*q. What is b*g(x) - 6*v(x)?
-2*x - 1
Let q(h) = 46*h + 8. Let u(f) = -23*f - 5. Calculate 3*q(a) + 5*u(a).
23*a - 1
Let j(r) = r**2 + 4*r - 1. Let f(g) = -24*g**2 + 17*g - 3. Calculate f(m) - 4*j(m).
-28*m**2 + m + 1
Let h(o) = 4*o**3 - 7*o**2 + 4*o - 5. Let n(x) be the first derivative of -3*x**4/2 + 11*x**3/3 - 3*x**2 + 8*x - 286. Give -8*h(k) - 5*n(k).
-2*k**3 + k**2 - 2*k
Suppose 33*w - 36*w = 4*x + 11, 3*x = -2*w - 7. Let h(g) = 18*g**3 + 6*g + 6. Let o(t) = -17*t**3 - 5*t - 5. What is w*h(j) - 6*o(j)?
12*j**3
Let r(j) = -j**2 - 7*j - 1. Let y be r(-6). Let x(o) = -2*o**2 - o - 6. Let i = 0 + 3. Let b(p) = 4*p**2 + 2*p + 11. What is i*b(h) + y*x(h)?
2*h**2 + h + 3
Let m(v) = 7*v**2 - 6. Let z(d) = 20*d**2 + 5*d - 18. Let o(c) = -21*c**2 + 9 - 10 + 0*c + 20 - 6*c. Let h(y) = -5*o(y) - 6*z(y). Determine 6*h(k) + 13*m(k).
k**2
Let d(q) = 19*q + 800. Let j(r) = -7*r - 267. Give -4*d(a) - 11*j(a).
a - 263
Let d(l) = -l**2 - 2*l + 3. Suppose -k = -i, -2*k = -4 - 2. Let y be 8/i + (-4)/6. Let g(v) = v - 1. Let b = 28108 - 28107. What is b*d(a) + y*g(a)?
-a**2 + 1
Let r(g) = 19 + 0*g**2 - g**3 - 4*g - 2*g + 14 - 27 - 6*g**2. Let t(i) = -i**3 - 5*i**2 - 7*i + 5. What is -5*r(q) + 6*t(q)?
-q**3 - 12*q
Let a(u) = -3*u + 9. Let l(z) = -z + 1. Let r(c) = a(c) - 6*l(c). Let f(b) = -3*b - 4. What is 2*f(t) + 3*r(t)?
3*t + 1
Let a be 4*3/12 + -5. Let o be (1 + 25/(-15))*(-6)/a. Let i(g) = g + 1. Let q(x) = 4*x + 2. Calculate o*q(n) + 3*i(n).
-n + 1
Let t(k) be the second derivative of k**4/4 - k**3/6 + k**2/2 - 187*k. Let d(u) = -1. What is -2*d(m) - t(m)?
-3*m**2 + m + 1
Let i(q) = -q + 3. Let r = 101 - 97. Let d(b) = -b + 3. What is r*i(y) - 5*d(y)?
y - 3
Let d(c) = 3*c - 9. Let k(y) = -1. Let x = -74 - -68. Calculate x*k(p) + d(p).
3*p - 3
Let t(a) = -a**2 - 1. Suppose 0 = -6*c - 2*c + 24. Let l(j) = -c*j - 6 - 3*j**2 - 15 + 17. Determine -l(d) + 4*t(d).
-d**2 + 3*d
Let s(v) = 21*v**2 - 25*v + 11. Suppose 2*u + f - 9 = 0, -u + f = -f + 8. Let h(p) = 4*p**2 - 5*p + 2. Calculate u*s(y) - 11*h(y).
-2*y**2 + 5*y
Suppose 3*n = -4*v - 19, 3*v - 8*v + 20 = -5*n. Suppose -7*b = -2*b - 55. Let z(s) = 16 - 4 - b. Let u(y) = -y**2 - 2*y + 5. Determine n*z(j) + u(j).
-j**2 - 2*j
Let a(y) = 1 - 35*y - 33*y + 69*y. Let h(x) = -x - 3. Give -2*a(w) - h(w).
-w + 1
Let o(w) = -17*w**2 - 8*w. Let g(b) = 32*b**2 + 16*b. Give 3*g(v) + 5*o(v).
11*v**2 + 8*v
Let r(o) = 2*o**2 + 6*o - 2. Let u be r(-3). Let d(x) = x - 3. Let j(n) = -2*n + 16. Let v(p) = -5*p + 31. Let k(y) = -5*j(y) + 3*v(y). Give u*k(g) - 9*d(g).
g + 1
Let p(g) = -5*g + 110. Let m be p(23). Let q(j) = 7*j + 1. Let n(v) = 6*v + 1. What is m*n(x) + 4*q(x)?
-2*x - 1
Let h(q) = 19*q**3 + 9*q**2 - 10*q - 2. Let o(v) = -19*v**3 - 12*v**2 + 11*v + 2. Give 4*h(x) + 3*o(x).
19*x**3 - 7*x - 2
Suppose 0 = 3*z - 0*z - 30. Suppose z*m + 9 = -31. Let b(v) = 6*v - 1. Let x(r) = -r - 1. Calculate m*x(y) - b(y).
-2*y + 5
Let a(l) = 175*l**2 - 4*l + 5. Let r(k) = -350*k**2 + 7*k - 9. Calculate -7*a(m) - 4*r(m).
175*m**2 + 1
Let i(b) = 8*b**3 - 10*b**2 - 4*b - 3. Let h(a) = -a**3 + a**2 + 2*a + 1. What is 2*h(y) + i(y)?
6*y**3 - 8*y**2 - 1
Let a(p) = -13*p**3 - 3*p**2 - 7*p + 6. Let u(v) = 15*v - 62. Let o be u(4). Let f(q) = 4*q**3 + q**2 + 2*q - 2. What is o*a(y) - 7*f(y)?
-2*y**3 - y**2 + 2
Let h(j) = -5*j**3 + 4*j**2 + 3. Let s(q) = 3*q**3 - 3*q**2 - 2. Suppose -7*l - 6*l = -104. Determine l*s(c) + 5*h(c).
-c**3 - 4*c**2 - 1
Let c(b) = 19*b - 22. Let t(m) = 2*m - 4. Give c(o) - 6*t(o).
7*o + 2
Let k(d) = 3*d + 7. Suppose -o + 2*l + 3 = 9, 2*o + 2*l - 18 = 0. Let r(n) = -n - n + 3*n - 1 + 2. What is o*r(a) - k(a)?
a - 3
Let o(l) = 9*l**3 - 35*l**2 + 5. Let y(g) = 4*g**3 - 17*g**2 + 2. Give -2*o(s) + 5*y(s).
2*s**3 - 15*s**2
Let t(v) = -v + 1. Let f(q) = 8*q + 6*q**2 - 4*q**2 + 4 + 2*q**2 - 12. Give -f(s) - 8*t(s).
-4*s**2
Let c(o) = 198*o**3 + 55*o**2 + 55*o. Let a(h) = -h**3 - h**2 - h. Calculate 110*a(y) + 2*c(y).
286*y**3
Let z(k) = 135*k**3. Suppose 6*p = -6*p + 120. Let r be (-114)/(-2) - (p + -8). Let j(b) = 5*b**3. Calculate r*j(c) - 2*z(c).
5*c**3
Let g(s) = -6*s + 3. Let p(l) = 19 - 43 + 3*l + 22. Give -3*g(c) - 5*p(c).
3*c + 1
Let p = -45 + 49. Let k(s) = 20*s**3 - 14*s + 17. Suppose 4 = x + 1, -b - 4 = -5*x. Let v(h) = -7*h**3 + 5*h - 6. What is b*v(n) + p*k(n)?
3*n**3 - n + 2
Let n(c) = -c**2 + c. Let g(s) = 115*s - 57*s + 2*s**2 - 3*s**3 - s**3 - 60*s. Give -g(b) - 2*n(b).
4*b**3
Let r(x) = 5*x**3 + 13*x**2 - 17*x - 7. Let v(h) be the second derivative of -h**5/10 - h**4/2 + 4*h**3/3 + 3*h**2/2 + 270*h. Determine 6*r(b) + 13*v(b).
4*b**3 + 2*b - 3
Let i(a) = -a + 1. Let o(j) = 16 - 5 - 4 - 9 + 1. What is 3*i(t) + 4*o(t)?
-3*t - 1
Let k(m) = 7*m + 13. Let v(y) = -3*y - 6. Let u(w) = w**3 + 14*w**2 + 10*w - 15. Let z be u(-13). Suppose 2*c + 12 = z. Calculate c*k(l) + 13*v(l).
3*l
Let b(u) = -u**2 + 4*u + 6. Let q(t) = -2*t**2 + 9*t + 13. Suppose 2*y + 2*y + 2*p + 48 = 0, -3*y - 4*p = 31. What is y*b(d) + 6*q(d)?
d**2 + 2*d
Let a(w) = -9*w**2 - 20*w - 9. Let n(t) = -5*t**2 - 10*t - 5. Calculate 4*a(d) - 7*n(d).
-d**2 - 10*d - 1
Let s(z) = -2*z - 2 + 4*z - 3 + 3. Let m(h) = h + 0 - 3 + 2. Let l(g) = g**2 - 9*g - 16. Let t be l(11). Give t*m(c) - 2*s(c).
2*c - 2
Let t(c) = -3*c - 3. Let n(k) = -886*k - 9. Determine n(l) - 3*t(l).
-877*l
Let t(b) = -114*b - 6. Let h(o) = -457*o - 26. Determine 2*h(g) - 9*t(g).
112*g + 2
Suppose -28*a + 25*a - 51 = -2*r, -3*r = -18. Let s = -5 - -11. Let j(p) = -5*p**2 - p + 1. Let f(n) = -11*n**2 - 2*n + 2. What is a*j(z) + s*f(z)?
-z**2 + z - 1
Let a(g) = 9*g**2 + 82*g - 4. Let b be a(-9). Let x(k) = -26*k + 13. Let m(v) = 9*v - 4. Calculate b*m(z) - 4*x(z).
-13*z
Suppose 5*d - 451 = 414. Let l = d + -174. Let x(m) be the third derivative of -m**5/12 - m**3/6 + m**2. Let s(u) = -u**2. Calculate l*x(i) + 4*s(i).
i**2 + 1
Let z(n) = -2*n**2 - n + 1. Let i(k) = 47*k**2 - 3*k + 2. What is -i(j) + 3*z(j)?
-53*j**2 + 1
Let w(i) be the third derivative of -i**4/24 + i**3/6 - 2*i**2 - 141*i. Let n(g) = -6*g + 5. Give -n(u) + 2*w(u).
4*u - 3
Let d(k) = 74*k - 9. Let z(b) = 150*b - 19. Give 13*d(y) - 6*z(y).
62*y - 3
Let m(b) = -2*b**3 - 3*b**2 - 5*b. Let a(j) = -2*j**3 - 4*j**2 - 6*j + 1. Let h be (-32)/4*(-2)/20*-5. Give h*m(i) + 3*a(i).
2*i**3 + 2*i + 3
Let h(n) be the first derivative of -n**4/4 + n**3/3 + n**2/2 + 403. Suppose 0*r - 5 = 5*r. Let x(a) = -a**3 + 2*a**2 + a. What is r*x(w) + 2*h(w)?
-w**3 + w
Let q(f) = f. Let t(n) be the second derivative of 0 + 2/3*n**3 + 1/12*n**4 + 22*n - 1/2*n**2. Calculate 6*q(x) - t(x).
-x**2 + 2*x + 1
Let y(h) = -h**2 + h + 2. Let t(r) = 72*r**2 - 60*r - 120. What is t(q) + 60*y(q)?
12*q**2
Let r(g) = -5*g + 328. Let w(b) = b - 33. Let l(z) = r(z) + 10*w(z). Let v(a) = 4*a - 2. Suppose q + 10 = -p, -q + 2*p = p. Calculate q*l(m) + 6*v(m).
-m - 2
Let v(r) = r**3 + 2*r**2 - 4*r. Let b(h) = -3*h**2 + 5*h. Give 2*b(w) + 3*v(w).
3*w**3 - 2*w
Let l(o) = -8*o**3 - 10*o**2 + 2*o + 11. Let t(z) = -9*z**3 - 13*z**2 + 3*z + 12. Give -5*l(j) + 4*t(j).
4*j**3 - 2*j**2 + 2*j - 7
Let q(c) = 17*c**2 + 16*c - 30. Let j(h) = 3*h**2 + 3*h - 6. Calculate -22*j(l) + 4*q(l).
2*l**2 - 2*l + 12
Let f(r) = -181*r - 31. Let y(j) = 60*j + 11. Give 6*f(i) + 17*y(i).
-66*i + 1
Let h(s) = -3*s. Let x(v) be the second derivative of 10*v - 5*v**2 + 0 + 1/12*v**4 + 5/6*v**3. Let p be x(-7). Let j(i) = -2*i. Determine p*h(o) - 5*j(o).
-2*o
Let l(k) = -2*k**2 + 7*k + 8. Let f(a) be the first derivative of 2*a**3/3 - 4*a**2 - 9*a - 442. Suppose 2*t - 4*t - 12 = 0. Determine t*l(w) - 5*f(w).
2*w**2 - 2*w - 3
Let l(x) = x - 1. Let z(y) = -16. Calculate -2*l(j) - z(j).
-2*j + 18
Let r(w) = 4*w + 1. Let v(j) = -16*j + 31. What is -6*r(x) - v(x)?
-8*x - 37
Let z(s) = 72*s - 14. Let h(w) = -18*w + 3. Calculate 9*h(j) + 2*z(j).
-18*j - 1
Let a(b) = 65*b**3 - 5*b + 10. Let r(g) = -1106*g**3 + 84*g - 168. What is -84*a(k) - 5*r(k)?
70*k**3
Let f(y) = -y - 1. Let q(h) = 21*h + 24. Suppose 31*b = 47*b + 1152. Determine b*f(u) - 3*q(u).
9*u
Let w(y) = -y**2 + y - 1. Let i(b) = 6*b**2 + 15*b + 4. Calculate i(q) + 4*w(q).
2*q**2 + 19*q
Let f be 5 - 0*(-4)/12. Suppose -l - f = -2. Let q be (6/(-4))/(3/4). Let j(x) = -x**2 - 2*x. Let u(i) = 2*i**2 + 3*i. Calculate l*j(b) + q*u(b).
-b**2
Let b