 4
Let k(b) = -1. Let t(f) be the second derivative of f**4/12 - f**3 + 2*f**2 + 16*f. Let v be t(5). Let o(z) = z - 4. Determine v*o(w) + 3*k(w).
-w + 1
Suppose 83*w - 27*w = 336. Let h(i) = i**2 + 1. Let a(l) = 5*l**2 - l + 7. Calculate w*h(q) - a(q).
q**2 + q - 1
Let k(a) = 11*a**2 + 293*a - 15. Let c(q) = 18*q**2 + 440*q - 24. Determine -5*c(m) + 8*k(m).
-2*m**2 + 144*m
Let l(g) = -9*g**2 + 11*g - 13. Suppose 6*o = 20*o + 84. Let w(m) = -5*m**2 + 6*m - 7. Let x be 2/(-9) + (-202)/(-18). Give o*l(y) + x*w(y).
-y**2 + 1
Let a(g) = 7*g**3 + 6. Let s be (6 + -1)*(-12)/10. Let k(p) = 11*p**3 + 4*p**3 - 23366 + 23379. Calculate s*k(b) + 13*a(b).
b**3
Let c(v) = 3*v + 8. Let k = 123 - 120. Let f(m) = -m**2 + 5*m - 3. Let a be f(6). Let x be 3*(-3)/(a/k). Let q(t) = -t - 3. What is x*c(r) + 8*q(r)?
r
Let r(f) = -212*f**2 - 5. Let q(j) = -4872*j**2 - 116. Determine -5*q(i) + 116*r(i).
-232*i**2
Let h(l) = -2*l + 21. Let f(a) = -2*a + 21. What is 2*f(p) - 3*h(p)?
2*p - 21
Let l(t) = 12*t - 9. Let y(v) = -25*v + 21. Determine -5*l(u) - 2*y(u).
-10*u + 3
Let k(z) = -55*z. Let o(h) = -5*h. Let f(i) = -6*k(i) + 65*o(i). Let m(n) = 21*n. Suppose -23 - 25 = 8*r. Give r*m(p) + 26*f(p).
4*p
Let i(h) = 5*h**3 + 4*h**2 + 4*h + 6. Let y(a) = -6*a**3 - 5*a**2 - 5*a - 7. Let m be (0/1 + 4)/2. Suppose 14*x = m*x + 48. Calculate x*y(p) + 5*i(p).
p**3 + 2
Let r be 32/(-10)*(-30)/12. Let h(z) = -3*z + 0 + r*z**3 + 16 - 22*z**3 - 2. Let p(y) = -5*y**3 - y + 5. Calculate 3*h(x) - 8*p(x).
-2*x**3 - x + 2
Let a(o) = 10 - 10*o**2 - 10*o**3 + 75*o - 75*o. Let u(b) = -b**3 + b**2 + b + 14. Let j be u(0). Let z(x) = -2*x**3 - 2*x**2 + 2. What is j*z(c) - 3*a(c)?
2*c**3 + 2*c**2 - 2
Let g(d) = -2*d - 2. Let p(c) = 4*c**3 - 2*c**2 - 8*c - 7. Let f be p(-1). Let s(i) = -i**2 + 3*i + 3. Calculate f*g(n) - 3*s(n).
3*n**2 + n + 1
Let r(t) = 13*t**3 - 3*t. Let n(q) = -220*q**3 + 50*q. Let b(d) = d**3 - 23*d**2 - 49*d - 22. Let s be b(25). What is s*n(l) + 50*r(l)?
-10*l**3
Let o(y) = y**3 + y**2 + y + 1. Let m(q) = -3*q**3 - 6*q**2 + 10*q - 4. What is m(b) + 5*o(b)?
2*b**3 - b**2 + 15*b + 1
Let z(s) = 15*s - 11. Let u(x) = 10*x - 7. Let q(h) = 42*h + 121. Let i be q(-3). Determine i*z(v) + 8*u(v).
5*v - 1
Let n be (-3)/15 - 102/(-10). Let j(x) = 9*x + 11. Let m(b) = 5*b + 6. Let h(f) = 6*j(f) - 11*m(f). Let s(y) = -y - y - 19 + 19. Determine n*h(p) - 4*s(p).
-2*p
Let g(z) = -186 + 12*z + 87 + 92. Let l(m) be the second derivative of 2*m**3/3 - m**2 + 8*m. Determine 2*g(p) - 7*l(p).
-4*p
Let s(f) = -5*f - 8. Let t(j) = 27*j + 41. What is -22*s(w) - 4*t(w)?
2*w + 12
Let q(t) = -4*t**3 + t**2. Let o(m) = -1. What is -2*o(d) + q(d)?
-4*d**3 + d**2 + 2
Let h(v) = 22*v**2 - 11*v - 22. Let y(x) = 11*x**2 - 6*x - 13. What is 3*h(k) - 5*y(k)?
11*k**2 - 3*k - 1
Let x(t) = t**2 + t - 1. Let w(h) = 7*h**2 + 13*h - 4. Give -w(p) + 3*x(p).
-4*p**2 - 10*p + 1
Let q(d) = -7*d + 9. Let m = 4 + -8. Let o = -13 + 22. Let n(i) = -6*i + 13. Let k(c) = 3*c - 7. Let g(j) = 5*k(j) + 3*n(j). Give m*q(y) + o*g(y).
y
Let a(l) = -4*l**2 + 4*l - 2. Let r(z) be the third derivative of -z**5/12 + 5*z**4/24 - z**3/2 - z**2 + 44*z. Calculate -4*a(b) + 3*r(b).
b**2 - b - 1
Let v(j) = 3. Let h(w) = w - 190. What is h(u) - 6*v(u)?
u - 208
Let c(k) = -k**2 + 3*k + 1. Let n(i) = -6*i**2 + 17*i + 14. Give 5*c(g) - n(g).
g**2 - 2*g - 9
Let b(j) = 4*j**2 - j + 1. Let f(a) = -3*a - 4. Let m be f(-2). Let d(t) = -13*t**m - 11*t - 3 - 18*t - 12*t + 45*t. What is 7*b(i) + 2*d(i)?
2*i**2 + i + 1
Let x(c) = 106*c + 12. Let b(d) = -210*d - 31. Give 3*b(m) + 7*x(m).
112*m - 9
Let t(m) = 7*m - 3. Suppose 0 = 7*a - 2*a - 25. Let x(y) = -14*y + 5. What is a*t(q) + 3*x(q)?
-7*q
Let q(v) = 2*v**3 + v**2 + v - 1. Let x(g) = 401*g**3 + 6*g**2 + 6*g - 6. What is 6*q(p) - x(p)?
-389*p**3
Suppose 23 = 5*c + 3*i - 2*i, -3*i = -9. Let q(v) = 2*v - 6. Let n(b) = -b + 5. What is c*n(w) + 3*q(w)?
2*w + 2
Let o(t) = t - 1. Let k(y) be the third derivative of -y**4/8 + y**3/6 - 23*y**2 - 1. Determine -k(n) - 2*o(n).
n + 1
Let s(a) = -26*a**3 + 11*a**2 - 4*a - 237. Let p(v) = 14*v**3 - 6*v**2 + 2*v + 119. Calculate 11*p(g) + 6*s(g).
-2*g**3 - 2*g - 113
Let t(l) = -20*l + 2. Let d(m) = -11*m + 1. Give -9*d(v) + 4*t(v).
19*v - 1
Let m(t) = 7*t**3 - 7*t**2 + t - 7. Let u(r) = -13*r**3 + 12*r**2 - r + 13. Determine 5*m(l) + 3*u(l).
-4*l**3 + l**2 + 2*l + 4
Let g(q) = -160 + 7*q**2 + 160 - 3*q + 4*q. Let b(u) = 24*u**2 + 3*u + 4. Let c(t) = 71*t**2 + 9*t + 11. Let s(d) = -11*b(d) + 4*c(d). What is 11*g(n) - 4*s(n)?
-3*n**2 - n
Let l(o) = 8*o**2 - 2*o - 5. Suppose -5*h = -25, -5*s + 2*h + 2*h = 25. Let t(c) = c**2 - 1. Determine s*l(j) + 6*t(j).
-2*j**2 + 2*j - 1
Let k(f) = -2*f + 7. Let c be ((-24)/(-20))/(7/35). Let g(y) = -10*y + 13. Let n(s) = -21*s + 26. Let q(h) = c*n(h) - 13*g(h). Calculate -7*k(d) - 4*q(d).
-2*d + 3
Let h(b) be the second derivative of -4*b**4/3 + 11*b**3/6 - 3*b. Let q be 4/(-16) - (69/(-4) + -5). Let x(z) = -3*z**2 + 2*z. Determine q*x(v) - 4*h(v).
-2*v**2
Let i(o) = 3*o**2 + 14*o - 20. Let h = 45 + -42. Suppose 7*s - h*s + 12 = 0. Let m(v) = -v**2 - 5*v + 7. Give s*i(u) - 8*m(u).
-u**2 - 2*u + 4
Let s(o) = -o + 1. Let w(h) be the second derivative of h**3/6 - h**2 - 28*h - 2. Let a = -2 + -5. Calculate a*s(b) - 4*w(b).
3*b + 1
Let o(l) = l**2 - 6*l + 6. Let d(x) = -x**3 - 2*x**2 + 13*x - 13. Let f be 69/12 - (0 - (-1)/(-4)). Give f*d(c) + 13*o(c).
-6*c**3 + c**2
Let m(b) = -114*b**3 - 21*b**2 - 7*b - 5. Let w(u) = -57*u**3 - 12*u**2 - 4*u - 3. Calculate -4*m(j) + 7*w(j).
57*j**3 - 1
Let y(l) = 2*l + 1. Let k(w) = 11*w - 54. What is -k(q) + 6*y(q)?
q + 60
Let h(l) = -131*l**3 - 2*l - 2. Let q(x) = 42183*x**3 + 645*x + 645. What is -645*h(m) - 2*q(m)?
129*m**3
Suppose -17 = 5*q - 2. Let s(k) = -4*k - 65. Let c = 80 + -96. Let o be s(c). Let g(a) = -4*a**2 - 3. Let n(j) = j**2 + 1. Calculate o*g(m) + q*n(m).
m**2
Let o(h) = -2*h - 7*h + 20*h - 7*h + h. Let s(l) = l. Calculate -o(j) + 3*s(j).
-2*j
Let x(y) = 52*y**2 - 6*y - 12. Let h(q) = 9*q**2 - q - 2. Let o(c) = -11*h(c) + 2*x(c). Let b(g) = -g**2 - g + 1. What is 3*b(t) + o(t)?
2*t**2 - 4*t + 1
Let b(p) = -28*p**3 + 546*p + 11. Let a(r) = -10*r**3 + 182*r + 4. What is -11*a(c) + 4*b(c)?
-2*c**3 + 182*c
Let a(i) = -i - 1. Suppose 0 = x - 25 - 0. Let f(k) = x*k + 8*k - 8*k + 30. Determine -30*a(r) - f(r).
5*r
Let t(p) = -p - 4. Suppose 0 = -4*s - 134 + 122. Let f(k) = -1. Calculate s*f(m) + t(m).
-m - 1
Let b(k) = 6*k**2 - 2*k - 17. Let l(h) = -11*h**2 + 4*h + 35. Determine 7*b(y) + 4*l(y).
-2*y**2 + 2*y + 21
Let f(a) = a**2 + 14*a + 4. Let y(g) = -2*g**2 + 1. Calculate -f(w) - y(w).
w**2 - 14*w - 5
Let n(a) = -5*a + 4. Let y(d) = 21*d - 17. Suppose 25*c = 29*c - 24. Give c*y(w) + 26*n(w).
-4*w + 2
Let x(g) = 2*g**2 + 6*g + 4. Let m(t) = t**2 + 5*t + 3. Let l = 5 - 3. Let s = -5 + l. Let v be (-54)/(6 - 12) + -5. What is s*x(q) + v*m(q)?
-2*q**2 + 2*q
Let h(s) = -3*s**3 - s**2. Suppose 68 = 8*f + 9*f. Let a(w) = -w**2. Give f*a(n) - h(n).
3*n**3 - 3*n**2
Let u(f) = -1. Let n(b) = 2*b**3 + 28*b**2 + 3*b + 39. Let d be n(-14). Let a(k) = -3*k**3 - 4. Calculate d*a(j) + 12*u(j).
9*j**3
Let x(v) = -v. Let i(l) = -l**2 - 8*l + 2. Let o = 9 + -7. Suppose 7*w = 5*w + o. Calculate w*i(h) - 5*x(h).
-h**2 - 3*h + 2
Let u(f) = -f**3 - 5*f**2 + 2. Let k(v) = -v**3 - 6*v**2 + 2. Let p be 18*((-2)/(-3))/(-2). Calculate p*u(s) + 5*k(s).
s**3 - 2
Let z(f) be the third derivative of -f**3/6 - 348*f**2. Let u(d) = d + 5. What is -u(c) - 2*z(c)?
-c - 3
Let a(k) = -2*k**2 + 8*k + 2. Let z = 283 - 282. Let y(d) = d. Give z*a(q) - 10*y(q).
-2*q**2 - 2*q + 2
Let s = 54 - 55. Let w(c) = 0*c + c**2 - c + c + c. Let l(v) = -3*v**2. Calculate s*l(p) - 2*w(p).
p**2 - 2*p
Let t(w) be the third derivative of -w**6/30 + w**5/15 - w**4/12 - 2*w**3/3 - 2*w**2 - 6*w. Let q(a) = -4*a**3 + 3*a**2 - a - 3. Give -4*q(k) + 3*t(k).
4*k**3 - 2*k
Let q(a) = -16*a**3 - 5*a**2 + 6*a + 7. Let s(n) = 14*n**3 + 5*n**2 - 5*n - 6. Calculate -6*q(l) - 7*s(l).
-2*l**3 - 5*l**2 - l
Let n(f) = -f**2. Let b(k) = -k**3 - 4*k**2 - 15*k - 1. Determine b(x) - 2*n(x).
-x**3 - 2*x**2 - 15*x - 1
Let v(o) = -475*o**2 - 26*o - 9. Let b(x) = 238*x**2 + 12*x + 4. Calculate -13*b(a) - 6*v(a).
-244*a**2 + 2
Let z(a) = 2*a + 1. Suppose 13