4 - 86*v. Factor h(n).
-5*n**2*(n - 1)*(n + 1)
Let t = -113 - -116. Suppose 0 = -z + 5*y + 19 + 3, -t*y = z - 6. Let 8 - 13 - 11 + z*r**2 + 4*r**3 = 0. Calculate r.
-2, 1
Let y(u) be the first derivative of 3*u**4/16 - 35*u**3/8 + 213*u**2/8 + 30*u + 6363. Find w such that y(w) = 0.
-1/2, 8, 10
Let b(v) = v**4 + v**2 + 7*v - 3. Let u(t) = 10*t**4 - 80*t**3 - 520*t**2 - 1032*t - 760. Let x(h) = 8*b(h) - u(h). Factor x(j).
-2*(j - 46)*(j + 2)**3
Let i = 25909/11668 - -86/2917. Find w, given that -i + 3/4*w**2 - 3/2*w = 0.
-1, 3
Let s(q) = -2*q**3 - q**2 + 3*q. Let d(j) = -45*j**3 + 725*j**2 - 4275*j + 6435. Let f(k) = -d(k) + 20*s(k). Factor f(a).
5*(a - 143)*(a - 3)**2
Let y(r) = -10*r**2 + 494*r + 665. Let j(i) = 3*i**2 - 165*i - 214. Let q(t) = -21*j(t) - 6*y(t). Suppose q(n) = 0. Calculate n.
-1, 168
Let t(z) be the second derivative of -z**6/30 - 1937*z**5/100 - 83463*z**4/20 - 3611097*z**3/10 - 2146689*z**2/5 + 102*z - 19. Factor t(j).
-(j + 129)**3*(5*j + 2)/5
Let s be (-23)/(-4) + 1 - (-3)/(-4). Find r, given that 5*r + r**4 - 251*r**2 + r - s*r**3 + 250*r**2 = 0.
-1, 0, 1, 6
Solve -5/9*j**3 - 1 + 5*j + 4/9*j**4 - 35/9*j**2 = 0 for j.
-3, 1/4, 1, 3
Let d be (-200818)/(-248) - (-10)/4. Let w = d + -812. Determine o so that -1/4*o - w*o**2 + 0 = 0.
-1, 0
Let o = 96900 - 96900. Suppose 0*s + 4*s - 6 = u, -3*u + 10 = 2*s. Determine b so that 1/5*b**3 + o + 0*b + 0*b**u = 0.
0
Suppose -t + 2*v - 28 = -115, 5*v = -2*t + 156. Suppose 167042 + 12502*r + 2*r**4 - t*r**3 + 12*r**3 - 22327*r - 65*r**3 - 29479*r + 3468*r**2 = 0. Calculate r.
17
Suppose 0 = 5*w - 3*u - 12 + 9, 2*w = -u + 10. Let g = -10074 - -10081. Factor 7/2*n**2 + g*n + 4 + 1/2*n**w.
(n + 1)*(n + 2)*(n + 4)/2
Let s(u) = 3*u**4 + 2*u**3 + u**2 + 2*u - 1. Let k(r) = 17*r**4 - 322*r**3 + 624*r**2 + 1328*r - 2564. Let b(z) = k(z) - 4*s(z). Factor b(g).
5*(g - 64)*(g - 2)**2*(g + 2)
Let k(l) be the first derivative of -2/3*l - 1/27*l**3 + 61 - 5/18*l**2. Factor k(z).
-(z + 2)*(z + 3)/9
Let u(v) be the third derivative of v**6/2520 + 11*v**5/840 + 3*v**4/28 + 17*v**3/3 - 4*v**2 - 41*v. Let l(w) be the first derivative of u(w). Factor l(c).
(c + 2)*(c + 9)/7
Let m(o) be the second derivative of -o**7/735 - o**6/210 + o**5/14 - 121*o**2/2 - 2*o + 3. Let p(x) be the first derivative of m(x). Factor p(h).
-2*h**2*(h - 3)*(h + 5)/7
Let g(v) be the third derivative of v**5/60 + 21*v**4/8 + 57*v**3 + 351*v**2. Factor g(n).
(n + 6)*(n + 57)
Suppose j = 5*a + 560, -448 = 4*a + 2*j + j. Let n = -329/3 - a. Suppose -5/3*b**4 + n*b**5 + 2/3*b + 0 - 3*b**3 + 5/3*b**2 = 0. Calculate b.
-1, -2/7, 0, 1
Let a(x) be the first derivative of 2*x**5/35 - 17*x**4/14 + 88*x**3/21 - 4*x**2 + 1356. Factor a(r).
2*r*(r - 14)*(r - 2)*(r - 1)/7
Factor 34/7*h + 2/7*h**3 - 16/7 - 20/7*h**2.
2*(h - 8)*(h - 1)**2/7
Let x = -74386733/9185 + -9192/835. Let l = -8101 - x. Factor -2/11*u**3 + 72/11 - l*u + 26/11*u**2.
-2*(u - 6)**2*(u - 1)/11
Factor 0 + 0*p - 1/2*p**4 - 93/2*p**3 + 144*p**2.
-p**2*(p - 3)*(p + 96)/2
Suppose 2*f + 22 = 2*z, -2*z + 5556 = 5*f + 5611. Let 2*c**2 + 15/4*c**3 + 0*c + 3/2*c**4 - 1/4*c**5 + z = 0. What is c?
-1, 0, 8
Suppose -4*c + 13*u = 8*u + 4, 2*c - 20 = -3*u. Suppose -3*d**3 + 9*d + 26*d + c*d**3 - 11*d**2 - 25 = 0. Calculate d.
1, 5
Let n(i) be the second derivative of -i**7/84 + 17*i**6/45 + i**5/4 - 20*i**4/9 - 3*i**3/4 + 23*i**2/3 + 5*i + 89. Solve n(m) = 0 for m.
-4/3, -1, 1, 23
Let g(a) be the second derivative of a**5/130 - 19*a**4/13 + 1044*a**3/13 + 6728*a**2/13 + 4*a - 15. Determine o, given that g(o) = 0.
-2, 58
Factor 100*i**2 + 110*i**4 + 19558*i**3 + i**5 + 4*i**5 - 19353*i**3.
5*i**2*(i + 1)**2*(i + 20)
Let j = -119423 + 1552501/13. Suppose -j*r**2 - 162/13 + 36/13*r = 0. What is r?
9
Let n(h) = -h**3 + 3*h**2 - 6*h - 124. Let k be n(-4). Let i be -2 + -3*16/(-12). Factor 4/3*t**3 - k*t - 3 + 1/3*t**i.
(t - 3)*(t + 3)*(4*t + 1)/3
Let i be ((-7)/(-3))/(15/45). Suppose -5*q + 1 + 0 = -3*g, g - 5*q + i = 0. Factor -2/3*r**4 + 14/3*r**g + 40/3*r - 16/3 - 12*r**2.
-2*(r - 2)**3*(r - 1)/3
Let y = 51 + -48. Suppose 4 + 12*s**y - 665*s**4 + 667*s**4 + 9*s + 2 + 24*s**2 + 11*s = 0. What is s?
-3, -1
Let f(t) be the first derivative of -t**6/45 + 2*t**5/15 - t**4/3 + 4*t**3/9 - t**2/3 + 2*t/15 + 5187. Factor f(w).
-2*(w - 1)**5/15
Let j(l) = 3*l**3 - 101*l**2 - 142*l + 73. Let h be j(35). Suppose -h + 6*a + 3/4*a**3 - 15/4*a**2 = 0. What is a?
1, 2
Let w be ((-100)/1050)/(((-2)/70)/1). Suppose -p + 1/3*p**2 - w = 0. Calculate p.
-2, 5
Let t = -55101/4 + 27551/2. Factor -1 + 5/4*g**2 - t*g.
(g - 1)*(5*g + 4)/4
Solve 160/3*i + 88/3*i**2 - 22/3*i**4 + 0 - 12*i**3 - 1/3*i**5 = 0 for i.
-20, -2, 0, 2
Let j(g) be the third derivative of g**7/840 - 13*g**6/60 + 147*g**5/40 - 27*g**4 + 855*g**3/8 + 4*g**2 + 70*g. Factor j(f).
(f - 95)*(f - 3)**3/4
Let n(s) be the first derivative of -18/5*s**5 - 141/10*s**4 - 227 - 32/5*s - 328/15*s**3 - 84/5*s**2. Suppose n(a) = 0. Calculate a.
-1, -4/5, -2/3
Suppose -5*s + 26 = -v, 4*v + s - 6*s + 29 = 0. Let n be (-2)/4*v - (-535)/10. Factor 0*o**3 - 2*o**3 - 5*o - 12*o**2 - 4*o + 5*o**3 + n.
3*(o - 3)**2*(o + 2)
Let p(d) be the third derivative of -1/120*d**6 + 0 + 0*d**4 + 22*d**2 + 4*d**3 + 0*d - 1/8*d**5. Let m(o) be the first derivative of p(o). Factor m(v).
-3*v*(v + 5)
Suppose 13*x + 144 = 15*x. What is f in 178*f - 46*f + 6*f + 318*f + 722*f**2 + x = 0?
-6/19
Let s(a) be the second derivative of a**7/189 - 4*a**6/45 + 23*a**5/90 + 2*a**4/3 + 32*a - 2. Suppose s(j) = 0. What is j?
-1, 0, 4, 9
Let a(b) be the third derivative of b**7/420 + b**6/24 - 43*b**5/30 - 5*b**4/24 + 57*b**3/4 + 1825*b**2 - 2*b. Determine p, given that a(p) = 0.
-19, -1, 1, 9
Let z = 49 + -50. Let k be 2 + 1/((-1)/(-99)) + z. Find g, given that 1 - 88*g**3 - 4*g - k*g**2 + 20*g - 8 - 20*g**4 + 55 = 0.
-2, -1, 3/5
Let m be 4*5*(-2)/40. Let b be (-130)/(-25) - (-20)/(m - 3). Factor 3/5*y + b*y**3 - 9/5 + y**2.
(y - 1)*(y + 3)**2/5
Let r(i) be the second derivative of -25/36*i**3 + 29/2*i**2 - 1/360*i**5 + 0 - 5/72*i**4 + 3*i. Let s(a) be the first derivative of r(a). Factor s(m).
-(m + 5)**2/6
Let w(s) = s**2 + 14*s - 131. Suppose 0*u = 2*u, r - 3*u = 8. Let f(y) = -y**2 - 20*y + 197. Let a(c) = r*w(c) + 5*f(c). Let a(k) = 0. What is k?
-7, 3
Find b, given that -5*b**4 - 269*b - 396*b - 269*b**3 + 52*b**3 - 220 - 18*b**3 - 675*b**2 = 0.
-44, -1
Let t = 1581 - 14221/9. Let y(c) be the first derivative of -t*c**2 + 4/27*c**3 + 16/9*c + 22. Suppose y(k) = 0. Calculate k.
2
Suppose -6672 = -2009*l + 2319 - 1327 + 372. Determine g, given that 122/3*g**2 + 800/3 + 1/6*g**l + 6*g**3 - 240*g = 0.
-20, 2
Let n(f) be the third derivative of -1/60*f**5 - f + 1/210*f**7 + 5/12*f**6 - 25/12*f**4 + 0 + 227*f**2 + 0*f**3. Determine u so that n(u) = 0.
-50, -1, 0, 1
Factor -296348 + 296844 + c**2 - 60*c - 437*c.
(c - 496)*(c - 1)
Let p(i) be the second derivative of i**6/30 + 89*i**5/50 + 129*i**4/5 - 108*i**3/5 + 14*i + 20. Factor p(m).
m*(m + 18)**2*(5*m - 2)/5
Let n(w) be the first derivative of w**6/6 + 108*w**5/5 + 755*w**4 + 5510*w**3/3 - 3021*w**2/2 - 5618*w + 10278. What is x in n(x) = 0?
-53, -2, -1, 1
Let x(w) be the second derivative of -w**5/65 + 161*w**4/78 - 3280*w**3/39 + 1600*w**2/13 + 984*w. Factor x(y).
-2*(y - 40)**2*(2*y - 1)/13
Factor 138 - 276 + 17*l**3 + 141 - 132*l**2 - 193*l**2 + 158*l + 147*l**3.
(l - 1)**2*(164*l + 3)
Let k(y) = 23*y**2 - 68*y - 257. Let l(x) = 54*x**2 - 159*x - 600. Let m(n) = -33*k(n) + 14*l(n). Factor m(u).
-3*(u - 9)*(u + 3)
Factor -45*h + 25 + 9/2*h**3 + 1/4*h**4 + 61/4*h**2.
(h - 1)**2*(h + 10)**2/4
Suppose -13*t - 90 = -31*t. Factor 2*h**4 - 19*h**5 + t*h**4 + 20*h**5 + 12*h**2 + 3*h**4 - 4*h**4 + 13*h**3 + 4*h.
h*(h + 1)**2*(h + 2)**2
Let d(k) be the first derivative of -20*k**5 + 30*k**4 - 18*k**3 + 27*k**2/5 - 81*k + 113. Let z(o) be the first derivative of d(o). Factor z(y).
-2*(10*y - 3)**3/5
What is g in -165 - 13*g**2 + 38*g**2 + 20*g**2 + 25863*g**3 - 25858*g**3 - 125*g = 0?
-11, -1, 3
Let d(o) = o**3 + 7*o**2 + 16*o + 34. Let u be d(-5). Suppose i + 2 = -0*i - 2*n, 2*n - 10 = -u*i. Factor 0 + 2/9*t**i + 0*t + 4/9*t**3 + 2/9*t**2.
2*t**2*(t + 1)**2/9
Let y(n) be the first derivative of 0*n**4 + 1/160*n**5 - 25 + 4*n**2 - 1/16*n**3 +