y**3 - 2*y**2
Let c(t) = -5*t + 8. Let j = -5 - 1. Let o(a) = 3*a + 3. Let p(z) = -5*z - 4. Let r(u) = -3*o(u) - 2*p(u). Determine j*r(d) - c(d).
-d - 2
Let q(h) be the third derivative of -h**5/10 + h**3/2 + 11*h**2. Let g(c) = -7*c**2 + 4. Give -3*g(y) + 4*q(y).
-3*y**2
Let p(j) = -j + 1 + 5*j**2 - 3*j + 3. Let y = -12 + 17. Let s = 7 + -11. Let c(u) = 6*u**2 - 5*u + 5. Give s*c(w) + y*p(w).
w**2
Let h(j) = -j + 1. Let c(m) = 14*m**2 - 28*m + 28. Determine -c(s) + 28*h(s).
-14*s**2
Let j(b) be the first derivative of -b**2/2 + b - 1. Let u(p) = -p - 2. What is -2*j(s) - u(s)?
3*s
Let q(v) = -v**3 + 5*v**2 - 8. Let x(o) = 2*o**3 - 6*o**2 + 7. Calculate -5*q(g) - 4*x(g).
-3*g**3 - g**2 + 12
Let j(r) = r - 5. Let k be j(7). Let n(i) = -k*i**2 - 3*i**2 + 6*i**2 - 4*i. Let h(w) = 2 + 3*w - 2 - w**2. What is 4*h(z) + 3*n(z)?
-z**2
Suppose -7 = 5*w + 3*y, -2*w + 8*y - 3*y + 22 = 0. Let j(k) = -3 + 4*k - 5*k - w. Let z(p) = 3*p + 9. Give -9*j(o) - 4*z(o).
-3*o
Let l(u) = -u**2 + 3*u + 1. Let b(c) be the third derivative of -c**5/30 + 7*c**4/24 + c**3/3 - 8*c**2. What is 4*b(z) - 10*l(z)?
2*z**2 - 2*z - 2
Let h be 9/(-36)*(-2)/(-1)*-12. Let g(r) = -2 - 7*r + r**3 - 1 - 3. Let k(o) be the third derivative of -o**4/24 - o**3/6 + o**2. Calculate h*k(a) - g(a).
-a**3 + a
Let t = 12 + -8. Let w = 3 - t. Let a(x) = -x - 3. Let j(q) = 1. Give w*a(r) - 3*j(r).
r
Let z(l) = -l**3 - l**2 + l - 1. Let c(w) = 2*w**2 - 2*w + 2. Calculate 3*c(t) + 6*z(t).
-6*t**3
Let p(u) = 5*u**2 + 7*u - 9. Let d(o) = -10*o**2 - 15*o + 19. What is 6*d(i) + 13*p(i)?
5*i**2 + i - 3
Let p(t) = t**2 + 3*t - 2. Suppose -3*q - a - 7 = 0, -2*a + 22 = -3*q - 0*a. Let j be p(q). Let n(c) = c - 1. Let o(i) = -i + 3. What is j*n(r) + o(r)?
r + 1
Let v(t) = t**2 + 3*t. Let k(p) be the second derivative of 0*p**2 + 3*p + 7/6*p**3 + 0 + 1/6*p**4. Let s(x) = x - 6. Let n be s(0). Determine n*k(z) + 14*v(z).
2*z**2
Let r(o) = -4*o**2 - 3*o. Let g(q) = -q**2 + 13*q - 1. Let a be g(13). Let z(s) = s**2 + s. Give a*r(y) - 3*z(y).
y**2
Let n(m) = -145*m**2 + 9*m + 13. Let t(y) = -72*y**2 + 4*y + 6. What is -4*n(j) + 9*t(j)?
-68*j**2 + 2
Let o(l) = 4*l**2 - 8*l. Let g(u) = -9*u**2 + 17*u. Suppose 0 = -5*v - h - 30, -4*v + 2*h - 24 = h. What is v*g(d) - 13*o(d)?
2*d**2 + 2*d
Let g(k) = 3*k**2 - 3*k + 4. Let f(h) = h**3 + 8*h**2 - 8*h + 11. Suppose -2*l - 7 = -5*s, 0 = 2*l - l - 4. Give s*f(m) - 8*g(m).
3*m**3 + 1
Let d(o) = o + 1. Let t(r) = r + 2. Let a(f) = 5*d(f) - t(f). Let j(k) = -7*k - 5. Let p(h) = -h - 6. Let l be p(-3). Calculate l*j(q) - 5*a(q).
q
Let d(g) = 64*g**2 - 7. Let w(y) = y**2 - 1. Give -d(m) + 6*w(m).
-58*m**2 + 1
Let h(a) = 5*a**3 - 6*a**2 + 8*a - 6. Suppose -5*r + 24 = -2*n, 3*n - 8 = 1. Let v(s) = 9*s**3 - 11*s**2 + 15*s - 11. What is r*v(l) - 11*h(l)?
-l**3 + 2*l
Let y(r) = 16 - 52 + 16 + 15 + 3*r. Let n(i) = 4*i - 6. Let h = -13 - -19. Give h*y(f) - 5*n(f).
-2*f
Let l(m) = 0*m + 6*m**2 + 10*m + 8*m**3 - 3*m - 2. Suppose -4*k = -2*k - 2*f + 22, -4*k = f + 24. Let h(d) = -9*d**3 - 7*d**2 - 8*d + 2. Give k*l(u) - 6*h(u).
-2*u**3 - u + 2
Let d(f) be the third derivative of -f**4/6 - f**3/6 + f**2. Let q be d(2). Let j(s) = 2*s - 4. Let b(x) = -5*x + 9. Determine q*j(y) - 4*b(y).
2*y
Let u(h) = -h**3 + h**2 + h + 1. Let i(w) = -w**2 - 2*w - 1. Let j(x) = -x**2 - 7*x - 5. Let m be j(-6). Let c be -3*(1 + 12/(-9)). What is c*i(v) + m*u(v)?
-v**3 - v
Let w(x) = -4 + 6*x**2 + 4 - 12*x**2 + 5. Let a(l) = -7*l**2 + 6. Give -4*a(f) + 5*w(f).
-2*f**2 + 1
Let b(v) = 28 - 27 - 24 - 5*v. Let w(r) = -r - 4. What is -6*b(t) + 34*w(t)?
-4*t + 2
Let g(d) = -4*d + 1. Let s(t) = t**2 - 4*t + 11. Let c be s(2). Let f(v) = -2 - 9*v + 2 + 3. What is c*g(i) - 3*f(i)?
-i - 2
Let q(t) = -t**3 - 7*t. Let y(v) = v. What is -3*q(u) - 21*y(u)?
3*u**3
Let b(k) be the third derivative of k**6/24 - k**5/30 + k**3/3 + 24*k**2. Let j(q) = 66*q**3 - 27*q**2 + 27. Give -27*b(z) + 2*j(z).
-3*z**3
Let t(j) = -5*j + 2. Let n = 2 - 2. Suppose -r + 6*r - 3*p - 15 = n, -6 = -2*r - p. Let x(b) = 2 - 12*b + r - 2*b. Determine 11*t(k) - 4*x(k).
k + 2
Let g(n) = 4*n. Let p be (-2)/2*(-2 - -1). Let s(c) = c + 1. Suppose 4*u - 4*z + 4 = 0, u - 4*z + 2 = -4*u. Suppose -5*r - 8 - u = 0. Determine p*g(y) + r*s(y).
2*y - 2
Let y = 1 - -6. Let d(o) = 9*o**2 + 7*o - 7. Let v(l) be the second derivative of 2*l**4/3 + l**3 - 3*l**2 - 2*l. Give y*v(u) - 6*d(u).
2*u**2
Let o(q) = -24*q**2 + 13*q + 13. Let u(w) = -6*w**2 + 3*w + 3. What is -6*o(j) + 26*u(j)?
-12*j**2
Suppose 4 + 2 = 3*u. Let o(q) = q**3 - 7*q - 2. Let b(g) = 3*g + 1. Suppose 5*x = 4*x + 2. Let i = x + 3. Determine i*b(t) + u*o(t).
2*t**3 + t + 1
Let r(t) = -t**2 - t - 1. Let h(y) = 7*y**3 + 6*y**2 + 6*y + 6. Calculate -5*h(d) - 30*r(d).
-35*d**3
Suppose -3*x + 5 = 2*x. Let q(g) be the second derivative of -g**3/3 - g**2/2 + 2*g. Let h = -56 + 57. Let z(d) = -1. Determine h*z(s) + x*q(s).
-2*s - 2
Let j(u) = -5*u**3 - 9*u**2 - 5*u. Let l(t) be the first derivative of -4/3*t**3 - t**2 + 0*t - 1/2*t**4 + 5. Determine 3*j(q) - 7*l(q).
-q**3 + q**2 - q
Let g(l) be the second derivative of -l**3/6 - l. Let f be 1/(-5 + (-16)/(-3)). Let n(i) = i**2 - 3*i. Suppose 5*k = -5 - 0. Give f*g(z) + k*n(z).
-z**2
Let b(r) = r**3 + 2*r + 4. Let t = -4 - -2. Let p be 5/4*(4 + 0). Let n(i) = -3 + 3*i + 5 - 4*i - p. Calculate t*b(l) - 3*n(l).
-2*l**3 - l + 1
Let q(h) = 5*h - 2. Let i be (0 - 2 - 1)*-1. Let l(x) = 6*x - 2. What is i*l(o) - 4*q(o)?
-2*o + 2
Let l(o) = o**2 + o - 1. Let c(f) = -2*f**2 - f + 10. Give c(w) + l(w).
-w**2 + 9
Let z(v) = -1. Let n be ((-6)/27)/((-14)/63). Let s(k) = 3*k - 5*k - 9 + 5*k. What is n*s(x) - 9*z(x)?
3*x
Let j = 105 - 99. Let y(q) = -1. Let g(a) = 5*a + 5. Give j*y(c) + g(c).
5*c - 1
Let l(k) = 3*k**3 + 5*k**2 - 3*k + 3. Let u(b) = -10*b**3 - 16*b**2 + 9*b - 9. Let n(t) = -7*l(t) - 2*u(t). Let c(i) = i**2 - i + 1. Give -3*c(y) - n(y).
y**3
Let k(t) = -4*t**2 - t - 1. Let c(q) = -q**2 - q. Let r = 4 + 2. Let d be r/4*4/3. What is d*c(g) - k(g)?
2*g**2 - g + 1
Let g(b) = 3*b + 40*b**2 - 43*b**2 + 0 - 7. Let x(h) = -5 - 5 + 0*h**2 - 6*h**2 + 2*h**2 + 4*h. Determine -7*g(o) + 5*x(o).
o**2 - o - 1
Let c(l) = 8*l**2 + 16*l. Let p(b) = -b. Calculate c(t) + 16*p(t).
8*t**2
Let m(g) = -13 - 5 + 19. Let h = -1 - 0. Let w(y) = -2*y - 5. What is h*w(b) - 4*m(b)?
2*b + 1
Let j(k) = 2*k**2 + 16*k + 1. Let i(s) = s - 1. Determine -i(x) - j(x).
-2*x**2 - 17*x
Let z(s) = -5*s**2 + s - 5. Suppose 40 = 11*u - 3*u. Let x(d) = 9*d**2 - 2*d + 9. What is u*z(r) + 3*x(r)?
2*r**2 - r + 2
Let d(a) = -9*a**2 - 7*a - 9. Let c(r) = 5*r**2 + 4*r + 5. Calculate 5*c(i) + 3*d(i).
-2*i**2 - i - 2
Let g(f) = f**2 + 1. Let z(v) = 4*v**2 - 5*v + 6. Let i(d) = -2*d**2 + 2*d - 3. Let t(s) = -5*i(s) - 2*z(s). Give 3*g(q) - t(q).
q**2
Let r = -11 - -16. Let a(x) = -x - 3. Let g(q) = q + 2. Let f(o) = 3*a(o) + 4*g(o). Let i(b) = 3*b - 3. What is r*f(t) - 2*i(t)?
-t + 1
Let a(h) = -h**3 + 2*h**2 + 2*h + 1. Let n be a(2). Suppose -n*g - 6 = -7*g. Let f(d) = 2*d**2 + 2*d. Let v(c) = -2*c**2 - 3*c. Determine g*f(l) + 2*v(l).
2*l**2
Let f(w) = -2*w - 2. Let r(q) = q + 1. Let a(k) = -2*k - 2. Let p(v) = 4*a(v) + 3*r(v). Suppose 3*g - 6*g - 24 = 0. What is g*f(s) + 3*p(s)?
s + 1
Let q(j) = -2*j + 5. Let m be ((-6)/4)/((-1)/2). Let l(i) be the first derivative of 3*i**2/2 - 6*i - 2. Give m*l(y) + 4*q(y).
y + 2
Let r(y) = y. Let i(t) = -2*t. What is -3*i(s) - 2*r(s)?
4*s
Let d = 13 + -7. Let q(b) = -20*b - 23. Let u(h) be the first derivative of -7*h**2/2 - 8*h + 2. What is d*q(t) - 17*u(t)?
-t - 2
Suppose 27 = -5*z + a + 5, 6 = z + 5*a. Let w(y) = y. Let q(l) be the first derivative of 1/2*l**2 + 0*l - 2. Determine z*w(x) + 2*q(x).
-2*x
Let m(j) = j**3 - 5*j**2 + 2*j + 5. Let i(p) = -3 + 4*p**3 - 5*p**3 - 5*p + 4*p + 3*p**2. Give 5*i(d) + 3*m(d).
-2*d**3 + d
Let w(l) = -l**3 + 2*l**2 - 2*l - 2. Let j = -45 + 47. Let a(d) = 3*d**3 - 9*d**2 + 8*d + 9. Give j*a(u) + 9*w(u).
-3*u**3 - 2*u
Let c(n) = -17*n**3 + 6*n**2 - 6. Let f(l) = 629*l**3 - 221*l**2 + 221. Calculate -221*c(y) - 6*f(y).
-17*y**3
Let w(v) = -15*v**3 + 2*v**2 + 8*v - 11. Let a(q) = 5*q**3 - q**2 - 3*q + 4. Give -11*a(z) - 4*w(z).
5*z**3 + 3*z**2 + z
Let o be 2/(-5 + -1)*-6. Let d(j) = j**2 - 2*j - 1. Let r(f) = -f**2 + f + 1. Let b be