) = c**2 + 6. Let g = -354 - -873. Let o(a) = a**2 + 532 + a**2 - g. Let k(t) = -6*o(t) + 13*v(t). Factor k(q).
q**2
Factor 0 - 1/2*c**3 - 187/2*c - 14*c**2.
-c*(c + 11)*(c + 17)/2
Let m = 41433197151/2296 - 18045817. Let g = m + -1/328. Determine i so that -36/7*i**2 + g*i**3 - 80/7 + 96/7*i = 0.
2, 5
Let i(p) be the first derivative of -p**6/70 - p**5/20 - p**4/28 + p**3/14 + 22*p**2 - 172. Let f(l) be the second derivative of i(l). Solve f(k) = 0.
-1, 1/4
Let x = -65177 + 195538/3. Factor -4/3 + 29/3*m**2 + x*m**5 - 4/3*m - 5/3*m**4 - 23/3*m**3.
(m - 1)**3*(m + 2)*(7*m + 2)/3
Let v(j) = 132*j**2 + 4620*j + 1. Let q be v(-35). Let f be 1 + -1 - (-21)/28. Factor d + f*d**2 - q.
(d + 2)*(3*d - 2)/4
Let y(h) be the second derivative of h**6/2160 + h**5/36 - 11*h**4/36 + 197*h**3/6 + 10*h. Let i(l) be the second derivative of y(l). Solve i(p) = 0 for p.
-22, 2
Let f = 1315 + -1315. Let u(n) be the third derivative of 1/105*n**5 - 5*n**2 + 0*n**3 + f*n + 0 - 1/840*n**6 - 1/42*n**4. Factor u(l).
-l*(l - 2)**2/7
Let v(m) = 9*m**3 + 441*m**2 - 1282*m - 4382. Let h(a) = 24*a**3 + 879*a**2 - 2563*a - 8765. Let z(b) = 2*h(b) - 5*v(b). Determine i, given that z(i) = 0.
-2, 5, 146
Let h be 19*(-10)/(-380)*0. Let z(l) be the third derivative of 0*l - 1/15*l**5 + 0*l**3 + h*l**4 - 1/15*l**6 - 2/105*l**7 + 0 - 17*l**2. Factor z(j).
-4*j**2*(j + 1)**2
Let m(a) be the first derivative of -4*a**3/21 - 6212*a**2/7 - 9647236*a/7 + 4163. Factor m(p).
-4*(p + 1553)**2/7
Let v be 6*((-6)/4)/(-3). Let p = -1044988 + 8360129/8. Factor 375/8 - p*q + 45/8*q**2 - 3/8*q**v.
-3*(q - 5)**3/8
Let h = -929669/210 - -4427. Let k(r) be the third derivative of 0 - 2/7*r**3 + 1/35*r**5 - 6*r**2 - h*r**6 + 0*r + 1/42*r**4. Factor k(c).
-4*(c - 3)*(c - 1)*(c + 1)/7
Let v(p) be the third derivative of 0*p - 16*p**2 + 1/12*p**5 - 2 + 25/12*p**4 - 20*p**3. Solve v(r) = 0 for r.
-12, 2
Let s be 48/21 - 20/70. Suppose -2 = s*x - 6. Suppose -36*p + 4 + 48*p + 4*p**2 - 2*p**x + 14 = 0. What is p?
-3
Suppose 10*h = -3*y + 7*h + 60, -2*h + 65 = 3*y. Factor 20*u**2 + 69*u + y*u**2 + 43*u**2 - 25*u**2 + 6.
3*(u + 1)*(21*u + 2)
What is b in 461/6 - 230/3*b - 1/6*b**2 = 0?
-461, 1
Solve 16 - 477*n**2 - 3*n**3 + 806874*n + 461 - 806871*n = 0.
-159, -1, 1
Let h(q) be the first derivative of q**7/280 - 7*q**6/120 + 16*q**3/3 - q + 20. Let i(g) be the third derivative of h(g). Suppose i(p) = 0. What is p?
0, 7
Let i = -85875/14 - -12269/2. Factor -16/7*v + i*v**2 + 0.
4*v*(v - 4)/7
Let g(t) be the third derivative of t**6/840 + 13*t**5/140 - 27*t**4/56 + 41*t**3/42 + 435*t**2 + 2. Factor g(q).
(q - 1)**2*(q + 41)/7
Factor -4*x**2 - 504/5 + 204/5*x.
-4*(x - 6)*(5*x - 21)/5
Let s(o) be the third derivative of o**6/480 - 17*o**5/15 - 823*o**4/96 - 275*o**3/12 - 4907*o**2. Determine d so that s(d) = 0.
-2, -1, 275
Let n = 28 + -1. Factor -426*o**2 - 5*o**3 + 25*o + 456*o**2 - n*o - 38*o.
-5*o*(o - 4)*(o - 2)
Let k(b) be the third derivative of 1/70*b**7 - 25*b + 0 + 1/20*b**6 + 3*b**2 - 13/45*b**5 + 11/18*b**3 + 7/36*b**4. Let k(q) = 0. Calculate q.
-11/3, -1/3, 1
Let v be (-1)/(-41)*(92 + -86). Let j = v + 5/246. Find p such that -5/6*p**3 - 4/3*p**2 - j*p**4 - 2/3*p + 0 = 0.
-2, -1, 0
Solve 8*b - 19*b - 6*b + b**2 + 9*b + 12 = 0.
2, 6
Let u(g) be the first derivative of g**5/30 - g**4/18 - 2*g**3/3 - 59*g + 40. Let w(s) be the first derivative of u(s). Factor w(v).
2*v*(v - 3)*(v + 2)/3
Let v(m) be the third derivative of -m**6/540 - 2*m**5/45 - 5*m**3 - 25*m**2. Let r(w) be the first derivative of v(w). Find y, given that r(y) = 0.
-8, 0
Let l(v) be the first derivative of -1/3*v**2 + 26 - 9*v - 1/60*v**5 + 0*v**4 + 1/6*v**3. Let d(z) be the first derivative of l(z). Solve d(m) = 0 for m.
-2, 1
Suppose 5*i = -2*d - 6254, 1212 = 4*i + 4*d + 6208. Let j = -1249 - i. Let 0*z - 14/11*z**2 + 6/11*z**4 + 2/11*z**j + 8/11 - 2/11*z**5 = 0. What is z?
-1, 1, 2
Let b be (24/2)/2 + (-9)/3. Solve 2*g**3 + b*g**3 + 105*g - 59*g**2 + 90 + 99*g**2 = 0.
-3, -2
Suppose -87 = -14*v + 697. Let x be (-27)/(-12)*25/(2625/v). Factor -384/5 - 72/5*r**2 + 288/5*r + x*r**3.
6*(r - 4)**3/5
Let i = 40 + 77. Suppose 15*u - 5*u**2 - i + 65*u + 63 - 266 = 0. Calculate u.
8
Let k(r) be the third derivative of r**7/35 - r**6/40 - 7*r**5/20 + 3*r**4/4 - 2654*r**2. Let k(m) = 0. Calculate m.
-2, 0, 1, 3/2
Let b be (-16)/56 - 604/(-7). Let c = b - 38. Factor g**2 + 4*g**2 + c*g**3 - 43*g**3.
5*g**2*(g + 1)
Factor -68026*f - 1925*f + 8634191043*f**3 + 1036*f - 30013*f - 43652402967*f**3 + 32 + 101945304*f**2.
-4*(2061*f - 2)**3
Let u(d) be the third derivative of -d**5/30 - 327*d**4/4 + 982*d**3/3 + 8*d**2 - 196*d + 1. Factor u(l).
-2*(l - 1)*(l + 982)
Let y be 10/(-14)*80/(-25). Let q = 1660990/181657 - 18/25951. Factor -q - y*t - 1/7*t**2.
-(t + 8)**2/7
Suppose -2*p - 4*f = f - 82, 0 = -2*p + 3*f + 98. Let -8*q**2 + 4*q**3 + p*q + 54*q - 100*q + 4*q**4 = 0. Calculate q.
-2, 0, 1
Let k be (0 - 4)*4/(-8). Let q = -1475141 + 5900579/4. Factor 3 - 6*h - 3/4*h**3 + q*h**k.
-3*(h - 2)**2*(h - 1)/4
Suppose 620/3*r + 0 - 5/3*r**2 = 0. Calculate r.
0, 124
Suppose 0 = -2*a - 2*r + 18, -40 - 7 = -3*a + 2*r. Let -a*x + 4 - 4 - 9*x**2 + 3*x**3 + x = 0. Calculate x.
-1, 0, 4
Let k(w) be the third derivative of -w**6/60 + 5*w**5/2 - 427*w**4/6 + 3562*w**2. Factor k(a).
-2*a*(a - 61)*(a - 14)
Let b(p) = 644*p + 12883. Let g be b(-20). Suppose -4/7*y**4 + 46/7*y**g - 162/7*y**2 - 50/7 + 170/7*y = 0. Calculate y.
1/2, 1, 5
Let k(v) be the third derivative of 58*v**7/105 + 121*v**6/30 - 67*v**5/15 - 179*v**4/2 - 60*v**3 + v**2 - 4051. Let k(t) = 0. What is t?
-3, -5/29, 2
Let g = 4803 + -4798. Let v(h) be the first derivative of 1/6*h + 0*h**4 - 24 + 0*h**2 + 1/30*h**g - 1/9*h**3. Factor v(u).
(u - 1)**2*(u + 1)**2/6
Let h(t) be the first derivative of 2*t**5 - 101*t**4/2 + 472*t**3 - 1908*t**2 + 2592*t + 2818. Solve h(o) = 0 for o.
1, 6, 36/5
Suppose 5*f + p - 15 + 0 = 0, 3*p = -3*p. Let m(j) be the second derivative of 0 - 1/5*j**f + 14*j + 2/5*j**2 + 1/30*j**4. Factor m(u).
2*(u - 2)*(u - 1)/5
Factor 117/2 + 1/4*h**2 + 31/4*h.
(h + 13)*(h + 18)/4
Let r(y) be the second derivative of -1 + 0*y**2 + 4/21*y**4 - 13*y + 16/21*y**3 + 1/70*y**5. Solve r(d) = 0.
-4, 0
Let o(c) = c**4 - 2*c**3 + c**2 - 5*c + 1. Let i(d) = 22*d**4 + 56*d**3 - 3*d**2 - 25*d + 5. Let k(w) = 3*i(w) - 15*o(w). Let k(j) = 0. Calculate j.
-4, 0, 2/17
Let m(l) = -l**4 - l**3 + 2*l**2 + 4*l + 1. Let c(s) = -30*s**4 + 75*s**3 + 160*s**2 - 80. Let v(n) = -c(n) + 25*m(n). Determine o so that v(o) = 0.
-1, 1, 21
Suppose 0 = 5*y - 1 - 19. Suppose y*f = -5*x + 24, 4*x - 2*f - 12 = 2*f. Factor -g**2 + 12*g - 2*g**2 + 2*g**x + 17*g**2 - 10*g**3 - 18*g.
2*g*(g - 3)*(g - 1)**2
Let i = 933 - 931. Suppose -i*x + 7 = h, -35*x - 3*h = -39*x + 9. Let -2/3*d**4 + 4/3*d**x + 2/3*d**2 + 0 - 4/3*d = 0. Calculate d.
-1, 0, 1, 2
Suppose 4*q = -323 + 335. Let g(f) be the first derivative of -f**4 - 4/3*f**q - 11 - 12*f + 10*f**2. Let g(a) = 0. Calculate a.
-3, 1
Let z(h) = -h**3 - 8*h**2 - 7*h + 1. Let m be z(-7). Suppose 3*g - m = -u, 2*g - 2*u = 3*u + 29. Factor -780*a**2 + 780*a**g - 5*a**3 + 5*a.
-5*a*(a - 1)*(a + 1)
Determine d, given that 302*d - 27*d**3 + 41*d**2 + 1452 + 30*d**3 + 325*d + 37*d**2 = 0.
-11, -4
Suppose 5*v + 5*j - 120 + 145 = 0, 5*v - 77 = j. Find c, given that 24 - 21/2*c**2 - 3/2*c**3 - v*c = 0.
-4, 1
Let p(j) be the first derivative of 0*j**2 + 3/200*j**5 - 1/30*j**4 + 6*j + 1/300*j**6 + 8 + 0*j**3. Let o(d) be the first derivative of p(d). Factor o(b).
b**2*(b - 1)*(b + 4)/10
Let g = -2287/89 - -2015413/267. Find o, given that g*o**2 - 2401/3*o**5 + 16121*o**4 + 304/3 - 1424*o - 53312/3*o**3 = 0.
2/7, 19
Suppose 605/4*n - 75 - 5/2*n**2 = 0. Calculate n.
1/2, 60
Let m(h) be the third derivative of 32/105*h**7 - 1/84*h**8 + 0*h + 0 + 40/3*h**5 - 125/6*h**4 + 0*h**3 - 13*h**2 - 3*h**6. Factor m(o).
-4*o*(o - 5)**3*(o - 1)
Let b be 3/(-19)*(-4)/(-30)*(-32940)/2196. Factor 2/19*y**3 - b*y - 4/19 + 0*y**2.
2*(y - 2)*(y + 1)**2/19
Let q be (-248)/(-217)*(14/36 + 0). Let r be ((9 + 0)*-1)/(102 + -105). Factor -10/9*d**r - q*d**2 + 0 - 8/9*d**4 + 0*d - 2/9*d**5.
-2*d**2*(d + 1)**2*(d + 2)/9
Let x be (-10 - 19) + (20 - -11). Suppose -18*o - 3/2*o**x - 33/2 = 0. Calculate o.
-11, -1