q + 1
Let h(o) = -2250*o**3 + 162*o**2 - 162*o + 162. Let k(b) = -15*b**3 + b**2 - b + 1. Calculate -2*h(t) + 324*k(t).
-360*t**3
Suppose -2*y = -22 + 4. Let o(n) be the second derivative of n**3/2 + 3*n**2/2 + 6*n. Let r(b) = -7 + 7*b + 24 - 7 - 3. What is y*o(p) - 4*r(p)?
-p - 1
Let z(u) = 187*u - 4. Let h(p) = -8*p. Determine -2*h(g) + z(g).
203*g - 4
Let k(s) = -s + 1. Let m = -703 + 702. Let x(i) = -i**2 - 2*i + 10. Let g be x(-5). Let u(n) = 12*n**2 + 5*n - 5. Calculate g*k(b) + m*u(b).
-12*b**2
Let n(p) = -10*p. Let g(u) = 5*u + 6. Let b(a) be the first derivative of -2*a**2 - 5*a - 113. Let l(o) = 6*b(o) + 5*g(o). Calculate -6*l(j) - n(j).
4*j
Let d = 4743 + -4750. Let m(g) = -6*g**3 + 7*g**2 - 46. Let w(r) = 4*r**3 - 5*r**2 + 31. Determine d*w(k) - 5*m(k).
2*k**3 + 13
Let s = -7 - -40. Let z(w) = 15 + 4*w + 17 - s. Let q(u) = -5*u + 1. Let c = 242 + -238. Calculate c*z(n) + 3*q(n).
n - 1
Let a(f) = 4*f - 8. Let j(s) = -78*s + 48*s + 11*s + 7*s + 11*s. Determine a(m) + 8*j(m).
-4*m - 8
Suppose -7*y = 2 + 5. Let o(j) = j + 2. Let s be 6/(-4)*6/9. Let l(q) be the third derivative of q**4/24 - 17*q**2 + 10*q. Calculate s*o(a) + y*l(a).
-2*a - 2
Let h(i) = 19*i + 739. Let w be h(-39). Let c(b) = -33*b**3 - 4*b**2 + 8*b - 9. Let p(a) = 8*a**3 + a**2 - 2*a + 2. Determine w*c(j) - 9*p(j).
-6*j**3 - j**2 + 2*j
Let o(c) = -4*c - 5. Let u(t) = t. Let g(f) = -o(f) + 2*u(f). Let j(p) = 7*p + 6. Let q = -3010 + 3004. Calculate q*g(n) + 5*j(n).
-n
Let g(x) = 40*x**2. Let t(q) = -q**2. Suppose 4*w - 2*w = p - 3, 2*p = -2*w - 6. Let k(v) = -2923*v + 157792. Let r be k(54). Calculate p*g(b) + r*t(b).
10*b**2
Let v(r) = -21*r + 4*r + 45*r + 29*r + 1 + 2. Let w(h) = 38*h + 2. Give -5*v(q) + 7*w(q).
-19*q - 1
Let z(h) = 499*h + 4007. Let j be z(-8). Let d(u) = 1. Let t(a) = -3*a**3 - 27. Give j*d(g) + t(g).
-3*g**3 - 12
Let r(n) = -4*n**3 - 4*n**2 - 1. Suppose 95*t + 1718 = 1908. Let l(o) = 13*o**3 + 13*o**2 + o + 4. Give t*l(v) + 7*r(v).
-2*v**3 - 2*v**2 + 2*v + 1
Let x be (-3)/6 + 460/40. Let g(a) = 2 + 10 + x + 6 - 27 + 6*a. Let o(u) be the first derivative of 5*u**2/2 + 2*u + 1. Give -3*g(r) + 4*o(r).
2*r + 2
Let k(x) = -7*x**2 + 3*x + 211. Let d(z) = -2*z**2 + z - 3. Determine -5*d(t) + k(t).
3*t**2 - 2*t + 226
Let o(s) = -s**2 - 1. Let v(p) = 3*p**2 + 5. Suppose 2*x - 7 = 3. Suppose -x*h - 3 = -2*h. Suppose -11*r + 11*r = 5*r + 25. Calculate h*v(z) + r*o(z).
2*z**2
Let a(f) = -15*f + 10. Let l(w) = 5*w - 3. Let p be 6 + 16/(-8) + 10 + 0. Suppose -p*m + 93 = -45*m. Give m*a(q) - 10*l(q).
-5*q
Suppose 0 = -8*f + 43 + 21. Let d(g) = 20*g**2 - 5 + 3*g**3 - 3*g + 3*g - 12*g**2. Let b(m) = -5*m**3 - 12*m**2 + 8. Determine f*d(i) + 5*b(i).
-i**3 + 4*i**2
Let j(i) = -3*i**2 - 7*i - 10. Let g(l) = 1 + l**2 - 1553*l + 3095*l - 1541*l. Give 6*g(c) + j(c).
3*c**2 - c - 4
Let d(t) = -2*t**2 - 3*t + 2. Let u = -448 + 448. Suppose -5*c - 5*j = 40, u*c = 2*c + 3*j + 20. Let r(h) = h. Determine c*r(i) - d(i).
2*i**2 - i - 2
Let u(h) = 262*h + 174. Let t(n) = 99*n + 58. Give 8*t(s) - 3*u(s).
6*s - 58
Let n(q) = 2*q**2 - 2*q + 1. Let l(d) = -d**2 + 62*d + 3. Give -l(a) + n(a).
3*a**2 - 64*a - 2
Let d(h) = h. Let x(k) = -2*k - 3. Let j(f) = -4*f - 7. Let i(c) = -2*j(c) + 5*x(c). Suppose -5633*n - 20 = -5643*n. Calculate n*i(q) + 7*d(q).
3*q - 2
Let k(i) = 14*i**2 + 413*i + 32. Let v(c) = 2*c**2 + 59*c + 5. Calculate -2*k(x) + 15*v(x).
2*x**2 + 59*x + 11
Let t(s) = -50*s - 5. Suppose 657*i - 5 = 652*i. Let r(z) = z + 1. Determine i*t(j) + 5*r(j).
-45*j
Let d(s) = s**2 + 166*s + 13. Let m(w) = -w**2 - 157*w - 12. What is 5*d(t) + 6*m(t)?
-t**2 - 112*t - 7
Let l(i) = 287*i**3 + 14*i**2 - 43*i + 5. Let m(z) = 96*z**3 + 5*z**2 - 16*z + 2. What is -3*l(p) + 8*m(p)?
-93*p**3 - 2*p**2 + p + 1
Let c(l) be the first derivative of -5*l**4/2 - 4*l**3 - 62*l + 6715. Let u(w) = -4*w**3 - 5*w**2 - 25. What is 5*c(p) - 12*u(p)?
-2*p**3 - 10
Let o(l) = 3*l + 1. Let y(m) = -m**2 + 15*m - 59. Let b be y(6). Let f(t) = -8*t - 1. Let a(q) = -33*q - 3. Let k(g) = -2*a(g) + 9*f(g). Give b*o(u) - 2*k(u).
-3*u + 1
Let t(b) = 4*b**2 - 4*b - 4. Let s(k) = -11*k + 70 + 106 - 204. Let u be s(-3). Let q(z) = 5*z - 7*z**2 + 9*z**2 - 6*z**2 + 5. Determine u*t(n) + 4*q(n).
4*n**2
Let v(j) = 42*j**3 + 2133*j**2 - 2*j - 20. Let c(m) = 34*m**3 + 2132*m**2 - 2*m - 16. What is 5*c(d) - 4*v(d)?
2*d**3 + 2128*d**2 - 2*d
Let b(c) = c + 1. Let t be (-3)/(-3) + -2 - -2. Let k(r) = -2*r**3 + 5*r**2 + r - 1. Suppose 69 = 2*u + 71. What is t*b(q) + u*k(q)?
2*q**3 - 5*q**2 + 2
Let d(u) = -32*u + 213. Let f(g) = 92*g - 641. What is -17*d(v) - 6*f(v)?
-8*v + 225
Let y(t) = t**3 - 1. Let c(u) = -5*u**3 + 4. Let h be 0/(5 + 3/(12/(-16))). Let o(n) = n**2 + h - 3 + 3 - 5. Let b be o(2). What is b*c(r) - 4*y(r)?
r**3
Let z be (-12)/(-24) - 123/(-6). Let w = 12 - z. Let q(a) = 12*a**3 - 4*a**2 - 9*a + 9. Let d(f) = 6*f**3 - 2*f**2 - 4*f + 4. Determine w*d(s) + 4*q(s).
-6*s**3 + 2*s**2
Let x(v) = 23*v**3 - 3*v**2 + 3*v - 3. Suppose 3*q - 38 - 21 = -5*h, 2*q + 24 = 3*h. Let w(g) = 68*g**3 - 10*g**2 + 10*g - 10. What is h*x(u) - 3*w(u)?
26*u**3
Let j(u) = -866*u**2 - 9*u. Let h(y) = -250274*y**2 - 2598*y. Determine 3*h(n) - 866*j(n).
-866*n**2
Let g(p) = -2243*p**3 - 4*p**2 + 8*p + 4. Let q(f) = -419440*f**3 - 749*f**2 + 1498*f + 749. What is -749*g(o) + 4*q(o)?
2247*o**3
Let k(o) = -30*o**2 - 4*o + 21. Let u(c) = -88*c**2 - 11*c + 57. Give 22*k(a) - 8*u(a).
44*a**2 + 6
Let y(i) = 5*i. Let a(o) be the third derivative of 0 + 11/24*o**4 + 0*o**3 - 15*o - 2*o**2. Give 3*a(w) - 7*y(w).
-2*w
Let s(q) = -8*q**2 + 9*q. Suppose -312 = 4*h - 12*h. Suppose -3*l + 45 - h = 0. Let g(y) = -y - 2*y - 98 + 98 + 3*y**l. Determine -11*g(o) - 4*s(o).
-o**2 - 3*o
Let v(d) = -36*d. Let y(q) = -q. Let a(j) = 2*v(j) - 66*y(j). Let w(o) = 13*o. Suppose 2*x - 4 = -5*z - 9, 3 = 3*z. Give x*a(u) - 3*w(u).
-9*u
Let u(p) = p**3 + p. Let b = -15 + 14. Let i(l) = -2*l**2 + 2*l + 2. Let q be i(b). Let d(t) = -3*t**3 - 2*t - 1. Determine q*u(z) - d(z).
z**3 + 1
Let x = 25 - 23. Let q(n) = -26*n + 10. Let l(w) = 5*w - 2. Let u(y) = -11*l(y) - 2*q(y). Let h(g) = g - 1. What is x*u(p) + 5*h(p)?
-p - 1
Let v(o) = 1 + 9*o - 7 - 2. Let w(m) = -5*m + 4. Suppose -77*d - 82*d + 172*d - 91 = 0. Determine d*w(f) + 4*v(f).
f - 4
Let y(f) = 128*f**2 + 210*f. Let q(c) = -127*c**2 - 139*c - 1. Give -3*q(t) - 2*y(t).
125*t**2 - 3*t + 3
Let b(f) = 5. Let a(l) be the second derivative of -l**3/6 - l**2/2 - 105*l - 5. Calculate 2*a(i) - b(i).
-2*i - 7
Let f(i) = -2*i**2 + 3*i + 1. Let l be f(3). Suppose 398*q = 559*q + 805. Let h(r) = -4*r**2 + 9*r + 1. Let n(b) = 6*b**2 - 14*b - 2. What is l*h(t) + q*n(t)?
2*t**2 - 2*t + 2
Let z(h) = -2257*h**3 + 21*h + 7. Let y(o) = -3009*o**3 + 27*o + 9. Determine -7*y(p) + 9*z(p).
750*p**3
Let h(n) = n**3 - 330*n**2 - 3*n + 3. Let d(g) = 7*g**2 - g + 1. Determine 3*d(i) - h(i).
-i**3 + 351*i**2
Let r(a) = -40717059*a + 78962. Let p(x) = -6188*x + 12. Give 39481*p(d) - 6*r(d).
-6074*d
Let b(h) be the first derivative of -h**3/3 + h + 3. Let n(w) be the second derivative of w**4/12 + w**3/3 - w**2 + 1189*w. What is 4*b(i) + n(i)?
-3*i**2 + 2*i + 2
Let l(u) = -10*u**2 + 101*u - 43. Let n(v) = -15*v**2 + 152*v - 61. Give 7*l(p) - 5*n(p).
5*p**2 - 53*p + 4
Let p(h) = -18*h - 28. Let q(n) = -69*n - 109. Give 22*p(t) - 6*q(t).
18*t + 38
Let a(b) = -63*b**3 - 2*b - 2. Let c(q) = 13413*q**3 + 427*q + 350. Let r(g) = g**3 + 11. Let l(f) = -c(f) - 7*r(f). What is 427*a(h) - 2*l(h)?
-61*h**3
Let c(h) = 6*h + 5. Let p(x) be the first derivative of x**2/2 + x + 14. Suppose 1 + 12 = k. Suppose -4*l = u + 2 - k, 2*u - 6 = -4*l. Calculate u*p(d) + c(d).
d
Let d(k) = 33*k**2 + 3*k - 2. Let q(w) = -102*w**2 - 11*w + 5. Determine 8*d(x) + 3*q(x).
-42*x**2 - 9*x - 1
Let z(r) = r**3 - r**2 + r - 1. Let d(w) be the second derivative of 3*w**5/10 + w**4/12 - w**3/6 + w**2/2 - 930*w. Give 2*d(j) + 2*z(j).
14*j**3
Let i(o) = -o**2 + 4. Let l(d) = -21*d**2 + 102*d + 36. Calculate -9*i(s) + l(s).
-12*s**2 + 102*s
Let r(m) be the third derivative of m**5/60 - 13*m**4/24 - 31*m**3/6 - 11*m**2. Let n be r(15). Let t(g) = -1. Let y(q) = q - 6. What is n*y(i) + 6*t(i)?
-i
Let d(p) = 10*p**2 + 4*p - 35. Let h(a) = a + 17 - 23*a**2 + 10 + 26*a**2 - 39. Give -2*d(m) 