 k(r).
-6*r**3
Suppose -4*v + 6 = -2. Let p(h) = -4*h - 2 + v*h + h. Let i(z) be the third derivative of -z**3/6 + 3*z**2. What is 4*i(m) - p(m)?
m - 2
Let b(d) = 0*d - 1 + 2*d + 4*d. Suppose 4*m - 5*z = 34, 0 = 3*m + z + 5 - 21. Let s(i) = 5*i - 1. Give m*b(q) - 7*s(q).
q + 1
Let n(w) = -w**3 - w + 1. Let r be n(1). Let m(x) = x - 1. Let d(v) be the second derivative of -v**3/2 + 3*v**2/2 + 69*v. Calculate r*d(s) - 4*m(s).
-s + 1
Let z(o) = -4*o + o + 4*o. Let d(x) = x + 6. Let m be d(12). Let w = 13 - m. Let r(t) = 4*t + 2. Calculate w*z(n) + r(n).
-n + 2
Let o(d) = -15*d - 7. Suppose 4*g + 2 = 5*u - 24, -2*g = 2*u - 14. Let s(p) = 26*p + 24. Let z(q) = -q - 1. Let w(n) = 2*s(n) + 44*z(n). Give u*o(t) + 11*w(t).
-2*t + 2
Let c = 4 - 8. Let f(u) = -u + 1. Let v(o) = -3*o + 2. Let m(p) = p**2 + 7*p - 17. Let j be m(-9). Give c*f(t) + j*v(t).
t - 2
Let v(a) = -5*a**2 + 2. Let b(u) be the first derivative of 0*u**2 - 2/3*u**3 + u + 2. Suppose 2*d + 24 = 5*d. What is d*b(c) - 3*v(c)?
-c**2 + 2
Let x(a) = 9*a**2 + 5*a - 7. Let q(i) = 5*i**2 + 3*i - 4. Let n(f) = -f**2 + 12*f - 15. Let d be n(10). Determine d*q(h) - 3*x(h).
-2*h**2 + 1
Let z(o) = -7*o**2 - 11*o + 7. Let f(m) = -3*m**2 - 6*m + 3. Calculate -5*f(i) + 2*z(i).
i**2 + 8*i - 1
Suppose 24 = -5*p + 4*h - 158, -p - 5*h = 19. Let u(m) = -m + 4. Let s(k) = -6*k + 23. What is p*u(r) + 6*s(r)?
-2*r + 2
Let q(z) = 6*z**3 - 5*z**2 + 8*z + 5. Let m be (-4)/(-2) - 4 - -7. Let r(b) = b**3 - b**2 + b + 1. Give m*r(w) - q(w).
-w**3 - 3*w
Let t(y) = -5*y + 1. Let h(w) = -10*w + 2. Give -3*h(o) + 5*t(o).
5*o - 1
Let t(u) be the third derivative of u**5/60 - u**3/3 + 5*u**2. Suppose 0 = p + 5, 3*j + p + 15 = 4. Let f(g) = 1 - 1 + 1. What is j*t(o) - 6*f(o)?
-2*o**2 - 2
Let r(l) = l. Let j(d) = -12*d - 2. Let z(k) = -j(k) - 10*r(k). Suppose -4*c = -4*w - w + 5, -2*w + 3*c = -9. Let h(i) = -i - 1. Determine w*z(x) - 8*h(x).
2*x + 2
Let w(v) = v**2 + v. Let a = -10 + 9. Let n(k) = -5*k**2 - k + 1. Let m(b) = a*n(b) - 2*w(b). Let g(l) = -2*l**2 + l + 1. Calculate 4*g(c) + 3*m(c).
c**2 + c + 1
Let o(q) be the second derivative of -q**3/6 + 3*q**2 - 5*q. Let c(a) be the third derivative of a**3/6 - a**2. What is 5*c(d) - o(d)?
d - 1
Let v(h) = -5*h**2 - 2*h + 3. Let u(g) = -9*g**2 - 4*g + 5. Determine 6*u(k) - 11*v(k).
k**2 - 2*k - 3
Let y(h) = -h**3 - 4*h**2 + 4*h. Let z(b) = b**3 + 9*b**2 - 9*b. What is -9*y(c) - 4*z(c)?
5*c**3
Let b(t) = -4*t**2 - t - 9. Let a(z) = -4*z**2 + 3*z + 1. Let r(x) = -5*x**2 + 4*x + 2. Let g(y) = -4*a(y) + 3*r(y). Calculate 2*b(q) + 9*g(q).
q**2 - 2*q
Let b(n) = -6*n. Let f(h) = 7*h. Let l = 9 + -24. Let j(a) = -a**2 - 6*a + 6. Let v be j(-5). Let o = l + v. Calculate o*f(q) - 5*b(q).
2*q
Let p(a) = 5*a + 1. Suppose -2*d + 30 = -2. Let i(c) = 2*c - 3. Let q be i(3). Let v(n) = -6 - n - 28*n + q*n. Calculate d*p(x) + 3*v(x).
2*x - 2
Let s(f) = -f**2 - f. Suppose z + 3*q = -4*z + 20, -5*z - q = -20. Let m(o) = 4*o - z*o - o**2 + o. What is m(c) + s(c)?
-2*c**2
Let w = 182 + -195. Let o(b) = -2*b**2 + 13*b - 13. Suppose -5 + 1 = -2*h. Let y(z) = 2 - 3 + 7 - 6*z + z**h. Calculate w*y(l) - 6*o(l).
-l**2
Let s(o) = 5*o**3 - 11*o - 5. Let z(x) = -9*x**3 + 22*x + 9. Calculate -11*s(m) - 6*z(m).
-m**3 - 11*m + 1
Let s(x) = -8*x**3 - 3*x**2 + 11*x - 7. Let n(k) = -3*k**3 - k**2 + 4*k - 2. Calculate -17*n(h) + 6*s(h).
3*h**3 - h**2 - 2*h - 8
Let y be 98/6 - 4/(-6). Let w = y - 12. Suppose t - 8 = 2*t - 5*d, 0 = -4*t + w*d - 17. Let i(h) = -4*h**2. Let u(b) = 5*b**2. What is t*i(x) - 2*u(x)?
2*x**2
Let s(v) = v**2 + 3*v + 9*v**3 - 12*v**3 + 2 - v. Let c(n) = 10*n**3 - 3*n**2 - 7*n - 7. Let u be 38/6 - 8/(-12). Determine u*s(q) + 2*c(q).
-q**3 + q**2
Let z(n) = 7*n**3 + 4*n**2 + 4. Let k(f) = 15*f**3 + 7*f**2 + 7. Give 4*k(g) - 7*z(g).
11*g**3
Let t(u) = -15*u**3 - 5. Let x(p) = -7*p**3 - 3. Determine -6*t(y) + 13*x(y).
-y**3 - 9
Let g = -19 + 23. Let l(d) = -2*d**2 + 8. Let w(i) = i**2 - 3. Calculate g*l(f) + 11*w(f).
3*f**2 - 1
Let v be (-3)/2 - 9/18. Let w(x) = 4*x**2 + 5*x. Let o(z) = z**2 + z. Calculate v*w(q) + 11*o(q).
3*q**2 + q
Let l(m) = m**2 - m - 1. Let u(q) = -5*q + 3*q + 7*q**2 - 2 - 6 - 4*q. Determine 6*l(b) - u(b).
-b**2 + 2
Let y(g) = -5*g + 5. Let v = -14 - -15. Let h(f) = 5*f - 5. Let w(p) = 11*p - 11. Let r(l) = -13*h(l) + 6*w(l). Determine v*y(t) + 4*r(t).
-t + 1
Let c(i) = 11*i + 5. Let a(t) = 54*t + 24. Calculate 5*a(o) - 24*c(o).
6*o
Let o(v) = -v**3 + 5*v**2 - 4*v + 4. Let c(q) = -2*q**3 + 14*q**2 - 11*q + 11. Suppose 0 = -17*n + 13*n + 16. Calculate n*c(z) - 11*o(z).
3*z**3 + z**2
Let p(d) = d**3 + d**2 + d. Let q(w) = 4*w**2 + w. Let i(o) = -9*o**2 - 2*o. Let t(u) = 3*i(u) + 7*q(u). Give -2*p(r) + 2*t(r).
-2*r**3
Let n(u) = 2*u**3 - 2*u**2 - 6. Let g(t) = t**2 + 9*t + 9. Let r be g(-7). Let b(s) = -3*s**3 + 6 + 2*s**2 - 2*s**3 + 3*s**3 - 1. Calculate r*b(c) - 4*n(c).
2*c**3 - 2*c**2 - 1
Let x(a) = -4*a**3 + 4*a. Let u = 11 + -6. Let h(d) = -9*d**3 + 9*d. Calculate u*x(t) - 2*h(t).
-2*t**3 + 2*t
Let z(w) = -w. Let x(y) = -4*y + 1. Determine 2*x(r) - 11*z(r).
3*r + 2
Let i(j) = j**3 - 5*j**2 + 2*j - 2. Suppose -2*f - 2*z - 9 = -7*z, 0 = -4*f - 3*z - 5. Let k(p) = -p**3 + p**2 + 1. Give f*k(a) - i(a).
a**3 + 3*a**2 - 2*a
Let h(g) = -1. Let n(u) = -1725 - 3*u + 3*u + 1721 - 3*u**3. What is -4*h(c) + n(c)?
-3*c**3
Let a(z) = -14*z**2 - 17*z - 24. Let t(o) = 5*o**2 + 6*o + 8. Determine -6*a(j) - 17*t(j).
-j**2 + 8
Let w(k) = 4*k**3 - 7*k**2 + 1. Let z(s) = 5*s**3 - 8*s**2 - 2*s + 1. Let b(i) = -i - 3*i + i + 2*i. Let n(q) = -2*b(q) + z(q). What is 6*n(h) - 7*w(h)?
2*h**3 + h**2 - 1
Let j(r) = 4*r**2 - 3. Let k(l) = -16*l - 1 + 16*l - 8 + 13*l**2. Calculate -7*j(d) + 2*k(d).
-2*d**2 + 3
Let l(d) = 5*d**3 + 3*d + 3. Let a(v) = 9*v**3 + 5*v + 5. Determine -3*a(c) + 5*l(c).
-2*c**3
Let t(u) be the second derivative of 7*u**3/6 - 9*u**2/2 + 7*u. Let c(k) = 3*k - 4. Give 9*c(s) - 4*t(s).
-s
Let o(c) = -6*c + 3*c - 11 + 10*c. Let k(r) = -4*r + 6. Give -5*k(b) - 3*o(b).
-b + 3
Let z(a) = 5*a**2 + 10*a + 1. Let v(x) = 10*x**2 + 20*x + 2. Determine -4*v(p) + 7*z(p).
-5*p**2 - 10*p - 1
Let g be 37/(-6) + (-6)/(-36). Let v(t) = -4*t**2 - 1 - 3 + 0. Let c(z) = -z**2 + 3. Let h(u) = -u**2 + 4. Let k(d) = 5*c(d) - 4*h(d). What is g*k(m) + v(m)?
2*m**2 + 2
Let r(n) = -n**3 + 3*n + 3. Let d = -10 - -5. Let i(t) = -t**3 - 1 + 0*t + 2*t + 3. Give d*r(x) + 7*i(x).
-2*x**3 - x - 1
Let d = 31 - 28. Let f(t) = 4 - 3 + d*t - 8*t + 3*t. Let m(o) = -o**3 + 4*o**2 - 3*o + 4. Let z be m(3). Let k(a) = -2*a + 1. Determine z*f(q) - 3*k(q).
-2*q + 1
Let t(z) = 107*z**2 - 13. Let l(b) = 53*b**2 - 6. What is 13*l(u) - 6*t(u)?
47*u**2
Let i be (20/(-15))/((-6)/(-27)). Let o(t) = -2*t**2 - t + 5. Let q(v) = -2*v**2 - v + 6. Determine i*o(a) + 5*q(a).
2*a**2 + a
Let g(k) = -8*k**3 + 5*k**2 - 5*k. Let z(d) = 7*d**3 - 6*d**2 + 6*d. Determine 6*g(c) + 5*z(c).
-13*c**3
Let s = 7 - 10. Let m(k) = k**3 - k**2 + 4*k. Let y(n) = n**3 - n**2 + 5*n. What is s*y(b) + 4*m(b)?
b**3 - b**2 + b
Let t(h) = 5*h + 5. Let b(m) = 40*m + 40. Let i(s) = -3*b(s) + 25*t(s). Let o(a) = -a - 1. Calculate i(y) + 6*o(y).
-y - 1
Let q(n) = -6 - 2*n**2 - n**2 - 8*n + 25*n. Suppose 1 = 4*y - 3*a - 4, 0 = 3*a - 3. Let d(p) = 4 - 6 - 3*p**y + 2*p**2 + 6*p. Give 17*d(j) - 6*q(j).
j**2 + 2
Let a(i) = 35*i**2 - 5. Let w(v) = 228*v**2 - 32. Determine 32*a(g) - 5*w(g).
-20*g**2
Let w(i) = -i + 4. Let z(b) = -b + 3. Let t(d) = 4*w(d) - 5*z(d). Let u(a) = 3. Give -2*t(c) + u(c).
-2*c + 1
Let w(p) = -2*p - 4. Let j(k) = -k - 2. What is 11*j(s) - 6*w(s)?
s + 2
Let m(c) = 5*c**3 - 7*c**2 + 4. Let w(z) = 6*z**3 - 7*z**2 + 3*z - 1. Let v(i) = 5*i**3 - 6*i**2 + 2*i. Let s(u) = 3*v(u) - 2*w(u). Determine -4*m(q) + 7*s(q).
q**3 - 2
Let c = -3 + 4. Let l(v) = -7*v - 5. Let m = -11 - -5. Let t(w) = -w - 1. Calculate c*l(u) + m*t(u).
-u + 1
Let f(y) = -5*y**3 - 8*y**2 + 39*y. Let r(b) = -2*b**3 - 3*b**2 + 13*b. What is -3*f(x) + 8*r(x)?
-x**3 - 13*x
Suppose -i - 3 = d, -d - 8*i = -5*i - 1. Let x(s) = 4*s**3 - 2*s**2. Let c(b) = -9*b**3 + 5*b**2. Suppose 2 = -j - 0. Give d*x(y) + j*c(y).
-2*y**3
Let c(p) = -14*p**3 - 2*p**2 + 2*p + 2. Let b(u) = 351*u**3 + 51*u**2 - 51*u - 51. Calculate 6*b(z) + 153*c(z).
-36*z**3
Let z(o) = 2*o**3 - 4*o**2 - 5*o + 5. L