s).
2*s + 10
Let z(i) = -4*i - 14. Let w(a) = 2*a + 1. Let y(o) = 14*w(o) + 2*z(o). Let n(v) = 0 - 7*v + 3 + 2. Let r = 23 + -37. Determine r*n(j) - 5*y(j).
-2*j
Let o(r) be the third derivative of r**5/20 + r**3/3 - 42*r**2. Let c(k) = k**2. Calculate -2*c(y) + o(y).
y**2 + 2
Let y(l) = -1. Let w(r) = -5 - 3*r - 4 + 16 - 3. Suppose -2*c - 12 = c. Determine c*y(a) - w(a).
3*a
Let p(r) = -r**3 + r**2 - r. Let d(i) = -4*i**3 + 2*i**2 - 2*i. What is 3*d(a) - 6*p(a)?
-6*a**3
Let a(h) = -3*h**2 + 4*h + 7. Let l(s) = 2*s**2 - 2*s - 4. Calculate 3*a(i) + 5*l(i).
i**2 + 2*i + 1
Let p(m) = -2*m - 4. Let d = -5 - 2. Let f be p(d). Suppose 0*k = -2*k + f. Let w(h) = -h. Let u(i) = -4*i - 1. Determine k*w(y) - u(y).
-y + 1
Let y(o) = 14*o**3 - 3*o**2 + 2*o - 2. Let q(k) = 29*k**3 - 5*k**2 + 3*k - 3. Determine 3*q(b) - 5*y(b).
17*b**3 - b + 1
Let d(c) = c - 1. Let u(y) = 2*y + 4. Let k(x) = d(x) - u(x). Let r(s) = -s - 3. Calculate -3*k(i) + 5*r(i).
-2*i
Let y(a) = 7*a**3 + 5*a**2 + a - 3. Let x(d) = 8*d**3 + 4*d**2 + d - 2. Determine 5*x(o) - 4*y(o).
12*o**3 + o + 2
Let p(u) = 5*u + 2. Let o = 3 - 6. Let b(f) = -5*f - 4. Let l(x) = -6*x - 4. Let r(t) = 3*b(t) - 4*l(t). Determine o*r(d) + 5*p(d).
-2*d - 2
Suppose -5*h + 20 = -4*z, z + 5 = -43*h + 39*h. Let l(q) = q**2 - 8*q + 3*q**3 - q**2 - 3. Let s(u) = 2*u**3 - 5*u - 2. Calculate z*l(o) + 8*s(o).
o**3 - 1
Let l(s) be the first derivative of -s**2 + s - 8. Let t(j) = 9*j - 4. Calculate 26*l(y) + 6*t(y).
2*y + 2
Let i = 6 - 4. Suppose 0 = i*k + 3*k - 25. Let l(s) = -4*s**3 + 4*s**2 + 5*s. Let y = 5 - 1. Let h(t) = 3*t**3 - 3*t**2 - 4*t. Calculate k*h(v) + y*l(v).
-v**3 + v**2
Let b(u) = u + 5. Let a(o) = -o - 6. Let h(x) = 5*a(x) + 4*b(x). Let j = 8 + 2. Let t(i) = -6 + 3 + i + j. Give 5*h(z) + 7*t(z).
2*z - 1
Let h(f) = 3. Let v(u) = -u - 5. Let l be v(-15). Suppose 8 = w + l. Let x(y) = y + 4. What is w*x(m) + 3*h(m)?
-2*m + 1
Let z(d) = -4*d**3 + 10*d**2 - 6*d. Let k(f) = 2*f**3 - 3*f**3 + 3*f + f**2 - 2*f - 2*f. Determine -6*k(x) + z(x).
2*x**3 + 4*x**2
Let a(m) = 5*m**3 - 6*m**2 + 2*m. Let p(h) = -h**3 + h**2 - h. What is a(x) + 4*p(x)?
x**3 - 2*x**2 - 2*x
Suppose 5*x - 4*z - 17 = 2*x, 2*x = -2*z + 2. Let b(u) = u. Let t(i) = i**2 - i + 2. What is x*b(j) + t(j)?
j**2 + 2*j + 2
Let k(q) = -5*q. Let a(z) = -z**3 + 8*z**2 + 9*z + 8. Let m be a(9). Suppose 0*y = y - 2. Suppose y*g - 4*g + 10 = 0. Let d(x) = 3*x. What is g*k(c) + m*d(c)?
-c
Let m(c) = -4*c**2 - 2*c. Let o be 2*(1 - 2) - -6. Let g(s) be the second derivative of 1/2*s**2 + 0 - s + 0*s**3 + 1/12*s**o. Calculate -2*g(k) - m(k).
2*k**2 + 2*k - 2
Let k(y) = y - 11. Let w be k(9). Let h(x) = 2*x - 3. Let c be (4/(-2))/(-2) + 0. Suppose -4*u - 11 = c. Let n(a) = -2*a + 4. What is u*h(i) + w*n(i)?
-2*i + 1
Let s(b) = -b. Let x(r) = -6. Let m(j) = s(j) + x(j). Let d(f) = f**3 - 8*f**2 - 7. Let a be d(8). Let z(i) = -i - 7. Determine a*m(y) + 6*z(y).
y
Let x(s) = 7*s**3 - 15. Let m(r) = -4*r**3 + 7. What is -5*m(y) - 2*x(y)?
6*y**3 - 5
Let n(s) = 3*s + 2*s - 8 + 2*s. Let g(r) = 3 - 1 + 6*r - 9. Suppose -5*q - 10 = -7*q. Determine q*n(i) - 6*g(i).
-i + 2
Let n(a) = -12*a + 2*a - 7*a - 5. Suppose 0 = 5*o + 9 + 16. Let b = 9 + o. Let z(v) = 6*v + 2. Give b*n(h) + 11*z(h).
-2*h + 2
Let p(r) = 3*r**3 + 2*r**2 - 2*r. Let m(t) = t**3 - t**2 + t. Calculate -2*m(y) - p(y).
-5*y**3
Let p(q) = -2*q**2 - 2*q - 1. Let k(g) = g**3 - 3*g**2 - 2*g - 1. Calculate -2*k(n) + 3*p(n).
-2*n**3 - 2*n - 1
Let o(b) = -b - 1. Let r = 60 + -64. Let z(a) = -a**3 - 4*a**2 + 6*a + 4. Let i be z(-5). Let w(h) = -3 + 3 + 2 + 5*h. What is i*w(g) + r*o(g)?
-g + 2
Let g(f) = -f. Let x(z) = 4*z + 1. Suppose -10*d + 3 = -7*d. Calculate d*x(n) + 3*g(n).
n + 1
Let k(f) = 6*f**3 + 4*f**2 + f. Let a(p) = 4*p**3 + 3*p**2 + p. Give -7*a(j) + 5*k(j).
2*j**3 - j**2 - 2*j
Let f(a) = a. Let s = -21 - -17. Let z(y) = 3*y + 1. What is s*f(g) + z(g)?
-g + 1
Let k(u) = -u + 8. Let l be k(8). Let g(t) = 10 - 10 - 3*t + 2*t**3 + l*t**3 - 9*t**2. Let p(d) = -3*d**3 + 14*d**2 + 5*d. Give 8*g(b) + 5*p(b).
b**3 - 2*b**2 + b
Suppose g - 4 + 2 = 0. Let l be 75/12 + g/(-8). Let t(i) = -7*i**2 - 5*i + 5. Let d(y) = 3*y**2 + 2*y - 2. Determine l*t(n) + 15*d(n).
3*n**2
Let b(t) = 77*t**2. Let q(v) = -26*v**2. Give 4*b(n) + 11*q(n).
22*n**2
Let w(f) = f**2 - 3. Let d(o) = -2*o**2 + 6. Suppose l = 4*l - 9. Let g(p) = l*d(p) + 5*w(p). Let y(t) = -3*t**2 + 8. What is -8*g(v) + 3*y(v)?
-v**2
Let f = -9 - -12. Let a(x) = -3*x**2 - 4*x**2 + 12 - 2*x**f - 3. Let y(o) = o**3 + 3*o**2 - 4. What is -4*a(k) - 9*y(k)?
-k**3 + k**2
Let r(m) = -m**3 + m**2 - m + 1. Let v(l) = 5*l**3 - 2*l**2 + 6*l - 3. Give -3*r(o) - v(o).
-2*o**3 - o**2 - 3*o
Let c = -50 - -60. Let k(a) = -4*a + 1. Let m(p) = 7*p - 1. Determine c*k(v) + 6*m(v).
2*v + 4
Let w(v) = -4*v**2 - 2*v - 5. Let t(s) = -9*s**2 - 4*s - 11. Suppose 5*p - 7*b = -2*b + 15, 4*p + 3*b = 33. Determine p*t(k) - 13*w(k).
-2*k**2 + 2*k - 1
Let f(t) = 3*t**2 + 2*t**2 - 4*t**2 + 4*t. Let h(o) = o. Let b(m) = f(m) - 2*h(m). Let u(x) = x. Calculate b(p) - u(p).
p**2 + p
Let i(b) = 4*b**2 + 2*b - 1. Let w(k) = 1 - 3*k + 0*k - 3*k**2 + 3*k - 2*k. Determine 2*i(a) + 3*w(a).
-a**2 - 2*a + 1
Let l(u) = 0 - 17 + 9 - 5*u**3 + u**2 + 4*u**2. Let f(v) = -4*v**2 + 4*v**3 - 5 + 12 + 0*v**3. Determine 7*f(p) + 6*l(p).
-2*p**3 + 2*p**2 + 1
Let y(a) = 4*a**2 + 9*a - 1. Let d(u) = 5*u**2 + 10*u - 2. Calculate -3*d(q) + 4*y(q).
q**2 + 6*q + 2
Let b(v) = 9*v**2 + 3*v + 3. Let l(q) = 3 - 4*q + 7 + 5 - 13*q**2 - 19. Determine -7*b(c) - 5*l(c).
2*c**2 - c - 1
Let l(r) = 2*r**2 + 3*r**2 - 3 - r**3 + 0*r**3 + 5*r**3. Let o(y) = 2*y**3 + 3*y**2 - 2. Suppose -3*z + 6*q + 1 = q, 5*z = -4*q - 23. Determine z*l(h) + 5*o(h).
-2*h**3 - 1
Let c(k) = k - 3. Let a be c(-4). Let b(i) = -10*i**2 - i - 4. Let v(y) = 7*y**2 + y + 3. Give a*v(o) - 5*b(o).
o**2 - 2*o - 1
Let f(b) = 7*b**2 + 22*b + 6. Let j(i) = -6*i**2 - 22*i - 5. Determine -4*f(t) - 5*j(t).
2*t**2 + 22*t + 1
Let y(j) = -5*j - 2. Let b(v) = -26*v - 11. Give 2*b(t) - 11*y(t).
3*t
Let q(w) = 15*w**3 - 5*w + 1. Let a(o) = 7*o**3 - 2*o + 1. Let i(f) = -5*a(f) + 2*q(f). Let p(j) = -24*j**3 - 14. Suppose 6*s = 3*s - 42. Give s*i(b) + 3*p(b).
-2*b**3
Let j(c) = 7*c**3 + 6*c - 2. Let u(g) = 6*g**3 + 5*g - 2. Suppose -2*t + 4*q = -8, q = -2*t - q + 14. Let x = 2 - 0. Let d = x + -7. Calculate d*j(m) + t*u(m).
m**3 - 2
Let k(c) = -c**2 - 19*c + 34. Let w be k(-21). Let y(i) = -i**3 + 5*i**2 - 5*i - 5. Let t(v) = 6 - 8*v**2 + 2*v**3 + 8*v + 0 + 2. What is w*y(q) - 5*t(q)?
-2*q**3
Suppose 0 = -3*c + w + 17, -2*c + 7 = 3*w + 14. Suppose 0 = -c*j - 24 - 4. Let x(y) = -7*y + 5. Let h(f) = -13*f + 5*f + 1 + 5. Calculate j*x(k) + 6*h(k).
k + 1
Let a(d) = -5*d + 6. Let v be (-30)/(-9) - 1/3. Suppose -n = -v*n + 2. Let r(h) = h - 1. Determine n*a(i) + 6*r(i).
i
Suppose 0 = d - 0*d - 4. Suppose -1 - 1 = 2*x. Let u(t) = -1. Let f(o) = -5 + 5 + o - 3*o - 4. Determine d*u(r) + x*f(r).
2*r
Let j(t) = 5*t**3 + 11*t**2 + 5*t + 7. Let o(k) = -2*k**3 - 5*k**2 - 2*k - 3. What is 3*j(n) + 7*o(n)?
n**3 - 2*n**2 + n
Let r(c) = 3*c**2 - c + 1. Let i(s) = -13*s**2 + 4*s - 3. Let n(j) = -4*i(j) - 18*r(j). Let w(q) = -1. What is -n(t) + 6*w(t)?
2*t**2 - 2*t
Let q be (-16 + 1)*(-20)/(-50). Let y(c) = 2*c**3 + 6*c**2 + 3*c**3 - 6*c**3 - 6 + 6*c + 2*c**3. Let h(u) = -u**3 - 5*u**2 - 5*u + 5. Calculate q*h(t) - 5*y(t).
t**3
Let h = -15 + 17. Let o(p) = p**3 - 2*p**2 + 2*p - 2. Let s(y) = -3*y**3 + 5*y**2 - 7*y + 7. Calculate h*s(k) + 7*o(k).
k**3 - 4*k**2
Let c(f) = 2*f. Let n(m) = m. What is 3*c(o) - 10*n(o)?
-4*o
Let p(n) = -n**3 + n**2 - 1. Let j(x) = 4*x**3 - 9*x**2 + 6. Give j(m) + 6*p(m).
-2*m**3 - 3*m**2
Let n(s) = 12*s**2 - 2*s + 12. Let g(h) = -h**2 - 1. Suppose 2*m = -5*o + 7*m + 65, -27 = -4*o - m. Let y = o + -18. Give y*g(b) - n(b).
-2*b**2 + 2*b - 2
Let y(d) = d**2 + 1. Let v(r) = -2*r**3 - 3*r**2 - 20. Give -v(o) - 3*y(o).
2*o**3 + 17
Let t(b) be the third derivative of -b**5/12 - b**4/8 - 5*b**3/6 - b**2. Let u(l) = l**2 + l + 1. Determine -2*t(r) - 9*u(r).
r**2 - 3*r + 1
Let v(g) be the second derivative of g**5/20 - g**4/6 + g**2 + g. Let k = -1 - -4. Let x(w) = 3 - 3*w**3 + w**k + 5*w**2 - 9. What is 8*v(t) + 3*x(t)?
2*t**3 - t**2 - 2
Let m(w) = 3*w**3 + 35*w. Let r(j