**5/5 - 109*n**4/3 + 36*n**3 + 961*n. Let h(u) = 0. Calculate u.
0, 1, 54
Let s(w) be the first derivative of -4/9*w**6 - 68/3*w - 164/15*w**5 - 172/3*w**2 - 632/9*w**3 - 128/3*w**4 - 152. Find v such that s(v) = 0.
-17, -1, -1/2
Factor -4*n**2 + 19*n**2 + 427*n**3 + 21*n**2 + 4*n**4 - 47 - 471*n**3 + 44*n + 7.
4*(n - 10)*(n - 1)**2*(n + 1)
Let y(c) be the first derivative of -15/4*c**4 - 2*c**3 + 0*c - 12/5*c**5 - 1/2*c**6 + 0*c**2 + 11. Suppose y(x) = 0. What is x?
-2, -1, 0
Let x(t) be the first derivative of 0*t + 1/6*t**3 + 187 - 9/4*t**2. Factor x(u).
u*(u - 9)/2
Let v be ((-1272)/(-5))/((-90)/100). Let x = v - -283. Solve d + 2/3 + x*d**2 = 0 for d.
-2, -1
Let s be (8 + -965 + 4/2)*1. Let m = 6689/7 + s. Factor -4/7*q**4 + 0 + m*q**3 + 16/7*q**2 - 16/7*q.
-4*q*(q - 2)*(q - 1)*(q + 2)/7
Let t be (-1 + (-3 - -23))*(3 - 8). Let p = 146 + t. Factor -107*b + 51*b + p*b + 10 - 5*b**2.
-5*(b - 1)*(b + 2)
Let j(n) be the third derivative of -7*n**2 + 65/96*n**4 - 1/48*n**5 + 35/12*n**3 - 3*n + 0. Determine a, given that j(a) = 0.
-1, 14
Let w(o) be the third derivative of -1/240*o**6 + 2*o**2 + 5/48*o**4 + 0*o**3 - 1/30*o**5 + 0*o + 146. Factor w(z).
-z*(z - 1)*(z + 5)/2
Let f = -110 - -112. Solve 94*s**2 - 98*s**f + 8*s - 28*s + 24 = 0 for s.
-6, 1
Let w be ((-98)/735)/(372/(-45) + 8). Factor -6 - 13/2*l - w*l**2.
-(l + 1)*(l + 12)/2
Let f(n) be the second derivative of -n**5/10 + 11*n**4/2 + 70*n**3/3 + 12*n - 20. Factor f(x).
-2*x*(x - 35)*(x + 2)
Suppose 5*b + 600 = 5*t, 31*t = 33*t + 4*b - 210. Let l be 110 - t - 2*-4. Factor -3/8*a**l + 1/2 + 0*a - 7/8*a**2.
-(a + 1)*(a + 2)*(3*a - 2)/8
Let l(w) be the second derivative of 5*w**4/48 + 685*w**3/4 + 844605*w**2/8 - 339*w. Factor l(z).
5*(z + 411)**2/4
Suppose -2*y = 5*w - 21, -4*w = -y - 0*w - 9. Suppose -y*m = 4*l - 11, -3*m = m - 3*l - 23. Factor m + 0 - 5*v**3 - 15*v**2 + 15.
-5*(v - 1)*(v + 2)**2
Let m(c) be the third derivative of c**7/42 - c**6/8 - c**5/4 + 55*c**4/24 - 5*c**3 - 23*c**2 + 22. Factor m(s).
5*(s - 3)*(s - 1)**2*(s + 2)
Determine d, given that -26/3 + 25/3*d + 1/3*d**2 = 0.
-26, 1
Let z = 3057 + -9139/3. Let y(f) be the first derivative of 4*f**2 + 10 - 2*f**5 + 0*f + 17/2*f**4 - z*f**3. What is r in y(r) = 0?
0, 2/5, 1, 2
Suppose 0 = r - 20 + 14. Let h be ((-22)/r)/(9/(-27)). Find x, given that 7*x + 4*x**2 + 16 - h*x - 12*x + 0*x = 0.
2
Let t(q) be the second derivative of -q**4/8 - 7*q**3/4 + 276*q**2 + 4*q + 306. Factor t(w).
-3*(w - 16)*(w + 23)/2
Determine m so that 1184/9*m**3 + 1024/9*m + 214/9*m**4 - 2560/9 + 14/9*m**5 + 2624/9*m**2 = 0.
-4, 5/7
Let d be (15/50)/(9273/28100). Factor 32/11 + 32/11*x + d*x**2 + 1/11*x**3.
(x + 2)*(x + 4)**2/11
Let c(r) be the first derivative of r**3/12 + 9*r**2/2 - 117*r/4 + 890. Let c(q) = 0. What is q?
-39, 3
Let v(m) = -8*m - 133. Let x be v(-15). Let d be 2/5 + 0/x. Factor d*n - 1/5*n**2 - 1/5.
-(n - 1)**2/5
Let u(q) be the second derivative of -5/3*q**3 - 63*q - 1/12*q**4 + 0*q**2 + 0. Factor u(b).
-b*(b + 10)
Let k(g) = -44*g**2 + 45*g - 71. Let j(p) = -23*p**2 + 19*p - 36. Let d(l) = -11*j(l) + 6*k(l). Factor d(r).
-(r - 5)*(11*r - 6)
Let r = -76733 + 76735. What is o in -1/3*o**4 - o**r - 1/3*o + 0 - o**3 = 0?
-1, 0
Let c(k) = 32*k + 14. Let n be c(2). Let a = 83 - n. Factor 0 + 5/3*u**2 - 1/3*u**a + 2/3*u - 1/3*u**4 + u**3.
-u*(u - 2)*(u + 1)**3/3
Let y(v) = -3*v - 16. Let h be y(-6). Suppose h*m - 2 = -0*c + c, c + 4*m = 10. Factor 16 + 4*g**4 + 52*g**c - g**3 + 26*g + 22*g + 33*g**3 - 8*g**3.
4*(g + 1)**2*(g + 2)**2
Let p(m) be the first derivative of 0*m**5 + 0*m**3 + 0*m - 1 - 1/2*m**2 + 0*m**4 + 1/280*m**6. Let w(k) be the second derivative of p(k). Factor w(f).
3*f**3/7
Let s(w) be the first derivative of w**3/18 + 41*w**2/12 + 44*w + 4628. Factor s(f).
(f + 8)*(f + 33)/6
Suppose 541*g = 39 + 2125. Factor -5/2*o**3 + 5/2*o + 5/6*o**2 - 5/6*o**g + 0.
-5*o*(o - 1)*(o + 1)*(o + 3)/6
Let j be -2 + 3/6 + (-1089)/(-6). Factor -539 - 21*f**2 - j*f - 19*f**2 + 35*f**2 - 1081.
-5*(f + 18)**2
Let n(d) be the first derivative of 8/27*d**3 + 1/54*d**4 + 7/9*d**2 - 21*d - 21. Let p(w) be the first derivative of n(w). Determine f, given that p(f) = 0.
-7, -1
Factor -s**4 + 39*s**3 + 1334*s**2 + 2*s**4 - 68*s**3 + 8575 - 10290*s + 458*s**2 - 49*s**3.
(s - 35)**2*(s - 7)*(s - 1)
Let s(y) = 30*y**2 - 855*y - 831. Let u(r) = -23*r**2 + 642*r + 623. Let n(t) = 7*s(t) + 9*u(t). Suppose n(x) = 0. What is x?
-1, 70
Let l(h) be the third derivative of -h**6/180 - 47*h**5/90 - 511*h**4/36 - 539*h**3/3 - 56*h**2 - 29*h. Factor l(c).
-2*(c + 7)**2*(c + 33)/3
Factor -34/7*h**3 + 40/7 - 118/7*h + 114/7*h**2 - 2/7*h**4.
-2*(h - 1)**3*(h + 20)/7
Let q(k) be the second derivative of 11*k**4/18 + 41*k**3/3 + 22*k**2/3 + 1293*k. Factor q(o).
2*(o + 11)*(11*o + 2)/3
Let t(i) be the third derivative of i**6/40 - 41*i**5/20 - 177*i**4/8 - 135*i**3/2 - i**2. Factor t(s).
3*(s - 45)*(s + 1)*(s + 3)
Let y(g) be the first derivative of -g**6/1080 + g**5/90 - g**4/24 - 194*g**3/3 - 186. Let l(i) be the third derivative of y(i). Solve l(m) = 0 for m.
1, 3
Let o(b) = 12*b**2 + 2296*b + 108132. Let c(k) = -4*k**2 - 766*k - 36037. Let w(m) = -8*c(m) - 3*o(m). Factor w(i).
-4*(i + 95)**2
Let h(p) be the third derivative of -p**6/40 - 41*p**5/10 - 239*p**4/8 - 79*p**3 + 8*p**2 + 294. Factor h(o).
-3*(o + 1)*(o + 2)*(o + 79)
Let d = -403 - -407. Factor -5*q**2 - 25 + 5*q**3 - 4*q**d + 25 - 5*q**5 + 9*q**4.
-5*q**2*(q - 1)**2*(q + 1)
Let k be 0 - ((-74)/19 - 10/95). Factor 11*z**2 + 16 - k + 8*z + 2*z**2 - 17*z**2.
-4*(z - 3)*(z + 1)
Let z = 158398/17265 - -88/3453. Factor -46/5*b**2 - 1/5*b**3 + 1/5*b + z.
-(b - 1)*(b + 1)*(b + 46)/5
Let k(t) be the first derivative of 3/10*t**3 - 52 + 1/5*t - 1/8*t**4 - 7/20*t**2 + 1/50*t**5. Factor k(s).
(s - 2)*(s - 1)**3/10
Let m be (((-9)/3)/(-1))/((-1)/7). Let f = m + 24. Let 9*c + 7*c**3 - 8*c**3 - 2*c**3 - 3*c**2 - f*c = 0. Calculate c.
-2, 0, 1
Let f(q) be the second derivative of -q**7/14 + q**6/5 - q**4/2 + q**3/2 - 3*q + 113. Let f(r) = 0. Calculate r.
-1, 0, 1
Let u(a) be the third derivative of 1/735*a**7 + 0 - 5*a**2 + 0*a**6 - 1/70*a**5 - 1/42*a**4 + 0*a**3 + 7*a. Factor u(g).
2*g*(g - 2)*(g + 1)**2/7
Let g(a) = 23*a - 181. Let l be g(8). Let s be -5 - (l + -2 + -9). Factor 0*k + 4/9*k**2 + 0 + 2/9*k**s - 2/9*k**4.
-2*k**2*(k - 2)*(k + 1)/9
Suppose 0 = 9*g - 8*g + 2*n, 0 = 2*g - 2*n + 5*n. Suppose -22*v + 26*v - 8 = 0. Solve 7/2*u**5 + 6*u**4 - u**v + g + 3/2*u**3 + 0*u = 0.
-1, 0, 2/7
Let k = -807 + 832. Let d be (-30)/k*(-3)/6*5. Suppose -4/3*l**4 - 22*l + 20/3*l**d + 16/3*l**2 + 12 - 2/3*l**5 = 0. What is l?
-3, 1, 2
Suppose 5*i - 3*g = 4 - 10, -9*i = 2*g - 4. Suppose 2/3*q**2 - 5/6*q**3 + 0 + i*q + 1/6*q**4 = 0. Calculate q.
0, 1, 4
Let y(l) be the second derivative of -5*l**7/42 + l**6 + 14*l**5 + 5*l**4/2 - 995*l**3/6 + 330*l**2 + 1274*l. Solve y(f) = 0 for f.
-4, -3, 1, 11
Let j(r) be the first derivative of -166/3*r**3 + 1/2*r**4 - 3362*r + 1763*r**2 - 185. What is c in j(c) = 0?
1, 41
Let h(d) = 3*d**2 - 78*d + 423. Let m(l) = -l - 1. Let f(u) = h(u) + 3*m(u). Find x, given that f(x) = 0.
7, 20
Let c = 1157 - 8097/7. Suppose -3*l = -3*z + 12, -8 = -8*z + 5*z + l. Factor -2/7 - c*o**z + 4/7*o.
-2*(o - 1)**2/7
Let a(x) be the third derivative of -13*x**5/150 + 5*x**4/3 + 32*x**3/15 + 1423*x**2. Factor a(v).
-2*(v - 8)*(13*v + 4)/5
Let q(f) = -332*f + 38182. Let s be q(115). Factor 6 + 1/4*h**s + 25/4*h.
(h + 1)*(h + 24)/4
Let f = 40 - 37. Suppose 0*k = f*k - 6. Factor -7 - 5 - 100*z - 124*z**k - 64*z**3 - 51*z**2 - 49*z**2.
-4*(z + 3)*(4*z + 1)**2
Let m(r) be the first derivative of -5*r**4/28 + 9*r**3/14 + 103*r + 35. Let v(h) be the first derivative of m(h). Find p, given that v(p) = 0.
0, 9/5
Suppose -759*s = -357*s - 374*s - 168. Let 0 - 3*n + s*n**4 + 17/4*n**3 - 9/4*n**5 - 5*n**2 = 0. Calculate n.
-2/3, 0, 1, 3
Let r = -7/181936 - -3274883/909680. Find u, given that -352/5 - 150*u**3 + r*u**4 - 280*u - 1816/5*u**2 = 0.
-1, -2/3, 44
Let n be 3 + (3/(-6))/(5/10). Factor -2*b**n - 12*b + 10*b**4 - 278*b**3 + 290*b**3 - 2*b**2 - 6*b**4.
4*b*(b - 1)*(b + 1)*(b + 3)
Let d(g) be the first derivative of g**6/2 - 41*g**5/5 - 107*g**4/4 - 79*g**3/3 - 8*g**2 + 4514. Solve d(p) = 0 for p.
-1, -1/3, 0, 16
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