2 - 1
Let x(s) = -s**3 + s**2 - 1. Let a(f) = 14*f**3 - 21*f**2 + 21. Determine a(r) + 21*x(r).
-7*r**3
Suppose -2*v = -12 + 2, 5*v = 4*h + 61. Let b(l) = l**3 + l**2 - 9. Let r(m) = 1. Let w(j) = -10. Let g(n) = 12*r(n) + w(n). Calculate h*g(d) - 2*b(d).
-2*d**3 - 2*d**2
Let i(r) = -1 - 3*r**3 + 4*r**3 - 1. Let c(p) = 3*p**3 - 5. Let k be -1*(1/(-1) + 6). Calculate k*i(j) + 2*c(j).
j**3
Suppose -4*t - 5 = -5*t. Let k(g) = g**3 - 3*g**2 - 1. Let o(x) = -2*x**3 + 5*x**2 + 2. Determine t*k(m) + 3*o(m).
-m**3 + 1
Let r(w) = -2*w**3 - 2 - 3*w**3 + 4*w**3 + 2*w**3. Let c(p) = 5*p**3 - 11. Calculate 2*c(s) - 11*r(s).
-s**3
Let c(a) = 14*a. Let y(w) = w. Calculate c(g) + 5*y(g).
19*g
Let o be (-20)/(-4)*1*1. Let l(p) = -16*p**3 + 7*p**2. Let k(u) = -11*u**3 + 5*u**2. What is o*l(r) - 7*k(r)?
-3*r**3
Let q(d) = -20*d. Let u(w) = -180*w. What is -28*q(f) + 3*u(f)?
20*f
Let q(c) = 1 - 2 + 2 - c**2 + c. Let o = -6 - -4. Let d(p) be the third derivative of -p**5/20 + p**4/8 + p**3/2 + 2*p**2. What is o*d(t) + 5*q(t)?
t**2 - t - 1
Let d(r) = 2*r**3 - 2*r**2 + 12. Let k(q) = -q**2 - 1. Calculate d(n) - 3*k(n).
2*n**3 + n**2 + 15
Let m(o) = 4*o - 7. Let f(t) = 21*t - 15. Let c(k) = -5*k + 4. Let n(l) = -9*c(l) - 2*f(l). Determine 4*m(z) - 5*n(z).
z + 2
Let q(t) = -5*t + 1. Let b(v) = -9*v + 1. Suppose 4*d = -2*w + 4*w + 36, 0 = -2*d - w + 10. Give d*q(p) - 4*b(p).
p + 3
Let t(v) = 8*v - 6. Suppose -2*q + q - 6 = 0. Let s(m) = -7*m + 5. Determine q*s(c) - 5*t(c).
2*c
Let l(j) = j**2 - j - 1. Suppose 9*h - 20 = 5*t + 4*h, -2*t = 5*h + 22. Let k(d) = -3*d + 1 - 3 - 1 + 4*d**2. Give t*l(x) + 2*k(x).
2*x**2
Let k = -7 - -12. Suppose -3*c - c + k = -p, 5*p - 9 = 3*c. Let z(y) = -9*y**2 - 5*y + 7. Let g(q) = 5*q**2 + 3*q - 4. What is p*z(i) + 5*g(i)?
-2*i**2 + 1
Let j(h) = -27*h + 1. Let r(t) = -108*t + 4. Determine 9*j(i) - 2*r(i).
-27*i + 1
Let o(v) = v - 1. Let g(r) = -r**2 - 11*r + 11. What is 2*g(q) + 22*o(q)?
-2*q**2
Let p(c) be the third derivative of -c**5/60 + c**3/6 - 2*c**2. Let z(g) = 771*g - 773*g - 2 - g**2 + 3*g**2. Give p(k) + z(k).
k**2 - 2*k - 1
Let z(s) = -2*s**2 + s - 2. Let v be (8/(-6))/((8/6)/(-4)). Let k(o) = 2*o**2 - o + 3. Suppose 0*t - 5*t = -15. Give t*k(n) + v*z(n).
-2*n**2 + n + 1
Let i(d) = -5*d - 6. Let x(o) = 14*o + 17. Let p be (-8)/(-20) - 106/(-10). Let v = 18 + -14. Give p*i(q) + v*x(q).
q + 2
Let h(a) = -1. Let w(i) = i - 2. Let x(l) = l - 1. Let p(b) = -7*w(b) + 6*x(b). What is 24*h(y) + 3*p(y)?
-3*y
Let v(t) = -t**2 - t. Let h = -16 - -14. Let m(j) = -j**2 - j + 1. Give h*m(y) + 3*v(y).
-y**2 - y - 2
Let j(l) = -l**2 - 1. Let t(g) = 3*g**2 + 3. Determine -11*j(r) - 4*t(r).
-r**2 - 1
Let f(n) = -1 + 5*n + 2*n - 3*n. Let a(s) = -3*s + 1. Calculate 5*a(q) + 4*f(q).
q + 1
Let t(z) = z**3 - 6*z**2 - 2. Let y(b) = b**3 - 7*b**2 - b - 3. Give 3*t(p) - 2*y(p).
p**3 - 4*p**2 + 2*p
Let m(t) = t**2 - 8. Let l be m(0). Let r(a) = 5*a**2 - 3*a + 2. Let j(i) = 3*i**2 - 3*i**2 + 1 - 8*i + 14*i**2 + 4. What is l*r(v) + 3*j(v)?
2*v**2 - 1
Let c(u) = 15*u**3 + 3*u + 4. Let r(k) = -k**3 + k + 1. Determine -c(q) + 4*r(q).
-19*q**3 + q
Let v(l) = l**3 - 7*l**2 - l + 24. Let s(b) = -2*b**2 + 8. Give -7*s(o) + 2*v(o).
2*o**3 - 2*o - 8
Let h(b) = 75*b. Let a(y) = 226*y. Calculate 4*a(c) - 11*h(c).
79*c
Let f(k) be the third derivative of k**6/20 - k**4/8 + 2*k**3/3 + 43*k**2. Let r(g) = 11*g**3 - 5*g + 7. Calculate 5*f(s) - 3*r(s).
-3*s**3 - 1
Let b(i) = 16*i + 4. Let a(z) = z + 1. Calculate -2*a(h) + b(h).
14*h + 2
Let b(q) = 2*q - 3. Let w(h) be the second derivative of -h**3/6 + h**2/2 - 5*h. Give 2*b(f) + 6*w(f).
-2*f
Let r be 2 - (-2 - (2 + -3)). Let i(v) = -v**2 + 3*v - 1. Let b(k) = -2*k**2 + 4*k - 1. Calculate r*b(z) - 4*i(z).
-2*z**2 + 1
Let s(o) = -2*o**2 - 36. Suppose -291 = 7*z - 39. Let t(m) = -2. What is z*t(u) + 2*s(u)?
-4*u**2
Let v(n) = 4*n + 1. Let r be -6 + (1 + -3)/(-1). Let h = -7 - r. Let p(z) = -z**2 - 15*z + 30. Let q be p(2). Let y(m) = -5*m - 1. Determine h*y(f) + q*v(f).
-f - 1
Let w(c) = 1. Let a(k) = -k - 1. Suppose 7 - 3 = -4*m. Suppose 6 = -p + 3*p. Suppose -p*u - 5 = 2*u. Give m*w(t) + u*a(t).
t
Let r(z) = -11*z**3 - 9*z**2 + z + 7. Let m(d) = -5*d**3 - 4*d**2 + 3. Calculate 9*m(k) - 4*r(k).
-k**3 - 4*k - 1
Let z(h) = 10*h**3 - h**2 + h + 11. Let d(m) = -2*m**3 - 2. Suppose -3*r - 4*k + 49 = 0, 71 = 5*r + 6*k - 2*k. Calculate r*d(g) + 2*z(g).
-2*g**3 - 2*g**2 + 2*g
Suppose 3*k - 2*s + 15 = 0, -4*s - 20 = -2*k + 6*k. Let q(w) = 7*w + 6. Let x(i) = -i - 1. Suppose 0 = -h - 4*h - 5. Give h*q(l) + k*x(l).
-2*l - 1
Let l(z) = 10*z**2 - 7*z - 7. Let v(q) = q. Let c be v(4). Suppose -2*n = -c*n - 4. Let x(p) = 3*p**2 - 2*p - 2. Calculate n*l(o) + 7*x(o).
o**2
Let p(h) = -9*h + 3. Let y(l) = -44*l + 16. Determine -16*p(i) + 3*y(i).
12*i
Let c be 36/30*(-10)/4. Let f(m) = 6*m**2 + 2*m + 2. Let p(u) = 7*u**2 + 3*u + 3. Determine c*f(q) + 2*p(q).
-4*q**2
Let c(p) = p - 9. Let j(i) = i - 4. What is -2*c(u) + 5*j(u)?
3*u - 2
Suppose 5*c - 25 = x + 4*x, -3*x - 9 = 0. Let u(a) = -16*a**2 + 4*a. Let p(z) = 5*z**2 - z. Determine c*u(m) + 7*p(m).
3*m**2 + m
Let u(x) = -8*x + 7. Let q(h) = 23*h - 20. Let m be 8/32 - (-23)/4. Give m*q(f) + 17*u(f).
2*f - 1
Let p(c) = 1767*c**3 - 155*c**2 + 155*c + 155. Let g(o) = -34*o**3 + 3*o**2 - 3*o - 3. Give -155*g(l) - 3*p(l).
-31*l**3
Let q(r) = -17*r**2 - 13*r - 20. Let m(c) = 4*c**2 + 3*c + 5. Determine -26*m(u) - 6*q(u).
-2*u**2 - 10
Let j(i) = 2*i**3 - 4*i**2 - 8*i + 4. Let b(y) = 6*y**3 - 11*y**2 - 25*y + 11. Give -4*b(g) + 11*j(g).
-2*g**3 + 12*g
Let d(y) = -4*y + 3. Let n(h) be the second derivative of -h**3/2 + h**2 + 7*h. Give -4*d(p) + 6*n(p).
-2*p
Let x(h) = -4*h + 4. Let b(n) = -8*n + 8. Determine 3*b(v) - 7*x(v).
4*v - 4
Let c(o) = 13*o**2 - 7*o + 3. Let u(g) = 7*g**2 - 3*g + 1. Calculate 3*c(a) - 7*u(a).
-10*a**2 + 2
Let a(p) = -2*p. Let j(h) = 153 - 153 - h. Calculate 3*a(t) - 5*j(t).
-t
Let g(c) = -6*c - 6. Let d(l) = -4*l + 1. Let i(f) = f. Let a(o) = d(o) + 5*i(o). Calculate 34*a(r) + 6*g(r).
-2*r - 2
Let j(w) = -7*w**3 + 8*w + 8. Let g(y) = y + 1. Determine 24*g(i) - 3*j(i).
21*i**3
Let g(u) = -11*u**2 + 2*u - 7. Let m(i) = 0*i**2 + i - i**2 + i**2 - 4 - 6*i**2. What is 4*g(b) - 7*m(b)?
-2*b**2 + b
Let y = -14 + 18. Let x(a) = -2*a + a - y + 3. Let n(s) = -4*s - 4. Calculate -3*n(f) + 10*x(f).
2*f + 2
Let b(u) = -6*u - 9. Let l(o) be the second derivative of 0 + 1/2*o**3 + 2*o**2 - 4*o. Calculate 4*b(g) + 9*l(g).
3*g
Let v(n) = 4*n**2 - n + 6. Let u(f) = -6*f**2 + 2*f - 9. Suppose 0 = 12*d - 10*d + 16. Give d*v(x) - 5*u(x).
-2*x**2 - 2*x - 3
Let t(d) = -17*d**2 - 6*d - 6. Let a(k) = -k**2 + k + 1. Calculate 6*a(q) + t(q).
-23*q**2
Let k(t) = 4*t**2 + 6*t + 9. Let b(s) = 9*s**2 + 13*s + 19. Calculate -6*b(d) + 13*k(d).
-2*d**2 + 3
Let u(y) = -4*y**2 + 5*y - 5. Let b(s) be the third derivative of -s**5/60 + s**4/24 - s**3/6 - 2*s**2. Suppose 0 = 4*o - 0*o + 72. Determine o*b(q) + 4*u(q).
2*q**2 + 2*q - 2
Let m(d) = -2*d**3 + d**2 - 4*d - 5. Let l(c) = 0*c**3 + 2*c**3 + 6 + 5*c + 4*c**2 + c**3 - 5*c**2. Determine -4*l(u) - 5*m(u).
-2*u**3 - u**2 + 1
Suppose -3*p = -4*p - 1. Let g(f) = -f**3 + f**2 - f. Let w(z) = 6*z**3 - 5*z**2 + 5*z. Calculate p*w(y) - 5*g(y).
-y**3
Let z(o) = -7*o. Suppose -31 = b - 39. Let k(x) = 20*x. Calculate b*z(i) + 3*k(i).
4*i
Let o(u) = -u**2 + 1. Let d(y) be the third derivative of -7*y**5/30 + 2*y**3 - 9*y**2. Calculate d(n) - 12*o(n).
-2*n**2
Let q(l) = -1. Let j(v) = v + 2. Let n(h) = -j(h) + 6*q(h). Let o(s) = s + 9. Calculate -7*n(y) - 6*o(y).
y + 2
Let w(m) be the second derivative of m**3/2 - m**2 - 22*m. Let p(h) = -7*h + 5. Calculate 2*p(s) + 5*w(s).
s
Let x(t) = -t + 1. Let s be x(3). Let v(q) = -58*q + 24*q - 3 + 30*q. Let l(j) = 2*j + 1. Calculate s*v(a) - 5*l(a).
-2*a + 1
Let m(z) = z. Let s(f) = -3*f**2 - f + 2. Determine -2*m(c) - s(c).
3*c**2 - c - 2
Let v(l) = -8*l**3 - 6*l**2 - 9*l - 3. Let z(g) = 9*g**3 + 7*g**2 + 10*g + 4. Give -7*v(q) - 6*z(q).
2*q**3 + 3*q - 3
Let j(v) = 20*v**2 - 16. Let z(p) = 2*p**2 - 13*p - 15. Let o(m) = m**2 - 6*m - 7. Let c(x) = 13*o(x) - 6*z(x). Calculate -16*c(a) + j(a).
4*a**2
Suppose 41 + 84 = -b. Let z be b/45 + 2/(-9). Let h(n) = 7*n**2 + 7*n - 5. Let f(w) = 4*w**2 + 4*w - 3. What is z*h(v) + 5*f(