hat is 2*i(a) + r(a)?
a
Let m(x) be the third derivative of x**6/40 - x**5/12 - x**4/8 + 9*x**2. Let s(f) = -8*f**3 + 14*f**2 + 8*f. Determine 11*m(i) + 4*s(i).
i**3 + i**2 - i
Let i(f) = -f + 10. Let g(s) = 3. Let y(d) = d**3 + 12*d**2 + 9*d - 2. Let m be y(-11). Let q = -18 + m. Determine q*i(p) - 7*g(p).
-2*p - 1
Let q(t) = -63*t**2. Let d(s) = -4*s**2. Calculate -99*d(k) + 6*q(k).
18*k**2
Let u(t) = 16*t**3 + 2*t**2 - 2*t + 2. Let h(j) = -161*j**3 - 21*j**2 + 21*j - 21. Give 2*h(w) + 21*u(w).
14*w**3
Let h(b) = -2*b - 3. Let j(i) = -3*i - 5. Determine -8*h(r) + 5*j(r).
r - 1
Let s(u) = 5*u + 2. Let m(c) = -14*c - 6. Determine 3*m(w) + 10*s(w).
8*w + 2
Let l(h) = h - 10. Let r(i) = -i + 11. What is -6*l(m) - 5*r(m)?
-m + 5
Let m(o) = 6*o**2 + 4*o + 4. Let v(h) = -h**2 + 3*h + 4*h - 1 - 8*h. Let f = 0 - -1. What is f*m(n) + 4*v(n)?
2*n**2
Let u(q) = -4*q**3 - 4*q - 1. Let t(p) = 5*p**3 + 4*p + 1. Calculate 4*t(j) + 3*u(j).
8*j**3 + 4*j + 1
Let n(v) = 2*v**2 + 14 - 3*v**2 - 13. Let s be (-38)/(-12) - 2/12. Let f(c) = -2*c**2 + 5. Give s*n(k) - f(k).
-k**2 - 2
Let r(p) = 6*p - 9. Let d(y) = -3*y + 5. Let u be 2/(-3) + (-187)/(-33). Determine u*d(m) + 3*r(m).
3*m - 2
Let x(z) = z + 2. Let m(p) = 4*p - 2 + 5 + 2 + 4. Let b(n) = -9*n - 19. Let j(i) = 2*b(i) + 5*m(i). Determine 2*j(w) - 7*x(w).
-3*w
Let c(h) = h**3 - h**2 - h - 1. Let t(z) = 5*z**3 - 6*z**2 - 5*z - 6. Let k = -15 + 16. Let w be -2*1 + (8 - 12). Calculate k*t(u) + w*c(u).
-u**3 + u
Let c = -15 - -18. Let o(y) = 24*y - 24. Let a(p) = -5*p + 5. Calculate c*o(x) + 14*a(x).
2*x - 2
Suppose 0 = 7*a - 30 - 26. Let u(t) = t**3 + 8*t**2 - 8*t - 8. Let l(v) = v**3 + 5*v**2 - 5*v - 5. Give a*l(m) - 5*u(m).
3*m**3
Let n(b) = -b**2 - b. Let u be (5 - 2) + 4/2. Let i(s) be the third derivative of -s**6/60 + s**5/15 + 5*s**4/24 + s**3/3 - 5*s**2. Give u*n(g) + i(g).
-2*g**3 - g**2 + 2
Let w(u) = u**2 - u + 1. Let v(p) = 2*p**2 - 2*p + 3. Give v(b) - 3*w(b).
-b**2 + b
Let p(w) = 7*w + 14. Let l(b) = -4*b - 7. Let t(f) = -7*l(f) - 3*p(f). Let d(o) = -3 - o - 2*o - 2*o + 4*o - 2*o. Determine -10*d(y) - 4*t(y).
2*y + 2
Let s(u) = 430 + 5*u**3 + 0*u + 4*u - 434 + 4*u**2. Let o(t) = -5*t**3 - 5*t**2 - 5*t + 5. Determine 4*o(x) + 5*s(x).
5*x**3
Let c(t) = -t**3 - t**2 - 2. Let y(d) = -2*d**3 - 3*d**2 - 3. Determine 5*c(a) - 2*y(a).
-a**3 + a**2 - 4
Let j be (13/3)/(16/(-48)). Let v(t) = 11*t**2 + 13*t + 4. Let k(d) = -5*d**2 - 6*d - 2. Calculate j*k(w) - 6*v(w).
-w**2 + 2
Let o(p) = -9*p**3 - 3*p**2 - 2*p + 3. Let f(r) = -17*r**3 - 5*r**2 - 3*r + 5. Determine -3*f(w) + 5*o(w).
6*w**3 - w
Suppose 0 = -0*w + 2*w + 5*h + 9, 0 = w + 3*h + 5. Let j(r) = 3*r**2 + 4*r + 2. Let d(v) = -7*v**2 - 8*v - 5. What is w*d(z) - 5*j(z)?
-z**2 - 4*z
Suppose 5*t - 7 = 23. Let b(x) = -x**3 + 6*x**2. Let a(k) = 3*k**3 - 17*k**2. Let n(c) = -3*c + 2. Let f be n(-5). Determine f*b(l) + t*a(l).
l**3
Suppose -4*o - 12 = 4*h, 4*o - 3*h + h = 12. Let y(p) = 6*p**3 - 4. Let m(c) = -c**3 + c**2 + 1. Give o*y(i) + 4*m(i).
2*i**3 + 4*i**2
Let h(s) = -35*s. Let f(k) = 17*k. Give 13*f(d) + 6*h(d).
11*d
Let w(h) = 9*h - 2. Let b(l) = -l**2 + 13*l - 7. Let z be b(11). Suppose -3*t + z = -8*t. Let y(m) = -5*m + 1. Determine t*w(v) - 5*y(v).
-2*v + 1
Let a(d) = -16*d - 4. Let q(s) = 64*s + 17. What is 26*a(o) + 6*q(o)?
-32*o - 2
Let a(y) = -19*y + 9. Let b(m) = -20*m + 11. Determine 4*a(j) - 3*b(j).
-16*j + 3
Let j(k) = 3*k**2 - 15. Let p(t) = 1. Give 3*j(a) + 45*p(a).
9*a**2
Let x(k) = -k - 3. Let d = 48 + -45. Let r(n) = 2. What is d*r(j) + 2*x(j)?
-2*j
Let o(w) = -w**3 - w - 1. Let n(q) = 12*q + 12. Calculate -n(z) - 12*o(z).
12*z**3
Let x(m) = m + 3*m - m**3 - 2*m - 3*m. Let s = 10 - 6. Suppose -2 = 2*l - s. Let p(d) = -4*d**3 - 2*d. Calculate l*p(o) - 2*x(o).
-2*o**3
Let j(o) = 4*o**2 - o - 10. Let x(g) = 6 - 3*g**2 + 1 + 4*g - g - 2*g. What is -5*j(k) - 7*x(k)?
k**2 - 2*k + 1
Let g(k) = k - 1. Let i(o) = -8*o + 7. Let s(x) = 4*x - 4. Let l(t) = -4*i(t) - 7*s(t). Give g(f) + l(f).
5*f - 1
Let x(b) = b - 4. Let h(a) = 6*a - 25. What is 6*h(f) - 34*x(f)?
2*f - 14
Let c(y) = -24*y + 32. Let b(d) = -d + 1. Give 32*b(n) - c(n).
-8*n
Let d(j) = -42 - 16*j**3 + 35 + 4*j + 3*j. Let n(f) = -5*f**3 + 2*f - 2. What is 2*d(b) - 7*n(b)?
3*b**3
Let v(n) = 4*n**3 + 1. Let f be v(-1). Let h = 11 + -19. Let g(s) = -3*s + 2. Let i(o) be the first derivative of o**2/2 - o + 1. What is f*g(t) + h*i(t)?
t + 2
Let w(z) be the third derivative of -z**6/120 + z**5/60 - z**3/6 - 7*z**2. Let c(j) = 7*j**3 - 5*j**2 + 6. Determine c(g) + 6*w(g).
g**3 + g**2
Let h(m) = 3. Let l(a) = -1. Let y(g) = -g - 5. Let t(o) = 6*l(o) - y(o). Determine h(u) + 2*t(u).
2*u + 1
Let o(q) = q**3 + 4*q**2 + 3*q - 5. Let v be ((-12)/(-24))/(3/18). Let a(f) = -f**3 - f**2 - f + 1. What is v*a(m) + o(m)?
-2*m**3 + m**2 - 2
Let p(f) = -11*f + 21. Let a(y) = 5*y - 10. What is 13*a(o) + 6*p(o)?
-o - 4
Let y(k) = 3*k. Let j(q) = -7*q. Let f be -3 - -5*(-10)/25. What is f*y(p) - 3*j(p)?
6*p
Let l(n) = -4*n - 3. Let k = 42 - 38. Let q(j) = -2*j - 1. Give k*l(f) - 9*q(f).
2*f - 3
Let g(q) = 6*q**3 - 4*q**2 - 7*q + 5. Let b(j) = -2*j - 7*j**3 + j - 6 + 5*j**2 + 2*j + 7*j. Determine -5*b(t) - 6*g(t).
-t**3 - t**2 + 2*t
Let b(w) = -110*w. Let g(t) = -10229*t. What is -371*b(s) + 4*g(s)?
-106*s
Let c(b) = 9*b**2 - 2*b + 1. Let i(y) = -4*y**2 + y. What is 2*c(j) + 5*i(j)?
-2*j**2 + j + 2
Let i(m) = 9*m**3 - 7*m**2 + 7*m - 7. Let q(l) = 4*l**3 - 3*l**2 + 3*l - 3. Let t be 3/(-9) - (-48)/(-18). Calculate t*i(j) + 7*q(j).
j**3
Let y(q) = 4*q**3 - 17*q**2 + 17*q + 12. Let k(w) = -w**3 + 6*w**2 - 6*w - 4. What is 17*k(z) + 6*y(z)?
7*z**3 + 4
Let c(n) = -5*n**2 + 3. Let t(q) = -1 - 10*q**2 - 5*q**2 + 17*q**2. What is 4*c(y) + 9*t(y)?
-2*y**2 + 3
Let p(r) = -11*r + 23. Let d(w) = -5*w + 11. What is -13*d(g) + 6*p(g)?
-g - 5
Let i(k) = -18*k**2 + 8. Let v(j) = 53*j**2 - 23. Calculate -17*i(l) - 6*v(l).
-12*l**2 + 2
Let m(k) = 11*k + 5. Let p(q) = 6*q + 3. Determine -3*m(f) + 5*p(f).
-3*f
Let f(n) be the first derivative of 2*n**2 + 2*n + 4. Let s(p) = -p. Suppose 2*x - 22 = 4*z, -2*x - 3*z - 1 - 12 = 0. Calculate x*f(u) + 3*s(u).
u + 2
Let r(u) = -7*u - 2. Let f(l) = 27*l + 9. Calculate 2*f(s) + 9*r(s).
-9*s
Let j(k) = 5*k**3 + 4*k**2 - 3. Let v(f) = -19*f**3 - 17*f**2 + 13. What is 26*j(m) + 6*v(m)?
16*m**3 + 2*m**2
Let y be -1*1 + (-2 - -2). Let x be 4/18 + (-28)/(-36). Let i(t) = 2*t**2 + 5 - x - 2*t - 5 - 4*t**2. Let v(k) = k. Calculate y*i(g) - 2*v(g).
2*g**2 + 1
Let w(h) = 6*h**2 + 4. Let f(i) = i**2 + 1. Suppose -3*k + 30 = 3*k. Give k*f(v) - w(v).
-v**2 + 1
Let a(l) = l**2 + l - 1. Let o(v) = 5*v**2 + 10*v - 10. Give 10*a(s) - o(s).
5*s**2
Let d(k) = k. Let z(n) = 5*n. Let y(h) = -6*d(h) + z(h). Suppose -5 = 3*u - 3*q - 2, 3 = -3*u + 5*q. Let t(c) = 4*c + 2. Determine u*t(v) - 2*y(v).
-2*v - 2
Let z(l) = -11*l**2 - 4*l - 2. Let k(b) = -10*b**2 - 3*b - 1. Give 4*k(w) - 3*z(w).
-7*w**2 + 2
Suppose 0 = -37*u + 32*u - 10. Let m(t) = 27*t**2. Let j(a) = -4*a**2. What is u*m(k) - 15*j(k)?
6*k**2
Let l(h) = -h**2. Let r(x) = 16*x**2. Determine -2*l(i) - r(i).
-14*i**2
Let i(a) = 21*a + 4. Let v(k) = k. Let n(w) = -2*w - 1. Let s(t) = n(t) - 3*v(t). Calculate -2*i(q) - 9*s(q).
3*q + 1
Let s(j) = 6*j - 1. Let v(z) = -7*z + 2. Determine 6*s(b) + 5*v(b).
b + 4
Let v(u) = -u**2 + 4*u. Let a(k) = k**2 - 3*k - 1. Let q(h) = 4*a(h) + 3*v(h). Let i(t) = -1. Give 18*i(w) - 4*q(w).
-4*w**2 - 2
Let g(s) = s + 1. Let i(j) = 9*j + 9. Let y(u) = -14*u - 14. Let q(w) = -7*i(w) - 5*y(w). Give -6*g(r) + q(r).
r + 1
Let u(o) = 9*o**2 + 2*o + 39. Let k(v) = 14*v**2 + 3*v + 59. Calculate -5*k(l) + 8*u(l).
2*l**2 + l + 17
Let h(z) be the second derivative of -z**3/2 + 9*z**2/2 + z. Let m(k) be the second derivative of -k**3/6 + 2*k**2 - 4*k. Determine 2*h(c) - 5*m(c).
-c - 2
Suppose -3*v - 9 = -0*v. Let a(w) = -2*w + 5. Suppose 9*d - 4*d + 33 = -4*z, -2*z = 4*d + 24. Let r(y) = y - 3. Give d*r(x) + v*a(x).
x
Let i(o) = -2*o**3 - 3*o. Let u(p) = p**2 - 9*p + 11. Let y be u(8). Suppose -5*a - 2 = -12. Let n(b) = b**y + a*b - 2*b**3 - 4*b. Give -4*i(w) + 6*n(w).
2*w**3
Let i(r) = 25*r**2 + 35. Let l(z) be the second derivative of z**4/6 + 3*z**2/2 + 38*z. Determine 3*i(t) - 35*l(t).
5*t**2
Let u = 3 - 2. Let c be 1 - (-2