 1
Let l(z) = 4*z**3 + 10*z**2 - 6*z. Let o(a) = a**3 - a**2 - a. Give l(q) - 6*o(q).
-2*q**3 + 16*q**2
Suppose 0*l + 5*l = 20. Let j(r) = 9 + 6 - l - 5*r**2 - 2. Let c(w) = w**2 - 2. Calculate -9*c(h) - 2*j(h).
h**2
Let m(v) = 2*v**3 + 2*v**2 + 3*v. Let r(j) = 3*j**3 + 2*j**2 + 4*j. Suppose -1 = 2*s + 5*q, -5*q + 4 = s + 2. Determine s*r(a) + 4*m(a).
-a**3 + 2*a**2
Let l(a) = -7*a**3 - 1 + 0 + 5 + 3 + 7*a. Let y(z) = -8*z**3 + 8*z + 8. Determine -7*l(d) + 6*y(d).
d**3 - d - 1
Let l(j) = -2*j**2 - 3*j + 3. Let m(g) = -9*g + 1. Let b(r) = r**2 - r - 1. Let a(q) = 4*b(q) - m(q). Give -3*a(i) - 5*l(i).
-2*i**2
Let r(g) = -6*g**2 + 22*g + 7. Let d(k) = 2*k**2 - 7*k - 2. What is 7*d(n) + 2*r(n)?
2*n**2 - 5*n
Let g(u) be the second derivative of u**4/6 + u**3 - u**2/2 + 15*u. Let t(j) = -1. Let m(o) = -o - 2. Let q(r) = -m(r) + 2*t(r). What is -g(p) + 4*q(p)?
-2*p**2 - 2*p + 1
Let s(n) = -21*n + 13. Let x(q) = -5*q + 3. Calculate -6*s(o) + 26*x(o).
-4*o
Let y(w) = 3*w**2 + 17*w + 3. Let d(q) = -q**2 - 6*q - 1. Calculate 11*d(m) + 4*y(m).
m**2 + 2*m + 1
Let p(g) = g**3 + 2*g**2 + 3*g - 4. Let u(d) = -d**3 - 3*d**2 - 3*d + 4. What is -3*p(t) - 2*u(t)?
-t**3 - 3*t + 4
Let o(s) = -s**3 - s**2 + s - 1. Let n(y) = 12*y**2 - 12*y + 12. Calculate -n(f) - 12*o(f).
12*f**3
Let c(n) = 5*n**2 - n. Let i(x) = -5 + 11*x**2 + 5 - 3*x. Suppose 15*o - 4*o = -33. Calculate o*i(d) + 7*c(d).
2*d**2 + 2*d
Let l(h) = h**3 + 3*h**2 - h - 4. Let w(x) = 3*x**3 + 8*x**2 - 2*x - 11. What is 8*l(t) - 3*w(t)?
-t**3 - 2*t + 1
Let c(k) = -2*k**2 - 3*k. Let l(t) be the second derivative of t**4/6 + t**3/3 + 9*t. Determine 4*c(b) + 6*l(b).
4*b**2
Let v(p) = -1723 + p**3 + 1723 - 2*p + 2*p**2. Let d(y) = -6*y**3 - 15*y**2 + 15*y. Determine -2*d(r) - 15*v(r).
-3*r**3
Let n(v) = 15*v. Let m(x) = x - 1. Let b(h) = 12*h - 14. Let d(s) = -2*b(s) + 28*m(s). Calculate -22*d(p) + 6*n(p).
2*p
Let x(p) = 53*p**3 - 9*p**2 - 9*p + 9. Let l(u) = 13*u**3 - 2*u**2 - 2*u + 2. Determine 9*l(t) - 2*x(t).
11*t**3
Let a(x) = -9*x**3 + 5*x**2 - 11*x + 7. Let o = 20 + -24. Let q(h) = 5*h**3 - 3*h**2 + 6*h - 4. Calculate o*a(z) - 7*q(z).
z**3 + z**2 + 2*z
Let k(v) = -3*v**2 - 7*v - 7. Let a(r) be the first derivative of -2*r**2 - 2/3*r**3 - 4*r - 5. Give -7*a(p) + 4*k(p).
2*p**2
Let b(q) be the second derivative of -3/20*q**5 + 0*q**2 - 1/6*q**4 + 0 - 3*q - 1/6*q**3. Let t(w) = 7*w**3 + 4*w**2 + 2*w. Determine -9*b(o) - 4*t(o).
-o**3 + 2*o**2 + o
Let y(n) = -n + 3. Let r(p) = -9 + 4*p + p - 7. Suppose -10 = -3*t - 2*a, 2*t + 4*a - 4 = 8. What is t*r(j) + 11*y(j)?
-j + 1
Let i(p) = -4*p - 1. Let o(v) = -v + 5. Let w be o(10). Let d(x) = 3*x + 1. What is w*i(y) - 6*d(y)?
2*y - 1
Let v(j) = j**3 + j**2 + j. Let b(s) = -4*s**3 - 4*s**2 - 5*s + 3. Calculate b(h) + 6*v(h).
2*h**3 + 2*h**2 + h + 3
Let h(l) = l**2 + l. Let g(a) be the first derivative of -5*a**3/3 - 3*a**2 + 2. Suppose 2 = -x + 1. Give x*g(t) - 6*h(t).
-t**2
Let g(r) = 2*r**3 - 6*r**2 + r. Let o(b) = b**2 - b. Calculate g(w) + 6*o(w).
2*w**3 - 5*w
Let f(q) = -4*q + 117. Let v(w) = 2*w - 58. Determine 2*f(l) + 5*v(l).
2*l - 56
Let r(i) be the third derivative of 7*i**4/24 - i**3 + i**2. Let z(v) be the second derivative of -v**3 + 5*v**2/2 - 237*v. What is 5*r(d) + 6*z(d)?
-d
Let z(k) be the third derivative of 1/6*k**3 + 1/12*k**4 - 1/15*k**5 + 0*k + 0 + 4*k**2. Let m(l) = 5*l**2 - 2*l - 1. Give -6*m(x) - 7*z(x).
-2*x**2 - 2*x - 1
Let j(y) = -y - 1. Let b(l) = 8*l + 3. Let x(v) = 9*v + 3. Let p(q) = -5*b(q) + 4*x(q). Suppose 4*z + 5*k = 14 - 2, -2*k + 12 = -2*z. Determine z*j(c) + p(c).
-2*c - 1
Let t(i) = -11*i**2 - 5. Let x(m) = -27*m**2 - 12. Let k = -1 - -13. Calculate k*t(v) - 5*x(v).
3*v**2
Let g(s) = -s**2 + 2*s + 2. Let q(m) = -m**2 + 3*m + 3. Let b(c) = -5*g(c) + 2*q(c). Let a(w) = 2*w**2 - 3*w - 3. Let r = 4 - 1. Determine r*b(k) - 4*a(k).
k**2
Let z(w) be the first derivative of -6 + 7/2*w**2 - 5*w. Let l(p) = -3*p + 2. Give -15*l(b) - 6*z(b).
3*b
Let i(r) = 4*r - 1. Let d be 23/(-4) - 63/(-84). Let v(c) = -c. Calculate d*v(u) - i(u).
u + 1
Let b be (-4 - -1) + 7 + 1. Let x(t) = -t**2 + 6 - 4*t**2 + 6*t**2 - b*t**2. Let q(o) = -3*o**2 + 5. Let y be -5 - (1 + -1)/1. Calculate y*x(l) + 6*q(l).
2*l**2
Let u be 18/(-3) + 3/3. Let n(c) = -c + 1. Let z(f) = -8*f + 7. What is u*n(m) + z(m)?
-3*m + 2
Let d(t) = 4*t**2 - 2*t - 4. Let k(x) = x**2. Determine d(f) - 2*k(f).
2*f**2 - 2*f - 4
Let a(m) = -3*m**2 - 18*m + 3. Let s(r) = -4*r**2 - 19*r + 4. Determine 5*a(n) - 4*s(n).
n**2 - 14*n - 1
Let w(g) be the third derivative of 7*g**4/24 + g**3 + 28*g**2. Let i(z) = -13*z - 11. Let j be 1/2*12/1. What is j*i(d) + 11*w(d)?
-d
Let w(f) = -f - 5. Let h(a) = a**2 + 4*a - 43. Let n be h(6). Let k(u) = -3*u - 14. Determine n*w(q) - 6*k(q).
q - 1
Let k(d) = 6*d**2 + 5*d - 5. Let m(f) = -f**2 - f + 1. Let h(i) = -3*i + 4. Let s be h(2). Calculate s*k(c) - 10*m(c).
-2*c**2
Let n(o) = -o**3 - 8*o**2 - 5. Let m(k) = -3*k**3 - 23*k**2 - 14. Let r = 6 + -6. Let d be (1 - -2)*(r - -1). Suppose d*f + 29 = -22. What is f*n(a) + 6*m(a)?
-a**3 - 2*a**2 + 1
Let v(d) = 6*d**2 - 3*d - 2. Let g(x) = 6*x**2 - 3*x - 2. What is -6*g(y) + 5*v(y)?
-6*y**2 + 3*y + 2
Let b be -1*4*18/72. Let d(p) = 2*p**2 - 2*p - 5. Let w(x) = x + 1. Calculate b*d(r) - 3*w(r).
-2*r**2 - r + 2
Let g(d) = -d + 1. Let m(l) = 9*l - 5. Calculate 4*g(j) + m(j).
5*j - 1
Let o(r) = -2*r - 3. Let v(n) = -8*n - 11. Let s(c) = 9*o(c) - 2*v(c). Let l(t) = t + 4. What is -3*l(i) - 2*s(i)?
i - 2
Let x(m) = -9*m. Let d(y) = 10*y + 1. What is 3*d(c) + 2*x(c)?
12*c + 3
Let j = -8 + 5. Let y be j - 0/(-3) - -10. Let k(v) = -8*v**2. Let r(w) = -7*w**2. What is y*r(h) - 6*k(h)?
-h**2
Let c(n) = 9*n + 14. Let u(i) = 5*i + 7. What is -3*c(s) + 5*u(s)?
-2*s - 7
Let f be 0/(-1*2) - -2. Let n(h) be the second derivative of h**2/2 - 11*h. Let w(b) = 5 + 1 + b - 2 - 2. Determine f*w(y) - 4*n(y).
2*y
Let z(b) = -b + 7. Let y be z(4). Let c(n) = 5*n**3 + 3*n**2 - 3*n - 3. Let i(q) = q**3 + q**2 - 1. What is y*i(o) - c(o)?
-2*o**3 + 3*o
Let d(a) = 3*a + 4. Let g(y) = 4. Let t(n) = 1. Let q(l) = -g(l) + 3*t(l). Determine d(k) + 6*q(k).
3*k - 2
Let w(n) = -18*n**2 - 5. Let h(d) = 667*d**2 + 184. Calculate 5*h(s) + 184*w(s).
23*s**2
Let r(b) = 2*b - 3. Let g(i) be the first derivative of i - 3 - 1/2*i**2. Determine 3*g(q) + r(q).
-q
Let u(i) = 3*i - 17. Let j(r) = 2*r - 9. Calculate -7*j(y) + 4*u(y).
-2*y - 5
Suppose 4*c + 15 = s, 3*c + s = -4*s + 6. Let d(u) = -u + 1. Let l(n) = -n**2 - 3*n + 4. What is c*d(w) + l(w)?
-w**2 + 1
Let p(c) = -7*c**3 - 17*c + 9. Let h(m) be the first derivative of 3*m**4/4 + 4*m**2 - 4*m - 10. Give -9*h(q) - 4*p(q).
q**3 - 4*q
Let d(g) be the second derivative of g**5/5 - 2*g. Suppose x + 0 = -2. Suppose -w + 7 = -0. Let a(r) = r**3. Calculate w*a(u) + x*d(u).
-u**3
Let c(a) = 5*a**2 + 9*a + 3. Let s(p) = 7*p**2 + 14*p + 5. Let m(b) = 8*c(b) - 5*s(b). Let o(j) = j**2 + j. Determine -m(n) + 2*o(n).
-3*n**2 + 1
Let m(l) = 33*l - 28. Let j(y) = -11*y + 9. Let n(g) = -7*j(g) - 2*m(g). Let v(k) = -6*k + 4. Suppose 0 = 5*s - 2*s + 21. Calculate s*v(f) - 4*n(f).
-2*f
Let z = -5 + 17. Let g = z - 7. Let w = -1 - g. Let x(n) = 3*n + 17. Let t(r) = r + 6. Determine w*x(m) + 17*t(m).
-m
Let q(h) = 3*h**2 + 14*h - 29. Let f(l) = -l**2 - 5*l + 10. Determine -17*f(u) - 6*q(u).
-u**2 + u + 4
Suppose -4*f + 0*f + 32 = 0. Let z(a) be the second derivative of a**5/10 - a**4/4 - a**3/3 - 4*a. Let x(d) = 5*d**3 - 8*d**2 - 5*d. Give f*z(k) - 3*x(k).
k**3 - k
Let l(i) = -i - 3. Let b(d) = -2*d - 9. Calculate 3*b(q) - 8*l(q).
2*q - 3
Let x(z) = -z + 1. Let h(a) = 7*a - 4*a - 5 + 3*a. Calculate -2*h(m) - 11*x(m).
-m - 1
Let o(v) = v**2 - 1. Let i(b) = -5*b**2 + 2*b - 6. Calculate -i(m) + 4*o(m).
9*m**2 - 2*m + 2
Let g(c) = -7*c**3 - 2*c**2 - 6*c + 6. Let h(b) = b**3 + b - 1. Suppose 2*x = -5*a - 21, a = -6 + 1. Let v be ((-1)/x)/((-5)/(-10)). Give v*g(r) - 6*h(r).
r**3 + 2*r**2
Let y(n) = -11*n**3 + 6*n**2 - 4*n + 6. Let z(i) = i**2 - i + 1. What is y(u) - 6*z(u)?
-11*u**3 + 2*u
Let b(h) = 3*h**2 - 5*h - 3. Let y(x) be the second derivative of -2*x**4/3 + 7*x**3/3 + 4*x**2 - 8*x. What is 14*b(v) + 5*y(v)?
2*v**2 - 2
Let s(z) = z + z + 0*z - 3*z. Let i(c) = 11. Let l(p) = 6. Let u(b) = 4*i(b) - 7*l(b). What is -2