**2
Let r = -1 - -3. Let k(m) = m**3 + m + 1. Let s(d) = 3*d. Let b be s(-6). Let f(p) = 8*p**3 - p**2 + 9*p + 9. Determine b*k(x) + r*f(x).
-2*x**3 - 2*x**2
Let m(v) = -5*v - 7. Let u(w) = -w - 1. Determine -m(h) + 4*u(h).
h + 3
Let g(t) = -t**3 - t**2 + 1. Let w(z) = z**3 + 3*z**2 + z - 3. Let q(p) = -8*p + 19. Let r be q(2). Give r*g(x) + w(x).
-2*x**3 + x
Let z(c) = 2*c**2 + 6*c + 7. Let n(j) = 4*j**2 + 13*j + 15. Calculate 4*n(y) - 9*z(y).
-2*y**2 - 2*y - 3
Let q(p) = 7*p**3 - p**2 - 2. Let j = -12 - -17. Let a(g) = 8*g**3 - g**2 - 2. Suppose -5*r = -r + 24. Determine j*a(z) + r*q(z).
-2*z**3 + z**2 + 2
Let a(i) = -6. Let d(z) = z. Calculate -a(u) - 3*d(u).
-3*u + 6
Let h(b) = -6*b**2 + 5*b - 3. Let t(m) = m**2 - m - 1. Calculate -h(v) - 5*t(v).
v**2 + 8
Let j be -3 + -4 + (-3 - -14). Suppose 6 = -2*w - 2*z, 4*w + 57 = z + j*z. Let a(d) = 14*d + 6. Let s(m) = 9*m + 4. What is w*s(f) + 5*a(f)?
-2*f - 2
Let f(n) = 41*n**3 - 2*n + 2. Let l(p) = -83*p**3 + 5*p - 5. What is 5*f(v) + 2*l(v)?
39*v**3
Let n(q) = 4*q**3 - 20*q**2. Let o(r) = -113*r**2 + 233*r**2 - 119*r**2. Determine n(c) + 20*o(c).
4*c**3
Let d = 10 + -16. Let k(r) = 3*r + 7. Let m(f) = 4*f + 8. What is d*k(g) + 5*m(g)?
2*g - 2
Let y(l) = -3*l**2 + 4*l - 2. Let n(q) = 7*q**2 - 9*q + 4. What is 2*n(r) + 5*y(r)?
-r**2 + 2*r - 2
Let p(n) = 4 - 2*n + 0 + 0 - 7. Let x(s) = -s - 4. Let d(l) = l + 5. Let z(y) = 3*d(y) + 4*x(y). Give -p(h) + 3*z(h).
-h
Let f(n) = 6*n**2 + 17. Let q(g) = -13*g**2 - 33. Let w(j) = -7*f(j) - 4*q(j). Let a(r) = -3*r**2 - 4. Suppose 0 = -4*l + 3 + 5. Determine l*w(h) + 7*a(h).
-h**2 - 2
Let l be ((-1)/3)/((-8)/264). Let u(x) = 5*x**3 - 6*x**2 + 4*x. Let y(n) = 14*n**3 - 17*n**2 + 11*n. What is l*u(g) - 4*y(g)?
-g**3 + 2*g**2
Let u(q) = -q**3 + 3*q**2 - 2*q + 2. Let h be u(2). Let k(o) = -o**3 + 3*o**2. Let f(i) = -i**3 + 4*i**2. What is h*f(y) - 3*k(y)?
y**3 - y**2
Let t(i) = -5*i**2 - 4*i - 4. Let o(v) be the first derivative of -2*v**3/3 - v**2 - 2*v - 10. What is -7*o(w) + 3*t(w)?
-w**2 + 2*w + 2
Let j = -15 + 17. Let x(s) = -5*s**2 - 4 + 7 + 2*s - 2*s. Let c(u) be the second derivative of -u**4/3 + u**2 + 3*u. Determine j*x(m) - 3*c(m).
2*m**2
Let z(y) = -y - 2. Suppose -4 = -l + 3*l. Let r(f) = -3. Let k(v) be the first derivative of 5*v + 3. Let i(c) = -4*k(c) - 7*r(c). Calculate l*z(s) - 5*i(s).
2*s - 1
Let v(k) = -12*k**2 - 8*k + 5. Let h(u) = -u**2 - u + 1. Give -6*h(t) + v(t).
-6*t**2 - 2*t - 1
Let w(j) be the second derivative of j + 0*j**2 + 0 + 1/6*j**3. Let f be w(2). Let h(u) = 4*u**2 - u - 1. Let s(x) = -x**2. Give f*s(v) + h(v).
2*v**2 - v - 1
Let q(b) = -b**2 + 20*b + 2. Let n(u) = 3*u**2 - 41*u - 5. Determine -4*n(f) - 10*q(f).
-2*f**2 - 36*f
Let z be 1 + 5 + -3 + 1. Let x(b) = 2*b**2 - 2*b - 1. Let f(h) = 2*h**2 - 2*h - 1. What is z*x(p) - 3*f(p)?
2*p**2 - 2*p - 1
Let z(g) = g. Suppose -s + 5 = 2. Let l(o) = -o + 5. Let b be l(4). Let v(f) = -2*f - 2. What is b*v(x) + s*z(x)?
x - 2
Let w(x) = -3*x - 26. Let d(v) = v + 9. Determine -11*d(z) - 4*w(z).
z + 5
Let g(p) = -2*p**3 - 7*p**2 - 7*p + 17. Let y(o) = -o**3 - 4*o**2 - 4*o + 8. Determine -4*g(w) + 7*y(w).
w**3 - 12
Let a(b) = -b - 1. Let v(w) = -w. Calculate 5*a(t) - 4*v(t).
-t - 5
Let a(l) = l**2 + l. Let x(w) be the third derivative of -w**3/6 + 5*w**2. Determine -a(o) + 2*x(o).
-o**2 - o - 2
Let s(z) = -7*z + 2. Let j = 10 - 5. Let f(l) be the second derivative of l**3 - l**2 + 2*l. Give j*f(r) + 4*s(r).
2*r - 2
Let z(f) = 52*f**2 + 2*f. Let k(w) = 51*w**2 + 2*w. Calculate -6*k(b) + 5*z(b).
-46*b**2 - 2*b
Let v(w) = -3*w**3 - 5*w - 2. Let s(d) = -8*d**3 - 14*d - 6. Suppose 0 = 12*g - 17*g + 25. Calculate g*s(j) - 14*v(j).
2*j**3 - 2
Let f = -9 - -15. Let i be (f/2)/(-3)*0. Let m = i - -1. Let t(w) = -w + 1. Let l(h) = 3*h - 3. Give m*l(s) + 2*t(s).
s - 1
Suppose 5*d + 25 = 5. Suppose -11 = -2*u - f, -2*u - f - 2*f + 21 = 0. Let l(g) = g - 2*g**2 - 3*g + 4 + u*g. Let a(q) = 4*q**2 - 2*q - 7. Give d*a(p) - 7*l(p).
-2*p**2 + p
Let t(k) = 7*k - 19. Let h(d) = -3*d + 9. Calculate -5*h(n) - 2*t(n).
n - 7
Let b(g) = -g - 1. Let t(i) = -i**2 - 6*i - 5. What is -11*b(y) + 2*t(y)?
-2*y**2 - y + 1
Let n(m) be the second derivative of 7/12*m**4 + 2*m - 5/6*m**3 + 0 + 3/2*m**2. Let q(b) = -b**2 + b - 1. Give -n(o) - 5*q(o).
-2*o**2 + 2
Let i(q) = 28*q**2 - 3*q + 3. Let c(s) = 84*s**2 - 10*s + 10. What is -3*c(r) + 10*i(r)?
28*r**2
Let m(v) = 2*v + 5. Let c(z) = -z - 3. Suppose 3 + 0 = -i. What is i*m(t) - 5*c(t)?
-t
Let k(f) = 5*f**2 - 4. Let q(g) be the first derivative of -10*g**3 + 25*g - 8. Calculate 25*k(i) + 4*q(i).
5*i**2
Let i(a) = 4*a**2 + 2*a + 2. Suppose -4*g + 14 = 2. Let j(v) be the first derivative of 3*v**3 + 4*v + g + 5/2*v**2. Give 5*i(s) - 2*j(s).
2*s**2 + 2
Let b(f) = f. Suppose 2 = s - 1. Let l(p) = 2*p. Determine s*b(m) - 2*l(m).
-m
Let k(t) = -t**3 + 4*t**2 - 2*t + 5. Let g(s) = 2*s**2 - s + 3. Give 5*g(p) - 3*k(p).
3*p**3 - 2*p**2 + p
Let s(m) = -7*m**2 - 6*m - 3. Let t(q) = 6*q**2 + 5*q + 4. Determine 5*s(k) + 6*t(k).
k**2 + 9
Let a(i) = 6*i**3 - 5*i**2 + 7*i - 10. Let f(l) = 5*l**3 - 4*l**2 + 6*l - 9. What is 4*a(c) - 5*f(c)?
-c**3 - 2*c + 5
Let p(i) = -13*i**2 + 19*i - 17. Let w(d) = 53*d**2 - 77*d + 68. Let v(m) = -9*p(m) - 2*w(m). Let n(q) = 2*q**2 - 3*q + 3. Determine 34*n(a) - 6*v(a).
2*a**2
Let m(d) = d**3 + 1. Let w(b) = 7*b**3 + 2*b. Let u(v) = -2*m(v) + w(v). Let n(x) = -x + 1. What is -2*n(p) - u(p)?
-5*p**3
Let q(n) = -9*n**3 - 7*n**2 - 7. Let w(k) = -8*k**3 - 6*k**2 - 6. Suppose -3*o + 8 = 2*d, 4*d - 4*o - 43 = -d. What is d*w(f) - 6*q(f)?
-2*f**3
Let z = 0 + 2. Let l(t) = -t**2 + 16*t - 11. Let a = 4 + 7. Let d(i) = -3*i + 2. What is a*d(u) + z*l(u)?
-2*u**2 - u
Let w(n) = -n**2 - n - 8. Let g(d) = d**2 + d + 7. Suppose -50 = -5*i - 20. What is i*g(x) + 5*w(x)?
x**2 + x + 2
Let r(m) = -m - 1. Let o(d) be the first derivative of -d**3/3 + 1. Suppose 2*c - 8 = -0*c. Suppose 6 = -z + c. What is z*o(n) + 2*r(n)?
2*n**2 - 2*n - 2
Let w(j) = -5*j**2 + 2*j - 2*j. Let r(q) = 6*q**2. Suppose 3*o + 3 = -h, -2*o - 3*h = h - 8. Let d(g) = g**2 - g - 2. Let l be d(o). Calculate l*w(m) + 3*r(m).
-2*m**2
Let v(z) = 23*z**2 - 2*z. Let y(f) = 2000*f**2 - 175*f. Calculate 175*v(b) - 2*y(b).
25*b**2
Let c(k) = -k**3 - 4*k**2 - 2*k + 4. Let o(p) = 2*p**2 + 15 - 6*p**2 + 3*p**2 - 14 - p**3 - p. Suppose 0 = 5*r - 0*r + 5. Calculate r*c(t) + 4*o(t).
-3*t**3 - 2*t
Let j(d) = 6*d**2 - 6*d - 1. Let b(f) = 5*f**2 - 5*f - 2. Determine -4*b(i) + 3*j(i).
-2*i**2 + 2*i + 5
Let k(f) be the second derivative of 13*f**4/6 - 11*f**3/6 + 11*f**2/2 - 12*f. Let q(o) = 5*o**2 - 2*o + 2. Calculate 2*k(r) - 11*q(r).
-3*r**2
Let z(y) = -2*y**2 + 6*y - 9. Let p(i) = -1. Let h(w) = 2*w**2 - 5*w + 14. Let v(n) = -h(n) - 6*p(n). Give -6*v(q) + 5*z(q).
2*q**2 + 3
Let j(r) = -5*r**2 + 3*r - 2. Let b(v) = 1 + 24*v**2 - 23*v**2 - 2*v + v. Give -3*b(t) - j(t).
2*t**2 - 1
Let n(c) = 24*c**2 - 6*c + 13. Let v(h) = 4*h**2 - h + 2. Calculate -6*n(g) + 39*v(g).
12*g**2 - 3*g
Suppose -30 = 2*s - 18. Let r(i) = -1. Let z(d) = -2*d + 5. Give s*r(c) - z(c).
2*c + 1
Let a be ((-6)/(-12))/((-2)/(-16)). Let c(y) = y. Let p(m) = -2*m + 2 - 3 + 2. Calculate a*c(w) + p(w).
2*w + 1
Let w = 48 - 49. Let i(m) = -m**3 + 1. Let a(v) = 6*v**3 + v - 5. Calculate w*a(o) - 5*i(o).
-o**3 - o
Let y(h) = -3*h**3 - 9*h**2 + 1. Let p(v) = -v**3 - 4*v**2. Calculate -9*p(o) + 4*y(o).
-3*o**3 + 4
Suppose 19 = -2*k - 1. Let o(d) = -16*d**3 + 10*d**2 - 10*d + 6. Let b(a) = -5*a**3 + 3*a**2 - 3*a + 2. What is k*b(i) + 3*o(i)?
2*i**3 - 2
Let g(i) = -15*i - 13. Let w(a) = -a - 17. Let y be w(-6). Let c = 3 + -9. Let p(u) = 8*u + 7. Give c*g(b) + y*p(b).
2*b + 1
Let s(b) = -29*b**2 - 2*b + 6. Let p(f) = -f**2 + 1. Calculate 6*p(h) - s(h).
23*h**2 + 2*h
Let p(d) = -6*d + 5. Let b(s) = 7*s - 6. Give -3*b(g) - 4*p(g).
3*g - 2
Let l(w) = -w**3 + w. Let c(r) = -16*r**3 - 2*r**2 + 5*r. Determine c(f) - 5*l(f).
-11*f**3 - 2*f**2
Let m(k) be the third derivative of k**5/15 - 5*k**4/24 + 2*k**2. Let d = 5 + -1. Let h(y) = -3*y**2 + 4*y. Determine d*m(u) + 5*h(u).
u**2
Let n = -21 - -16. Let j(b) = b + 7. Let a(q) = q + 5. Let i(h) = n*j(h) + 8*a(h). Let v(w) = 2*w + 4. Determine -4*i(f) + 5*v(f).
-2*f
Suppose 0 = 3*g + 4*g - 42. Let b(y) = 7*y**3 + 5