3 - 18*t**2 - 32*t - 132. Factor c(a).
4*(a - 1)**3*(a + 8)*(4*a + 1)
Let i(b) be the third derivative of 0*b**3 - 2/525*b**7 + 0*b**4 + 0 + 0*b + 0*b**5 - 1/75*b**6 - 16*b**2. Let i(t) = 0. Calculate t.
-2, 0
Factor -m**2 - 4*m**2 + 18 - 18 + 3*m + 6*m**2.
m*(m + 3)
Factor 9/4*p**4 + 0 - 39*p**3 + 49*p**2 - 16*p.
p*(p - 16)*(3*p - 2)**2/4
Factor -2*z**2 - 1/3*z**3 + 0*z + 1/3*z**4 + 0.
z**2*(z - 3)*(z + 2)/3
Let j be (5/3)/(55/66). Let -a**2 - 6*a + 15*a + 11*a - 50 - a**j = 0. What is a?
5
Factor 254*r**2 + 326*r - 120*r**2 - 82 - 126*r**2.
2*(r + 41)*(4*r - 1)
Factor 60/7*x - 1/7*x**2 - 900/7.
-(x - 30)**2/7
Let j(s) be the second derivative of -s**2 + 1/36*s**4 + 29*s - 1/18*s**3 + 0. Find q such that j(q) = 0.
-2, 3
Let m be (-1 - 12/(-8))*22. Let g = 13 - m. Find a, given that -g*a**5 - 4*a**3 + 4*a**3 - 2*a**4 = 0.
-1, 0
Let m(i) = -18*i**2 - 4*i - 116. Let g(y) = 2*y**2 + 4*y - 1. Let d(s) = 20*g(s) + 2*m(s). Factor d(f).
4*(f - 3)*(f + 21)
Let h(q) = 3*q**5 + 11*q**4 - 45*q**3 + 76*q**2 - 61*q + 11. Let j(w) = w**5 + 6*w**4 - 23*w**3 + 38*w**2 - 30*w + 6. Let i(k) = 2*h(k) - 5*j(k). Factor i(b).
(b - 2)**3*(b - 1)**2
Let z = -1134842 + 14745761/13. Let h = z - -553. Let 0 + 0*x**4 + h*x**3 - 2/13*x**5 - 2/13*x + 0*x**2 = 0. Calculate x.
-1, 0, 1
Let t(s) = s**2 + s + 4. Let d be t(-2). Suppose 144*a - 146*a = -d. Determine v so that 2/7*v**5 + 8/7*v**a + 4/7 - 8/7*v**4 + 4/7*v**2 - 10/7*v = 0.
-1, 1, 2
Find h, given that 4/5*h**3 - 16/5*h**2 - 48/5*h + 0 = 0.
-2, 0, 6
Let n be ((-27)/54)/((-2)/12). Let c(k) be the second derivative of 4*k - 2/27*k**n - 1/18*k**4 - 1/90*k**5 + 0 + 0*k**2. Determine s so that c(s) = 0.
-2, -1, 0
Solve -2*j + 2/11*j**3 + 0 - 20/11*j**2 = 0.
-1, 0, 11
Let n = 87947/13 - 6765. Solve -512/13 - n*m**2 - 64/13*m = 0.
-16
Factor 6*g - 40 + 28*g - 2*g**2 - 16*g.
-2*(g - 5)*(g - 4)
Let c = 191 + -572/3. Let k(l) be the second derivative of -1/3*l**3 + 0 - l**2 + c*l**4 - 5*l. Factor k(s).
2*(s - 1)*(2*s + 1)
Let y = -74943 - -7644121/102. Let g = 1/34 - y. Factor -1/3*n**2 - g*n - 1/3.
-(n + 1)**2/3
Let n(x) be the third derivative of -x**8/1680 + x**6/90 - 5*x**3/6 + 3*x**2. Let s(l) be the first derivative of n(l). Factor s(c).
-c**2*(c - 2)*(c + 2)
Suppose 5*k = -5*x - 15, -x = 3*x - 5*k + 39. Let j be -1 + ((-4)/x)/(26/39). Factor -1/4*c - 1/4*c**2 + j.
-c*(c + 1)/4
Solve 10*v**2 + 5*v**4 - 179*v**3 - 196*v**3 + 360*v**3 = 0 for v.
0, 1, 2
Let l(v) be the second derivative of -v**5/20 - 5*v**4/6 - 2*v**3 - 25*v**2/2 + 20*v. Let d be l(-9). Factor -1/5 + 4/5*i - 4/5*i**d.
-(2*i - 1)**2/5
Determine r, given that -26/5*r**2 + 4/5*r**3 + 48/5 + 2/5*r**4 - 28/5*r = 0.
-4, -2, 1, 3
Let l(w) be the second derivative of 0 + 2*w**2 - 1/10*w**5 + 1/3*w**3 - 1/3*w**4 + 10*w. Factor l(h).
-2*(h - 1)*(h + 1)*(h + 2)
Suppose -15 = 3*u - 24. Let f(z) be the second derivative of -1/20*z**5 - 1/12*z**4 + 1/12*z**u + 1/60*z**6 + 0 + 2*z + 1/84*z**7 + 1/4*z**2. Factor f(a).
(a - 1)**2*(a + 1)**3/2
Let j(m) be the first derivative of 2*m**5/85 + m**4/34 - 2*m**3/17 - 5*m**2/17 - 4*m/17 - 178. Determine k so that j(k) = 0.
-1, 2
Find p, given that 256/9 + 336*p**2 + 592/3*p - 196/9*p**3 = 0.
-2/7, 16
Let s(h) be the first derivative of 15*h - 5/2*h**4 + 37 + h**5 - 20/3*h**3 + 5*h**2. Find r, given that s(r) = 0.
-1, 1, 3
Let x(v) be the first derivative of -v**4/3 - 4*v**3/3 + 33*v - 7. Let q(c) be the first derivative of x(c). Find m such that q(m) = 0.
-2, 0
Suppose -r + 29 - 147 = 0. Let g = r - -358/3. Factor -g*c - 2 - 2/9*c**2.
-2*(c + 3)**2/9
Let n(p) be the second derivative of p**6/36 + p**5/30 - 5*p**3/2 + 5*p. Let y(u) be the second derivative of n(u). Determine v so that y(v) = 0.
-2/5, 0
Let q(k) be the second derivative of -2*k**6/25 + 57*k**5/50 - 57*k**4/10 + 64*k**3/5 - 12*k**2 - 4*k - 14. Let q(t) = 0. Calculate t.
1/2, 2, 5
Let h(b) be the third derivative of -4*b**3 + 0 - 8*b**2 - 5/6*b**4 - 1/15*b**5 + 0*b. What is q in h(q) = 0?
-3, -2
Let n = -7597/572 - -719/52. Let p = 144/11 - 138/11. Find x, given that p*x**4 + 2/11*x**5 + 4/11*x**3 - 2/11 - n*x - 4/11*x**2 = 0.
-1, 1
Suppose -3*o = o + 27*o. Let n(v) be the third derivative of 0 + 0*v**4 + 1/40*v**5 + o*v + 0*v**3 - 1/160*v**6 - 3*v**2. Let n(b) = 0. Calculate b.
0, 2
Suppose -85*m + 37 + 76 = -57. Find b such that -3/7*b**m + 24/7 + 3*b = 0.
-1, 8
Let c(a) be the second derivative of -a**8/3360 + a**6/90 + 5*a**4/6 + 11*a. Let t(l) be the third derivative of c(l). Factor t(q).
-2*q*(q - 2)*(q + 2)
Let d(g) = -2*g**2 + 48*g - 234. Let h(l) = l + 2. Let f(s) = d(s) - 4*h(s). Factor f(w).
-2*(w - 11)**2
Solve 271*q**2 - 267*q**2 - 39*q - 17*q = 0 for q.
0, 14
What is k in -2/21*k**2 - 88/7*k**3 - 4/21*k**5 + 0 + 88/21*k + 26/3*k**4 = 0?
-1/2, 0, 1, 44
Let t be (-4)/(-6)*54/12. Suppose -3*r + n + t = 0, -5*r + 2*n + 5 - 1 = 0. Factor -r*v**2 + v**4 - 2*v**2 + 0 + v**4 + 2.
2*(v - 1)**2*(v + 1)**2
Suppose 0 = 4*x - 24 + 4. Suppose 0 - 4*a**2 + 4*a + x - 4*a**3 + 5 - 6 = 0. What is a?
-1, 1
Let g be 23 + (-891)/44 + (-4)/2. Find l, given that -3/8*l + 3/8*l**5 + 0 + 0*l**3 + g*l**2 - 3/4*l**4 = 0.
-1, 0, 1
Factor -50/3 - 202/3*v - 208/3*v**2 - 8/3*v**3.
-2*(v + 25)*(2*v + 1)**2/3
Let b be ((-6)/(-24))/((-8)/(-64)). Let 4/3*l**3 - 4/3*l**4 - 4/3*l + 0 + 4/3*l**b = 0. What is l?
-1, 0, 1
Let s(v) be the second derivative of -4/11*v**2 + 0 - 6*v - 1/66*v**4 - 4/33*v**3. Factor s(m).
-2*(m + 2)**2/11
Let j(y) = -y**2 + 8*y + 242. Let z be j(-12). Find l such that 0 - 2/13*l**3 + 0*l + 2/13*l**4 + 0*l**z = 0.
0, 1
Factor -330/19*r - 2/19*r**2 - 328/19.
-2*(r + 1)*(r + 164)/19
Let g(y) be the third derivative of -y**8/3360 - y**7/1050 + y**5/300 + y**4/240 - 56*y**2. Find i such that g(i) = 0.
-1, 0, 1
Let q = 270 + -191. Find v, given that -201*v**4 - q*v**3 - 20*v**3 - 9 - 15 + 222*v**4 - 36*v + 138*v**2 = 0.
-2/7, 1, 2
Let k(m) be the second derivative of m**5/4 + 5*m**4/12 - 68*m. What is v in k(v) = 0?
-1, 0
Suppose -4*l + 5*y + 33 = 0, 31 = 5*l + 4*y + 41. Factor 2/3*r**l + 0*r - 2/9*r**3 + 0.
-2*r**2*(r - 3)/9
Suppose -4*z = l - 2*z - 14, -l + 5*z - 21 = 0. Determine t so that -14/3*t**2 - 2/3*t**l - 10/3*t**3 + 0 - 2*t = 0.
-3, -1, 0
Let a = -10 - -10. Suppose m + a = 2. Factor -12 - 11*h**2 - 60*h - 53*h**2 - 11*h**m.
-3*(5*h + 2)**2
Let v(m) be the third derivative of 5*m**5/4 + 145*m**4/12 - 20*m**3/3 + 22*m**2 + 3*m. Suppose v(w) = 0. What is w?
-4, 2/15
Let y = -17 - -26. Suppose n + y = 12. Factor 0 - 8/3*s**2 + 4/3*s**4 + 2*s**n - 2/3*s**5 - 8/3*s.
-2*s*(s - 2)**2*(s + 1)**2/3
Let k(t) be the third derivative of 16*t**2 + 0*t + t**3 - 1/20*t**5 + 1/8*t**4 + 0. Find b, given that k(b) = 0.
-1, 2
Let d = 47 - 31. Let s = -14 + d. Factor s*m**4 + m + 6*m**2 - 3*m**2 + 3*m**2 - 3*m - 6*m**3.
2*m*(m - 1)**3
Factor 18 + 18*s**3 - 9*s + 25*s + 53*s - 630*s**2 + 705*s**2.
3*(s + 3)*(2*s + 1)*(3*s + 2)
Let l = 115 - 121. Let r(o) = -o**2 + 6*o + 4. Let x(b) = -2*b - 3. Let v(c) = -5*c - 8. Let g(y) = 3*v(y) - 8*x(y). Let h(s) = l*g(s) + r(s). Factor h(m).
-(m - 2)*(m + 2)
Let t = -6857 - -6859. Factor -2/5*n + 0*n**4 - 2/5*n**5 + 0*n**t + 0 + 4/5*n**3.
-2*n*(n - 1)**2*(n + 1)**2/5
Let l = -12838 - -12848. Find c, given that l + 5/4*c**2 - 15/2*c = 0.
2, 4
Let a(n) = 3*n**3 - 2*n**2 + n. Let j(k) = k**4 + k**2. Suppose -5*g + 6 = 1. Let p be (-2 + 1)/(g/(-3)). Let q(w) = p*j(w) - 3*a(w). Factor q(c).
3*c*(c - 1)**3
Factor -r**2 - 5*r**2 + 6 + 3*r**2 - 8*r + 5*r.
-3*(r - 1)*(r + 2)
Suppose 66 - 650 = -292*l. Factor 2/3*d**3 - l*d**2 - 10/3 - 6*d.
2*(d - 5)*(d + 1)**2/3
Let c be 5/(-10)*-14 - 10. Let t be 8*(2/6)/((-2)/c). What is g in -1/9*g**t - 2/9*g**3 + 0 - 1/9*g**2 + 0*g = 0?
-1, 0
Find s, given that 337*s**5 - 6*s**3 + 2*s**4 - 336*s**5 + 2*s**2 - 10*s**2 + s**4 = 0.
-4, -1, 0, 2
Find o, given that -3/7*o**4 - 363/7*o - 129/7*o**3 - 369/7*o**2 - 120/7 = 0.
-40, -1
Let j be ((-36)/(-60))/((-63)/(-120)). Determine o, given that 0 - 8/7*o**3 + 4/7*o**2 - 4/7*o**4 + j*o = 0.
-2, -1, 0, 1
Let i(p) be the second derivative of -p**6/10 + 9*p**5/20 + p**4 - 6*p**3 + 3*p - 28. Factor i(b).
-3*b*(b - 3)*(b - 2)*(b + 2)
Factor -76/3*m - 52 + 1/3*m**2.
(m - 78)*(m + 2)/3
Let c = -3421 - -3421. Suppose 0*u**2 + 0*u + 0*u**3 + 2/13*u**4 + c = 0. Calculate u.
0