- 3*u(a).
47*a**2
Let n(g) = 3*g**3 + 36*g**2 + 5*g. Let u(z) = z**3 + 35*z**2 + 4*z. Determine 4*n(i) - 5*u(i).
7*i**3 - 31*i**2
Let o(y) = -7*y**3 + 8. Let b(z) = -6*z**3 + 7. Let i = 46 - 41. Suppose 24 = 3*l + 3*k, 0 = -i*l + 7*l - 2*k + 4. Determine l*o(h) - 4*b(h).
3*h**3 - 4
Let v(s) = -157*s**2 + 2*s - 6. Let c(o) = -470*o**2 + 6*o - 18. Give 3*c(h) - 8*v(h).
-154*h**2 + 2*h - 6
Let q(n) = -18*n**2 + 9*n - 57. Let r(l) = -35*l**2 + 17*l - 105. What is -11*q(d) + 6*r(d)?
-12*d**2 + 3*d - 3
Let s(h) = -24*h**3 + 9*h**2 - 8*h + 9. Let b be 6/(-20) + ((-252)/(-40) - 4). Let l(x) = 6*x**3 - 2*x**2 + 2*x - 2. Give b*s(m) + 9*l(m).
6*m**3 + 2*m
Let u(t) = -40784*t + 35686. Let s(n) = -n + 1. Determine -71372*s(m) + 2*u(m).
-10196*m
Let f(x) = 151*x - 8. Let l(t) = 144 - 42 - 48 - 49 - 3*t - 98*t. What is 5*f(r) + 8*l(r)?
-53*r
Let p(x) = 10*x**2 - 72*x. Let d(l) = 6*l**2 - 35*l. What is -7*d(v) + 4*p(v)?
-2*v**2 - 43*v
Let q(a) = 24*a - 1. Let o(z) = 25*z + 62 + 66 + 61 - 191. What is -2*o(c) + 3*q(c)?
22*c + 1
Let v(t) = -22*t + 4. Let k be (-19)/(57/36) + 49/7. Let w(d) = d - 1. What is k*w(z) - v(z)?
17*z + 1
Let b(d) = -8*d**3 + 6*d**2 - 1499*d. Let z(y) = 7*y**3 - 5*y**2 + 1499*y. Give 5*b(u) + 6*z(u).
2*u**3 + 1499*u
Let k(w) be the first derivative of w**2/2 + w + 106. Let f(c) = c**2 - 38*c - 2. Calculate f(z) + 2*k(z).
z**2 - 36*z
Let c(a) = a**2 - 6*a - 3. Let q(h) = 2*h**2 - 19*h - 68. Let p(f) = 2*f**2 - 22*f - 84. Let i(o) = 4*p(o) - 5*q(o). Give 5*c(l) + 4*i(l).
-3*l**2 - 2*l + 1
Let v(w) = 306*w + 36. Let q(s) = -5*s - 7. Calculate 5*q(c) + v(c).
281*c + 1
Let y(r) = -20*r - 1. Let n = 19194 + -19195. Let w(s) = -s. Give n*w(a) + y(a).
-19*a - 1
Let j(g) be the third derivative of -g**4/24 + 2*g**2 - 10. Let o(q) be the first derivative of -q**2 - q + 46. Give 3*j(s) - o(s).
-s + 1
Let w(s) = s + 5. Suppose -3*p = 42*p + 135. Let t(j) = -j - 6. Calculate p*t(q) - 4*w(q).
-q - 2
Let x(u) = -6948*u + 9264. Let o(i) = i - 2. What is 4632*o(g) + x(g)?
-2316*g
Let o(s) = 3*s**2 - 4*s - 2. Let x(q) = -q**3 - 4*q**2 + 5*q + 2. Suppose 0 = 85*p + 52*p + 102 - 787. What is p*o(m) + 4*x(m)?
-4*m**3 - m**2 - 2
Let y(o) = 118*o**3 - 3*o**2 + 2*o + 11. Let a(b) = -116*b**3 + 4*b**2 - 3*b - 13. What is -4*a(q) - 5*y(q)?
-126*q**3 - q**2 + 2*q - 3
Let l(a) = a**2 + 339*a - 172. Let f(y) = y**2 + 170*y - 103. What is -5*f(b) + 3*l(b)?
-2*b**2 + 167*b - 1
Let y(m) = 17*m + 2. Suppose -2167*z + 2164*z = 3. Let j(u) = -u - 1. Determine z*y(n) - 4*j(n).
-13*n + 2
Let t(w) = -12*w**3 + 10*w - 5. Let p be t(-3). Let j = p + -285. Let b(z) = -36*z**2 - 11*z - 11. Let l(s) = 7*s**2 + 2*s + 2. Determine j*b(u) + 22*l(u).
10*u**2
Let o(n) = 15468*n**3 + 21*n**2 - 14*n - 7. Let f(v) = -102444566*v**3 - 139086*v**2 + 92724*v + 46362. Give -7*f(c) - 46362*o(c).
-15454*c**3
Let r be (-2)/(-13) - 492/(-13). Let o(f) = 3 - 3 - 4 - 39*f + r*f. Let u be o(-7). Let p(b) = -b**3 + 7*b - 7. Let s(j) = -3*j + 3. What is u*p(v) + 7*s(v)?
-3*v**3
Let t(y) = y**3 + 5*y**2 - 4*y + 1. Let s(k) = -k**3 - 15*k**2 + 151*k - 3. Determine -s(f) - 3*t(f).
-2*f**3 - 139*f
Let r(j) = -2*j + 3. Let n = 12786 + -12788. Let t(g) = 2*g - 3. Determine n*r(p) - 3*t(p).
-2*p + 3
Let s(j) = -16*j**3 - 697*j**2 + 6*j + 11. Let k(v) = 3*v**3 + 139*v**2 - v - 2. Give -11*k(i) - 2*s(i).
-i**3 - 135*i**2 - i
Let g(o) = 27*o**3 + 3*o**2 - 3. Let n(l) = -28*l**3 - 2*l**2 + 2. Determine -2*g(s) - 3*n(s).
30*s**3
Let r(b) = 13*b - 3. Let a(y) = 64*y + 469. Give a(z) - 5*r(z).
-z + 484
Let f(n) = -4*n - 10. Let w be f(-2). Let r be -4 - ((0 - 6) + 0). Let h(y) = 3*y + 4*y - r*y - 3 + 0*y. Let l(x) = x - 1. Calculate w*h(m) + 6*l(m).
-4*m
Let x(q) = -4*q**3 + 2*q**2 - q + 2. Let h(g) be the third derivative of 1/15*g**5 - 1/15*g**6 + 13*g**2 - 1/8*g**4 + 5/6*g**3 + 0 + 2*g. Give 2*h(f) - 5*x(f).
4*f**3 - 2*f**2 - f
Let f(y) = 27*y. Let p(c) = -108*c. Suppose -m - 2 = 2*b, -2*b - 25 = 5*m - 31. Calculate b*p(r) - 9*f(r).
-27*r
Let y(l) = -l**2. Let x(u) = 8*u**2. Let h(i) = -2*i**2 - 24*i + 17. Let s be h(-12). Let d = 9 + 4. Let q = s - d. Give q*y(r) + x(r).
4*r**2
Let c(k) = 14*k - 20. Let i(l) = -l + 7. Let s(u) = -259. Let m(f) = 20. Let j(v) = -77*m(v) - 6*s(v). Let z(t) = 5*i(t) - 2*j(t). Give 3*c(w) + 8*z(w).
2*w - 4
Let w(l) = 3*l - 4. Suppose -o = 3*s - 248, 17*o - 21*o = -5*s - 907. Let n = o - 231. Let u(p) = -p + 2. Calculate n*w(c) + 5*u(c).
c + 2
Let t(h) = h**2 + h + 1. Let c(o) be the first derivative of 1/3*o**3 + 0*o + 13 + 1/2*o**2. Calculate -2*c(q) + t(q).
-q**2 - q + 1
Let q(x) = -x**2 + 5*x - 2. Let d be -6*(510/9 - -6). Let o = d + 379. Let y(t) = t**2 - 6*t + 3. What is o*q(n) + 2*y(n)?
-n**2 + 3*n
Let z be (-2 - -1)*1*-6. Let b(h) = -586*h + 32. Let m(o) = 176*o - 10. Let x(r) = -3*b(r) - 10*m(r). Let t(c) = -1. Determine z*t(q) + x(q).
-2*q - 2
Let m(h) = -3*h - 14. Suppose 3*s = 3*x + 6, 4*s = x - 5*x + 32. Let v(z) = 15 + 6*z - 6 - 4*z. Give s*m(g) + 7*v(g).
-g - 7
Let d(s) = -2623*s + 5217*s - 2600*s + 8. Let u(m) = 5*m - 7. Give 2*d(o) + 3*u(o).
3*o - 5
Let w(t) = 20*t + 1798. Let n(o) = 51*o + 3594. Determine -2*n(i) + 5*w(i).
-2*i + 1802
Let z(u) = -u**3 + 12*u**2 + 30*u - 24. Let b be z(14). Suppose 3*q + b = -q. Let a(t) = t**2 - t - 1. Let k(c) = c**2 - 5*c - 6. Determine q*k(y) + 6*a(y).
5*y**2 - y
Let d(h) = 3*h**2 - 3*h - 3. Let t(o) = -14*o - 4*o**2 + 23*o**2 - 7*o**2 + 21 + 4*o**2 - 35. Suppose 0*q + 2*q + 6 = 0. What is q*t(k) + 14*d(k)?
-6*k**2
Suppose k = 6*a - 4*a + 9, -3*k = -4*a - 17. Let o(f) = -17*f**2 - 9*f. Let p(b) = -418*b - 408*b + 832*b + 11*b**2. Calculate a*o(s) - 8*p(s).
-3*s**2 - 3*s
Let c = -104 - -110. Let g(r) be the third derivative of 4*r**6/15 + 17*r**5/60 - 1076*r**2. Let o(b) = 11*b**3 + 6*b**2. What is c*g(p) - 17*o(p)?
5*p**3
Let o(u) = 18*u**2 - 3*u - 25. Let y(b) = -17*b**2 + 2*b + 31. What is 4*o(a) + 3*y(a)?
21*a**2 - 6*a - 7
Let x be (-135)/(-189) + (-4)/(-14). Suppose -25 = -8*c - x. Let n(v) = -v + 4. Let q(p) = 3. What is c*n(a) - 4*q(a)?
-3*a
Let x(c) = 43*c**3 + 10*c**2 - 22*c - 10. Let s(k) = 42*k**3 + 12*k**2 - 23*k - 12. Give -5*s(j) + 6*x(j).
48*j**3 - 17*j
Let g(s) = -29*s**3 - 2*s**2 + 3*s. Let y(u) = 144*u**3 + 10*u**2 - 14*u. Let v(j) = -9*j**2 + 412*j - 312. Let x be v(45). Give x*y(w) + 14*g(w).
26*w**3 + 2*w**2
Let v(s) be the first derivative of s**3/3 + 5*s**2/2 + 2*s + 60839. Let n(r) = -2*r + 2 + 3*r - 3 - r**2. Determine -2*n(f) - v(f).
f**2 - 7*f
Let g(f) = f**3 + 2*f**2 + f - 1. Let d(o) = 13*o**3 + 14*o**2 + 4*o + 10. What is -d(y) + 7*g(y)?
-6*y**3 + 3*y - 17
Let o(i) = 3326*i**2 - 5*i. Let d(t) = -3329*t**2 + 4*t. Determine 5*d(z) + 4*o(z).
-3341*z**2
Let w(v) = 15*v**2 + 11*v - 106. Let j(k) = -8*k**2 - 6*k + 60. Let z(l) = -7*j(l) - 4*w(l). Let x(m) = -m**3 - 5*m**2 - m + 5. What is 4*x(u) - 5*z(u)?
-4*u**3 + 6*u
Let j(m) = -8*m**3 - 3*m**2 - 13*m - 15. Let v(g) = -7*g**3 - 4*g**2 - 13*g - 20. Give 4*j(o) - 3*v(o).
-11*o**3 - 13*o
Let f(w) = w + 7. Let y be f(-8). Let u(i) = i**3 - i**2 + i - 1. Let p be (0 - -11) + 254 + -267. Let k(z) = z**2 - 2*z + 5. Calculate p*u(o) + y*k(o).
-2*o**3 + o**2 - 3
Let m(k) = -127*k**3 + 62*k**2 - 18*k. Let j(y) = 63*y**3 - 26*y**2 + 8*y. Calculate 9*j(p) + 4*m(p).
59*p**3 + 14*p**2
Let z be (-2)/(-2) + (-9)/(-9). Let w(q) = q - 5 + 7 + 2 + 2*q. Let k(j) = -7*j - 65. Let p(a) = -2*a - 15. Let h(b) = 2*k(b) - 9*p(b). What is z*h(i) - 3*w(i)?
-i - 2
Let s(z) = 4*z**3 + 3*z**2. Let t(p) = 5*p**3 + 4*p**2. Let l = -96 + 85. Let c be (15 + 1)*(l/2 + 6). Let q be (2 - c - -4) + -4. Give q*s(a) + 5*t(a).
a**3 + 2*a**2
Let j(n) = -2*n - 54. Let h(s) = -54*s - 2153. Let i be h(-40). Let g(a) = 5*a + 108. Calculate i*j(v) + 3*g(v).
v - 54
Let x = -2 + -2. Suppose 8*u + k - 18 = 5*u, 20 = 2*u - 2*k. Let p(v) = u*v**2 - 3*v**2 + 33 + 2*v**3 - 37. Let l(s) = -s**2 + 1. Give x*l(t) - p(t).
-2*t**3
Let h(b) = 4*b + 6. Let o(u) = -u**2 + 28. Suppose -9*l - 45 = -18*l. Let n be o(l). Let t(j) = 7 - 6*j + 2*j + n*j + 6*j. Calculate 6*h(q) - 5*t(q).
-q + 1
Let q(w) = 3*w**3 - 7*w**2 - 19*w - 8. Let v(j) = -j**3 + 2*j**2 + 6*j + 3. Let f(s) = -s**3 + 21*s**2 - 16*s - 78. Let p be f(20). What is p*q(a) + 7*v(a)?
-a**3 + 4*a + 5
Let b(a) = 13*a**2 - 37*a - 94. Let v(j) = -6*j**2