- 138*v**2 + 117*v + 13. Determine -6*k(s) - 13*x(s).
-13*s**3 - 82*s**2
Suppose 38*h - 43*h = -4*g - 29, -5*h + 5*g = -35. Let y(t) = -t + 1. Let q(a) = 13*a - 2. Determine h*q(i) + 5*y(i).
8*i + 3
Let m(c) = 5*c - 4. Suppose -5*d + 5*i + 14 = 34, 4*d - 40 = -4*i. Let w(n) = -24*n + 20. What is d*w(o) + 16*m(o)?
8*o - 4
Let y(j) = j + 1. Let m(k) = -1019 - k + 338 + 341 + 8*k + 337. Give m(l) + 2*y(l).
9*l - 1
Let g(r) = -5*r**3 + 5*r**2 + 1. Let l(w) be the first derivative of 3/4*w**4 - w - 53 - w**3 + 0*w**2. Determine 4*g(p) + 7*l(p).
p**3 - p**2 - 3
Let i(r) = 17*r**2 - 156*r + 22. Let a be i(9). Let m(d) = 2*d**3 + d**2 + 3*d + 9. Let q(c) = -3*c**3 - c**2 - 4*c - 10. What is a*m(z) - 4*q(z)?
2*z**3 - z**2 + z - 5
Let u(t) be the third derivative of t**5/12 - t**4/2 - 2*t**3/3 + 2850*t**2. Let n(o) = -6*o**2 + 13*o + 5. What is -2*n(d) - 3*u(d)?
-3*d**2 + 10*d + 2
Let h(k) = -38*k + 18. Let s(a) = 78*a - 33. Calculate 7*h(j) + 3*s(j).
-32*j + 27
Let f(x) be the third derivative of -7*x**4/24 + x**3/2 - 2*x**2. Let b(l) = 8541*l + 4 - 4272*l - 4277*l. Give -4*b(n) + 5*f(n).
-3*n - 1
Let u(p) = 9*p**3 + 5*p**2 + p + 5. Let m(c) = -4*c**3 - 2*c**2 - 2. Let i be (-96)/54 + 3 + (-87)/27. Let f = -305 + 300. Determine f*m(a) + i*u(a).
2*a**3 - 2*a
Let p = -1 - -1. Suppose 4*j = 4*q, p*j - 18 = -j - 5*q. Let o(n) = -2 + 3*n - 3*n + j*n + 3*n**2 - n. Let d(h) = -12*h**2 - 9*h + 9. Determine 2*d(a) + 9*o(a).
3*a**2
Let r(c) be the first derivative of 3*c**2/2 + 5*c + 646. Let a(d) = -3*d - 4. Give -4*a(j) - 3*r(j).
3*j + 1
Suppose -443 - 260 = 19*h. Let r = -32 - h. Let m(d) = 17*d - 5. Let b(g) = 8*g - 2. What is r*b(s) - 2*m(s)?
6*s
Let w(g) = 9*g**2 - 5*g + 3. Let i(f) = 5*f**2 - 3*f + 2. Let c = 477 + -474. Suppose c*r + 42 = 30. Determine r*w(v) + 7*i(v).
-v**2 - v + 2
Let z(g) = -94*g**2 + 6*g + 1. Let x(v) = 96*v**2 - 2*v - 1. Determine -4*x(p) - 3*z(p).
-102*p**2 - 10*p + 1
Let x(o) = -39*o**2 - 39*o - 52. Let s(n) = 23*n**2 + 19*n + 29. What is -5*s(y) - 3*x(y)?
2*y**2 + 22*y + 11
Let y(m) = 3*m - 3. Let u(x) = -72 + 57 + 13 + 0*x + 3*x. Determine -5*u(i) + 6*y(i).
3*i - 8
Let u(k) = -256*k. Let z(h) = 12*h - 2. Calculate 3*u(d) + 3*z(d).
-732*d - 6
Let r(n) = 26*n - 427. Let i(c) = -31*c + 426. Give -5*i(q) - 6*r(q).
-q + 432
Let l(m) = -13*m + 4. Let h be (-2)/(-4)*(-8)/(-4). Let n(j) = -11*j - 9. Let u(t) = -14*t - 11. Let x(w) = 5*n(w) - 4*u(w). Determine h*l(q) + 6*x(q).
-7*q - 2
Let x(l) = 6*l - 2. Let h(m) = 7*m - 3. Let p be (-9*2/9)/(4/8). Determine p*x(y) + 3*h(y).
-3*y - 1
Let w(h) be the second derivative of 3*h**5/20 - h**4/6 + h**2 - 342*h. Let k(v) = -13*v**3 + 9*v**2 - v - 7. Determine -2*k(n) - 9*w(n).
-n**3 + 2*n - 4
Let j(k) = 41*k + 645. Let c be j(-16). Let r(a) = 4*a**3 + 2*a**2 - 2*a - 2. Let s(w) = 21*w**3 + 1 - 10 - 4*w**2 - 10*w + 15*w**2. Determine c*r(g) + 2*s(g).
-2*g**3 + 2*g + 4
Let j(c) = 630*c**2 - 4*c - 4. Let v(h) = -6*h**2 + h + 2. Determine j(l) + 5*v(l).
600*l**2 + l + 6
Let n(j) = -15*j**2 - 35*j - 210. Let p(r) = 7*r**2 + 19*r + 104. Give 6*n(b) + 11*p(b).
-13*b**2 - b - 116
Let z(l) be the first derivative of -l**4/4 + 43. Suppose 6*j = 79 - 67. Let b(v) = -4*v**3 + 3*v**2 - 1. Determine j*z(i) - b(i).
2*i**3 - 3*i**2 + 1
Let a(f) = -1453*f + 101. Let o(g) = 1453*g - 67. Determine 2*a(m) + 3*o(m).
1453*m + 1
Let q(l) = -2*l**2 - 8*l - 3. Let v(f) = -1678 + 5031 - 1677 - 1677. Determine q(k) - 4*v(k).
-2*k**2 - 8*k + 1
Let p(x) = x**2 - x + 1. Let v(j) = -4*j**3 + 5*j**2 - 6*j + 5. Let d(o) = 2*o**2 - 46*o + 185. Let q be d(18). What is q*p(m) - v(m)?
4*m**3 + m
Let j(p) = 6*p - 4. Suppose d = 1, d = -3*s + 6*d + 31. Let b(a) = -6 - 7*a + 3 + s*a + 0. Give 5*b(o) - 4*j(o).
o + 1
Let d(r) = -16*r + 167. Let u(j) = 12*j - 167. Calculate 5*d(l) + 6*u(l).
-8*l - 167
Let m(o) = -7*o - 4. Suppose 7*c + 33 - 5 + 0 = 0. Let r(g) = 8*g + 4. Give c*r(b) - 5*m(b).
3*b + 4
Let x(r) = -20*r + 3. Let q(u) = u - 1. Suppose -19*n + 16*n - 3*y + 6 = 0, n = -5*y + 6. What is n*x(d) + 6*q(d)?
-14*d - 3
Let z(d) = -333*d + 3769. Let c(s) = 533*s - 5654. What is 5*c(h) + 8*z(h)?
h + 1882
Let l(r) be the first derivative of -28*r - 39*r + 63*r - 50. Let u(g) = -g**2 + g - 5. Suppose 5*a + 10 + 5 = 0. What is a*l(s) + 2*u(s)?
-2*s**2 + 2*s + 2
Let s(o) = 10*o**2 + 3*o. Let d(w) be the third derivative of -w**5/3 - 7*w**4/24 - w**3/6 - 130*w**2 + 2. What is -3*d(t) - 7*s(t)?
-10*t**2 + 3
Let h(v) = 1. Let w(d) = d - 1. Let s = 257 - 248. Let f be (s/(-6) - 1)/((-10)/8). Suppose 0 = j + 2*j - 15. Determine f*w(n) + j*h(n).
2*n + 3
Let s(i) = i + 1. Let o = -11 - 9. Let p be o/(-20) - (-2)/1. Suppose -p*r + 8 = -4*y, 0 = y + 2*r + 5 - 14. Let x(z) = 1. What is y*x(q) + 2*s(q)?
2*q + 3
Let f(a) = -6960*a + 35. Let c(x) = -160*x + 1. Give 40*c(j) - f(j).
560*j + 5
Let p(d) = 1354 - 2697 + 1349 - 13*d. Let u(v) = -20*v + 9. Suppose 7*y - 2*y = 25. Give y*u(x) - 8*p(x).
4*x - 3
Let t(b) = -18*b - 9. Let j(o) be the second derivative of o**3 + 3*o**2/2 + 2*o + 2208. Determine 8*j(k) + 3*t(k).
-6*k - 3
Let a(u) = -7*u**2 + 2*u + 1. Suppose 5*t + 39 = -g, -3*g + 223*t - 47 = 228*t. Let s(k) = 8*k**2 - 3*k. Give g*s(n) - 5*a(n).
3*n**2 + 2*n - 5
Let d(w) = 11*w + 3. Let n(x) = -5 + 14*x + 1 - 26*x. Let t be 13 + 0 + -98 + 88. Calculate t*n(m) + 4*d(m).
8*m
Let h(f) = -10262*f - 8. Let v(x) = 14*x + 3. What is h(o) + 2*v(o)?
-10234*o - 2
Let l(u) be the second derivative of u**3/3 + u**2/2 + 4*u. Let j(g) = -g. Suppose 3*y - 19*i + 21*i = 0, -2*i + 8 = -y. Determine y*l(n) - 3*j(n).
-n - 2
Let s(v) = -14*v**3 - 1. Let x(z) = -43*z**3 + 10*z**2 + 6*z - 3. Calculate -3*s(g) + x(g).
-g**3 + 10*g**2 + 6*g
Suppose 0 = 5*v - 8*v - 18. Let t be (-2)/v + 42/9. Let j(m) = 3*m**2 + 2*m. Let y(h) = 18*h**2 - 398*h - 25*h**2 + 836*h - 442*h. Determine t*j(c) + 2*y(c).
c**2 + 2*c
Suppose 85*s = 81*s - 56. Let d(n) = 5*n + 2. Let w(c) be the third derivative of c**4/12 + c**3/6 + 2*c**2 + 12. Give s*w(z) + 6*d(z).
2*z - 2
Let w(q) = -5. Let v(b) = -9. Let f(r) = -6*v(r) + 11*w(r). Let z(g) = g**2 - 1. Suppose 0 = 7*k - 30 - 47. Suppose 2*x - k*x = -9. Calculate x*z(c) - f(c).
c**2
Let r(n) = 2*n**3 + 5*n**2 - 5*n - 1. Let m = -493 + 495. Let y(t) = 0*t - 9028 - 14*t**m + 9030 + 14*t - 6*t**3. Calculate 14*r(b) + 5*y(b).
-2*b**3 - 4
Let y(o) = 1. Let b(v) = v - 1. Let f(p) = -b(p) - 2*y(p). Let i = -6 + 10. Let k(g) = -6*g + 1. Let n = -2086 + 2085. Calculate i*f(d) + n*k(d).
2*d - 5
Let m(t) = -22*t + 29. Let u(d) = -16*d + 1. Calculate -m(w) + 2*u(w).
-10*w - 27
Let y(f) = -94*f**3 - 3*f + 8. Let b(g) = g**3 + g**2 + g + 3. Calculate 2*b(j) - y(j).
96*j**3 + 2*j**2 + 5*j - 2
Let j(u) = 7*u**2 - 4*u - 7. Let d(h) = 104*h + 1555. Let k be d(-15). Let v(y) = y**2 - y - 1. Give k*v(c) + j(c).
2*c**2 + c - 2
Let i(x) = 2*x**3 - 374*x**2 + 190*x**2 - 17 + 7*x**3 + 191*x**2 - 3*x. Let s(z) = -5*z**3 - 4*z**2 + 2*z + 9. Determine -4*i(g) - 7*s(g).
-g**3 - 2*g + 5
Let j(h) be the third derivative of h**5/30 + 7*h**4/24 - 2*h**3/3 + 1944*h**2. Let o(f) = 3*f**2 + 8*f - 5. Calculate 5*j(b) - 4*o(b).
-2*b**2 + 3*b
Let n(p) = -11*p - 15. Let w(g) = -5*g - 8. Let x(f) = -3*n(f) + 5*w(f). Let q(s) be the first derivative of -s**2/2 - s - 76. Determine 6*q(i) + x(i).
2*i - 1
Let s(w) be the third derivative of -w**5/30 + w**3/2 - 8918*w**2. Let n = 2 + -1. Suppose 0 = 2*m - 4*m + 6. Let q(j) = j**2 - 1. Determine m*q(t) + n*s(t).
t**2
Let t(l) = 0*l - 19 + 15*l - 16 - 4*l + 34 - 16 + 3*l**2. Let w(x) = -2*x**2 - 7*x + 11. Let m = 0 + -5. Determine m*t(o) - 8*w(o).
o**2 + o - 3
Let m(o) = -75*o**3 + 5. Let z(c) = -37*c**3 + 2. Suppose 40 = 749*t - 757*t. Give t*z(k) + 2*m(k).
35*k**3
Let d = 179 - 175. Let k = d + -6. Let b(r) = -r**2 - r + 1. Let s(m) = -m**3 - 7*m**2 - 7*m + 8. What is k*s(v) + 14*b(v)?
2*v**3 - 2
Let x(v) = 6071 + 2*v**3 + 5*v - 6065 + 6*v**2 - 2*v**2. Let o(l) = l**3 - l**2 - l - 1. Determine 3*o(m) + x(m).
5*m**3 + m**2 + 2*m + 3
Let v(x) = -2*x**2 + 1. Let s(w) = 5*w**2 - 460. What is s(r) + 3*v(r)?
-r**2 - 457
Let b(i) = i - 19. Let a(t) = 2*t - 127. Calculate a(v) - 3*b(v).
-v - 70
Let z(j) be the third derivative of -1/24*j**4 + 0*j - 2*j**2 + 0 + 1/6*j**3. Let g(l) = -14 + 26 - 16 - 8*l + 11*l. Calculate -5*g(x) - 20*z(x).
5*x
Le