2 - 1
Let b = 47 - 42. Let c(q) = 4*q - 24. Let s(k) = -k + 5. Calculate b*c(t) + 24*s(t).
-4*t
Let p(g) = g**3 + g**2 - g + 1. Let s(l) = l**3 + 2*l - 1. Determine p(a) + s(a).
2*a**3 + a**2 + a
Let l(v) = 13*v**3 + 2*v - 1. Let c(o) = 53*o**3 + o**2 + 9*o - 5. Determine 2*c(g) - 9*l(g).
-11*g**3 + 2*g**2 - 1
Let u(h) = 5*h**3 - 2*h**2 + 2*h. Let r(y) = y**3 + 8*y**2 - 11*y - 15. Let f be r(-9). Let j(k) = 5*k**3 - 3*k**2 + 3*k. Give f*u(a) - 2*j(a).
5*a**3
Let y(w) = -129*w**2 + 33. Let d(z) = -8*z**2 + 2. Determine 99*d(s) - 6*y(s).
-18*s**2
Let t(l) be the third derivative of -l**3/6 + 47*l**2. Let q(a) = -2*a + 5. Calculate -q(x) - 4*t(x).
2*x - 1
Let x(k) = -13*k - 4. Suppose 0*c + 2 = c. Let l(g) = 0 + c*g - 1 - 5*g. What is -9*l(h) + 2*x(h)?
h + 1
Suppose -8 = 2*p - 5*x, 5*p + 15 + 5 = -4*x. Let l(r) = 2*r**3 + 4*r**2 + 2*r - 6. Let q(w) = -w**3 - w**2 - w + 1. Give p*q(c) - l(c).
2*c**3 + 2*c + 2
Let k be (-5)/((-10)/(-8)) - 1. Let q(o) = -o - 1. Let z(x) = 2*x + 5. Calculate k*q(r) - z(r).
3*r
Let g(a) be the second derivative of -2*a**3/3 + 5*a**2/2 + 6*a. Let n(w) = -6*w + 8. What is -8*g(o) + 5*n(o)?
2*o
Let g(s) = -7*s + 4. Let j(b) = 4*b + 2*b - 5 + 2*b. Suppose 0 = 2*t + 3*t - 75. Suppose -4*z - x + 4 = 3*x, 5*z + 3*x - t = 0. Give z*g(n) + 5*j(n).
-2*n - 1
Let h(g) = g + 1. Suppose -u + 2*y - 4 = 1, -15 = -5*y. Let o(n) = u - 2*n - 3*n - 6 - n**2. Determine -3*h(w) - o(w).
w**2 + 2*w + 2
Let a(y) = y**2 + y + 1. Let x(i) be the third derivative of -i**4/8 - i**3/2 - 28*i**2. What is -3*a(w) - x(w)?
-3*w**2
Let c(s) = -6*s**2 + 5*s - 4. Suppose 0*b = -5*b. Suppose 2*x + b*x = 18. Let i(k) = -9*k - 2*k + 4*k**2 + 9*k**2 + 9. Calculate x*c(y) + 4*i(y).
-2*y**2 + y
Let m(a) = 5*a + 6. Let y(j) = 9*j + 7. Let c(i) = -9*i - 5. Let g(f) = -2*c(f) - 3*y(f). Calculate 3*g(p) + 5*m(p).
-2*p - 3
Let t(p) = -7*p + 3*p - p + 2. Let j(g) = 4*g + 1 + 2*g - 2*g - 3. What is -3*j(o) - 2*t(o)?
-2*o + 2
Let j(c) = 3*c**3 - c**2 + 2. Suppose -38 + 8 = 5*x. Suppose -4*m = 5*q - 26, m + m = 2*q + 4. Let f(h) = 4*h**3 - h**2 + 3. Give m*f(v) + x*j(v).
-2*v**3 + 2*v**2
Let z(o) = -o**2 + 2*o + 3. Let u be z(0). Let k(c) = -c**3 + c**2. Let h(p) = 2*p**3 - 3*p**2 + p + 2. Calculate u*k(g) + h(g).
-g**3 + g + 2
Suppose -s + 10 = s. Let y(q) = -3*q**3 - 5*q**2 + 2*q - 5. Let o(a) = 2*a**3 + 4*a**2 - 2*a + 4. Calculate s*o(x) + 4*y(x).
-2*x**3 - 2*x
Let q(m) = 1. Let a(z) = -z - 2. Suppose -2*g = -4*r, 0 = -6*r + 4*r - 4*g + 10. Calculate r*a(d) + 3*q(d).
-d + 1
Let a(t) = 35*t**2 + 7*t + 7. Let x(w) = w**2 + w + 1. What is -a(k) + 7*x(k)?
-28*k**2
Let v(u) = -16*u**2 + u - 9. Let a(f) = -8*f**2 + f - 5. What is -5*a(i) + 3*v(i)?
-8*i**2 - 2*i - 2
Let c(z) be the first derivative of z - 5. Let g(t) = t + 3. What is -3*c(k) + g(k)?
k
Let z(x) = -x**2 + x - 1. Let j(t) be the first derivative of 5*t**3/3 - 3*t**2/2 + 4*t + 1. Let q = 33 + -30. Calculate q*z(u) + j(u).
2*u**2 + 1
Let w(h) = -6*h**2 + 5*h - 11*h - 3 + 6. Let s(n) = 2*n**2 + 2*n - 1. Suppose -7*l + 28 = -14*l. Calculate l*w(y) - 11*s(y).
2*y**2 + 2*y - 1
Let j(x) = -7*x**3 + 5*x**3 - x**2 - 5*x**3. Let a(c) = c**3. Calculate 4*a(q) + j(q).
-3*q**3 - q**2
Let m(i) = 10*i + 4. Let w(t) = -49*t - 21. What is -21*m(d) - 4*w(d)?
-14*d
Let b(o) = -11*o**2 - 3. Let k(f) = 11*f**2 + 2. What is 2*b(y) + 3*k(y)?
11*y**2
Suppose -3*x + x = -6. Let f(w) = -2*w**2 - 2*w - 2. Let y(q) = 2*q**2 + 2*q + 1. Let z = -26 + 36. Suppose 5*t + 0*t = z. Give t*f(a) + x*y(a).
2*a**2 + 2*a - 1
Let x(d) = 3*d**3 - 6*d**2 - 6*d - 4. Let h be 2/(-6) + (-88)/(-12). Suppose -h = 2*b + 3. Let q(k) = -4*k**3 + 7*k**2 + 7*k + 5. Calculate b*x(z) - 4*q(z).
z**3 + 2*z**2 + 2*z
Suppose 48 = -0*i - 8*i. Let h(l) = -3*l - 6. Let m(b) = b + 2. Determine i*h(d) - 17*m(d).
d + 2
Let s(h) = -h**2 - 1. Let t(j) = -j. Give -s(o) + t(o).
o**2 - o + 1
Let c(a) = a**2 - 1. Let d(l) = -4*l**2 + 1. Let z = -12 + 6. Let n(u) = u**2 + u - 4. Let k be n(2). Let i be k - (-3)/z*6. Give i*d(g) - 3*c(g).
g**2 + 2
Let u(i) be the third derivative of -i**5/60 - i**4/24 + i**3/6 + 3*i**2. Let d(j) = j**2 + 2*j - 1. Give d(h) + 3*u(h).
-2*h**2 - h + 2
Let z(s) = -s**3 - s - 1. Let i(q) = -6*q**3 - q - 3. What is -i(w) + z(w)?
5*w**3 + 2
Let h(x) = 8*x**2 + 3*x - 4. Let b(d) = 15*d**2 + 6*d - 7. Calculate -4*b(p) + 7*h(p).
-4*p**2 - 3*p
Let a(c) = c**3 + c**2 - c. Let b(z) = z**2 + z - 1. Let m(t) = 1. Let h(p) = -b(p) - m(p). Give -a(i) + h(i).
-i**3 - 2*i**2
Let k(n) = n**3 - n. Let o(f) = -5*f + f**2 - f**2 + 5*f**3. Let q be (28/(-8) - -3)/(2/4). Determine q*o(x) + 3*k(x).
-2*x**3 + 2*x
Suppose 4*w = 5*m + 8, -w + 4 = w - 4*m. Let h(o) = 1 - 4*o**2 + o + 4*o**2 - o**w. Suppose l - 11 = -0*l. Let u(j) = 6*j**2 - 6*j - 6. What is l*h(k) + 2*u(k)?
k**2 - k - 1
Suppose 2*w = -3*w + 10. Let g(s) = 10*s + 3*s**2 + w*s - 4*s + 8. Let x(y) = -3 + 30*y**2 + y - 31*y**2 - 2*y - 2*y. What is -3*g(z) - 8*x(z)?
-z**2
Let g(h) = -3 + 4 - 2 + 4*h**2 - 4*h + 3. Let d(a) = 16*a**2 - 17*a + 9. Give -2*d(t) + 9*g(t).
4*t**2 - 2*t
Let o(x) = -2*x**2 - 4*x - 18. Let k(n) = n. Calculate -4*k(l) - o(l).
2*l**2 + 18
Let x(p) = p**3 - 4*p**2. Let r(d) = -3*d - 6. Let v be r(-3). Let a(o) = 2*o**3 - 5*o**2 - o. What is v*x(h) - 2*a(h)?
-h**3 - 2*h**2 + 2*h
Let z(h) = -h**2 - 21*h + 6. Let v(y) = 2*y - 5. Let c(a) = -5*a + 11. Let n(w) = 6*c(w) + 13*v(w). Determine 11*n(s) - 2*z(s).
2*s**2 - 2*s - 1
Let k(x) = -19*x**3 + 19*x**2 + 13*x + 13. Let v(i) = -9*i**3 + 10*i**2 + 6*i + 6. Give -6*k(n) + 13*v(n).
-3*n**3 + 16*n**2
Let y(f) = 10*f - 4. Let x(z) = -29*z + 11. What is -4*x(m) - 11*y(m)?
6*m
Let d be (3 - 1)/(18/189). Let p(w) = w**3. Let z(a) = 8*a**3. What is d*p(c) - 3*z(c)?
-3*c**3
Suppose -3*l - 5*s = 20, 0 = -5*l + 4*l + 5*s - 40. Let w = -10 - l. Let x(c) = 10*c + 7. Let r(j) = 7*j + 5. Calculate w*x(g) - 7*r(g).
g
Let z(q) be the third derivative of -11*q**5/60 + 17*q**4/24 + 17*q**3/6 - 7*q**2 + 2*q. Let a(s) = -5*s**2 + 8*s + 8. Give 13*a(y) - 6*z(y).
y**2 + 2*y + 2
Let s(b) = 9*b**3 + 15*b**2 - 7*b + 11. Let k(g) = 5*g**3 + 8*g**2 - 4*g + 6. Determine 11*k(o) - 6*s(o).
o**3 - 2*o**2 - 2*o
Let u(r) = 1. Let v(d) = -d - 1. Let m(f) = 2*f + 2. Let n(c) = m(c) + v(c). Suppose 8 = 2*j + 2. Let p = j - 2. Determine p*u(k) - 2*n(k).
-2*k - 1
Let d(m) be the third derivative of m**3/6 + m**2. Suppose 0*w = -2*w + 6. Let t(u) = 2 + 0*u + w*u**2 + 0*u**2 - 5*u**2 + 2*u. Give 2*d(f) - t(f).
2*f**2 - 2*f
Let d(i) = -i**2 + i. Let l be (-2)/(-1) + (0 - -1). Let q(v) = -v**2 + 3*v - 1. Calculate l*d(j) - q(j).
-2*j**2 + 1
Let p(v) be the third derivative of -v**6/120 - v**5/10 + v**4/4 + 2*v**2. Let w(b) = 3*b + 1 - 1 + 8*b - 11*b**2 - 2*b**3. Give -11*p(u) + 6*w(u).
-u**3
Let x = 5 + 3. Let h = x - 5. Let b(q) = -14*q**2 + 8*q + 8. Suppose d + 2*n + n - 5 = 0, 5*d - 44 = 4*n. Let w(k) = 5*k**2 - 3*k - 3. Give d*w(u) + h*b(u).
-2*u**2
Let j be (-5)/(-15)*-1*3. Let l(m) = -2*m + 4. Let x(p) be the second derivative of -1/2*p**2 - 2*p + 1/6*p**3 + 0. Give j*l(n) - 3*x(n).
-n - 1
Let w(h) = -35*h**2 + 2. Let p(u) = 5181*u**2 - 297. Calculate -2*p(q) - 297*w(q).
33*q**2
Let v(x) = x**3 + x - 1. Let r = 25 + -7. Let y = r + -17. Let p(i) = -8*i**3 - 6*i + 8. Determine y*p(k) + 6*v(k).
-2*k**3 + 2
Let w(g) = -2*g**2 + 6*g - 4. Let b = -8 - -5. Let c be (b/(-2))/((-6)/(-20)). Let d(t) = -1 - 1 - t + 3. What is c*d(a) + w(a)?
-2*a**2 + a + 1
Let x(s) = -5*s**2 + 3. Let p(h) = 11*h**2 - 5. Give 3*p(f) + 5*x(f).
8*f**2
Suppose -4*c + 2*s + 3 = 21, -3*s = -4*c - 21. Let u(v) = -4*v. Suppose -26 = -0*o - 2*o. Let f = 18 - o. Let l(k) = -7*k. Determine c*l(m) + f*u(m).
m
Let d = -25 + 34. Let k(n) = -2*n**3 + 5*n**2 + 7*n + 9. Suppose 0 = -0*v - 3*v - 12. Let q(g) = -g**3 + 2*g**2 + 3*g + 4. What is d*q(t) + v*k(t)?
-t**3 - 2*t**2 - t
Let y be 7/(-4)*-1*4. Let l(g) = 8*g**3 + 5*g**2 + 6*g. Let z(m) = 9*m**3 + 6*m**2 + 7*m. Suppose -9*p - 11 - 43 = 0. What is p*z(t) + y*l(t)?
2*t**3 - t**2
Let t(m) = -1. Let p(u) = 9. Let a(o) = -p(o) - 5*t(o). Let l(c) = c - 5. Calculate 3*a(h) - 2*l(h).
-2*h - 2
Suppose 0*s + s - 5*u = 11, -s + 11 = -4*u. Let r(l) = 21*l**3 - 11*l**2 + 11*l. Let v(f) = 4*f + 2*f**2 - 5*f - f - 4*f**3. Give s*v(i) + 2*r(i).
-2*i**3
Let w(p) = 6*p + 3. Let k(j) = 5


. What is the least common multiple of 48 and s(-111)?
1920
Let i(j) = j**3 - 2*j**2 + 13*j - 46. Let o be i(3). Let q(w) = 6*w**2 - 9*w + 4. What is the least common multiple of 77 and q(o)?
770
Let k = 1996/111 + -52477/2812. What is the common denominator of k and (-388093)/981030 - 4/106?
1140
Suppose 3*n - 2 = 2*r, 0 = n - 0*n + 4. Let k(i) = 29*i**2 + i + 9. Let m be k(r). Let g = 27077/19 - m. Calculate the common denominator of -58/7 and g.
133
Let m be -4 + -2*1115/(-330). Let a = m + -317/462. Calculate the common denominator of -99/116 and a.
812
Let z(g) = 33*g**2 + 312*g + 12. What is the smallest common multiple of 11 and z(-10)?
2112
What is the common denominator of (64/(-160) - (-16)/90)*642/(-880) and 151/36?
1980
Let y be (2/(-3))/((-1)/(-27)). Find the common denominator of (y/(-16))/((-12)/112) and (2354/616)/((-2)/4).
14
Let h = -11288089/165 - -68413. Find the common denominator of h and -25/153.
8415
Let v = 42574 - 4214743/99. Find the common denominator of v and (-681)/(-1589) - 43/231.
99
Suppose -31 = -2*v - 3. Let s = 24 - 68. Let o = -24 - s. What is the least common multiple of v and o?
140
Let h(i) = 48*i + 305. Let d be h(6). Let q = 705 - d. Calculate the smallest common multiple of 34 and q.
1904
Let k(a) = -16720*a**2 - 2*a - 8. Let t be k(-2). Let y be (-2708)/t*90 - (1 + 2). Let s = -6/727 - y. What is the common denominator of s and -37/4?
92
Suppose -76 = -5*f + 3*j, 23*f + 2*j - 30 = 19*f. What is the lowest common multiple of f and 1033?
11363
What is the lowest common multiple of 148 and 83185/(-393)*(-28)/10 + 4/(-6)?
592
Let h(z) = -3*z - 4. Let m be h(-2). Suppose 4*b - 16 = 4*o, 4*o - 4 = -4*b + m*o. Find the common denominator of b/(-8)*1*(-259)/42 and 59/24.
24
Let d(i) = i**2 + 980*i + 14480. Suppose 32 = 4*f - 8. What is the lowest common multiple of d(-15) and f?
10
Suppose 4*j + 814 = 3*c, -5*c + 670 + 677 = 3*j. Calculate the lowest common multiple of c and 900.
2700
Let s = 13/2174 + -40371/6024154. Let z = 279847/33252 - s. Let v = -6712 - -187875/28. What is the common denominator of v and z?
84
Suppose 100*n - 59*n - 54*n = -547248. What is the least common multiple of n and 22?
463056
Let p(f) = -3983*f - 42. Let j be p(-3). Let h = j + -333481/28. Let a = 1925 - 7749/4. Find the common denominator of a and h.
28
Let r(i) = -i - 1. Let c be r(-1). Suppose 16 = 2*n - c. Suppose 3*x = 3*z + 27, 2*x + 2*z + 4 = 2. What is the lowest common multiple of n and x?
8
Let o be (-3 + 2)/(864/23700728). Let z = 27431 + o. What is the common denominator of z and -17/11?
1188
Let k = 1432 - 1051. Calculate the least common multiple of k and 6.
762
Calculate the common denominator of -2 - (2486/24)/11 and (-27 - -24) + (-23)/(-12).
12
Let j = -1705 + 2689. What is the lowest common multiple of 16 and j?
1968
Let x = -206/5 + 10063/240. Find the common denominator of x and (-1)/(-3)*16353/(-2528).
96
Let m = -27349/56589 + 9/7255. What is the common denominator of m and -117/100?
3900
Let v = -227/1980 + -9/220. Calculate the common denominator of v and 88/315.
315
Let b be (238/(-21))/((-2)/522). Let t = -23717/8 + b. Calculate the common denominator of 2/3 and t.
24
Suppose -3*x + 48 = i, 3*x + 35 - 122 = -2*i. Let k(a) = -a**3 + 21*a**2 + 23*a - 852. Calculate the least common multiple of i and k(20).
312
Let l = 1727341/8 + -216980. Let a = l - -1073. Calculate the common denominator of a and ((-38)/171)/(6/(-450)).
24
Let u be (8/(-28)*-892481)/61644. Let x = u + -2/9807. Calculate the common denominator of -46 and x.
22
Find the common denominator of 35/432 and 5 + (69/(-552))/((-54)/(-1958)).
432
Let s be 7 + -3 - (-474)/(-3). Let z = -102 - s. Let k = z + -41. Calculate the lowest common multiple of 12 and k.
132
Let i(x) = -x**3 + 35*x**2 + 73*x - 100. Calculate the smallest common multiple of 308 and i(36).
1232
Let n(o) = 6*o**2 + 10*o - 3. Let p be n(-5). Let q = 101 - p. Calculate the lowest common multiple of 12 and 3*4 + (-4)/8*q.
60
Let a = 1299/10556 - 6/377. Let v = -69/7 + a. Find the common denominator of v and -85/16.
16
Suppose -37*m - 8 = -39*m. Suppose 5 - 19 = -2*q. Calculate the smallest common multiple of q and (-1 - (m + -1))*(-10 + 2).
224
Let s = -366341/1581660 + 2/14645. Calculate the common denominator of s and 91/1062.
6372
Suppose 3*i + 0*a - 52 = a, 2*i - 42 = -3*a. Find the common denominator of i/(-9) - 101/(-8) and -45/8.
8
Let q be (12 + (-10)/(-5))/(-2 - -4). Suppose -q*p + 14*p - 350 = 0. What is the least common multiple of 45 and p?
450
Let s = 1023047/33 + -30999. Let g = -27851/33 + 844. Calculate the common denominator of s and g.
33
Let q = -1205/33 + 113/3. Let w = -24968 - -549297/22. Find the common denominator of q and w.
66
Let o be 0/(-2) + 1817090/(-160). Let l = -11363 - o. Calculate the common denominator of 13/300 and l.
1200
Let d = -727808 - -349347659/480. Calculate the common denominator of -73/192 and d.
960
Let r(h) = 13*h + 13. Suppose -9*i - 10 = -4*i, -3*i = p + 6. Calculate the least common multiple of 11 and r(p).
143
Let u be (-5)/2*11*2/11. What is the least common multiple of u/((-20)/(-28)) - -207 and 8?
200
Let o = -27 - -22. Calculate the least common multiple of 2 and 1 + o/6 + 5764/264.
22
Let c(r) = -r**3 - r + 1. Suppose i - 3*m + 132 = -3*i, i = 3*m - 42. Let w = -20 - i. What is the lowest common multiple of w and c(-2)?
110
Suppose -15 = -3*u, -5*q + 155 = -0*q - u. What is the smallest common multiple of q and 176?
352
Suppose 5*m - 12 = 3*m. Let a be 20/(-50)*(-102551)/m. Let x = 6833 - a. Calculate the common denominator of 46/9 and x.
45
Let v = 508 - -69957. Let y = v + -4298575/61. Let d = 4689/671 + y. What is the common denominator of d and 13/31?
341
Let a(d) = d**3 + 4*d + 8. Let t be a(0). Calculate the common denominator of 0 - (730/t)/(-5) and 67/160.
160
Let s(n) = 8*n**2 + n - 3. Let c be s(3). Suppose 0 = t - c + 67. Suppose -4*d - r = d - 25, 0 = 4*r - 20. What is the least common multiple of d and t?
20
Suppose -96 = -8*n - 16*n. Let t(h) = 7*h - 13. What is the lowest common multiple of t(15) and n?
92
Let i(n) = 603*n**2 - 41*n + 42. Suppose 15*x - 96 = 9*x. Calculate the lowest common multiple of i(1) and x.
2416
What is the common denominator of 3*8*12/(-9936)*113/(-4) and 17/40?
2760
Let o be -4 - (-138)/16256*649. Let c = 154/127 - o. Find the common denominator of c and 27/88.
704
Suppose -20 = 4*d, 4*d = 4*l + 69 - 265. Suppose -4*f + l = -136. Calculate the least common multiple of f and 10.
90
Find the common denominator of 163/3192 and 5 - ((-200508)/(-360))/77.
15960
What is the common denominator of ((-3)/(84/7))/(((-10)/29)/5) and 83/1744?
1744
Let h = 158 + -4. Let n = h + -80. Suppose -2*k - 4*z = -k, 0 = -k + 2*z + 30. What is the lowest common multiple of n and k?
740
Let c = -4629 - -4647. Calculate the lowest common multiple of c and 86.
774
Let u = -1 + 15. Let k = 956 + -947. Suppose u = k*d - 4. Calculate the smallest common multiple of d and 22.
22
Let d(a) = a**3 - 20*a**2 + 91*a + 7. Let p be d(7). Suppose -105 = -5*i + 4*t - p*t, -3*t - 3 = -i. Calculate the smallest common multiple of i and 147.
882
Suppose -4*r - 16128 = -16140. Calculate the smallest common multiple of r and 285.
285
Suppose 10*w + 283 = -2797. Calculate the common denominator of (w/(-5096))/(1 + 0/(-2)) and -67/18.
1638
Let n(z) = 160*z + 332. Calculate the lowest common multiple of n(-2) and 2232.
2232
Calculate the common denominator of -41/4 and ((-13005)/825282)/((-1)/3).
3596
Suppose -5*h = -2*h - 27. Let i(s) = 4*s**2 - 112*s + 77. Let u be i(27). Let w = h - u. What is the smallest common multiple of w and 2?
40
Suppose 539*f + 1840 = 543*f. What is the lowest common multiple of f and 276?
1380
Find the common denominator of -28/93 and 145/210*48/(-112)*7.
1302
Suppose -21*k = -15*k + 6*k - 3072. Calculate the lowest common multiple of k and 80.
1280
Let h be ((-8)/312)/(786/2347515). Let b = -996/13 - h. Find the common denominator of 121/10 and b.
1310
Suppose -2*q = 212 - 1134. Let w = 67624 - 67617. What is the lowest common multiple of q and w?
3227
Let r = 3 + -1. Let k(x) = -21*x - 22. Calculate the lowest common multiple of k(-16) and r.
314
What is the smallest common multiple of 240


divisor of 160 and m?
32
Let h(g) = -g + 5. Let m be h(0). Let k be -2 + 1 + -2 + m. Suppose 3*a + 0*a - 9 = 0. Calculate the highest common divisor of k and a.
1
Suppose 3*i - 29 = 106. Calculate the greatest common factor of i and 9.
9
Suppose 0 = 4*j - 10 - 2. Let m be (j/1)/1 - -105. Calculate the highest common factor of 27 and m.
27
Let g(i) = -11*i + 1. Let c be g(-4). Let v = -20 + c. What is the greatest common factor of 10 and v?
5
Let g = 27 + -15. What is the highest common factor of 3 and g?
3
Let z = -95 + 207. What is the greatest common factor of 14 and z?
14
Suppose 3 = 5*q + 18, 0 = 3*j - 5*q - 21. What is the highest common divisor of 10 and j?
2
Let z be (0 - -1)*60/24*6. Calculate the greatest common divisor of z and 120.
15
Let y(v) = v**2 - 9*v - 7. Suppose 2*l - 10 = -n, -3*n + 0*n - 4*l = -30. Let u be y(n). Let f be u/3*1 + 14. What is the greatest common factor of 165 and f?
15
Suppose -4*p + 5*u = -109, 2*p - 37 = -u - 0*u. Calculate the highest common divisor of 3 and p.
3
Let x(v) = -8*v**2 + 7*v**2 - 1 - 30*v**3 - 2*v + 0*v**2. Let m be x(-1). What is the greatest common factor of m and 5?
5
Let q = -2 - -18. Let c be -1 - 1/((-3)/18). Suppose -120 - 80 = -c*w. Calculate the highest common divisor of q and w.
8
Let z(k) = -k**3 + 8*k**2 - k - 4. Let x be z(5). Calculate the highest common factor of 6 and x.
6
Let k(l) = 3*l**2 - 8 + 11*l + l**2 - 5*l**2 + 0*l**2. Let p be k(10). What is the highest common divisor of 2 and p?
2
Let r be (216/10)/((-2)/(-15)). Let a(u) = -u**3 - 3*u**2 - u - 2. Suppose -4*z + 20 = -9*z. Let v be a(z). Calculate the greatest common factor of r and v.
18
Let h(u) = -7*u - 6. Let j be h(-3). Suppose -220 = -5*s + 3*s - 4*k, 4*s = -4*k + 460. Calculate the greatest common divisor of s and j.
15
Let g = 12 - 9. Let k(t) = t**3 - t**2 - t. Let d be k(g). What is the highest common factor of 3 and d?
3
Let h(b) = 3*b - 4. Let o(g) = -1. Let y(p) = -h(p) + o(p). Let a = 7 + -10. Let s be y(a). Calculate the highest common factor of 3 and s.
3
Let b = 2 - -18. What is the highest common factor of b and 50?
10
Let u = 46 + -26. Calculate the highest common divisor of u and 20.
20
Suppose 4*c = 2*c + 32. Let z = c + -12. Suppose -a + 5*a = 128. Calculate the highest common factor of a and z.
4
Let d(g) be the first derivative of -5*g**2/2 + g + 2. Let j be d(-3). Calculate the greatest common divisor of j and 2.
2
Let u(t) = 2*t**3 - 7*t**2 - 5. Let x(z) = -z**3 + 3*z**2 + 2. Let j(o) = -6*u(o) - 11*x(o). Let m be j(8). What is the highest common factor of m and 9?
9
Let t = -8 - -14. Let u be 4/(-6) + 82/t. Let b be (-26*1)/(4 + -6). Calculate the greatest common factor of u and b.
13
Let m = 42 - 18. Let h be 32 - (-1 + 2 - 5). What is the greatest common factor of h and m?
12
Let i be 12/(-108) + 325/9. Suppose -3*s + 21 = 2*z, 3*s + z = -4*z + 12. What is the highest common divisor of i and s?
9
Let o(j) = j + 6. Let k be o(-2). Calculate the highest common divisor of 8 and k.
4
Let p be 7/56*-2 - 770/(-8). What is the highest common factor of p and 24?
24
Suppose 5*r - 295 = -0. Let h = -4 + r. What is the highest common divisor of 5 and h?
5
Let m = 4 + -1. Suppose -b + m = -0. Let t = 8 - b. What is the greatest common divisor of 25 and t?
5
Suppose 5*n - 221 = 3*a + 118, 2*n = a + 135. What is the highest common factor of n and 6?
6
Let u be ((-6)/18)/((-1)/24). Suppose u*y - 11*y + 57 = 0. Calculate the highest common factor of y and 38.
19
Suppose 2*s = 3*s + 13. Let c(r) = -27*r + 4. Let k be c(-3). Let d = s + k. Calculate the highest common divisor of 9 and d.
9
Let o = -99 + 118. Calculate the highest common divisor of 38 and o.
19
Suppose 0 = -3*v - 3*r + 9, v + 2*v = 5*r + 33. Suppose a + 50 = v*a. What is the greatest common divisor of 80 and a?
10
Let m(p) = p**2 - 6*p + 20. Let d be m(11). Let y = -11 + 8. Let l be (y/(-3))/(1/d). Calculate the greatest common divisor of l and 25.
25
Let z be 47/3 - (-14)/(-21). Suppose -s + 71 = z. Calculate the greatest common divisor of s and 84.
28
Let k = -9 - -96. Let q(a) = -a**3 + 21*a**2 - 36*a - 9. Let l be q(19). What is the highest common divisor of l and k?
29
Let d be (-1 + 4)/(-3) + 345. Calculate the highest common divisor of 43 and d.
43
Suppose -2*i + 0 = -12. Calculate the highest common divisor of i and 9.
3
Suppose 0 = 3*h, 2*g + 4*h - 2*h = 42. Suppose 0 = -5*n + 11 + 4. Suppose n*f + f - 28 = 0. Calculate the greatest common divisor of g and f.
7
Suppose 3*z + 316 = 5*z - 4*x, 0 = -3*x - 9. Calculate the highest common divisor of 19 and z.
19
Let f = 98 + -65. What is the greatest common divisor of f and 11?
11
Suppose 2*p - 7*p + 4*y + 31 = 0, -2*p = 2*y + 2. Suppose -7 = -o - 2*h, -5*o + p*h + 35 = 4*h. Calculate the highest common factor of o and 77.
7
Let t(r) = r - 5. Let d = -11 + 4. Let u be t(d). Let c be (6/4)/(u/(-32)). Calculate the greatest common divisor of 8 and c.
4
Let q = 216 - 138. What is the highest common divisor of 13 and q?
13
Let h(v) = 16*v + 10. Let g be h(9). Calculate the greatest common factor of 28 and g.
14
Let f be 86/14 - (-1)/(-7). Let x = 15 - 8. Suppose -z = 2*y + 6, x*z = 2*z - 3*y + 5. What is the highest common divisor of f and z?
2
Let v = 26 - 24. Calculate the highest common factor of 3 and v.
1
Let t be 0 + 1 - (-176)/16. Calculate the highest common factor of 6 and t.
6
Suppose -3*o = -5*p, 4*p = 3*p - 4*o. Suppose p*i + 5*i - 65 = 0. What is the greatest common factor of i and 39?
13
Suppose 2*y - k - 2*k - 75 = 0, 5*k + 155 = 4*y. Suppose 4*d = 5*d - 5. Calculate the greatest common divisor of y and d.
5
Let j = 34 - -31. What is the highest common divisor of j and 13?
13
Let u(r) = 3*r + 17. Let z be u(-5). Suppose -b = 2*b - 9, 2*c - 82 = z*b. Calculate the greatest common factor of 11 and c.
11
Let n be 1 - -4 - 3/3. Suppose 2*j = 4*z - j - 34, -n*j = -4*z + 36. Calculate the greatest common divisor of 28 and z.
7
Let z = -6 - -19. Suppose t = -5*o + 22, 3*o = t + z - 3. Suppose -j + 0 = -o. What is the highest common factor of 28 and j?
4
Suppose -8*c = -141 - 51. What is the greatest common factor of c and 48?
24
Let b(c) = c**3 + 5*c**2 + c - 5. Let s be b(-4). Let p be (30/8)/(6/64). Let v = p - -16. Calculate the greatest common divisor of v and s.
7
Let h(s) = 5*s + 2. Let a be h(2). Let i(d) = 85*d**2 + d. Let x be i(-1). What is the highest common divisor of a and x?
12
Suppose 4*u + 5*d + 15 = 0, 5*d - 43 = 5*u + 32. Let y = u - -24. Calculate the greatest common factor of y and 35.
7
Let m = -4 + 7. Suppose 5*h + 4*j + 15 = 0, 2*j + 22 = m*h + 9. What is the highest common factor of 8 and h?
1
Suppose 2*n + 19 = 3*g, -2*g + 7 + 8 = n. What is the greatest common divisor of g and 77?
7
Let s be (-6)/(-21) - 52/(-14). Suppose -m + 18 = 5*d, -s*d = m - 2*d - 18. Let z = 5 - -85. Calculate the highest common divisor of m and z.
18
Let v(l) = 23*l - 7. Let d be v(-4). Let i = d + 143. Let o(r) = r**2. Let p be o(-2). Calculate the highest common divisor of i and p.
4
Let x(w) = w**2 + 16*w - 12. Let y(n) = 2*n**2 + 16*n - 11. Let f(p) = 3*x(p) - 2*y(p). Let m be f(10). What is the highest common factor of 115 and m?
23
Let v(j) = 15*j - 6 - 5*j - 3*j. Let b be v(6). Let f be 55/3 - 1/3. What is the highest common divisor of f and b?
18
Let v(m) = 2*m + 3. Let l be v(4). Suppose -n = 13 + 2. Let w be (-9)/n + 1146/15. Calculate the greatest common factor of l and w.
11
Let c(q) = 12*q**3 + 1. Let i be c(1). Suppose r + 3 = i. Let v be (-356)/(-18) + (-4)/(-18). What is the highest common divisor of r and v?
10
Suppose -4*d - 6 = -3*m, -3*m + 0*d + 5*d + 6 = 0. Let v be (-1)/m + 225/2. Calculate the highest common divisor of v and 16.
16
Suppose 39 - 147 = -3*y. What is the greatest common factor of 90 and y?
18
Suppose -3*p + 194 = 3*l + 2*p, 2*p + 61 = l. Let q(z) = z**3 + 8*z**2 + 6*z - 3. Let k be q(-5). What is the highest common divisor of k and l?
21
Let x be (1*-23)/((63/35)/(-9)). What is the highest common divisor of x and 23?
23
Suppose -3*f + 26 = -2*y, y + 4*y - 19 = -3*f. Suppose 4*i + 585 = 9*i. Let m = i - 61. Calculate the greatest common divisor of f and m.
8
Suppose 0 = 2*a - x - 0*x - 128, -4*x - 317 = -5*a. Calculate the greatest common divi


2, y, 4?
y
Let d = 217.01 - 218. Let p = 0.01 - d. Suppose 1 - 4 = 3*m, 3*j + 2*m = 1. What is the closest to j in -2, p, 1/5?
p
Let w = -75 + 53. Let n = 22.5 + w. Which is the closest to -2/3?  (a) n  (b) -0.5  (c) -0.2
b
Let b = 1.7 + 6.3. Let l = 8 + -19. Let n = b + l. What is the closest to 0 in n, -2/13, -0.2?
-2/13
Suppose -y + 1 = -2*y. Which is the nearest to y?  (a) -0.4  (b) 0.2  (c) 0.1
a
Let p = -6 + 4.1. Let k = p + 2. Suppose -6*w + w = -20. Which is the closest to k?  (a) -0.3  (b) -0.2  (c) w
b
Let v be (-4)/(-1)*(-6)/84. Which is the nearest to 3?  (a) -1/2  (b) v  (c) -3/2
b
Let q = -12 + 17. Let o = q - 5.1. Let t be ((-3)/14)/((-6)/8). Which is the closest to o?  (a) t  (b) 3/5  (c) 3/2
a
Let z be (-4)/(8/6) - 1. Suppose d + 2 = 1. Let y = 2 + -2. What is the nearest to d in z, -2/5, y?
-2/5
Let j = 3 - -2. Let d = j - 0. What is the closest to -2/3 in -1, d, -2?
-1
Let h = -0.47 - -0.47. Suppose -4*u + 4 = 4*g, -3*u + 2*g = -2*g + 25. What is the nearest to h in -1, u, -0.3?
-0.3
Let i = 14 + -15. Let p = -0.7 + -4.3. What is the closest to i in 0.2, p, 0.4?
0.2
Suppose 0 = 3*l + 2 - 5. Which is the nearest to -1?  (a) 1/3  (b) -1/3  (c) l
b
Let j = -32 - -31. Suppose 0 = 3*m + 2*m - 10. What is the closest to m in -3/2, -1/4, j?
-1/4
Let s = -1/28 - 13/28. Suppose -3 = 2*i - 9. What is the nearest to s in 0, -2, i?
0
Let d be 3 + 7/(28/8). Which is the nearest to -0.1?  (a) -2  (b) d  (c) -0.5
c
Let b = 9/34 + 4/17. Let r be (-4)/(-2) - (-45)/(-21). Let m = -9 - -5. What is the nearest to b in -4/3, r, m?
r
Let o be (-3 + 2 + -1)/2. Let a = -8 + 8. What is the closest to o in 0.1, a, 6/5?
a
Let v = -0.76 + -0.24. What is the nearest to -1/4 in -3/4, 3, v?
-3/4
Let o = 176 + -877/5. Which is the nearest to 0?  (a) o  (b) 0  (c) -3
b
Let g = 29 - 86/3. What is the closest to g in 1/3, -2, -1?
1/3
Let w = 1 - 1.1. Let i be ((-6)/16)/(1/(-4)). Which is the closest to w?  (a) i  (b) 5  (c) -0.5
c
Let c = 2.7 - -0.3. Let q = 43.9 + -49. Let m = -5 - q. What is the closest to m in 0.3, -5, c?
0.3
Let s = -53437/485 + 551/5. Let i = -307/776 + s. Let p = 0.02 + -3.02. Which is the nearest to 1/3?  (a) i  (b) p  (c) 1/2
c
Let m be 0/(4/4) + -7. Let v(s) = -2*s - 13. Let q be v(m). Let k = 2.8 + -3. Which is the nearest to -1?  (a) k  (b) 0.1  (c) q
a
Let r = 34.444 + -4.814. Let l = r + -30. Let p = l + -0.03. What is the nearest to -1 in p, -5, -0.2?
p
Let y be (2/12)/((-3)/4). Let h = 5.3 - 0.3. What is the closest to y in 4, -0.2, h?
-0.2
Let c = 10 - 9.9. Suppose -4*w = -l, 6*l - 2*l - 5*w + 33 = 0. Let p be (16/l)/((-14)/3). What is the closest to c in -1, p, 5?
p
Let f = -32 + 34.3. Let i = -1.8 + f. Let u = -2.4 + 2. Which is the closest to -2?  (a) i  (b) u  (c) -0.5
c
Let c = -903/5 - -180. What is the nearest to -1/3 in -2/7, c, 2?
-2/7
Let p = 208/7 + -30. Which is the closest to -0.2?  (a) p  (b) 0.5  (c) 2/3
a
Let r = 2/93 - 101/372. Let v = -5.7 - -2.7. What is the closest to -0.2 in -5, r, v?
r
Let n = -648/13 + 50. Let v(z) = z + 1. Let x be v(3). Let s be (-6)/x*(-2)/12. Which is the nearest to s?  (a) n  (b) 1/3  (c) -0.1
b
Let o = 5 + 21. Let t = o - 26.2. What is the closest to -0.1 in t, -3, -3/4?
t
Let y = -7/12 + 1/12. Let s(x) = -x + 4. Let j be s(7). Let i be -1 + 18/15*1. Which is the nearest to y?  (a) -0.1  (b) j  (c) i
a
Let f = 0 + 0.2. Let p be (264/32 - 7)*(-3)/5. What is the nearest to 0 in f, 0, p?
0
Let l = -0.5 - -0.4. Let d = 0.6 + -0.52. Let n = d - 0.18. Which is the closest to n?  (a) -4  (b) l  (c) 5
b
Let j = 8 + -12. Let m = j + 3.5. Let k = -0.12 - -0.32. What is the closest to k in -3, -0.2, m?
-0.2
Let f = 7 - 7.3. Which is the nearest to 1?  (a) 1/3  (b) 0.1  (c) f
a
Let y = 22/5 + -4. Which is the nearest to y?  (a) 0  (b) -1/8  (c) 4
a
Let x = -2.891 - 0.109. Which is the nearest to -6?  (a) x  (b) 2/3  (c) -0.4
a
Let c(a) = -200*a**3 - 2*a**2 + 1. Let v be c(-1). Let f = v + -3385/17. What is the closest to 0.1 in -0.3, f, -0.5?
f
Let g be 1 + 1 + -8 + 2. Let j = 6 + g. Suppose -j*v - 3*v - 25 = k, 16 = -4*v. Which is the closest to -1/3?  (a) -0.4  (b) k  (c) -1
a
Let s = -0.2 - 3.8. Let v = 0.047 + -1.047. Let t = -13 - -53/4. Which is the nearest to v?  (a) -0.5  (b) s  (c) t
a
Let o = 39 + -41. What is the nearest to 0.2 in -4, 5, o?
o
Let k = 23 - 22.9. What is the closest to k in 3/4, 5, 22?
3/4
Let w = 1685/11 + -153. Let m = -4213/15 + 281. What is the nearest to m in -1, -2/7, w?
w
Let i be 5/6*45/75. Let r be (-2)/(-7) + 2/42. What is the nearest to r in i, -4, 0.3?
0.3
Let s = 0.8 + -0.4. Let d = -65 - -66. Which is the closest to d?  (a) 0  (b) s  (c) 3
b
Suppose 4*z = 5*d - 3 + 8, -5*d - 5 = 4*z. What is the closest to -1/3 in 9, z, 1/8?
z
Let j = 38.86 + -39. What is the closest to -1/2 in 4/5, 4, j?
j
Let g = 1.1 + -1.5. Let u = g + 0. What is the nearest to 2/3 in -5, -1, u?
u
Let v = -0.05 - -3.05. Which is the closest to 2?  (a) 3/2  (b) 1/10  (c) v
a
Let p be ((-2)/(-3))/((-11)/3). Suppose -1 = 3*f + 2. What is the nearest to f in 4, p, 5?
p
Let x = 0.01 + -1.01. Let j = -31/3 + 32/3. Let v be 8/2 + 558/(-126). What is the nearest to j in v, -0.2, x?
-0.2
Let u = 16 - 18. Which is the nearest to 1?  (a) -3  (b) -0.02  (c) u
b
Let g = 14 + -13. Let c = 3 + -3.1. What is the closest to c in 1/3, g, -2/13?
-2/13
Let w = -17.8 + 17.5. Let z = -1/66 + -31/132. Which is the closest to -2/5?  (a) -2/7  (b) z  (c) w
c
Let n = -246/5 + 49. Which is the closest to -1?  (a) n  (b) -3/5  (c) 3
b
Let l be 4/1 - 14 - -3. Which is the closest to 0?  (a) -0.1  (b) l  (c) 0.4
a
Let d = 7 - 8. Let t = 0.3 + -0.4. Let o = 1.1 + t. Which is the closest to d?  (a) 0.1  (b) o  (c) 2
a
Let s = -24 + 35. Let y = 11 - s. Let d = -11 + 8. Which is the closest to y?  (a) 0.2  (b) -5  (c) d
a
Let w = -42 + 38.2. Let j = -0.2 + w. Let x be (-30)/(-20)*4/(-15). What is the nearest to x in -0.3, j, 0?
-0.3
Let o = 5 + -4.91. Let t = 2.09 - o. Which is the nearest to t?  (a) 5  (b) 1  (c) 2/11
b
Let m(y) = y**3 - 2*y - 5. Let j be m(0). Which is the closest to 2/9?  (a) 4  (b) 0  (c) j
b
Suppose 4*c + 0*g + 10 = -2*g, -4*c + 2 = -2*g. Suppose 0 = 2*l - l. Let i be l - 6/21*-1. What is the nearest to c in i, 5, -2?
-2
Let y = -13.01 - -13. Let q = y - 0.29. What is the closest to -1 in q, 0, 3?
q
Let u = -12 + 7. Let v = -8.5 - -8. Which is the closest to -2/7?  (a) u  (b) 1/4  (c) v
c
Let k be 0 - ((-16)/18)/(-4). Let d = -4/9 + k. Which is the nearest to d?  (a) 4  (b) -3/5  (c) 1/2
b
Let x = -13/4 + 37/12. What is the closest to -0.1 in 0.2, x, 0?
x
Suppose -3*u + 5*x = -0*u + 15, 5*x = 15. Let n = 0.14 - -0.96. Let c = n + -0.1. What is the closest to -0.1 in c, 0.2, u?
u
Let m = 49 + -199/4. Suppose 3*j - 4 = -j. Let r = 356/133 + -40/19. What is the closest to j in -1/3, m, r?
r
Let d = -3.91 - 0.09. Which is the nearest to 3?  (a) d  (b) 5  (c) -0.2
b
Let j = -31 + 51. Let v = j - 79/4. Which is the nearest to 1?  (a) -0.5  (b) v  (c) 0.3
c
Let r = 8 - 5. Let k be 3/12 + (-13)/(-12). What is the closest to -1/3 in r, k, -5?
k
Let z = 6.2 - 7. Let h = -1.8 - z. Which is the nearest to h?  (a) 0.2  (b) -1  (c) 6
b
Let l be (129/(-60) + 2)*(-5)/(-6). What is the closest to l in 3, -2, 1?
1
Let p be (-1 - 4)*104/(-90). Let f = p + -37/9. Which is the nearest to 1?  (a) f  (b) 3  (c) 0.3
a
Let q = -6.4 + 1.4. What is the closest to -2 in -4, -0.1, q?
-0.1
Let i = 0.034 - 7.634. Let y = 8 + i. What is the nearest to -1/2 in -2/9, y, -4/5?
-2/9
Suppose -f + 22 = 5*j, 5*j = f + 12 + 6. Let v be (15/20)/(3/f). What is the closest to 1/4 in v, -3, -0.02?
v
Let y = 0.27 - 0.67. Which is the closest to 2/7?  (a) 8  (b) 1/4  (c) y
b
Let o be -1 + 0 + (-2)/(-16). Let y be ((-2)/(-24))/((-4)/(-78)). Let m = y - o. Which is the nearest to 0.1?  (a) -1/2  (b) m  (c) -4
a
Let i = 3.4 - 2. Let u = i + -0.9. Let y = u - -0.5. Which is the nearest to y?  (a) 4  (b) 0.2  (c) -0.5
b
Let g = 706/11 + -64. Which is the nearest to -1.6?  (a) -2  (b) g  (c) -0.1
a
Let j = -0.2 - -0.6. Let q be 1/(-6) - (-3)/(-9). Let t = -17/6 - -7/3. Which is the nearest to t?  (a) j  (b) q  (c) -2
b
Let y = 7 + -7.4. Let g = 0.3 + y. What is the nearest to g in 4, -2/5, -0.5?
-2/5
Let w = -0.2 - -1.2. Let f = -6.7 - -7. Wh


 = -6*k, w = 4*u + 4*k for u.
2
Let w = 4597 + -4595. Solve 0 = -5*a - w*n + 3, -4*n = -1 + 5 for a.
1
Suppose 21*j = 51 + 75. Suppose t + j = 3*t. Solve -3*m + t*n = 0, n - 8 = m + 4*n for m.
-2
Let h(w) = -2*w**2 - 48*w - 25. Let o be h(-23). Suppose 78 = 5*m + o*m. Solve 4*s = 3*s - 2*r + 11, 6 = m*s - 3*r for s.
5
Suppose 51*o - 1053 = -4*o - 228. Solve -13*d - u = -o*d + 10, -4*d + u + 18 = 0 for d.
4
Let c = 619 + -591. Suppose -c = 17*f - 24*f. Solve f*g + 17 = -3, 29 = -2*t - 5*g for t.
-2
Let q(x) = 4*x**2 + 274*x - 550. Let y be q(2). Solve -y*b + 11*b = -i - 10, 3*i - 22 = -4*b for i.
2
Suppose -727*t = -722*t - 4*o - 159, -3*t + 95 = -2*o. Solve -3*v - 4*z + 3 = 0, v - 26*z + t*z = 12 for v.
-3
Let n(v) = -32*v - 87. Let p be n(-27). Let y = 779 - p. Solve y*j = -3*b + 4, -b = 3*b + j - 12 for b.
4
Suppose -6*s + 33*s = -39*s + 2178. Solve -3*t + y = -19, 2*y + s = -59*t + 64*t for t.
5
Let d be (-1 - 0)*-3 + -1. Suppose 2*p = -0*p - 116. Let y be p/145 + 2/(-5)*-16. Solve -d*w = a - y*a + 23, a - 2*w = 11 for a.
3
Let t = -279 + 281. Solve -2*r + 4*l + 6 = 0, -2 = -t*r + 2*l + 2 for r.
1
Suppose 0 = 29*q - 157 - 280 - 549. Solve q*t + 2*y + 25 = 29*t, -5*t + 3*y = 0 for t.
-3
Suppose 0*z - z = -2. Let t(q) = q**3 + 4*q**2 - 5*q + 2. Let d be t(z). Let l = d - 12. Solve -5*v - 11 = 2*j - l*j, 4*v + 22 = -5*j for v.
-3
Suppose -3*r = -5*v + 30, 7*v + 2 = 6*v - r. Let d(n) = 4*n**2 + 2*n - 1. Let h be d(2). Let z = h + -14. Solve z*u = 20, 0 = 2*c - 0*c + v*u - 6 for c.
-3
Let g be ((-60)/9)/(1/(-3)*2). Suppose -5*p = -g*p + 20. Solve 0 = p*a - 2*n + 4, a + 0*a = -2*n + 4 for a.
0
Let s = -155 - -158. Suppose 0 = -s*m - 17 + 29. Solve -5*v = -3*q - 2 + 5, 0 = -4*q - v + m for q.
1
Let d = 40 - 41. Let x = d + 27. Let c be (-4)/x - (-84)/39. Solve 0 = -t - c*j + 5, 17 = t + 4*j + j for t.
-3
Let p = 3971 + -3955. Solve -8*j = -12*j - 2*w + p, 2*j + 2*w = 6 for j.
5
Suppose 2*s + 3*c - 6 = 19, -4*c = 5*s - 45. Let m be 21*(6 + -1 - 165/35). Solve l - s*f - 20 = m, 2*f = l - 11 for l.
1
Let s be 2 + (0 - -1)*-2. Suppose 4*l + 224 - 248 = -3*x, -5*l - 1 = -4*x. Solve -5 - 1 = -2*p - 4*n, s = -p - n + x for p.
5
Suppose -3*w + 5*x = -61, 1 + 3 = 4*x. Suppose -w*c + 16*c + 30 = 0. Suppose -4 = -h + c*n, 4*n = 3*h - 10 - 2. Solve 0 = -3*l + 3*v - 6, h*l + 5*v = v for l.
-1
Suppose -14 + 73 = 4*i + 3*y, 2*i + 2*y = 32. Solve -t - 1 = -q, -q - t + i = 3*t for q.
3
Let b = -10284 - -10286. Solve -2 = 3*f + b*u, 0 = 20*f - 24*f - 3*u - 2 for f.
-2
Suppose 0 = 13*m - 14*m, v - 348 = 5*m + 48. Solve 2*t + 4 = 0, v*g = 395*g + t - 3 for g.
-5
Suppose 0 = -n + 3*i + 14, -2*n + 10 = 4*i + 12. Solve -n*j = -5*r - 9*j - 17, -5*j = 2*r + 17 for r.
-1
Suppose -10 = -2*w - 3*n, 16 + 0 = 3*w + 4*n. Let m = 12 - w. Solve 5*u = -m*t + 9, 0 = -3*u - t - 0*t + 4 for u.
1
Suppose -127*h + 305 + 98 - 22 = 0. Solve -5*f = 15, 7*i - 9*i = -h*f - 19 for i.
5
Suppose -7 = g + 3*i, 5*g = -0*i - i + 7. Let v be (-5)/10*((-36)/(-6) - 6). Suppose 8*z - 19 - 13 = v. Solve g = -o - o + k, 4*k - z = 4*o for o.
-1
Let c(g) = g**3 - 3*g + 20 - 10*g**2 + 7*g + g + 3*g. Let m be c(9). Suppose -90 = i - m*i. Solve 3*a = -0*j + 3*j + 12, 2*j + i = 3*a for j.
-3
Let o = -20 - -23. Suppose -o*n + h + 30 = -2*h, -4*h - 5 = 3*n. Let u be ((-32)/20)/(-4)*n. Solve 2*y - 4*m = -4, u*m = -y - 2*m + 16 for y.
4
Let j be (2 - 0 - (-2)/1) + 31. Let i = j - 28. Suppose -x = i*x. Solve 2*q = -3*a + 3, -4*a - 2*q + 6 = -x for a.
3
Suppose -203 = -28*s + 21*s. Suppose 0 = -s*g + 47*g - 90. Solve 0 = -5*v - g*x - 25, -2 = 4*v - x + 8 for v.
-3
Let w(b) = b**2 - 10*b + 24. Let g be 5 + -4*(-25)/20. Let q be w(g). Solve 0*y + 3*y = 3*r - q, -y - 14 = -3*r for r.
3
Let c(l) = -2*l**3 + 2*l**2 - l + 1. Let b be c(3). Let w = 246 - 231. Let v be (-9)/w + 5/((-25)/b). Solve 4*m + v = 5*i + m, -2*m = -i + 7 for i.
-1
Suppose -172*w = 185*w - 1071. Solve 2*o = -3*z + 18, -w*o - 29 = -5*z - 6*o for z.
4
Let i = 1072 + -748. Let k = i + -323. Solve 2*b = -3*z + 5, -4*b = 3*z + 6 - k for z.
5
Let h = -56 + 103. Let n be 3/6*6 + h. Let g be ((-36)/(-15))/(15/n). Solve 0 = -0*t + 3*t - 4*q + g, -10 = 2*t - 5*q for t.
0
Let j(w) = w**2 + 16*w - 416. Let h be j(14). Solve u + 5*x = -30, -5*x - 30 = h*u - 3*x for u.
-5
Let a = 32 - 23. Suppose a - 25 = -v. Suppose 2 = -5*j + 4*w + 31, 4*j - v = 5*w. Solve c - j = -3*m + 7*m, 3*m - 3 = 4*c for c.
-3
Suppose 2*l = -2*d + 4*d + 8, -d = -4. Let z be (-10)/l*(-7 + 3). Solve 2*k = k - 4, -2*m - 16 = z*k for m.
2
Suppose 3*y - 21 = 0, p - 9*y + 10*y = 10. Solve -4*x - 6 - 13 = -p*n, 5*x = 5*n - 25 for x.
-4
Let v = -5 - -9. Suppose -151 - 108 = -53*g + 16*g. Let u = -1 - -1. Solve 5*d = j + g, u = -v*j - d + 2*d - 9 for j.
-2
Let c be 27/(-81) + (-1130)/3. Let x = c - -402. Solve 0*u = u + 5*b - 21, -b = -5*u - x for u.
-4
Let j(c) = -159*c + 4298. Let v be j(27). Solve 0 = q + 2*h, -v*q - 17*h - 14 = -21*h for q.
-2
Let l = 2 + -2. Suppose l = -8*y + 126 - 78. Solve m = -2, 0*z + y = -3*z - 3*m for z.
0
Let s(m) = -9*m + 43. Let j be s(4). Let h(p) = -p**2 + 20*p - 86. Let n be h(j). Solve -14 = -n*a + 4*x, 2*x = -4*a - 2*x + 4 for a.
2
Suppose 0 = 130*v - 252 - 43 + 35. Solve 2 = j - 2, 0 = v*f - j - 6 for f.
5
Let s(i) = -6*i + 2. Let n be s(2). Let a be 18/(-4)*296/(-444). Let l be a + 54/30 + (-2)/n. Solve g = -3*k, 0 = 2*k - g - 0*g - l for k.
1
Let c = -107 + 107. Suppose 3*i + 4*b - 32 = 0, c = -i + 4*b + 7 + 9. Suppose -21 = -i*y + 5*y. Solve 4*d = 3*h - 3, -5*d = y*h + h + 27 for h.
-3
Let q(a) = -28*a - 1257. Let b be q(-45). Solve b*u - 1 = -2*z, -7*z + 12 = -2*u - 2*z for u.
-1
Suppose -5*h + 62 = -2*c, 308 = -5*h + 6*c + 394. Solve 2*a + 1 = 3*u, -a - 6 = h*u - 6*u for u.
-1
Let z(i) = i**3 - 19*i**2 + 50*i - 1. Let j be z(13). Let q = j + 365. Solve -y = 5*o - q*o - 18, -2 = y for o.
4
Let g(c) = 66*c - 989. Let s be g(15). Solve 4 = 2*f - 3*u, -5*f - u + s - 8 = 0 for f.
-1
Let v(m) = -446*m - 3114. Let s be v(-7). Solve -5 = 3*r - 2*i, s*r - 4*r - 4*i = -12 for r.
1
Let j = 20828 + -20828. Let m = 32 - 19. Solve 5*s = -4*v, j = -v - s + 3*s - m for v.
-5
Let g(j) = 148*j - 1754. Let y be g(12). Solve 5*x - y + 14 = -k, 0 = -5*x + 3*k - 4 for x.
1
Suppose -72 = 119*v - 128*v. Solve -5*p = 3*w + 1, 4*w - 2*w + v = 4*p for p.
1
Suppose 4*m = -4*x + 3*m - 6, -3 = -5*x + 4*m. Let s be 4/(x/(-1)) + -2. Let h = 7 + -5. Solve 9 - s = 3*z + h*f, -10 = -3*z + f for z.
3
Let a = 99 + -94. Suppose -16*c = -a*c. Suppose 5*n = 2*m + m + 29, c = -4*n - 5*m + 1. Solve 4*p + 36 = -n*v, -v - 4*p - p = 25 for v.
-5
Let t be (-1 + (-23)/3)/((-2)/72). Suppose 0 = 2*v + 6*v + t. Let k be ((-3)/1 - v/15)*-10. Solve k*b + n - 15 = -4, -5*b - n = -13 for b.
2
Suppose 14*d + 239 - 332 = -17*d. Solve -5*r + 4*r = 4, 2*f - 6 = d*r for f.
-3
Suppose 5*l - 5*o - 1 + 6 = 0, -2*o = -5*l - 2. Suppose l = -6*m - 18 - 618. Let w = -104 - m. Solve k + 3*s - 5*s = -6, -4*k - 4 = w*s for k.
-2
Suppose -7*m + 269 = -25. Let z = m + -37. Solve -3*h + 2*h - 3*l - 1 = 0, 9 = 2*h - z*l for h.
2
Let b be 3*4/12*8. Let p be ((-12)/b)/((-3)/8). Solve 0 = -p*a - d - 1, 5*a + 3*d + 1 = -9 for a.
1
Suppose 0 = 5*h + 5*i + 180, 2*h = -h + 2*i - 83. Let a = -27 - h. Solve -c - 6*o + 7*o = 0, 3*c - 21 = -a*o for c.
3
Let j(h) = -h**3 + 39*h**2 + 2*h + 6. Let q be j(39). Suppose 2*v = 23*v - q. Solve b - 3 = v*y + 10, -5*b - y = 19 for b.
-3
Let p(g) = g**3 - 9*g**2 - 26*g - 3. Let u be p(-2). Solve 11*d - 23 = 6*d - 2*b, d - 2*b = -u for d.
3
Suppose 91 = 2*y - q, -72*y - q = -73*y + 46. Solve 0 = 5*m + 3*s + y, -5*m - 24*s + 29*s = 5 for m.
-6
Let y(s) = -52*s + 26. Let m be y(14). Let c = 707 + m. Solve c*o - 5 = -5*i + 15, 12 = 4*i for o.
1
Suppose -5*l = 2*r - 135, 0 = -0*r + 2*r + l - 115. Let q be (-1 - -6)*22/r. Solve 0 = -5*v + 5, -4*v = q*z - 5*z + 2 for z.
2
Let h be (248/8)/((-7)/98). Let j = h - -448. Solve -i = -5*y - 17, -4*y + 2*y - j = -4*i for y.
-3
Let h = 70 + -66. Suppose -3*x - 4*a + 149 = 0, 5*a + 164 - 17 = h*x. Let o = x - 41. Solve 9*m = 4*m + o*q + 10, 0 = -2*m + 4*q - 12 for m.
4
Let n be 3/5 - ((-128)/20 + 5). Suppose 0 = 2*i, d - 5*i = -n*d + 9. Suppose -6 = d*m - 81. Solve 2*v = 3*v + 2*r + 9, 5*v - m = 4*r for v.
1
Let s(g) = g**3 + 146*g**2 + 840*g + 11. Let b be


**3 + 0*t**3)*(3118*t - 1346*t - 7908*t).
12272*t**4
Expand (-2*b**3 + 4*b - 4*b)*(1 - b**2 - 1) - 4*b**5 + 4*b**5 - b**5 + (-3 - 3*b**2 + 3)*(5 + 4*b**3 - 5) + 3*b**5 - 4*b**5 + 3*b**5.
-9*b**5
Expand (-2 + 4 - 1)*(-3*k**3 + 5*k**3 + 0*k**3) - 1955*k**3 + 1862*k**3 + 10410*k**3.
10319*k**3
Expand (-38*h**3 + 2*h**3 + 60*h**3)*((-h + 3 - 3)*(-4*h + h + h) + 10*h**2 + 80*h - 80*h).
288*h**5
Expand (33*a**3 + 0*a + 0*a)*(-2*a**2 + a**2 - 2*a**2) - 6*a**5 + a**5 + 3*a**5 + 8*a**5 + 2*a**5 - 2*a**5.
-93*a**5
Expand i + 5*i**3 - i + (-84*i**2 - 42*i**2 + 21*i**2)*(2 - 2 - 4*i) + (-3*i - 2*i + 4*i)*(i - i**2 + 4*i**2 - i**2) - 2*i**3 - 3*i + 3*i.
421*i**3 - i**2
Expand (692 - 1376 + 690 - 4*v)*(-4*v**2 + 4*v**2 + 16*v**4).
-64*v**5 + 96*v**4
Expand -19*m**5 - 10*m**5 + 9*m**5 + 2*m**5 + 0*m + 0*m + (2*m**2 + 4*m - 4*m)*(2*m**2 - 2*m**2 + 2*m**3) + m**5 - 3*m**5 + 0*m**5.
-16*m**5
Expand y**2 + 2*y**2 + y**2 + (0*y - y + 0*y)*(765*y - 7453 + 7453).
-761*y**2
Expand (k**2 + 0*k**2 - 2*k**2)*(2 + 4 - 2)*(-1 - 4 + 1)*(-k - 7*k + 2*k)*(-1 + 2 + 0).
-96*k**3
Expand -z + 5*z**5 + z + (-z**2 - 3*z**2 + 3*z**2)*(-2*z**3 + 0*z**2 + 0*z**2) - 23*z**5 - 42 + 9*z**5 + 26.
-7*z**5 - 16
Expand (-423*x**2 - 828*x**2 - 2513*x**2)*(0*x - 2*x + 4*x).
-7528*x**3
Expand (-63 + 56 - 98)*(-5 + 4 - 4)*(-h**4 - 4*h + 4*h).
-525*h**4
Expand (-2*c + 21*c**4 - 7 + 21*c**4 - 41*c**4)*(36*c - 245*c + 0*c).
-209*c**5 + 418*c**2 + 1463*c
Expand q - q - 3*q**2 + (q**2 - q**2 + 4*q**2)*(1 - 3 + 3) + 5*q**2 - 6*q**2 - 6*q**2 + (-8*q - 4*q + 4*q)*(0*q + q - 3*q).
10*q**2
Expand l - l + 3*l**5 + (3*l**4 - 3*l**4 + l**5)*(-14 + 7 + 9 + (-3 + 0 + 2)*(7 - 1 + 25)).
-26*l**5
Expand (5*g + g - 2*g)*(-1282*g + 2558*g - 1271*g - 5).
20*g**2 - 20*g
Expand -6*z**2 + 4*z**2 + z**2 + (-4 - 1 + 7)*(-4*z**2 + 2*z**2 + z**2) + 2*z**2 + 3*z**2 - 4*z**2 + (-17 - 12 - 2*z + 6)*(4 - 5*z + 3*z + 14*z).
-26*z**2 - 284*z - 92
Expand (2*r - 5*r + 2*r)*(-4 + 4 - 2*r) - 2*r**2 + r**2 + 3*r**2 - 11*r - 212*r**2 - 9*r + 20*r - 300*r**2 - 799*r**2.
-1307*r**2
Expand 12*z**2 + 8*z**2 + 12*z**2 + (1 - 2*z - 1)*(0*z + 2*z - 4*z) + 3*z - z**2 - 3*z - 26*z**2 - 451*z + 451*z.
9*z**2
Expand (-254 - 3889 + 6851)*(-2*d**3 + 3*d**3 + 0*d**3).
2708*d**3
Expand -h**2 + 27488*h**3 - 44*h**4 + 114*h**4 - 1 - 27489*h**3 + (2 - 2 + h**2)*(-10 + 10 - 7*h**2).
63*h**4 - h**3 - h**2 - 1
Expand 6*l**4 + 5*l**4 + 3 - 4 + (-4*l**3 + 9*l**3 + 2 - 1)*(1 - 4 + 5)*(-3*l - l - 5*l).
-79*l**4 - 18*l - 1
Expand (-n + 3*n - n)*(2*n**3 - 4 + 4)*(2753*n - 6524*n + 3297*n).
-948*n**5
Expand (2935 + 1127 - 108 + (3 - 4 + 0)*(-1 + 0 + 2))*(3*u - u - 4*u)*(2*u - 3*u**2 - 2*u).
23718*u**3
Expand 4 - 4 - 8*b + ((-1 + 2 - 2)*(7 + 3 - 1) + (-1 + 4 - 4)*(-1 - 2 + 2))*(b + b + 0*b)*(3 + 0 - 6).
40*b
Expand (-897 + 225 - 799 - 285)*((-x**2 + 0*x**2 + 0*x**2)*(x**2 - 3*x**2 + 0*x**2) + 4*x**4 + x**4 - 3*x**4 - 3*x**4 + 0*x**2 + 0*x**2).
-1756*x**4
Expand (-1 - 5 + 5)*(2*q + 0*q + 0*q)*(-602 + 509 - 895).
1976*q
Expand (f - 1 + 1)*(1 - 1 + 5*f**4) + 189*f**2 - 2050*f**3 + 2050*f**3 - 2*f**5.
3*f**5 + 189*f**2
Expand (2 + 1 - 2)*(4 - 4 - 2*u - 2*u + 0 + 0 + u - 3 + 3 + (-2*u + u - u)*(-1 + 2 - 2))*(-280*u - 292*u + 83*u).
489*u**2
Expand -2*i**2 + 4*i - 4*i + 5*i**2 - i**2 + 7*i**2 + (2*i**2 - 8*i + 8*i)*(2 + 0 + 0) + 2 + 2*i**2 - 2.
15*i**2
Expand 17*a**5 - 7*a**5 - 4*a**5 + 23*a**5 - 25*a + 25*a + (a**2 - 3*a**2 + 3*a**2)*(-8*a + 13*a**3 + 8*a).
42*a**5
Expand -4*x**4 + 5*x**4 + 2*x**4 + (-x**3 + x**3 + 2*x**3)*(x + 3*x - 5*x) + (-225*x**2 + 20100*x - 20100*x)*(0*x**2 - 2*x**2 + 0*x**2) - 2*x**4 + x**3 - x**3.
449*x**4
Expand (-4*n + 0*n + 2*n)*(-6336*n**2 + 369*n**2 - 3153*n**2).
18240*n**3
Expand (0*g**2 + g**5 + 0*g**2)*(-3 + 4 - 2) + 1419622*g**4 - 2*g**5 - 2777 - 1419622*g**4.
-3*g**5 - 2777
Expand (-3 + 1 + 6)*(-108 + 108 + 15*v**3)*(18 + 13 - 17).
840*v**3
Expand -3*u + 5*u - 4*u + 6*u + 7*u - 22*u - 2*u - 3 + 3 + (-2 + 1 + 0)*(2*u + 3*u - 7*u) + 3 - 3 + u + 186*u - 95*u - 123*u.
-42*u
Expand -k + 2 - 5*k + 9*k + 0*k - k + 0*k + (3 - 2 + 0)*(2*k + 0 + 0) + 1 - k - 1 + 4*k - 3*k + 0*k + 2*k + 3*k - 3*k + (-4*k + 3*k + 3*k)*(49 - 22 + 10).
80*k + 2
Expand (-93 + 19*v + 93)*(-2 + 5 - 1)*(-3 + 0 + 1)*(8 + 5 - 4).
-684*v
Expand (4 + 33 + 1)*(-72*z - 36*z + 17*z).
-3458*z
Expand (1 + o**2 - 1 + (2 + 2*o - 2)*(-2*o - 4*o + 5*o) + 0*o**2 - o**2 - o**2 + (-o - 3*o + 3*o)*(3*o - 3*o + 11*o) - 2*o**2 - 1 + 1)*(7 - o**3 - 7).
16*o**5
Expand g**3 - 1379*g**5 + 187*g**5 - 1583*g**5 + (-6*g + g + 3*g)*(-g**4 - 3*g**4 - 5*g**4).
-2757*g**5 + g**3
Expand 0 + 0 - 6*j - 8*j + 2*j - 7*j + (1 + 3 - 2)*(-3*j + 2*j + 0*j) - 216*j + 47*j + 96*j.
-94*j
Expand (64*q**4 + 41*q**2 - 185*q**2 + 113*q**2)*(-2*q + 2*q + 2*q).
128*q**5 - 62*q**3
Expand (-5 - 3*a + 5)*(42 + 30 - 72 - 233*a)*(0*a + 0*a + a).
699*a**3
Expand (b + b + 4 - 2)*(655*b**3 + 2290*b**3 + 210*b**3 + 654*b**3).
7618*b**4 + 7618*b**3
Expand (-3 - 78*p + 1 + 85*p)*(0 - 7 - 2)*(-1 + 0 - 26)*(-1 + 4 - 1)*(-3*p**3 + 4*p**3 - 2*p**3).
-3402*p**4 + 972*p**3
Expand (-7361 - 1152*o + 7361)*(o**2 + o**2 + 0 - 2).
-2304*o**3 + 2304*o
Expand (1 - z - 1)*(-636 - 734 + 3114) + (-1 - z + 1)*(2 - 1 + 0).
-1745*z
Expand (-3*f + 4*f + 0*f)*(-9*f - 36*f - 2*f) + 0*f - 3*f**2 + 0*f - 4*f + 4*f - 8*f**2.
-58*f**2
Expand (-3*m**3 + 3*m**3 + 2*m**3)*(-m - 2*m**2 + m) + (136*m**2 + 18516 - 18516)*(-6*m**3 - m + 6*m**3 + m**3).
132*m**5 - 136*m**3
Expand (4 - 4 + 3*w)*(3*w + 11 - 11)*(249*w + 217*w + 284*w).
6750*w**3
Expand (-q**2 + 5*q**2 + 0*q**2)*(-7 - 509*q - 1936*q - 6 - 7 + 23).
-9780*q**3 + 12*q**2
Expand (76*c - 41*c + 27*c)*(-24*c - 19647 + 19647).
-1488*c**2
Expand -2*r**2 + 829 - 361 - 316 + (-2*r + 2*r + 2*r)*(1 + 2 + 0)*(-r - 3 + 3).
-8*r**2 + 152
Expand (-3*u + 0*u + 4*u)*((u**4 - 2*u**3 + 2*u**3)*(1 - 1 - 1) + 81*u**4 - 163*u**4 - 60*u**4).
-143*u**5
Expand (296*o - 292*o - 6 + 0)*(o**2 - 2*o**2 + 2*o**2 + (-o - 3*o + 6*o)*(-o + 2*o - 4*o) + 6*o**2 - 9*o**2 - 7*o**2).
-60*o**3 + 90*o**2
Expand (-5 + 2 + 1)*(-196 + 65 + 4*s + 14).
-8*s + 234
Expand 44886 - 713*g - 22440 - 22446 + (4 - 3 + 0)*(3*g + g - 2*g).
-711*g
Expand 3*d**3 - 6*d**3 + d**3 + (-2 + 2 + 2)*(-2193 + 1131 + 1129)*(5 - 2 - 1)*(0 - 4 + 3)*(-2*d**3 - d + d).
534*d**3
Expand (14*l**3 - 12*l + 12*l)*(-247*l**2 + 52 - 21 - 31).
-3458*l**5
Expand (-4 + 3 + 438507*l - 434477*l)*(l**2 + 0*l**2 + l**2).
8060*l**3 - 2*l**2
Expand (2*u - 3*u - 1 - u + (0 - 4 + 3)*(-8*u - 3*u + 2*u))*(-30*u - 23*u + 51*u - 43).
-14*u**2 - 299*u + 43
Expand -26*z**3 + 28*z**3 + 58*z**3 + (-8 + 7 - 7)*(4*z - 4*z - 2*z**3).
76*z**3
Expand 2*n**2 + n**2 - 2*n**2 + 47272 - 47272 - 425*n**2 + (n - n + n)*(9 + 3 - 5)*(-n - 2*n + 0*n).
-445*n**2
Expand (145*w - 1740 + 1740 - 2*w - 4*w + 4*w + (0 + 0 + 2)*(-6*w + 2*w + 2*w))*(-4*w + 0*w + 2*w).
-278*w**2
Expand -32*k**2 + 44*k**2 + 54*k**2 + (-4*k + 11 - 11)*(0 - 2*k + 0) - k**2 + k - k.
73*k**2
Expand (2*x - 4 + 4)*(7 - 22 - 20)*(-2*x + 2*x - 8*x).
560*x**2
Expand (-454 - 97373*t**2 + 194724*t**2 - 97371*t**2)*(2*t**3 + 2*t**2 - 2*t**2).
-40*t**5 - 908*t**3
Expand (10*d**3 - d**3 + d**3)*((2 + 0 - 1)*(-3 + 4 - 3) + (5 - 1 + 5)*(1 - 6 + 3)*(0 - 1 + 3)) - d**3 + 2*d**3 - 4*d**3.
-383*d**3
Expand (-6*o + 0*o - o)*(-3*o + 7*o - 2*o - 545 + 545 + 778*o + (2*o + o - o)*(-5 + 5 - 1) - 3*o - 3*o + 4*o + 3*o - 5*o + 3*o - 3*o + 4*o - 2*o).
-5432*o**2
Expand (0*s**3 - 2*s**3 + 6*s**3)*(1412 + 2130*s - 737 - 675)*(0 + 0 - 1).
-8520*s**4
Expand i**3 + 0*i + 0*i + (-2 + 6 - 3 + 3*i**2)*(-3*i + 3*i - i + (-3 + 1 + 0)*(20*i + 21*i - 9*i)).
-194*i**3 - 65*i
Expand -467*u**2 - 926*u**2 + 473*u**2 + (5*u - u - 6*u)*(0*u - 3*u + 2*u) + 0 + u**2 + 0.
-917*u**2
Expand -1 + 1 + w**4 + (2 - 2 - 3*w**2)*(-w**2 - 3 + 3) + 1260*w**4 - 4585832*w**2 + 4585832*w**2.
1264*w**4
Expand (6 - 4 - 1)*(y - 2*y - y)*(y - 4*y + y)*(-147*y**2 + 745*y**2 + 2322*y**2).
11680*y**4
Expand -15*s + 261*s - 31*s - 6 + (4 + 2*s - 4)*(1 - 3 + 5).
221*s - 6
Expand (0*p + 0*p - p**2)*(-87 - 96 + 140)*(48 + 12*p - 48).
516*p**3
Expand (0 + 0 + 1)*((1 - 4 + 2)*(-5*z - 6*z + 4*z) + (3 - 2*z - 3)*(-61 + 29 - 36)).
143*z
Expand (0*w - 7*w + 0*w)*(50 - 22 + 105).
-931*w
Expand -17*x**2 - 10*x**2 + 5*x**2 + 4 + 4 + 14*x**2 - 15*x**2 + (-3 + 4 - 2)*(2*x**2 + 3*x - 3*x).
-25*x**2 + 8
Expan


 = 43 - 13. Let o = 137 + -67. Suppose 2*m - 565 = -3*y - o, -y - 1195 = -5*m. Calculate the highest common factor of m and h.
30
Let s = -557 + 825. Calculate the greatest common divisor of 335 and s.
67
Let f = -228 - -294. Calculate the greatest common divisor of f and 110.
22
Let o = -27 + 30. Suppose 0 = l + o, 3*y = y - 5*l + 77. Let x = y - 27. Calculate the highest common factor of x and 209.
19
Suppose 17*q + 4 = 19*q. Let z = 1 - 1. Suppose b - 5*o + 3 + z = 0, -30 = -2*b - q*o. What is the greatest common divisor of b and 132?
12
Suppose 4 = -5*w - 4*u - 0, -4*w + 1 = -u. Suppose 5*k + n - 53 = -w*k, -k = 3*n - 5. What is the greatest common factor of 44 and k?
11
Suppose -3*u + 2 = -2*u, -i - 2*u = -224. Let a = 86 + -42. What is the highest common divisor of a and i?
44
Let d(z) = z**3 + 9*z**2 + 8*z + 14. Let v be d(-7). What is the highest common factor of v and 8?
8
Let q(f) = 7*f**2 + 56*f - 279. Let g be q(7). Calculate the highest common factor of g and 19.
19
Let b = 7 - -8. Let x be 88/220 - 2/5. Let c = b - x. What is the highest common divisor of c and 10?
5
Suppose 4*g - w - 28 = 357, g - w - 100 = 0. Suppose -3*d = 3*p + 93 - 330, -3*p + 240 = 4*d. What is the highest common divisor of g and p?
19
Let t = -5 + 23. Let p be (-4)/t + 38/9. Calculate the greatest common factor of 16 and p.
4
Suppose 8550 = -12*v + 87*v. Calculate the highest common factor of v and 3306.
114
Suppose 5*h - 126 = i, -19 = -h + 2*i - 1. Let f(a) = 88*a - 8. Let b be f(6). Suppose b = d + d. What is the highest common divisor of d and h?
26
Let h be ((-30)/(-4))/(24/624). Suppose h = 2*g + 3*g. Calculate the greatest common factor of 26 and g.
13
Let q = -2798 + 3203. What is the highest common divisor of q and 75?
15
Let o(y) = -2*y - 2. Let k be o(2). Let x = k - -2. Let s be ((-252)/x)/(1 + 0). What is the greatest common factor of 9 and s?
9
Let r(p) = -p**3 + 7*p**2 + 2*p + 18. Let g be r(7). What is the highest common divisor of 992 and g?
32
Let r = -27 + 29. Suppose -l + r*y = -40, 2*y = 2*l - 42 - 40. What is the highest common divisor of 21 and l?
21
Let s(b) = -18*b - 5*b**3 - 48 - 23*b**2 + 5*b**3 - b + b**3. Let y be s(24). Let h = 48 - 30. Calculate the highest common factor of y and h.
18
Let x be 9 - (0 + 1 - 2). Let n = 24 - 58. Let w = x - n. What is the greatest common factor of 11 and w?
11
Let z = -4 - -2. Let i be (z - (-22 + -2)) + -1. Let d be (14 + 4)*56/16. What is the greatest common factor of d and i?
21
Suppose -16 = 4*m, 4*g - 71 = 2*m + 49. Let y = g - 26. Suppose 120 = 2*s - y*h, -4*s + 60 + 180 = -2*h. What is the greatest common factor of s and 12?
12
Let v = 22 - 18. Suppose 4*r + 10 = -d - 8, -4*d - v*r = 60. Let p(f) = f**2 + 11*f - 11. Let a be p(d). What is the highest common divisor of 217 and a?
31
Suppose 5*o - 3*m = -0*o + 765, 3*m = 4*o - 612. Suppose 0 = 12*c - 11*c - o. Calculate the highest common divisor of 17 and c.
17
Suppose -5*w + 237 = 4*k, -2*k - 39 = -w - 0*k. Suppose -2*q = -3*q + w. What is the highest common divisor of q and 18?
9
Suppose -5*t - 97 + 307 = 0. Calculate the highest common divisor of 336 and t.
42
Let j(g) = -3 + g + 12*g**2 - 11*g**2 + 5 + 1. Let q be j(0). Let i = 3 - 0. Calculate the greatest common divisor of i and q.
3
Suppose 0 = 5*s + 28 - 48. Suppose 8*v - s*v - 96 = 0. Calculate the highest common divisor of 6 and v.
6
Suppose 16*w - 20*w + 76 = 2*q, 0 = 2*w + 4. What is the highest common factor of 938 and q?
14
Suppose -34*p + 43*p = 396. Let j = 25 + -14. What is the highest common factor of j and p?
11
Let y = 1035 + -1030. Let j = 3 + 0. Suppose -k + 3*k + 208 = j*z, 239 = 4*z + y*k. Calculate the highest common divisor of z and 6.
6
Let f(c) = -9*c - 17. Let j be f(7). Let m = 160 + j. What is the greatest common divisor of m and 32?
16
Let i = 165 - 95. Suppose 0*z = 2*z - c - i, -5*z - c + 175 = 0. What is the highest common factor of 7 and z?
7
Let y = -1144 + 1165. What is the highest common factor of 6 and y?
3
Let w(d) = -d**2 + 57*d + 7. Let r be w(42). Calculate the greatest common divisor of 49 and r.
49
Let f(k) = -k - 20. Let z be f(-14). Let p be (z - 3)/3 + -4. Let r(g) = g**3 + 7*g**2 - 3*g + 3. Let l be r(p). What is the highest common factor of l and 8?
8
Let h be (-9)/(-6)*(94 - 30/(-5)). What is the greatest common factor of h and 120?
30
Let d(w) = -2*w**2 - 29*w + 141. Let g be d(-18). What is the highest common factor of 645 and g?
15
Let g be 32/28*14385/30. Calculate the greatest common factor of g and 959.
137
Let a(p) = -p**3 + 5*p**2 + 7*p - 2. Let v be a(6). Suppose -7*i + 33 = -v*i. Let b = i - 5. Calculate the greatest common divisor of b and 18.
6
Let h = -10 + 30. Suppose -h*z + 18*z + 42 = 0. Suppose -3*b + q = -6*b + 188, 3*q - 123 = -2*b. Calculate the highest common divisor of z and b.
21
Let a be (5/(-5))/((-2)/(-18)). Let i = a - -13. Suppose 0*o + 21 = 2*o + b, 15 = 2*o - 5*b. What is the highest common factor of i and o?
2
Suppose 12*v - 1105 = 335. Calculate the highest common divisor of v and 48.
24
Suppose -3*n + 57 = 3*j + 3, -3*n + 32 = 2*j. Let f(a) = -a**2 - 12*a + 6. Let h be f(-9). Calculate the greatest common factor of h and j.
11
Suppose -5*s + 2*s + 168 = 0. Let p be -5 + (485/40 - 4/32). Calculate the highest common divisor of p and s.
7
Let c be 2*((-1)/(-2) + 1). Suppose 3*v = -c*z + 192, z - 30 - 31 = 2*v. Suppose -189 = -5*r - 22*r. What is the greatest common factor of r and z?
7
Suppose 0 = -8*y + 14 + 98. What is the greatest common divisor of 238 and y?
14
Suppose -w = -3*w - 6. Let l be 24/3*w/(-6). Suppose -l*f = -3*c + 70 - 238, -4*f + 2*c + 168 = 0. Calculate the greatest common divisor of f and 21.
21
Let m = 164 - 233. Let q = 91 + m. What is the greatest common divisor of 242 and q?
22
Suppose 0 = -5*p + m + 78, p + 0*m - 3*m - 24 = 0. Suppose p = 2*y - 25. Calculate the greatest common factor of 220 and y.
20
Let g be (-1)/2 - 46/(-4). Suppose 0 = 8*d + 19 + 21. Let m = 38 + d. Calculate the greatest common divisor of g and m.
11
Let l be (10/6)/((-7)/(-189)). Let p(k) = -4*k + 2. Let v be p(-7). Suppose l = 5*x - v. What is the highest common factor of 15 and x?
15
Suppose 4*t = -0*t + 1488. Suppose m - 254 = -m + 4*z, -3*z = 3*m - t. Let o(u) = 4*u + 1. Let j be o(6). Calculate the greatest common divisor of m and j.
25
Let s(a) = -7*a + 37. Let d be s(-5). Let h = d + -36. Let g = -5 + 11. What is the greatest common divisor of g and h?
6
Let g be 20*4/((-16)/(-12)) - -1. What is the greatest common divisor of g and 488?
61
Let m be (-480)/(-24)*(-2)/(-5). Calculate the highest common divisor of m and 92.
4
Let d be (9/6)/((-9)/(-12)). Suppose 0 = -x + 3*j + 20, -d*j - 25 = -2*x - 5. Let m = -2 + 7. Calculate the greatest common divisor of x and m.
5
Let x be (-32)/(-24) + (-2)/(-3). Let n(r) = 11*r + 6 + 4 - 5*r**2 + 1 + 4*r**x. Let k be n(9). Calculate the highest common divisor of k and 29.
29
Let f be (14/21)/((-2)/(-6)). Suppose 0 = -f*q - q + 81. Let c be 32/12*q/6. What is the highest common divisor of 12 and c?
12
Suppose -13*y - 29 + 107 = 0. Suppose -3*j + 5*x - 32 - 6 = 0, 4*j + 2*x = -16. Let l be (-5)/2*j/1. What is the greatest common divisor of l and y?
3
Let x(z) = -z**3 + 10*z**2 - 11*z + 17. Let s be x(9). Let d be (4036/(-18))/s - 8/36. What is the highest common divisor of d and 56?
56
Let v(p) = 99*p**3 + 2*p - 1. Let f be v(1). Suppose 7*d - 21 = 28. Suppose 32 = -d*u + 172. What is the highest common factor of u and f?
20
Suppose 4*y - 3*y - 51 = 0. Suppose -r + 3*r + h - 31 = 0, -2*r + 22 = 4*h. What is the highest common factor of r and y?
17
Let s be (-2)/(-4)*(19 - (-39507)/13). What is the highest common divisor of 11 and s?
11
Suppose 11*s = 34 + 43. Let v(x) = -x**2 + 11*x - 15. Let g be v(s). Calculate the highest common divisor of g and 156.
13
Suppose 6*y = 9*y - 69. Calculate the highest common divisor of y and 6.
1
Let r(l) = l**3 - 29*l**2 + 8*l - 34. Let o be r(29). Calculate the highest common factor of 44 and o.
22
Suppose -7*p = -p - 126. Suppose h - 378 = -17*h. Calculate the greatest common divisor of h and p.
21
Let x = 36 + -45. Suppose 3 = -c - 5*i, -4*i + 2*i - 6 = 0. Let s = x + c. Calculate the highest common factor of 24 and s.
3
Sup


5
Let f(w) = w**3 - 2*w**2 - 2*w + 4. Let r be f(2). Solve 4*y + r = -o - 8, 2*o - 5 = -y for o.
4
Let w be (1/(-3))/(2/(-24)). Suppose -2 - w = -2*s. Solve -5 = 5*p, s*h = -h + 5*p + 1 for h.
-1
Suppose 0 = 2*k - 3*k + 4. Let x = 10 - k. Suppose x*d = d. Solve -2*n = -4*b + 8, -2*b + 4 = -d*n + 3*n for n.
0
Let u be -3 + 2 + 3 + 19. Let z = 25 - u. Solve -z*y + 4*g - 20 = 0, -y + 3*g = -g + 17 for y.
-1
Let r be (-24)/40 - (-112)/20. Solve 0 = -4*c + r*x - 20, -4*c + 2*x - 15 = 5 for c.
-5
Suppose -3*a + d + 28 = 0, -3*a + 2*d = -d - 24. Solve -2*c + 5*r + 13 = -c, -2*c + 2*r = -a for c.
3
Let d be -3 - 45*2/3. Let z = d - -35. Solve a - 4 + 6 = u, -6 = -3*u + z*a for u.
2
Let v(n) = 4*n**2 - 1. Let c be v(1). Let i(q) = q**3 + 8*q**2 - 9*q + 5. Let u be i(-9). Solve -26 = -4*h - 0*h - u*y, 18 = c*h + 3*y for h.
4
Let o(k) = k**2 - 2*k - 3. Let i be o(5). Suppose 118*v - i = 114*v. Solve 9 = -4*c + b, v*b + 5 = 3*c - 7*c for c.
-2
Let h(y) = -3*y + 5*y + 4 + 9. Let n be h(-6). Let d be 28/7 + (-2 - n). Solve 0 = 2*k + 2*k - 3*l + d, -3*k - 22 = 2*l for k.
-4
Let z(k) = 9*k - 2. Let r be z(3). Suppose m = 2*f + 11, -2*f - r = 3*f - 5*m. Let h = f + 8. Solve h*i - 4 - 8 = 5*v, -3*i - 4 = -2*v for v.
-4
Let u be (-8)/(-24) - 4/(-6). Suppose -11*w = -10*w + u. Let k be (w - 3) + 5 - -3. Solve -2*l = -k, x + 4*x = 3*l - 1 for x.
1
Let r be ((-2)/6)/(7/42). Let n be (-4 + (-4 - -8))/r. Solve 2*i = -n*d - d + 12, -5*d = 3*i - 25 for i.
5
Suppose -7*s - 4*x = -2*s + 1, 0 = -s + 4*x + 19. Solve 0 = -4*r + 9*r - s*g - 15, 3*r - 4*g - 9 = 0 for r.
3
Let y = 190 - 185. Solve -i = 3*f + 14, y*f - 4*i = -0*i - 29 for f.
-5
Suppose -3*q + 27 = -3. Suppose 28 = 3*n + 4*z, 5*z = -4*n + q*z - 4. Solve 12 = -2*f + t + 3, 4*f + n*t + 24 = 0 for f.
-5
Let a = -269 + 284. Solve -m - 4*j + 15 = 0, 5*m + 2*j + 0 + a = 0 for m.
-5
Suppose 0 = j + 2*b - 61, -5*j + 185 = -b - 87. Suppose 5*u + j = 2*v, -3*v - 5*u + 25 = -v. Solve -2*f + 2*i - 20 = -7*f, -i - v = -5*f for f.
4
Let n = -15 - -23. Suppose 4*z = -0*z + n. Suppose -5*y = -7*y + 3*m + z, -5*y = 3*m - 5. Solve y + 1 = w - 2*i, -2 = -2*w + 3*i for w.
-2
Let o = -228 - -250. Solve o = -7*q + 2*q - 4*s, 5*s = -15 for q.
-2
Suppose -4*a = 0, 0 = -s + 4*a + 9 + 9. Suppose 3*z - 6*z - s = 0. Let q be (0 + 15)*(-2)/z. Solve d - 3*u + 1 = 19, q*u = 2*d - 31 for d.
3
Let f be 86/18 - 2/(-9). Let t be (0 - -2)*(25 - -5). Suppose 4*s - t = -0*s. Solve -3*i - s = -3*z, -i + 4*z - z = f for i.
-5
Suppose 5*u - 2*g + 61 = 0, 2*u + g - 8 = -36. Let m(v) = -v**3 - 12*v**2 + 14*v + 18. Let f be m(u). Solve -f*s = -3*h + 7, -s = s + 4 for h.
-1
Let x be ((-25)/(-1 + 6))/((-5)/2). Solve -4*l - x*i = 0, 3*l - 1 - 9 = -4*i for l.
-2
Suppose -3*z - 12 = -6*z. Suppose -5*b = 2*q + 16, z*q + 81 = -b + 13. Let j be (-2)/(-3)*q/(-4). Solve 2*k - 3*k + 2*l = -j, l = 4*k + 9 for k.
-3
Suppose 29*y - 7 = 28*y - 2*d, 0 = 5*d - 15. Solve -2*b + 3*w + 5 = 0, y = -3*b + 2*w - 6*w for b.
1
Suppose 0 = c - 5*c + 12. Suppose -2 = -3*o + 4. Suppose c*z - z = 2, 1 = w - o*z. Solve 4*h - 3*g - 3 = -h, 4*h + w*g = -3 for h.
0
Let m = -382 + 388. Solve 0 = 3*p - m*p - 5*z - 35, z - 6 = 2*p for p.
-5
Let s be 7/(-14) + 11/(-2). Let n = -6 + 9. Let l be (1/n - 2)*s. Solve 14 - 4 = 2*b + 5*z, -2*b - z = -l for b.
5
Let z(l) = -l**2 + 11*l - 22. Let v be z(7). Solve 2*x + 5*h = 8, -v = -2*x + h - 5*h for x.
-1
Let w(y) = -180*y + 1. Let a be w(3). Let n be a/(-21) - (-2)/(-3). Suppose 0*l = -l + n. Solve 0*u - x = -2*u + 7, 5*x + l = 0 for u.
1
Let f = 277 + -275. Solve u - 2 = -f*s + s, -2*u = s - 2 for u.
0
Let s(a) = -a**3 - 6*a**2 - 5*a - 25. Let o be s(-6). Solve m - 3*w = -12, 0 = o*m - 2*m - 2*w + 8 for m.
0
Suppose 4*p + 1 = 2*i - 1, -p - 2 = -i. Let d(c) = -c. Let a be d(-5). Solve -u + 17 = -i*u - a*v, 37 = 3*u - 5*v for u.
4
Let i(n) = -n**3 - 11*n**2 - 12*n + 1. Suppose -6*j + 91 = 25. Let p = 1 - j. Let o be i(p). Solve 4*l - o = -z + 2*z, 0 = 3*l + 4*z - 11 for l.
5
Let z be (-5 - -8) + -10 - -9. Solve -a = z*n + 5, -n - 2*a - a + 5 = 0 for n.
-4
Suppose 25*j + d - 33 = 20*j, -2*j - 3*d = -21. Solve 5*l + 5 = -5*m, -j*l = -2*l - 4*m - 4 for l.
0
Let q = 39 - 39. Suppose 4*o - s = -4*s + 152, q = 2*o + 5*s - 62. Let f = -39 + o. Solve 2*r - 4*r = f*c + 12, 5*r + 9 = 2*c for c.
-3
Suppose 49 = 3*o - 11. Suppose 0*y + 4*y = o. Suppose y*j = -2*w + 45, -93 = -5*w - 4*j + 11. Solve 4*a - w = 0, 11*z - 6*z = -5*a + 35 for z.
2
Let x(y) = y**3 - 13*y**2 + 23*y - 7. Let s be x(11). Solve 3*b = 6*b - 4*r + 35, -45 = s*b - 5*r for b.
-5
Suppose -3*k + 4*k = 16. Suppose -3*s - z + k = 0, -2*z - z = 4*s - 28. Let m(c) = 3*c + 71. Let o be m(-23). Solve 0 = -4*p + 3*f - 3, o*f = s*p - 3 + 5 for p.
0
Let f = 4 + 0. Suppose -2*b + b = 3*b. Solve -x - 3 = -u, -u = f*x - b*x - 3 for x.
0
Let b = -45 + 42. Let r be -2 + 3 - (b - 1). Solve d = 2*y + 2*d, 0 = 4*y + r*d for y.
0
Let j(n) = -n**2 + 12*n - 23. Let b be j(9). Let v(x) = x**3 - x**2 - 2*x + 3. Let w be v(3). Solve -2*h - 36 + w = -5*s, b*s - 18 = h for s.
5
Let j(x) = -3*x + 4*x + 2*x + 13 - 2*x. Let q be j(-14). Let g be 2*(-3)/6 - q. Solve -8*l - 4*u = -3*l - 10, g = 4*l + u + 3 for l.
-2
Let c = 801 - 797. Solve 0 = -4*v + z - c*z - 32, v + 21 = -4*z for v.
-5
Let q(p) = 28 + 8*p + 7 - 2*p - 8*p. Let f be q(16). Solve -4*c = f*j + 17, 2*j = 3*c - 0*j for c.
-2
Let o(i) = 11*i + 2. Let l be o(3). Let j = l - 30. Solve -k + 6*k - 30 = j*c, 2*c - 23 = -5*k for k.
5
Suppose 4*r = 5*u + 20, -5*r + 12 = -10*r - 3*u. Solve -4*y = 3*g - 21, r = -11*g + 6*g - 3*y + 24 for g.
3
Suppose 8*v + 56 = 4*v. Let n be (-36)/v - 8/14. Let l(z) = -z**3 + 6*z**2 + 7*z + 2. Let x be l(7). Solve 3 = i, x*y = -n*y - 3*i - 3 for y.
-3
Let t = 6 - 4. Let w be 11/t + 6/(-4). Suppose -x = 5*i - 26, 0*x + 3*x = -3*i + 18. Solve -23 + 3 = w*b + 4*n, 16 = -2*b - i*n for b.
-3
Suppose -3 = -a + z, -18*z = -20*z - 6. Solve 4*y + 4*s - 40 = -a*s, 10 = -3*y + 5*s for y.
5
Let v(a) = a**3 - 9*a**2 + 6. Let w be 9/2*(-2 - -4). Let c be v(w). Solve -c*l = 3*s - l + 10, 2*s - 35 = 5*l for s.
5
Let b = -358 + 363. Solve 0 = -b*p - m - 3, -p + 7 = 2*m + 2*m for p.
-1
Let z(s) be the first derivative of s**4/4 - 2*s**3 + 5*s**2/2 + 4*s - 28. Let x be z(5). Solve -3*l - 2 = -2*b, 0*b = x*b + 3*l + 32 for b.
-5
Let r = -158 - -162. Solve r*s = 2*a - 28, -5 + 50 = -5*s + 5*a for s.
-5
Let d be (-3)/8*1088/(-204). Let r be ((-1)/1)/(1/(-3)). Suppose w = -r*w. Solve w = -g - 0*g + 5*c - 20, d*g + 1 = -3*c for g.
-5
Let f = -4 - -3. Let l(d) = -2*d**2 - 9*d + 21. Let v be l(-6). Let j = v + f. Solve -3*k - 20 = -0*k + 4*t, -8 = k + j*t for k.
-4
Let n be (-5)/2*6/(-15). Suppose t = -4*j + 11, 20 = j - 3*t + n. Solve 0*r + j = 3*g - r, 7 = 4*g - 3*r for g.
1
Let z(b) = -6*b - 14. Let j be z(-3). Solve 2*d - 3*d - p = 0, 0 = j*p + 8 for d.
2
Suppose -4*u - 2 = -z, -2*z + 3*u + 0*u + 19 = 0. Solve -2*n + 6 = -s, 3*n - 3*s - z = -2*n for n.
4
Suppose -4*y = 5*i - 100 + 98, 4*i = -3*y + 1. Solve 14*l - 19*l + 24 = x, -y*l = -12 for x.
4
Let c = 359 - 357. Solve c*o + 4*g = 6*o - 28, -g + 3 = 4*o for o.
2
Let p = -8 + 27. Let t(v) = 0*v + v + p - 7. Let s be t(-9). Solve -4*q - 23 = -3*g, -21 = s*q - 4*g + g for q.
-2
Let u be ((-8)/(-12))/(3/(81/6)). Solve 0 = -5*v - 4*i - 10, -v - u*i = -5*i - 12 for v.
2
Let q(n) = 2*n + 22. Let a be ((-30)/(-8))/((-15)/40). Let l be q(a). Solve -3*j = -2*y + l, 0 = -5*j - y + 6*y for j.
-2
Let i be (-22)/275 - 104/(-50). Solve -i*r + 3*u = 11, 2*r - 5*u = -r - 17 for r.
-4
Let y be 3 + 0 + 5 + -2. Let a be (5 + 42/(-12))/(y/40). Solve -2*h - a = 0, 2*x + 7 = -x - 2*h for x.
1
Let l be ((-800)/60)/(1/3). Let y = -34 - l. Solve 3*o + 15 = 3*j, 3*o = -y*j + 2*j + 13 for j.
4
Suppose -20*v = l - 17*v + 5, 5*l = 5*v + 35. Solve -t = 5*g - 23, -g + l + 0 = 0 for t.
3
Suppose -2*r + y + 3 = -0*r, -5*y = -3*r + 15. Suppose -3*f = f. Suppose -g = 5*j - 0*g - 125, f = 2*g. Solve 5*u + a = 3*a - 10, r = -u - 5*a + j for u.
0
Let f(z) = 12*z - 108. Let q be f(9). Solve -24 = -5*j + p, -4*p + 29 = 5*j - q*p for j.
5
Suppose 0 = -4*f + 3*f. Suppose 2*i + 1 = 55. Let y = -25 + i. Solve 5*g - 5*p + 5 = f, 0 = -y*g - 3*g - 5*p + 5 for g.
0
Let d = 96 - 94. Solve -2*u = -2*z + 8, -d*z - 25 = -6*z - 5*u for z.
5
Suppose -23


/18*u**3 + 2. Let f(a) be the second derivative of x(a). Factor f(j).
(j - 2)*(j - 1)/6
Let 0*q**3 - 2/5*q**4 + 0 + 0*q + 0*q**2 - 2/5*q**5 = 0. What is q?
-1, 0
Suppose 5*d - r - 2*r + 5 = 0, 5*r = 4*d + 17. Factor 4*l - d*l**3 - 2*l**3 - 10*l + 20*l**2 - 10*l.
-4*l*(l - 4)*(l - 1)
Suppose -2*g = -20 + 10. Factor 80*h**4 + 0*h**5 + 5*h**g + 105*h**3 + 395*h**3 + 2647*h + 1520*h**2 + 1280 - 407*h.
5*(h + 2)**2*(h + 4)**3
Let r(f) be the first derivative of 2*f**5/5 - 5*f**4 - 16*f**3 - 526. Determine o, given that r(o) = 0.
-2, 0, 12
Factor 16 - 2*i**3 + 62/3*i**2 - 164/3*i.
-2*(i - 6)*(i - 4)*(3*i - 1)/3
Let k(r) = r. Let v be k(0). Suppose -12/5*b + v + 21/5*b**2 - 6/5*b**3 - 3/5*b**4 = 0. Calculate b.
-4, 0, 1
Let i(s) = -1950*s**2 + 1848*s + 39. Let c(v) = 195*v**2 - 185*v - 4. Let o(t) = -21*c(t) - 2*i(t). Factor o(m).
-3*(m - 1)*(65*m + 2)
Let h(n) be the first derivative of 7*n**6/2160 - 11*n**5/180 + n**4/12 + 12*n**3 + 33. Let y(o) be the third derivative of h(o). Determine q so that y(q) = 0.
2/7, 6
Let c(j) be the second derivative of 0 - 5/2*j**2 + 5/3*j**4 + 0*j**3 - 12*j. Factor c(x).
5*(2*x - 1)*(2*x + 1)
Factor 2/7*k**4 + 22/7*k**2 + 2/7*k**5 - 8/7*k + 0 - 18/7*k**3.
2*k*(k - 1)**3*(k + 4)/7
Let o = 2741/4535 + -4/907. Solve 1/5*i**2 - 4/5*i + o = 0 for i.
1, 3
Let b(f) be the third derivative of f**6/8 + 21*f**5/20 + f**4/2 + 196*f**2 - 2. Solve b(d) = 0.
-4, -1/5, 0
Let z = 485/469 + -31/67. Determine k so that z*k**4 - 4/7*k**2 - 4/7*k**3 + 0 + 4/7*k = 0.
-1, 0, 1
Let x(k) be the third derivative of -k**6/24 - k**5/3 + 5*k**4/2 + 445*k**2. Factor x(t).
-5*t*(t - 2)*(t + 6)
Suppose -3*q + 2*m + 2 = 0, 0 = -2*m - m + 15. Suppose 3*p = q*p. Factor -1/3*x + p + 1/6*x**3 + 1/6*x**2.
x*(x - 1)*(x + 2)/6
Let x be (-26)/(-4) - (-5 - 0)*-1. Find c, given that -3/2*c**4 + 0 + x*c**2 - 3/2*c + 3/2*c**3 = 0.
-1, 0, 1
Solve 95*r**2 - 30*r**3 + 17 + 26*r**3 - 118*r + 10*r**3 = 0 for r.
-17, 1/6, 1
Let q(y) be the third derivative of -19*y**5/90 + 5*y**4/12 + 4*y**3/9 + 399*y**2. Factor q(x).
-2*(x - 1)*(19*x + 4)/3
Let t(y) be the second derivative of 0 + 3*y - 4*y**2 + 1/10*y**5 + 0*y**3 + 1/2*y**4. Factor t(i).
2*(i - 1)*(i + 2)**2
Let y(l) be the third derivative of l**5/15 - 17*l**4/2 - 104*l**3/3 + 9*l**2 + 10. Determine o, given that y(o) = 0.
-1, 52
Let m(t) be the second derivative of t**6/6 - 3*t**5/2 - 10*t**4 - 65*t**3/3 - 45*t**2/2 - 45*t. Let m(o) = 0. Calculate o.
-1, 9
Let y(u) be the third derivative of u**7/630 + u**6/90 - 23*u**5/45 - 8*u**4/3 + 128*u**3 + 2*u**2 + 47. Factor y(j).
(j - 6)**2*(j + 8)**2/3
Let i = 4914 + -9827/2. Determine n, given that 0 - 1/4*n**5 + 0*n**4 + i*n**3 - 1/4*n + 0*n**2 = 0.
-1, 0, 1
Let n(f) = -f**2 - 2*f - 31. Let u(c) = -c**2 + c - 32. Let k(x) = -4*n(x) + 5*u(x). Factor k(b).
-(b - 9)*(b - 4)
Let h(q) be the third derivative of -q**8/728 - q**7/195 + 2*q**5/195 + 4*q**2 - q. Suppose h(w) = 0. What is w?
-2, -1, 0, 2/3
Let w(m) be the second derivative of -m**5/110 + 14*m**4/11 + 57*m**3/11 + 86*m**2/11 - 303*m + 1. Solve w(r) = 0.
-1, 86
Suppose -10*j - 7*j = -11*j. Let y(h) be the second derivative of 0*h**2 + 4*h - 1/10*h**5 + 1/3*h**3 + 0 + j*h**4. Let y(l) = 0. What is l?
-1, 0, 1
Let l(w) be the first derivative of -2*w**5/45 + 4*w**4/9 - 2*w**3/3 - 2*w**2 + 123. Factor l(g).
-2*g*(g - 6)*(g - 3)*(g + 1)/9
Let f(o) = -6*o**3 + 6*o**2 - 7*o - 7. Let z(x) = 6*x - 78*x**3 + 83*x**3 - 5*x**2 + 0 + 6. Let v(b) = -6*f(b) - 7*z(b). Factor v(n).
n**2*(n - 1)
Let o be 0/(-1)*((-95)/(-20) - 5). Let d(n) be the first derivative of -3 + 1/3*n**3 + 0*n**4 + o*n**2 + 0*n - 1/5*n**5. Factor d(p).
-p**2*(p - 1)*(p + 1)
Let b(s) be the third derivative of s**6/180 + s**5/6 + 25*s**4/12 + 7*s**3/6 - 6*s**2. Let v(p) be the first derivative of b(p). Factor v(x).
2*(x + 5)**2
Factor 0 + 6/5*x - 13/10*x**2 + 1/10*x**3.
x*(x - 12)*(x - 1)/10
Let d(m) be the third derivative of 5*m**8/336 - 2*m**7/21 - 9*m**6/8 - 19*m**5/6 - 10*m**4/3 + 2*m**2 + 42. Let d(b) = 0. What is b?
-2, -1, 0, 8
Let z(l) = -17*l**3 - l**2 - l - 1. Let f be z(-1). Let j be (-3)/((-12)/f + 0). Factor 4*p**3 + 8*p - 1 - 12*p + 2 + 1 - 2*p**j.
-2*(p - 1)**3*(p + 1)
Factor -5508*h + 493039 + 18*h**3 + 24231*h - 37*h**2 + 274*h**2 - 17*h**3.
(h + 79)**3
Let z(s) be the third derivative of s**5/150 + 7*s**4/10 - 43*s**3/15 + 471*s**2. What is f in z(f) = 0?
-43, 1
Suppose 0 = 5*z + 20, 12*w + 197 = 15*w + 4*z. Let f = 143/2 - w. Factor -2 + 5/2*y - f*y**2.
-(y - 4)*(y - 1)/2
Let f(l) be the second derivative of -l**5/20 - l**4/6 + l - 12. Suppose f(y) = 0. Calculate y.
-2, 0
Solve 22/13*w**2 - 16/13*w + 16/13*w**3 - 24/13 + 2/13*w**4 = 0.
-6, -2, -1, 1
Let b(g) = 2*g**4 + 6*g**3 + 9*g**2 + 5*g - 11. Let j(c) = -c**4 - 3*c**3 - 5*c**2 - 3*c + 6. Let m(k) = -6*b(k) - 11*j(k). Factor m(s).
-s*(s - 1)*(s + 1)*(s + 3)
Let k(c) be the third derivative of -c**7/630 - c**6/72 + c**5/180 + 5*c**4/72 - 5*c**2 + 7. Factor k(l).
-l*(l - 1)*(l + 1)*(l + 5)/3
Let g be ((-44)/20 - -3 - (-1 + 3)) + 2. Find v, given that -4/5 + 4*v**2 + 12/5*v**3 + g*v = 0.
-1, 1/3
Let x = -54 + 48. Let r be (-9)/(-15) - (-1 - x)/(-25). Factor -2/5*f**3 - r*f**2 + 0 - 2/5*f.
-2*f*(f + 1)**2/5
Let l(k) be the second derivative of 7*k + 0*k**3 + 0 + 0*k**5 + 1/30*k**6 + 0*k**2 - 1/12*k**4. Find g such that l(g) = 0.
-1, 0, 1
Let f = 113 + -108. Suppose -f*v = 7*c - 5*c - 11, 4*c + 2*v = 14. What is z in -z**4 + 1/2*z + z**2 + 0 - 1/2*z**c = 0?
-1, -1/2, 0, 1
Let j(b) be the third derivative of b**6/60 + 7*b**5/30 + 5*b**4/6 + b**2 - 69. Factor j(v).
2*v*(v + 2)*(v + 5)
Suppose -6*o - 13*o + 228 = 190. Determine a, given that -4/3*a**3 - o*a**4 - 16/3*a + 2/3*a**5 + 8*a**2 + 0 = 0.
-2, 0, 1, 2
Let z(d) be the first derivative of d**3/21 - 204*d**2/7 + 41616*d/7 + 37. Factor z(y).
(y - 204)**2/7
Suppose -8/7*t**2 + 1/7*t**4 + 16/7*t**3 + 16/7 - 32/7*t - 2/7*t**5 = 0. What is t?
-2, 1/2, 2
Solve -4/7*m**4 - 3/7*m**2 + 16/7*m + 4/7 - 13/7*m**3 = 0.
-2, -1/4, 1
Let c(n) = n**3 - 7*n**2 + 5*n + 10. Let p be c(6). Suppose -p + 14 + 10*l**2 + 6*l - 10 = 0. What is l?
-3/5, 0
Let i(r) be the third derivative of r**7/245 + r**6/105 - 13*r**5/210 + r**4/14 + 2*r**2 - 65*r. Suppose i(x) = 0. What is x?
-3, 0, 2/3, 1
Factor 15*o**3 + 11*o**2 - 40*o + 39*o**2 + 25 - 16 - 9.
5*o*(o + 4)*(3*o - 2)
Let 0 + 0*d - 8/3*d**2 - 1/3*d**4 - 3*d**3 = 0. Calculate d.
-8, -1, 0
Let l = 40 + -59. Let o = 19 + l. Factor -3/2*s**2 + s + o + 1/2*s**3.
s*(s - 2)*(s - 1)/2
Find r such that 50*r**4 - 50*r**2 - 22*r**5 + 9*r**3 + 46*r - r + 17*r**5 - 49*r**3 = 0.
-1, 0, 1, 9
Factor 16*k**3 - 5*k**5 - 5*k**2 + 15*k**4 - 10*k**4 - 11*k**3.
-5*k**2*(k - 1)**2*(k + 1)
Let r(k) = -k**4 - 4*k**3 - 2*k**2 + 52*k + 79. Let o(w) = w**4 + 3*w**3 + 3*w**2 - 51*w - 78. Let a(n) = -2*o(n) - 3*r(n). Factor a(d).
(d - 3)*(d + 3)**3
Let p(v) be the second derivative of v**6/30 - v**5/10 - 2*v**4/3 + 3*v**3 - 9*v**2/2 + 5*v + 20. Factor p(s).
(s - 3)*(s - 1)**2*(s + 3)
Let m(p) be the first derivative of -p**4/4 + 5*p**3/3 - p**2 - 8*p + 148. Factor m(u).
-(u - 4)*(u - 2)*(u + 1)
Factor -8/7*p + 6/7*p**3 + 0*p**2 + 2/7*p**4 + 0.
2*p*(p - 1)*(p + 2)**2/7
Let u(w) be the third derivative of 0*w + 3/50*w**5 - 17*w**2 + 0 + 0*w**4 + 0*w**3 + 1/175*w**7 + 1/25*w**6. Let u(d) = 0. Calculate d.
-3, -1, 0
Let v(n) = -2*n**4 - 50*n**3 + 124*n**2 - 63*n - 3. Let i(z) = 2*z**4 + 52*z**3 - 122*z**2 + 62*z + 2. Let f(c) = 3*i(c) + 2*v(c). Solve f(t) = 0 for t.
-30, 0, 1
Let j(s) be the third derivative of 0 + 1/3*s**4 - 12*s**2 - 5/3*s**3 + 0*s + 1/30*s**5. Solve j(g) = 0 for g.
-5, 1
Let 6084/7 + 4/7*b**3 - 44*b**2 + 5772/7*b = 0. What is b?
-1, 39
Let i(w) = -200*w**2 - 1715*w - 1695. Let k(z) = 9*z**2 + 78*z + 77. Let d(p) = -2*i(p) - 45*k(p). Factor d(u).
-5*(u + 1)*(u + 15)
Let c(m) = 5*m**4 + 80*m**3 + 380*m**2 + 700*m. Let u(i) = -2*i**2 - i. Let q(d) = c(d) - 20*u(d). Factor q(s).
5*s*(s + 4)*(s + 6)**2
Let l(b) be the third derivative of b**7/42 - 7*b**6/8 + 29*b**5/4 - 575*b**4/24 + 40*b**3 + 16*b**2 + 7*b. Factor l(k).
5*(k - 16)*(k - 3)*(k - 1)**2
Let f(u) be the second derivative of 2*u**6/15 - 6*u**5/5 + 4*u**4/3 + 4*u**3 - 10*u**2 + u - 43. Solve f(t) = 0 for t.
-1, 1, 5
Let k(v) be the second derivative of -7/6*v**3


 2, 3*r - z = -2*r - 10. What is r*h(d) - 21*c(d)?
3*d**3
Let b(s) = 459140*s**3 + 160*s - 4160. Let n(a) = -8663*a**3 - 3*a + 78. What is 3*b(i) + 160*n(i)?
-8660*i**3
Let c(j) = 54*j**3 - 124*j**2 + 2*j. Let b(q) = 74*q**3 - 186*q**2 + 3*q. What is 5*b(v) - 7*c(v)?
-8*v**3 - 62*v**2 + v
Let o(p) = 87*p + 123. Let k(g) = -4*g - 5. Give 90*k(m) + 4*o(m).
-12*m + 42
Let s(w) = 64*w + 26. Let g(z) = -z. What is -5*g(d) - s(d)?
-59*d - 26
Let n(t) = -3147*t + 31464. Let q be n(10). Let j(k) = -k + 1. Let u(m) = 5*m + 3. Let f(a) = a + 1. Let b(g) = 6*f(g) - 2*u(g). Give q*j(x) + b(x).
2*x - 6
Let y(r) = -18*r**3 - 12*r**2 - 5*r - 5. Let b(o) = -37*o**3 - 21*o**2 - 9*o - 10. Determine 5*b(z) - 9*y(z).
-23*z**3 + 3*z**2 - 5
Let b be 8740/3059 - (-2)/14. Let o(n) = -5*n + 0*n**3 - 4*n**3 - 2*n**2 - 3*n**2 + n**3 + 2. Let l(y) = -2*y**3 - 3*y**2 - 3*y + 1. What is b*o(k) - 5*l(k)?
k**3 + 1
Let k(l) = 2247*l + 52. Let a(d) = 5*d + 17. Determine 6*a(v) - 2*k(v).
-4464*v - 2
Suppose 494*u = 474*u + 60. Let g(y) = 4*y**2 - y - 3. Let p(v) = -v**2 - 6*v + 2. Let f(r) = r**2 + r - 1. Let d(h) = 6*f(h) + p(h). Calculate u*d(j) - 4*g(j).
-j**2 + 4*j
Let a(h) = -2. Let z(i) = -21*i. Let n(l) = -146*l. Let d(f) = -n(f) + 7*z(f). Suppose 11 + 1 = 3*k + 5*t, -k - 2*t + 5 = 0. Determine k*a(r) + 4*d(r).
-4*r + 2
Let z(s) = -39*s + 61. Let u(b) = 2*b - 9. Give -6*u(j) - z(j).
27*j - 7
Let o(x) = -x - 663. Let r(p) = 658. Determine -4*o(h) - 5*r(h).
4*h - 638
Let f = 65 - 226. Let j be ((-414)/f)/(2/14). Let v(q) = 3*q**2. Let k(g) = 13*g**2. Calculate j*v(i) - 4*k(i).
2*i**2
Let a(m) = -527*m + 7. Let f(h) = -1040*h + 14. Give 11*a(r) - 6*f(r).
443*r - 7
Let z(s) = s**3 + s**2 + 1. Let h(m) = -6*m**3 - 5*m**2 - 2*m - 3. Let l be (-45)/(-90)*(-2)/3*(-3)/1. Calculate l*h(o) + 5*z(o).
-o**3 - 2*o + 2
Let b(y) be the second derivative of -y**3/6 + y**2 - 281*y. Let g(m) = m - 2. Let c(f) = -5*f**3 + f**2 + f. Let k be c(-1). Calculate k*g(q) + 4*b(q).
q - 2
Let b(r) = 23*r - 102. Let u(f) = -47*f + 230. Let a(y) = 9*b(y) + 4*u(y). Let o(i) = -2184*i - 231. Determine 231*a(x) + 2*o(x).
21*x
Let m(s) = 5*s - 17644 - 3*s - 3*s**2 + 2*s**2 + 17645 - 3*s. Let h(l) = l**2 - 6*l + 5. Calculate h(n) - 3*m(n).
4*n**2 - 3*n + 2
Let j(n) = 4*n**3 + n**2 + 16*n. Let b(z) = 17*z**3 + 5*z**2 + 67*z. Determine -2*b(o) + 9*j(o).
2*o**3 - o**2 + 10*o
Suppose -22 = 2*t + 3*o, -3*t + 41 = -8*t - 4*o. Let f(p) be the first derivative of 13*p**2 - 8*p + 85. Let c(l) = 17*l - 5. Calculate t*f(j) + 8*c(j).
6*j
Let g(z) = -z**2 - z - 1. Let p(m) = 4*m**3 - 5*m**2 - 5*m - 5. Let x = 240 - 258. Let v(i) = -i - 13. Let n be v(x). Determine n*g(d) - p(d).
-4*d**3
Let f(c) = -10*c + 290. Let p(d) = -32*d + 871. What is 10*f(i) - 3*p(i)?
-4*i + 287
Let q(w) = w - 12. Let j(i) = 2*i - 12. Suppose 91*v = -70*v + 29*v - 396. Calculate v*q(u) + 2*j(u).
u + 12
Let q(a) = a**3 + 2. Let u = 2435 - 2431. Let d(r) = -2*r**3 - 2. Calculate u*d(f) + 5*q(f).
-3*f**3 + 2
Let g(z) = -14*z - 10*z - 2 + 30*z - 12*z - 5*z. Let a be -103 + (4/4)/((-2)/(-8)). Let m(r) = 539*r + 99. Determine a*g(s) - 2*m(s).
11*s
Let r(a) = -1494*a**3 - 26*a**2 - 7*a - 5. Let k(g) = 249*g**3 + 4*g**2 + g + 1. Give -13*k(l) - 2*r(l).
-249*l**3 + l - 3
Let b(v) = 80*v**3 + 3*v**2 + 6*v + 6. Let l(o) = -247*o**3 - 10*o**2 - 19*o - 20. Calculate 10*b(s) + 3*l(s).
59*s**3 + 3*s
Let d(w) = -w**2 + 5*w - 3. Let o be d(4). Let u(y) = -1 - 11 - 5 + 16. Let g(f) = -5*f + 1. What is o*g(m) + 3*u(m)?
-5*m - 2
Let d(a) = 4*a - 4. Let l(v) = -429*v + 0 + 432*v - 3. Calculate 5*d(g) - 6*l(g).
2*g - 2
Let q(l) = 57 - 7*l + 78*l**3 - 30 - 20. Let v(y) = -52*y**3 + 5*y - 5. Determine 5*q(c) + 7*v(c).
26*c**3
Let u(g) = -6. Let s(i) = -5. Let v(a) = 7*s(a) - 6*u(a). Let w(l) = -5 + 5 - 4 - l + 0*l. Let x(n) = 337*n + 19207. Let f be x(-57). Give f*w(r) - 6*v(r).
2*r + 2
Let k = 99 - 75. Let s = 0 - -4. Suppose 8*g - s*g = k. Let v(u) = -3*u**3 - 5*u**2 - 5*u + 2. Let o(c) = -3*c**3 - 6*c**2 - 6*c + 2. Give g*v(d) - 5*o(d).
-3*d**3 + 2
Let u(z) = 3. Let s(k) = k. Let g(y) = 8*y - 6. Let m(i) = g(i) - 6*s(i). Let x(a) = -a**2 - 134*a - 3190. Let q be x(-31). What is q*m(p) + 6*u(p)?
6*p
Let q(a) = -399*a**2 + 3*a - 39. Let u(l) = -399*l**2 + 4*l - 52. Determine -4*q(t) + 3*u(t).
399*t**2
Suppose 5*m + 102 = -n, 5*n + 143 = -4*m - 409. Let j(t) = 23*t**3 + 5*t**2 - 5*t + 5. Let r(u) = 518*u**3 + 112*u**2 - 112*u + 112. Calculate n*j(y) + 5*r(y).
14*y**3
Let j(r) = -8*r - 1 + 3*r + 2 + 6*r. Let u(f) = 9*f - 3. Calculate 4*j(a) + u(a).
13*a + 1
Let j(i) = 4*i**2 + 12. Let s(y) = 6*y**2 + 2*y + 16. Let o(q) = 4*j(q) - 3*s(q). Let b(n) = -5*n**2 - 17*n + 1. Determine 3*b(z) - 8*o(z).
z**2 - 3*z + 3
Let x(b) = -16*b**2 + 3*b - 17. Let u(s) = 134890*s + 0 - 6 - 134889*s - 5*s**2. Give -8*u(o) + 3*x(o).
-8*o**2 + o - 3
Let b = 4 + -2. Let l be -3*(-8)/(-4) + 20. Let x(s) = -18*s + 3 - 2 + 29*s - l*s. Let v(u) = -7*u + 2. Give b*v(p) - 5*x(p).
p - 1
Let k(d) be the first derivative of 9*d**2/2 + 8417. Let l(o) = 118*o + 15*o + 14*o - 3*o. Give -63*k(p) + 4*l(p).
9*p
Let b(t) = -235 + t + 107 - 2*t + 106 + 23. Let m(x) = -4*x - 4. Let i(w) = -w - 2. Let s be i(-4). Calculate s*b(o) + m(o).
-6*o - 2
Let p(l) = 19*l**3 + 15*l**2 - 10*l + 12. Let d(m) = 20*m**3 + 16*m**2 - 12*m + 14. Determine 6*d(z) - 7*p(z).
-13*z**3 - 9*z**2 - 2*z
Let m(a) = -a + 2. Suppose 4*n = -2*z - 80, -5*z = -11*n + 8*n - 86. Let u(i) = 11 + 14 - 6*i - 14. What is n*m(w) + 4*u(w)?
-2*w
Let q(v) = -126*v - 33. Let t(j) = -53*j - 13. Let u(o) = -5*q(o) + 12*t(o). Let d(w) be the first derivative of -w**2 + 3*w + 10. Determine 17*d(s) - 6*u(s).
2*s - 3
Let z(x) = -x**2 - 1. Let g(k) = -k**2 + 6*k - 107. Let l(y) = 2*y**2 - 19*y + 338. Let m(n) = -19*g(n) - 6*l(n). Give 3*m(h) + 15*z(h).
6*h**2
Let v(t) = -3*t**3 + 2*t + 39. Let d(c) = 6*c**3 + c**2 - 7*c - 116. Determine -2*d(a) - 7*v(a).
9*a**3 - 2*a**2 - 41
Let j be (-304)/(-3496) + (-90)/(-23). Suppose 5*o - 1 = 4*o. Let p be -1*(-1 + -2)*o. Let y(m) = -4*m**2. Let v(x) = 4*x**2. Give j*v(c) + p*y(c).
4*c**2
Let a(w) be the second derivative of w**4/6 - 2*w**3/3 + w**2 - w. Let o(l) = l**2 - 3*l + 2. Let f = 516 - 1384. Let i = f + 865. Calculate i*o(m) + 2*a(m).
m**2 + m - 2
Let o be (-16)/12*(-6)/(-4). Let s(m) be the first derivative of 9*m**2/2 + 13*m + 947. Let n(d) = -4*d - 6. Calculate o*s(p) - 5*n(p).
2*p + 4
Let c(p) = -20*p - 1. Let w(r) = -14124*r - 6. Calculate 5*c(m) - w(m).
14024*m + 1
Let x(n) = -n**3 + 10*n**2 - 112*n - 3. Let m(k) = -k**3 + 6*k**2 - 112*k - 3. Calculate -3*m(l) + 2*x(l).
l**3 + 2*l**2 + 112*l + 3
Let n(w) = 4*w**3 + 2*w**2 + 8*w - 33. Let r(i) = 16*i**3 + 9*i**2 + 33*i - 133. Calculate -9*n(h) + 2*r(h).
-4*h**3 - 6*h + 31
Let f(q) = 19 - 7*q - 2*q**2 - 22 + 0*q**2. Let n(x) = 4*x**2 + 15*x + 7. Let m = -61 - -73. Suppose 4*v + m = 28. Determine v*n(o) + 9*f(o).
-2*o**2 - 3*o + 1
Let n(p) = -10*p**2 - 2*p + 131. Let s(q) = 8*q**2 + q - 131. Determine -3*n(o) - 4*s(o).
-2*o**2 + 2*o + 131
Let y(v) = -v**2 - v. Let o(q) be the first derivative of 3*q**4 - 5*q**3/3 - 3*q**2 - q - 926. Calculate o(i) - 6*y(i).
12*i**3 + i**2 - 1
Let u be (-4)/6 - ((-76)/(-12) + -6). Let b(c) = -c**3 + 1. Let m(q) = -q**3 + 3*q + 3. Calculate u*m(k) + 3*b(k).
-2*k**3 - 3*k
Let r(l) = -24*l**2 + 24*l - 98. Let b(q) = -14*q**2 + 13*q - 49. Determine 11*b(c) - 6*r(c).
-10*c**2 - c + 49
Let i(b) = -9*b**3 + 421*b**2 + 5*b - 21. Let x(t) = -7*t**3 + 420*t**2 + 4*t - 18. Calculate -6*i(o) + 7*x(o).
5*o**3 + 414*o**2 - 2*o
Let g(f) = 17826*f**2 - 213912*f + 47536. Let s(x) = x**2 - 9*x + 2. Give g(k) - 23768*s(k).
-5942*k**2
Let b(w) = -108*w**2 + 14*w - 2002. Let s(d) = 38*d**2 - 5*d + 668. Calculate -6*b(j) - 17*s(j).
2*j**2 + j + 656
Let s(u) = 6*u**2 - u - 39. Let b(l) = l**2 - 2*l - 4. What is 4*b(y) - s(y)?
-2*y**2 - 7*y + 23
Let s(r) = 16*r + 88. Let f(m) = -38*m - 218. Determine -5*f(i) - 12*s(i).
-2*i + 34
Let j(u) = -37072*u - 4 + 2 + 37071*u - 9*u**2. Let n(b) = -13*b**2 - b - 3. Calculate -7*j(l) + 5*n(l).
-2*l**2 + 2*l - 1
Let h(r) = -4*r**2 + r + 1. Let q(i) = 65*i**3 - i**2 + 3*i + 3. Determine -3*h(g) + q(g).
65*g**3 + 11*g**2
Let h(x) = 2*x - 6. Let u be (-6 + 40/12)*(-6)/(-4). Let z be u/(-12)*-3*5. Let a(j) = 2*j


ow many centimeters are there in twenty-nine fifths of a meter?
580
How many millimeters are there in 3/8 of a meter?
375
Convert 9079.42mg to kilograms.
0.00907942
How many millilitres are there in 442.9235l?
442923.5
What is seven quarters of a litre in millilitres?
1750
What is 18/5 of a litre in millilitres?
3600
How many weeks are there in 1019522.511ns?
0.0000000016857184375
What is seven halves of a hour in minutes?
210
What is 12/25 of a litre in millilitres?
480
What is 37/2 of a kilometer in meters?
18500
Convert 44.82195ml to litres.
0.04482195
What is thirty-four fifths of a litre in millilitres?
6800
How many milliseconds are there in three fifths of a minute?
36000
How many kilograms are there in 762776.8 grams?
762.7768
What is thirty-four fifths of a century in decades?
68
What is 3/5 of a meter in centimeters?
60
What is 72217.14 millennia in months?
866605680
What is 9900.113ug in grams?
0.009900113
What is three tenths of a litre in millilitres?
300
How many months are there in seventy-seven fifths of a decade?
1848
How many minutes are there in 23/7 of a week?
33120
How many centimeters are there in one quarter of a kilometer?
25000
What is three tenths of a millimeter in micrometers?
300
How many nanometers are there in 67404.23 micrometers?
67404230
How many milliseconds are there in 6/25 of a minute?
14400
What is 174369.4 centuries in years?
17436940
Convert 7.720881ng to kilograms.
0.000000000007720881
What is 719.6575 millilitres in litres?
0.7196575
What is 27/5 of a hour in minutes?
324
What is seven quarters of a meter in centimeters?
175
What is 58894.1 nanograms in kilograms?
0.0000000588941
How many millilitres are there in 11/2 of a litre?
5500
How many centimeters are there in 12/25 of a kilometer?
48000
What is 0.4525025 centuries in millennia?
0.04525025
How many seconds are there in twenty-five halves of a hour?
45000
Convert 0.9781644 meters to micrometers.
978164.4
How many months are there in 3.028784 millennia?
36345.408
What is one fifth of a kilometer in meters?
200
How many millilitres are there in seven halves of a litre?
3500
How many millimeters are there in twenty-one fifths of a centimeter?
42
What is 780.688 tonnes in grams?
780688000
How many micrograms are there in eleven eighths of a milligram?
1375
How many micrograms are there in 376.7039 milligrams?
376703.9
What is 10/3 of a week in minutes?
33600
What is 4599.572 litres in millilitres?
4599572
Convert 825251.4 minutes to hours.
13754.19
How many micrograms are there in twenty-nine halves of a milligram?
14500
What is 68105.61l in millilitres?
68105610
What is 236.0266km in meters?
236026.6
What is five quarters of a second in milliseconds?
1250
What is 8776.34 grams in nanograms?
8776340000000
What is 9.029124ms in days?
0.00000010450375
How many millennia are there in 0.7525591 decades?
0.007525591
How many minutes are there in 37/5 of a hour?
444
How many minutes are there in 2/7 of a week?
2880
Convert 90120.46 litres to millilitres.
90120460
Convert 4473.6 kilometers to centimeters.
447360000
How many millilitres are there in 43/4 of a litre?
10750
What is 5/8 of a centimeter in micrometers?
6250
What is 0.8187603 weeks in microseconds?
495186229440
What is 0.3711725 centimeters in nanometers?
3711725
How many millilitres are there in one quarter of a litre?
250
What is 30.72132km in nanometers?
30721320000000
What is 39308.49 months in centuries?
32.757075
How many months are there in eighty-nine halves of a century?
53400
Convert 88.61522 hours to milliseconds.
319014792
How many weeks are there in 30.57768 days?
4.36824
What is 691391.2nm in micrometers?
691.3912
Convert 2045.106ms to nanoseconds.
2045106000
Convert 343658.2 kilometers to nanometers.
343658200000000000
How many kilograms are there in 3/40 of a tonne?
75
What is 0.9417524cm in kilometers?
0.000009417524
How many grams are there in 76/5 of a kilogram?
15200
How many millilitres are there in 792.0437l?
792043.7
How many months are there in 51/4 of a decade?
1530
What is 3/50 of a kilometer in millimeters?
60000
How many years are there in thirty-three fifths of a millennium?
6600
What is 18.017634ms in minutes?
0.0003002939
Convert 47.84239 minutes to seconds.
2870.5434
Convert 6.70534 decades to centuries.
0.670534
How many months are there in 1/15 of a century?
80
What is fourty-five eighths of a decade in months?
675
What is 0.696443mm in nanometers?
696443
How many centimeters are there in 8.268663 millimeters?
0.8268663
How many nanometers are there in three tenths of a micrometer?
300
What is 1/10 of a second in microseconds?
100000
How many months are there in four thirds of a year?
16
What is fifteen quarters of a centimeter in micrometers?
37500
How many milligrams are there in 34.7999 tonnes?
34799900000
How many milligrams are there in fourty-five eighths of a gram?
5625
What is 6.790794ns in microseconds?
0.006790794
How many milliseconds are there in 21/5 of a second?
4200
How many years are there in 18/5 of a decade?
36
How many kilometers are there in 151.5454mm?
0.0001515454
How many grams are there in five eighths of a kilogram?
625
How many millilitres are there in twenty-five halves of a litre?
12500
How many millilitres are there in five eighths of a litre?
625
Convert 5644.63 decades to months.
677355.6
How many years are there in 7/2 of a millennium?
3500
Convert 0.4945014 months to years.
0.04120845
How many micrometers are there in thirty-two fifths of a millimeter?
6400
How many micrometers are there in 11/2 of a millimeter?
5500
What is six fifths of a century in decades?
12
What is 3/25 of a litre in millilitres?
120
What is 29/5 of a kilometer in meters?
5800
How many days are there in 3/7 of a week?
3
How many nanograms are there in one twentieth of a milligram?
50000
Convert 2.357367 years to centuries.
0.02357367
How many millilitres are there in sixty-nine halves of a litre?
34500
What is 850.7863ug in nanograms?
850786.3
What is 1/5 of a week in minutes?
2016
How many microseconds are there in 13/4 of a millisecond?
3250
What is 387.7522kg in micrograms?
387752200000
How many kilograms are there in 89/2 of a tonne?
44500
How many centimeters are there in 3/5 of a meter?
60
What is 3517.075t in nanograms?
3517075000000000000
How many meters are there in 77359.57nm?
0.00007735957
What is seven eighths of a tonne in kilograms?
875
What is 2053335.6 months in decades?
17111.13
How many millilitres are there in three tenths of a litre?
300
What is 92.27858nm in meters?
0.00000009227858
How many milligrams are there in 52.44088g?
52440.88
What is seven fifteenths of a millennium in months?
5600
What is 6/5 of a hour in minutes?
72
How many centimeters are there in 1/4 of a meter?
25
Convert 2949.309cm to kilometers.
0.02949309
What is 5/4 of a week in hours?
210
How many centimeters are there in three tenths of a meter?
30
What is 0.439663 kilometers in centimeters?
43966.3
Convert 44.56687 years to millennia.
0.04456687
What is 21/5 of a tonne in kilograms?
4200
How many millimeters are there in 1.573548m?
1573.548
What is seven sixteenths of a century in months?
525
What is 849.5218ng in tonnes?
0.0000000000008495218
What is fifty-seven halves of a litre in millilitres?
28500
How many years are there in 2537.052 centuries?
253705.2
Convert 3.377591 tonnes to kilograms.
3377.591
Convert 0.2482969t to milligrams.
248296900
How many tonnes are there in 3780.832ng?
0.000000000003780832
How many millimeters are there in six fifths of a meter?
1200
How many years are there in 18/5 of a century?
360
How many centimeters are there in thirteen quarters of a meter?
325
Convert 506729.5 litres to millilitres.
506729500
Convert 2.841999 tonnes to kilograms.
2841.999
What is 0.5557988l in millilitres?
555.7988
How many tonnes are there in 4.150399 micrograms?
0.000000000004150399
Convert 31296.23 nanometers to kilometers.
0.00000003129623
Convert 933.7874ms to microseconds.
933787.4
How many nanograms are there in 87/4 of a microgram?
21750
How many minutes are there in 1.0843572 microseconds?
0.00000001807262
What is 1531.334m in millimeters?
1531334
What is 30.89255 days in seconds?
2669116.32
What is eleven eighths of a litre in millilitres?


*3 - 144*p**2 + 2304*p - 12288 = 0. Calculate p.
16
Find i, given that -5*i**2 - 70*i + 160 = 0.
-16, 2
Factor 2*x**3/21 - 1108*x**2/21 + 152344*x/21 + 309136/21.
2*(x - 278)**2*(x + 2)/21
Factor 2*h**3 - 348*h**2 + 15810*h - 57800.
2*(h - 85)**2*(h - 4)
Find k such that 5*k**4 - 85*k**3 + 400*k**2 - 320*k = 0.
0, 1, 8
Factor 3*o**3/2 + 66*o**2 - 2613*o/2 + 1239.
3*(o - 14)*(o - 1)*(o + 59)/2
Let -2*n**2 - 5*n - 3 = 0. Calculate n.
-3/2, -1
Determine r, given that 2*r**5/11 - 386*r**4/11 + 1524*r**3 + 184004*r**2/11 - 16766*r/11 - 183618/11 = 0.
-9, -1, 1, 101
Factor 2*g**2/7 - 32*g - 456/7.
2*(g - 114)*(g + 2)/7
Suppose j**4/5 + 11*j**3/5 - 106*j**2/5 - 44*j/5 + 408/5 = 0. What is j?
-17, -2, 2, 6
Factor -j**3 - 19*j**2 - 44*j + 64.
-(j - 1)*(j + 4)*(j + 16)
Solve -l**2 + 1 = 0 for l.
-1, 1
Find d such that 8*d**5 + 80*d**4 - 218*d**3 - 248*d**2 + 744*d - 288 = 0.
-12, -2, 1/2, 3/2, 2
Solve 2*r**4/15 + 12*r**3/5 + 134*r**2/15 + 12*r/5 - 208/15 = 0.
-13, -4, -2, 1
Factor 2*m**2 + 296*m/5 + 286/5.
2*(m + 1)*(5*m + 143)/5
Determine g, given that g**5/2 - 6*g**4 + 35*g**3/2 - 10*g**2 - 18*g + 16 = 0.
-1, 1, 2, 8
Find a such that -50*a**4/7 - 2540*a**3/7 - 23458*a**2/7 - 17560*a/7 - 3432/7 = 0.
-39, -11, -2/5
Factor z**2/8 - 3*z/2 + 5/2.
(z - 10)*(z - 2)/8
Factor 5*p**4 - 10*p**3 - 415*p**2 + 420*p + 8820.
5*(p - 7)**2*(p + 6)**2
What is r in -r**4/9 - 2*r**3/9 + r**2/3 + 4*r/9 - 4/9 = 0?
-2, 1
Suppose 5*c**5 - 40*c**4 + 115*c**3 - 140*c**2 + 60*c = 0. Calculate c.
0, 1, 2, 3
Determine z, given that -20*z**5 + 104*z**4 + 1836*z**3 - 8528*z**2 - 19456*z - 9216 = 0.
-9, -1, -4/5, 8
Factor 182*s**3/9 + 8*s**2/9.
2*s**2*(91*s + 4)/9
Factor -4*f**4 - 4*f**3 + 48*f**2 + 112*f + 64.
-4*(f - 4)*(f + 1)*(f + 2)**2
What is m in -5*m**5 + 55*m**4 - 125*m**3 + 25*m**2 + 130*m - 80 = 0?
-1, 1, 2, 8
Factor -2*p**2/5 + 812*p/5 + 814/5.
-2*(p - 407)*(p + 1)/5
Solve 5*h**4 + 125*h**3 + 330*h**2 - 20*h - 440 = 0 for h.
-22, -2, 1
Find l, given that -4*l**2 + 8620*l = 0.
0, 2155
Let -3*b**2 + 168*b = 0. What is b?
0, 56
Factor 4*q**4 - 2116*q**3.
4*q**3*(q - 529)
Find n such that 4*n**4 + 8*n**3 - 4*n**2 - 8*n = 0.
-2, -1, 0, 1
Factor -6*b**3 - 478*b**2 - 1226*b + 462.
-2*(b + 3)*(b + 77)*(3*b - 1)
Suppose 3*p**5 - 9*p**4 + 9*p**3 - 3*p**2 = 0. Calculate p.
0, 1
Factor i**5/7 + 18*i**4/7 + 97*i**3/7 + 144*i**2/7 + 64*i/7.
i*(i + 1)**2*(i + 8)**2/7
Suppose -p**2 + 6*p - 8 = 0. Calculate p.
2, 4
Solve -n**5/3 + 7*n**3/3 + 2*n**2/3 - 4*n - 8/3 = 0.
-2, -1, 2
Find b such that -8*b**5 + 6*b**4 + 18*b**3 + 4*b**2 = 0.
-1, -1/4, 0, 2
Factor -2*o**4 + 18*o**3 - 216*o.
-2*o*(o - 6)**2*(o + 3)
Let -4*g**4/3 + 26*g**3 - 130*g**2 + 176*g/3 = 0. What is g?
0, 1/2, 8, 11
Suppose 2*h**4/3 + h**3/3 - 26*h**2/3 + 11*h/3 + 4 = 0. What is h?
-4, -1/2, 1, 3
Suppose 3*p**5/7 + 54*p**4/7 + 6*p**3 - 24*p**2 - 261*p/7 - 102/7 = 0. What is p?
-17, -1, 2
Determine o so that -8*o**5 - 58*o**4 - 164*o**3 - 226*o**2 - 152*o - 40 = 0.
-2, -5/4, -1
Suppose -t**5 + 3*t**4 + 2*t**3 - 6*t**2 - t + 3 = 0. Calculate t.
-1, 1, 3
Factor -2*i**2 - 7096*i - 7094.
-2*(i + 1)*(i + 3547)
Factor -q**3 + 8*q**2 - q - 42.
-(q - 7)*(q - 3)*(q + 2)
Factor -u**3/3 - 8*u**2/3 - 17*u/3 - 10/3.
-(u + 1)*(u + 2)*(u + 5)/3
Solve 175*q**4/3 - 445*q**3/3 - 236*q**2/3 - 4*q = 0 for q.
-2/5, -2/35, 0, 3
Suppose 5*q**3 + 85*q**2 + 280*q + 260 = 0. Calculate q.
-13, -2
Factor 37538*t**2 - 5480*t/3 + 200/9.
2*(411*t - 10)**2/9
Determine z so that -35*z**4 + 80*z**3 + 155*z**2 - 260*z + 60 = 0.
-2, 2/7, 1, 3
Let n**3/2 + 7*n**2/2 + 4*n - 8 = 0. What is n?
-4, 1
Factor 2*f**2/7 + 12*f/7 + 16/7.
2*(f + 2)*(f + 4)/7
Factor -2*k**3 + 22*k**2 - 72*k + 72.
-2*(k - 6)*(k - 3)*(k - 2)
Let 5*q**2 + 265*q - 270 = 0. Calculate q.
-54, 1
Let 2*n**2 + 588*n + 43218 = 0. What is n?
-147
Find i such that -1146*i**3/5 - 3442*i**2/5 - 12*i/5 = 0.
-3, -2/573, 0
Factor -i**4/3 - 11*i**3/3 + 86*i**2/3 + 32*i.
-i*(i - 6)*(i + 1)*(i + 16)/3
Suppose -2*h**3/11 - 298*h**2/11 + 602*h/11 - 302/11 = 0. Calculate h.
-151, 1
Find i such that 2*i**5/7 + 4*i**4 + 20*i**3 + 312*i**2/7 + 306*i/7 + 108/7 = 0.
-6, -3, -1
Suppose -7*k**3/2 - 50*k**2 + 77*k/2 + 15 = 0. What is k?
-15, -2/7, 1
Determine c so that 4*c**4 - 21*c**3 - 4*c**2 + 21*c = 0.
-1, 0, 1, 21/4
Factor -2*u**4/13 + 10*u**3/13 - 16*u**2/13 + 8*u/13.
-2*u*(u - 2)**2*(u - 1)/13
What is y in 3*y**2 + 4662*y + 9312 = 0?
-1552, -2
Solve 3*t**4 - 135*t**3 + 1764*t**2 - 5532*t + 5040 = 0 for t.
2, 20, 21
Factor -5*b**3 - 60*b**2 - 55*b.
-5*b*(b + 1)*(b + 11)
Factor -2*n**3/5 + 36*n**2/5 - 118*n/5 + 84/5.
-2*(n - 14)*(n - 3)*(n - 1)/5
Factor 5*d**2/3 - 680*d + 2035/3.
5*(d - 407)*(d - 1)/3
Solve -5*k**4/4 - 8155*k**3/2 - 4434960*k**2 - 3219775525*k/2 - 6421827515/4 = 0 for k.
-1087, -1
Factor -c**3/2 - 11*c**2 - 21*c/2.
-c*(c + 1)*(c + 21)/2
Factor -2*a**2 + 38*a - 36.
-2*(a - 18)*(a - 1)
Determine d, given that 3*d**2 - 24*d + 36 = 0.
2, 6
Find v such that 72*v**4 - 114*v**3 + 21*v**2 + 30*v - 9 = 0.
-1/2, 1/3, 3/4, 1
Let -2*m**5/5 + 212*m**4/5 - 5826*m**3/5 + 11024*m**2/5 - 5408*m/5 = 0. What is m?
0, 1, 52
Factor -2*a**3 - 5640*a**2 - 5301600*a - 1661168000.
-2*(a + 940)**3
Factor -2*k**3/23 - 86*k**2/23 - 1040*k/23 - 2400/23.
-2*(k + 3)*(k + 20)**2/23
Let 5*v**3 + 50*v**2 + 155*v + 150 = 0. Calculate v.
-5, -3, -2
What is x in 2*x**2/3 - 106*x/3 + 408 = 0?
17, 36
Find b, given that 3*b**5 + 189*b**4/4 + 222*b**3 + 555*b**2/2 + 63*b - 147/4 = 0.
-7, -1, 1/4
Factor w**4/3 + 40*w**3/3 + 38*w**2/3 - 40*w/3 - 13.
(w - 1)*(w + 1)**2*(w + 39)/3
Find c such that 3*c**4/2 + 8*c**3 - 15*c**2/2 - 8*c + 6 = 0.
-6, -1, 2/3, 1
Solve 3*f**2 - 21*f - 54 = 0.
-2, 9
Factor -3*c**2 - 558*c + 561.
-3*(c - 1)*(c + 187)
Factor 4*m**2 - 100*m - 104.
4*(m - 26)*(m + 1)
Suppose -j**3/5 + 7*j**2/5 - 11*j/5 + 1 = 0. What is j?
1, 5
Factor 2*d**3 - 3116*d**2 + 1210560*d + 2433600.
2*(d - 780)**2*(d + 2)
Let 3*m**5/5 + 15*m**4 + 738*m**3/5 + 3564*m**2/5 + 8424*m/5 + 7776/5 = 0. Calculate m.
-6, -4, -3
Let 2*i**3/5 - 534*i**2/5 - 1098*i - 2770 = 0. Calculate i.
-5, 277
Let 2*k**5 + 4*k**4 - 8*k**3 - 4*k**2 + 6*k = 0. Calculate k.
-3, -1, 0, 1
Solve k**4/5 - 8*k**3 + 120*k**2 - 800*k + 2000 = 0.
10
Find j, given that j**5/5 - 4*j**4/5 - 13*j**3/5 + 4*j**2/5 + 12*j/5 = 0.
-2, -1, 0, 1, 6
Suppose 4*v**3/5 - 296*v**2/5 + 1876*v/5 = 0. Calculate v.
0, 7, 67
Find t such that -9*t**3 - 177*t**2 + 1464*t - 468 = 0.
-26, 1/3, 6
Determine r, given that -r**3 - 91*r**2 - 88*r + 180 = 0.
-90, -2, 1
Solve 6*h**3/17 - 46*h**2/17 + 74*h/17 + 30/17 = 0 for h.
-1/3, 3, 5
Find v such that 2*v**4/21 + 8*v**3/21 + 4*v**2/7 + 8*v/21 + 2/21 = 0.
-1
Let -5*g**4 - 255*g**3 - 3990*g**2 - 18260*g - 14520 = 0. What is g?
-22, -6, -1
Factor 4*i**2/3 - 26*i/3 - 14/3.
2*(i - 7)*(2*i + 1)/3
Find w, given that -2*w**3/13 - 196*w**2/13 - 386*w/13 - 192/13 = 0.
-96, -1
Factor 2*b**4/7 + 22*b**3/7 + 58*b**2/7 - 10*b - 300/7.
2*(b - 2)*(b + 3)*(b + 5)**2/7
Factor 21*n**2 + 780*n + 111.
3*(n + 37)*(7*n + 1)
Factor 28*q**2 + 188*q - 56.
4*(q + 7)*(7*q - 2)
Factor 25*l**4/4 - 45*l**3/2 + 61*l**2/4 + 9*l + 1.
(l - 2)**2*(5*l + 1)**2/4
Let 4*y**5 + 52*y**4 - 76*y**3 - 292*y**2 - 168*y = 0. Calculate y.
-14, -1, 0, 3
Solve -2*n**5/3 - 160*n**4/3 + 4*n**3/3 + 320*n**2/3 - 2*n/3 - 160/3 = 0.
-80, -1, 1
Factor b**4 + 8*b**3 + 23*b**2 + 28*b + 12.
(b + 1)*(b + 2)**2*(b + 3)
Factor -2*u**4 + 18*u**3 - 46*u**2 + 30*u.
-2*u*(u - 5)*(u - 3)*(u - 1)
Solve -q**3 + 22*q**2 - 65*q - 676 = 0 for q.
-4, 13
Factor -3*c**2/2 + 393*c - 2304.
-3*(c - 256)*(c - 6)/2
Factor 3*q**2/8 - 45*q/2 + 675/2.
3*(q - 30)**2/8
Let -b**4/7 - 8*b**3/7 + 19*b**2/7 - 10*b/7 = 0. Calculate b.
-10, 0, 1
Find b, given that 4*b**5/7 - 100*b**4/7 + 760*b**3/7 - 1080*b**2/7 - 4860*b/7 - 2916/7 = 0.
-1, 9
Suppose 5*o**5 - 30*o**4 + 70*o**3 - 80*o**2 + 45*o - 10 = 0. Calculate o.
1, 2
Factor 3*k**4 + 66*k**3 + 27*k**2 - 756*k.
3*k*(k - 3)*(k + 4)*(k + 21)
Let 5*h**3 + 30*h**2 - 305*h - 330 = 0. What is h?
-11, -1, 6
Solve 2*x**5 - 18*x**4 + 26*x**3 + 90*x**2 - 100*x = 0 for x.
-2, 0, 1, 5
Factor 16*l**3/9 - 350*l**2/9 + 1892*l/9 + 242/9.
2*(l - 11)**2*(8*l + 1)/9
Factor -4*m**4 + 3616*m**3 - 1079808*m**2 + 103505920*m + 899022848.
-4*(m - 304)**3*(m + 8)
Factor 5*x**2/2 + 75*x + 625/2.
5*(x + 5)*(x + 25)/2