is -8*f(y) + 3*r(y)?
2*y**2 - y + 6
Let w(d) = d**2 + 5*d - 3*d + 3 - 1. Let k(y) = -y**2 - 3*y - 3. What is 2*k(z) + 3*w(z)?
z**2
Let c be -1*(2/1 + -24). Let y(u) = -15*u - 1 + 1. Let a(o) = -4*o. Determine c*a(v) - 6*y(v).
2*v
Let s(o) = -5*o**2 + 9*o - 7. Let j(c) = -2*c**2 + 4*c - 3. Let l = -56 + 70. Give l*j(h) - 6*s(h).
2*h**2 + 2*h
Let v(c) = -2*c**3 - 4*c**2 - 5*c + 2. Let p(q) = -3*q**3 - 7*q**2 - 10*q + 4. What is 3*p(z) - 5*v(z)?
z**3 - z**2 - 5*z + 2
Suppose -5*t + 4*z = -95, -2*t + 2*z + 38 = z. Suppose -1 = 3*p - t. Let c(l) = -19*l + 6 - 15*l + 26*l. Let s(y) = 17*y - 13. What is p*s(j) + 13*c(j)?
-2*j
Let q(x) = 5*x + 24. Let k be q(-9). Let a(r) = -2*r**3 - 5. Let h(b) = 9*b**3 + 21. Give k*a(w) - 5*h(w).
-3*w**3
Let x(w) = -w - 2. Let a(q) = q**3 - 9*q**2 + 9*q - 2. Let p be a(8). Let s(i) = -5*i - 11. Determine p*s(t) - 33*x(t).
3*t
Let o(b) = -b**2 + 4*b - 19. Let h(a) = -2*a + 10. Determine -5*h(y) - 2*o(y).
2*y**2 + 2*y - 12
Let b(o) = -3*o**3 - 2*o**2 + 2. Let h(n) be the third derivative of n**6/120 + n**5/60 - n**3/6 + n**2. Determine 3*b(l) + 6*h(l).
-3*l**3
Let s(n) = -8*n**3 - 9*n**2 - 6*n + 6. Let k(r) = 7*r**3 + 8*r**2 + 6*r - 5. What is -7*k(m) - 6*s(m)?
-m**3 - 2*m**2 - 6*m - 1
Let i(c) = -2*c**2 + 5*c + 2. Let a(z) = z**3 + z**2 - z - 1. Let s be 3/6 + 5/10. Give s*i(x) + 2*a(x).
2*x**3 + 3*x
Let m(y) = 3*y + 7. Let x(c) = -c**2 - 8*c + 2. Let l be x(-6). Let s be ((-35)/l)/((-1)/(-2)). Let b(i) = i + 3. Determine s*b(r) + 2*m(r).
r - 1
Let f(s) = 25*s + 20. Let n(k) = -1. Determine -f(j) - 20*n(j).
-25*j
Let s(p) = 4*p**3 + p - 4. Let b(a) = 3*a**3 + a - 3. Let t = 20 - 4. Suppose 4*d - 21 = -3*q, -4*d - 2*q + 2 = -t. Calculate d*b(g) - 2*s(g).
g**3 + g - 1
Let s(j) = -j + 1. Let f(q) = 4*q - 1. Let u = 20 + -22. Let w = 1 + -2. What is u*s(y) + w*f(y)?
-2*y - 1
Let r = -1 + -6. Let n(d) = -4*d**2 + 7 + 0*d + 5*d**3 - 7*d - d**3. Let t = -1 + -4. Let v(a) = -3*a**3 + 3*a**2 + 5*a - 5. Give r*v(h) + t*n(h).
h**3 - h**2
Let y(x) = 591*x**3. Let d(n) = -59*n**3. What is -21*d(o) - 2*y(o)?
57*o**3
Let m(l) = -l**2 - 9*l - 5. Let j = 30 - 28. Let y(x) = -2*x - 1. What is j*m(q) - 9*y(q)?
-2*q**2 - 1
Let o(t) = -15*t**3 + 6*t. Let l(i) = 15*i**3 - 5*i. What is -6*l(w) - 5*o(w)?
-15*w**3
Let r(b) = b. Let n(c) = -18*c - 3*c**2 + 3*c**2 - 3*c**2. Calculate -n(v) - 18*r(v).
3*v**2
Let y(x) = 16*x**2 - 7. Let d(m) = 5*m**2 - 2. Calculate -21*d(i) + 6*y(i).
-9*i**2
Let p(j) = 4*j**2 + j + 1. Let c(t) = -3*t**2. Suppose 0*h - y = -2*h, 3*y + 14 = -h. Give h*p(a) - 3*c(a).
a**2 - 2*a - 2
Let y(m) = 16*m + 12. Let f(b) = -3*b + 4. Let l(h) = h - 1. Let v(d) = -2*f(d) - 7*l(d). What is -12*v(z) - y(z)?
-4*z
Let x(u) = -2*u + 2. Let g(z) be the second derivative of 5*z**4/24 - z**3 - 5*z**2/2 + 5*z. Let s(d) be the first derivative of g(d). What is 3*s(j) + 8*x(j)?
-j - 2
Let v(r) = -3*r**2 - r - 3. Let t(i) = -i**3 + i**2 + 1. Determine 6*t(q) + 2*v(q).
-6*q**3 - 2*q
Let p = -77 - -72. Let o(i) = -i**2 + 5*i. Let a(m) = -m**2 + 2*m. Calculate p*a(s) + 2*o(s).
3*s**2
Let p(a) be the first derivative of a**3/3 - a**2/2 - a - 1. Let o(j) = -12*j**2 + 10*j + 10. Calculate o(k) + 10*p(k).
-2*k**2
Let m(g) = -6*g**3 - 8*g**2 + 11*g. Let n(k) = 2*k**3 + 3*k**2 - 4*k. Determine 4*m(j) + 11*n(j).
-2*j**3 + j**2
Let n(u) = -180*u**3 - 162*u. Let k(j) = -j**3 - j. Calculate -324*k(x) + 2*n(x).
-36*x**3
Let m(k) = -40*k**3 - 55. Let d(l) = l**3 + 1. Calculate -110*d(c) - 2*m(c).
-30*c**3
Let r(d) = d + 1. Let h be r(5). Let o = 0 - h. Let f(s) = 2*s**2 + 2*s + 11. Suppose 5*u + 17 = -38. Let i(n) = -n**2 - n - 6. Give o*f(y) + u*i(y).
-y**2 - y
Let x(j) = -4*j**2 - 11*j - 2. Let h(t) be the second derivative of t**4/6 + 5*t**3/6 + t**2/2 - 3*t + 7. What is -9*h(l) - 4*x(l)?
-2*l**2 - l - 1
Let g(r) be the first derivative of 7*r**4/4 + 4*r**2 - r + 5. Let a(d) = -20*d**3 - 23*d + 3. Let k = 11 - 28. What is k*g(z) - 6*a(z)?
z**3 + 2*z - 1
Suppose 26 + 10 = -6*l. Let n(m) = 4*m**3 + m**2 - 6. Let u(w) = -3*w**3 - w**2 + 5. What is l*u(x) - 5*n(x)?
-2*x**3 + x**2
Let f = -10 - -16. Let c(x) = 8*x**2 - x + 2. Let k(n) = 3*n - 16 - 7*n**2 - 2*n + 14. Calculate f*c(t) + 7*k(t).
-t**2 + t - 2
Let g(c) = -3*c**2 - 2*c - 1. Let k = 6 - 0. Let l(p) = 5*p**2 + k - 4 + p + 3*p. Calculate -7*g(t) - 4*l(t).
t**2 - 2*t - 1
Let j be (8/4 - 3) + 6. Suppose 0 = j*w - w + 88. Let u(i) = -4*i**3 + 3*i**2 + 2*i. Let f(n) = -15*n**3 + 11*n**2 + 7*n. What is w*u(t) + 6*f(t)?
-2*t**3 - 2*t
Let l = 16 - 21. Let d(u) = 3*u + 5. Let p be 32/6 - 2/6. Suppose v = 5*x - 2*v - 7, -4*x + 3 = -p*v. Let i(b) = b + 2. What is l*i(f) + x*d(f)?
f
Let m(c) = 2*c**3 + 3*c**2 - 3*c - 1. Let y(g) = 4*g**3 + 5*g**2 - 5*g - 2. Calculate 5*m(d) - 3*y(d).
-2*d**3 + 1
Let r(t) = t**2 + 4*t + 5. Let v(k) = k. What is -r(n) + 6*v(n)?
-n**2 + 2*n - 5
Suppose 6 = -3*u + 6*u. Suppose -u*f = f - 12. Let q(k) = 5*k**3 + 4*k**2 + 4. Let i(p) = 4*p**3 + 3*p**2 + 3. Give f*i(a) - 3*q(a).
a**3
Let c(j) = j**2. Let k(m) = 7*m - 7*m + m + 4*m**2. Let l(b) = -3*c(b) + k(b). Let x(w) = -w**2 - w. Give -5*l(n) - 6*x(n).
n**2 + n
Let d(u) = -7*u**3 + 5*u**2 - u + 4. Let i(c) = 11*c**3 - 8*c**2 + 2*c - 6. Let m(a) = -8*d(a) - 5*i(a). Let v(h) = -5*h**3 + 9*h + 9. Give 9*m(x) + 2*v(x).
-x**3
Let l(a) = -a**3 - a**2 + a. Let w(u) = 8*u**3 + 5*u**2 - 6*u. Determine 6*l(s) + w(s).
2*s**3 - s**2
Let w(v) = -v**3 - 2*v**2 + 3*v + 1. Let a be w(-3). Let f(k) = 2*k**2 + 2. Let l(d) = 1. Suppose -3*i - 1 = 5. Determine a*f(m) + i*l(m).
2*m**2
Let j(p) = 4*p**3 + 2*p**2 + 2*p + 2. Suppose -5*f - 2*l = -8, 2*l - 4 = -0*f - 3*f. Let n(v) = -v**3 + v**2 + v + 1. Calculate f*n(w) - j(w).
-6*w**3
Let w = 17 - 18. Let x(g) = 3*g**2 + g - 1. Let v(n) = -n + 1. Determine w*v(i) - x(i).
-3*i**2
Let a(x) = 1. Let g(j) = 2*j + 12 - 10 + 8. Give -10*a(w) + g(w).
2*w
Let y(v) = 2*v**3 - v**2 + 3*v. Let c be -3 - (1 - (3 + 3)). Let o(r) = r - r - 3*r + 5*r**3 - c*r**2 + 10*r. Determine 6*o(f) - 14*y(f).
2*f**3 + 2*f**2
Let g(r) = 5*r + 8. Let z(i) = 3*i + 5. Suppose 30 = 2*v + 4*u, -4*v - v + 5 = -4*u. Calculate v*g(d) - 8*z(d).
d
Let r(n) = -13*n**3 + 5*n**2 - 2*n + 5. Let i(h) = 6*h**3 - 2*h**2 + h - 2. Calculate -5*i(k) - 2*r(k).
-4*k**3 - k
Let n(b) = b - 1. Let g(q) = -14*q + 1. Determine g(x) + n(x).
-13*x
Let c(s) = -s**3 + s**2 + 1. Let a(w) = -59*w**3 + 30*w**3 - 5*w**2 - 5 - 3*w + 32*w**3. Calculate a(r) + 5*c(r).
-2*r**3 - 3*r
Suppose 5*w + 5*b = 0, -3 = -0*w + 5*w + 2*b. Let y(x) = -x + 2. Let o = 15 - 14. Let g(m) = -o + 5 - 1 - 2. Give w*y(t) + g(t).
t - 1
Let x(z) = -z. Let f = 9 - 2. Let q(w) = 6 + 2 - w - f. What is -2*q(i) + x(i)?
i - 2
Let t(i) = 13. Let v(a) = -a + 13. Give 4*t(n) - 3*v(n).
3*n + 13
Let f = 130 + -125. Let q = 1 - -3. Let k(m) = -2*m**2 - 6*m + 2. Let r(w) = 2*w**2 + 7*w - 2. Determine f*k(z) + q*r(z).
-2*z**2 - 2*z + 2
Let q(r) = r**3 - r - 1. Suppose 2*k - 3 = -k. Let m(b) = -b**2. Let n(x) = 4*x**3 + 5*x**2 - 6*x - 6. Let a(v) = -3*m(v) - n(v). Determine k*a(p) + 6*q(p).
2*p**3 - 2*p**2
Let q(d) = -d**3 - 4*d**2. Let u(o) = -2*o**3 - 9*o**2. Give -13*q(i) + 6*u(i).
i**3 - 2*i**2
Let k(b) = 6*b**2 - 51*b + 4. Let u(v) = 5*v**2 - 51*v + 3. What is 3*k(z) - 4*u(z)?
-2*z**2 + 51*z
Let x(i) = -i**3 - 6*i**2 - 4*i. Let h(g) = -3*g**3 - 17*g**2 - 11*g + 1. Determine 4*h(y) - 11*x(y).
-y**3 - 2*y**2 + 4
Suppose -5*v + 15 = 5*c, v - 3 = -c - c. Let h(j) = j**2 + 3*j - 2*j + 4*j**2. Let x(o) = 6*o**2 + 2*o. Give v*x(d) - 4*h(d).
-2*d**2 + 2*d
Let x = -15 + 19. Let s(t) = -2*t**2 - 5. Let d(z) = -9*z**3 - z**2. Let q be d(1). Let o(j) = -j**2 - 2. Calculate q*o(f) + x*s(f).
2*f**2
Let k(w) = 77*w**2 + 5*w - 5. Let i(o) = -424*o**2 - 28*o + 28. Determine 5*i(y) + 28*k(y).
36*y**2
Let v(b) = -2*b**2 + 4*b - 3. Let u(p) = -4*p**2 + 7*p - 5. Let g(l) = -3*u(l) + 5*v(l). Let w(d) = d + d**2 + 1 + 0*d**2 - 2*d. Give -g(x) + w(x).
-x**2 + 1
Let q = -115 + 120. Let r(y) = 3*y - 4. Let w(o) = -4*o + 5. Let g be ((-8)/10)/(2/(-10)). Calculate g*w(t) + q*r(t).
-t
Let d(q) = 39*q + 5. Let a(k) = -20*k - 3. Give 5*a(w) + 3*d(w).
17*w
Let h(f) be the first derivative of -4*f**3/3 - 9*f**2/2 + 13*f - 16. Let z(g) = 2*g**2 + 4*g - 6. Calculate 4*h(l) + 9*z(l).
2*l**2 - 2
Let n(c) be the second derivati