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{"question": "What is the p'th term of 88171, 348519, 782431, 1389907, 2170947?", "answer": "86782*p**2 + 2*p + 1387"}
What is the p'th term of 88171, 348519, 782431, 1389907, 2170947?
86782*p**2 + 2*p + 1387
{"question": "Collect the terms in -200*b + 52*b**3 - 21*b**3 + 200*b - 16*b**3 - 16*b**3.", "answer": "-b**3"}
Collect the terms in -200*b + 52*b**3 - 21*b**3 + 200*b - 16*b**3 - 16*b**3.
-b**3
{"question": "Let f(g) be the third derivative of -g**6/420 + 199*g**5/70 - 7450*g**4/7 + 88804*g**3/21 - 4443*g**2. Factor f(x).", "answer": "-2*(x - 298)**2*(x - 1)/7"}
Let f(g) be the third derivative of -g**6/420 + 199*g**5/70 - 7450*g**4/7 + 88804*g**3/21 - 4443*g**2. Factor f(x).
-2*(x - 298)**2*(x - 1)/7
{"question": "Let j(h) = h. Let k(i) = 1. Let x(g) = 14*g**2 - 21. Let d(u) = 21*k(u) + x(u). What is d(j(z))?", "answer": "14*z**2"}
Let j(h) = h. Let k(i) = 1. Let x(g) = 14*g**2 - 21. Let d(u) = 21*k(u) + x(u). What is d(j(z))?
14*z**2
{"question": "What is 662 minutes before 3:12 AM?", "answer": "4:10 PM"}
What is 662 minutes before 3:12 AM?
4:10 PM
{"question": "Find the common denominator of 29/114 and 113/9995862.", "answer": "9995862"}
Find the common denominator of 29/114 and 113/9995862.
9995862
{"question": "Sort -4, 0, -2270 in decreasing order.", "answer": "0, -4, -2270"}
Sort -4, 0, -2270 in decreasing order.
0, -4, -2270
{"question": "Let h(w) = w**3 - 47*w**2 + 107*w - 669. What is the remainder when 684 is divided by h(45)?", "answer": "12"}
Let h(w) = w**3 - 47*w**2 + 107*w - 669. What is the remainder when 684 is divided by h(45)?
12
{"question": "Which is bigger: 5 or 21004/4351?", "answer": "5"}
Which is bigger: 5 or 21004/4351?
5
{"question": "What is the biggest value in 4, 1/4, 2/21, 0?", "answer": "4"}
What is the biggest value in 4, 1/4, 2/21, 0?
4
{"question": "Solve 5*h + 241 = 2*j, 229122*h + 1096 = 229099*h + 5*j for h.", "answer": "-47"}
Solve 5*h + 241 = 2*j, 229122*h + 1096 = 229099*h + 5*j for h.
-47
{"question": "What is -3 divided by -52875552?", "answer": "1/17625184"}
What is -3 divided by -52875552?
1/17625184
{"question": "What is the value of (((-34615)/207)/35)/(108/(-486))?", "answer": "43/2"}
What is the value of (((-34615)/207)/35)/(108/(-486))?
43/2
{"question": "Collect the terms in -19915*y + 10*y**3 + 19915*y.", "answer": "10*y**3"}
Collect the terms in -19915*y + 10*y**3 + 19915*y.
10*y**3
{"question": "Which is the fourth smallest value? (a) 4 (b) -4/3 (c) -242 (d) -5 (e) 6/17 (f) -2", "answer": "b"}
Which is the fourth smallest value? (a) 4 (b) -4/3 (c) -242 (d) -5 (e) 6/17 (f) -2
b
{"question": "Two letters picked without replacement from {l: 2, t: 1}. What is prob of picking 2 l?", "answer": "1/3"}
Two letters picked without replacement from {l: 2, t: 1}. What is prob of picking 2 l?
1/3
{"question": "What is ((-553)/316*(-4)/(-14))/((-5)/(-14))?", "answer": "-7/5"}
What is ((-553)/316*(-4)/(-14))/((-5)/(-14))?
-7/5
{"question": "What is the value of ((-1)/1 - 3)/(5/5)?", "answer": "-4"}
What is the value of ((-1)/1 - 3)/(5/5)?
-4
{"question": "Does 3 divide 1213779?", "answer": "True"}
Does 3 divide 1213779?
True
{"question": "Suppose 0 = -2*m - 19 + 17. Sort 5, -16, m, 0 in decreasing order.", "answer": "5, 0, m, -16"}
Suppose 0 = -2*m - 19 + 17. Sort 5, -16, m, 0 in decreasing order.
5, 0, m, -16
{"question": "Solve -5*a - 1 = -2*y - 3, 4*a = -0*a for y.", "answer": "-1"}
Solve -5*a - 1 = -2*y - 3, 4*a = -0*a for y.
-1
{"question": "Suppose f = 5*f - 120. What is the highest common divisor of f and 10?", "answer": "10"}
Suppose f = 5*f - 120. What is the highest common divisor of f and 10?
10
{"question": "Suppose 19 = 4*u + 3*s - 0, 2*u - 2*s = 6. Suppose -u*h - 30 = h. Let l = -5483 + 5483. Is l >= h?", "answer": "True"}
Suppose 19 = 4*u + 3*s - 0, 2*u - 2*s = 6. Suppose -u*h - 30 = h. Let l = -5483 + 5483. Is l >= h?
True
{"question": "Calculate 121284 divided by 3369.", "answer": "36"}
Calculate 121284 divided by 3369.
36
{"question": "Is 1/171 less than -2?", "answer": "False"}
Is 1/171 less than -2?
False
{"question": "Expand (-3*q + 3*q + 2*q)*(2 - 4 + 4)*(9 - 9 + 15)*(-4 + 4 + 2).", "answer": "120*q"}
Expand (-3*q + 3*q + 2*q)*(2 - 4 + 4)*(9 - 9 + 15)*(-4 + 4 + 2).
120*q
{"question": "Factor 9*r**2 + 22*r**3 + 5*r**3 + 3*r - 12 - 4*r - 23*r.", "answer": "3*(r - 1)*(3*r + 2)**2"}
Factor 9*r**2 + 22*r**3 + 5*r**3 + 3*r - 12 - 4*r - 23*r.
3*(r - 1)*(3*r + 2)**2
{"question": "Factor -5*g**5 - 70*g**4 - 335*g**3 - 730*g**2 - 740*g - 280.", "answer": "-5*(g + 1)*(g + 2)**3*(g + 7)"}
Factor -5*g**5 - 70*g**4 - 335*g**3 - 730*g**2 - 740*g - 280.
-5*(g + 1)*(g + 2)**3*(g + 7)
{"question": "Solve -876 + 1184 = -28*p for p.", "answer": "-11"}
Solve -876 + 1184 = -28*p for p.
-11
{"question": "Is -7026490 at least as big as -7026487?", "answer": "False"}
Is -7026490 at least as big as -7026487?
False
{"question": "Suppose -3*g + 275 = 2*g. Let y = g - 114. Let u = y - -118. Is u a composite number?", "answer": "False"}
Suppose -3*g + 275 = 2*g. Let y = g - 114. Let u = y - -118. Is u a composite number?
False
{"question": "Let u = -37 - -34. Which is the third smallest value? (a) -1 (b) 27 (c) u (d) 4", "answer": "d"}
Let u = -37 - -34. Which is the third smallest value? (a) -1 (b) 27 (c) u (d) 4
d
{"question": "Calculate ((-5)/(3080/(-13717)) + -22)/((-30)/(-12)).", "answer": "3/28"}
Calculate ((-5)/(3080/(-13717)) + -22)/((-30)/(-12)).
3/28
{"question": "Suppose 3*g = -3*g + 96. Suppose 2*h = -0*h + g. Does 3 divide h?", "answer": "False"}
Suppose 3*g = -3*g + 96. Suppose 2*h = -0*h + g. Does 3 divide h?
False
{"question": "What is the third derivative of -18*v**2 + 5*v**6 + 14*v**2 + 2*v**6 - 23*v**2 wrt v?", "answer": "840*v**3"}
What is the third derivative of -18*v**2 + 5*v**6 + 14*v**2 + 2*v**6 - 23*v**2 wrt v?
840*v**3
{"question": "What is (-9*(-2)/24*2*5202/465579)/(-3)?", "answer": "-1/179"}
What is (-9*(-2)/24*2*5202/465579)/(-3)?
-1/179
{"question": "In base 7, what is -22660 + -12?", "answer": "-23002"}
In base 7, what is -22660 + -12?
-23002
{"question": "Let l = 7 + -3. Suppose 0*v = -m - 2*v + 36, m = -4*v + 38. Let u = m - 2. Calculate the greatest common factor of l and u.", "answer": "4"}
Let l = 7 + -3. Suppose 0*v = -m - 2*v + 36, m = -4*v + 38. Let u = m - 2. Calculate the greatest common factor of l and u.
4
{"question": "What is the remainder when 469500 is divided by 469357?", "answer": "143"}
What is the remainder when 469500 is divided by 469357?
143
{"question": "Let d = 4 - 7. Let v = d - -7. Suppose 0*z = 3*z - 6. What is the greatest common factor of v and z?", "answer": "2"}
Let d = 4 - 7. Let v = d - -7. Suppose 0*z = 3*z - 6. What is the greatest common factor of v and z?
2
{"question": "Calculate prob of sequence ssn when three letters picked without replacement from {s: 8, n: 2}.", "answer": "7/45"}
Calculate prob of sequence ssn when three letters picked without replacement from {s: 8, n: 2}.
7/45
{"question": "Find h, given that 560/17*h**3 + 7776/17 + 70/17*h**4 - 1200/17*h**2 + 2/17*h**5 - 4320/17*h = 0.", "answer": "-18, -3, 2"}
Find h, given that 560/17*h**3 + 7776/17 + 70/17*h**4 - 1200/17*h**2 + 2/17*h**5 - 4320/17*h = 0.
-18, -3, 2
{"question": "Simplify (-3*sqrt(832) + 2 + sqrt(1872) + ((sqrt(832) + 1)*-1 - (sqrt(832)*2 - sqrt(832))*1))**2*-3.", "answer": "-30579 + 168*sqrt(13)"}
Simplify (-3*sqrt(832) + 2 + sqrt(1872) + ((sqrt(832) + 1)*-1 - (sqrt(832)*2 - sqrt(832))*1))**2*-3.
-30579 + 168*sqrt(13)
{"question": "What is the k'th term of -19, -23, -39, -73, -131, -219, -343, -509?", "answer": "-k**3 + 3*k - 21"}
What is the k'th term of -19, -23, -39, -73, -131, -219, -343, -509?
-k**3 + 3*k - 21
{"question": "Suppose -5*c + c = -36. Let u = -7 + c. Suppose 0 = u*k - 0*k - 278. Is k a prime number?", "answer": "True"}
Suppose -5*c + c = -36. Let u = -7 + c. Suppose 0 = u*k - 0*k - 278. Is k a prime number?
True
{"question": "Simplify 0 + (5 + (-1 + (sqrt(242) - (-2 + sqrt(242) + sqrt(242) + sqrt(242))) + sqrt(242) - (-1*sqrt(72) + 4)))**2 + -2.", "answer": "-20*sqrt(2) + 52"}
Simplify 0 + (5 + (-1 + (sqrt(242) - (-2 + sqrt(242) + sqrt(242) + sqrt(242))) + sqrt(242) - (-1*sqrt(72) + 4)))**2 + -2.
-20*sqrt(2) + 52
{"question": "Suppose -203*q - 5221 = -38853 - 55891. Solve 0 = 13*f - q + 480 for f.", "answer": "-3"}
Suppose -203*q - 5221 = -38853 - 55891. Solve 0 = 13*f - q + 480 for f.
-3
{"question": "Let z(b) = -16*b**3 + 3*b**2 - 11*b - 3. Let q(p) = 47*p**3 - 8*p**2 + 32*p + 8. Let t(k) = -3*q(k) - 8*z(k). Find the second derivative of t(d) wrt d.", "answer": "-78*d"}
Let z(b) = -16*b**3 + 3*b**2 - 11*b - 3. Let q(p) = 47*p**3 - 8*p**2 + 32*p + 8. Let t(k) = -3*q(k) - 8*z(k). Find the second derivative of t(d) wrt d.
-78*d
{"question": "Let z be (-2 + (-3)/(-2))*(1 + -33). Suppose 5*h = 3*h - z. Let t(v) = 9*v + 2. Let q(c) = -14*c - 3. Give h*t(y) - 5*q(y).", "answer": "-2*y - 1"}
Let z be (-2 + (-3)/(-2))*(1 + -33). Suppose 5*h = 3*h - z. Let t(v) = 9*v + 2. Let q(c) = -14*c - 3. Give h*t(y) - 5*q(y).
-2*y - 1
{"question": "Which is the nearest to -10? (a) 1.8 (b) 0 (c) 6635 (d) 5", "answer": "b"}
Which is the nearest to -10? (a) 1.8 (b) 0 (c) 6635 (d) 5
b
{"question": "Suppose 4*t - 11 + 32 = -3*j, 5*t - 3*j + 6 = 0. Let b be 8/t*(2 - 4). Let a = 86/15 - b. Which is bigger: a or 0?", "answer": "a"}
Suppose 4*t - 11 + 32 = -3*j, 5*t - 3*j + 6 = 0. Let b be 8/t*(2 - 4). Let a = 86/15 - b. Which is bigger: a or 0?
a
{"question": "Simplify -3*((1*sqrt(77)*-2 - sqrt(77) - sqrt(77) - 4*sqrt(77)*2)*6)/(sqrt(11) + (2*sqrt(99))/sqrt(9) + (sqrt(11) - -5*(sqrt(11) - sqrt(11)*2))).", "answer": "-216*sqrt(7)"}
Simplify -3*((1*sqrt(77)*-2 - sqrt(77) - sqrt(77) - 4*sqrt(77)*2)*6)/(sqrt(11) + (2*sqrt(99))/sqrt(9) + (sqrt(11) - -5*(sqrt(11) - sqrt(11)*2))).
-216*sqrt(7)
{"question": "List the prime factors of 329438477.", "answer": "59, 479, 11657"}
List the prime factors of 329438477.
59, 479, 11657
{"question": "What is the hundred thousands digit of 17521872?", "answer": "5"}
What is the hundred thousands digit of 17521872?
5
{"question": "Let z be ((-1)/3 - -2)/((-10)/(-12)). List the prime factors of (z/(-6))/(4/(-1176)).", "answer": "2, 7"}
Let z be ((-1)/3 - -2)/((-10)/(-12)). List the prime factors of (z/(-6))/(4/(-1176)).
2, 7
{"question": "-3575.7+20440611", "answer": "20437035.3"}
-3575.7+20440611
20437035.3
{"question": "What is the v'th term of -7, -48, -161, -382, -747, -1292, -2053?", "answer": "-6*v**3 + v - 2"}
What is the v'th term of -7, -48, -161, -382, -747, -1292, -2053?
-6*v**3 + v - 2
{"question": "-4456854 * 0.131", "answer": "-583847.874"}
-4456854 * 0.131
-583847.874
{"question": "What is the second derivative of -9565*l**4 + 11466*l - 1 wrt l?", "answer": "-114780*l**2"}
What is the second derivative of -9565*l**4 + 11466*l - 1 wrt l?
-114780*l**2
{"question": "Rearrange (-2 - 4 + 4)*(-3 + 3*w + 3)*(-1 - 8 - 13)*(-2*w + 2*w + 2*w**3 + w) to b + y*w**3 + f*w + v*w**2 + p*w**4 and give v.", "answer": "132"}
Rearrange (-2 - 4 + 4)*(-3 + 3*w + 3)*(-1 - 8 - 13)*(-2*w + 2*w + 2*w**3 + w) to b + y*w**3 + f*w + v*w**2 + p*w**4 and give v.
132
{"question": "Evaluate -16 - ((5 - 6) + -13 + 5 + -28).", "answer": "21"}
Evaluate -16 - ((5 - 6) + -13 + 5 + -28).
21
{"question": "How many minutes are there between 1:05 AM and 10:21 AM?", "answer": "556"}
How many minutes are there between 1:05 AM and 10:21 AM?
556
{"question": "What is the greatest common divisor of 3946006 and 578?", "answer": "578"}
What is the greatest common divisor of 3946006 and 578?
578
{"question": "Collect the terms in -91 - 26 - 198 - 75 - 2*i**2.", "answer": "-2*i**2 - 390"}
Collect the terms in -91 - 26 - 198 - 75 - 2*i**2.
-2*i**2 - 390
{"question": "Let p(q) = q**3 - 8*q**2 - 9*q + 6. Let l be p(9). Solve 9*n = l*n + 6 for n.", "answer": "2"}
Let p(q) = q**3 - 8*q**2 - 9*q + 6. Let l be p(9). Solve 9*n = l*n + 6 for n.
2
{"question": "Is 1542678805 a prime number?", "answer": "False"}
Is 1542678805 a prime number?
False
{"question": "Let n(q) = -18*q - 540. Let p(d) = -5*d - 180. Calculate -2*n(g) + 7*p(g).", "answer": "g - 180"}
Let n(q) = -18*q - 540. Let p(d) = -5*d - 180. Calculate -2*n(g) + 7*p(g).
g - 180
{"question": "Is 239 greater than or equal to -11319?", "answer": "True"}
Is 239 greater than or equal to -11319?
True
{"question": "Let k = -48 - -144. What is the remainder when k is divided by 20?", "answer": "16"}
Let k = -48 - -144. What is the remainder when k is divided by 20?
16
{"question": "What is the greatest common divisor of 1592 and 32?", "answer": "8"}
What is the greatest common divisor of 1592 and 32?
8
{"question": "What is the remainder when 2832583 is divided by 188825?", "answer": "208"}
What is the remainder when 2832583 is divided by 188825?
208
{"question": "Let y(v) = v**2 - 13*v - 3. Let q be y(12). Suppose -5*n - 16 = 29. Let d(k) = -k**3 - 10*k**2 - 13*k - 34. Let g be d(n). Put g, q, -1 in increasing order.", "answer": "q, -1, g"}
Let y(v) = v**2 - 13*v - 3. Let q be y(12). Suppose -5*n - 16 = 29. Let d(k) = -k**3 - 10*k**2 - 13*k - 34. Let g be d(n). Put g, q, -1 in increasing order.
q, -1, g
{"question": "What are the prime factors of 37?", "answer": "37"}
What are the prime factors of 37?
37
{"question": "What is the ten thousands digit of 3069810598?", "answer": "1"}
What is the ten thousands digit of 3069810598?
1
{"question": "What is the third root of 5894 to the nearest integer?", "answer": "18"}
What is the third root of 5894 to the nearest integer?
18
{"question": "Let l = -84.63 + 84.5893. What is the second biggest value in 0, -3, l?", "answer": "l"}
Let l = -84.63 + 84.5893. What is the second biggest value in 0, -3, l?
l
{"question": "What is the ten millions digit of 2443904408?", "answer": "4"}
What is the ten millions digit of 2443904408?
4
{"question": "Let b = -4 + -1. Let n be 1 + 1 - (4 + b). Solve -n*t - 3*c = c + 11, 4*c - 14 = 2*t for t.", "answer": "-5"}
Let b = -4 + -1. Let n be 1 + 1 - (4 + b). Solve -n*t - 3*c = c + 11, 4*c - 14 = 2*t for t.
-5
{"question": "Calculate the remainder when 28112 is divided by 2811.", "answer": "2"}
Calculate the remainder when 28112 is divided by 2811.
2
{"question": "What are the prime factors of 756?", "answer": "2, 3, 7"}
What are the prime factors of 756?
2, 3, 7
{"question": "Simplify (m/(m*m/m**2))**(-5)*(m**(-12)*m)/(m*m**(12/7)*m) assuming m is positive.", "answer": "m**(-138/7)"}
Simplify (m/(m*m/m**2))**(-5)*(m**(-12)*m)/(m*m**(12/7)*m) assuming m is positive.
m**(-138/7)
{"question": "Suppose -4 = -n + 2. Let o = -6 + n. Suppose 4*k - 196 = -o*k. Is k prime?", "answer": "False"}
Suppose -4 = -n + 2. Let o = -6 + n. Suppose 4*k - 196 = -o*k. Is k prime?
False
{"question": "Solve -1353 + 3359 = 118*x for x.", "answer": "17"}
Solve -1353 + 3359 = 118*x for x.
17
{"question": "Simplify sqrt(17) + 0 + -2 - (2*sqrt(17)*-5 + sqrt(17)) - 1*((-2*sqrt(204) + sqrt(204))/sqrt(12))**2.", "answer": "-19 + 10*sqrt(17)"}
Simplify sqrt(17) + 0 + -2 - (2*sqrt(17)*-5 + sqrt(17)) - 1*((-2*sqrt(204) + sqrt(204))/sqrt(12))**2.
-19 + 10*sqrt(17)
{"question": "Rearrange -42*m + 871*m - 173*m + 561*m + 1101*m to the form k + o*m and give o.", "answer": "2318"}
Rearrange -42*m + 871*m - 173*m + 561*m + 1101*m to the form k + o*m and give o.
2318
{"question": "Express (-16*g + 5*g + 4*g)*((-4 - 4 + 2)*(0 + 0 - 2*g) - 2*g + g + 4*g + 1 - 1 - 2*g) as m + l*g + r*g**2 and give r.", "answer": "-91"}
Express (-16*g + 5*g + 4*g)*((-4 - 4 + 2)*(0 + 0 - 2*g) - 2*g + g + 4*g + 1 - 1 - 2*g) as m + l*g + r*g**2 and give r.
-91
{"question": "What is the c'th term of -1579686, -3159313, -4738914, -6318477, -7897990, -9477441?", "answer": "2*c**3 + c**2 - 1579644*c - 45"}
What is the c'th term of -1579686, -3159313, -4738914, -6318477, -7897990, -9477441?
2*c**3 + c**2 - 1579644*c - 45
{"question": "What is the value of ((-24)/16)/(-42*18/(-18144))?", "answer": "-36"}
What is the value of ((-24)/16)/(-42*18/(-18144))?
-36
{"question": "2 (base 8) to base 11", "answer": "2"}
2 (base 8) to base 11
2
{"question": "Let w(s) = 3*s**2 + 25*s + 98. Determine w(-6).", "answer": "56"}
Let w(s) = 3*s**2 + 25*s + 98. Determine w(-6).
56
{"question": "What is 423 minutes after 3:53 PM?", "answer": "10:56 PM"}
What is 423 minutes after 3:53 PM?
10:56 PM
{"question": "Suppose h + 10 - 4 = 0. Let f be (h - -5)/(3 + -4). Calculate the highest common divisor of 1 and f.", "answer": "1"}
Suppose h + 10 - 4 = 0. Let f be (h - -5)/(3 + -4). Calculate the highest common divisor of 1 and f.
1
{"question": "Expand (3*y**4 + 6*y - 6*y)*(0*y + 3*y + y) - 7*y**3 + 0*y**5 + 5 - 8 - y**5.", "answer": "11*y**5 - 7*y**3 - 3"}
Expand (3*y**4 + 6*y - 6*y)*(0*y + 3*y + y) - 7*y**3 + 0*y**5 + 5 - 8 - y**5.
11*y**5 - 7*y**3 - 3
{"question": "What is 760958 to the power of 1/3, to the nearest integer?", "answer": "91"}
What is 760958 to the power of 1/3, to the nearest integer?
91
{"question": "Let q(g) = g**2 - 113*g + 3213. Determine q(48).", "answer": "93"}
Let q(g) = g**2 - 113*g + 3213. Determine q(48).
93
{"question": "Let o(g) = -2480*g + 1739. Let b(s) = -4962*s + 3480. Let p(h) = -3*b(h) + 7*o(h). What is the first derivative of p(u) wrt u?", "answer": "-2474"}
Let o(g) = -2480*g + 1739. Let b(s) = -4962*s + 3480. Let p(h) = -3*b(h) + 7*o(h). What is the first derivative of p(u) wrt u?
-2474
{"question": "Two letters picked without replacement from {f: 15, q: 5}. Give prob of picking 2 f.", "answer": "21/38"}
Two letters picked without replacement from {f: 15, q: 5}. Give prob of picking 2 f.
21/38
{"question": "Product of -1.2 and -0.019.", "answer": "0.0228"}
Product of -1.2 and -0.019.
0.0228
{"question": "Let q be (-8 + 5)/((-3)/2). Let j(p) = 2*p**3 + 3*p**2 - 3*p. What is the units digit of j(q)?", "answer": "2"}
Let q be (-8 + 5)/((-3)/2). Let j(p) = 2*p**3 + 3*p**2 - 3*p. What is the units digit of j(q)?
2
{"question": "Let l = 374 + -374. Let l + 3/2*u - 1/2*u**2 = 0. What is u?", "answer": "0, 3"}
Let l = 374 + -374. Let l + 3/2*u - 1/2*u**2 = 0. What is u?
0, 3