.
g**3
Let a(g) = 6*g**3 - 6*g**2 - 9*g. Let k(z) = z**3 - z**2. Calculate -a(x) + 4*k(x).
-2*x**3 + 2*x**2 + 9*x
Let s(f) = f**2 + 7 + 0*f - 5*f - f**3 - 1 - f. Let i(c) = -2*c**3 + 2*c**2 - 11*c + 11. Determine 6*i(v) - 11*s(v).
-v**3 + v**2
Let u(m) = 2*m**3 + 4*m**2 - 3*m - 5. Let l(x) be the first derivative of -2/3*x**3 + 5 - 1/4*x**4 + 3*x + x**2. Calculate 5*l(g) + 3*u(g).
g**3 + 2*g**2 + g
Let l be 8/4 + -2 - 1/(-1). Let m(i) = -i. Let g(k) be the third derivative of k**4/8 + k**3/6 - k**2. What is l*g(c) + 4*m(c)?
-c + 1
Let y(s) = 12*s - 10. Let z(g) = 11*g - 9. Calculate 5*y(x) - 6*z(x).
-6*x + 4
Suppose -3*f = a + 6, 9 = -3*f + 5*a - 15. Let t(v) = 5*v**2. Let i(s) = -9*s**2. Give f*i(r) - 5*t(r).
2*r**2
Let d(m) be the second derivative of -7*m**5/20 + 13*m**4/12 - 6*m. Let v(s) = 3*s**3 - 6*s**2. Determine -6*d(w) - 13*v(w).
3*w**3
Let t(l) = 3*l**3 + 2*l**2 - 2*l. Suppose 6 = -z + 3*z. Suppose -y - 3 = z. Let j = -4 - 1. Let g(u) = -4*u**3 - 2*u**2 + 2*u. Give j*g(c) + y*t(c).
2*c**3 - 2*c**2 + 2*c
Let i(r) = -2*r**2 + 54*r + 2. Let k(n) = -6*n**2 + 162*n + 6. Calculate -8*i(l) + 3*k(l).
-2*l**2 + 54*l + 2
Let o(c) = -3*c**2 + 10*c - 3. Let x(z) = 6*z**2 - 20*z + 7. Give 7*o(k) + 3*x(k).
-3*k**2 + 10*k
Let m(w) = w + 3. Let f be (-4)/14 - 20/28. Let h(y) = -1. Determine f*m(q) - 5*h(q).
-q + 2
Let z be 0/(-1 + 0) - -1. Let k(b) = -5*b**3 + 4*b**3 + 2 - z. Let g(a) be the first derivative of -a**4 + 5*a - 5. Calculate g(r) - 5*k(r).
r**3
Let s(h) = h + 1. Let x(i) = 30*i + 3 + 38 - 8. Determine -66*s(m) + 2*x(m).
-6*m
Let a = -18 + 13. Let z(y) be the third derivative of -y**6/120 + y**5/60 - y**4/12 + y**2. Let s(r) = r**3 - r**2 + 2*r. Determine a*z(c) - 6*s(c).
-c**3 + c**2 - 2*c
Let i(g) = -4*g**2 - 3*g + 1. Let a(m) = 5*m**2 + 4*m - 1. Suppose -h = 0, -5*t + 3*h = -2*t + 15. Determine t*a(d) - 6*i(d).
-d**2 - 2*d - 1
Let m(s) = -17*s**3 + 4*s**2 + 4. Let j(i) = 18*i**3 - 5*i**2 - 5. Give 4*j(u) + 5*m(u).
-13*u**3
Let u = 67 + -68. Let z(r) = -r**3 - r**2 - r + 1. Let s(y) = 10*y**3 + 2*y**2 + 4*y - 4. What is u*s(w) - 4*z(w)?
-6*w**3 + 2*w**2
Let t(m) = -m**3 - 5*m**2 + 7. Let p(i) = i**3 + 6*i**2 - 8. Let g = -15 + 20. What is g*p(f) + 6*t(f)?
-f**3 + 2
Let s(x) = 30*x**3 - 4*x - 4. Let j(q) = -q**3 - q - 1. Give -4*j(z) + s(z).
34*z**3
Let b(d) = -4*d - 1. Suppose -4*m - 6 = -4*i + 6, i - 5*m = -5. Let j(n) = -i*n - 3 + 2 - 1. Suppose 0 = y - 6*y + 20. Determine y*b(s) - 3*j(s).
-s + 2
Suppose -i + 34 - 30 = 0. Let o(j) = 5*j - 1. Let z(d) = d. Determine i*z(m) - o(m).
-m + 1
Let h(o) = 5 + 5*o + 1 + 3*o - o. Let g(q) = -6*q - 5. Determine -5*g(j) - 4*h(j).
2*j + 1
Let y(b) = -3*b**2 + 5*b + 3. Let r(n) = n**2 - n - 1. Determine 4*r(j) + y(j).
j**2 + j - 1
Let n be (-4 + 1 + -5)*1. Let j(d) = 2*d**2 - 5*d - 11. Let k(x) = x**2 - 2*x - 4. Calculate n*k(h) + 3*j(h).
-2*h**2 + h - 1
Let y(k) be the second derivative of k**2/2 + 59*k. Let x(l) = 2*l**2 + 6. What is x(c) - 6*y(c)?
2*c**2
Let u(f) = -f**3 - 5*f**2 - 2*f - 7. Let c(g) = -g**3 - 3*g**2 - g - 4. Calculate 5*c(q) - 3*u(q).
-2*q**3 + q + 1
Let d(b) = 4*b**2 + 6. Let m(o) = -7*o**2 - 11. What is -11*d(l) - 6*m(l)?
-2*l**2
Let s(j) = -219*j**2 - 292*j + 292. Let m(o) = o**2 + o - 1. What is 292*m(g) + s(g)?
73*g**2
Let p(g) = -6*g**2 + 4*g + 1. Let x(t) be the first derivative of -5*t**3/3 + 3*t**2/2 + t + 2. Give -3*p(w) + 4*x(w).
-2*w**2 + 1
Let g(r) = r**3 + r + 1. Let d(q) = -3*q**3 - 3*q**2 - q - 1. What is d(a) + 2*g(a)?
-a**3 - 3*a**2 + a + 1
Let o(z) be the second derivative of -3*z**5/20 + z**4/6 - z**2/2 + 3*z. Let b = 139 + -140. Let p(n) = n**2 - 1. Determine b*p(s) + o(s).
-3*s**3 + s**2
Let x(r) = 19*r**2 + 4 - 3*r**2 + 11*r + 7. Let m(o) be the second derivative of o**2 - 3*o + 1/3*o**3 + 1/4*o**4 + 0. Determine 11*m(n) - 2*x(n).
n**2
Suppose -89 + 26 = -3*h. Let q(v) = -3*v**2 - 4. Let u(l) = 129*l**2 + 189. Let a(p) = 13*p**2 + 19. Let o(d) = -21*a(d) + 2*u(d). Determine h*q(t) - 4*o(t).
-3*t**2
Let c(l) = -12*l**3 - l**2 + 4*l. Let g(d) = -d. Give c(y) + 4*g(y).
-12*y**3 - y**2
Let p(j) = -11*j**3 + 2*j**2 - 2. Let u(g) = 11*g**3 - 3*g**2 + 3. What is -3*p(d) - 2*u(d)?
11*d**3
Let c(u) = -4*u + 2. Let j be (2/(-1))/((-2)/(-7)). Let i(l) = 6*l - 3. Determine j*c(s) - 5*i(s).
-2*s + 1
Let k(q) = q**2 - 1. Let b(c) = -3*c**2 + 1. Let g be 6/(-4 + 1) + -2. Let a(y) = -9*y**2 + 4. Let i(h) = g*a(h) + 11*b(h). What is -i(o) + 5*k(o)?
2*o**2
Let f(r) = r**2. Let l(v) = 16*v**2 - v - 1. What is 6*f(p) - l(p)?
-10*p**2 + p + 1
Let a(b) = -5*b**2 + 4*b + 3. Let f(c) = -6*c**2 + 5*c + 4. Suppose -x + 3 + 1 = 0. Give x*f(r) - 5*a(r).
r**2 + 1
Let y(z) = -3*z**2 + 4*z - 2. Let f(n) = 16*n**2 - 21*n + 10. Calculate 2*f(m) + 11*y(m).
-m**2 + 2*m - 2
Let a(g) = -28*g - 2. Let s(b) = 29*b + 2. What is 7*a(p) + 6*s(p)?
-22*p - 2
Let i(f) = 7*f - 2. Let k(o) = -1. What is i(j) - 3*k(j)?
7*j + 1
Let m(t) = 10*t + 6. Let x(v) = 2*v + 1. Let q = 22 - 16. Suppose -4*g - q = -2*g. Give g*m(w) + 16*x(w).
2*w - 2
Let l be (-12)/18 + (-8)/6. Let w = 4 - 2. Suppose -3*x - w*m + 9 = 0, 0 = -x + 4*m + 3. Let f(g) = g + 4. Let k(c) = c + 3. Determine l*f(b) + x*k(b).
b + 1
Let q(a) = -13*a - 11. Let o(c) be the first derivative of c**2/2 + c - 28. Calculate -22*o(l) - 2*q(l).
4*l
Let h(f) = f**3 - 2*f**2 - 2*f + 2. Let l(s) = 5 - 9*s + 4*s**3 - 12*s**2 + 3*s**2 + 4. What is 9*h(a) - 2*l(a)?
a**3
Suppose 0 = 63*u - 64*u - 3. Let d(m) = -3. Let p(n) = 2. Let r(i) = 3*d(i) + 5*p(i). Let t(v) = -v**2 + v + 2. Determine u*r(s) + t(s).
-s**2 + s - 1
Let l(t) = -t + 1. Let k be 0/1 + (-2 - -5). Let r be (k - (-6)/(-3))*-1. Let c(o) = 0 - 3*o + 5 + 1. Determine r*c(n) + 4*l(n).
-n - 2
Let j(f) = -2*f**2 - 3*f. Suppose -14*h = -11*h + 9. Let r(k) = -5*k**2 - 7*k. What is h*r(m) + 7*j(m)?
m**2
Suppose 0 = -5*z + 25. Let s = -1 - 2. Let f(v) = -5*v**2 - 4*v - 4. Let o(g) = -9*g**2 - 7*g - 7. Give s*o(q) + z*f(q).
2*q**2 + q + 1
Let t(b) = -2*b - 2. Let j(h) = 1. Let l(r) = -r**2 + 5*r + 49. Let c be l(10). What is c*t(w) - 3*j(w)?
2*w - 1
Let m(w) = -2*w**3 - w**2 - 2*w + 2. Let k(b) = -b - 1. What is k(o) - m(o)?
2*o**3 + o**2 + o - 3
Let x(o) = -7. Let p(f) = 1. Let j(m) = 6*p(m) + x(m). Let k be -1*(-1)/(-1 + 2). Let h(a) = a**3 - a**2 + 2*a + 5. Calculate k*h(t) + 5*j(t).
t**3 - t**2 + 2*t
Let g(t) = -t**3 - 6*t**2 + 6*t. Let q(s) = -2*s**3 - 11*s**2 + 11*s. Suppose -4*l + 20 = -2*k, -5*k = -l + 6*l - 10. Determine l*q(u) - 7*g(u).
-u**3 - 2*u**2 + 2*u
Let o(q) = q**2 - q - 1. Let y(n) be the third derivative of n**6/120 + 7*n**5/60 - n**4/3 - n**3 + 6*n**2. Give 14*o(h) - 2*y(h).
-2*h**3 + 2*h - 2
Let k(t) = -t**2. Let m(v) = v**2 + 8*v + 13. Let n be m(-4). Let x(o) = -5*o**2 + 2*o + 2. Give n*k(b) + x(b).
-2*b**2 + 2*b + 2
Let t(d) = -d**3 + 6*d**2 + d - 4. Let n be t(6). Let w(c) = 4*c + 1. Let f(v) = -v + 1. Calculate n*f(p) + w(p).
2*p + 3
Let u(o) = 8*o. Let r(z) = 2*z + 2*z - z - 4*z. Calculate -6*r(p) - u(p).
-2*p
Let x(s) be the first derivative of 11*s**2/2 + 4*s + 69. Let r(h) = -10*h - 3. What is 6*r(a) + 5*x(a)?
-5*a + 2
Let m(w) = -w**2 - w. Let d(a) = -9*a**2 - 12*a. Give 5*d(u) - 60*m(u).
15*u**2
Let u(m) = m**3 + 9*m**2 - 6. Let z(t) = -t**3 - 8*t**2 + 5. Determine -5*u(q) - 6*z(q).
q**3 + 3*q**2
Let c(o) = 4*o + 3. Let b = 40 - 37. Let n(v) = -1. What is b*n(z) + c(z)?
4*z
Let v(p) be the second derivative of p**5/20 + p**3/6 - p**2/2 - 11*p. Let r(j) = -6*j**3 + j**2 - 4*j + 4. What is r(i) + 4*v(i)?
-2*i**3 + i**2
Let o(n) = n**3 + 4*n**2 - 2. Let w be o(-4). Let p(f) be the first derivative of -5 - 1/2*f**2 + 2*f. Let h(a) = -a + 1. What is w*h(b) + p(b)?
b
Let h(q) = -8*q**3 - q**2 - 1. Let o(z) = 7*z**3 + z**2 + 1. Let c = -10 - 4. Let m = 8 + c. Determine m*o(g) - 5*h(g).
-2*g**3 - g**2 - 1
Let s(i) = i - 8. Let n(p) = p**2 + 3*p - 16. What is -2*n(f) + 5*s(f)?
-2*f**2 - f - 8
Let a(v) = v. Let w(c) = c. Calculate -4*a(n) - w(n).
-5*n
Let w(u) = 13*u**3 + 5*u**2 + 5*u. Let b(g) = 65*g**3 + 26*g**2 + 26*g. Give -5*b(n) + 26*w(n).
13*n**3
Let t(j) = -3*j**3 + 2*j**2 - 27. Let c(m) = 7*m**3 - 5*m**2 + 53. What is 2*c(d) + 5*t(d)?
-d**3 - 29
Let v(u) = -30*u**3 + 9*u**2 + 9*u. Let r(d) = -d**3 - d**2 - d. What is -9*r(i) - v(i)?
39*i**3
Let h = -14 + 19. Let c(r