 + 19. Factor c(l).
-(l + 5)**3/7
Suppose a - 4 = -2. Solve 9*y - 5*y + 7*y + y + a*y**2 + 18 = 0.
-3
Let u = 49/110 - 1/22. Solve -4/5*j**2 - j - u - 1/5*j**3 = 0 for j.
-2, -1
Suppose 17*u - 14 = 18*u. Let w = u - -18. Factor -4/9*o**3 + 2/9*o**w + 0 + 0*o**2 + 0*o + 2/9*o**5.
2*o**3*(o - 1)*(o + 2)/9
Let v(t) be the first derivative of -t**8/2520 + t**7/1260 + t**6/540 - t**5/180 - t**3/3 + 8. Let h(o) be the third derivative of v(o). Factor h(a).
-2*a*(a - 1)**2*(a + 1)/3
Let c = 449 - 1249/3. Factor -c*b**3 - 8/3 - 154/3*b**2 - 64/3*b.
-2*(b + 1)*(7*b + 2)**2/3
Let k be (-16)/(-10) + 3/(-5). Let t(v) be the first derivative of k + 1/2*v**4 - 4/3*v**3 + v**2 + 0*v. Factor t(y).
2*y*(y - 1)**2
Let c(g) be the third derivative of 0 + 3*g**2 - 1/60*g**5 + 0*g + 0*g**3 + 1/24*g**4. Factor c(b).
-b*(b - 1)
Let r be (8/14)/((-4)/(-2)). Let k = 4307/7 + -615. Solve -r*n + 2/7*n**2 - k + 2/7*n**3 = 0 for n.
-1, 1
Let b = 183 + -365/2. Factor 1 + 5/2*p + 2*p**2 + b*p**3.
(p + 1)**2*(p + 2)/2
Factor -3*q**2 - 29*q - q**2 + 33*q.
-4*q*(q - 1)
Let u(a) = 471*a**2 - 2*a - 6. Let l be u(3). Suppose -52*f**4 - 162 + 88*f**2 + 101*f**2 + 970*f**4 + l*f**4 - 729*f + 4557*f**3 = 0. Calculate f.
-3/7, 2/5
Let q be (3 + (-88)/30)*5/4. Let s(x) be the first derivative of 0*x**2 + 0*x**5 + 1/18*x**6 - q*x**4 + 0*x**3 - 4 + 0*x. Find f, given that s(f) = 0.
-1, 0, 1
Let t(q) be the second derivative of 0*q**2 - 6*q + 0 + 3/16*q**4 + 0*q**5 - 1/40*q**6 + 1/4*q**3. Factor t(m).
-3*m*(m - 2)*(m + 1)**2/4
Suppose -11*g + 4 = -9*g. Let z be 1/2*(-20)/(-25). Factor -6/5*t**3 - 2/5*t**5 + 6/5*t**4 + 0 + z*t**g + 0*t.
-2*t**2*(t - 1)**3/5
Determine i, given that -6 + 0 + 15*i - 7*i**2 - 2*i**2 = 0.
2/3, 1
Let j be (3 - (-14)/(-6))*-12. Let n be 2/j - 136/(-32). Factor 0*r**5 + n*r**2 - 2*r**5 + 4*r**3 + 2*r**3.
-2*r**2*(r - 2)*(r + 1)**2
Let m be (-22)/121 + (-48)/(-22). Factor 2/3 + 3/2*f**m + 2*f.
(3*f + 2)**2/6
Suppose -6*o - 146 + 170 = 0. Factor -2/3*q**3 + 0*q**2 + 1/3*q**o - 1/3 + 2/3*q.
(q - 1)**3*(q + 1)/3
Let w(r) be the first derivative of -3*r**5/5 + 3*r**4/2 - 3*r**2 + 3*r + 20. Factor w(n).
-3*(n - 1)**3*(n + 1)
Find h, given that 0*h - 2/9*h**2 + 0 = 0.
0
Let d be ((-1)/3)/((-1)/6). Find x such that x**2 - d + 8 - 5 + 2*x = 0.
-1
Let j(l) be the first derivative of -l**6/40 - l**5/10 - l**4/8 - 2*l**2 - 2. Let i(x) be the second derivative of j(x). Factor i(c).
-3*c*(c + 1)**2
Let z = -21 + 17. Let i be z*((-55)/(-14) - 4). Factor 2/7*l**4 + 4/7 - 2/7*l**3 - 6/7*l**2 + i*l.
2*(l - 2)*(l - 1)*(l + 1)**2/7
Let z be (-23)/(-138) + 26/4. Suppose 92/9*q**2 + 2*q**4 - 22/3*q - z*q**3 - 2/9*q**5 + 2 = 0. What is q?
1, 3
Factor 9*f + 10*f**2 - 3*f - 2*f - 4*f**4 + 2*f**3.
-2*f*(f - 2)*(f + 1)*(2*f + 1)
Let o(b) be the first derivative of b**5/210 + b**4/84 + b**2/2 - 3. Let w(i) be the second derivative of o(i). Factor w(d).
2*d*(d + 1)/7
Let s = 262/3 + -87. Factor s*o - 1/3*o**3 - 1/3*o**2 + 1/3.
-(o - 1)*(o + 1)**2/3
Let w(u) be the second derivative of u**4/114 - 2*u**3/57 + u**2/19 + 18*u. Factor w(a).
2*(a - 1)**2/19
Factor 6*n**2 - 5*n**2 + 0*n + 3*n - 2*n**2.
-n*(n - 3)
Let w be (1 - (-6)/18)/4. Factor -1/3*k**2 + w*k + 0.
-k*(k - 1)/3
Let z(s) be the second derivative of 1/7*s**3 + 0*s**2 + 3/35*s**6 + 0 - 17/42*s**4 + 4*s + 3/10*s**5. Factor z(o).
2*o*(o + 3)*(3*o - 1)**2/7
Suppose 3*n + 4*g - 29 = 0, -4*g + 0*g = 2*n - 26. Suppose -n*m = -8*m. Find l, given that 1/2*l**4 - 1/2*l**2 + m - 1/2*l + 1/2*l**3 = 0.
-1, 0, 1
Let b(k) = 3*k**2 - 12*k - 33. Let l(g) = g**2 - 3*g - 8. Let j(t) = 5*b(t) - 21*l(t). Solve j(o) = 0 for o.
-1/2, 1
Let a = 2 - 2. Let f = 1910/9 + -212. Factor 0*i + a + 0*i**3 - f*i**2 + 2/9*i**4.
2*i**2*(i - 1)*(i + 1)/9
Let d(j) be the second derivative of 0 + 3*j**2 - 1/2*j**3 - 1/4*j**4 + 7*j. Factor d(s).
-3*(s - 1)*(s + 2)
Let w(n) be the second derivative of -n**5/110 - 2*n**4/33 - 5*n**3/33 - 2*n**2/11 - 18*n. Factor w(z).
-2*(z + 1)**2*(z + 2)/11
Let u(d) be the first derivative of -2*d**6/3 + 12*d**5/5 - d**4 - 4*d**3 + 4*d**2 + 2. Let u(v) = 0. Calculate v.
-1, 0, 1, 2
Suppose 0 + 0*o**2 - 2/3*o**3 + 0*o + 2/3*o**4 = 0. Calculate o.
0, 1
Let y(u) be the third derivative of -u**7/315 + u**6/180 + u**5/90 - u**4/36 + 8*u**2. Find x such that y(x) = 0.
-1, 0, 1
Let k(n) = -5*n**2 - 4*n. Let z(g) = -16*g**2 - 12*g. Let t(u) = -10*k(u) + 3*z(u). Solve t(r) = 0 for r.
-2, 0
Let t be 44/110 + (-52)/(-70). Solve 10/7*q**3 - 2/7*q**5 - 2/7*q**2 - t - 16/7*q + 2/7*q**4 = 0.
-1, 2
Let p be 92/28 + 2/(-7). Let 2*c**2 + 0*c**3 - 3*c**5 + 3*c**p + 2*c**5 = 0. Calculate c.
-1, 0, 2
Let s(p) = 2*p**2 - 3*p + 1. Let r be s(3). Suppose -1 - 2*n**3 - 1 - 6 - 11*n - 5*n - r*n**2 = 0. Calculate n.
-2, -1
Let z(m) = m**2 - m + 3. Let v be z(0). Factor 2/3*h**5 + 0 + 2*h**4 + 2/3*h**2 + 2*h**v + 0*h.
2*h**2*(h + 1)**3/3
Let -3/7 + 1/7*x**2 + 2/7*x = 0. What is x?
-3, 1
Let s(m) be the second derivative of -m**2/2 - m. Let t(b) = 3*b**3 - 2*b**2 - 3*b - 3. Let o(p) = -5*s(p) + t(p). Suppose o(u) = 0. Calculate u.
-1, 2/3, 1
Let p(s) be the third derivative of -1/420*s**7 + 0 + 1/120*s**5 - 1/240*s**6 - 2*s**2 + 1/672*s**8 + 0*s**4 + 0*s**3 + 0*s. Suppose p(v) = 0. Calculate v.
-1, 0, 1
Solve -12*m - 4 - 3*m**2 + 6*m**2 + 8*m**4 + 10*m**3 - 3*m**4 - 2*m**4 = 0 for m.
-2, -1/3, 1
Find x, given that 2*x**2 + 0*x**2 - 2*x**4 - 3*x**5 + 0*x**2 + x**5 + 2*x**3 = 0.
-1, 0, 1
Let h(p) = p. Let d be h(-3). Let w be (3/2)/(d/(-4)). Suppose -5*y**w + y**2 + 2*y**2 = 0. What is y?
0
Suppose -3*i = -i. Suppose 4 = -3*x + q, 3*q = -i*x + 5*x + 12. What is h in -1/2*h**4 - 1/2*h**5 + 0*h + 0 + 0*h**2 + x*h**3 = 0?
-1, 0
Suppose -7*m + 2*m - 45 = 0. Let q be (-2)/m + 8/126. What is w in 2/7*w + 6/7*w**3 + q*w**4 + 6/7*w**2 + 0 = 0?
-1, 0
Factor -12/7*w + 3/7*w**2 + 12/7.
3*(w - 2)**2/7
Let k(o) be the third derivative of -2*o**7/315 - 13*o**6/270 - 19*o**5/135 - 11*o**4/54 - 4*o**3/27 + 8*o**2. Find h such that k(h) = 0.
-2, -1, -1/3
Suppose -3*z = -5*l - 2*z + 13, -3*l - 5*z = 9. Factor -4*k**4 + 0 - 22/3*k**3 - 40/9*k**l - 8/9*k.
-2*k*(2*k + 1)*(3*k + 2)**2/9
Let v(x) be the third derivative of x**6/180 - x**5/30 + x**4/12 + x**3/2 + 3*x**2. Let w(r) be the first derivative of v(r). Factor w(m).
2*(m - 1)**2
Find y, given that -8/5*y**3 + 0*y + 0 - 8/5*y**2 - 2/5*y**4 = 0.
-2, 0
Factor 3/4*t**5 + 9/4*t**4 - 3/2*t**2 + 3/2*t**3 - 9/4*t - 3/4.
3*(t - 1)*(t + 1)**4/4
Let j(w) be the third derivative of -w**6/60 + w**5/15 + w**4/3 - 8*w**3/3 + 5*w**2. Factor j(u).
-2*(u - 2)**2*(u + 2)
Let p(r) be the second derivative of -r**6/6 + r**5/2 + 5*r**4/3 - 5*r**3/3 - 15*r**2/2 - 19*r. Factor p(n).
-5*(n - 3)*(n - 1)*(n + 1)**2
Let y(l) be the second derivative of l**9/4032 - 3*l**8/8960 - l**7/1680 - l**4/6 + 3*l. Let w(c) be the third derivative of y(c). Factor w(g).
3*g**2*(g - 1)*(5*g + 2)/4
Find v such that -6*v**3 + 5*v + 5*v - 1 + 5 - 8*v**2 = 0.
-2, -1/3, 1
Let h be 2/4*(5 + 3 - 2). Let s = 1946/2445 - -2/489. Factor 1/5 - 2/5*c**h + 2/5*c - s*c**2 + 3/5*c**4.
(c - 1)**2*(c + 1)*(3*c + 1)/5
Suppose -136 = -3*v - v. Suppose -3*o + v = 3*b + 2*b, 4*b = -5*o + 35. Factor -2*p**3 - b*p**2 - p**4 + 4*p**2 + 4*p**4.
p**2*(p - 1)*(3*p + 1)
Let f be (-1 + 8/6)/((-120)/(-72)). Determine x so that 2/5*x**2 - f + 0*x + 0*x**3 - 1/5*x**4 = 0.
-1, 1
Solve -4*b**2 - 42*b**3 + 2 - 2 + 2*b + 44*b**3 = 0.
0, 1
Let u(s) be the second derivative of s**6/135 - s**5/18 + 4*s**4/27 - 4*s**3/27 + 2*s. Suppose u(l) = 0. Calculate l.
0, 1, 2
Solve 0*p**2 + p**3 + 2*p**2 - 3*p**3 + 0*p**2 = 0 for p.
0, 1
Let v be 119/510 - 2/10. Let w(z) be the second derivative of -v*z**5 - 1/189*z**7 + 1/45*z**6 + 0*z**3 + 0*z**2 + 2*z + 1/54*z**4 + 0. Factor w(l).
-2*l**2*(l - 1)**3/9
Let w(k) = -k**3 + k**2 + k + 1. Let p(z) = -3*z**3 + 7*z**2 + 3*z + 3. Let u(h) = p(h) - 5*w(h). Determine v, given that u(v) = 0.
-1, 1
Let c(p) be the first derivative of -p**4/2 - 8*p**3/3 - 5*p**2 - 4*p - 34. Factor c(s).
-2*(s + 1)**2*(s + 2)
Let b(v) = -7*v + 137. Let u be b(19). Determine o so that -14/9*o**2 + 14/9*o**u + 4/9*o - 4/9*o**3 + 0 = 0.
-1, 0, 2/7, 1
Let h(b) = 11*b**2 - 5*b + 11. Suppose 21 = -4*w - 5*x, 2*w + 4*x + 6 = -0*w. Let l(f) = -5*f**2 + 2*f - 5. Let c(p) = w*l(p) - 4*h(p). Factor c(z).
(