21. Let v(x) = 3*x**2 - 2*x - 3. Suppose -2*c - 2*g + 6*g = 38, -2*g + 64 = -4*c. Calculate c*v(n) - 2*o(n).
-3*n**2 + 3
Let q(f) = -8*f + 3. Let n(k) = 51*k - 16. What is -6*n(v) - 39*q(v)?
6*v - 21
Let z(o) = -3*o**2 + 5*o + 5. Suppose 82 - 19 = 9*t. Let d(l) be the first derivative of 4/3*l**3 - 10 - 7/2*l**2 - t*l. Calculate -5*d(b) - 7*z(b).
b**2
Let c(x) = x - 231. Let z(w) = 3*w - 693. Determine -7*c(q) + 2*z(q).
-q + 231
Let j(w) = 19*w**3 - 2*w - 2. Let b(s) = 109*s**2 + 174*s**2 + s**3 - 283*s**2 + 1 + s. Calculate -2*b(v) - j(v).
-21*v**3
Let y(a) = -11*a - 2. Let l be (-1 - 1)*-1 - -2. Suppose 9*d + 15 = l*d. Let i(z) = -5*z - 1. Determine d*y(n) + 7*i(n).
-2*n - 1
Let a be 17/4 + (-6)/(-8). Let p(k) be the second derivative of -k**4/4 - 2*k**3/3 + 5*k**2/2 + 19*k. Let f(i) = 3*i**2 + 5*i - 6. Determine a*f(x) + 6*p(x).
-3*x**2 + x
Let y(k) = -4*k + 4*k**2 - 67 + 67. Let w(t) = 7*t**2 - 7*t. Give 3*w(j) - 5*y(j).
j**2 - j
Let h(q) be the first derivative of -5*q**4/4 - 2*q**3 + 6*q - 176. Let c(r) = -11*r**3 - 13*r**2 + 13. Let f be 78/2*(-1)/(-3). Determine f*h(i) - 6*c(i).
i**3
Let s = -612 + 621. Let d(f) = -13*f + 17. Let n(i) = 3*i - 4. Give s*n(l) + 2*d(l).
l - 2
Let s(w) = 6*w + 47. Let u be s(-9). Let c(i) = 5*i + 2. Let x(r) = -6*r - 2. Give u*c(h) - 6*x(h).
h - 2
Suppose 0 = -3*l - 4*i + 27, 0*l - i = -l + 2. Let n(w) = -10 + 15*w**2 - 4*w - l - 11*w + 10*w**3. Let z(u) = u**3 + u**2 - u - 1. Give n(j) - 15*z(j).
-5*j**3
Let h(a) = a**2 + a - 1. Let y(t) = 14*t**3 - 28*t**2 - 35*t + 21. Let s(j) = 28*h(j) + y(j). Let u(n) = -7*n**3 + 3*n + 3. Calculate -3*s(v) - 7*u(v).
7*v**3
Let w(z) = 287*z**3 + 2*z**2 - 2. Let r(y) = -y**3 + y**2 - 1. Determine 6*r(x) - 3*w(x).
-867*x**3
Let m be -1 + (8 + -1)*1. Let t(p) be the third derivative of p**5/20 + 17*p**3/6 - 371*p**2. Let n(d) = -d**2 - 6. Give m*t(l) + 17*n(l).
l**2
Let z(s) = 137*s. Let a(i) = -2*i. What is 2*a(g) + z(g)?
133*g
Let q(f) = 2*f + 2. Let u(h) = 1. Let t(w) = -4. Suppose -2*a + 6 = -0. Let i(l) = a*u(l) + t(l). Let z(c) = -2*c - 6. Let m be z(-4). Determine m*i(g) + q(g).
2*g
Let t(k) = -15*k**2 - 2*k - 5. Let v(y) = 13*y**2 - 149 + 56 + 2*y + 48 + 49 + y**2. Determine 4*t(f) + 5*v(f).
10*f**2 + 2*f
Let f(d) = -d**3 + d**2 + 1. Let y(x) = 64*x**3 - 72*x**2 - 72. Let v = 1652 + -1508. Calculate v*f(u) + 2*y(u).
-16*u**3
Let c(x) = x**3 + 5*x + 5. Let s = 26 - 21. Let q(w) = -w + 4. Let d(z) = -z + 2. Let f(r) = s*d(r) - 3*q(r). Suppose 6 = -4*g + 26. Calculate g*f(k) + 2*c(k).
2*k**3
Suppose -2*y + 13 = -5*z, -8*y - 5*z + 3 = -6*y. Let n(h) be the first derivative of h**3 + h**2 - 3*h - 9. Let o(m) = -2*m**2 - m + 3. Give y*o(k) + 3*n(k).
k**2 + 2*k + 3
Let z(c) = c. Let w(s) be the second derivative of s**3/2 - s**2/2 + 29*s. What is w(g) - 4*z(g)?
-g - 1
Let c be 1*(-3 - -1 - -7). Let i(s) = -s - s**2 + 5*s**2 - 4*s. Let z(u) = -5*u**2 + 6*u. Let g = -35 - -41. What is c*z(f) + g*i(f)?
-f**2
Let r(f) = -7*f - 3. Suppose -9 = -0*z - 3*z. Let n(k) = -36*k - 16. What is z*n(d) - 16*r(d)?
4*d
Let v(y) = 67*y - 40. Let n(i) = 45*i - 27. Let h(p) = -7*n(p) + 5*v(p). Let r(m) = -4*m + 2. What is -2*h(x) - 11*r(x)?
4*x
Suppose 0 = -u - u - 2. Let i(d) = -d**2 - d + 1. Let b(x) = 4*x**2 + 12*x - 6. Calculate u*b(l) - 6*i(l).
2*l**2 - 6*l
Let a(o) = 8*o**2 - 3. Let q(b) = -b**3 + 7*b**2 + 9. Let n be q(7). Suppose 18*h - 15*h + n = 0. Let s(v) = -55*v**2 + 20. Give h*s(k) - 20*a(k).
5*k**2
Let y(n) = 14*n**3 - 5*n**2 + 11. Let t(l) = 9*l**3 + 3 + 4 - 118*l**2 + 115*l**2. Calculate -8*t(h) + 5*y(h).
-2*h**3 - h**2 - 1
Let u(g) = 4*g**2 + 85*g + 3. Let x(q) = 2*q**2 + 44*q + 1. Determine 3*u(a) - 7*x(a).
-2*a**2 - 53*a + 2
Suppose 0 = 11*y - 6*y + 10. Let b(p) = -4*p + 1. Let v(d) be the third derivative of 7*d**4/8 - 5*d**3/6 - 5*d**2. Calculate y*v(z) - 11*b(z).
2*z - 1
Let i(c) = -53*c**2 - 41*c**2 - 54*c**2 + 145*c**2. Let y(f) = -5*f**2 - 1. Calculate 5*i(k) - 2*y(k).
-5*k**2 + 2
Let f(k) be the second derivative of -k**4/12 + 2*k**2 + 2*k + 8. Let w(u) = 1. Give 3*f(a) - 12*w(a).
-3*a**2
Let a(h) = 17*h - 7. Let s(d) = 4*d - 2. Let j(x) = 20*x + 78. Let l be j(-4). Give l*a(q) + 9*s(q).
2*q - 4
Let d(p) = -p + p - 3*p. Let t(n) = -n. Suppose -42*x = -34*x + 2 + 6. Calculate x*d(g) + 2*t(g).
g
Let y(d) = 7*d + 27. Let w(m) = -6*m - 28. Determine -3*w(h) - 4*y(h).
-10*h - 24
Let z(k) = k**3 + 21*k**2 + 3*k + 72. Let i be z(-21). Let c(w) = 5*w**3 - 9*w**2 + 9*w - 9. Let u(l) = 2*l**3 - 5*l**2 + 4*l - 4. Calculate i*u(v) - 4*c(v).
-2*v**3 - 9*v**2
Let r(a) = 104*a**3 + 2*a**2 - 8*a - 4. Let x(c) = -c**3 + c**2 - 2*c - 1. Calculate r(m) - 4*x(m).
108*m**3 - 2*m**2
Let d(f) be the second derivative of 4*f + 0*f**2 - 1/4*f**4 - 2/3*f**3 + 0. Let l(h) = -h**2 - h. Let m be -5*-2*3/15. What is m*d(q) - 7*l(q)?
q**2 - q
Let c(z) = 3*z - 9. Let m be c(8). Let v(s) = 15 - s - m. Let u(o) = -3*o. Let t(w) = 5*w**3 + 2*w + 1. Let l be t(-1). What is l*v(r) + u(r)?
3*r
Let h(o) = 20*o**3 - 48*o**2 - 17*o. Let n(u) = 7*u**3 - 16*u**2 - 6*u. Suppose 14*f - 9*f - 2*k - 28 = 0, 2 = 2*k. What is f*h(m) - 17*n(m)?
m**3 - 16*m**2
Let a(f) = 0 + 180*f + 0 - 179*f + 1. Let q(s) = 2*s + 3. Give 5*a(t) - 3*q(t).
-t - 4
Let o(b) = -2*b - 1. Let m(p) = 1. Let n(x) = 3*x**3 + 10*x**2 + 4*x + 2. Let l be n(-3). What is l*o(j) + 2*m(j)?
2*j + 3
Let u(i) = -7*i**3 + 4*i**2 - 5*i + 4. Let o(v) = -7*v**3 + 5*v**2 + v + 5. Determine -4*o(z) + 5*u(z).
-7*z**3 - 29*z
Let b(f) be the third derivative of -f**6/40 + f**5/20 - f**4/8 + f**3/2 - 4*f**2 - f. Let d(x) = 4*x**3 - 2*x**2 + 2*x - 2. Determine 2*b(v) + 3*d(v).
6*v**3
Let x(h) be the third derivative of h**5/20 + 5*h**3/6 - h**2. Let a be -2*(-1)/(-2)*(-1 - 4). Let v(o) = 23 + 18 - 40. Determine a*v(m) - x(m).
-3*m**2
Let r(u) = 10*u**3 - 31*u + 7. Let c(i) be the first derivative of -3*i**4/4 + 5*i**2 - 2*i - 62. Calculate -7*c(o) - 2*r(o).
o**3 - 8*o
Let h(a) = 752*a**2 + 88*a - 44. Let m(l) = l**2 + 2*l - 1. Determine 2*h(d) - 88*m(d).
1416*d**2
Let m(k) = k - 1. Let a(q) = q**3 + 11*q**2 - 102*q + 1. Let f be a(-17). Let d(c) = 14*c - 10. Give f*d(u) - 12*m(u).
2*u + 2
Let y(w) be the second derivative of -7*w**4/12 + w**3/6 - 3*w**2 + 16*w - 4. Let u = 14 + -21. Let k(s) = -8*s**2 + s - 7. Give u*y(f) + 6*k(f).
f**2 - f
Suppose 6*i + 24 = 14*i. Let a(x) = -5*x + 3. Let s(c) = -56*c + 32. Give i*s(o) - 32*a(o).
-8*o
Let g(p) = -64*p**3 + 55*p**2 + 49. Let x(f) = -65*f**3 + 55*f**2 + 50. Let m(q) = 5*g(q) - 6*x(q). Let d(o) = -5*o**3 + 4*o**2 + 4. What is -55*d(u) - 4*m(u)?
-5*u**3
Let g(x) = 0*x**2 + 2*x - 8 + 8*x**2 + 0. Let f(t) = 0*t + 9 - 3*t**2 - 2*t - 6*t**2. Suppose -2*u + u - 6 = 0. Determine u*f(r) - 7*g(r).
-2*r**2 - 2*r + 2
Suppose -8*g + 111 = 71. Let b(y) = -3*y**3 + 5*y**2 + 5. Let p(o) = -o**2 - 1. What is g*p(t) + b(t)?
-3*t**3
Let c(b) = -5*b**3 - 5*b**2 + 6*b - 4. Let k(y) be the second derivative of -3*y**5/10 - y**4/3 + 7*y**3/6 - 5*y**2/2 - 580*y. Determine -5*c(w) + 4*k(w).
w**3 + 9*w**2 - 2*w
Suppose 143*c - 152*c = -36. Let o(l) = -2*l + 7. Let n(d) = -3. Let a(q) = -1. Let m(k) = 8*a(k) - 3*n(k). Give c*m(h) - o(h).
2*h - 3
Let x(g) = 14*g + 11. Let w = -161 - -158. Let r(p) = -5 - 4 + p + 5 - 6*p. Determine w*x(n) - 8*r(n).
-2*n - 1
Let x(k) = -27. Let t(h) = 4*h + 107. What is -2*t(g) - 9*x(g)?
-8*g + 29
Suppose 12*l + 7 = 31. Let j(x) = 5 - x - x + 6*x - 4. Let s(c) = c. Determine l*s(z) - j(z).
-2*z - 1
Let d(p) = -2*p**3 + p**2 + 9*p + 7. Let o(g) = -7*g**3 + 3*g**2 + 27*g + 20. Calculate -17*d(r) + 6*o(r).
-8*r**3 + r**2 + 9*r + 1
Suppose 48 = -0*q + 12*q. Suppose 0 = -0*l + 2*l + 6. Let w(m) = -4*m - 3. Let z(a) = -4*a - 4. Determine l*z(k) + q*w(k).
-4*k
Let r(i) = 2*i - 2*i + 20 - 2*i. Let u be r(4). Let n be 0 + -2 - (1 - 5). Let b(m) = m. Let f(a) = -8*a. What is n*f(o) + u*b(o)?
-4*o
Let k(g) = g**2 + g + 1. Let w(c) = 3*c**2 + 10*c - 6. Give 2*k(v) - w(v).
-v**2 - 8*v + 8
Let k(z) = -2*z - 8. Let n(r) = r**3 - 2. Let h be n(2). Let i(c) = 2*c + 9. Suppose -321*l + 269*l = -260. Give h*k(v) + l*i(v).
-2*v - 3
Let k(q) = q - 1. Let b(z) be the third derivative of 5*z**4/24 - 2*z**3/3 + 742*z**2. Give b(v) - 6*k(v).
-v + 2
Let y = 708 + -703. Let w(k) = 9*k**3 + 5*k**2 + 3*k + 5. Let v(n) = -n**2 - n