- 6
Let i(p) = 4*p**3 + 5*p. Let s(g) = -g**2 - 4*g - 3. Let q be s(-2). Let v(o) = o**3 + o. Let w(a) = -a**2 - 9*a - 2. Let d be w(-9). Calculate d*v(r) + q*i(r).
2*r**3 + 3*r
Let s(b) = b**2 - 1. Let v(a) be the third derivative of -a**6/180 - a**3/6 + a**2. Let u(m) be the first derivative of v(m). What is -s(x) - u(x)?
x**2 + 1
Let z(u) = -u. Let p(j) = 23*j**2 + 5*j - 17. Let n(s) = -p(s) - 5*z(s). Let i(m) = m + 1. Let h be i(5). Let l(x) = -4*x**2 + 3. What is h*n(d) - 34*l(d)?
-2*d**2
Let w(p) = p - 4. Let l be w(3). Let g(b) = -1. Let q(y) = -y. Let m(u) = g(u) + q(u). Let s(c) = 1. Determine l*s(n) - m(n).
n
Let r(n) = 2*n**2 - n - 3. Let z(h) = h**2 + 1. Let d(u) = u**2 - u - 3. Let t(f) = -d(f) - z(f). What is -4*r(o) - 5*t(o)?
2*o**2 - o + 2
Let t(x) = -2*x - 11. Let o be t(-8). Let s(r) = -r**3 - 2*r**2 - 2*r + 1. Let w(q) = -5*q**2 - 2*q**3 - 5 - 5 - 5*q + 12. Calculate o*s(n) - 2*w(n).
-n**3 + 1
Let y = 3 - 7. Let m(j) be the second derivative of j**2/2 + j. Suppose n = a + 3, 1 + 3 = 4*n - 2*a. Let c(p) = 2*p - 2. Determine n*c(x) + y*m(x).
-2*x - 2
Let v(n) = -2*n**2 + 6. Let z(b) = -4*b**2 + 11. Suppose -4*x + 6*x - 2*r = -32, -37 = 2*x - 3*r. Let o = -1 - -7. Calculate o*z(y) + x*v(y).
-2*y**2
Let f(p) = 3*p**3 - 7*p + 11. Let d(w) = 2*w**3 - 5*w + 7. Calculate 7*d(i) - 5*f(i).
-i**3 - 6
Let k = 26 + -20. Let y(x) = 8*x**3 + 6*x**2 - 6. Let a(b) be the third derivative of b**6/120 + b**5/60 - b**3/6 - 3*b**2. Determine k*a(f) - y(f).
-2*f**3
Suppose -o + 4*b + 9 = 0, -4*o - 4*b - 6 - 18 = 0. Let f(y) = 6*y - 4. Let t(i) = -1 - 1 + 9*i - 1 - 4*i. Determine o*f(q) + 4*t(q).
2*q
Let j(r) = 3 + 0*r - 3*r - 4*r**3 - 9*r**3 - 10*r**3 - 17*r**2. Let a(l) = 8*l**3 + 6*l**2 + l - 1. Give 17*a(h) + 6*j(h).
-2*h**3 - h + 1
Let l(w) = -3*w**2 - 1 + 0 + w**2 - 1. Let d(r) = 5*r**2 + 5. What is -6*d(p) - 14*l(p)?
-2*p**2 - 2
Let y(l) = 0*l - l - 20 + 20. Let p(b) = 5*b - 1. Determine -p(s) - 3*y(s).
-2*s + 1
Let y(r) = -6*r - 4*r + r**3 - 5*r**2 + r + 4*r - 5. Let l(n) = -n**3 + 8*n**2 + 8*n + 8. Give 5*l(o) + 8*y(o).
3*o**3
Let r(m) = m - 5. Let x be r(9). Suppose -4*f - 9 = 4*b + b, x*b = 2*f - 28. Let i(d) = -d**2 + 2*d - 6. Let p(a) = -1. Calculate f*p(v) - i(v).
v**2 - 2*v + 2
Let u(x) = x**2 - x - 1. Let j(i) be the second derivative of -i**4/6 + 7*i**3/6 + 7*i**2/2 - 10*i. Calculate j(c) + 5*u(c).
3*c**2 + 2*c + 2
Let q(o) = -2*o**3 - 4*o**2. Let x(s) = -3*s**2 + 6 - 15 - 2*s**3 + 9. Determine -3*q(d) + 4*x(d).
-2*d**3
Let v(k) be the second derivative of 23*k**3/6 + 9*k**2/2 + 3*k. Let x(o) = -8*o - 3. What is 6*v(j) + 17*x(j)?
2*j + 3
Let u(q) = -3*q**2 - 2*q. Let g(a) = -2*a**2 + 11*a + 13. Let f(w) = -w**2 + 5*w + 6. Let i(d) = 13*f(d) - 6*g(d). Calculate -2*i(h) + u(h).
-h**2
Let k(u) = 6 + 2*u + 5 - 7 + 10. Let v(q) = q + 9. What is -5*k(o) + 8*v(o)?
-2*o + 2
Let h(v) = 2*v + 1. Let f be (-10)/(-4) + (-2)/4. Let x(z) = 2*z + f - 4 + 3. Suppose -4*o - 18 = -o. Determine o*x(d) + 5*h(d).
-2*d - 1
Let i(b) = 5*b**3 + 3*b**2 - 2*b - 1. Let u be (-32)/(-12) - (-4)/(-6). Let h(o) = -4*o**3 - 4*o**2 - 3*o**3 + o**3 + 3*o - u + 4. Determine -3*h(q) - 4*i(q).
-2*q**3 - q - 2
Let h be (3/(-3))/(5/(-5)). Let k(b) = -3*b**3 + 3*b**2 + 2*b + 5. Let y(c) = c**3 - c**2 - c - 1. Give h*k(l) + 5*y(l).
2*l**3 - 2*l**2 - 3*l
Let h(w) = -3*w - 1. Let d(l) = l. Let u(s) = s**2 + 3*s. Let r = -7 + 3. Let x be u(r). Determine x*d(c) + h(c).
c - 1
Let x(o) = 3*o - 1. Let d(j) = -5*j + 2. Determine -5*d(h) - 8*x(h).
h - 2
Let z(r) = -6*r**3 + 4*r**2 - 4*r. Let l(k) = k**3 - k**2 + k. Let h = 0 + -11. Let j(f) = f + 15. Let t be j(h). What is t*l(m) + z(m)?
-2*m**3
Let z = -24 - -21. Let u(t) = -9*t**3 + 5*t**2 + 7. Let w(b) = 4*b**3 - 2*b**2 - 3. Calculate z*u(q) - 7*w(q).
-q**3 - q**2
Let t(h) = h**2 - h - 5. Let d(p) = -p**2 + 1. Suppose 48 = -11*w + 15. What is w*d(s) - t(s)?
2*s**2 + s + 2
Let t(r) = -12*r - 2. Let u(j) = 25*j + 3. Determine 5*t(o) + 3*u(o).
15*o - 1
Let q(p) = p. Let b(t) = 3*t**3 - 18*t. Give -b(w) - 18*q(w).
-3*w**3
Let a(n) = 2*n**2 + 5*n - 5. Let i(s) be the first derivative of -s**3/3 - 2*s**2 + 4*s - 7. Give -2*a(p) - 3*i(p).
-p**2 + 2*p - 2
Let y(f) = -8*f**3 + f. Let a be y(1). Let i(s) = -4*s + 1. Let d be -3 + 1 + 10/2. Let u(x) = 2*x - 12*x + 2 + x. Determine a*i(c) + d*u(c).
c - 1
Let s(k) = 13*k + 13. Let p(i) = -i**3 - 5*i**2 + 5. Let u be p(-5). Let v = -15 - -28. Let a = 6 - v. Let f(z) = 9*z + 9. Determine a*f(q) + u*s(q).
2*q + 2
Let m(y) = -y - 1. Let c(n) = -28*n - 20. Give -c(r) + 24*m(r).
4*r - 4
Let c(i) = i**3 + 2. Let u = -2 + 0. Let x = -5 - -7. Let t(s) = -4*s**3 - 9 - s**x + s**2. Calculate u*t(b) - 9*c(b).
-b**3
Let f(x) be the first derivative of -x**2/2 - 3*x + 2. Let o(c) = 2*c + 6. Let z be (2/(-4))/((-18)/(-108)). Determine z*o(s) - 7*f(s).
s + 3
Let u(t) = -t**2 - 4*t + 2. Let b(l) = l - 1. Let o = 100 + -101. Determine o*u(s) - 3*b(s).
s**2 + s + 1
Let c(a) = 21*a - 9. Let k(p) = -5*p + 2. Let g be (-2)/(-5) + 84/15. Give g*c(j) + 26*k(j).
-4*j - 2
Let o(r) = -3*r**2 - 2*r + 2. Let p(a) = -2*a**2 - 3*a + 3. Give 4*o(l) - 3*p(l).
-6*l**2 + l - 1
Let g(k) = -4*k**2 - 5*k - 6. Let l(y) be the first derivative of -y**3 - 2*y**2 - 5*y - 6. What is 4*g(b) - 5*l(b)?
-b**2 + 1
Suppose 0 = 2*w + 5 - 3. Let d(n) = n + 1 + n**3 - 2*n - 2 + n**2. Let m be 5*1/(-3)*-3. Let r(f) = 4*f**3 + 5*f**2 - 5*f - 5. Calculate m*d(z) + w*r(z).
z**3
Let n(f) = f + 1. Let w(t) = t + 1. Let h(p) = 7*n(p) - 6*w(p). Let s(z) = -7*z - 3. Calculate 3*h(r) + s(r).
-4*r
Let k(r) = -3*r - 1. Let b(v) = -v - 1. Let d(y) = -y + 8. Let g be d(3). Determine g*b(m) - 2*k(m).
m - 3
Let b(u) = 4*u**2 - 9*u. Suppose -2*r + l = -2, 0*l = l. Let w(i) = i**2 - i. Determine r*b(x) - 6*w(x).
-2*x**2 - 3*x
Let i(g) = 1456*g**3 + 169*g**2. Let d(j) = 26*j**3 + 3*j**2. Determine 338*d(s) - 6*i(s).
52*s**3
Let f(h) = -1. Let d(y) be the second derivative of -y**3/6 - y**2/2 - 28*y. Determine -2*d(b) + 2*f(b).
2*b
Let n(h) = -277 - 9*h + 277 - 13*h**3. Let c(u) = -3*u**3 - 2*u. Let k(p) = 2*p + 2*p - 3*p - 11. Let r be k(9). What is r*n(t) + 9*c(t)?
-t**3
Let t(q) = q**2 - 4*q - 4. Let r(y) = -6*y**2 + 27*y + 27. Suppose 5*x = 2*n - 0*n + 24, -3*n = 6. Determine x*r(z) + 27*t(z).
3*z**2
Let c(p) = 14*p**2 - 21. Let d(b) = -5*b**2 + 7. What is 4*c(a) + 11*d(a)?
a**2 - 7
Let a(v) = -4*v**2 - 3*v + 3. Let h(t) = 12*t**2 - 16 + 16*t + 13*t**2 - 15*t**2 + 10*t**2. Determine 16*a(w) + 3*h(w).
-4*w**2
Let f(r) = 6*r**3 + 11*r - 3. Let z(u) = u**3 - 9*u**2 - 10*u + 4. Let c be z(10). Let l(p) = 2*p**3 + 4*p - 1. Give c*f(n) - 11*l(n).
2*n**3 - 1
Let m(x) = 41*x + 3. Let g(i) = 41*i + 4. What is 4*g(y) - 5*m(y)?
-41*y + 1
Let p(d) = -3*d + 1. Let z(a) = 7*a - 2. Give 7*p(k) + 4*z(k).
7*k - 1
Let g(u) = -2*u - 1. Let o(v) be the third derivative of -v**4/12 - v**3/6 + v**2 - 5*v. Calculate 6*g(x) - 5*o(x).
-2*x - 1
Let c(w) = -w**2 + 7*w + 16. Let m be c(9). Let s(v) = -v**3 + v**2 - 2. Let g(f) = -3*f**3 + 4*f**2 - 7. Calculate m*g(i) + 7*s(i).
-i**3 - i**2
Let t(c) = c**3 + 2*c**2 + 2*c - 2. Let s(p) = -p**3 - p**2 - p**2 + 4*p**2 - p + 2*p. Let k be s(-1). Let y(r) = r**2 + r - 1. Determine k*y(a) - t(a).
-a**3
Let o(w) = -7*w - 5. Let u(m) be the third derivative of m**3 + 0*m + 0 + m**2 + 1/3*m**4. Calculate -6*o(p) - 5*u(p).
2*p
Let t(b) = b - 1. Let k(o) be the first derivative of 1/2*o**2 - o + 5. What is 4*k(h) - 3*t(h)?
h - 1
Let m(w) = -10*w + 7. Let o(r) = 3*r - 2. Let d(v) = 2*m(v) + 7*o(v). Let t(z) = 3*z + 1. Let q(n) = -n + 16. Let u be q(11). What is u*d(h) - t(h)?
2*h - 1
Let p(b) = 4*b**2 - 13. Let f(y) = -2*y**2 + 6. Let d = -7 - -2. Give d*f(t) - 2*p(t).
2*t**2 - 4
Let q(n) = 10*n**2. Let d(k) = k**2. Give 22*d(r) - 2*q(r).
2*r**2
Let l(a) = 17*a - 7. Let h(v) be the third derivative of -v**4/3 + v**3/2 + 17*v**2. What is -7*h(f) - 3*l(f)?
5*f
Let b(z) = -2*z + 14. Let m(r) = r - 7. What is -6*b(h) - 13*m(h)?
-h + 7
Let k(m) = -m**2 - m. Let c(o) = -48*o**2 - 44*o. Let z(a) = 2*c(a) - 88*k(a). Let v(j) = j**2. Calculate -28*v(f) - 4*z(f).
4*f**2
Let x = -13 - -20. Let g(r) = -2*r + 8. Let i be g(x). Let y(w) = 2*w - 11. Let t(c) = -c + 6. Let p = 17 - 28. Determine i*y(h) + p*t(h).
-h
Let n(t) = 7*t + 1. Let w(g) = 2*g**3 + 5*