 1. What is 5*i(m) - 3*u(m)?
-2*m - 1
Let g(s) = -2*s**3 - 6*s**2 - 3*s. Let y(v) = -7*v**3 - 17*v**2 - 8*v. Let n(r) = 17*g(r) - 6*y(r). Let x(u) = 9*u**3 - 4*u. Determine -4*n(a) + 3*x(a).
-5*a**3
Let l(m) = m - 1. Let x(y) = y. Let p be (-25)/(-9) + 2/9. Suppose -p*n - n = -20. Suppose n*r - 1 = -5*i + r, 2*i = r - 10. Calculate i*x(s) + 2*l(s).
-s - 2
Let v(w) = w + 7. Let n(k) = k + 14. What is -3*n(b) + 5*v(b)?
2*b - 7
Let x(q) = 3*q + 54. Let c(v) = 7*v + 108. Determine -2*c(b) + 5*x(b).
b + 54
Let w(t) = -7*t**3 - 3*t**2 + 11*t. Let j(a) = 3*a**3 + a**2 - 5*a. Give 9*j(n) + 4*w(n).
-n**3 - 3*n**2 - n
Let q(w) = 1 + 2*w + w**2 - 2*w. Let s(i) = i**3 - i**2 + 2*i - 1. Let x = 9 + -4. Let j = x + -6. Give j*s(u) - q(u).
-u**3 - 2*u
Let v(o) = 16*o**2 + 2*o + 2. Let l(b) = -497*b**2 - 63*b - 63. Determine -2*l(p) - 63*v(p).
-14*p**2
Let r(g) = 36*g - 4. Let p(m) = -17*m + 2. What is 5*p(v) + 3*r(v)?
23*v - 2
Let s(v) = -15*v**2 + 21*v + 17. Let l(x) = 7*x**2 - 10*x - 8. What is -13*l(u) - 6*s(u)?
-u**2 + 4*u + 2
Let h(x) = 20*x - 3. Let u(n) = 1. Give h(f) + 3*u(f).
20*f
Suppose 0 = -27*j + 16*j + 33. Let d(a) = -8*a**2 + 2*a + 7. Let k(n) = -4*n**2 + n + 3. What is j*d(l) - 7*k(l)?
4*l**2 - l
Let z(u) = -41*u. Let h(l) = -41*l. What is -6*h(d) + 7*z(d)?
-41*d
Let x(h) = h - 1. Let z = 10 + -22. Let j = z - -13. Let c(a) = -2. Determine j*c(t) - 2*x(t).
-2*t
Let n(x) = -17*x - 8. Let i(d) = -6*d - 3. Let u(v) = -8*i(v) + 3*n(v). Let o(b) = -3*b. Give -4*o(w) + 3*u(w).
3*w
Let z = -14 + 72. Let f(r) = -3*r + 3. Let k be f(-4). Let x be z/(-10) - 3/k. Let a(i) = -4*i + 1. Let d(h) = -3*h + 1. Determine x*d(m) + 5*a(m).
-2*m - 1
Let o(w) = w**2 - 7*w - 2. Let q be o(7). Let j = -1 - q. Let s(i) = -i. Let r(d) = -5*d + 1. Give j*r(a) - 4*s(a).
-a + 1
Let v(p) = p**3 - p**2 + 1. Let t(j) = 12*j**3 - 8*j**2 - 6*j + 8. What is -t(w) + 8*v(w)?
-4*w**3 + 6*w
Let f(x) = -x**2 - x. Let u(j) = 4*j**3 + 8*j**2 + 15*j + 7. Let i(d) = 2*d**3 + 4*d**2 + 8*d + 4. Let b(a) = 7*i(a) - 4*u(a). Give b(q) - 4*f(q).
-2*q**3
Let p(b) = -b**2 - b - 1. Let v = 45 - 46. Let l(n) = -n + 1. What is v*p(i) - l(i)?
i**2 + 2*i
Suppose 4*c + 0 - 8 = 0. Let q(n) = n**3 - 7*n**2 + 2*n + 5. Let u(m) = 3*m**2 - m - 2. Determine c*q(o) + 5*u(o).
2*o**3 + o**2 - o
Let k(n) be the second derivative of n**3/6 + n**2/2 - 13*n. Let w(v) = -3*v - 2. What is -13*k(h) - 6*w(h)?
5*h - 1
Let s(g) = 3*g**3 - 2*g**2 - 5*g - 5. Let c(y) = y**3 + 5 - 3 + 4*y + 3*y**2 - 2*y**2. Let t(h) = h**3 + h. Let x(k) = 2*c(k) - 4*t(k). What is 4*s(r) + 5*x(r)?
2*r**3 + 2*r**2
Let c = 2 - 3. Let v(r) = 3*r + 2. Let a be (-3)/4 - 22/(-8). Let m(h) = h - a + 4 - 2. Determine c*v(y) + 4*m(y).
y - 2
Let q(s) = 8*s**3 + s**2 - 9*s. Let c(w) = 6*w + 12. Let o be c(-3). Let j(l) = -17*l**3 - 2*l**2 + 19*l. What is o*j(a) - 13*q(a)?
-2*a**3 - a**2 + 3*a
Let j(v) = 4*v**3 + 6*v**2 - 6*v - 6. Let b(t) be the third derivative of -3*t**6/40 - 13*t**5/60 + 13*t**4/24 + 13*t**3/6 + 12*t**2. Give -6*b(c) - 13*j(c).
2*c**3
Let d(l) = -2*l + 9. Let f be d(6). Let b(z) = 353*z**2 - 9*z + 12*z - 3 - 350*z**2. Let n(k) = k - 1. Give f*n(i) + b(i).
3*i**2
Let y(l) = l**2 - 4. Let x(o) = o**2 - 5. Determine 5*x(t) - 6*y(t).
-t**2 - 1
Let a(q) = -10*q**2 - 2*q + 4. Let f(i) = 9*i**2 + i - 3. Determine 3*a(b) + 4*f(b).
6*b**2 - 2*b
Let s(d) = 0 + 2 - 2*d - 3*d**2 - 3 + 4*d. Let n(f) = -7*f**2 + 5*f - 2. Determine 2*n(w) - 5*s(w).
w**2 + 1
Let r(q) = -4. Let y(x) = -x + 7. Determine 5*r(l) + 2*y(l).
-2*l - 6
Let k(v) = 11*v**3 - 4. Let d(j) = -11*j**3 + 5. Calculate -4*d(p) - 5*k(p).
-11*p**3
Let g(a) = -3*a**3 + 17*a - 8. Let r be -1 + (-3 - -6)*1. Let k = 7 + -1. Let v(j) = -9*j**2 - j**3 - 3 + k*j + 9*j**r. Determine 4*g(t) - 11*v(t).
-t**3 + 2*t + 1
Let g(t) = 2*t + 1. Let o(m) = -m - 1. Give -6*g(w) - 6*o(w).
-6*w
Let v(n) = -6*n**3 + 4*n**2 - n - 2. Let z(x) = x**3 - x**2 + x + 1. Give -v(l) - 4*z(l).
2*l**3 - 3*l - 2
Let x(f) = 3*f - 11. Let l(u) = u - 4. Let b(p) = -p + 1. Let i be b(-2). Suppose -i*v = 2*w + 49, v + 73 = -0*w - 4*w. Give w*l(r) + 6*x(r).
r + 2
Let u(y) = -34*y. Let x(j) = -67*j. Calculate 5*u(v) - 3*x(v).
31*v
Let f = 1/2 + 1/6. Let y(c) be the first derivative of f*c**3 + 0*c + 3/2*c**2 - 1. Let h(v) = v**2 + 2*v. Give -5*h(u) + 3*y(u).
u**2 - u
Let f(k) = -k**3 + k - 1. Let s(o) = 2*o**3 - 3*o + 4. Suppose -6 = -5*v - 4*m, -3*v = 2*v - m - 11. Suppose 5*a = -v + 7. Calculate a*s(y) + 3*f(y).
-y**3 + 1
Let j(y) = -3 - 9*y + 7*y + 0*y - 3. Let w(r) = r + 3. Determine -2*j(i) - 5*w(i).
-i - 3
Let n(r) = r + 1. Let p(b) = 2*b + 2. Calculate -3*n(a) + 2*p(a).
a + 1
Let d(p) be the first derivative of -p**3/3 + 1. Let l(g) = -3*g**2. Let q(b) = -b**3 + 24*b**2 - 21*b - 55. Let o be q(23). What is o*d(v) + 4*l(v)?
-3*v**2
Let t(j) = -121*j - 7. Let x(i) = 40*i + 2. Calculate -2*t(p) - 7*x(p).
-38*p
Let b(m) = 6*m + 9. Let f(y) = 13*y + 19. Let x(q) = -9*b(q) + 4*f(q). Let r(h) be the first derivative of -3*h**2 - 16*h - 2. What is -5*r(g) + 16*x(g)?
-2*g
Let q(y) = -y + 1. Let o(d) = d**3 - d + 1. Let c be (-8)/(-36) + -1*21/(-27). Calculate c*o(a) - q(a).
a**3
Let w(k) be the third derivative of k**5/30 - 5*k**4/24 - 7*k**3/6 + 23*k**2. Let g(v) = 6*v**2 - 14*v - 20. Determine 6*g(p) - 17*w(p).
2*p**2 + p - 1
Let g(c) = 5*c - 4. Let p(m) = 4*m - 3. Let z(r) = 3*g(r) - 4*p(r). Let o(a) = -2*a**2 - 8*a. Let t = 22 - 16. Determine t*z(i) - o(i).
2*i**2 + 2*i
Let u(b) = 2*b**2 - 18*b. Let m(t) = -t**2 + t. Determine -4*m(h) - u(h).
2*h**2 + 14*h
Let y(a) = 9*a + 8. Suppose 4*h - h = -21. Let c = -13 - -7. Let p(b) = -6*b - 4*b - 7 + 3*b - b. Determine c*y(n) + h*p(n).
2*n + 1
Let s(z) = 1 - 1 - 6*z**2 + 7*z**3. Let g(m) = 13*m**3 - 11*m**2. Suppose -4*r + 4*c = 52, 0 = -4*c - 10 - 10. Let o = 12 + r. Determine o*g(n) + 11*s(n).
-n**3
Let i(d) = -d**3 - d + 1. Let o(v) = -v**3 + 2*v - 3. What is -6*i(r) - 2*o(r)?
8*r**3 + 2*r
Let c(o) = 476*o**3 - 56*o**2 + 56*o + 56. Let w(h) = -25*h**3 + 3*h**2 - 3*h - 3. Give -3*c(x) - 56*w(x).
-28*x**3
Let i(w) = -w**2. Let h(y) = 2*y + 5*y**3 - y - 5*y**2 + y - 2*y**3. Calculate h(a) - 5*i(a).
3*a**3 + 2*a
Let k(y) = y + 1. Let u(h) be the second derivative of -4*h + 0 - 1/2*h**2. Let x(l) = -k(l) + 3*u(l). Let g(q) = q + 5. Determine 6*g(o) + 7*x(o).
-o + 2
Let b(r) = -2*r + 6. Let i(g) = g - 2. Give -4*b(y) - 11*i(y).
-3*y - 2
Let z(w) = 3*w**3 - 2*w**2. Let m(b) be the second derivative of 5*b**5/4 - 17*b**4/12 - 42*b. Determine 6*m(j) - 51*z(j).
-3*j**3
Let m(u) = 7*u**2 - 7*u + 1. Let w(o) = o**2 - o. Let n(g) = m(g) - 5*w(g). Let i(s) = s - 1. Calculate -2*i(q) - n(q).
-2*q**2 + 1
Let c(d) = -2*d - 2. Let z(k) = 8*k**2 - 4 - k**3 + k + 0*k**3 - 3 + 1. Let l be z(8). Let i(h) = 3*h - 2 + 3 - l*h. Calculate c(x) + 3*i(x).
x + 1
Let r be (2/3)/((-12)/(-54)). Let t(d) = -6*d - r*d - 3 + 0*d. Let g(h) = 13*h + 4. Give -5*g(b) - 7*t(b).
-2*b + 1
Let j(x) be the second derivative of 5*x**3/6 - 17*x**2/2 - 2*x. Let w(q) = q - 4. Suppose -4*t = -2*n - 4, -4*n + 2 = t - 4*t. Give n*j(c) - 9*w(c).
c + 2
Let i(b) = -7*b**3 - 5*b**2 - 4*b - 5. Let c(d) = 4*d**3 + 3*d**2 + 2*d + 3. Let u = 25 + -20. Calculate u*c(m) + 3*i(m).
-m**3 - 2*m
Let h = -4 - -8. Suppose -2*v = 2*v - h. Let o(k) = 3*k + 2. Let s(t) = -3*t + 0*t + 2*t - 1. Calculate v*o(q) + 2*s(q).
q
Let z(k) = 11*k - 6. Let f(a) = -10*a - 2. Let g(x) = -9*x - 1. Let y(w) = -4*f(w) + 5*g(w). Determine 7*y(c) + 3*z(c).
-2*c + 3
Let h(i) = 13*i + 13. Let z(j) = -4*j - 4. Let o = 15 - 8. Let u = 7 - 7. Suppose -5*t + a = -9, -a - a + 2 = u. Determine o*z(b) + t*h(b).
-2*b - 2
Let v(w) be the second derivative of -5*w**3/6 - 7*w**2/2 + w. Let u(c) = -6*c - 3. Let g(k) = -6*k - 2. Let x(t) = 5*g(t) - 6*u(t). Calculate -5*v(l) - 4*x(l).
l + 3
Let u(i) = -5*i**2 - 3*i + 13. Let c(v) = -6*v**2 - 4*v + 13. Calculate -4*c(z) + 5*u(z).
-z**2 + z + 13
Let f(j) = 0*j**2 + 3*j**2 + j**2 + 24*j. Let i(r) = r. Give f(l) - 24*i(l).
4*l**2
Let z be -12 + -1 + (0 - 0). Let d = -18 - z. Let o(n) = n. Let v(b) = 7*b + 3. Let l(x) = -3*o(x) + v(x). Let q(k) = -2*k - 1. What is d*q(h) - 2*l(h)?
2*h - 1
Let r = -37 + 33. Let b(n) be the first derivative of -13*n**4/4 - 11*n**3/3 - 9*n - 1. Let a(k) = 6*k**3 + 5*k**2 + 4. Calculate r*b(h) - 