y + 4. What is 63*g(x) + 4*s(x)?
7*x
Let h(d) = -2*d + 1. Let n(a) = 0 + 4*a + 1 - 4. Suppose 0 = -i + 2*i + 7. Determine i*h(t) - 3*n(t).
2*t + 2
Let b(w) = 3*w + 1. Let s(f) = 2*f + 4*f - 4*f. Let x = 50 + -53. What is x*b(a) + 5*s(a)?
a - 3
Let l(g) = g**3 - g - 3. Suppose b + 15 = 5*r, 13 - 3 = 2*b. Let q be (r/(-5))/(2/(-10)). Let f(i) = -4*i**3 + 4*i + 13. Calculate q*f(t) + 18*l(t).
2*t**3 - 2*t - 2
Let a(s) = 5*s - 45 + 50 - 3*s. Let c be ((-12)/(-10))/(2/10). Let f(n) = -2*n - 4. Calculate c*a(q) + 7*f(q).
-2*q + 2
Let w be (-1)/(-5) - (22/10 - -1). Let y(q) = -5*q**3 - 3*q**2 + 3*q - 3. Let j(b) = -65*b**3 - 40*b**2 + 40*b - 40. What is w*j(i) + 40*y(i)?
-5*i**3
Let i(c) = -c**2 + 6*c - 4. Let f(g) = -g + 1. Calculate -5*f(d) - i(d).
d**2 - d - 1
Let u(n) = -n + 1. Suppose 12 = 2*h - 2*x, 4*h = -0*h + 5*x + 24. Let p = 3 + -1. Let l(d) = d + p - 3 + 0. Give h*l(v) + 7*u(v).
-v + 1
Let y(g) be the third derivative of g**4/24 - g**3/2 + g**2. Let x = -50 - -20. Let f be x/(-42) + (-2)/(-7). Let d(j) = 1. Give f*d(p) + y(p).
p - 2
Suppose 2*l - 2*x = 4, -5*x = -4*l + l. Let u(f) = -4*f - 4. Let m(h) = 7*h + 7. Suppose 0 = 4*i + 5*p - 22, 0 = 5*i + 2*p - 13 - 6. Give i*m(w) + l*u(w).
w + 1
Let f(i) = 2*i + 26*i**3 + 2*i**2 + 2 - 11*i**3 - 20*i**3 + 0. Let g(a) = 15*a**3 - 7*a**2 - 7*a - 7. What is -7*f(z) - 2*g(z)?
5*z**3
Let u(j) = -3*j**3 - 4*j**2 - 3*j - 2. Let f(i) = 7*i**3 + 9*i**2 + 7*i + 4. Give -4*f(c) - 9*u(c).
-c**3 - c + 2
Let b(d) = -d - 1. Let x(j) be the second derivative of j**5/40 + j**4/8 + j**3 - 7*j. Let w(n) be the second derivative of x(n). What is -7*b(c) - 2*w(c)?
c + 1
Let g(d) = -3*d - 6. Let c(z) = -6*z - 13. Determine -4*c(f) + 9*g(f).
-3*f - 2
Let j(i) = -7*i**2 + 6*i - 6. Let u(t) = -13*t**2 + 11*t - 11. Let f = -37 - -64. Let q be (-2 - f/3)*1. What is q*j(k) + 6*u(k)?
-k**2
Suppose 2 = p - 4*h, 3*p + 2*h = -2*p - 12. Let v(w) be the second derivative of -w**5/20 - w**3/6 - w. Let s(n) = 2*n**3 - n**2. Give p*s(d) - 2*v(d).
-2*d**3 + 2*d**2 + 2*d
Suppose 10 = b + 4*b. Suppose -3*d = b*k - 7, 1 = 4*d + 2*k - 9. Let v(u) = -u + 1. Let a(f) be the first derivative of f**2 - 4*f + 7. Give d*v(s) + a(s).
-s - 1
Let x(g) = -2*g**3 + 2*g**2 - g - 10. Let t(y) = 3*y**3 - 2*y**2 + 2*y + 11. What is -4*t(h) - 5*x(h)?
-2*h**3 - 2*h**2 - 3*h + 6
Let x(y) = -6*y - 4. Let s(p) = -2*p - 1. Suppose 6*u = 3*u - 3*i + 9, -4*i + 12 = u. Suppose 4 = 3*v - 5*k, -v - 32 = -u*v + 5*k. Calculate v*s(c) + 2*x(c).
2*c - 1
Let x(q) = -7*q**2 - 2*q - 7. Let t(w) = -w**2 - 1. What is -5*t(k) + x(k)?
-2*k**2 - 2*k - 2
Let f be (-24 - (-1 + 2)) + 4. Let n(h) = -5*h**3 - 2*h**2 + 2*h. Let d(z) = 51*z**3 + 21*z**2 - 21*z. What is f*n(m) - 2*d(m)?
3*m**3
Let s(a) be the first derivative of a**2/2 - 1. Let z be (8/4 - -3) + 1. Let m(n) = 2*n. Give z*s(u) - 2*m(u).
2*u
Let s(f) = 4*f - 7. Let h(m) = m - 1. Let t(i) = -i**3 - 4*i**2 + 2*i - 7. Let w be t(-5). Let c(a) = a**2 - 10*a + 10. Let y be c(w). What is y*h(p) + s(p)?
-2*p - 1
Let t(r) = -3*r - 45 + 47 + 4*r. Let l(g) = -g - 2. What is -3*l(y) - 4*t(y)?
-y - 2
Let o(c) = -7*c**2 - 6*c. Let t(h) be the third derivative of -h**5/4 - 13*h**4/24 - 6*h**2. What is -13*o(m) + 6*t(m)?
m**2
Let w(z) = -z. Let l(o) = 6*o + 9. Let h(j) = 12*j + 19. Let i(k) = -6*h(k) + 13*l(k). What is -i(f) - 4*w(f)?
-2*f - 3
Let s(j) = 8*j + 2. Let o(i) = -i. What is 6*o(b) + s(b)?
2*b + 2
Let z(s) = 1. Let p(h) = 2*h**3 + 12. Calculate p(j) - 12*z(j).
2*j**3
Let s(y) = -5*y - 11. Let f(w) be the third derivative of -w**4/8 - w**3 - w**2. Suppose 0 = -7*h + 13 + 15. Determine h*s(u) - 7*f(u).
u - 2
Let z(u) = -u + 3. Let i(m) = 4*m - 14. Let b(y) = -6*i(y) - 28*z(y). Let t(s) = -2*s. Calculate 6*b(x) + 14*t(x).
-4*x
Let c(r) = r - 2. Let q(a) be the third derivative of -a**4/12 + 7*a**3/6 - 2*a**2. Suppose -3*m - 4*i = -25, -3*m - 2*i - 3*i = -26. Give m*c(z) + 2*q(z).
3*z
Let p(x) = 57*x + 18. Let d(i) = -i - 1. What is -18*d(t) - p(t)?
-39*t
Let k(j) = -2*j**2 - 4*j + 1. Let d(m) = -7*m**2 - 11*m + 2. What is -3*d(r) + 8*k(r)?
5*r**2 + r + 2
Let f(g) = -g**2 + 1. Let o(w) = w + 14. Let p be o(-12). Let m(b) = 4*b**2 - 3*b**p + 3 - 3 - 2*b. Calculate -f(l) + m(l).
2*l**2 - 2*l - 1
Let a(g) = 3 + 1 + 1 - 2. Let q(o) = o + 2. Calculate -2*a(t) + 3*q(t).
3*t
Let f(x) = 0*x**2 + 3 - x**2 + 0*x**2 - x**2 + 4*x**3. Let z(b) = b**2 - 1. Calculate -f(c) - 3*z(c).
-4*c**3 - c**2
Let x = -45 + 52. Let w(f) = 6*f. Let n(y) = 9*y. What is x*w(a) - 5*n(a)?
-3*a
Let n = 5 + -3. Suppose -n*w = -0*s + 3*s, -3*s = -2*w + 24. Let t = -20 - -31. Let y(d) = -d**2 + 6. Let l(a) = 2*a**2 - 11. Calculate t*y(v) + w*l(v).
v**2
Let l(t) be the third derivative of 13*t**4/24 - t**3/2 + 7*t**2. Suppose -2*g - f - 10 = -5*f, f = -3*g - 29. Let z(k) = 6*k - 1. What is g*z(w) + 4*l(w)?
-2*w - 3
Let h(p) = -p + 9. Let v(z) = -z. What is h(n) - 2*v(n)?
n + 9
Let z(x) = 2*x**3 - 4*x + 1. Let r(a) = -a**3 - a. What is 4*r(t) + z(t)?
-2*t**3 - 8*t + 1
Let b(u) = u**3 - u**2. Let v(z) = 2*z**3 - 4. Let a(t) = -4*b(t) + v(t). Let h(x) = 4*x**3 - 7*x**2 + 7. Let k = 0 - -4. Give k*h(n) + 7*a(n).
2*n**3
Let a(n) = -7*n**2 + 1. Let h(z) = -3*z**2. Calculate 4*a(p) - 9*h(p).
-p**2 + 4
Let d(b) = -b + 1. Let k(l) = -6*l - 2. What is 4*d(x) + k(x)?
-10*x + 2
Suppose -4*r + 12 = 0, 3*r + 54 = 4*i + 11. Let p(c) = -3*c**3 - i*c - 4*c - 4*c**2 + 0*c**3 + c**2. Let h(t) = t**3 + t**2 + 6*t. What is 17*h(u) + 6*p(u)?
-u**3 - u**2
Let c(j) = 3*j - 2. Let h(p) = 14*p - 11. Determine 22*c(n) - 4*h(n).
10*n
Let o(r) = 4*r**3 + 3. Suppose 3*a + 18 = 3*f, 3*f + 3*a - 5*a = 14. Let b(q) = q**3 + 10 + 16*q**3 - 4*q**3 + q**2. Determine f*b(z) - 7*o(z).
-2*z**3 + 2*z**2 - 1
Let g(a) be the third derivative of 0*a**3 + 6*a**2 + 0 + 1/12*a**4 + 0*a. Let o(w) = 4*w. Calculate 5*g(k) - 2*o(k).
2*k
Let g(m) = -2 + 7*m - 25 - 6 - 18*m. Let b(v) = -16*v - 50. Let q(j) = -5*b(j) + 8*g(j). Let a(r) = -3*r - 5. Determine 11*a(y) - 4*q(y).
-y + 1
Let i(n) = -1. Let v(c) = c**3 + c**2 - 2. Suppose -3 = -w - 3*u, -3*w + u + 9 = -0*u. Suppose -w*z = -6*z + 3. Determine z*v(h) - i(h).
h**3 + h**2 - 1
Let d(k) = -4*k**3 - 3*k**2 + 5*k - 8. Let l(u) = -u**3 - u**2 + u - 1. Give d(a) - 5*l(a).
a**3 + 2*a**2 - 3
Let p(t) = -t**3 + 4*t**2 - t. Let a(o) = -4*o**3 + 16*o**2 - 4*o. Determine 6*a(z) - 22*p(z).
-2*z**3 + 8*z**2 - 2*z
Let f(y) = -5*y**2 + 7*y - 5. Let b(j) = j**3 - 6*j**2 + 8*j - 6. What is -5*b(p) + 6*f(p)?
-5*p**3 + 2*p
Let g(o) = -o**3 + 5*o**2 - 5*o. Let m(i) = -6*i**2 + i. Let b(a) = -7*a**2 + a. Let q(k) = 5*b(k) - 6*m(k). What is -2*g(d) + 10*q(d)?
2*d**3
Let x(i) = 3*i. Let b be x(-1). Let d be 1/b + (-66)/(-9). Let y(a) = 5*a + 6. Let k(u) = 6*u + 7. Calculate d*y(z) - 6*k(z).
-z
Let b(n) = -35*n + 49. Let y(m) = -3*m + 4. Let l(o) = -4*b(o) + 49*y(o). Let c(d) = -4*d + 5*d - 2*d - 19*d. Determine 5*c(z) - 14*l(z).
-2*z
Let v(n) = 3*n**2 - 7*n - 8. Let p(k) = -3*k**2 + 8*k + 9. Calculate -5*p(y) - 6*v(y).
-3*y**2 + 2*y + 3
Let x(r) = -2*r + 6. Let v(t) = -3*t + 11. Let p = 23 - 27. Give p*v(f) + 7*x(f).
-2*f - 2
Let m(d) = -3*d - 14. Let c(g) = -2*g - 13. Give 5*c(r) - 4*m(r).
2*r - 9
Let q(v) = -5*v**3 + 2*v. Let b(j) = -189*j**3 + 77*j. Determine -2*b(g) + 77*q(g).
-7*g**3
Let x(w) = 279*w. Let u(b) = 28*b. Calculate -31*u(g) + 3*x(g).
-31*g
Let v(d) = 5*d - d - 3*d - 1 + 2. Let f(s) = -2*s - 4. Calculate f(y) + 3*v(y).
y - 1
Let w(p) be the second derivative of p**4/12 - 5*p**2/2 - 36*p. Let q(t) = -t**2 + 4. Let o(y) = y**2 + 2. Let a be o(0). Determine a*w(g) + 3*q(g).
-g**2 + 2
Let a(t) = 4*t + 14. Let f(v) = v. What is -a(r) + 2*f(r)?
-2*r - 14
Let t(w) = w**2 - 1. Let k(y) = -4*y + 5. What is -k(x) + t(x)?
x**2 + 4*x - 6
Let w(n) = -n**3 + 2*n**2 - 1. Let o be w(-1). Suppose 5*t + o = 3*t. Let j(u) = -u**2 + 3*u + 4. Let c(x) = -x - 1. Determine t*j(y) - 3*c(y).
y**2 - 1
Let u(v) be the third derivative of -v**5/60 + v**4/12 - v**2. Let m be 3 + -7 - (-2 - 8). Let q(h) = -h**2 + 3*h. Give m*u(a) - 4*q(a).
-2*a**2
Let a(o) = -4*o + 3. Let r(z) = -11*z + 8. Let f(j) = j - 3. Let g = -9 - -9. Let x be f(g). What is x*r(v) + 8*a(v)?
v
Let h(c) = -10*c**2 + 4*c**2 + 64*c**2 + 7*c**2. Let s(o) = -11*o**2. Determine 6*h(z) + 35*s(z).
5*z**2
Let j(h) = 9*h**2 - 