 + 3
Let b(a) = -9*a**2 + 25*a + 4. Let z(w) be the first derivative of 4*w**3/3 - 6*w**2 - 2*w + 2368. Calculate -6*b(x) - 13*z(x).
2*x**2 + 6*x + 2
Let q(g) = -5*g + 3039. Let v(i) = 2*i - 1016. Give -3*q(p) - 8*v(p).
-p - 989
Suppose a + 18 = 4*a. Let i be -1*8/(-6)*a. Let d(m) = m**3 + m - 1. Let r = 268 - 267. Let y(b) = -4*b**3 - 8*b + 8. What is i*d(t) + r*y(t)?
4*t**3
Let u(v) be the third derivative of -14*v**4/3 - 21*v**3/2 + 2*v**2. Let j = -11083 - -11020. Let c(r) = -7*r - 4. Give j*c(b) + 4*u(b).
-7*b
Let w(i) = -i**2. Let d(o) = -43*o**2 + 27*o - 9*o + 3*o - 19*o. Determine -d(z) - 4*w(z).
47*z**2 - 2*z
Let t(d) = -1218*d + 12. Let k(m) = 110*m - 1. Determine 46*k(r) + 4*t(r).
188*r + 2
Let y(w) = -83*w**2 - 7*w + 6. Let q(s) = 55*s**2 + 5*s - 4. Calculate 10*q(z) + 7*y(z).
-31*z**2 + z + 2
Let j(r) = -r**2 + 459*r + 4. Let h(p) = -3*p**2 + 458*p + 5. Give 2*h(w) - 3*j(w).
-3*w**2 - 461*w - 2
Let c(l) = -4*l + 2. Let j(s) = -4*s - 35. Let d be j(-9). Suppose -362*b = -363*b + d. Let x(g) = g**2 - g. Give b*c(k) - 2*x(k).
-2*k**2 - 2*k + 2
Let l(z) = z**2 + z. Let o(x) = 108*x**2 + 40*x - 42. Let a(u) = 215*u**2 + 74*u - 91. Let b(g) = -6*a(g) + 13*o(g). Calculate -b(q) + 76*l(q).
-38*q**2
Let y(z) = z**2 + 196*z + 1. Let x(h) = 2*h**2 + 390*h + 3. What is -6*x(s) + 13*y(s)?
s**2 + 208*s - 5
Let o(p) = -43*p - 2. Let y(a) = -693*a - 33. Give 66*o(t) - 4*y(t).
-66*t
Let d(x) = -1. Let s(l) = -2*l**2 + 8*l + 439. Let a be s(17). Let g(j) = j + 2. Suppose 0*u - u - 2 = 0. What is a*d(w) + u*g(w)?
-2*w - 1
Let q(a) = -7*a**2 + a. Let j(d) = 125*d**2 + 4*d + 2. Determine -j(r) + q(r).
-132*r**2 - 3*r - 2
Let h(d) = 53*d**3 + d**2 - 14*d - 2. Let b(w) = -106*w**3 - 2*w**2 + 36*w + 4. Calculate -2*b(u) - 5*h(u).
-53*u**3 - u**2 - 2*u + 2
Let y(h) be the second derivative of -h**4/4 + h**3/6 + 4*h**2 + 499*h. Let p(s) = 2*s**2 - 4. Give -5*p(f) - 3*y(f).
-f**2 - 3*f - 4
Let i(r) = 2337*r**3 + 6*r**2 - 6*r - 96. Let h(v) = 126198*v**3 + 323*v**2 - 323*v - 5168. What is 6*h(s) - 323*i(s)?
2337*s**3
Let d(r) = -561*r - 1. Let f(j) = -179*j. Determine 4*d(c) - 13*f(c).
83*c - 4
Let a(v) = -11*v**3 - 2*v**2 + 4*v. Let d(k) = -2*k**3 - k**2 - 4. Give -a(j) + 3*d(j).
5*j**3 - j**2 - 4*j - 12
Let f(x) = -4*x - 26. Let z(m) = -2*m - 13. Let v(q) = -q**3 + 69*q**2 - 3*q + 204. Let h be v(69). What is h*f(r) + 5*z(r)?
2*r + 13
Let u(m) = -m**2 + 6*m + 6. Let p be u(7). Suppose 7*f + 133 = 126. Let d(r) = r**3 + r. Let h(c) = -2*c**3 - c. Determine f*d(q) + p*h(q).
q**3
Let i(f) = -f**2 + f. Let c be (-36)/(-44) + (-78)/(-429). Let s(u) = 30*u**2 - 4*u. Give c*s(b) + 4*i(b).
26*b**2
Let d(l) = 42*l**2 - 8. Let t be 8/32*-2*-6. Let r be -8 - 0/((-12)/t) - 0. Let c(a) = 28*a**2 - 5. Determine r*c(k) + 5*d(k).
-14*k**2
Let z(w) = -5670*w**3 + 22*w**2 + 14*w - 1. Let o(c) = 8505*c**3 - 35*c**2 - 22*c + 1. Determine 5*o(n) + 8*z(n).
-2835*n**3 + n**2 + 2*n - 3
Suppose -3*w = -5*z + 40, -9*z + 6*z - 5 = 4*w. Let j(p) be the second derivative of 7*p**3/2 - 7*p. Let n(c) = 9 + 6*c - 9. Calculate z*j(b) - 18*n(b).
-3*b
Let a(s) = 16*s**3 - 11*s**2 - 21*s - 11. Let c(l) = -3*l**3 + 2*l**2 + 4*l + 2. Suppose -x - 7 = -n, -9*n - 3*n + 152 = 5*x. Calculate n*c(d) + 2*a(d).
-d**3 + 2*d
Let x(o) = -o + 1. Let v(p) = 119*p - 702. Let i be v(6). Let n(d) = 3*d - 12. What is i*x(m) + n(m)?
-9*m
Let s(w) = -13*w**2 + 10*w - 6. Let d be 2*-5 - (0/2 - 5). Let g(p) = -9*p**2 + 7*p - 4. Determine d*s(n) + 7*g(n).
2*n**2 - n + 2
Let y(s) = 12*s - 3. Let g(i) be the third derivative of -i**4/2 + i**3/3 + 19*i**2 + 19*i. Determine 4*g(o) + 3*y(o).
-12*o - 1
Let t(j) be the third derivative of j**6/20 + j**5/60 - j**4/12 - j**3/2 - 26*j**2 - 29*j + 1. Let g(s) = 5*s**3 - 2*s - 3. What is 5*g(r) - 4*t(r)?
r**3 - 4*r**2 - 2*r - 3
Let b(a) = 75*a**2 + 6*a - 57. Let i(z) = -65*z**2 - 6*z + 48. Let m(y) = -5*b(y) - 6*i(y). Let f(q) = -q. Determine -4*f(r) - m(r).
-15*r**2 - 2*r + 3
Let v(b) = 14*b**2 - 4*b + 142. Let n(i) = 19*i**2 - 5*i + 138. Give 3*n(m) - 4*v(m).
m**2 + m - 154
Let b(n) = 37*n**3 + 7*n**2 - 3*n + 4. Let q(c) = 32*c**3 + 6*c**2 - 2*c + 3. Determine 3*b(w) - 4*q(w).
-17*w**3 - 3*w**2 - w
Let f(t) = -48*t**3 + 847*t**2 - 22*t - 225. Let z(m) = -7*m**3 + 121*m**2 - 3*m - 30. Calculate 2*f(o) - 15*z(o).
9*o**3 - 121*o**2 + o
Let y(h) = -24363*h**2 + 12*h. Let n(i) = 9749*i**2 - 5*i. Determine 12*n(k) + 5*y(k).
-4827*k**2
Let f(q) = -12*q + 109. Let a(i) = 6*i - 56. Give 7*a(s) + 4*f(s).
-6*s + 44
Let v(n) = 1789*n + 92. Let c(d) = -1340*d - 68. What is -11*c(j) - 8*v(j)?
428*j + 12
Let x(q) = 2*q**3 - 6*q**2 + 94*q - 12. Let u(w) = w**3 - 5*w**2 + 92*w - 10. Calculate 4*u(y) - 3*x(y).
-2*y**3 - 2*y**2 + 86*y - 4
Let l(z) = -11*z**3 - 6*z**2 + 6*z - 6. Let w = -171 - -158. Suppose -2833 + 2803 = -5*o. Let t(n) = -23*n**3 - 13*n**2 + 13*n - 13. Calculate o*t(f) + w*l(f).
5*f**3
Let k(l) = l - 1. Let z = -12487 + 12484. Let h(c) = c - 16. Determine z*k(b) + h(b).
-2*b - 13
Let f be (-297)/(-153) + (-15)/(-255). Let a(b) = -b - 1. Let c(l) = -33. Determine f*a(v) - c(v).
-2*v + 31
Suppose -19*g = -618 + 504. Let z be g/9*(15/10)/1. Let c(i) = -i**2 - i + 1. Let s(y) = 2*y**3 + 3*y**2 + 14*y - 5. Determine z*s(a) + 5*c(a).
2*a**3 - 2*a**2 + 9*a
Let i(u) = 3*u**3 + 412*u**2 - 7*u + 7. Let q(g) = 2*g**3 + 209*g**2 - 4*g + 4. What is 4*i(t) - 7*q(t)?
-2*t**3 + 185*t**2
Suppose -2*i - 5 = -3*i. Let d(b) be the first derivative of b**2/2 - 3*b - 192. Let f(t) = t - 3. Give i*d(l) - 4*f(l).
l - 3
Suppose 8*f + 21 = 45. Let x be 510/(-60)*(f + -1 + -4). Let y(s) = -11*s**3 - 20*s**2 - 17*s + 9. Let p(o) = 4*o**3 + 7*o**2 + 6*o - 3. Give x*p(w) + 6*y(w).
2*w**3 - w**2 + 3
Let k(n) = 7*n + 6332. Let l(p) = -18*p - 18993. Calculate 8*k(v) + 3*l(v).
2*v - 6323
Let c(k) = -k**3 - 18*k**2 - 31*k + 12. Let i be c(-16). Let f(x) = -2*x - 3. Let d be f(i). Let q(s) = 4*s + 5. Let g(a) = 3*a + 4. Determine d*g(w) - 4*q(w).
-w
Let p(t) = 2*t + 2. Let s(d) = -624*d - 768. Calculate -1920*p(c) - 5*s(c).
-720*c
Let t(c) = 255*c - 257. Let r(a) = 145*a - 129. Determine -5*r(o) + 3*t(o).
40*o - 126
Let n(m) be the third derivative of 13*m**5/60 + m**4/12 + 11*m**3/6 - 285*m**2 - m. Let d(g) = -6*g**2 - g - 5. Determine -7*d(t) - 3*n(t).
3*t**2 + t + 2
Let n be (-94)/18 - (-4)/18. Let q = -3 - n. Let m = 3200 + -3201. Let u(t) = -t**3 - t. Let r(s) = -5*s**3 - 4*s. Determine m*r(j) + q*u(j).
3*j**3 + 2*j
Let k(r) = r - 1. Let p(v) = -v**2 + 5*v - 8. Suppose 662*l + 1287 = 161*l + 285. What is l*k(s) + p(s)?
-s**2 + 3*s - 6
Suppose 45 = -5*q + 5*a, -4*a - 11 = 5*q - 29. Let g(u) = 0*u**3 + 1 + 1 + u**3 + 5*u + 2*u**2. Let m(j) = j**3 + 3*j**2 + 6*j + 2. What is q*m(t) + 3*g(t)?
t**3 + 3*t + 2
Let s(j) = 4*j**3 + 3*j**2 - j. Let c be -12*(588/48 - 12). Let x = 11 - -3. Suppose 3*v + x = 38. Let o(h) = 11*h**3 + 8*h**2 - 3*h. Calculate c*o(a) + v*s(a).
-a**3 + a
Let g(p) = -45547*p**3 - 45554*p**3 + 91120*p**3. Let u(k) = -210*k**3. Calculate -45*g(x) - 4*u(x).
-15*x**3
Let a(m) = 13*m**2 + 104*m - 2. Let c(o) = -11*o**2 - 106*o + 1. Determine 2*a(w) + 3*c(w).
-7*w**2 - 110*w - 1
Let n(o) be the third derivative of o**4/3 + 7*o**3/3 - 11*o**2. Let p be n(-2). Let h(s) = -4*s + 1. Let m(u) = 5 - 3 - 1 - 3*u. Calculate p*h(q) + 3*m(q).
-q + 1
Suppose 6*z - 53*z = 146 - 52. Let t(w) = 3*w + 6. Let l(x) = -3*x - 6. What is z*l(i) - 3*t(i)?
-3*i - 6
Let j(d) = 2*d**3 + d**2 - d - 2. Let h(m) = 1987*m**3 + 7*m**2 - 7*m - 14. What is -2*h(y) + 14*j(y)?
-3946*y**3
Let j(h) = -5*h**3 + 5 + h**3 - 3*h**3 + 136803*h - 136799*h. Let u(w) be the second derivative of w**5/20 - w**3/6 - w**2/2 - w. Determine j(x) + 5*u(x).
-2*x**3 - x
Let v(o) = -44*o. Let k(a) = -a - 881 - 891 + 1772. What is 33*k(n) - v(n)?
11*n
Let i(w) = -3*w - 4. Let x(h) = -827*h**2 + 9924*h + 13232. Calculate -3308*i(z) - x(z).
827*z**2
Let b(a) = a**3 - 16*a**2 - 34*a + 741. Let t be b(15). Let f(y) = 128*y + 136. Let c(d) = d + 1. Give t*f(n) - 816*c(n).
-48*n
Let y = -10313 + 10309. Let b(s) = -7*s**2 - 2*s - 7. Let z(p) = -6*p**2 - 2*p - 6. Determine y*b(n) + 5*z(n).
-2*n**2 - 2*n - 2
Let m(p) = -16*p - 3. Let v(t) = -19*t - 3. Let n(j) = -3*m(j) + 2*v(j). Let h(k) be the first derivative of 15*k**2/2 + 4*k - 47. Calculate -5*h(o