 391*s**2 + 1587*s = 0 for s. -23, 0, 3 ...
{ "pile_set_name": "DM Mathematics" }
-4*c, 4*c + 2*d + 22 = -0*c for c. -3 Let o(j) = 4*j - 2. Let q be o(1). Suppose 0 = -b, -b - 24 = -2*v - 4*b. Solve -2*g + v = -q*u, 4*g + u = -u for g. 2 Let n be 0*(-1 + 2) + 0. Suppose n = 4*t + t. Let r be (6 - t)*(-14)/(-21). Solve 4*d + 11 + 13 = -r*w, 5*d - 5*w = 0 for d. -3 Let d(h) = 11*h**3 - 2*h - 1. Let a...
{ "pile_set_name": "DM Mathematics" }
rest ten? 20 Suppose 13*m + 2700000 = 10*m. What is m rounded to the nearest one hundred thousand? -900000 Let k = -0.12 - -0.1222. What is k rounded to 4 dps? 0.0022 Let y = -49.148 + 52.1. Let m = 3.4 - 0.4. Let h = m - y. Round h to two decimal places. 0.05 Suppose 6*z - 380 = -3*m + 2*z, 2*z = 2*m - 272. Suppose 7*...
{ "pile_set_name": "DM Mathematics" }
the thousands digit of 21043? 1 What is the units digit of 50436? 6 What is the thousands digit of 6436? 6 What is the hundreds digit of 5956? 9 What is the units digit of 5929? 9 What is the tens digit of 160899? 9 What is the tens digit of 120902? 0 What is the thousands digit of 68682? 8 What is the hundreds digit ...
{ "pile_set_name": "DM Mathematics" }
1? False Let b(a) = -a**3 + a**2 + 43*a - 47. Is b(4) a multiple of 4? False Let r = -337 + -1097. Let j be -6 + 12/3 - 22. Is r/(-22) + j/132 + 0 a multiple of 13? True Suppose c = 4*o + 9 - 2, -c = o - 17. Suppose 9 = -c*m + 18*m. Suppose -91 = -4*t - 5*q, 5*t + 0*q - 86 = m*q. Does 4 divide t? False Let c = -7101 - ...
{ "pile_set_name": "DM Mathematics" }
nded to 6 dps? -0.000061 Round 149950 to the nearest 1000. 150000 Round 49000 to the nearest 1000. 49000 What is -0.01576 rounded to three decimal places? -0.016 Round -8.9091 to the nearest integer. -9 What is -25.6 rounded to the nearest 10? -30 Round -0.55 to 1 decimal place. -0.6 Round 3.2853 to two dps. 3.29 Round...
{ "pile_set_name": "DM Mathematics" }
? False Let j(p) = -22901*p**3 - 16*p - 16. Is j(-1) a prime number? True Let j be 1 + (0 - 2) + -1 - -10. Is j/36 - (-6825)/27 a prime number? False Suppose -4*k + k + 15 = 0, 2*n + 1 = k. Is n/(-5) - 4387/(-5) prime? True Suppose -2*p + 2 = -6. Suppose p*v = -3*t + 1197, -5*t + v = 4*v - 2006. Is t composite? True Le...
{ "pile_set_name": "DM Mathematics" }
nd 1 z when three letters picked without replacement from zubqquqzzkzuukzzu? 3/340 Two letters picked without replacement from ztzztzyt. What is prob of picking 1 y and 1 t? 3/28 Four letters picked without replacement from {c: 2, a: 4, q: 1, s: 1, h: 8}. Give prob of picking 3 h and 1 q. 2/65 Three letters picked with...
{ "pile_set_name": "DM Mathematics" }
et w(f) be the first derivative of j(f). What is the first derivative of w(y) wrt y? 100*y**3 Find the third derivative of 15*n**3 + 12*n**4 - 30*n**3 + 357*n**2 + 5*n**4 wrt n. 408*n - 90 What is the derivative of -39*i**3 - 41*i**2 + 22*i**2 - 81*i**3 + 19*i**2 - 519 wrt i? -360*i**2 Let b(v) be the third derivative ...
{ "pile_set_name": "DM Mathematics" }
y**3 - 63083292*y**2 wrt y. -592864362 What is the third derivative of -298704967*n**3 - 318611376*n**2 wrt n? -1792229802 What is the third derivative of 40*d**2*o**4 + 67*d**2*o**2 + 613733*d**2 - 30285*d*o**3 + 2*o**4 wrt o? 960*d**2*o - 181710*d + 48*o Find the third derivative of 8105619*u**3 - 2420*u**2 - 69*u wr...
{ "pile_set_name": "DM Mathematics" }
and -6.8661. -9.8661 What is 30 minus 109? -79 What is 1 plus -14.9314? -13.9314 Subtract 40 from 5.3. -34.7 Add -3 and 0.63338. -2.36662 What is 0.6 - 10360.49? -10359.89 What is 0.121681 + 9? 9.121681 Work out 74.5 + -20. 54.5 Work out -1.2721 + -30. -31.2721 What is the difference between -0.2 and -25244? 25243.8 -...
{ "pile_set_name": "DM Mathematics" }
0. What is a? -2, 0 Let j(l) be the first derivative of -l**6/90 - l**5/18 + l**4/12 - l**2/2 - 7*l + 50. Let z(u) be the second derivative of j(u). Factor z(p). -2*p*(p + 3)*(2*p - 1)/3 Let z(d) = -4*d**3 - 14*d - 6. Let s(h) = 5*h**3 - h**2 + 15*h + 7. Let r(t) = -6*s(t) - 7*z(t). Factor r(j). -2*j*(j - 4)*(j + 1) Fa...
{ "pile_set_name": "DM Mathematics" }
2 Sort -97, 1/2, -2/11 in increasing order. -97, -2/11, 1/2 Sort -1/5, -5/2, 273, -3/2 in decreasing order. 273, -1/5, -3/2, -5/2 Sort -4, -3, -5, 5, -19 in increasing order. -19, -5, -4, -3, 5 Put 211/5, 2/3, -0.2, 0.2 in decreasing order. 211/5, 2/3, 0.2, -0.2 Put 1, -11, -5, -3 in ascending order. -11, -5, -3, 1 Put...
{ "pile_set_name": "DM Mathematics" }
/3 (d) n (e) -0.1 e Suppose 125*d + 12*d + 760 = -53*d. What is the third smallest value in 2, d, 1/11? 2 Let i = -5.67 + 64.67. Let z = -64.9 - -6.3. Let t = i + z. Which is the fourth biggest value? (a) 0 (b) t (c) -1 (d) -10 d Let i = 6859 + -6862. What is the smallest value in -4, -3/34, i, 2/7? -4 Let r = 16...
{ "pile_set_name": "DM Mathematics" }
e Suppose 4*m + 92 = 5*s, 74 = -s + 5*s - 3*m. Let v = -80 - -66. Let x = s + v. Is x a multiple of 6? True Let s be ((-585)/35 - -1)/((-2)/14). Let f = s + -84. Is 3 a factor of f? False Let l(n) be the third derivative of 31*n**4/24 + 7*n**3/6 + 8*n**2. Let w = -69 + 72. Does 25 divide l(w)? True Suppose i - 14 - 1 =...
{ "pile_set_name": "DM Mathematics" }
out replacement from {j: 2, g: 2, v: 2, u: 2, r: 1, w: 5}. 5/1092 Calculate prob of sequence xqqq when four letters picked without replacement from xbxqqqq. 2/35 Four letters picked without replacement from yeyeruyeyderryydu. What is prob of sequence udud? 1/14280 What is prob of sequence cd when two letters picked wit...
{ "pile_set_name": "DM Mathematics" }
+ 5 - 6 + 353709*f. 54*f - 1 Collect the terms in 655 - 1962 + 654 + 409*w + 653 + 4802*w. 5211*w Collect the terms in 57940*n**3 + 49*n**2 - 57189*n**3 - 94*n**2 + 45*n**2. 751*n**3 Collect the terms in 5532*u**2 + 50*u - 23*u - 27*u - 5547*u**2. -15*u**2 Collect the terms in 72 - 36 - 5998844*k**2 - 36. -5998844*k**2...
{ "pile_set_name": "DM Mathematics" }
61090, 9137451, 16244356, 25381805? 36549798 What is the next term in 39900904, 39900906, 39900908? 39900910 What is the next term in -445995, -445915, -445835, -445755? -445675 What comes next: -7005127, -7005108, -7005077, -7005034, -7004979, -7004912, -7004833? -7004742 What comes next: -4414, -6879, -9344, -11809? ...
{ "pile_set_name": "DM Mathematics" }
u - -32. What is the remainder when 42 is divided by h? 9 Suppose -47*s + s = -7222. What is the remainder when s is divided by 70? 17 Suppose -4*w = -3*t + 5*t - 86, 0 = -5*t + 5*w + 260. Let o = -17 - -30. Calculate the remainder when t is divided by o. 10 Suppose 0 = -2*g + 5*g - 5*j - 428, -2*g + 2*j + 288 = 0. Sup...
{ "pile_set_name": "DM Mathematics" }
0767 22+0.0955 22.0955 What is the difference between -40 and 0.014? 40.014 What is -58211 minus -39? -58172 Calculate 1.75 - 1.4463. 0.3037 What is 0.29 + 10.84? 11.13 Work out -135.86 + 0. -135.86 What is 20 less than -23636? -23656 Total of -4 and 20806. 20802 0.9 - 96 -95.1 What is 35.502 - -3? 38.502 Put together ...
{ "pile_set_name": "DM Mathematics" }
e second derivative of b**3/3 + b**2 - 6*b. Calculate w*c(m) + 4*f(m). 4*m**2 Suppose -5*t = -2*t - 2091. Let y(n) = 0 - t*n + 2 + 700*n. Let j(x) = 6*x + 4. Determine -2*j(m) + 5*y(m). 3*m + 2 Let z(f) be the first derivative of -f**3/3 - 3*f**2/2 + 6*f - 199. Let o(g) = 4*g - 6. What is 2*o(h) + 3*z(h)? -3*h**2 - h +...
{ "pile_set_name": "DM Mathematics" }
+ s*v**3. Find the first derivative of m(l) wrt l. -6*l Let p(x) be the second derivative of -3*x**4/2 - 11*x**2/2 + 7*x. What is the first derivative of p(z) wrt z? -36*z What is the second derivative of 5*l**2 + 2*l**2 - 7*l**2 - 5*l + 5*l**3 wrt l? 30*l Let u(l) = l**3 + 3*l**2 + l - 1. Let d be u(-2). Suppose 19 = ...
{ "pile_set_name": "DM Mathematics" }
- 2 + 2 - i**3 to the form r + j*i**3 + u*i + b*i**2 and give j. 352 Rearrange y**4 - 3*y**2 + 2*y**2 - 3*y + 4*y + 4009*y**3 - 3993*y**3 to f*y**4 + z*y**2 + x + n*y + b*y**3 and give f. 1 Rearrange 40*h**2 + 8*h**3 - 9*h**3 - 46*h**2 to s*h**2 + v*h + x + w*h**3 and give w. -1 Express -48*i**2 + 315*i**2 + 2*i - 2*i...
{ "pile_set_name": "DM Mathematics" }