9*f - 1. Let u(g) = 13*g + 2. What is -7*a(r) - 5*u(r)?
-2*r - 3
Let j(i) = -8*i**3 + 5*i**2 + 7*i. Let b(k) = -k**3 + k**2 + k. Calculate -14*b(a) + 2*j(a).
-2*a**3 - 4*a**2
Let x(o) = 16*o**2 + 6*o - 21. Let n(j) = 3*j**2 + j - 4. Suppose -6 = 380*p - 383*p. What is p*x(r) - 11*n(r)?
-r**2 + r + 2
Let x(v) = -v**3 + 17*v**2 + 18*v + 3. Let y be x(18). Let p(q) = 4*q**2 - 3*q + 3. Let s(d) = 7*d**2 - 6*d + 5. Give y*s(a) - 5*p(a).
a**2 - 3*a
Let s(t) = -2*t + 6. Let o(z) = 1. Let r(p) = -6*o(p) + s(p). Let a = -10 - -13. Let m(i) = -i. Determine a*r(j) - 5*m(j).
-j
Let x(t) = -6*t**3 + 7*t**2 + 8*t. Let d = 70 - 56. Let m(r) = -r**3 + r**2 + r. Determine d*m(y) - 2*x(y).
-2*y**3 - 2*y
Let u(k) = -k + 3. Suppose 3 = 4*z - 5. Let i(m) = 3*m - 10. Determine z*i(h) + 7*u(h).
-h + 1
Let u(m) = -26*m**3 + 16*m**2 + 10*m + 16. Let l(c) = 6*c**2 - 6*c**3 - 3*c**2 + 3 + c**3 + 2*c. Let f be (-2)/3*-6*4. What is f*l(v) - 3*u(v)?
-2*v**3 + 2*v
Let q(g) = -4*g**2 + 22*g. Let k(z) = 2*z**2 - 11*z. Give 5*k(j) + 3*q(j).
-2*j**2 + 11*j
Let u(p) = -23*p**3 - 11*p - 26. Let h(i) = 8*i**3 + 4*i + 9. What is 17*h(d) + 6*u(d)?
-2*d**3 + 2*d - 3
Let n(x) = 28*x. Let v(l) = 5*l - 4. Let i(s) = 9*s - 7. Let k(q) = -4*i(q) + 7*v(q). Calculate -24*k(f) - n(f).
-4*f
Let x(a) = 5*a + 3. Let p(h) = -h - 2. Let m(o) = 6*p(o) + 2*x(o). Let g(c) = -13*c + 19. What is -2*g(b) - 7*m(b)?
-2*b + 4
Let p(o) = -3*o**3 - 4*o + 1. Let n(i) be the second derivative of -3*i**5/20 - i**3/2 + i**2/2 + 8*i. What is 4*n(w) - 3*p(w)?
-3*w**3 + 1
Let p(b) = 4*b - 3. Let w(s) = 2*s - 2. Let x be 5/(-2)*(-42)/35. Suppose 5*u = x*y + 9, -2*y - 11 = -5*u - 0*u. Let i = -9 + 4. What is i*w(l) + u*p(l)?
2*l + 1
Let n(w) = 2*w**3 - 7*w - 2. Let x(c) = -c**3 + 4*c + 1. What is -4*n(s) - 7*x(s)?
-s**3 + 1
Let k(b) = -3*b - 5. Let v(z) = 7*z + 24. Let f(t) = 5*t + 16. Let n(j) = 8*f(j) - 5*v(j). Let r(d) = 8*k(d) + 5*n(d). Let y(u) = 1. Determine -r(a) + y(a).
-a + 1
Let v(y) = -3 + 3 - 8*y**3. Let t(a) be the second derivative of 7*a**5/20 - 3*a + 7. What is 6*t(r) + 5*v(r)?
2*r**3
Let x(l) = -4*l**3 - 7*l**2 + 4. Let o(c) = -2*c**3 - 3*c**2 + 2. Give -5*o(f) + 2*x(f).
2*f**3 + f**2 - 2
Let k(q) = 14*q - 6. Let b(s) = -5*s + 2. Give -8*b(g) - 3*k(g).
-2*g + 2
Let r(f) be the third derivative of -f**5/10 - 11*f**4/24 - 4*f**3/3 - f**2. Suppose -3*w + 36 = 3. Let b(y) = -2*y**2 - 4*y - 3. Give w*b(k) - 4*r(k).
2*k**2 - 1
Let b(q) = -23*q**3 + 5*q**2 - 5*q + 5. Let v(y) = 81*y**3 - 18*y**2 + 18*y - 18. Give 18*b(l) + 5*v(l).
-9*l**3
Let f = -40 - -41. Let o(s) = -s. Let d(c) = 3*c - 1. Determine f*d(n) + 4*o(n).
-n - 1
Let o(a) be the first derivative of -3*a**4/2 - 1. Let i(j) = 4*j. Let w be i(-2). Let h be -3 - 1/(2/w). Let b(k) = -k**3. Give h*o(d) - 5*b(d).
-d**3
Let b(w) be the second derivative of -5*w**4/12 - w**3/3 - 3*w**2 - 2*w. Suppose 9 = -9*h + 6*h. Let c(i) = 4*i**2 + i + 5. Calculate h*b(k) - 4*c(k).
-k**2 + 2*k - 2
Suppose -3*c + 26 = c + p, 2*c = 2*p + 8. Let j(b) be the second derivative of b**3/6 - 9*b. Let o(s) = -2*s**2 - 4*s - 1. What is c*j(i) + o(i)?
-2*i**2 + 2*i - 1
Let j(q) = -76*q. Let a(y) = y. Calculate -408*a(v) - 6*j(v).
48*v
Let o(c) = 4*c**3 + 3*c**2 - 3*c + 3. Let i = -22 - -39. Let y(z) = -6*z + 13 - z + i*z**3 + 13*z**2 + 4*z - 10*z. Determine -26*o(a) + 6*y(a).
-2*a**3
Let h(w) = -2*w**2 + 9*w - 7. Let l(y) = -y**2 + 5*y - 4. Let a(b) = -3*h(b) + 5*l(b). Let i(q) = 2*q**2 - 4*q + 1. What is -5*a(z) + 3*i(z)?
z**2 - 2*z - 2
Let a(n) be the first derivative of -n**2/2 - n + 24. Let b(l) = 8*l + 10. Determine -6*a(k) - b(k).
-2*k - 4
Let t(g) = -3*g**2 - 4. Let c(o) = -24*o**2 - 33. Suppose 3*r + 4*j + 0*j + 8 = 0, 4 = -3*r - 2*j. Suppose -4*m = -r*m - 16. Determine m*c(d) - 33*t(d).
3*d**2
Let f(v) be the first derivative of v**4/4 + 7*v**3/3 + 7*v - 6. Let a(b) = -b**2 - 1. Suppose -2*t + 1 = -2*l + 7, -2*t = -l + 1. Give t*f(u) + 14*a(u).
2*u**3
Let m(l) = 13*l**3 - 3*l. Let o(g) = -13*g**3 + 4*g. What is -3*m(j) - 2*o(j)?
-13*j**3 + j
Let d be (-34)/(-6) + 2/6. Let x(o) = o**3. Suppose 31 - 43 = -12*s. Let c(z) = -8*z**3 + z**2 + z. Determine d*x(f) + s*c(f).
-2*f**3 + f**2 + f
Let y(u) = -5 - 12*u**2 + 41*u**2 - 20*u**2. Let k(i) = -3*i**2 + 2. Calculate -11*k(r) - 4*y(r).
-3*r**2 - 2
Suppose 2*f + 4 = 12. Let m(k) = 5*k**3 - 4*k**2 + 6*k. Let x(q) = 4*q**3 - 3*q**2 + 5*q. Give f*x(z) - 3*m(z).
z**3 + 2*z
Let z(w) = -23*w - 2. Let c(q) = -92*q - 9. Give -2*c(l) + 9*z(l).
-23*l
Let n(m) = -3*m - 16 - 2*m - 4*m**2 + 10. Let c be (-2)/(-8) + 21/(-4). Let d(a) = 3*a**2 + 4*a + 5. Determine c*n(x) - 6*d(x).
2*x**2 + x
Let u(y) = 1 + 3*y - 22*y**2 + 6*y**2 - 3 + 11*y**2. Let j(m) = -m**2 + m - 1. Calculate 2*j(v) - u(v).
3*v**2 - v
Let l(t) = 4. Let h(k) = k + 1. What is -2*h(p) + l(p)?
-2*p + 2
Let a = -3 - -3. Let n(t) be the third derivative of 1/2*t**3 + t**2 + 0 + a*t - 1/8*t**4. Let k(j) = 4*j - 4. Give -5*k(g) - 6*n(g).
-2*g + 2
Let t(j) = -30*j**3 + 35*j**2 - 35*j - 35. Let i(q) = -5*q**3 + 6*q**2 - 6*q - 6. What is 35*i(l) - 6*t(l)?
5*l**3
Let j(p) = 5*p**2 - 2. Let v(x) = -11*x**2 - x + 4. Calculate 5*j(z) + 2*v(z).
3*z**2 - 2*z - 2
Let x(n) = -n + 1 - n - 6*n + 4*n. Let i(u) = u**3 - 9*u**2 + 8*u + 4. Let f be i(8). Let p(r) = -9*r + 5 + 1 - f. Determine 6*p(v) - 14*x(v).
2*v - 2
Let l = -37 + 33. Let k(s) = 9*s - 4. Let r(b) = -125*b + 55. Determine l*r(m) - 55*k(m).
5*m
Let f(i) be the first derivative of i**3/3 + i - 24. Let k(r) = 5*r**2 + 2. Give -2*f(x) + k(x).
3*x**2
Let j(g) be the third derivative of g**4/12 + g**2. Let o(s) = 6*s - 345 + 345. Give -17*j(b) + 6*o(b).
2*b
Let k(z) = -12*z**2 + 18. Let j(q) = q**2 - 1. Calculate 36*j(f) + 2*k(f).
12*f**2
Let v(s) = -2*s + 1. Let y(r) = -r + 1. Give 3*v(i) - 4*y(i).
-2*i - 1
Let u(a) = 5*a + 1. Let z = -6 + 8. Suppose -3*k - 2*w = 2*k + 49, 5*k + 55 = -5*w. Let c(h) = -2*h - 2*h + 5*h. Determine k*c(j) + z*u(j).
j + 2
Let n(h) = -7*h**2 - 5*h - 1. Let r(p) = -p - 1 - 8*p**2 - 3*p - 2*p. Suppose 0 = 3*u + 2*u - 100. Suppose 0 = -d - 3*d - u. What is d*r(j) + 6*n(j)?
-2*j**2 - 1
Let a(x) be the second derivative of x**4/4 - x**3/3 - x**2 - 7*x. Let k(p) = 5*p**2 - 3*p - 3. Calculate -7*a(y) + 4*k(y).
-y**2 + 2*y + 2
Let r(b) = 4*b + 2. Let y(f) = -f**2 - f. Suppose 4*c = -3*c - 14. What is c*y(d) - r(d)?
2*d**2 - 2*d - 2
Let d(w) = -9*w**2. Let g(n) = 35*n**2. What is 9*d(r) + 2*g(r)?
-11*r**2
Let i(w) = 3*w - 2. Let q(v) = -4*v - 8 + 1 + 10. Give -7*i(u) - 5*q(u).
-u - 1
Let p(w) = -1 + w**2 + 0 - w + 0. Let g(j) be the second derivative of 1/2*j**4 + 0 - 2/3*j**3 - 2*j**2 + 4*j. Give -g(v) + 4*p(v).
-2*v**2
Let b(r) = -2*r + 10. Suppose 0 = 3*q - 2*k - 9, 0*k = -3*q - 3*k + 9. Let h(g) = g - 10. Let x(y) = q*h(y) + 2*b(y). Let u(v) = 2. Calculate -11*u(c) - 2*x(c).
2*c - 2
Let z(b) = -b. Suppose 3*d + k - 26 = -3*k, 2*d + 3*k - 19 = 0. Suppose -3*p + p = -d. Let a(g) = g**3 + 2*g**2 + 5*g. What is p*a(m) + 5*z(m)?
m**3 + 2*m**2
Let a(q) = -24*q + 44. Let v(s) = 5*s - 9. Calculate -3*a(m) - 14*v(m).
2*m - 6
Suppose -2*h = 4*h - 54. Let i(q) = -7*q**2 + 9. Let m(d) = -3*d**2 + 4. Suppose -12 = -2*s + 5*s. Determine h*m(n) + s*i(n).
n**2
Let d(f) = -47*f + 1. Let h(r) = -48*r + 1. Determine 3*d(x) - 2*h(x).
-45*x + 1
Suppose 1 = w + 2. Let k(u) be the third derivative of -u**3/6 + 20*u**2. Suppose -2*j + 12 = -5*j. Let q(s) = s + 2. What is j*k(l) + w*q(l)?
-l + 2
Let q(r) = 7*r**3 + 5*r**2 - 7*r. Let i(p) = p**3 - p. Give 6*i(x) - q(x).
-x**3 - 5*x**2 + x
Let g(h) = 16*h + 5*h**3 + h**2 + 2*h**3 - 17*h. Let t(k) = -20*k**3 - 3*k**2 + 3*k. Calculate -17*g(m) - 6*t(m).
m**3 + m**2 - m
Let q(z) = -2*z**3 - 7*z**2 - z + 7. Let o(x) = -x**3 - x**2 + 1. Give 14*o(c) - 2*q(c).
-10*c**3 + 2*c
Let c(q) = 2*q**3 + 7*q**2 - 7*q - 7. Let p(d) = -d**3 + 4*d + 3 + 0*d**2 - 4*d**2 + 1. Suppose -4*g - 91 = -17*g. Give g*p(s) + 4*c(s).
s**3
Let b(n) = -9675*n. Let l(h) = 82*h. Give 4*b(a) + 473*l(a).
86*a
Let s(h) = 36*h + 54. Let m(l) = -1. Determine -54*m(t) - s(t).
-36*t
Let c(h) = h**3 + h**2 - h. Let j(n) be the second derivative of n**4/6 - n**3/3 - 17*n. What is 2*c(m) - j(m)?
2*m**3
Let k(w) = 7*w + 7. Let c(b) = -14*b - 14. Calculate 4*c(g) + 9*k(g).
7*g + 7
Let a(u) = -2*u**2 - 7*u + 3. Let t(m) = 3*m**