 2
Let w(j) = -1. Suppose 5*s + 7 = 4*c, -2*s - 3*s - 4*c - 23 = 0. Let a(g) be the first derivative of -g**2/2 + 3*g - 82. Give s*a(q) - 8*w(q).
3*q - 1
Let z(m) = -40568*m - 82980. Let s(i) = -5*i - 10. Calculate -16596*s(j) + 2*z(j).
1844*j
Let n(h) = -2900*h. Let c(o) = -1397802*o. What is 3*c(z) - 1447*n(z)?
2894*z
Let i(b) = b**3 - b**2 + b - 3. Let p(y) = 15*y**3 - y**2 - 4*y + 5. Give 3*i(k) + p(k).
18*k**3 - 4*k**2 - k - 4
Let s(l) = -2*l**2 + l - 7. Suppose 5*a - 15 = 15. Let g = 3 - 39. Let y = g + 35. Let h(p) = -1. What is a*h(t) + y*s(t)?
2*t**2 - t + 1
Let w = -5183 + 5038. Let f(z) = 29*z**2 - 6*z - 6. Let r(h) = 696*h**2 - 145*h - 145. Give w*f(p) + 6*r(p).
-29*p**2
Let p(z) = 9*z. Let r(a) = -10*a + 1. Let w(b) = b + 1. Let f(t) = -r(t) + w(t). Let d(u) = -5*f(u) + 6*p(u). Let q(k) = 8*k. Calculate -2*d(y) - q(y).
-6*y
Let t(y) = -1266200*y**2 + 1948*y - 3896. Let h(n) = 1951*n**2 - 3*n + 6. What is -1948*h(p) - 3*t(p)?
-1948*p**2
Suppose -3*o - 2105 + 2079 = -4*d, 3*d + 54 = -10*o. Let n(j) = 11*j**3 - 8*j**2 + 5. Let q(s) = -10*s**3 - 5 + 17*s**2 - 6 - 13*s**3. Give o*q(b) - 13*n(b).
-5*b**3 + 2*b**2 + 1
Let w(k) be the third derivative of k**6/60 + k**5/60 + k**4/4 + 2*k**3/3 - 469*k**2 + 2*k. Let g(s) = s**3 + 5*s + 3. Calculate -4*g(f) + 3*w(f).
2*f**3 + 3*f**2 - 2*f
Let z(c) = 22*c**3 - 4*c**2 - 4*c - 4. Let a be 62/(-403) + 378/91. Let q(w) = -w**3 + w**2 + w + 1. Calculate a*q(g) + z(g).
18*g**3
Let j(r) = 1172*r**2 - 11*r + 5. Let k(p) = -2*p**2 + 2*p - 1. What is j(y) + 4*k(y)?
1164*y**2 - 3*y + 1
Let p(t) = 51109*t**3 - 11*t**2. Let w(h) = 10221*h**3 - 2*h**2. What is -2*p(r) + 11*w(r)?
10213*r**3
Let g(x) be the third derivative of -x**5/4 + x**3/2 + x**2 + 1521*x. Let i(p) = 1. Determine -g(m) + 2*i(m).
15*m**2 - 1
Let h(l) = -14*l**2 + 174*l + 2. Let g(n) = -4*n**2 + 2*n. Determine -4*g(k) + h(k).
2*k**2 + 166*k + 2
Let a = -5315 + 5313. Let p(x) = -4*x - 1. Let d(s) be the first derivative of -5*s**2/2 - 2*s + 9. What is a*d(k) + 3*p(k)?
-2*k + 1
Let w(v) = -11*v**3 + 6*v**2. Let z be 2*(19 - 0)/(4 + -6). Let d = z + 15. Let f be (-40)/12*(72/(-15))/d. Let q(o) = 5*o**3 - 3*o**2. What is f*w(x) - 9*q(x)?
-x**3 + 3*x**2
Let p(u) = -72*u + 20. Let r(y) = -36*y + 9. Let b(g) = 3*p(g) - 5*r(g). Let q(f) = -5*f. Let i(t) = -2. Let z(c) = -i(c) + q(c). Determine -4*b(a) + 30*z(a).
-6*a
Let y(p) = 26 + 108*p - 41 - 107*p + 16. Let r(f) = -35*f + 2. Give -r(t) + 2*y(t).
37*t
Let a(p) = 6*p + 5*p - 8*p - 2*p. Suppose 3*x = 4*w + 1, 0 = -3*w + 6*w + 2*x + 22. Let j(v) = 6*v + 2. Calculate w*a(f) + j(f).
2*f + 2
Let i = -8114 - -8115. Let m(h) = h. Let y(o) = 2*o**2 - 6*o - 8. Calculate i*y(c) + 6*m(c).
2*c**2 - 8
Let i(t) = -3*t**3 + 8. Let a(n) = n**3 - 3. Suppose -c = 3*u + 17, u = -0*c - 5*c + 13. Let w be (1*-3)/((49/(-7))/u). Give w*i(b) - 8*a(b).
b**3
Let o(y) = y**2 + y + 27. Let z(l) = 177*l**2 - 5*l - 56. Determine -2*o(m) - z(m).
-179*m**2 + 3*m + 2
Let f(x) = x**2 + 2. Let i(a) = -1502*a**2 - 1502. Give 751*f(j) + i(j).
-751*j**2
Let u(s) = 14*s + 91. Let r(t) = -t - 6. Calculate -21*r(d) - u(d).
7*d + 35
Let q(i) = 496*i**3 + 9*i**2 + 3*i + 1. Let n(o) = 487*o**3 + 7*o**2 + 2*o. What is 3*n(s) - 2*q(s)?
469*s**3 + 3*s**2 - 2
Let a(v) = 13*v**3 - 3*v**2 - 9*v + 9. Let y(n) be the second derivative of -3*n**5/20 + n**4/12 + n**3/3 - n**2 - 3*n - 2. Calculate -4*a(x) - 18*y(x).
2*x**3 - 6*x**2
Let j(r) = 8*r - 1. Let q(k) = 9*k - 1. Suppose -96 = -18*c + 26*c. Let w be -9*(-2)/6*(-16)/c. Determine w*q(b) - 5*j(b).
-4*b + 1
Let d(p) = 1148*p**2 + 24*p. Let m(k) = -k. What is d(i) + 24*m(i)?
1148*i**2
Let t be (-12)/(-15) + 4 + 168/40. Let p(q) = 14*q**3 - 5*q**2 - 5*q - 5. Let o(w) = -27*w**3 + 9*w**2 + 9*w + 9. Determine t*p(k) + 5*o(k).
-9*k**3
Let n be (-1)/21*-1473 + (-3)/21. Let r = 74 - n. Let l(f) = -f + 3. Let c(b) = b - 1. Calculate r*c(y) + l(y).
3*y - 1
Let w(b) = -6*b**3 + 3*b + 3. Let o(u) = 6*u**3 + 239 - 122 - 116 - 7*u**3. Give 4*o(m) - w(m).
2*m**3 - 3*m + 1
Suppose 14*f - 54 - 69 = -27*f. Let b(j) = -j - 5. Let x(g) = -2. Give f*b(y) - 8*x(y).
-3*y + 1
Let t(h) = 11*h**2 - 4*h. Let f be (-624)/56 + 8 + (-1)/14*-2. Let m(i) = -i. What is f*t(o) + 12*m(o)?
-33*o**2
Let a(c) = -c**3 + 6*c**2 + 4*c - 6. Let p be (-4)/30 - ((-14042)/(-1785) + 1 + -3). Let o(r) = r**3 - 5*r**2 - 3*r + 5. What is p*o(m) - 5*a(m)?
-m**3 - 2*m
Suppose -102*j + 352 - 135 = -89. Let z(d) = 10*d**2 - 14*d - 4. Let p(o) = 2*o**2 - 3*o - 1. Give j*z(k) - 14*p(k).
2*k**2 + 2
Let d(g) = -6. Let l(n) = n + 160. What is -2*d(h) + l(h)?
h + 172
Let r(n) = 56*n**2 - 17*n + 6. Suppose z + 4 = 3*f - 2, -3*z = -f - 14. Let k(a) = 19*a**2 - 6*a + 2. What is f*r(y) - 11*k(y)?
15*y**2 - 2*y + 2
Let z(j) = 10*j**3 - 50*j**2 + 9*j + 15. Let i(v) = -17*v**3 + 92*v**2 - 17*v - 30. Determine 6*i(d) + 11*z(d).
8*d**3 + 2*d**2 - 3*d - 15
Let f(d) = -d**2 + d - 1. Let q(k) = 11*k**2 - 5*k + 6. Suppose 868*y = 870*y - 2. Give y*q(w) + 6*f(w).
5*w**2 + w
Let n(j) = -13*j**3 + 2799*j**2 - 3*j - 3. Let g(h) = 17*h**3 - 2797*h**2 + 4*h + 4. What is -3*g(k) - 4*n(k)?
k**3 - 2805*k**2
Let y(g) = -4*g**2 - 3. Let k(i) = 40*i**2 - 2*i - 150. Calculate k(a) + 8*y(a).
8*a**2 - 2*a - 174
Let d(s) = -81*s**2 + 231*s + 51. Let m(r) = 44*r**2 - 115*r - 26. Determine 6*d(f) + 11*m(f).
-2*f**2 + 121*f + 20
Let m(u) = 2*u + 622. Let j(z) = 3*z + 605. Give -4*j(i) + 5*m(i).
-2*i + 690
Let v(k) = k + 9. Let p(w) = -5*w - 626. Calculate 2*p(u) + 6*v(u).
-4*u - 1198
Let j(d) = -37*d**3 + 9*d**2 - 38*d - 24. Let k(s) = -7*s**3 + 2*s**2 - 7*s - 5. Give -2*j(u) + 11*k(u).
-3*u**3 + 4*u**2 - u - 7
Let f(l) be the first derivative of 3*l**2 - 5*l + 16. Let v = 0 + 2. Suppose 0 = -a - 1, -v*r + r = -a - 5. Let p(i) = -5*i + 4. Give r*f(g) + 5*p(g).
-g
Let i(d) = -d**3 - 3. Let y(k) = 4*k**3 + 9. Let t be (-12)/(-18)*(-6 + 9)*1. What is t*y(l) + 7*i(l)?
l**3 - 3
Let k(j) = j - 1. Let q(v) = 93 + 2*v - 7*v + 9*v - 97. What is 16*k(i) - 5*q(i)?
-4*i + 4
Let g(u) = -19*u**3 - 15*u**2 - 80*u + 6. Let b(r) = -49*r**3 - 38*r**2 - 200*r + 16. What is 5*b(x) - 13*g(x)?
2*x**3 + 5*x**2 + 40*x + 2
Let i(o) = 10*o**2 + 25*o + 4. Let c(u) = 7*u**2 + 18*u + 3. Let d(n) = 7*c(n) - 5*i(n). Let b(a) = -a**2 + a. What is -3*b(l) + d(l)?
2*l**2 - 2*l + 1
Let v(z) = -23*z - 309. Let t(b) = -20*b - 316. Calculate 5*t(j) - 4*v(j).
-8*j - 344
Let p(l) be the second derivative of -l**4/2 + 7*l**3/6 - 7*l**2 + 10465*l. Let d(k) = -2*k**2 + 2*k - 5. What is -8*d(m) + 3*p(m)?
-2*m**2 + 5*m - 2
Let x(z) = 1722*z**2 - 3 - 831*z**2 - 890*z**2 + 4*z**3 - 6*z. Let o(r) = -4*r**3 - r**2 + 6*r + 4. What is -3*o(s) - 4*x(s)?
-4*s**3 - s**2 + 6*s
Let p(h) = h**2 - 7*h**3 - 6065 + 6068 + 4*h + h. Let g(n) = 4*n**3 - n**2 - 3*n - 2. Give 5*g(c) + 3*p(c).
-c**3 - 2*c**2 - 1
Let s = 5 - 7. Let b(c) be the second derivative of 3*c**2 + 14*c. Let v(i) = 14*i - 22*i + 8*i - i**2 - 18 - 13. What is s*v(h) - 11*b(h)?
2*h**2 - 4
Let t(d) = -43*d**2 - 9*d + 1. Let m(q) = -9*q**2 - 12*q. Let a(l) = 24*l**2 + 38*l. Let i(k) = 4*a(k) + 13*m(k). Calculate -5*i(u) + 2*t(u).
19*u**2 + 2*u + 2
Let j(g) = 3*g**3 - 34*g**2 - 14*g + 18. Let p(t) = 3*t**3 - 32*t**2 - 12*t + 16. Calculate 6*j(u) - 7*p(u).
-3*u**3 + 20*u**2 - 4
Let c(m) = -456*m**2 + 3. Let y(z) = -80712*z**2 + 532. Determine 532*c(v) - 3*y(v).
-456*v**2
Let m(p) = p + 1. Let i(c) = 28*c**2 - 21*c - 21. Let b = -10198 + 10177. Determine b*m(f) - i(f).
-28*f**2
Let z(r) = 3*r - 16. Let d(a) = 5085*a + 63. Determine -d(u) - 4*z(u).
-5097*u + 1
Let p(r) = 11118*r + 0 - 11119*r - 4. Let v(a) = -2*a - 3 - 6 + 4. Let f(j) = -2*j**3 + 67*j**2 - 155*j - 6. Let x be f(31). Determine x*v(s) + 7*p(s).
5*s + 2
Let q(t) = -t**3 - 4*t**2 + 11*t + 33. Let u(k) = -2*k**3 - 9*k**2 + 25*k + 71. Give 13*q(l) - 6*u(l).
-l**3 + 2*l**2 - 7*l + 3
Let n(p) = 7*p - 6. Let j(w) = -8*w + 3595 - 7176 + 3588. Determine -2*j(t) - 3*n(t).
-5*t + 4
Let p(i) = -i**3 - 5*i**2 - 3*i - 5. Let f = -15029 + 15033. Let k(h) = h**3 + 6*h**2 + 4*h + 4. Determine f*p(m) + 3*k(m).
-m**3 - 2*m**2 - 8
Let z(d) = 69*d + 7. Let q(l) = -51*l + 2. Let o(a) = 7*a - 1. Let c(n) = 4*o(n) + q(n). Give 7*c(b) + 2*z(b).
-23*b
Let b(r) = -7*r - 11. Let f(s) = 36*s + 50. Determine 18*b(j) + 4*f(j).
18*j + 2
Let v(s)