k**3
Let g(l) be the second derivative of 0*l**3 + 0 + 13*l - 1/3*l**4 - 1/10*l**5 - 5/2*l**2. Let k(m) = -5*m**3 - 11*m**2 - 14. Determine 11*g(x) - 4*k(x).
-2*x**3 + 1
Let g(p) = 2*p**2 + 3*p - 13. Let s(o) = -o**2 - 2*o + 14. Calculate 3*g(l) + 4*s(l).
2*l**2 + l + 17
Let t(u) be the first derivative of 2*u + 1/2*u**2 + 4. Let z(w) = 4*w + 6. Give 7*t(j) - 2*z(j).
-j + 2
Let z(m) = -69*m. Let y(l) = 896*l. Give 5*y(x) + 64*z(x).
64*x
Let x(c) = c + 1. Let p(f) = f**3 - 3*f**2 + 1. Let w be p(2). Let o(r) = -3*r. Let g(k) = 10*k - 2. Let z(i) = 2*g(i) + 7*o(i). Give w*x(m) - z(m).
-2*m + 1
Let q(u) = -3*u - 51*u**3 + 46*u**3 + 0 - 3. Let l(s) = 15*s**3 + 8*s + 8. Let y be 2/(3 + 20/(-12) + -2). Give y*l(p) - 8*q(p).
-5*p**3
Let d(i) = 31*i + 128. Let z(c) = -19*c - 85. What is 5*d(o) + 8*z(o)?
3*o - 40
Suppose 6*y - 2*y = -2*x + 2, 0 = 5*x + 4*y + 13. Let j(d) = 6*d - 3. Let a(f) = 5*f - 2. Let u be 4 - (-1 - (9/3)/(-3)). What is u*j(z) + x*a(z)?
-z - 2
Let i(n) = -n**2 - 3*n - 10. Let b(a) = 2*a**2 + 2*a + 11. Let c(f) = 3*b(f) + 4*i(f). Let y(w) = 2*w**2 - 5*w - 6. Calculate 6*c(l) - 7*y(l).
-2*l**2 - l
Let d(k) = 2*k**3 - 3*k - 1. Let f be (-100)/(-150) - (-14)/6. Let t(i) = -3 + 2*i**2 + 6*i**3 - 3*i**2 - 3 + 3 - 8*i. Give f*t(l) - 8*d(l).
2*l**3 - 3*l**2 - 1
Let o(z) be the third derivative of z**5/30 + z**4/6 + z**3/2 + 12*z**2. Let d(n) = 6*n + 5*n**2 - 3*n + 7 + 0*n**2 + 6*n. Give 4*d(a) - 9*o(a).
2*a**2 + 1
Let t be -4 + 2 + 3/(-1). Let h(p) = -13*p**3 + 15*p**2 + 7*p + 7. Let b(x) = -9*x**3 + 10*x**2 + 5*x + 5. Give t*h(w) + 7*b(w).
2*w**3 - 5*w**2
Suppose -f + 2*n - 10 = 0, -4*f + 2*n - 25 = -9. Let d(b) = -13 + 27 - 13. Let i(p) = p + 2. Calculate f*d(c) + i(c).
c
Suppose 14*u - m = 10*u + 15, u + 2*m = -3. Let w(q) = -2*q**3 - 11*q**2 - 3*q. Let p(s) = -3*s**3 - 21*s**2 - 5*s. Give u*p(z) - 5*w(z).
z**3 - 8*z**2
Let f(l) = -103*l**3 + 3*l. Let o(n) = 1340*n**3 - 40*n. Determine -40*f(d) - 3*o(d).
100*d**3
Let b(a) = -3*a - 2 + a + 4 + 4. Suppose 2*x = 5*t - 0 + 10, -3*x = 4*t + 31. Let k(n) be the second derivative of n**3/6 - n**2/2 - n. Give t*k(l) - b(l).
-2*l - 2
Let b(v) = 7*v**2 - 30*v + 4. Let z(h) = -3*h**2 + 2*h. Calculate -b(q) - 2*z(q).
-q**2 + 26*q - 4
Suppose 1 = v - 5. Let o(w) = 5*w + 2. Let l be (3*(4 + -3))/(3/8). Let y(q) = l - 8 + 4*q + 2. Calculate v*y(s) - 5*o(s).
-s + 2
Let q(b) = 12*b + 223. Let v(g) = -29*g - 447. Calculate -5*q(d) - 2*v(d).
-2*d - 221
Let x(i) = i**3 + 4*i**2 - 12*i + 3. Let c be x(-6). Let o(f) = -3*f + 7*f**c + 4 - 3*f - f. Let h(d) = 4 - 2 - 5*d + 4*d**3 + d. Determine -5*h(b) + 3*o(b).
b**3 - b + 2
Let r(f) = 3*f**3 - 18*f**2 - 4*f + 10. Let x(g) = 2*g**3 - 19*g**2 - 2*g + 8. Give 4*r(i) - 5*x(i).
2*i**3 + 23*i**2 - 6*i
Let f(h) be the third derivative of -h**5/60 - 5*h**4/24 + 5*h**3/6 + 3*h**2. Let a(s) = -s**2 - 4*s + 4. Suppose 36*c = 42*c + 12. Determine c*f(u) + 3*a(u).
-u**2 - 2*u + 2
Let x(v) = -v**3 - 3*v - 8. Let u be x(-2). Let d(p) = 3*p + 6. Let l(k) = 9*k + 17. Let t(f) = -f**2 - f - 17. Let g be t(0). What is g*d(s) + u*l(s)?
3*s
Let f(l) = -4*l**2. Let o(z) = -z**2. Let h(m) = f(m) - 5*o(m). Let x(s) = -3*s**2 - 3*s - 1. Determine 4*h(d) + x(d).
d**2 - 3*d - 1
Let p(w) = -w**3 - w**2 - 1. Let v(r) = r**3 - r**2 + 3*r - 1. Let l(z) = z**3 + 5*z**2 - 7*z + 4. Let c(t) = l(t) + 3*v(t). Give -c(u) - 2*p(u).
-2*u**3 - 2*u + 1
Let i = 35 + -13. Let s(n) = -2*n + 2. Let m(k) = -k**3 + 9*k**2 - 2*k + 24. Let a be m(9). Let d(c) = 4 - 6 + 2*c + 5*c - 5. Calculate a*d(x) + i*s(x).
-2*x + 2
Suppose 2*n - 21 = -3*v - 2*n, -4*v + n + 9 = 0. Let c be 1/(-5*v/(-75)). Let q(f) = -3*f + 1. Let j(o) = 7*o - 2. What is c*q(h) + 2*j(h)?
-h + 1
Let z be 27/(-3)*(4 - 20/12). Let w(h) = h - 2. Let a(k) = -3*k + 7. Determine z*w(s) - 6*a(s).
-3*s
Suppose 14*m - 15 = 13. Let r(h) = h + 4. Let c(z) = z. Determine m*c(s) - r(s).
s - 4
Let p(u) = -11*u + 4. Let r(q) = -q + 1. Let l be (5 - (2 + 2))/(-7 + 8). What is l*p(n) - 6*r(n)?
-5*n - 2
Let a(k) = 4*k**2 - 110*k - 1. Let o(w) = -w**2 + w + 2. Calculate a(f) + 2*o(f).
2*f**2 - 108*f + 3
Let v(n) = n**3 + n**2 - n - 4. Let y(k) = -7*k**3 - 6*k**2 + 8*k - 30. Calculate -8*v(w) - y(w).
-w**3 - 2*w**2 + 62
Let o = -86 + 78. Let m(b) = 11*b - 6. Let q(u) = 4*u - 2. What is o*q(d) + 3*m(d)?
d - 2
Let l(b) = -5*b. Let t(c) = -133*c - 1. What is 3*l(s) + t(s)?
-148*s - 1
Let f(u) = -u**3 - 2*u**2 + 2*u + 2. Let l be -9 - (7 - 144/8). Let h(r) be the first derivative of r**4/4 + r**3/3 - r - 1. Determine l*h(i) + f(i).
i**3 + 2*i
Let n(v) = 4*v - 38. Let z be n(9). Let t(y) = 21*y**2 + 9*y - 5. Let p(s) = -5*s**2 - 2*s + 1. Calculate z*t(g) - 9*p(g).
3*g**2 + 1
Let o(d) = 9*d**3 - 5*d**2 + 9*d + 67. Let t(h) = 14*h**3 - 8*h**2 + 14*h + 100. Give -8*o(k) + 5*t(k).
-2*k**3 - 2*k - 36
Let n(g) = -3*g**2 + 4*g - 2. Let j(f) = 138*f + 8*f**2 - 73*f + 6 - 76*f. Determine -4*j(p) - 11*n(p).
p**2 - 2
Let c(w) = 30*w + 53. Let v(t) = 17*t + 27. Determine -4*c(h) + 7*v(h).
-h - 23
Let g(t) = -31*t**2 + 3*t - 4. Let o(j) = -62*j**2 + 6*j - 10. Determine -5*g(k) + 2*o(k).
31*k**2 - 3*k
Let n(w) = 13*w + 11. Suppose 2*a + 2*s - 20 = 0, -3*s - 13 + 16 = 0. Let q(v) = 6*v + 5. Calculate a*q(o) - 4*n(o).
2*o + 1
Let q(f) = -6*f**3 + 5*f**2 + 18*f + 10. Let z(w) = 9*w**3 - 7*w**2 - 27*w - 14. Determine 7*q(l) + 5*z(l).
3*l**3 - 9*l
Let f(b) = b**3 + 114*b**2 + 6*b + 2. Let i(v) = 6*v**3 + 571*v**2 + 33*v + 11. Calculate -11*f(p) + 2*i(p).
p**3 - 112*p**2
Let v(c) = c**2 + c - 1. Let a(o) = -7*o**2 + 1. What is a(k) - 2*v(k)?
-9*k**2 - 2*k + 3
Let z(n) = n - 2406 + 2406. Let u(v) = 18*v + 2 - 37*v**2 - 2 + 34*v**2. Calculate u(s) - 18*z(s).
-3*s**2
Let f(q) be the first derivative of -380*q**2 + 276. Let c(i) = -23*i. Calculate -133*c(p) + 4*f(p).
19*p
Let t = 40 - 35. Let y(i) = 1. Let h(l) = l**2 + 2*l - 2. Let p be h(-3). Let w(q) = -3*q - 4. What is p*w(k) + t*y(k)?
-3*k + 1
Let i(k) = -k**3 - 7*k**2 - 7*k - 8. Suppose -12 = -6*z + 8*z. Let o be i(z). Let s(u) = -u + 1 + 2 - 3. Let r(n) = n**2 - 9*n. What is o*r(m) + 18*s(m)?
-2*m**2
Let v(b) = -2*b**2 - 70*b - 55. Let o be v(-34). Let i(q) = 15*q + 5. Let n(m) = -7*m - 2. Determine o*n(c) + 6*i(c).
-c + 4
Let w(z) = 6*z**2 + 10*z + 5. Let i(m) = m**2 + 2*m + 1. Let u(h) = 11*i(h) - 2*w(h). Let r(x) = x**2 - 2*x - 1. Suppose 1 - 8 = d. Give d*u(l) - 6*r(l).
l**2 - 2*l - 1
Let y(o) = 4*o**2 - 11*o + 15. Let m(k) = k**2 - 26*k - 133. Let w be m(31). Let v(s) = -s**2 + 3*s - 4. Give w*v(t) + 6*y(t).
2*t**2 + 2
Let a(l) = l - 5. Let r(g) = -1. Let j be 2 - (-5)/((-10)/2). Determine j*a(h) - 5*r(h).
h
Let d(a) = -4599*a**3 + 231*a**2 - 231*a + 231. Let p(v) = 40*v**3 - 2*v**2 + 2*v - 2. Calculate -4*d(s) - 462*p(s).
-84*s**3
Let q(f) = 23*f**2 - 32*f + 3. Let p(l) = 16*l**2 - 21*l + 2. Determine 7*p(k) - 5*q(k).
-3*k**2 + 13*k - 1
Let t(h) = -64*h + 92. Let n(i) = -20*i + 30. Calculate 7*n(y) - 2*t(y).
-12*y + 26
Let l(i) = -i + 2. Suppose 14*a = -18*a + 224. Let t(y) = -y + 2. Suppose 0 = 3*b + u + 19, 0 = 3*b + b - u + 23. Give a*t(z) + b*l(z).
-z + 2
Let q(t) = 7*t**2 - 5*t + 24. Let d(n) be the first derivative of 10*n**3/3 - 7*n**2/2 + 36*n + 207. What is -5*d(g) + 7*q(g)?
-g**2 - 12
Let h(j) = 16*j**3 - j**2 - 2*j + 1. Let l(c) = -15*c**3 + c**2 + 3*c - 2. Give 3*h(u) + 2*l(u).
18*u**3 - u**2 - 1
Let a(b) = 8*b + 9. Let w(x) be the second derivative of 10*x**3/3 + 11*x**2 + 3*x. Suppose o = -3*d + 21, 0 = o - d - 69 + 60. What is o*a(i) - 5*w(i)?
-4*i - 2
Let r(n) = -19*n**2 + 6*n - 4. Let x(w) = -37*w**2 + 12*w - 9. What is -9*r(m) + 4*x(m)?
23*m**2 - 6*m
Let q(x) = 84*x**3 + 2*x - 1. Let r(z) = 83*z**3 + 3*z - 2. Calculate 3*q(c) - 2*r(c).
86*c**3 + 1
Let z(i) = i**2 - 1. Let p be 8*-2*(-5)/(-4). Let c be ((-52)/p + -1)*-5. Let w be ((-1)/(-2))/((-4)/c). Let d(y) = -y**3 - 3*y**2 + 5. What is w*d(g) + 3*z(g)?
-g**3 + 2
Let u(d) = 2*d**2 + 5*d + 4. Let s = 11 - 7. Let b(k) be the second derivative of k**4/6 + 2*k**3/3 + 3*k**2/2 - 3*k + 22. Determine s*u(a) - 5*b(a).
-2*a**2 + 1
Let r(n) = -n + 1. Suppose 8 = 4*b - 8. Let w(x) = -x + 1. Let a(y) = b*w(y) - 3*r(y). Let l(u) = 7*u - 4. Give 5*a(p) + l(p).
2*p + 1
Let p(s) = -34*s**2 + 41*s**2 + 5 + 1. Let t(l) = -8*l**2 - 7. Determine -6*p(c) - 5*t(c).
-2*c**