?
56*n**3
Let n(x) = -9*x - 2. Let g(w) = 26*w + 6. Determine -6*g(f) - 17*n(f).
-3*f - 2
Let p(m) = -7*m**3 - 6*m**2 + 4*m - 7. Let u(x) be the first derivative of x**4/4 + x**3/3 - x**2/2 + x - 1. Let y = -318 - -319. Give y*p(b) + 6*u(b).
-b**3 - 2*b - 1
Let d(j) = -2*j**2 - 4*j + 2. Let v(o) be the third derivative of -o**5/15 - 3*o**4/8 + 2*o**3/3 + o**2. Calculate 13*d(x) - 6*v(x).
-2*x**2 + 2*x + 2
Let b be (-42)/(-9) + 2/6. Let w(y) = y + 1. Let n(m) = -2*m**2 - 4*m - 5. Give b*w(h) + n(h).
-2*h**2 + h
Let s(x) = 20*x**2 + 9*x - 5. Let d(u) = -10*u**2 - 4*u + 2. Calculate 5*d(q) + 2*s(q).
-10*q**2 - 2*q
Let n(k) be the first derivative of -k - 4 + 1/2*k**2 - 1/3*k**3. Let y(w) = 6*w**2 - 5*w + 5. What is -10*n(x) - 2*y(x)?
-2*x**2
Let m(t) = -7*t - 2. Let s(f) be the third derivative of 13*f**4/24 + f**3/2 - 9*f**2. Determine 7*m(c) + 4*s(c).
3*c - 2
Let m be 108/14 - 4/(-14). Let h be (-50)/m - 1/(-4). Let n(y) = -y. Let z(k) = -8*k + 5. Let i(a) = a - 1. Let v(u) = -3*i(u) - z(u). What is h*n(d) - v(d)?
d + 2
Let d(v) = 10*v**3 + 12*v**2 + 11. Let t(j) = j**3 + j**2 + 1. Calculate 2*d(b) - 18*t(b).
2*b**3 + 6*b**2 + 4
Let r(f) = -4*f**3 - 2*f + 17 - 9 + 2*f**2 - 8*f**2. Let g(m) = -m**3 - m**2 + 1. Calculate -6*g(w) + r(w).
2*w**3 - 2*w + 2
Let g(v) = v - 1. Let m(k) = -3*k + 5. Give -4*g(f) - m(f).
-f - 1
Let k(x) = 6*x + 6. Let y(v) = -2*v - 2. What is 6*k(o) + 17*y(o)?
2*o + 2
Suppose 2*z + 1 + 3 = 0, 2*f = z + 6. Let c(q) = -q**3 + 2*q**2 - 3*q + 2. Let n be c(f). Let k(r) = -4*r + 4. Let h(i) = -3*i + 3. Calculate n*k(g) + 5*h(g).
g - 1
Let u(l) = -4*l**2 - 10*l + 10. Let i(d) = 9*d**2 + 21*d - 21. Let r(w) = 6*i(w) + 13*u(w). Let j(h) = 6*h**2 - 11*h + 11. Calculate -4*j(k) + 11*r(k).
-2*k**2
Let g(p) = 5*p**2 - 7 - 1 - 1 + 7*p. Let o(z) = 4*z**2 + 6*z - 8. Suppose 7 = -2*y - 5. Let h be y - (-1 + 5 + -4). Give h*g(s) + 7*o(s).
-2*s**2 - 2
Let j(z) = -1. Let c(q) = q**2 + 5*q. What is c(m) + j(m)?
m**2 + 5*m - 1
Let h = -52 + 39. Let j(t) = 11*t**3 + 17*t**2 - 21*t + 13. Let b(m) = -5*m**3 - 8*m**2 + 10*m - 6. Give h*b(v) - 6*j(v).
-v**3 + 2*v**2 - 4*v
Suppose -2*s - 5 - 5 = 0. Let g(w) = -4*w**2 - w. Let a(m) = 13*m**2 + 4*m. Let h(y) = -6*a(y) - 21*g(y). Let u(f) = -5*f**2 + 2*f. What is s*u(k) - 4*h(k)?
k**2 + 2*k
Let k(m) = 6*m**3 + 3*m**2 + 3*m. Suppose -n = -5*s + 42, 2*s + 6 = 4*s + 5*n. Let y(x) = 17*x**3 + 8*x**2 + 8*x. What is s*k(f) - 3*y(f)?
-3*f**3
Let f(v) = v**3 - 6*v**2 + 7*v - 2. Let c be f(5). Let t(q) = 14*q**3 + 11*q**2 - 8*q - 8. Let i(n) = -5*n**3 - 4*n**2 + 3*n + 3. What is c*i(u) + 3*t(u)?
2*u**3 + u**2
Let r(t) = t**3 + t**2 - t. Let w = 188 + -186. Let q(d) = d**3 + 2*d**2 - 2*d. Let l be 1 + ((-4)/(-2) - 4). Determine l*q(z) + w*r(z).
z**3
Let y(n) = 1. Let l(i) be the third derivative of 3/2*i**3 + 0 - 6*i**2 + 0*i - 1/24*i**4. Calculate 2*l(v) - 18*y(v).
-2*v
Let d(h) = -h**2 - 1. Let i(g) = 16*g**2 + 12. Give 12*d(x) + i(x).
4*x**2
Let u(x) = -x**3 - x. Let m(k) = -30*k**3 + 4*k. What is m(a) + 5*u(a)?
-35*a**3 - a
Let c(v) = -v**2 + 1. Let y(u) = 2*u**3 - 5*u**2 - u + 5. Let h be (20/(-30))/((-4)/(-6)). Calculate h*y(k) + 5*c(k).
-2*k**3 + k
Let b(h) = 4*h + 11. Let z(u) = -6*u + 6 + 2 + 8*u - 3. Give 6*b(f) - 13*z(f).
-2*f + 1
Let v(s) = 6*s**2 - 6*s - 6. Let x(k) = -6*k**2 + 7*k + 7. What is -5*v(d) - 4*x(d)?
-6*d**2 + 2*d + 2
Let s(g) = 8*g + 5. Let m(l) = 1. Let d(p) = m(p) + s(p). Let j(t) be the second derivative of -23*t**3/6 - 17*t**2/2 + 33*t. Give -17*d(h) - 6*j(h).
2*h
Let j = -156 - -163. Let h(q) be the first derivative of q**2 + 5*q - 1. Let n(m) = 2*m + 4. What is j*n(p) - 6*h(p)?
2*p - 2
Let z be 0/1 + -1*2. Let g = z + 9. Let b(y) = 4 - 3*y + 4*y**2 - 3*y**2 - 2*y**2. Let m(d) = 2*d**2 + 7*d - 9. Give g*b(i) + 3*m(i).
-i**2 + 1
Let i(u) = 7*u**2 + 3*u - 2. Let f(o) = -3*o - 6*o**2 + 5 - 19 + 6 + 10. Determine -5*f(d) - 4*i(d).
2*d**2 + 3*d - 2
Let u(d) = 2 + 5 - 5*d - 4*d + 4*d. Let q be 22/3 - (-1)/(-3). Let k(j) be the third derivative of j**4/8 - 2*j**3/3 - j**2. Calculate q*k(l) + 4*u(l).
l
Suppose -4*p + 12 = -0*p, 5*d - 19 = 2*p. Let k be 1/((-2)/(-8)) - 1. Let f(n) = 2*n. Let z(x) = -3*x. Calculate d*f(s) + k*z(s).
s
Let f(k) = -1. Let m = -19 + 15. Let b(p) = -3*p + 5. Give m*f(l) - b(l).
3*l - 1
Let t(u) = -u**3 - u**2 - 1. Let p(r) = -9*r**3 - 10*r**2 - 10. Let s(x) = 5*x**3 + 5*x**2 + 5. Let y(j) = 3*p(j) + 5*s(j). Calculate -5*t(z) + y(z).
3*z**3
Let w(x) = x**2 + 1. Let b(c) be the third derivative of -c**4/12 + c**3/6 - 51*c**2. Give b(d) - 2*w(d).
-2*d**2 - 2*d - 1
Let y(a) = a**3 - a**2 + a + 1. Let p(o) = 5*o**3 + o**2 + 2*o + 4. What is p(k) - 2*y(k)?
3*k**3 + 3*k**2 + 2
Let t(z) = -3*z**2 + 9*z + 5. Let m = -1 - -1. Let s(w) = m - 4*w - w + 2*w**2 - 3. Determine 5*s(k) + 3*t(k).
k**2 + 2*k
Let h(t) = t**2 + t - 1. Suppose 0 = -0*m - m - 3*z - 2, 4*m = -2*z + 32. Suppose 5*s = -m - 5. Let q(p) = 2*p**3 + 3*p**2 + 2*p - 3. Give s*h(f) + q(f).
2*f**3 - f
Let r be (-2)/11 + 26/22. Let k(f) = 5*f. Let v(g) = g. Calculate r*k(q) - 4*v(q).
q
Suppose -22 - 18 = -5*t. Let h = t - 2. Let x(r) = -r + 1. Let q(c) = c - 1. What is h*x(v) + 5*q(v)?
-v + 1
Let u(d) = -d**2 - 5*d - 1. Let z(q) = q**3 - 4*q**2 - 14*q - 3. Give -8*u(g) + 3*z(g).
3*g**3 - 4*g**2 - 2*g - 1
Let w(j) = 40*j**3 - 10*j**2 - 10*j + 10. Let t(l) = -l**3 + l**2 + l - 1. Determine 40*t(f) + 4*w(f).
120*f**3
Let k(u) = -5*u + 4. Let l(t) = 4 + 9*t - 1 - 16 + 6. Suppose -3*n = 2*n + 25. What is n*k(r) - 3*l(r)?
-2*r + 1
Let j(c) = c**3 + 7*c**2. Let q(t) = 5*t**3 + 36*t**2. What is 11*j(m) - 2*q(m)?
m**3 + 5*m**2
Let p(b) = -3*b - 53. Let j(f) = -f - 18. Calculate -17*j(x) + 6*p(x).
-x - 12
Let c(u) = u + 1. Suppose 5*y + 14 = -6. Let w = y - -4. Suppose -2*r + 10 = w, 5*j - 2*r + 3*r = -65. Let h(o) = 2*o + 2. What is j*c(i) + 6*h(i)?
-2*i - 2
Let c(x) = -2*x + 3*x**2 - 3 - 2*x**2 + 5*x. Let y(v) = -2*v**2 - 8*v + 8. Suppose i = 2 + 1. Give i*y(w) + 8*c(w).
2*w**2
Let m(s) = s**2 - s - 1. Let w(i) = -3 + 4*i**2 - 51*i - 1 + i**3 + 46*i. Calculate 5*m(p) - w(p).
-p**3 + p**2 - 1
Let y be (-4)/(1/3*-4). Let s(h) = 6 - 2 + 0*h**y + 6*h + 3 - 7*h**3. Let r(q) = -6*q**3 + 5*q + 6. Determine -6*r(z) + 5*s(z).
z**3 - 1
Let t(p) = 4*p**3 - 13*p**2 + 9*p. Let q = -32 - -23. Let r(f) be the third derivative of -f**6/120 + f**5/20 - f**4/12 - 9*f**2. Give q*r(m) - 2*t(m).
m**3 - m**2
Let t(i) = -16*i. Let c(j) = j. Calculate -8*c(w) - t(w).
8*w
Let z(s) = 9*s - 2. Let y(n) = -9*n + 2. What is -6*y(c) - 5*z(c)?
9*c - 2
Let b(g) = -5*g - 3. Suppose 0*j + j - 4 = 0. Let a(s) = -j + s - 5 + 1. Let r be a(5). Let v(y) = 4*y + 2. Give r*v(n) - 2*b(n).
-2*n
Let r(b) = 1242*b**3 - 161*b - 161. Let t(g) = 23*g**3 - 3*g - 3. Calculate 3*r(c) - 161*t(c).
23*c**3
Let j(d) = 10*d**3 + 20*d**2 - 20*d + 20. Let t(m) = m**2 - m + 1. What is -j(i) + 20*t(i)?
-10*i**3
Let g(y) = -2*y**2 - y. Suppose z = 7*z - 24. Let h = 4 - -2. Let t(j) = -2*j - z*j - j + h*j. Give g(d) + t(d).
-2*d**2 - 2*d
Let z(f) = -3*f**2 - 4*f + 4. Let c(j) = -4*j**2 - 5*j + 5. Determine -5*c(l) + 6*z(l).
2*l**2 + l - 1
Let g(q) = 5*q - 2*q + 2*q**2 + 2*q**2 + 6*q**3 + 6 - q. Let b(x) = 11*x**3 + 7*x**2 + 4*x + 11. What is 4*b(f) - 7*g(f)?
2*f**3 + 2*f + 2
Let m(q) = 229*q + 6. Let w(d) = 46*d + 1. Calculate 2*m(j) - 11*w(j).
-48*j + 1
Let a(p) = -17*p**2 + 19*p**2 - 3 + 7*p - 4*p. Let k(i) be the first derivative of i**3 + 5*i**2/2 - 5*i - 1. Calculate 5*a(w) - 3*k(w).
w**2
Let a(j) = 8*j**3 - 5*j**2 - 4*j - 10. Let w(g) = -9*g**3 + 6*g**2 + 5*g + 9. Determine 6*a(x) + 5*w(x).
3*x**3 + x - 15
Let w be (10/15)/((-4)/(-18)). Let j(o) = w*o**3 + 6*o + o + 1 + 6. Let y(l) = -2*l**3 - 5*l - 5. Let v be (6 + -1)*(-3 + 4). Give v*j(h) + 7*y(h).
h**3
Let i(j) = -j**3 + 2*j**2 + 3*j + 5. Let q(v) = 8*v - 67. Let s be q(8). Let a(b) = -16 - 4*b**2 - 7*b - 2*b**2 + 4*b**3 - 3*b. What is s*a(d) - 10*i(d)?
-2*d**3 - 2*d**2 - 2
Let k(o) be the third derivative of -11*o**5/60 - o**4/12 + 5*o**3/6 + 2*o**2 + 21. Let n(g) = 6*g**2 + g - 3. Suppose j + 2*j = 21. What is j*n(q) + 4*k(q)?
-2*q**2 - q - 1
Suppose -7 + 2 = n. Suppose 0*z + 24 = -2*z. Let g(d) = -15*d - 12. Let r(x) = 6*x + 5. Give n*g(o) + z*r(o).
3*o
Suppose -58*b = -63*b - 30. Let i(f) be the third derivative