- 3*m. What is 6*h(j) + 4*r(j)?
2*j**3
Let h(c) = -5*c. Suppose s + 19 = -4*q - 2*s, -17 = 3*q + 5*s. Let p(n) = -n + 1. Calculate q*p(t) + h(t).
-t - 4
Let d(g) = -g - 1. Let x(p) be the first derivative of 9*p**2/2 + 10*p + 19. Calculate 22*d(i) + 2*x(i).
-4*i - 2
Let w(s) = -25*s**2. Suppose 5*i = 4*l + 275, -2*i - 71 = -3*i + 4*l. Let o(g) = 3*g**2. Give i*o(k) + 6*w(k).
3*k**2
Let i(b) = b - 1. Let t(u) = -4*u**3 + 5*u - 5. Give -15*i(f) + 3*t(f).
-12*f**3
Let l(h) = -h + 1. Let m(o) = o + 1. Determine l(c) - 2*m(c).
-3*c - 1
Let u(d) = 3*d - 2. Suppose 6*j = -24 - 0. Let b(p) = 3*p - 1. What is j*b(a) + 3*u(a)?
-3*a - 2
Let z(m) = 3*m**2 + 127*m - 255*m + 128*m - 3 - 4*m**3. Let s(w) = 3*w**3 - 2*w**2 - w + 2. Give 3*s(r) + 2*z(r).
r**3 - 3*r
Suppose -2 = -2*t - 22. Let p be (-18)/t*(-10)/(-3). Let n(a) = -a + 1. Let s(q) = -2*q + 2. What is p*s(d) - 10*n(d)?
-2*d + 2
Let n(c) = 3*c**2 - 6*c - 6. Let t(f) = 9*f**2 - 17*f - 17. Determine 17*n(z) - 6*t(z).
-3*z**2
Let j(r) be the first derivative of -7*r**2/2 + 3*r + 1. Let p(s) = -5*s + 1. Let m(o) = 6*o. Let d(y) = -2*m(y) - 4*p(y). What is -5*d(c) - 6*j(c)?
2*c + 2
Let d(g) = -14*g + 1. Let x(z) = -15*z + 1. Calculate -6*d(k) + 5*x(k).
9*k - 1
Suppose -4*p - 20*y + 29 = -25*y, 0 = -3*y + 9. Let x(l) = 8*l**2 - 2. Let o(t) = -1. Let f(k) = -15*k**2 + 9. Let n(z) = f(z) + 5*o(z). Give p*x(r) + 6*n(r).
-2*r**2 + 2
Let x(m) be the first derivative of -4*m - 5/3*m**3 - 2*m**2 + 4. Let a(s) = s**3 - s**2 - 1. Let b be a(2). Let n(h) = -4*h**2 - 3*h - 3. Give b*n(o) - 2*x(o).
-2*o**2 - o - 1
Let p(z) = 4*z**2 + 8*z + 6. Let f(h) = h**2 - 12*h + 11. Let q be f(12). Let o(n) = 7*n**2 + 15*n + 11. Calculate q*p(w) - 6*o(w).
2*w**2 - 2*w
Let i(y) = -2*y**2 + 14*y + 1. Let s be i(7). Let r(k) = 3*k + 4. Let x(b) be the third derivative of b**4/24 + b**3/6 + 2*b**2. Give s*r(f) - 4*x(f).
-f
Let j(a) = -25*a**2 + 2*a + 8. Let f(x) = 24*x**2 - 2*x - 7. What is -7*f(t) - 6*j(t)?
-18*t**2 + 2*t + 1
Let l(z) = 2*z**3 - 3. Let r(d) be the first derivative of 3*d**4/4 - 5*d + 6. Give 10*l(x) - 6*r(x).
2*x**3
Let c(q) = -5*q**2 + 5*q - 4. Let t(v) = -11*v**2 + 10*v - 8. Let l(u) = 9*c(u) - 4*t(u). Let i(p) = p**2 - 6*p + 5. What is 3*i(o) + 4*l(o)?
-o**2 + 2*o - 1
Let n(w) = 38*w + 5. Let o(k) = 38*k + 4. Give -2*n(j) + 3*o(j).
38*j + 2
Let r(c) = 5*c**3 + 11*c**2 + 11*c + 8. Let u(x) = 2*x**3 - 3*x**3 - 4*x - 3 + x**3 - 4*x**2 - 2*x**3. Give -3*r(s) - 8*u(s).
s**3 - s**2 - s
Let g(h) = 11*h. Let k(y) = 1. Give g(o) + 2*k(o).
11*o + 2
Let k(f) = 4*f - 2. Let s be (-6)/(-21) + 12/7. Let r(a) = 0 - s*a - 1 + 3 - a. What is -5*k(p) - 6*r(p)?
-2*p - 2
Let b(z) be the third derivative of z**5/60 + z**4/8 - z**3/2 + 2*z**2. Let s(v) = v - 1. Determine b(u) - 3*s(u).
u**2
Let a(p) = -4*p - 7. Suppose -3*y = -5 + 23. Let z(u) be the first derivative of -3*u**2/2 - 6*u - 1. Determine y*z(x) + 5*a(x).
-2*x + 1
Let z(j) = -j**2 + 5*j + 2. Let k be z(5). Let t(r) = 7*r - r - 4*r. Let w(f) = f**2 + 11*f. What is k*w(b) - 11*t(b)?
2*b**2
Let u(j) = j**2. Let w(a) = 3*a**2 - a + 3. Let c(v) = v**2 + 1. Let g(l) = 4*c(l) - w(l). Let d be -3*((-8)/12 - -1). Give d*g(q) + 2*u(q).
q**2 - q - 1
Let x(f) = -5*f**2 + 6*f - 33. Let i(z) = -6*z**2 + 7*z - 33. Calculate -6*i(t) + 7*x(t).
t**2 - 33
Let u(y) = 21*y**2 - 9*y - 9. Let d(q) = -11*q**2 + 5*q + 5. Suppose 0 = -5*h - 4*g - 29, -6*h + 2*h - 19 = -g. What is h*u(r) - 9*d(r)?
-6*r**2
Suppose 37 = -3*d - 4*t, 2*t + 0 = 4. Let p be 12/5 - (-6)/d. Let g(o) = 4*o + 9*o + 2 + p*o. Let c(m) = -8*m - 1. What is 11*c(q) + 6*g(q)?
2*q + 1
Suppose 0 = 3*b - 4 - 5. Let w(k) = -2*k - 7*k**2 + k**2 + k**2 - b. Let f(r) = 6*r**2 + 2*r + 4. Determine -3*f(g) - 4*w(g).
2*g**2 + 2*g
Let b = 2 + 1. Let u(n) = -2 + 6 - b*n + 2. Let o(r) = -2*r + 5. Let w = 2 - 6. Calculate w*o(k) + 3*u(k).
-k - 2
Let q(l) = -l**3 - 6*l**2 + 5*l - 9. Let f be q(-7). Let c(d) = -7*d**2. Let i(s) = 11*s**2. Give f*i(a) + 8*c(a).
-a**2
Let a(l) = 9*l - 2. Suppose 1 = 5*n - 9. Suppose 5*f = -3*r + 11, -n*r + 5*r + 2*f + 1 = 0. Let x(b) = 4*b - 1. Let q = 18 - 11. Determine q*x(c) + r*a(c).
c - 1
Let l(k) = -k - 1. Let i(g) = -7*g - 4. Let m = 40 - 34. Determine m*l(z) - i(z).
z - 2
Let t(a) = -a**2. Let i(h) = -2*h**2 - 4*h**2 + 2*h**2. Let b = -11 - -6. What is b*t(z) + i(z)?
z**2
Let y(g) = -g**3 - 6*g**2 + 3*g. Let b(l) = 5*l + 98. Let p be b(-19). Let c(d) = 2*d**3 + 7*d**2 - 4*d. Let t = 15 - 11. Calculate p*c(z) + t*y(z).
2*z**3 - 3*z**2
Suppose 0 = -p + w + 10, 0 = -3*p - p - 4*w + 32. Let l(q) = 13*q**2 - 9*q + 9. Let h(d) = -6*d**2 + 4*d - 4. What is p*h(z) + 4*l(z)?
-2*z**2
Let d(b) = -6 - 2*b**2 + 0*b - 2*b**2 + 5*b. Let w(f) = -f**2 + f - 1. Suppose 11 = u + 2. Let g = -10 + u. Determine g*d(c) + 5*w(c).
-c**2 + 1
Let k(l) = -26*l**2 - 15. Let q(v) = -5*v**2 - 3. Calculate 2*k(d) - 11*q(d).
3*d**2 + 3
Suppose -2*m + 6 + 7 = -5*t, -5*t - 25 = 0. Let f(a) = 8*a**3 - 4*a**2 + 2*a. Let y(u) = -17*u**3 + 9*u**2 - 4*u. Calculate m*y(s) - 13*f(s).
-2*s**3 - 2*s**2 - 2*s
Let v(y) = y**2. Suppose -2*t = -5*t. Let n = t + -1. Let i(j) = -j**3 + 5*j**2 - 2*j - 2. Determine n*i(u) + 5*v(u).
u**3 + 2*u + 2
Let c(a) = -3*a**2 - 2*a - 2. Let p(s) = -6*s - 10 - 1 - 16*s**2 - 5*s. Determine -22*c(k) + 4*p(k).
2*k**2
Let g(l) = 21*l**3 + 2*l. Let z(i) = 64*i**3 + 7*i. Give -7*g(k) + 2*z(k).
-19*k**3
Let m(j) = -2*j - 41. Let r be m(-20). Let a(y) = -y**2 - y. Let d(c) = 8*c**2 + 5*c. What is r*d(i) - 5*a(i)?
-3*i**2
Let t(r) = -r**3 + r + 1. Let q(d) be the first derivative of 7*d**4/4 - d**2 - 6*d + 9. Calculate -q(i) - 5*t(i).
-2*i**3 - 3*i + 1
Let r(v) be the third derivative of 2*v**2 - 1/6*v**4 + 1/3*v**3 + 0 + 0*v. Let l(u) = -3*u + 1. Let s(y) = -y - 7. Let g be s(-5). Give g*r(o) + 3*l(o).
-o - 1
Let w(d) = -d - 5. Let s(h) be the first derivative of h**2/2 + h + 2. Let j be s(-7). Let o(l) = l + 4. Determine j*o(f) - 5*w(f).
-f + 1
Let q(y) = -11*y + 8. Let g(l) = -22*l + 17. Calculate -4*g(i) + 9*q(i).
-11*i + 4
Let q(f) be the first derivative of 2*f**2 + 4*f + 2. Let p(d) = -5*d - 5. Suppose 0 = 5*r - 5*u + 5, 15*r + 2*u = 11*r - 10. Calculate r*p(o) - 3*q(o).
-2*o - 2
Let j(f) = -6*f**2 + 6*f - 3. Let k(c) = -6*c**2 + 7*c - 3. Let n(u) = -4*j(u) + 3*k(u). Let g(q) = 17*q**2 - 8*q + 8. Give 3*g(r) - 8*n(r).
3*r**2
Let v(h) = h**3. Let f(n) = -7*n**3 - 14*n + 14. Let u(x) = 2*x**3 + 5*x - 5. Let s(c) = -5*f(c) - 14*u(c). Determine s(t) - 3*v(t).
4*t**3
Let u(a) = 5*a + 5. Let t(r) = -r**3 + 5*r**2 + 4*r - 7. Let m be t(5). Suppose 4*l + 4 = 4*y + 12, 3*l + 6 = y. Let b(d) = 11*d + 11. Give m*u(f) + y*b(f).
-f - 1
Let b be (-2 - -3 - 4)*-2. Let s(k) = 43*k + 45. Let r(t) = -11*t - 11. Let m(g) = 9*r(g) + 2*s(g). Let f(l) = 87 + 0*l - 82 + 7*l. Determine b*m(u) + 11*f(u).
-u + 1
Let r(y) = 31*y**2 - 4*y + 5. Let v(f) = 15*f**2 - 2*f + 2. What is 2*r(d) - 5*v(d)?
-13*d**2 + 2*d
Let y(l) = l**3 + 1. Let r(b) = -1 - b - 5*b**2 + 6*b**2 - 5*b**3 - b**2. Determine r(u) + 3*y(u).
-2*u**3 - u + 2
Let v be (-9)/6*84/(-9). Suppose -3*m + v + 10 = 0. Let q(l) = 2*l + 5. Let d(a) = a + 2. What is m*d(f) - 3*q(f)?
2*f + 1
Let q(z) = -4*z**2 - z + 1. Let o(x) = 12*x**2 + 3*x - 2. Determine 4*o(n) + 11*q(n).
4*n**2 + n + 3
Let w(h) = -24*h + 24. Let l(n) = 5*n - 5. Suppose -s = -d + 13, 0 = -4*s + 3*d - 52 - 1. Calculate s*l(v) - 3*w(v).
2*v - 2
Let z(d) = -d**3 - 4*d**2 + 8*d - 3. Let p(k) = 2*k**3 + 7*k**2 - 16*k + 5. Give -4*p(x) - 7*z(x).
-x**3 + 8*x + 1
Let l(b) = 4*b**3 + 2*b - 3. Suppose 13 = 5*p - 2. Let g(n) be the first derivative of 3 + 1/3*n**3 + 5/4*n**4 + 3/2*n**2 - 4*n. What is p*l(x) - 2*g(x)?
2*x**3 - 2*x**2 - 1
Let t(v) = 2*v. Let i be t(3). Let q(o) = -20 - 17 + 3*o + 45 + 3*o**2 - 14. Let h(c) = 4*c**2 + 4*c - 7. Calculate i*q(n) - 5*h(n).
-2*n**2 - 2*n - 1
Let p(c) = c - 1. Let d(a) = 24 + 2*a - 26 + 0*a. Determine -4*d(x) + 6*p(x).
-2*x + 2
Let l(w) = -11*w**2. Let f(t) = -6*t**2. Calculate -5*f(k) + 3*l(k).
-3*k**2
Let q(r) = -r - 1 - 4 - 2*r**3 + 5*r. Let s(a) be the second derivative of 0*a**4 + 1/4*a**5 + 11/2*a**2 + 5*a - 3/2*a**3 + 0. Calculate -9*q(h) - 4*s(h).
-2*h**3 + 1
Let n(o) = 3 - 2 - 1 + 3*o. Let u(h) = 4*h. Calculate -5*n(l) + 4*u(l).
l
Suppose 5*a = 4*v + 37, -6*a - 3*v + 16 = -a. Su