3
Let t(p) = 6*p**3 - 6*p**2 + 6*p - 11. Let v(h) = -5*h**3 + 5*h**2 - 5*h + 10. Determine -4*t(q) - 5*v(q).
q**3 - q**2 + q - 6
Let c(h) = -4*h**3 + 2*h**2 - 5*h. Let m(p) = 7*p**3 - 4*p**2 + 9*p. Suppose 0 = -0*b - b - 3*f + 21, 4*b = -4*f + 44. Determine b*m(j) + 11*c(j).
-2*j**3 - 2*j**2 - j
Let j(v) = -6*v - 1. Suppose 12 = -3*o, 2*o = 2*z - 2 + 6. Let p(u) = 7*u + 1. What is z*j(k) - 5*p(k)?
k + 1
Let t(a) = a**3 + a**2 - a - 1. Let l = -45 - -36. Let w be 2/(-4)*-2*-5. Let o be w/2*(l + 11). Let g(f) = -7*f**3 - 6*f**2 + 5*f + 5. Determine o*t(v) - g(v).
2*v**3 + v**2
Suppose 2*s - 2*d = -10, 5 = 2*s + 4*d - d. Let r(o) = -4*o**2 - 3*o - 1. Let h(g) = 3*g**2 + 2*g. Suppose -2*i = -3 + 9. Calculate i*h(n) + s*r(n).
-n**2 + 2
Let b(x) = -x. Let a(f) = -7*f + 4. Let h be a(5). Let g be h/(-6) + 3/(-18). Let c(t) = -3 + 3*t + 0*t + 4. What is g*b(m) + 2*c(m)?
m + 2
Let m(u) = 3*u - 7. Let g(o) = -4*o + 10. What is 5*g(z) + 7*m(z)?
z + 1
Suppose 0 = -5*k + 5, a + 5*k + 3 - 6 = 0. Let r(p) = -13*p + 17. Let n(t) = 10 - 3*t - 6 + 0 + 0*t. Give a*r(x) + 9*n(x).
-x + 2
Let b(m) be the first derivative of 3*m**2/2 + 4*m + 1. Let z(j) be the third derivative of j**4/12 + j**3/2 - 3*j**2. What is -5*b(n) + 7*z(n)?
-n + 1
Let u(q) = -24*q. Let j(r) = 23*r. Calculate -6*j(c) - 7*u(c).
30*c
Let p(i) = 7*i + 4. Let r(d) = -2 - 8*d - 13 + 8 + 2. Let s = -6 - -2. Give s*r(u) - 5*p(u).
-3*u
Let p(z) = 3*z**3 + z**2 + 6. Let v(m) be the third derivative of -m**6/30 - m**5/60 - 7*m**3/6 - m**2. Suppose -r - 3*r - 20 = 0. What is r*p(k) - 4*v(k)?
k**3 - k**2 - 2
Let o(w) = 4*w - 3. Let m be o(2). Let i(k) = 2*k**2 + 2. Let j be ((3/(-4))/(3/12))/1. Let q(l) = 3*l**2 + 4. What is j*q(s) + m*i(s)?
s**2 - 2
Let x(l) = 3*l**2. Suppose 3*j = -2*j - 10. Let q(v) = -v**2. Determine j*x(s) - 9*q(s).
3*s**2
Let g = 13 + -8. Let f(y) = -4*y**2 + 7*y - 7. Let p(i) be the first derivative of 2*i**3 - 11*i**2/2 + 11*i - 1. Calculate g*p(d) + 8*f(d).
-2*d**2 + d - 1
Let c(q) = -16*q**2 - 11*q. Let h(j) = -j + 22. Let v be h(0). Let o(u) = -u**2 - 2*u. Let z(r) = 2*r. Let y(b) = -3*o(b) - 2*z(b). Determine v*y(s) + 4*c(s).
2*s**2
Let n(x) = -4*x**3 - 7*x**2 + 7. Let y(k) be the second derivative of k**5/20 + k**4/6 - k**2 + 3*k. Give -2*n(u) - 7*y(u).
u**3
Let m(b) = 0 + 2 + 1 - 2*b + 2. Let q(x) = 6*x - 9. Let s(n) = -13*n + 17. Let c(g) = -5*q(g) - 2*s(g). Give -6*c(u) + 13*m(u).
-2*u - 1
Let k(x) be the third derivative of -x**5/20 - 7*x**4/24 + x**3 + 29*x**2. Let t(o) = -4*o**2 - 8*o + 7. Determine -5*k(u) + 4*t(u).
-u**2 + 3*u - 2
Let q(v) = 3*v**3 - 4*v**2 + 4. Let a(n) = -n**3 - 1. Determine -4*a(u) - q(u).
u**3 + 4*u**2
Let o(b) = b - 64. Let d(h) = -h + 65. What is 2*d(t) + 3*o(t)?
t - 62
Let u(m) = -m**2 + m - 1. Let q(j) = -j**2. Let o(p) = -4*q(p) + 3*u(p). Let f(w) = -w**2 - 4*w + 4. Let k = 12 + -9. Let s = -1 - -5. What is k*f(x) + s*o(x)?
x**2
Let i(l) be the second derivative of 0 + 2*l + 1/3*l**3 - l**2. Let a(p) be the first derivative of -p - 1. Give -3*a(v) + i(v).
2*v + 1
Let l(s) be the first derivative of -s + 2. Let h(t) = -t**2 - 3*t + 0*t**2 - 2 + 4*t. Suppose -5*n = -0*n - 10. Calculate n*h(i) - 3*l(i).
-2*i**2 + 2*i - 1
Let m be (3 - (-3)/(-1)) + 2. Let i(c) = -4*c**3 + 5*c**2 - 5*c + 3. Let n(j) = 2*j**3 - 2*j**2 + 2*j - 1. Give m*i(w) + 5*n(w).
2*w**3 + 1
Let i(b) = b - 5. Let v be i(6). Let a(l) = 4*l - 1. Let f be a(v). Let u(x) = -x**2 - x + 3. Let g(c) = -c + 1. Determine f*g(o) - u(o).
o**2 - 2*o
Let z(v) be the second derivative of -4*v**3/3 - 3*v**2 - 2*v. Let o(f) = -23*f - 17. Let b be (-15)/(-2)*(-8)/(-10). What is b*o(g) - 17*z(g)?
-2*g
Let x(o) = -3*o - 9. Let k(q) = -16*q - 45. Calculate -2*k(y) + 11*x(y).
-y - 9
Let x(o) = -11*o**3 - 2. Let z(r) = -297*r**3 - 55. What is 55*x(y) - 2*z(y)?
-11*y**3
Let n(z) = -2*z**3 + 3*z**2 + 10. Let r(d) = d**2 - 1. Determine -n(y) + 3*r(y).
2*y**3 - 13
Let j(g) = 6*g**2 + 3. Let u(s) be the second derivative of 11*s**4/12 + 5*s**2/2 + 9*s. What is 5*j(q) - 3*u(q)?
-3*q**2
Let a(i) = -1. Let z(t) be the first derivative of 2*t**3/3 + t**2 + 6*t - 16. Let p be (2 - (-2 + 2))/2. Determine p*z(x) + 4*a(x).
2*x**2 + 2*x + 2
Let g = 1 - -3. Suppose g*r + 10 = 30. Let y(i) = 9 + 2*i - 2 - i. Let j(m) = m + 4. Determine r*j(w) - 3*y(w).
2*w - 1
Let z(i) = -4*i**3 + i - 2. Suppose -w - 1 = 2*b, -w + 3*b + 15 = 2*w. Let h(t) = 5*t**3 + t**2 + 3. Determine w*z(q) + 2*h(q).
-2*q**3 + 2*q**2 + 3*q
Let j = 0 - -2. Suppose -7 = -w - 5*c, c = -j*c + 6. Let p be -4 + 4/2 + w. Let n(v) = -2*v**2 + 3*v + 4. Let d(t) = -4*t**2 + 5*t + 7. Give p*n(a) + 3*d(a).
-2*a**2 + 1
Let x(l) = -l + 1. Let z(v) = 3*v**2 - 6*v + 6. Let y(q) = -7*q**2 + 13*q - 12. Let u(b) = 4*y(b) + 9*z(b). Calculate u(s) - 2*x(s).
-s**2 + 4
Let u(q) = -5*q**3 - 2*q**2 + 2*q. Suppose 12 = c - 2*m, -5*m - 36 = -c - 3*c. Let j(l) = 6*l**3 + 3*l**2 - 3*l. Give c*j(h) + 5*u(h).
-h**3 + 2*h**2 - 2*h
Let n(x) be the second derivative of 2*x**3/3 + 3*x**2/2 + 2*x. Let l = -10 + 5. Suppose -3*m = -1 + 22. Let o(i) = -3*i - 2. Calculate l*n(d) + m*o(d).
d - 1
Let v(w) = 2*w - 2. Let t(z) = 1. Let l be -4*(15/4 + -3). Give l*t(b) - v(b).
-2*b - 1
Let m(k) = -5*k + 7. Let j(d) be the second derivative of d**3/3 - 3*d**2/2 - 4*d. Suppose 5*s - 2 + 7 = 0. Let y = s + 4. Calculate y*m(w) + 7*j(w).
-w
Let h(j) be the second derivative of -5*j**3/6 + j. Let l(y) = 4*y - 3*y + 0*y. Let q(z) = -z - 14. Let m be q(-10). Determine m*h(a) - 22*l(a).
-2*a
Let x(o) = 5*o**2 - 2*o + 12. Let b(v) = v**2 + v - 1. Let h(a) = -3*a**2 - 6*a + 9. Let i(d) = 5*b(d) + h(d). What is -8*i(l) + 3*x(l)?
-l**2 + 2*l + 4
Let o(i) = 3*i**2 - 8. Let x(j) = -4*j**2 + 9. Give 5*o(h) + 4*x(h).
-h**2 - 4
Suppose -87 = 7*y - 122. Let w(a) = 6*a**3 + 7*a**2 - 5*a - 6. Let q(c) = 5*c**3 + 6*c**2 - 4*c - 5. What is y*q(v) - 4*w(v)?
v**3 + 2*v**2 - 1
Let x(h) = -2*h + 2. Let w(r) = -2*r + 3. Suppose 5*i - 3 = 17. Suppose -5*m - v = -16, -3*m + 4*v = -i*m + 7. Let u = -39 + 35. Give m*w(l) + u*x(l).
2*l + 1
Let h(x) = -x - 1. Let a(o) = -2*o - 2. Let v(g) = 2*a(g) - 3*h(g). Let p(y) = -5*y**2 - 10*y - 10. Give p(z) - 10*v(z).
-5*z**2
Let d(j) = j**3 - 2*j - 2. Let q(c) = -5*c**3 + 11*c + 9. Determine 11*d(v) + 2*q(v).
v**3 - 4
Let o(k) = -3*k**3 - 4*k**2 + 4. Let n = 0 + 1. Let s(u) = 2*u + 26. Let d be s(-11). Let t(z) = z**3 + z**2 - 1. Give d*t(f) + n*o(f).
f**3
Let x(r) = -2*r**2 + 4*r + 5. Let w(q) = 2*q**2 - 3*q - 4. Determine 3*w(n) + 2*x(n).
2*n**2 - n - 2
Let l(n) = -4*n + 9. Let v(f) = 14 - 4 - 1 - 2*f - 5. Calculate 3*l(r) - 7*v(r).
2*r - 1
Let a(m) be the first derivative of m**3/3 + 3*m**2/2 + 5*m - 34. Let z(p) = p + 1. What is -a(l) + 5*z(l)?
-l**2 + 2*l
Let m(g) = g - 1. Let h(i) = -19*i - 2 - i**2 + 0 + 7. Suppose 19 + 9 = 4*v. Let n(y) = -y**2 - 28*y + 8. Let w(x) = v*h(x) - 5*n(x). Calculate -6*m(p) + w(p).
-2*p**2 + p + 1
Let d(g) = -g**3 - 6*g**2 + 5*g + 14. Let h be d(-6). Let u(l) = 26*l + 16. Let i(s) = 5*s + 3. Determine h*i(x) + 3*u(x).
-2*x
Let v(z) = z. Let c(d) = -2. Give c(w) + 3*v(w).
3*w - 2
Let x(p) = 2*p**2 - p + 2. Suppose v - 4 = -4*q, -4*v = -q + 4*q - 3. Let i(z) = 3*z**2 + 1 - 2*z**2 - 3*z + 2*z + v. Determine 3*i(y) - x(y).
y**2 - 2*y + 1
Let t(s) = 4*s**2 + s + 4. Let w(r) = -3 - 3*r**2 + 2 + 0 + 2*r**2. Give t(p) + 5*w(p).
-p**2 + p - 1
Let i(b) = -2*b**2 - 12*b - 4 + 4*b + 6*b. Let s(j) = 2*j - 3 - j - 2*j**2 - 3*j. Calculate 2*i(k) - 3*s(k).
2*k**2 + 2*k + 1
Let r(a) = 25*a + 2. Let f(c) = 24*c + 3. Calculate 2*f(z) - 3*r(z).
-27*z
Let w(h) = h - 1. Let l(k) = -6*k + 1. Let u(d) = l(d) + 2*w(d). Let o(v) = -4*v - 1. Give 3*o(s) - 4*u(s).
4*s + 1
Let l(w) = w**3 + w + 1. Let n(t) = -2*t**3 - 7*t - 23. Calculate 5*l(r) + n(r).
3*r**3 - 2*r - 18
Let h(t) = t**2. Let j(z) = 4*z**2 + z + 4. Give 6*h(l) - j(l).
2*l**2 - l - 4
Let v(f) = -2*f**3 - 11*f**2 + 9*f - 7. Let m(b) = b**3 + 6*b**2 - 5*b + 4. Give 11*m(t) + 6*v(t).
-t**3 - t + 2
Let o(r) = 2*r**2 - 3*r - 1. Let d(z) = 2*z**2 - 2*z - 1. Suppose 2*s = 6 + 2. What is s*o(b) - 5*d(b)?
-2*b**2 - 2*b + 1
Suppose 2*l - 2 = 10. Let g(b) = -7*b + 1. Let t(k) = 8*k - 1. What is l*g(x) + 5*t(x)?
-2*x + 1
Suppose -20 = l - 3*l. Let d = -13 + l. Let u(i) = 5*i**3 - 3*i**2 - 3*i - 3. Let w(j) = -4*j**3 +