text
stringlengths
36
215
instruction_seed
stringlengths
5
160
response_seed
stringlengths
1
30
{"question": "Let z(o) = 15*o**3 + 4*o**2 + 8*o + 4. Determine z(-1).", "answer": "-15"}
Let z(o) = 15*o**3 + 4*o**2 + 8*o + 4. Determine z(-1).
-15
{"question": "What is the d'th term of 1202, 2273, 3306, 4301, 5258, 6177?", "answer": "-19*d**2 + 1128*d + 93"}
What is the d'th term of 1202, 2273, 3306, 4301, 5258, 6177?
-19*d**2 + 1128*d + 93
{"question": "Let q = -0.14 - -2.14. Let c = q - 6. What is the nearest to -0.1 in 2, c, 0?", "answer": "0"}
Let q = -0.14 - -2.14. Let c = q - 6. What is the nearest to -0.1 in 2, c, 0?
0
{"question": "What is the next term in -1175633, -2351125, -3526619, -4702115, -5877613?", "answer": "-7053113"}
What is the next term in -1175633, -2351125, -3526619, -4702115, -5877613?
-7053113
{"question": "What is the units digit of 5860?", "answer": "0"}
What is the units digit of 5860?
0
{"question": "Let y(g) = -g**3 + 5*g**2 - 3*g + 5. Let n(v) = -v**3 + 11*v**2 - 14*v + 44. Suppose -2*k + 4 + 0 = -4*h, -5*h = -k - 10. Let s be n(k). Give y(s).", "answer": "9"}
Let y(g) = -g**3 + 5*g**2 - 3*g + 5. Let n(v) = -v**3 + 11*v**2 - 14*v + 44. Suppose -2*k + 4 + 0 = -4*h, -5*h = -k - 10. Let s be n(k). Give y(s).
9
{"question": "Let o(m) = -2*m**2 + 7*m. Let d(r) = r**2 - 3*r. Let x be (-6)/3*6/4. What is x*o(u) - 7*d(u)?", "answer": "-u**2"}
Let o(m) = -2*m**2 + 7*m. Let d(r) = r**2 - 3*r. Let x be (-6)/3*6/4. What is x*o(u) - 7*d(u)?
-u**2
{"question": "Suppose 10*j = 5*j. Let v(f) be the second derivative of j + 1/5*f**5 + 1/12*f**4 + 0*f**3 - 2*f - 1/2*f**2. Give v(-1).", "answer": "-4"}
Suppose 10*j = 5*j. Let v(f) be the second derivative of j + 1/5*f**5 + 1/12*f**4 + 0*f**3 - 2*f - 1/2*f**2. Give v(-1).
-4
{"question": "Let g = 21176 + -86192. List the prime factors of ((-1)/(-6)*3)/((-18)/g).", "answer": "2, 3, 7, 43"}
Let g = 21176 + -86192. List the prime factors of ((-1)/(-6)*3)/((-18)/g).
2, 3, 7, 43
{"question": "Let q = -3705 + 3707. Solve -q*v + 4*f = 10, 5*f = 3*v - 0*v + 15 for v.", "answer": "-5"}
Let q = -3705 + 3707. Solve -q*v + 4*f = 10, 5*f = 3*v - 0*v + 15 for v.
-5
{"question": "Let x(i) = -24*i - 85. What is x(-6)?", "answer": "59"}
Let x(i) = -24*i - 85. What is x(-6)?
59
{"question": "Let l be (-956)/(-10) - (-12)/30*1. Calculate the greatest common divisor of l and 48.", "answer": "48"}
Let l be (-956)/(-10) - (-12)/30*1. Calculate the greatest common divisor of l and 48.
48
{"question": "Let g = 20 - -36. Is g a multiple of 14?", "answer": "True"}
Let g = 20 - -36. Is g a multiple of 14?
True
{"question": "Suppose -31 + 38 = -7*w. What is the biggest value in -1/3, 3, w, 53?", "answer": "53"}
Suppose -31 + 38 = -7*w. What is the biggest value in -1/3, 3, w, 53?
53
{"question": "Suppose -4*c = 4*u, -10*c + 11*u + 8 = 13*u. Which is bigger: c or 2/1939?", "answer": "c"}
Suppose -4*c = 4*u, -10*c + 11*u + 8 = 13*u. Which is bigger: c or 2/1939?
c
{"question": "Find the second derivative of 2295*y**5 - 21061*y.", "answer": "45900*y**3"}
Find the second derivative of 2295*y**5 - 21061*y.
45900*y**3
{"question": "Simplify (o**(-5)/(o*o/o**(-2)))/((o**14*o)/o*o**(-3/13)) assuming o is positive.", "answer": "o**(-296/13)"}
Simplify (o**(-5)/(o*o/o**(-2)))/((o**14*o)/o*o**(-3/13)) assuming o is positive.
o**(-296/13)
{"question": "Let c(t) = 13*t + 12. Let h(r) = r**2 - 13*r - 13. Let i(z) = 6*c(z) + 5*h(z). Let b be i(6). What is the highest common divisor of 106 and b?", "answer": "53"}
Let c(t) = 13*t + 12. Let h(r) = r**2 - 13*r - 13. Let i(z) = 6*c(z) + 5*h(z). Let b be i(6). What is the highest common divisor of 106 and b?
53
{"question": "What is the least common multiple of 11756 and 30?", "answer": "176340"}
What is the least common multiple of 11756 and 30?
176340
{"question": "-42 (base 11) to base 10", "answer": "-46"}
-42 (base 11) to base 10
-46
{"question": "Calculate the remainder when 973301 is divided by 973021.", "answer": "280"}
Calculate the remainder when 973301 is divided by 973021.
280
{"question": "Suppose y**2 + 74196*y - 174050272 = 0. Calculate y.", "answer": "-76472, 2276"}
Suppose y**2 + 74196*y - 174050272 = 0. Calculate y.
-76472, 2276
{"question": "What is the highest common factor of 10776 and 422970572?", "answer": "1796"}
What is the highest common factor of 10776 and 422970572?
1796
{"question": "What is prob of sequence gmm when three letters picked without replacement from {m: 3, g: 4, c: 1}?", "answer": "1/14"}
What is prob of sequence gmm when three letters picked without replacement from {m: 3, g: 4, c: 1}?
1/14
{"question": "Let o = 0.2 - 0.5. Let z = 0.2 + -0.2. Let q = z + o. What is the second smallest value in -1/7, q, -4/7?", "answer": "q"}
Let o = 0.2 - 0.5. Let z = 0.2 + -0.2. Let q = z + o. What is the second smallest value in -1/7, q, -4/7?
q
{"question": "Calculate prob of sequence yy when two letters picked without replacement from rtetuewyutwyet.", "answer": "1/91"}
Calculate prob of sequence yy when two letters picked without replacement from rtetuewyutwyet.
1/91
{"question": "What is 3164.0015 + 3?", "answer": "3167.0015"}
What is 3164.0015 + 3?
3167.0015
{"question": "What is next in 35, 33, 31, 29?", "answer": "27"}
What is next in 35, 33, 31, 29?
27
{"question": "Let x(m) = -m**3 + 14*m**2 + 10*m - 17. Let d be x(14). Let c = d - 34. What is the tens digit of c?", "answer": "8"}
Let x(m) = -m**3 + 14*m**2 + 10*m - 17. Let d be x(14). Let c = d - 34. What is the tens digit of c?
8
{"question": "Let d be 2/((-10)/15) + -1*1. Is 23 a factor of (-4 - -112) + d/(-2)?", "answer": "False"}
Let d be 2/((-10)/15) + -1*1. Is 23 a factor of (-4 - -112) + d/(-2)?
False
{"question": "Suppose 5*u + 3*g = 14, g - 7 = -5*u + 1. Suppose j + 2*f - u - 10 = 0, -14 = -j - 3*f. Solve -1 = -j*i + 4 for i.", "answer": "1"}
Suppose 5*u + 3*g = 14, g - 7 = -5*u + 1. Suppose j + 2*f - u - 10 = 0, -14 = -j - 3*f. Solve -1 = -j*i + 4 for i.
1
{"question": "What is the third derivative of 7*k**4*x*z - 6*k**3*x + 438*k**3*z + 3*k**2*x + 2986*k**2 - 2*k*x - k - 7*x*z wrt k?", "answer": "168*k*x*z - 36*x + 2628*z"}
What is the third derivative of 7*k**4*x*z - 6*k**3*x + 438*k**3*z + 3*k**2*x + 2986*k**2 - 2*k*x - k - 7*x*z wrt k?
168*k*x*z - 36*x + 2628*z
{"question": "Let s = 1257 - 5564. Round s to the nearest 1000.", "answer": "-4000"}
Let s = 1257 - 5564. Round s to the nearest 1000.
-4000
{"question": "Let j = 22 + -15. Suppose -1 + j = -3*w, 4*v = w + 38. Is v a multiple of 9?", "answer": "True"}
Let j = 22 + -15. Suppose -1 + j = -3*w, 4*v = w + 38. Is v a multiple of 9?
True
{"question": "What is the units digit of 1691056?", "answer": "6"}
What is the units digit of 1691056?
6
{"question": "Suppose -2*c - 23 - 47 = 0. Let t = c + 51. Calculate the lowest common multiple of 22 and t.", "answer": "176"}
Suppose -2*c - 23 - 47 = 0. Let t = c + 51. Calculate the lowest common multiple of 22 and t.
176
{"question": "Let v = 10.3 + -15.6. Let m = -5.7 - v. Put -1, -2/9, m, 2/5 in descending order.", "answer": "2/5, -2/9, m, -1"}
Let v = 10.3 + -15.6. Let m = -5.7 - v. Put -1, -2/9, m, 2/5 in descending order.
2/5, -2/9, m, -1
{"question": "Express (3*f**2 + 0*f**2 - 2*f**2)*(-4*f - 3 + 25*f + 25*f - 10 + 4*f) as p*f**2 + z*f**3 + a + r*f and give z.", "answer": "50"}
Express (3*f**2 + 0*f**2 - 2*f**2)*(-4*f - 3 + 25*f + 25*f - 10 + 4*f) as p*f**2 + z*f**3 + a + r*f and give z.
50
{"question": "Solve -6*t + 11 + 4 = -0 + 3 for t.", "answer": "2"}
Solve -6*t + 11 + 4 = -0 + 3 for t.
2
{"question": "Let n = 0.475 - 294.475. Let l = n - -121. Let r = 173.071 + l. What is r rounded to two dps?", "answer": "0.07"}
Let n = 0.475 - 294.475. Let l = n - -121. Let r = 173.071 + l. What is r rounded to two dps?
0.07
{"question": "Solve -b = 5*r - 33, r + 346*b - 350*b + 6 = 0 for r.", "answer": "6"}
Solve -b = 5*r - 33, r + 346*b - 350*b + 6 = 0 for r.
6
{"question": "Let d = 296 + -111. What are the prime factors of d?", "answer": "5, 37"}
Let d = 296 + -111. What are the prime factors of d?
5, 37
{"question": "What is the distance between -17 and 474.2850844?", "answer": "491.2850844"}
What is the distance between -17 and 474.2850844?
491.2850844
{"question": "Three letters picked without replacement from {a: 2, m: 2, y: 1, e: 7, l: 2, z: 2}. What is prob of picking 1 z and 2 e?", "answer": "3/40"}
Three letters picked without replacement from {a: 2, m: 2, y: 1, e: 7, l: 2, z: 2}. What is prob of picking 1 z and 2 e?
3/40
{"question": "List the prime factors of 159290080.", "answer": "2, 5, 977, 1019"}
List the prime factors of 159290080.
2, 5, 977, 1019
{"question": "What is (-1 - 71 - (-5453)/82)*596/(-22)?", "answer": "149"}
What is (-1 - 71 - (-5453)/82)*596/(-22)?
149
{"question": "Is 2516238 a multiple of 18?", "answer": "True"}
Is 2516238 a multiple of 18?
True
{"question": "Calculate the highest common factor of 1472202 and 79734.", "answer": "822"}
Calculate the highest common factor of 1472202 and 79734.
822
{"question": "Let p(i) be the second derivative of -2/105*i**6 + 0*i**2 + 1/21*i**4 - 59*i + 5/63*i**3 + 0 - 2/105*i**5 - 1/441*i**7. Let p(z) = 0. Calculate z.", "answer": "-5, -1, 0, 1"}
Let p(i) be the second derivative of -2/105*i**6 + 0*i**2 + 1/21*i**4 - 59*i + 5/63*i**3 + 0 - 2/105*i**5 - 1/441*i**7. Let p(z) = 0. Calculate z.
-5, -1, 0, 1
{"question": "What is 210561013 to the power of 1/6, to the nearest integer?", "answer": "24"}
What is 210561013 to the power of 1/6, to the nearest integer?
24
{"question": "Which is the second biggest value? (a) 0 (b) 0.4 (c) -1 (d) 5 (e) -900 (f) 0.1", "answer": "b"}
Which is the second biggest value? (a) 0 (b) 0.4 (c) -1 (d) 5 (e) -900 (f) 0.1
b
{"question": "-177 (base 10) to base 11", "answer": "-151"}
-177 (base 10) to base 11
-151
{"question": "Is 121376779 prime?", "answer": "False"}
Is 121376779 prime?
False
{"question": "What is 62 minutes after 7:11 PM?", "answer": "8:13 PM"}
What is 62 minutes after 7:11 PM?
8:13 PM
{"question": "What are the prime factors of 1024058?", "answer": "2, 7, 193, 379"}
What are the prime factors of 1024058?
2, 7, 193, 379
{"question": "Calculate -4809200 divided by 5.", "answer": "-961840"}
Calculate -4809200 divided by 5.
-961840
{"question": "Let x = 23 - 19. Suppose 4*t + 8 = 0, x*k - 20 = 8*t - 6*t. What is the greatest common divisor of k and 44?", "answer": "4"}
Let x = 23 - 19. Suppose 4*t + 8 = 0, x*k - 20 = 8*t - 6*t. What is the greatest common divisor of k and 44?
4
{"question": "What comes next: 49371, 97334, 145295, 193254, 241211?", "answer": "289166"}
What comes next: 49371, 97334, 145295, 193254, 241211?
289166
{"question": "Find the second derivative of 90353590*c**5*j**2 - c**5 - 7*c*j**2 + c*j + c - j**2 - j - 188815 wrt c.", "answer": "1807071800*c**3*j**2 - 20*c**3"}
Find the second derivative of 90353590*c**5*j**2 - c**5 - 7*c*j**2 + c*j + c - j**2 - j - 188815 wrt c.
1807071800*c**3*j**2 - 20*c**3
{"question": "((-120)/8100*75*(-1)/((-55)/(-6)))/(-6)", "answer": "-2/99"}
((-120)/8100*75*(-1)/((-55)/(-6)))/(-6)
-2/99
{"question": "Solve -44*s = -730 + 906 for s.", "answer": "-4"}
Solve -44*s = -730 + 906 for s.
-4
{"question": "Simplify (((sqrt(931) + 0 + 3)*6 - (sqrt(931)*1 + sqrt(931) + -2 - (1 + sqrt(931))*-6))*2*-5)**2.", "answer": "-39200*sqrt(19) + 392000"}
Simplify (((sqrt(931) + 0 + 3)*6 - (sqrt(931)*1 + sqrt(931) + -2 - (1 + sqrt(931))*-6))*2*-5)**2.
-39200*sqrt(19) + 392000
{"question": "Collect the terms in 9*k**3 - 77*k**2 + 77*k**2.", "answer": "9*k**3"}
Collect the terms in 9*k**3 - 77*k**2 + 77*k**2.
9*k**3
{"question": "Let q = -97473 + 97475. Let o = -178 - -1243/7. Let u = 9 - 5. Sort -12, q, o, u in decreasing order.", "answer": "u, q, o, -12"}
Let q = -97473 + 97475. Let o = -178 - -1243/7. Let u = 9 - 5. Sort -12, q, o, u in decreasing order.
u, q, o, -12
{"question": "Express (-32*y**2 - 11*y**2 + 11*y**2)*(-3 + 1 + 0)*(0*y + 2*y + 0*y) as u*y + a + z*y**3 + p*y**2 and give z.", "answer": "128"}
Express (-32*y**2 - 11*y**2 + 11*y**2)*(-3 + 1 + 0)*(0*y + 2*y + 0*y) as u*y + a + z*y**3 + p*y**2 and give z.
128
{"question": "Is 39788507 composite?", "answer": "True"}
Is 39788507 composite?
True
{"question": "Let p = -201.00000462 + 201. What is p rounded to 7 decimal places?", "answer": "-0.0000046"}
Let p = -201.00000462 + 201. What is p rounded to 7 decimal places?
-0.0000046
{"question": "Let w(m) = -6481*m**2 - 4390*m - 4. Let u(l) = -12962*l**2 - 8778*l - 9. Let c(p) = 4*u(p) - 9*w(p). What is the second derivative of c(f) wrt f?", "answer": "12962"}
Let w(m) = -6481*m**2 - 4390*m - 4. Let u(l) = -12962*l**2 - 8778*l - 9. Let c(p) = 4*u(p) - 9*w(p). What is the second derivative of c(f) wrt f?
12962
{"question": "Let f(n) be the first derivative of -n**4/4 + 5*n**3 - 9*n**2/2 - 7*n + 18. Is 13 a factor of f(14)?", "answer": "False"}
Let f(n) be the first derivative of -n**4/4 + 5*n**3 - 9*n**2/2 - 7*n + 18. Is 13 a factor of f(14)?
False
{"question": "What is 1724 (base 8) in base 12?", "answer": "698"}
What is 1724 (base 8) in base 12?
698
{"question": "Let s(n) = -n**3 + n**2 + 1. Suppose 0 = 5*l - 1 + 6. Let m(u) = -8*u**3 + 5*u**2 + 6. Let g(i) = l*m(i) + 6*s(i). What is the third derivative of g(q) wrt q?", "answer": "12"}
Let s(n) = -n**3 + n**2 + 1. Suppose 0 = 5*l - 1 + 6. Let m(u) = -8*u**3 + 5*u**2 + 6. Let g(i) = l*m(i) + 6*s(i). What is the third derivative of g(q) wrt q?
12
{"question": "Let k = -85 - -89. Suppose 7*r = k*r. Solve r = 2*d - 5*l + 10, 4*d + 3 + 17 = 2*l for d.", "answer": "-5"}
Let k = -85 - -89. Suppose 7*r = k*r. Solve r = 2*d - 5*l + 10, 4*d + 3 + 17 = 2*l for d.
-5
{"question": "Let c = 7.0489091039 + -7.0489. What is c rounded to 7 dps?", "answer": "0.0000091"}
Let c = 7.0489091039 + -7.0489. What is c rounded to 7 dps?
0.0000091
{"question": "Let y = -12 - -9. Let r = y - -6. Which is greater: 2/3 or r?", "answer": "r"}
Let y = -12 - -9. Let r = y - -6. Which is greater: 2/3 or r?
r
{"question": "Let q(j) = j**3 - 16*j**2 + 16*j - 2. Suppose -16*g = -19*g - 33. Let k = g + 26. List the prime factors of q(k).", "answer": "13"}
Let q(j) = j**3 - 16*j**2 + 16*j - 2. Suppose -16*g = -19*g - 33. Let k = g + 26. List the prime factors of q(k).
13
{"question": "Collect the terms in 1642 - 1642 - 6*d**2.", "answer": "-6*d**2"}
Collect the terms in 1642 - 1642 - 6*d**2.
-6*d**2
{"question": "Rearrange 2864*u + 5380*u + 2220*u + 168*u - 2259*u to m*u + b and give m.", "answer": "8373"}
Rearrange 2864*u + 5380*u + 2220*u + 168*u - 2259*u to m*u + b and give m.
8373
{"question": "What is 1373280 divided by -10?", "answer": "-137328"}
What is 1373280 divided by -10?
-137328
{"question": "Let j be 165/110 - (-1 - 10). Put -0.04, j, 0.2, 1/2 in decreasing order.", "answer": "j, 1/2, 0.2, -0.04"}
Let j be 165/110 - (-1 - 10). Put -0.04, j, 0.2, 1/2 in decreasing order.
j, 1/2, 0.2, -0.04
{"question": "Expand (-2 - 3 + 6)*(2*d + 0*d + 0*d)*(2 - 1 - 4)*(-3 + 4 + 0).", "answer": "-6*d"}
Expand (-2 - 3 + 6)*(2*d + 0*d + 0*d)*(2 - 1 - 4)*(-3 + 4 + 0).
-6*d
{"question": "Let z(i) be the first derivative of -7*i**6/6 - 31*i**3/3 - 35. Find the third derivative of z(n) wrt n.", "answer": "-420*n**2"}
Let z(i) be the first derivative of -7*i**6/6 - 31*i**3/3 - 35. Find the third derivative of z(n) wrt n.
-420*n**2
{"question": "Solve -14 = 9*b - 2*b for b.", "answer": "-2"}
Solve -14 = 9*b - 2*b for b.
-2
{"question": "What is the third derivative of 11809*m**3*r**4 + 189601*m**3*r**2 - m**3 - 2*r**6 wrt r?", "answer": "283416*m**3*r - 240*r**3"}
What is the third derivative of 11809*m**3*r**4 + 189601*m**3*r**2 - m**3 - 2*r**6 wrt r?
283416*m**3*r - 240*r**3
{"question": "What is -922.3266 rounded to the nearest ten?", "answer": "-920"}
What is -922.3266 rounded to the nearest ten?
-920
{"question": "Let y(x) = x - 3. Let q(b) be the third derivative of b**3/6 + 9*b**2. What is -3*q(p) - y(p)?", "answer": "-p"}
Let y(x) = x - 3. Let q(b) be the third derivative of b**3/6 + 9*b**2. What is -3*q(p) - y(p)?
-p
{"question": "Is 1716899 a multiple of 502?", "answer": "False"}
Is 1716899 a multiple of 502?
False
{"question": "Calculate -1203*-2.", "answer": "2406"}
Calculate -1203*-2.
2406
{"question": "Suppose 4*l - 32 = 96. Suppose -3*d + d = -l. What is the highest common divisor of 8 and d?", "answer": "8"}
Suppose 4*l - 32 = 96. Suppose -3*d + d = -l. What is the highest common divisor of 8 and d?
8
{"question": "Let h be ((6 - 2) + -1)/((-6)/(-2716)). Suppose h = -13*s + 149. What is the biggest value in 2/3, -1, s?", "answer": "2/3"}
Let h be ((6 - 2) + -1)/((-6)/(-2716)). Suppose h = -13*s + 149. What is the biggest value in 2/3, -1, s?
2/3
{"question": "What is the next term in 152, 310, 468, 626?", "answer": "784"}
What is the next term in 152, 310, 468, 626?
784
{"question": "Solve 3*o + 63 = -2*g, -32 = o + 305664*g - 305663*g for o.", "answer": "1"}
Solve 3*o + 63 = -2*g, -32 = o + 305664*g - 305663*g for o.
1
{"question": "Let b = 0.15 - -14.85. Let x = 4320 + -4334.956. Let y = x + b. What is y rounded to two dps?", "answer": "0.04"}
Let b = 0.15 - -14.85. Let x = 4320 + -4334.956. Let y = x + b. What is y rounded to two dps?
0.04
{"question": "What is prob of sequence bqx when three letters picked without replacement from qoxxxbxxb?", "answer": "5/252"}
What is prob of sequence bqx when three letters picked without replacement from qoxxxbxxb?
5/252
{"question": "Calculate ((-29)/261)/(400/30150)*16/(-2).", "answer": "67"}
Calculate ((-29)/261)/(400/30150)*16/(-2).
67
{"question": "What is b in 2*b**2/3 - 11900*b - 29567798/3 = 0?", "answer": "-793, 18643"}
What is b in 2*b**2/3 - 11900*b - 29567798/3 = 0?
-793, 18643
{"question": "Solve 2*k**3/3 + 624*k**2 + 40120*k + 2006816/3 = 0.", "answer": "-868, -34"}
Solve 2*k**3/3 + 624*k**2 + 40120*k + 2006816/3 = 0.
-868, -34
{"question": "Calculate the greatest common factor of 9820 and 150224396.", "answer": "1964"}
Calculate the greatest common factor of 9820 and 150224396.
1964
{"question": "Put -4/13, -1, 131 in decreasing order.", "answer": "131, -4/13, -1"}
Put -4/13, -1, 131 in decreasing order.
131, -4/13, -1
{"question": "What is the units digit of 81347?", "answer": "7"}
What is the units digit of 81347?
7
{"question": "Let a(o) = 9*o - 2*o - o + 1. Let u(v) = 138*v - 547. Let g be u(4). Let t(h) = -7*h - 1. Determine g*t(f) + 6*a(f).", "answer": "f + 1"}
Let a(o) = 9*o - 2*o - o + 1. Let u(v) = 138*v - 547. Let g be u(4). Let t(h) = -7*h - 1. Determine g*t(f) + 6*a(f).
f + 1