p**2 - 1
Let v(g) = 3*g**2 - 13*g + 2. Let n(p) = -p**2 - p - 1. Give n(q) + v(q).
2*q**2 - 14*q + 1
Let n(h) be the third derivative of -5/6*h**3 + 0 + 0*h + 1/6*h**4 - 5*h**2. Let z(g) = 5*g - 6. Let j(k) = 2*k - 6. Let l be j(5). Calculate l*n(c) - 3*z(c).
c - 2
Let i(w) = -w**2 - w. Let d(n) = 8*n**2 + 4*n. What is d(h) + 5*i(h)?
3*h**2 - h
Let t(j) = j - 1. Let p(s) = s - 1. Let g be p(0). Let h be 0 + 3 + (g - 0). Let a(z) = 2. Give h*t(o) + a(o).
2*o
Let w(d) = 36*d**2 + 9*d. Let s(k) = 18*k**2 + 4*k. What is -9*s(y) + 4*w(y)?
-18*y**2
Let b(j) = 1 - 4*j + 4 + 6*j. Let l(m) = 6*m + 14. Suppose -c = -3*c + 4. Suppose o - r = 2*r + c, -4*o + 38 = 3*r. Give o*b(h) - 3*l(h).
-2*h - 2
Let o(j) = 7*j**3 + 9*j**2 + 15*j + 11. Let n(z) = -4*z**3 - 5*z**2 - 8*z - 6. Determine 11*n(m) + 6*o(m).
-2*m**3 - m**2 + 2*m
Let i(s) = 6*s**2 - 10*s + 1. Let k(u) = -5*u**2 + 9*u. Calculate -3*i(q) - 4*k(q).
2*q**2 - 6*q - 3
Let u(s) be the third derivative of -s**6/40 - 5*s**4/24 + 5*s**3/6 - 9*s**2. Let z(w) = 15*w**3 + 24*w - 24. Give 24*u(p) + 5*z(p).
3*p**3
Let w(a) = 2*a - 2. Let l(g) = -g - 1. What is -3*l(j) + w(j)?
5*j + 1
Let p(h) = -h**2 + 3*h + 5. Let d be p(4). Let q(v) = d - v - 5 + 2 - 3*v**2. Let z(s) = 3*s + 41 - 5*s - 46 - s**3 - 7*s**2. Determine -5*q(m) + 2*z(m).
-2*m**3 + m**2 + m
Suppose 0 = -5*h + 10*h - 15. Let i(m) = 2*m**2. Let w(y) = -2*y**2. What is h*w(u) + 2*i(u)?
-2*u**2
Let u(x) = 56*x**2 + 28*x - 28. Let t(y) = y - 1. Give 28*t(j) - u(j).
-56*j**2
Let t = 11 - 7. Let f(d) = t - 2 - d + 0 - 1. Let u(g) = -g**3 - g + 2. Give -2*f(o) + 2*u(o).
-2*o**3 + 2
Let y(l) = -14*l**3 + 0*l**2 + 21*l**3 + 0*l**2 - 4*l. Let u(f) = -48*f**3 + 27*f. Give 4*u(r) + 27*y(r).
-3*r**3
Let f(j) = -2*j**3 + 4*j**2 + 7*j - 3. Suppose -p - 4*o = -4*p - 21, 5*o = p + 7. Let x(l) = l**3 - 2*l**2 - 4*l + 2. What is p*x(s) - 4*f(s)?
s**3 - 2*s**2 - 2
Let q(w) = 55*w**2 - 16*w - 21. Let s(b) = 11*b**2 - 3*b - 4. Determine -2*q(m) + 11*s(m).
11*m**2 - m - 2
Let o(s) = -10*s - 68. Let z(f) = 3*f + 23. Determine -2*o(d) - 7*z(d).
-d - 25
Let v(a) be the second derivative of 5/6*a**3 + 0 + a - 5/2*a**2 + 5/12*a**4 - 3/20*a**5. Let n(r) = -4*r**3 + 6*r**2 + 6*r - 6. Give -5*n(j) + 6*v(j).
2*j**3
Let z(t) = 4*t - 5 + t**2 + t**2 - 4*t**2. Let b(q) = 5*q**2 - 11*q + 14. Let l(w) = -w - 10. Let s be l(-6). Determine s*b(v) - 11*z(v).
2*v**2 - 1
Let q(z) = z**2 - 5. Let b be q(0). Let v(h) = 2*h - 5. Let p(u) = -u + 4. What is b*v(t) - 6*p(t)?
-4*t + 1
Let i(p) = 2*p**2 - p - 1. Let h(r) = 3 - 2 + 5*r - 4*r - r**2. Let a be -1*(-1)/1 + 0. Suppose 3 - 7 = -4*n. Determine a*h(d) + n*i(d).
d**2
Let i(a) = -11*a + 6. Let l(u) = 264*u - 143. Determine 143*i(m) + 6*l(m).
11*m
Let o(d) = 21*d**3 + 5*d + 5. Let f(x) = 10*x**3 + 2*x + 2. Calculate -5*f(i) + 2*o(i).
-8*i**3
Let m(c) = 0*c**3 - 3*c**2 - c - 6*c**3 + 5*c. Let u(x) = 17*x**3 + 4*x**2 - 2*x**2 + 6*x**2 - 11*x. Let i be 1*(-1)/((-1)/4). What is i*u(v) + 11*m(v)?
2*v**3 - v**2
Let h(m) = 14*m**2 - 6*m - 9. Let z(c) = 5*c**2 - 2*c - 3. Give 3*h(f) - 8*z(f).
2*f**2 - 2*f - 3
Let y = -3 + 5. Let m(p) = 4*p - y*p - p. Let q(a) = -2*a - 1. Determine -3*m(v) - q(v).
-v + 1
Let l(j) = -2*j**2 - j - 2. Let m(d) = -d**3 - d**2 - d - 1. Let w = -16 + 17. Give w*l(i) - 2*m(i).
2*i**3 + i
Let r(a) = -a - 5. Suppose 4*o = -3*y + 6*y + 23, 0 = o + 2*y - 3. Suppose 0 = -b + 2*b - 4. Let q(j) = j + 6. What is b*q(z) + o*r(z)?
-z - 1
Let g(d) = -2*d + 0*d + d. Let i = -270 + 263. Let h(o) = 2*o. Calculate i*g(u) - 4*h(u).
-u
Let a(j) = -5*j - 9. Let m(i) = i. Give -a(q) - 6*m(q).
-q + 9
Let c(o) = 11*o**2 + 4*o. Let d(r) = 11*r**2 + 3*r. What is -3*c(w) + 4*d(w)?
11*w**2
Let r(v) = -3*v**3 + v**2 - 9*v. Let n(k) = 4*k**3 - 2*k**2 + 14*k. What is 5*n(a) + 8*r(a)?
-4*a**3 - 2*a**2 - 2*a
Let m(g) = g**3 - g**2 - g + 1. Let t(i) = i**3 - 6*i**2 - 3*i + 3. Calculate 3*m(u) - t(u).
2*u**3 + 3*u**2
Let r be -3 + 1 - 0/2. Let f = -11 + r. Let s = f + 6. Let k(x) = 3*x + 6. Let l(o) = -2*o - 4. Calculate s*l(p) - 5*k(p).
-p - 2
Let x(i) = i. Let f(v) = 68*v. Determine f(s) - 51*x(s).
17*s
Let o(a) = 21*a**2. Let b(i) = 4*i**2 - 7*i - 7. Let q(h) = -3*h**2 + 5*h + 5. Let p(w) = 5*b(w) + 7*q(w). Give -o(n) - 18*p(n).
-3*n**2
Let a(i) be the third derivative of -i**5/30 - i**4/4 - i**3/6 + 10*i**2. Let d(r) = -2*r**2 - 7*r - 1. Determine 7*a(l) - 6*d(l).
-2*l**2 - 1
Let b(q) = 21*q**3 - q - 18*q**3 + 2*q - q**2 + 3*q**2. Let x(w) = -w. Calculate -b(v) - x(v).
-3*v**3 - 2*v**2
Let f(a) = -7*a**3 + 3*a**2 + a. Suppose 4*u - 52 + 4 = 0. Suppose 0 = 4*v - 0*v - u. Let h(k) = -4*k**3 + 2*k**2 + k. What is v*f(t) - 5*h(t)?
-t**3 - t**2 - 2*t
Let p(o) = 2*o**2 + 4*o + 3. Let n(r) be the third derivative of r**5/15 + 7*r**4/24 + 5*r**3/6 - 7*r**2. What is -4*n(q) + 7*p(q)?
-2*q**2 + 1
Let a(r) = -12*r**3 - 2*r + 3. Let z(x) = 35*x**3 + x**2 + 7*x - 10. Calculate -7*a(k) - 2*z(k).
14*k**3 - 2*k**2 - 1
Let p(n) = -n + 1. Let h(q) = -7*q**3 + 3*q - 4. Give h(r) + 4*p(r).
-7*r**3 - r
Let q(u) = 13 + 5*u**2 + 5 - 8 + 7. Suppose 0 = -4*p - 11 - 1. Let z = p + 5. Let s(d) = -d**2 - 4. Calculate z*q(f) + 9*s(f).
f**2 - 2
Let q(r) = 6*r - 1. Let z(s) = 8*s - 2. Let t(y) = -7*q(y) + 5*z(y). Let b(h) = 3*h + 4. Calculate -3*b(f) - 4*t(f).
-f
Let p(z) = -5*z**3 - 2*z**2. Let o(g) = -g**2. What is -2*o(u) + p(u)?
-5*u**3
Let f(a) = -a**3 + a**2 + a. Let l(r) = 7*r**3 - r**2 - r. Give 2*f(o) + 2*l(o).
12*o**3
Suppose u = -3*u. Let o = 1 - u. Let q be 0 - (0 + o + -2). Let a(k) = -k**2 - 1. Let f(t) = t**2 + 2. Determine q*f(h) + 2*a(h).
-h**2
Let o(a) = 10*a**3 - 5*a**2 - 5*a - 3. Let j(l) = 3*l + 33. Let n be j(-10). Let d(x) = -5*x**3 + 3*x**2 + 3*x + 2. What is n*o(h) + 5*d(h)?
5*h**3 + 1
Let s(v) = -5*v - 5. Let u = 30 + -35. Let g(x) = -4*x - 4. Calculate u*s(m) + 6*g(m).
m + 1
Let q(p) = -10*p**3 + 8*p**2 + 8*p - 8. Let l(u) = -7*u**3 + 5*u**2 + 5*u - 5. Give -8*l(j) + 5*q(j).
6*j**3
Let n(q) = -q + 2. Suppose -2*b + 4*f - 12 = 0, 0*f - 4*f = -5*b. Let m(g) = 0 - 1 - 3*g + b*g. Let r be 1 - ((-1)/1)/1. What is r*m(k) + n(k)?
k
Let v(w) = -4*w**3 - w**2 - 2*w - 3. Let t(r) = -1. Calculate 3*t(u) - v(u).
4*u**3 + u**2 + 2*u
Let p(w) = -24*w**2 + 5*w. Let q(l) = -5*l**2 + l. Give -2*p(b) + 11*q(b).
-7*b**2 + b
Let b(f) = -1. Let k(l) = -14*l - 5. Determine 6*b(s) - k(s).
14*s - 1
Suppose 4*t - 3*k - 4 + 8 = 0, 2*k = 0. Suppose -4*r + 24 = -4*n - 0, -n - 14 = -3*r. Let v(c) = -6*c + 3. Let l(i) = -i + 1. What is r*l(x) + t*v(x)?
2*x + 1
Let a(p) = 5*p**2 - 3*p - 3. Let n(j) = j**2 - j. Give -a(b) + 4*n(b).
-b**2 - b + 3
Let q(j) = -13*j**2 + 13*j + 5. Let f(c) = -3*c**2 + 3*c + 1. Let k(x) = -x**3 - 5*x**2 + 5*x + 3. Let t be k(-6). What is t*f(b) - 2*q(b)?
-b**2 + b - 1
Let b(l) = -5*l - 2. Let d(f) = 3*f + 1. Determine 6*b(s) + 11*d(s).
3*s - 1
Let m(n) = 3. Let t(u) = -u - 7. Suppose 3*p - 11 = 5*j, -6*j + 2*j - 12 = -4*p. Suppose 0*w + 10 = 2*r + 5*w, w = 0. Determine p*t(g) + r*m(g).
-2*g + 1
Let u(r) = -17*r + 12. Let y(o) = o**3 - 6*o**2 + 4*o + 7. Let m be y(4). Let n(s) = 4*s - 3. Give m*n(a) - 2*u(a).
-2*a + 3
Suppose -y + 4 = 2. Let k(r) = 0 + 2 + y*r**2 + 4. Let a(o) = -2*o**2 - 7. Calculate 4*a(j) + 5*k(j).
2*j**2 + 2
Suppose 3*t - 2*c - 24 = c, -4*c = 12. Let r(l) = -l - 3. Let d(s) = -2*s - 7. Let y be 3/(-3*(-4)/(-8) + 0). What is t*r(n) + y*d(n)?
-n - 1
Let g(a) = -3*a**2 - 5*a + 1. Let o(r) = 9*r**2 + 11*r + 4. Let w(i) = 8*i**2 + 10*i + 3. Let s(y) = -4*o(y) + 5*w(y). Give -5*g(u) - 4*s(u).
-u**2 + u - 1
Let l(a) = 9*a + 1. Let k(c) be the third derivative of 5*c**4/24 + 33*c**2. Let v be (-70)/22 + (-4)/(-22). Give v*l(y) + 5*k(y).
-2*y - 3
Let z(u) = -7*u**2 - 3*u + 4. Suppose 0 = -7*r - 6*r - 52. Let y(w) = -6*w**2 - 2*w + 3. Give r*z(j) + 5*y(j).
-2*j**2 + 2*j - 1
Let b(q) = -5*q**2 - q - 3. Let y(d) = 14*d**2 + 3*d + 8. Determine -11*b(z) - 4*y(z).
-z**2 - z + 1
Let j(f) = 3*f**2 + 2 + f - 7*f**2 - 3*f + 6*f**2 - 4*f**3. Let w = 6 - 4. Let c(o) = -o**w - o**2 + 3*o - 3 - o**2 + 5*o**3. Give -2*c(v) - 3*j(v).
2*v**3
Let g(j) = 1263*j - 10 + 4 + j**3 - 1257*j + 7*j**2. Let z(d) = 2*d**3 + 13*d**2 + 11*d - 11. What is 11*g(a) - 6*z(a)?
-a**3 - a**2
Let b(w) = -w. Let p(h) = 2*h. Determine 3*b(f) + 2*p(f).
f
Let t(i) = -6*i**3 - 5*i**2