) be the first derivative of 1 + 0*o**2 + 4*o + 3*o - o**2. What is f*t(c) - 6*g(c)?
2*c - 1
Let u(z) = z + 1. Let f(d) be the second derivative of d**3/2 + 3*d**2/2 + 15*d. Give f(k) - 2*u(k).
k + 1
Let g(n) = n**2 + 2*n - 4. Let y(s) = -3*s**2 - 4*s + 7. Suppose -2*u = -7*u + 35. Give u*g(t) + 4*y(t).
-5*t**2 - 2*t
Suppose 0 = r - 2*y - 18, 0*r + 2*r = -5*y. Let x(b) = 6 - r*b + 0 + 6 + 4. Let t(o) = 2*o - 3. Determine 16*t(a) + 3*x(a).
2*a
Let b(c) = -c - 1. Let j(d) = -8*d - 7. Calculate -6*b(v) + j(v).
-2*v - 1
Let s(r) = r**3 + 3*r**2 + 7*r. Let u(y) = -y**3 - 4*y**2 - 8*y. Give -5*s(w) - 4*u(w).
-w**3 + w**2 - 3*w
Let u(w) = 7*w - 2. Let y(b) = 29*b - 8. What is -9*u(m) + 2*y(m)?
-5*m + 2
Let d(p) = 5. Let m(a) = 4*a - 5. Let l(z) = -3*z + 3. Let s(n) = -7*l(n) - 5*m(n). Give 2*d(k) - 3*s(k).
-3*k - 2
Let k(f) = -7*f**2 + 7 - 3 - 10. Let u(p) = 3*p**2 + 3. Give 2*k(g) + 5*u(g).
g**2 + 3
Let o(g) = -15*g**3 + 2*g**2 - 2*g + 2. Let v(x) = -375*x**3 + 51*x**2 - 51*x + 51. Calculate 153*o(f) - 6*v(f).
-45*f**3
Let i(f) = 4*f + 9. Let x(p) = -6*p - 8. Give -3*i(v) - 4*x(v).
12*v + 5
Let f(r) = 4*r + 17. Let y(k) = -4*k - 4. Let w(i) = -11*i - 12. Let x(v) = -3*w(v) + 8*y(v). Let n be 2*4/8*2. What is n*f(u) - 9*x(u)?
-u - 2
Let i(r) = -r**3 + 2*r**2 + 71. Let h(b) = -b**3 + 3*b**2 + 71. Give -2*h(n) + 3*i(n).
-n**3 + 71
Let p(g) = 17 + 11*g - 3*g**2 - 3*g**3 + 2*g**2 - 7*g**2. Let f(m) = m**3 + 3*m**2 - 4*m - 6. Calculate 11*f(l) + 4*p(l).
-l**3 + l**2 + 2
Let j(u) = -5*u**3 + 2*u + 2. Let c(o) = -685*o**3 + 295*o + 295. Let x(y) = 114*y**3 - 49*y - 49. Let q(v) = -4*c(v) - 25*x(v). What is 45*j(z) - 2*q(z)?
-5*z**3
Let m(x) = x - 2 + 2*x + x**2 - 2*x - 3*x. Suppose 0 = -2*h - h + 6. Let y(r) = h + r + 1 - 1. Give -2*m(p) - 3*y(p).
-2*p**2 + p - 2
Let s(u) be the first derivative of 2 + 0*u - 5/2*u**2. Suppose -239 = -37*v + 168. Let c(g) = g. Determine v*c(w) + 2*s(w).
w
Let y(u) = 7*u**3 - 5*u**2 - 5. Let k(d) be the second derivative of d**5 - 7*d**4/6 - 7*d**2 + d. Let o = -182 - -196. What is o*y(f) - 5*k(f)?
-2*f**3
Let c(f) = 14*f + 7. Let n(t) = 5*t + 2. Let w(h) = 3*c(h) - 8*n(h). Let y(q) = -q - 3. Let d(l) = -l**2 - 8*l + 58. Let o be d(-12). Determine o*y(i) + 6*w(i).
2*i
Let o(c) = 0 - 3 - 11*c + 2*c - c**2. Let q(t) = 2*t**2 + 14*t + 5. Determine 8*o(d) + 5*q(d).
2*d**2 - 2*d + 1
Let z(s) = 3*s - 14. Let i(r) = r - 5. Determine -8*i(q) + 3*z(q).
q - 2
Let c(k) be the third derivative of -k**5/60 + k**4/12 + k**2. Let h(n) = -6*n**2 + 11*n. Suppose 2*v + 12 = 6*v. Let l = v - 5. Determine l*h(f) + 11*c(f).
f**2
Let t(c) = -11*c - 3. Let i(a) = 6*a + 1. Determine 7*i(j) + 4*t(j).
-2*j - 5
Let g(a) = 7*a**2 + 6*a + 8. Let n(s) = -15*s**2 - 13*s - 17. Suppose 8*p + 13 = 7*p. What is p*g(r) - 6*n(r)?
-r**2 - 2
Let o(q) = 6*q - 10*q + 8*q - q - 2. Let p(s) = -3*s + 2. Give -3*o(g) - 2*p(g).
-3*g + 2
Let u(g) = g**2 - 7*g. Let n be u(6). Let x(l) = 14*l + 17. Let z(m) be the first derivative of 5*m**2/2 + 6*m + 4. Calculate n*x(c) + 17*z(c).
c
Suppose 2*c - 2*l = -l - 12, -3*c - 2*l - 25 = 0. Let d(p) = 0*p - 4*p**2 + 2 - 3*p - p. Let h(u) = 2*u**2 + 2*u - 1. What is c*h(s) - 3*d(s)?
-2*s**2 - 2*s + 1
Let i(o) = -2*o**3 + 3*o**2 - 5*o - 1. Suppose -2*q - 10 = 0, q - 5*q = 3*h + 29. Let u(w) = -w**3 + 2*w**2 - 3*w - 1. Give h*i(t) + 5*u(t).
t**3 + t**2 - 2
Let g(h) = 17*h**3 - 5*h**2 - 5*h. Let m(i) = -12*i**3 + 3*i**2 - 8*i**3 - i**2 + 12*i**3 + 2*i. Determine 2*g(j) + 5*m(j).
-6*j**3
Let l(j) = 48*j - 10. Let d(g) = -16*g + 3. Give 10*d(y) + 3*l(y).
-16*y
Let u(m) = m**2 - 3*m + 8. Let g(s) = s**2 - s. Give 3*g(l) - u(l).
2*l**2 - 8
Let u(s) = 25*s - 5. Let g(p) = 12*p - 2. Determine -5*g(v) + 2*u(v).
-10*v
Let s(w) = -293 + 587 - 293. Let v(b) = -5*b - 1. Give -s(y) - v(y).
5*y
Let h(a) = -29*a - 16. Let s(o) = 15*o + 8. Let y(g) = 6*h(g) + 11*s(g). Let q(l) = 7 - 4*l + 12*l + 0. What is -7*q(z) - 6*y(z)?
-2*z - 1
Suppose 3*o - 2 + 35 = 0. Let t = -17 - o. Let n(i) = 20*i + 6. Let k(u) = 7*u + 2. What is t*n(f) + 17*k(f)?
-f - 2
Let a = 18 + -20. Suppose -4*s = -21 + 1. Suppose -s*x - 15 + 4 = 4*f, x = 5. Let g(z) = -2. Let y(q) = -q**3 + 9. Calculate a*y(d) + f*g(d).
2*d**3
Let f(x) = x - 1. Let l(k) = -11*k + 3. Calculate -5*f(u) - l(u).
6*u + 2
Let g(r) = r**2 - 4*r + 1. Suppose 2*s = -3 + 1. Let i(t) = -t. Let f(d) = s*g(d) + 4*i(d). Let b(v) = -6*v**2 + 2*v - 6. Give b(x) - 4*f(x).
-2*x**2 + 2*x - 2
Let z(x) = x**3 - 3*x**2 - 4*x - 1. Let g be z(4). Let f(l) = l**2 + l - 1. Let y(k) = 3*k**3 + 6*k**2 + 6*k - 6. Determine g*y(n) + 6*f(n).
-3*n**3
Let f(k) = 10*k**2 + 4*k - 4. Let j(l) = -9*l**2 - 5*l + 5. Give -5*f(i) - 4*j(i).
-14*i**2
Let f(y) = 2 - 4 + 4 + 7*y - 3. Let u(p) = 6*p - 2. Let t(w) = -3*f(w) + 4*u(w). Let r(j) = -j + 2. Calculate 11*r(c) + 4*t(c).
c + 2
Let v(j) = -46*j - 4. Let g(f) = -23*f - 2. What is 7*g(l) - 3*v(l)?
-23*l - 2
Let f be 4*3*(-3)/(-9). Let g(i) = 2 + 3 - 5*i - f + 3. Let b(n) be the second derivative of 2*n**3/3 - 3*n**2/2 - n. Give 4*b(c) + 3*g(c).
c
Let k(p) = -2*p. Let c(u) = -3*u. Let y(s) = -s**3 + 7*s**2 + s - 4. Let v = -11 + 18. Let i be y(v). Let q be (-10)/(-6)*i/(-1). Calculate q*k(f) + 3*c(f).
f
Let n(u) = u. Let h(d) = 5*d. Let y(t) = -h(t) + 6*n(t). Let v(w) = 2*w + 4. Let k(m) = 2*m + 3. Let o(a) = -4*k(a) + 3*v(a). Calculate -4*o(g) - 7*y(g).
g
Let y(n) = -2 - 2*n**2 + n**3 + 2*n**3 + 0. Let x(c) = 7*c**3 - 5*c**2 - 5. Let r = 1 + 1. Let f = r + -7. What is f*y(a) + 2*x(a)?
-a**3
Let r(p) = 6*p - 3. Let j(x) = 860*x - 446*x - 444*x + 14. Calculate -3*j(z) - 14*r(z).
6*z
Let n(t) = -3*t**3 - 3*t**2 + 1. Let j be n(-2). Let z = 37 - j. Let o(k) = k**2 - k - 1. Let q(h) = 7*h**2 - 8*h - 8. Calculate z*o(f) - 3*q(f).
3*f**2
Let p be (-2)/17 - 192/102. Let f(z) = -5*z**3 + 9*z - z**3 + z**3. Let o(k) be the third derivative of -k**6/120 + k**4/12 - 2*k**2. Determine p*f(j) + 9*o(j).
j**3
Let m(i) = -4*i**2 - 7*i - 9. Suppose -t - 28 = -5*t. Let f(k) = 3 - 6 + 4*k + 2*k**2 + 5 + 3. Give t*f(w) + 4*m(w).
-2*w**2 - 1
Let m be (-12)/(-5) - 16/40. Suppose -7*q = -2*q - 10. Let s(t) = -q - 6 - 5*t**2 - m*t**3 + 2 + 4*t**3. Let d(c) = -3*c**3 + 9*c**2 + 11. Give 4*d(b) + 7*s(b).
2*b**3 + b**2 + 2
Let z(t) = -t**3 + 6*t**2 - 8*t - 4. Let s be z(3). Let i(u) = u + 1. Let k(j) = j**2 + 5. Give s*k(m) + 2*i(m).
-m**2 + 2*m - 3
Let r(y) = 4*y**3 + 3*y**2 - 6*y + 1. Let p(c) = 2*c**3 + c**2 - 3*c. What is 7*p(m) - 3*r(m)?
2*m**3 - 2*m**2 - 3*m - 3
Let k(u) = 3*u - 3. Let d(n) = -9*n + 10. Calculate -6*d(t) - 21*k(t).
-9*t + 3
Let m(a) = -3*a**2 + 9*a + 12. Let s(r) = r**2 - 4*r - 6. Calculate -4*m(q) - 9*s(q).
3*q**2 + 6
Let t(d) = -2*d**3 + d**2 - 5*d + 2. Let g(j) be the second derivative of -j**5/20 + j**4/12 - j**3/2 + j**2/2 + 26*j. Give 5*g(b) - 3*t(b).
b**3 + 2*b**2 - 1
Let f(j) = -j + 5. Let c(g) = -1. Let d(o) = o**3 - 7*o**2 - 10. Let u be d(7). Let x = u - -9. Calculate x*f(w) - 5*c(w).
w
Let w(t) be the first derivative of 4*t**3/3 - 3*t**2/2 - 3*t - 4. Let k(b) = 3*b**2 - 2*b - 2. Calculate 5*k(z) - 4*w(z).
-z**2 + 2*z + 2
Let r(q) = q**2 - 12*q + 5. Let k be r(12). Suppose 4*m - 6 = -k*w, -2*m + 4*w = 1 + 9. Let b(g) = -g**2 - g. Let a(s) = 4*s**2 + 6*s. Give m*a(d) - 6*b(d).
2*d**2
Let n(x) = 4*x**2 - 7*x - 7. Let a be -17*(-3 - -4) + 6/2. Let l(q) = -q**2 + 2*q + 2. What is a*l(o) - 4*n(o)?
-2*o**2
Let p(m) = 5*m - 4. Let q(b) = -4*b + 5. Give 3*p(s) + 2*q(s).
7*s - 2
Let m(q) = -q + 1. Let n(a) = -3*a + 3. Give 5*m(b) - 2*n(b).
b - 1
Let d(f) = -3*f + 1 - 1 - 1 + 2. Let t(m) = -1. Give -d(g) - 2*t(g).
3*g + 1
Let n(b) = 15*b + 8. Let i(s) = 29*s + 15. Calculate 6*i(d) - 11*n(d).
9*d + 2
Let p(m) = m - 5. Let x(s) = -s + 1. Let l = -9 + 10. Suppose -d + 2*i = -1, -4*d + i + 2*i - l = 0. Give d*p(v) - 3*x(v).
2*v + 2
Let q(j) = 7*j**2 - 4*j - 4. Let a(g) = 99*g**2 - 55*g - 55. Give -4*a(y) + 55*q(y).
-11*y**2
Let o(s) = 75*s + 8. Let b(q) = -14626*q - 1562. Determine 4*b(v) + 781*o(v).
71*v
Let h(g) = -2*g - 15. Let c(w) = -w - 8. Let x be 2/3 + 26/6. Suppose 0 = b + 3*b - 4, x*b + 25 = 5*p. Give p*h(d) - 11*c(d).
-d - 2
Let o(f) = 5*f + 3. Let t(p) = -5*p - 4. What is 6*o(s) + 5*t(s)?
5*s - 2
Let h(r) = r**3 - r. Let p(d) = 4*d**3 - 8*d. Give 5*h(m) - p(m).
m**3 + 3*m
Let y(s)