 10 - 3 - 13*j**2 + 2*j**3 + j**3. Calculate 6*m(k) + 39*y(k).
-3*k**3
Let t(n) = n - 6*n**2 + 2*n**2 + 12*n. Let s(p) = p**2 - 3*p. Calculate 9*s(y) + 2*t(y).
y**2 - y
Let j(r) = r**2 + 4*r. Let q(w) be the first derivative of w**5/120 + w**3 - 3. Let b(o) be the third derivative of q(o). Determine 4*b(z) - j(z).
-z**2
Let f(c) = -41*c**3 - 5*c - 5. Let w(u) = 21*u**3 + 3*u + 3. Calculate -3*f(j) - 5*w(j).
18*j**3
Let v(l) = -l**2 - 20*l - 14. Let h be v(-19). Let r(z) = -3*z**3 + 3*z**2 + 5*z - 5. Let i(p) = p**3 - p**2 - 2*p + 2. Calculate h*i(q) + 2*r(q).
-q**3 + q**2
Let a(q) = -2*q**2 + 3*q**3 - 8 + 1 + 6 + 0. Let d(i) = 6*i**3 - 3*i**2 - 2. Calculate -5*a(k) + 3*d(k).
3*k**3 + k**2 - 1
Suppose 2 = 3*d + 2*n - 3, -1 = 3*d + 5*n. Let l(f) = 4*f - d - f + 6. Let b(h) be the second derivative of -h**3/3 - h**2 + 2*h. What is -5*b(p) - 3*l(p)?
p + 1
Let o(i) = -5*i**2 - 5 - i**2 - 6*i + 1 - 8*i**3. Let j(z) be the second derivative of z**5/20 + z**4/12 + z**3/6 + z**2/2 + 33*z. Calculate 6*j(v) + o(v).
-2*v**3 + 2
Suppose -5*f = -3 - 27. Let q(p) = 7*p. Let n(k) = 3*k. What is f*q(c) - 13*n(c)?
3*c
Let r be 2/6 - 1659/63. Let t(k) = -k**3 + k**2 + 4*k - 3. Let d(b) = 4*b**3 - 4*b**2 - 17*b + 13. Determine r*t(v) - 6*d(v).
2*v**3 - 2*v**2 - 2*v
Let u(w) = -3*w**3 - 2*w. Let i(j) = -4*j**3 - j**2 - 3*j + 1. Suppose -20 = -5*p + p, -p = f - 13. Let o be (-1)/(-2)*(-14 + f). Determine o*u(m) + 2*i(m).
m**3 - 2*m**2 + 2
Let r be (1/(-2))/(2/12). Let v = r - -1. Let h(g) = 3*g**3 + 3*g**2 + 3*g + 2. Let z(u) = -3*u**3 + 4*u**3 + 31 + u**2 + u - 30. Calculate v*z(c) + h(c).
c**3 + c**2 + c
Let o(u) = 2*u**2 + 5. Let c(t) be the third derivative of t**5/10 + 8*t**3/3 - t**2. Let l be 5/2*(-6)/(-5). Suppose l*g + 64 = -g. What is g*o(d) + 5*c(d)?
-2*d**2
Let q(v) = -2*v**2. Let s(k) = -k**2. Let i be -2 - (33/(-27) - 4/(-18)). Give i*q(x) - 2*s(x).
4*x**2
Let x(q) = -10*q + 3. Let t(p) = 9*p - 4. Let i(v) = 5*t(v) + 4*x(v). Let b = 17 - 11. Suppose b = -o + 1. Let j(c) = -4*c + 7. Give o*i(f) - 6*j(f).
-f - 2
Let o(w) = w**2 + w - 2. Let y(k) = -k**2 - k + 2. Let g = -74 - -72. Determine g*o(v) - 3*y(v).
v**2 + v - 2
Let p(n) = n - 9. Let i(t) = t - 8. Determine -3*i(c) + 2*p(c).
-c + 6
Let p(o) = -2 - 2 - o + 5. Let w(s) = -2*s - 10. Let k be w(-7). Suppose -3*g + 0 + 15 = 0, k*g - 28 = f. Let r(n) = -6*n + 10. Give f*p(j) + r(j).
2*j + 2
Let p(f) = 75*f**3 - 6*f**2 + 6*f. Let k(b) = -151*b**3 + 13*b**2 - 13*b. What is 6*k(i) + 13*p(i)?
69*i**3
Suppose 0 = -2*p + 5*p + 6. Let y(q) = -3*q**2 + 3*q - 1. Let j(i) = -4*i**2 + 4*i - 1. Suppose -3*g + 1 = 16. Let k = 8 + g. What is k*y(x) + p*j(x)?
-x**2 + x - 1
Let p(d) = -3*d**2 + 2*d + 1. Let n(u) = -10*u**2 + 2*u - 2*u + 3 + 6*u. Determine 2*n(r) - 7*p(r).
r**2 - 2*r - 1
Suppose 2*l + 11 = 23. Let u(a) = 5*a + l + 2*a + 0*a - 5*a. Let g(j) = -4*j - 13. What is 4*g(p) + 9*u(p)?
2*p + 2
Let r(d) = -3*d**2 - 5*d - 7. Let u be 70/12 + 3*(-1)/(-18). Let w(x) = 3*x**2 + 4*x + 6. Calculate u*r(o) + 7*w(o).
3*o**2 - 2*o
Let p(d) = 33*d + 1. Let s(q) = -34*q - 2. What is -3*p(g) - 2*s(g)?
-31*g + 1
Let p(o) = 12*o**2 - 21*o. Let m = -17 - 4. Let l(r) = 3*r**2 - 5*r. Calculate m*l(u) + 5*p(u).
-3*u**2
Let i(r) = 2*r**2 - 13*r - 16. Let j(o) = -o**2 + 7*o + 8. What is 6*i(w) + 11*j(w)?
w**2 - w - 8
Let f(y) = 2*y**3 - y**2 - 18*y - 9. Let w(p) = 3*p**3 - 2*p**2 - 27*p - 13. Determine -7*f(v) + 5*w(v).
v**3 - 3*v**2 - 9*v - 2
Let l(t) = t + 1. Let a(f) = 2*f - 3. Let p(v) = -a(v) - 2*l(v). Let c(r) = -5*r + 2. Suppose 0 = 3*d - 0 - 12. Calculate d*p(h) - 3*c(h).
-h - 2
Let s(m) = m**2 - 17*m + 5. Let u(f) = f**2 - 16*f + 6. Give 6*s(j) - 5*u(j).
j**2 - 22*j
Let y(q) = -3*q**3 - 5*q**2 + 5*q. Let r be -4*(-1)/2*1. Let m(x) = 46*x**r + 0*x**3 - 44*x**2 - 2*x + x**3. Determine -10*m(d) - 4*y(d).
2*d**3
Let b(y) = -y**2. Let n(s) = -3*s**3 + 2*s. Determine -b(h) - n(h).
3*h**3 + h**2 - 2*h
Suppose 4*i + 14 = 46. Let g(n) = 3*n + 11. Let k(t) = -t - 4. Give i*k(v) + 3*g(v).
v + 1
Let u(p) = -p**3 + 4*p**2 + 4. Let q(k) = -k**3 + 5*k**2 + 5. Let t be 6/(-12) - (-6)/(-4). What is t*q(g) + 3*u(g)?
-g**3 + 2*g**2 + 2
Let v(m) = 2*m**3 + 3*m**2 - 4. Let l(o) = -5*o**3 - 8*o**2 + 11. What is 4*l(k) + 11*v(k)?
2*k**3 + k**2
Let f(b) = 2*b**3 - b - 1 - 3*b**3 + 6*b. Let o(y) = 2*y**3 - 11*y + 2. Let k = 8 - 5. Suppose -2*p = -p - k. Determine p*o(v) + 7*f(v).
-v**3 + 2*v - 1
Let c(o) = 9*o - 6. Let z(t) = -t**2 + t - 1. What is c(w) - 6*z(w)?
6*w**2 + 3*w
Let i(z) = z + 1. Let d(t) = -17*t**2 + 3*t + 19*t**2 - 4*t - 2. Give d(m) + 2*i(m).
2*m**2 + m
Suppose d - 42 = 5*r - 2*d, -26 = r - 5*d. Let q be r/(-16)*4*-2. Let s(j) = j**2 + 1. Let i(v) = 4*v**2 - 2*v + 5. Calculate q*s(u) + i(u).
u**2 - 2*u + 2
Let i(n) = -1. Let s(h) be the second derivative of h**6/360 + h**5/24 - h**4/12 - 4*h. Let b(f) be the third derivative of s(f). Calculate -b(j) - 6*i(j).
-2*j + 1
Let v(x) = x**2 - 2*x + 1. Let r(n) = 2*n**2 - n + 1. What is -4*r(j) + 3*v(j)?
-5*j**2 - 2*j - 1
Let k = 13 - 1. Suppose -3*n = -6*n - k. Let j(m) = -3*m**2 - 5*m - 4. Let a(y) = 2*y**2 + 4*y + 3. Give n*a(t) - 3*j(t).
t**2 - t
Suppose 2 = n - 1. Let o = 8 - n. Let a(u) = -9*u**2 - 5*u. Let y(w) = -22*w**2 - 12*w. Give o*y(l) - 12*a(l).
-2*l**2
Let w be 1/4 + 6/8. Let b(u) = -1. Let g(h) = h**3 - 3. Suppose -f = -5*k - 11 - 1, -5*f - 4*k = 27. What is f*b(c) + w*g(c)?
c**3
Let c(q) = -13*q**2 - 13. Suppose g - 5*g + 32 = 0. Suppose -6*i + 14 = -g*i. Let t(a) = -4*a**2 - 4. Let x be ((-4)/6)/(2/(-6)). Calculate i*t(v) + x*c(v).
2*v**2 + 2
Let b(k) = 82*k**2 - 2*k - 2. Let f(j) = -j**2 + 1. What is -b(m) - 4*f(m)?
-78*m**2 + 2*m - 2
Let r(u) be the second derivative of -u**4/6 - 9*u**2/2 + 10*u. Let t(x) = -x**2 - 4. Determine 4*r(a) - 9*t(a).
a**2
Let i(g) = g**3 - g**2 + g - 1. Let a(w) = 20*w**3 - 22*w**2 + 22*w - 22. Give -6*a(b) + 132*i(b).
12*b**3
Let l(j) = -5*j + 0*j - j. Suppose b = -1, 3*t + 0*t = -3*b - 36. Let v(h) = 3*h. Calculate t*v(f) - 6*l(f).
3*f
Let j(y) = -2*y**3 + 5*y**2 + 6. Let b(u) = -u**3 + u**2 + 1. What is 6*b(g) - j(g)?
-4*g**3 + g**2
Let x(f) = -4*f + 6. Let w(c) = -3*c + 4. Let u(n) = -n**3 - 9*n**2 - n - 4. Suppose 44 = -5*p - 1. Let r be u(p). Give r*x(k) - 7*w(k).
k + 2
Let p(d) = d**2 + 7*d. Let b(x) = -2*x. Suppose -3*i + 4*t - 2 = 0, i - 8*t + 6 = -4*t. Let v(k) = 2*k - 3. Let a be v(5). Determine a*b(l) + i*p(l).
2*l**2
Let w(a) = -9*a**3 - 7*a**2 - 7*a - 7. Suppose 0 = -5*h - 4 + 19. Let s(u) = -4*u - 5 + 4 - u**2 - 5*u**3 - h - 3*u**2. Give -7*s(k) + 4*w(k).
-k**3
Let g(k) = -k**2 - 5*k - 2. Let p be g(-3). Let h(f) = -4*f + 1. Let y(q) = 3*q - 1. What is p*h(n) + 5*y(n)?
-n - 1
Let n(k) = k**3 - 3*k**2 + 5*k - 9. Let s(o) = -o**2 + 2*o - 4. Suppose 10 = 5*u - 3*u. Give u*s(h) - 2*n(h).
-2*h**3 + h**2 - 2
Suppose -3*u + 4 = -7*u. Let v(o) be the first derivative of -o**2 - 1. Let r(w) = w. Calculate u*v(m) - r(m).
m
Let c(p) = -3*p**2 - 2*p - 4. Let w(a) = -2 - 15*a**2 - 2*a - 2*a + 14*a**2. Let f(n) = -n**2 - 5*n - 2. Let g(s) = 3*f(s) - 4*w(s). What is 3*c(q) + 7*g(q)?
-2*q**2 + q + 2
Let c(y) = -y + 1. Let i(j) = -22*j + 8. What is 10*c(v) - i(v)?
12*v + 2
Let w(y) = 6*y**2 - 28*y + 23. Let o(n) = 2*n**2 - 9*n + 8. Give -17*o(z) + 6*w(z).
2*z**2 - 15*z + 2
Let k(r) = 38*r**3 - 8*r**2 + 8*r - 8. Let c(q) = -25*q**3 + 5*q**2 - 5*q + 5. Determine 8*c(z) + 5*k(z).
-10*z**3
Suppose 0 = v + 7 - 12. Let k(o) = 7*o**3 + 5*o - 5. Let u(h) = 4*h**3 + 3*h - 3. What is v*u(x) - 3*k(x)?
-x**3
Let l(p) = 14*p - 9. Let v(w) = -45*w + 54. Let a(h) = -9*h + 11. Let r(j) = -24*a(j) + 5*v(j). Determine -5*l(z) - 8*r(z).
2*z - 3
Let r(k) = -k**2 - 1. Suppose -11*m = -12*m - 3. Let b(s) = -6*s**3 - 3*s**2 - 3. What is m*r(i) + b(i)?
-6*i**3
Let c(j) = -81*j**2 + 33*j + 33. Let b(i) = i**3 + 8*i**2 - i - 10. Let z be b(-8). Let v(x) = 5*x**2 - 2*x - 2. Calculate z*c(o) - 33*v(o).
-3*o**2
Let k be 5/2*(8 - 6). Let c = k - 5. Let t = -1 + c. Let m(y) = -y**2 - 5*y. Let v(h) = h. Determine t*m(b) - 5*v(b).
b**2
Let m(o) = 2*o**3 + 1. Suppose 2*j = 13 + 5. Let i(k) = -2*k**2 - 4*k - 6. Let v be i(-1). Let u(a) = 4*a**3 + 2. Calculate j*m(x) + v*u(x).
2*x**3 + 1
Let c(v) = -30*v - 4. Let d(w) = 31*w + 5. Determine -6*c(b) - 5*d(b).
25*b - 1
Let l(