 - 1
Let u(z) be the third derivative of 2*z**5/15 + z**4/3 + 5*z**3/6 - 6*z**2. Let r(l) = 7*l**2 + 7*l + 4. What is -7*r(i) + 6*u(i)?
-i**2 - i + 2
Let o(u) = 2*u + 1. Let n(c) = c + 1. Suppose 5*t - 3*w + 2 = 0, -3*t + 7 = -8*t - 2*w. Let j be -4 + -2 + (t - -3). Determine j*n(l) + 3*o(l).
2*l - 1
Let l(p) = 4*p**3 + 13*p**2 + 2*p - 2. Let f(h) = -17*h**3 - 51*h**2 - 9*h + 9. Determine -2*f(b) - 9*l(b).
-2*b**3 - 15*b**2
Let t(g) = 3*g**2 - 2*g - 3. Let k(d) = -7*d**2 + 5*d + 7. Let w(u) = -2*k(u) - 5*t(u). Let r(s) = 7*s - 7*s + 1 - 2*s**2. Determine -r(i) + w(i).
i**2
Let j(m) = -m - 1. Let a(c) = 54*c + 3. Calculate a(l) + 3*j(l).
51*l
Let v(i) = 9*i**2 - 5*i - 19. Let p(j) = -5*j**2 + 3*j + 9. Calculate -5*p(u) - 3*v(u).
-2*u**2 + 12
Let a(v) = 3*v + 7. Let t be a(-4). Let n(g) = -3*g + 6. Let i(o) = 4*o - 7. Calculate t*n(q) - 4*i(q).
-q - 2
Let w(m) = -3*m**2 + 8*m + 14. Let r(u) = 2*u**2 + 6*u + 2. Let g(z) = -z**2 - z + 1. Let q(i) = -3*g(i) - r(i). Give -11*q(v) - 4*w(v).
v**2 + v - 1
Let m = 0 + 2. Let o(a) = -1 + 4*a**2 - m + 3. Let b(d) = 2*d**2. Determine 5*b(x) - 2*o(x).
2*x**2
Let c(q) = -q + 1. Let x(v) = 2*v**2 + 2*v + 3. Give -4*c(k) + x(k).
2*k**2 + 6*k - 1
Let a(y) be the second derivative of y**5/10 - y**3/6 - y**2/2 - 6*y. Let p(k) = 3*k**3 - k - 2. Calculate -4*a(q) + 3*p(q).
q**3 + q - 2
Let h(s) be the third derivative of s**4/12 + 2*s**3/3 + 22*s**2. Let x(l) = l + 2. Calculate -4*h(n) + 7*x(n).
-n - 2
Let n(j) be the third derivative of -7*j**5/60 + j**4/24 - j**3/2 - 11*j**2. Let z(i) = -4*i**2 + 1 + 3*i**2 - 2. Give -n(u) + 5*z(u).
2*u**2 - u - 2
Let m(c) = -2*c**3 + 4*c**2 - 2*c + 5. Let q(j) = -4*j**3 + 9*j**2 - 3*j + 11. Give -9*m(d) + 4*q(d).
2*d**3 + 6*d - 1
Suppose -3*c - v - 7 + 19 = 0, -v = 0. Let o(k) = 3*k - 2. Let p(g) = -16*g - 15 + 52 - 26. Give c*p(w) + 22*o(w).
2*w
Let u(j) = -j**3 - 3*j - 9. Let w(q) = q**3 + 5*q + 17. Give 5*u(p) + 3*w(p).
-2*p**3 + 6
Let q = 22 - 16. Let r(p) = -p + 1. Let m(w) = 9*w - 4. Let z(g) = -m(g) - 4*r(g). Let o(d) = -14*d. Give q*o(i) - 17*z(i).
i
Let f(n) = n. Let a(r) = 13*r**2 - 8*r - 7. Let d(k) = 4*k**2 - 3*k - 2. Let s(v) = -2*a(v) + 7*d(v). What is -4*f(c) - s(c)?
-2*c**2 + c
Let n(q) = 1 + 4*q**2 + 0 - q - 3*q**2. Let i(k) = 3 - 2*k - 1 + 0*k**2 + 3*k**2. Let w = 72 - 71. Determine w*i(p) - 2*n(p).
p**2
Let o(j) = -2*j + 6. Let x(s) = -2*s + 7. Calculate -6*o(l) + 5*x(l).
2*l - 1
Let t be 4/8 + 3/(-2). Let l(s) = -10*s - 5*s**2 + 10*s + 2 + 5*s. Let j(w) = 1. Let n(v) = -v**2 + v - 3. Let p(y) = -4*j(y) - n(y). Calculate t*l(q) - 3*p(q).
2*q**2 - 2*q + 1
Let s(d) = d + 1. Let o(w) = 2*w + 1. What is 2*o(f) - 5*s(f)?
-f - 3
Let h be (-3)/6 + 7/2. Let a(z) = z**3 - 8*z**2 - 2*z. Let l be a(8). Let c(s) = 6*s**2 - 26*s + 16. Let f(g) = g**2 - 5*g + 3. What is h*c(q) + l*f(q)?
2*q**2 + 2*q
Let c(o) = -3*o + 11. Let y(i) = 0*i + i + 0*i - 5. Suppose -v + 19 = -5*g - 5*v, -v = -2*g - 5. What is g*c(j) - 7*y(j)?
2*j + 2
Let k = 1 - 1. Let h(z) be the second derivative of k + z + z**2 - 1/6*z**3. Let m(w) = w**2 + w - 1. What is h(f) + 2*m(f)?
2*f**2 + f
Let n = 25 + -27. Let q(m) = m**2 + 6*m. Let f(p) = 5*p. Calculate n*q(c) + 3*f(c).
-2*c**2 + 3*c
Let h(f) = -2*f**3 + 3*f**2 - 3. Let s be (-3)/(-9) + (-10)/3. Let o = 7 - 8. Let m = 3 + o. Let l(v) = -2*v**3 + 2*v**2 - 2. Give m*h(b) + s*l(b).
2*b**3
Let a(h) = -6*h. Let u(m) = -m - 1. What is -a(z) + 5*u(z)?
z - 5
Let u(h) = 5*h**2 - 3*h - 1. Let m(r) = r**2 - r + 1. Calculate -6*m(l) + u(l).
-l**2 + 3*l - 7
Let a(h) = -4*h**3 + 4*h**2 + h. Let v(y) = -9*y**3 + 9*y**2 + 2*y. Let i be 4/22 - 670/55. Let x = i + 6. Determine x*v(n) + 13*a(n).
2*n**3 - 2*n**2 + n
Let r(u) = -u + 1. Let v(j) = j. Let d(p) = 3*p - 2. Let t(x) = -3*d(x) + 6*v(x). What is -5*r(i) + t(i)?
2*i + 1
Let u(i) = 2*i - 2. Suppose -y = 3*y + 12. Suppose v = 3*v - 10, -3*v + 7 = -2*l. Let t(x) = 2*x - 3. Determine l*u(g) + y*t(g).
2*g + 1
Let h be ((-136)/24)/(2/6). Let m(t) = -3*t**3 + 6*t**2 + 6*t. Let j(g) = 8*g**3 - 17*g**2 - 17*g. Calculate h*m(x) - 6*j(x).
3*x**3
Let b(h) = -h**3 - 6*h**2 - 1. Let i(m) = m**2 - 9*m + 10. Let s be i(8). Suppose -s*p = 6 - 16, -w - 9 = -3*p. Let l(z) = -z**2. Determine w*l(n) - b(n).
n**3 + 1
Let s(b) = -6*b**3 - 3*b**2 + 3. Let c(f) = 4*f**3 + 2*f**2 - 2. Suppose -65 = 15*v - 2*v. Give v*s(w) - 7*c(w).
2*w**3 + w**2 - 1
Let o(c) = c**2 + c + 1. Let s(t) = t**2 + 3*t + 3. Calculate 3*o(x) - s(x).
2*x**2
Let u(v) = -51*v**2 - 3*v. Let q(s) = -76*s**2 - 4*s. What is 5*q(d) - 7*u(d)?
-23*d**2 + d
Let f(d) be the second derivative of d**2/2 - 5*d. Let b(v) = -v**2 + 2*v - 3. Determine b(s) + 2*f(s).
-s**2 + 2*s - 1
Let f(s) = 14*s - 5. Let a(v) = 15*v - 6. Determine 5*a(p) - 6*f(p).
-9*p
Let r(a) = -5*a**2 - 15*a. Let u(k) = k. Let g(d) = 3*d**2 - 4*d. Let q be g(3). Give q*u(v) + r(v).
-5*v**2
Let v(u) = -15 + 27 + 10*u**3 - 5*u**3 + 5*u - 11. Suppose 0 = -k - 4*d - 0 + 4, k + d + 2 = 0. Let m(b) = 14*b**3 + 14*b + 3. What is k*m(g) + 11*v(g)?
-g**3 - g - 1
Let q(s) = -s**2 - 10*s**2 - 4 + 4*s + 8*s**2. Let a(g) = 6*g**2 - 9*g + 9. Calculate 4*a(w) + 9*q(w).
-3*w**2
Let j(f) = 1. Let k(x) = 34*x + 3. Determine 5*j(a) - k(a).
-34*a + 2
Suppose -d + 5 + 1 = 0. Let a(o) = -o + 3. Let z be a(d). Let c(i) = -i**2 - 3*i - 1. Suppose 2 - 1 = -b. Let u(s) = s**2 + s + 1. Calculate b*c(v) + z*u(v).
-2*v**2 - 2
Let n(l) be the first derivative of l**3/3 + l**2/2 + l + 48. Let u(r) be the second derivative of -7*r**4/12 - r**3 - 5*r**2/2 - r. Give -5*n(c) - u(c).
2*c**2 + c
Let y(w) = 5*w**2 + 11*w. Let c(g) = -6*g**2 - 12*g. Determine -4*c(p) - 5*y(p).
-p**2 - 7*p
Let a(o) = 14*o**2 - 5*o + 2*o + 1 + 18*o**2 - 28*o**2. Let h(s) = 3*s**2 - 2*s + 1. Give 4*a(l) - 5*h(l).
l**2 - 2*l - 1
Let u(h) = -6*h - 3. Let o(s) = 13*s + 7. Suppose 4*c = 2*q + 2, 0*q + 1 = 4*c - q. Suppose -4*f + 12 + 0 = c. Give f*o(j) + 7*u(j).
-3*j
Let o(q) = 4*q + 35. Let l(z) = -z - 9. Calculate -9*l(s) - 2*o(s).
s + 11
Let j(k) = -5*k**3 - 13*k**2 + 8*k - 13. Let g(r) = 2*r**3 + 6*r**2 - 4*r + 6. Calculate -13*g(w) - 6*j(w).
4*w**3 + 4*w
Let d(h) = -4. Let t(i) = -1. Let f(x) = -d(x) + 3*t(x). Let c(v) = -v**2 - 6*v - 4. Let j be c(-6). Let k(s) = -s - 4*s + 6*s - 3. Calculate j*f(y) - k(y).
-y - 1
Let o(k) = 4*k**2 - k + 5. Let p(h) = -28*h**2 + 8*h - 36. Let d(v) = 7*v**2 - 2*v + 9. Let r(w) = -9*d(w) - 2*p(w). Calculate -11*o(l) - 6*r(l).
-2*l**2 - l - 1
Let q(k) = 7*k - 8. Let a(j) = 6*j - 7. Suppose 0 = 2*c - 21 + 5. Let y be ((-2)/(-6))/(c/144). Give y*a(t) - 5*q(t).
t - 2
Let n(p) = -1. Let z(i) = i + 8. Suppose -2*h = c + 3, h - 3*c + c = 1. Let r(a) = -a**2 - 13*a + 8. Let o be r(-14). What is h*z(u) + o*n(u)?
-u - 2
Let b(v) = 5*v**3 - 3*v**2 - 3*v - 6. Let l(u) be the third derivative of u**6/20 - u**5/15 - u**4/6 - 7*u**3/6 - 5*u**2. Determine 4*b(p) - 3*l(p).
2*p**3 - 3
Let d(y) = -y**2 - y. Let k(j) = -22*j**2 - 8*j - 2. Determine 8*d(t) - k(t).
14*t**2 + 2
Let c(g) = 14*g - 17. Let x(m) = 5*m - 6. Determine 3*c(w) - 8*x(w).
2*w - 3
Let m(a) = 5*a + 1. Let x(g) = 14*g + 2. Suppose 3*d = 2*s - d + 8, 5*s = -2*d + 16. Suppose 8 = 4*u - k, s*u + 2*k + 7 = 7*u. Give u*x(j) - 8*m(j).
2*j - 2
Let b(x) = 4*x - 6. Suppose -6 - 14 = -4*d. Let j(i) = 3*i - 5. Give d*j(n) - 4*b(n).
-n - 1
Let t(k) = -k**3 + k**2 - k - 1. Let a = -87 + 85. Let l(b) = 2*b**2 - 3. Determine a*t(j) + l(j).
2*j**3 + 2*j - 1
Let w(h) = h**3 + 4*h**2 - 4*h - 2. Let k(a) = -3 - 2*a + 45*a**3 - 3*a + 0*a + 5*a**2 - 44*a**3. Give 4*k(n) - 5*w(n).
-n**3 - 2
Let s(l) = -5*l**2 + 11*l - 7. Let g(x) = -x**2 + x - 1. Give 6*g(a) - s(a).
-a**2 - 5*a + 1
Let g(d) = -75*d**2 + 3*d + 37*d**2 + 36*d**2. Let h(b) = -2*b**2 + 2*b. Calculate 2*g(u) - 3*h(u).
2*u**2
Let o(m) = m**2 + 3*m. Let q(x) = -2*x. Let s be (-660)/(-228) - 2/(-19). Give s*q(f) + 2*o(f).
2*f**2
Let t(v) = -3*v**2 + 4*v - 7. Let s(l) = -l**2 + 2*l - 4. Determine -5*s(q) + 3*t(q).
-4*q**2 + 2*q - 1
Suppose 2*f + 15 = -v + 4, -4*f - 28 = 4*v. Let k(b) be the second derivative of -b**5/20 + b**3/3 + 3*b. Let g(u) = -u**3 + 3*u. What is v*k(h) + 2*g(h)?
h**3
Let n(y) = 3*y**3 + 2*y**2 - 5*y - 1. Let j(u) = -3*u**3 - 3*u**2 + 6*u + 1. Calculate -2*j(p) - 3*n(p).
-3*p**3 + 3*p + 1
Let o(n) = -5*n**2 - 2. Let k(i) = 