2*d - 11
Let s(t) = 6*t**3 - 549*t**2 + 4. Let r(y) = 7*y**3 - 549*y**2 + 5. Calculate 4*r(l) - 5*s(l).
-2*l**3 + 549*l**2
Suppose -47*i + 29*i = 32*i - 150. Let a(m) = 4*m. Let l(y) = -8*y + 3*y**2 - 1 + 3*y - 2*y**2. Determine i*a(x) + 2*l(x).
2*x**2 + 2*x - 2
Let g(d) = 3*d**2 + 8*d. Let m(u) be the third derivative of u**5/60 + u**4/8 - 63*u**2 + 2. Give 3*g(t) - 8*m(t).
t**2
Suppose -2 = -4*k + 3*k. Let s(g) = -1. Let o(d) = -2*d + 3*d - 1079 + 1076. Determine k*o(u) - 10*s(u).
2*u + 4
Let s(m) = -m**3 - m. Let l = 16 - 14. Suppose -4 + 0 = l*p. Let u be 14/21*(-3)/p. Let q(b) = -7*b**3 - 4*b. Give u*q(o) - 4*s(o).
-3*o**3
Let r(m) = -5*m + 3. Let k(j) be the third derivative of 5*j**4/8 - 5*j**3/3 + 32*j**2 - 3*j. Give 2*k(b) + 7*r(b).
-5*b + 1
Let u(b) = 6*b**3 + 5*b**2. Let m = -84 - -86. Let p(z) = -13*z**3 - 3*z**2 + 8*z**3 + 7*z**m + 10*z**3. Give -5*p(c) + 4*u(c).
-c**3
Let i(n) = 1. Suppose 4 - 5 = -x. Let v(m) be the second derivative of -m**3/6 + m**2/2 + 6*m - 17. Determine x*v(r) + i(r).
-r + 2
Let w(x) = -20*x**3 - 11*x**2 - 9*x. Let h(f) = -7*f**3 - 4*f**2 - 3*f. Let r(d) = -d**3 + 32*d**2 - 60*d - 17. Let a be r(30). What is a*h(i) + 6*w(i)?
-i**3 + 2*i**2 - 3*i
Let m(w) = 363*w**2 - 2*w. Let g(i) = -22140*i**2 + 123*i. What is -2*g(k) - 123*m(k)?
-369*k**2
Let v(i) = -139*i**3 - 8*i**2 + 37*i - 2. Let a(c) = -185*c**3 - 11*c**2 + 49*c - 3. Give 8*a(b) - 11*v(b).
49*b**3 - 15*b - 2
Let q(z) = 2*z - 5. Let m(r) = r - 2. Let c be -2 + 2 + -16 + 2 - -3. Let u = -3 + c. Give u*m(d) + 6*q(d).
-2*d - 2
Suppose 22*v = 13*v - 72. Let z(u) = 5*u**3 + 14*u**2 + 12*u - 8. Let w(o) = 2*o**3 + 5*o**2 + 4*o - 3. Calculate v*w(l) + 3*z(l).
-l**3 + 2*l**2 + 4*l
Let x(o) = -13*o**2 + 85*o - 24. Let w(f) = -6*f**2 + 43*f - 11. Determine -9*w(u) + 4*x(u).
2*u**2 - 47*u + 3
Let n(u) = -3*u + 5. Suppose 0 = 159*p - 167*p - 88. Let i(t) = -16*t + 26. Give p*n(k) + 2*i(k).
k - 3
Let b(z) = -2*z**2 - 3. Let j(s) = -s**2 + 13 - s**2 - 12 + 3*s**2. Determine -b(o) - 3*j(o).
-o**2
Let l(q) = -6*q - 37. Let z(w) = -2*w - 13. What is 6*l(o) - 17*z(o)?
-2*o - 1
Let j(t) = 6*t**3 - 54*t**2 + 15*t + 6. Let v(f) = f**3 + 2*f + 1. Calculate j(z) - 5*v(z).
z**3 - 54*z**2 + 5*z + 1
Let r = -15 - -25. Let u be 18/45 + (-24)/r. Let k(f) = 0 - 2 + 47*f**2 - 97*f**2 + 47*f**2. Let p(q) = -q**2 - 1. Determine u*p(s) + k(s).
-s**2
Let v(w) = 20*w**3 + 32*w**2. Let g(m) = -7*m**3 - 11*m**2. Suppose -127 - 17 = -24*s. Determine s*v(n) + 17*g(n).
n**3 + 5*n**2
Let b(u) = u**3 + u**2 - 2. Let y(x) be the first derivative of 3*x**4/2 + 5*x**3/3 - 10*x - 72. Calculate 11*b(k) - 2*y(k).
-k**3 + k**2 - 2
Let o(c) be the first derivative of -7*c**2 - 22*c - 16. Let z(x) = 2*x + 3. Let f be (19 - 20) + 1 + 1 + 5. Determine f*o(u) + 44*z(u).
4*u
Suppose -566 = 125*t + 59. Let i(r) = 6*r**2 - r + 5. Let x(b) = 7*b**2 + 6 - b + 6 - 6. Calculate t*x(l) + 6*i(l).
l**2 - l
Let b(t) = 43*t**3 + 5. Let u(y) = 86*y**3 + y + 11. Give -5*b(n) + 2*u(n).
-43*n**3 + 2*n - 3
Let x = 276 - 279. Let t(z) = -5*z + 1. Let d(o) = 4*o - 1. What is x*d(y) - 2*t(y)?
-2*y + 1
Let y(b) = 3*b**2 + 2*b + 3. Let o(m) = -m**2 - m - 1. Let n(v) = 2*v**2 - 6*v - 4. Let w be n(3). Suppose -2*q = -0 + 2. Calculate q*y(r) + w*o(r).
r**2 + 2*r + 1
Let n(c) = 13*c**3 - 5*c**2 + 5*c + 5. Let a(w) = -22 - 104*w - 117 + 35 - 85*w**3 + 104*w**2 - 188*w**3. Calculate -5*a(l) - 104*n(l).
13*l**3
Let w(c) = -2*c**2 + 5*c - 2. Let n(o) = -5*o**2 + 11*o - 4. Let r = -5 - -2. Let m(q) = -q**3 - 4*q**2 + 9*q - 11. Let s be m(-6). What is r*n(g) + s*w(g)?
g**2 + 2*g - 2
Suppose 3*l = 3*j - 114, -3*l - 5 = 4. Let y(z) = -z + 1. Let b(o) = 4*o**2 - 7*o + 7. What is j*y(r) - 5*b(r)?
-20*r**2
Let f(n) = 2*n**3 - n**2 + n + 1. Let d(j) = -2*j**3 - 67*j**2 - 2*j - 2. Give d(m) + 2*f(m).
2*m**3 - 69*m**2
Let i(m) = 37*m. Let r(u) = -187*u. Determine 11*i(y) + 2*r(y).
33*y
Let o(a) = -8*a**2 + 2*a. Let u(v) = 7*v**2 - 2*v. What is 6*o(z) + 5*u(z)?
-13*z**2 + 2*z
Let l(r) be the first derivative of -5*r**3 - 19. Let j(v) = -v**2. Determine 9*j(y) - l(y).
6*y**2
Suppose 0 = 16*d - 17*d. Suppose d = -5*n - i + 3, 0 = -3*i + i - 4. Let k = 2 - 0. Let r(g) = -g - 1. Let w(c) = 4. Give k*r(p) + n*w(p).
-2*p + 2
Let x(q) = -q**3 - 10*q**2 - 5*q + 9. Let k(s) = -s**3 - 17*s**2 - 11*s + 17. Determine 3*k(y) - 5*x(y).
2*y**3 - y**2 - 8*y + 6
Suppose 5*k = 2*n - 13, 4*k + 7 = 4*n - 1. Let c(u) = -u. Let s(p) = -p - 2. Calculate n*s(l) - 4*c(l).
5*l + 2
Let x(c) = -2*c**2 + 5*c + 5. Let f(j) be the first derivative of -11 - 2*j**2 + 1/3*j**3 - 4*j. Determine 5*f(y) + 4*x(y).
-3*y**2
Let y(w) = 7*w**3 - 8*w**2 - 6*w + 6. Suppose 7*j = 5*j + 14. Let b(n) = 8*n**3 - 9*n**2 - 7*n + 7. Give j*y(d) - 6*b(d).
d**3 - 2*d**2
Let a(z) be the first derivative of z**3/3 + z**2/2 + z - 38. Let t(w) = 3*w**3 + 6*w**2 + 6*w + 6. What is -6*a(n) + t(n)?
3*n**3
Let a(t) = 262*t**2 - t + 15. Let g(p) = 525*p**2 - 2*p + 37. Give -5*a(i) + 2*g(i).
-260*i**2 + i - 1
Let b(u) = 2*u - 2. Let g(d) be the first derivative of -d**3/3 + d**2 - 2*d - 325. Determine -4*b(q) + 3*g(q).
-3*q**2 - 2*q + 2
Let d(q) = 3*q**2 + 6*q + 14. Let f be 6/((27/60)/3). Let c be (f - 4)*(-3)/(-4). Suppose -c = -3*w - 3. Let h(k) = -k**2 - 2*k - 5. Calculate w*h(i) + 3*d(i).
i**2 + 2*i + 2
Let o(n) = -6*n**3 - n**2 + 22*n + 2. Let x(j) = -18*j**3 - 4*j**2 + 65*j + 7. What is -7*o(m) + 2*x(m)?
6*m**3 - m**2 - 24*m
Let u(i) = 3*i - 7. Let r(x) = x + 1. Let b(h) = -4*h + 25. Let j(t) = -b(t) + 5*r(t). Determine 4*j(n) - 11*u(n).
3*n - 3
Let l(o) = 17*o + 4. Let z be l(2). Suppose -3*u - 2*u - 4*c + z = 0, 4*u - 5*c = 14. Let j(p) = -1 + 0 - u*p + 4 - 2. Let x(f) = f. Determine -j(v) - 4*x(v).
2*v - 1
Let p(i) = 6*i - 10. Let a(b) = 5*b - 1. Let v(c) = 3*c + 2. Let u(m) = a(m) - v(m). Determine 3*p(r) - 8*u(r).
2*r - 6
Let b(y) = 4*y**2 + 85*y - 5. Let p(j) = -6*j**2 - 127*j + 7. Determine -7*b(v) - 5*p(v).
2*v**2 + 40*v
Let f(o) = 1 - 1 + o + 1. Let u(w) = 641 - 1290 - 9*w + 641. Give 40*f(a) + 5*u(a).
-5*a
Let x(c) = -c**2 + 7*c - 1. Let y(d) = -3 + 85*d + 90*d - 172*d + 3. Determine -2*x(v) + 5*y(v).
2*v**2 + v + 2
Let q(l) = 20*l**2 - 52*l**2 - 5*l**3 + 4*l**3 + 31*l**2. Let v(t) = -4*t**3 - 4*t**2 - 2*t. Give 2*q(a) - v(a).
2*a**3 + 2*a**2 + 2*a
Let t = 10 - 45. Let h be 504/t + 6/15. Let v(b) = 4*b + 7. Let d(m) = -2*m - 3. What is h*d(u) - 6*v(u)?
4*u
Let h(g) = -2*g + 3. Let b(y) be the second derivative of y**3/6 - y**2/2 - 46*y. Give -9*b(c) - 4*h(c).
-c - 3
Let q(y) = -66*y**3 + 6*y**2. Let b(k) = 67*k**3 - 7*k**2. Calculate -4*b(h) - 5*q(h).
62*h**3 - 2*h**2
Let i(d) = 45*d - 1. Let s(g) = 1. What is i(r) + 4*s(r)?
45*r + 3
Let p(d) = -d**3 - 3*d - 3. Let i(n) be the third derivative of n**6/120 + n**4/12 + n**3/3 + 4*n**2 - 24*n. Determine 6*i(f) + 4*p(f).
2*f**3
Let g(h) = -2*h + 1. Let c(y) = -4*y - 2. Calculate c(u) + 5*g(u).
-14*u + 3
Let c(v) = 130*v**3 - 40*v**2 + 40. Let u(i) be the first derivative of 5*i**4/2 - i**3 + 3*i - 212. Determine 3*c(p) - 40*u(p).
-10*p**3
Let c(t) be the second derivative of -t**5/4 + t**4/2 - t**3/3 - 2*t**2 - 48*t. Let j(p) = -p**3 + p**2 - 1. What is -c(n) + 4*j(n)?
n**3 - 2*n**2 + 2*n
Let o(q) = -421*q**2 - 20. Let i(t) = -t**2 - 3. What is -6*i(g) + o(g)?
-415*g**2 - 2
Let r(x) = 59*x**3 + 9*x**2 + 4*x. Let c(k) = -15*k**3 - 2*k**2 - k. Determine -9*c(w) - 2*r(w).
17*w**3 + w
Let f(b) be the first derivative of b**3/3 + b**2/2 + b - 676. Let d(r) be the second derivative of -7*r**4/12 - r**3 - 3*r**2/2 + r. Determine d(c) + 5*f(c).
-2*c**2 - c + 2
Let w(t) = 5*t - 293. Let m(d) = 18*d - 878. What is 2*m(b) - 7*w(b)?
b + 295
Let s(t) = t + 6*t + 0*t + 5 - 2*t. Let u(w) = -6*w - 6. Suppose 3*a - 4*a + 4 = 0. Let o(f) = -2*f + 2. Let p be o(a). Determine p*u(q) - 7*s(q).
q + 1
Let w(q) = -65*q + 38. Let r(y) = 160*y - 94. Give 5*r(b) + 12*w(b).
20*b - 14
Let p(b) = 12*b + 15. Let s(h) = -47*h - 61. What is -9*p(n) - 2*s(n)?
-14*n - 13
Let c(n) be the second derivative of -n**3/6 + n**2/2 + 18*n. Let k(i) = 10*i - 12. Suppose 22 = -16*l + 17*l. Calculate l*c(o) + 2*k(o).
-2*o - 2
Let u(s) = 3*s - 1 + 7*s - 5*s. Let y(b) = 6*b - 1. Suppose 2*w - 6 = -0. Suppose -20 = 2*i - 7*c + 2*c, -w*c = 4*i + 14. What is i*u(o) + 4*y(o)?
-o + 1
Let g