. What is c*t(r) - 4*o(r)?
-2*r**2 + 2*r
Let j(m) = m**3 - 2. Let n(v) = -15*v**3 + 33. Suppose 3 + 7 = -5*p. Determine p*n(x) - 33*j(x).
-3*x**3
Suppose -3*x - w = -3, 5*x - x - 17 = 3*w. Let z(s) = -2 - 6*s + 4*s - 2. Let i(o) = 3*o**2. Let v be i(-1). Let r(b) = 2*b + 5. Calculate v*z(h) + x*r(h).
-2*h - 2
Let p(m) = -m**3 - m**2 - m + 1. Let d(o) = -7*o**3 - 6*o**2 - 7*o + 4. Give d(t) - 6*p(t).
-t**3 - t - 2
Let p(h) = 2 + 2*h - 9*h + 5*h**2 + 7*h**3 - 11*h**2. Let d(v) = 6*v**3 - 5*v**2 - 6*v + 2. Calculate -6*d(b) + 5*p(b).
-b**3 + b - 2
Let r(z) = z**2 + 1. Let m(u) = -2*u**2 - u - 2. Give m(q) - r(q).
-3*q**2 - q - 3
Let v = -18 - -23. Let c(m) be the first derivative of m**3 - 5*m**2/2 + m + 1. Let k(t) = -7*t + 3*t + 2*t**2 + 2 - 1. Calculate v*k(d) - 4*c(d).
-2*d**2 + 1
Suppose 0*i = -i - 4. Let o(c) = 2*c**2 + 4*c - 4. Let b(u) be the third derivative of -u**4/24 + u**3/6 + 21*u**2. What is i*b(l) - o(l)?
-2*l**2
Let f(x) = -1. Let o(b) = -7*b + 10. Let d(q) = -11*q + 15. Let m(r) = 5*d(r) - 8*o(r). What is -3*f(t) + m(t)?
t - 2
Let f be ((-4)/9)/((-48)/216). Let g(t) = t**2 + t. Let a(x) = -x**3 - 2*x**2 - 2*x. What is f*g(v) + a(v)?
-v**3
Let v(l) = -2*l - 1. Let r be 36/(-18)*(1 - 2). Let c(j) = 2*j + 1. What is r*v(p) + 3*c(p)?
2*p + 1
Let a(v) = -7*v**2 + 6. Let q(p) = 8*p**2 - 7. Suppose 5*f = 9*f + o + 28, -3*o - 18 = f. Determine f*q(x) - 7*a(x).
x**2
Suppose 12*w = 21*w + 9. Let q(k) = -k + 1. Let r(f) = -5*f**2 - 6*f + 8. Calculate w*r(u) + 6*q(u).
5*u**2 - 2
Let q(t) = -5*t - 7. Let x(z) be the first derivative of z**4/24 + z**3/6 - 2*z**2 + 2. Let u(g) be the second derivative of x(g). What is q(f) + 6*u(f)?
f - 1
Let n be 5/1*(-3)/(-5). Let w(m) = -23 + 20 + m - n*m. Let b(r) = -r - 1. What is 5*b(t) - 2*w(t)?
-t + 1
Let g(v) = -5*v**3 + 5*v**2 + 25*v - 25. Let h(z) = -z + 1. Give -g(j) - 25*h(j).
5*j**3 - 5*j**2
Let p(r) = -3*r**2 - 5. Let o(y) = y**2 - 1. Let m(t) = -7*t**2 + 1. Let h(k) = m(k) + 5*o(k). Determine 5*h(f) - 4*p(f).
2*f**2
Let u(f) = 8*f**2 + 7*f. Let m(i) = 135*i - 3*i**2 + 2*i**2 - 136*i. Give -14*m(x) - 2*u(x).
-2*x**2
Let t(x) = -2*x - 1. Let p(i) = 10*i + 2. Let l(k) = -k. Let j(u) = -10*l(u) - 2*p(u). Give 3*j(r) - 14*t(r).
-2*r + 2
Let u(w) = 51*w**2 - 3*w - 3. Let c(a) = 52*a**2 - 2*a - 2. Determine 3*c(q) - 2*u(q).
54*q**2
Let w be ((-2)/(-6))/(2/48). Let o(u) = w - 2*u - 1 - 3 + 0*u. Let i(k) = 2*k - 5. Calculate -2*i(v) - 3*o(v).
2*v - 2
Let t(v) = 5*v - 9. Let q(m) = 2*m - 5. Let y(c) = -5*q(c) + 3*t(c). Let x(s) = 4*s - 2. What is 6*x(i) - 5*y(i)?
-i - 2
Let i(u) = -4*u**2 - 3*u. Let n(g) = -28*g**2 - 20*g. What is 40*i(o) - 6*n(o)?
8*o**2
Let q(v) = -7*v**2 - 3*v - 4. Let l(g) = g**2 + g + 1. Determine 4*l(h) + q(h).
-3*h**2 + h
Let l(g) = 5*g**2 - 2*g**2 - 4*g**2 + 2*g**2. Let i(p) = 2 + 0 - 2 - p - 2 + 5*p**2. Calculate i(m) - 3*l(m).
2*m**2 - m - 2
Let p(f) = 7*f**3 + 5*f**2 - 7*f - 6. Let m(x) = x**3 + x**2 - x - 1. What is 6*m(t) - p(t)?
-t**3 + t**2 + t
Let d(p) = p**2 - p. Let x(h) = 16*h**2 - 4*h. What is 4*d(s) - x(s)?
-12*s**2
Let b(n) = -2*n - 5. Let q(r) be the second derivative of -r**5/20 - 7*r**4/12 - r**3/6 + 3*r. Let s(y) be the second derivative of q(y). Give 17*b(d) - 6*s(d).
2*d - 1
Let l = -1 - 0. Let k(t) = 40 + 32 - t**2 + t - 71. Let w(c) be the second derivative of -c**4/3 + 2*c**3/3 + c**2/2 - c. Give l*w(y) + 3*k(y).
y**2 - y + 2
Let d(g) be the first derivative of 5*g**3/6 + 8*g**2 + g + 2. Let k(o) be the first derivative of d(o). Let p(u) = -u - 3. Give 2*k(h) + 11*p(h).
-h - 1
Let p(i) = -17*i**2 - 6*i - 1. Let r(g) = 18*g**2 + 7*g + 2. What is 4*p(k) + 3*r(k)?
-14*k**2 - 3*k + 2
Let o(n) = -n - 7. Let d = -5 - -7. Suppose -15 = -d*r - r. Let t(h) = -h - 6. Give r*o(m) - 6*t(m).
m + 1
Let z(c) = -5*c**3 + 3*c**2 + 3*c - 3. Let l(i) be the third derivative of -i**6/12 + 7*i**5/60 + 7*i**4/24 - 7*i**3/6 - 18*i**2. What is -3*l(b) + 7*z(b)?
-5*b**3
Let l(o) = -o**3 - 10*o**2 + 13*o + 19. Let u be l(-11). Let t(g) = 3*g**2 + 4*g + 4. Let m(w) = 2*w**2 + 0 - 4*w**2 - 3*w - 3. Determine u*t(n) - 4*m(n).
-n**2
Let p(n) = 1. Let y(f) = 2*f - 2. Suppose -3 = -3*w + 9. Let v = 0 + w. Let t(i) = i**3 + 3*i**2 - i - 2. Let l be t(-3). What is l*y(g) + v*p(g)?
2*g + 2
Let x(u) = u**3 - u**2 - u + 1. Let t(k) = k**3 - 4*k**2 + 2*k - 1. What is -t(r) - x(r)?
-2*r**3 + 5*r**2 - r
Let j(r) = -80*r - 3. Let w(s) = 2321*s + 88. Calculate -88*j(u) - 3*w(u).
77*u
Let j(l) = -5*l**2 - l + 7. Let n(y) = 6*y**2 + 2*y - 8. Determine -4*j(o) - 3*n(o).
2*o**2 - 2*o - 4
Let z(n) be the second derivative of -n**4/6 + 2*n**3/3 - 8*n. Let v(r) = 4*r + r**2 + r - 4*r**2. Give -4*v(f) + 5*z(f).
2*f**2
Suppose -2*u - 14 = -l, -4*u - 5 = -l + 21. Let w = u - -4. Let k = w - 3. Let a(y) = -4*y**2. Let m(n) = 5*n**2. What is k*m(r) - 6*a(r)?
-r**2
Let s(n) = -17*n. Let m(t) = 9*t. Suppose 0 = f - 2*i - 2, -7 = 5*f - f - 3*i. What is f*s(v) - 7*m(v)?
5*v
Let y(p) = 2*p + 1. Suppose -19 = -8*r - 3. Let u(v) = -2*v - 1. Give r*u(q) + 3*y(q).
2*q + 1
Let b(m) = 3*m**2 - m - 6. Let j(z) be the second derivative of 1/6*z**3 + 0 - 5*z - 1/6*z**4 + 5/2*z**2. Determine -4*b(x) - 5*j(x).
-2*x**2 - x - 1
Let m(r) = 6*r + 15. Suppose 32 = -2*f - 5*s, -4*f - 22 = -f + s. Let z = f + -9. Let k(i) = -i - 2. Determine z*k(l) - 2*m(l).
3*l
Let h(v) = -14*v**3 - 6*v + 8. Let s(w) = -5*w**3 - 2*w + 3. Give -3*h(i) + 8*s(i).
2*i**3 + 2*i
Let l(x) = 8*x. Suppose -2*j = j - 15. Let y(b) = 2*b - 5. Let i(g) = -21*g + 49. Let v(u) = j*i(u) + 49*y(u). Calculate 6*l(m) + 7*v(m).
-m
Let i(j) = -455*j + 104. Let n(t) = -13*t + 3. Calculate -3*i(g) + 104*n(g).
13*g
Let s = -1 + 4. Let x(t) = s*t - t - 1 - t. Let v(a) = 5*a - 3. Let j(h) = -v(h) + 6*x(h). Let g(o) = 1. Give 5*g(q) + 2*j(q).
2*q - 1
Let s(w) = 9*w**2 + 5*w - 7. Let o(q) = 5*q**2 - 7. Let t(p) = -p - 1. Let c(y) = -o(y) + 3*t(y). Suppose -6*x = -31 + 1. Calculate x*c(d) + 3*s(d).
2*d**2 - 1
Let g(y) = -8*y + 4. Let t(j) = 1. Calculate 2*g(l) - 8*t(l).
-16*l
Let o(p) = 54*p**3 - 34*p. Let u(x) = -5*x**3 + 3*x. What is -6*o(s) - 68*u(s)?
16*s**3
Let y(x) = 4*x**3 + 18*x**2 + 10*x. Let q(u) = 2*u**3 + 6*u**2 + 3*u. What is -10*q(s) + 3*y(s)?
-8*s**3 - 6*s**2
Let q(t) be the first derivative of -3 - t + 1/2*t**2. Suppose -3 = 3*f - 0*f. Let o(s) = 2*s**2 + 4*s - 3. Give f*o(p) + 3*q(p).
-2*p**2 - p
Let w(r) = -20*r**3 + 29. Let y(q) = 7*q**3 - 10. Calculate 6*w(c) + 17*y(c).
-c**3 + 4
Let v(j) = -2*j**3 - 6*j - 2. Let m(r) = r. What is 6*m(w) + v(w)?
-2*w**3 - 2
Let z(t) = 4*t**3 - t**2 - t + 1. Let o be z(1). Let v = o + 0. Let g(k) = -k**2 - 21*k**v + k**2 + 11*k. Let j(c) = -4*c**3 + 2*c. Calculate -2*g(f) + 11*j(f).
-2*f**3
Let f(i) = -i - 2. Suppose -2*b - 2*b + 22 = z, -3*z = b - 11. Let v(h) = -3*h - 5. Give z*v(s) - 5*f(s).
-s
Let p(y) = -15*y**3 + 13*y. Let a(n) = 7*n**3 - 6*n. Let g(q) = 2*q**2 + 20*q + 6. Let t be g(-10). Calculate t*p(r) + 13*a(r).
r**3
Let f(v) = 14*v**3 + 11*v - 5. Suppose -4*u - 5*j = -7*j - 22, -3*u + 24 = -4*j. Let o(w) = -5*w**3 - 4*w + 2. Give u*f(b) + 11*o(b).
b**3 + 2
Let f(n) = -6*n - 7. Let l(w) = -3*w - 3. Let u = 11 - 8. Give u*f(m) - 7*l(m).
3*m
Let u(i) = -8*i**2 + 3*i. Let p(q) = 8*q**2 - 4*q. Give 3*p(t) + 4*u(t).
-8*t**2
Let s(f) = -6*f + 5. Let g(v) be the third derivative of 7*v**4/24 - v**3 - 13*v**2. Give -4*g(z) - 5*s(z).
2*z - 1
Let v(x) = 13*x**2 + 2*x - 1. Let c(a) = 13*a**2 + 3*a - 1. What is -2*c(n) + 3*v(n)?
13*n**2 - 1
Let t(o) = -4*o**2 + o - 5. Let j(v) = -11 - v**2 + 2*v + 0*v - 8*v**2 + 0*v. What is -3*j(s) + 7*t(s)?
-s**2 + s - 2
Let t(x) be the first derivative of 5*x**3/3 - x**2 - x - 1. Let f(g) = -14*g**2 + 5*g + 2. Let y be ((-15)/(-9) - -1)*-3. What is y*t(a) - 3*f(a)?
2*a**2 + a + 2
Let o(p) = -2*p**3 - 2*p**2 + 3*p + 2. Suppose -2*z = 5*r + 16, -2*z + 2*r - 2 = -0*r. Let a(t) = -t**3 - 2*t**2 + 2*t + 2. Give z*a(q) + 2*o(q).
-q**3 + 2*q**2 - 2
Let r(o) = -9*o + 2. Let a(g) = 28*g - 7. Determine -2*a(z) - 7*r(z).
7*z
Let m(v) = 2*v - 3. Let c(u) be the third derivative of u**4/12 - u**3/3 + u**2. Let w(l) = -5*l + 12. Let a be w(3). Calculate a*c(t) + 2*m(t).
-2*t
Let o = 29 - 26. Let g(l) = -3. Let q(z) = z**2 - z + 4. What is o*g(a) + 2*q(a)?
2*a**2 - 2*a - 1
Suppose r + 2*r = -u - 18,