z).
-2*z**3
Let g(k) = -k**3 + 2*k**2 - 2*k - 1. Let w(l) = -l**3 + 3*l**2 - l - 2. What is 3*g(t) - 2*w(t)?
-t**3 - 4*t + 1
Let x(p) be the third derivative of p**6/60 - 5*p**4/24 - p**3 - 5*p**2. Suppose h - 2*h = 6. Let t(a) = -2*a**3 + 6*a + 7. Give h*x(y) - 5*t(y).
-2*y**3 + 1
Let l(j) = 3*j**3 + 4*j**2 - 4*j - 4. Let o be 4*1 - (4 - 4). Let p(u) = -u**2 - 3 + 2*u**3 + 0*u**2 - 3*u + o*u**2. Give -3*l(a) + 4*p(a).
-a**3
Let v(x) = -7*x**2 - x - 7. Let q(n) = -6*n**2 - n - 6. Let y = -417 - -221. Let b be (-6)/(-10) - y/(-35). Determine b*q(p) + 4*v(p).
2*p**2 + p + 2
Let p(x) = 6*x. Let n(a) = 6*a. Calculate -6*n(z) + 5*p(z).
-6*z
Let n(g) = -1. Let b(h) = -3*h - 5. Calculate b(t) - 6*n(t).
-3*t + 1
Let j(i) = i**2 + i - 1. Let a be (-6)/(-4)*2 - -1. Let u be ((-6)/a)/3*2. Let s(t) be the first derivative of -t**3 - t**2 + 2*t - 1. What is u*s(q) - 2*j(q)?
q**2
Let h(k) = -k**2 + 6*k. Suppose 0 = -l - 3*q - 4, -4*q = -3*l + q + 16. Let f(r) = r**2 - 4*r - r - l*r. Let v = 7 - 13. Give v*f(n) - 7*h(n).
n**2
Let d(b) = -5*b. Let p(a) be the third derivative of a**4/24 - 6*a**2. Calculate -6*d(g) - 34*p(g).
-4*g
Let b(u) = u - 1. Let q(j) = 1. Let m be ((-40)/(-50))/((-2)/5). Let r be 1 + -3 - (m + -1). What is r*b(l) + 2*q(l)?
l + 1
Let m(i) = 5*i**2 + 7*i + 1. Let o(k) = 9*k**2 + 13*k + 2. Let g = -292 - 98. Let j be 1/(-7) + g/(-35). What is j*m(h) - 6*o(h)?
h**2 - h - 1
Let y(x) = -3*x**3 - 17*x**2 - 7*x - 1. Let c(w) = -2*w**3 - 11*w**2 - 5*w - 1. Give -7*c(l) + 5*y(l).
-l**3 - 8*l**2 + 2
Let g(r) = -5*r - 8. Let x(i) = 9*i + 16. Determine 7*g(u) + 4*x(u).
u + 8
Let v(g) = -8*g**2 - 2*g - 7. Let w(t) = 7*t**2 + t + 6. Determine 5*v(n) + 6*w(n).
2*n**2 - 4*n + 1
Let w(s) = -2*s**2 - 2 + 5*s - s - 5*s. Let n(a) = a**2 - 10*a + 12. Let i be n(8). Let y(j) = 3 - 2 - j**2 + 2*j**2. What is i*y(m) - w(m)?
-2*m**2 + m - 2
Let d = -75 + 124. Suppose d = 4*u + 5*j, 16 = 5*u - 2*j - 4. Let z(p) = -8*p + 8. Let l(q) = -q + 1. Give u*l(a) - z(a).
2*a - 2
Let h(v) = -5*v + 6. Let u(r) = -5*r + 5. Let b(j) = 2*j - 2. Let k(l) = -8*b(l) - 3*u(l). Determine -h(c) + 4*k(c).
c - 2
Let d(p) = -p - 44. Let y(x) = 22. Determine 2*d(s) + 5*y(s).
-2*s + 22
Let i(u) = -u - 1. Let s(q) = -2 - 8*q + 2 + 0*q - 7. Give -21*i(v) + 3*s(v).
-3*v
Let r(o) = o**2 + o - 1. Let q(b) = -4*b**2 - 4*b + 4. Suppose v - 2*v = 4*c - 19, 5*v = -25. Calculate c*r(f) + 2*q(f).
-2*f**2 - 2*f + 2
Suppose 3*k + 4 - 37 = 0. Suppose k - 27 = 4*z. Let a(f) = f**2 + 2*f - 2. Let w(t) = -5*t**2 - 9*t + 9. Calculate z*w(o) - 18*a(o).
2*o**2
Let l(x) = x**3 + 9*x**2 + 11*x + 26. Let d be l(-8). Let g be (-23)/2 + (-1)/(-2). Let y(q) = 3*q. Let w(p) = 16*p. What is d*w(i) + g*y(i)?
-i
Let j(u) = -4*u**2 - 4*u - 3. Let g(k) = 2*k**2 + 2*k + 2. Let p(t) = -7*g(t) - 4*j(t). Let i = 10 - 6. Let n(z) = z**2 - 1. Calculate i*n(d) - p(d).
2*d**2 - 2*d - 2
Let b(k) = 4*k**2 - 2*k. Let f(a) = a**3 - 5*a**2 + 2*a. Determine 5*b(v) + 4*f(v).
4*v**3 - 2*v
Let i(a) = a**2 + 1. Let z be (0 - -2)/((-2)/(-4)). Suppose -8*k - 32 = z*n - 3*k, 0 = 5*n + 2*k + 23. Let p(g) = -2*g**2 - g - 2. What is n*i(d) - 2*p(d)?
d**2 + 2*d + 1
Let g(k) = -12*k**2 + 4*k + 3. Let f(v) = 35*v**2 - 13*v - 8. Let x(b) = -3*f(b) - 8*g(b). Let h(u) = 6*u**2 - 5*u. Determine -7*h(a) - 5*x(a).
3*a**2
Let p(v) = -v**3 + 4*v**2 - 3*v. Let o(c) = -3*c**2 - 5*c**3 + 2*c + 17*c**3 - 11*c**3. Determine 4*o(u) + 3*p(u).
u**3 - u
Let t(k) = -2*k**2 + 3*k. Let v(m) = 2*m**2 - 3*m. Suppose -93*p - 12 = -91*p. What is p*v(n) - 5*t(n)?
-2*n**2 + 3*n
Let h(t) = 2*t + 6. Let j(q) = -4*q - 13. Let r(o) = 13*h(o) + 6*j(o). Let p(d) = -4*d + 1. Suppose 25 = a - 5*k, 0*k + 14 = 2*a - k. What is a*r(i) + 2*p(i)?
2*i + 2
Let a(t) = -13*t + 19. Let m(s) = 6*s - 10. What is -2*a(y) - 5*m(y)?
-4*y + 12
Let i(w) = -6*w**2 + 5*w + 2. Suppose -4*v + 24 = -5*p, 4*v - 4*p + 8 = 36. Let j(r) = 17*r**2 - 14*r - 6. Calculate v*i(l) + 4*j(l).
2*l**2 - l - 2
Let h(f) = 1. Let u(g) be the third derivative of -g**5/60 + g**3/3 - 8*g**2. Determine 2*h(b) - u(b).
b**2
Let r(y) be the first derivative of -y**3/3 - 2*y**2 - 4*y - 4. Let j(w) = 3*w + 3. Determine -4*j(x) - 3*r(x).
3*x**2
Let f(n) = n**3 + 6*n**2 - 2*n - 7. Let c be f(-6). Let x(i) = i - 1. Let y(o) = -o**3 - 5*o + 5. What is c*x(s) + y(s)?
-s**3
Let m(p) = 2*p - 5. Let g(s) = -2*s + 6. What is -3*g(o) - 4*m(o)?
-2*o + 2
Let f(z) = -z + 1. Let a(j) = -12*j + 6. Give a(x) - 9*f(x).
-3*x - 3
Suppose -2*a + 18 = a. Let i(w) = w**3 - 6*w**2 - 2*w + 6. Let q be i(a). Let h(o) = -o**2. Let j(n) = 3*n**2 + 1. Determine q*h(y) - j(y).
3*y**2 - 1
Let u(x) = -13*x**2 - 4*x - 13. Let c = 6 + -17. Let h(a) be the second derivative of 7*a**4/12 + a**3/3 + 7*a**2/2 + 95*a. Give c*h(o) - 6*u(o).
o**2 + 2*o + 1
Let j(h) = -7*h + 12. Let a(o) = 4*o - 6. Determine 11*a(c) + 6*j(c).
2*c + 6
Let w(v) = -v**3 + v**2 + v - 1. Let l(j) be the third derivative of -j**6/30 + j**5/20 + j**4/8 - j**3/2 - 4*j**2. Calculate -l(s) + 3*w(s).
s**3
Let t(w) = -w - 4. Let o(u) = 2*u + 5. Suppose i - 5 + 2 = 0. Suppose i*f = -a, -6 = a - 4*f + f. What is a*t(z) - 2*o(z)?
-z + 2
Let o(g) = g - 24. Let k(b) = 1. Determine -6*k(m) - 2*o(m).
-2*m + 42
Let g be -3*(-2 + 0 - -3). Let a(b) = 5*b - 5. Suppose 3*u + 8 = 2*u. Let x(q) = -14*q + 14. Calculate g*x(n) + u*a(n).
2*n - 2
Let h = 5 + -5. Let v(t) = -t - 4. Let x be v(h). Let a(l) = l**3 - 4*l**2 - 4. Let u(n) = -n**2 - 1. What is x*u(i) + a(i)?
i**3
Let z(u) = -2*u**3 - 3*u**2 - 3*u + 4. Let c(t) = -t**3 - t**2 - t + 1. Calculate -6*c(l) + 2*z(l).
2*l**3 + 2
Let b(f) = f**2 + f + 1. Let z(n) = -5*n**2 - 23*n - 3. Calculate -3*b(k) - z(k).
2*k**2 + 20*k
Suppose 48 = 5*w - 2*w. Let k(c) = -3*c + 7. Let j(v) = -v**3 - 8*v**2 + v + 3. Let t be j(-8). Let d(s) = -10*s + 22. Determine t*d(r) + w*k(r).
2*r + 2
Let l(f) = f**3 - f**2 + 1. Let o(n) = 4*n**3 - n**2 + 12 - 28 + 16. Suppose r + 0*r = -3*v + 2, 0 = 2*v - 5*r - 7. Determine v*o(a) - l(a).
3*a**3 - 1
Let s(b) = 6*b**3 + 15*b**2 + 15*b - 15. Let m(v) = v**3 + 2*v**2 + 2*v - 2. Give 45*m(k) - 6*s(k).
9*k**3
Let p = -33 - -27. Let d(v) = -v**3 - 6*v**2. Let z(w) = -w**3 - 5*w**2. Give p*z(i) + 5*d(i).
i**3
Let p = 0 + 3. Let w(y) = -3 - 4*y - 2*y**3 + p*y**3 + 0*y**3. Let r(k) = 3*k**3 - 11*k - 8. Determine 4*r(o) - 11*w(o).
o**3 + 1
Let a(i) = 45*i - 2. Let c(q) = q - 1. What is a(b) - 3*c(b)?
42*b + 1
Let q(o) = -2*o**3 - 2*o**2. Let f(l) be the second derivative of 3*l**5/20 + 5*l**4/12 - 63*l. What is 2*f(p) + 5*q(p)?
-4*p**3
Let w(i) = i**2. Let n(f) = -8*f**3 + 4*f**2. What is n(q) - 4*w(q)?
-8*q**3
Let u be 14 - ((-2)/(-1))/2. Let s(l) = 15*l + 13. Let p(c) = 7*c + 11. Let g(j) = -7*j - 10. Let k(z) = -5*g(z) - 4*p(z). Give u*k(n) - 6*s(n).
n
Let b(m) = -4*m**3 - 4*m**2 - 7*m - 4. Let i(c) = -c**3 - c**2 - 2*c - 1. Determine 2*b(o) - 7*i(o).
-o**3 - o**2 - 1
Let v(d) = -d**3 + d**2 - d. Let r(t) = 5*t**3 - 8*t**2 + 2*t. Give -r(x) - 2*v(x).
-3*x**3 + 6*x**2
Let b(d) = 14*d**2 - 11*d + 4. Let c(s) = -s**2 - s - 2. Let m(h) = h**2 + 4*h + 5. Let l(i) = 8*c(i) + 3*m(i). Determine 3*b(r) + 8*l(r).
2*r**2 - r + 4
Suppose -3*j - 22 = -31. Let m(p) = 2*p**3 + 3*p**2 - 2*p + 2. Let r(l) = 3*l**3 + 5*l**2 - 4*l + 3. Calculate j*r(y) - 5*m(y).
-y**3 - 2*y - 1
Suppose -4*h - x = -5*x + 52, 10 = 5*x. Let b(c) = -7*c**2 - 2*c + 4. Let q(u) = 20*u**2 + 5*u - 11. What is h*b(r) - 4*q(r)?
-3*r**2 + 2*r
Let f(m) = 4*m + 4. Let o(s) = -s - 1. Let u(c) = -5*f(c) - 16*o(c). Let y(w) = -w. What is -u(v) + 3*y(v)?
v + 4
Let n(i) be the first derivative of 2*i**2 + 4*i - 15. Let c be (-1)/(1*1/11). Let b(y) = -7*y - 7. Determine c*n(l) - 6*b(l).
-2*l - 2
Let l(n) be the second derivative of 11*n**3/6 + 17*n**2/2 - 33*n. Let o(k) = -4*k - 6. Determine 6*l(w) + 17*o(w).
-2*w
Let h(c) = -c**2 + c + 1. Let n(f) = -9*f**2 - 2*f - 2. Calculate -2*h(l) - n(l).
11*l**2
Let y(i) = -66*i. Let b(w) = -13*w. Give 21*b(q) - 4*y(q).
-9*q
Let f(h) = -5*h + 13*h - h + 4 + 0*h. Let d(a) = -4*a - 2. Determine 5*d(l) + 3*f(l).
l + 2
Let s(y) = -3*y**3 - 2*y**3 + 5*y**3 - 2*y**3. Let g(u) = -u**3 - 2*u**3 + 2*u**3. Calculate -7*g(t) + 3*s(t).
t**3
Let o(k) = -k**3 + 2*k**2 - 2*k + 2. Let w(d) = -5*d + 5 - 3*d**3 + 5*d**2 + d**3 - d**3. Determine 5*o(s) - 2*w(s).
s**3
Le