- 1/2*m**3 - 12*m + 2*m**2 + 1/6*m**4. Let o(t) = 3*t**2 - 5*t + 7. Determine y*u(f) + 4*o(f).
-2*f**2 + f
Let q = 5 + -1. Let p(g) = -19*g + 5. Let r(x) = 3*x - 1. Let f(h) = p(h) + 6*r(h). Let z(o) = 2*o + 1. Give q*f(i) + 3*z(i).
2*i - 1
Let h(v) = v**3 - 4*v**2 - 11*v + 17. Let s(l) = 2*l**2 + 5*l - 8. What is 2*h(g) + 5*s(g)?
2*g**3 + 2*g**2 + 3*g - 6
Let j(h) = 5*h**2 + 4*h + 6. Let g be j(-4). Suppose g = 4*a + w - 3*w, w - 91 = -5*a. Let m(v) = -22*v - a*v + 35*v. Let t(x) = 4*x. What is 5*m(d) + 6*t(d)?
-d
Let p(j) = j + 6. Let d(u) = -17. Let x(s) = 2*d(s) + 7*p(s). Let i(q) = -1 + 0*q + 2 + q. Give -6*i(f) + x(f).
f + 2
Let t(h) be the second derivative of 0*h**2 + 18*h - 7/6*h**3 - 7/12*h**4 + 0. Let i be 2/(-5) - 86/10. Let c(j) = 3*j**2 + 3*j. What is i*c(d) - 4*t(d)?
d**2 + d
Let a(l) = -7*l - 3. Let g(j) = -9*j - 3. Determine -6*a(n) + 7*g(n).
-21*n - 3
Let s(t) = 1129*t**2 + 10*t + 4. Let u(y) = -1693*y**2 - 14*y - 6. Give 7*s(x) + 5*u(x).
-562*x**2 - 2
Let n(y) = 1. Let a(m) = 453*m - 6. What is -a(q) - 6*n(q)?
-453*q
Let x(m) = -171*m**3 + 2 + 9*m - 174*m**3 + 9*m**2 + 513*m**3 - 165*m**3. Let o(v) = v**3 + 4*v**2 + 4*v + 1. Calculate -9*o(f) + 4*x(f).
3*f**3 - 1
Let x(a) = -3*a**2 - 4*a + 30. Let f(p) = -4*p**2 - 5*p + 32. Calculate 4*f(d) - 5*x(d).
-d**2 - 22
Let m(o) = -273*o**3 - 4*o**2. Let p(f) = 274*f**3 + 3*f**2. Give 3*m(x) + 4*p(x).
277*x**3
Let a(f) = 4*f - 1. Let r(b) = 66*b**2 - 16*b. Calculate -4*a(v) - r(v).
-66*v**2 + 4
Let n(w) = 3*w**2 + 4*w - 4*w + w**3 - 6. Let x(a) be the third derivative of -a**6/120 - a**5/30 + 5*a**3/6 + 7*a**2 + 6. Determine -3*n(z) - 4*x(z).
z**3 - z**2 - 2
Let m = 15 - 18. Let i(d) = -120*d**2. Let w(n) = 11*n**2. Let g(p) = -3*i(p) - 32*w(p). Let l(k) = 17*k**2. Calculate m*l(r) + 7*g(r).
5*r**2
Let k(j) = -10*j + 7. Let i be (-3 + 4)/(((-12)/(-28))/(-3)). Let a(h) = -5*h + 3. What is i*a(l) + 3*k(l)?
5*l
Let y(g) = -g**3 + 5*g**2 - 3*g + 3. Let j(u) = -2*u**3 + 10*u**2 - 5*u + 5. Suppose 23*q - 163 + 48 = 0. Give q*y(r) - 3*j(r).
r**3 - 5*r**2
Let y(m) = -1. Let r(q) = 3*q - 6. Give 4*r(k) - 28*y(k).
12*k + 4
Let w(a) = a - 2. Let o(b) = -3*b - 13. Let i(s) = -o(s) + 4*w(s). Let g(l) = -1. Calculate 5*g(r) + i(r).
7*r
Suppose d = 5*d - 5*p + 1, 0 = -2*p - 6. Let n(v) = 5*v**3 + 4*v**2 + 4*v - 4. Let z(f) = 6*f**3 + 4*f**2 + 5*f - 5. Give d*z(w) + 5*n(w).
w**3 + 4*w**2
Let f = -91 - -89. Let o(j) = -j**3 + 2*j**2 + 2*j. Let i(u) = 4*u**2 + 7*u**2 + 7*u + 2*u**3 + 4*u - 7*u**3. What is f*i(v) + 11*o(v)?
-v**3
Let u(z) = -2*z**2. Let o(t) = -2*t**2 + 6*t - 3. Let y(i) = -3*i**2 + 10*i - 5. Let q(g) = -10*o(g) + 6*y(g). Calculate 6*q(b) + 7*u(b).
-2*b**2
Let n(h) = -h - 1. Let b(i) = 14*i + 2. Let c(s) = 3*s. Let p(m) = -b(m) + 5*c(m). Calculate 2*n(o) - p(o).
-3*o
Let r(c) = 459*c**2 - 6*c + 1. Let v(q) = -1378*q**2 + 17*q - 3. Determine 17*r(m) + 6*v(m).
-465*m**2 - 1
Let b(g) be the second derivative of g**4/2 + 2*g**3/3 + 9*g**2/2 + 211*g. Let o(v) = 3*v**2 + 2*v + 4. Calculate -2*b(z) + 5*o(z).
3*z**2 + 2*z + 2
Let n(h) = -5*h - 3. Let l(r) = r + 7 + 51*r - 41*r. What is -4*l(y) - 9*n(y)?
y - 1
Let g(l) = l**2 + l - 1. Let w(h) = -964*h**2 - 1446*h + 1446. Give 2892*g(f) + 2*w(f).
964*f**2
Let d(s) = 1. Suppose 4*h + h - 100 = 0. Let u be (-4)/16*1 + 45/h. Let m(b) = b**2 + 2. Give u*d(n) - m(n).
-n**2
Let g(q) = 70*q + 3. Let a(u) = -139*u - 7. Calculate 4*a(m) + 9*g(m).
74*m - 1
Let o(j) = j. Let t = 2 + 8. Let h be 15/2*8/t. Let n(m) = 8*m. Suppose 0 = -4*w + 3*y + 2*y - 9, 5*w + 1 = -4*y. Determine h*o(z) + w*n(z).
-2*z
Let t(k) = 77*k**3 + 3*k**2 - 6*k - 3. Let o(m) = 6700*m**3 + 260*m**2 - 520*m - 260. What is -6*o(n) + 520*t(n)?
-160*n**3
Let k(o) be the first derivative of -3*o**2/2 - 5*o + 92. Suppose 0 = -3*t + 6*t - 9. Let v(s) = s + 2. Determine t*k(h) + 7*v(h).
-2*h - 1
Let y(g) = -12*g**2 + 4*g + 11. Let p(k) = 25*k**2 - 7*k - 20. Determine 4*p(r) + 7*y(r).
16*r**2 - 3
Let d(x) = -2*x**3 - 4*x**2 - 2. Let m(t) = 2*t**3 + 5*t**2 + 2. Suppose -4*j + 3*i - 3 = 0, 0*j - 8 = 4*j - 4*i. Calculate j*m(z) + 4*d(z).
-2*z**3 - z**2 - 2
Let x(s) = -6 + 17*s + 2048*s**2 - 2087*s**2 - 11. Let v(q) = -13*q**2 + 6*q - 6. What is 17*v(b) - 6*x(b)?
13*b**2
Let s(i) = -i**3 + 2. Let c(x) = -14*x**3 + 2*x**2 - 12. What is -c(o) - 6*s(o)?
20*o**3 - 2*o**2
Let n(a) = a**3 - a**2 + 1. Let k(j) = 12*j**3 + 5*j**2 - 12. Let o(s) = -33*s**3 - 15*s**2 + 35. Let v(l) = -17*k(l) - 6*o(l). What is -15*n(w) - 3*v(w)?
3*w**3 + 3
Let u = 28 + -31. Let i(v) = 4*v**3 + 0*v**3 - 4189*v + 4186*v + 3. Let j(b) = -9*b**3 + 6*b - 7. Give u*j(h) - 7*i(h).
-h**3 + 3*h
Let k(d) = 4*d - 4. Let p(w) be the second derivative of w**5/120 - w**4/24 + w**3 - 7*w. Let j(a) be the second derivative of p(a). Calculate 10*j(g) - 2*k(g).
2*g - 2
Let t be (-88)/(-55) - ((-24)/10 - -2). Let p(b) = 17*b**2 + 2. Let d(n) = -273*n**2 - 33. Determine t*d(u) + 33*p(u).
15*u**2
Let p(b) = 21 - 4 - 4 - 7 - 5. Let d(c) = -2*c - 5. Give d(h) + 4*p(h).
-2*h - 1
Let o(s) = 15*s - 15. Let n(t) = 6*t - 41. Let b(m) = -7. Let g(l) = 5*b(l) - n(l). Give 12*g(q) + 5*o(q).
3*q - 3
Let g(v) = -7*v**3 + 11*v**2 - 2*v - 6. Let s(p) = -22*p**3 + 32*p**2 - 6*p - 17. Give 17*g(d) - 6*s(d).
13*d**3 - 5*d**2 + 2*d
Let q(x) = x + 1. Let r(j) = 6*j - 19. Calculate 4*q(a) - r(a).
-2*a + 23
Let d(l) = 5*l**2 - 3*l. Suppose c - 10280 = -10275. Let u(m) be the first derivative of c*m**2 - 16/3*m**3 + 7 + 0*m. What is -10*d(n) - 3*u(n)?
-2*n**2
Let k(s) = 2*s**2 - 6 - 4*s + 9 + 8*s. Let v be k(-2). Let u(o) = 2*o - 3. Let n(q) = -q + 1. Determine v*n(r) + u(r).
-r
Suppose 2*x - 7*x = -4*d + 1, -11 = -5*d + 3*x. Let f(r) = 4*r**3 - 9*r**2 - 5*r - 1. Let k(t) = 3*t**3 - 8*t**2 - 4*t - 1. Calculate d*f(h) - 5*k(h).
h**3 + 4*h**2 + 1
Let f(i) = -1. Let g be 3*(-4)/36*-135. Suppose z = -4*d + 36, g = -0*d + 5*d + 4*z. Let u(n) = n + 5. Calculate d*f(o) + 2*u(o).
2*o + 1
Let n(i) = -3*i**2 - 5*i + 1. Suppose 2 = 6*s + 8. Let u(q) = q**3 - q**2 - q. What is s*n(p) + 3*u(p)?
3*p**3 + 2*p - 1
Let u(k) = -168*k + 1 + 165*k + 3 - 5 - 3. Let b(a) = 7*a + 9. Calculate 2*b(w) + 5*u(w).
-w - 2
Let u(c) = 11*c - 9. Let y(r) = -7*r + 6. Let w(n) = 5*u(n) + 8*y(n). Let j(o) = -o + 4. What is 4*j(g) - 5*w(g)?
g + 1
Let z(u) = 2*u. Let h(w) = -7*w + 3. Give -3*h(r) + 3*z(r).
27*r - 9
Let x(p) = -p**3 - p**2 + p + 1. Let j(u) = -19*u**3 - 16*u**2 + 6*u + 5. Determine j(w) - 6*x(w).
-13*w**3 - 10*w**2 - 1
Let q = 3 + -1. Let w(h) = -h + 2. Let o(n) = -1. Let x(t) = 4*t - 3. Let f be 2*1/4*-2. Let l(j) = f*x(j) - 4*o(j). Give q*l(a) - 7*w(a).
-a
Suppose -s + 12 = 5*w, -3*w + s = -4 - 0. Let o(c) = 3*c**2 - 8*c**w + c - 4*c**2 - 4*c + 1. Let b(q) = 5*q**2 + 2*q - 1. Determine -5*b(l) - 3*o(l).
2*l**2 - l + 2
Let q(j) = -2*j**2 - 11*j**2 - 7*j**2 + 17. Let z = 65 + -36. Let t = z - 23. Let s(m) = -7*m**2 + 6. Give t*q(n) - 17*s(n).
-n**2
Let g(m) = -120*m. Let k be ((7 - 4) + -3)/(-1 + -1). Suppose -3*q + 5*q - 4 = k. Let v(w) = -7*w. What is q*g(c) - 35*v(c)?
5*c
Let w(m) = -20*m**3 - 3*m + 11. Let q = 646 - 643. Let c(y) = 7*y**3 + y - 4. What is q*w(i) + 8*c(i)?
-4*i**3 - i + 1
Let v(m) = 17*m**2 + 6*m + 12. Let f(i) = 851*i**2 + 299*i + 598. Give -6*f(n) + 299*v(n).
-23*n**2
Let o(u) = -u**2 + 2*u. Suppose 0 = 6*d - 3*d - 9. Suppose -d*t = -m + 6*m + 16, 0 = -5*t - 10. Let r(c) = -3*c. Determine m*r(z) - 3*o(z).
3*z**2
Let v(l) = -l**3 - 8*l - 4. Let h(w) be the third derivative of w**6/120 + 7*w**4/24 + w**3/2 + 2*w**2 - 5. What is 6*h(s) + 5*v(s)?
s**3 + 2*s - 2
Let a(f) = 12*f**3 + 10*f. Let n(p) = p**3 + p. Let o be 134/11 - 6/33. Let w be o/54 + (-92)/9. Calculate w*n(c) + a(c).
2*c**3
Let q(a) = -244*a**2. Let h(u) = -158844*u**2. What is -3*h(g) + 1952*q(g)?
244*g**2
Let u(h) = h. Suppose 4*v = 2*w + 10, -5*v - 3*w + 2*w = -2. Suppose -3*n + 2*p + 6 = n, -13 = 3*n + 2*p. Let c(j) = 1. What is n*u(y) + v*c(y)?
-y + 1
Let l(o) = o**3 + 61*o**2 + 5. Let f(m) = -2*m**3 - 62*m**2 - 6. Determine -5*f(q) - 6*l(q).
4*q**3 - 56*q**2
Let n(w) = -22*w + 3 - 20 - 5. Let d(z) = 9*z + 9. Let v be 34/6 + 2/(-3). Suppose 0 = -28*c - 58*c + 1032. Calculate c*d(p) + v*n(p).
-2*p - 2
Let q(k) = 426*k + 8. Let t(o) = 213*o + 3. Calculate 2*q(v) - 5*t(v).
-213*v + 1
Let i(m) = -8