 - 4
Let g(u) be the third derivative of 0*u + 1/24*u**4 + 0 + 1/30*u**5 - 6*u**2 - 1/3*u**3. Let y(i) = i**3 - 5*i**2 - 2*i + 5. Determine 5*g(q) + 2*y(q).
2*q**3 + q
Let r(s) = -3*s. Suppose -5*z + 3*z - q + 5 = 0, -8 = 4*z - 4*q. Suppose -4*t = 0, 2*d - t + 2 = -3*t. Let b(x) = -x**2 - x - 1. What is d*r(y) + z*b(y)?
-y**2 + 2*y - 1
Let l = 14 + -1. Let s(a) = -17*a - 2. Suppose 2*b - 2*o + 6 = 0, 4*b + 0*o = -o + 8. Let n(u) = 0 - 4*u - b - 4*u. Determine l*n(f) - 6*s(f).
-2*f - 1
Suppose -8 = 2*p + 2*y + 2, -4*y - 12 = 0. Let d(f) = 26*f. Let w(v) = -5*v. What is p*d(o) - 11*w(o)?
3*o
Let q(k) = -2. Let f(d) = -3 + 1 + 0 + 1. Let t(y) = -5*f(y) + 3*q(y). Let o(r) = r**2 + 4. Let x = 7 + -8. Determine x*o(m) - 4*t(m).
-m**2
Let q(s) = 22*s**3 + 7*s**2 - 7. Let k(j) = 23*j**3 + 6*j**2 - 6. Determine 7*k(x) - 6*q(x).
29*x**3
Let k(z) = z**2 - z + 1. Let b(x) = -3*x**3 - 21*x**2 + 28*x - 21. Let m(c) = -c**3 - 7*c**2 + 9*c - 7. Let l(i) = 2*b(i) - 7*m(i). What is 14*k(d) - 2*l(d)?
-2*d**3
Let r(d) = -15*d**3 - d**2 - 2. Let k(f) = 60*f**3 + 5*f**2 + 8. Determine 2*k(c) + 9*r(c).
-15*c**3 + c**2 - 2
Let u(i) = 4*i - 4. Let b(w) = -w + 1. Determine 14*b(j) + 4*u(j).
2*j - 2
Suppose 2*x = 3*x. Let b(a) = x - 3 + 7. Let v(i) = 3 - 2 + i + 0*i. What is b(m) - 2*v(m)?
-2*m + 2
Let o(m) = 7*m - 3. Let s(r) = 8*r - 3. Let t(l) = 5*o(l) - 6*s(l). Let n(z) = 4*z - 1. Let q(f) = f**2 - 2*f - 8. Let v be q(5). Determine v*n(i) + 2*t(i).
2*i - 1
Suppose -x - 5 = -9. Let v(c) be the third derivative of 3*c**2 + 0 + 0*c - 7/8*c**x - 11/6*c**3. Let m(d) = -4*d - 2. Give 11*m(h) - 2*v(h).
-2*h
Let a(b) = -b + 1. Let r = -5 + 7. Suppose r*x = -1 + 5. Let c(z) = 3*z - 2 + 0 - z**x - 1. What is -3*a(d) - c(d)?
d**2
Let h(w) = -10*w - 27. Let r(y) = -3*y - 9. Determine -2*h(m) + 7*r(m).
-m - 9
Let x(j) = 24347*j - 776. Let y(u) = -94*u + 3. Give 3*x(w) + 776*y(w).
97*w
Let d(b) = 4 + 8*b**3 - 2*b**2 - 13*b**3 - 3 + 5*b**2. Let r(a) = 11*a**3 - 7*a**2 - 2. Calculate 7*d(v) + 3*r(v).
-2*v**3 + 1
Let f(a) = -84*a - 14. Let m(q) = -17*q - 3. Calculate 3*f(h) - 14*m(h).
-14*h
Let z(d) = 16*d**2 - 11*d + 11. Let p(q) be the second derivative of q**4/4 - q**3/3 + q**2 + 22*q. What is -22*p(y) + 4*z(y)?
-2*y**2
Let m(t) = t - 1. Suppose 8 = 6*a - 4. Let i(o) = -1. Let q(u) = 3. Let j(g) = 6*i(g) + 3*q(g). Let f = 8 + -7. Determine a*m(v) + f*j(v).
2*v + 1
Suppose -5*s = -0*s + 5. Let y(m) be the first derivative of m - 2. Let r(h) = h + 2. Calculate s*r(t) + 2*y(t).
-t
Let q(c) = 3*c**3 - 5*c**2 + 5*c + 5. Let o(r) = -3*r**3 + 4*r**2 - 4*r - 4. Calculate 5*o(u) + 4*q(u).
-3*u**3
Let m = -11 - -7. Let q(k) = 3*k + 2. Let i = -6 + -3. Let f(p) = -7*p - 4. Give i*q(h) + m*f(h).
h - 2
Let v(h) = 3*h + 2. Let m(u) = 2*u + 2. Give -6*m(i) + 5*v(i).
3*i - 2
Let g be 42/(-8) - 1/(-4). Let v(t) = -3*t - 6. Let w(q) = q**2 + 3*q - 2. Let r be w(-4). Let x(s) = -2*s + r*s - 2*s - 1 - 4. Give g*x(h) + 4*v(h).
-2*h + 1
Let d(z) be the third derivative of -7*z**4/24 - z**3 + z**2. Suppose 3*u - 4 = 2. Let y(h) = 3*h + u*h + 7 + 3*h. Give 7*d(t) + 6*y(t).
-t
Let t = 14 - 12. Let n(l) = l - t - 10 + 11. Let v(o) = 10*o - 12. Determine -22*n(d) + 2*v(d).
-2*d - 2
Let u(b) = -4*b + 2. Let w(o) = 40*o - 25. Let v(a) = 13*a - 8. Let n(s) = -7*v(s) + 2*w(s). Give 3*n(y) - 8*u(y).
-y + 2
Let o(b) = -b**3 + 4*b**2 + 4. Let h(y) = -1. Give 2*h(v) + o(v).
-v**3 + 4*v**2 + 2
Let f(k) = 3*k + 14 - 2*k - 9. Let r(y) = -y - 6. Calculate -4*f(i) - 3*r(i).
-i - 2
Let n(x) = x**2 - 2*x. Let v(j) = -3*j**2 + 5*j. Let l(q) = q**2 - 8*q - 8. Let c be l(8). Give c*n(d) - 3*v(d).
d**2 + d
Let q(j) = -2*j**2 + 4*j - 1. Suppose 4*n + 6 = p + 26, 8 = -p + n. Let a(w) = 2*w**2 - 5*w + 1. What is p*a(y) - 5*q(y)?
2*y**2 + 1
Let o = 5 - 2. Let l(r) = 2*r + 0*r - 6 + o*r. Let m(h) = 6 - 1 - 2*h - 1 - h. Determine -5*l(v) - 8*m(v).
-v - 2
Let u(v) = -v**2 - v + 1. Let m(l) = 10*l**2 + 10*l - 11. Let j = -8 - -11. Suppose 2*z + j*k = 50, 0 = 3*z + 4*k - 3 - 71. Calculate z*u(t) + 2*m(t).
-2*t**2 - 2*t
Let t(f) = -30*f**2 + 60*f + 60. Let a(u) = -u**2 + u + 1. Calculate -60*a(j) + t(j).
30*j**2
Let s(j) = 3*j - 3. Let y(v) = -v**3 - 5*v + 5. Suppose h - 5 = -0. Give h*s(d) + 3*y(d).
-3*d**3
Let o(t) = -5*t**2. Let i(v) be the third derivative of -v**5/60 + 48*v**2. What is -9*i(y) + 2*o(y)?
-y**2
Let v(h) = h**3 - h. Let n(p) = p**3 + 7*p**2 - 2*p - 10. Let y be n(-7). Let l = y - 3. Let a(x) = -x. Suppose -5 = 5*u - 0. Calculate l*a(f) + u*v(f).
-f**3
Suppose f - 4*j = -j + 3, -4*f = -2*j + 28. Let l(r) = -4*r**2 + 4*r - 1. Let v(s) = -4 + 47*s**2 - 114*s**2 + 50*s**2 + 17*s. Give f*l(m) + 2*v(m).
2*m**2 - 2*m + 1
Let x(c) = c. Suppose 4*t + 39 + 13 = 0. Let w = t + 12. Let i(f) = -10*f. Determine w*i(n) - 12*x(n).
-2*n
Let h(q) = -q**3 - q**2 - 5. Let r(j) = j**3 + 2*j**2 + j + 6. Calculate 5*h(v) + 4*r(v).
-v**3 + 3*v**2 + 4*v - 1
Let n(k) = 24*k**2. Let b(y) = y**2. Calculate -30*b(o) + n(o).
-6*o**2
Suppose -4*n + 3*n - 2*x + 3 = 0, 5*n + 2*x - 15 = 0. Let y(h) = -1. Let v(q) = 2*q. What is n*y(i) + v(i)?
2*i - 3
Suppose -6*f + 20 = -4. Let q(y) = 3*y + 5. Suppose 5*v = 2*d + 4, 0 = -v - 2*v + 4*d - 6. Let h(n) = n + 1 - v*n - 2. Determine f*h(k) + q(k).
-k + 1
Suppose 3*h - 2*h = 3*i + 5, -12 = -5*h + 2*i. Let t(g) = 1 - 3 + 3*g - g. Let w(a) = a - 1. Give h*t(x) - 6*w(x).
-2*x + 2
Let y be 21*(-3)/9*1. Let s(c) be the third derivative of -c**5/20 + c**4/6 + 2*c**3/3 - c**2. Let a(z) = 5*z**2 - 7*z - 7. Give y*s(u) - 4*a(u).
u**2
Let c(q) = 2*q - 1. Let r(s) be the third derivative of s**4/24 - s**3/6 + 10*s**2. What is -4*c(j) + 6*r(j)?
-2*j - 2
Let h(o) = 4*o**2 + o - 4. Suppose 0*z = 3*c + z - 17, -23 = -5*c + z. Let u(l) = 9*l**2 + 2*l - 9. Give c*h(v) - 2*u(v).
2*v**2 + v - 2
Let y(c) = 2*c**2 - 6*c + 7. Let a(j) = j**2 - 2*j + 2. What is -7*a(s) + 2*y(s)?
-3*s**2 + 2*s
Let a(c) = -c**3 - 5*c**2 + 6*c + 3. Let o be a(-6). Let u(l) = -l**2 + 2 - 9*l - 8 - o. Let w(h) = 2*h + 2. What is 2*u(y) + 9*w(y)?
-2*y**2
Let d = -55 + 109. Suppose -3*w + 3*t - d = 0, 4*w + 5*t - 3 + 30 = 0. Let n(z) = -1 + 5*z - 3 + 4*z. Let i(q) = 4*q - 2. Calculate w*i(a) + 6*n(a).
2*a + 2
Let m(z) = -1. Let l(j) = j + 3. What is l(k) + 5*m(k)?
k - 2
Suppose -3*k + 3 + 6 = 0. Let j(g) = -2*g**2 + 3*g + 3. Let h(n) = 2*n**2 - 2*n - 2. Give k*h(x) + 2*j(x).
2*x**2
Let f(g) = g**2 + g + 1. Let c(u) = -u**2 - 11*u - 11. What is -6*c(k) - 66*f(k)?
-60*k**2
Suppose -3*s + 6*s = -30. Let l(f) = -f**3 - 9*f**2 + 12*f + 13. Let t be l(s). Let x(k) = 13*k + 7. Let w(i) = -7*i - 4. Calculate t*w(o) - 4*x(o).
-3*o
Let n(u) = u. Let g(a) = 4*a**2 + 3*a - 1. Let t(l) = -2*l**2 - 2*l. Let x(h) = -2*g(h) - 5*t(h). Determine -4*n(d) + x(d).
2*d**2 + 2
Let g(k) = k**2 - 3*k - 14. Let v be g(6). Suppose t + 0*t + v = 0. Let l(n) = -2*n**2 - 3*n + 4. Let s(m) = 4*m**2 + 7*m - 9. What is t*s(c) - 9*l(c)?
2*c**2 - c
Let z(y) = 0*y + 4*y + 10 - y. Let f(p) = -1. Let h(q) = q - 3. Let t(l) = -6*f(l) + h(l). Let r = -6 - -4. Determine r*z(x) + 7*t(x).
x + 1
Let b(v) = 4*v**3 + 2*v**2 - 1. Let u(g) = g**3 + g**2. Let n be 56/(-10) + 12/(-30). Let s = -7 - n. Give s*b(t) + 2*u(t).
-2*t**3 + 1
Let d(v) = 2*v + 11. Let t(j) = 0*j + 6*j + 4 - j - 4*j. Give 3*d(g) - 8*t(g).
-2*g + 1
Let h(w) = -w**3 + 6*w**2 - w - 6. Let a(q) = -q**2 + 1. Calculate -6*a(v) - h(v).
v**3 + v
Suppose -10 = 2*p + 2. Let k(l) = -2*l**3 + l**2 + 6. Suppose 0 = 4*u + 4. Let w = u + -10. Let f(q) = 4*q**3 - 2*q**2 - 11. Give p*f(m) + w*k(m).
-2*m**3 + m**2
Let l(p) = -18*p + 2. Let b(d) = d. What is 5*b(s) + l(s)?
-13*s + 2
Let r(q) = q. Let n(h) = 2*h. Calculate 3*n(f) + 12*r(f).
18*f
Let q(t) = -4*t + 6. Let s be ((-2)/1)/(1/3). Let h(j) = 11*j - 17. Let i(y) = 5*y + 8. Let c be i(-5). Give c*q(r) + s*h(r).
2*r
Let g(b) = 5*b**2 - 5*b - 7. Let t(u) = 10*u**2 - 10*u - 14. Let w(n) = -7*g(n) + 3*t(n). Let q(f) = -2*f**2 + 2*f + 3. Give -14*q(d) + 6*w(d).
-2*d**2 + 2*d
Let y(u) = -10*u**2 + 5. Let g(k) = -9*k**2 + 4. Give -5*g(d) + 4*y(d).
5*d**2
Let x(o) = -4*o**2 - 4*o - 2. Let y(t) = 3*t**2 + 3*t + 1. Let z(a) = -2*x(a) - 3*y(a). Let u(c) = c**3 + c**2 - 4*c + 4. Give -u(h) + 4*z(h).
-h**3 - 5*h**2
Let c(q) be the first derivative of -q**2/2 - q - 5. Let a(x) = -x + 1. Let p(t) = 