x**2
Let f(n) = -n**2. Let j(c) = -5*c**2 + 13*c. Give 4*f(a) - j(a).
a**2 - 13*a
Let o(g) be the second derivative of -5*g - 2*g**2 + 0 + 2/3*g**3. Let r(f) = 11*f - 11. What is 8*o(p) - 3*r(p)?
-p + 1
Let w(d) = 11*d**3 - 7*d**2 + 3*d + 11. Let g(h) = -5*h**3 + 3*h**2 - h - 5. Determine -7*g(k) - 3*w(k).
2*k**3 - 2*k + 2
Let w(s) = 22*s**3 - 6*s**2 + 6*s + 1. Let g(n) = -n**2 + n. Determine -6*g(v) + w(v).
22*v**3 + 1
Let m(t) = -2*t**2 - 5*t + 5. Let n(i) = -i**2 - 2*i + 2. Let s(d) = -2*m(d) + 5*n(d). Let g(j) = -j - 12*j**2 + 16*j**2 + 0*j + 2 - 1. Give -g(o) - 6*s(o).
2*o**2 + o - 1
Let q(t) = 9*t**3 - 3*t**2 + 9*t + 5. Let h(p) = 4*p**3 - p**2 + 4*p + 2. Calculate 7*h(v) - 3*q(v).
v**3 + 2*v**2 + v - 1
Let o(y) = 4*y**2 + 6*y. Let r(u) = -8*u**2 - 5*u. Let f(j) = -j**2. Let l(m) = -5*f(m) + r(m). Determine 6*l(c) + 5*o(c).
2*c**2
Let v(p) = -2*p + 2. Let h(a) = -5*a + 6. Suppose 41 = -5*x + 11. Calculate x*h(q) + 17*v(q).
-4*q - 2
Let v(u) = 4. Let q(t) = -t**2 + 1. Let w be ((0 - -1)/2)/(33/66). Calculate w*v(x) - 4*q(x).
4*x**2
Let k(g) be the third derivative of -g**5/12 - g**4/4 + 17*g**2. Let n(j) = -30*j**2 - 35*j. What is -35*k(m) + 6*n(m)?
-5*m**2
Let w(y) = 7*y**2 - 6*y + 2. Let h(x) = 8*x**2 - 7*x + 3. Let z be (-20)/8*((-38)/10 - -1). Calculate z*w(d) - 6*h(d).
d**2 - 4
Let j(g) = 9*g - 4. Let i(m) = 25*m - 10. Let b(k) = 12*k - 5. Let d(u) = -5*b(u) + 2*i(u). Calculate -5*d(p) - 6*j(p).
-4*p - 1
Let p(n) = n**2 - 6*n + 10. Let b be p(4). Let c(j) = -j - 1. Let x(i) = i. Let o(q) = -6*q - 3. Let r(z) = -o(z) - 3*x(z). Determine b*r(f) + 4*c(f).
2*f + 2
Let n = -15 - -10. Let l(a) = -3*a + 7. Let z(c) be the third derivative of -c**4/24 + c**3/2 + c**2. Calculate n*z(u) + 2*l(u).
-u - 1
Let i(v) = -3*v - 1. Let a be i(1). Let t(x) = 3*x**3 - 3*x**2 + 2*x. Let c(o) = -o**3 + o**2 - o. Suppose -7 + 4 = 3*q. Give a*c(d) + q*t(d).
d**3 - d**2 + 2*d
Let g(w) = -8*w**2 + 6*w - 6. Let j = -2 + 1. Let v be (12/30)/((-2)/(-10)). Let y(o) = o + 3*o**v - 1 - 4*o**2 + 0*o. Calculate j*g(p) + 6*y(p).
2*p**2
Let u(z) = -5 + 8*z - 3*z + z**2 - 4*z**2. Suppose -4*l = 14 + 10. Let a(n) = 4*n**2 - 6*n + 6. Give l*u(j) - 5*a(j).
-2*j**2
Let p(y) = 2*y**3 - 14*y**2 - 2*y - 8. Let b(x) be the first derivative of x**4/4 - 5*x**3/3 - x**2/2 - 3*x - 17. Determine 8*b(w) - 3*p(w).
2*w**3 + 2*w**2 - 2*w
Let q(f) = 6*f + 1. Let n(j) = -2*j**2 - j**3 + 9*j**2 - 5*j**2 + 2*j + 2. Let c be n(3). Let o(w) = -w. Calculate c*q(u) - 5*o(u).
-u - 1
Let a(b) be the second derivative of -5*b**3/3 + 13*b**2/2 - 5*b - 1. Let j(i) = -3*i + 4. What is -2*a(c) + 7*j(c)?
-c + 2
Let v(b) = 5*b + 58. Let d(y) = 2*y + 29. Give 7*d(p) - 3*v(p).
-p + 29
Let s(q) = 2*q**2 + 5*q + 5. Let d(l) = l**2 + 2*l + 2. Let v = -109 + 100. Determine v*d(r) + 4*s(r).
-r**2 + 2*r + 2
Let t(j) = -7*j**2 + 2*j. Let h(m) = 27*m**2 - 9*m. What is -2*h(n) - 9*t(n)?
9*n**2
Let b(f) = -f**3 + f**2 + 7*f + 1. Let k(d) = d + 1. Calculate b(p) - 3*k(p).
-p**3 + p**2 + 4*p - 2
Let h(y) = -2*y - 26. Let x(t) = 3*t + 51. Determine -5*h(f) - 3*x(f).
f - 23
Let x(l) = -32*l. Let s(o) = 3*o. Determine -56*s(k) - 5*x(k).
-8*k
Let b(l) = l. Let t = -1 + 10. Let y(x) = t*x - 16*x + 5*x. What is -8*b(v) - 5*y(v)?
2*v
Let r(s) = 7*s. Suppose -5*o = -5*x - 4*o - 13, 2*o + 4 = 0. Let d(p) = p. Give x*d(h) + r(h).
4*h
Let g(t) = -7*t**3 + 6*t**2 + 9*t. Let q(f) = 20*f**3 - 17*f**2 - 26*f. Suppose -4*z = 3*n - 55, -7*n = -2*n - 2*z - 83. Calculate n*g(w) + 6*q(w).
w**3 - 3*w
Suppose 0 = -2*c + 2*d - 24, -2*d - 1 = -3*c - 32. Let n(z) = 2*z - 5. Let k(u) = -3*u + 9. Suppose 3 + 17 = -5*f. Calculate c*n(t) + f*k(t).
-2*t - 1
Let v(j) = -j**2 - j**2 - j**3 + 3*j + 0 - 1. Let d be v(-3). Let f(p) = -4*p**2 + 2*p - 2. Let y(b) = b**2 + 1. Give d*f(w) - 2*y(w).
2*w**2 - 2*w
Let b(o) = 17*o**3 - 13*o**2. Let p(n) = n**3 + 7*n**2 - 3*n + 5. Let i be p(-7). Let w(q) = -4*q**3 + 3*q**2. What is i*w(a) + 6*b(a)?
-2*a**3
Let r(c) = 21*c**2 - 11*c - 4. Let d(p) = -10*p**2 + 5*p + 2. Determine 13*d(s) + 6*r(s).
-4*s**2 - s + 2
Let r(n) = 110*n**3 + 65*n**2 + 65*n + 65. Let y(o) = 5*o**3 + 3*o**2 + 3*o + 3. Determine 6*r(s) - 130*y(s).
10*s**3
Let r(a) = 2*a**2 - 2*a + 2. Let w(o) = 3*o**2 - 4*o + 3. Suppose 2*s + 4 = -2, -5*d - 5*s = 40. Give d*r(i) + 3*w(i).
-i**2 - 2*i - 1
Let a(u) = -7*u**2 - 15*u + 11. Let l(k) = -4*k**2 - 8*k + 6. Let z = 9 + -4. Suppose 0 = -3*m + z*m + 22. Determine m*l(s) + 6*a(s).
2*s**2 - 2*s
Let u(s) = -s + 4. Let v(w) = w - 2. Let a be 6/(-21) + (132/14)/(-2). What is a*v(r) - 2*u(r)?
-3*r + 2
Let y(m) = -8*m**3 + 4*m**2 + 3*m + 3. Let r(a) = 9*a**3 - 5*a**2 - 4*a - 4. Give 3*r(c) + 4*y(c).
-5*c**3 + c**2
Let y(k) = 17. Let j(u) = -40. Let d(m) = 3*j(m) + 7*y(m). Let r(b) = -2*b**2 - b. Let w(c) = 1. Let i(n) = -r(n) + 5*w(n). Calculate 5*d(a) + i(a).
2*a**2 + a
Let b(w) = 5*w**2 + 6*w. Let g be 14/(-9)*(6/(-7) + 0). Let y(p) be the first derivative of 0*p - 5/2*p**2 - g*p**3 - 3. Determine -5*b(q) - 6*y(q).
-q**2
Let y(g) = 10*g**2 + 5*g - 4. Let d(k) = 15*k**2 + 7*k - 6. Let j(t) = -5*d(t) + 8*y(t). Let v(r) = 24*r**2 + 24*r - 10. What is 14*j(p) - 3*v(p)?
-2*p**2 - 2*p + 2
Let k(t) = 4*t - 2. Let c(n) = 5*n - 3. Let y be (-8)/5 + 6/(-15). Suppose p - 2 = 1. Suppose -6 = 2*d - 0*d + 4*q, 2*d = p*q + 15. Calculate d*k(r) + y*c(r).
2*r
Let n(d) = 6*d**3 - 4*d - 5. Let i(h) = -4 + 0*h + 13*h**3 - 9*h - 7. Determine 4*i(t) - 9*n(t).
-2*t**3 + 1
Let u(h) = h + 2. Let f(i) = 2*i + 3. Let y(n) = -n - 1. Let r = 12 - 6. Suppose 5*c + r - 1 = 0. Let t(d) = c*f(d) - y(d). Determine -6*t(w) - 7*u(w).
-w - 2
Let z(p) = p + 9. Let d(i) = -2 - 2 + 3. Let r(h) = 1. Let q(y) = -4. Let x(s) = q(s) - 2*r(s). Let g(n) = -14*d(n) + 2*x(n). Determine -9*g(o) + 2*z(o).
2*o
Let m(z) = -z**3 + 5*z**2 - 10*z. Let g(l) = -l**3 + 7*l**2 - 15*l. What is -5*g(w) + 7*m(w)?
-2*w**3 + 5*w
Let l(q) = q**2 - 6*q - 6. Suppose 11*g = 13*g - 8. Let u(t) = -2*t**2 + 13*t + 13. What is g*u(p) + 9*l(p)?
p**2 - 2*p - 2
Let a(b) = -b**2 + 2*b + 1. Let j(r) = 4*r**2 - 11*r - 6. Let z(q) = 3*a(q) + j(q). Let w(l) = -2*l**2 + 6*l + 4. Give -2*w(p) - 3*z(p).
p**2 + 3*p + 1
Let f(u) = -21*u**3 - 2*u**2 + 2*u + 2. Let a(w) = -w**3 + w**2 - w - 1. Calculate 2*a(y) + f(y).
-23*y**3
Let r(t) = t. Let q(c) be the second derivative of c**3/3 + c. Suppose -4*g + 0*o - 32 = 4*o, -25 = 5*g + 2*o. Determine g*r(h) + 2*q(h).
h
Let w(r) = 2*r**3 - r**2 + 7*r - 2. Let k(o) = -o - 1. Calculate k(b) - w(b).
-2*b**3 + b**2 - 8*b + 1
Let v(b) = 2*b**2 - 2*b + 1. Let c(u) = u**3. What is 6*c(o) - v(o)?
6*o**3 - 2*o**2 + 2*o - 1
Let z(m) = -m**3 - 3 + 6*m**2 + 4 - 7. Suppose 0*q - 5*d + 55 = -5*q, -d - 13 = 3*q. Let f(p) = 3*p**3 - 17*p**2 + 17. Determine q*f(j) - 17*z(j).
-j**3
Let n = -2 - 1. Suppose -g + 35 = -5*t + g, 4*g = 0. Let l(p) = -5*p**3 + 7*p - 3. Let i(z) = 2*z**3 - 3*z + 1. Give n*l(m) + t*i(m).
m**3 + 2
Let j(y) = 4*y + 6. Let h(l) = -3*l - 7. Determine -3*h(i) - 4*j(i).
-7*i - 3
Let i(b) = b**3 - 5*b**2 + 2. Let q(v) = v**3 - 6*v**2 + 1. Give -3*i(t) + 4*q(t).
t**3 - 9*t**2 - 2
Let k(o) = 4*o**3 + 5*o**2. Let i(x) = x**3 + x**2. Give 20*i(g) - 4*k(g).
4*g**3
Let u(o) = 3*o**3 - 5*o**2 - 5*o + 5. Let w(q) = 5*q**3 - 8*q**2 - 8*q + 8. Let d be (55/22)/((-2)/4). Give d*w(x) + 8*u(x).
-x**3
Let t be -3 - 1 - (6 - 3). Let b(k) = -2*k**2 - 3*k - 5. Let w(i) = i**2 + i + 2. Give t*w(q) - 3*b(q).
-q**2 + 2*q + 1
Suppose y = -4*y - 50. Let d(g) = g + 2. Suppose -16 = 2*q - 4. Let n(p) be the second derivative of -p**3/3 - 3*p**2/2 + p. Determine q*n(j) + y*d(j).
2*j - 2
Let b(w) be the first derivative of -5*w**4/4 - 9*w**2/2 - 9*w + 7. Suppose -d - 4*d - 4 = j, 2*d - 2 = 0. Let i(r) = r**3 + 2*r + 2. Give j*i(a) - 2*b(a).
a**3
Let h = 81 - 79. Let d(b) = 4*b**2 - b. Let s(q) = 5*q**2 - 2*q - 1. What is h*s(j) - 3*d(j)?
-2*j**2 - j - 2
Let o(d) = -d**2 + 5*d + 7. Let s be o(6). Let g(j) = -s + 1 - 1. Let i(v) = v - 6. Suppose -4*k - n + 26 = -8*k, -k = n + 4. What is k*g(l) + i(l)?
l
Let i(k) = -k**3 - k + 1. Let m(z) be the third derivative of z**6/20 + z**5/30 + z**4/6 - 2*z**3/3 + 2*z**2. Calculate 4*i(a) + m(a).
2*a**3 + 2*a**2
Suppose 3*l + 19 = 4*b, 4*b - 11 = -l + 4. Let p(r) = -r**3 - 5*r + 1. Let f(v) = v. Let n be -4*(0/5 - -1). Give l*p