 first derivative of 2*z**2 + 3381. Give a*x(i) + w*q(i).
-4*i**3
Let d(i) be the first derivative of 2*i**3 + 3*i**2/2 + 2*i - 950. Let g(x) = -23*x**2 - 13*x - 9. Determine -9*d(t) - 2*g(t).
-8*t**2 - t
Let d(o) = 8*o**2 - 3*o - 3. Let w(m) = m**2 - 1. Suppose 76*z + 2440 = 86*z. Let a = 245 - z. Determine a*d(h) - 5*w(h).
3*h**2 - 3*h + 2
Let h(q) = -6*q - 523. Let i(s) = -5*s - 523. Determine 4*h(x) - 5*i(x).
x + 523
Let m(b) = -b**3 + 11*b**2 + b + 6. Let d(f) = -214*f + 441. Let h be d(2). Let r(p) = -2*p**3 + 23*p**2 + 2*p + 13. What is h*m(s) - 6*r(s)?
-s**3 + 5*s**2 + s
Let v(u) = -5*u**3 + u**2 - 3*u + 16. Let w(k) = 3*k**3 + 4*k - 15. Determine 2*v(s) + 3*w(s).
-s**3 + 2*s**2 + 6*s - 13
Let g(a) = -8116*a**3 + 26*a**2 + 26*a + 104. Let b(v) = 902*v**3 - 3*v**2 - 3*v - 12. Calculate -52*b(k) - 6*g(k).
1792*k**3
Let h(m) = 3*m**3 - 78*m**2 + 6*m - 23. Let x(s) = -s**2 + 2*s - 6. What is -h(k) + 3*x(k)?
-3*k**3 + 75*k**2 + 5
Let h(l) = -12*l**2 - 11*l + 11. Let m(r) = 62*r + 1 + 66*r - 129*r - r**2. Let f = 160 - 138. Determine f*m(w) - 2*h(w).
2*w**2
Let n(i) = -7*i**2 + 40*i. Let t(w) = 6*w**2 - 42*w. Determine -2*n(p) - 3*t(p).
-4*p**2 + 46*p
Suppose 29 = -5*w + 3*l, -5*w - l = 46 - 9. Let x(y) = -17*y + 0 + 6 + 1 + 18*y. Let a(v) be the first derivative of -v**2 - 10*v + 1971. Give w*x(k) - 5*a(k).
3*k + 1
Let u(q) = 8*q + 2. Let f = -651 - -650. Let z(g) = g. Suppose -17*l + 8 = -15*l. Determine f*u(m) + l*z(m).
-4*m - 2
Let l(d) = 148*d - 1. Let c be l(0). Let x(w) = -10*w**3 - 30*w**2 + 30*w + 30. Let s(p) = -p**3 - p**2 + p + 1. Give c*x(j) + 30*s(j).
-20*j**3
Let a(f) = f**3 + f**2 - f - 1. Let m(x) be the third derivative of 14*x**6/15 + 7*x**5/5 - 7*x**4/2 - 14*x**3 - 2213*x**2. Give -84*a(k) + m(k).
28*k**3
Let u(n) = 15*n - 8. Suppose 64*a = 943 - 111. Let s(h) = 7*h - 4. Give a*s(v) - 6*u(v).
v - 4
Let u(z) = -4*z + 3. Let g(d) = 11*d + 187. Give -g(j) - 3*u(j).
j - 196
Let p(k) = 2088*k**2 - 145. Let l(v) = v**2 - 1. Give 145*l(b) - p(b).
-1943*b**2
Let u(w) = -3*w**2 + 2. Let k(n) = -9*n**2 + 191. Give k(i) - 5*u(i).
6*i**2 + 181
Let c(x) = 518*x - 4. Let p(h) = -781*h + 6. Calculate -7*c(o) - 5*p(o).
279*o - 2
Suppose 260 = 4*k + 100. Suppose -5*s = -r + 2 + 23, k = -5*s + 4*r. Let i(l) = -l + 1. Let n = -1 + 0. Let d(p) = 2*p - 4. Calculate n*d(v) + s*i(v).
2*v
Let k(y) = -5*y**2 + 4. Suppose 4*m - 8 = -591*g + 589*g, 0 = m + 2*g - 20. Let q(a) = 3 + 11*a**2 - 4 - 7. Determine m*q(f) - 9*k(f).
f**2 - 4
Let i(u) = -5*u**2 + 16*u + 2. Let f(o) = -11*o**2 + 29*o + 5. Let j(r) = 31*r**2 - 82*r - 14. Let w(d) = -17*f(d) - 6*j(d). What is -i(h) - 2*w(h)?
3*h**2 - 14*h
Let i(d) be the second derivative of 99*d - 1/5*d**5 + 1/2*d**3 - 1/2*d**2 + 2 + 0*d**4. Let x(u) = -u**3 - u**2 + u. Determine -i(a) + 3*x(a).
a**3 - 3*a**2 + 1
Let m(z) = -12*z**2 + 5*z + 2. Let y(x) = 31*x**2 - 15*x - 6. Let h(r) = -17*m(r) - 6*y(r). Let b(a) = 19*a**2 + 6*a + 3. What is -4*b(f) + 5*h(f)?
14*f**2 + f - 2
Let c(j) = -j**3 - 5*j**2 - 6*j - 4. Suppose -6*i + 237 = 177. Let w(a) = -3*a + 5 + 6307*a**3 + i*a + 6*a**2 - 6305*a**3. Give -5*c(v) - 4*w(v).
-3*v**3 + v**2 + 2*v
Let l be (-234)/(-52)*2/3. Let a(d) = -2*d**3 - 3*d - 12. Let o(c) = -5*c**3 - 8*c - 37. Give l*o(f) - 8*a(f).
f**3 - 15
Let j(n) be the second derivative of 8*n**5/5 + n**4/4 + n**3/2 - 3*n**2/2 - 463*n + 2. Let k(v) = -160*v**3 - 14*v**2 - 14*v + 14. Determine 14*j(y) + 3*k(y).
-32*y**3
Let y(m) = -8*m**2 + 1249*m + 10. Let k(f) = 4*f**2 - 624*f - 6. Give -5*k(c) - 3*y(c).
4*c**2 - 627*c
Let n = 2 + -1. Let l = 33 + -32. Let x(y) = -2 + 2 - 4 + 3. Let v(a) = -2*a - 1. Determine l*v(j) + n*x(j).
-2*j - 2
Let y(a) = 13*a**3 + a**2 + 9*a - 17. Let i(o) = 21*o**3 + 17*o - 52. Let s(d) = 5*d**3 + 4*d - 12. Let c(t) = -2*i(t) + 9*s(t). Determine 9*c(x) - 2*y(x).
x**3 - 2*x**2 - 2
Suppose -4*q - 3*a + 2 + 1 = 0, -4*q + a - 17 = 0. Let c(p) = 1. Let o(x) = 2*x**3 - x**2 + 5. Determine q*c(l) + o(l).
2*l**3 - l**2 + 2
Let h(v) = -3*v**3 - 2*v**2 + 4*v - 3. Let x(k) be the third derivative of k**6/20 + k**5/15 - 7*k**4/24 + 5*k**3/6 + 71*k**2 - 2. Determine 5*h(s) + 3*x(s).
3*s**3 + 2*s**2 - s
Let q(g) = -2*g**2 + g. Let c(y) = y**2 + 2*y - 5*y**2 - 1 + 2. Let t be -9*(-1)/(-2)*116/174. What is t*c(a) + 7*q(a)?
-2*a**2 + a - 3
Let a(q) = -144*q**2 - 24*q + 24. Let u(p) = -27*p - 24*p**2 - 15*p + 48*p + 5 - 11*p - 5*p**2. Calculate 5*a(z) - 24*u(z).
-24*z**2
Let a(w) = -3*w - 2. Let d(z) = 18*z**3 - 7*z**2 + 20*z + 14. Determine -6*a(c) - d(c).
-18*c**3 + 7*c**2 - 2*c - 2
Suppose 19 = -4*w - 8*p + 7*p, -5*w - 20 = 5*p. Let t(r) = 19. Let b(d) = -d - 39. Calculate w*t(n) - 2*b(n).
2*n - 17
Let a(c) = c**2 - 4*c - 1. Let r(f) = -25*f**2 + 11*f + 2. Give 4*a(p) + r(p).
-21*p**2 - 5*p - 2
Let j(p) = -1360*p - 5 + 1359*p + 10 - 3 - 1. Let d(r) = -2*r - 11. What is -d(o) + 3*j(o)?
-o + 14
Let w(k) = -210*k - 79. Let t(p) = -210*p - 69. Determine 8*t(x) - 7*w(x).
-210*x + 1
Suppose -187 = -4*w + 4*z - 7, -3*w + 5*z + 133 = 0. Let n = 4133 - 4109. Let x(q) = 23 - w + n. Let o(i) = i - 4. Determine -o(k) - 6*x(k).
-k - 2
Let j(f) = f**2 + f. Let a(v) = v**2 + 2*v - 2. Let y be a(-3). Let d(h) = -9*h**2 + 3*h - 2*h**2 - 11*h**2 + 7*h + 35*h**2 - 8*h**2. What is y*d(o) - 6*j(o)?
-o**2 + 4*o
Let x(j) = 58*j - 9. Let i(b) = -165*b + 26. Give -3*i(k) - 8*x(k).
31*k - 6
Let i(g) = -g**3 - 172*g**2 - 10*g + 5. Let b(t) = 4*t**3 + 860*t**2 + 48*t - 24. Give -5*b(o) - 24*i(o).
4*o**3 - 172*o**2
Let r(x) = -x**2. Let k(m) = -74*m**2 + 57*m - 122. Let p(t) = 25*t**2 - 20*t + 43. Let i(f) = 6*k(f) + 17*p(f). Give i(n) - r(n).
-18*n**2 + 2*n - 1
Suppose -3*h - 3*d = 0, 9 = -3*d + 6 - 0. Let l(y) = 1. Let v(f) = 2*f + 4. Calculate h*v(u) - 3*l(u).
2*u + 1
Let w(a) = 3*a**2 - 2*a + 23. Let z(u) = 21 + 21 - 80 + 12 - u**2 + 18 + u. Calculate 4*w(r) + 11*z(r).
r**2 + 3*r + 4
Let i(j) = j + 5. Suppose 0 = -6*k - 3 + 15. Let d(g) be the second derivative of 6*g**k - 7*g**2 + 15*g + 2*g**2. What is -7*d(f) + 3*i(f)?
3*f + 1
Let j be (-78 - -74) + (-2)/1. Let d(u) = -14*u + 2. Let m(o) = -27*o + 4. What is j*m(s) + 11*d(s)?
8*s - 2
Let u(g) = 256*g - 46. Let n(a) = 171*a - 30. Determine -10*n(h) + 7*u(h).
82*h - 22
Let r(v) = 7*v**2 - 93*v. Let y(m) = 40*m**2 - 555*m. Determine 34*r(w) - 6*y(w).
-2*w**2 + 168*w
Let v(d) = 47. Let g(b) = 3*b + 49. Give -3*g(y) + 2*v(y).
-9*y - 53
Let j(z) = -7*z**3 + 7*z**2 + 82*z + 14. Let i(k) = 8*k**3 - 6*k**2 - 79*k - 12. Calculate 7*i(v) + 6*j(v).
14*v**3 - 61*v
Let i(f) = 3*f**2 - 2*f. Let s(a) = 3*a**2 - a + 1. Let t(u) = u**3 + 60*u**2 + 221*u - 9. Let r be t(-4). What is r*s(h) - 2*i(h)?
3*h**2 + h + 3
Let c(h) = 2*h**2 + 2*h - 1. Let f(m) = 20*m**2 + 20*m - 12. Let n(k) = 12*c(k) - f(k). Let x(a) = -5*a**2 - 3*a. Calculate 3*n(z) + 4*x(z).
-8*z**2
Let z = -26 + 18. Let j(d) = 2*d**3 - 3*d**2 - 3*d. Let x(u) = -8*u + 257*u**3 - 128*u**3 - 124*u**3 - 22*u**2 + 14*u**2. What is z*j(h) + 3*x(h)?
-h**3
Let z(x) = -3*x**3 + x**2 - x. Let o(q) = q**3 - q**2. Let a(m) = -m**3 - 7*m**2 - 53*m - 489. Let k be a(-8). Calculate k*z(h) - o(h).
2*h**3 + h
Let z(u) = u**3 - 4*u**2 + 5*u. Let d(h) = 8*h**3 - 28*h**2 - 285*h + 2. Calculate -d(p) + 7*z(p).
-p**3 + 320*p - 2
Let n(a) = -13*a**2 - 3*a + 17. Let w(j) = 47*j**2 + 11*j - 66. Calculate -9*n(i) - 2*w(i).
23*i**2 + 5*i - 21
Let s(d) = 10*d + 223. Let l be s(-22). Let r(k) = -5*k**3 + 50 + 4*k - 2*k**2 - 52 + l*k**3. Let b(f) = -2*f**3 - 3*f**2 + 5*f - 2. Calculate 4*b(x) - 5*r(x).
2*x**3 - 2*x**2 + 2
Let i(o) = 67*o**3 - 9*o**2 + 13. Let g(b) = b**3 - 2*b**2 + 2. Calculate 4*g(r) - i(r).
-63*r**3 + r**2 - 5
Let m(v) = -12*v. Let d(j) = -591*j + 4. Calculate d(t) - 8*m(t).
-495*t + 4
Let d(l) = -3*l**3 + l**2 + 7. Let t(u) be the first derivative of -5*u**4/4 + 2*u**3/3 + 15*u + 574. Determine -7*d(b) + 4*t(b).
b**3 + b**2 + 11
Let l(c) = -2*c + 1. Suppose -3 = -2*k + 1. Let u(p) be the first derivative of -160 + 0*p + 1/2*p**2. Determine k*l(d) + 3*u(d).
-d + 2
Let d(w) = -1. Let s(m) = -12*m**2 - 36*m - 63. Let j(y) = 49*y**2 + 132*y + 251. Let h(o) = -6*j(o) - 22*s(o). What is 120*d(g) - h(g)?
30*g**2
Let g(k) = -5*k**3 - k**2 - 2. Let m(r) = -1. Suppose 0 = -9*b + 11*b + 10, h = -b - 3. Determine h*m(a) - g(a).
5*a**3 + a**