j
Let l(m) = 10*m**3 + 3*m**2 - 5*m + 5. Suppose 16*s - 31*s - 45 = 0. Let u(o) = -19*o**3 - 5*o**2 + 9*o - 9. What is s*u(k) - 5*l(k)?
7*k**3 - 2*k + 2
Let s(o) = 5*o - 2. Let r(v) be the second derivative of v**3 - v**2 + 2*v. Suppose -3*n = 2*d + 5, -2*d = -5*n + 6 + 7. Calculate d*r(a) + 5*s(a).
a - 2
Suppose -2*k - 260 = 3*n - 6*k, 3*n + 250 = -k. Let v = -88 - n. Let a(y) = 6*y - 4. Let g(c) = 11*c - 7. Calculate v*g(b) + 7*a(b).
-2*b
Let s(f) be the third derivative of -f**6/60 + 1087*f**2. Let j(p) = 1 - p**3 + 0 - 2. Determine j(k) - s(k).
k**3 - 1
Let t = 183 + -188. Let k(f) be the second derivative of -f**4/12 + 2*f**3/3 + 3*f**2/2 + f. Let u(o) = -o - 1. Give t*u(c) - k(c).
c**2 + c + 2
Let m(w) = -1. Let u(s) be the second derivative of s**4/4 - s**3/6 + s**2 + 3*s + 1. Calculate -m(j) - u(j).
-3*j**2 + j - 1
Let p be ((-12)/24)/(1/(-8)). Let v(k) = 6*k - p + 2*k - 12*k + 3*k. Let b(a) = 1. What is 12*b(f) + 3*v(f)?
-3*f
Let f(h) = -3*h + 25. Let m(v) = -3*v + 24. Determine -5*f(b) + 4*m(b).
3*b - 29
Let t(v) = -17*v**2 + 13*v - 13. Let y(q) = 4*q**2 - 3*q + 3. Suppose 0 = -0*n + 3*n - 18. Suppose -195 = -12*l + 117. What is l*y(u) + n*t(u)?
2*u**2
Let y(h) = -5*h - 3. Let t(w) = 10*w + 6. Let c(i) = 2*t(i) + 5*y(i). Let p(u) = u**2 + 21*u - 43. Let x be p(2). Let f(r) = -r - 1. What is x*f(m) - c(m)?
2*m
Let d(o) be the third derivative of o**6/60 - o**4/24 + 19*o**2 - 2*o. Let t(s) = s**3 - s. Let c = 3 + -4. Give c*d(l) + 4*t(l).
2*l**3 - 3*l
Let g(o) = 9*o - 6. Let n(p) = 12*p - 7. What is 6*g(l) - 5*n(l)?
-6*l - 1
Let m(i) = i**3 - 4*i**2 - 5. Let g be m(4). Let k(o) = -o + 2. Let w(c) = c - 3. Calculate g*k(b) - 4*w(b).
b + 2
Let h(s) = 7*s**2 + 5*s + 3. Suppose -5*r + r = -24. Let z(a) = -7*a + 42 - 16 + a**2 - 25. Let k be z(r). Let i(f) = 3*f**2 + 2*f + 1. Give k*i(l) + 2*h(l).
-l**2 + 1
Let m(w) = w**3 + 6*w**2 - 20*w + 1. Let h(o) = 2*o**3 + 11*o**2 - 41*o + 2. Give -6*h(u) + 11*m(u).
-u**3 + 26*u - 1
Let l(m) = -34*m**2 + m + 2. Let i(g) = -g - 1. Give -4*i(z) - 2*l(z).
68*z**2 + 2*z
Let f(s) = -14*s**3 - s**2 - 4*s + 7. Let u(m) = -30*m**3 - 3*m**2 - 7*m + 15. What is 13*f(p) - 6*u(p)?
-2*p**3 + 5*p**2 - 10*p + 1
Let z(o) be the third derivative of -o**4/8 - 5*o**3/6 + o**2. Let f(y) = -y - 1. Suppose 138 = -9*v + 147. Calculate v*z(s) - 6*f(s).
3*s + 1
Let u(o) = 2*o**3 - 5*o**2 - 5. Let p(a) = -15*a**2 - a + 3*a**2 + 9 + 0*a + 2*a**3 - 13 + 8*a**2. Calculate -5*p(c) + 4*u(c).
-2*c**3 + 5*c
Let y(q) be the first derivative of -2*q**3 - 5*q**2/2 + 9*q - 13. Let g(p) be the first derivative of -p**3 - 3*p**2/2 + 5*p - 22. What is 5*g(d) - 3*y(d)?
3*d**2 - 2
Let r(h) = h - 2*h**2 + 3*h**2 + 0*h. Suppose -13*q + 45 = 2*q. Let f(m) = -1 - 2*m + 6 - 4*m**2 + q*m**2 - 4. What is -2*f(v) - 3*r(v)?
-v**2 + v - 2
Let f(i) = -i**3 + 6*i**3 + 3*i - 1 + 3*i - 6. Let d(p) = -4*p**3 - 5*p + 6. Suppose 318*h - 305*h = 65. Let s be 4*2*15/20. Calculate h*f(j) + s*d(j).
j**3 + 1
Let l(v) = -v**3 - v**2 + 1. Let n(f) = 4*f**3 + 9*f**2 - 5*f - 6. Calculate 5*l(i) + n(i).
-i**3 + 4*i**2 - 5*i - 1
Let j(p) = 14*p + 2. Let o = 671 + -660. Let g(c) = 5*c + 1. Calculate o*g(n) - 4*j(n).
-n + 3
Let n(v) = 6*v + 12. Let f(y) = 24*y + 51. Let q(d) = -2*f(d) + 9*n(d). Let u(i) = -18*i - 17. Give -11*q(j) - 4*u(j).
6*j + 2
Let a(b) = -5*b**2 - 73. Let q(d) = -d**2 - 14. What is 2*a(s) - 11*q(s)?
s**2 + 8
Let t(x) = -4*x**2 + 2*x - 7. Let m(g) = -8*g**2 + 5*g - 15. Give -4*m(y) + 9*t(y).
-4*y**2 - 2*y - 3
Let o(n) = -6*n**2 - 5*n + 6. Let g(x) = -x**2 - 35*x - 90. Let q be g(-32). Let u(l) = 12*l**2 + 9*l - 11. Calculate q*u(h) + 11*o(h).
6*h**2 - h
Let o(a) = 3*a**2 + 6*a + 1. Suppose 3*u - 15*u + 204 = 0. Let c(m) = -8*m**2 - 17*m - 2. What is u*o(z) + 6*c(z)?
3*z**2 + 5
Let a(m) = -6*m - 4. Let j(y) = 2 + y + 1 - 9 - 2. Let u(q) = q - 1. Let l(s) = j(s) - 5*u(s). What is 5*a(w) - 7*l(w)?
-2*w + 1
Let w(z) = 2*z**2 - 3*z - 11. Let c(q) = 3*q**2 - 3*q - 13. Let k(o) = -4*c(o) + 5*w(o). Let u(h) = -3*h**2 - 7*h - 7. Calculate -7*k(s) + 3*u(s).
5*s**2
Let k(u) = 2*u**3 - 40*u**2 + 7*u - 2. Let d(m) = 2*m**3 - 38*m**2 + 6*m - 2. Determine -7*d(f) + 6*k(f).
-2*f**3 + 26*f**2 + 2
Let b(x) be the third derivative of -49*x**5/30 + 7*x**4/3 - 191*x**2. Let d(i) = -9*i**2 + 5*i. Calculate -5*b(r) + 56*d(r).
-14*r**2
Let i(y) = -y**2 - 3*y - 7. Let u be (-23)/((-345)/150) - 5*1. Let g(d) = d + 3. Give u*g(o) + 2*i(o).
-2*o**2 - o + 1
Let a(p) = -p**2 + p - 1. Let b(z) = -4*z**2 + 2*z - 14. Let x(w) = w**3 + w + 2. Let t(d) = b(d) + 2*x(d). Calculate 4*a(n) - t(n).
-2*n**3 + 6
Let n be 282/(-54) + (-6)/(-27). Let o(w) = 10*w + 10. Let l be 18/6 - (2 - 1). Let s(u) = -u + 5 + 6*u + l + 2*u. What is n*o(a) + 7*s(a)?
-a - 1
Let v(j) = 9*j**2 + 5*j + 1. Let i(g) = -g**3 - 18*g**2 - 11*g - 3. Give -2*i(q) - 5*v(q).
2*q**3 - 9*q**2 - 3*q + 1
Let j(m) = -2539*m + 0 + 0 + 2538*m. Let y(d) = -2*d. Calculate -11*j(h) + 6*y(h).
-h
Let w(d) = d**2 + 1 - 26 + 26. Let k(c) = 5*c**2 + 7. Calculate -3*k(j) + 21*w(j).
6*j**2
Let m(g) = -32*g - 18. Let f(d) = 66*d + 40. Determine -4*f(i) - 9*m(i).
24*i + 2
Let n(p) = -4 + 5 + p + 0 + 0. Let y(z) = -17*z + 5. Let s(i) = 42*i - 10. Let m(b) = 6*s(b) + 14*y(b). Calculate -m(g) + 12*n(g).
-2*g + 2
Let a(i) = 3*i - 2. Let m = -21 - -16. Let b(s) = -7*s - 4. Let h(t) = t + 1. Suppose -3*c - 2 = -5. Let p(x) = c*b(x) + 5*h(x). Give m*a(u) - 8*p(u).
u + 2
Let u(v) = v + 1. Let p(s) = -s - 2. Let n(k) = -2*k - 8. Let g be n(-4). Suppose 4 = 2*z - g. Suppose 0*x - z = -x. Determine x*p(b) + 3*u(b).
b - 1
Let i(w) = 135*w**2 + 5*w + 7. Let p(q) = -137*q**2 - 6*q - 9. Give -5*i(d) - 4*p(d).
-127*d**2 - d + 1
Let f(g) = -g + 3. Let m(y) = 7*y - 246. Give 6*f(q) + m(q).
q - 228
Let w(s) = -4*s**2 - 3*s. Let t(k) = -k**2 - 17*k - 5. Let d be t(-16). Suppose -2*l = 5*u - d, -4*u + 5 = -5*u + 2*l. Let y(r) = -r. Give u*w(v) - 3*y(v).
-4*v**2
Let z(j) = -2*j - 2. Let r(d) = -d - 1. Let k(g) = -9*r(g) + 4*z(g). Let t(b) = 7*b + 7. Determine -5*k(o) + t(o).
2*o + 2
Let t(x) = 355*x**3 + 4*x**2 + 9. Let d(o) = -709*o**3 - 7*o**2 - 15. Calculate -3*d(r) - 5*t(r).
352*r**3 + r**2
Let m(i) = 185 - 185 + 10*i. Let k(g) = 3*g. Let l(a) = 7*k(a) - 2*m(a). Let v(h) = 7*h + 2. Determine -4*l(x) + v(x).
3*x + 2
Let v(f) = 6*f**2 - 7*f - 22. Let d be 15/(-75) + 34/(-5). Let m(r) = 4*r**2 - 5*r - 15. Determine d*m(y) + 5*v(y).
2*y**2 - 5
Let w(n) be the first derivative of -n**2/2 - n - 230. Let v(p) = -4*p - 5. Determine v(j) - 2*w(j).
-2*j - 3
Let f(q) = 10*q**2 + q. Let k(o) = -52*o**2 - 6*o. Determine -14*f(j) - 3*k(j).
16*j**2 + 4*j
Let q(u) = 6*u - 16. Let b(w) be the first derivative of -w**2/2 + 3*w - 323. Calculate -33*b(x) - 6*q(x).
-3*x - 3
Let b(v) = 4 - v**2 - 4*v + 0*v**2 - 8*v**2 - 15*v**3 + 8*v**2 + 5*v**2. Let m(d) = 15*d**3 - 3*d**2 + 3*d - 3. What is -3*b(z) - 4*m(z)?
-15*z**3
Let w(f) = 12*f**2 + 17*f + 17. Let h(r) be the first derivative of -2*r**3/3 - 3*r**2/2 - 3*r - 6. Suppose -z = z + 12. What is z*w(t) - 34*h(t)?
-4*t**2
Let w(j) = 17*j**2 + 9*j - 15. Let n(u) = 26*u - 54*u + 24*u + 7 - 8*u**2. Calculate -13*n(r) - 6*w(r).
2*r**2 - 2*r - 1
Let t(l) = 9*l**3 + 33*l**2 + 3*l - 8. Let z(n) = 3*n**3 + 11*n**2 + n - 3. Give -3*t(c) + 8*z(c).
-3*c**3 - 11*c**2 - c
Let j(o) = 2*o + 23. Let n be j(-12). Let l(a) = -18*a**2 - 11*a**2 - 3 + 2 + 28*a**2. Let u(y) = 2*y**3 - 6*y**2 - 5. Determine n*u(m) + 4*l(m).
-2*m**3 + 2*m**2 + 1
Let a(q) = q. Let d(o) = 9*o. Let j = 142 + -138. What is j*d(f) - 42*a(f)?
-6*f
Let b(c) = 11*c**2 + 7*c + 1. Let t(m) = -735 + 1476 + 5*m**2 + 4*m - 740. Calculate 3*b(u) - 5*t(u).
8*u**2 + u - 2
Let k(i) = 3*i - 4. Let g(c) = -3*c - 2. Let h(t) = -t - 3. Let f(m) = -2*g(m) + 3*h(m). Give -5*f(r) + 6*k(r).
3*r + 1
Let i(b) be the first derivative of -7*b**4/4 - b**3 + 3*b**2/2 - 5*b - 95. Let f(j) = -4*j**3 - 2*j**2 + 2*j - 3. What is -5*f(w) + 3*i(w)?
-w**3 + w**2 - w
Let t(r) = r + 6. Let h(a) = 0 - 1 + 1 + a + 2 + 3. Calculate 6*h(f) - 5*t(f).
f
Let o be -15*(-1)/5 + -8. Let q(n) = 4*n**2 + 3*n. Let p(w) = -9*w**2 - 5*w. What is o*q(v) - 3*p(v)?
7*v**2
Let a(h) = 7*h - 1. Let n(i) = -i**3 - 5*i**2 - 6. Let v be n(-5). Let y(l) be the first derivative of 15/2*l**2 - 2*l - 1. Calculate v*y(d) + 13*a(d).