
Let i(h) = -14*h**3 - 6*h**2 + 6. Let a(u) = -u**3 - u**2 + 1. Determine 6*a(d) - i(d).
8*d**3
Let x(t) be the first derivative of 4*t - 7. Let k(i) = -i - 5. What is 2*k(s) + 3*x(s)?
-2*s + 2
Let u(o) = 8*o**3 - 4*o**2 - 4*o + 4. Let d(b) = 8*b**3 - 3*b**2 - 3*b + 3. Determine -4*d(g) + 3*u(g).
-8*g**3
Let b(t) = t**2 - t - 1. Suppose 19*z = 3*z + 96. Let h(u) = 4*u**2 - 9*u - 7. What is z*b(i) - h(i)?
2*i**2 + 3*i + 1
Let k(n) = 4*n**3 - 6*n**2 - 5*n - 4. Let z(f) = -13*f**3 + 19*f**2 + 16*f + 13. Determine -7*k(a) - 2*z(a).
-2*a**3 + 4*a**2 + 3*a + 2
Let h(v) = 2*v**2 - 7*v. Let a(r) be the first derivative of 2*r**3/3 - 4*r**2 + 9. Suppose 2*s - 20 = l - 6*l, 0 = -3*s - 15. Calculate l*a(g) - 7*h(g).
-2*g**2 + g
Let p(r) = -4*r**3 - 5*r**2 - 7*r + 7. Let o be (-3)/2*(-1 - -3). Let c(j) = 2*j**3 + 2*j**2 + 3*j - 3. Determine o*p(h) - 7*c(h).
-2*h**3 + h**2
Let s(a) = 4*a**3 - a - 2. Let g(p) be the third derivative of p**2 + 0*p**5 + 0 + 1/8*p**4 + 7/6*p**3 - 13/120*p**6 + 0*p. Determine -2*g(d) - 7*s(d).
-2*d**3 + d
Let m(j) = -13*j - 3. Let p(t) = -t + 1. Let x be p(3). Let a(n) be the first derivative of -4 - 2*n**2 + 1 - 2*n**2 - n + 2*n**2. What is x*m(u) + 7*a(u)?
-2*u - 1
Suppose 6*h + 15 = h. Let v(z) = -3*z + 5. Let n(p) = p - 2. Calculate h*v(d) - 8*n(d).
d + 1
Let u(d) = 4. Let a(g) be the third derivative of -g**4/24 - 5*g**3/6 + 18*g**2. What is -3*a(w) - 4*u(w)?
3*w - 1
Let i(o) = 5*o**3 - 2*o**2 - 3*o + 7. Let p(z) = -z**3 + z**2 + z. Determine -i(h) - 2*p(h).
-3*h**3 + h - 7
Let i(k) = 16*k**3 - 11*k. Let v(c) = 17*c**3 - 11*c**2 - 15*c. Let d(o) = 9*o**3 - 6*o**2 - 8*o. Let m(g) = -11*d(g) + 6*v(g). Give -2*i(a) + 11*m(a).
a**3
Let q(t) = -5 - 3 + 4 + 5. Let f(z) = -z + 5. Give f(k) - 4*q(k).
-k + 1
Let i(x) = -6*x**2 - 2*x + 1. Let q(c) = -13*c**2 - 4*c + 2. Give 7*i(k) - 3*q(k).
-3*k**2 - 2*k + 1
Let c(j) = 14*j. Let n(t) = 70*t. Determine -16*c(l) + 3*n(l).
-14*l
Let w(p) = p**2 + 2*p. Let s(x) = x. Let b(u) = -u + 6. Let y be b(5). Let i = y + -4. Let q be (1 + -2 - i) + -4. What is q*w(c) + 6*s(c)?
-2*c**2 + 2*c
Let g(v) = 9*v**2 + 6*v + 11. Let j(f) = -6 + 19*f + 16*f - 5*f**2 - 38*f. Calculate -6*g(n) - 11*j(n).
n**2 - 3*n
Let n(y) = 3*y**2 - 19*y + 6. Let w(p) = p**2 - p + 1. Calculate -n(x) + 5*w(x).
2*x**2 + 14*x - 1
Let d(i) = 44*i + 1. Let x(j) = 222*j + 6. Determine 11*d(p) - 2*x(p).
40*p - 1
Let f(x) = x**3 + 5*x**2 + 3*x - 2. Let y(s) = 2*s**3 + 9*s**2 + 5*s - 3. Suppose 0 = 2*r + n + 5, -2*n - 8 = 3*r - 1. Calculate r*y(b) + 5*f(b).
-b**3 - 2*b**2 - 1
Let o(x) = -2. Suppose 0 = -0*g - g - 5*n + 20, -g + 14 = 3*n. Suppose 3*l + g*h + 7 = 23, -2*l = -3*h + 2. Let r(m) = -m - 1. Determine l*r(z) - o(z).
-2*z
Let s(q) = 2*q**3 + 6*q**2 + 9*q - 9. Let h(p) = p**3 + 3*p**2 + 4*p - 4. Give -9*h(t) + 4*s(t).
-t**3 - 3*t**2
Let t(u) = -11*u**2 - 2. Let b(k) = -5*k**2 - 1. Let i be ((-3)/9)/(-1)*42. Suppose -3*p = -p + i. Calculate p*b(l) + 3*t(l).
2*l**2 + 1
Let m(w) = -4. Let o(j) = 3. Let q(n) = 5*m(n) + 6*o(n). Let l(y) = y + 1. Determine 3*l(b) + q(b).
3*b + 1
Let l(t) = -7*t + 1. Suppose 0 = 2*o + 8. Let r(f) be the third derivative of f**4/4 - f**3/6 + 14*f**2. Calculate o*l(b) - 5*r(b).
-2*b + 1
Let k(o) = o**3 - o**2 + o - 1. Let x(c) = -c**3 - 6*c**3 - 5*c + 4*c**2 + 3*c**3 + 3 + 3. Determine 5*k(m) + x(m).
m**3 - m**2 + 1
Let t(m) = m**2 + 13*m + 2. Let w(z) = -3*z**2 - 39*z - 6. Calculate -7*t(a) - 2*w(a).
-a**2 - 13*a - 2
Let y(z) = 1. Let b(v) = -v**3 + v**3 - 2*v**3 - 4 - v**2. Give b(c) + 6*y(c).
-2*c**3 - c**2 + 2
Let a(v) = 4. Let x(g) = g + 1. Suppose -2*i + 2 = 4. Calculate i*a(t) + 4*x(t).
4*t
Let k(d) = -2*d + 1. Let c(m) = -m**2 + 4*m + 6. Let t be c(4). Let g(z) = 9*z - 4. Give t*g(u) + 26*k(u).
2*u + 2
Let b(x) = -9*x**2 - 7*x - 7. Let s(o) = -2*o**2 + 27*o + 8. Let f be s(14). Let q(l) = l**2 + l + 1. Give f*q(m) - b(m).
3*m**2 + m + 1
Let b(j) = 3*j**3 + 2*j**2 + 16*j + 2. Let i(o) = -7*o**3 - 5*o**2 - 31*o - 5. Determine 5*b(t) + 2*i(t).
t**3 + 18*t
Let f(r) be the second derivative of r**3/2 + 7*r**2/2 - 22*r. Let z(n) = -6*n - 15. Give 13*f(w) + 6*z(w).
3*w + 1
Let d(j) = -9*j**3 - 5*j**2 - 5. Let p(q) = 14*q**3 + 8*q**2 + 8. Suppose -4*f - 5 = -m, 5*f + 3 = -4*m + 23. Determine m*p(n) + 8*d(n).
-2*n**3
Let z(p) = 2*p**3 - 2*p**2 - 4*p + 5. Let u(d) = 2*d**3 - 2*d**2 - 5*d + 6. Give 4*u(l) - 5*z(l).
-2*l**3 + 2*l**2 - 1
Let r(q) = -5*q**2 + 6*q - 4. Let v(t) = -6*t**2 + 7*t - 5. Determine 4*r(b) - 3*v(b).
-2*b**2 + 3*b - 1
Let v(f) = -3*f - 1. Let i(a) = -4*a - 2. Let h(d) = -3*d - 2. Let s(o) = -3*h(o) + 4*i(o). What is 2*s(t) - 5*v(t)?
t + 1
Let k(w) = w**2 - 1. Let z(l) = -2*l**3 - 4*l**2 + 7. Determine 5*k(o) + z(o).
-2*o**3 + o**2 + 2
Let g = 112 + -123. Let h(v) = -v + 11. Let j(o) be the first derivative of 0 - 2*o - 1 + 0*o. Calculate g*j(f) - 2*h(f).
2*f
Let y(q) = 9*q**3 - 5*q**2 - 7*q + 2. Let t(c) = -2 + 17*c**2 - 20*c**2 - 4*c + 3 + 5*c**3. What is 5*t(j) - 3*y(j)?
-2*j**3 + j - 1
Let g(k) = 22*k**2 - 12*k - 10. Suppose 2*o + 3*o - 30 = 0. Suppose -3*y + o = -6. Let c(p) = 9*p + 2 - y*p - 9*p**2 + 2. Calculate -12*c(x) - 5*g(x).
-2*x**2 + 2
Let w(l) = -11*l**2 + 13*l + 13. Let t(q) = -q**2 + q + 1. Calculate -78*t(x) + 6*w(x).
12*x**2
Let f(b) = -5*b + 1. Let o(a) = a**2 - a + 1. What is 2*f(w) - 4*o(w)?
-4*w**2 - 6*w - 2
Let r(g) = 4*g. Let d(b) = 3*b. Let o(h) = -h - 13. Let u be o(-13). Suppose -4*w + l - 23 = u, -w = -5*w - 5*l - 29. Determine w*d(s) + 4*r(s).
-2*s
Suppose -h + 1 = 2. Let z(w) = -w**3 + w**2. Let i(b) = b**2. Calculate h*z(l) + 2*i(l).
l**3 + l**2
Let p(w) = w**3 + 3*w**2 + w + 1. Let g(a) = 2*a**3 + 5*a**2 + 2*a + 2. Give -3*g(f) + 5*p(f).
-f**3 - f - 1
Let g(q) = 4*q**2 - 3*q - 1. Let d(y) = 63*y**2 - 41*y - 15. Let s(o) = -42*o**2 + 27*o + 10. Let h(k) = -5*d(k) - 7*s(k). Give 11*g(i) + 2*h(i).
2*i**2 - i - 1
Let d = -7 + 9. Let i(t) = -4 + 3*t - 2*t + 0*t. Let f(k) = -2. Calculate d*i(m) - 5*f(m).
2*m + 2
Let k(x) = -x + 1. Let r(l) = 5*l - 14. Calculate -6*k(u) - r(u).
u + 8
Let m(x) = -6*x**2 - 3. Let h(a) = -2*a**2 - 1. Suppose -2*i = 24 + 4. Let l = i + 3. Determine l*h(w) + 4*m(w).
-2*w**2 - 1
Let v(y) = y**2 - 1. Let w = -21 - -22. Let j(t) = -t**3 - 5*t**2 - 3*t + 5. Determine w*j(m) + 5*v(m).
-m**3 - 3*m
Let p(r) = 8*r + 3 + 5*r - 4*r - 6. Suppose -q = -2*q + 9. Suppose -s + q = 3*j, s = -s - 3*j + 6. Let v(n) = 5*n - 2. Calculate s*p(c) + 5*v(c).
-2*c - 1
Let u(l) = 0*l**3 - 4*l**3 + 3*l**3 + 2*l**2 + l - 1 - l**2. Let t(k) = 4*k**3 - 6*k**2 - 6*k + 6. Give -t(d) - 6*u(d).
2*d**3
Let n(o) = -5*o**3 - 5*o**2 + 2*o + 2. Let c(d) = -4*d**3 - 6*d**2 + 3*d + 3. Calculate -2*c(b) + 3*n(b).
-7*b**3 - 3*b**2
Let u(t) = 3*t**3 + 3*t - 3. Let i(v) = 12*v**3 + 11*v - 11. Give 6*i(q) - 22*u(q).
6*q**3
Let z(a) = 8*a + 2*a - 4 - a. Let y be ((-20)/(-6))/((-2)/(-3)). Let o(t) = -14*t + 6. Give y*o(s) + 8*z(s).
2*s - 2
Let k(h) be the second derivative of -h + 1/6*h**3 - 1/2*h**2 + 0. Let b = -4 - -6. Let o(f) = 2*f - 3. What is b*o(d) - 6*k(d)?
-2*d
Let m(n) = -3*n**2 - 5*n**2 + 9*n - n**2. Let a(j) = -j**2 - 4*j - 5 + 2*j + 6*j. Let r be a(4). Let p(g) = 5*g**2 - 5*g. Calculate r*p(q) - 3*m(q).
2*q**2 - 2*q
Let i(x) = 14*x**3 + 6*x**2 + 21*x + 11. Let r(j) = -3*j**3 - j**2 - 4*j - 2. What is 2*i(b) + 11*r(b)?
-5*b**3 + b**2 - 2*b
Let r(o) = 7*o**2 - 23*o. Let u(w) = -3*w**2 + 11*w. Give -2*r(j) - 5*u(j).
j**2 - 9*j
Let n(z) = -z**2 - 6*z + 3. Let y(h) = -7 + 2*h + 2*h + h**2 + 5. Give -5*n(r) - 7*y(r).
-2*r**2 + 2*r - 1
Let x(a) be the first derivative of -a**2/2 + 8*a + 22. Let p(r) = -14. Let k(m) = 1. Let y(h) = 12*k(h) + p(h). What is -2*x(u) - 9*y(u)?
2*u + 2
Let d(c) = -c**2 - 2*c + 1. Let m(k) = -2*k**2 - 4*k + 2. What is -10*d(z) + 6*m(z)?
-2*z**2 - 4*z + 2
Let z(q) = 17*q**2 + 5*q - 5. Let h(l) = -144*l**2 - 42*l + 42. What is -5*h(b) - 42*z(b)?
6*b**2
Let z(y) = -85*y + 25. Let w(x) = 10 - 1 - 7 - 6*x - x. Determine -25*w(v) + 2*z(v).
5*v
Let u(y) = -3*y**3 + 9*y**2 - 9. Let l be -1 - 2 - (0 + 1). Let x(q) = -q**3 + 4*q**2 - 4. Determine l*u(d) + 9*x(d).
3*d**3
Let p = 129 + -139. Let b(h) = 6*h**3 + 10*h**2 - 10. Let d(y) = y**2 - 1. What is p*d(j) + b(j)?
6*j**3
Let p(r) = 9*r**2 + 5*r + 1. Let q(i) = 5*i**2 + 3*i + 1. Suppose -3*v - 17 