d) = 3403*d**3 + 18*d + 18. What is 2*f(o) - 9*j(o)?
-853*o**3
Let q(u) be the first derivative of -4*u**2 - 4*u - 415. Let y(f) = 3*f + 6*f + 2 + 3. What is -6*q(t) - 5*y(t)?
3*t - 1
Let a(r) = 3*r + 3. Let u(l) = 7*l + 4. Let s(p) = -3*a(p) + 2*u(p). Let h(x) = 6*x - 1. Give -2*h(k) + 3*s(k).
3*k - 1
Let o(d) = 161*d**3 - 5*d**2 + 5*d + 5. Let c(q) = 2*q**3 - q**2 + q + 1. What is -5*c(y) + o(y)?
151*y**3
Let l(t) = -2*t**3 - t**2. Let b be (-5)/(-2)*(1 - 33/15). Let g(p) = -5*p**3 - 3*p**2. Let j be (0 + -2)*(-7)/2. Determine b*g(r) + j*l(r).
r**3 + 2*r**2
Let k(w) = 614*w + 147. Let g(r) = 205*r + 52. What is 17*g(y) - 6*k(y)?
-199*y + 2
Let h(t) = -3*t**2 + 2*t - 1. Let z(r) = 5*r**2 - 3*r + 2. Let l be (-2 - -3)/((-1)/7). Let g be -11 + 5 + (-4 + 9 - 3). Calculate g*z(y) + l*h(y).
y**2 - 2*y - 1
Let z(o) = 2*o**2 + o + 6. Let v(h) = -5*h - 30. Let f be v(-5). Let x(d) = 2*d**2 + d + 5. Give f*x(k) + 4*z(k).
-2*k**2 - k - 1
Let k(t) = -6*t**3 + 11. Let q(y) = -2*y**3 + 4. Suppose 536 = 7*b + 578. Suppose 3*c + 71 = 4*i, -4*c + 0 - 4 = 0. Determine b*k(o) + i*q(o).
2*o**3 + 2
Let b(o) = o. Let m = 1205 - 1206. Let q(g) be the third derivative of -1/120*g**6 + 0*g**5 - 1/4*g**4 + 0 - 2*g**2 + 0*g + 0*g**3. What is m*q(k) - 6*b(k)?
k**3
Let x(s) = -37*s**2 + 17. Let m(w) = -2. What is 6*m(j) + x(j)?
-37*j**2 + 5
Let r(h) = 87*h**3 + 4*h**2 - 4. Let g(p) = -19837*p**3 - 913*p**2 + 913. What is -4*g(l) - 913*r(l)?
-83*l**3
Let p(y) = y**2 + 4*y. Let q(x) = -4*x**2 - 17*x. Let n(d) = -8*d**2 + d + 4. Let b be n(2). Give b*p(f) - 6*q(f).
-2*f**2 - 2*f
Let t = -6 - -31. Let h = t + -23. Let i(j) = -2*j - 1. Let d(z) = z**2 - 9*z - 4. What is h*d(r) - 9*i(r)?
2*r**2 + 1
Let r(p) = 3*p**2 - 2*p. Let c(d) = -d**3 + 7*d**2 - 5*d. Determine 6*c(j) - 14*r(j).
-6*j**3 - 2*j
Let u(m) = m + 2. Suppose 5*p + 3*r + 24 = 0, -12 = 5*p + 4*r + 15. Let z(o) = -1. Let n(a) = -2*a - 2. Let b(k) = p*z(k) - n(k). Determine -3*b(i) + 7*u(i).
i - 1
Suppose 3 = -j + 7. Suppose y + 9 = j*g, 2*g = -2*g + 16. Let d(u) = -2*u - 11. Let m(h) = -h - 6. Give y*m(c) - 4*d(c).
c + 2
Let o be -8*((-21)/2)/(-7). Let s = 13 + o. Let w(z) = 5 + 4*z - 3*z - s - 3. Let v(y) = 5*y + 4. Give -4*v(l) + 18*w(l).
-2*l + 2
Suppose -4*p + o = 5*o - 16, 5*p + 7 = 4*o. Let a be (-1 - -8) + p + -2. Let g(c) = -3 + 9*c - 16*c + 2. Let s(b) = b. Calculate a*s(y) + g(y).
-y - 1
Let a(z) = 3*z - 7. Let x(i) be the first derivative of i**2/2 - 3*i - 660. Give 6*a(g) - 14*x(g).
4*g
Let d(b) = -4*b**3 + 3*b. Let i(l) = -l**3 + 8*l**2 + 11*l - 12. Let t = -2 + 11. Let k be i(t). Let w(n) = n**3 - n. Give k*w(p) + 2*d(p).
-2*p**3
Let r(w) = w**3 - 5. Suppose b - y = -4*b + 10, 0 = -2*b - y + 11. Let o(x) = 4*x - x - x**3 + 7 - b*x. What is 5*o(t) + 7*r(t)?
2*t**3
Let t(z) = 314*z - 1. Let a(v) = 1564*v - 6. What is 2*a(m) - 11*t(m)?
-326*m - 1
Suppose -58 + 3 = 5*f. Let v(h) = 5*h**2 + 7*h - 4. Let n(o) = 9*o**2 + 13*o - 7. Give f*v(c) + 6*n(c).
-c**2 + c + 2
Let a(m) = -4*m**2 + 6*m - 17. Let q(b) = 2*b**2 - 3*b + 9. What is 3*a(z) + 5*q(z)?
-2*z**2 + 3*z - 6
Let z(a) = -41 - 6*a + 8*a + 44. Let o(f) = -f**2 + f**3 - 3 - 5*f - 4 + 0. Suppose -2*t = 2*t - 8. What is t*o(s) + 5*z(s)?
2*s**3 - 2*s**2 + 1
Let v(a) = 3 + 1 - 3 + 2*a. Let l(k) be the third derivative of k**7/5040 + k**5/12 - 3*k**2. Let c(s) be the third derivative of l(s). What is c(m) - v(m)?
-m - 1
Let q(g) = -78*g + 8. Let m(f) = -16*f + 2. Calculate 14*m(n) - 3*q(n).
10*n + 4
Let h(z) = -2*z**2 + 14*z + 14. Let m(c) = 5*c + 15*c - 4 - 1 - 19*c + 6. Determine 3*h(g) - 42*m(g).
-6*g**2
Let k(z) = z - 7. Let h(l) = 1. Let y(f) = -f**2 - 7*f + 17. Let v be y(-9). Suppose -7*m = -14*m - 28. Give m*h(g) + v*k(g).
-g + 3
Let x(y) = 3*y**3. Let a be 6 + 7/(-14)*2. Let j(s) = 2*s**2 - s**3 - 2*s**2. Determine a*j(d) + 3*x(d).
4*d**3
Let h(v) = -3715*v + 90. Let u(p) = 169*p - 4. Give -2*h(c) - 45*u(c).
-175*c
Let h = -2489 + 2491. Let w(m) = 5*m**2 - m - 2. Let u(a) = -9*a**2. Let t be u(1). Let n(z) = 21*z**2 - 4*z - 9. What is h*n(b) + t*w(b)?
-3*b**2 + b
Let b(s) = -8*s - 6. Let k = -18 - -18. Suppose -2*i = 4*f - k*f + 44, -f - 5*i = 11. Let c(u) = -8*u - u + 3*u - 9*u - 11. Calculate f*b(x) + 6*c(x).
-2*x
Let p(a) = a**3 - a - 1. Suppose 3 = -6*g - 3. Let q(n) = -4*n**3 + 5*n + 6. Determine g*q(o) - 6*p(o).
-2*o**3 + o
Let o(m) = 16*m**2 - m - 11. Let d(n) = 4*n**2 - n. Determine d(r) - o(r).
-12*r**2 + 11
Let u(s) be the second derivative of 7 - 1/4*s**4 + 0*s**3 - 1/20*s**5 + 2*s + 0*s**2. Let n(f) = f**3 + 4*f**2. Determine 2*n(o) + 3*u(o).
-o**3 - o**2
Let s(m) = -2*m**2 - 499*m. Let k(t) = -4*t**2 - 997*t. Determine -6*k(u) + 11*s(u).
2*u**2 + 493*u
Let i(l) = -l - 7. Let q(b) be the first derivative of -6*b - 194. Determine -6*i(c) + 7*q(c).
6*c
Let r(b) = 21*b - 114. Let u(y) = 26*y - 114. Give -5*r(v) + 4*u(v).
-v + 114
Let h(b) = 17*b**2 + 32*b + 1. Let y(s) = -5*s**2 - 11*s. What is -2*h(q) - 7*y(q)?
q**2 + 13*q - 2
Let s(k) = 5*k + 29. Let f(c) = -27*c - 159. Let l(j) = 2*f(j) + 11*s(j). Let a(i) = 3*i**2 - 3*i - 3. What is 4*a(u) + 12*l(u)?
12*u**2
Let b(j) = 92*j**3 + 12*j**2 - 2*j. Let f(r) = -92*r**3 - 10*r**2 + 2*r. Determine 4*b(h) + 5*f(h).
-92*h**3 - 2*h**2 + 2*h
Let i(k) = -k - 2. Let n(a) = 9 - 6*a + 13*a - 4*a. Let h(d) = -17*d**2 - 3*d - 4. Let b be h(-1). Determine b*i(g) - 4*n(g).
6*g
Let z(i) = 5*i**2 + 11*i + 11. Let q(w) = -4*w**2 + 27*w**2 + 2*w + 5 - 12*w**2 - 3 - 10*w**2. What is 33*q(k) - 6*z(k)?
3*k**2
Let k(x) be the first derivative of 2 + 1/2*x**2 - x. Suppose 0 = 5*a - c - 14, 2*a + 5*c = -4 - 12. Let j(g) = g**2 + 2*g - 2. Determine a*j(d) - 5*k(d).
2*d**2 - d + 1
Let v(p) be the second derivative of -4*p**4/3 - p**3 - 2*p**2 + 21*p - 9. Let k(g) = -11*g**2 - 4*g - 3. Calculate -7*k(u) + 5*v(u).
-3*u**2 - 2*u + 1
Let a(j) = -118 + 64 + 6*j**2 + 4*j + 53. Let f(c) = -5*c**2 - 3*c + 1. What is -3*a(u) - 4*f(u)?
2*u**2 - 1
Let g(p) = 108*p + 7. Let r(w) = -53*w - 4. Give -6*g(z) - 13*r(z).
41*z + 10
Let w(u) = 3*u**3 - 7*u. Suppose 0 = -3*f + 5*y - 42, 60 = -5*f + 6*y - y. Let i be -4*(0/3 + f/6). Let x(c) = -3*c**3 + 6*c. Calculate i*w(z) + 7*x(z).
-3*z**3
Suppose 0 = -2*x + 5 + 1. Let d(l) = -7*l**2 + 3. Let s(y) = 15*y**2 - 7. Give x*s(c) + 7*d(c).
-4*c**2
Let d(x) = -3*x**3 - 3*x**2 - 6*x + 4. Let c(g) = 2*g**3 + 3*g**2 + 5*g - 3. Give -6*c(l) - 5*d(l).
3*l**3 - 3*l**2 - 2
Let w(g) be the second derivative of -g**5/4 + g**4/3 + 4*g**3/3 - 2*g**2 - 112*g. Let o(k) = -14*k**3 + 11*k**2 + 23*k - 11. Calculate -4*o(d) + 11*w(d).
d**3 - 4*d
Let x(g) = -27*g + 15. Let c(s) = -s + 1. What is -6*c(v) + x(v)?
-21*v + 9
Let w(m) = m**2 + 2*m + 1. Let o(s) = 29*s**2 + 6*s + 4. What is -o(q) + 3*w(q)?
-26*q**2 - 1
Let y(f) = 11*f**3 - 2*f**2 + 10*f + 5. Let t(i) = -i**3 + i**2 - i + 1. Let x(p) = 6*t(p) + y(p). Let o(g) = g**3 + g**2 + g + 1. Calculate 4*o(k) - x(k).
-k**3 - 7
Let l(b) = 5 - 5*b + 12 + 0 - 14. Let r(t) = 21*t - 13. What is -26*l(j) - 6*r(j)?
4*j
Let i(r) = 2*r**2 + r + 1. Let b(c) = -c**3 - 4*c**2 - 26*c - 3. Determine b(f) + 2*i(f).
-f**3 - 24*f - 1
Let x(h) = -14*h**2 - 1. Suppose -26 = -32*i + 166. Let m(z) = -14*z**2 - 1. What is i*x(y) - 7*m(y)?
14*y**2 + 1
Let o(n) = -57*n - 2. Let f(x) = -57*x - 1. What is -3*f(j) + 2*o(j)?
57*j - 1
Let w(q) = 5*q - 3. Let z(b) = 5*b - 1. Give -3*w(i) + 4*z(i).
5*i + 5
Let f(x) = -3*x + 7. Let r(k) = -k - 1. Let u(n) = 5*n + 9. Let h(d) = -6*r(d) - u(d). Let j(a) = a**2 + 6*a - 12. Let s be j(-7). What is s*h(o) - 2*f(o)?
o + 1
Let t(l) = -10*l**3 + 10*l**2 - 3. Let b(d) = 31*d**3 - 29*d**2 + 8. Determine 4*b(f) + 11*t(f).
14*f**3 - 6*f**2 - 1
Let z(r) = -44*r**3 - 6*r**2 - 3*r. Let s(u) = 89*u**3 + 10*u**2 + 5*u. What is 3*s(c) + 5*z(c)?
47*c**3
Let q(z) = 5*z - 30. Let v(k) = 4*k - 25. Let i(r) = -5*q(r) + 6*v(r). Let u(j) = 18*j. Suppose 0 = -3*b, 0*w - 4*b = 4*w + 12. Give w*u(h) - 48*i(h).
-6*h
Let o(d) be the first derivative of -d**3/3 + d**2/2 - 424. Let u(v) = 2*v**3 + 7*v**2 - 7*v. Let s = -5 - -6. Determine s*u(k) + 5*o(k).
2*k**3 + 2*k**2 - 2*k
Let n(j) = 13*j**2 + 2*j + 2. Let l(z) = 376*z**2 + 8 + 55*z + 31 + 25 - 26*z**2 - 9. What is 2*l(v) - 55*n(v)?
-15*v**2
Suppose b - 18*b - 85 = 0. Let m(n) = -8*n**2 - 4 - 5*n + 0*n**3 - 3*n**3 + 