Let q(n) = 2*n**2 + 2*n - 6. Suppose 0 = -c + 4*c - 45. Suppose -4*j + j = c. Determine j*w(t) - 6*q(t).
-2*t**2 - 2*t + 1
Let l(y) be the third derivative of y**6/60 + y**5/12 + 2*y**3/3 - 125*y**2. Suppose -4 = 2*t + 2*t. Let b(k) = -k**2 - 1. Give t*l(v) - 5*b(v).
-2*v**3 + 1
Let u(w) = 9*w**3 - 4*w**2 - 4*w - w - 7 + 5*w. Let b(s) = 5*s**3 - 2*s**2 - 4. Determine -7*b(m) + 4*u(m).
m**3 - 2*m**2
Let w(z) = 2*z + 1 - 2 + 15*z. Let h(a) = 9*a. Let x(r) = 7*h(r) - 4*w(r). Let v be (1/(-3))/((-2)/66). Let q(j) = -14*j + 11. What is v*x(d) - 4*q(d)?
d
Let i(c) be the first derivative of -1/2*c**2 + 1 + c - 8/3*c**3. Let v(s) = 9*s**2 + s - 1. Calculate -7*i(w) - 6*v(w).
2*w**2 + w - 1
Let i(g) = 6*g**3 - 2*g**2 - 3*g - 3. Let d(p) = 31*p**3 - 11*p**2 - 17*p - 14. Give -2*d(q) + 11*i(q).
4*q**3 + q - 5
Let l(z) = -28*z + 14. Let t(v) = -v - 1. Give -l(q) - 14*t(q).
42*q
Let a(h) be the third derivative of h**4/24 + h**3/6 + 4*h**2. Let j(n) = -5*n - 6. Calculate -11*a(t) - 2*j(t).
-t + 1
Let a(y) = -2*y**2 - 9*y - 5. Let f(o) = -o**2 - 9*o - 4. What is -3*a(k) + 4*f(k)?
2*k**2 - 9*k - 1
Suppose 0 = -5*t - 0*t + 20. Let h(w) = 2*w**3 - w**2 + 4*w + 5. Let l(s) = 4*s**3 - 2*s**2 + 9*s + 11. Calculate t*l(x) - 9*h(x).
-2*x**3 + x**2 - 1
Let r(n) = -6*n**2 + 3*n - 17. Let z(g) = 5*g**2 - 2*g + 17. Let b(v) = 2*r(v) + 3*z(v). Let s(f) = -f**2 - 6. What is -6*b(h) - 17*s(h)?
-h**2
Let u(c) = -c + 1. Let d(i) = -4 + 3 + 0 - 1. Give d(p) + 3*u(p).
-3*p + 1
Let u(d) = -5*d + 6. Let w(x) = -2 - 2*x + 1 + x + 2*x. Give -u(l) - 4*w(l).
l - 2
Let n(q) = 9*q - 16*q + 8*q - 1. Let l(z) = 2*z**2 - 2*z + 2. Give -2*l(m) - 4*n(m).
-4*m**2
Let z(g) = 14*g**2 + 11*g - 71. Let t(d) = -5*d**2 - 4*d + 24. What is -8*t(c) - 3*z(c)?
-2*c**2 - c + 21
Let g(k) = 23*k + 23. Let i(v) = -8*v - 8. Let y(x) = -6*g(x) - 17*i(x). Suppose w - 2*l + 1 = -3*l, -4*l - 10 = -2*w. Let c(f) = -1. What is w*y(n) - 2*c(n)?
-2*n
Let j(c) = -c**3 + c. Let w(h) = -2*h**3 + 6*h - 1. Let n(m) = -2*m + 12. Let d be n(5). Suppose 7 - 15 = -d*l. Calculate l*j(b) - w(b).
-2*b**3 - 2*b + 1
Let w(c) = 5*c**3 - 3*c**2 + c. Let b(q) = 9*q**3 - 5*q**2 + q + 1. Calculate 3*b(a) - 5*w(a).
2*a**3 - 2*a + 3
Let s(q) = -2*q + 1. Let b(c) be the first derivative of -3*c**2/2 + c - 5. Give 5*b(g) - 7*s(g).
-g - 2
Let a(s) = s - 10. Let k(g) = -2 - 6 + 13 - 4. What is a(m) + 5*k(m)?
m - 5
Let z(p) = 6*p + 2. Let i(f) = -5*f - 2. Give -4*i(q) - 3*z(q).
2*q + 2
Let i(y) = 3*y**3 - 3*y**2 - 3. Let k(d) = -3*d**3 + 4*d**2 + 4. Let r be ((-198)/55)/(4/(-10)). Let q = 13 - r. Calculate q*i(h) + 3*k(h).
3*h**3
Let w(a) = 4*a**3 + 7*a**2 - 7*a. Suppose 5*q - 15 = 0, -h - 3*h - 65 = -3*q. Let z(j) = -j**3 - 2*j**2 + 2*j. Calculate h*z(k) - 4*w(k).
-2*k**3
Let z(x) = 2*x + 4. Let d(m) be the second derivative of m**3/6 + m**2 + 12*m. Give -7*d(l) + 3*z(l).
-l - 2
Let v(t) = 2*t + 3. Suppose 0 = -w + 3. Let q(d) = 10 - 5 - 3*d + 3*d + w*d. Give 4*q(s) - 7*v(s).
-2*s - 1
Let b(l) = 2*l + 7. Let r(w) = -2*w - 8. Suppose 5*z - 10 = -5*o, o + 0*z - 14 = -4*z. What is o*r(t) - 3*b(t)?
-2*t - 5
Let s(t) = 7986*t - 7986*t - 2 + 2*t**3 + 4*t**2. Let o(n) = 2 + 2*n**2 - 1 - 3*n**2. What is 2*o(h) + s(h)?
2*h**3 + 2*h**2
Let f(w) = -5. Let g be -2 - 1/1 - (-14)/2. Let l(k) = -k - 6. What is g*f(c) - 3*l(c)?
3*c - 2
Let z(x) = -x + 1. Let f(v) = 2*v - 7. Let h be f(6). Let c(n) = n**3 - 12*n**2 + 2*n - 23. Let b be c(12). Let l(y) = 6*y - 5. Calculate b*l(o) + h*z(o).
o
Let a(t) = t + 1. Let y be (-4)/(-6) - 38/3. Let s = 13 + y. Let p(r) = -3*r. Let d be p(1). Let o(u) = u**2 + 4*u + 3. Calculate d*a(f) + s*o(f).
f**2 + f
Let s(p) = p - 10. Suppose -5*c = -4*c - 10. Suppose r = -v - 0*r - 2, -5*v - c = -2*r. Let o(m) = -1. Calculate v*s(f) + 18*o(f).
-2*f + 2
Let f(v) = 3*v - 3. Let o(z) = -z**3 + 13*z**2 + 4. Let i be o(13). Let g(l) = -4*l + 4. Calculate i*g(k) + 5*f(k).
-k + 1
Suppose -13 = -4*f + 15. Let a = 1 - f. Let o(i) = -5*i - 5. Let h(y) = -8*y - 7. Let b(p) = -5*h(p) + 7*o(p). Let r(m) = 4*m. Calculate a*b(l) + 7*r(l).
-2*l
Let f(y) = y**3 + 5. Suppose -45 = 55*w - 46*w. Let a(n) = -2 + 2 + 1. What is w*a(j) + f(j)?
j**3
Let u(h) = -4*h. Let l(g) = -1. Let j(t) = -5*t - 3. Let r(n) = -j(n) + 3*l(n). Let z = -10 - -3. What is z*u(a) - 6*r(a)?
-2*a
Let o(u) = u**3 - u**2 - 1. Let y(k) = -5*k**3 + 6*k**2 + 2*k - 6. Give 6*o(z) + y(z).
z**3 + 2*z - 12
Let z(j) = j**2 - 14*j + 1. Let w be z(14). Let r(q) = -w - q + 6*q - 4*q. Let l = -5 + 3. Let d(c) = 6*c - 5. Calculate l*d(m) + 10*r(m).
-2*m
Let r(h) be the third derivative of 1/24*h**4 - 2*h**2 + 0 - 1/6*h**3 + 0*h. Let m(z) = 7*z - 5. Let w be -3 + 2 + 1 + 5. Give w*r(n) - m(n).
-2*n
Let m(o) = 2*o**3 + 2*o**2 + 5*o - 3. Suppose 5*j + 3 = z - 16, -5*j - 15 = 0. Let k(g) = 2*g**3 + 3*g**2 + 6*g - 4. Calculate z*m(p) - 3*k(p).
2*p**3 - p**2 + 2*p
Let u(x) = -7*x**2 + 28*x + 6. Let j(r) = 15*r**2 - 55*r - 13. Determine 6*j(a) + 13*u(a).
-a**2 + 34*a
Let l(p) = p**2 - p + 1. Let m(z) = z**2 - 3*z + 4. Let d = -51 + 55. Calculate d*l(s) - m(s).
3*s**2 - s
Let h(n) = 10*n**2 - 31*n**2 - 3*n - 3 + 16*n**2. Let u(r) = 11*r**2 + 7*r + 7. What is 7*h(o) + 3*u(o)?
-2*o**2
Let x(l) = -l**3 - 5*l**2 + 5*l**2. Let f(o) = o**3 - o**3 + 3*o**3. Suppose 0 = w - 8 + 2. Determine w*f(z) + 17*x(z).
z**3
Let r(w) = 5*w - 5. Let a(v) = -v - 1. Let i be a(6). Let b(j) = 9*j - 9. Let n(o) = i*r(o) + 4*b(o). Let m(k) = -k**2 - 3*k + 2. What is m(t) + 2*n(t)?
-t**2 - t
Let u(a) = 4*a**2 + 8*a + 1. Let s be (-14)/(-3) + 1/3. Let f(d) = 1 - 63*d**2 + 33*d**2 + 7*d + 33*d**2. Give s*u(n) - 6*f(n).
2*n**2 - 2*n - 1
Let l(w) be the second derivative of w**4/2 + w**3/3 - 7*w**2/2 - 25*w. Let v(f) = -4*f**2 - f + 5. Determine -5*l(n) - 7*v(n).
-2*n**2 - 3*n
Let n(w) = 30*w**3 - 45*w**2 + 9. Let a(t) = t**3 - t**2 - 1. Let s(o) = 18*a(o) - n(o). Let d(r) = -r**3 + 2*r**2 - 2. What is 27*d(g) - 2*s(g)?
-3*g**3
Suppose 4*y = 3*t + 1, 4*t + 0 - 4 = 0. Let v(i) = -i**3 + i**2 + i - 1. Let n(d) = 6*d**3 - 6*d**2 - 4*d + 6. Give y*n(r) + 4*v(r).
2*r**3 - 2*r**2 + 2
Let f(l) = -2*l**3 - 5*l**2 - l + 9. Let v = 35 - 11. Suppose 4*h = h + 4*w + v, h - 8 = -4*w. Let o(x) = 3*x**3 + 8*x**2 + 2*x - 14. What is h*f(p) + 5*o(p)?
-p**3 + 2*p + 2
Let i(k) = 4*k. Suppose 2*j - 16 = -2*j. Suppose 0 = -3*x + 4 + 17. Suppose -a = -w - 0*w + x, 0 = 3*w - 4*a - 25. Let o(d) = -5*d. What is j*i(h) + w*o(h)?
h
Let a(i) = 7*i**3 + 4*i**2 - 7*i + 6. Let t = 8 - 15. Suppose -8*m = 3*m - 66. Let r(d) = 8*d**3 + 5*d**2 - 8*d + 7. Give m*r(f) + t*a(f).
-f**3 + 2*f**2 + f
Let y(u) = -u**2 - u + 1. Let k(d) = -2*d**3 - 6*d**2 - 6*d + 6. Determine -5*k(b) + 30*y(b).
10*b**3
Suppose s + 21 = 5*c + 5*s, -3*s + 13 = c. Let w(l) = -1. Let b(m) = 2*m - 8. What is c*b(u) - 10*w(u)?
2*u + 2
Let o(w) = 5*w**3 - 3*w**2 - 5*w - 8. Let i(a) = -3*a**3 + a**2 + 2*a + 4. Give -7*i(z) - 3*o(z).
6*z**3 + 2*z**2 + z - 4
Let r(a) = 26*a**3 + 3*a**2 - 17*a. Let o(u) = -9*u**3 - u**2 + 6*u. Calculate 11*o(v) + 4*r(v).
5*v**3 + v**2 - 2*v
Let s(k) = 1. Let q(n) = n - 9. Suppose 2*o - 14 = -4*j, 0 = 2*o - 0*j + 5*j - 18. Determine o*q(d) - 5*s(d).
-d + 4
Let i(f) = 6*f**3 - 5*f + 3. Let k(r) = 13*r**3 - 11*r + 7. Calculate -9*i(p) + 4*k(p).
-2*p**3 + p + 1
Let t(p) = 2*p**3 - 2*p**2 - 7*p + 4. Let h(m) = -2*m**3 + 2*m**2 + 6*m - 4. What is 5*h(d) + 4*t(d)?
-2*d**3 + 2*d**2 + 2*d - 4
Let u(x) = -9*x**2 - 5*x. Let c(n) = -n**2 - n. Calculate -6*c(o) + u(o).
-3*o**2 + o
Let k(u) = 2*u + 5. Let g(l) = 1. Let v(t) = -2. Let c(m) = -5*g(m) - 2*v(m). Determine 4*c(y) + k(y).
2*y + 1
Let j(b) = -2*b**2 + 5*b + 7. Let n(l) = -3*l**2 - 9*l - 13. Let k(r) = 2*r**2 + 9*r + 13. Let m(c) = 7*k(c) + 6*n(c). Calculate 11*j(p) - 6*m(p).
2*p**2 + p - 1
Let f(h) = -h - 1. Let n(j) = -4*j - 27. Give 5*f(w) - n(w).
-w + 22
Let n(w) = 4*w**3 - 5 + 2*w**3 + 1. Let l(c) = -c**3 + 1. Let g = -69 - -68. What is g*n(s) - 4*l(s)?
-2*s**3
Let h(z) = -z - 1. Let q(u) = 20*u + 12. Let o(t) = -12*h(t) - q(t). Let v(l) = 7*l. Calculate 4*o(s) + 5*v(s).
3*s
Let l be (-28)/6 + 2/3. Let c = l + 9. Let j(i) = -13*i**2 + 13*i + 13. Let g(z) = -9*z**2 + 9*z + 9. What is c*j(x) - 7*g(x)?
-2*x**2 + 2*x + 2
Let y(f) = 3*f. Let j = -6 - -6. Suppose j = -t - 2 + 7. Suppose -5*u - h + 7 = 0, -u -