t is g*a(t) + 4*u(t)?
-2*t**2 + 1
Suppose -3*w - 51*y - 9 = -48*y, 4*y + 15 = -w. Suppose b - 4*b = -9. Let g(t) = t. Let v(q) = -2*q - 3. Determine b*g(x) + w*v(x).
x - 3
Let p(m) = 10*m**3 - 26*m**2 - 11*m + 6. Let x(o) = 3*o**3 + o**2 - 3*o + 1. Give p(s) - 6*x(s).
-8*s**3 - 32*s**2 + 7*s
Let q = 8676 - 8682. Let v(a) = -7*a + 21. Let j(h) = 6*h - 20. What is q*j(u) - 5*v(u)?
-u + 15
Let b(p) = -20*p - 3. Let d(i) = 200*i + 23. Let s(f) = -373*f - 44. Let t(j) = 5*d(j) + 3*s(j). Calculate -17*b(h) + 3*t(h).
-17*h
Let f(v) = -5*v - 4. Let n(l) = l - 1. Let j(y) = -f(y) + 4*n(y). Let c(d) be the second derivative of 1/2*d**3 + 0*d**2 - 12*d + 0. Give -7*c(z) + 2*j(z).
-3*z
Let v(h) = -31163 - 5*h**3 + 62335 - 31168 + 4*h - h**2. Let a(b) = 5*b**3 + 2*b**2 - 5*b - 5. What is 4*a(l) + 5*v(l)?
-5*l**3 + 3*l**2
Let m(a) = -a + 1. Let x = -297 + 292. Let i(t) = 2*t - 1. Let z(h) = -2*h + 1. Let j(u) = 2*i(u) + 3*z(u). Calculate x*m(s) + 3*j(s).
-s - 2
Let j = 5 - 3. Let l(u) = -5*u**3 - 2*u**2 + u - 2. Let r(h) be the first derivative of -11*h**4/4 - 5*h**3/3 + h**2 - 5*h - 44826. Give j*r(v) - 5*l(v).
3*v**3 - v
Let s(x) = -2*x**2 + 2*x + 6. Let i(f) = -21*f**2 + 12*f + 42. Give i(a) - 9*s(a).
-3*a**2 - 6*a - 12
Let a(c) = 7*c**3 + c + 2. Let v(b) = -24*b**3 - b**2 - 34*b - 6. Determine 3*a(j) + v(j).
-3*j**3 - j**2 - 31*j
Let o(a) = -2*a**3 - 3*a**2 + 2*a - 400. Let u(k) = -11*k**3 - 14*k**2 + 10*k - 2007. Calculate -14*o(y) + 3*u(y).
-5*y**3 + 2*y - 421
Suppose -3*s - 16 = q, 123 = -q + 4*s + 142. Let w(i) be the first derivative of i**4/4 + i**2/2 - 1. Let t(p) = -4*p**3 + 2*p. Determine q*t(h) - 3*w(h).
h**3 - 5*h
Let p(j) = j**3. Let u(m) = -43*m**3 - 35*m**2. Determine -6*p(h) + u(h).
-49*h**3 - 35*h**2
Let v(n) = 34*n - 5. Let s(c) = 17*c - 3. Let i be 1*3*4/(36/(-15)). Calculate i*s(u) + 3*v(u).
17*u
Let n(h) = 476*h - 2142. Let j(s) = -s + 9. Calculate -714*j(x) - 3*n(x).
-714*x
Let m(n) = -n**2 + n. Let g(c) = c**3 + 6*c**2 - 11*c - 1. Suppose 15 + 91 = -123*u - 17. Give u*g(b) - 6*m(b).
-b**3 + 5*b + 1
Let m(k) = 32*k**3 + 8*k**2 + 4*k - 58. Let y(g) = 64*g**3 + 14*g**2 + 7*g - 115. Calculate -7*m(j) + 4*y(j).
32*j**3 - 54
Let u(n) = -n + 1. Suppose 0 = 3*t + 2*t - 25. Suppose -t*s = -11 - 9, -5*r - 4*s = -46. Let c(l) = 6*l - 2*l**2 - l**2 - 6 + 2*l**2. Give r*u(i) + c(i).
-i**2
Suppose -124*m + 4*p = -128*m, p = -5. Let f(s) = s - 1. Let n(a) = -18*a + 6. Give m*f(z) + n(z).
-13*z + 1
Let k(t) = -4*t**2 - 3*t. Suppose 0 = 11*s + 4 - 26. Let u(w) = 246 + w**s + w - 246. What is 2*k(o) + 6*u(o)?
-2*o**2
Let y(w) = 9*w**2 + 6*w - 5. Suppose -76*r - 77*r - 765 = 0. Let x(k) = 5*k**2 + 3*k - 3. Let u(l) = l**2 + l - 3. Let f be u(-3). Determine f*y(o) + r*x(o).
2*o**2 + 3*o
Let k(c) = 404*c**3 - 3*c**2 - 36*c - 11. Let w(j) = -269*j**3 + 2*j**2 + 23*j + 7. What is 7*k(a) + 11*w(a)?
-131*a**3 + a**2 + a
Suppose -3*s - 2*s = 55. Let g(x) = x + 6. Let a be 5220/1827 - 6/7. Let f(j) = 6*j + 31. Give a*f(k) + s*g(k).
k - 4
Let m(k) = -3*k + 11. Let p be 364/(-32) - (-20 + (-2983)/(-152)). Let y(c) = -c + 4. Let x be (2/(-1))/(2/(-4)). Determine p*y(j) + x*m(j).
-j
Let j(l) = 26*l**3 - 36*l**2 + 14*l - 78. Let g(x) = 9*x**3 - 13*x**2 + 5*x - 27. Determine -11*g(t) + 4*j(t).
5*t**3 - t**2 + t - 15
Let g(f) = -4*f + 7. Suppose b = 2*b - 3. Let k(h) be the first derivative of 6*h**2 - b*h**2 - 2*h**2 - 10 - 4*h. Give 3*g(q) + 5*k(q).
-2*q + 1
Let y be (-2)/8 - 33/12. Let b(w) = 7*w + 9*w + 8*w + 4*w**2 - w**2 - 21*w. Suppose 4*a = 2*a - 4. Let h(z) = -3*z**2 - 2*z. Give a*b(i) + y*h(i).
3*i**2
Let c(x) = -9*x**3 + 16*x**2 - 5*x - 49. Let k(h) = -3*h**3 + 5*h**2 - 2*h - 17. Calculate 3*c(v) - 8*k(v).
-3*v**3 + 8*v**2 + v - 11
Let b(m) = 331*m**2 + 6*m - 3. Let v(o) = -326*o**2 - 8*o. What is -4*b(p) - 3*v(p)?
-346*p**2 + 12
Let l(q) = -q - 5. Let b(c) = 988*c + 910. What is -2*b(u) - 364*l(u)?
-1612*u
Let v = 1925 - 1921. Let a(d) = -d - 7. Let h(y) = 1. Let w(t) = -3*a(t) - 15*h(t). Let j(r) be the first derivative of -r**2/2 - r + 203. Give v*j(m) + w(m).
-m + 2
Let d(f) = 581*f**2 + 42*f - 4. Let i(n) = 581*n**2 + 31*n - 3. Calculate 3*d(h) - 4*i(h).
-581*h**2 + 2*h
Suppose 0 = 17*s + 4543 + 506. Let j be (-4)/(-3)*(s/(-18))/(-11). Let d(n) = n - 1. Let f(y) = y - 1. What is j*f(x) + d(x)?
-x + 1
Let q = 36 + -35. Let t(z) = -1 - 3 - 49*z + 57*z. Let n(v) = v - 1. Give q*t(w) - 6*n(w).
2*w + 2
Let a(m) = 2*m - 4. Let c(s) = 2986*s**2 + 11944*s - 23888. Give -5972*a(x) + c(x).
2986*x**2
Let l(q) = -255*q + 61. Let t(f) = -126*f + 35. Give 3*l(j) - 5*t(j).
-135*j + 8
Let i(l) = -83*l - 1 - 2 + 142*l - 40*l. Let c(v) = v + 1. Give -c(p) - i(p).
-20*p + 2
Let l(x) = -781*x + 11. Let k(t) = -2342*t + 38. Determine 2*k(m) - 7*l(m).
783*m - 1
Let o(s) = 3 - 1 + 9*s + 13*s**2 - 11 - 2*s. Let d(f) = 3*f - 4 - 63*f**2 - 67*f**2 + 200*f**2 - 64*f**2. What is -9*d(q) + 4*o(q)?
-2*q**2 + q
Let l(n) be the third derivative of 5*n**4/12 - n**3/6 - 4120*n**2. Let u(w) = -9*w + 2. Determine 4*l(v) + 3*u(v).
13*v + 2
Let z(x) = 7*x**2 + 2. Let b(y) = 39*y**2 + 12*y + 13. Determine b(g) - 6*z(g).
-3*g**2 + 12*g + 1
Let x(m) = 14*m + 1587. Let o(z) = 26*z + 3163. Calculate -4*o(v) + 7*x(v).
-6*v - 1543
Let s(u) = 2224*u - 85. Let v(n) = 2225*n - 99. Give -7*s(t) + 6*v(t).
-2218*t + 1
Let d(r) = -1658*r**3 - 4*r**2 - 5*r. Let o(q) = 1659*q**3 + 3*q**2 + 4*q. Determine -3*d(v) - 4*o(v).
-1662*v**3 - v
Let h(u) = 698*u. Let w(z) = 2765*z - 1. What is 9*h(l) - 2*w(l)?
752*l + 2
Let y(m) = -25*m + 323. Let x(g) = 44*g - 647. Give 4*x(f) + 7*y(f).
f - 327
Let p(f) = -199*f**3 - 6*f**2 - 6*f + 35. Let t(r) = -399*r**3 - 13*r**2 - 13*r + 76. What is -13*p(c) + 6*t(c)?
193*c**3 + 1
Let r(h) = 6*h**2 - 3*h - 3. Let w = 127 + -118. Let u(j) = 25*j**2 - 13*j - 13. Calculate w*r(p) - 2*u(p).
4*p**2 - p - 1
Let l(x) = 23*x**3 - 253*x - 4. Let y(d) = 3*d**3 - d - 2. What is -l(q) + 2*y(q)?
-17*q**3 + 251*q
Let h(g) = g**2 - 11*g + 25. Let o(i) = -558*i + 455 + 556*i - 450. Suppose 35 + 20 = 5*d. Determine d*o(y) - 2*h(y).
-2*y**2 + 5
Let h(c) = -5*c**2 - 9. Let l = 9794 + -9799. Let z(k) = -3*k**2 - 6. What is l*h(g) + 8*z(g)?
g**2 - 3
Let t(v) = 22*v - 27. Let u(r) = -24*r + 15. Let i(s) = 2*t(s) + 3*u(s). Let k(q) = q + 1. Calculate -2*i(h) - 18*k(h).
38*h
Let j(z) = 52*z - 2692. Let w(x) = -15*x + 897. Determine -2*j(y) - 7*w(y).
y - 895
Let w(d) = 14*d - 5590 + 5586 - 15*d. Let c(p) = -5. Determine -4*c(n) + 5*w(n).
-5*n
Let d(s) = -12*s**2 - 2*s. Let y(w) = 49*w**2 + 685*w - 2. Calculate -4*d(t) - y(t).
-t**2 - 677*t + 2
Let g(n) = -1 + 2 - 29*n**2 + n - 2*n + 47*n**2 - 19*n**2. Let i(s) = 28*s**2 - 16*s + 16. Calculate -16*g(d) + i(d).
44*d**2
Let f(q) = -q**2 - q - 1. Let t(m) = 4*m**3 - 14*m**3 - 11 - 11*m + 17*m**3 - 227*m**2 + 216*m**2. Determine 22*f(j) - 2*t(j).
-14*j**3
Let h(i) = i**2 - 20*i - 26. Let t be h(22). Suppose -2*m + 5*k = -26, -4*m + t = -k + 2. Let s(x) = x**3 + 10. Let q(c) = 9. Calculate m*q(g) - 2*s(g).
-2*g**3 + 7
Let h(p) = -3*p**2 - 8*p - 8. Let t(j) = -j**2 - 3*j - 3. Let b = 70 - 53. Suppose -18*w = -b*w + 3. Determine w*h(q) + 8*t(q).
q**2
Suppose 3*m + m - 24 = 0. Let o(d) = 23*d + 6. Let t be (4 - 5/(20/(-792))) + 2. Let h(v) = -101*v + 1 + t*v - 99*v. What is m*o(f) - 34*h(f)?
2*f + 2
Let o(s) = -s**3 + 2*s**2 - 61*s + 1. Let n(w) = -2*w**3 + 62*w + 108. Calculate n(y) + o(y).
-3*y**3 + 2*y**2 + y + 109
Let c(i) = -3*i**2 + 9*i + 3. Let w(h) = -4*h**2 + 10*h + 4. Let p = -422 + 427. Suppose p*n - 3*n - 13 = -j, -3*n + 2*j = -16. Calculate n*c(f) - 5*w(f).
2*f**2 + 4*f - 2
Let s(l) = -6606*l - 184. Let r(m) = 6605*m + 230. Give -4*r(k) - 5*s(k).
6610*k
Let m(p) = 7*p + 49. Let k(j) = 5*j + 6. Let c(y) = y. Suppose 2*b + 3*u - 3 = -2*u, -b + 6 = -2*u. Let n(w) = b*c(w) - k(w). Give 6*m(v) + 49*n(v).
-7*v
Let a(z) = 23*z**2 + 11*z - 11. Let o(u) = -43*u**2 - 21*u + 19. Determine -7*a(q) - 4*o(q).
11*q**2 + 7*q + 1
Let m(n) = 44*n**2 + 13*n. Let w(j) = -13*j**2 - j - 1. Let l(v) = m(v) + 3*w(v). Let c(x) = 14*x**2 + 29*x - 8. Determine 4*c(i) - 11*l(i).
i**2 + 6*i + 1
Let i(z) = -77*z - 170. Let h(a) = 211*a + 510. Give 4*h(u) + 11*i(u).
-3*u + 170
Let x(z) be the first derivative of -11*z**2 - 3*z + 890. Let q(u) = 43*u + 5. What is -3*q(m