 d**2
Let j(t) = t**3 + 3*t. Suppose 66*z + 2*x = 63*z + 27, 0 = -5*z + 5*x + 45. Let m(l) = -4*l**3 + l**2 - 12*l. Give z*j(f) + 2*m(f).
f**3 + 2*f**2 + 3*f
Let y(k) = -20743*k + 31. Let i(s) = -8297*s + 12. What is 13*i(d) - 5*y(d)?
-4146*d + 1
Let m(u) = 14*u**2 + 5*u + 12. Let o(n) = n**2 + 2. Give m(q) - 5*o(q).
9*q**2 + 5*q + 2
Suppose 675 + 5058 = -147*r. Let j(g) = -61*g + 13. Let b(q) = -10*q + 2. Determine r*b(p) + 6*j(p).
24*p
Let t(h) = 9*h + 6. Let k(f) = 18*f + 12. Let r(a) = 3*k(a) - 5*t(a). Let z(d) = 35*d + 660. Let j be z(-19). Let i(g) = -9*g - 5. Determine j*i(p) - 4*r(p).
9*p + 1
Let q(c) = -c + 1. Let f(y) = -481 + 2*y + 964 - 483 + 2*y. Determine 2*f(x) + 4*q(x).
4*x + 4
Let s(d) = -53*d + 39. Let c(t) = -185*t + 156. Give 8*c(w) - 30*s(w).
110*w + 78
Let p(i) = 5*i. Let v(t) = 4*t. Let y = -226 + 108. Let u = y - -73. Let l = -50 - u. What is l*p(k) + 6*v(k)?
-k
Let z(u) = 2*u**2 - 5*u + 5. Let q(w) be the third derivative of w**5/60 - w**4/6 + 2*w**3/3 - w**2. Suppose 391 - 176 + 525 = 185*c. Determine c*z(v) - 5*q(v).
3*v**2
Let b(n) = 1619*n - 2. Let c(z) = -1619*z + 2. Give 3*b(k) + 4*c(k).
-1619*k + 2
Let w(n) = -16*n**2 - 101*n - 5. Let h(c) be the second derivative of -c**4/4 - 10*c**3/3 - c**2/2 + 1823*c. Give -11*h(f) + 2*w(f).
f**2 + 18*f + 1
Let f(h) = -2*h + 52. Let p(m) be the first derivative of -m**2/2 + 26*m + 2624. What is -2*f(i) + 5*p(i)?
-i + 26
Let w(v) = -v**3 - 63*v**2 + 441*v - 4. Let t(g) = g**3 + 79*g**2 - 440*g + 5. Calculate 4*t(d) + 5*w(d).
-d**3 + d**2 + 445*d
Let d(h) = -63*h**2 + 94*h + 3. Let j(t) = -123*t**2 + 187*t + 5. Calculate -7*d(v) + 4*j(v).
-51*v**2 + 90*v - 1
Let c(l) = 2*l**3 - 14*l**2 + 4*l - 3. Let k(s) be the second derivative of s**4/12 - s**3/6 + s**2/2 - 181*s. Determine -c(y) - 3*k(y).
-2*y**3 + 11*y**2 - y
Let l(m) = 403*m**2 + 407*m**2 + 408*m**2 - 1217*m**2. Let p(n) = -8*n**2. What is -2*l(q) + p(q)?
-10*q**2
Let g(b) = -1. Let r(x) = -4. Let l(n) = 3*g(n) - r(n). Let t = -3 - -1. Let f(u) = -21. Let v(o) = o - 85. Let w(y) = -4*f(y) + v(y). Determine t*l(s) + w(s).
s - 3
Let m(y) = -4*y**2 - y - 1. Let a(d) = 444*d**3 + 75*d**2 + 19*d + 19. Determine -2*a(c) - 38*m(c).
-888*c**3 + 2*c**2
Let c(k) = -1832*k**3 + 5*k**2 + 15*k - 5. Let a(n) = -671428*n**3 + 1832*n**2 + 5496*n - 1832. Give -5*a(z) + 1832*c(z).
916*z**3
Let a(l) = 56*l - 10. Let b = -1852 - -1863. Let u(z) = 11*z - 2. Determine b*u(q) - 2*a(q).
9*q - 2
Let p(c) = 2*c**2. Let z(r) = -665*r**2 - 6*r. Determine 11*p(u) + z(u).
-643*u**2 - 6*u
Let r = -60 - -142. Suppose r = 5*b + 27. Let d(o) be the first derivative of -o**2/2 + 4*o - 418624. Let a(g) = 3*g - 11. What is b*d(i) + 4*a(i)?
i
Let w(f) = 454*f**3 - 7*f**2 - 2. Let v(p) = 3633*p**3 - 58*p**2 - 17. Calculate -2*v(y) + 17*w(y).
452*y**3 - 3*y**2
Let h(j) be the first derivative of 2*j**2 + 6*j - 11. Suppose -3*d = -7*d - 4. Let y(i) be the first derivative of i**2/2 + i + 22. What is d*h(f) + 6*y(f)?
2*f
Let s(t) be the third derivative of -t**6/20 - t**4/24 + t**3/3 - 667*t**2 - 5*t. Let i(b) = 7*b**3 + 2*b - 2. Give -4*i(x) - 5*s(x).
2*x**3 - 3*x - 2
Let c(g) = -g**3 - 3*g**2 - g - 1. Let a(q) = 4704*q**3 + 576*q**2 + 192*q + 192. Determine a(m) + 192*c(m).
4512*m**3
Let y(c) = -3*c + 2. Let i(a) be the third derivative of -a**4/24 + 1870*a**2. Suppose -5*r = -2*r + 12. Give r*i(q) + y(q).
q + 2
Let h(u) = u**3 + 8*u**2 - 19*u + 19. Let j be h(-10). Suppose 3*w - 6*w = 9, -2*w = -3*s + j. Let g(d) = d - 1. Let i(f) = -4*f + 4. Give s*i(o) + 6*g(o).
2*o - 2
Let y(q) = 232*q**2 + 2*q + 3. Let a(v) = 697*v**2 + 6*v + 10. Give 4*a(n) - 13*y(n).
-228*n**2 - 2*n + 1
Let m(x) = -x**3 - x**2 + x + 1. Let s(d) = 2*d**3 + d**2 - 1. Let o = 13838 + -13841. Give o*s(w) - 3*m(w).
-3*w**3 - 3*w
Let r = 16 - 23. Suppose -3*z + 17*g - 20*g = 3, 0 = 2*z - 4*g + 32. Let q(p) = -p**3 + 8*p**2 - 5. Let m(c) = c**3 - 7*c**2 + 4. Determine r*m(n) + z*q(n).
-n**3 + n**2 + 2
Let r(c) = 11 + 3*c - 3 - 2*c + 4*c. Let k(t) = -573*t - 54. Let b(f) = 445*f + 41. Let v(j) = 9*b(j) + 7*k(j). Give 7*r(p) + 6*v(p).
-p + 2
Let f(w) = -1399*w - 2. Let k(i) = 4183*i + 8. Give 7*f(v) + 2*k(v).
-1427*v + 2
Let u(j) = -2377*j**3 + 16*j**2 + 8*j + 16. Let n(k) = 233739*k**3 - 1574*k**2 - 787*k - 1574. Calculate 8*n(g) + 787*u(g).
-787*g**3
Let d(x) = 4*x - 315 - x + 151 + 162. Suppose v - 6 = -4*s, v - 3 - 3 = -2*s. Let t be (17/(-1))/(2/v). Let h(f) = -25*f + 17. What is t*d(b) - 6*h(b)?
-3*b
Let c(s) = -4*s**3 - 4*s**2 - 4. Let z(x) = 53*x**2 - 2 - 4*x**3 - 35*x**2 - 21*x**2 - 1. Let o = -4 + 1. Give o*c(r) + 4*z(r).
-4*r**3
Let i(t) = 36*t**2 + 28*t + 84. Let k(v) = -8*v**2 - 6*v - 17. Give -3*i(d) - 14*k(d).
4*d**2 - 14
Let a(b) = 4*b**2 - 9*b - 32. Let m(t) = -10*t**2 + 21*t + 65. Determine 7*a(r) + 3*m(r).
-2*r**2 - 29
Let r(b) = -11*b - 9. Let d(h) be the second derivative of -h**3/6 + 2*h**2 + 8*h + 11. Let i(t) = -t. Let x(a) = d(a) - 6*i(a). Calculate -6*r(c) - 13*x(c).
c + 2
Let b(j) = -88*j**2 + 32*j. Suppose 4*f + 120 = -2*z - 2*z, 0 = 5*f - 4*z + 168. Let a(c) = -11*c + 3*c**2 + 5*c**2 + 8*c. Calculate f*a(q) - 3*b(q).
8*q**2
Let s(n) = -4*n**3 + 5*n**2 - n. Let b(c) = 7*c**3 - 11*c**2 + 2*c. Let r be (-10 - -12 - (1 - 3)) + 93/(-93). Calculate r*b(j) + 5*s(j).
j**3 - 8*j**2 + j
Let w(s) = 10*s**3 + 82*s**2 + 11*s - 34. Let f(p) = -p**3 - 2*p**2 - p + 2. What is -12*f(v) - w(v)?
2*v**3 - 58*v**2 + v + 10
Let d(s) = -s**3 + 4*s**2 + 75*s - 5. Let b(m) = -1. Calculate -5*b(c) + d(c).
-c**3 + 4*c**2 + 75*c
Let f(a) = -4*a**3 - 40*a**2 - 372*a + 15. Let o(x) = x**3 + 11*x**2 + 93*x - 4. Calculate -4*f(c) - 15*o(c).
c**3 - 5*c**2 + 93*c
Let b(u) = 4*u + 2. Let y(k) = -2*k**2 + 4*k + 5. Let q(r) = 2*b(r) - y(r). Let c(j) = -2*j**2 - 5*j - 1 - 2 + 5. Determine 2*c(w) + 3*q(w).
2*w**2 + 2*w + 1
Let b(i) = -21*i**2 - 9*i - 9. Let y(u) = -10*u**2 - 4*u - 4. Let h = 280 - 274. Let a(q) = q**2 + 3*q - 45. Let k be a(h). Give k*y(f) - 4*b(f).
-6*f**2
Let k(c) = 7404164*c**3 + 57652*c**2 + 14413. Let z(w) = -2055*w**3 - 16*w**2 - 4. Determine 4*k(v) + 14413*z(v).
-2059*v**3
Let o(f) = 5*f + 6973. Let b(q) = 2*q + 2325. What is 8*b(h) - 3*o(h)?
h - 2319
Let x(t) be the third derivative of -t**4/12 + 5*t**3/3 - 2589*t**2 - t. Let d(w) = 4*w - 21. Give 2*d(g) + 5*x(g).
-2*g + 8
Let x = -232 - -83. Let v = -145 - x. Let q(z) = -2*z**3 - 5*z**2 - 5*z - 5. Let f(d) = -5*d + d - 3 - 4*d**2 - 1 - d**3. Calculate v*q(j) - 5*f(j).
-3*j**3
Let d be (1 - -2)/(3/15). Let f(l) = -l**3 + 13*l**2 + 31*l - 20. Let c be f(d). Let g(a) = 2*a**2 + 5. Let o(z) = -z**2 - 4. What is c*o(y) - 4*g(y)?
-3*y**2
Let u(y) = -2081*y**3 + 15*y**2 + y - 1. Let l(x) = 1038*x**3 - 6*x**2. Determine 5*l(v) + 2*u(v).
1028*v**3 + 2*v - 2
Let o(c) = -8559*c**3 + 3804*c**2 + 3804*c - 3804. Let p(l) = -2*l**3 + l**2 + l - 1. Calculate o(a) - 3804*p(a).
-951*a**3
Let m(o) = 20*o + 783. Let g(b) = -41*b - 1832. Let c(v) = -3*g(v) - 7*m(v). Let s(y) = 2*y - 11*y + 4 + 1 + 3. Let d be 0 + 1 + -7*1. Give d*c(r) + 11*s(r).
3*r - 2
Let v(p) = 9*p**2 - 7*p + 1881. Let r(j) = 6*j**2 - 5*j + 1256. Determine 7*r(h) - 5*v(h).
-3*h**2 - 613
Let i(k) = 14*k**2 + 21*k + 1. Let u(g) be the second derivative of g**4/4 + 2*g**3/3 + 75*g - 3. Calculate 2*i(h) - 11*u(h).
-5*h**2 - 2*h + 2
Let n(c) = -2*c**3 + 4*c**2 - 2*c. Let r be (11/(-4) + 2)*-4. Let y(m) be the second derivative of -m**5/20 + m**4/4 - m**3/3 + 13*m. Calculate r*n(s) - 4*y(s).
-2*s**3 + 2*s
Let u(a) = -25*a + 5. Let d(k) = 102*k - 16. Let p(q) = 29*q + 22 + 9*q - 16 - 14 + 12*q. Let t(m) = 6*d(m) - 13*p(m). Calculate -5*t(j) + 8*u(j).
-10*j
Let s(u) = 5*u**2 + 416*u - 11. Let f(p) = 9*p**2 + 830*p - 20. Determine 6*f(r) - 11*s(r).
-r**2 + 404*r + 1
Let g(r) = r**3 - 1. Let a(l) = 4*l**2 - 340*l**3 - 5 + 183*l**3 + 160*l**3 - 2*l. Calculate -a(h) + 5*g(h).
2*h**3 - 4*h**2 + 2*h
Let h(u) = 6*u + 0*u**3 - 4*u**3 - 22579*u**2 - 3 + 22577*u**2. Let o(a) = 3*a**3 + 2*a**2 - 5*a + 3. Calculate 5*h(s) + 6*o(s).
-2*s**3 + 2*s**2 + 3
Let c(q) = 6*q**2 - 180*q + 342. Let a be c(28). Let y(p) = 8*p**2 - p - 9. Let o(d) = -17*d**2 + 2*d + 19. Calculate a*o(j) + 13*y(j).
2*j**2 - j - 3
Suppose -5*p = -5*a + 15, -3*a + 3*p + 15 = a. Let k(t) = -4*t**2 + 6*t - 6. Let n(m) = 5 + 8523