l - 2
Let p(v) = 10*v - 35. Let h(f) be the first derivative of 40 - 4*f + 1/2*f**2. Give -35*h(b) + 4*p(b).
5*b
Let k(r) = -3*r**2 + 2. Let g(m) = -m**2 + 1. Suppose -l + 0 = 3. Let v be 60/36 - 1/l. Determine v*g(d) - k(d).
d**2
Let s(h) = -h - 55. Let q(k) = -k - 26. Determine 7*q(t) - 3*s(t).
-4*t - 17
Suppose 4*f - 16 = -0. Let x(u) = -f*u + 63 + 7*u - 27 - 35. Let i(s) = -2*s. Calculate -2*i(j) - 2*x(j).
-2*j - 2
Let t(h) = -2*h**2 - 5*h + 18. Let p(n) = n**2 - 2. What is 6*p(f) + t(f)?
4*f**2 - 5*f + 6
Let y(c) = 3*c**3 + 2*c**2. Suppose -3*m + 10 = -5*j, 14*j = 11*j - 3*m - 6. Let u(w) = 3*w**3 + 3*w**2 + w - 1. Calculate j*u(l) + 3*y(l).
3*l**3 - 2*l + 2
Let i(v) = -10*v**2 - 4*v - 5. Let y(g) = -2 + 349*g**2 + 3 - 347*g**2 + g. Determine 2*i(c) + 11*y(c).
2*c**2 + 3*c + 1
Let j(y) be the third derivative of 0 - 3/20*y**5 - 3/2*y**3 - 1/40*y**6 + 3/8*y**4 + 0*y - 15*y**2. Let m(l) = l**3 + 4*l**2 - 4*l + 4. Give 4*j(v) + 9*m(v).
-3*v**3
Let h(j) = 7*j**2 - 7*j - 14*j**2 + 18*j**3 - 17*j**3. Let w(l) = -l**3 + 6*l**2 + 6*l. Let b(g) = -g + 3. Let a be b(-4). Determine a*w(z) + 6*h(z).
-z**3
Let h(p) = -5*p**3 - p**2 + 20*p - 2. Let v(k) = -k**3 + k - 1. Determine h(g) - 2*v(g).
-3*g**3 - g**2 + 18*g
Let i(n) be the second derivative of -n**3/2 - 3*n**2/2 + n - 37. Let w = 8 - 4. Let h(s) = -2 + 1 - s + 0. Give w*h(j) - i(j).
-j - 1
Let k(r) = -r**2 + r - 1. Let a(n) = n**2 - 7*n + 20. Calculate -a(q) - 5*k(q).
4*q**2 + 2*q - 15
Let x(l) = 12*l - 9. Let k(i) = 2. Calculate 5*k(o) + x(o).
12*o + 1
Let d(n) = 3*n**2 + 5*n - 4. Let k(x) = 8*x**2 + 14*x - 11. Let u = -203 + 207. What is u*k(i) - 11*d(i)?
-i**2 + i
Let f(w) = -136*w**3 + 8*w**2 + 7*w + 16. Let d(c) = 46*c**3 - 3*c**2 - 3*c - 6. What is -8*d(a) - 3*f(a)?
40*a**3 + 3*a
Let z(j) = -7*j - 5. Let u(v) = -22*v - 16. Let f(x) = -3*u(x) + 10*z(x). Let r(p) = -8 - 9 - 4 + 27 - 7. Give f(l) - 2*r(l).
-4*l
Let f(m) = 97*m**2 - 4*m + 12. Let k(o) = o - 2. Calculate f(i) + 4*k(i).
97*i**2 + 4
Let x(k) = 7*k + 2. Let z(j) be the third derivative of -j**4/8 - j**3/6 - 90*j**2. Give -3*x(f) - 5*z(f).
-6*f - 1
Let y(x) = 6*x**2 + 7*x - 3. Let n(g) = -9*g**2 - 10*g + 5. Calculate -5*n(r) - 7*y(r).
3*r**2 + r - 4
Let p(w) = -5*w**2. Let u be ((-35)/28)/(1/4). Let q(a) = 5*a**2. Give u*p(n) - 6*q(n).
-5*n**2
Let g(h) be the second derivative of -7*h**3/3 - 53*h**2/2 + 20*h. Let m(w) = -3*w - 13. Let r(a) = 2*g(a) - 9*m(a). Let y(k) = -1. Give -r(q) - 6*y(q).
q - 5
Let i(h) = h**2 + 8*h + 3. Let f(d) = -d - 1. Let g(n) = -n**3 - n**2 + 2*n + 3. Let j be 12/(20/5) + -3. Let m be g(j). What is m*f(r) + i(r)?
r**2 + 5*r
Let a(d) = 5*d**3 + 36*d + 10. Let n(k) = -31*k - 33*k + 115*k - 44*k + k**3 + 2. Give -2*a(r) + 11*n(r).
r**3 + 5*r + 2
Let t(o) be the first derivative of o**3 + o**2 - 734. Let l(s) = -6*s + 10*s + 9*s + 19*s**2. Let k = -69 + 108. What is k*t(n) - 6*l(n)?
3*n**2
Let o(u) = 9*u - 106*u**2 + 10*u - 100*u**2 + 219*u**2. Let l(t) = 7*t**2 + 10*t. Determine 11*l(y) - 6*o(y).
-y**2 - 4*y
Let c(h) = -402*h**2 - 14*h + 14. Let z(p) = 80*p**2 + 3*p - 3. What is -3*c(o) - 14*z(o)?
86*o**2
Suppose 0 = -3*k - 36 + 6. Let l = k + 14. Let t(v) = 5*v - l*v + 5*v - 1 - 3*v. Let a(g) = -g + 1. Calculate -2*a(w) - t(w).
-w - 1
Let t be 2 + -5 + 6 + -1. Let l(u) = -4 - u**t - 39*u + 76*u - 33*u. Let m(s) = -5*s + 5. What is -4*l(o) - 3*m(o)?
4*o**2 - o + 1
Let o(m) = 3*m. Let w(k) = -3*k - 21. Let q be w(-4). Let x(g) = 12*g + 1. Let s = -23 - -25. Determine q*o(a) + s*x(a).
-3*a + 2
Let c(w) = w**3 - w - 4. Let j(t) = -14*t**3 + 5*t + 18. Calculate -5*c(v) - j(v).
9*v**3 + 2
Let b(j) = 9*j**3 + 7*j**2 - 7. Let s(o) = -3399*o**3 - 2*o**2 + 3396*o**3 + 1 + 1. What is 6*b(d) + 21*s(d)?
-9*d**3
Let c(m) = 120 - 369 + 122 + 122. Suppose 3*w = -5*v - 28, -5*v + 5*w + 0*w = 20. Let p(s) = s - 11. Determine v*c(x) + 2*p(x).
2*x + 3
Let k(y) = 9*y. Let w(m) = 159*m - 4. Let t(o) = 3*o - 1. Let x(j) = 12*t(j) - 3*w(j). Calculate -99*k(a) - 2*x(a).
-9*a
Let t(f) = 58*f + 4. Let q(g) = 174*g + 14. Calculate 2*q(m) - 7*t(m).
-58*m
Let a(f) = f + 10. Let w be a(4). Let i(b) = b**2 - 10. Let d(v) be the third derivative of -v**3/6 + 14*v**2 - v. Determine w*d(x) - 2*i(x).
-2*x**2 + 6
Let z(r) = -2*r**2 - r - 2. Let q(l) = 825*l**2 + 330*l + 660. Determine -q(m) - 330*z(m).
-165*m**2
Let r(o) = o. Let a(h) = -8*h. What is 3*a(n) + 3*r(n)?
-21*n
Let l(a) = -a - 5. Let m(s) = 1. Let n(c) = c + 4. Let k be n(-5). What is k*l(w) - 3*m(w)?
w + 2
Let y(q) = 2*q**2 - 2*q - 3. Let h(c) = -2*c**2 + 21*c + 68. Let x be h(13). Let f(g) = 3*g**2 - 2*g - 4. Calculate x*f(p) - 4*y(p).
p**2 + 2*p
Let o(y) = -15*y**3 + 7*y**2 + 7*y - 7. Let z be -1*(3 - -1)*(-3 + 4). Let a(t) = -7*t**3 + 4*t**2 + 4*t - 4. What is z*o(u) + 7*a(u)?
11*u**3
Suppose 4 + 11 = 3*u, 4*h + u - 5 = 0. Let v(o) = 2*o**3 + 12*o**2 + 4*o - 8*o**2 + h*o**3. Let j(t) = 2*t**3 + 5*t**2 + 5*t. Determine 4*j(b) - 5*v(b).
-2*b**3
Let g(n) = n + 3. Let m(p) = -28*p - 19. Determine -6*g(u) - m(u).
22*u + 1
Let l(i) = -4*i + 2. Let t(p) = -7*p + 5. Suppose -6*x + 9*x = q + 31, 3*x + 4*q - 41 = 0. Give x*l(c) - 6*t(c).
-2*c - 8
Let f(b) = b + 2. Let t(g) = 15*g - 6. What is 6*f(s) + t(s)?
21*s + 6
Suppose -18 = 2*y - 4*b, 2*y = -0*y - b + 2. Suppose 0 = 6*w - 0 + 48. Let s(u) = u - 1. Let j(a) = -12*a + 6. What is w*s(m) + y*j(m)?
4*m + 2
Let m(x) = 3*x**2 + x + 5. Suppose 0 = 4*f - 12. Let g(b) = 10 + 3*b**2 + 2 - 6 + b. Determine f*g(q) - 4*m(q).
-3*q**2 - q - 2
Suppose -2*x + 7*x - 15 = 0. Let l(b) = 3*b**3 + 8*b**2 + 8*b - 5. Let t(k) = 7762*k + 2 + 2*k**3 - 7765*k - 3*k**2 - 3*k**3. Determine x*l(q) + 8*t(q).
q**3 + 1
Let w(x) = -x**2 - 6*x + 7. Let n be (-169)/(-78) - -1*1/(-6). Suppose -n*y + 3*y - 22 = 4*f, -3*y = 2*f - 38. Let o(a) = -a + 1. What is y*o(s) - 2*w(s)?
2*s**2 - 2*s
Let r(w) = 12*w**2 - 8*w + 8. Let j(b) = b**3 + 13*b**2 + 20*b - 18. Let f be j(-11). Let n(u) = u - 13*u + 3 + 8*u + u + f*u**2. What is 8*n(h) - 3*r(h)?
-4*h**2
Let l(p) = 1 - 6 - 5*p - 2*p. Let s(m) be the third derivative of 5*m**4/6 + 7*m**3/3 + 977*m**2. Determine -17*l(u) - 6*s(u).
-u + 1
Let i(t) = 9*t**3 + t**2 + 6*t + 24. Let y(s) = -8*s**3 - s**2 - 5*s - 24. Calculate 5*i(u) + 6*y(u).
-3*u**3 - u**2 - 24
Let v(j) = 15*j - 1. Let r(w) = 1252 - 12*w - 1252 + 19*w. Calculate 13*r(y) - 6*v(y).
y + 6
Suppose 1 = -2*w - 4*f - 1, -w + 3*f = -14. Suppose -10 = w*z - 5. Let o(u) = 0*u**2 + 0*u**2 + u**3. Let t(l) = 4*l**3. Determine z*t(h) + 5*o(h).
h**3
Let k(s) be the second derivative of 7*s**3 + 44*s - 1. Let o(i) = -525*i. Give 63*k(f) + 5*o(f).
21*f
Let f(x) = 2*x**2 - 2*x - 15. Suppose 4*l + 44 = -0. Let c(o) = o**2 - o - 8. Give l*c(v) + 6*f(v).
v**2 - v - 2
Let q(n) = -14*n - 14. Let m be ((-32)/48)/(2/6). Let o = m - 6. Let h(x) = -9*x - 9. What is o*h(f) + 5*q(f)?
2*f + 2
Let m(i) = -34*i**2 + 4*i + 19. Let f(w) = 5*w**2 - w - 1. Give 14*f(u) + 2*m(u).
2*u**2 - 6*u + 24
Let k(b) = b - 344. Let i(h) = -h + 229. Give -7*i(z) - 5*k(z).
2*z + 117
Let q(u) be the first derivative of -u**2/2 + 673. Let n(f) be the third derivative of -5*f**4/24 + f**3/3 + f**2. Calculate -n(s) + 6*q(s).
-s - 2
Let v(s) = s**3 - s**2 - 1. Let b(q) = 16*q**3 - 6*q**2 - 15*q**3 - 6 + 12*q**3 - 12*q**3. Determine b(c) - 6*v(c).
-5*c**3
Suppose 30 = 182*w - 185*w. Let y(t) be the third derivative of t**5/60 - t**3/3 + 5*t**2. Let r(j) = 3*j**2 - 5. Give w*y(i) + 4*r(i).
2*i**2
Let d(p) be the first derivative of -p**2 - 5*p + 1. Let g(s) = 6*s + 14. Let k(i) = -147*i + 449. Let m be k(3). What is m*d(b) + 3*g(b)?
2*b + 2
Let w(l) = -30*l**2 + 2 + 2*l + 32*l**2 - 3*l**2. Let p(d) = -7*d**2 + 13*d + 13. What is -6*p(v) + 39*w(v)?
3*v**2
Let h(p) = -3*p + 26. Let j(a) = a - 9. Let o be (-5)/(-3) + (-1380)/(-90). Calculate o*j(g) + 6*h(g).
-g + 3
Let c(g) = -271760*g. Let r(s) = -826*s. Determine -6*c(h) + 1975*r(h).
-790*h
Let j(q) = -9*q**3 - 3*q**2 + 21*q - 240. Let z(k) = -5*k**3 - 2*k**2 + 12*k - 120. Determine 4*j(y) - 7*z(y).
-y**3 + 2*y**2 - 120
Let f(o) = o**2 + o - 1. Let c(k) = 5*k**2 + 6*k + 1. Let v(r) = -10*r**2 - 12*r. Let i(l) = -7*c(l) - 4*v(l). Calculate 4*f(y) - i(y).
-y**2 - 2*y + 3
Let b(n) = -2*n**3 + 35*n**2 + 6*n - 2. Let w(u) = u**3 - 18*u**2 - 3*u + 1. Calculate -3*b(v) 