- 3)**2*(o + 3)
Let g(k) be the third derivative of k**8/672 - 3*k**7/140 + 7*k**6/240 + 3*k**5/40 - k**4/6 + 40*k**2 + 2. Factor g(f).
f*(f - 8)*(f - 1)**2*(f + 1)/2
Let m(j) = 4*j**2 + 60*j - 16. Let i(v) = -v**2 - 12*v + 3. Suppose -r - 14 + 34 = 0. Let a = 15 - r. Let k(h) = a*m(h) - 24*i(h). Factor k(z).
4*(z - 2)*(z - 1)
Suppose 374 + 166 = 95*w + 175*w. Let r = 84/13 - 368/65. Suppose 0 + 6/5*z**w + 2/5*z + r*z**3 = 0. What is z?
-1, -1/2, 0
Let m = -590 + 592. Let t(n) be the first derivative of -1/2*n**m + 1/2*n + 7 + 1/6*n**3. Solve t(d) = 0.
1
Let x be (-6)/210*(-4 + -2)*2. Let t = x - -16/35. Suppose -1/5 - t*a**2 - 4/5*a = 0. Calculate a.
-1/2
Suppose -m - n - 103 = m, -4*m + 2*n - 186 = 0. Let z be ((-8)/(-14))/((-7)/m). Factor z*s**4 - 2 - 4*s**3 + 5*s - 2*s**5 + s**5 + 0*s**2 - 2*s**2.
-(s - 2)*(s - 1)**3*(s + 1)
Let y(g) = -5*g**4 - 32*g**3 + 101*g**2 - 103*g + 30. Let k(c) = -c**4 - 8*c**3 + 25*c**2 - 26*c + 8. Let w(z) = -18*k(z) + 4*y(z). Solve w(p) = 0.
1, 2, 3
Let j(k) be the first derivative of 2*k**5/45 - k**4/6 - 10*k**3/27 + k**2/3 + 8*k/9 + 158. Factor j(n).
2*(n - 4)*(n - 1)*(n + 1)**2/9
Let w(u) be the second derivative of -u**4/42 - 5*u**3/21 + 6*u**2/7 - 8*u + 6. Solve w(k) = 0 for k.
-6, 1
Let d(y) = y**2 - y. Suppose 0*g + 2*g = -4. Let m = g + 7. Let h(i) = 4*i**2 - 4*i. Let r(p) = m*d(p) - h(p). Factor r(x).
x*(x - 1)
Let u(k) be the third derivative of k**7/210 - k**6/40 - 3*k**5/20 - 5*k**4/24 + 68*k**2. Suppose u(s) = 0. What is s?
-1, 0, 5
Let z = -12393/4 - -62013/20. Suppose z + 9/5*x**2 - 24/5*x = 0. Calculate x.
2/3, 2
Let o be (-5046)/14*(-5)/(-5). Let n = 361 + o. Suppose n - 2*m**2 + 10/7*m = 0. Calculate m.
-2/7, 1
Let b(d) = 2*d**2 - 4. Suppose -3*t = t + 8. Let y be b(t). Factor 7 + 5 + y*q**2 + 7*q - 32*q + 9*q.
4*(q - 3)*(q - 1)
Let p be (-1474)/184 + 5 - -3. Let r = 371/276 + p. Suppose 2*k**4 - r*k + 0 + 16/3*k**2 - 19/3*k**3 = 0. What is k?
0, 1/2, 2/3, 2
Let n = -34 - -24. Let c be (-14)/35 - 24/n. Determine f so that -f**2 + 0*f**2 - 2 + 5*f - c*f + 0*f = 0.
1, 2
Let c(u) be the second derivative of u**5/5 + 8*u**4/3 + 34*u**3/3 + 20*u**2 - 19*u. Find x such that c(x) = 0.
-5, -2, -1
Let w(z) = -z**2 + 4*z. Let s(m) be the first derivative of 13 + 0*m + 4/3*m**3 - 17/2*m**2. Let r(j) = -2*s(j) - 9*w(j). What is q in r(q) = 0?
0, 2
Let s(i) be the second derivative of i**9/3024 - i**8/420 + 2*i**6/45 - 2*i**5/15 - i**3/6 + 5*i. Let h(v) be the second derivative of s(v). Factor h(b).
b*(b - 2)**3*(b + 2)
Let l = -1095 + 5491/5. Find a, given that -32/5*a - l - 12/5*a**2 = 0.
-2, -2/3
Let b(j) be the first derivative of -2*j**3/3 - 19*j**2 + 132*j + 222. Factor b(o).
-2*(o - 3)*(o + 22)
Let o(b) = -5*b**2 + 12*b + 3. Let a(i) = 5*i**2 - 13*i - 2. Let x(h) = -3*a(h) - 2*o(h). Factor x(z).
-5*z*(z - 3)
Let n(o) = 3*o + 3. Let b(r) = -r**2 + 2*r + 2. Suppose 3*m + 3 = 12. Let i be m/(-6)*-4 + 0. Let y(g) = i*n(g) - 3*b(g). Let y(f) = 0. Calculate f.
0
Let r(v) be the first derivative of 3*v**5/5 - 3*v**4/2 - 21*v**3 - 27*v**2 - 416. Solve r(n) = 0.
-3, -1, 0, 6
Let v(c) = -c**3 - c - 2. Let d(k) = -2*k**4 + 9*k**3 + 64*k**2 + 71*k - 2. Let p(z) = 2*d(z) - 2*v(z). Find b, given that p(b) = 0.
-2, 0, 9
Let i = -4378 - -21898/5. Factor -4/5*o - 10*o**2 + i + 5*o**3.
(o - 2)*(5*o - 2)*(5*o + 2)/5
Factor -140*f + 3425 - 2*f**2 - 1943 - 3932.
-2*(f + 35)**2
Let m(r) = r**2 - r. Let j(s) = -10*s**2 - 6*s. Suppose -3*v = -15, 3*n + 8 = 2*n + 2*v. Let f(t) = n*m(t) - j(t). Let f(o) = 0. Calculate o.
-1/3, 0
Factor -1/7*w**5 + 0*w + 0*w**2 + 0 + 8/7*w**4 + 9/7*w**3.
-w**3*(w - 9)*(w + 1)/7
Let m be (-30)/(-10) - (0 + -1). Suppose -4*l = m*k - 9*l - 8, -k = l - 2. Factor k*n**2 - n - n - 6*n + 4*n.
2*n*(n - 2)
Solve 0*r**2 - 267*r + 6*r**2 - 6*r**2 + 132 + 6*r**2 + 0*r**2 = 0 for r.
1/2, 44
Let t = 1135 - 1135. Factor t - 22/15*x**4 - 2/15*x**2 - 6/5*x**3 - 8/15*x**5 + 2/15*x.
-2*x*(x + 1)**3*(4*x - 1)/15
Suppose -5*a + 8 - 28 = 0. Let y be (-8)/24 - 2/a. Find f such that 1/3*f - 1/6*f**2 + 0 + y*f**4 - 1/3*f**3 = 0.
-1, 0, 1, 2
Let b(i) be the second derivative of -5*i**4/12 - 75*i**3 - 10125*i**2/2 - 13*i - 3. Let b(x) = 0. Calculate x.
-45
Let x = 711 + -13506/19. Let s = -1/247 + x. Factor 4/13*w - s*w**2 + 0.
-2*w*(w - 2)/13
Let j(v) = -5*v**3 - 2*v**2 - 9*v + 3. Let s(q) = 24*q**3 + 12*q**2 + 44*q - 14. Let w(b) = 14*j(b) + 3*s(b). What is m in w(m) = 0?
-3, -1, 0
Let i(z) be the second derivative of -1/6*z**6 + 22*z + 5*z**2 + 5/2*z**3 - 5/12*z**4 + 0 - 3/4*z**5. What is r in i(r) = 0?
-2, -1, 1
Let f = 170739/7 - 24326. Let y = f - 65. Let 2/7 - 4/7*v + y*v**2 = 0. Calculate v.
1
Let r = -50 + 101. Suppose 4*c**5 - 8 + 7*c + 61*c**3 + 2 + r*c**2 + 108*c**4 - 81*c**4 = 0. Calculate c.
-3, -2, -1, 1/4
Let j be (540/120)/(6 + -3). Find v such that -9/4*v**3 + 3/4*v**5 - j*v + 0 + 3/4*v**4 - 15/4*v**2 = 0.
-1, 0, 2
Let d = 1251/2 + -2501/4. Let x(a) be the second derivative of -10*a - d*a**3 - 1/16*a**4 - 3/8*a**2 + 0. Factor x(z).
-3*(z + 1)**2/4
Suppose 16 = 4*v + 4. Suppose v*z = 1 + 5. Solve -6*l**3 + 2*l**3 + l**z + 6*l**3 = 0 for l.
-1/2, 0
Let l(v) be the third derivative of v**8/2688 + v**7/504 - 7*v**6/288 + v**5/12 - 7*v**4/12 - 12*v**2. Let f(r) be the second derivative of l(r). Factor f(b).
5*(b - 1)**2*(b + 4)/2
Let g(i) = -7*i**3 - 4*i**2 - i - 6. Suppose 4*p = -18 - 6. Let z(o) = 13*o**3 + 7*o**2 + 2*o + 11. Let l(a) = p*z(a) - 11*g(a). Factor l(f).
-f*(f - 1)**2
Let y(c) = -5*c - 43. Let h = -5 - 4. Let b be y(h). Factor 2/5 + 2/5*t**b + 4/5*t.
2*(t + 1)**2/5
Find s, given that 0 + 8/9*s**4 + 10/9*s**3 + 2/9*s**5 + 4/9*s**2 + 0*s = 0.
-2, -1, 0
Factor -1/4*b**2 + 3/2*b - 2.
-(b - 4)*(b - 2)/4
Suppose -2/7*l**5 - 4/7*l**4 - 16/7 + 10/7*l**3 + 20/7*l**2 - 8/7*l = 0. Calculate l.
-2, -1, 1, 2
Suppose -19 + 3 = -8*q. Suppose 0 = j + q*s + 3 + 3, 5*s + 15 = j. Factor 0*z + 0*z**3 + j*z**4 + 0*z**2 - 1/5*z**5 + 0.
-z**5/5
Suppose -50*k - 14 = -54*k + 2*a, 9 = -3*a. Factor -48/7*n - 2/7*n**k - 288/7.
-2*(n + 12)**2/7
Let m(z) be the third derivative of -z**8/1176 + z**7/147 - z**6/140 - z**5/42 + z**4/21 - 80*z**2. What is x in m(x) = 0?
-1, 0, 1, 4
Factor -150*d**2 - 12 - 73 - 63 - d**3 - 297*d.
-(d + 1)**2*(d + 148)
Let y(w) be the second derivative of w**6/40 + 3*w**5/20 - 13*w**4/16 - 5*w**3 + 18*w**2 + 106*w. Factor y(z).
3*(z - 3)*(z - 1)*(z + 4)**2/4
Let y = 673/13 - 8353/195. Let u = 48/5 - y. Find n, given that u*n**4 + 1/3*n**3 + 0 + 0*n - 1/3*n**2 = 0.
-1, 0, 1/2
Let r(l) be the second derivative of 4*l**5/25 + l**4/3 - 14*l**3/15 - 4*l**2/5 + 13*l + 2. Solve r(s) = 0 for s.
-2, -1/4, 1
Let -18/5*x**3 + 0 - 128/5*x + 1/5*x**4 + 96/5*x**2 = 0. Calculate x.
0, 2, 8
Let j(c) be the second derivative of -2/13*c**2 + 7/39*c**3 + 0 - 7/78*c**4 + 1/65*c**5 + 6*c. Solve j(o) = 0.
1/2, 1, 2
Let i(p) = p**3 + 8*p**2 + 5*p - 9. Let k be i(-9). Let t be k/(-252) + 2/(-7). Factor r**3 - t*r**2 + 3/4*r**4 + 0 - 1/2*r.
r*(r + 1)**2*(3*r - 2)/4
Find l, given that 0 - 81/2*l**3 + 117/4*l**2 + 33/4*l**4 + 3*l = 0.
-1/11, 0, 1, 4
Let m(h) be the second derivative of 13*h + 0*h**3 - 1/10*h**5 - 2/15*h**6 + 0 + 0*h**2 + 0*h**4 - 1/21*h**7. Factor m(k).
-2*k**3*(k + 1)**2
Let t(y) be the second derivative of 3*y**5/40 + y**4 + 15*y**3/4 + y - 86. Factor t(r).
3*r*(r + 3)*(r + 5)/2
Factor -6/13 + 2/13*r**2 - 4/13*r.
2*(r - 3)*(r + 1)/13
Let w(o) be the first derivative of -1/10*o**5 - 5/2*o**3 + 9/4*o**2 + 7/8*o**4 + 0*o - 27. What is h in w(h) = 0?
0, 1, 3
Suppose 3*n - 16 = 2*p + 8, 5*p + 21 = n. Let y(j) be the second derivative of 1/10*j**5 + 8/3*j**3 - 4*j**2 + 0 - n*j - 5/6*j**4. Factor y(u).
2*(u - 2)**2*(u - 1)
Let q(x) = -3*x**2 - 9 + 25 - 12*x + 2*x**2. Let c be q(-13). Suppose -9/5*v**2 - 6/5 + c*v + 3/5*v**4 - 3/5*v**3 = 0. Calculate v.
-2, 1
Let m(d) be the third derivative of 16*d**7/105 + 97*d**6/30 + 132*d**5/5 + 280*d**4/3 + 128*d**3/3 - 130*d**2. Let m(g) = 0. Calculate g.
-4, -1/8
Suppose -5*z - 37 = 3*d - 23, -3*z - 18 = 3*d. Let -s**5 + 3/5*s**3 + 7/5*s**4 - 7/5*s**z + 2/5*s + 0 = 0. What is s?
-1, 0, 2/5, 1
Let n be ((-3)/((-18)/8) + -1)*(-54696)/(-11395). Find y such that 84/5*y**3 + 46/5*y**4 + 0 + n*y**5 + 8*y**2 - 16/5*y = 0.
-2, 0, 1/4
Suppose 41 - 17 = 8*p. Let m(j) be th