t t(r) be the third derivative of r**6/60 - r**4/8 - r**2. Let k(g) = 2*g**3 - 2*g. Give a*k(h) - 4*t(h).
4*h**3
Let o(u) = -u - 3*u**2 - u - 7 + 2 - 2*u. Suppose -i + 13 = 17. Let k(y) = -3*y**2 - 3*y - 4. What is i*k(f) + 3*o(f)?
3*f**2 + 1
Let f(d) = -2*d - 2. Let y(w) be the first derivative of w**4/4 + w**2/2 + w + 277. What is 2*f(h) + 3*y(h)?
3*h**3 - h - 1
Let o(k) = 6*k**3 + k**2 + 4*k - 2. Let x(q) = 5*q**3 + q**2 + 3*q - 3. What is 6*o(s) - 7*x(s)?
s**3 - s**2 + 3*s + 9
Let w(t) be the first derivative of -2*t**3 + 7*t**2/2 + 5*t + 1. Suppose 0 = 5*f - 5. Let r(o) = -1 + 2*o**2 - o + 0 - o**2. Give f*w(s) + 5*r(s).
-s**2 + 2*s
Suppose -17*c = -21*c - 4. Let o(i) = 0 - 6 + 6 + 1. Let l(k) = -2*k**2 - 4. Determine c*l(w) - 3*o(w).
2*w**2 + 1
Let x(r) = -r**3 + 5*r**2 + 10*r - 7. Let b(w) = -w**3 - 9*w**2 + 51*w - 9. Let h be b(-13). Let c(i) = -i**3 + 4*i**2 + 9*i - 6. Determine h*x(f) - 5*c(f).
f**3 - 5*f + 2
Let a(m) = -3*m - 9. Let c(l) = -l + 3. Let r(b) = a(b) + 3*c(b). Let j(z) = 85*z. Give -4*j(o) - 55*r(o).
-10*o
Let v(w) = 71*w**2 - 9*w - 6. Let p(d) = -70*d**2 + 8*d + 5. Calculate 7*p(m) + 6*v(m).
-64*m**2 + 2*m - 1
Let w(g) = -g**2 + 3*g - 2. Let i(a) be the first derivative of -a + 1/2*a**2 - 1/3*a**3 + 12. Calculate 3*i(b) - w(b).
-2*b**2 - 1
Let k(h) = 3*h + 21. Let o(p) = -12*p - 85. Give -9*k(c) - 2*o(c).
-3*c - 19
Let u(m) = -m - 5*m**2 + 4 - 4 - 3. Let p(d) be the third derivative of d**5/10 + d**4/24 + 2*d**3/3 + d**2. Let l = -218 - -222. Determine l*u(f) + 3*p(f).
-2*f**2 - f
Let h(v) be the first derivative of 5*v**4/4 - 4*v**3/3 + v**2 - v - 130. Let o(l) = 4*l**3 - 3*l**2 + l - 1. Determine 3*h(f) - 4*o(f).
-f**3 + 2*f + 1
Let f(s) = -s**3 - 2*s**2 + 110*s + 2. Let y(n) = -2*n**3 - 5*n**2 + 221*n + 5. Determine 5*f(u) - 2*y(u).
-u**3 + 108*u
Let b(a) = -1. Let c(l) = -2*l - 9. Let z be (-18*(-4)/14)/(162/(-756)). What is z*b(y) + 3*c(y)?
-6*y - 3
Let i(w) = -210*w + 12. Let y(h) = 319*h - 18. Determine -8*i(d) - 5*y(d).
85*d - 6
Suppose -6 = 5*w - 5*r - 11, 0 = -r + 3. Let x(s) = 3*s**3 - 4*s. Let b(n) = -6*n**3 + 9*n. Determine w*b(v) + 9*x(v).
3*v**3
Let z(s) = -12 - 28*s**2 + 17 + 4*s**3 - 33. Let m(p) = -p**2 - 1. Give -56*m(o) + 2*z(o).
8*o**3
Let u(r) = -2*r + 6. Let i(z) = -6*z + 3. Let o(d) = i(d) - u(d). Let y(m) = -28*m - 22. Calculate 44*o(f) - 6*y(f).
-8*f
Let o(l) = -7*l. Let y(n) be the first derivative of -18*n**2 - 22. What is -11*o(v) + 2*y(v)?
5*v
Let h be ((-25)/2)/5*-2. Let k = h + 0. Suppose -26 = 2*w - k*r - 102, 2*r = 2*w - 70. Let g(o) = 9*o. Let j(l) = -l. Give w*j(m) + 4*g(m).
3*m
Let v(h) = h**3 - h + 1. Let f(g) = 12*g**3 - 2*g**2 - 10*g + 8. What is -f(i) + 10*v(i)?
-2*i**3 + 2*i**2 + 2
Let x(z) = 12*z**2 - 9*z. Let m(d) = -d**2 - d + 9. Let u be m(0). Let c(l) = -3*l - 58. Let g be c(-20). Let j(f) = -3*f**2 + 2*f. Give g*x(v) + u*j(v).
-3*v**2
Let k(x) = x**2 - x - 1. Let t(u) = -5*u**2 - 2*u - 4. Determine 4*k(j) - t(j).
9*j**2 - 2*j
Let v(h) = -2*h**2 - 2*h - 2. Let p(r) = -r**2 - r - 1. Let m(s) = 3*p(s) - v(s). Let z(o) = -o**3 + 7*o**2 + 7*o + 7. Determine -42*m(l) - 6*z(l).
6*l**3
Let g(h) = -4*h**2 + 6. Let q(t) = -9*t**2 + 13. Let p = -82 + 95. What is p*g(y) - 6*q(y)?
2*y**2
Let n(t) = -3*t - 5 + 2 + 6. Let m = -217 + 234. Let d(b) = b - 1. Determine m*d(s) + 6*n(s).
-s + 1
Let v(m) = -16*m**2 - 47*m - 5. Let u(k) = 14*k**2 + 45*k + 4. Give 7*u(i) + 6*v(i).
2*i**2 + 33*i - 2
Let o(h) = -3*h**3 + h**2 - 6*h. Let c(t) = -t**3 + t. What is -c(u) + o(u)?
-2*u**3 + u**2 - 7*u
Let x(s) = -18*s**2 - 50*s - 96. Let t(u) = 2*u**2 + 5*u + 1. Give -10*t(r) - x(r).
-2*r**2 + 86
Let w(m) = m - 1. Let y(n) be the third derivative of n**4/12 + n**3/6 + 33*n**2. Calculate -2*w(x) - y(x).
-4*x + 1
Let s(x) = -379*x - 2. Let f(y) = -41318*y - 219. Give 4*f(p) - 438*s(p).
730*p
Let j(x) = x**3 - x + 1. Let z(o) be the first derivative of o**2 - 3*o - 4 + 2/3*o**3. Let s be (-2 + 0)/(-4)*-2. Determine s*z(r) - 2*j(r).
-2*r**3 - 2*r**2 + 1
Let i(y) = -4*y**2 + 6*y - 4. Let l(n) = -2*n - 1. Let v(s) = -s. Let q(w) = -l(w) + 3*v(w). Calculate -i(x) - 6*q(x).
4*x**2 - 2
Let q(n) = -n**3 - n**2 + n - 1. Let s(l) = 14*l - 2. Let w be s(0). Let v(p) = 3*p**3 + 2*p**2 + 2*p + 2. Calculate w*q(o) - v(o).
-o**3 - 4*o
Let a(u) = -u**2 - u + 1. Suppose -14*t + 17*t = -3. Let f(p) = p. Calculate t*f(c) + 2*a(c).
-2*c**2 - 3*c + 2
Let a(d) = 480*d**2 - 14. Let c(m) = -320*m**2 + 10. Give 5*a(n) + 7*c(n).
160*n**2
Suppose -121*m + 117*m - 8 = 0. Let o be m/4*-8 - 9. Let v(k) = k**3 - 5*k**2 - 5*k - 2. Let d(c) = -3*c**2 - 3*c - 1. Give o*d(z) + 3*v(z).
3*z**3 - 1
Let l(j) = -j - 1. Let f(m) be the second derivative of m**4/12 + m**2/2 + m - 1. Give 2*f(y) - l(y).
2*y**2 + y + 3
Let x(b) = -2*b**3 - 2*b**2 + b + 1. Let j(c) = -12*c**3 - 10*c**2 + 5*c + 6. Give -6*j(l) + 30*x(l).
12*l**3 - 6
Let p(m) = -4*m**2 - 4*m + 2. Let z(g) = -g**3 - g**2 + 4. Suppose -x + x = -4*x. Let i be z(x). Let u(k) = 5*k**2 + 5*k - 3. Give i*p(r) + 3*u(r).
-r**2 - r - 1
Let d(a) = -7*a**3 - 5*a**2 - a + 9. Let m(h) = -5 + h + 6*h**3 + 4*h**3 + 3*h**2 - 6*h**3. Let t = 67 + -65. Let u be 9/t*2/3. Give u*d(q) + 5*m(q).
-q**3 + 2*q + 2
Let k(s) = -s - 1. Let f(x) = x**2 - 2*x + 176. Calculate -f(h) + 2*k(h).
-h**2 - 178
Suppose 3*m - 192 = -2*l + 60, -4*m = -3*l + 361. Let o(w) = l*w - 4 - 265*w + 134*w - 2. Let f(t) = 15*t + 11. Give -4*f(c) - 7*o(c).
-4*c - 2
Let d(w) = -11*w**2 - 5. Let o(i) = 1. Let m(g) = -d(g) + o(g). Let r(z) = 120*z**2 + 65. Calculate 65*m(x) - 6*r(x).
-5*x**2
Let o(l) = 475*l - 6. Let d(k) = 158*k - 2. Give 8*d(m) - 3*o(m).
-161*m + 2
Let p(z) = 5*z**3 - 8*z + 2. Let k(m) = 14*m**3 - 23*m + 6. Calculate -4*k(t) + 11*p(t).
-t**3 + 4*t - 2
Let c(f) = -2*f + 3. Suppose -303 = 17*n - 235. Let m(i) = 0*i + 3*i - 6 + i. Give n*m(l) - 7*c(l).
-2*l + 3
Let p = -9 - -3. Let c(v) = v + 7 - 7. Let t(g) = 2*g**2 - 6*g + 3. Suppose 4*f = -0*f - 4. Calculate f*t(o) + p*c(o).
-2*o**2 - 3
Let b(q) = 3*q + 31. Let v(y) = 4*y + 61. What is -5*b(o) + 3*v(o)?
-3*o + 28
Let j(i) = i. Let s = -2299 - -2296. Let g(o) be the second derivative of 2*o**3/3 + o**2/2 + o. Give s*j(p) + g(p).
p + 1
Let s(m) = -12*m**2 + 4*m - 1. Let d(r) = r**3 + 3*r**2 - 5*r - 8. Let y be d(-4). Let z(c) = -35*c**2 + 11*c - 3. What is y*z(o) + 11*s(o)?
8*o**2 + 1
Let b = -31 + 25. Suppose -87 = -5*j + 23. Let u(p) = 2*p**2 + 3*p - 3. Let w(z) = 4*z**2 - 11 - 3*z**2 + 11*z + 6*z**2. Determine b*w(h) + j*u(h).
2*h**2
Let d(w) = 1193769 - 2*w - 1193770 + 3*w. Let b(g) = 4*g - 5. Let f = -4 + 3. Determine f*b(h) + 6*d(h).
2*h - 1
Let o(s) = 12*s**2 - 2*s + 6. Let t(v) = -11*v**2 + 72*v - 2. Let w(a) = 5*a**2 - 32*a + 1. Let h(p) = -4*t(p) - 9*w(p). Calculate 6*h(f) + o(f).
6*f**2 - 2*f
Let f(h) = -8*h**3 - 9*h**2 + 7*h + 7. Let n(v) = -7*v**3 - 10*v**2 + 6*v + 6. Determine 6*f(t) - 7*n(t).
t**3 + 16*t**2
Let a(h) = -933*h**2 + 473*h**2 + 11*h + 471*h**2 + 6 + 5. Let l(y) = 5*y**2 + 5*y + 5. Suppose g + 3*u = 6, 4*g - u + 21 = 2*u. Determine g*a(o) + 7*l(o).
2*o**2 + 2*o + 2
Let g(y) be the third derivative of -y**3/6 - 90*y**2. Let t(m) = 2*m + 11. Calculate 4*g(i) + t(i).
2*i + 7
Let b(q) = 3*q**2 + 44*q + 4. Let a(y) = -6*y**2 - 87*y - 9. Determine -4*a(o) - 9*b(o).
-3*o**2 - 48*o
Let f(s) = -8*s + 141. Let d(j) = j + 1. Determine 6*d(x) + f(x).
-2*x + 147
Let z(v) be the third derivative of -v**5/30 + v**4/12 - v**2 - 43*v. Let j(c) = 1. Determine j(y) - z(y).
2*y**2 - 2*y + 1
Let w(v) = -3*v**2 - 3*v - 1. Let k(u) be the second derivative of -u**4/12 + u**3/6 + 229*u. Calculate 3*k(o) + w(o).
-6*o**2 - 1
Let v(j) = -66*j**3 - 3*j**2 - j - 3. Let y(c) = -131*c**3 - 5*c**2 - 3*c - 5. Calculate 5*v(q) - 3*y(q).
63*q**3 + 4*q
Let c(v) = -3*v + 3. Let m(s) = 1440*s - 1890. What is 1890*c(y) + 3*m(y)?
-1350*y
Let n(b) = -b. Let i(k) = -87*k**2 - 262*k - 4. Let a be i(-3). Let x(f) = -4*f + 3. Give a*x(z) + 5*n(z).
-z - 3
Let w(m) = -4*m**2 - 19*m - 29. Let z(a) = -2*a**2 - 9*a - 14. Give 6*w(b) - 13*z(b).
2*b**2 + 3*b + 8
Let o(l) = -1. Let s = -53 - -57. Let b(x) = 2*x - 5 - x - s + 5. Give 2*b(p) - 6*o(p).
2*p - 2
Let k(p) = p. Suppose -3*c = -8*c + 20. Let q(f) = -f**2 - 4*f. Suppose 2*y - 5*y = -3. What is c*k(i) + y*q(i)?
-i**2
Let i(p) = -4*p**