 Calculate -5352*s(i) + 5*v(i).
-669*i**2
Let n(t) be the second derivative of t**4/3 + 5*t**3/6 - 2*t**2 - 110*t. Let k(w) = 4*w**2 + 4*w - 3. What is -5*k(x) + 4*n(x)?
-4*x**2 - 1
Let l(t) = -t + 12. Let a be l(5). Let b(o) = 140*o - 45*o - 2 - o**3 - 48*o - 43*o + 2*o**2. Let k(q) = 4*q**3 - 7*q**2 - 13*q + 7. Determine a*b(w) + 2*k(w).
w**3 + 2*w
Let m(b) = 4*b**3 + b**2 - 16*b + 3. Let y(a) = 2*a**3 + a**2 - 9*a + 2. Give 4*m(l) - 7*y(l).
2*l**3 - 3*l**2 - l - 2
Let n(l) = -l**3 + 3*l**2 + 10*l - 21. Let b be n(2). Let m(v) = 2*v - 1. Let q(f) = 4*f - 1. What is b*q(p) - 5*m(p)?
2*p + 2
Let o(b) = -b**2 + b - 1. Suppose 0 = -2*p - 3*i - 10, -5 + 13 = -p - 3*i. Let u(j) = -j**3 + 6*j**2 - 4*j + 5. Give p*u(h) - 10*o(h).
2*h**3 - 2*h**2 - 2*h
Let o(n) = -n**3 - 2*n**2 - n. Let d(h) = -830*h**3 - 1328*h**2 - 664*h. Calculate 5*d(l) - 3320*o(l).
-830*l**3
Suppose t = 5 - 1. Suppose -2*k + t = 2*d - 4*d, -4*k + d + 11 = 0. Suppose 2*q - 2 - 2 = 0. Let m(r) = -r - 1. Let g(b) = 2*b + 2. Determine k*m(u) + q*g(u).
u + 1
Let g(l) = -20*l**3 - 8*l**2 - 8*l + 119. Let o(r) = -7*r**3 - 3*r**2 - 3*r + 40. Determine 3*g(k) - 8*o(k).
-4*k**3 + 37
Let n(m) be the third derivative of m**5/60 - m**3/6 + 78*m**2. Let c(r) = 4*r**3 + 3*r**2 - 3. What is -c(o) + 3*n(o)?
-4*o**3
Let a be (-4)/8*-4*1. Let s(q) = 6 + a*q**2 - 2 - 11*q + 6*q + 2*q. Let x = 43 + -38. Let p(b) = 2*b**2 - 2*b + 3. Determine x*s(r) - 6*p(r).
-2*r**2 - 3*r + 2
Let m(r) = -13*r**2 - 17 + 2339*r**3 + 15*r - 6*r - 2322*r**3. Let n(u) = -5 - 3*u**2 + 5*u + 4*u**3 - 3*u + 1. Calculate 2*m(f) - 9*n(f).
-2*f**3 + f**2 + 2
Let y(t) = -t**3 + 2*t**2 - 2. Let z(m) = -12*m**3 + 27*m**2 - 27. Suppose -3*j = -7*j - 52. Let q = -14 + j. Calculate q*y(d) + 2*z(d).
3*d**3
Let f(y) = 5*y**2 - 1 - 29*y - 27*y + 58*y. Suppose -d + 47 - 36 = 0. Let o(x) = 26*x**2 + 11*x - 5. Calculate d*f(u) - 2*o(u).
3*u**2 - 1
Let x = -46 - -29. Let j(v) = -26*v**2 + 17. Let b(f) = 9*f**2 - 6. Suppose g + 5*l = -24, -g = -2*l - l - 16. Let p = g - 7. Determine p*j(y) + x*b(y).
3*y**2
Let o(g) = 5*g - 250. Let h(r) = -2*r + 124. Determine -7*h(n) - 3*o(n).
-n - 118
Let q(j) = 5 + 0 - 5 - 2*j**2. Let h(f) be the second derivative of -f**4/12 + 6*f. Suppose 0*t = t + 3. Determine t*h(l) + q(l).
l**2
Let j(m) be the third derivative of m**4/24 + 7*m**3/3 - 149*m**2. Let x(t) = t + 14. Calculate -6*j(v) + 5*x(v).
-v - 14
Let h(s) = -6*s + 152. Let o(p) = p + 1. Give h(y) + 8*o(y).
2*y + 160
Let x(w) = 236*w - 10. Let v(y) = 79*y - 3. Give -16*v(n) + 5*x(n).
-84*n - 2
Let h(s) = 4*s**3 - 5*s**3 + 6 + 5*s**2 - s**2. Suppose -66 = 58*a + 8*a. Let n(m) = -1. What is a*h(u) - 6*n(u)?
u**3 - 4*u**2
Let r(q) = -2*q**3 - 232*q**2 - 4*q + 1. Let w(s) = -6*s**3 - 464*s**2 - 9*s + 3. Give -5*r(u) + 2*w(u).
-2*u**3 + 232*u**2 + 2*u + 1
Let h(t) = 15*t - 31. Suppose l + 15 = -4*v + 3*v, -3*v = 6. Let c(i) = 7*i - 15. Give l*c(b) + 6*h(b).
-b + 9
Let k = 18 + -7. Let c(b) = -17*b**2 + 9. Let w(u) = 6*u**2 - 3. Suppose 0 = 3*t - l - 16, t - 12 = 2*t + 4*l. Calculate k*w(h) + t*c(h).
-2*h**2 + 3
Let a(i) = -189*i**2 - 5*i. Let k(d) = -188*d**2 - 4*d. Determine 4*a(s) - 5*k(s).
184*s**2
Let m(w) = w**2. Let a(n) be the third derivative of -n**5/12 - n**3/3 + 75*n**2. Suppose -4*x + 5*r = -5*x + 4, -3*r = x - 2. Determine x*a(h) - 4*m(h).
h**2 + 2
Suppose -2*q - 10 = 0, 4*q + 13 = -2*v - q. Let s(o) = -8*o**3. Let b(t) = 7*t**3. Suppose 186*u - 4*r + 21 = 191*u, 4*r = -4. Give u*s(m) + v*b(m).
2*m**3
Let t = -1043 - -1155. Let i(c) = -208*c**2. Let l(a) = -11*a**2. Calculate t*l(r) - 6*i(r).
16*r**2
Let q(o) = -o**3 - 2*o**2 - 3*o - 3. Let k(u) = -4*u**3 - 7*u**2 - 13*u - 13. What is 2*k(x) - 9*q(x)?
x**3 + 4*x**2 + x + 1
Let x(m) = -m**2 + m + 1. Suppose -4*r = 16, 11*s = 6*s - 2*r - 23. Let l(y) = 2*y**2 - 3*y + 4. What is s*x(d) - l(d)?
d**2 - 7
Suppose 4*s = 3*s - 1. Let w(z) be the first derivative of 2*z**3/3 - z**2/2 - z + 188. Let b(g) = -g**2 - 1. Calculate s*b(t) - w(t).
-t**2 + t + 2
Let j(c) = -111 + 59 + 53. Let o(l) = l + l + l - 5*l + 8. Calculate 5*j(a) - o(a).
2*a - 3
Let a(v) = -1. Let z(f) be the third derivative of -f**5/20 + f**4/24 + 2*f**3/3 - 23*f**2 - 1. What is -3*a(o) - z(o)?
3*o**2 - o - 1
Let a(c) = -6*c**2 - 58*c - 2. Let d(t) = -2*t**2 + t - 1. Determine a(s) - 2*d(s).
-2*s**2 - 60*s
Let u(t) = -t - 5. Suppose -4*w - 4*f = 28, w + 7*f + 15 = 4*f. Let p(j) = -j - 9. Give w*p(q) + 5*u(q).
-2*q + 2
Let u(o) = 2*o**2 - 2*o - 8. Let f(b) = b**2 - b - 3. Suppose 117*r + 33 = 106*r. Calculate r*u(k) + 8*f(k).
2*k**2 - 2*k
Let y(w) = 2*w - 46 + 2*w**2 + w**2 - 4*w**2 + 47. Let g(x) = 4*x**2 - 7*x**2 - 4*x + 5*x**2 - 2 + 0*x**2. Calculate -6*g(f) - 13*y(f).
f**2 - 2*f - 1
Let c(a) = 19*a - 5. Let d(h) = h**3 - 9*h**2 - 14*h + 45. Let i be d(10). Let n(s) = -10*s + 3. What is i*n(l) + 3*c(l)?
7*l
Let s(c) = -c - 3. Let i(q) = -2*q - 5. Let m be 6/4 - (-101)/(-2). Let p = -41 - m. Determine p*s(h) - 5*i(h).
2*h + 1
Suppose -5*d = -2*d - 9. Let w(g) = 2*g + d - 2*g - 2 - g. Let h(f) be the third derivative of f**4/24 - 2*f**3/3 + 7*f**2. Give -h(m) - 3*w(m).
2*m + 1
Let y(r) = -5*r**3 + 3*r**2 - 39. Let a(f) = 22*f**3 - 13*f**2 - 2*f + 155. What is 2*a(o) + 9*y(o)?
-o**3 + o**2 - 4*o - 41
Let w(k) = 7*k + 1. Let d(q) = -q + 1. Let s(t) = t - 2. Let o(a) = 2*d(a) + s(a). Let b = -201 - -190. Let m be (-24)/108 - b/9 - -4. What is m*o(c) + w(c)?
2*c + 1
Let p(n) = -6*n + 6. Let x(z) = -2*z + 6. Suppose 8 + 7 = 5*l. Suppose 17 = -5*h - l. Let s(f) = -1. Let w(d) = h*s(d) - x(d). Calculate -5*p(u) - 14*w(u).
2*u - 2
Let g(b) = 7*b**2 - 14*b - 7. Let l(w) = 11*w**2 - 12*w - 8. Calculate 5*g(i) - 4*l(i).
-9*i**2 - 22*i - 3
Suppose -118 - 32 = -30*j. Let m(d) = -3*d**3 + 5*d**2 + 7*d - 1. Let c(t) = -2*t**3 + 4*t**2 + 6*t - 1. What is j*c(f) - 4*m(f)?
2*f**3 + 2*f - 1
Let x(i) = 15*i**2 - 2*i - 1. Let r be x(0). Let q(y) = -y + 1. Let t(s) = -3*s + 13. Let v(u) = u - 6. Let m(n) = -2*t(n) - 5*v(n). Determine r*m(l) + 4*q(l).
-5*l
Let b(i) = 3*i**2 + 69*i - 6. Let t(c) = 8*c**2 + 207*c - 17. Give 11*b(l) - 4*t(l).
l**2 - 69*l + 2
Let u(p) = -p + 1. Let g(r) = 2*r - 273. What is -g(c) - 3*u(c)?
c + 270
Let r(t) = 5*t**3 + 2*t**2 + 3*t + 6. Let d(v) = 4*v**3 + 2*v**2 + 2*v + 5. Let q be 81/(-810) + 21/10. What is q*r(l) - 3*d(l)?
-2*l**3 - 2*l**2 - 3
Let s(w) = -15*w - 9. Let h(j) = 25*j + 17. Determine -6*h(p) - 11*s(p).
15*p - 3
Let z(a) be the third derivative of a**6/120 - a**5/30 + a**3/2 + a**2. Let w(r) = 1. Suppose 31 = -6*n + 277. Let c = n - 40. Determine c*z(i) - 3*w(i).
i**3 - 2*i**2
Let a = 179 + -184. Let y(d) = 18*d + 16. Let w(z) = -6*z - 5. What is a*y(i) - 16*w(i)?
6*i
Let i(z) = 2*z**2 - z - 23. Let x(s) = -2*s**2 + s + 24. Give -5*i(r) - 6*x(r).
2*r**2 - r - 29
Let w(r) = r**2 + 7*r. Let c be w(-7). Let t(b) = c + 2*b + 4*b - 5. Let k(x) be the second derivative of -x**3/2 + 3*x**2/2 + 2*x. Give -5*k(h) - 3*t(h).
-3*h
Let g(r) = -r**2 + 4*r - 5. Let i be g(9). Let t be (-58)/(-5) - i/125. Let b(x) = -3*x**3 - 12*x**2 - 12. Let s(w) = -w**2 - 1. Calculate t*s(m) - b(m).
3*m**3
Let t(w) = -4*w**3 - 33*w**2 + 6*w. Let p(b) = -b**3 + b. Calculate -6*p(x) + t(x).
2*x**3 - 33*x**2
Let z = -312 + 309. Let q(s) = -5*s**3 + s**2 + 4*s + 3. Let x(d) = 11*d**3 - 2*d**2 - 9*d - 7. Let m = -18 + 11. Give m*q(v) + z*x(v).
2*v**3 - v**2 - v
Let r be (-12)/(-54) - 2/(-18)*25. Let l(q) = -4*q - 2. Let s(f) = 5*f + 3. Let y(h) = r*l(h) + 2*s(h). Let x(v) = -2*v. Determine 3*x(m) - 2*y(m).
-2*m
Let m(c) = -c**3 + c**2 - c - 1. Let s(x) = 8*x**3 - 6*x**2 - 3*x + 6. What is -14*m(t) - 2*s(t)?
-2*t**3 - 2*t**2 + 20*t + 2
Let m(s) = 35*s - 7. Let r(q) = 17*q - 3. Suppose -u = -6*u - 65. Let h(x) = u*r(x) + 6*m(x). Let i(w) = -5*w - 1. Determine -4*h(t) + 9*i(t).
-t + 3
Let m(y) = -4*y + 6. Let o(h) = 5*h - 7. Suppose 14*l - 120 = -36. Give l*o(i) + 7*m(i).
2*i
Let x(u) = -u - 6. Let b be (-4)/(-3)*1/(4/(-30)). Let s = b + 4. Let r(t) = -5. Give s*r(p) + 5*x(p).
-5*p
Let f(s) = -s - 4. Let y be f(-3). Let x(g) = -7*g - 4. Let b(j) = 14*j + 4 - 3 - 7*j - 6*j. Give y*x(u) - 6*b(u).
u - 2
Let h(i) = -i - 1. Let l be 3/(-16) - 304/(-256). Let j(r) = 2*r - 2. Give l*j(x) - 2*h(x).
4*x
Let f(w) = -16*w**2 - 24*w. Let y(l) = -l**2 - l. S