- 31*f**k + 5 + 5*f. What is -4*s(t) - 5*v(t)?
2*t**2
Let g(b) = -2*b + 7. Let f(l) = 17*l - 13. Let o(q) = -93*q + 70. Let i(t) = -11*f(t) - 2*o(t). What is -4*g(p) + 7*i(p)?
p - 7
Let u be (-10)/30 + 16/(-6). Let o(d) = d**3 - d**2 + d. Suppose -3 = -3*w + 2*w. Let q(j) = 3*j**2 - 3*j - j**3 + 3*j**3 - w*j**3. Determine u*o(p) - q(p).
-2*p**3
Let z = 116 - 108. Let g be z - 18/(-15)*50/(-15). Let q(j) = -5*j - g*j - 3 + j + 3*j. Let c(k) = 35*k + 20. Calculate -3*c(p) - 20*q(p).
-5*p
Let j(p) = -76*p - 606. Let o be j(-8). Let z(g) be the third derivative of 0*g + 2*g**2 + 1/24*g**4 - 1/6*g**3 + 0. Let q(k) = -k + 3. Determine o*z(m) + q(m).
m + 1
Let t(s) = 32*s**2 + 13*s + 8. Let w(y) = 15*y**2 + 6*y + 4. What is 2*t(l) - 5*w(l)?
-11*l**2 - 4*l - 4
Let b(g) be the third derivative of -g**5/60 + 11*g**4/24 - 29*g**3/6 - 46*g**2. Let r be b(6). Let l(q) = q - 2. Let k(s) = s**2 + s - 1. Give r*l(f) - k(f).
-f**2 - 1
Let b(d) = 7*d**3 - 4*d**2 + 1. Let c be 72/54*27/(-6). Let k(w) = 8*w**3 - 5*w**2 + 1. What is c*b(h) + 5*k(h)?
-2*h**3 - h**2 - 1
Let k(f) = -37*f**3 + 13*f**2 - 2*f - 17. Let p(g) = -18*g**3 + 6*g**2 - g - 8. Let l be 11 + (-42)/28*16. Determine l*p(u) + 6*k(u).
12*u**3 + u + 2
Suppose -x + 17 = 5*y, -5 = 2*y - 5*y + 2*x. Let u(g) = y - 7*g - 12 + 4*g**2 + 6 + 2*g. Let w(m) = 4*m**2 - 6*m - 4. Determine -4*u(z) + 3*w(z).
-4*z**2 + 2*z
Let t(x) = 4*x + 9. Let d(i) = -4*i - 8. Let u = 980 + -987. Calculate u*d(v) - 6*t(v).
4*v + 2
Let i(a) = 10*a**3 + 6. Let n(o) = 3*o**3 + 2. Suppose -3*q + 11 + 5 = -2*r, 0 = -2*r + 5*q - 20. Suppose 101*w + 5239 - 6855 = 0. Give r*i(b) + w*n(b).
-2*b**3 + 2
Let r(i) = 5*i**2 + 14*i - 3. Let f(g) = -14*g**2 - 38*g + 8. Determine -4*f(k) - 11*r(k).
k**2 - 2*k + 1
Let t(r) = -r**2 - r + 1. Let u(i) be the third derivative of -5/24*i**4 - 1/20*i**5 - 5 + 2/3*i**3 + 0*i - 2*i**2. Determine -4*t(f) + u(f).
f**2 - f
Let s(x) = x + 3. Let q = -53 + 54. Let z(r) = -3*r - 17*r + 4*r + 7*r + 10*r. Give q*z(u) + s(u).
2*u + 3
Let q(b) be the first derivative of -b**4/4 + b + 624. Let j(w) = -w**3 + 4*w. Determine -j(s) - 2*q(s).
3*s**3 - 4*s - 2
Let a(s) = -490*s - 196. Let h(f) = -7*f - 2. What is -2*a(j) + 196*h(j)?
-392*j
Let j(y) = -30*y**2 + 1744*y - 228. Let d be j(58). Let b(g) = g + 1. Let a(q) = 35*q + 6. Determine d*b(f) - a(f).
-31*f - 2
Suppose 5*a - 3*f = -0*a + 1496, 3*a - 904 = 5*f. Let s = -290 + a. Let n(x) = 26*x - 17*x + 5 - 2. Let b(d) = -14*d - 5. Determine s*n(u) + 5*b(u).
2*u - 1
Let l(i) = -7*i**2 - 350*i - 6. Let b(t) = 8*t**2 + 351*t + 7. What is 6*b(c) + 7*l(c)?
-c**2 - 344*c
Let k(x) = -10*x + 5. Let t(b) = -b + 1. Let w(f) = -k(f) + 3*t(f). Let l(g) be the second derivative of -10*g**3/3 + 3*g**2 - 67*g - 2. Give 6*l(o) + 17*w(o).
-o + 2
Let k(w) = 34*w**3 - 27*w - 19. Let x(a) = 18*a**3 - 14*a - 10. Let c(l) = -3*k(l) + 5*x(l). Let u(z) = 6*z**3 - 6*z - 4. Give 3*c(y) + 5*u(y).
-6*y**3 + 3*y + 1
Let f(s) = 5*s**3 - 2*s**2 - 14*s + 2. Let t(n) = -9*n**3 + 3*n**2 + 28*n - 4. Calculate 7*f(j) + 4*t(j).
-j**3 - 2*j**2 + 14*j - 2
Let w(n) = -n - 5. Let b(r) = r**2 - 13*r - 11. Let s(v) = -b(v) + w(v). Let m(l) = -l - 1. Calculate -6*m(z) - s(z).
z**2 - 6*z
Let x(k) = 65*k - 2. Let n(a) = 8*a + 14. Let p(d) = 5*d - 3. Let w(v) = -n(v) - 5*p(v). Give 5*w(m) + 3*x(m).
30*m - 1
Let d(q) be the third derivative of q**5/60 - q**4/24 - q**2 + 186. Let x(b) = 8*b**2 - 2*b. Calculate -2*d(h) + x(h).
6*h**2
Let t(n) be the first derivative of -n + 4578. Let q(m) = 7*m + 3. Calculate q(d) + 2*t(d).
7*d + 1
Let x(p) = -2*p**2 + p + 3. Let d(b) = -b + 72*b**2 + 5*b - 144*b**2 - 1 + 73*b**2 - 3*b. Calculate 3*d(m) + x(m).
m**2 + 4*m
Let y(z) = -5*z - 1. Let d(f) be the third derivative of 11*f**4/24 + 196*f**2. Let c(x) = 60*x. Let k(m) = 2*c(m) - 11*d(m). Give -9*k(a) + 2*y(a).
-a - 2
Let a(s) = -3*s + 408. Let y(d) = d - 136. Give 4*a(z) + 14*y(z).
2*z - 272
Let r(b) = -2*b**2 - 1. Let s(h) = -6*h**2 - 2*h + 654. Determine 2*r(x) - s(x).
2*x**2 + 2*x - 656
Let d(g) = -465*g + 19343. Let y(h) = 164*h - 6447. Calculate 6*d(o) + 17*y(o).
-2*o + 6459
Let w(a) = -1936*a**3 + 2*a. Let j(g) = 7746*g**3 - 9*g. What is -2*j(t) - 9*w(t)?
1932*t**3
Let l(x) = -10*x**3 - 41*x**2 - 71*x - 21. Let p(q) = 2*q**3 + 8*q**2 + 13*q + 4. What is 2*l(a) + 11*p(a)?
2*a**3 + 6*a**2 + a + 2
Let s(d) = -2*d + 166. Let t(g) = 6*g**2 + g - 165. What is 2*s(j) + 3*t(j)?
18*j**2 - j - 163
Let o(s) be the third derivative of s**5/60 + s**4/24 - s**2. Let b(g) = -g**2 - g. Let k = 2928 + -2925. Calculate k*o(w) + 2*b(w).
w**2 + w
Let k(g) = -3*g**2 + 8*g - 13. Let w(l) = -5*l**2 + 10*l - 12. Give -3*k(y) + 2*w(y).
-y**2 - 4*y + 15
Let a(u) = -16074*u**3 - 282*u**2 - 141*u + 3102. Let v(k) = -2*k**2 - k + 22. What is -a(c) + 141*v(c)?
16074*c**3
Let y(c) = 9*c - 5. Let z(n) = -14*n + 8. Let u be z(0). Let r(i) = -3*i + 2. Let h(k) = 3*k - 2. Let l(d) = -4*h(d) - 5*r(d). What is u*l(x) - 3*y(x)?
-3*x - 1
Let d(h) = 2*h**3 + 24*h**2 + 6*h - 13. Let s(j) = -5*j**3 - 52*j**2 - 13*j + 31. Calculate 13*d(o) + 6*s(o).
-4*o**3 + 17
Let j(n) be the first derivative of -n**2/2 + n - 527. Let g(k) = -6*k + 4*k + 6*k - 5. Give -g(i) - 5*j(i).
i
Let r(m) = -3*m**3 + 6*m - 7. Let g(k) = k**2 + 4*k + 13. Let l be g(-10). Let s(p) = 3*p - 81 + 4*p - 3*p**3 + l. Determine -7*r(z) + 6*s(z).
3*z**3 + 1
Let a(v) = 10*v**3 + v**2 - 17*v - 14. Let o(l) = 33*l**3 + 3*l**2 - 51*l - 44. What is -19*a(b) + 6*o(b)?
8*b**3 - b**2 + 17*b + 2
Let p(c) = c**2 - 21*c - 13. Let q(k) = -3*k**2 + 47*k + 28. Calculate 7*p(m) + 3*q(m).
-2*m**2 - 6*m - 7
Let t(m) = -3 - 2*m + 0*m + 8*m. Let r be 5664/32096*(-34)/(-2). Let j(c) = 3 - 4*c - 3*c + 1. What is r*t(u) + 2*j(u)?
4*u - 1
Let q(p) = 4*p**3 + 5*p**2 + 14*p + 6. Let i(y) = -y**3 + y**2 - 4*y + 1. Determine 5*i(o) - q(o).
-9*o**3 - 34*o - 1
Let h(t) = 5*t**3 - 32*t**2 + 39*t - 17. Let a(r) = -3*r**3 + 16*r**2 - 18*r + 8. Calculate -13*a(g) - 6*h(g).
9*g**3 - 16*g**2 - 2
Let k(v) = 1537*v**3 + 40*v**2 - 6. Let p(l) = 3842*l**3 + 96*l**2 - 14. What is 12*k(u) - 5*p(u)?
-766*u**3 - 2
Suppose 4*l = -17*l - 21. Let v(s) = s**2. Let f(g) = 3*g**2 - g - 4. What is l*f(r) + v(r)?
-2*r**2 + r + 4
Let c(h) = 1. Let p(a) = -14*a**2 + a. Suppose -40 = -5*z, 0 = -4*t - 14*z + 9*z + 36. Determine t*c(o) - p(o).
14*o**2 - o - 1
Let l(a) = -120*a - 4077. Let v(w) = -38*w - 1357. Calculate 6*l(i) - 19*v(i).
2*i + 1321
Let y(c) = c - 1. Let i(z) = 4*z + 10. Let n be i(9). Suppose 0 = -42*s + n*s + 20. Let r(b) be the first derivative of b**2 - b + 10. What is s*y(f) + 3*r(f)?
f + 2
Let o = 117440 - 117443. Let j(u) be the first derivative of -5*u**3/3 - u**2/2 - 2*u - 1. Let p(g) = -5*g**2 - g - 2. Give o*p(r) + 2*j(r).
5*r**2 + r + 2
Let u(x) be the third derivative of -x**4/8 + x**3 + 3062*x**2. Let b(k) = -15*k + 30. Give 5*b(o) - 24*u(o).
-3*o + 6
Let l(j) = -20*j**3 + 11*j**2 + 8*j + 4. Let o(n) = 11*n**3 - 6*n**2 - 6*n - 2. Calculate 6*l(s) + 11*o(s).
s**3 - 18*s + 2
Let i(u) = 351*u - 4. Let x(h) = -1052*h + 11. Determine 8*i(l) + 3*x(l).
-348*l + 1
Let k(o) = 49*o + 112. Let d(m) = 9*m - 1. Calculate 5*d(j) - k(j).
-4*j - 117
Let u(p) = -2*p**2 - 2*p - 7. Let r(w) = -6*w**2 + 239*w - 21. Let m(n) = -4*n**2 + 171*n - 14. Let v(o) = 7*m(o) - 5*r(o). What is -2*u(i) - 3*v(i)?
-2*i**2 - 2*i - 7
Let y(f) = -f**2 + f + 1. Let n = -832 - -845. Let v(u) be the first derivative of -3*u - 1/4*u**4 - 3/2*u**2 - n + u**3. Give v(d) + 3*y(d).
-d**3
Let l(o) = o + 3. Let b(i) = -3*i - 118. Let h(t) = t + 47. Let x(u) = 2*b(u) + 5*h(u). What is l(p) + 4*x(p)?
-3*p - 1
Let j(w) = w**3 - w. Let i = 510 + -750. Let g be ((-2)/(-6))/((-16)/i). Let y(m) = 4*m**3 - 2*m**2 - 5*m - 3. Give g*j(z) - y(z).
z**3 + 2*z**2 + 3
Let z(x) be the first derivative of -x**2 - 1. Suppose 4*y - w + 64 = 1721, 10 = -2*w. Let m = y + -406. Let a(l) = -l. Give m*a(g) - 3*z(g).
-g
Let x(k) = -12*k + 27. Let r(m) = 1 - m + 0 + 1. Suppose -z + a = 319 - 296, 2*z + 74 = -5*a. Determine z*r(n) + 2*x(n).
3*n
Let w(x) = 295*x + 40. Let m(d) = 14*d. Give -20*m(s) + w(s).
15*s + 40
Let h(z) = 6536*z**3 - 6*z + 3. Let w(u) = -1653608*u**3 + 1520*u - 760. Calculate -760*h(f) - 3*w(f).
-6536*f**3
Let v(p) = 5*p**3 - 5*p**2 + 2. Let x(z) = 6*z**3 - 6*z**2 + 2. L