.
2*a**2
Let j(p) = -6*p**3 + 23*p**2 + 20. Let q(a) be the second derivative of a**5/10 - 2*a**4/3 - 7*a**2/2 + 5*a + 2. Give -6*j(g) - 17*q(g).
2*g**3 - 2*g**2 - 1
Let h(c) = 19*c + 2. Let w(k) = -77*k - 8. Give 9*h(p) + 2*w(p).
17*p + 2
Let n(d) = 2*d**2 - 7*d + 4. Let y(k) = -3*k**2 + 8*k - 5. Let c(b) = -b**3 - 16*b**2 + 18*b + 22. Let m be c(-17). What is m*n(o) + 4*y(o)?
-2*o**2 - 3*o
Let i(r) = r - 3. Let z(m) = 12 + 13 - m - 25. Determine -i(u) - 2*z(u).
u + 3
Suppose 7*p - 12 = 3*p. Let o(b) = -2 - b + p*b**2 - 2*b**2 + 3*b. Let r(q) = q**2 + 7*q + 5. Let z be r(-6). Let j(n) = -n + 1. Calculate z*o(m) - 2*j(m).
-m**2
Let d(c) = -4*c - 1. Let k(h) = -13*h - 2 + 2*h - 1. Give -17*d(a) + 6*k(a).
2*a - 1
Let w(b) = -1276*b**3 - 203*b**2. Let n(s) = 25*s**3 + 4*s**2. Give -203*n(k) - 4*w(k).
29*k**3
Let f(j) = -1 - 6 + 5*j**2 - 6*j - j**2. Let r(b) = -9*b**2 + 13*b + 15. Let z(l) = l - 3*l + 16 + 0*l + 3*l. Let w be z(-10). What is w*r(y) + 13*f(y)?
-2*y**2 - 1
Let z(q) = -q**3 - 4*q**2 - 7*q + 2. Let v(y) = y**2 + y - 1. Calculate -4*v(t) - z(t).
t**3 + 3*t + 2
Let i(r) = r**3 - 3*r + 5. Let p(y) = 5*y + 11. Let d(b) = -2*b - 5. Let u(h) = -7*d(h) - 3*p(h). Determine 2*i(c) - 5*u(c).
2*c**3 - c
Let s(m) = m**3 + m**2 + 3*m. Let a be ((-11)/2 + 4)*2. Let b(p) = -p**3 - p**2 - 2*p. Calculate a*s(g) - 5*b(g).
2*g**3 + 2*g**2 + g
Let t(p) = p**3 + 2. Let d(c) = -4*c**3 - c**3 - 1 - c**3 + 5*c**3. Give 4*d(r) + 3*t(r).
-r**3 + 2
Let g(l) = -5*l - 2. Let q(n) = 5*n + 2. What is 7*g(r) + 6*q(r)?
-5*r - 2
Let o(j) = j + 1. Let x(f) = f. Let u(l) = 6*l + 5. Let r(b) = u(b) - 4*x(b). Suppose 2 - 6 = -2*d. Let t be ((-3)/2 - 0)*d. Determine t*o(k) + r(k).
-k + 2
Let z(u) = -2*u + 2. Let y(i) = 3*i - 3. Calculate -2*y(g) - 5*z(g).
4*g - 4
Let x(p) = -4*p**3 - 10*p**2 - 3*p + 4. Let s(d) = 7*d**3 + 19*d**2 + 5*d - 7. Calculate 3*s(w) + 5*x(w).
w**3 + 7*w**2 - 1
Let s(v) = 2*v - 9. Let l(j) = 4*j - 18. Calculate 6*l(q) - 13*s(q).
-2*q + 9
Let t(m) = m**2 - 2*m - 1. Let c(o) = -2*o**2 + 28*o + 12. Let p(v) = -v**2 + 9*v + 4. Let w(g) = -2*c(g) + 7*p(g). Determine 7*t(a) + 2*w(a).
a**2 + 1
Let j(u) = 6*u**2 + 17*u - 11. Let w = -7 - -24. Let m = 8 - 15. Let a = m - -13. Let l(g) = -2*g**2 - 6*g + 4. Determine a*j(h) + w*l(h).
2*h**2 + 2
Let o(w) = -31*w**2 - 5*w - 5. Let l(g) = 46*g**2 + 7*g + 7. Calculate 5*l(q) + 7*o(q).
13*q**2
Let x(w) = -2*w - 2 + w + 5 - 4*w. Let j(k) = -2*k + 1. Suppose 5*n + 0*n = 0. Suppose 0 = -n*r + 2*r + 6. What is r*x(u) + 8*j(u)?
-u - 1
Let w(v) = v + 2. Let s(z) = -z**2 - 4*z - 9. Suppose -4 = 4*q - 2*q. Determine q*s(r) - 9*w(r).
2*r**2 - r
Let c(w) = w - 3. Let g(n) = 1 + 1 + 5*n - 11*n + 5*n. Give 2*c(h) + 3*g(h).
-h
Let d(c) = 7. Let z(m) = 2 - 6 + 1. Let g(y) = 2*d(y) + 5*z(y). Let b(a) = 3*a - 12. Determine -b(f) + 12*g(f).
-3*f
Let d(v) = -7*v**2 - 11*v - 46. Let i(n) = 10*n**2 + 16*n + 69. Give -7*d(g) - 5*i(g).
-g**2 - 3*g - 23
Let r(n) = -n**2 + 3*n - 3. Suppose -15 - 3 = 3*t. Let l(w) = 2 + 2*w**2 - 5*w + 2 + 0*w**2 + 1. What is t*l(i) - 10*r(i)?
-2*i**2
Let q(v) = 4*v + 108. Let m be q(-26). Let h(l) = 3*l**2 - 4. Let f(u) = -u**2 + 1. Determine m*f(z) + h(z).
-z**2
Let h(l) = -2 - 7 + 8 + l. Let m(c) = 4*c - 6. Calculate -5*h(x) + m(x).
-x - 1
Suppose 3*s - 5*z - 3 = 14, -5*s + 2*z + 22 = 0. Let c(n) = n**2. Let l(i) be the first derivative of -4/3*i**3 + 1 + 0*i + 0*i**2. What is s*l(p) + 14*c(p)?
-2*p**2
Let x(m) = -m**3 - m - 1. Let q(g) be the first derivative of -5*g**4/4 - 2*g**2 - 4*g - 11. Calculate q(b) - 4*x(b).
-b**3
Let s(t) = -t**2 - 1. Let p(w) = 6*w**2 - 5*w**2 + 5 + 9*w**2 - w**2. What is p(r) + 5*s(r)?
4*r**2
Let m(p) = 2*p**2 - 5*p - 25. Let i(r) = 2*r**2 - 4*r - 25. What is 5*i(l) - 4*m(l)?
2*l**2 - 25
Let x(i) = i - 1. Let n(j) = -6*j + 3. Calculate -n(m) - 5*x(m).
m + 2
Let f be (1/2)/((-4)/(-32)). Let q(j) = -j**3 - j**2 - j. Let m(k) = -3*k**3 - 6*k**2 - 4*k - 1. Give f*q(b) - m(b).
-b**3 + 2*b**2 + 1
Let y(b) = -b - 1. Let f(s) = -3*s - 2. Suppose 0 = -5*h + 4*i - 3, 0 = 2*i + i + 9. Let r be 7/(21/6) + 6. What is h*f(w) + r*y(w)?
w - 2
Let n(o) = 1 + 3 + 1 - 4. Let w be 2/(-5) + 36/15. Let u(l) = -3 - 4 - 2*l + w. Give 5*n(z) + u(z).
-2*z
Let x be 0 + 35 + (-1)/1. Let w(r) = 9*r + 23*r - 9*r. Let o(b) be the second derivative of 2*b**3/3 - 4*b. Determine x*o(v) - 6*w(v).
-2*v
Let l(o) = 19*o**2 + 4. Let q(d) = -266*d**2 - 57. What is 57*l(n) + 4*q(n)?
19*n**2
Let y(p) = -5*p**2 - 3. Let q(a) = 2*a**2 + 2. Give -10*q(l) - 6*y(l).
10*l**2 - 2
Let j(s) = 3*s**2 - 2*s + 14. Let r be (-43)/5 + 2/(-5). Let a be 2/6 - (-75)/r. Let h = 5 + a. Let z(w) = w**2 - w + 5. What is h*j(b) + 8*z(b)?
-b**2 - 2*b - 2
Let t(j) = -2*j**2 - j + 5. Let v(z) = 5*z**2 + 3*z - 11. Calculate 7*t(n) + 3*v(n).
n**2 + 2*n + 2
Let d(a) = 15*a**3 + 5*a**2 + 5*a - 3. Let v(s) be the first derivative of -7*s**4/4 - 2*s**3/3 - s**2 + s - 8. What is -2*d(u) - 5*v(u)?
5*u**3 + 1
Let g(v) = -7*v - 3. Let w(t) = 4*t + 2*t + 4 - 3*t + 5*t. What is -6*g(p) - 5*w(p)?
2*p - 2
Let q(w) = -10*w. Let t(p) = p. Give -q(f) - 15*t(f).
-5*f
Suppose 2*f + 1 + 11 = 0. Let u(l) = 2*l + 9. Let j(o) = -o - 9. Let n(s) = -s - 8. Let w(t) = 4*j(t) - 5*n(t). What is f*u(v) + 14*w(v)?
2*v + 2
Let w(s) = s - 1. Suppose 12 = 4*n + 2*n. Let l(b) = 4*b - 4. What is n*l(k) - 9*w(k)?
-k + 1
Suppose f = -4*f. Suppose 3*i - i = -l + 4, 2*l - 6 = -2*i. Let z(w) = -3*w**l + f*w**2 - 8*w**2 - 13*w. Let u(o) = -5*o**2 - 6*o. Calculate -13*u(p) + 6*z(p).
-p**2
Let f(d) = -4*d - 2. Let k(v) = -5*v - 2. Suppose 0 = 4*o + 5*l + 3, -l = 1 - 2. Give o*k(w) + 3*f(w).
-2*w - 2
Let c(m) = -80*m**3 + 35*m**2 + 35*m - 35. Let t(g) be the third derivative of -3*g**6/40 + g**5/15 + g**4/6 - 2*g**3/3 + 14*g**2. Calculate -4*c(n) + 35*t(n).
5*n**3
Let b(o) = o + 1. Let c(w) = 2*w + 6. Let p(x) = 6*x + 17. Let j(i) = -11*c(i) + 4*p(i). Give b(g) - j(g).
-g - 1
Let g(a) = -a**2. Let q(r) = 3*r**2 + 4*r. Give 2*g(p) + q(p).
p**2 + 4*p
Suppose 4*n - 2*n + 26 = 0. Let u = n - -14. Let k(w) = -3*w**2 - 2*w + 2. Let r(g) = -g**2. Determine u*k(j) - 5*r(j).
2*j**2 - 2*j + 2
Suppose 4*k + 8 + 12 = 0, -5*k = -3*j + 22. Let z(y) = -3*y + 2. Let b(u) = u + 7. Let g be b(-6). Let h(t) = 2 + 0 - g - t. What is j*z(m) + 2*h(m)?
m
Let o(n) = -8*n**3 + 11*n**2 + 8*n + 6. Let y(v) = -8*v**3 + 12*v**2 + 9*v + 7. Give -7*o(w) + 6*y(w).
8*w**3 - 5*w**2 - 2*w
Let c(q) be the third derivative of q**5/20 - q**3/2 - 8*q**2. Let b(m) = -9*m**2 + 8. Give -3*b(u) - 8*c(u).
3*u**2
Let k(i) = i**3 + i**2 - i. Suppose 15 = 4*z - 3*z. Let f = z - 16. Let s(x) = 0*x**3 - 3*x + 0*x**2 + 2 + 4*x**3 + 3*x**2. Determine f*s(l) + 3*k(l).
-l**3 - 2
Let u(w) = w**3 - w**2 + w. Let q(i) = i**3 + i**2 + 10*i + 1. Give q(m) + u(m).
2*m**3 + 11*m + 1
Let q(x) = -3*x. Suppose 0 = -4*r + 36 + 92. Let a = r - 46. Let j = a + 9. Let n(t) = 4*t. Calculate j*n(m) - 6*q(m).
-2*m
Let j(t) = -t**3 - t**2 + t - 1. Let n(r) = -2*r**3 - 3*r**2 + 7*r - 5. Calculate 4*j(w) - n(w).
-2*w**3 - w**2 - 3*w + 1
Let y(d) = 3*d**3 + 2*d**2 - 8*d. Let v(q) = -q**2 + q. Give -6*v(p) - y(p).
-3*p**3 + 4*p**2 + 2*p
Let l(v) = 2*v + 7. Let r(b) = -1. Let a be (-8)/10*(-30)/12. Let k = a - 7. Let i be 8/6 - k/(-15). Calculate i*l(c) + 5*r(c).
2*c + 2
Let y(k) = 2*k - 6. Let b(n) = -n + 2. Let d = 33 + -30. Determine d*y(q) + 8*b(q).
-2*q - 2
Let k = 5 + 2. Let n(w) = 0*w + 6*w**3 - 4*w**2 - 2 + 2*w - w. Let z(o) = 11*o**3 - 5*o**2 + 2*o - 2 - 4 + 3 - 2*o**2. Give k*n(g) - 4*z(g).
-2*g**3 - g - 2
Let y be (-2)/(-6) - 46/(-6). Let c(r) = -5*r**2 + 6*r + 11. Let q(s) = 2*s**2 - s - 8 + 5 - s - 1. Give y*q(j) + 3*c(j).
j**2 + 2*j + 1
Let y(f) = f - 2. Let a be y(-3). Let z(x) = -3*x**2 + 1. Let h(p) = -p**2. Determine a*h(o) + z(o).
2*o**2 + 1
Let s(d) = d + 6. Let o(v) = -v - 7. Give -6*o(f) - 7*s(f).
-f
Suppose 4*u + u = 25. Let o = -8 - -10. Let g(t) = t**o + 2*t - 8*t**2 - 2*t - 5*t + 5. Let r(p) = 3*p**2 + 2*p - 2. Determine u*r(i) + 2*g(i).
i**2
Let b(m) = 15*m - 13. Suppose -3*r + 10 = -2*l, r + 2*l = 3*l + 2. Suppose -24 = -r*j + 2*j. Let a(p) = 7*p - 6. Give j*b(y) - 13*a(y).
-y
Let q(l) = -l**3 + 4*l**2 - 4*l - 4. Let s(r) = r**3 - 3*r**2 + 3*r + 3. Calculate 3*q(m) + 4*s(m).
m**3
Let o(k) = -4*k - 14. Let n(y) = -y - 5. Give 