 2
Let u(d) = 2*d**2 - 6*d - 10. Let r be (-60)/(70/(-7)) - (1 - 5). Let q(p) be the third derivative of p**4/24 + p**3/6 + 507*p**2. Calculate r*q(s) + u(s).
2*s**2 + 4*s
Let v(n) = -437*n**3 - 5*n**2 + n - 4. Let f(u) = 218*u**3 + 2*u**2 + 2. Calculate -5*f(b) - 2*v(b).
-216*b**3 - 2*b - 2
Let i(z) = 2*z - 1. Let b(s) = -8*s - 28. What is -b(w) - 8*i(w)?
-8*w + 36
Suppose -327 = -207*x + 294. Let v(s) = 5*s**3 - s**2 + 4*s - 2. Let l(j) = -j**3 - j**2 - j + 1. Calculate x*l(k) + v(k).
2*k**3 - 4*k**2 + k + 1
Let o(p) be the second derivative of p**2 - p. Let g = 152 + -148. Suppose 16 = -g*s, 5*w + s - 5*s = 26. Let z(i) = -i**2 + 10. What is w*z(q) - 11*o(q)?
-2*q**2 - 2
Let y(c) = 5*c**2 + 15*c + 1. Let t(r) = 2*r**2 + 2*r. Give t(a) - y(a).
-3*a**2 - 13*a - 1
Let g(h) = 6. Let u(r) = 11*r + 48. Let z(d) = -2*d - 8. Let y(a) = -u(a) - 6*z(a). Calculate -g(v) + 2*y(v).
2*v - 6
Let x(s) = 3*s**3 + 7*s**2 + s + 10. Let n(u) be the third derivative of -u**6/120 - u**5/30 - u**3/2 - 661*u**2. Give 7*n(o) + 2*x(o).
-o**3 + 2*o - 1
Let h(k) = k**3 - 16. Let r(q) = -q**3 + 869*q**2 - q + 48. Calculate 3*h(z) + r(z).
2*z**3 + 869*z**2 - z
Let d(f) be the second derivative of 2*f**4/3 + 4*f**3/3 - 2*f**2 + 5*f - 509. Let m(u) = -25*u**2 - 23*u + 11. Give 17*d(j) + 6*m(j).
-14*j**2 - 2*j - 2
Let t(k) = k**2 + k - 9. Let z(j) = 3*j**2 + 146*j - 32. Let u(i) = -6*i**2 - 268*i + 63. Let v(c) = -6*u(c) - 11*z(c). Give -8*t(q) + 3*v(q).
q**2 - 2*q - 6
Let i(b) = -20*b**2 + 70*b + 9. Let k(c) = -13*c**2 + 46*c + 5. Determine -5*i(n) + 8*k(n).
-4*n**2 + 18*n - 5
Let j(y) = y + 4. Suppose 4*s - 144 = -12*s. Let b be 7/(-21) + (75/s - 3). Let g(d) = -2. Calculate b*g(r) + 2*j(r).
2*r - 2
Let c(u) = 7*u + 41. Let v(a) = -2*a + 42. What is 3*c(b) - 2*v(b)?
25*b + 39
Let g(p) be the second derivative of 2*p**3/3 - p. Let w be (-24)/(-10 - -2) - 9. Let h = 1 + w. Let m(y) = -7*y. Give h*g(l) - 3*m(l).
l
Let g(d) = -2*d + 2. Suppose 71 = r + 31. Let f(y) = r*y - 23*y + 4 - 22*y. Suppose 6*a - 3*a = -9. Give a*f(k) + 5*g(k).
5*k - 2
Let j(i) = 35*i - 4. Let q(n) = 36*n - 6. Calculate -4*j(w) + 3*q(w).
-32*w - 2
Let u(w) = -2*w**3 - 2*w - 2. Let t(j) = j + 1. Let f(r) = -r**3 - 4*r - 4. Let y(x) = -f(x) - 3*t(x). Suppose 4*v - 104 = -9*v - 0*v. What is v*y(a) + 3*u(a)?
2*a**3 + 2*a + 2
Let t(j) = j + 2. Let h = -485 + 481. Let w(o) = -1. Let x(m) = -6. Let g(v) = -8*w(v) + x(v). What is h*g(c) + 5*t(c)?
5*c + 2
Let w(y) = 2*y**3 + 2*y**2 - 4*y + 3. Suppose -5*o - j - 16 = 0, -30*o + 2*j = -28*o + 4. Let t(d) = 2*d**3 + 2*d**2 - 5*d + 4. Calculate o*t(k) + 4*w(k).
2*k**3 + 2*k**2 - k
Let d(w) = 5*w**3 - 8*w**2 - 4*w - 4. Let y(z) = 4*z**3 - 8*z**2 - 3*z - 3. Suppose -2*q - 3*a = 0, -3*q + 369 - 374 = 2*a. Give q*d(c) + 4*y(c).
c**3 - 8*c**2
Let a(k) = -k + 1. Let i(z) be the second derivative of z**4/12 - 4*z**3/3 + 11*z**2/2 - z - 12. Let u be i(2). Let l(y) = -6*y + 6. Give u*l(s) + 5*a(s).
s - 1
Let k(d) = -50*d**2 + 7*d - 56. Let o(z) = 49*z**2 - 7*z + 49. Determine -7*k(i) - 8*o(i).
-42*i**2 + 7*i
Let b(r) be the first derivative of -32 - 2/3*r**3 + 4*r - 1/2*r**2. Let i = -9 - -1. Let u(h) = -6*h**2 - 3*h + 11. Calculate i*b(q) + 3*u(q).
-2*q**2 - q + 1
Let n(w) be the second derivative of -7*w**3/6 + 17*w**2/2 + 2*w - 420. Let k(s) = 4*s - 9. Calculate -11*k(p) - 6*n(p).
-2*p - 3
Let a be -2 - (-10)/(-2) - (-6)/(-30)*-40. Let n(q) = -q**3 + 1. Let w(s) = s**3 + 4*s**2 - 4. Calculate a*w(y) + 3*n(y).
-2*y**3 + 4*y**2 - 1
Let k(s) = 6*s**2 + 24*s + 14. Let x(q) be the second derivative of q**4/6 + 4*q**3/3 + 5*q**2/2 + 7405*q. Give -6*k(w) + 17*x(w).
-2*w**2 - 8*w + 1
Let w = -5327 - -5336. Let p(r) = 3*r**3 - 4*r**2 + 2*r - 6. Let d(o) = -12*o**3 + 17*o**2 - 9*o + 25. What is w*p(v) + 2*d(v)?
3*v**3 - 2*v**2 - 4
Suppose -4*v = -15*v - 121. Let f(p) = -31*p**3 - 2. Let n(y) = -16*y**3 - 1. Calculate v*n(c) + 6*f(c).
-10*c**3 - 1
Let m = -109 + 57. Let w = 58 + m. Let n(i) = 5*i - 7. Let f(t) = 1 - 2 - 20*t + 21*t. What is w*f(x) - n(x)?
x + 1
Let s(m) = -7*m + 5. Let k(j) be the second derivative of -55*j - 1/2*j**2 + 1/6*j**3 - 1. Calculate -3*k(h) - s(h).
4*h - 2
Let w(o) = -5*o**2 + 23*o + 1554. Let c(l) = l**2 - 4*l - 2. Calculate 6*c(h) + w(h).
h**2 - h + 1542
Let n(i) = -3*i**3 + 142*i**2 - 4*i - 2. Let l(m) = 2*m**3 - 189*m**2 + 3*m + 3. What is 3*l(j) + 4*n(j)?
-6*j**3 + j**2 - 7*j + 1
Let j(z) = 10*z - 138. Let n(u) = -13*u + 207. Calculate 7*j(k) + 5*n(k).
5*k + 69
Let j(p) = -16*p**2 - 152*p + 6. Let y(f) = -29*f**2 - 305*f + 11. What is -11*j(b) + 6*y(b)?
2*b**2 - 158*b
Let s(i) = 342*i + 6. Let u(l) = -7*l + 2. Give s(m) - 5*u(m).
377*m - 4
Let n(v) = -5*v**2 - 11*v - 2. Let g(m) be the first derivative of -m**3 - 5*m**2/2 - m + 2389. Determine 7*g(p) - 4*n(p).
-p**2 + 9*p + 1
Let s(j) = 2*j**2 + 3. Let a(m) = -12*m**2 - 38. Let h(b) = -a(b) - 12*s(b). Let v(t) = -71*t**2 + 11. Give 34*h(n) - 6*v(n).
18*n**2 + 2
Let c = 243 + -225. Suppose -33*q + c = -48. Let r(n) = n**2 + n. Let b(s) = -4*s**2 - 2*s. What is q*b(j) + 4*r(j)?
-4*j**2
Let v(o) = 3*o**3 - 3*o**2 + 1. Let s(n) = 2*n**3 - n**2 - 4*n + 3. Let x(r) = -4*s(r) + 3*v(r). Let z(h) = -3*h**2 + 8*h - 5. Give -3*x(w) + 5*z(w).
-3*w**3 - 8*w + 2
Let d(t) = t - 7. Let g be ((-10)/(-12))/((-320)/(-1152)). Let o(l) = -l + 14. Determine g*o(x) + 5*d(x).
2*x + 7
Let h(v) = 15197*v**2 + 2*v. Let r(l) = -253835497*l**2 - 33407*l. Give -33407*h(i) - 2*r(i).
-15185*i**2
Let t(d) = 885*d - 105. Let n(a) = -17*a + 2. Let g(o) = -90*o + 1065. Let i be g(13). Determine i*n(x) - 2*t(x).
15*x
Suppose 16*y = 4*w + 13*y - 8, 5*w = -7*y - 33. Let a(l) = l**3 + 4*l - 1. Let o(s) = -s**3. Calculate w*o(t) + a(t).
2*t**3 + 4*t - 1
Let q(p) = 1700 - 849 + 7*p - 859. Let m(f) = f - 1. Let b = 11 - 5. Suppose -5*h = -c - 11, 5*c - 4 = 3*c - 3*h. What is b*m(r) + c*q(r)?
-r + 2
Let g(k) = -4417*k**3 - 2*k**2 - 2*k - 2. Let p(q) = 4415*q**3 + 3*q**2 + 3*q + 3. Give 3*g(r) + 2*p(r).
-4421*r**3
Let x(i) = -7*i**3 + 215*i**2 + 13*i + 6. Let j(t) = -10*t**3 + 322*t**2 + 18*t + 9. Give 5*j(m) - 7*x(m).
-m**3 + 105*m**2 - m + 3
Let c(k) = -k**3 + 7*k**2 + 45*k - 13. Let t be c(11). Let m be (-5 - (-110)/16) + t/(-16). Let v(f) = -4*f + 8. Let w(y) = -2*y + 4. Determine m*v(b) - 5*w(b).
2*b - 4
Let g(h) = 31*h**2 + 24*h - 12. Let c(y) = 62*y**2 + 49*y - 30. Give -2*c(m) + 5*g(m).
31*m**2 + 22*m
Let g = 35526 + -35528. Let z(m) = -m**3 + m**2 - 12*m - 2. Let j(i) = -i**3 + i**2 - i - 1. Calculate g*j(p) + z(p).
p**3 - p**2 - 10*p
Let a(v) = 11*v**3 - 6*v**2 + 3834*v + 6. Let f(o) = 35*o**3 - 19*o**2 + 11504*o + 19. What is -19*a(s) + 6*f(s)?
s**3 - 3822*s
Let r(n) = -n**2 - n - 7. Let q(y) = -86*y**2 - 3*y - 13. What is q(g) - 2*r(g)?
-84*g**2 - g + 1
Let l(w) = -10*w**2 - 3*w - 1. Suppose -3*u - 65*s - 21 = -70*s, s = 6. Let b(k) = -k**2 - k + 1. What is u*b(n) - l(n)?
7*n**2 + 4
Let p(x) be the first derivative of -x**2 + 19*x - 4. Let u = -10014 + 10016. Let s(d) = -d + 9. Give u*p(m) - 5*s(m).
m - 7
Let c(p) = 25*p**2 - 181*p + 2. Let y(d) = -31*d**2 + 182*d - 2. Determine 5*c(a) + 4*y(a).
a**2 - 177*a + 2
Let m(c) = c. Let z = 96 + -96. Suppose z = 4*y - 52 + 12. Let j(r) = 7 + y*r - 12*r - 12. Determine j(w) + 3*m(w).
w - 5
Let v(x) = -9*x**2 - 5*x - 5. Let l(b) = b**2 + 40*b - 832. Let s be l(-55). Let r(p) = -17*p**2 - 9*p - 9. Give s*v(o) + 4*r(o).
-5*o**2 - o - 1
Let s(k) = -7*k**2 + 2*k - 2. Let n(y) = -7 - 22*y**2 + 1366*y + 1 - 1359*y. Determine 2*n(f) - 7*s(f).
5*f**2 + 2
Let t(h) = 2199*h. Let a(j) = 1048905*j. What is 3*a(c) - 1430*t(c)?
2145*c
Let c(g) = -1204*g**2 + 32*g - 1. Let r(v) = 401*v**2 - 12*v. Give -3*c(t) - 8*r(t).
404*t**2 + 3
Let a(d) = 2*d**2 - 5*d - 9. Let f(x) = 4*x**2 - 14*x - 19. What is 9*a(s) - 4*f(s)?
2*s**2 + 11*s - 5
Let n(m) = 341*m**2 + 3*m. Let w(p) = -1020*p**2 - 10*p + 2. Calculate -7*n(l) - 2*w(l).
-347*l**2 - l - 4
Let x(s) = -s**2 - s - 1. Let k(t) = -48*t**2 - 25*t - 49. Let l(w) = -97*w**2 - 46*w - 98. Let g(d) = 13*k(d) - 6*l(d). Give 4*g(a) - 196*x(a).
28*a**2
Let k(x) = -3*x**2 + 178*x + 101. Let t(o) = 2*o**2 - 118*o - 70. Calculate 5*k(r) + 7*t(r).
-r**2 + 64*r + 15
Let l(p) be the first derivative of p**3/3 + 3*p**2 - 6. Let d(f) be the second derivative of -f**4/4 - 