 - 3*p(k)?
2*k**2 - k + 1
Suppose 4*q + 0*q = -4. Let u = -3 - q. Let f(x) = x**2 - x - 1. Let r(a) = a**2 - a. Give u*f(s) + r(s).
-s**2 + s + 2
Let u(d) = d**2 + 4*d + 2. Let n(g) = -2*g**2 - 5*g - 2. Let b(z) = -z + 1. Let r be b(-3). Determine r*n(l) + 5*u(l).
-3*l**2 + 2
Let x(f) = 14*f - 8. Let z(v) = 5*v - 3. Let g(o) = 4*x(o) - 11*z(o). Let q(h) = 2*h**3 - 6*h - 6. Determine 6*g(a) + q(a).
2*a**3
Let i(f) be the second derivative of f**3/2 + 3*f**2/2 + f. Let s(n) = n. Let j(v) = -i(v) + 4*s(v). Let g(u) = 4*u - 13. What is -6*g(a) + 26*j(a)?
2*a
Let u(p) = -5*p. Let r(b) = -2 - 2 + 4 + 2*b. What is -6*r(q) - 2*u(q)?
-2*q
Let r = -33 - -47. Let f(k) = -k - 1. Let x(g) = -8*g - 7. Give r*f(n) - 2*x(n).
2*n
Let b(s) = 7*s**2 - 6*s + 1. Let i(w) = -14*w**2 + 13*w - 2. Give -13*b(c) - 6*i(c).
-7*c**2 - 1
Let z(i) = -2*i + 1. Let j(g) = 2*g - 3. Let h(n) = -2. Let b = -9 + 7. Let x(o) = b*h(o) + 2*j(o). Give -3*x(u) - 5*z(u).
-2*u + 1
Let h(g) = -23*g + 11. Let p(r) = 6*r - 8. Let s(l) = 6*l - 7. Let z(f) = 4*p(f) - 5*s(f). Give 6*h(u) - 22*z(u).
-6*u
Let n(j) = -4*j**3 - 8*j**2 - 7*j - 6. Let y(u) = -4*u**3 - 7*u**2 - 6*u - 5. Calculate -5*n(k) + 6*y(k).
-4*k**3 - 2*k**2 - k
Let o(z) be the second derivative of -5*z**3/3 + z**2/2 + z. Let p(n) = -1 + 4*n + 1 - 3*n. Determine 2*o(d) + 22*p(d).
2*d + 2
Let a(y) = 4*y - 2*y**3 - 1 - 4*y. Let v(o) be the third derivative of o**6/60 + o**3/6 - 43*o**2. What is 2*a(t) + 3*v(t)?
2*t**3 + 1
Let t(x) be the third derivative of x**5/30 + x**4/4 - 5*x**3/6 - 4*x**2. Let a(d) = -3*d**2 - 7*d + 6. Calculate -4*a(u) - 5*t(u).
2*u**2 - 2*u + 1
Let p(c) = -c. Let r(y) = -5*y - 1. Let j(n) = -n**3 - 3*n**2 - 4. Let a be j(-3). Let i = -7 - a. Calculate i*p(t) + r(t).
-2*t - 1
Let c(t) = -4*t**3 + t**2 + 2. Let d(o) = -5*o**3 + o**2 + 3. Suppose 5*g - 35 + 9 = 4*r, -3*r = -g + 14. Give r*c(h) + 3*d(h).
h**3 - h**2 + 1
Let q(x) = 1 - x - 3*x + 0. Let i(y) = -y. Suppose 2*o - 3 = -1. Calculate o*q(s) - 5*i(s).
s + 1
Let y(r) = -1. Let z(k) = k + 6. Calculate 5*y(b) + z(b).
b + 1
Let m = 4 + -2. Let a be 0 + 1 + -1 + m. Let d(b) = 2*b**2 + 2*b + 1. Let r(f) be the first derivative of -f**3/3 - f**2 - 1. What is a*d(x) + 3*r(x)?
x**2 - 2*x + 2
Let r(w) = 6*w**2 - 10*w - 28. Let y(b) = 2*b**2 - 3*b - 9. Calculate 2*r(k) - 7*y(k).
-2*k**2 + k + 7
Let h(a) = 1710*a - 76. Let w(n) = -114*n + 5. What is -5*h(i) - 76*w(i)?
114*i
Let s(k) = -k - 3. Let y be ((-2)/(-4))/(2/(-8)). Let p be -12 + (y - -2) + 3. Let g(u) = -2*u - 7. Give p*s(r) + 4*g(r).
r - 1
Let m(v) = -9*v. Let i(t) = -9*t - 5. Let f be 0 - (-1)/(1/24). Let q(h) = 44*h + 24. Let w(u) = f*i(u) + 5*q(u). Determine 3*m(a) + 7*w(a).
a
Let z be ((-2)/6)/(-1)*-9. Let a(n) = 1. Let x(h) = h + 7. Give z*a(o) + x(o).
o + 4
Let v(f) be the third derivative of -7*f**6/120 - f**5/60 - 5*f**4/24 - f**2. Let a(y) = 11*y**3 + 2*y**2 + 8*y. What is 5*a(j) + 8*v(j)?
-j**3 + 2*j**2
Let n(m) be the second derivative of -m**3/2 + 3*m**2/2 - m. Suppose 10 = 5*a - 0. Let j(f) = 6*f - 5 + f - a*f. Give -4*j(u) - 7*n(u).
u - 1
Let i(u) be the third derivative of -13*u**4/24 - 13*u**2. Let c(b) = 6*b. Calculate -9*c(x) - 4*i(x).
-2*x
Let v(b) = b**3 - 6*b**2 + 3*b + 4. Let w(n) = -n**3 + 5*n**2 - 2*n - 3. Give -3*v(y) - 4*w(y).
y**3 - 2*y**2 - y
Let f(x) = -1. Let c(d) = 6*d - 35. Let q(i) = -i + 6. Let k(g) = 6*c(g) + 34*q(g). Suppose 3*y + 27 = 9. Let s be y/(-10) + 4/10. Determine s*k(j) - 4*f(j).
2*j - 2
Let u(t) = -3 + 7 - 1 - 4. Let i(h) = -2*h**2 + 3*h - 6. Calculate i(o) - 5*u(o).
-2*o**2 + 3*o - 1
Let t(p) = 3*p**2 - p + 6. Let s(g) = 9*g**2 - 3*g + 17. What is -6*s(x) + 17*t(x)?
-3*x**2 + x
Let k(d) = -5*d**3 - 39*d**2 + 17*d**2 + 25*d**2. Let v(w) = -14*w**3 + 8*w**2. What is 8*k(m) - 3*v(m)?
2*m**3
Let y(h) = 2*h + 0 - 1 + 5. Let q(v) = 7*v + 15. Let m(c) = -6*q(c) + 22*y(c). Let x(t) = -4*t + 3. Determine 7*m(a) + 4*x(a).
-2*a - 2
Let c = 1 - 2. Let q(i) = -i**3 + i**2 - 1. Let b(h) = -7*h**3 + 6*h**2 - 6. Calculate c*b(y) + 6*q(y).
y**3
Let b(f) = 6*f - 7. Let p(i) = 3*i - 3. Give -6*b(l) + 13*p(l).
3*l + 3
Let z(k) = k**3 + k**2 + k + 1. Let d(l) be the third derivative of l**6/30 + l**5/30 + l**4/8 - 2*l**2. Calculate d(m) - 2*z(m).
2*m**3 + m - 2
Let l(w) = 9*w + 4. Let d(v) = 27*v + 12. Give -2*d(n) + 7*l(n).
9*n + 4
Let j(m) = -m**2 + m. Let d(x) = -14*x**2 + 14*x + 4. Give d(h) - 12*j(h).
-2*h**2 + 2*h + 4
Let t(x) = -x**2 + x - 1. Let w be ((-2)/6)/(8/(-24)). Let u be w*(-1 - -3) + -1. Let d(s) = 10*s**2 - 8*s + 8. What is u*d(z) + 8*t(z)?
2*z**2
Let p(x) = -x + 7. Suppose 7*y + 8 - 1 = 0. Let v(l) = -1. What is y*p(b) - 6*v(b)?
b - 1
Let k(n) = -5*n**3 + 5*n**2 + 3*n. Let x(z) = 7*z - 9*z + 5*z**3 - z**3 - 4*z**2. What is -3*k(f) - 4*x(f)?
-f**3 + f**2 - f
Let t(v) = -v**2 - 2*v + 4. Let g(p) = p**2 + p. Suppose 0 = 8*r - 5 - 3. What is r*t(b) + 3*g(b)?
2*b**2 + b + 4
Let z(t) = t**3 - t**2 + t. Let s = 0 + 5. Let u = s + -8. Let y(g) = -5*g**3 + 4*g**2 - 3*g. Determine u*z(d) - y(d).
2*d**3 - d**2
Let n(w) = -5*w**2 + 4. Let m(r) = 4*r**2 - 3. Let z(u) = -4*m(u) - 3*n(u). Let a(o) = -o**2. Suppose -12 = -4*f + 12. Let y = 10 + -17. Give f*z(b) + y*a(b).
b**2
Let h(j) = -3*j**3 - 5*j - 5. Let u = 63 - 60. Let f(y) be the first derivative of 5/4*y**4 + 4*y**2 + 0*y**u + 8*y - 2. Give -5*f(m) - 8*h(m).
-m**3
Suppose 9*r - 4*r = -35. Let q(v) = -2*v**2 + v. Let n(z) = -2*z**2 + z. Give r*q(l) + 6*n(l).
2*l**2 - l
Suppose 0*o = 2*o - 10. Let x(m) = -184 + 5*m - 2*m**2 + 184. Let q(a) = 7*a**2 - 5*a**2 - 4*a - 2*a. Give o*q(g) + 6*x(g).
-2*g**2
Let g(m) = 6*m + 1. Let r(p) = 1. What is g(w) - 4*r(w)?
6*w - 3
Suppose -t - 2 = 0, -2*t = -3*p - 0 - 8. Let d(m) be the third derivative of m**6/24 + 2*m**3/3 + m**2. Let j(l) = l**3 + 1. Give p*j(n) + d(n).
n**3
Let f(d) be the third derivative of d**5/60 + d**4/24 + d**3/6 - 2*d**2. Let s(u) = -4*u**2 - u - 2 - u + 0*u. Suppose 10 = 3*l + 4. What is l*f(z) + s(z)?
-2*z**2
Let m(t) be the second derivative of 5*t**4/12 + t**3/3 - t**2 + 8*t. Let a(h) = 26*h**2 + 11*h - 11. Determine 2*a(j) - 11*m(j).
-3*j**2
Let a(s) = s. Let z(c) = -5*c - 3. Suppose -2*r - r + 14 = -5*k, 4*k = -4. Give r*a(j) + z(j).
-2*j - 3
Let v(h) = -5*h**2 + 8*h - 5. Let i(y) = 4*y**2 - 9*y + 6. Determine -5*i(o) - 6*v(o).
10*o**2 - 3*o
Let r(k) = -3*k**2 - 9*k + 9. Let q(p) = -p + 1. Calculate -9*q(l) + r(l).
-3*l**2
Let c(i) = i**3 - 2*i**3 - 3*i**3 + 13*i. Let l(s) = 2*s + 16. Let d be l(-8). Suppose 4*x = -d*x + 24. Let u(t) = -t**3 + 3*t. Calculate x*c(v) - 26*u(v).
2*v**3
Let m(r) be the first derivative of -2*r**2 - 9*r - 12. Let t(b) = -4*b - 8. Calculate 6*m(h) - 7*t(h).
4*h + 2
Suppose -2*p = -3 - 1. Let k(u) = 2 - p + u + 0. Suppose -3*h - 4 = h. Let z(r) = r**3 - r**2 - 4*r + 2. What is h*z(o) - 4*k(o)?
-o**3 + o**2 - 2
Let y(h) = 9*h**3 - 3*h. Let b(j) = 5*j**3 - j. What is 11*b(o) - 6*y(o)?
o**3 + 7*o
Let p(r) = 6*r**3 - 6*r. Let v(q) = -2*q**3 + 2*q. Suppose -2*z + 7 = 1. Calculate z*p(x) + 8*v(x).
2*x**3 - 2*x
Let j(v) = -3*v**2 + 6*v - 1. Let i(g) = g**2 - g + 1. Calculate -2*i(o) - j(o).
o**2 - 4*o - 1
Suppose 6*c - 9 = 9*c. Let d(u) = u + 1. Let l = 0 + 1. Let x(b) = b + 2. Calculate c*d(m) + l*x(m).
-2*m - 1
Let v(a) = -4*a - 1. Let y(n) = -16 - 18 + 35 + 3*n. Give -5*v(m) - 7*y(m).
-m - 2
Let k(d) = -d**2. Let q(g) = -2*g**3 + 8*g**2 + 11*g + 2. Calculate -6*k(s) - q(s).
2*s**3 - 2*s**2 - 11*s - 2
Suppose 2 = 2*h - 2. Let g(d) be the third derivative of -h*d**2 - 7/6*d**3 - 1/6*d**4 + 0*d + 0. Let b(r) = -3*r - 6. What is 5*b(a) - 4*g(a)?
a - 2
Let b(x) = 1. Suppose 0 = 6*l - 7*l. Suppose -2*j - 5*s + 2 + 1 = l, 3 = -s. Let h(i) = -i + 4. What is j*b(g) - 2*h(g)?
2*g + 1
Let w(x) = -7*x**2 - 6*x + 5. Let k(y) = -3*y**2 - 3*y + 2. Give -5*k(g) + 2*w(g).
g**2 + 3*g
Let g(r) = 7*r**2 - 6*r + 6. Let y(l) = -20*l**2 + 17*l - 17. Determine -17*g(q) - 6*y(q).
q**2
Let v(r) = 9*r**2 - 4. Let h(d) = 4*d**2 - 2. Suppose -4*b + 0 = -4. Let m = -4 + b. Give m*v(j) + 7*h(j).
j**2 - 2
Let m(l) = -2*l**3 - 6*l**2 + l + 1. Let x(p) = p**3 + p**2 - 1. Give -m(k) - 6*x(k).
-4*k**3 - k + 5
Let q(a) = a**2 + 1. Let j(r) = -9*r**2 - 8. Determine j(m) + 5*q(m).
-4*m**2 - 3
Let o(t) = -10*t**2 + 1. Let d be o(-1). Let j(i) = 7*i - 7. Let s(w)