 + 2
Let a(x) be the third derivative of x**4/12 - 10*x**2. Let s(k) = -k. Let c(o) = -6*o. Let p(h) = 4*c(h) - 27*s(h). Let f = 10 - 6. What is f*p(d) - 5*a(d)?
2*d
Let j(k) = -56*k - 360 + 353 + 87*k. Let p(b) = 16*b - 4. Determine -4*j(g) + 7*p(g).
-12*g
Let l(x) = 2*x**2 + 11*x + 1. Let h(c) = c**2 + c. Determine 22*h(p) - 2*l(p).
18*p**2 - 2
Let a(o) = 85*o**2 - 2*o. Let h(b) = 86*b**2 - 3*b. Give 3*a(s) - 2*h(s).
83*s**2
Let s(f) be the second derivative of -f**2/2 + 2*f. Let k be (-6)/(-4) - (-1221)/(-22). Let n = -53 - k. Let j(h) = h**2 + 2*h + 6. What is n*j(r) + 4*s(r)?
r**2 + 2*r + 2
Let f(o) = 11*o + 15. Let u(x) = 2. Give -f(b) + 4*u(b).
-11*b - 7
Let k(n) = 2*n + 2 + 2 - 3*n + 1. Let h(i) = -2*i - 5. Let o(q) = -q - 1. Let f(r) = h(r) - 3*o(r). Suppose -16*w + 14 = -9*w. What is w*k(u) + 5*f(u)?
3*u
Let i(w) = 1. Suppose -3 - 6 = -3*u. Let q(j) = -3*j - 5 + 6*j - 4*j - 2*j. Determine u*i(f) + q(f).
-3*f - 2
Let t(i) = -9*i**3 + 2*i + 2. Let k be 4 + -9 - (-11)/((-11)/2). Let q(r) = -27*r**3 + 7*r + 7. Determine k*t(f) + 2*q(f).
9*f**3
Let o(q) = 7*q + 2. Let a(m) = 3*m + 1. Calculate -5*a(l) + 2*o(l).
-l - 1
Let d(l) = -4*l + 15 - 5*l + 2*l + l - 18. Let j(p) = -p - 1. Let h = 3 - -5. Let g be (-3)/(-3 - h/(-2)). Calculate g*j(v) + d(v).
-3*v
Let l(r) = -4*r - 3. Let f(x) = 5*x + 4. Let o = -80 - -93. Suppose 77 = o*m - 1. Give m*l(v) + 5*f(v).
v + 2
Let r(m) = 3*m + 8. Let z(y) = -1 - y + 0*y - 3. Let k(l) = -3*r(l) - 5*z(l). Suppose 4 = 2*j - 4*j. Let g(h) = -h**2 + 21*h + 21. Calculate j*g(v) - 11*k(v).
2*v**2 + 2*v + 2
Let b(p) = -33*p**3 - 21*p - 9. Let z(l) = 18*l**3 + 11*l + 5. What is -5*b(g) - 9*z(g)?
3*g**3 + 6*g
Let i(v) = -v**2 - 2*v. Let k(f) = 4*f**2 - 40*f. Give -i(h) - k(h).
-3*h**2 + 42*h
Let u(j) = -2*j**2 - 7*j. Let h = 162 - 157. Let w(v) be the third derivative of v**5/60 + v**4/8 + v**2. What is h*w(y) + 2*u(y)?
y**2 + y
Let a(m) = m**2 - 1. Let x(f) be the second derivative of -f**4/12 + 3*f**2/2 + f. Suppose 21 = -16*h - 11. Calculate h*x(z) - 4*a(z).
-2*z**2 - 2
Let y(p) = -5*p. Let q(o) = -22*o**2 + 6*o. Calculate -q(f) - 3*y(f).
22*f**2 + 9*f
Let s(n) = 2*n**2 - n. Let o(z) = -z**2. Let m = -1027 - -1029. Determine m*s(t) + 7*o(t).
-3*t**2 - 2*t
Let f(u) = -u**3 + 3*u. Let c(h) = 4*h - 1. Let z be -2*(-35)/20 + (-2)/4. What is z*f(j) - 2*c(j)?
-3*j**3 + j + 2
Let s(b) be the first derivative of b**3/3 + b**2/2 + b + 119. Let l(f) = f**3 - 5*f**2 - 3*f - 4. Calculate -l(o) - 4*s(o).
-o**3 + o**2 - o
Let f(y) = -y + 1. Let n(u) be the third derivative of -1/6*u**4 + 7/6*u**3 + 0*u + 12*u**2 + 0. What is -5*f(s) + n(s)?
s + 2
Let f(m) = 18*m**2 + 6*m + 10. Let b(w) = -6*w**2 - 2*w - 3. Calculate -20*b(h) - 6*f(h).
12*h**2 + 4*h
Let x(b) = -b - 5. Let g be 1/(0 + (-2)/(-10)). Let n(o) be the third derivative of o**3 + 0*o - 14*o**2 + 0 + 1/24*o**4. Calculate g*x(f) + 4*n(f).
-f - 1
Let n(r) = -r**2 - 6*r - 7. Let g(x) = x**3 + x + 1. Determine -14*g(o) - 2*n(o).
-14*o**3 + 2*o**2 - 2*o
Let y(b) = -4*b - 13. Let r = 3 - -2. Let z(i) = 46*i + 3*i - 47*i + 6. Calculate r*z(v) + 2*y(v).
2*v + 4
Let s(t) = 6*t**2 + 14*t**2 - 14*t + 29*t - 3*t + 8. Let u(l) = l. Let x(m) = -s(m) - 5*u(m). Let n(r) = -7*r**2 - 6*r - 3. Give 17*n(p) - 6*x(p).
p**2 - 3
Let g = -13 + 21. Let a be (-63)/(-12) + (-2)/g. Let m be (-2)/a - (-110)/25. Let o(k) = -k**2 + 4*k - 2. Let c(n) = n**2 - 3*n + 1. Determine m*c(j) + 3*o(j).
j**2 - 2
Let f(n) = n**2 - 1. Let z(k) = 5 + 136*k**2 + 136*k**2 - 279*k**2. Let x(v) = -v**2 + 4. Let u be x(-3). Give u*f(d) - z(d).
2*d**2
Let x(p) = 4*p - 12. Let y(m) = m**3 - 16*m**2 + 16*m - 3. Let o be y(15). Let z(i) = -1. Determine o*z(d) - x(d).
-4*d
Suppose -8*u - 28 = -4. Let v(t) = t**2 + t. Let a(x) = 64 + 2*x**2 - 137 + 73 + 4*x. Calculate u*v(k) + a(k).
-k**2 + k
Let u(t) = 3*t**2 + 219*t + 5. Let z(a) = -a**2 - 73*a - 2. Determine 3*u(d) + 8*z(d).
d**2 + 73*d - 1
Let l(s) = -4*s**3 - 2*s**2 + 5. Let c(a) = -2 - 2 - a**2 + 3*a**2 + 3*a**3. Let i(d) = -d - 1 + 5*d - 6*d. Let o be i(1). Give o*c(b) - 2*l(b).
-b**3 - 2*b**2 + 2
Let o(t) = 1. Let a(f) = 63*f**3 + 4. Calculate a(r) - 3*o(r).
63*r**3 + 1
Let q(r) = r**2 - 2*r + 3. Let p(j) = 11*j**2 - 5*j + 1. Let u(z) = -29*z**2 + 13*z - 3. Let d(g) = 8*p(g) + 3*u(g). What is -2*d(w) - q(w)?
-3*w**2 + 4*w - 1
Let u(t) = -2*t**2 - 7*t. Let w(r) = 14*r**2 - 5*r + 0*r - 30*r**2 - 3*r + 13*r**2. Calculate -6*u(s) + 5*w(s).
-3*s**2 + 2*s
Let c(d) = 17*d - 284. Let v(w) = 3*w - 57. Calculate -2*c(u) + 11*v(u).
-u - 59
Let a(u) be the second derivative of 1/6*u**3 + 0 + 1/2*u**2 - 9*u. Let r(d) = -2. Determine a(j) - r(j).
j + 3
Let k(o) = -11*o**3 + 85*o**2 + 3*o + 4. Let u(j) = -25*j**3 + 170*j**2 + 7*j + 9. Give 7*k(w) - 3*u(w).
-2*w**3 + 85*w**2 + 1
Let h(y) = -13*y**2 - 14*y - 10. Let w(n) = -6*n**2 - 6*n - 5. Determine -2*h(o) + 5*w(o).
-4*o**2 - 2*o - 5
Let q(c) = -6*c. Let b(m) = -77*m - 4. Calculate -b(d) + 2*q(d).
65*d + 4
Let w(y) = -7*y**2 + 62*y - 9. Let p(t) = -3*t**2 + 30*t - 4. What is -9*p(m) + 4*w(m)?
-m**2 - 22*m
Let w(k) = k**2 + 2. Let o(n) = -64*n**2 - n - 14. What is -2*o(i) - 14*w(i)?
114*i**2 + 2*i
Let w(a) = -a**3 + 4*a**2 - 8*a + 2. Let k(z) = 6*z**3 - 21*z**2 + 41*z - 11. Let r be (32/(-48))/(16/(-6) - -3). What is r*k(b) - 11*w(b)?
-b**3 - 2*b**2 + 6*b
Let b(m) = 2*m. Let u be 2 + (-12)/2*-4. Let o(z) = -9*z. Let n(p) = -p**2 + p + 6. Let q = -20 - -20. Let d be n(q). Calculate d*o(v) + u*b(v).
-2*v
Let v(k) = k**3 - 27*k**2 + 6*k - 6. Let z(m) = 2*m**3 - m**2 - m + 1. Give v(x) + 6*z(x).
13*x**3 - 33*x**2
Let y(v) = -46*v**3 - 12*v**2 + 5*v - 6. Let o(l) = 2*l**3 - 2*l**2 + l - 1. What is 5*o(g) - y(g)?
56*g**3 + 2*g**2 + 1
Let c(x) = -5*x + 2. Let b(o) be the first derivative of -11/2*o**2 + 23 + 4*o. Give 4*b(m) - 9*c(m).
m - 2
Let g(o) = 2*o**2 + o - 2. Let t(h) = 3*h**3 - 6*h**2 - 3*h + 20. Give -3*g(s) - t(s).
-3*s**3 - 14
Let x(h) = 2*h**2 + h - 1. Let y(a) = 5*a**2 - 7*a + 8. What is -6*x(q) - y(q)?
-17*q**2 + q - 2
Let y(z) = -z + 1. Let p(s) = -s + 2. Let l be p(3). Let o(u) = -20 - 158*u + 154*u + 22 - 2*u**2. What is l*o(t) + 2*y(t)?
2*t**2 + 2*t
Suppose 18 = 604*o - 601*o. Let a(m) = -5*m + 6. Let q(l) = -16*l + 17. Determine o*q(t) - 17*a(t).
-11*t
Suppose 0 = -2*r + 7 - 5, 3*r = -4*j + 15. Let d(x) = -5 + 2 - 1 + 3 - x. Let b(y) = -y**2 - y - 1. Give j*d(p) - 3*b(p).
3*p**2
Let s(f) = -7*f**3 - 3*f**2 + 3*f + 5. Let b = -440 - -438. Let u(t) = 7*t**3 + 2*t**2 - 2*t - 4. Give b*s(y) - 3*u(y).
-7*y**3 + 2
Let t(h) = -h**3 + 3*h - 3. Let n(a) = 2*a**3 - 7*a + 7. Let j = 3 - 13. Let v(o) = -o**2 - 7*o + 1. Let g be v(-6). Let y = j + g. Determine y*n(d) - 7*t(d).
d**3
Let g(w) = 6*w**3 - 9*w**2 + 2*w + 4. Let l(a) = -3*a**3 - 14*a**3 - 3 - 5*a + 26*a**2 - 8. Let o = 72 + -76. What is o*l(f) - 11*g(f)?
2*f**3 - 5*f**2 - 2*f
Let h(m) = -m + 1. Let l(z) = -z + 1. Let u(f) be the third derivative of f**4/6 - f**3/2 + 13*f**2. Let b(d) = -12*l(d) - 4*u(d). Determine b(o) - 2*h(o).
-2*o - 2
Let v(h) = h + 20. Let o(c) = 2*c + 22. Determine 4*o(b) - 6*v(b).
2*b - 32
Let j(q) = -13*q**2 - 7. Let g(v) = 4*v**2 + 2. Let d(x) = 7*g(x) + 2*j(x). Let w(l) = -l**2. Calculate d(m) - 8*w(m).
10*m**2
Let g(m) = 1. Let q(t) = 2*t**2 + 2*t + 6. Suppose 4 = 3*y - 14. Let c be 0 + 0 + 3/(y/(-8)). Determine c*g(f) + q(f).
2*f**2 + 2*f + 2
Let b(k) = -23*k**2 + 8*k + 21. Let o(p) = 69*p**2 - 22*p - 62. Determine -11*b(m) - 4*o(m).
-23*m**2 + 17
Let k(b) = 136*b**3 - 4*b**2 - b - 4. Let m(j) = -272*j**3 + 10*j**2 + 2*j + 10. Determine 5*k(g) + 2*m(g).
136*g**3 - g
Let i(b) = b**3 - 16*b**2 + 2*b - 24. Let n be i(16). Let x(q) = 6*q - 6. Let g(s) = 4*s - 4. Give n*g(l) - 5*x(l).
2*l - 2
Suppose 110*v - 54 = 137*v. Let l(x) = -4*x**2 - 2*x - 1. Let t(a) = -a**2. Calculate v*l(d) + 6*t(d).
2*d**2 + 4*d + 2
Let w(h) = -h - 1. Let s(g) = 67*g**2 - g - 2. Calculate -s(u) + 2*w(u).
-67*u**2 - u
Let c(j) = -2*j**3 - j**2 + j + 1. Let t(k) = -7*k**3 - 4*k**2 + 43*k + 6. Determine -4*c(m) + t(m).
m**3 + 39*m + 2
Let u(j) = -3*j**3 - 2*j**2 + 6*j. Let t(p) = 4*p**3 + 2*p**2 - 7*p. Let i = 8 - 4. Let f be 14/((-16)/(-6) + i/(-6)). Determine f*u(x) + 6*t(x).
3*x**3 - 2*x**2
Let v(n) = 3*n**2 + 69*n - 137*n - 2 + 66*n. Let s(q) = q**2 - q. Let j(u)