 + 2
Let k(a) = -7*a + 8 + 3*a - 2*a. Let c(t) be the third derivative of t**4/6 - 5*t**3/6 + 7*t**2. Give 8*c(p) + 5*k(p).
2*p
Suppose 10*f = 3*f + 7. Let x(w) = -7*w**2 - 2*w + 6. Let p(q) = q**2 - 1. What is f*x(s) + 4*p(s)?
-3*s**2 - 2*s + 2
Let t(a) = a**3 - a**2 - a. Let q(v) = v**3 - 9*v**2 - 10*v + 1. Let g be q(10). Let l(j) = -7*j**3 + 7*j**2 + 6*j - 1. Calculate g*l(p) + 6*t(p).
-p**3 + p**2 - 1
Let q(p) = -3*p**3 + 10*p - 4. Let b(j) = j**3 - 3*j + 1. Give -14*b(h) - 4*q(h).
-2*h**3 + 2*h + 2
Let l(m) = 66*m**3 + 11*m**2 + 11. Let n(y) = -33*y**3 - 5*y**2 - 5. Give 5*l(p) + 11*n(p).
-33*p**3
Let r(w) = w**3 - 3*w**2 + 5*w - 6. Let k(b) = b - 1. Determine 5*k(z) - r(z).
-z**3 + 3*z**2 + 1
Let q(z) = -z**3 - z**2 + 4*z - 3. Let p(a) = a**3 + 1. Suppose 3*t + 63 = 60. Calculate t*q(g) - 3*p(g).
-2*g**3 + g**2 - 4*g
Let w(p) = -10*p + 1. Let i(v) = -v - 1. Let q(r) = -4*i(r) + w(r). Let s(z) = -z + 1. Give -q(u) + 5*s(u).
u
Let l(j) = -220*j**3 - 66*j**2 - 66*j + 66. Let q(w) = 17*w**3 + 5*w**2 + 5*w - 5. What is 5*l(g) + 66*q(g)?
22*g**3
Let p(i) = 5*i - 4. Let z(s) = -5*s + 5. Let v(c) = -4*p(c) - 3*z(c). Let d(t) = 4*t - 1. What is 6*d(f) + 5*v(f)?
-f - 1
Let m be (-1 - 1) + 1/(-2)*2. Let f(c) = 2*c**3 - 5*c + 3. Let w(z) = 3*z**3 - 4*z + 2. Calculate m*w(r) + 2*f(r).
-5*r**3 + 2*r
Let v(d) = -d**2 + 2*d + 1. Let m be v(2). Let o(p) be the second derivative of 3*p**5/20 + p**4/12 - p. Let f(b) = b**3 + b**2 - b. Give m*o(y) - 2*f(y).
y**3 - y**2 + 2*y
Let b be 114/15 - 10/(-25). Let f(d) = -7*d**2. Let a(j) = -j**3 - 2*j - 1. Let k be a(-2). Let s(n) = 3*n - 3*n + k*n**2. Give b*f(l) + 5*s(l).
-l**2
Let d(w) be the first derivative of -w**2 - 4*w + 12. Let r(u) = -3 + 1 - 2*u - 3. Let p(a) = 2*a**3 - 3*a**2 + a. Let v be p(2). What is v*r(k) - 7*d(k)?
2*k - 2
Let f(c) = 5*c + 11. Suppose 0 = 3*d + 12, -4*d + 2*d = -j + 19. Let m(v) = v + 2. Let h(r) = -r**2 + 15*r - 16. Let g be h(14). Calculate g*f(x) + j*m(x).
x
Let y(x) = -10*x + 9. Let g(t) = 5*t - 4. Give 9*g(p) + 4*y(p).
5*p
Let q(s) = -s**3 - s**2 - 1. Let z(g) be the third derivative of 0 - 10*g**2 + 0*g + 0*g**4 + 5/3*g**3 + 2/15*g**5 + 1/10*g**6. What is 10*q(i) + z(i)?
2*i**3 - 2*i**2
Let z(g) = 6*g - 1. Let t(s) = 31*s - 4. Give -2*t(n) + 11*z(n).
4*n - 3
Let c(a) = -5*a - 9. Let m(l) be the first derivative of -l**2 - 4*l + 15. What is -3*c(v) + 7*m(v)?
v - 1
Suppose 4*n - 2*m = 44, 2*n - 21 = -3*m + 1. Let p(y) = -6*y - 3. Let s(b) = -17*b - 8. Calculate n*p(t) - 4*s(t).
2*t - 1
Let z(r) = -r**3 - 6. Let q(j) = -j**2 - 1. Determine -3*q(f) + z(f).
-f**3 + 3*f**2 - 3
Let h(v) = -11. Let i(o) = 0*o + o + 17 - 51. Let s(w) = -7*h(w) + 2*i(w). Let j(d) = -3 + 0 - d - 1. Determine -5*j(n) - 2*s(n).
n + 2
Let u(i) = 2*i**2 - 8*i + 5. Let s(n) = 2*n**2 - 7*n + 4. Let p = -2 - -8. Determine p*s(j) - 5*u(j).
2*j**2 - 2*j - 1
Let w(l) = 35*l**3. Let n(c) = 560*c**3. Give -3*n(g) + 49*w(g).
35*g**3
Let h(q) = -q**2 + 10*q - 12. Let b be h(8). Let r(a) = -6 + b*a**2 - 3*a - 4*a + 13*a. Let x(p) = -11*p**2 - 17*p + 17. Determine 17*r(j) + 6*x(j).
2*j**2
Let l(s) = 206 - s - 207 - 3*s**2 + 2*s**2. Let w(a) = -4*a**2 + 6*a**2 - a**2. Determine -l(t) + w(t).
2*t**2 + t + 1
Let j(x) = 2*x**3 - 2*x**2 + 15*x + 5. Let h(c) = 2*c**3 - 2*c**2 + 14*c + 6. Give -5*h(n) + 6*j(n).
2*n**3 - 2*n**2 + 20*n
Suppose 9*c - 8 = 10*c. Let g(x) = x**2 + 2*x. Let b(t) = 3*t**2 + 5*t. Calculate c*g(a) + 3*b(a).
a**2 - a
Let y(b) = -2*b**2 - 5*b + 5. Let t(j) = -3*j**2 - 3*j + 3. Let z(w) = -w**2 - w + 1. Let s(p) = -t(p) + 4*z(p). Calculate 5*s(q) - y(q).
-3*q**2
Let j(t) = 2*t + 47. Let k(y) = -5*y - 142. What is -8*j(p) - 3*k(p)?
-p + 50
Let i(n) be the third derivative of -n**4/12 + n**3/6 + 5*n**2 + n. Let m(q) be the third derivative of -q**4/3 + 5*q**3/6 - 2*q**2. Determine -9*i(j) + 2*m(j).
2*j + 1
Let l = 11 - 14. Let u = -8 - -10. Let k(p) = -5*p**2 - 3*p + 5. Let o(d) = -4*d**2 - 2*d + 4. What is l*o(g) + u*k(g)?
2*g**2 - 2
Let m(l) = -7*l**2 - l. Let x(p) = p**3 + 22*p**2 + 3*p + 1. What is -7*m(s) - 2*x(s)?
-2*s**3 + 5*s**2 + s - 2
Let t(s) = 2*s**3 + 2*s**2 - 2*s - 20. Let a(p) = -4*p**3 - 5*p**2 + 5*p + 39. Give -2*a(j) - 5*t(j).
-2*j**3 + 22
Let m(n) = -3*n. Let d(p) = -p**3 - p. Let g(j) = 5*j**3 - j. Let h(z) = -4*d(z) - g(z). Suppose -2*f - 1 = -b - 0, -f - 3*b = 18. Calculate f*h(v) - 5*m(v).
3*v**3
Suppose 3*b - 35 = 8*b. Let u(o) = -2*o**2 - 6*o. Let m(s) = 3*s**2 + 7*s. What is b*u(f) - 6*m(f)?
-4*f**2
Let p(c) = 15*c**2 + 12*c. Let h(z) = 4*z**2 + 3*z. What is -22*h(m) + 6*p(m)?
2*m**2 + 6*m
Let x(z) = 25*z - 8. Let i(a) = -13*a + 4. What is 11*i(y) + 6*x(y)?
7*y - 4
Let w(s) = 4*s + 2. Let d(j) = j + 1. Determine 6*d(i) - 3*w(i).
-6*i
Let t(o) = -1. Let u(z) be the first derivative of z**2 + 4*z + 6. Calculate 4*t(j) + u(j).
2*j
Let w(t) = -t**2 - 5*t + 1. Let h(k) = k**2 + 4*k - 1. Determine -4*h(l) - 3*w(l).
-l**2 - l + 1
Let y(s) = -4*s + 9. Let p(j) = 3*j - 6. Suppose 0 = -3*k - 0 - 3, -26 = -4*m - 2*k. Let n = -1 - -6. What is m*p(z) + n*y(z)?
z + 3
Let r(z) be the third derivative of z**4/24 - z**3/6 + z**2. Let s(v) = -8*v + 4. Suppose 4*b + 1 = 5. Give b*s(m) + 6*r(m).
-2*m - 2
Let y(z) be the first derivative of z**2 - 6*z + 15. Let a(b) = 2*b - 7. Calculate -3*a(w) + 4*y(w).
2*w - 3
Let n(u) = 7*u**2 - 2*u - 3. Let z(k) = 13*k**2 - 4*k - 5. Let o(a) = a**3 + 5*a**2 - 4*a - 14. Let p be o(-5). Give p*z(l) - 11*n(l).
l**2 - 2*l + 3
Let p(s) = s**2. Suppose 32 = 3*a - 13. Let n = a + -3. Suppose -3 - n = 3*h. Let o(q) = -q**2. Determine h*p(d) - 3*o(d).
-2*d**2
Let a(i) = i**2 + i - 1. Let j = -188 + 187. Let l(o) = 3*o**3 - 1. What is j*a(y) + l(y)?
3*y**3 - y**2 - y
Let s(i) = i**2 + i. Let t(a) = -8*a**2 - 8*a - 1. Let y be (-45)/39 + 6/39. Calculate y*t(p) - 6*s(p).
2*p**2 + 2*p + 1
Let t(a) = 4*a**2 + a + 7. Let m(d) = -6*d**2 - 3*d + 2*d - 10 + 0*d**2. Let q be (18/(-72))/(0 + (-2)/56). What is q*t(r) + 5*m(r)?
-2*r**2 + 2*r - 1
Suppose 0 = 4*i - 8 - 8. Suppose -i*h + 3*o + 21 = 0, 4*o = h + o + 6. Let v be (-12)/18*h/2. Let f(d) = -4*d + 1. Let x(a) = -5*a + 2. Give v*f(l) + 2*x(l).
2*l + 1
Let g(w) = 3*w**3 - 7*w**2 - 7*w. Let r(j) = 5*j**3 - 11*j**2 - 11*j. What is -8*g(n) + 5*r(n)?
n**3 + n**2 + n
Let f(g) = 13*g**2 + 4*g - 1. Let s(m) = 12*m**2 + 3*m - 1. Determine -6*f(k) + 7*s(k).
6*k**2 - 3*k - 1
Let o(t) = -2*t - 8. Let w(s) = -s - 7. What is -2*o(a) + 3*w(a)?
a - 5
Let z(m) = -3*m**3 - 6*m**2 + 6*m + 1. Let w(r) = -3*r**3 - 6*r**2 + 7*r + 1. Determine 6*w(u) - 7*z(u).
3*u**3 + 6*u**2 - 1
Let o(d) = -2*d**2 + 19 - 2 - 17*d - d**2 - d**2. Let s(c) = 2*c**2 + 8*c - 8. Determine 6*o(n) + 13*s(n).
2*n**2 + 2*n - 2
Let j(c) = -c + 1. Let i(z) = 3*z - 3. What is 3*i(y) + 7*j(y)?
2*y - 2
Suppose 0*c + 10 = 2*c. Let h = 5 - c. Let b(d) = 1 + d**2 - 1 + h. Let r(m) = -2*m**2 + 2. Give 4*b(a) + r(a).
2*a**2 + 2
Let o(n) be the first derivative of -3*n**2/2 - 10. Let q(y) = 2*y. Give -3*o(k) - 5*q(k).
-k
Let c(m) = -5*m**2 + 3*m + 1. Let v(x) = 14*x**2 - 8*x - 3. Let z be 4/6 - 4/(-3). Suppose 3*p = -5*g - 9, 6*p = -4*g + p - z. Determine g*v(s) - 8*c(s).
-2*s**2 + 1
Let o(h) = -39*h**3 + 6*h - 42*h**3 - 6 + 73*h**3. Let i(s) be the third derivative of -7*s**6/120 + 5*s**4/24 - 5*s**3/6 + s**2. What is -6*i(a) + 5*o(a)?
2*a**3
Let r be 4/16 - 70/(-8). Let f(y) = -4*y + r*y + 2*y**2 + 4*y**2 - 1. Let x be (-6)/((-2)/((-8)/(-6))). Let p(z) = 13*z**2 + 11*z - 2. Give x*p(h) - 9*f(h).
-2*h**2 - h + 1
Let n(j) = -11*j - 4. Let d(a) = -32*a - 11. Determine -6*d(t) + 17*n(t).
5*t - 2
Let y(k) be the third derivative of 1/8*k**4 - 3*k**2 + 0 + 1/3*k**3 + 0*k + 1/20*k**5. Let u(m) = m**2 + m + 1. Determine -2*u(w) + y(w).
w**2 + w
Let g(h) = 13*h**3 - 16*h**2 - 9*h + 4. Let r(q) = 6*q**3 - 8*q**2 - 4*q + 2. Calculate 4*g(j) - 9*r(j).
-2*j**3 + 8*j**2 - 2
Suppose 2*o + o = 9. Let f(y) = -5*y**2 + 5*y + 2. Let c(x) = -4*x**2 + 4*x + 1. Suppose -2*u - 3*b = -5, 4*b - 4 - 8 = 0. Determine o*c(j) + u*f(j).
-2*j**2 + 2*j - 1
Suppose 2*h + 2 + 2 = 0. Let l(m) = m - 2. Let t(u) = -5*u**2. Let b(d) = 3*d**2. Let k(q) = -8*b(q) - 5*t(q). Calculate h*k(n) + l(n).
-2*n**2 + n - 2
Let l(j) = -34*j**2 - 5*j + 11. Let s(n) = 7*n**2 + n - 2. Give 2*l(t) + 11*s(t).
9*t**2 + t
Suppose 4*r = 