lculate i*j(k) + 5*a(k).
k**3 - 3
Let i(u) be the first derivative of 17*u**2/2 - 8*u + 7. Let t(f) = 6*f - 3. What is 4*i(p) - 11*t(p)?
2*p + 1
Let u(b) = -2*b**3 + 3*b - 4 + 0*b**3 + b**3 + 4*b**2. Let a(q) = -3*q**3 + 9*q**2 + 7*q - 9. Suppose -11*l = -3*l - 56. Determine l*u(p) - 3*a(p).
2*p**3 + p**2 - 1
Let i(f) = 39*f**2 + 13*f - 11. Let a(m) = 19*m**2 + 6*m - 5. Determine 13*a(h) - 6*i(h).
13*h**2 + 1
Let i(g) = 2*g**2 + 4*g + 7*g - 6*g + g**2. Let x be 0 - (4 - -1)*-1. Let y(v) = -2*v**2 - 3*v. Let h = 4 + -1. Give h*i(l) + x*y(l).
-l**2
Let n(b) = b + 11 - 1 - 9. Let q(z) = -1. Let o(i) = -7. Let l(x) = -o(x) + 5*q(x). Give 2*l(k) - 2*n(k).
-2*k + 2
Let q(c) = -c**2 + 87*c. Let w(i) = i. Determine q(v) - 2*w(v).
-v**2 + 85*v
Let d(r) be the second derivative of -r**3/2 - 7*r**2/2 - 21*r. Let b(i) = -4 - 2*i + 1 - 1. Give -7*b(s) + 4*d(s).
2*s
Let q(o) = 13*o**2 + 13*o - 4. Let g(l) = l**3 - 6*l**2 + 3*l + 3. Let u be g(5). Let d(s) = -4*s**2 - 4*s + 1. What is u*d(i) - 2*q(i)?
2*i**2 + 2*i + 1
Let r(p) = 6*p**3 + 16*p**2 - 32. Let u(f) = 4*f**3 + 11*f**2 - 21. Let w(i) = 5*r(i) - 8*u(i). Let b(j) = -j**2 + 1. What is 8*b(m) - w(m)?
2*m**3
Let m(c) = -4*c**3 + 6*c**2 + 4*c + 1. Let j(o) = -11*o**3 - 2*o - 1 - o + 14*o**3 - 5*o**2. Calculate -6*j(h) - 5*m(h).
2*h**3 - 2*h + 1
Suppose 80 = -n + 5*n. Suppose 5 = 5*y - n. Let m(b) = -20*b**2 - 14*b. Let w(f) = 7*f**2 + 5*f. Give y*m(a) + 14*w(a).
-2*a**2
Let k(v) = 6*v**3 - 7*v**2 - 7*v + 4. Let s(u) = -2*u**3 + 2*u**2 + 2*u - 1. Determine 2*k(j) + 7*s(j).
-2*j**3 + 1
Let p(x) = -x + 3. Let a(r) = 4*r**2 + 15*r - 9. Let g be a(-4). Let n(i) = i - 3. Calculate g*n(s) - 6*p(s).
s - 3
Let n(c) be the third derivative of -c**6/12 + 13*c**5/30 + 2*c**4/3 - 8*c**3/3 + 22*c**2. Let v(a) = -2*a**3 + 5*a**2 + 3*a - 3. Calculate 3*n(d) - 16*v(d).
2*d**3 - 2*d**2
Let u(p) = 2*p**3 - 3*p**2 + 3*p - 3. Let b(m) = -8 - 2*m**2 - 5*m**3 + 0*m**2 + 10*m**3 - 6*m**2 + 8*m. Calculate -3*b(t) + 8*u(t).
t**3
Let b(c) = 4. Let j(l) = -l. What is -b(r) + 6*j(r)?
-6*r - 4
Let g(p) = 2*p**2 - 2*p - 1. Let y(n) = -2*n**2 + 3*n + 2. Calculate 4*g(o) + 3*y(o).
2*o**2 + o + 2
Let d(h) be the first derivative of -1/2*h**2 + 0*h + 1/3*h**3 + 1. Let m(o) = -2*o**3 - 3*o**2 - o. Determine d(y) + m(y).
-2*y**3 - 2*y**2 - 2*y
Let q(g) = 3*g. Let y(u) = 8*u. Let n(l) = -l**3 - 2*l**2 - 2*l - 1. Let h be n(-3). What is h*q(x) - 5*y(x)?
2*x
Let c(t) = 8*t**3 - 5*t**2 - 4*t - 5. Let p(l) = -l**3 + l**2 + l - 1. Give c(m) + 5*p(m).
3*m**3 + m - 10
Let b(o) = -o**3 + o**2 + o + 1. Let t(s) = 78*s**3 - 65*s**2 - 65*s - 65. Give -195*b(w) - 3*t(w).
-39*w**3
Let k(s) be the third derivative of -s**5/30 + s**4/8 + 15*s**2. Let a(b) = -b + 2. Let p be a(6). Let m(l) = -3*l**2 + 4*l. What is p*k(q) + 3*m(q)?
-q**2
Let r(x) = -3*x + 4. Let o(f) = 13*f - 16. Give 2*o(c) + 9*r(c).
-c + 4
Let u(l) = -2*l - 5. Let w(h) = h + 3. Determine 2*u(o) + 5*w(o).
o + 5
Suppose 12 = 7*p - 3*p. Let i(w) = -w**3 + w**2 - 5*w - 3. Let l(t) = t**3 + 4*t + 2. Give p*l(k) + 2*i(k).
k**3 + 2*k**2 + 2*k
Let l(g) = -6*g**2 + 4*g - 6. Let c(j) = j**2 - j + 1. Determine 3*c(n) + l(n).
-3*n**2 + n - 3
Let o(p) = -29*p + 8. Let m(d) = -10*d + 3. Determine -11*m(i) + 4*o(i).
-6*i - 1
Let g(r) = 2*r**2 - 15. Let w(q) = q**2 + 1. Let x(u) = -16 - 2*u**2 - 2*u**2 + 4. Let j(n) = -5*w(n) - x(n). Let s = 18 + -5. What is s*j(z) + 6*g(z)?
-z**2 + 1
Let p(o) = 11*o + 5. Let k(u) = 4*u + 2. Let b be 630/(-81) + 2/(-9). Suppose -n + 5*z = -18, -z = -5*z - 12. What is b*k(g) + n*p(g)?
g - 1
Let o(p) = p + 1. Suppose -3*l = -4*c + 5, 0 = 3*l - c - 4 - 6. Let t(h) = -1 + l - 1. Let r = 6 - 5. Determine r*t(y) - 2*o(y).
-2*y + 1
Suppose -2*f - t + 26 = 3*f, -13 = -3*f + 2*t. Let c(s) = 2*s + 2. Let r(d) = -18*d - 9. Let u(i) = 4*c(i) + r(i). Let n(y) = -7*y - 1. What is f*u(g) - 7*n(g)?
-g + 2
Let w(m) = -m - 11. Let i(n) = n + 16. Let r(v) = -5*i(v) - 7*w(v). Let x = -31 - -34. Let f(t) = -1. Calculate x*f(g) - r(g).
-2*g
Let s(m) = 4*m**3 - 17*m**2 - 4. Let y(j) = -2*j**3 + 9*j**2 + 2. Let z be (1 - 2)*(-55)/(-5). Give z*y(r) - 6*s(r).
-2*r**3 + 3*r**2 + 2
Let m(v) = v. Let i(z) = -5*z**2 + 5*z. Calculate -4*i(j) + 20*m(j).
20*j**2
Let p(z) = -5*z - 5. Let a(h) = -h**3 + 3*h**2 + h + 1. Let d be a(3). Let j be 1*(16 + -1) - 1. Let k(f) = d*f - j*f - 14 - 4*f. Determine -4*k(x) + 11*p(x).
x + 1
Let x(v) be the second derivative of 0 - 17/12*v**4 - 11/6*v**3 - 3/20*v**5 + 0*v**2 - 4*v. Let l(z) = -z**3 - 6*z**2 - 4*z. What is -17*l(a) + 6*x(a)?
-a**3 + 2*a
Let j = 21 - 24. Let l(x) = -6*x + 4 + x + 11*x**2 + 2 - x. Let g(d) = 4*d**2 - 2*d + 2. Determine j*l(f) + 8*g(f).
-f**2 + 2*f - 2
Let p(s) = -5*s**3 - 6*s + 6. Let y(v) = -9*v**3 - 11*v + 11. Give 11*p(u) - 6*y(u).
-u**3
Let y(v) = -v + 1. Let r(i) = -11*i**2 + 10*i - 6. What is -r(f) - 6*y(f)?
11*f**2 - 4*f
Let b be (-2)/2 - (-12 - -2). Let m(l) = -2*l. Let z be m(-1). Let t(y) = -74 - z*y + 74. Let n(h) = h. What is b*n(a) + 4*t(a)?
a
Suppose -2*d = -3*f - f + 8, -2*f + 4 = -3*d. Suppose -j - f*j = -6. Let v(k) = k**3 - k. Let i(p) = 19 - p - 19. Determine j*v(z) - 2*i(z).
2*z**3
Let d(a) = -13*a**2 + 9*a + 13. Let z(g) be the first derivative of -7*g**3/3 + 5*g**2/2 + 7*g - 17. Calculate 6*d(r) - 11*z(r).
-r**2 - r + 1
Let c(r) = -21*r**3 + 15. Let t(l) = l**3 - 11*l + 11*l - 2 + 2*l**3. Give 4*c(o) + 30*t(o).
6*o**3
Let o(q) = q**3 + q**2 - q - 1. Let y(f) = 5*f**3 + 2*f**2 - 4*f - 7. Let i(u) = u**3 - 12*u**2 + 11*u + 1. Let t be i(11). Calculate t*y(j) - 4*o(j).
j**3 - 2*j**2 - 3
Let w(c) = 7*c**3 + 2*c**2 + 15. Let m(r) = 4*r**3 + r**2 + 8. Let t = -4 - -8. Suppose -2*b + 4*n = -20, -b + 4*n - 5*n = -t. Calculate b*w(y) - 11*m(y).
-2*y**3 + y**2 + 2
Let z = -6 - -3. Suppose -10 = -4*b - 2. Let a(y) = -5*y + 3 + 2*y - b*y + 4*y. Let u(d) = 1. Give z*u(r) + a(r).
-r
Let n(s) = 3*s - 11. Let k be (-2)/(-6) - (-5)/3. Suppose -1 = k*u + 1. Let i = u - 7. Let t(y) = y - 4. Give i*t(z) + 3*n(z).
z - 1
Suppose 3*x - 51 = 6*x. Let n(m) = 4*m - 1. Suppose q = -2*q - 4*i + 18, 0 = 5*q - 5*i - 30. Let c(v) = 11*v - 3. What is q*c(w) + x*n(w)?
-2*w - 1
Let y = -114 - -118. Let u(f) be the first derivative of -5/2*f**2 - 2 + 1/3*f**3 - y*f. Let i(d) = d**2 - 4*d - 3. Determine -4*i(t) + 3*u(t).
-t**2 + t
Let v(n) = 0*n**2 + 2*n**3 + 2*n**2 - 2*n + 0*n**3 + 3. Let x(w) = -w**3 - 1. Let y(m) = 0 + 4 - 3*m - 2 + 1. Let p be y(2). Give p*x(t) - v(t).
t**3 - 2*t**2 + 2*t
Let i(j) = j**3 + 5*j**2. Let g(k) = -4*k**3 - 16*k**2. Give 5*g(u) + 16*i(u).
-4*u**3
Let h(n) = -n**3 - n - 1. Let z(m) = -m**2 + 8. Let q be z(-3). Let s(o) = o**3 - 2*o**2 + 2*o + 1. Determine q*s(x) - 2*h(x).
x**3 + 2*x**2 + 1
Let r(w) = -4*w. Let c(x) be the second derivative of x**6/240 + x**4/4 - 2*x. Let y(z) be the third derivative of c(z). Calculate -4*r(p) - 5*y(p).
p
Let i(a) = 7*a**2 + 3*a. Let b(l) = 8*l**2 + 4*l. Calculate -3*b(d) + 4*i(d).
4*d**2
Let s(a) = -a. Suppose 0 = -5*b + 4*i - 4, 5*i = -15 - 5. Let x(g) = -9*g. Calculate b*s(p) + x(p).
-5*p
Let x(h) = -h + 1. Let g(a) = -9*a + 3. Determine g(s) - 6*x(s).
-3*s - 3
Let k(u) = 2*u**2 - 2*u - 2. Let z(y) = 8*y**2 - 3 - 4*y - 5*y - 5 - y**3. Suppose -28 = -4*p - 4*d, 3*d - 22 - 3 = -5*p. What is p*z(n) - 9*k(n)?
-2*n**3 - 2*n**2 + 2
Let g(x) = -13*x. Let p(d) = d**2 + 39*d. What is 7*g(q) + 2*p(q)?
2*q**2 - 13*q
Let r(k) = -41*k + 4 - 38*k + 80*k. Let w(l) = -2*l - 7. Calculate 5*r(m) + 3*w(m).
-m - 1
Let m(i) = -13*i - 15. Let u(n) = -4*n - 5. Let y(x) = -2*m(x) + 7*u(x). Suppose 0 = -3*f + 1 + 11. Let j(a) = 3*a + 6. Let q = 2 + 3. What is f*j(g) + q*y(g)?
2*g - 1
Let m(v) = 5*v + 12. Let l(h) = h. Determine -6*l(z) + m(z).
-z + 12
Let u(x) = 17*x**3 + 4. Let o be (4/10)/((-1)/(-5)). Suppose -2*w - o*w - 24 = 0. Let v(z) = -4*z**3 - 1. Calculate w*u(i) - 26*v(i).
2*i**3 + 2
Let v(f) = 7*f**3 - f**2 - 5*f + 6. Let c(l) be the first derivative of -5*l + 1 - 3/2*l**4 + 1/3*l**3 + 2*l**2. What is 5*c(b) + 4*v(b)?
-2*b**3 + b**2 - 1
Let o(m) = 4*m**3 + 4*m**2 + 2*m - 4. Let h(g) = 5*g**3 + 5*g**2 + 3*g - 5. Suppose -2 + 6 = 2*j. Calculate j*h(t) - 3*o(t).
-2*t**3 - 2*t**2 + 2
Let i(m) = -32*m**2 - 8*m + 8. Let l(d) = d - 1. Calculate i(z) + 8*l(z).
-32*z**2
Let a(r) = -14*r. Let v(g) = -g. Calc