24). What is r*a(f) + 14*z(f)?
6*f - 2
Let o(w) = 2*w - 5. Let v(h) = -h + 1. Let m = -38 + 55. Let c = m - 14. Let k be -1 - (c - (6 + -3)). Calculate k*o(y) - 3*v(y).
y + 2
Let h(k) = 3*k**3 - 8*k**2 + 4*k + 1. Let j(z) = -21*z**3 + 54*z**2 - 27*z - 6. Determine -27*h(o) - 4*j(o).
3*o**3 - 3
Let l(q) be the third derivative of -q**4/3 - q**3/3 + q**2 + 34. Let c(p) = -7*p - 2. What is 5*c(t) - 4*l(t)?
-3*t - 2
Let n(q) = 4*q**2 - 4*q + 2. Suppose x + 4*x - 2*z = -21, 2*z + 19 = -3*x. Let c(a) = 9*a**2 - 8*a + 5. What is x*n(v) + 2*c(v)?
-2*v**2 + 4*v
Let z(a) = 9*a**3 + 6*a. Let h = -138 + 132. Let i(g) = g**3 + g. Determine h*i(f) + z(f).
3*f**3
Let g(m) = -m**3 - m**2. Let z(o) = 5*o**3 - 17*o**2. What is 3*g(q) + z(q)?
2*q**3 - 20*q**2
Let f = 18 - 17. Let b(y) = f - 4 + 3 + 2*y. Let i(u) = -3*u. Let j(p) = -4*b(p) - 3*i(p). Let w(l) = 7*l - 2. What is -6*j(s) + w(s)?
s - 2
Let n(q) = -q - 9. Suppose 0 = 5*z - 4*k + 2 - 26, -4*k = -16. Let f(x) = 3*x + 26. Determine z*n(j) + 3*f(j).
j + 6
Suppose u = 3*u. Let d(a) = u*a + a + a. Let i(v) be the third derivative of -v**5/60 - v**4/8 - 629*v**2. Determine 3*d(y) + 2*i(y).
-2*y**2
Let r(n) = -1. Suppose 31*z - 3*a - 132 = 36*z, -2*z + 4*a = 32. Let s(t) = 8*t - 24. What is z*r(o) + s(o)?
8*o
Suppose -15 = 4*z - 4*w + 17, -4*w = 4*z. Let t(i) = 9*i**3 - 6*i**2 + 2*i + 7. Let o(c) = 5*c**3 - 3*c**2 + c + 4. What is z*t(p) + 7*o(p)?
-p**3 + 3*p**2 - p
Let h(y) be the first derivative of -y**2/2 + y + 50. Let o(b) = 4*b - 4. Determine 6*h(s) + o(s).
-2*s + 2
Let a(z) = -45*z**2 + 3*z + 8. Let j(i) = -90*i**2 + 7*i + 18. Give 7*a(w) - 3*j(w).
-45*w**2 + 2
Let y(p) = p**3. Let c(m) be the first derivative of -m**4 + 2*m**3/3 - m - 71. Determine c(n) + 2*y(n).
-2*n**3 + 2*n**2 - 1
Let d(g) = -116*g**3 + 7*g**2 - 7*g + 2. Let m(b) = -58*b**3 + 4*b**2 - 4*b + 1. Give 4*d(x) - 7*m(x).
-58*x**3 + 1
Let a(s) = s**3 - s**2 - s. Let g(c) be the third derivative of c**6/120 + c**5/20 + c**4/24 + 2*c**2 + 35*c. Calculate -3*a(d) - g(d).
-4*d**3 + 2*d
Suppose -5*q = 2*h + 206, 6*h = q + 8*h + 38. Let r(p) = 7*p**3 - 2*p - 2. Let x(k) = -70*k**3 + 21*k + 21. What is q*r(d) - 4*x(d)?
-14*d**3
Let n(w) = -10*w**2 + 6*w + 6. Let y(l) = -31*l**2 + 16*l + 18. Calculate -8*n(z) + 3*y(z).
-13*z**2 + 6
Let k(o) = o**3 + 3*o**2 - 2*o - 2. Let y = -2 + 0. Let u(m) be the first derivative of -m**4/4 - 2*m**3/3 + m**2 + m - 9. Calculate y*k(j) - 3*u(j).
j**3 - 2*j + 1
Let v(y) = 2*y**2 + y + 61. Let j(r) = -3*r**2 - r - 60. Determine 3*j(c) + 4*v(c).
-c**2 + c + 64
Let c(m) = 4*m**2 + m - 1. Let k(x) = 2*x**2. Suppose -7*s = 16 - 2. What is s*c(o) + 5*k(o)?
2*o**2 - 2*o + 2
Let l(i) = -7*i - 1. Let m(h) = -8*h - 1. Let t = -1952 - -1947. Calculate t*m(b) + 6*l(b).
-2*b - 1
Suppose -7 = w - 0*w - v, -19 = w - 4*v. Let x(t) = 4*t - 3. Let o(k) = -4*k + 13. Let c(g) = -g + 4. Let p(d) = -3*c(d) + o(d). Calculate w*p(i) - x(i).
-i
Let c = -86 - -95. Let b(k) = 7*k - 11 + c + 4. Let j(l) = -l + 0*l + 2*l + 1. Determine -b(f) + 5*j(f).
-2*f + 3
Let i(w) = -30*w + 1272*w**2 + 7*w - 1287*w**2. Let f(q) = -4*q**2 - 6*q. Give 22*f(s) - 6*i(s).
2*s**2 + 6*s
Let m(h) = h**2 - h - 2. Let x(p) be the second derivative of -p**4/12 + p**3/2 + 3*p**2/2 - 41*p + 1. Give -5*m(y) - 3*x(y).
-2*y**2 - 4*y + 1
Let l(u) = -17*u**2 - 11*u + 47. Let b(a) = 8*a**2 + 5*a - 24. Determine -13*b(y) - 6*l(y).
-2*y**2 + y + 30
Let y(h) = 3*h**3 - 17*h**2 - 12*h + 3. Let r(v) be the third derivative of v**6/120 - v**5/10 - v**4/6 + v**3/6 - 73*v**2. Give -17*r(p) + 6*y(p).
p**3 - 4*p + 1
Let q(k) = 2*k + 9. Suppose 3*z - 2 = -4*t + 4, 30 = 3*z - 4*t. Let g(v) = -9*v - 4. Let c(p) = 2*p. Let a(b) = 4*c(b) + g(b). Give z*q(h) + 14*a(h).
-2*h - 2
Let v(i) = -2*i - 28. Let s(g) = g. What is s(h) + v(h)?
-h - 28
Let f(i) be the second derivative of 17*i**3/6 - 3*i**2 + 136*i. Let s(g) = 341*g - 121. What is -121*f(n) + 6*s(n)?
-11*n
Let u(n) = 3*n**2 + 3*n - 6. Let p(o) = -o**2 - o + 2. Suppose -45 + 53 = -4*q. Calculate q*u(i) - 7*p(i).
i**2 + i - 2
Let d(l) = -l. Let i(o) = -2*o - 1. Let m be (-6)/(-4) - 261/(-6). Let a = m - 42. Calculate a*d(q) - i(q).
-q + 1
Let k(u) = -7*u**3 - 6*u**2 + 3*u + 3. Let i(z) be the second derivative of z**5/20 + z**4/12 - z**3/6 - z**2/2 - z + 16. Give -3*i(p) - k(p).
4*p**3 + 3*p**2
Suppose -3*c - 2*c - 15 = 0. Suppose -w = -2*w - 8. Let v(s) = 5*s - 2. Let l(q) be the first derivative of -7*q**2 + 6*q + 383. Calculate c*l(b) + w*v(b).
2*b - 2
Let g(n) = 4*n**3 - 16*n**2 + 16. Let o(s) be the first derivative of 0*s**2 + 5/3*s**3 - 22 - 5*s - 1/4*s**4. Calculate -5*g(a) - 16*o(a).
-4*a**3
Let y(h) = 3*h**2 - h**2 - 6*h**2. Let b(l) = -7*l**2. Let w(n) = n**2 + 44*n - 6. Let j be w(-44). Determine j*b(i) + 10*y(i).
2*i**2
Let a(d) = 12*d - 3. Let j(u) = 23*u - 5. Let k(w) = 7*a(w) - 4*j(w). Let c(n) = 4*n - 6. Let z be c(-2). Let y(r) = -r. Determine z*y(m) + 2*k(m).
-2*m - 2
Let y(c) = -3*c - 2. Let k(v) = -173*v - 57. Let f(d) = k(d) - 6*y(d). Let j be (8/(-3) - -2)*3. Let h(o) = -7*o - 2. Give j*f(b) + 45*h(b).
-5*b
Let q(y) be the second derivative of -y**3/6 - 26*y - 4. Let t(p) = 2*p - 2. Determine -5*q(l) - t(l).
3*l + 2
Let t(g) = -3. Let u be 30/12*(-2 + 0). Let l(a) = a + 5. Suppose -8*q - 23 = 1. Calculate q*l(c) + u*t(c).
-3*c
Let n(o) = 4*o - 45. Let u(y) = -y. Determine n(c) + 5*u(c).
-c - 45
Let g(w) be the second derivative of w**4/12 - 8*w - 4. Let k(d) = -7*d**2 - 2*d + 2. What is 6*g(u) + k(u)?
-u**2 - 2*u + 2
Let g(s) = 2*s + 2. Let p(u) = -544*u - 1088. Determine -544*g(c) - p(c).
-544*c
Let z(x) = -5*x + 4. Let w(s) = -6*s + 4. What is -4*w(u) + 3*z(u)?
9*u - 4
Let p be 1/(-5) - ((-30)/25 - 2). Let l(b) = 6*b**2 + 2*b + 1. Let d(z) = -5*z**2 - z - 1. What is p*l(o) + 4*d(o)?
-2*o**2 + 2*o - 1
Let f(m) = -126*m**3 + 3*m**2 - m - 3. Let j(r) = 127*r**3 - 2*r**2 + r + 2. What is 2*f(b) + 3*j(b)?
129*b**3 + b
Let l(i) = -8*i**3 - 8*i - 6. Suppose w - 18 = -4*s, -22 = -2*w - 2*s + 8. Let z(c) = 1 + 0 + c + 0*c**3 + c**3. What is w*z(b) + 2*l(b)?
-2*b**3 - 2*b + 2
Let x(h) = 2*h**2 + h - 5. Let b(i) = i**2 - 3. Let l(c) = -3*c - 13. Let d be l(-10). Suppose -5*p - d = -2. What is p*x(r) + 5*b(r)?
-r**2 - 3*r
Suppose 4*r - 2*c - 24 = 0, 4*r + 16*c = 11*c + 10. Let o = -14 - -8. Let i(q) = 2*q**2 - 4*q - 4. Let d(w) = 2*w**2 - 3*w - 3. Calculate o*d(p) + r*i(p).
-2*p**2 - 2*p - 2
Let d(m) = -m**2 - 3*m - 5. Suppose 11 - 77 = -6*f. Let b = f + -14. Let j(h) = -2*h**2 - 4*h - 6. Determine b*j(t) + 4*d(t).
2*t**2 - 2
Let y(k) = -6*k - 10. Let j(g) = -5*g - 8. Calculate 4*j(t) - 3*y(t).
-2*t - 2
Let y(g) = -192 + 6*g - 203 + 393. Let q(l) = -13*l + 5. Determine 3*q(k) + 7*y(k).
3*k + 1
Let g(u) be the second derivative of 7*u**4/12 + 35*u**2/2 + u - 115. Let h(y) = -y**2 - 6. What is 6*g(j) + 35*h(j)?
7*j**2
Let o(l) = 211*l - 57*l - 51*l - 50*l - 54*l. Let p be 18/(-24) - (-26)/(-8). Let f(u) = 7*u - 2. What is p*o(w) - f(w)?
-3*w + 2
Let q(b) = 2*b**2 + 79*b + 11. Let w(r) = 2*r**2 + 81*r + 13. Give 6*q(i) - 5*w(i).
2*i**2 + 69*i + 1
Let f(b) = -5*b**3 + b**2 - 5*b. Suppose -4*h + 52 = 9*h. Let v(k) be the third derivative of -k**6/30 + k**5/60 - k**4/6 + k**2. What is h*v(j) - 3*f(j)?
-j**3 + j**2 - j
Let g(c) = 3*c + 9. Let p = -757 - -750. Let y(m) = 2*m + 6. Determine p*y(d) + 5*g(d).
d + 3
Let l(x) = -3*x + 3. Let h(m) be the first derivative of -5*m**2/2 + 4*m + 74. Calculate 5*h(f) - 8*l(f).
-f - 4
Let k(j) = 3*j**2 + 19*j + 36. Let a be k(-3). Let q(h) = -h**2 + h. Let y(o) = -8*o**2 + 4*o - 1. Calculate a*q(p) - y(p).
2*p**2 + 2*p + 1
Let n(h) be the second derivative of 10*h**3/3 - 12*h**2 - 81*h - 2. Let j(k) = -4*k + 5. What is -14*j(s) - 3*n(s)?
-4*s + 2
Let x(a) = -1 - 4*a + 7 + 5*a - 5*a + a. Let w(q) = -q + 2. Give 8*w(h) - 3*x(h).
h - 2
Let m(g) be the second derivative of 2*g**4/3 + g**3/3 + g**2/2 - 3*g - 19. Let u(s) = -s**2 - s. What is -m(j) - 6*u(j)?
-2*j**2 + 4*j - 1
Let l(h) = -8*h**2 + 49*h + 14. Let g(i) = -5*i**2 + 25*i + 8. Calculate 5*g(t) - 3*l(t).
-t**2 - 22*t - 2
Let u(j) = -j**3 - 3*j**2 - 3*j - 4. Let n(f) = 2*f**3 - f**2 + 5*f + f**2 + 7 + 5*f**2. Let p be 12/(-14)*112/(-24). Calculate p*n(m) + 7*u(m).
m**3 - m**2 - m
Let n(j) = -2*j + 2. Let q(d) = -6*d + 5. Let v(c) = 1