 + 1
Let y(z) = z**3 - 2*z**2 + 2. Let m = 0 - 0. Let b(w) = 3 + 9*w**2 + m*w**3 - 4*w**3 - 2 - 10. Calculate -4*b(p) - 18*y(p).
-2*p**3
Let v(l) = l**3 + l**2 - 1. Let b(h) = -3*h**3 - 5*h**2 + 5. Give -4*b(p) - 20*v(p).
-8*p**3
Suppose 2 = 2*h - 2. Let j be (-4)/(-5)*5/h. Let q(g) = 1 - g + j*g + g**2 - 2. Let i(n) = n**2 + n. Determine -2*i(z) + q(z).
-z**2 - z - 1
Let z(a) = -2*a. Let r(h) = h. Let x = 17 - 7. Suppose -3*o - 4 + x = 0. What is o*z(k) + 7*r(k)?
3*k
Let o(n) = -n**2 - n - 1. Let j(x) = 16*x**3 + 48*x**2 + 48*x + 48. Determine -5*j(v) - 240*o(v).
-80*v**3
Let k(c) = c**2 + c - 1. Let i(l) = 26*l**2 + 22*l - 22. Calculate 4*i(m) - 88*k(m).
16*m**2
Suppose 5*b + z + 6 = 8*b, 3*z = 2*b - 11. Let y(n) = -n**2 + n + 1. Let w(s) = -2*s**3 + 4*s**2 - 5*s - 7. What is b*w(q) + 5*y(q)?
-2*q**3 - q**2 - 2
Let r(x) = -7*x**2 + 2*x - 6. Let u(v) = 8*v**2 - 2*v + 7. Calculate 6*r(b) + 5*u(b).
-2*b**2 + 2*b - 1
Let y(f) = -4*f - 19. Let o(t) = 2. What is -5*o(m) - y(m)?
4*m + 9
Let f(x) = -2*x**2 - 5*x. Suppose 0 = -2*l - 4*t + 12, -3*l - 2*t + t + 28 = 0. Let j(r) = -r**2 - 2*r. Calculate l*j(i) - 4*f(i).
-2*i**2
Let u(v) = -v + 1. Let l(m) = 2*m - 5. Let o = -19 + 18. What is o*l(a) - 3*u(a)?
a + 2
Let c(y) = y - 25. Let w(g) = -6. Suppose -3*p - 3*m - 3 = 0, p - 2*m - 4 = 4*p. Calculate p*c(i) + 9*w(i).
-2*i - 4
Let k(v) = v - 1. Suppose -9*r - 6 = -15. Let f(p) = -3*p - 4 - 1 + 5*p. What is r*f(x) - 4*k(x)?
-2*x - 1
Let j(w) = 3*w**3 - 7*w**3 + 9*w + 4 - 3*w. Let u(m) = -10*m**3 - 3*m + 10. Let z(g) = -g**3 - 2*g + 1. Let o(a) = -u(a) + 5*z(a). Calculate 7*j(t) + 6*o(t).
2*t**3 - 2
Let q(p) = p**3 - 5*p**2 + 4*p - 1. Let d be q(4). Let n(l) = l - 3. Let m(z) = 1. What is d*n(t) - 5*m(t)?
-t - 2
Suppose -n + w = 0, -2*w - 23 + 7 = 2*n. Let u(o) = o - 1. Let b(f) = -2*f + 2. Determine n*u(j) - 3*b(j).
2*j - 2
Let o(h) = -h**2 - 8*h - 1. Let g be o(-9). Let y = g + 8. Let t(n) = -3*n**3 - 2*n + 2. Let d(p) = -16*p**3 + p**2 - 11*p + 11. Determine y*d(s) + 11*t(s).
-s**3 - 2*s**2
Let a(c) = 34*c**2 - 3*c + 3. Let q(r) = r**2 + r - 1. Determine -a(i) - 3*q(i).
-37*i**2
Suppose -4*y - 2 = -6. Let p(w) = w. Suppose -t - 4 = o, -o + 4 = 3*t + 20. Let g(v) = 5*v - 1. What is t*p(s) + y*g(s)?
-s - 1
Let a = -37 - -25. Let w(f) = 2*f**3 + 12*f**2 - 12. Let l(k) = k**2 - 1. What is a*l(n) + w(n)?
2*n**3
Let a(f) be the third derivative of -f**5/15 - f**4/6 - f**3 + 3*f**2. Let o = -2 - -2. Let v(p) = -p + o*p + 0*p - 1 - p**2. Calculate -a(y) + 5*v(y).
-y**2 - y + 1
Let o(f) = 2*f**2 + 15*f + 7. Let a(l) = l**2 + 5*l + 2. Let n(g) = 7*a(g) - 2*o(g). Let r(p) = 20*p**2 + 32*p. Calculate 32*n(q) - 5*r(q).
-4*q**2
Let x(i) = -19*i**2 + 6*i. Let m(r) = -18*r**2 + 5*r. Calculate 6*m(a) - 5*x(a).
-13*a**2
Suppose -c = -5*c - 4*m + 4, -32 = -4*c + 3*m. Let g(f) = 2*f**3 - f**2 - 3*f + 5. Let p(h) = 3*h**3 - h**2 - 5*h + 9. Give c*g(r) - 3*p(r).
r**3 - 2*r**2 - 2
Let z(j) = 15*j - 8. Let y(b) = 1. Determine 6*y(x) + z(x).
15*x - 2
Let g(z) = -72*z**2. Let o(i) = i**2. Give g(c) - 6*o(c).
-78*c**2
Let f(r) = -2*r**3 - 6. Let a(d) be the first derivative of -d - 2. Suppose 2 = o - 0. Suppose o = 3*g + 5. Determine g*f(q) + 6*a(q).
2*q**3
Let m(z) = 3*z**3 + 2*z**2 - 2. Let d(y) be the first derivative of -y**4 - y**3 - y**2/2 + 3*y + 66. Determine -2*d(h) - 3*m(h).
-h**3 + 2*h
Let i(l) = -7*l**3 - l**2 - 4*l. Let y(t) = -15*t**3 - 2*t**2 - 9*t. Let d be 1/((-1)/7*-1). Let b be d*(1 + 2/(-14)). What is b*y(c) - 13*i(c)?
c**3 + c**2 - 2*c
Let k(l) = -l**2 + 1. Let x(p) = -2*p**2 + 1. Let y = 105 + -106. Determine y*x(w) + 3*k(w).
-w**2 + 2
Let o(g) = 53 - 51 + 3*g - 10*g. Let p(a) = -a**3 + 6*a**2 + 7*a + 8. Let w be p(7). Let m(d) = 11*d - 3. Calculate w*o(y) + 5*m(y).
-y + 1
Let y(x) = -21*x - 11. Let p(o) = -4*o + 2. Let c(t) = -1. Let m(d) = -4*c(d) - p(d). Let b(a) = a**2 - 6*a + 6. Let v be b(4). Calculate v*y(r) - 11*m(r).
-2*r
Let m be -4*(-3 + (-5)/(-2)). Let c(d) = -6 + m + 3 + 3*d - 4*d. Let l(y) = -4*y - 3. What is 6*c(x) - 2*l(x)?
2*x
Let m(h) = 16*h - 4. Let p(o) = -8*o + 2. What is 6*m(g) + 13*p(g)?
-8*g + 2
Let f = -108 + 110. Let o(y) = -3*y**2 - y - 1. Let v(a) = 15*a**2 + 5*a + 5. What is f*v(b) + 11*o(b)?
-3*b**2 - b - 1
Let t(i) = 2*i - 5. Let x(l) = l - 3. Let z be 8 - (-5)/(5/2). Suppose -h + z = -0*h. Let f(d) = 6*d. Let u be f(-1). Give h*x(w) + u*t(w).
-2*w
Let u(b) = -4*b**3 - 2*b**2 - b. Let w(c) = 2*c**3 + c**2 + c - 1. Let a(j) = 3*j**3 + j**2 + 3*j - 4. Let r(g) = -a(g) + 4*w(g). What is 2*r(x) + 3*u(x)?
-2*x**3 - x
Let d(y) = -3*y - 5*y + 3 + 2*y + 3*y + 2*y**3. Let s(x) = -7*x**3 + 8*x - 8. Calculate -8*d(p) - 3*s(p).
5*p**3
Let k(m) be the second derivative of -m**3/2 + m**2 + m. Let t = 28 - 30. Let v(x) = x - 1. What is t*v(a) - k(a)?
a
Suppose -2*w - 13 = w + g, -2*w = -2*g - 2. Let r = w + 5. Let a(i) = -2*i**r + 2 - 2 + 1 - 6*i. Let q(b) = 2*b**2 + 5*b - 1. Calculate 6*a(y) + 7*q(y).
2*y**2 - y - 1
Let j(i) = -3*i**2 - 5*i - 5. Let f be (-4)/(-14) + 116/(-14). Let m(t) be the second derivative of -5*t**4/12 - 4*t**3/3 - 4*t**2 - 7*t. Give f*j(y) + 5*m(y).
-y**2
Suppose 0 = 5*k + u - 53, 3*k + u = -u + 36. Suppose -i - i = k. Let m(r) = -r - 1. Let a(j) = 6*j + 5. Determine i*m(d) - a(d).
-d
Let k be (-16)/(-9) + 4/18. Let z(b) = 2*b - 2. Let o be z(2). Let d(r) = -r**3 - r**o + 4*r**k + 3*r**3. Let i(g) = g**3 + 2*g**2. Give -2*d(t) + 3*i(t).
-t**3
Let h be (-4)/10 - 54/(-10). Let j = -5 - -6. Let d(x) = j + x - 1 - 5 + 0. Let z(f) = 2. Calculate h*z(i) + 2*d(i).
2*i
Let m(g) = 3 + 1 + 2*g - 3*g. Let v be m(3). Let q(b) = -7*b - 2*b + 4*b - v. Let w(o) = 4*o + 1. Calculate -3*q(x) - 4*w(x).
-x - 1
Let m(f) = 9*f**3 + 6*f**2 + 4*f - 9. Let c(v) = -9*v**3 - 5*v**2 - 3*v + 8. Determine 7*c(a) + 6*m(a).
-9*a**3 + a**2 + 3*a + 2
Suppose s + 0 + 3 = w, 0 = w - 2*s - 4. Suppose -7 - 1 = 4*d, -2*z + 3*d + 4 = 0. Let f = 0 - z. Let x(y) = y**2 - 2*y. Let i(a) = a. Determine f*x(u) + w*i(u).
u**2
Let n(a) = 29*a**3 + 2. Let w(f) = -4929*f**3 - 341. What is 682*n(d) + 4*w(d)?
62*d**3
Let y(d) be the third derivative of -d**4/12 - 3*d**3/2 + 19*d**2. Let g(q) = -q - 5. What is -7*g(a) + 4*y(a)?
-a - 1
Let n(a) = 12*a. Let w(m) = -119*m. Calculate -51*n(i) - 5*w(i).
-17*i
Let p(s) = -s**2 - 1. Let m(a) = 102*a**2 + 119. Calculate 2*m(l) + 238*p(l).
-34*l**2
Let y(b) = b. Let v(o) = 9*o. Suppose 2 = -z - 0. Calculate z*v(j) + 22*y(j).
4*j
Let i(c) = 7*c**2 + 3900*c - 3900*c. Let s(j) = 5*j**2. Determine -5*i(t) + 8*s(t).
5*t**2
Let q(a) = -7*a - 4. Suppose 0 = -11*t + 10*t - 5. Let j(x) = -3*x - 2. What is t*j(y) + 2*q(y)?
y + 2
Let s(v) = 2*v**2 - 3*v + 5. Let x = 16 + -20. Let b(i) = -3*i**2 + 3*i - 6. Calculate x*s(f) - 3*b(f).
f**2 + 3*f - 2
Suppose -3*x + 10 = -h, x + 5*h - 6*h = 0. Let l(v) = v**2 - 5*v - 5. Let o(j) = -2*j**2 + 16*j + 16. Give x*o(s) + 16*l(s).
6*s**2
Let d(g) = -g**3 - 7*g**2 - 7. Let w(a) = -a**3 - 5*a**2 - 5. Calculate -5*d(i) + 7*w(i).
-2*i**3
Let n(z) = z - 1. Let q be 8*(20/25 - (-1)/5). Let k(j) = 10*j - 6. Determine q*n(b) - k(b).
-2*b - 2
Let w(s) = 17*s**3 - 13*s**2 - 13*s. Let y(l) = -8*l**3 + 6*l**2 + 6*l. Let i(j) = -j**2 - 5*j. Let v be i(-6). Determine v*w(q) - 13*y(q).
2*q**3
Suppose -2*a - 3 = 7. Let z(p) = -4*p**3 + 5*p**2 + 7*p - 5. Let s(q) = -4*q**3 + q**3 + 0*q**3 + 2*q**3 - 1 + q + q**2. Give a*s(b) + z(b).
b**3 + 2*b
Let n be 0 - -14 - (-2 + 2). Suppose -3*c - 2*p + n = -c, -3*c - 11 = -5*p. Let a(t) = t**2 - t + 5. Let y(d) = -2 - 2*d + 3*d - 2. Give c*y(q) + 2*a(q).
2*q**2 + q - 2
Let h(f) = 4*f**2 - 4*f - 2. Let k(v) = 2*v**2 - 2*v - 1. Give 4*h(t) - 7*k(t).
2*t**2 - 2*t - 1
Let v(j) = -9*j**3 + 6*j**2. Let i(s) = 3*s**3 - 11*s**2 + 5*s**3 + 9*s**3. Give 6*i(u) + 11*v(u).
3*u**3
Let f(z) = -4*z + z + 2*z. Suppose 3*c + 6 = 0, 3*i + 0*c = -c + 10. Let j(d) = -3*d. Let r(n) = n**3 - 6*n**2 - n + 5. Let w be r(6). Give i*f(y) + w*j(y).
-y
Let l(x) = 6*x**2 + 6*x. Suppose 70 = 4*r + 10*r. Let h(d) = d**2 + d. What is r*h(a) - l(a)?
-a**2 - a
Let r(y) = 3*y**2 - 12*y + 5. Let g(k) = 3*k**2 - 13*k + 6. Determine -5*g(n) + 6*r(n).
3*n**2 - 7*n
Let z(l) = -l**2 + l + 6. Let j be z(0). Suppose -j = -k - 0*k. Let t = -3 + k. Let c(w) = -9*w - 7. Let i(h) = -4*h - 3. What is t*c(b) - 7*i(b)