 11*c(t) - 4*g(t)?
-t**2 + 2*t - 1
Let u(t) = -4*t**3 - t**2 - 2*t. Let l(i) = 11*i**3 + 3*i**2 + 6*i. Give -3*l(w) - 8*u(w).
-w**3 - w**2 - 2*w
Let h(o) = 4*o + 16. Let d(z) = -2*z - 8. Determine 5*d(m) + 2*h(m).
-2*m - 8
Let z(i) = 8*i + 2. Let s(a) be the second derivative of -5*a**3/2 - 2*a**2 + 5*a. Calculate 6*s(y) + 11*z(y).
-2*y - 2
Let z(a) = -a**3 - 4*a**2 + 3*a + 7. Let w be z(-5). Let h = -12 + w. Let n = h - 12. Let b(x) = 3*x - 7. Let g(c) = 2*c - 5. Calculate n*g(d) + 5*b(d).
d
Let a(z) = 57*z**3 + 33*z**2. Suppose w = -3*j - 35 - 1, -168 = 5*w + 3*j. Let f(i) = 7*i**3 + 4*i**2. Calculate w*f(q) + 4*a(q).
-3*q**3
Let z = 8 - 11. Suppose 5*s - 55 + 15 = 0. Let o(i) = i**3 - 7*i**2 - 9*i + 7. Let r be o(s). Let u(j) = j + 1. Let y(m) = -2*m - 4. What is r*y(k) + z*u(k)?
-k + 1
Let d(f) = -f**3 + f - 1. Let z(k) = 14*k**3 - 10*k + 10. Let c(l) = l + 10. Let p be c(0). Give p*d(j) + z(j).
4*j**3
Let p(f) = 51*f**2 - 2*f + 1. Let g(n) = 25*n**2 - n + 1. Give -5*g(d) + 2*p(d).
-23*d**2 + d - 3
Let g(o) = 2204*o**3 + 377*o**2 - 377*o + 377. Let n(l) = 35*l**3 + 6*l**2 - 6*l + 6. What is -6*g(w) + 377*n(w)?
-29*w**3
Let d(a) = 2*a**3 - 3*a**2 + a + 3. Let v(h) = h**3 - h**2 + 1. Calculate 2*d(i) - 6*v(i).
-2*i**3 + 2*i
Let o(d) = -3*d**2 - d**2 - 2*d + 2 + 4*d. Suppose 5*x + n - 10 = 0, -4*x + n = 4*n - 8. Let v(y) = 3 + 5*y**2 - 2 - 3*y - 8 + 4. Determine x*v(i) + 3*o(i).
-2*i**2
Let m(h) = -7*h + 9. Let c(f) = 7*f - 8. Give -7*c(b) - 6*m(b).
-7*b + 2
Suppose -6*b = 1 - 7. Let x(u) = -3*u**2 - 7*u - 3. Let h(k) = k + 1. Determine b*x(t) + 5*h(t).
-3*t**2 - 2*t + 2
Suppose y - 8 = -y. Let a(m) = 5 - y - 2 - 3. Let p(q) = -q + 5. Determine -3*a(d) - 2*p(d).
2*d + 2
Let k(m) = m. Let t(j) = 91*j. What is 78*k(r) - t(r)?
-13*r
Let s(h) = 6*h + 6. Let g = -8 + 8. Let c(d) = -4 - 2*d + 2 + g. Give 8*c(r) + 3*s(r).
2*r + 2
Let m(t) = 2*t + 13. Let q(a) = -2*a - 14. What is -3*m(g) - 4*q(g)?
2*g + 17
Let v(i) = -i**3. Let r(x) = -x**3 - 16. Determine r(b) - 2*v(b).
b**3 - 16
Let k(r) = 3*r + 4. Let v be (-2)/(-7) + 38/14. Suppose -d = -5*a - 0 + 24, -v*a = 2*d - 17. Let t(m) = -2*m - 2. What is a*t(y) + 3*k(y)?
-y + 2
Let x(k) = -9*k**3 - 14*k**2 - 8*k + 6. Let z(b) = -3*b**3 - 5*b**2 - 3*b + 2. Let g(w) = -3*x(w) + 8*z(w). Let t(j) = j**2 - 1. What is g(s) - 2*t(s)?
3*s**3
Let h(p) = -24*p**3 + 8*p**2 - 8*p. Let w(k) = k**2 - k. What is h(x) - 8*w(x)?
-24*x**3
Let k(t) = 3*t**2 + 5*t + 5. Let s(f) = -2*f**2 - 4*f - 4. Give 4*k(n) + 5*s(n).
2*n**2
Let v(x) = -9*x**2 + 9*x + 61. Let a(r) = -14*r**2 + 14*r + 92. Give -5*a(y) + 8*v(y).
-2*y**2 + 2*y + 28
Let x(f) = -4*f + 13. Let k be x(3). Let i(j) = 6*j**2 + 5*j + 6. Let r(c) = c**2 + c + 1. Calculate k*i(z) - 5*r(z).
z**2 + 1
Let q(u) be the second derivative of -2*u**4/3 - u**3/6 + 54*u. Let h(s) = -15*s**2 - 2*s. Calculate -6*h(j) + 11*q(j).
2*j**2 + j
Let y(b) = -3*b - 1 + b**2 + 2*b + 0. Let m(p) = 10*p**2 - 3*p + 8. Let q(z) = 11*z**2 - 3*z + 10. Let a(u) = -7*m(u) + 6*q(u). What is 2*a(s) + 6*y(s)?
-2*s**2 + 2
Let j(k) = -10*k - 8. Let v(x) = -2*x + 7. Let q(t) = -t + 3. Let p(r) = -9*q(r) + 4*v(r). Calculate -j(d) - 8*p(d).
2*d
Let p(d) be the second derivative of d**5/20 + d**4/6 - 3*d**2/2 + 38*d. Let s(j) = -j**2. Calculate -p(l) - 2*s(l).
-l**3 + 3
Suppose -d - d = 4*t - 8, t = 5*d - 9. Let b(r) = r**2 + 0*r - 2*r**d + r - 9. Let f = 6 + -8. Let x(q) = 1. Give f*b(z) - 18*x(z).
2*z**2 - 2*z
Let m(w) = -w. Let j(b) = -b - 2. Let k(x) = 1. Let p(t) = 3*j(t) + 7*k(t). What is 5*m(o) - 2*p(o)?
o - 2
Let g(z) = 19*z. Suppose -3*r - 117 = 3*j - r, -2*j + 4*r - 78 = 0. Let i(a) = -3*a. What is j*i(h) - 6*g(h)?
3*h
Let b(n) = 5*n**2 + 3. Let d(c) = -c**2 - 1. Determine -4*b(h) - 12*d(h).
-8*h**2
Let l(i) = -i**2 - 2*i + 10. Let m(r) = -r + 5. Give 2*l(w) - 5*m(w).
-2*w**2 + w - 5
Let y(x) = -3*x**2 + 11*x + 7. Let s(w) = -2*w**2 + 5*w + 3. Determine -9*s(j) + 4*y(j).
6*j**2 - j + 1
Let c = -7 + 8. Let z(m) be the second derivative of -m**4/6 - m**3/2 + 3*m. Let v(f) = f. What is c*z(s) + 3*v(s)?
-2*s**2
Let l(v) = -3*v + 1. Let b(w) = -w. Let h(j) = 21*b(j) - 6*l(j). Let q(r) = 2*r + 5. Determine 4*h(i) + 5*q(i).
-2*i + 1
Let u(g) = g + 7. Let v(k) = k + 1. Let m(i) = i - 6. Let t(p) = -m(p) + 2*v(p). What is -4*t(x) + 5*u(x)?
x + 3
Let m(h) = 7*h + 2. Let z(q) = -7*q - 2. Calculate -6*m(a) - 5*z(a).
-7*a - 2
Let z(v) = -784*v**3 + 783*v**3 + 1 - 2*v + 3*v. Let f(u) = -4*u**3 + 4*u + 2. Let t(r) = -r + 3. Let d be t(6). Give d*z(i) + f(i).
-i**3 + i - 1
Let q(j) = j**2 - j + 1. Let r(b) = b**3 - 5*b**2 + 7*b - 6. Suppose 4 - 1 = 3*l. What is l*r(a) + 5*q(a)?
a**3 + 2*a - 1
Let p(d) = 3*d - 3. Let n(a) = 2*a - 2. Suppose 5*v + 0*v - 11 = 3*m, -3*m = -9. Suppose 0*u - u + 18 = -4*q, 0 = -2*q - 2*u - v. Calculate q*n(g) + 3*p(g).
g - 1
Let q(x) be the second derivative of -4*x**3/3 + x**2 + 6*x. Let w(o) = 7*o - 2. Calculate -5*q(t) - 6*w(t).
-2*t + 2
Let u(d) = 5*d + 1. Let m(b) = 10*b + 3. Give 4*m(h) - 9*u(h).
-5*h + 3
Let g(h) = -h - 8. Let a be g(-6). Let c(j) = -4*j + 1. Let n(r) = r**2 + 5*r - 2. What is a*n(k) - 3*c(k)?
-2*k**2 + 2*k + 1
Let y(v) = v**2 + v + 1. Let b(t) = -24*t**2 - 20*t - 16. What is b(k) + 20*y(k)?
-4*k**2 + 4
Let l be (0/2)/(-1 + 2). Let k(x) = x + l*x + 5*x - 7. Let i(u) = -u + 4 - u + 2 - 3*u. What is -5*i(g) - 4*k(g)?
g - 2
Let i = -22 + 23. Let t(s) = 2*s + 4. Suppose 2 - 5 = k. Let o(q) = 1. Give i*t(f) + k*o(f).
2*f + 1
Let o be (-3)/(-1 + 0/1). Let b(m) = o + m**2 - 1 + m - 3. Suppose 0*j - 20 = 5*j. Let p(q) = 2*q**2 + 2*q - 5. Give j*b(u) + p(u).
-2*u**2 - 2*u - 1
Let u(a) be the third derivative of a**4/12 - a**3/3 + a**2. Let i(c) = c. Let d = -4 + 5. Determine d*u(x) - 4*i(x).
-2*x - 2
Let j(a) = 21*a + 2. Let i(p) = -1786*p - 171. Give 2*i(y) + 171*j(y).
19*y
Let j(i) = 2*i**3 + 9*i**2 - 9*i - 11. Let h(k) = k**3 + 5*k**2 - 5*k - 6. Let p = -24 - -13. Give p*h(c) + 6*j(c).
c**3 - c**2 + c
Let m(f) = 5*f - f - 2*f + 2*f**2 + 17 - 21. Let c(r) = 4*r**2 + 5*r - 9. Suppose 2*z + 6 = -8. Calculate z*m(v) + 3*c(v).
-2*v**2 + v + 1
Let j(z) = -4*z - 11. Let g(w) = 13*w + 34. Give -4*g(b) - 14*j(b).
4*b + 18
Let w(k) = 15*k**3 + 5*k**2 - 6*k - 6. Let h(s) = -16*s**3 - 4*s**2 + 5*s + 5. Let r(g) = 6*h(g) + 5*w(g). Let o(t) = -5*t**3. Determine -9*o(x) + 2*r(x).
3*x**3 + 2*x**2
Let v(q) = -4*q**2 - 5*q - 1. Suppose -j + 17 = 4*b + b, 0 = 3*b - 5*j + 1. Let d(m) be the first derivative of -m**3/3 - m**2/2 + 22. Give b*d(u) - v(u).
u**2 + 2*u + 1
Let g(p) = -8*p**2 - 5*p + 2. Let j(t) be the second derivative of -t**4/12 - t**3/6 + 6*t. Determine -g(b) + 6*j(b).
2*b**2 - b - 2
Let n(y) = -y - 4. Let m(r) = 2. Suppose 0 = -0*q - 3*q + 15. Let i be (-10)/4*(-4)/5. Determine i*n(w) + q*m(w).
-2*w + 2
Let s(h) = 2*h**2 + 9*h + 9. Let g(f) = -5*f + 0 - f**2 + 0 - 5. Let x = 726 + -723. Calculate x*s(o) + 5*g(o).
o**2 + 2*o + 2
Let u(r) = -r - 4. Let z = -10 + 8. Let n(l) = -1. Let b(p) = -1. Let a(i) = z*n(i) + 3*b(i). Give 3*a(x) - u(x).
x + 1
Let z be 3 + -6 + 6 + -4. Let a(w) = -w**3 + w - 1. Let y(v) = 4 + 2*v**2 + 1 + 4*v**3 - 3*v - 1. Calculate z*y(k) - 3*a(k).
-k**3 - 2*k**2 - 1
Suppose 0*y = -2*i - 3*y, 4*y - 14 = -5*i. Let s(k) = 3*k**3 + 2. Let c(w) = 19*w**3 + 13. What is i*c(z) - 39*s(z)?
-3*z**3
Let u(b) = -b. Let c(g) = 7*g + 3. Give -c(o) - 4*u(o).
-3*o - 3
Suppose -2*p = 5*l + 2*p + 18, 5*l = -5*p - 15. Suppose o - 2 = -0. Let k(g) = -g**2 - 4*g**o + g**2. Let d(c) = -c**2. Calculate l*d(i) + 2*k(i).
-2*i**2
Let x(c) = c**2 - 5*c. Let d(v) be the second derivative of -2*v**3/3 - 89*v. Suppose 4*g - 2*t + 6 = -0*g, -5*g - 4*t = 14. Determine g*x(l) + 3*d(l).
-2*l**2 - 2*l
Let u(w) = 4*w + 16. Let y(c) = c + 4. Let f(t) = 7*t - 19. Let x be f(4). Give x*y(n) - 2*u(n).
n + 4
Let s(u) = -5*u**3 + 4*u - 4. Let n(c) = -6*c**3 + 3*c - 3. What is 4*n(i) - 3*s(i)?
-9*i**3
Let s(m) be the third derivative of -11*m**6/24 - 65*m**4/24 - 65*m**3/6 + 46*m**2 - 2*m. Let y(f) = -5*f**3 - 6*f - 6. What is -6*s(u) + 65*y(u)?
5*u**3
Let a(z) = 2*z**2 + 6. Let u(k) = k - 12. Let w be u(6). Let y(o) = -1. What is w*y(p) - a(p)?
-2*p**2
Let i(t) = -3*t - 7. Let q(j) = -j - 2. Determine 6*i(l) - 22*q(l).
4*l + 2
Let u(w) be the third derivative of w**4/12 - 2*w**3/3 + 5*