- 4. What is -u(r) + 4*z(r)?
-r**3
Let g(q) = 7*q**3 - 13*q**2 - 6*q + 21. Let a(m) = 3*m**3 - 6*m**2 - 3*m + 10. Calculate 9*a(n) - 4*g(n).
-n**3 - 2*n**2 - 3*n + 6
Let f(y) = 4*y + y**2 - 2 + 3*y - 2*y. Let r(q) = -q**2 - 4*q + 2. Determine -2*f(m) - 3*r(m).
m**2 + 2*m - 2
Let n(l) = 16*l**2 - 15*l**2 - 2 + 2 - l. Let k(i) = -3*i**2 + 4*i. Determine -k(f) - 4*n(f).
-f**2
Let g = 29 - 25. Suppose 10 = -g*f + 2*s - 2, f - 5*s = -21. Let o(t) = -t - 1. Let m(u) = 3*u + 7. What is f*m(k) - 5*o(k)?
2*k - 2
Let c = 9 - 14. Let w(r) = -5*r**3 + 5*r**2 - 7*r. Let l(s) = 4*s**3 - 4*s**2 + 6*s. Determine c*w(b) - 6*l(b).
b**3 - b**2 - b
Let q(b) = -b. Let a(c) = -13*c. Let t(m) = a(m) - 3*q(m). Let h(o) = -7*o. Calculate 7*h(i) - 5*t(i).
i
Let g(i) = 31*i + 3. Let l(p) = -1. What is g(d) + 5*l(d)?
31*d - 2
Let f(a) = 4*a + 7. Let t(i) = -3*i - 6. Let d(u) = -u**3 - 6*u**2 + u + 1. Let h be d(-6). What is h*t(y) - 4*f(y)?
-y + 2
Let a(l) = -7*l**3 - 26*l**2. Let q(j) = 4*j**3 + 13*j**2. Give -3*a(c) - 5*q(c).
c**3 + 13*c**2
Let z(p) = 9*p + 6. Let f(m) = 13*m + 9. Let g(b) = 5*f(b) - 7*z(b). Let n(y) = -3*y - 4. Suppose 2*i - 15 = -i. Give i*g(s) + 4*n(s).
-2*s - 1
Let k(u) = -3*u + 2. Let a(g) = g. Let x(z) = -4*a(z) + k(z). Let w(s) = s**2 + 8*s + 5. Let b be w(-8). Let y(f) = f. What is b*y(t) + x(t)?
-2*t + 2
Let t be (2*1)/(2/(-9)). Let d = t + 13. Let n(i) = -i + 1. Let l(c) = c - 1. Let m(a) = 2*a**3 - 11*a**2 - 43*a + 27. Let w be m(8). Give d*n(j) + w*l(j).
-j + 1
Let n = -11 - -8. Let i be 8 + (2 + 0)*-2. Let q = i - 11. Let h(v) = -v**2 - 2*v - 3. Let z(x) = 3*x**2 + 5*x + 7. Determine n*z(c) + q*h(c).
-2*c**2 - c
Let r(z) be the second derivative of -7*z**5/20 + 5*z**3/6 + 5*z**2/2 - 23*z. Let u(c) = 3*c**3 - 2*c - 2. Suppose -5*g - 1 = 9. Give g*r(y) - 5*u(y).
-y**3
Let f(o) = 10*o**3 + 9*o**2 - 10*o. Let r(i) = -9*i**3 - 8*i**2 + 9*i. What is 6*f(u) + 7*r(u)?
-3*u**3 - 2*u**2 + 3*u
Let o(c) = 15*c - 13. Suppose 5 = j + 2. Let q be -4*j/12*13. Let r(b) = -5*b + 12. Let z(d) = -3*d + 6. Let t(s) = -4*r(s) + 9*z(s). What is q*t(f) - 6*o(f)?
f
Let a(b) = 2*b - 5. Let r(y) = y - 2. Let x(q) = -2*a(q) + 5*r(q). Let k(m) = 3 + 1 - 3. Suppose 4 = 3*i - 7*i. What is i*k(p) - 2*x(p)?
-2*p - 1
Let k = -329 + 335. Let t(j) = 20*j + 11. Let n(z) = -z + 1. Let i(p) = -4*p - 7. Let w(b) = -i(b) - 3*n(b). Give k*t(s) - 17*w(s).
s - 2
Let w(y) = y**2 - y + 1. Let m(v) = 3*v**2 + v + 11. What is -m(r) + w(r)?
-2*r**2 - 2*r - 10
Let m be 2 - 3/((-6)/4). Suppose -f - 3*f + m = 0. Let w(i) = -i**3 - i**2. Let o(d) = 4*d**3 + 3*d**2. Let t = 92 + -89. Determine f*o(b) + t*w(b).
b**3
Let l be (2 + -1)/(1/5). Let r(m) = -l*m - 4 + 4. Let w(p) = 11 + p - 11. Give r(v) + 4*w(v).
-v
Let g = 3 + -2. Let a(k) = -8*k + 5. Let v(t) = 0 - 3*t + 4*t - 1 + 0*t. Calculate g*a(l) + 5*v(l).
-3*l
Let z(a) = 4*a - 1. Let d(o) = -3*o + 1. Give -3*d(y) - 2*z(y).
y - 1
Suppose 4*o + 5*t - 4 = -21, 0 = 4*o + 4*t + 16. Let r(c) = c - 2*c + 4*c**3 + 0*c**3 - 3. Let q(v) = -5*v**3 + 2*v + 4. Determine o*r(f) - 2*q(f).
-2*f**3 - f + 1
Let c(t) = 2*t - 1. Let l(b) be the first derivative of -1/2*b**2 - 1 + 3*b. Let v(i) = 1. Let x(q) = -3*l(q) + 8*v(q). What is 5*c(p) - 4*x(p)?
-2*p - 1
Let w(d) be the second derivative of d**3/2 + d**2 + 10*d. Let t(l) = l - 1. Calculate t(n) - w(n).
-2*n - 3
Let p(t) = t**3 - t**2 - t + 1. Let k be -2 - 2 - (6 - 4). Let r = -1 - k. Let d be 7/r - 6/15. Let j(v) = 2*v**3 - 3*v**2 - 2*v + 1. What is d*j(i) - 3*p(i)?
-i**3 + i - 2
Suppose -4*o + 5 - 1 = 0. Let c(a) = -3*a**3 + 2*a**2 + a. Let b be (-2)/(-5) + (-6)/(-10). Let y(s) = s**3 - s**2 - s + 1. What is b*c(u) + o*y(u)?
-2*u**3 + u**2 + 1
Let b = 25 - 53. Let i(g) = -4*g**3 - 14*g**2 - 14*g - 14. Let p(v) = v**3 + 3*v**2 + 3*v + 3. Determine b*p(j) - 6*i(j).
-4*j**3
Let w(u) = 11*u**3 + 9*u**2 + 5. Let t(f) = -6*f**3 - 5*f**2 - 3. Let d(m) = -2*m + 5. Let p be d(0). Determine p*t(o) + 3*w(o).
3*o**3 + 2*o**2
Let w(o) be the second derivative of -o**4/12 + 4*o. Let k(z) = z**2 - z. Let t = 4 + -1. Calculate t*w(l) + k(l).
-2*l**2 - l
Let m(h) = -h**2 + h - 3. Let b = 11 - 17. Let o = b - -1. Let r(p) = p**2 - 2*p + 5. Calculate o*m(d) - 3*r(d).
2*d**2 + d
Let q(x) be the third derivative of -x**4/24 + x**3/6 - 18*x**2. Let k(r) = 1 - 7 + 4*r + 2. Let u = -2 + 3. Determine u*k(l) + 3*q(l).
l - 1
Let t(i) = 13*i + 10. Let j(r) = 9*r + 7. Let k(h) = -h. Let x be k(-2). Suppose 0 = a + x*a + 21. What is a*j(n) + 5*t(n)?
2*n + 1
Let y(o) = -5*o**3 + 2*o**2 + 2*o. Let l(b) = b + 1. Determine -2*l(z) + y(z).
-5*z**3 + 2*z**2 - 2
Let p(r) = -2*r**3 + 2*r**2 + 2*r + 3. Let o = 31 + -22. Suppose 4 = -d + o. Let c(y) = 5*y - d*y**3 - y**2 + 2*y + 6*y**2 + 8 - y. Give 3*c(j) - 8*p(j).
j**3 - j**2 + 2*j
Let m(w) = 2*w**3 + 2*w**2 + 5*w. Let a(y) be the third derivative of -y**6/40 - y**5/30 - y**4/4 - 7*y**2. Calculate -3*a(n) - 4*m(n).
n**3 - 2*n**2 - 2*n
Let y be 15/(-2)*8/(-12). Let o(r) = -7*r**3 + 7*r - 8. Let m(j) = 6*j**3 - 6*j + 7. Determine y*o(u) + 6*m(u).
u**3 - u + 2
Let a(n) = -3*n + 1. Let j(f) = 6*f - 3. Give 7*a(i) + 3*j(i).
-3*i - 2
Let k(s) = s**2 - 5*s - 5. Let f(p) = p**2 - 6*p - 6. Suppose 0 = -c - c + 3*q, 0 = -2*c - 2*q + 20. Give c*k(i) - 5*f(i).
i**2
Let b(i) = 2*i**3 + i**2 + 5*i + 4. Let r(f) = f**3 + f + 1. Suppose -2*p = -7*p. Let c be 1 + (p/(-2) - 0). Calculate c*b(a) - 4*r(a).
-2*a**3 + a**2 + a
Let p(j) = 3*j**2 + 7. Let b(o) = -13*o**2 - 28. What is 2*b(c) + 9*p(c)?
c**2 + 7
Let w(i) = -266*i**2 - 57*i + 57. Let m(a) = -19*a**2 - 4*a + 4. What is -57*m(q) + 4*w(q)?
19*q**2
Let t be (-2)/(-4 + (1 - -2)). Suppose t - 26 = -s. Let a(w) = w**2 - 8*w - 8. Let g(i) = i + 1. Determine s*g(y) + 3*a(y).
3*y**2
Let s(x) = -x**3 - 2*x**2 - 2. Let m(r) = -2*r**3 - 2*r**2 + r - 3. Suppose 0 = -5*n - 3*v + 8*v + 25, -n + 2*v = -7. Give n*s(h) - 2*m(h).
h**3 - 2*h**2 - 2*h
Let u(l) = 3*l - 2. Let w(n) = -2*n + 2. Determine -3*u(d) - 4*w(d).
-d - 2
Let o(n) = -8*n**3 - 2*n - 2. Let u(i) = -33*i**3 - 9*i - 9. Calculate 18*o(p) - 4*u(p).
-12*p**3
Let v be 3/(((-18)/(-16))/((-33)/(-44))). Let d(u) = -2*u**2 - 5*u. Let s(i) = -2*i**2 - 6*i. What is v*s(r) - 3*d(r)?
2*r**2 + 3*r
Let v(q) = -6*q**3 + q**2 + 1. Let m(k) = k**3 - k**2 - 1. What is m(y) + v(y)?
-5*y**3
Let p(a) = -a - 5. Let f = 3 + 1. Let j(x) = 14 + 8*x - f*x - x. Determine -4*j(c) - 11*p(c).
-c - 1
Let t(p) = p + 4*p - 5*p**2 + 0 + 3 + 0. Let x(r) = 9*r**2 - 9*r - 5. Give -5*t(v) - 3*x(v).
-2*v**2 + 2*v
Let t(c) = -8*c**3 - 4*c**2 - 2. Let d(w) = 15*w**3 + 7*w**2 + 3. Give 3*d(l) + 5*t(l).
5*l**3 + l**2 - 1
Let k(d) be the first derivative of d**3/3 + 3. Let i(g) = 8*g**2 + g + 1. Suppose 2*b - 4*b + x - 4 = 0, -2*b + 3*x = 4. What is b*i(l) + 18*k(l)?
2*l**2 - 2*l - 2
Let n(u) = 2*u + 36. Let x(q) = -q. Give n(l) + 3*x(l).
-l + 36
Let y(k) = 6*k + 14. Let h(u) = -2*u - 5. Suppose -5 = 4*n - 13. Let r(g) = g**2 + g - 1. Let b be r(n). What is b*y(x) + 14*h(x)?
2*x
Let l(u) = -3*u - 2. Let q(c) = -1 - 5 + 2 - 7 - 8*c. Let z(j) = -4*j - 6. Let h(k) = 3*q(k) - 5*z(k). Calculate -2*h(n) + 3*l(n).
-n
Let h(y) = -45*y - 19. Let c(o) = -22*o - 9. Calculate 13*c(p) - 6*h(p).
-16*p - 3
Let a(p) = 8*p + 6. Suppose z = 2 - 7. Let r(w) = -24*w**3 - w - 1. Let c be r(-1). Let i(y) = c*y + 6 - 1 - 17*y. Determine z*a(f) + 6*i(f).
2*f
Let y(f) = 4*f**3 + 6*f**2 - 3*f - 3. Let w(j) = j**3 + 15*j**2 - 4*j - 9. Let d(z) = -8*z**2 + 2*z + 5. Let r(m) = -5*d(m) - 3*w(m). Give -3*r(k) - 2*y(k).
k**3 + 3*k**2
Let c(v) = 3*v**3 + 8*v**2 - 8*v + 8. Let y(t) = 1 - 5*t**2 + 0*t - t - 6 + 6*t - 2*t**3. Determine -5*c(u) - 8*y(u).
u**3
Let b(w) = -9*w + 10. Let n(z) = -3*z + 7 - 9*z + 6*z. Calculate 5*b(k) - 7*n(k).
-3*k + 1
Let x(y) = 2 - 5 + 4. Let d(n) = -2*n - 4. Calculate -d(v) - 5*x(v).
2*v - 1
Let p(v) be the third derivative of v**4/6 + v**3/6 - 2*v**2. Let r(t) = -11*t - 4. Let g(o) = -10*o - 4. Let z(q) = -6*g(q) + 7*r(q). Give -9*p(l) - 2*z(l).
-2*l - 1
Let x(d) = -d + 1. Let l(g) = -10*g**3 + 2*g + 5. What is l(i) - 5*x(i)?
-10*i**3 + 7*i
Let x(k) = -14*k + 8. Let f(p) = 5*p - 3. Let s(g) = -4*g - 20. Let l(m) = 2*m + 10. Let a(i) = -5*l(i) - 3*s(i). Let o be a(-7). Determine o*x(t) - 11*f(t).
t + 1
Let r(k) = -k - 2. Let a(j) = -3. Calculate