/11*r**2 - 37 + 0*r - 1/22*r**4. Solve a(h) = 0.
0, 2
Let t(c) be the third derivative of 1/960*c**6 + 1/240*c**5 + 0 + 13*c**2 - 5/12*c**3 - 19/192*c**4 + 0*c. Factor t(b).
(b - 4)*(b + 1)*(b + 5)/8
Let l(o) be the third derivative of 53*o**6/24 + 187*o**5/3 + 13405*o**4/24 + 245*o**3 - 1599*o**2 - 2*o. Solve l(n) = 0 for n.
-7, -6/53
Let -32/5*d + 6*d**2 - 6*d**4 + 34/5*d**3 - 2/5*d**5 + 0 = 0. Calculate d.
-16, -1, 0, 1
Let 45 + 115*n**3 - 160 + 295*n**2 + 63 + 5*n**4 - 248 - 115*n = 0. What is n?
-20, -3, -1, 1
Find r, given that -179 + 446*r**4 - 158 - 11*r**2 + 292*r - 19*r**3 + 113 - 37*r**2 - 447*r**4 = 0.
-14, -8, 1, 2
Let w(x) be the third derivative of x**5/690 - 3*x**4/92 - 120*x**3/23 + 7749*x**2. What is k in w(k) = 0?
-15, 24
Factor 90*b - 330*b - 22955*b**4 - 352*b**2 + 22959*b**4 - 108*b**3.
4*b*(b - 30)*(b + 1)*(b + 2)
Factor 4863/2*z + 1389/4 + 21/4*z**2.
3*(z + 463)*(7*z + 1)/4
Let g be (-4)/10 - (-27)/5. Let q = -98780 + 98783. Factor 3*t + 3/4*t**g - q*t**2 + 3/2*t**4 + 0 - 9/4*t**3.
3*t*(t - 1)**2*(t + 2)**2/4
Factor 10*i - 60 + 2/5*i**2.
2*(i - 5)*(i + 30)/5
Let 0 + 818/9*y**2 - 2/9*y**3 + 0*y = 0. Calculate y.
0, 409
Let k(t) = -5*t**4 - 49*t**3 - 217*t**2 - 295*t - 124. Let o(w) = -17*w**4 - 148*w**3 - 651*w**2 - 884*w - 371. Let n(u) = -7*k(u) + 2*o(u). Factor n(h).
(h + 1)**2*(h + 3)*(h + 42)
Let f(x) = x**2 + x + 1. Let h(k) = k**3 + 4*k**2 + 9*k**2 + 7*k**2 - 8 - 8*k - 30*k**2 + 5*k**2. Let o = -4 + 7. Let z(s) = o*h(s) + 24*f(s). Factor z(u).
3*u**2*(u + 3)
Let g(n) = n. Let d(o) = -3*o**2 - 8*o. Suppose -2*r - 8 = -2*l, 5*r - 5*l - 10 = 6*r. Let v = -7 + 6. Let q(w) = r*g(w) + v*d(w). Factor q(z).
3*z*(z + 1)
Let z(c) be the first derivative of -10/7*c**2 - 12/7*c - 198 + 1/7*c**4 - 4/21*c**3. Factor z(r).
4*(r - 3)*(r + 1)**2/7
Let h(o) = o**3 - 4*o**2 - 7*o - 8. Let a be h(4). Let i be 0 - ((-32)/(-10))/(a + 30). Solve 0*x + i*x**3 - 2/15*x**2 + 0 = 0.
0, 1/4
Let l(t) be the second derivative of t**8/224 - t**7/140 + 8*t**2 + 2*t - 6. Let y(h) be the first derivative of l(h). Suppose y(g) = 0. What is g?
0, 1
Let t(u) be the first derivative of -2*u**3/15 + 28*u**2/5 + 66*u - 3211. Factor t(d).
-2*(d - 33)*(d + 5)/5
Factor -165/4*k + 1/4*k**2 - 83/2.
(k - 166)*(k + 1)/4
Let a(q) be the second derivative of q**7/3 - q**6/3 - 27*q**5/2 - 115*q**4/6 + 188*q**3/3 + 60*q**2 + 5094*q. Determine x, given that a(x) = 0.
-3, -2, -2/7, 1, 5
Let h(p) be the third derivative of -p**6/60 + 2*p**5/3 - 13*p**4/12 - 38*p**3 - p**2 - 100. Factor h(b).
-2*(b - 19)*(b - 3)*(b + 2)
Let v be (56/(-7) + 5)*3*-1. Let y(b) = b**3 - 12*b**2 + 27*b + 4. Let a be y(v). Let 15*n**3 - 3*n**2 - 3*n**a + 3*n**3 - 40*n + 34*n - 6*n**5 = 0. What is n?
-2, -1/2, 0, 1
Factor 70 - 2/3*j**2 + 64/3*j.
-2*(j - 35)*(j + 3)/3
Let w(d) be the first derivative of 14*d**2 + 85 + 5*d**4 + 8*d + 12*d**3 + 4/5*d**5. Factor w(z).
4*(z + 1)**3*(z + 2)
Let j(t) be the third derivative of -t**5/15 - 41*t**4/3 + 112*t**3 - t**2 - 5*t - 289. Find d, given that j(d) = 0.
-84, 2
Let a(i) be the third derivative of -1/120*i**6 + 0*i + 48*i**2 - 7/40*i**5 + 17/2*i**3 + 0*i**4 + 0. Let j(c) be the first derivative of a(c). Solve j(o) = 0.
-7, 0
Suppose -4*b = -r + 89, 5*b = -6*r + 3*r + 335. Solve 296*u**2 + 24*u**3 - 31*u**4 - 405*u**4 - 4*u**4 - 7*u**3 + r*u**3 + 72*u - 50*u**5 = 0.
-9, -2/5, 0, 1
Let y be (-10 - 2)/(-57 + (7 - 7)). Let a = 5037/19 + -265. Let 2/19*p**2 - a*p**3 + y*p + 0 = 0. Calculate p.
-1, 0, 2
Let n be (144/45)/(4/10). Suppose -n = 3*g - 7*g. Let w + 2*w**2 + 5*w**2 - 2*w - 8*w**g = 0. Calculate w.
-1, 0
Let q(d) be the second derivative of 3*d**5/4 + 99*d**4/2 - 285*d**3/2 + 123*d**2 + 64*d - 22. What is n in q(n) = 0?
-41, 2/5, 1
Suppose -5 + 1 = f, 5*f = p - 23. Suppose -11*k - 10*k + 84 = 0. Let -20*h**4 + 30*h**2 + 14 + 25*h + p*h**3 - 20*h**2 - 5*h**5 - 23*h**3 - k = 0. What is h?
-2, -1, 1
Let f(h) be the first derivative of -h**6/1320 - h**5/220 + 3*h**4/88 - 5*h**3/66 - 61*h**2/2 + 69. Let p(q) be the second derivative of f(q). Factor p(r).
-(r - 1)**2*(r + 5)/11
Let o(q) be the second derivative of 18*q**2 + 1/3*q**4 - 59*q + 0 + 4*q**3. Find k, given that o(k) = 0.
-3
Solve 0 - 110/23*p + 2/23*p**3 - 12/23*p**2 = 0 for p.
-5, 0, 11
Suppose 0 = -m, -k + 5 = m - 5. Suppose -6 = 2*f - k. Let 0*a - 5*a**2 + 20 - f*a + 2*a = 0. Calculate a.
-2, 2
Let i(r) be the third derivative of 5*r**7/14 - 213*r**6/4 + 44509*r**5/20 + 9159*r**4/2 + 3698*r**3 - 9*r**2 - 106*r. Let i(m) = 0. Calculate m.
-2/5, 43
Let f(h) be the second derivative of h**7/2940 - h**6/1260 - h**5/105 + h**4/21 - 62*h**3/3 + 119*h. Let o(y) be the second derivative of f(y). Factor o(n).
2*(n - 2)*(n - 1)*(n + 2)/7
Suppose 0 = -123*t + 106 + 878. Factor -2/3*w**5 - 26*w**3 + 10*w**4 - t*w + 0 + 74/3*w**2.
-2*w*(w - 12)*(w - 1)**3/3
Let j(p) = -7*p**2 - 243*p + 1255. Let d(f) = 16*f**2 + 485*f - 2510. Let b(h) = 3*d(h) + 7*j(h). Factor b(g).
-(g - 5)*(g + 251)
Let h = -2079 - -2093. Let u be h/11 + 124/341. Factor 12/11*d**2 + 0 - u*d**3 - 2/11*d.
-2*d*(3*d - 1)**2/11
Let i(x) be the first derivative of -161 + 5*x**3 + 3/4*x**4 + 12*x**2 + 12*x. Find n, given that i(n) = 0.
-2, -1
Let k = 644/51 + -1244/357. Factor -256/7 - k*w - 4/7*w**2.
-4*(w + 8)**2/7
Suppose 0*t = t - 178. Suppose 3*x - t = -o, -4*x + 2*o - o + 249 = 0. Factor 8*n + 16*n + 9 + x*n**4 + 22*n**2 - 60*n**4 + 8*n**3.
(n + 1)**2*(n + 3)**2
Let a be 10/2*((-520)/(-50) - 10). Factor -2 - 30*w - 11 - 11 - 8 - 2*w**a + 4*w**2.
2*(w - 16)*(w + 1)
Let l(u) be the second derivative of -1/75*u**6 - 4 - 3/50*u**5 - 1/15*u**4 + u + 0*u**2 + 0*u**3. Suppose l(g) = 0. Calculate g.
-2, -1, 0
Let x = -211883/12 - -17657. Let d(o) be the second derivative of -7/40*o**5 - o**2 + 0 - 8*o - 1/24*o**4 + 2/3*o**3 + x*o**6 - 1/84*o**7. Solve d(q) = 0 for q.
-1, 1, 2
Let v = 3/62312 + 249221/560808. Determine w so that 0 - 8/3*w**3 - v*w + 2*w**2 + 10/9*w**4 = 0.
0, 2/5, 1
Find a such that -9958*a**2 + 1161*a**3 - 7224*a + 610 + 1814*a**2 - 337*a**3 - 4*a**4 - 16*a**4 + 1154 = 0.
-1, 1/5, 21
Solve 15/4*d + 3/8*d**2 - 33/8 = 0 for d.
-11, 1
Let t(z) = -9*z**2 - 40*z - 75. Let y(m) = -8*m**2 + 1. Let b(l) = -t(l) + y(l). Factor b(p).
(p + 2)*(p + 38)
Factor 472/3*h + 0 - 2/3*h**2.
-2*h*(h - 236)/3
Determine d, given that 0*d + 0 + 22/15*d**3 + 12/5*d**4 + 2/15*d**5 - 68/5*d**2 = 0.
-17, -3, 0, 2
Let x(d) be the first derivative of 3*d**6/2 + 56*d**5/5 - 24*d**4 - 218*d**3 + 535*d**2/2 + 150*d - 1294. Solve x(s) = 0 for s.
-5, -2/9, 1, 3
Let q(t) = -t**3 - t**2 + t + 108. Let m be q(0). Solve 52*i + m - 18 - 3*i**2 - 42 + 4*i**2 + 3*i**2 = 0.
-12, -1
Suppose 0 = 7*v - 2*l - 67, 5*v + 274*l - 130 = 279*l. Factor 28/5*z**2 - 28/5 + 4/5*z**v - 4/5*z.
4*(z - 1)*(z + 1)*(z + 7)/5
Factor 3/8*y**3 - 15/8*y**2 + 27/2 - 9/2*y.
3*(y - 6)*(y - 2)*(y + 3)/8
Let a(w) = 6*w**2 - 12*w - 18. Let g(t) = -t**2 + 1. Suppose 7*v - 6*v - 2 = 2*n, 2*v = -2*n - 8. Let h(y) = v*g(y) - a(y). Solve h(k) = 0.
-1, 4
Let z = 987237 - 987237. Factor 0 + 2/3*w**2 + 1/6*w**5 + z*w + 0*w**3 - 1/2*w**4.
w**2*(w - 2)**2*(w + 1)/6
Let g(v) = -v**3 - 22*v**2 + 24*v + 11. Let r be g(-23). Let i be ((-3)/(r/(-62)))/(-2) + 1. Factor -i + 5/4*k**2 + 15/2*k.
5*(k - 1)*(k + 7)/4
Suppose 90 = 5*g - 5*h, 2*g + 5*h - 15 = 7. Let k be -20 + g - (-1 + 21/(-3)). Factor -26/7*m**2 + 24/7*m + 12/7*m**3 - 8/7 - 2/7*m**k.
-2*(m - 2)**2*(m - 1)**2/7
Factor 5/3*a**4 + 20 + 65*a**2 + 185/3*a + 25*a**3.
5*(a + 1)**3*(a + 12)/3
Suppose 0 = 3*r - b - 14, 2*r - 2*b - 4 = 12. Let g be r*(-714)/(-198) - 9. Factor 12/11*n**3 + g*n + 2/11*n**4 + 24/11*n**2 + 6/11.
2*(n + 1)**3*(n + 3)/11
Suppose -3*k + 5*k - 6 = 0. Let o = 108 - 106. Factor -13*n + 26 + 3 + o*n**2 - k*n + 3.
2*(n - 4)**2
Factor 40*s + 66*s**3 + 254 + 11*s**2 - 254 + 3*s**2 - 52*s.
2*s*(3*s - 1)*(11*s + 6)
Let o be 24 + 10/((-1920)/3888). Solve -o*p**5 - p**4 + 49/4*p**3 - 9/2*p**2 - 5*p + 2 = 0 for p.
-2, -2/3, 2/5, 1
Let p(d) be the third derivative of -d**6/180 - d**5/30 + 17*d**3/3 + 3*d**2 - 13. Let u(y) be the first derivative of p(y). Factor u(v).
-2*v*(v + 2)
Let m be (-200)/(-52) + (-4)/(-26). Suppose w - 5 - 2 = -4*d, -4*w + m = 4*d. Let 202*z - 4*z**d + 6*z**3 - 2*z**5 - 202*z = 0. Calculate z.
-2, 0, 1
Let w(b) 