?
-t - 1
Let t(o) be the first derivative of 3*o**4/4 - 9*o**2/2 - o + 39. Let m(a) be the second derivative of a**5/20 - 2*a**3/3 + a. Calculate 5*m(g) - 2*t(g).
-g**3 - 2*g + 2
Let r(t) = 13*t**3 - 9*t**2 + 8. Let f be 1 - (-2)/(-1 - -3). Suppose 5*b - 47 + f = 0. Let h(x) = 3*x**3 - 2*x**2 + 2. Calculate b*h(c) - 2*r(c).
c**3 + 2
Suppose z - 4*u + 9*u - 12 = 0, 3*u = 3. Let n(d) = d**2 + 3. Let b(m) be the second derivative of m**2/2 + 3*m. Determine z*b(g) - 2*n(g).
-2*g**2 + 1
Let m(p) = -13*p - 8. Suppose -3*l + 1 = -5. Let w(r) = 6 + 3*r - 17 + 13. Give l*m(v) + 9*w(v).
v + 2
Let i(a) = -11*a**2 - 4*a - 4. Let c(r) = -12*r**2 - 4*r - 5. Give 4*c(b) - 5*i(b).
7*b**2 + 4*b
Let b(r) be the first derivative of -5/3*r**3 - 1/4*r**4 + 0*r**2 - 6*r - 4. Let p(t) = -t**3 - 4*t**2 - 5. Determine -4*b(v) + 5*p(v).
-v**3 - 1
Suppose -2*s + 2 = -10. Let k(c) = -4*c**2 - 3. Let j(n) = 17*n**2 + 13. Let u = -4 + 4. Let w(l) = l**2 - l + 26. Let p be w(u). Calculate p*k(m) + s*j(m).
-2*m**2
Let l(b) = -6*b**3 + 5*b**2 + 5*b - 5. Let r = -4 + 10. Let x(d) = 7*d**3 - 6*d**2 - 6*d + 6. Give r*l(j) + 5*x(j).
-j**3
Let h(p) = -1. Let x(z) = -9*z - 1. Calculate -3*h(q) - x(q).
9*q + 4
Let k(u) = 14*u**2 + 11*u + 8. Let r = 3 - -2. Suppose r*o + 4 + 16 = 0. Let g(t) = 5*t**2 + 4*t + 3. Calculate o*k(a) + 11*g(a).
-a**2 + 1
Let s(w) = 0*w + 6*w - 9*w + 2. Let h(v) = 10*v - 7. Calculate 6*h(q) + 21*s(q).
-3*q
Let z(v) = -9*v**2 + 8*v - 6. Let x(n) = n**2 - n + 1. Let s(w) = 6*x(w) + z(w). Let o(b) = -b**2 + b. Calculate -6*o(a) + 3*s(a).
-3*a**2
Let r(m) = -2*m**2 + 5*m + 5. Suppose 3*q - 3*x - x + 35 = 0, 20 = 4*x. Let a(l) = 3 - l - l**2 + 2*l + 2*l. Give q*a(p) + 3*r(p).
-p**2
Let v(s) = -3*s**3 - 5*s**2 - 5. Let b(m) = -m**3 - 3*m**2 - 3. What is -5*b(g) + 3*v(g)?
-4*g**3
Let o(t) = -5*t**2 + 21*t. Let j(a) = 14*a**2 - 63*a. Give -6*j(d) - 17*o(d).
d**2 + 21*d
Let r(c) = -12*c - 1. Let y(m) = -m. Let g = -14 - -12. What is g*r(x) + 22*y(x)?
2*x + 2
Let f(q) = q**3 - q**2 - 1. Let i(v) = -7*v**3 + 7*v**2 - 5*v + 5. What is -5*f(g) - i(g)?
2*g**3 - 2*g**2 + 5*g
Let y(g) = -g + 4. Let t be (6/3)/(-1) + -2. Let l be 18/t*4/3. Let m(k) = k - 3. Calculate l*m(d) - 5*y(d).
-d - 2
Let j = -5 + 14. Let g(a) = 5*a**2 - 4*a - 4. Let i(f) = f**2 - f - 1. Suppose -2*c + c = 0. Suppose -t + 6 = -y - c*t, 5*t - 16 = -2*y. Give j*i(o) + y*g(o).
-o**2 - o - 1
Let s(o) = 3 + 3*o**2 + 0*o**2 - 3*o - 4*o**2. Let d be s(-4). Let a(f) = -3 + 4 + 0 - 2. Let v(m) = -m**3 - 5. What is d*v(q) + 5*a(q)?
q**3
Let p(x) = -6*x**2 + 3*x - 6. Let g(b) = -13*b**2 + 7*b - 13. Give 4*g(m) - 9*p(m).
2*m**2 + m + 2
Suppose 2*y - 2*m = 2*m + 66, -4*m = 5*y - 95. Let i = y - 34. Let v(h) = 3*h + 4. Let u(w) = 8*w + 11. Calculate i*v(q) + 4*u(q).
-q
Let a(r) = -3. Let v(q) = -q - 5. Let z(i) = 5*a(i) - 3*v(i). Let h(w) be the first derivative of -w**4/4 + 3*w**2/2 + 221. What is 3*h(x) - 3*z(x)?
-3*x**3
Let z(j) = -34 + 20 + 6*j + 18 - 2*j**2. Let m(o) = 2*o**2 - 7*o - 5. What is -5*m(n) - 6*z(n)?
2*n**2 - n + 1
Let g(j) = 3 - 3*j + 1 + 2*j**2 + 0*j**2 - 1. Let i(q) = -q**2 + q - 1. What is -g(o) - 3*i(o)?
o**2
Let u(h) = 7*h + 7*h + 8 - 8*h. Let w(y) = 13*y + 17. Determine -9*u(x) + 4*w(x).
-2*x - 4
Let d(y) = 4*y. Let u = 9 + -2. Let r = -10 + u. Let q(o) = 17*o + 6. Let l(t) = 35*t + 13. Let j(p) = -6*l(p) + 13*q(p). Determine r*j(h) + 8*d(h).
-h
Let a(c) = -3*c**2 + 8*c + 5. Let q(j) = -j**2 + j + 1. Determine -a(w) + 6*q(w).
-3*w**2 - 2*w + 1
Let j(z) = -4*z + 9. Let x(w) be the second derivative of w**3/2 - 4*w**2 + 5*w + 2. Determine 5*j(d) + 6*x(d).
-2*d - 3
Let x(f) = -8*f - 9. Let d(q) = -20*q - 22. Calculate 5*d(t) - 12*x(t).
-4*t - 2
Let z = 1 - 0. Let c(n) = 4 + 4*n**2 - z + 0*n**2. Let x(j) = -3*j**2 - 2. Let m = 1 + -3. Give m*c(b) - 3*x(b).
b**2
Let q(m) = -6*m**2 - 2*m. Let x(j) = 5*j**2 + 2*j. Calculate 4*q(p) + 5*x(p).
p**2 + 2*p
Suppose -5*z = 3*g - 16, 0 = 2*z - 0*g - 4*g - 22. Let w(o) = -6*o - 16. Let a(l) = -2*l - 5. What is z*w(d) - 16*a(d)?
2*d
Let v(p) = 56*p - 34. Let x(r) = 224*r - 136. Let h(k) = -9*v(k) + 2*x(k). Let z(l) = -5*l + 3. Calculate -6*h(f) + 68*z(f).
-4*f
Let b(g) = -10*g**2 + 4*g - 2. Let w(j) = -9*j**2 + 3*j - 2. Give 3*b(p) - 4*w(p).
6*p**2 + 2
Let j(r) = -1. Let u(i) be the second derivative of i**3/3 - 2*i**2 + i. Let w = -167 - -171. Calculate w*j(g) - u(g).
-2*g
Let i(p) be the first derivative of -p**2/2 - p - 20. Let f(g) = 10*g + 4. Determine -f(h) - 4*i(h).
-6*h
Let p(m) = -m**3 - 11*m**2 + m + 16. Let z be p(-11). Let r(t) = -2*t**3 + 4*t - 2. Let f(s) = -3*s**3 + 6*s - 3. Calculate z*f(o) - 7*r(o).
-o**3 + 2*o - 1
Suppose 4*w = 5*f + 3 - 14, 0 = 3*w + 4*f + 16. Let d(t) = 2*t**3 - 3*t**2 - 3*t. Let y(q) = -3*q**3 + 4*q**2 + 4*q. Determine w*d(v) - 3*y(v).
v**3
Let j(g) = 2. Let s be 5 + -4 - -5 - 4. Let f(i) = 2*i - 19. Determine s*f(v) + 18*j(v).
4*v - 2
Let u(d) = 6*d + 50. Let v(w) = 5*w + 50. What is -4*u(f) + 5*v(f)?
f + 50
Let o(m) = -m**3 - m**2 + m + 1. Let d be o(-2). Let h(j) = -5*j + 6. Let n = 2 - -2. Let u(p) = 4*p - 5. Give d*h(i) + n*u(i).
i - 2
Let a(n) = n**2 - 4*n - 3. Let r be a(-2). Let c(x) = -x + 13. Let y(l) = -3. What is r*y(s) + 2*c(s)?
-2*s - 1
Let l(z) = 2*z**2 + 5*z + 2. Let x(w) = -w**2 - 6*w + 2. Let q(c) = 2*c**2 + 11*c - 3. Let n(j) = -3*q(j) - 5*x(j). Calculate -5*l(m) - 8*n(m).
-2*m**2 - m - 2
Let s(a) = -a - 2. Let t(d) = d + 2. What is -5*s(r) - 6*t(r)?
-r - 2
Suppose 0 = -3*d - 0*d. Let c = d - 7. Let x(g) = -11*g**3 - 2*g**2 + 7*g - 7. Let n(q) = -5*q**3 - q**2 + 3*q - 3. What is c*n(b) + 3*x(b)?
2*b**3 + b**2
Let c(f) = f - 3. Let y(w) be the first derivative of 2*w**2 - 14*w - 1. Let t(h) = h**2 + 9*h - 3. Let n be t(-9). What is n*y(g) + 14*c(g)?
2*g
Let n(o) = -17*o**3 - o**2 + 5. Let f(d) = -26*d**3 - d**2 + 7. Determine 5*f(a) - 7*n(a).
-11*a**3 + 2*a**2
Let b(a) = -2*a**2 + 16*a - 4. Let k(m) = -6*m**2 + 47*m - 11. What is -8*b(t) + 3*k(t)?
-2*t**2 + 13*t - 1
Let s(r) = 13*r**2 - 2*r. Let d(q) = -q**2 + q. Determine -2*d(m) - s(m).
-11*m**2
Let q(m) = m + 3. Let u(t) = -2*t - 7. Suppose -a - 21 = 2*a. Determine a*q(s) - 3*u(s).
-s
Let a(b) = -3*b**3 + 4*b**2 - 3. Let k(x) = x**2 + 1. Determine a(s) + 3*k(s).
-3*s**3 + 7*s**2
Let v(h) = 10*h**2 - 7*h + 1. Let d(s) = 3 + 9*s**2 + 4*s - 2 - 10*s. Give -7*d(n) + 6*v(n).
-3*n**2 - 1
Let a(k) = 14*k + 11. Let p be 4/(-14) + (-32)/(-14). Suppose p*z - 51 = 5*z. Let j(d) = 5*d + 4. Give z*j(t) + 6*a(t).
-t - 2
Let m(u) = -8*u**3 + u**2 - 2*u + 6. Let b(i) = -7*i**3 + i**2 - i + 5. Calculate 6*b(c) - 5*m(c).
-2*c**3 + c**2 + 4*c
Let r(x) = x - 1. Suppose 4*k = -2*k - 36. Let a(z) = -7*z + 3. Give k*r(i) - a(i).
i + 3
Let m(u) = -2*u**3 + 5*u**2 - 21*u + 5. Let g(o) = -o**2 - 1. Give -5*g(t) - m(t).
2*t**3 + 21*t
Let i(j) = 17*j**2 + 15*j + 13. Let s(y) = 8*y**2 + 7*y + 6. Give -6*i(q) + 13*s(q).
2*q**2 + q
Let r(d) = 1. Let h(s) = -2*s + 5. Let p(w) = w**2 + 11*w + 13. Let x be p(-9). Let m = x + 1. Give m*r(v) + h(v).
-2*v + 1
Suppose -h = 5*n - 9, 3*h - 1 - 16 = -5*n. Let x(a) = 2*a**2 + 6*a + 1. Let c(v) = -v**2 - 5*v - 1. What is h*c(s) + 3*x(s)?
2*s**2 - 2*s - 1
Let s(z) = -z**2 + 6*z - 11. Let m be s(5). Let k(t) = 8*t + 5. Let n(y) = 9*y + 6. Calculate m*k(b) + 5*n(b).
-3*b
Let t(a) = -5*a + 8. Let d(w) = 5*w - 7. Let x(f) = -7*d(f) - 6*t(f). Let o(h) = 14*h - 2. Give -3*o(s) - 8*x(s).
-2*s - 2
Let n(u) be the second derivative of 3*u**2 + 5/6*u**3 + 0 + u. Let r(p) = -p + 3. Let w be r(7). Let l(a) = -a - 1. Determine w*n(s) - 22*l(s).
2*s - 2
Let d(m) = 8*m**2 + 6*m + 6. Let x(g) = 9*g**2 + 7*g + 7. What is 7*d(n) - 6*x(n)?
2*n**2
Let t(w) = w. Suppose 3*d - 2*m - 11 = 0, -3*d - m = d. Let u be t(d). Let k(o) = 1 + 2 + o - u - 4. Let z(i) = i. Determine -k(x) + 2*z(x).
x + 2
Let h(l) = l**3 - l - 3. Let u(i) = i**2 + i. What is -h(r) - u(r)?
-r**3 - r**2 + 3
Let s(p) = -p + 1. Let h(j) = 3*j - 8. Let x(z) = -z - 1. Let b(l) = -h(l) + 2*x(l). Suppose -4*f - 33 - 55 = 0. What is f*s(c) + 4*b(c)?
2*c + 2
Let c(p) = 10*p**3 + 11*p**2 + 5. Let k(i) = -2*i**3 - 2*i**2 - 1. Determine -4*c(d) - 22*k(d).
4*d**3 + 2
Let x(t) = -22*t. Let p(u) = -u. What is 4*p(c) + x(c)?
-26*c
Let f(p) = -2*p**2 - 4*p - 7. Let a(z) = 2*z**2 + 3*z + 6. Give -4*a(u) - 3