 + 61
Let v(l) = l**3 + 7*l**2 - 4*l. Let w(r) = -3*r**3 - 267*r**2 + 511*r**2 - 265*r**2 + 11*r. What is 11*v(z) + 4*w(z)?
-z**3 - 7*z**2
Let b(h) = h. Let g be (4 - -22) + 0 + -2. Let n be ((-18)/g)/(3/(-8)). Suppose -2*t = 3*x + x + 12, n*x - t - 2 = 0. Let w(v) = v. What is x*b(o) + 2*w(o)?
o
Let z(d) = 10*d**2 + 15*d - 15. Let u(w) = -39*w + 0*w**2 - 4*w**2 + 5*w**2 - 1 + 40*w. Determine 15*u(m) - z(m).
5*m**2
Let u(x) = x + 1. Let k(o) be the first derivative of -7*o**2/2 - o + 175. Determine k(y) + 4*u(y).
-3*y + 3
Let c(q) = -2*q + 2. Let l(k) = -2*k + 2. Suppose 18 + 60 = 2*u. Let o = u + -33. Determine o*c(d) - 5*l(d).
-2*d + 2
Let l(y) = -21*y + 26. Let d = -4577 - -4579. Suppose -4*j = -9 + 53. Let q(b) = -4*b + 5. Determine d*l(h) + j*q(h).
2*h - 3
Let y(g) = 5*g + 234. Let h(s) = -2*s - 118. Determine -7*h(r) - 3*y(r).
-r + 124
Let x(g) = 2. Let i(t) = t - 3. Let b(j) = 4*i(j) + 5*x(j). Let q(h) = 4*h - 6*h + h. What is b(a) + 6*q(a)?
-2*a - 2
Let h(i) = 3*i**3 + 123*i**2 + 8*i + 5. Let b(g) = -5*g**3 - 184*g**2 - 13*g - 8. Give 5*b(j) + 8*h(j).
-j**3 + 64*j**2 - j
Suppose 196 = 12*p + 124. Let v(r) = 5*r**3 - 4*r - 5. Let a(y) = -10*y**3 + 7*y + 9. Calculate p*a(k) + 11*v(k).
-5*k**3 - 2*k - 1
Suppose 0 = -x - 4*x + 35. Let f(p) = -6*p**2 - 2*p. Let k(u) = 5*u**2 + u. Determine x*k(o) + 6*f(o).
-o**2 - 5*o
Let f(a) = -3*a**2 + a - 1. Let s(t) be the third derivative of -t**5/30 + t**4/24 - t**3/6 + t**2 - 4*t. What is 4*f(l) - 5*s(l)?
-2*l**2 - l + 1
Let q(i) = 61*i**2 - 2*i. Let h(m) = 1645*m**2 - 55*m. What is -4*h(u) + 110*q(u)?
130*u**2
Let k(f) be the second derivative of -f + 0 + 0*f**3 + 0*f**2 + 1/4*f**4. Let d be 24/2 + (-2 - 4). Let j(w) = -w**2. What is d*j(y) + k(y)?
-3*y**2
Suppose r + 13 = 28. Suppose 5*c - 4*u + 5 = 0, 0*u = c + 2*u + r. Let j(f) = 8*f**2 + 6*f + 3. Let d(w) = 7*w**2 + 5*w + 3. Calculate c*j(q) + 6*d(q).
2*q**2 + 3
Let b(p) = 9*p**2 + 6*p + 2. Let d(g) = 19*g**2 + 13*g + 6. Determine 7*b(r) - 3*d(r).
6*r**2 + 3*r - 4
Let o(p) = -3 + 36*p - 76*p + 43*p. Let k = -5 - -6. Let t(u) = -u**3 + u - 1. What is k*o(z) - 3*t(z)?
3*z**3
Let h(r) = -3*r - 1. Let c(k) = 17*k + 4. Determine 2*c(j) + 2*h(j).
28*j + 6
Let p(u) = -u**2 + u - 2. Let g(i) = 48*i**3 - 27*i**2 + 27*i - 54. Give 4*g(k) - 108*p(k).
192*k**3
Let m(g) = -116 + 111 - 4*g - 3*g. Suppose 0 = 3*z - 5*k - 34, z + 5*k - 2*k - 16 = 0. Let t(u) = 13 - 2 - 8*u + 23*u. Determine z*m(y) + 6*t(y).
-y + 1
Let x(z) = -5*z**3 - 2*z**2 + 178*z - 2. Let o(h) = 2*h**3 + h**2 - h + 1. Give 2*o(a) + x(a).
-a**3 + 176*a
Let l(q) = -11*q - 5. Let f be 16/(384/(-116)) - 2/12. Let x(o) = 11*o + 6. What is f*x(h) - 6*l(h)?
11*h
Let t(l) = 3*l. Suppose 4*f - 2 = -3*o - 3, -3*f = 3. Let w(c) = 2 + o - 2. Give t(h) + 2*w(h).
3*h + 2
Let f(w) = 701*w**3 - 4*w**2 + 4. Let b(y) = 702*y**3 - 5*y**2 + 5. What is -4*b(t) + 5*f(t)?
697*t**3
Let v be 1*(4/(-1 - 0) + 8). Suppose -3*w - 24 = 3*f, 3*w + 0*f + 28 = -v*f. Let t(g) = 2*g**2 - 5. Let q(m) = 1. Give w*q(c) - t(c).
-2*c**2 + 1
Let t(z) = 2*z**2 + 9*z - 52. Let w(d) = -2*d**2 - 7*d + 52. What is 4*t(h) + 5*w(h)?
-2*h**2 + h + 52
Let b(a) = -690*a - 3. Let s(f) = 681*f + 2. Give -4*b(m) - 5*s(m).
-645*m + 2
Let q(f) = -2*f - 28. Let s(b) = -b**2 - 3*b - 29. Calculate 3*q(o) - 2*s(o).
2*o**2 - 26
Let q(d) = 29*d**2 + 4*d. Let f(t) = 28*t**2 + 5*t + 1. Give -4*f(l) + 5*q(l).
33*l**2 - 4
Let i(f) = f**2. Let c(l) = -l - 1. Let w(p) = -12*p**2 + 2*p + 2. Let h(g) = 4*c(g) + 2*w(g). What is h(o) + 32*i(o)?
8*o**2
Let c = -11 + 12. Let g(y) = c - 5*y - 1 - 2*y - 4. Let z(o) = -3*o - 2. Let x(v) = -v**2 + 5*v + 8. Let r be x(6). What is r*g(w) - 5*z(w)?
w + 2
Let n(m) = -10*m + 5. Let t(o) = -9*o + 4. Let d = -5 + 10. Determine d*t(u) - 4*n(u).
-5*u
Let c(t) = -313*t**3 - 5*t**2 - 6*t. Let o(a) = -783*a**3 - 12*a**2 - 15*a. Calculate -12*c(r) + 5*o(r).
-159*r**3 - 3*r
Let u(o) = -o**3 - 1. Let w(l) = 11*l**3 + 6. Determine -6*u(i) - w(i).
-5*i**3
Let m(q) = 9*q**3 - 2*q**2 - 2*q - 2. Suppose -28*x - 56 = -24*x. Let d(p) = -26*p**3 + 7*p**2 + 7*p + 7. Calculate x*m(t) - 4*d(t).
-22*t**3
Let p(w) = -32*w**3 + 6*w**2 + 6*w - 1. Let b(s) = 31*s**3 - 5*s**2 - 5*s + 1. Calculate 6*b(a) + 5*p(a).
26*a**3 + 1
Let y(f) = f**3. Let k(q) = -2*q**3 + 3*q**2 - 1. Let l(c) = k(c) - 2*y(c). Let n(b) = 11*b**3 - 9*b**2 + 3. Give -8*l(g) - 3*n(g).
-g**3 + 3*g**2 - 1
Let f(j) = -j + 1. Let g(q) = -3 - 4 - 4 + 10*q + 1 + 9. Calculate -f(d) - g(d).
-9*d
Let h(s) = 2*s**2 + 14*s + 20. Let j(m) be the third derivative of -m**5/60 - 5*m**4/24 - 7*m**3/6 + 3*m**2 + 5*m. What is -3*h(g) - 8*j(g)?
2*g**2 - 2*g - 4
Let q(a) = 44*a**2. Let b(d) = 4*d**2. Let f be (-3)/(-3)*(23 + -5)/(-3). Give f*q(k) + 68*b(k).
8*k**2
Let g(s) = 359*s**2 + 6*s. Let i(t) = 359*t**2 + 5*t. Give -5*g(x) + 6*i(x).
359*x**2
Suppose -4*t - 3*h = -1, 48*h = -5*t + 49*h + 6. Let p(o) = 4*o - 24. Let l(f) = -3 + 6 - 4. Give t*p(c) - 24*l(c).
4*c
Let m(u) = 9*u**2 + 2*u + 1. Let i(j) = -j**2 + 3*j. What is -2*i(r) + 2*m(r)?
20*r**2 - 2*r + 2
Let y(c) = 4*c + 58. Let z(a) = 2*a + 25. Let r(x) = -4*y(x) + 9*z(x). Let f(h) = -2*h + 7. Calculate 6*f(o) + 5*r(o).
-2*o + 7
Let l(s) = 19*s**3 - 5*s**2 - 13*s + 3. Let v(u) = 9*u**3 - 2*u**2 - 6*u + 1. What is 2*l(o) - 5*v(o)?
-7*o**3 + 4*o + 1
Let y(m) = 6*m + 3. Let i(b) = -7*b - 3. Let z(o) = -4*i(o) - 5*y(o). Let r = 0 - -5. Let p be 207/45 - (-2)/r. Let q(h) = 4*h + 7. Give p*z(l) + 2*q(l).
-2*l - 1
Suppose 6 = -12*c + 11*c. Let f(o) = -259*o + 119. Let s(h) = 13*h - 6. Give c*f(u) - 119*s(u).
7*u
Let c = 78 + -83. Let y(g) = 4*g**2 - 4*g + 3. Let t(o) = 8*o**2 - 6*o + 7. Let h(q) = -q**2 - q - 1. Let n(z) = h(z) + t(z). What is c*y(r) + 3*n(r)?
r**2 - r + 3
Let r(c) = 11*c**3 + 7. Let o(d) be the third derivative of -2*d**6/15 - 5*d**3/3 - 4*d**2. Let y = 7 - 7. Suppose -3*z + 15 = -y. Give z*o(s) + 7*r(s).
-3*s**3 - 1
Let j(x) = 2*x**3 + 5*x**2 + 5*x + 3. Let d = -1379 + 1383. Let t(s) = -2*s**3 - 4*s**2 - 4*s - 2. What is d*j(y) + 5*t(y)?
-2*y**3 + 2
Let s(n) = n**3 - n**2 - 1. Let t(m) = -2*m**3 + 4*m**2 - m + 5. Let j(q) = 11*q - 32. Let y be j(3). Give y*t(u) + 4*s(u).
2*u**3 - u + 1
Let z(k) = 7*k**3 - 5*k**2 - 4*k - 5. Let c(f) = -6*f**3 + 4*f**2 + 3*f + 4. What is 5*c(j) + 4*z(j)?
-2*j**3 - j
Let v(m) = 35*m + 2. Let n(g) = -g - 3. Calculate -n(l) - v(l).
-34*l + 1
Suppose 83*a + 14 = 81*a. Suppose -2*i + 3*i = 1. Let h(o) = 10*o**2 - 6 - i + 0. Let j(b) = -3*b**2 + 2. Calculate a*j(t) - 2*h(t).
t**2
Suppose -2*g + 83 = 17. Let v(z) = z - g - 34 + 108 - 40. Let y(p) = -10*p - 7. Give -6*v(u) - y(u).
4*u + 1
Let g(y) = -2*y**2 - y + 1. Suppose -2*t - 3*z + 181 = 73, -4 = -z. Let r = -43 + t. Let x(p) = 4*p**2 + 2*p - 2. Give r*g(w) + 3*x(w).
2*w**2 + w - 1
Let z(l) = -56*l**3 - 42*l**2 + 42*l - 42. Let m(u) = u**3 - u**2 + u - 1. Calculate -42*m(k) + z(k).
-98*k**3
Let o(s) = -1345*s + 671*s + 675*s + 3. Let u(l) = -2. Calculate 4*o(k) + 7*u(k).
4*k - 2
Let x(q) = -2*q + 1. Let d(j) = 11*j - 36. Give d(s) + 4*x(s).
3*s - 32
Let b = -7 - 21. Let p(s) = 7*s + 3. Let x(z) be the third derivative of -8*z**4/3 - 14*z**3/3 - z**2 + 19*z. Determine b*p(u) - 3*x(u).
-4*u
Let g(o) = -41*o + 7. Let r(m) = -78*m + 15. Give 13*g(z) - 6*r(z).
-65*z + 1
Let d(s) = s. Let w(m) = 7*m - 16. Let n be w(2). Let u(v) = -3*v**3 - 4*v - 2. Give n*d(c) - u(c).
3*c**3 + 2*c + 2
Let n(v) = 13*v**3 - 19*v**2 - 2*v + 1. Let r(l) = 15*l**3 - 21*l**2 - 3*l + 1. Calculate -8*n(y) + 7*r(y).
y**3 + 5*y**2 - 5*y - 1
Let i(t) = 200*t + 10. Let w(d) = -398*d - 17. Give 5*i(b) + 3*w(b).
-194*b - 1
Let z(d) = -9*d + 1. Let c(u) = 33*u - 4. Determine -6*c(w) - 26*z(w).
36*w - 2
Let s(g) = 8*g - 3. Let n = -2 - -7. Let k(h) = -7*h + 2. Let d(o) = n*k(o) + 4*s(o). Suppose 10*f + 62 = -8. Let b(x) = -10*x - 7. Calculate f*d(v) + 2*b(v).
v
Let j(z) = -33*z**3 - 34*z**2 - z + 3. Let p(y) = 12*y**3 + 12*y**2 - 1. Determine -3*j(x) - 8*p(x).
3*x**3 + 6*x**2 + 3*x - 1
Let u(h) be the second derivative of -h**3/6 + h**2/2 + h. Let o(j) = -15*j - 8 - 2 + 4 + 17*j. Determine -o(r) - 4*u(r).
2*r + 2
Let p(k) = -55*k**2 + 3. Let y(u) = -6272*u**2 + 343. Calculate -343*p(q) + 3*y(q).
49*q**2
Let q(t) = -9*t**2 - 13*t - 23. Let s(n) = -4*n**2 - 6*n - 11. Let y(a) = -2*a +