 1. Let j(y) = k*n(y) + 5*v(y). Let w(f) = 6*f + 3. Give 7*j(s) - 5*w(s).
-2*s - 1
Let m(r) = -3*r. Let s(n) = 25*n**2 - 17*n - 1. Calculate 5*m(q) - s(q).
-25*q**2 + 2*q + 1
Let d = 3 - 7. Suppose 0 = 19*k - 38*k - 418. Let v(q) = 5*q**3 - 11*q**2 - 21. Let z(r) = -r**3 + 2*r**2 + 4. What is d*v(c) + k*z(c)?
2*c**3 - 4
Let r(q) = -4 - 4*q + 10*q**3 - 12*q - q**3 + 8*q**2 + 22*q. Let m(l) = -19*l**3 - 17*l**2 - 13*l + 9. Calculate 6*m(p) + 13*r(p).
3*p**3 + 2*p**2 + 2
Let n(h) = 4*h**2 - 18*h - 8. Let k be n(5). Let f(m) = -3*m + 4. Let v(z) = 1. What is k*v(i) - f(i)?
3*i - 2
Let h(u) be the third derivative of -u**6/120 + u**5/60 + u**3/6 - 440*u**2. Let j(w) = 3*w**3 - 2*w**2 + 2. Calculate h(x) - j(x).
-4*x**3 + 3*x**2 - 1
Let r(w) = 2*w**2 + 7*w + 11. Let h be 0 + 6/(-15) - 1239/(-35). Suppose 14*y + 63 = -h. Let u(s) = s**2 + 3*s + 5. Calculate y*u(v) + 3*r(v).
-v**2 - 2
Let o(j) = -442 - j - j + 894 - 449. Let x(b) = 5*b - 8. Calculate 11*o(m) + 4*x(m).
-2*m + 1
Let c(m) = -35*m**3 + 7*m**2 - 7*m. Let v(g) = -17*g**3 + 3*g**2 - 3*g. What is -3*c(z) + 7*v(z)?
-14*z**3
Let r(w) = -54*w**3. Let s(o) = -o**3. What is 6*r(c) - 270*s(c)?
-54*c**3
Let d(p) = 6*p. Suppose 2*i - 4*q = -2, 0 = i + 3*i + 2*q + 14. Let x(w) = -2*w. Let s(b) = 7*b. Let h(r) = 3*s(r) + 8*x(r). Give i*d(a) + 4*h(a).
2*a
Let r(b) = 2*b**2 - 3*b - 4. Let f = -265 + 268. Let h(n) = -n**2 + 2*n + 4. Determine f*r(w) + 4*h(w).
2*w**2 - w + 4
Let r(w) = -27*w + 7. Let b(v) = 14*v - 4. What is -11*b(i) - 6*r(i)?
8*i + 2
Let d(m) = 2*m - 1. Let u = -10 + 1. Let z(o) = -6*o + 3. Let v(j) = -11*j + 5. Let p(f) = -2*v(f) + 5*z(f). What is u*d(q) - 2*p(q)?
-2*q - 1
Let c(b) = -2*b**3 - b**2 + 5*b + 2. Let g(q) = q**2 + 3. What is c(r) - g(r)?
-2*r**3 - 2*r**2 + 5*r - 1
Let g(r) = -2*r**3 - 3*r**2 - 3. Let a(h) = h**3 - 11*h**2 + 6. Let i be a(11). Let n(p) = 12*p**3 + 17*p**2 + 17. Give i*n(q) + 34*g(q).
4*q**3
Let h(o) be the first derivative of -o**2/2 + 2*o - 1. Let c(x) = 8 + 7 - 22 + 4*x + 0. Let z be (0 + -1)*(-3 - -1). Calculate z*c(v) + 7*h(v).
v
Let p(r) = 3*r**3 - 7*r**2 - 7*r + 8. Let h(f) = -f**2 - f + 1. Determine -14*h(a) + 2*p(a).
6*a**3 + 2
Let u(h) = 9*h**2 - 3 + 3 + 13 + 4*h - 3*h**2 - 4. Let b(l) = 3*l**2 + 2*l + 4. Let j(k) = -k - 9. Let f be j(0). Calculate f*b(q) + 4*u(q).
-3*q**2 - 2*q
Let s(o) = -2640*o + 140. Let a(t) = 220*t - 12. Give -35*a(g) - 3*s(g).
220*g
Let z(r) = 141*r**2 - 14*r - 5. Let o(l) = -71*l**2 + 8*l + 3. Calculate 7*o(m) + 4*z(m).
67*m**2 + 1
Let t(j) = -j - 9. Suppose 0 = -5*b + 10 + 5. Suppose -4 - 2 = b*h. Let p(x) be the second derivative of -2*x**2 + x - 12. Calculate h*t(u) + 5*p(u).
2*u - 2
Let p(n) = -14*n + 2 - 8*n - 16*n + 42*n. Let x(f) = 12*f + 6. Calculate -8*p(v) + 3*x(v).
4*v + 2
Let d(k) = k**2 - k. Let n(u) = 7*u**2 + u + 2. Suppose 4*c = 3*v + 7, 3 = -2*c - 9*v + 4*v. Give c*n(m) - 4*d(m).
3*m**2 + 5*m + 2
Let v(w) be the third derivative of -w**5/20 - w**4/12 + w**3/3 + 163*w**2. Let z(m) = -16*m**2 - 11*m + 11. Suppose -3*u + 0*u = -33. What is u*v(p) - 2*z(p)?
-p**2
Let l(m) = m**2 - 3*m + 3. Let h(b) = -5*b**2 + 11*b - 11. Suppose 122 = 5*w + 3*p, -3*p + 34 = -3*w + 4*w. Calculate w*l(i) + 6*h(i).
-8*i**2
Let i(g) = -96 - 2*g + 53 + 7*g + 48 + 3*g**2. Let j(n) be the second derivative of -n**4/12 - n**3/3 - n**2 - n. Give -2*i(a) - 5*j(a).
-a**2
Let u(g) = -23*g - 2. Let r(s) = -24*s - 1. Give 2*r(i) - 3*u(i).
21*i + 4
Let v(x) = 25*x + 19. Let k(w) = 126*w + 96. Determine -2*k(g) + 11*v(g).
23*g + 17
Let j = -20 + 22. Let u(x) = 15 - 38 + 45*x - 22 - 155*x**3 + 0*x**2 + 45*x**2. Let q(p) = 7*p**3 - 2*p**2 - 2*p + 2. Calculate j*u(i) + 45*q(i).
5*i**3
Let v(o) = 4*o**3 - 17*o + 6. Let t(z) = 11*z**2 + 48*z + 10. Let f be t(-4). Let s(m) = -m**3 + m - 1. Determine f*s(y) - v(y).
2*y**3 + 11*y
Let o(f) = 3*f**2 + 34*f - 3. Let k(t) = t**2 + 6*t - 1. Determine -4*k(d) + o(d).
-d**2 + 10*d + 1
Let p(r) = -r + 8. Let q(u) = -u + 8. Suppose 772 = 18*v + 718. Calculate v*p(n) - 2*q(n).
-n + 8
Let j(u) = 17*u**3 + 3*u**2 + 7*u - 7. Let y(x) = 16*x**3 + x**2 + 6*x - 6. Give -6*j(d) + 7*y(d).
10*d**3 - 11*d**2
Let d(s) = -5*s**2 + 2*s - 2. Let q(y) = 21*y**2 - 7*y + 9. Calculate 9*d(o) + 2*q(o).
-3*o**2 + 4*o
Let k(j) = -9*j - 8. Let i(n) be the third derivative of -n**4/24 - n**3/6 + 20*n**2 + 20. Determine 14*i(b) - 2*k(b).
4*b + 2
Let w(y) = -3*y - 2. Let q(a) = 2 + 0 + 20*a + 18*a - 34*a. Give -2*q(z) - 3*w(z).
z + 2
Let z(i) = 5 - i**2 - 5*i + 0*i**2 + 2*i**2. Let f be z(4). Let m(c) = -3 + 1 - f - 5*c. Let g(r) = 24*r + 14. What is -3*g(l) - 14*m(l)?
-2*l
Let l(w) = 11*w - 1035. Let y(m) = 4*m - 345. Give 6*l(f) - 17*y(f).
-2*f - 345
Let i(n) = 5*n + 1. Let w(z) = 46*z + 2. Give 5*i(x) - w(x).
-21*x + 3
Let m(p) = p**3 - 2*p**2 - 2*p - 1. Let u be m(3). Let r(q) = -2296*q + 3 + 1146*q + 1154*q. Let x(s) = 2*s + 1. What is u*r(b) - 5*x(b)?
-2*b + 1
Let b(r) = 3*r + 13. Suppose 0 = 4*z - 5*i - 193, 59 = 2*z + 3*i + 2*i. Suppose -7*t + t = z. Let o(j) = j + 4. What is t*o(k) + 2*b(k)?
-k - 2
Let m(g) = g**3 + 3. Let n(y) = -2*y**3 - 8. Suppose x = -2*d - x + 94, 0 = -4*d - 3*x + 190. Let b = -57 + d. Give b*m(s) - 3*n(s).
-2*s**3
Let r be 2 + 11 + -7 + 12*-1. Let t(u) = 6. Let b(x) = x + 14. What is r*b(w) + 14*t(w)?
-6*w
Let m = -5640 - -5644. Let u(h) = -2*h - 6. Let q(k) = -5 + 0 - 3*k - 2. Determine m*q(i) - 5*u(i).
-2*i + 2
Let z(j) = 4*j. Let o(p) = -3*p + 3 - 10 + 6 + 1. What is 3*o(i) + 2*z(i)?
-i
Let h(u) = -2*u**3 + 4*u**2 + 4*u. Let t(m) = -3*m**3 + 4*m**2 + 5*m. Suppose 0 = 2*p - 2*g + 5*g + 7, p = 5*g + 29. What is p*t(w) - 5*h(w)?
-2*w**3 - 4*w**2
Let o(n) = 0*n**2 + n + 3*n**3 - 2*n**3 + n**2. Let v(x) be the second derivative of -x**5/4 - x**4/2 - x**3/2 - 2910*x. Calculate -6*o(k) - v(k).
-k**3 - 3*k
Let i(x) = 7*x**2 + 5. Suppose -4*m + 7 = -a + 23, m = -3. Suppose -2*d = a*d - 30. Let b(j) = -4*j**2 - 3. Give d*b(k) + 3*i(k).
k**2
Let a(w) be the second derivative of -2*w**4 - 17*w**3/6 - 11*w + 6. Let s(r) = 3*r**2 + 2*r. Give 6*a(l) + 51*s(l).
9*l**2
Let r(k) = 8*k + 55. Let a(v) = -10*v - 56. Determine 3*a(c) + 4*r(c).
2*c + 52
Let h(g) = -2*g**2 - 5. Let l(r) = r**2 + 6. Calculate -6*h(z) - 5*l(z).
7*z**2
Suppose -3*g = -2*g - 7. Let l(s) = -9*s**3 - 8 - g*s**2 - s**2 - 5*s**3. Suppose 8*q - 32 = 4*q. Let j(f) = -5*f**3 - 3*f**2 - 3. Calculate q*j(x) - 3*l(x).
2*x**3
Let j(c) = 77*c**3 - 20*c**2 - 2*c + 6. Let i(q) = q**3 + 3*q**2 - 1. Give -6*i(r) - j(r).
-83*r**3 + 2*r**2 + 2*r
Let r(s) = s**3 - 3*s**2 + s - 3. Let b(v) = -5*v**2 + v - 5. Determine 3*b(y) - 5*r(y).
-5*y**3 - 2*y
Let r(f) = 2 - 4 + 15*f + 36*f**2 + 17. Let w(h) = 2 - 4*h + 18*h - 3*h**2 + 2*h**2 + 6*h**2 - 12*h. Give 2*r(i) - 15*w(i).
-3*i**2
Let h(l) = 2*l**2 - 117*l - 1. Let f(j) = -4*j**2 + 235*j + 1. Determine -3*f(s) - 5*h(s).
2*s**2 - 120*s + 2
Let f(c) = 251*c + 17. Let q(d) = -63*d - 4. Give -6*f(j) - 26*q(j).
132*j + 2
Let y(v) = -10*v + 90. Let w(x) = 9. Let q(f) = -10*w(f) + y(f). Let k(h) = 21*h. Determine 6*k(j) + 14*q(j).
-14*j
Let b(n) be the first derivative of n**3 + 3*n**2 - 2*n - 1. Let m(t) = 7*t - 31 - 12*t - 2*t**2 + 33. Suppose 0 = -5*o - 17 - 3. Calculate o*m(a) - 3*b(a).
-a**2 + 2*a - 2
Suppose 4*x + 5*k - 105 = 4*k, -k + 79 = 3*x. Let u(i) = 11 - 3 - 7*i + 3*i. Let g(a) = -a + 2. Calculate x*g(v) - 6*u(v).
-2*v + 4
Let c(d) = d**3 - 297*d. Let q(h) = 3*h**3 - 594*h. Calculate -7*c(x) + 3*q(x).
2*x**3 + 297*x
Let y(f) be the third derivative of -f**5/12 + f**3 + 34*f**2. Let m(q) = 9*q**2 - 11. Suppose 0 = 2*d - 0*d + 12. What is d*m(j) - 11*y(j)?
j**2
Let w(m) = -m + 3. Let g(c) = c - 2. Suppose -2*q - 80 = 3*u, -7*u - 140 = -2*u + 2*q. Let k = u + 26. Calculate k*w(r) - 6*g(r).
-2*r
Let k(v) be the first derivative of -5*v**4/4 - 4*v**3/3 - v**2 - 191. Let z(r) = 9*r**3 + 8*r**2 + 4*r. What is -11*k(o) - 6*z(o)?
o**3 - 4*o**2 - 2*o
Let t(x) = -14*x**3 + 4*x**2 - 142*x + 9. Let p(m) = -6*m**3 + 2*m**2 - 71*m + 4. Give 9*p(n) - 4*t(n).
2*n**3 + 2*n**2 - 71*n
Let v(p) = p**2 + 3*p + 4. Let k(j) = 2*j**2 + 7*j - 1. Let a(u) = -10*u**2 - 34*u - 14. Let i(d) = a(d) + 3*k(d). Calculate -6*i(s) - 26*v(s).
-2*s**2 - 2
Let i(v) = v**2 - 3*v - 5. Let a(j) = j**2 - 3*j - 4. Let l(o) = -2*o**2 + 6*o + 104. Let u 