(y) = -31*y**3 + y**2 + 2*y - 2. What is t*u(g) + 3*j(g)?
-31*g**3 - g**2
Let x(p) = -p + 1. Suppose -31*w + 30*w - 7 = 2*f, -w = 4*f + 9. Let c(s) = s**3 - 22*s**2 + 7*s - 4. Determine f*c(d) - 4*x(d).
-d**3 + 22*d**2 - 3*d
Let n(c) = 34*c - 19. Let p(w) = -w. Determine -n(i) - 2*p(i).
-32*i + 19
Let m(w) = -7*w - 22. Let p be (-1008)/(-162) - (-35)/(-15)*6/63. Let s(c) = 6*c + 21. Determine p*s(h) + 5*m(h).
h + 16
Let r(n) = 15*n**2 - 2*n - 749. Let u(b) = 38*b**2 - 5*b - 1498. Calculate 5*r(k) - 2*u(k).
-k**2 - 749
Let p(f) = 6*f**3 - 11*f**2 + 9. Let h be -8 + -10 + 21 + (1 - 2). Let q(t) = -t**3 + 2*t**2 - 2. Determine h*p(c) + 11*q(c).
c**3 - 4
Let m(o) be the third derivative of -o**4/12 - 2*o**3/3 - 175*o**2. Suppose 0 = q - f, -5*q - 15 - 25 = 5*f. Let b(d) = -4*d - 7. Give q*b(h) + 7*m(h).
2*h
Let o(m) = -49*m + 479. Let g(n) = -57*n + 478. Give -6*g(d) + 7*o(d).
-d + 485
Let k(j) = -5*j**2 + 84*j + 14. Let c(q) = q**3 - q**2 + 14*q + 1. Let d(r) = 6*c(r) - k(r). Let x(n) = 5*n**3 - n**2 - 9. What is -3*d(v) + 4*x(v)?
2*v**3 - v**2 - 12
Let n be (-6837)/1032 + ((-11)/8 - -2). Let j(r) = 13*r + 81. Let k(y) = 7*y + 41. Give n*j(c) + 11*k(c).
-c - 35
Let b(x) be the second derivative of -x**4/4 + x**3/2 - x**2 - 3*x + 151. Let q(n) = -12*n**2 + 13*n - 9. Calculate -26*b(z) + 6*q(z).
6*z**2 - 2
Let l(v) = -714*v**3 + 4*v**2 - 2*v - 2. Let q(h) = -3*h**3 - h**2 + 1. Determine l(n) + 2*q(n).
-720*n**3 + 2*n**2 - 2*n
Let q(s) = 50*s**2 + 20*s - 15. Let p(d) = -47*d**2 - 17*d + 13. Determine -6*p(l) - 5*q(l).
32*l**2 + 2*l - 3
Let l(j) = -5*j. Let i(y) = -4*y. Let v = 41 + -3. Let q = 41 - v. What is q*i(c) - 2*l(c)?
-2*c
Let y(d) = d**2 + 15. Let s(j) = j**2 - 2*j + 108. Give -s(a) + 3*y(a).
2*a**2 + 2*a - 63
Let p(x) = -3*x + 11. Let o(r) = -70*r + 38. Give -o(l) + 3*p(l).
61*l - 5
Let g(n) = -1189*n**3 - 7. Let p(u) = 1. Give g(k) + 5*p(k).
-1189*k**3 - 2
Let r(g) = -85*g + 6. Let a(m) = 85*m - 1. Calculate -4*a(j) - 3*r(j).
-85*j - 14
Let r(v) = v**2 + v. Let f = 26567 - 26563. Let y(j) = -j**2 - 3*j. Calculate f*y(s) + 9*r(s).
5*s**2 - 3*s
Let s(n) = -4*n + 15. Let h = -170 + 170. Suppose 21 = -7*i + 9*i - 3*q, h = 4*i - 4*q - 36. Let o(l) = -2*l + 7. Calculate i*s(u) - 13*o(u).
2*u - 1
Let n(i) = -6*i**3 - 16*i**2 + i + 9. Let j(u) = -3*u**3 - 7*u**2 + u + 4. What is -7*j(z) + 3*n(z)?
3*z**3 + z**2 - 4*z - 1
Let p(q) = -q. Let f(r) be the first derivative of -5*r**2/2 - r - 157. Suppose 6*u = 18 + 6. Let c be (u + (-102)/27)*9. What is c*p(n) - f(n)?
3*n + 1
Let u(r) = -2*r**2 - 2*r + 3. Let y(s) = 33*s - 36*s - 3*s**2 - 853 + 858. What is 7*u(a) - 5*y(a)?
a**2 + a - 4
Let t(q) = -6*q**3 + 17*q - 3. Suppose -x + 54 = 5*u, 8*u + 58 = 13*u - 3*x. Let d(y) = -2*y**3 + 6*y - 1. Determine u*d(b) - 4*t(b).
2*b**3 - 2*b + 1
Let m = -89 - -127. Suppose 0 = -30*h + m*h + 64. Let c(a) = -4*a + 3. Let s(d) = -11*d + 8. What is h*c(r) + 3*s(r)?
-r
Let z(w) = 1 + 2*w - 2*w - w. Let c = 1092 + -1089. Let t(g) = g + 1. Give c*t(m) - z(m).
4*m + 2
Let n(a) = -22*a + 6. Let x(l) = l - 6. Let s(h) = 19*h + 7. Let m(w) = s(w) + 2*x(w). Give 6*m(g) + 5*n(g).
16*g
Let w(n) = -n + 1. Let u(p) = 260*p - 4. Calculate u(r) + w(r).
259*r - 3
Let x = -1812 + 2553. Let h = 1389 - x. Let s be (h/28)/(-6) + 2/(-14). Let u(a) = -3*a**2 - 7*a - 2. Let j(t) = 2*t**2 + 4*t + 1. Give s*u(b) - 7*j(b).
-2*b**2 + 1
Let r(z) = 199*z**3 + 4*z**2 + 8*z - 7. Let o(a) = -999*a**3 - 21*a**2 - 42*a + 36. Calculate 4*o(q) + 21*r(q).
183*q**3 - 3
Let s(c) = 24*c**2 - 146*c + 71. Let a(j) = 13*j**2 - 73*j + 39. Give -11*a(d) + 6*s(d).
d**2 - 73*d - 3
Let r(k) = 32*k**3 - 46*k**2 - 12. Let p(l) = 34*l**3 - 45*l**2 - 15. Calculate 4*p(q) - 5*r(q).
-24*q**3 + 50*q**2
Let p(n) be the second derivative of -3*n**5/20 - n**4/12 - 7*n**3/6 - 5*n**2/2 - 7*n + 29. Let o(q) = q**3 + 3*q + 2. Calculate -5*o(g) - 2*p(g).
g**3 + 2*g**2 - g
Let l(x) = -6*x**2 + 6*x - 2. Let m(f) be the third derivative of -13*f**5/60 + f**4/2 - 5*f**3/6 - 3436*f**2. Give 9*l(n) - 4*m(n).
-2*n**2 + 6*n + 2
Let f(o) = 7*o. Suppose 0 = 6*n - 2*n - 2*m + 6, 3*n = 4*m - 2. Let z(k) be the first derivative of 7*k**2/2 + 2443. Determine n*f(u) + 3*z(u).
7*u
Let c(t) = 21*t**2 - 11*t + 28. Let i(m) = 62*m**2 - 33*m + 74. Determine 8*c(g) - 3*i(g).
-18*g**2 + 11*g + 2
Let t(l) = 20*l**2 - 26*l - 7. Let a(f) = 23*f**2 - 28*f - 7. Determine 6*a(s) - 7*t(s).
-2*s**2 + 14*s + 7
Let b(d) = -9*d**2 + 4*d + 2. Let g(z) = 28*z**2 - 12*z + 4985. Determine -3*b(p) - g(p).
-p**2 - 4991
Let m(l) = 6*l**3 - 21*l**2 + 5*l + 3. Let r(t) = -31*t**3 + 109*t**2 - 25*t - 16. What is 11*m(c) + 2*r(c)?
4*c**3 - 13*c**2 + 5*c + 1
Let w(o) = -572*o - 2865. Let k be w(-5). Let j(s) = -5*s - 12. Let c(v) = 9*v + 23. Calculate k*j(x) - 3*c(x).
-2*x - 9
Let i(m) = -m**2 - m. Let q(y) = -4*y**3 - 2*y**2 - 7*y. Let a(p) = -p**3 - 5*p**2 + 68*p - 7. Let f be a(6). Calculate f*i(b) - q(b).
4*b**3 - 3*b**2 + 2*b
Let q(f) = 276*f**2 + 10*f - 17. Let c(z) = -275*z**2 - 11*z + 19. Calculate -10*c(m) - 11*q(m).
-286*m**2 - 3
Let y(w) = -w - 1. Let u(t) = 2*t**2 - 7*t - 6. Let s be 603/45 - (1 - (-8)/(-5)). Suppose s*d = 10*d + 24. Determine d*y(o) - u(o).
-2*o**2 + o
Let j(a) = 194*a**2 - 11*a - 3. Let v(o) = -97*o**2 + 6*o + 2. Calculate 4*j(k) + 7*v(k).
97*k**2 - 2*k + 2
Let v(m) = -m**3 - 28*m**2 + 128*m - 2. Let j be v(-32). Let b(r) = -r**2 + r - 21. Let x(f) = 4. Determine j*b(s) - 11*x(s).
2*s**2 - 2*s - 2
Let d = -79 + 83. Let w(o) = 5 + 1 - d - 1. Let p(m) = -m**2 - m - 7. Determine p(b) + 6*w(b).
-b**2 - b - 1
Let w(l) = -5*l**2 + 7*l + 2. Let j = -13340 - -13344. Let i(n) be the third derivative of n**5/20 - n**4/6 - n**3/6 + n**2. What is j*w(v) + 7*i(v)?
v**2 + 1
Let k(o) = 2*o**3 - o**2 - 7. Let m be k(0). Let y be 2*(-7)/(-4)*2. Let x(p) = -4*p - y - 9*p + 21*p. Let z(s) = -7*s + 6. Give m*z(t) - 6*x(t).
t
Let r(a) = 12*a**3 + 22*a**2 - 182*a - 11. Let k(c) = 5*c**3 + 8*c**2 - 61*c - 4. Determine 11*k(x) - 4*r(x).
7*x**3 + 57*x
Suppose 2*z - 2*u = 48, 2*u = -0*u + 2. Let i(s) = -18*s + 1 + z*s - s. Let w(a) = -5*a. What is 2*i(o) + 3*w(o)?
-3*o + 2
Let p(q) = 12*q - 6*q - 9*q - q**3 + 1 + 2*q**2. Let b = 105 + -73. Let s(j) = -2*j + b + 35 - 66 + 2*j**2. Calculate 2*p(n) - 3*s(n).
-2*n**3 - 2*n**2 - 1
Let g(q) = 69*q + 4139. Let l be g(-60). Let j(m) = -m**2 - m + 1. Let n(k) = 1. What is l*n(s) - j(s)?
s**2 + s - 2
Let b(o) = 104*o + 19. Let p(i) = 83*i + 19. Let l(x) = -4*b(x) + 5*p(x). Let z(c) = 5. What is -2*l(v) + 9*z(v)?
2*v + 7
Let q(x) = x - 1. Suppose -9*w - 4746 = -23*w. Let b = -338 + w. Let h(p) = -5*p**2 + 2*p - 3. What is b*h(k) - 3*q(k)?
-5*k**2 - k
Let a(b) = 1001*b - 663. Let h(g) = 58*g - 39. Give 3*a(p) - 52*h(p).
-13*p + 39
Let c(g) = 2*g**2 - 890*g - 6. Let p(k) = -4*k**2 + 1832*k + 14. Calculate 9*c(j) + 4*p(j).
2*j**2 - 682*j + 2
Let k(t) = 1493*t + 39. Let b(u) = 213*u + 5. Determine -15*b(f) + 2*k(f).
-209*f + 3
Let i(f) be the second derivative of -f**5/20 - f**3/6 - 1829*f. Let n(v) = -22*v**3 - 14*v. Calculate 56*i(r) - 4*n(r).
32*r**3
Let w(m) = 140*m + 35. Let z(j) = -23*j - 6. Determine 4*w(f) + 25*z(f).
-15*f - 10
Let r(u) = -2023*u**2 - 19*u - 5. Let n(k) = -978*k**2 - 9*k - 2. Give 9*n(c) - 4*r(c).
-710*c**2 - 5*c + 2
Let t(w) = 2*w**2 - 2*w - 2. Suppose 0 = g + 1007 - 384. Let y = g - -620. Let f(v) = v**3 + v**2 - v - 1. What is y*t(i) + 6*f(i)?
6*i**3
Let r(c) = 7*c**2 + 12*c + 47. Let m(f) = -15*f**2 - 28*f - 94. Give -4*m(d) - 9*r(d).
-3*d**2 + 4*d - 47
Let h(k) = -10*k**3 + 4*k**2 - 543*k. Let l(j) = -13*j**3 + 5*j**2 - 545*j. Give 5*h(t) - 4*l(t).
2*t**3 - 535*t
Let k(g) = -g**2 + 7*g + 2. Let x = 4 + -1. Let t(m) = 844*m**2 + 53*m - 26*m + 3 - 20*m - 845*m**2. Give x*k(y) - 2*t(y).
-y**2 + 7*y
Let h(m) = -9*m + 1. Let z(a) = 4 + 2 - 21 + 37*a + 2 + 10. Calculate 9*h(g) + 2*z(g).
-7*g + 3
Let g(z) = 52*z**3 + 15*z - 69. Let i(v) = 27*v**3 + 6*v - 35. Calculate -2*g(y) + 5*i(y).
31*y**3 - 37
Let h(v) = -v**2 + 1. Let z(c) = 53 - 49 - 2*c**3 - 166*c**2 + 165*c**2. Give -2*h(d) + z(d).
-2*d**3 + d**2 + 2
Suppose -l + 1860 = 9*l. Let n = l + -190. Let g(h) = -6*h**2 + 2*h + 5. Let w(r) = -5*r**2 + 2*r + 4. What is n*g(o) + 5*w(o)?
-o**2 + 2*o
Let r(x) be the second derivative of -x**3/2 + 4353*x. Let