 + s**5/15 - 8*s**3 + 12*s**2. Let v(y) be the first derivative of h(y). Factor v(k).
4*k*(k + 2)
Let q(h) be the third derivative of h**6/30 - 13*h**5/15 + 22*h**4/3 - 64*h**3/3 + 375*h**2 - 5*h. Determine u, given that q(u) = 0.
1, 4, 8
Let t be (1/(-2 - 1))/((-53)/(-28779)). Let g = t + 183. Suppose 2*b**2 + 2/3*b - 2/3*b**3 - g = 0. What is b?
-1, 1, 3
Let z = 3/295 + 47/1180. Let s(q) be the third derivative of z*q**5 + 0*q**3 + 3/8*q**4 + 0*q + 0 - 15*q**2. Solve s(w) = 0.
-3, 0
Let k(m) = -3*m**2 - 54*m - 315. Let x(r) = 2*r**2 + 41*r + 315. Let n(s) = -3*k(s) - 2*x(s). Let n(y) = 0. What is y?
-9, -7
Let u(x) = -x**5 - 36*x**4 + 319*x**3 + 760*x**2 + 396*x + 4. Let z(s) = s**5 - s**4 + s**3 + 2*s - 2. Let w(v) = u(v) + 2*z(v). Find f such that w(f) = 0.
-1, 0, 20
Let s be -3 - (1 - 1) - -8. Factor 100*p**2 + 6*p**4 + 4*p**4 - 35*p**3 - 60*p - p**5 + 6*p**s - 22*p**4 + 2*p**4.
5*p*(p - 2)**2*(p - 1)*(p + 3)
Suppose -4*d = 4*c + 24, -d - 1 = -4*c + 10. Let k(j) = -j**2 - 8*j - 5. Let o be k(d). What is a in 3*a**3 - 16*a - 18*a**o - 24 + 43*a + 9*a = 0?
2
Let w = -589/5 + 119. Suppose 0 = 30*o - 4*o - 78. Solve -4/5*a**o + 0 + w*a**2 - 2/5*a**4 + 0*a = 0.
-3, 0, 1
Factor -1783323/2 - 4629/2*f**2 + 1787949/2*f + 3/2*f**3.
3*(f - 771)**2*(f - 1)/2
Let u = 320050 - 960140/3. Solve u*g**2 + 0 - 40/3*g + 5/3*g**4 + 25/3*g**3 = 0.
-4, -2, 0, 1
Let l be 24/9*9/6*(-3)/(-3). Let x(d) be the first derivative of -l + 1/2*d + 3/8*d**2 + 1/12*d**3. Factor x(p).
(p + 1)*(p + 2)/4
Let n(x) = -116*x - 923. Let c be n(5). Let h = -1499 - c. Suppose -6/11*s**2 - 2/11*s**h - 2/11*s - 6/11*s**3 + 0 = 0. Calculate s.
-1, 0
Let h = -20 + 28. Factor h + 37*u - 44*u + u**2 - 3*u**2 + u**2.
-(u - 1)*(u + 8)
Let p(d) be the third derivative of d**7/525 - 3*d**6/50 + 2*d**5/25 + 41*d**4/30 + 17*d**3/5 - d**2 + 1237*d. Let p(r) = 0. What is r?
-1, 3, 17
Let u(r) = -r**2 + 9*r - 1. Let n(b) = -b**3 + 47*b**2 - 466*b + 1185. Let a(z) = 4*n(z) + 36*u(z). Let a(v) = 0. What is v?
7, 24
Solve 16/5*z - 6*z**3 + 0 + 36/5*z**2 - 22/5*z**4 = 0.
-2, -4/11, 0, 1
Let y = 5/2368 - -37603/134976. Let m(f) be the first derivative of 33/38*f**4 + 20/57*f**3 + 1 + 1/19*f**2 + y*f**6 + 0*f + 16/19*f**5. Factor m(t).
2*t*(t + 1)**2*(4*t + 1)**2/19
Let p(h) be the first derivative of 3*h**4/32 + 89*h**3/4 - 111. Determine z, given that p(z) = 0.
-178, 0
Let g(u) = u**2 + 1. Let x = -75 + 47. Let i(q) = -8*q**2 + q - 5. Let w(t) = x*g(t) - 4*i(t). Factor w(a).
4*(a - 2)*(a + 1)
Let w = 551 + -582. Let n be 4/2 + (15 - w/(-2)). Factor 0 + n*u**3 - 5/6*u**4 - 7/6*u**2 + 1/6*u**5 + 1/3*u.
u*(u - 2)*(u - 1)**3/6
Solve -883*f**2 - 466*f - 12*f**4 - 490*f + 4547050*f**3 + 16*f**5 - 168 - 377*f**2 - 4547550*f**3 = 0.
-3, -2, -1, -1/4, 7
Let l(z) be the first derivative of 11*z**4 + 0*z - 8*z**3 - 16/5*z**5 - 18 - 2/3*z**6 + 0*z**2. Suppose l(j) = 0. What is j?
-6, 0, 1
Suppose -2*f = 5*h + 17, 4 + 16 = -4*h. Factor -f*u**5 - u**3 + 3*u**2 - 18*u**4 + 15*u**4 + 5*u**5.
u**2*(u - 3)*(u - 1)*(u + 1)
Determine l so that 26*l - 338*l**2 + 84*l + 413*l**2 - 101 + 10*l**3 + 26 = 0.
-5, -3, 1/2
Let v(z) be the third derivative of -1/20*z**5 - 70*z**2 - 1/210*z**7 + 0*z**4 + 0*z**3 + 0*z - 1/24*z**6 + 0 + 1/336*z**8. Solve v(n) = 0.
-1, 0, 3
Suppose 3*c + 7*s - 98 = 5*s, -2*c + s + 77 = 0. Let m be 36/(-108)*5/((-50)/c). Factor m*x + 9/5 - 3/5*x**2.
-3*(x - 3)*(x + 1)/5
Factor 2/11*i**2 + 254/11 - 256/11*i.
2*(i - 127)*(i - 1)/11
Let q be 14 + (14 - (910/56 + 11)). Factor 0 - q*m - 3*m**3 + 5/2*m**2 - 1/4*m**5 + 3/2*m**4.
-m*(m - 3)*(m - 1)**3/4
Factor -455*m - m**2 + 0*m**2 + 298*m + 29 + 227*m + 115.
-(m - 72)*(m + 2)
Suppose -3*r = -2*a + 19, -a + 1 + 7 = -3*r. Let t be 2 - ((4 - a) + 5). What is l in 0 + 36/5*l**2 + 0*l - 24/5*l**3 + 4/5*l**t = 0?
0, 3
Suppose -l + 65 = -3*s, -246 = -4*l - 0*l + 5*s. Solve 30*q**4 - l*q**4 + 217*q**4 + 36*q**5 + 105*q**3 + 32*q**2 + 79*q**3 = 0 for q.
-4, -1, -2/9, 0
Let w be (0 + 1/(-6))*-4. Let o be (24 - 3538/145)*(-1)/((-12)/(-20)). Factor -o - w*x + 2/3*x**3 + 2/3*x**2.
2*(x - 1)*(x + 1)**2/3
Let 138*j**3 - 300*j + 3*j**4 + 936*j - 59*j**3 + 639 - 217*j**3 - 498*j**3 - 642*j**2 = 0. What is j?
-1, 1, 213
Let n(v) be the third derivative of -v**8/3360 + v**6/120 + v**5/30 - v**4/3 + v**3/6 - 84*v**2. Let m(o) be the second derivative of n(o). Solve m(k) = 0.
-1, 2
Suppose g - 6*g - r + 209 = 0, 4*g = 3*r + 152. Let d = -41 + g. Factor 6*m**2 - 5*m**3 - 9*m + d*m**3 + 2 + 3*m + 3*m**3.
-2*(m - 1)**3
Let g(o) be the second derivative of -o**4/78 + o**3/39 + 309*o. Solve g(u) = 0 for u.
0, 1
Let y(g) = -5*g**2 - 1376*g + 117931. Let u(n) = -2*n**2 - 688*n + 58988. Let j(k) = 9*u(k) - 4*y(k). What is z in j(z) = 0?
172
Let p(j) be the first derivative of 2/65*j**5 + 12/13*j**2 + 8/39*j**3 - 123 - 7/26*j**4 + 0*j. Factor p(z).
2*z*(z - 6)*(z - 2)*(z + 1)/13
Let i(l) be the second derivative of l**4/4 + 14*l**3/3 - 29*l**2/2 + 34*l + 3. Let w be i(1). Solve 0*h**2 - w*h**3 + 2/3*h**4 + 0 + 8/3*h = 0 for h.
-1, 0, 2
Let s(m) = 2*m**2 - 6*m - 42. Let w(l) = 40 - 22 + l - 18. Let y(c) = s(c) - 2*w(c). Factor y(a).
2*(a - 7)*(a + 3)
Let i be (-3)/((-4)/4) + 0. Suppose -g = 5, -2*g - 45 = i*y - 47. Suppose 0 + 0*n + 15/4*n**y - 9*n**3 + 3*n**2 = 0. Calculate n.
0, 2/5, 2
Suppose 3*d - 7*d = -b + 24, 84 = 2*b + d. Factor -75*a**2 - 30*a + 7*a + 80 + b*a**3 - 17*a + 0 - 5*a**4.
-5*(a - 4)**2*(a - 1)*(a + 1)
Let q be (1332/(-5544) + (-4)/(-14))*10. Let s(z) be the first derivative of q*z**2 - 12 - 8/11*z - 2/33*z**3. Determine x so that s(x) = 0.
1, 4
Suppose 2*m = -10, -f - 34*m + 36*m + 1032 = 0. Let l be 7/14*(f - -7). Find o, given that -2401/2*o**5 + 539*o**3 - l*o**4 - 133*o**2 - 1/2 + 27/2*o = 0.
-1, 1/7
Let x(m) be the first derivative of -2*m**5/75 - 3*m**4/10 + 22*m**3/5 + 121*m**2/15 - 28*m - 10218. Suppose x(d) = 0. What is d?
-15, -2, 1, 7
Let f(d) = 26*d**2 + 964*d - 47. Let w(x) = x**2 - x - 3. Let j(q) = f(q) + 5*w(q). Factor j(a).
(a + 31)*(31*a - 2)
Let a be -1 + (-2 - 2) - -8. Let g be 1/a*(-78)/(-52)*6. Suppose -5/3*p**g - 10/3*p**2 + 40/3 + 20/3*p = 0. Calculate p.
-2, 2
Let v(q) be the second derivative of -6/7*q**2 - 1/21*q**4 + 36*q + 8/21*q**3 + 0. Factor v(o).
-4*(o - 3)*(o - 1)/7
Factor -5*m + 3550*m**2 + 5*m**3 - 1770 - 1346 - 248 - 186.
5*(m - 1)*(m + 1)*(m + 710)
Suppose 4*m = 6*k - 4*k + 16, 4*m - k = 12. Suppose -25*h**3 - 151*h**m - 55*h**2 - 46*h - 4*h**2 - 200 - 334*h + 5*h**4 = 0. What is h?
-2, -1, 10
Let h(u) be the second derivative of -u**5/160 + 37*u**4/32 + 1227*u. Suppose h(j) = 0. Calculate j.
0, 111
Let b be ((0/6)/3)/(-1). Suppose 0*k + 2*k - 60 = b. Factor 7*h + 12 - k*h + 9*h**2 - h.
3*(h - 2)*(3*h - 2)
Let j be (-345)/(-156) - ((-18)/(-120) - 24/60). Solve 18/13*q**4 - 2/13*q**5 - 64/13*q**3 - 96/13*q + j + 112/13*q**2 = 0 for q.
1, 2
Determine g, given that -37*g**3 + 32*g**3 + 60*g + 150*g**2 + 21*g**2 + 48 - 228*g + 6*g**4 - 52*g**3 = 0.
1/2, 1, 4
Suppose 3*k - 42 = -2*k - 3*b, 2*k + 2*b = 16. Suppose -d - 2*d = -k. Let -4 - d*m**2 - 12 - 8*m + 31 + 20*m = 0. Calculate m.
-1, 5
Let y(b) = 3*b**2 + 4*b + 4. Let t be (14/28)/(1/14). Let v(q) = 2 + t + 20*q + 11 + 16*q**2. Let w(k) = -2*v(k) + 11*y(k). Factor w(j).
(j + 2)**2
Suppose -5*q - 2*p + 178 = -103, -3*p - 63 = -q. Suppose -29*z + 30 + q = 0. Let -9*a**2 + 21/2*a**5 + 0*a + 0 + 39/2*a**z + 39*a**4 = 0. Calculate a.
-3, -1, 0, 2/7
Let 88/7 + 880/7*k**2 + 152/7*k**4 - 68*k - 664/7*k**3 + 20/7*k**5 = 0. Calculate k.
-11, 2/5, 1
Let z(o) be the third derivative of o**5/20 + 455*o**4/4 + 207025*o**3/2 + 214*o**2 + o + 2. Factor z(h).
3*(h + 455)**2
Let f(r) be the first derivative of -r**6/2 - 54*r**5/5 + 33*r**4/4 + 216*r**3 + 498*r**2 + 432*r + 6146. Suppose f(g) = 0. Calculate g.
-18, -2, -1, 4
Let z**2 + 169/3*z - 38 = 0. What is z?
-57, 2/3
Let a(m) = 4*m**3 + 18*m**2 + 12*m - 38. Let l = 276 - 274. Let i(z) = -20*z**3 - 89*z**2 - 60*z + 191. Let k(x) = l*i(x) + 11*a(x). Factor k(u).
4*(u - 1)*(u + 3)**2
Let p be 560/(-700) - (8/(-3))/(120/252). Factor -6/5*u**2 + 0 + p*u - 3/5*u**3.
-3*u*(u - 2)*(u + 4)/5
Factor -p**2 + 2*p**2 + 387906 + 588*p - 17*p**2 - 388338.
-4*(p - 36)*(4*p - 3)
What is n in -444*n**2 - 9*n**4 + 80*n + 149 + 2*n**4 + 196*n**3 - n**4 + 27 