- 7
Let x(k) be the second derivative of -k**3/2 + k**2 - 28*k. Suppose 5*r = -5*f - 70, -23*r + 70 = -5*f - 18*r. Let v(z) = -10*z + 6. Determine f*x(c) + 4*v(c).
2*c - 4
Suppose 11*s = -10 + 219. Let o(d) = d - 2 + s*d - 24*d. Let x(k) = 7*k + 4. Let j(n) = 5*n + 3. Let t(g) = -4*j(g) + 3*x(g). What is -o(v) - 2*t(v)?
2*v + 2
Let g(r) = 2*r**3 - 9*r**2 - 4*r + 29. Let o be g(2). Let t(l) = l**2 + l + 1. Let j(b) = -b**3 + 2*b**2 + 2*b. Give o*j(d) - 2*t(d).
-d**3 - 2
Let b(i) = -3*i - 3. Let y = -534 + 537. Let s(g) be the second derivative of g**2/2 + 2*g. Let r = 6 - 5. Calculate r*b(p) + y*s(p).
-3*p
Let w(q) = -5*q - 2. Let z(y) = y. Let x = 574 - 592. Let g(p) = 8*p + 145. Let d be g(x). What is d*w(t) + 4*z(t)?
-t - 2
Let f(c) = -43*c + 41. Let g(h) = -48*h + 61. Determine 7*f(m) - 5*g(m).
-61*m - 18
Let v(g) = 5*g + 345. Let a(d) = -15*d - 1027. Determine -6*a(u) - 17*v(u).
5*u + 297
Let s(g) = -16 - 17 - 9*g**2 - 13 - 5*g + 59 - 18. Let m(l) = 4*l**2 + 2*l + 2. Give 5*m(t) + 2*s(t).
2*t**2
Let l(y) = -1775*y**3 - 1765*y**3 - 1766*y**3 - 3 + 5303*y**3 - 3*y**2 - 24*y. Let w(a) = a**3 + a**2 + 8*a + 1. What is -6*l(f) - 17*w(f)?
f**3 + f**2 + 8*f + 1
Let f(x) = 1. Let y = 2163 - 2153. Let t(d) = 14*d + 10. Determine y*f(a) - t(a).
-14*a
Let x(p) = -5*p**2 - 3*p - 23. Let i(q) = -18*q**2 + 42*q**2 + 46 - 758*q + 763*q - 15*q**2. Give -3*i(l) - 5*x(l).
-2*l**2 - 23
Let j(r) = -14*r**2 - 3*r - 3. Let w(y) = -363*y**2 - 77*y - 77. Suppose 19*d - 11*d = 15*d + 42. What is d*w(v) + 154*j(v)?
22*v**2
Let u(c) = 5*c - 10. Let w = 13977 + -13987. Let i(s) = 2. Determine w*i(v) - 2*u(v).
-10*v
Let q(c) = c**2 + c - 1. Let d(f) = -2*f - 6045*f**3 + 0*f**2 - 4*f**2 + 6047*f**3 + 35. Determine -d(b) - 4*q(b).
-2*b**3 - 2*b - 31
Let r(f) = -5*f**3 + 3*f**2 + 7*f + 2. Let s = 674 + -671. Suppose -s = g + 1. Let y(z) = -6*z**3 + 4*z**2 + 8*z + 2. Determine g*r(u) + 3*y(u).
2*u**3 - 4*u - 2
Let j(k) = -742*k + 6. Let p(n) = -32642*n + 266. Calculate 133*j(t) - 3*p(t).
-760*t
Let j(q) = -68*q**3 + 151*q**2 + 2*q + 5. Let i(m) = -24*m**3 + 51*m**2 + m + 2. Give -8*i(k) + 3*j(k).
-12*k**3 + 45*k**2 - 2*k - 1
Let z(r) = -4*r - 5*r + 23*r - 13*r - 24. Let u(j) = j - 25. What is 3*u(d) - 2*z(d)?
d - 27
Let h(r) = 8*r - 207. Let q be h(33). Suppose -q = -6*t - 93. Let i(f) = -f. Let k(v) = 3*v + 1. What is t*k(p) - 17*i(p)?
-p - 6
Let z(q) = 3*q - 1. Let l(y) = -9144*y**2 - 15*y + 5. What is -l(v) - 5*z(v)?
9144*v**2
Let j(u) = 152*u**2 - 11*u. Let p be (19 + -15 + 11 + -14)*11/1. Let b(v) = -51*v**2 + 4*v. Calculate p*b(r) + 4*j(r).
47*r**2
Suppose 5*r = -1 + 31. Let w(t) = 6 - t + 11*t + r. Suppose 0 = 127*n + 321 - 575. Let q(o) = 3*o + 4. Give n*w(l) - 7*q(l).
-l - 4
Let l(k) = 4*k**2 - 44*k + 5. Let g(p) = 6*p**2 + 39*p - 6. Let y(i) = 2*i**2 + 20*i - 3. Let q(u) = 2*g(u) - 5*y(u). Determine 4*l(s) - 7*q(s).
2*s**2 - 22*s - 1
Let y(i) = -2*i**3 - 14*i + 3. Let f(u) = -250*u - 1758. Let k be f(-7). Let a(h) = -h**3 - 5*h + 1. Determine k*a(o) + 3*y(o).
2*o**3 - 2*o + 1
Let a be (-17 - (-198)/11)*19. Let h(d) = -76*d**3 - 19*d**2 + 19*d - 19. Let u(r) = -19*r**3 - 5*r**2 + 5*r - 5. Give a*u(z) - 5*h(z).
19*z**3
Let v(c) = c**3 - c**2 - 1. Let z(m) = -6*m**3 + 5*m**2 + 5. Suppose -3*d = 9 + 6. Suppose 2*t + 5*f = -2, 0 = -3*t + 2*f - 3 - 0. Give d*v(u) + t*z(u).
u**3
Let d(u) = -u + 1. Let c be 1/(15 + 1452/(-96) + 3/(-40)). Let v(g) = 9*g + 6. Determine c*d(i) + v(i).
14*i + 1
Let y(w) = -4*w + 2. Let m(l) = 9*l - 5. Let b be 123/(-41)*((-42)/56 + 5/(-4*5)). Let a = 13 + -6. Calculate a*y(f) + b*m(f).
-f - 1
Let z(a) = -a**2 + 5*a - 1. Let v(k) = -2*k**2 + 8*k - 2. Let f = 95 - 98. Let y(g) = f*v(g) + 5*z(g). Let m(j) = 7*j**2 + 12*j + 8. Give m(w) - 6*y(w).
w**2 + 6*w + 2
Let l(h) = -23*h**3 + 48*h**2 + 10*h - 42. Let a(i) = 7*i**3 - 15*i**2 - 3*i + 14. Determine 13*a(o) + 4*l(o).
-o**3 - 3*o**2 + o + 14
Let t(i) = i**2 - 4*i + 1. Let v(x) = 183*x. Let h(m) = 137*m. Let a(d) = -4*h(d) + 3*v(d). Give -2*a(o) - t(o).
-o**2 + 2*o - 1
Let q(k) = 160*k**3 + 32*k**2 + 64*k + 128. Let b(f) = f**3 - f**2 - 2*f - 4. What is 160*b(u) + 5*q(u)?
960*u**3
Let i(y) = 1. Let p = -320 + 337. Suppose 2*s + 12*l + 3 = p*l, 3*s - 5*l - 3 = 0. Let m(h) = 4*h - 4. Give s*i(x) + m(x).
4*x + 2
Let o(b) = -2*b**2 - b + 2. Let t(c) = -20*c**2 - 15*c + 16. Calculate -18*o(v) + 2*t(v).
-4*v**2 - 12*v - 4
Let l = 14041 - 14038. Let j(i) = 7*i**3 - 3*i**2 - 4. Let m(q) = -6*q**3 + 2*q**2 - q + 3. Calculate l*j(c) + 4*m(c).
-3*c**3 - c**2 - 4*c
Let m(p) = 2*p**2 - p + 2. Let w(k) = -67*k**2 - 3*k + 5. What is -5*m(o) + w(o)?
-77*o**2 + 2*o - 5
Let s(m) = -8*m + 9. Let o(g) = -179*g - 889. Let q be o(-5). Let u(j) = -15*j + 18. What is q*u(n) - 11*s(n)?
-2*n + 9
Let i(x) = 15*x**3 - 3*x**2 + 11*x + 4. Let t(y) = -12*y**3 + 2*y**2 - 10*y - 3. Give 2*i(a) + 3*t(a).
-6*a**3 - 8*a - 1
Let x(r) = 27651*r. Let p(a) = 3*a. Determine 8508*p(v) - x(v).
-2127*v
Let b(q) = -q - 8. Let p be b(-7). Let y(l) = -l + 6*l + 2 - 4*l - 1. Let h(a) = 3 - 7*a + 28*a - 4*a - 7*a - 8*a. Give p*h(v) + 3*y(v).
v
Let k(v) = -8. Let t(n) = n. Let u(p) = -8*p + 89. Let s be u(11). Determine s*k(a) - 2*t(a).
-2*a - 8
Let w(z) = 434*z - 89. Let p(g) = 247*g - 45. Determine 7*p(k) - 4*w(k).
-7*k + 41
Let k(h) = 2*h**3 + 3*h**2 - 62*h - 13. Let u be k(5). Let f(x) = -72*x**2 - 5*x. Let m(r) = 36*r**2 + 2*r. Determine u*f(l) + 5*m(l).
36*l**2
Let h = -4 - -6. Let d(o) = -4*o - 2. Let s(v) = 11*v - 19. Let u be s(3). Let g(l) = -13 + u - 2 - l. What is h*g(m) - d(m)?
2*m
Let t(u) be the second derivative of -u**4/6 - 5*u**3/6 + 5*u**2/2 - 11*u. Let h(x) = -4*x**2 - 267*x + 258*x + 9 + 0. Calculate -6*h(z) + 11*t(z).
2*z**2 - z + 1
Suppose -a - 436 = -440. Let k(r) = -3*r**2 + 7*r - 7. Let p(u) = u**2 - 2*u + 2. Give a*k(g) + 14*p(g).
2*g**2
Let g(n) = 23*n - 95. Let s(w) = -13*w + 46. Determine -3*g(j) - 5*s(j).
-4*j + 55
Let y(j) = 5*j**3 + 5*j**2 + 14*j - 88. Let q(u) = 12*u**3 + 11*u**2 + 27*u - 178. Calculate 4*q(s) - 9*y(s).
3*s**3 - s**2 - 18*s + 80
Suppose -45*q - 211 + 76 = 0. Let y(x) = x**3 - 10*x**2 - 7. Let l(m) = -m**3 + 5*m**2 + 4. Give q*y(a) - 5*l(a).
2*a**3 + 5*a**2 + 1
Let j(n) = 5*n - 67. Let z(q) = q**3 + 6*q**2 - 26*q - 89. Let o be z(-8). Let s(r) = -r + 17. What is o*s(y) - 2*j(y)?
-y - 19
Suppose -4*m + 86 = 110, 4*s = m + 26. Let g(z) = 9*z**3 - 9*z**2 + 8*z + 3. Let w(y) = -6*y**3 + 6*y**2 - 5*y - 2. Give s*g(r) + 8*w(r).
-3*r**3 + 3*r**2 - 1
Let b(y) = 17*y**3 + 25*y**2 - 17*y - 13. Let j(l) = -8*l**3 - 12*l**2 + 8*l + 6. Let k(d) = -6*d**2 - 12*d + 138. Let v be k(-6). Determine v*b(f) - 13*j(f).
2*f**3 + 6*f**2 - 2*f
Let z(p) = p**2 + p + 1. Let q(v) = -v - 1. Suppose b - 20 = -4*b. Suppose -7 = -b*j - 23, 5*a - j = -16. Let c = -191 - -187. Give a*z(l) + c*q(l).
-4*l**2
Let n(p) be the second derivative of 5*p**3/6 + 16*p. Let s(l) = -l**2 - 9*l. Let o(h) = 15*h + 21. Let z be o(-9). Let q = 111 + z. Give q*s(u) - 5*n(u).
3*u**2 + 2*u
Let g(m) = -13490*m + 91. Let x(i) = -80939*i + 515. Calculate 17*g(l) - 3*x(l).
13487*l + 2
Let h(p) = 1. Suppose -g = 1, 4*z - 3*z = 4*g + 8. Let x(u) = u + 3*u + u - z. Give -3*h(o) - x(o).
-5*o + 1
Let o(p) = -p**3 - 32*p**2 - 3*p - 12. Let t(v) = 2*v**3 + 65*v**2 + 7*v + 28. Calculate 7*o(u) + 3*t(u).
-u**3 - 29*u**2
Suppose 2*x - 3*x - 27 = 5*l, 5*l = 5*x + 75. Let b(o) = -3*o**3 + o. Let r = 56 - 62. Let n(u) = 8*u**3 - 3*u. Give r*n(a) + x*b(a).
3*a**3 + a
Let r(v) = -10*v - 8. Let i be -1 + (-1 - 20/(-4)). Suppose -l - m = 4*m + 17, -5*l + i = 3*m. Let f(o) = -3*o - 3. Give l*r(j) - 8*f(j).
-6*j
Let v(f) = -8536*f**3 - 7*f**2 - 7*f + 7. Let r(g) = -5691*g**3 - 5*g**2 - 5*g + 5. Calculate -7*r(p) + 5*v(p).
-2843*p**3
Let b = -16 + 6. Let v be b/(-3) - 2/(-3). Let r(d) = 17*d**2 - 12*d - 3. Suppose -175*f - 873 = 1052. Let q(c) = 6*c**2 - 4*c - 1. Calculate f*q(u) + v*r(u).
2*u**2 - 4*u - 1
Let i(s) = 14*s + 58. Let t(c) = 14*c + 67. Calculate 7*i(g) - 6*t(g).
14*g + 4
Let n(l) = 1. Let x be (-3)/2*(-702)/81. Suppose 2*t = -0*f + 5*f + 1, -4*f + x = 3*t. Let y(r) = -r + r - 4 + r + 3. What is t*n(c) + 2*y(c)?
2*c + 1
Let u(a) = 2816*a - 10. Let c(f) = 530817*f - 1884. Give -5*c(x) + 942*u(x).
-1413*x
Let w be (-66)/(-429) - 4/26. Suppose 3*a = -n 