*c + 1
Let x(z) = -8*z**3 + 6*z**2 + z - 6. Let t(f) = -15*f**3 + 11*f**2 + 2*f - 11. Let a be -10 - (-9)/(9/4). Determine a*t(l) + 11*x(l).
2*l**3 - l
Let b(q) = 1. Let a(r) = -r**2 - 2*r. Suppose 4*d = -0*d - 4. Let u = -2 - d. Let x be -1 + u + -2 + 3. Determine x*a(t) + 2*b(t).
t**2 + 2*t + 2
Let y(b) = 8*b. Let j(m) = 15*m. Determine 3*j(t) - 5*y(t).
5*t
Let z(c) = -2. Let w(h) = 3. Let g(u) = 3*w(u) + 5*z(u). Let q(i) = -i + 3. Let d = 3 - 4. Calculate d*q(k) - 4*g(k).
k + 1
Suppose z = -3*x + 9, 15 = 9*x - 4*x - z. Let o(n) = 4*n - 3. Let l(v) = -5*v + 4. What is x*o(a) + 2*l(a)?
2*a - 1
Let g = 50 + -53. Let d(z) = -z + 1. Let l(s) = 4*s - 1. Determine g*d(f) - l(f).
-f - 2
Let d(x) be the first derivative of -3*x**4/4 + 7*x**3/3 - 2*x**2 + 1. Let i(n) = -10*n**2 + 6*n + 5*n**3 - 13*n**2 + 12*n**2. Give -8*d(j) - 5*i(j).
-j**3 - j**2 + 2*j
Let i(f) = 40*f - 3. Let a(z) = z + 1. Calculate -3*a(j) - i(j).
-43*j
Let p(g) = -g. Let q(l) = -8*l - 5. Give 2*p(f) - q(f).
6*f + 5
Let g(a) = -a - 9 + 2*a - 12*a - 4*a. Let u(c) = -4*c - 2. Determine -2*g(z) + 9*u(z).
-6*z
Let y(n) = -n**2 - 1. Let m(a) = a**2 + 7*a + 5. Let f be m(-4). Let q be f/(-9) + (-16)/(-72). Let z = 0 - -3. Let s(u) = 5*u**2 + 3. Give q*s(h) + z*y(h).
2*h**2
Let c(l) be the third derivative of l**5/30 - 5*l**4/24 + 3*l**3/2 + 5*l**2. Let v(g) = g**2 - 3*g + 6. What is 5*c(u) - 8*v(u)?
2*u**2 - u - 3
Let f(g) = 154*g**2. Let r(u) = 11*u**2. What is -4*f(t) + 55*r(t)?
-11*t**2
Let s(l) = 14*l - 2. Suppose 0 - 12 = 4*w. Suppose -o = 3*o + t + 31, -3*t = -2*o - 19. Let c(f) = -5*f + 1. What is o*c(j) + w*s(j)?
-2*j - 2
Suppose -1 + 5 = -3*s + 4*r, 4*s + 2*r - 24 = 0. Suppose 3*n - 6*n + 6 = 0. Let i(w) = 5*w - 6 + w**3 + 6 - s*w**n. Let h(t) = t**2 - t. Give 4*h(b) + i(b).
b**3 + b
Let q(d) = -2*d**3 - 16*d**2 - d - 3. Let z(c) = 5*c**3 + 33*c**2 + 3*c + 7. Give 7*q(r) + 3*z(r).
r**3 - 13*r**2 + 2*r
Let d(j) = 4*j**2 + 9*j + 17. Let z(s) = -2*s - 4 + 4 - s**2 + 0*s**2 - 4. Suppose -2*v + 2 = -2. Give v*d(t) + 9*z(t).
-t**2 - 2
Let v(l) = l**3 - 6*l**2 + 3*l. Let x(j) = 3*j**3 - 17*j**2 + 9*j. Determine 11*v(o) - 4*x(o).
-o**3 + 2*o**2 - 3*o
Let i(z) = 4*z - 3. Let x(w) = 3*w - 3. Calculate -4*i(o) + 5*x(o).
-o - 3
Suppose 2*n = o + 9, 5*n - 4 - 1 = -o. Let i(m) = -3*m - 1. Let k(h) = 6*h + 3. Give n*k(l) + 5*i(l).
-3*l + 1
Let p(x) = 2*x**2 + 3. Let o(y) = y**2 + y + 3. What is 2*o(h) - 3*p(h)?
-4*h**2 + 2*h - 3
Let g(i) = -5*i + 2. Let o(x) be the second derivative of -1/2*x**2 + 1/6*x**3 + 0 - 4*x. Determine -g(r) - 3*o(r).
2*r + 1
Let b(a) = 5*a - 5. Let p(o) = -15*o + 14. Give 17*b(x) + 6*p(x).
-5*x - 1
Suppose -3*d - 5 = 7. Let u(i) = -8*i**3 - 5*i**2 + 11*i + 6. Let g(p) = -2 + 2*p**2 + 6*p**3 - 6*p**3 + 3*p**3 - 4*p. Determine d*u(o) - 11*g(o).
-o**3 - 2*o**2 - 2
Let l(f) = 2*f**3 - 9*f - 13. Let d(j) = -6 + j**3 - 4*j - 4*j**2 + 7*j**2 - 3*j**2. Calculate -7*d(p) + 3*l(p).
-p**3 + p + 3
Let h(y) = y**3 + y - 1. Let b(m) = 3*m**3 + 4*m - 4. What is 5*b(w) - 20*h(w)?
-5*w**3
Let j(b) = -12*b + 4. Let r(o) = 12*o - 3. Determine 3*j(s) + 4*r(s).
12*s
Let q(k) = 41*k**3 + 9*k**2 - 3*k + 5. Let t(z) = -10*z**3 - 2*z**2 + z - 1. Determine -2*q(b) - 9*t(b).
8*b**3 - 3*b - 1
Let d(n) be the second derivative of -n**3/2 - 9*n**2/2 - 4*n. Let g(y) = -y - 4. Give -4*d(v) + 9*g(v).
3*v
Let d(v) = -v**2 + v - 1. Let k(u) = -4*u**2 + 2*u - 5. Give -5*d(s) + k(s).
s**2 - 3*s
Let q(v) = -v**2 + 3*v + 3. Let d be q(3). Suppose -14 = 5*y - 4, -d*k = -y - 20. Let g(b) = -1. Let n(l) = -2*l - 7. Calculate k*g(z) - n(z).
2*z + 1
Let z(f) = -f**3 + f + 8. Let b(k) be the third derivative of 0 + k**2 - 3/2*k**3 + 0*k - 1/24*k**4 + 1/120*k**6 + 0*k**5. Calculate 6*b(p) + 7*z(p).
-p**3 + p + 2
Let c(b) = b. Let s(l) = -7*l + l + 0*l + 1. Suppose 48 = -4*p + 40. What is p*s(q) - 14*c(q)?
-2*q - 2
Let z(r) = r**3 + 1. Let n(j) = 10*j**3 + 2*j**2 + 2*j - 1. Determine n(v) + z(v).
11*v**3 + 2*v**2 + 2*v
Let q(o) = -5*o**3 - o - 3. Let d(s) = -6*s**3 - s - 4. Suppose 20 = 4*m, 3*f - 9 = -f + 3*m. Give f*d(w) - 7*q(w).
-w**3 + w - 3
Let p(j) be the third derivative of -j**4/24 + 7*j**3/6 - 2*j**2. Let w(f) = -2*f + 15. Suppose 2*d + 0*d - 12 = 0. What is d*w(b) - 13*p(b)?
b - 1
Let h(p) = p**3 - 5*p**2 + 5*p. Let l(j) = j**2 - j. Suppose 2*m = 3*y, 0 = 2*y - 2*m - 2 + 4. Suppose u + 3 - y = 0. Give u*h(a) - 5*l(a).
-a**3
Let j(x) = -x**3 - x**2 + x - 1. Let c(a) = 11*a**3 - 3*a**2 + 3*a - 3. Determine -c(i) + 3*j(i).
-14*i**3
Let q(s) = -s**2 + 2*s + 31. Let a(w) = w**2 - w - 1. What is 2*a(k) + q(k)?
k**2 + 29
Let t = -11 + 8. Let x(o) = -3*o - 4. Let d(j) = 3*j + 3. What is t*x(y) - 4*d(y)?
-3*y
Let n(z) = z**2 - 2*z - 2. Suppose -4*q + p - 42 = 0, -2*q + p = q + 31. Let k(j) = 19*j**2 - 5*j + 11 - 24*j**2 + 15*j. What is q*n(f) - 2*k(f)?
-f**2 + 2*f
Let f(x) = -7*x - 4 + 7*x + x - 3*x. Let u(j) = -j - 2. Calculate 4*f(o) - 9*u(o).
o + 2
Let p(y) = y + 6. Suppose -46 = 3*q + l - 6*l, -4*q - 3 = 5*l. Suppose 2*z - 17 = 1. Suppose 8*a + 6 = z*a. Let o(h) = h + 5. What is a*p(w) + q*o(w)?
-w + 1
Let k(u) = -62*u - 11. Let g(m) = 31*m + 6. Give -7*g(h) - 4*k(h).
31*h + 2
Let g(m) = 17*m + 9. Let l(p) = -607 - 3*p - 6*p + 602. Give -6*g(v) - 11*l(v).
-3*v + 1
Let m(h) = -17*h**2 - 4*h - 9. Suppose 2*y - 8 = l + 3*l, -4 = 2*y. Let a = l - -12. Let c(k) = 0*k + k + 4*k**2 - 3 + 5. Determine a*c(w) + 2*m(w).
2*w**2 + w
Let d(s) = -s - 2. Let p(f) = -1. What is -3*d(g) + 4*p(g)?
3*g + 2
Let w = 9 + -4. Let v(i) = 6*i + 6. Let h(a) = -5*a - 5. Let d = -5 + 7. Suppose 3 = d*z - 5. Give w*h(s) + z*v(s).
-s - 1
Suppose 4*a - 12 = 16. Let w(o) = -13*o**2 + 7. Let n(m) = -4*m**2 + 2. What is a*n(z) - 2*w(z)?
-2*z**2
Suppose -7 + 3 = p. Let w(a) = a**2 - a - 1. Let s(h) = 5*h**2 - 4*h - 5. Give p*s(y) + 18*w(y).
-2*y**2 - 2*y + 2
Let x(q) be the first derivative of -q**3/3 + q**2/2 - q + 5. Let y(d) be the first derivative of x(d). Let j(h) = -3*h + 1. What is -3*j(m) + 4*y(m)?
m + 1
Let b(x) = -3*x + 3. Let a(g) = 20*g - 30*g + 12*g - 3. Determine 5*a(j) + 4*b(j).
-2*j - 3
Let v be ((-4)/12)/(3/45). Let j(f) = f**2 + 9. Let o(p) = -2*p**2 - 14. Calculate v*o(b) - 8*j(b).
2*b**2 - 2
Let m(w) = -4*w**3. Let r(q) = -2*q**3. Let s(u) = u**2 + u - 1. Suppose 20 = -4*t + 4. Let p be s(t). What is p*r(k) - 6*m(k)?
2*k**3
Suppose -20 = -8*p + 13*p. Let x(m) be the first derivative of -m**4/2 + 3*m**3 + 9*m + 2. Let r(z) = z**3 - 4*z**2 - 4. Determine p*x(g) - 9*r(g).
-g**3
Let j(h) = 1. Let z(r) = r. Let s(t) = -t - 1. Let g be (-7 + 1)/((-15)/(-50)). Let l be 10/3*(-24)/g. Let q(x) = l*s(x) + 6*z(x). Calculate 5*j(p) + q(p).
2*p + 1
Let b(t) = 24*t - 1. Let a(q) = q. Determine -2*a(v) - b(v).
-26*v + 1
Let q(y) = -46. Let m(l) = l. What is 2*m(f) + q(f)?
2*f - 46
Let z(r) = -5*r**3 + 4*r**2 - 14*r + 3. Let p(o) = -4*o**3 + 3*o**2 - 13*o + 2. Determine -3*p(h) + 2*z(h).
2*h**3 - h**2 + 11*h
Let c(u) = -112*u - 49. Let i(r) = 7*r + 3. What is -4*c(j) - 63*i(j)?
7*j + 7
Let a(u) = 7*u**3 + 6*u**2 + 7*u + 5. Suppose 0 = -3*w + 5*i - 15, 4*w + 3 = 2*w + i. Let b(f) = 2*f + w - f**2 - 8*f - f**3 - 1 + 5*f. Give -a(n) - 5*b(n).
-2*n**3 - n**2 - 2*n
Let n(u) = -3 + 5*u - 5*u + 0 + 10*u. Let w(j) = j - 1. Let d(k) = -n(k) + 5*w(k). Let y(b) = -b - 1. Give d(h) - 3*y(h).
-2*h + 1
Let g(h) = -4*h**3 - 5*h**2 + 5*h. Let v(i) = i**2 + 10*i + 16. Let z be v(-7). Let t(k) = -20*k**3 - 24*k**2 + 24*k. What is z*t(y) + 24*g(y)?
4*y**3
Let i(u) = -3*u**3 + 4*u**2 - 4*u. Let r(y) = -3*y**2 + 3*y + 6. Let x(q) = q**3 - q**2 + q - 1. Let b(m) = r(m) + 6*x(m). Determine 4*b(w) + 9*i(w).
-3*w**3
Let f(x) = x - 1. Let v(y) be the second derivative of -2*y**3/3 + y**2 - 4*y. Let p be 8/(-20) - 16/10. Give p*v(s) - 6*f(s).
2*s + 2
Let y(s) = -s**2 + 1. Let v(a) = 12*a**2 + 2*a - 4. Give -v(g) - 6*y(g).
-6*g**2 - 2*g - 2
Let q(a) = a**3 + 2*a**2 + 3*a - 2. Let r(x) = -2*x**3 - 7*x**2 - 10*x + 7. Calculate 14*q(k) + 4*r(k).
6*k**3 + 2*k
Let l(r) = -2*r**2 + 6*r + 3. Let d(y) = 2*y**2 - 7*y - 3. Let a(k) = -6*d(k) - 7*l(k). Let w(j) = 4 + 2*j - 2*j - 2*j**2. What is -4*a(x) - 3*w(x)?
-2*x**2
Let l = 4 - 2. Let i(n) = -17*n**2 - 17*n - 17. Let t = -1 - -9. Let w(m) = 4 + 0 + 23*m**2 - t*m**2 + 4*m - 11*m**2. Calculate l*i(a) + 9*w(a).
2*a**2 