 - i**5 + 13*i**3.
-3*i**3*(i - 1)*(i + 1)
Let y be (-1 - 2 - -8)*18/(-5). Let f be 8/16 - y/4. Find z such that -5*z + 164*z**f + 4*z + 7*z + 39*z**2 + 81*z**3 - 143*z**5 + 69*z**4 = 0.
-1, -2/7, 0
Suppose -3536/3*a**2 + 5612/9*a**3 + 2/9*a**5 + 578*a - 208/9*a**4 + 0 = 0. Calculate a.
0, 1, 51
Find i such that -1/2 - 153/2*i**2 - 38*i**3 - 39*i = 0.
-1, -1/76
Suppose 41 - 13 = 7*o. Determine x, given that -10*x**o + 23*x**5 - 4*x**2 + 14*x**2 - 42*x**5 + 14*x**5 + 5*x = 0.
-1, 0, 1
Factor -644*x**3 - 4*x**4 + 2*x**5 - 6*x**2 - 3*x**4 + 19*x**4 + 670*x**3 + 8*x + 30*x**2.
2*x*(x + 1)**2*(x + 2)**2
What is u in 1/4*u**5 + u**3 - 10 - 41/2*u**2 + 5/2*u**4 + 107/4*u = 0?
-8, -5, 1
Suppose -3*d + 63 = 3*k - 4*d, 2*d - 6 = 0. Determine b so that 21 + k*b**2 + 22 - 24*b**3 + 2*b**4 + 34 - 77 = 0.
0, 1, 11
Let o = 4645 - 9265/2. Let x(s) be the first derivative of 46 - 10*s + 35/3*s**3 - o*s**2. Find j such that x(j) = 0.
-2/7, 1
Let g(c) = 43*c**2 + 249*c + 4618. Let l(i) = -450*i**2 - 2490*i - 46179. Let o(n) = -21*g(n) - 2*l(n). Factor o(j).
-3*(j + 28)*(j + 55)
Let p(n) be the third derivative of n**6/90 - n**5/6 - 4*n**4 + 47*n**3/2 - n**2 + 45*n. Let f(q) be the first derivative of p(q). Factor f(j).
4*(j - 8)*(j + 3)
Factor 1/5*n**3 - 7*n**4 + 0*n + 0 + 0*n**2.
-n**3*(35*n - 1)/5
Factor 8353 - 240396*r + 14*r**2 + 3187 + 200002*r.
2*(r - 2885)*(7*r - 2)
Let o(q) = q**3 - 14*q**2 + 20*q + 48. Let x be o(12). Factor 2*p + x*p + 5*p**3 + 51 + 70*p**2 + 59 + 71*p + 102*p.
5*(p + 1)*(p + 2)*(p + 11)
Find g, given that -1524*g**4 + 2372*g**2 - 8*g**5 - 8954*g**2 + 3459*g - 630 - 7*g**5 + 5292*g**3 = 0.
-105, 2/5, 1
Let h = 459844 - 459841. Factor t**2 + 0 - 1/5*t**4 + 6/5*t - 2/5*t**h.
-t*(t - 2)*(t + 1)*(t + 3)/5
Let y(m) be the first derivative of -2*m**2 - 4*m + 8/3*m**3 - 107. Let y(p) = 0. Calculate p.
-1/2, 1
Factor 1/4*h**4 + 83/4*h**2 + 45 + 201/4*h + 15/4*h**3.
(h + 3)**2*(h + 4)*(h + 5)/4
Let l = -306098/207 - -34016/23. Factor l*u**3 + 0 + 2/3*u + 8/9*u**2.
2*u*(u + 1)*(u + 3)/9
Let k(q) be the first derivative of 0*q + 2*q**2 + 105 - 26*q**5 - 122/3*q**3 - 64*q**4. Factor k(s).
-2*s*(s + 1)**2*(65*s - 2)
Let z(g) = 2*g**3 + 26*g**2 - 223*g - 27. Let t be z(6). Solve b - 13/4*b**t - b**2 + 0 - 5/4*b**4 = 0.
-2, -1, 0, 2/5
Let o(j) be the first derivative of 128/25*j**5 - 56/5*j**4 - 13/5*j**2 + 8*j**3 + 189 + 2/5*j. Suppose o(a) = 0. What is a?
1/4, 1
Let o(r) be the first derivative of 192*r**2 - 6*r**4 - 8/3*r**3 - 512*r - 2/5*r**5 + 198. What is d in o(d) = 0?
-8, 2
Let x(g) be the first derivative of g**5/30 - 19*g**4/3 + 301*g**3/18 - 25*g**2/2 - 1992. Determine b so that x(b) = 0.
0, 1, 150
Factor -1675/4 + 155/2*h + 5/4*h**2.
5*(h - 5)*(h + 67)/4
Let k(h) be the second derivative of h**7/210 - h**6/60 - h**5/12 + h**4/4 - 49*h**2/2 - 19*h - 2. Let c(n) be the first derivative of k(n). Factor c(s).
s*(s - 3)*(s - 1)*(s + 2)
Let g(l) = -l**2 + 23*l + 3. Let o(z) = 2*z**2 - 46*z - 6. Let u(m) = 5*g(m) + 2*o(m). Let d be u(23). Solve 4/7*q**d - 8/7 - 16/7*q**2 + 20/7*q = 0 for q.
1, 2
Suppose -2*g - 849 = 8*h - 3*h, -2*h - 2*g - 342 = 0. Let i = h - -169. What is a in -5/3*a**4 + 0 - 5/3*a**3 + i*a + 0*a**2 = 0?
-1, 0
Let c(x) = -x**3 - 6*x**2 - 5*x + 13. Let b be c(-4). Let n = b - -1/7. Determine m so that 20/7*m**2 - n*m - 16/7*m**3 + 4/7*m**4 + 0 = 0.
0, 1, 2
Factor 20/7*f**3 + 0*f - 12/7*f**2 + 1/7*f**5 + 0 - 9/7*f**4.
f**2*(f - 6)*(f - 2)*(f - 1)/7
Let t(o) = -o**2 - 7*o + 5. Let l be t(-7). Let s = 39 + -37. What is n in -4*n**4 + 9*n**3 + 119*n**2 - 122*n**s + 3*n**5 - l*n**4 = 0?
0, 1
Factor 6*i**3 + 0 - 81/5*i**2 - 108/5*i + 3/5*i**4.
3*i*(i - 3)*(i + 1)*(i + 12)/5
Let t(b) be the third derivative of b**8/84 - 38*b**7/105 + 3*b**6/2 + 583*b**5/15 - 605*b**4/3 - 1631*b**2. Find j, given that t(j) = 0.
-5, 0, 2, 11
Let p be (-135)/50 + 2 - (-3)/2. Let u be (6/(-16))/((-1331)/88 + 15). Suppose 0 - 12/5*f**u - 4/5*f**4 - p*f - 12/5*f**2 = 0. What is f?
-1, 0
Find m, given that -4/21 + 2/7*m - 2/21*m**3 + 0*m**2 = 0.
-2, 1
Let l be (-4)/26 - 8930/(-18330). Determine v, given that 13/3*v**2 - 55/3*v - l*v**3 + 25 = 0.
3, 5
Factor 242*u**2 - 3512*u - 581 - 738*u**2 - 2935 + 252*u**2 + 248*u**2.
4*(u - 879)*(u + 1)
Let z(a) = -a**4 + 2*a**3 + a**2 + a - 1. Let o(x) = -4*x**4 + 6884*x**3 + 8854578*x**2 + 5070718238*x + 1088936740316. Let y(d) = o(d) - 6*z(d). Factor y(h).
2*(h + 859)**4
Suppose c + 224 = 57*c. Suppose 2*i = -3*a + 10, 5*i - 8*i + a + c = 0. Factor -3 - 5/2*z - 1/2*z**i.
-(z + 2)*(z + 3)/2
Let n be (57/361)/((-3)/(-4)). Let o be (0 + 12/18)*9 - 4. Find c, given that 2/19*c - n + 24/19*c**o + 28/19*c**4 - 6/19*c**5 - 44/19*c**3 = 0.
-1/3, 1, 2
Let o(x) be the first derivative of -1/180*x**6 + 0*x + 0*x**5 - 3*x**2 + 2 + 0*x**3 + 1/36*x**4. Let j(z) be the second derivative of o(z). Factor j(r).
-2*r*(r - 1)*(r + 1)/3
What is r in 24*r - 4658*r**2 + 28 + 2330*r**2 + 2324*r**2 = 0?
-1, 7
Let j(z) be the third derivative of -z**7/1050 - 33*z**6/200 - 71*z**5/75 + 16*z**4/5 + 4*z**2 - 5*z + 2. Solve j(k) = 0 for k.
-96, -4, 0, 1
Let n = -110/6497 - -91508/32485. Factor 2/5*f**2 - 16/5 - n*f.
2*(f - 8)*(f + 1)/5
Let f(n) = -2*n**2. Let j(z) = z**2 - 30*z + 53. Let u be j(28). Let i(s) = -35*s**3 - 74*s**2 - 20*s. Let t(p) = u*f(p) - i(p). Find m such that t(m) = 0.
-2, -2/7, 0
Factor 245*r + 146*r - 4*r**2 - 972 - 55*r.
-4*(r - 81)*(r - 3)
Let c(h) be the second derivative of h**4/3 + 14*h**3/3 - 16*h**2 + 287*h - 2. Factor c(y).
4*(y - 1)*(y + 8)
Let a(j) be the second derivative of -95/8*j**4 + 3/8*j**6 + 0 + 1/56*j**7 - 243/8*j**2 + 9/8*j**5 + 225/8*j**3 + 19*j. Factor a(r).
3*(r - 1)**3*(r + 9)**2/4
Let a be (-25)/210*17/85*21/(-6). Let x(s) be the third derivative of 5/6*s**4 - a*s**5 + 8*s**2 + 0 + 0*s - 5/2*s**3. Factor x(k).
-5*(k - 3)*(k - 1)
Suppose -25*b - 24 - 101 = 0. Let u(d) = 3*d**3 + 2*d**2 + d - 2. Let n(q) = -q**3 + 1. Let y(v) = b*u(v) - 10*n(v). Factor y(w).
-5*w*(w + 1)**2
Let r(g) be the second derivative of 0 + 0*g**2 + 21*g + 1/102*g**4 - 5/51*g**3. Factor r(z).
2*z*(z - 5)/17
Let p = 326357/4 + -81589. Let -1/4*x**5 - 7/4*x**3 - 1 + 5/4*x**4 - p*x**2 + 2*x = 0. Calculate x.
-1, 1, 2
Let u = -98147 + 883331/9. Suppose -4/3*w**2 - u*w + 2/9*w**3 + 16/3 = 0. What is w?
-2, 2, 6
Let h(c) be the first derivative of c**5/5 + 399*c**4/4 - 400*c**3/3 + 7460. Suppose h(d) = 0. Calculate d.
-400, 0, 1
Let k(r) be the third derivative of -r**5/600 + 43*r**4/240 - 19*r**3/6 - 9156*r**2. Factor k(v).
-(v - 38)*(v - 5)/10
Let v(n) = n**3 + 23*n**2 + 23*n + 49. Let b be v(-22). Factor 12*a**3 - 42*a**3 + 6 + 3*a - 6*a**2 + b*a**3.
-3*(a - 1)*(a + 1)*(a + 2)
Determine a so that -51*a**3 - 6*a + 162*a + 120*a**4 + 683*a**5 + 264 - 306*a**2 - 710*a**5 = 0.
-1, 2, 22/9
Let w = 111 - 108. Factor 16 - 3*z - 31 + 16 + 6*z**2 - 7 + 3*z**w.
3*(z - 1)*(z + 1)*(z + 2)
Let f(k) be the first derivative of 4*k**3/3 + 4821*k**2/2 + 1205*k - 3917. Factor f(h).
(h + 1205)*(4*h + 1)
Let r(o) be the second derivative of o**4/108 + 374*o**3/27 - 7*o - 208. Factor r(y).
y*(y + 748)/9
Let i(b) be the first derivative of b**6/72 + 3*b**5/4 + 135*b**4/8 + 44*b**3/3 - 15. Let r(p) be the third derivative of i(p). Factor r(f).
5*(f + 9)**2
Let g(t) = t**3 + 5*t - 1. Let l(a) = 36*a**3 + 1581*a**2 + 2079*a + 429. Let d(i) = -15*g(i) + l(i). Factor d(x).
3*(x + 1)*(x + 74)*(7*x + 2)
Let b(u) be the first derivative of 5/6*u**3 + 55/2*u - 15*u**2 + 225. Suppose b(l) = 0. Calculate l.
1, 11
Let j(n) = n**3 - 11*n**2 + 6*n + 50. Let g be j(10). Let u be (g/14)/(0 - 25/(-30)). Factor 4/7*v + 10/7*v**2 - u.
2*(v + 1)*(5*v - 3)/7
Let f(y) be the second derivative of y**6/15 - 33*y**5/10 + 263*y**4/6 - 77*y**3 + 458*y. Find w, given that f(w) = 0.
0, 1, 11, 21
Let h be 5/((-15)/6) + 121332/(-84). Let a = h + 1449. Let -4/7*r**3 + 6/7*r + 4*r**2 - 10/7*r**4 - a - 2/7*r**5 = 0. Calculate r.
-3, -1, 1
Let d(m) = -5*m**3 - 177*m**2 - 1438*m + 1616. Let y(j) = j**2 - j + 2. Suppose 36*z - 39*z - 6 = 0. Let v(h) = z*y(h) - d(h). Find t such that v(t) = 0.
-18, 1
Let a(y) = -y**3 - 6*y**2 - y + 3. Let r be a(-6). Suppose -5*l + 1 = -r. Factor 3*b**3 + 8*b - l - 5*b**3 - 12*b**2 + 10*b**3 - 2*b**4.
-2*(b - 1)**4
Suppose -22 = -5*m - 3*o, m + 5*o = -2