 70248*k + 82274064. Let h(s) = 5*s**2 + 42149*s - 49364445. Let z(i) = -7*g(i) - 12*h(i). Factor z(w).
3*(w - 2342)**2
Let y(p) be the second derivative of -1/42*p**4 - 1/98*p**7 + 0*p**3 + 0*p**2 + 0 - 1/105*p**6 + 10*p + 1/20*p**5. Let y(v) = 0. Calculate v.
-2, 0, 1/3, 1
Solve -495*z**3 - 5*z**5 + 120*z**2 - 10*z**2 + 320*z**3 + 7*z**4 + 63*z**4 = 0 for z.
0, 1, 2, 11
Suppose 134/5*b - 136/5 + 2/5*b**2 = 0. What is b?
-68, 1
Factor 27889/8 - 993/8*b**2 - 9/8*b**3 - 26887/8*b.
-(b - 1)*(3*b + 167)**2/8
Let p(z) be the first derivative of 1/60*z**6 - 5 + 0*z**3 + 0*z**4 + 15*z**2 - 1/15*z**5 + 0*z. Let m(v) be the second derivative of p(v). Factor m(w).
2*w**2*(w - 2)
Let q(s) be the first derivative of 2*s**3/33 - 1849*s**2/11 + 336*s + 8269. Solve q(h) = 0 for h.
1, 1848
Let x(k) be the third derivative of -k**5/60 + 19*k**4/24 + 3*k**3 - 183*k**2. Let m(c) = 2*c**2 - 19*c - 18. Let n(a) = -2*m(a) - 3*x(a). Factor n(t).
-(t + 1)*(t + 18)
Let 16/5 - 316/5*r**3 + 308/5*r**2 + 128*r = 0. Calculate r.
-1, -2/79, 2
Find q such that 842*q + 1080 - 167*q - 3*q**3 + 90*q**2 - 2*q**3 = 0.
-3, 24
Let m be (5 - 0) + -10 - 62*(-6)/72. Let t(y) be the first derivative of 3/2*y**2 - m*y**3 + 17 + 1/20*y**5 + 9/4*y - 1/4*y**4. Suppose t(d) = 0. What is d?
-1, 3
Suppose -5*y + 15 = 5*n, -2*n + 19*y - 15*y = 12. Find f, given that -3/5*f**4 - 21/5*f**2 + 3*f**3 + n + 9/5*f = 0.
0, 1, 3
Let w = -820016/77 - -117186/11. Solve -2/7*a**3 - 54/7*a - w - 30/7*a**2 = 0.
-13, -1
Let a(b) be the first derivative of -b**3/7 - 2535*b**2/7 - 2142075*b/7 + 2511. Suppose a(o) = 0. Calculate o.
-845
Suppose -1/3*s**4 - 2815*s - s**3 + 799/3*s**2 + 2550 = 0. What is s?
-34, 1, 15
Let g(m) be the first derivative of -m**4 + 76*m**3 - 2160*m**2 + 27200*m - 1720. Factor g(j).
-4*(j - 20)**2*(j - 17)
Let k be (-24)/(-4) - ((-3)/1 - -6). Factor -6 + 5622*z + 12*z**4 + 2*z**k + 3*z**5 - 6*z**2 - 5637*z + 10*z**3.
3*(z - 1)*(z + 1)**3*(z + 2)
Let y(g) be the second derivative of -g**5/20 + 14*g**4 - 1568*g**3 + 87808*g**2 + 304*g - 2. Find i such that y(i) = 0.
56
Suppose 24 = -v - 3*r + 48, -5*v = -5*r - 40. Let l be 54/v*(-6)/(-9). Factor -27/7*g**l - 6/7*g**5 + 15/7*g**2 - 3/7*g + 3*g**4 + 0.
-3*g*(g - 1)**3*(2*g - 1)/7
Suppose x + 8*x = 18. Find r, given that 6*r - 10 - 23*r**2 + 2*r - 3*r + 28*r**x = 0.
-2, 1
Suppose -85*l = -84*l - 3. Let q(z) be the first derivative of -1/12*z**2 - 19/24*z**4 + 7/30*z**5 - 1/3*z - 10 + 5/6*z**l. Find h, given that q(h) = 0.
-2/7, 1
Let v(h) be the third derivative of h**5/60 - 59*h**4/24 - 10*h**3 - h**2 + 41*h - 4. Factor v(m).
(m - 60)*(m + 1)
Let n(l) be the third derivative of l**6/780 + l**5/15 - 29*l**4/39 + 40*l**3/13 - 22*l**2 + 1. Factor n(k).
2*(k - 2)**2*(k + 30)/13
Let d(i) be the first derivative of -2*i**3/9 + 61*i**2/3 + 584*i + 789. Factor d(w).
-2*(w - 73)*(w + 12)/3
Let s(i) be the first derivative of -32 - 124/21*i**3 - 97/14*i**4 - 1/21*i**6 - 400/7*i + 340/7*i**2 + 8/7*i**5. Find k, given that s(k) = 0.
-2, 1, 10
Let 295 - 468 + 34*g - 4*g**2 + 130*g + 341 = 0. What is g?
-1, 42
Factor 576 - 840*t + 1225/4*t**2.
(35*t - 48)**2/4
Let h(u) be the first derivative of u**5/15 - 7*u**4/12 - 22*u**3/3 - 74*u**2/3 - 104*u/3 + 957. Factor h(c).
(c - 13)*(c + 2)**3/3
Let u(m) be the third derivative of -m**6/24 + 56*m**5/3 + 3395*m**4/24 + 1135*m**3/3 + 1122*m**2. Factor u(x).
-5*(x - 227)*(x + 1)*(x + 2)
Let l(o) = -39*o**4 + 49*o**3 + 59*o**2 - 43*o + 10. Let d(b) = 196*b**4 - 244*b**3 - 293*b**2 + 215*b - 48. Let x(f) = 6*d(f) + 29*l(f). Factor x(k).
(k - 1)**2*(k + 1)*(45*k + 2)
Let c(d) = -3*d**3 + 649*d**2 + 228*d - 430. Let i(a) = 12*a**3 - 2597*a**2 - 917*a + 1719. Let u(r) = 18*c(r) + 4*i(r). Factor u(m).
-2*(m - 216)*(m + 1)*(3*m - 2)
Let a(d) be the second derivative of d**5/4 - 16945*d**4/12 + 5109*d + 1. Factor a(x).
5*x**2*(x - 3389)
Suppose -l = -5*r + 49, -2956*r + 4*l - 32 = -2955*r. Factor -r*w**3 - 1/2*w**5 + 9/2*w**4 + 8*w**2 + 0 + 0*w.
-w**2*(w - 4)**2*(w - 1)/2
Suppose -g + 59 = 5*r, 4*g + 966*r - 161 = 961*r. Let c(d) be the second derivative of -1/10*d**5 - 2/3*d**4 + g*d - 2*d**2 + 0 - 5/3*d**3. Factor c(j).
-2*(j + 1)**2*(j + 2)
Let f be ((-80)/(-100))/(2 - 16/10). Suppose -5*z - 15 = 0, f*z + 4 = 5*h - 6*h. Find j, given that 0*j**4 + h*j**4 + 2*j + j**4 - 2*j**3 - 3*j**2 = 0.
-1, 0, 2/3, 1
Let i be ((-6511)/(-182) + 768/1344)*28/5. Let 2/13*v**3 + 18522/13 + 126/13*v**2 + i*v = 0. What is v?
-21
Let l(z) = z**3 - z + 1. Let r(i) = 3*i**3 - 18*i**2 - 112*i - 212. Let q = -15 + 16. Let f(j) = q*r(j) - 4*l(j). Determine b, given that f(b) = 0.
-6
Let -325/2*x**5 + 0 + 2*x - 16*x**2 + 313*x**4 - 273/2*x**3 = 0. Calculate x.
-2/13, 0, 2/25, 1
Let x = 28454/3 - 9383. Let y = -97 + x. Suppose 4/3 - y*k + 2*k**2 = 0. What is k?
1/3, 2
Let r(t) be the third derivative of 361*t**6/480 - 247*t**5/40 + 51*t**4/32 - t**3/6 - 27*t**2 - 9. Determine a, given that r(a) = 0.
1/19, 4
Suppose -18*i = -133 + 3373. Let g be (1 + 1)*(-150)/i. Factor g + 1/3*w**2 + 2*w.
(w + 1)*(w + 5)/3
Let r be -21*((-3408)/(-234) - 14) + 7 + 5. Factor 4/13*y**3 - r*y + 0*y**4 + 0 - 2/13*y**5 + 0*y**2.
-2*y*(y - 1)**2*(y + 1)**2/13
Let m(f) be the second derivative of -f**9/3780 + f**7/350 + f**6/225 + 28*f**3/3 - f**2 + 265*f. Let v(g) be the second derivative of m(g). Factor v(s).
-4*s**2*(s - 2)*(s + 1)**2/5
Let v = 79/57 + 23795/228. Suppose -3/4*w**4 + 507/2 - 75/4*w**3 + 663/4*w - v*w**2 = 0. Calculate w.
-13, -1, 2
Let f(a) = -a**2 - 7*a. Let p be f(-9). Let k be 9/(-2)*(4 - (-80)/p). Factor r**5 - 5*r**2 + 6*r**3 - 7*r**2 + 10*r**2 + r - 2*r**k - 4*r**4.
r*(r - 1)**4
Let o = 201 + -199. Factor 60*f**o - f**3 - 3*f**3 + 49*f - 105 + 190 - 17 + 83*f.
-4*(f - 17)*(f + 1)**2
Let d = 1147/176 - 81/16. Let z = 102/55 - d. Find r such that -2/5*r**2 + 0 - z*r = 0.
-1, 0
Suppose -174 = -12*g + 42. Find x such that -g*x**5 - 25*x**5 - 95*x**4 + 33*x**5 + 120 + 260*x - 225*x**3 - 50*x**2 = 0.
-6, -2, -1/2, 1
Suppose 0 = -8*g + 1702 - 1734. Let u be (g + 7 - 6)*(-15)/9. Let 3*r**4 - 6*r**2 - 3/2*r + 3*r**3 - 3/2*r**u + 3 = 0. What is r?
-1, 1, 2
Let r(d) = -9*d**2 - 60*d + 96. Let o(q) = q**2 + q - 1. Let a be 3 - 15/(0 + 1). Let f(u) = a*o(u) - r(u). Factor f(y).
-3*(y - 14)*(y - 2)
Factor -6956450/11 - 7460/11*w - 2/11*w**2.
-2*(w + 1865)**2/11
Let g(j) be the third derivative of 231361*j**5/60 - 481*j**4/6 + 2*j**3/3 - 58*j**2. Let g(z) = 0. What is z?
2/481
Let o(r) be the third derivative of -r**6/1260 + 3*r**5/140 - r**4/6 + 3*r**3/2 - 76*r**2 + 1. Let j(w) be the first derivative of o(w). Factor j(x).
-2*(x - 7)*(x - 2)/7
Let v(a) = 12*a**3 - 4 + 11*a + 97*a**2 - 15*a**4 - 18 - 94*a**2. Let c(k) = 4*k**4 - 3*k**3 - k**2 - 3*k + 6. Let y(j) = 22*c(j) + 6*v(j). Factor y(q).
-2*q**2*(q - 2)*(q - 1)
Let i(h) be the second derivative of -h**7/14 + 39*h**5/20 - 3*h**4 - 1197*h. Find x, given that i(x) = 0.
-4, 0, 1, 3
Let -22/13*t**4 - 6/13*t + 0 + 38/13*t**3 - 10/13*t**2 = 0. What is t?
-3/11, 0, 1
Factor 104/5 - 54/5*a + 1/5*a**2.
(a - 52)*(a - 2)/5
Suppose 4*v - 204 = -3*z, -6*z + v + 219 = -3*z. Let 52*p**2 + 47 - 16*p**4 + 1 + 28*p**3 - z*p - 40*p = 0. What is p?
-2, 3/4, 1, 2
What is b in 1/2*b**2 - 813/2*b + 0 = 0?
0, 813
Let u(k) = -80*k**2 - 60*k - 132. Let o(b) = -17*b**2 - 12*b - 27. Let z(f) = 14*o(f) - 3*u(f). Factor z(q).
2*(q + 3)**2
Solve 54 + 33*u - 5*u**2 + 42*u**2 - 27*u**2 - 4*u**2 - 3*u**2 = 0 for u.
-9, -2
Let w = -402 + 461. Suppose 65*q - 24 = w*q. Find p such that 0 + 4/5*p + 2/5*p**q + 2*p**2 + 8/5*p**3 = 0.
-2, -1, 0
Suppose 3*n + 39 - 99 = 0. Find x such that -n*x**3 + 19*x**3 - 72*x + 69*x - 4*x**2 = 0.
-3, -1, 0
Let x = -158/2189 - -5168/10945. Let 8/5*o**3 + 0 + x*o**4 - 36/5*o - 6*o**2 = 0. Calculate o.
-6, -1, 0, 3
Let r be (-10)/2 - 0 - -8. Let h be r/(-6)*16/((-32)/10). Factor 7/2*v**2 + h + 11/2*v + 1/2*v**3.
(v + 1)**2*(v + 5)/2
Factor -18*q + q**2 - 7244 + 7244 - 3*q**4 + 20*q**2.
-3*q*(q - 2)*(q - 1)*(q + 3)
Suppose i - 6 + 10 = 0. Let h be (6/4)/((i/1)/(-8)). Factor -b**3 - 474 + b + h*b + 474.
-b*(b - 2)*(b + 2)
Let g(w) be the second derivative of 15/2*w**4 + 20*w**2 + 105*w + 1/15*w**6 + 0 - 7/5*w**5 - 52/3*w**3. Factor g(b).
2*(b - 10)*(b - 2)*(b - 1)**2
Let o be 6/14*(2 + 4). Let h = 6271/