*3
Let i(g) = 5*g - 13. Suppose -3*a + 28 = -5*d, 7*a + 3*d = 2*a + 24. Let k(b) = 6*b - 14. Give a*k(w) - 7*i(w).
w + 7
Let l(m) = 8*m + 81. Let a be l(-10). Let g(b) = -2*b**2 - 12. Let f(i) be the first derivative of i + 2. What is a*g(j) + 12*f(j)?
-2*j**2
Let v(d) = -34*d + 2. Let u(n) = -103*n + 6. Give 6*u(a) - 17*v(a).
-40*a + 2
Let h(a) = -4*a**3 + 2*a - 2. Let w(v) be the second derivative of -3*v**5/5 + 7*v**3/6 - 7*v**2/2 - 3*v. Let q = -629 - -631. Calculate q*w(z) - 7*h(z).
4*z**3
Let t(i) = -2*i - 8. Let c(h) = -h - 5. Determine 11*c(o) - 6*t(o).
o - 7
Suppose 4*m - 2*m - 4 = 0. Suppose -3*a = -4*u - 15, 4*a - 4 = m*u + 6. Let c(o) = -4*o + 2*o - 3*o + 471 - 467. Let x(j) = j - 1. What is a*c(l) + 4*x(l)?
-l
Let p(n) = -n**3 - 10*n**2 + 10*n - 6. Let t be p(-11). Let c(i) = 4*i. Let b(u) = 3*u + 5. Let a be b(-3). Let g(r) = 4*r. Determine a*c(v) + t*g(v).
4*v
Let j(n) = 37*n - 3. Let d(v) = -185*v + 16. Calculate -2*d(h) - 11*j(h).
-37*h + 1
Let s(t) be the first derivative of t**2/2 + 2*t + 609. Let p(y) = 1. Calculate 5*p(m) - 4*s(m).
-4*m - 3
Let j = -9 + 7. Let y(m) = m - 6. Let t(u) = u - 4. Let v(z) = -5*t(z) + 3*y(z). Let k(x) = 4*x - 5. Let n = -3 - 2. Calculate j*k(d) + n*v(d).
2*d
Let t(y) = -2*y**3 + 5*y**2 + 5*y - 5. Let w(o) = -3 + 4*o**2 + 13*o**3 - 14*o**3 + 3*o - o**2. Calculate -3*t(p) + 5*w(p).
p**3
Let h(u) = -629*u**2 + 221. Let f(c) = 17*c**2 - 6. Let b = -1273 + 1052. What is b*f(i) - 6*h(i)?
17*i**2
Let k(g) = -4*g - 2. Let z(x) = x. Suppose -15 = -24*y + 9. Calculate y*k(u) - 3*z(u).
-7*u - 2
Suppose 0*f = -5*f. Let a(p) = -11*p + 16 + 6*p**2 - 5 + f. Let y(d) = d**2 - 2*d + 2. What is 2*a(g) - 11*y(g)?
g**2
Let s(t) = 11*t**2 - 4*t - 2. Let f(u) = 1209*u**2 - 442*u - 221. Determine -6*f(h) + 663*s(h).
39*h**2
Let i(l) = 2*l - 2. Let b(w) = -462*w + 308. Determine -b(h) - 154*i(h).
154*h
Let w(y) = 2*y**3 - 2*y**2 + 4. Let r(c) = c**3 - 8*c**2 + 13*c - 10. Let s be r(6). Let x(d) = d**3 - d**2 + 1. Determine s*x(f) + w(f).
-2*f**3 + 2*f**2
Suppose m = -5*h - 5 - 28, 0 = -5*h - 5*m - 45. Let b(n) = -2*n**2 - 15*n - 11. Suppose -65 = -3*f - 2*f. Let s(q) = -q**2 - 7*q - 5. What is f*s(c) + h*b(c)?
-c**2 - c + 1
Let o(z) = 13*z**2 - 4. Let a(s) be the third derivative of -5*s**5/12 + 3*s**3/2 + 263*s**2. Calculate -4*a(l) - 9*o(l).
-17*l**2
Let o(t) = -t**3 + 4*t + 2. Let k(j) = j**3 - 3*j - 2. Let a(n) = -26*n**2 - 157*n - 9. Let i be a(-6). Give i*o(q) - 4*k(q).
-q**3 + 2
Let q(f) be the second derivative of f**4/3 - 7*f**3/6 + 147*f. Let d(j) be the second derivative of -j**4/12 + j**3/3 - j. Calculate 22*d(p) + 6*q(p).
2*p**2 + 2*p
Let z(d) = -25*d + 6. Let u(i) = 9*i - 2. Let n(f) = -8*u(f) - 3*z(f). Let x(p) = 4*p - 2. Determine 3*n(t) - 2*x(t).
t - 2
Let c(v) = 8*v**3 + 6*v**2 + 6*v - 6. Suppose -4*o = 3*l - 0*l + 19, -5*l + 7 = -3*o. Let u = -207 - -213. Let w(g) = g**3 + g**2 + g - 1. Give l*c(t) + u*w(t).
-2*t**3
Let v(s) = -5*s**3 + 6*s**2 - 10*s + 6. Let f(z) = 14*z**3 - 17*z**2 + 29*z - 17. Calculate 6*f(d) + 17*v(d).
-d**3 + 4*d
Let k(v) = -165*v**2 - 4*v - 4. Let t(f) = 6765*f**2 + 165*f + 165. Give -165*k(y) - 4*t(y).
165*y**2
Let g(o) = -6*o**3 + 26*o**2 - 12. Let b(v) = v**3 - 2*v**2 + 1. What is -12*b(c) - g(c)?
-6*c**3 - 2*c**2
Let k = 5684 - 5689. Let d(t) be the second derivative of t**4/3 - t**3/6 - 3*t**2 - t. Let i(r) = -3*r**2 + r + 5. Give k*d(m) - 6*i(m).
-2*m**2 - m
Let t(u) = 14*u**3 - 13*u**2 - 38*u - 29. Let c(r) = 7*r**3 - 6*r**2 - 17*r - 14. Determine -9*c(d) + 4*t(d).
-7*d**3 + 2*d**2 + d + 10
Let c = -39 - -47. Let q(s) = -c - 6 - s + 17. Let i(m) = -2. What is -6*i(k) - 4*q(k)?
4*k
Let s(i) = 4*i - 2. Let b(q) = 5*q - 2. Suppose -c - 78 + 83 = 0. Determine c*b(u) - 6*s(u).
u + 2
Let s(w) = 6*w**3 + 2*w**2 + 4. Let o(y) = -y**3 - 3*y**2 - 1. Let t(f) = -2*f**3 - 5*f**2 - 2. Let a(x) = 3*o(x) - 2*t(x). Give 4*a(g) - s(g).
-2*g**3 + 2*g**2
Let p(z) = 9*z**2 + 10*z + 1. Let n(o) = 2*o**2 + 2*o. What is -11*n(u) + 2*p(u)?
-4*u**2 - 2*u + 2
Let d(z) = 2*z + 4. Let u be d(-3). Let b(r) = 2*r**3 + 2*r**2 + 4. Let p be 1/2*(10 + -8 + -12). Let w(i) = -i**3 - i**2 - 2. Determine p*w(a) + u*b(a).
a**3 + a**2 + 2
Let t(m) = 9*m + 967. Let z(j) = 2*j + 242. Determine 6*t(g) - 26*z(g).
2*g - 490
Let h(x) = 22*x**2 + 24*x + 10. Let f(n) = 11*n**2 + 13*n + 6. Calculate -5*f(g) + 3*h(g).
11*g**2 + 7*g
Let l(y) = -10*y**2 - 3*y + 568. Let h(u) = -23*u**2 - 7*u + 1136. Give 3*h(m) - 7*l(m).
m**2 - 568
Let h(q) = 4*q**3 - q**2 + 5*q + 1. Let w(f) = 5*f**3 + 0*f**3 + f + 2*f - f**3 - 2*f**3 - f**2. Determine -3*h(l) + 5*w(l).
-2*l**3 - 2*l**2 - 3
Let s = 95 + -147. Let x = s + 55. Let u(n) = 6*n**2 + 8. Let t(c) = 2*c**2 + 3. Calculate x*u(y) - 8*t(y).
2*y**2
Let w(n) = -13*n + 19. Let j(i) = 14*i - 16. What is -3*j(o) - 2*w(o)?
-16*o + 10
Let o(y) be the second derivative of y**3/6 - y**2/2 - 213*y + 1. Let c(u) = 2*u - 9. Determine -c(d) + 4*o(d).
2*d + 5
Let p(o) = o - 3. Let m(j) = -6*j - 174. Calculate -m(h) - 4*p(h).
2*h + 186
Suppose 5*d = -5*g + 45, g + 8*d - 4*d - 12 = 0. Let z(w) = -2*w**2 + 4*w. Let b(i) = -3*i**2 + 6*i. Give g*z(o) - 5*b(o).
-o**2 + 2*o
Let b(m) = -5*m + 2. Suppose -a + 5*y - 37 = 0, -2*y = 5*a + 83 + 21. Let h(l) = l + 4. Let v(f) = -3*f - 15. Let x(j) = a*h(j) - 6*v(j). Give -2*b(t) + 3*x(t).
-2*t + 2
Let k be 7 - (-5)/(5/(-4)). Suppose 5*z = 8*z + k. Let u(v) = -v + 1. Let o(n) = -2*n**2 - 14*n + 10. What is z*o(h) + 12*u(h)?
2*h**2 + 2*h + 2
Let d = -476 + 461. Let p(w) = 15*w**2 - 30*w - 25. Let r(f) = -8*f**2 + 15*f + 13. Let k(n) = -2*p(n) - 5*r(n). Let q(i) = -i**2 + i + 1. Give d*q(y) - k(y).
5*y**2
Let w(n) = 304513*n. Let l(v) = 335*v. Determine 2728*l(x) - 3*w(x).
341*x
Let g(o) = 33*o**3 + 2*o**2 - 2*o + 8. Let x(w) = -w**3 - w**2 + w - 2. Calculate g(j) + 2*x(j).
31*j**3 + 4
Let p(a) = -3*a**3 - 5*a + 1. Let o = 9 - 6. Let i(k) = -k**3 + 9*k - 3*k + 4*k**o - 2*k - 1. Give 5*i(s) + 4*p(s).
3*s**3 - 1
Suppose 0 = 3*b - 3*x + 30, -12 = -4*x + x. Let a(p) = 7*p + 5. Suppose 3*m + 13*m - 16 = 0. Let y(u) = u + 1. Give b*y(h) + m*a(h).
h - 1
Let j(s) be the third derivative of -13*s**5/60 - s**4/4 - 7*s**3/6 + 74*s**2. Let k(m) = 27*m**2 + 13*m + 15. Calculate -13*j(v) - 6*k(v).
7*v**2 + 1
Let t(y) = -y**2 - y + 2. Let a(j) = 45*j**3 + 4*j**2 + j. Determine -a(n) - t(n).
-45*n**3 - 3*n**2 - 2
Let l(n) = -3*n + 7. Let g(z) = -1. Let t(k) = -5*g(k) - l(k). Let f(h) = -11*h + 5. Let u(a) = -13*a + 5. Let c(r) = 3*f(r) - 2*u(r). Give 6*c(q) + 15*t(q).
3*q
Let d(k) = -k**2 + 13 - k**3 + 3 - 23 + 6. Let v(j) = -9*j**3 - 5*j**2 - 5. Calculate -5*d(c) + v(c).
-4*c**3
Let x(t) = -5*t**3 - 61*t**2 + 4*t + 8. Let m(n) = -11*n**3 - 120*n**2 + 9*n + 18. What is -4*m(a) + 9*x(a)?
-a**3 - 69*a**2
Let c = -10 + 30. Let s(p) = -5*p - 5 + 20*p + 5*p**2 - c*p. Let q(f) = -14*f**2 + 14*f + 14. Calculate 4*q(z) + 11*s(z).
-z**2 + z + 1
Let w(v) = -6*v + 2. Let b = -18 + 11. Let i(p) = 11*p - 4. Let j = -184 - -276. Suppose -97*x = -j*x + 20. Determine b*w(n) + x*i(n).
-2*n + 2
Let s(x) = -620*x**3 + 4*x**2 - 4*x + 4. Let j(b) = 17979*b**3 - 117*b**2 + 117*b - 117. Give 4*j(f) + 117*s(f).
-624*f**3
Let c(n) = -15*n + 11. Let x(a) = -3*a + 14 + 3*a - 10 - 5*a. Let t = -128 + 124. What is t*c(z) + 11*x(z)?
5*z
Suppose -540*f = -542*f + 6. Let b(t) = t**3 + 0*t**2 - 2*t**2 + 3*t**2 - t. Let c(x) = -7*x**3 - 8*x**2 + 8*x. What is f*c(z) + 24*b(z)?
3*z**3
Let n(p) = 48*p**3 - 109*p**3 + 2 + 4 + 6*p + 6*p**2 + 63*p**3. Let c(u) = u**2 + u + 1. What is -6*c(w) + n(w)?
2*w**3
Let w(h) = 2*h + 3. Let b(d) = -d + 27. Give -b(t) + 2*w(t).
5*t - 21
Let i(s) = 10*s**3 + 13*s**2 - 118*s. Let p(t) = -5*t**3 - 6*t**2 + 58*t. Give 6*i(w) + 13*p(w).
-5*w**3 + 46*w
Let p(w) = -7 + 44*w - 39*w - 6 + 3. Let t(o) = -o + 1. What is p(f) + 6*t(f)?
-f - 4
Let x(q) = -q**2 + q + 2. Let k(r) = -r**2 + r + 2. Suppose -27 = s - 4*u - 8, u = 4*s + 1. Suppose 5*d = s - 26. Determine d*x(g) + 4*k(g).
g**2 - g - 2
Let c(a) = -28*a**3 - a**2 + 4*a. Let u(i) = 57*i**3 + 2*i**2 - 7*i. Determine 11*c(x) + 6*u(x).
34*x**3 + x**2 + 2*x
Let i(w) = 9*w**3 - 2*w - 2. Let j(t) be the third derivative of -3*t**6 + 27*t**4/8 + 27*t**3/2 + 139*t**2. Determine 81*i(c) + 2*j(c).
9*c**3
Let g(m) = -m. Let d(i) be the se