+ 2*l. Factor s(c).
2*c**2*(c - 35)**2/7
Let t(o) = -o - 8. Let f be t(-8). Factor -2/7*x**4 + 0*x**2 + 2/7*x**3 + f + 0*x.
-2*x**3*(x - 1)/7
Let u(f) be the third derivative of 1/75*f**5 - 7*f**2 + 1/15*f**3 + 0 - 1/600*f**6 - 1/24*f**4 + 0*f. Factor u(x).
-(x - 2)*(x - 1)**2/5
Factor -35/3*i**3 + 20/3*i**2 + 35/3*i - 20/3.
-5*(i - 1)*(i + 1)*(7*i - 4)/3
Let s(x) be the third derivative of -x**6/72 + x**5/8 + 5*x**4/6 - 28*x**3/3 - 15*x**2. Let l(k) be the first derivative of s(k). What is h in l(h) = 0?
-1, 4
Let y(b) = -4*b**3 - 36*b**2 - 214*b - 428. Let x(v) = -21*v**3 - 180*v**2 - 1069*v - 2138. Let t(j) = -4*x(j) + 22*y(j). Factor t(o).
-4*(o + 6)**3
Suppose -5*m = -0*m - 150. Factor 5*n**4 + m*n**2 + 20*n**3 + 14*n - 5*n + 5 + 11*n.
5*(n + 1)**4
Let d(k) be the third derivative of 0*k**3 - 1/126*k**7 + 0 - 20*k**2 + 0*k**4 - 1/30*k**6 - 1/45*k**5 + 0*k. Factor d(g).
-g**2*(g + 2)*(5*g + 2)/3
Let b(c) be the first derivative of 2*c**5/5 - 11*c**4/8 + c**3 - 467. Factor b(f).
f**2*(f - 2)*(4*f - 3)/2
Suppose -2*r = -250 + 246. Determine n, given that 2*n**3 - 2/3*n**4 - r*n - 8/3 + 10/3*n**2 = 0.
-1, 1, 4
Let a(h) be the third derivative of 1/42*h**7 + 0*h + 0*h**3 - 1/12*h**5 + 5/12*h**4 - 1/12*h**6 - 7*h**2 + 0. Factor a(g).
5*g*(g - 2)*(g - 1)*(g + 1)
Let x = 251 + -412. Let o be ((-92)/x)/(2/7). Find m, given that 4/5*m**o - 2/5*m - 2/5 = 0.
-1/2, 1
Let x(n) be the second derivative of 14*n**6/45 + 34*n**5/3 + 352*n**4/3 + 64*n**3 - 94*n. Factor x(q).
4*q*(q + 12)**2*(7*q + 2)/3
Let x(b) = -51*b**3 + 952*b**2 + 554*b + 82. Let t(u) = 154*u**3 - 2856*u**2 - 1661*u - 247. Let w(k) = 2*t(k) + 7*x(k). Solve w(f) = 0.
-2/7, 20
Let c(d) be the first derivative of -d**4/2 + 22*d**3/3 + 14*d**2 - 48*d - 260. What is q in c(q) = 0?
-2, 1, 12
Let y(v) be the second derivative of v**4/3 + 8*v**3 + 40*v**2 - v - 36. Solve y(x) = 0.
-10, -2
Suppose 5/2*b**2 + 1/2*b**3 + b - 4 = 0. Calculate b.
-4, -2, 1
Let d(b) be the first derivative of b**5/390 + 3*b**4/52 + 8*b**3/39 + 7*b**2 + 26. Let w(t) be the second derivative of d(t). Let w(i) = 0. Calculate i.
-8, -1
Let n(i) be the second derivative of 1/5*i**6 + 3/20*i**5 + 0*i**2 + 0*i**4 + 0 + 1/14*i**7 + 0*i**3 + 4*i. Determine t so that n(t) = 0.
-1, 0
Let q(v) be the second derivative of -v**4/72 - 79*v**3/18 - 6241*v**2/12 - 217*v. Factor q(g).
-(g + 79)**2/6
Let l(o) = o**2 - o. Let b(j) = 30*j**3 + 51*j**2 + 48*j + 3. Let t(c) = -b(c) - 12*l(c). Find p such that t(p) = 0.
-1, -1/10
What is q in 9 + 0*q**2 - 21/2*q + 3/2*q**3 = 0?
-3, 1, 2
Let f(n) be the third derivative of 0*n - 55/8*n**4 - 16*n**2 + 0 - 25/3*n**3 + 1/14*n**7 - 11/4*n**5 - 7/24*n**6. Solve f(x) = 0.
-1, -2/3, 5
Let y be (11/((-110)/(-12)))/((-548)/(-40) + -11). What is m in 2/9*m - 2/3*m**2 - 2/9*m**3 + y + 2/9*m**4 = 0?
-1, 1, 2
Let l = -5227 + 5231. Factor -l - 2/3*g**2 + 10/3*g.
-2*(g - 3)*(g - 2)/3
Let x = -389 + 392. Let a(c) be the second derivative of -1/15*c**5 + 6*c**2 + 7/9*c**4 - c - 10/3*c**x + 0. Factor a(i).
-4*(i - 3)**2*(i - 1)/3
Let h(f) be the first derivative of 0*f**4 + 12 + 2/9*f**3 + 2/9*f**2 - 2/45*f**5 + 0*f. Solve h(o) = 0 for o.
-1, 0, 2
Let l(i) = -4*i**2 - 17*i - 2. Let n be l(-4). Let a be (0/n)/(-9 - -7). Suppose -6/5*t**2 + a - 3/5*t - 3/5*t**3 = 0. Calculate t.
-1, 0
Find j such that -2/3*j + 0 + 0*j**2 + 1/6*j**3 = 0.
-2, 0, 2
Let j = 5 + -3. Let r(m) = -m**3 - m**2 + 4*m. Let n be r(0). Factor 1/6*t**5 + 1/6*t**4 - 1/6*t**3 + 0 + n*t - 1/6*t**j.
t**2*(t - 1)*(t + 1)**2/6
Determine k, given that -2*k**3 - k**4 + 27*k**2 - 15*k**2 - k**4 = 0.
-3, 0, 2
Solve 2/7*p**3 - 18/7*p + 18/7 - 2/7*p**2 = 0 for p.
-3, 1, 3
Let q(t) = -2*t**2 - 139*t - 2312. Let j(v) = 8*v**2 + 557*v + 9248. Let s(d) = 6*j(d) + 26*q(d). Factor s(f).
-4*(f + 34)**2
Suppose 1/5*d**2 + 4/5*d**3 + 0 - 1/5*d**4 - 4/5*d = 0. Calculate d.
-1, 0, 1, 4
Let v(y) = y**2 - 26*y + 2. Let l be v(24). Let p = l + 46. Find i such that 0 - 15/7*i**5 + 12/7*i + p*i**2 - 51/7*i**3 - 54/7*i**4 = 0.
-2, -1, 0, 2/5
Let h = 1109/2234 - -4/1117. Let 0 - 1/4*s - 1/4*s**5 + h*s**3 + 0*s**2 + 0*s**4 = 0. What is s?
-1, 0, 1
Let n(v) be the second derivative of -v**4/20 - 5*v**3/2 + v + 63. Factor n(d).
-3*d*(d + 25)/5
Let d(g) be the first derivative of 2*g**5/5 - 15*g**4/2 + 38*g**3 - 73*g**2 + 60*g - 345. Determine z, given that d(z) = 0.
1, 3, 10
Factor 3/2*k + 5 - 1/2*k**2.
-(k - 5)*(k + 2)/2
Let y be 10*(1 - (-4)/(-8)). Suppose x + 3*x = -y*l + 46, -42 = -4*x - 3*l. Factor -3*n**2 - 2*n**2 + x*n**2 - 3*n**2 + 9 + 6*n.
(n + 3)**2
What is i in 154 - 108*i - 57*i + 48*i**2 + 3*i**3 - 40 = 0?
-19, 1, 2
Let g be (-55)/11 - ((-364)/32 - -6). Factor -1/8*m**3 + 0 + g*m**2 - 1/4*m.
-m*(m - 2)*(m - 1)/8
Let f(i) be the third derivative of i**8/1512 + i**7/135 - i**6/30 + i**5/135 + 17*i**4/108 - i**3/3 + 162*i**2. Factor f(k).
2*(k - 1)**3*(k + 1)*(k + 9)/9
Let o(p) be the third derivative of 1/60*p**4 + 1/300*p**5 + 0 - 8*p**2 + 1/30*p**3 + 0*p. Factor o(z).
(z + 1)**2/5
What is x in 39*x**3 - 96*x - 14*x**2 + 7*x**2 - 13*x**2 - 35*x**3 = 0?
-3, 0, 8
Let m = 1161900/369691 - 2/52813. Let -4/7 + m*q**2 - 18/7*q = 0. What is q?
-2/11, 1
Find s such that -1890 + 945 + 945 + 4*s**2 + 431*s + 13*s = 0.
-111, 0
Let x be 183/(-5) - 9/(-15). Let h be (-1)/((-4)/(x/(-3))). Factor -h*t - 3 + 7 - 2 + t**2.
(t - 2)*(t - 1)
Solve 16/3 - 11/3*x**3 - 10/3*x - 13*x**2 + 2/3*x**4 = 0 for x.
-2, -1, 1/2, 8
Let l(o) = -o**2 + o + 465. Let h be l(-21). Let q(c) be the second derivative of -27/8*c**2 + 0 - 15/8*c**h - 4*c - 3/80*c**5 - 7/16*c**4. Factor q(t).
-3*(t + 1)*(t + 3)**2/4
Let h(w) be the first derivative of 38/23*w**5 + 0*w - 75/23*w**6 - 22 + 67/23*w**4 - 8/23*w**2 + 8/69*w**3. Suppose h(t) = 0. Calculate t.
-2/5, 0, 2/9, 1
Let i(l) = 2*l**2 - 2*l - 1. Let c be i(2). Suppose 4 = 4*z, 0 = 3*x + 3*z - 0*z - c. Factor x - r**3 + 1 + 0 - r**2 + r.
-(r - 1)*(r + 1)**2
Suppose -89*w - 50*w = -0*w - 278. Let 0 - 1/2*a**w + a = 0. What is a?
0, 2
Solve 21*a**3 + 1296*a + 27*a**3 - 660 - 798 - 2*a**4 - 396*a**2 = 0.
3, 9
Let h be 0/(3 + (-2)/1 + -2). Let r be (1 - 3) + 3 + (-9)/(-3). Factor 0 - 32/3*s**2 + 16/3*s**3 - 4/3*s**5 + 8/3*s**r + h*s.
-4*s**2*(s - 2)**2*(s + 2)/3
Let k(d) be the second derivative of -7*d**5/4 + 5*d**4/4 + 25*d**3/3 - 26*d. Factor k(f).
-5*f*(f + 1)*(7*f - 10)
Let x be ((2/(-6))/(258/(-86)))/(8/36). Factor -625/2 - 75*l**2 - x*l**4 + 250*l + 10*l**3.
-(l - 5)**4/2
Let p(n) be the first derivative of -31 + 7/6*n**2 + 1/15*n**5 + n**3 + 2/3*n + 5/12*n**4. Solve p(m) = 0 for m.
-2, -1
Factor 2/9*m**2 + 0 - 154/9*m.
2*m*(m - 77)/9
Let n(a) be the third derivative of 1/60*a**5 + 0*a + 1/3*a**3 + 0 + 1/8*a**4 + 3*a**2. Factor n(g).
(g + 1)*(g + 2)
Suppose -5*i = 5*u + 90, -3*i = -4*u - 5*i - 66. Let d be (-6)/u + 32/20. Factor -c**3 + 23*c**d + 10*c + 4 - 15*c**2 + 3*c**3.
2*(c + 1)**2*(c + 2)
Let r(t) = 7*t + 2. Let w(h) = -4*h - 1. Let i(m) = 3*r(m) + 5*w(m). Let j be i(7). Factor -3*x**4 + j*x + 2*x**4 + 12*x**2 - 3*x**4.
-4*x*(x - 2)*(x + 1)**2
Factor 0*q + 0 - 10/9*q**3 - 2/9*q**5 - 4/9*q**2 - 8/9*q**4.
-2*q**2*(q + 1)**2*(q + 2)/9
Let i(c) = -9*c**3 + 9*c**2 + 10*c - 4. Let q = 43 - 47. Let z(u) = 26*u**3 - 26*u**2 - 30*u + 11. Let b(o) = q*z(o) - 11*i(o). Factor b(w).
-5*w*(w - 2)*(w + 1)
Let n(h) be the second derivative of h**4/132 + h**3/22 + h**2/11 - h - 22. Factor n(s).
(s + 1)*(s + 2)/11
Let b be 1 + (4 - 3)*1/(-1). Let n(i) be the second derivative of 1/2*i**3 + i**2 + b*i**4 - 1/20*i**5 - 7*i + 0. Let n(h) = 0. What is h?
-1, 2
Determine c so that -2/3*c**2 - 64/3*c + 0 = 0.
-32, 0
Let i = 3 - -3. Let n be -2*-2*3/i. Factor 3/4 + 3/4*t**3 + 9/4*t + 9/4*t**n.
3*(t + 1)**3/4
Let r(x) = -x**2 + x. Let d(l) = 6*l**2 - 37*l + 256. Let q(j) = -4*d(j) - 20*r(j). Suppose q(f) = 0. Calculate f.
16
Let a(b) be the first derivative of -3/2*b + 0*b**3 + 3/16*b**4 + 12 - 9/8*b**2. Determine l so that a(l) = 0.
-1, 2
Let o(d) be the second derivative of -3*d**5/40 + 21*d**4/8 - 147*d**3/4 + 1029*d**2/4 + 18*d + 3. Find f such that o(f) = 0.
7
Let i be (-6)/(1/((-6)/9)). Let 4*y - i*y**2 + 6*y**2 + 2*y**2 = 0. What is y?
-1, 0
Let x(g) be the first derivative of -g**7/3360 + g**6/1440 + g**5/240 - 22*g**3/3 + 35. Let p(u) be the third derivati