- 3*j**2 - 3. Calculate 3*r(d) + 8*w(d).
-2*d**3 + 3*d
Let p(b) = -12*b**2 + 17*b - 9. Let a(s) = 8*s**2 - 11*s + 6. Let y(c) = -8*a(c) - 5*p(c). Let u(g) = 11*g**2 - 8*g + 8. Calculate 3*u(t) + 8*y(t).
t**2
Let l(w) = 3*w - 14. Let j(y) be the third derivative of y**4/24 - 5*y**3/6 + 13*y**2. Give 17*j(p) - 6*l(p).
-p - 1
Let h(s) = -2*s**2 - 5*s. Let m(q) be the first derivative of -2*q**3 - 7*q**2 + 1. Let p(b) = -b**2 + 226*b - 665. Let t be p(3). What is t*m(w) - 11*h(w)?
-2*w**2 - w
Let y(f) = 9*f - 6. Let o(u) = 5*u**2 - 2*u - 1. Let n be o(-1). Let l(k) = -10*k + 7. Let b(q) = n*l(q) + 7*y(q). Let p(x) = -x. Determine -b(a) - 2*p(a).
-a
Let i(c) = -c - 3. Let d(s) be the third derivative of -s**4/8 - 4*s**3/3 - 65*s**2. What is -3*d(t) + 8*i(t)?
t
Let u(p) = -6567 - 6570 + 13136. Let y(m) = 2 - 2*m**2 + 0*m + 4*m - 6*m. Determine -2*u(w) - y(w).
2*w**2 + 2*w
Let o(s) = s**2 - 3*s - 1. Let w(q) = 4*q**2 - 8*q - 20. Give -2*o(i) + w(i).
2*i**2 - 2*i - 18
Let g(z) = 51*z**2 - 21*z + 17. Let d(f) = -17*f**2 + 7*f - 6. Calculate 17*d(r) + 6*g(r).
17*r**2 - 7*r
Let l(c) = 33*c + 19. Let f(m) = 27*m + 19. Give -5*f(q) + 4*l(q).
-3*q - 19
Let c(m) = 4*m**2 - 13*m - 4. Let j(x) = -x**3 - 11*x**2 + 37*x + 11. What is -11*c(i) - 4*j(i)?
4*i**3 - 5*i
Let c(y) = 6*y**3 - y**2 - 5*y - 3. Let b(i) = -5*i**3 - i**2 + 4*i + 3. Determine 5*b(m) + 4*c(m).
-m**3 - 9*m**2 + 3
Let i(h) = 69*h + 7. Let x(b) = b - 2. Calculate 2*i(j) + 6*x(j).
144*j + 2
Let a(k) be the first derivative of -k**3/3 - 5*k**2/2 + k - 10. Let h(u) = u**2 + 4*u - 1. Let s(p) = -5*a(p) - 6*h(p). Let d(f) = f + 1. Give -d(y) + s(y).
-y**2
Let t = 27 + -25. Let r be 1/(-2)*-2*3. Let u(v) = 4*v**3 - 106*v**2 + 107*v**t + 0*v**3 - 3*v**r. Let b(m) = -3*m**3 - 4*m**2. Give -3*b(p) - 12*u(p).
-3*p**3
Let q(x) = 34*x**2 + 7*x - 18. Let f(w) = 18*w**2 + 4*w - 10. What is 11*f(u) - 6*q(u)?
-6*u**2 + 2*u - 2
Let q(p) = 16*p + 21. Let i(l) = 46*l + 63. What is -6*i(f) + 17*q(f)?
-4*f - 21
Let n(t) = -6*t - 65. Let p(u) = -4*u - 43. Give -5*n(w) + 7*p(w).
2*w + 24
Let y(i) = -i + 2. Let k(g) = -4*g + 15. Let r(c) = -k(c) + 6*y(c). Let v(m) = m + 1. Suppose 5*x + 3*f + 11 = 0, -4*f - 11 = 5*x - 2*x. Give x*r(u) - 3*v(u).
-u
Let z(q) = -10 + 12 + 4 + 2*q + 3*q. Let o(x) = 9*x + 11. Determine 6*o(h) - 11*z(h).
-h
Let n(q) = -3*q**2 - 4*q - 6. Let p(i) = -8*i**2 - 11*i - 17. Let r(f) = -f**3 + 8*f**2 + f - 4. Let b be r(8). Let a = 953 + -964. Calculate a*n(j) + b*p(j).
j**2 - 2
Let k(a) = a**3 - a. Let j(v) = -164*v**3 - 10*v - 2. What is j(b) - 10*k(b)?
-174*b**3 - 2
Let z(g) = 2*g**2 - 3. Let q(x) = -x**2 - 1. Suppose -5*c = -10 - 5. Give c*q(t) - z(t).
-5*t**2
Suppose -3*o - 23 = -5*z + 6, -4 = 2*z. Let n(t) = 65 - 70 + 0*t - 3*t. Let k(h) = -7*h - 11. Determine o*n(g) + 6*k(g).
-3*g - 1
Let t(w) = w + 1. Let c(y) = -19*y - 10. Give -c(r) - 4*t(r).
15*r + 6
Let k(n) = 5*n + 4. Let m(f) = 1. What is k(u) - m(u)?
5*u + 3
Let a(t) = -67*t**2 + 16*t - 11. Let s(j) = -22*j**2 + 6*j - 4. Give -3*a(x) + 8*s(x).
25*x**2 + 1
Let s(p) = -4*p - 3. Let x(w) = -12*w - 8. Calculate 16*s(i) - 5*x(i).
-4*i - 8
Let j(g) = g**3 + 5*g**2 + g + 28. Let w(l) = -2*l**3 - 7*l**2 - l - 41. Calculate 7*j(k) + 5*w(k).
-3*k**3 + 2*k - 9
Let k(s) = 2*s**2 - 23*s - 2. Let x(w) = w**2 - 12*w - 1. What is -6*k(l) + 11*x(l)?
-l**2 + 6*l + 1
Let w(q) = 2*q**2 + 10*q + 5. Let f(t) = 0*t - 20 + 32 - 14 - t**2 - 5*t. What is -5*f(r) - 2*w(r)?
r**2 + 5*r
Let d(l) = -2*l**2 - 11*l + 29. Let j(q) = q**2 + 5*q - 16. Give -2*d(m) - 5*j(m).
-m**2 - 3*m + 22
Let n(x) = -x**2 - 311*x - 12. Let z(k) = k**2 + 311*k + 14. Determine 7*n(c) + 6*z(c).
-c**2 - 311*c
Let j(n) = 6*n - 54. Let s(z) = 1. Let d(w) = w**3 - 5*w**2 - 18*w - 46. Let u be d(8). Calculate u*j(p) + 108*s(p).
12*p
Let r = -1970 - -1977. Let o(w) = 52*w - 1. Let u(t) = 35*t - 1. What is r*u(n) - 5*o(n)?
-15*n - 2
Let z(r) = 4*r**3 + 3 - 5*r + 0 - r**2 + 2*r**2. Let i(c) be the first derivative of c**2 - 18 - c - 1/2*c**4 + 0*c**3. Determine -5*i(p) - 2*z(p).
2*p**3 - 2*p**2 - 1
Let r(q) = 8*q - 20. Let l(n) = 5*n - 14. Calculate -7*l(f) + 5*r(f).
5*f - 2
Let y(k) = 10*k**3. Let q(r) = 20*r**3 + 2*r - 2. Let a(f) = 40*f**3 + 5*f - 5. Let b(w) = -2*a(w) + 5*q(w). What is -6*b(o) + 11*y(o)?
-10*o**3
Let g(v) = -2*v - 3. Let n(f) = 5*f + 6. Give -5*g(p) - 3*n(p).
-5*p - 3
Let n(h) = -9*h**3 - 5*h**2 - 3. Let o = 12 + -3. Let a be o/(3 - (-24)/(-9)). Suppose -5*v = -a + 2. Let x(f) = 4*f**3 + 2*f**2 + 1. Determine v*x(k) + 2*n(k).
2*k**3 - 1
Let b(r) = -r**3 - 3*r**2. Let d(x) = 2*x**3 + 3*x**2. Suppose -4*k + 3*j = -16, 3*k + k = -4*j + 16. Calculate k*d(t) + 3*b(t).
5*t**3 + 3*t**2
Let q(n) = 452*n**3 + 1356*n**2. Let t(u) = -u**3 - 4*u**2. Give 5*q(o) + 1695*t(o).
565*o**3
Let w(d) = d - 2*d + 3*d + 6 - 2. Let i be w(-5). Let u(s) = s. Let m(o) = -3*o. Suppose -8 = 8*f - 0. Calculate f*m(v) + i*u(v).
-3*v
Let c(u) = 6*u - 3. Suppose 2*j + 63 = -19*j. Let s(g) = -5*g + 4. Determine j*c(l) - 4*s(l).
2*l - 7
Let u(t) = 5*t**2 + 3*t + 6. Suppose -5*g + 12 = -3. Let n(l) = 4*l**2 + 2*l + 6. What is g*n(f) - 2*u(f)?
2*f**2 + 6
Let x(b) = 6*b**2 - 3*b + 12. Let p(k) = 5*k**2 - 3*k + 11. Give 5*p(c) - 4*x(c).
c**2 - 3*c + 7
Let x(p) be the first derivative of 10*p**3/3 + 35*p**2/2 + 35*p - 248. Let j(k) = k**2 + 4*k + 4. Calculate 35*j(l) - 4*x(l).
-5*l**2
Let b(p) = -7*p + 3. Let g(t) = 6*t - 1. Let i(j) = -7*j + 1. Let q(a) = 4*g(a) + 3*i(a). Let r be (0 + 1)/((-1)/5). Calculate r*q(k) - 2*b(k).
-k - 1
Let j(h) = 3*h**2 - 92*h + 3. Let n(m) = -4*m**2 + 91*m - 4. Determine -6*j(q) - 5*n(q).
2*q**2 + 97*q + 2
Let b(r) = -r. Let s(z) = 2*z - 3. Let p(w) = 5*w - 8. Let v(d) = -6*p(d) + 17*s(d). Let l(c) = 12*c - 10. Let i(a) = 5*l(a) - 16*v(a). What is -b(h) - i(h)?
5*h + 2
Let y(j) be the third derivative of -j**5/60 - j**4/6 - j**2. Let p(l) = 0*l - 2*l**2 - 19*l + 10*l. What is -3*p(c) + 7*y(c)?
-c**2 - c
Let n = 69 + -69. Let d(y) = 2 - 1 + n - 2*y. Let a(p) = 3*p - 2. Determine 3*a(i) + 4*d(i).
i - 2
Let d(u) = -11*u - 22. Let z(t) = -10*t - 22. Determine -4*d(x) + 5*z(x).
-6*x - 22
Let f(t) = t**2 - 84*t + 3. Let x(u) = -3*u**2 + 252*u - 8. Give 8*f(k) + 3*x(k).
-k**2 + 84*k
Let a(i) = i + 1. Let q(w) = 2*w**2 + 68*w - 4. Give 3*a(y) + q(y).
2*y**2 + 71*y - 1
Let g(z) = 3*z + 22. Let f(a) = -a - 9. Let s(h) = 5*f(h) + 2*g(h). Let n(i) = 3*i - 3. Suppose 3 = -5*y - 7. Give y*n(r) + 5*s(r).
-r + 1
Let i(n) = -2*n + 2. Let v(k) = -3*k - 28. Let t be v(-9). Let p(q) = -q. Suppose -c = -0*c - 1. Calculate c*p(u) + t*i(u).
u - 2
Let j(a) = a. Let t(f) = 14*f + 6. Let h(g) = -1. Let x(i) = -5*h(i) - t(i). Give 6*j(v) + x(v).
-8*v - 1
Let h(n) = -32*n**2 - 2*n - 3. Let j(b) = 29*b**2 + 3*b + 2. Give 2*h(v) + 3*j(v).
23*v**2 + 5*v
Let s(k) = -k**2 - k. Let v(n) = 9*n. Suppose 35*z - 27 = 38*z. What is z*s(a) - v(a)?
9*a**2
Let q(z) = -z**2 + 2*z - 2. Let b = 20 - 17. Let v(l) = 8*l - 6 - 12 + b*l**2 + 10 - 7*l**2. Calculate -9*q(n) + 2*v(n).
n**2 - 2*n + 2
Let a(w) = -3*w - 4. Let o(h) = -24 + 11*h - 3 - 32*h. Let s = -79 - -28. Let f = s + 24. Determine f*a(l) + 4*o(l).
-3*l
Let f(r) = -10*r + 536. Let u(c) = 14*c - 537. Give -4*f(l) - 3*u(l).
-2*l - 533
Let y(n) be the third derivative of n**4/24 - 209*n**2. Let d(x) = -2*x + 4. What is d(u) + 4*y(u)?
2*u + 4
Let d(b) = b + 6. Let l(r) be the third derivative of r**3/6 - 96*r**2. Calculate 2*d(t) - 14*l(t).
2*t - 2
Let s be 4 - ((-7)/(-1))/(-7). Let n(z) = 9*z**3 + 5*z**2 + 5*z. Let o(a) = -a**2 - a. Determine s*o(x) + n(x).
9*x**3
Suppose 2189 + 191 = 35*p. Let z(y) = 29*y**2 + 5. Let c(f) = -391*f**2 - 68. Calculate p*z(o) + 5*c(o).
17*o**2
Let i(j) = -2*j**2 - 9*j - 4. Let z(h) = -33*h + 1 - 10 - h**2 + 2. Let k(r) = 17*r + 3. Let l(f) = 5*k(f) + 3*z(f). What is 8*i(p) - 5*l(p)?
-p**2 - 2*p - 2
Let k(c) = -19*c**2 - 11*c - 9. Let t(f) be the third derivative of 3*f**5/20 + 5*f**4/24 + 2*f**3/3 + 166*f**2. Determine -3*k(a) - 7*t(a).
-6*a**2 - 2*a - 1
Let y(j) = j**2 + 2*j + 1. Let h be (2 + -6)*(-9)/12. Let l(v) = -3*v**2 - 2*v**2 - 2*v + 0*v**2 + 4*v**2. Calculate h*l(q) + 2*y(q).
-q**2 - 2*q + 2
Let r(m) = 17*m**3 + 5*m**2 + 37. Let h(s) = -42*s**3 - 12*s**2 - 92. What is 5*h(w) + 12*r(w)?
-6*w**3 - 16
Let y(n) = n + 17. Let g