9 - 492*k**2 + 5*k. Factor u(c).
2*(c + 4)*(c + 58)/3
Let v(w) be the third derivative of 1/30*w**5 - 7*w**3 + 5/3*w**4 + 0 + 0*w + 16*w**2. Factor v(i).
2*(i - 1)*(i + 21)
Let y(n) be the third derivative of -n**7/735 + 11*n**6/210 + 33*n**5/70 + 32*n**4/21 + 52*n**3/21 + 1362*n**2 - 1. Solve y(h) = 0 for h.
-2, -1, 26
Factor 0 + 2/5*r**2 - 46/5*r.
2*r*(r - 23)/5
Let y(v) = -v**3 - 19*v**2 - 18*v + 11. Let x be y(-18). Find g, given that -35*g + 0*g**3 + x*g**3 + 1 + 5*g**3 + 49*g - 31*g**2 = 0.
-1/16, 1
Suppose -4*x = -6 - 30. Suppose -5*h = -8*h + x. Factor 0*a**h + 4*a**3 + 4*a - 10*a**2 + a + a**3.
5*a*(a - 1)**2
Let f(m) = 8*m + 51. Let q be f(-6). Suppose -4*j = 2*o + 2, 14 = -3*j - 4*o - 0*o. Factor 74*d**j - 84*d**2 + 30*d**q - 15*d**4 + 5*d**3.
-5*d**2*(d - 2)*(3*d - 1)
Let f(y) = 3*y**3 + 2*y**2 + y - 3. Let a be f(1). Find o such that 71*o + 69*o - 218*o + 4*o**a - 12 + 12*o**2 + 74*o = 0.
-3, -1, 1
Let n(z) be the third derivative of z**5/8 - 13*z**4/48 - z**3/6 + 2*z**2 + 455*z. Factor n(m).
(m - 1)*(15*m + 2)/2
Let -1/2*b**4 + 2*b - 2 + 3/2*b**2 - b**3 = 0. Calculate b.
-2, 1
Solve -3*n**3 + 58*n - 240*n**2 + 244*n + 34*n - 6*n**3 = 0.
-28, 0, 4/3
Let d = -17898/13 - -35809/26. Solve d*j**5 + 9*j**2 + 0 + 21/2*j**3 + 4*j**4 + 0*j = 0.
-3, -2, 0
Let c = 381 + -381. Suppose -3*b - 3*b + 7*b = 0. Find x, given that b*x + c + 0*x**3 - 2/11*x**4 + 0*x**2 = 0.
0
Factor -10/3*j - 25/3 - 1/3*j**2.
-(j + 5)**2/3
Let s(f) be the first derivative of f**4/6 + 680*f**3/9 + 9519*f**2 - 38988*f - 644. Factor s(p).
2*(p - 2)*(p + 171)**2/3
Determine t so that 11 + 36*t**2 - 95 - 46*t**2 - 148*t - 63*t**2 - 8*t**3 + t**4 = 0.
-3, -2, -1, 14
Let f(q) = q**2 - 4*q - 250. Let x be f(-14). Let m(s) be the second derivative of 3/20*s**5 + 27/2*s**x + 16*s + 0 - 5/4*s**4 + 3/2*s**3. Factor m(i).
3*(i - 3)**2*(i + 1)
Factor 17640 - 17472*j - 2/5*j**3 - 838/5*j**2.
-2*(j - 1)*(j + 210)**2/5
Factor 5*n**2 - 2*n**3 - 4451 + 328*n - 2*n**2 + 3779 + 5*n**2.
-2*(n - 14)*(n - 2)*(n + 12)
Factor 282*u**2 + 405 + 125*u**2 - 66*u**2 + 231 + 948*u - 3*u**3 - 32*u**2.
-3*(u - 106)*(u + 1)*(u + 2)
Let z(j) be the third derivative of j**7/490 - 13*j**6/70 + 229*j**5/140 + 141*j**4/28 - 5*j**2 - 158*j. Solve z(o) = 0 for o.
-1, 0, 6, 47
Let l(v) = 13*v**3 - 21*v**2 - 57*v - 11. Let i(x) = -89*x**3 + 147*x**2 + 397*x + 79. Let b(g) = -6*i(g) - 41*l(g). Factor b(u).
(u - 23)*(u + 1)**2
Let n = -583 + 589. Suppose n*b - 91 = -79. Factor 28/15 - 2/3*f - 2/15*f**b.
-2*(f - 2)*(f + 7)/15
Factor -2/3*y**2 + 712/3 - 170/3*y.
-2*(y - 4)*(y + 89)/3
Suppose 41*d - 14*d - 81 = 0. Let 1975*s**2 - s - 12*s**4 - d*s**5 + s - 1957*s**2 - 3*s**3 = 0. Calculate s.
-3, -2, 0, 1
Solve 0 + 0*d + 2/7*d**4 - 8/7*d**2 - 16/7*d**3 + 4/7*d**5 = 0 for d.
-2, -1/2, 0, 2
Let z(j) = 8*j**2 - 22*j - 4. Let w(n) be the first derivative of -n**3/3 + 3*n**2/2 - 139. Let f(q) = -36*w(q) - 4*z(q). What is a in f(a) = 0?
1, 4
Let t(q) = -q**3 - 16*q**2 + 21*q. Let f(m) = -8*m - 13*m**2 - 10*m**2 + 28*m + 7*m**2. Let n = 1176 + -1172. Let k(b) = n*t(b) - 5*f(b). Factor k(l).
-4*l*(l - 2)**2
Let u(s) = -9*s - 6*s**2 + 394 + 4*s - 383 + 15*s. Suppose 4*k - k - 4 = -4*x, 0 = k. Let z(b) = -b**2 + b + 1. Let m(o) = x*u(o) - 5*z(o). Factor m(v).
-(v - 6)*(v + 1)
Let i = 111 + -104. Let a(p) be the second derivative of -1/84*p**i + 0 - 1/24*p**4 - 3/40*p**5 + 0*p**2 + 0*p**3 - 11*p - 1/20*p**6. Factor a(y).
-y**2*(y + 1)**3/2
Let s(b) be the first derivative of 5*b**3/3 - 795*b**2/2 - 800*b - 1698. Factor s(u).
5*(u - 160)*(u + 1)
Let l be (-20)/95*(-15 - (-6 - 420/72)). Let -l*c**3 - 2/3*c**4 + 0*c + 0 + 4/3*c**2 = 0. What is c?
-2, 0, 1
Factor 756150 + 2/3*r**2 + 1420*r.
2*(r + 1065)**2/3
Let p be (-2 + 14/9)*(-18)/4. Let z**p - 13*z + 3*z**3 + 3*z + 2*z**4 + 10*z = 0. Calculate z.
-1, -1/2, 0
Suppose 36 = 7*p - 48. Suppose 90 + 276 + 15*l**4 + p*l**3 - 135*l**2 + 3*l**3 - 42 - 3*l**5 = 0. What is l?
-2, 3
Let f = 485 + -472. Factor 3*g**2 - 3*g**3 - 12*g**3 + 5*g**2 + f*g**3 + 10*g.
-2*g*(g - 5)*(g + 1)
Let j be 912/3420 - 74/(-60). Suppose -3/2*o**3 - 3/2*o**2 + j + 3/2*o = 0. Calculate o.
-1, 1
Suppose 2*g = -i - 938, -3018 = 3*i + 2*g - 204. Let j be (-4)/(-5)*(-1675)/i. Find m, given that -2/7*m**4 + 6/7*m + 2/7*m**3 + 0 + j*m**2 = 0.
-1, 0, 3
Let n(l) be the third derivative of -1/1050*l**7 + 1/150*l**6 + 0 + 0*l**4 + 0*l**3 + 1/75*l**5 - 3*l**2 - 1/1680*l**8 + 11*l. Let n(c) = 0. What is c?
-2, -1, 0, 2
Find m, given that 5*m**3 + 182*m**2 + 433*m**2 - 334076*m + 334686*m = 0.
-122, -1, 0
Let j(r) be the second derivative of -r**5/90 - r**4/9 - 11*r**3/27 - 2*r**2/3 + 9*r - 7. Find u such that j(u) = 0.
-3, -2, -1
Let z(h) be the third derivative of 11*h**5/60 - 19*h**4/24 + 2*h**3 + 3*h**2 - 2. Let v(y) = 12*y**2 - 21*y + 12. Let n(m) = -4*v(m) + 3*z(m). Factor n(l).
-3*(l - 1)*(5*l - 4)
Suppose 10*n - n - 756 = 0. Let l = n + -71. Suppose l*r**2 - 1535*r**3 + 7*r**2 - 20 - 4*r + 1539*r**3 = 0. What is r?
-5, -1, 1
Let m = -11 - -19. Let g = 15 - m. Solve 47*r - 48*r**4 - 14*r + 35*r**2 - 48*r**5 + 27*r**5 + g*r**2 - 12*r**3 + 6 = 0 for r.
-1, -2/7, 1
Let k be ((-377)/(-52))/(-29) + (-6)/(-24). Solve k + 11/4*y**3 + 0*y + 13/4*y**4 + 1/2*y**2 + y**5 = 0 for y.
-2, -1, -1/4, 0
Let g = -54121 + 703575/13. Let 0*d + 8/13 - g*d**2 = 0. What is d?
-2, 2
Let j(c) = -5*c**3 + 2045*c**2 - 208085*c + 25. Let a(m) = -5*m**3 + 2046*m**2 - 208086*m + 30. Let f(o) = 5*a(o) - 6*j(o). What is k in f(k) = 0?
0, 204
Find z, given that 4836/11 - 16930/11*z + 14/11*z**2 = 0.
2/7, 1209
Let k(u) = -4*u**3 + 192*u**2 - 412*u + 432. Let y(v) = v**3 - 61*v**2 + 139*v - 144. Let c(z) = 5*k(z) + 16*y(z). Factor c(q).
-4*(q - 4)*(q - 1)*(q + 9)
Let m(w) be the second derivative of w**5/80 - 159*w**4/16 + 2380*w**3 - 14161*w**2/2 + 2*w + 397. Factor m(u).
(u - 238)**2*(u - 1)/4
Let d(c) be the first derivative of 1/6*c - 66 - 1/4*c**2 + 1/6*c**3 - 1/24*c**4. Factor d(h).
-(h - 1)**3/6
Let m(v) be the first derivative of 14 - 3/25*v**5 + 9/5*v**3 + 12/5*v - 3/20*v**4 - 33/10*v**2. Factor m(k).
-3*(k - 1)**3*(k + 4)/5
Let d = 4894 - 53832/11. Factor 0 - d*b**2 + 0*b - 8/11*b**3.
-2*b**2*(4*b + 1)/11
Find r, given that 1/6*r**2 - 30 + 11/6*r = 0.
-20, 9
Suppose 6*w = -2*w + 232. Suppose 0 = -w*u + 31*u - 4. Let 4/3*f**4 + 2/3*f + 0*f**2 + 0 - u*f**3 = 0. Calculate f.
-1/2, 0, 1
Suppose -141*a = -21*a - 469 - 131. Suppose -1/2*v**a + 0 - 6*v**2 + 31/4*v**3 - 3/4*v**4 - 5*v = 0. Calculate v.
-5, -1/2, 0, 2
Suppose -2*k + 14*k + 1500 = 0. Let m = -123 - k. Factor 3/2*z - m + 1/2*z**2.
(z - 1)*(z + 4)/2
Let x(r) = 60*r**2 + 120*r - 419. Let h(v) = 46*v**2 + 90*v - 314. Let f(j) = -13*h(j) + 10*x(j). Factor f(q).
2*(q - 3)*(q + 18)
Suppose 55 = 4*q - 5*x - 0, 5*x + 45 = 2*q. Factor -2/11*w**2 - 4/11*w**q - 6/11*w**3 + 0 + 2/11*w + 10/11*w**4.
-2*w*(w - 1)**3*(2*w + 1)/11
Let h(f) be the first derivative of -3*f**4/4 + 2*f**3 + 216*f**2 - 864*f - 2680. Factor h(l).
-3*(l - 12)*(l - 2)*(l + 12)
Suppose 6*t - 14 = 28. Let n be -7 + (-1 - (-59)/t). Factor -3/7*o**4 + n*o**3 + 0*o + 0 + 6/7*o**2.
-3*o**2*(o - 2)*(o + 1)/7
Suppose 33*d + 11 = 3*d + 71. Let v = 431 - 3015/7. Determine o so that 0 - 8/7*o - 6/7*o**d + v*o**3 = 0.
-1, 0, 4
Factor -1616/9*f**2 + 2/9*f**3 + 326432/9*f + 0.
2*f*(f - 404)**2/9
Let v = -248 - -250. Factor -52*z - 2*z**2 + 4*z**2 - 4*z**2 + 56 - 2*z**v.
-4*(z - 1)*(z + 14)
Factor -10*m + 0 - 1/5*m**2.
-m*(m + 50)/5
Let d be 4*((-3)/(-5))/((-4)/(-5)). Let s(q) = -q**3 + 3*q**2 + 3*q - 7. Let m be s(d). Let -k**m + 40*k - 48 + 0 - 32 - 4*k**2 = 0. Calculate k.
4
Suppose 22/9*d**2 - 104/9*d - 10/3 = 0. Calculate d.
-3/11, 5
Let g(h) be the first derivative of -h**4/2 + h**3/3 + 17*h**2/2 - 4*h + 39. Let l be g(3). Factor -4/5*p + 4*p**l + 0.
4*p*(5*p - 1)/5
Let a(p) be the second derivative of 0 + 5/48*p**4 - 1/168*p**7 + 202*p + 0*p**3 - 11/80*p**5 + 7/120*p**6 + 0*p**2. Determine u, given that a(u) = 0.
0, 1, 5
Let c(s) = 30*s**2 + 104*s + 66. Let m(a) = -a**2 - 3*a - 1. Let k(y) = -c(y) - 8*m(y). Factor k(v).
-2*(v + 1)*(11*v + 29)
Let k(o) be the first derivative of -o**4/3 + 8*o**3/3 + 10*o**2 + 204*o - 213. Let g(h) be the first derivative of k(h). Factor g(b).
-4*(b - 5)*(b + 1)
Let n(h) be the second deriva