- 4. Let y(k) = -3*k + 2. Calculate -2*q(t) - 3*y(t).
t - 4
Let h(z) = 5875*z**3 - 376*z**2 + 376*z - 376. Let t(n) = -47*n**3 + 3*n**2 - 3*n + 3. Give 3*h(s) + 376*t(s).
-47*s**3
Let b(t) = -8*t**3 + t**2 + 5*t. Suppose 5*s - 3*w = 10, -22 = -3*s - 5*w + 10*w. Suppose -18 = 4*y - y. Let c(n) = n**3 - n. Determine s*b(m) + y*c(m).
2*m**3 - m**2 + m
Let d(f) = -f**3 + 6*f**2 - 6. Let h(v) = 2*v**3 - 13*v**2 + 13. Suppose 10*u = 5*u. Suppose 2*m - 3*l + 9 = u, 2*m + 16 = -5*l - 1. Give m*h(r) - 13*d(r).
r**3
Let b(x) be the third derivative of -x**5/30 + x**4/12 + x**3/3 - x**2. Let u(r) = 1. Suppose 4*a - 4 = z - a, 2*a - 1 = z. What is z*b(k) - u(k)?
-2*k**2 + 2*k + 1
Let w(k) = -2*k - 5. Let g = 2 + -2. Let m(v) = -4 + g*v + 3*v - 5*v. Let q be 4*(-3)/(-6) - 0. Calculate q*w(n) - 3*m(n).
2*n + 2
Let o(u) = -u**2 + 3*u - 2. Suppose -2*q + z + 12 = q, -z + 18 = 3*q. Let v(b) = -5*b - 4*b + 2*b**2 - b + 3*b + 4. What is q*o(x) + 2*v(x)?
-x**2 + x - 2
Let a(u) = -1. Let t(q) = -3*q + 4. What is -2*a(c) - t(c)?
3*c - 2
Let p(d) = d**2 - 2*d + 2. Let f = 6 - 7. Let h(l) = -l + 1. What is f*p(c) + 2*h(c)?
-c**2
Let o(y) = y + 1. Suppose 2*f - 4*q = 4, 3*f = q - 1 + 2. Let p(x) be the third derivative of 0*x + 1/8*x**4 + 1/2*x**3 - 3*x**2 + f. What is 10*o(v) - 4*p(v)?
-2*v - 2
Let w(h) = 1. Let o(n) = -5*n - 4. Let q(a) = -11*a - 7. Let c(v) = -5*o(v) + 2*q(v). Give c(p) - 6*w(p).
3*p
Let c(g) = 2*g**2 + 8*g - 4. Suppose 0*r + 5 = -r. Let o be c(r). Let y(q) = 3*q**3 + 6. Let t(x) = x**3 + 1. Calculate o*t(d) - y(d).
3*d**3
Let c(f) = 5*f - 5. Let y = -8 + 15. Suppose -4*w - y = -3*w. Let l(q) be the second derivative of -q**3/3 + q**2 - q. Determine w*l(d) - 3*c(d).
-d + 1
Let m(u) = -6*u**2 - 40*u - 2. Let o(v) = v**2 - v + 1. Calculate -m(f) - 4*o(f).
2*f**2 + 44*f - 2
Let m(f) = -f**3 + f**2 + 2. Let y(q) = -q**3 + q**2 + 1. Let b be 0/(-3) + 7 + -4. Give b*m(d) - 5*y(d).
2*d**3 - 2*d**2 + 1
Let b(x) = 8*x - 3. Let r(c) be the third derivative of 23*c**4/24 - 3*c**3/2 + 5*c**2. Give -17*b(v) + 6*r(v).
2*v - 3
Let l(u) = u**2 + 2*u + 2. Let n(a) = 4*a**2 + 9*a + 9. Let i(w) = w - 14. Let f be i(13). Let s be (0 + 9)/(f - 0). What is s*l(h) + 2*n(h)?
-h**2
Let t(u) be the first derivative of u**3 - 2*u**2 + 4*u + 18. Let q be 129/27 - (-2)/9. Let f(o) = -o - 8*o + 4 + 7*o**2 + q. Give 4*f(i) - 9*t(i).
i**2
Let w(s) = 2*s - 1. Suppose x = -2*l + 3*l - 5, -2 = x. Let y(o) = -3*o + 2. Determine l*y(m) + 5*w(m).
m + 1
Let h(g) = -3*g - 11. Let x(f) = f + 5. Give -6*h(a) - 15*x(a).
3*a - 9
Let w(i) = 3*i**3 - 2*i - 2. Let v(y) = -8*y**3 + 9 + 11*y**3 + 9*y - 16*y**3. Give -2*v(p) - 9*w(p).
-p**3
Let x = 6 - 6. Suppose x = -2*g - 3 - 9. Let o(s) = -17*s + 13. Let b(p) = 4*p - 3. Determine g*o(a) - 26*b(a).
-2*a
Let w(j) = -36*j**3 - 27*j**2. Let x(f) = 5*f**3 + 4*f**2. Determine 4*w(d) + 27*x(d).
-9*d**3
Let f(h) = -4*h + 3. Let k = -2 - 1. Let s = 5 + k. Let q(d) = -3*d + 2. Give s*f(y) - 3*q(y).
y
Let n(p) = -4*p**3 + 4*p**2 + 2*p - 2. Let g(j) = j**3 - j**2 + j. What is 3*g(v) + n(v)?
-v**3 + v**2 + 5*v - 2
Let x(l) = -l**2 + 2*l. Suppose 4*k + 8 = -0*k. Let u(f) = 2*f**2 - 3*f. What is k*u(a) - 3*x(a)?
-a**2
Let t(s) = -68*s + 4. Let o(l) = 68*l - 3. Determine -6*o(m) - 5*t(m).
-68*m - 2
Let f(j) = j - 3. Let u be f(5). Let a(h) = 3*h - 4*h + 6*h. Let l(g) = 4*g. Calculate u*a(c) - 3*l(c).
-2*c
Let t(r) = -2*r**3 - 2*r**2 - 2*r + 5. Let g(k) = k**3 + 3*k**2 + 2*k - 4. Give -3*g(y) - 2*t(y).
y**3 - 5*y**2 - 2*y + 2
Let t(m) = 9*m + 6. Let p(k) = -9*k - 7. Determine -4*p(c) - 5*t(c).
-9*c - 2
Let h(k) = 4*k**3 - k**2. Suppose -8 = 2*d + c, -2*d + 3*d + 3*c + 14 = 0. Let g(x) = 17*x**3 - 4*x**2. Give d*g(q) + 9*h(q).
2*q**3 - q**2
Let l(n) = n - 1. Let w(v) = 60*v - 35*v - 6*v**2 + 3 - 28*v. What is 3*l(z) + w(z)?
-6*z**2
Let h(t) = 12*t**2 + 11*t. Let f(w) = w**2 + w. Let k be (-3 - -2)*(-2)/(-1). Determine k*h(c) + 22*f(c).
-2*c**2
Let n(o) = o**2 + o + 1. Let w(h) be the first derivative of 4*h**3/3 + 3*h**2/2 + 4*h - 14. Give 3*n(j) - w(j).
-j**2 - 1
Let j(g) = -7*g**2 + 2*g + 4. Let y(d) = 20*d**2 - 6*d - 11. Determine 17*j(i) + 6*y(i).
i**2 - 2*i + 2
Suppose v = 6*v - 3*f + 60, -60 = 5*v - f. Let i(a) = -4*a**2 - 9*a - 5. Let m(u) = -10*u**2 - 22*u - 12. What is v*i(k) + 5*m(k)?
-2*k**2 - 2*k
Let p(t) = 4*t**3 - 6*t**2 - 6*t + 8. Let b(q) = -q**3 - q**2 - q + 1. Let w(o) = 4*o**3 + 6*o**2 + 6*o - 6. Let u(n) = -5*b(n) - w(n). Give p(a) - 6*u(a).
-2*a**3 + 2
Let h(y) = 0*y**2 - 4*y**2 - 2*y - 3*y**2 - 5*y**3. Let i(k) = -2*k**3 - 3*k**2 - k. Calculate 3*h(f) - 7*i(f).
-f**3 + f
Let q(k) = 12*k - 1. Let n(w) be the second derivative of w**3/6 + w. What is 22*n(l) - 2*q(l)?
-2*l + 2
Let g(b) = -91*b + 13. Let l(i) = -15*i + 2. Determine -4*g(x) + 26*l(x).
-26*x
Let p(k) = -8*k**2 - 13. Let l(f) = f**2 + f - 1. Let y(r) = -4*r**2 - 2*r - 1. Let d(c) = 2*l(c) + y(c). Give -9*d(v) + 2*p(v).
2*v**2 + 1
Let s(x) = -1. Let k(b) = 3*b + 7. Let w be (-2)/(-6) + (-1)/(12/16). Calculate w*k(h) - 6*s(h).
-3*h - 1
Let b(h) = 2*h + 3. Suppose -2*c = 7*c - 135. Let o(l) = l + 1. Give c*o(s) - 5*b(s).
5*s
Let m(k) = 11*k**2 - k + 2. Let p(f) = 22*f**2 - 2*f + 4. Give 5*m(t) - 3*p(t).
-11*t**2 + t - 2
Let a(x) = -x**3 + x**2 - x + 1. Let q(r) = -6*r**3 + 18*r**2 - 8*r + 8. What is 8*a(y) - q(y)?
-2*y**3 - 10*y**2
Let c = 22 - 17. Let q(p) = 4. Let n(o) = -3. Let v(s) = 3*n(s) + 2*q(s). Let g(f) = -f + 6. Give c*v(x) + g(x).
-x + 1
Let m(l) be the second derivative of l**3/3 + 2*l**2 + 5*l. Let z(d) = -d**2 + d - 11. Let f be z(0). Let v(w) = -4*w - 7. Calculate f*m(s) - 6*v(s).
2*s - 2
Let h(r) = 8*r**2 + 3*r + 4. Let w(t) = -t**2 - 1. Determine -h(d) - 4*w(d).
-4*d**2 - 3*d
Let b(g) = -g**3. Let u(m) = -3*m**3 - m. Calculate -6*b(q) - u(q).
9*q**3 + q
Let a(g) be the second derivative of 3*g**5/20 - g**4/4 + 2*g**2 + g. Let n(s) = -2*s**2 - 3*s**2 + 5*s**3 + 0*s**3 + 7. What is 7*a(m) - 4*n(m)?
m**3 - m**2
Let n(i) = -i**2 + 3*i + 81. Let f(l) = -2*l**2 + 5*l + 163. Give -3*f(r) + 5*n(r).
r**2 - 84
Let r(v) = 2*v + 1. Let s(j) = -1. Let g(q) = q**2 + 14*q + 6. Let d be g(-14). Let p(t) = -t**2 + 7*t - 7. Let n be p(d). Give n*r(o) - 2*s(o).
-2*o + 1
Let s(v) = 3*v**3 - 5*v**2. Let h(u) be the first derivative of -13*u**4/4 + 7*u**3 + 2. What is -2*h(k) - 9*s(k)?
-k**3 + 3*k**2
Let q(r) = -22*r - 10. Let w(h) = 5 - 3 + 7*h + 1 + 0. Let n be (-2)/(-3) + 150/(-9). Determine n*w(m) - 5*q(m).
-2*m + 2
Let s be (-10)/(-4) - (-7)/14. Let q(n) = 3 + 1 - n**2 - s - 2. Let o(w) = 3*w**2 + w + 3. Calculate -2*o(c) - 4*q(c).
-2*c**2 - 2*c - 2
Let o(a) = -2*a**3 - 8*a. Let m(k) = -k**3 - 7*k. Determine 6*m(l) - 5*o(l).
4*l**3 - 2*l
Let d(a) = 7*a**2 - 2. Let h(b) = -1. Calculate -d(i) + 3*h(i).
-7*i**2 - 1
Let q(i) = i - 4. Let a(x) = -x + 4. Let s(y) = 4*a(y) + 3*q(y). Let m(t) = -2 + 0 + 4 - 4. Calculate -5*m(p) - 2*s(p).
2*p + 2
Let q(v) = -1. Let a(j) = -5. Let b(x) = a(x) - 3*q(x). Let k(d) = -d. What is -b(g) + 2*k(g)?
-2*g + 2
Let z(l) = -4*l + 2. Let p(k) = -k**2 + 5*k - 3. Suppose 6*t - 7*t = -2. Determine t*p(v) + 3*z(v).
-2*v**2 - 2*v
Let x(f) = -2*f**2 + 5*f + 4. Let o(y) = y**2 - 4*y - 3. Let t be 7/(-9) - (-2)/(-9). Let l = -4 - t. Give l*o(j) - 2*x(j).
j**2 + 2*j + 1
Let g(r) = -4*r + 1. Let k(j) = 5*j - 2. Let h(u) = -3*u - 30. Let d be h(-9). Give d*g(q) - 2*k(q).
2*q + 1
Let a(z) = 89*z**3 - 4*z**2 + 4*z + 4. Let n(u) = 13884*u**3 - 623*u**2 + 623*u + 623. Calculate 623*a(t) - 4*n(t).
-89*t**3
Let z(k) = -2*k - 47*k**2 + 54*k**2 - 2*k. Let w(c) = -c**2 + c. Calculate -4*w(u) - z(u).
-3*u**2
Let a(u) = 2*u**2 - 19. Let n(d) = -3*d**2 + 28. Calculate -7*a(z) - 5*n(z).
z**2 - 7
Suppose -4*s - 6 = -2*z + z, -2*z = -4*s - 4. Let g(j) = 16*j + 21. Let k(n) = 0 - 3*n + 2 - 4 - 2. Calculate s*g(h) - 11*k(h).
h + 2
Let b(n) = 2*n**2 - n + 1. Let p = 18 + -13. Let a(o) = 4*o**2 - 2*o + 2. Determine p*b(h) - 3*a(h).
-2*h**2 + h - 1
Let q(r) = -r**3 + r**2 + r + 1. Let u(b) be the third derivative of b**5/60 + b**4/24 + b**3/6 + 13*b**2. Determine q(t) - u(t).
-t**3
Let q(c) = -13*c**2 + 10*c. Let z = 1 - -6. Suppose -1 - 3 = 2*i. Let y(p) = -4*p**2 + 3*p. What is i*q(j) + z*y(j)?
-2*j**2 + j
Suppose -25 = -s - 20. Let a(n) = 6*n**2 - 2*n**3 + 3*n**2 + 5 + 5*n - 4*n