- 3. Let x(n) = -9*n**3 - 4*n + 2. Calculate 2*r(c) + 3*x(c).
-7*c**3 - 2*c
Let j(k) = -k - 4. Let r = 98 - 101. Let t(l) be the first derivative of l**2/2 + l - 26. Give r*t(u) - j(u).
-2*u + 1
Let p(v) = -v**3 + 7*v**2 - 2*v - 5. Let x(l) = -l**3 + 9*l**2 - 3*l - 5. Determine 5*p(i) - 4*x(i).
-i**3 - i**2 + 2*i - 5
Let k(r) be the second derivative of 143*r**4/12 - 13*r**3/2 + 39*r**2/2 + 68*r. Let h(b) = 18*b**2 - 5*b + 5. Calculate -39*h(d) + 5*k(d).
13*d**2
Let w(u) = 4 + 22*u - 60*u + 2 + 46*u. Let x(k) = k + 1. Determine -2*w(a) + 10*x(a).
-6*a - 2
Let p(w) = -43*w**3 + 38*w + 38. Let z(k) = 1632*k**3 - 1445*k - 1445. Let h(i) = 153*p(i) + 4*z(i). Let s(t) = -t**3 + t + 1. Determine h(d) - 34*s(d).
-17*d**3
Let i(g) be the third derivative of -133*g**6/120 + 204*g**2. Let p(u) = 7*u**3. Determine -4*i(a) - 77*p(a).
-7*a**3
Let u(i) = -1. Let m(d) = d + 8. Let r be ((-1)/3)/(13/(-78)). Suppose 3 = -4*k + b, -k + 2*b = 3*k + r. Give k*m(f) - 6*u(f).
-f - 2
Let o(n) = 6*n**3 - n - 2. Let h(f) = -55*f - 331. Let s be h(-6). Let v(d) = d**3 - 1. Determine s*o(u) + 5*v(u).
-u**3 + u - 3
Suppose 2 = 2*c + 2*x, 3*c - 30*x + 26*x - 3 = 0. Let f(j) = -j**3 - j**2. Let n(k) = -2*k**3 - 2*k**2 - 2*k. Determine c*f(l) - n(l).
l**3 + l**2 + 2*l
Let t(s) = 4*s + 13*s**2 - 2*s**2 - 7 - 12*s**2 + 6*s**3. Let r(w) = w**3 + w - 1. Calculate 4*r(u) - t(u).
-2*u**3 + u**2 + 3
Let q(j) = 3*j - 1. Suppose -5*u + 7*u + 3*a = -22, -3*u - 4*a = 31. Suppose f + 4 = -2. Let m(x) = -3*x + 1. What is f*q(n) + u*m(n)?
-3*n + 1
Let r(k) = 14*k + 9. Let y(z) = -5*z - 3. Let f(c) = c**3 + 12*c**2 - 14*c - 19. Let n be f(-13). Determine n*r(t) - 17*y(t).
t - 3
Let q(l) = -11*l**2. Let m be (-32)/80 + (-126)/(-15). Let i(k) be the first derivative of -7*k**3/3 + 1. Give m*i(o) - 5*q(o).
-o**2
Let a(r) = 65*r + 45. Let o(z) = -12*z + 29*z - 13*z - z + 2. Calculate -2*a(i) + 45*o(i).
5*i
Let j(a) = -2*a**2 + a + 3. Suppose 3*w - 134 = 37. Let g(v) = 0*v**2 - w - 4*v**2 + 62 + 2*v. Calculate 4*g(r) - 7*j(r).
-2*r**2 + r - 1
Let v(l) = l**3 - l**2 - 1. Let o(t) be the second derivative of -3*t**5/20 + t**4/12 + t**2/2 + 18*t + 1. Calculate -o(w) - v(w).
2*w**3
Let v(p) = -9*p**2 + 3*p. Let s(a) = -14*a**2 + 4*a + 4. Let y(n) = -2. Let g(c) = -s(c) - 2*y(c). Determine -5*g(r) - 7*v(r).
-7*r**2 - r
Let i(t) = 4*t**3 - 4*t**2 + 27. Let b(f) = -17*f**3 + 17*f**2 - 107. What is -6*b(x) - 26*i(x)?
-2*x**3 + 2*x**2 - 60
Let n(m) = -2 + 6 + 4 - 11. Let p = -1 - 4. Let v(j) = -j + 7. Give p*n(b) - 2*v(b).
2*b + 1
Let d(f) = -f. Let u(w) be the first derivative of 2*w**2 - w - 23. Let n(h) = 3*d(h) + u(h). Let b(a) = -a - 1. Give b(k) + 2*n(k).
k - 3
Let l(j) = j**3 - j**2. Let u(d) = 6*d**3 + d. Determine 2*l(p) - u(p).
-4*p**3 - 2*p**2 - p
Let s(g) = g**3 - g**2 + g + 1. Let c(w) be the second derivative of 0 - 1/4*w**4 + w**2 + 1/3*w**3 + 16*w. Give -c(y) + 2*s(y).
2*y**3 + y**2
Let y(p) = 3*p**2 + 41*p + 3. Let f(r) = 2*r**2 + 40*r + 3. Determine -5*f(o) + 4*y(o).
2*o**2 - 36*o - 3
Let q(f) = -f**3 + f + 1. Let k(n) = -n**2 + 12*n + 40. Let x be k(-3). Let a(d) = 22*d**3 - 5*d - 5. Give x*q(p) - a(p).
-17*p**3
Let v(d) = 1 - 3 + 4 + 0*d**2 + 4*d**2. Let s(h) = 17*h**2 + h + 8. Let a = 9 + -18. Determine a*v(y) + 2*s(y).
-2*y**2 + 2*y - 2
Let f(k) = -k**3 - k**2 + 1. Let i(a) = 5*a**2 + 11*a + 28. Let t(v) = -2*v**2 - 4*v - 10. Let c(z) = 4*i(z) + 11*t(z). Determine -3*c(s) + 6*f(s).
-6*s**3
Let j(i) = i**2 + 1 + i**3 + 5*i - 5*i. Let w(q) = -6*q**3 - 5*q**2 - 5. Let r = 7027 + -7028. Determine r*w(m) - 5*j(m).
m**3
Let v(b) = 120*b**2 - 6*b + 1. Let g(j) = 121*j**2 - 4*j + 2. Calculate -3*g(h) + 2*v(h).
-123*h**2 - 4
Let l(h) = -5*h + 4. Let u(a) = 10*a - 8. Let c(n) = -7*l(n) - 4*u(n). Let b(p) = 1. Determine 5*b(v) - c(v).
5*v + 1
Let n(a) = 1 - 1 + 0 - a. Let y be (-20 - -20 - (-6)/(-2)) + 2. Let k(f) = 10*f + f**3 + f**2 + f**3 - 3*f. Calculate y*k(z) - 6*n(z).
-2*z**3 - z**2 - z
Let z(o) = -3*o + 11. Let f(b) = -b + 4. Let q(c) = -8*f(c) + 3*z(c). Let k(m) = 2*m**2 - 4*m - 2. Determine -k(a) - 2*q(a).
-2*a**2 + 6*a
Let r(a) = 9. Let v(k) = 2. Let q(u) = -2*r(u) + 5*v(u). Let c(w) = -w + 9. Give -2*c(s) - 3*q(s).
2*s + 6
Let y(t) = -t**3 - 9*t**2 - 9*t - 6. Let a(w) = -w**2 - w - 1. Let z(j) = 27*j + 160. Let l be z(-6). Determine l*y(s) + 18*a(s).
2*s**3 - 6
Let g(v) = 14877*v**2 + 72*v - 72. Let a(q) = 1026*q**2 + 5*q - 5. Calculate -72*a(w) + 5*g(w).
513*w**2
Suppose -1065*x + 1129*x = -448. Let h(r) = 13*r + 10. Let o(n) be the first derivative of -9*n**2/2 - 7*n + 1. Give x*o(s) - 5*h(s).
-2*s - 1
Let y(b) = -13 + 12 + 0. Let p(d) be the third derivative of d**4/12 - 4*d**3/3 - 27*d**2. Determine p(w) - 8*y(w).
2*w
Let b(a) = 16*a**2 + 3*a - 4. Let r(q) = 8*q**2 + 2*q - 2. Calculate -6*b(k) + 10*r(k).
-16*k**2 + 2*k + 4
Let w(j) = 61*j + 3. Let o(a) = 1. Determine -4*o(b) + w(b).
61*b - 1
Let j = -49 - -46. Let y(u) = 4*u**2 + 2*u + 2. Let f(k) be the second derivative of 5*k**4/12 + k**3/3 + 3*k**2/2 - 22*k. What is j*y(w) + 2*f(w)?
-2*w**2 - 2*w
Let l be -1 + -1 - (-9)/3. Let d be (-20)/5 + l + 6. Let i(j) = -j**2 + 5*j. Let n(o) = 3*o. What is d*i(x) - 5*n(x)?
-3*x**2
Let j(k) = -15 + 9*k**2 + 2*k + 15 - 5*k**3. Let g(t) = 22*t**3 - 4*t**2 - t + 4. Let n(c) = 5*c**3 + 1. Let p(m) = -g(m) + 4*n(m). What is -4*j(u) + 9*p(u)?
2*u**3 + u
Let i(f) = f**2. Let g(k) be the third derivative of 0*k**4 - 4*k**2 + 1/40*k**6 + 0 + 0*k**3 + 0*k + 1/15*k**5. Calculate -g(y) + 4*i(y).
-3*y**3
Let p(z) be the third derivative of -5*z**4/24 - 7*z**3/6 + 3*z**2. Let m(t) be the first derivative of -3*t**2 - 8*t - 730. Determine 6*m(a) - 7*p(a).
-a + 1
Let l(w) = 2*w**2 + w - 39. Let k be l(-5). Let v(r) = -4*r + 7. Let z(m) be the first derivative of -m**2/2 + m + 1. Determine k*z(a) - v(a).
-2*a - 1
Let y(q) = 11*q**3 + 4*q**2 + 169. Let w(t) = -12*t**3 - 5*t**2 - 172. What is 4*w(x) + 5*y(x)?
7*x**3 + 157
Let y(f) = 58*f**3 - 6*f**2 + 50*f - 6. Let h(u) = -39*u**3 + 4*u**2 - 31*u + 4. Give 8*h(s) + 5*y(s).
-22*s**3 + 2*s**2 + 2*s + 2
Let f = 84 + -83. Let i(y) = y**2. Let k(h) = h**2 - h - 2. Let q be ((-8)/2)/(-2) - -10. Suppose -w + 5*w + q = 0. Determine f*k(b) + w*i(b).
-2*b**2 - b - 2
Suppose r + 2*s + 9 = 0, -r + 4*s = 3*s - 3. Let v(p) = p. Let j(l) = -2*l**2 + 7*l + 2. Determine r*j(c) + 5*v(c).
2*c**2 - 2*c - 2
Let q(l) = -2*l - 6. Suppose 4*o - 3*o = 3*c + 6, 5*o + c - 14 = 0. Let j(n) = 16*n + 5 - 2*n - 12*n. Calculate o*q(v) + 4*j(v).
2*v + 2
Let n(y) = 10*y**3 - 3*y**2. Let w(k) = 22*k**3 - 8*k**2 + 3*k. Let d(h) = 23*h**3 - 9*h**2 + 4*h. Let b(u) = -3*d(u) + 4*w(u). Calculate -3*b(o) + 5*n(o).
-7*o**3
Let w(x) = -43*x + 18. Let t(f) = -21*f + 8. Determine 7*t(z) - 3*w(z).
-18*z + 2
Let p(a) = -3*a**2 + 2*a + 1. Suppose -n = -3, 4*n - 6 = -5*l + 16. Let i(h) = h + 1. Determine l*i(k) - p(k).
3*k**2 + 1
Let r(j) = 6*j**2 - 2*j + 3. Let s(z) = z - 1. Determine 2*r(c) + 6*s(c).
12*c**2 + 2*c
Let m(h) = -h**2 - 30 - 19 + 48. Let t(p) = -8*p**2 - 3. What is 3*m(u) - t(u)?
5*u**2
Let j(x) = x**3. Suppose 7*k - 4*k + 12 = -3*z, 2*z = 5*k - 15. Let g(m) = 2*m**3. What is z*j(v) + g(v)?
-3*v**3
Let p(u) = -9 + 14*u - 8 - 5*u**3 + 2*u**3. Let n = 223 - 240. Let z(c) = c**3 - 5*c + 6. Calculate n*z(h) - 6*p(h).
h**3 + h
Let m be (-1)/4 - (6 + 150/(-24)). Let g(o) be the first derivative of -2 + 0*o**3 + 5/4*o**4 + 6*o + m*o**2. Let u(p) = 4*p**3 + 5. What is 5*g(j) - 6*u(j)?
j**3
Let f(m) = 18. Let i(p) = -13. Let z(a) = 5*f(a) + 7*i(a). Let n(o) = o + 2. What is 6*n(q) + 11*z(q)?
6*q + 1
Let r(x) = 5*x - 2. Let h(u) be the first derivative of 5 - 3*u**2 + 3*u + 1 + 5. Calculate -2*h(l) - 3*r(l).
-3*l
Let k(v) = -8*v - 1. Let l(j) = -24*j - 3. Calculate -8*k(t) + 3*l(t).
-8*t - 1
Let s(v) = 14*v**2 + 11*v + 5. Suppose -x = 4*w + 20, -x - 20*w + 15*w = 23. Let a(i) = -5*i**2 - 4*i - 2. Determine x*a(o) - 3*s(o).
-2*o**2 - o + 1
Let m(a) be the third derivative of -a**4/4 - a**3/3 + 4*a**2 - 22. Let f(h) = -31*h - 11. What is -2*f(s) + 11*m(s)?
-4*s
Let m = 16 - 10. Let d(s) = 696 - s**3 - 696. Let n(g) = g**3. Give m*d(z) + 7*n(z).
z**3
Let i(v) = v**2 + 7*v + 13. Let w be i(-4). Let s(g) = 3*g**2 + 4*g + 4. Let p(c) be the first derivative of c**2/2 + c + 10. Give w*s(q) - 4*p(q