- v**2/2 + v. Let t(k) be the second derivative of 5*k**4/12 - k**2/2 + 2*k. Determine 3*s(l) - 2*t(l).
2*l**2 - 1
Let r(d) = 2*d**2 - 3*d + 6. Let p(z) = -4*z**2 + 5*z - 13. Calculate -6*p(i) - 13*r(i).
-2*i**2 + 9*i
Suppose 11 = -5*p - 4*f - 2, 0 = -2*p + f. Let j be ((-5)/(-2) - 2)*-2. Let c(n) = n + 1. Let q(d) = -2*d - 2. What is j*c(a) + p*q(a)?
a + 1
Suppose -3*v - 1 = -5*h, v + 5 - 14 = -3*h. Let n(m) = -h*m + 0 + 1 + m. Let s(r) = 4*r - 3. What is 7*n(a) + 2*s(a)?
a + 1
Let v(g) = 9 - g - 9. Let u be v(-4). Let r(k) = -5*k - 3. Let b(f) = 9*f + 5. What is u*b(j) + 7*r(j)?
j - 1
Let z(o) = o + 9 - 2*o + 2*o - 8. Let j(g) = g + 2. Determine 2*j(k) - 3*z(k).
-k + 1
Let o(k) = 7*k**2 + 5*k + 7. Let t(b) = 3*b**2 + 3*b + 3. Calculate 4*o(n) - 9*t(n).
n**2 - 7*n + 1
Let b(u) = 10*u**3 - 7*u**2 - 7*u + 7. Let f(m) = m**2 + 12*m + 6. Let x be f(-11). Let t(j) = 7*j**3 - 5*j**2 - 5*j + 5. What is x*b(w) + 7*t(w)?
-w**3
Let b(x) = 6*x**2 - 5*x + 4. Let g(v) = -5*v**2 + 4*v - 3. Give -3*b(d) - 4*g(d).
2*d**2 - d
Let v(s) be the third derivative of s**8/10080 + s**7/5040 - s**5/15 - 3*s**2. Let k(q) be the third derivative of v(q). Let o(r) = -1. Calculate k(n) - o(n).
2*n**2 + n + 1
Let p = -26 + 25. Let n = 7 + -13. Let k(o) = 1. Let g(f) be the first derivative of -f**2 - 6*f + 1. Determine n*k(b) + p*g(b).
2*b
Let u(c) be the first derivative of -c**3 + 9. Let f(j) = -2*j**2. Calculate -7*f(d) + 5*u(d).
-d**2
Let j(a) = 6*a**3 - 2*a**2 + a - 4. Let r(o) = -13*o**3 + 4*o**2 - 2*o + 9. What is -9*j(i) - 4*r(i)?
-2*i**3 + 2*i**2 - i
Let p(b) = -12*b**2 - 4*b + 3. Let f(v) = 35*v**2 + 11*v - 8. Give -3*f(q) - 8*p(q).
-9*q**2 - q
Let d be 18/(-4) - (-12)/8. Let t be 4/(-10) - (-64)/10. Let l(m) = 0*m + t + 13*m + m. Let c(v) = 5*v + 2. Calculate d*l(f) + 8*c(f).
-2*f - 2
Let p(u) = -7*u + 1. Let r(i) = -4 + 7 - 4*i - 10*i. Let s(v) = -13*p(v) + 6*r(v). Let k(o) = 4 + 3*o + 7*o - 4*o. Give -5*k(y) + 4*s(y).
-2*y
Suppose 2*d - 5*d = 18. Let h(p) = 9*p - 7. Suppose 0 = 2*z - 4*g - 8, -19 = -3*z + 2*g - 3. Let v(u) = 8 + 4 - 14*u - 6 + z*u. Calculate d*h(l) - 7*v(l).
2*l
Let o(l) = -l + 2. Let j = 26 - 27. Let a(g) = 1. Calculate j*o(u) + 3*a(u).
u + 1
Suppose 24 = 4*j - 5*v, 10 = 3*j - 2*v - 1. Let a be 4/(4/(-5)) - j. Let g = a + 4. Let h(f) = 16*f - 11. Let n(b) = 3*b - 2. Give g*h(l) + 11*n(l).
l
Let f(d) = -d**3 + d**2. Let z(g) = -3*g**3 + 2*g**2 - 2. Let a = -44 + 48. Give a*f(c) - z(c).
-c**3 + 2*c**2 + 2
Let h(b) = -6*b**2 + 10*b. Let j(q) = q**2 - 2*q. Let r be 1 + (-2)/6 - 40/15. Determine r*h(f) - 11*j(f).
f**2 + 2*f
Let s(l) = -l. Let g(v) = 3. What is -g(i) - 3*s(i)?
3*i - 3
Let t(f) = -12*f**3 - 3*f**2 + 3*f. Let k(l) = -25*l**3 - 5*l**2 + 5*l. Calculate 3*k(q) - 5*t(q).
-15*q**3
Let k(v) = -v**2 - v - 1. Let h(x) = -x**3 + 3*x**2 + 6*x - 6. Let z be h(4). Let n(q) = -2*q**3 + q**2 + 2*q + 2. Let t = -18 + 19. Determine t*n(a) + z*k(a).
-2*a**3 - a**2
Let f = 6 - 7. Let h(r) = 4*r**2 + r + 4. Let l be (-4)/14 + 16/7. Let i(n) = -13 - n**2 + 14 + l*n**2. Calculate f*h(j) + 3*i(j).
-j**2 - j - 1
Let k(b) = 21*b**3 - 5*b**2 + 5. Let y(x) = -104*x**3 + 24*x**2 - 24. Give 24*k(l) + 5*y(l).
-16*l**3
Let q(l) = l. Let h(u) = u - 1. Calculate h(k) - 2*q(k).
-k - 1
Let q(m) = m**2 - 5*m + 1. Let z be q(5). Let y(w) = -2*w - 2. Let k(r) = -1. Calculate z*y(i) - 3*k(i).
-2*i + 1
Let w(h) = 7*h**2 + 1. Let z(t) = 14*t**2 + 3. What is 5*w(c) - 2*z(c)?
7*c**2 - 1
Let u(m) = -21*m**2 - 11*m**2 - 9*m**2 - 24*m**2 - 35 + 35*m. Let n(h) = 11*h**2 - 6*h + 6. Determine -35*n(s) - 6*u(s).
5*s**2
Let z(d) = -d - 3. Let t(n) = -4. Let i(m) = -3*t(m) + 4*z(m). Let f(g) = -2*g. What is 5*f(k) - 3*i(k)?
2*k
Let y(d) = -44*d - 32. Let r(h) = -4*h - 3. Let x be (-45)/(-10)*(2/(-3))/1. Calculate x*y(g) + 32*r(g).
4*g
Let r(m) = 1. Let j(q) = -4*q**2 - 12. Let g be (24/18)/(12/9). Determine g*j(s) + 12*r(s).
-4*s**2
Let x(k) = -k. Let v(j) be the first derivative of j**5/20 + j**4/12 + j**3 + j - 2. Let a(g) be the first derivative of v(g). Calculate a(f) + 4*x(f).
f**3 + f**2 + 2*f
Let h(l) = 51*l - 2. Let p(r) = 51*r - 3. Calculate -5*h(j) + 4*p(j).
-51*j - 2
Let y(q) = 1 - 2 + 3. Let m be (4/(-6))/((-1)/(-3)). Let c(t) be the second derivative of -t**5/20 - 11*t**2/2 + 58*t. What is m*c(z) - 11*y(z)?
2*z**3
Let g(b) = -32*b**3 - 5*b**2 - 3. Let w(r) = 33*r**3 + 4*r**2 + 2. Calculate 4*g(z) + 5*w(z).
37*z**3 - 2
Let u be (2/6)/(3/81). Let q(f) = 1 - f**2 - 15*f + u*f + 5. Let r(d) = -3*d**2 - 17*d + 17. Determine -17*q(h) + 6*r(h).
-h**2
Let f(o) = 6*o**2. Let v(h) = h**2. Let t(x) = -x**3 + 10*x**2 - 1. Let a be t(10). Calculate a*f(g) + 3*v(g).
-3*g**2
Let n(z) = -2*z - 3. Let r = 10 + -12. Let s(c) = c + 2. Calculate r*n(w) - 3*s(w).
w
Let l = -104 - -102. Let i(n) = n + 1. Let s(z) = 20*z + 22. Determine l*s(t) + 44*i(t).
4*t
Let w(q) = -6*q - 5. Suppose -5*u + 36 = u. Let i(d) = -7*d - 6. Determine u*w(v) - 5*i(v).
-v
Let x(h) = 2*h - 5. Let k(w) = -8*w - 4. Let j(p) = 7*p + 3. Let v(y) = 7*j(y) + 6*k(y). Give 10*v(q) - 6*x(q).
-2*q
Let m(s) = -5*s**3 + 6*s + 6. Let i(c) = -c**3 + c + 1. Let h(p) = -p**3 - 7*p**2 + 6. Let o be h(-7). Give o*i(r) - m(r).
-r**3
Let j(u) be the first derivative of -5*u**2/2 - 3*u + 3. Let q(a) = -6*a - 5*a - 3*a - 5 + 5*a. Determine 7*j(i) - 4*q(i).
i - 1
Let n be (-56)/(-6) - 3/9. Let d = n + -17. Let v(u) = 3*u**3 + 11*u**2 - 8*u + 5. Let c(m) = -2*m**3 - 7*m**2 + 5*m - 3. Give d*c(s) - 5*v(s).
s**3 + s**2 - 1
Let r(g) = -g + 1. Let p = -8 - -5. Let m be (6 + -8)*1*-4. Let q = -7 + m. Let t(w) = -5*w + 3. Calculate p*r(a) + q*t(a).
-2*a
Let x(h) = 2*h + 2. Let n = 4 - -3. Let m(l) be the second derivative of 2*l**3/3 + 2*l**2 - 20*l. Determine n*x(a) - 4*m(a).
-2*a - 2
Let t(a) = 24*a**2 - 10*a - 21. Let k(m) = -12*m**2 + 5*m + 11. Let x(p) = 11*k(p) + 6*t(p). Let c(q) = -6*q**2 + 2*q + 2. Determine 5*c(w) + 2*x(w).
-6*w**2
Suppose 2*x + 8 = 3*m, 0*m + 3*x = 4*m - 11. Let r(t) = 4*t - 4*t - 5 - 3*t**m. Let f(g) = g**2 + 2. Let k = 45 + -47. Calculate k*r(b) - 5*f(b).
b**2
Let p(z) = 2 - z - 2 - 2 + 3. Let v(t) = 35*t - 30. Determine -30*p(d) - v(d).
-5*d
Let k(u) = u**2 - u - 2. Let l be k(-2). Let o(s) be the first derivative of s**2 + 3*s + 160. Let n(f) = -f - 2. Calculate l*o(i) + 5*n(i).
3*i + 2
Let g(n) = -n - 1. Let s(i) be the third derivative of -i**5/30 - i**4/12 - i**3/3 - 16*i**2. Determine -2*g(a) + s(a).
-2*a**2
Let s(x) = -x + 9. Suppose -2*t - 3 = -3*t. Let c be -10 + (-2)/(-3)*t. Let b(w) = -2*w + 14. Calculate c*s(v) + 5*b(v).
-2*v - 2
Let r(j) = j + 1. Let k(g) = -3*g**2 + 3*g**2 - g**3 - 5 + 0*g**2 + g. Let b be k(0). Let i(t) = -3*t - 3. Determine b*r(c) - i(c).
-2*c - 2
Let p(v) = -v - 4. Let z(l) = -4*l - 10. Let g(h) = h - 1. Let i(x) = -g(x) - z(x). Determine 6*i(s) + 17*p(s).
s - 2
Let d(o) = -48*o**3 - 3*o**2 + o - 3. Let t(h) = 95*h**3 + 5*h**2 - h + 5. Determine 5*d(b) + 3*t(b).
45*b**3 + 2*b
Let p(b) = b**3 - 6*b**2 + 4. Let r(n) = -7*n**2 + 5. What is -5*p(v) + 4*r(v)?
-5*v**3 + 2*v**2
Let x(s) be the third derivative of -s**4/3 - s**3/3 - 16*s**2. Suppose 5*o = 0, -4*o - 7 = -3*q - 40. Let g(c) = 15*c + 4. Determine q*x(i) - 6*g(i).
-2*i - 2
Let t(z) = z**3 + z**2 + z. Let q(i) = 7*i**3 + 7*i**2 + 7*i. What is q(v) - 6*t(v)?
v**3 + v**2 + v
Let y be 3/2 + (-1)/(-2). Let i(o) = 2 - 3 + 2 - o**y. Let h(u) = -6. Let l(b) = 1. Let d(p) = 6*h(p) + 33*l(p). Determine -d(g) - 2*i(g).
2*g**2 + 1
Let y(q) = -2*q**2 - 5*q. Let u(m) = -m**2 + 5*m**2 + 0*m**2 - 3*m - 5*m**2. What is 5*u(f) - 3*y(f)?
f**2
Let o(u) = 5*u + 2. Let j(v) = 2*v + 1. Let r(h) = -h**3 + 9*h**2 + 7. Let f be r(9). Let d(m) = f*j(m) - 3*o(m). Let g(q) = 2*q - 2. What is 6*d(y) + 2*g(y)?
-2*y + 2
Let k(f) = -14*f**3 - 9*f**2 - 3*f + 9. Let b(o) = -7*o**3 - 4*o**2 - o + 4. Determine -9*b(q) + 4*k(q).
7*q**3 - 3*q
Let m(w) = w**2 + w. Let j(f) = -14*f**2 - 2*f + 1. What is -j(z) - 2*m(z)?
12*z**2 - 1
Let s(j) = 6*j + 4. Let m(d) = 3*d + 2. Suppose o = 4*o - 9. Suppose 0 = 4*l + 4*q - 32, 2*l + o*q = -3*l + 36. Calculate l*s(f) - 11*m(f).
3*f + 2
Let h(z) = 5*z - 1. Let b(m) = 11*m - 1. Let a(w) = 3*b(w) - 7*h(w). Suppose 0*s + 4*s + 12 = -2*k, -4*k = 16. Let t(r) = 1. Calculate s*a(g) + 2*t(g).
2*g - 2
Let b(w) be the second deriva