d(o).
-o**2 + 2*o - 2
Let i(n) = -4*n**3 - 2*n**2 + 3*n - 5. Suppose 4*o - 5 - 8 = -j, 11 = 3*o + 2*j. Let q(m) = -9*m**3 - 5*m**2 + 7*m - 11. Determine o*q(a) - 7*i(a).
a**3 - a**2 + 2
Let n(l) = l**2 + l. Suppose -4*d + 7*d = -9. Let z = 2 - 3. Let x(g) = -g**3 - 2*g**2 - 3*g. Give d*n(b) + z*x(b).
b**3 - b**2
Let g(b) = 5*b + 25. Let q(x) = -1. Give -g(y) - 25*q(y).
-5*y
Let k(c) be the third derivative of c**6/120 - c**5/60 + c**4/24 - c**3/6 - 3*c**2. Let x(s) = 7*s**3 - 5*s**2 + 5*s - 5. Give -5*k(v) + x(v).
2*v**3
Let v(r) be the third derivative of r**4/24 + r**3/3 + 3*r**2. Let j(n) = -n - 3. What is -2*j(a) - 3*v(a)?
-a
Let z(t) = -t**3 + 4*t**2 + 4. Let o(w) = 15*w**3 - 55*w**2 - 55. What is 4*o(f) + 55*z(f)?
5*f**3
Let d(a) = -6*a**3 - 3*a**2 + 2*a. Let h(q) = q**2 - q. Give -d(i) - 2*h(i).
6*i**3 + i**2
Let g(h) = -2*h**3 - 5*h**2. Let o(s) = -2*s**3 - 4*s**2. Calculate 2*g(t) - 3*o(t).
2*t**3 + 2*t**2
Let s = -63/4 + 16. Let v(t) be the first derivative of 1/2*t**2 + s*t**4 + 0*t + 0*t**3 + 1. Let z(l) = 3*l**3 + l**2 + 2*l. Determine 2*v(x) - z(x).
-x**3 - x**2
Let y(c) = -c**2 + 8*c + 1. Let o(f) = -f**2 + 7*f + 1. Let d(l) = -7*o(l) + 6*y(l). Let x(m) = -8*m**2 + 4*m + 7. Calculate -6*d(v) - x(v).
2*v**2 + 2*v - 1
Let t(y) = 3*y + 31. Let p(v) = 2*v + 21. Let a(i) = -7*p(i) + 5*t(i). Let d(u) = -3 - 7 + 0 + 9. What is a(j) + 6*d(j)?
j + 2
Let f(d) = 3*d**3 + d**2. Let v(g) = 5*g**3 + 2*g**2. Calculate -11*f(l) + 6*v(l).
-3*l**3 + l**2
Let r(g) = 7*g**2 + 17*g - 9. Let s(c) = -4*c**2 - 9*c + 5. What is 6*r(n) + 11*s(n)?
-2*n**2 + 3*n + 1
Let m(g) = g. Let x(v) = -v**3 - 2*v**2 - v + 2. Let r be x(-2). Let c(k) = -3*k + 3 - 1 - r + 0. What is c(o) + 2*m(o)?
-o - 2
Let h(n) = -1. Let x(b) = 17*b. Let i(j) = -5*j. Let o(k) = -21*i(k) - 6*x(k). Calculate -h(d) - o(d).
-3*d + 1
Let b(u) = -u**3 + 4*u**2 + 6*u + 3. Suppose -2*h - 64 = -18*h. Let s(z) = -4 + 6 + 3*z**3 + 3*z**2 + 5*z - 4*z**3. Give h*s(q) - 3*b(q).
-q**3 + 2*q - 1
Let k be 4/(-14) + (-37)/(-7). Let s(w) = 2*w - 4. Let q(g) be the third derivative of g**4/12 - 5*g**3/6 + g**2. Give k*q(h) - 6*s(h).
-2*h - 1
Let v(n) = n**3 + n**2 - n - 1. Let o(f) = -7*f**3 + 42*f**2 - 42*f - 42. What is -o(r) + 42*v(r)?
49*r**3
Suppose -3*c = 2*v - 2, -6*v + 4*c + 28 = -v. Let f(y) = y - 2. Let p(z) = 2*z - 9. Let m(s) = -6*s + 26. Let t(x) = 4*m(x) + 11*p(x). What is v*t(u) + 9*f(u)?
u + 2
Let n(t) = t + 3. Let p = 4 - 2. Let z(a) = -5*a - 2. Let h(j) = 2*j. Let m(s) = -4*h(s) - 2*z(s). Give p*m(f) - 3*n(f).
f - 1
Let i(h) = -h - 8. Let t(c) = -3*c - 23. Suppose 6 + 9 = k + 2*d, -4*k + d + 69 = 0. Let v = 3 + -9. Determine k*i(j) + v*t(j).
j + 2
Let h(l) = 31*l**3 + 6*l**2 - 6*l - 6. Let m(b) = -155*b**3 - 31*b**2 + 31*b + 31. Give -31*h(d) - 6*m(d).
-31*d**3
Let i(s) = -91*s**3 + 6*s - 6. Let x(w) = 181*w**3 - 11*w + 11. Determine 11*i(j) + 6*x(j).
85*j**3
Let s(p) = 4*p**3 - 2*p - 3. Let n = -24 - -29. Let c(i) = 2*i**3 - i - 1. What is n*c(d) - 2*s(d)?
2*d**3 - d + 1
Let x(t) = 12*t**2 + 4*t**2 + 6*t + 2 - 15*t**2. Let o(d) = d. Let i = -7 + 2. What is i*o(m) + x(m)?
m**2 + m + 2
Let o(h) = 4*h**3 + 5*h**2 - 3*h + 2. Let p(u) = 7*u**3 + 9*u**2 - 5*u + 3. Determine -5*o(r) + 3*p(r).
r**3 + 2*r**2 - 1
Let a(o) = -o + 1. Let b = 15 + -19. Let g(h) = -h + 1. Calculate b*a(c) + 5*g(c).
-c + 1
Let d(k) = -4*k**2 - 5*k. Suppose 0 = 3*y + 10 + 5. Suppose 0 = v - 3, 5*p - 3*v - 27 = 4. Let g = 6 - p. Let c(f) = 2*f**2 + 2*f. Determine g*d(s) + y*c(s).
-2*s**2
Let a(r) = -r + 17. Let l(n) = 3*n - 34. What is -7*a(d) - 3*l(d)?
-2*d - 17
Let c(v) = -v**2 + 2*v - 4. Let u(g) = 1. Suppose 5 + 0 = r - i, 2*r + 3*i = -15. Let a be r*(-2)/(-6) + 2. Give a*u(n) + c(n).
-n**2 + 2*n - 2
Let z(f) = -3*f - 1. Let q = -8 + 5. Let v(b) = 3*b. Let w(d) = q*v(d) - 2*z(d). Let i(t) = 2*t - 1. Let c = 20 - 17. Calculate c*w(u) + 5*i(u).
u + 1
Let v(r) be the first derivative of 7*r**3/3 + 5*r**2/2 - 5*r - 28. Let k(a) = 4*a**2 + 2*a - 2. Give 5*k(h) - 2*v(h).
6*h**2
Let b(j) = j - 7*j + 6*j + 2*j**3 + 2 - 8*j**2. Let f(u) = -u**3 + 5*u**2 - 1. Determine -5*b(c) - 8*f(c).
-2*c**3 - 2
Let q(y) = -y**3 + y**2. Let i(j) = -6*j**3 + 4*j**2 - 2*j - 2. Calculate -i(k) + 4*q(k).
2*k**3 + 2*k + 2
Let i(z) = 1. Let d(a) = -a**3 + 3. Let v(o) = o**3 - 5*o**2 - 6. Let c be 74/14 + 4/(-14). Let q be v(c). Let p = q + 3. Determine p*i(f) + d(f).
-f**3
Let t(i) = -3*i**3 - 3*i**2 - 2*i - 1. Let r be 324/27 + -1*5. Let m(p) = -6*p**3 - 7*p**2 - 5*p - 3. What is r*t(u) - 3*m(u)?
-3*u**3 + u + 2
Let g(u) = -15*u**3 - 5*u**2 - 3*u. Let y(m) = 8*m**3 + 3*m**2 + 2*m. Suppose 21*q = 25*q + 12. Calculate q*g(w) - 5*y(w).
5*w**3 - w
Let j(w) = 14*w**2 + 8. Let m(t) = 5*t**2 + 3. What is -6*j(n) + 17*m(n)?
n**2 + 3
Let t(y) = 4*y. Let o(r) = -4*r. Calculate 6*o(h) + 5*t(h).
-4*h
Let a(m) = m**2 + m + 1. Let b(n) = 4*n**3 + n**2 + n - 1. Give a(d) + b(d).
4*d**3 + 2*d**2 + 2*d
Let h(j) = -12*j + 1. Let u(x) = -12*x + 1. Give 2*h(t) - 3*u(t).
12*t - 1
Suppose 0 = -2*a + a - 4*y - 12, a = 3*y + 16. Let w(m) = -1. Let f be -2 - (1 + -2 + 0). Let c(b) = b - 4. Determine a*w(x) + f*c(x).
-x
Let l(s) = -1. Let h(p) = -5*p**2 + p - 4. Give -h(y) + 4*l(y).
5*y**2 - y
Suppose 6*c - 9 = -21. Let k(y) = -2*y**2 + 0 + 6*y**3 - 5 + 3*y**2 + 11*y. Let q(w) = -w**3 - 2*w + 1. Give c*k(z) - 11*q(z).
-z**3 - 2*z**2 - 1
Suppose 2*o + 6 + 6 = 2*l, -o = -3*l + 16. Let b(z) = 3*z - 1. Let w(y) = y + 1. Determine o*b(k) + w(k).
-2*k + 2
Let w(x) = x + 1. Let u(b) = 2*b**2 + b - 3. What is u(y) + 3*w(y)?
2*y**2 + 4*y
Let i(o) = -168*o. Suppose c - 2 = 2*x - 0, -3*c - 2*x - 26 = 0. Let v(z) = -13*z. Determine c*i(a) + 77*v(a).
7*a
Let j(y) = -6*y**2 - 7*y + 7. Let i(r) be the third derivative of r**5/60 + r**4/24 - r**3/6 - 10*r**2. Calculate 21*i(f) + 3*j(f).
3*f**2
Let t(u) = 5*u**3 + u + 6. Let m(w) = 24 - 25 - 6*w**2 + 6*w**2 - w**3. Suppose -9 = 2*h + 4*a - 41, -5*h + 3*a + 15 = 0. Determine h*m(s) + t(s).
-s**3 + s
Let p(c) = 12*c**3 - 5*c**2 - 6*c - 5. Let r(v) = 6*v**3 - 3*v**2 - 3*v - 3. What is -3*p(w) + 5*r(w)?
-6*w**3 + 3*w
Let r(y) = 5*y**2 - 2*y + 11. Let c(d) = 2*d**2 - d + 5. What is -9*c(l) + 4*r(l)?
2*l**2 + l - 1
Let l(m) = m. Let g(x) = 4*x**2 - 4*x - 5. Let f(q) = -5*q**2 + 5*q + 6. Let b(p) = -5*f(p) - 6*g(p). Give -b(r) + l(r).
-r**2 + 2*r
Let c(y) = y**3 - 390 + y**2 - y**2 + 385. Let t(d) = -3*d**3 + 16. Give 7*c(h) + 2*t(h).
h**3 - 3
Let s(q) = -5*q**3 - 13*q**2 + 9*q - 9. Let l(r) = 2*r**3 + 6*r**2 - 4*r + 4. Determine 9*l(f) + 4*s(f).
-2*f**3 + 2*f**2
Let w(o) = 3. Let n(k) = -4. Let l(m) = 3*n(m) + 3*w(m). Let s(z) = -z**2 - 3 + 5 + 3. What is -5*l(q) - 3*s(q)?
3*q**2
Let t(h) be the first derivative of 2*h - 3 - 1/3*h**3 - h**2. Let q(c) = c**2 + c - 1. What is -6*q(k) - 3*t(k)?
-3*k**2
Let z(n) = 6*n**2 + 1 - 4*n + n**3 + 3 + 3*n. Let v be z(-6). Suppose 0*i = 2*i - v. Let t(l) = -2*l**2 - 5. Let h(q) = -2*q**2 - 6. Calculate i*h(j) - 6*t(j).
2*j**2
Let h(s) = -6 - 2 + 3 + 2 + s. Let c be h(-6). Let t(z) = 6*z + 5. Let m(k) = 13*k + 11. Give c*t(b) + 4*m(b).
-2*b - 1
Let u(v) = 9*v + 13. Let g(l) = -5*l - 7. Let d(p) = 7*g(p) + 4*u(p). Suppose -4*i - 11 = 1. Let c(k) = 1. Determine i*c(h) + d(h).
h
Let r(x) = -33*x**2. Let p(w) = 1023*w**2. Give 6*p(c) + 187*r(c).
-33*c**2
Let t(a) be the first derivative of 3*a**4/4 - a**2 - a + 192. Let g(h) = 3*h**3 + 1 + 0 - 4*h**3. Determine g(n) + t(n).
2*n**3 - 2*n
Let s(t) = 3*t**3 - 8*t**2 - 4. Let i(o) = -4*o**3 + 9*o**2 + 5. Give -6*i(f) - 7*s(f).
3*f**3 + 2*f**2 - 2
Let m(z) = 3*z + 3. Let d(i) = 0*i**2 - 1 + i**2 - 2993*i - 2*i**2 + 2992*i. Let p(r) = -r**2 - r + 1. Let l be p(0). What is l*m(b) + 3*d(b)?
-3*b**2
Let r(p) = 3*p**2 - 3*p + 2. Let u(o) = -o**2 - 1. Let f(d) = -d**2 - 5*d - 5. Let b be f(-3). Determine b*r(a) + u(a).
2*a**2 - 3*a + 1
Let f(c) = -c. Let b(g) = 2*g**2 + 4*g + 46. What is b(h) + 5*f(h)?
2*h**2 - h + 46
Let r(n) be the third derivative of 2*n**2 - 1/6*n**4 + 2/3*n**3 + 0 + 1/20*n**6 + 0*n + 1/12*n**5. Let x(m) = -m**3 - m**2 + m - 1. Give r(q) + 4*x(q).
2*q**3 + q**2
Let d(p) = -9*p**3 - 4*p - 2. Let s(g) = 46*g**3 + 19*g + 9. Let m(x) = 11*d(x) + 2*s(x). Let c(a) = 13*a**3 + 11*a + 7. What is 4*c(v) + 7*m(v)?
3*v**3 + 2*v
Let f(h) = h**2 + 3*h + 4.