+ 1 = -c. Suppose 0 = 7*m + x*m - 36. Factor 0*w - 1/3*w**5 - 2/3*w**m + 0 - 1/3*w**3 + 0*w**2.
-w**3*(w + 1)**2/3
Let j = 3396 - 16974/5. Factor -3/5*u**3 - 9/5*u**2 - j*u + 0.
-3*u*(u + 1)*(u + 2)/5
Let j(a) be the second derivative of -a**7/105 - a**6/30 - a**5/30 - 3*a**2 + 6*a. Let x(b) be the first derivative of j(b). Factor x(v).
-2*v**2*(v + 1)**2
Let u(w) be the first derivative of w**3 - 3*w**2 - 24*w - 89. Factor u(q).
3*(q - 4)*(q + 2)
Let t(w) be the second derivative of -9*w**4/4 + 191*w**3/2 - 63*w**2 - 4*w + 5. Find x such that t(x) = 0.
2/9, 21
Let z = 1513/2 + -755. Let f(i) be the second derivative of -2/3*i**3 - z*i**2 - i - 1/12*i**4 + 0. Factor f(m).
-(m + 1)*(m + 3)
Let q(r) be the third derivative of -r**5/10 + 13*r**4/32 + 3*r**3/4 + 41*r**2 + 8. Factor q(j).
-3*(j - 2)*(8*j + 3)/4
Let z(b) be the second derivative of -21/32*b**4 + 3/20*b**5 + 9/8*b**3 - b + 0 - 1/80*b**6 + 0*b**2. Factor z(w).
-3*w*(w - 3)**2*(w - 2)/8
Let a = -15948 - -15948. Solve -2/7*d**3 + 4/7 + a*d**2 + 6/7*d = 0 for d.
-1, 2
Let m(o) be the second derivative of -o**5/20 - o**4/3 + 5*o**3/6 - 7*o - 1. What is j in m(j) = 0?
-5, 0, 1
Suppose 50/7*t**2 + 1250/7*t + 2/21*t**3 + 31250/21 = 0. Calculate t.
-25
Determine l, given that 3*l**2 - 770*l + 14842 + 34310 + 2*l = 0.
128
Let d be -14*(-1)/(-4)*10/(-490). Let w(k) be the first derivative of -d*k**4 - 4/7*k**3 - 9/7*k**2 + 0*k + 5. Factor w(a).
-2*a*(a + 3)**2/7
Factor -88*i**3 + 5896*i - 2/3*i**4 - 8978/3 - 8444/3*i**2.
-2*(i - 1)**2*(i + 67)**2/3
Factor 44/7*r**4 + 4/7*r**5 + 0*r + 76/7*r**3 + 0 + 36/7*r**2.
4*r**2*(r + 1)**2*(r + 9)/7
Suppose 3*o - a - 16 = 0, -o + a = -5 - 3. Let b(f) be the third derivative of 0*f**3 + 1/12*f**o + 2*f**2 + 0*f + 0 - 1/60*f**5. What is l in b(l) = 0?
0, 2
Factor -2/15*o**2 - 218/15 + 44/3*o.
-2*(o - 109)*(o - 1)/15
Let y(u) be the first derivative of -u**6/45 + 6*u**5/25 - 29*u**4/30 + 86*u**3/45 - 2*u**2 + 16*u/15 + 57. Let y(q) = 0. Calculate q.
1, 2, 4
Let j(b) be the first derivative of -b**3/15 - 12*b**2/5 + 81*b/5 + 364. Determine q so that j(q) = 0.
-27, 3
Factor -26/3*k + 0 - 1/3*k**2.
-k*(k + 26)/3
Factor 411*n + 60 - 196*n - 160*n - 5*n**2.
-5*(n - 12)*(n + 1)
Let i(u) be the first derivative of -1/9*u**3 - 4/3*u - 33 - 5/6*u**2. Determine o so that i(o) = 0.
-4, -1
Factor 172*d - 34*d - 40 - 45*d - 27*d - d**2 - 44*d.
-(d - 20)*(d - 2)
Let x be (-6)/(-4)*((-64)/(-6) + 0). Let 7*m**3 + 9*m**5 + x*m**4 - 67*m**4 - 27*m**2 + 59*m**3 + 3*m**2 = 0. Calculate m.
0, 2/3, 1, 4
Let r(c) = -c**3 + 10*c**2 + c - 10. Let x be 7/(231/(-6)) + 224/22. Let n be r(x). Factor n + 0*d - 3/2*d**2 + 3/2*d**3.
3*d**2*(d - 1)/2
Let k(b) = -b - 1. Let d(m) = -m**2 + 6*m + 18. Let n(z) = d(z) - 2*k(z). Factor n(y).
-(y - 10)*(y + 2)
Let i = -24 - -26. Factor 12 + c**3 - 12 + i*c**2 + c**3.
2*c**2*(c + 1)
Let a = -3532 - -3534. Factor 5/4*h - 1 - 1/4*h**a.
-(h - 4)*(h - 1)/4
Let k(l) be the third derivative of -5*l**8/672 - l**7/7 - 3*l**6/4 - 4*l**5/3 - 2*l**2 + 12. Let k(r) = 0. Calculate r.
-8, -2, 0
Let q be 0*(-3)/(-13 - -1). Let g(s) be the third derivative of 1/420*s**6 - s**2 + q*s**5 + 2/21*s**3 - 1/28*s**4 + 0*s + 0. Find l, given that g(l) = 0.
-2, 1
Let g(j) = j**3 + 8*j**2 - 31*j + 22. Let v be g(-11). Factor k**3 - 5/3*k**2 + v + 2/3*k.
k*(k - 1)*(3*k - 2)/3
Let x be ((-35)/(-28)*(-6)/10)/((-42)/256). Factor 4/7*i**2 + x*i + 64/7.
4*(i + 4)**2/7
Let h be (-9 - 1)*72/(-30). Factor 0*y**3 + 6 - 21*y**2 - 3*y + h*y**3 - 6*y**3.
3*(y - 1)*(2*y + 1)*(3*y - 2)
Let c be 4*3/4 - 123. Let h = c + 603/5. Factor 0*m**2 - 1/5*m**5 + 0 - h*m**4 + 0*m - 2/5*m**3.
-m**3*(m + 1)*(m + 2)/5
Let w(u) be the third derivative of u**7/420 - u**5/120 - 54*u**2. Determine a so that w(a) = 0.
-1, 0, 1
Let u(x) = -47*x**5 + 53*x**4 + 100*x**3 + 11. Let i(k) = 9*k**5 - 11*k**4 - 20*k**3 - 2. Let f(b) = -11*i(b) - 2*u(b). Factor f(s).
-5*s**3*(s - 4)*(s + 1)
Let q(y) = 1 - 81*y - 14 - 11 - 9 - 81*y**2. Let v(x) = 5*x**2 + 5*x + 2. Let z(m) = -2*q(m) - 33*v(m). Let z(k) = 0. What is k?
-1, 0
Let w(l) be the first derivative of -1/6*l**3 + 8 - 5/4*l**2 - 3*l. Let w(s) = 0. What is s?
-3, -2
Let h(a) be the second derivative of a**7/70 + a**6/20 + a**5/20 - 5*a**2 - 3*a. Let i(z) be the first derivative of h(z). Factor i(d).
3*d**2*(d + 1)**2
Let k be (-108)/28*(-32)/144. Factor 0 + 2/7*r**2 - k*r.
2*r*(r - 3)/7
Let k = 5902/5 + -1178. Factor -k*w - 12/5 - 3/5*w**2.
-3*(w + 2)**2/5
Let n(p) be the third derivative of p**7/840 - 7*p**6/160 + 11*p**5/16 - 575*p**4/96 + 125*p**3/4 + 33*p**2 + 4. Solve n(i) = 0 for i.
5, 6
Let f(u) be the second derivative of u**5/4 + 355*u**4/4 + 25205*u**3/2 + 1789555*u**2/2 + 49*u + 3. Find k, given that f(k) = 0.
-71
Let i(c) be the second derivative of c**5/60 - 2*c**4/3 + 13*c**3/2 + 169*c**2/3 - 152*c. Factor i(b).
(b - 13)**2*(b + 2)/3
Let z be 4 - (-2 + (-81)/(-15)). Let h = z - 4/15. Suppose -h + 0*k + 1/3*k**2 = 0. Calculate k.
-1, 1
Let p(v) be the first derivative of -v**6/18 + v**5/3 + 3*v**4/4 - 13*v**3/9 - 14*v**2/3 - 4*v + 40. Factor p(c).
-(c - 6)*(c - 2)*(c + 1)**3/3
Let j(l) = 7*l**3 + 88*l**2 + 3*l - 93. Let m(z) = -4*z**3 - 43*z**2 - 2*z + 46. Let i(f) = -3*j(f) - 5*m(f). Determine p, given that i(p) = 0.
-49, -1, 1
Suppose -2*k + 19 - 15 = 0. Suppose 3 = 5*g - 7. Factor 0 - 3 + 7 + 2*x**g - 3*x**k.
-(x - 2)*(x + 2)
Suppose 2/5 - 2/5*u**2 - 1/10*u**3 + 1/10*u = 0. Calculate u.
-4, -1, 1
Let j = -25809 - -25809. What is r in -8/9*r**2 + 0*r - 2/9*r**4 - 8/9*r**3 + j = 0?
-2, 0
Let f = -20 + 24. Suppose 5*k - 405 = 4*x, 5*k + f*x - 191 = 254. Factor 44*h - 3*h**2 - k*h + 44*h.
-3*h*(h - 1)
Let x = -5845/2 - -2950. Factor x*c**2 + 9/2 + 39/2*c + 25/2*c**3.
(c + 1)*(5*c + 3)**2/2
Suppose 3*a = -0 + 6. Suppose 0 = a*c - 6*c. Solve 2*m - 3*m**2 + 6*m**4 - m**4 - 4*m**4 + c*m**4 = 0.
-2, 0, 1
Factor 7/2*m - 1/4*m**2 + 0.
-m*(m - 14)/4
Suppose 3 = 5*w + 23. Let u(p) = -27*p + 29*p**2 - 17*p - 1 - 2*p**2. Let v(b) = 7*b**2 - 11*b. Let q(m) = w*u(m) + 18*v(m). Factor q(d).
2*(d - 1)*(9*d - 2)
Factor -50/9*b - 2/9*b**2 - 92/9.
-2*(b + 2)*(b + 23)/9
Let l be -4*2/(-12)*3. Let r(q) be the first derivative of -3/34*q**4 + 0*q**l + 0*q - 2/51*q**3 - 3 - 1/51*q**6 - 6/85*q**5. Factor r(h).
-2*h**2*(h + 1)**3/17
Suppose -3*f + 7 = 10. Let o(k) = 4*k**2 + 4*k + 2. Let d(w) = w**3 - w - 1. Let c(m) = f*o(m) - 2*d(m). What is t in c(t) = 0?
-1, 0
Let x(j) be the third derivative of -j**5/20 - 21*j**4/8 - 10*j**3 - 72*j**2 - 2. Find f, given that x(f) = 0.
-20, -1
Let f(b) be the second derivative of 1/3*b**4 + 0 + 0*b**2 - 31*b - 1/15*b**6 + 0*b**3 - 1/10*b**5. Factor f(x).
-2*x**2*(x - 1)*(x + 2)
Let c = -2327/8 - -291. Let 0 + 7/8*t**5 + 0*t - 1/8*t**2 - 7/8*t**3 + c*t**4 = 0. Calculate t.
-1, -1/7, 0, 1
Let m = -2/104995 - -105003/419980. Factor 0*t**3 - 1/2*t**4 - 1/4*t + 1/2*t**2 + m*t**5 + 0.
t*(t - 1)**3*(t + 1)/4
Let l(n) = -n**2 - 6*n - 5. Let o be l(-6). Let z(b) = -3*b - 12. Let r be z(o). Factor 4*q**r - q**2 - 7/3*q**4 + 0 - 2/3*q.
-q*(q - 1)**2*(7*q + 2)/3
Let z(g) be the first derivative of -g**7/1260 + g**5/15 - 4*g**4/9 - 2*g**3 + 18. Let b(q) be the third derivative of z(q). Factor b(i).
-2*(i - 2)**2*(i + 4)/3
Let b = -1301 - -2611/2. Suppose -b - 15/2*d**2 + 3/2*d**3 + 21/2*d = 0. What is d?
1, 3
Let l(j) be the first derivative of -j**4/4 + 10*j**3/3 + 23*j**2/2 + 12*j - 177. Factor l(v).
-(v - 12)*(v + 1)**2
Let s be 108/(-486) + 76/18. Let n(h) be the first derivative of 0*h - 1/8*h**s + 2/3*h**3 - 3/4*h**2 - 1. Determine o so that n(o) = 0.
0, 1, 3
Let q(a) be the first derivative of 2*a**2 + 0*a + 1/180*a**5 - 2 + 0*a**4 - 1/18*a**3. Let h(l) be the second derivative of q(l). Factor h(w).
(w - 1)*(w + 1)/3
Suppose 20725 + 4027 = 7*u. Factor -3*p**2 + 16*p**3 - u - 14*p - p**2 - 2*p**5 + 3544 - 4*p**4.
-2*(p - 1)**3*(p + 1)*(p + 4)
Let q = -11 + 14. Solve -5*r**3 + q*r**4 + 2*r**4 + 20*r - 4*r**2 - 16*r**2 = 0.
-2, 0, 1, 2
Let d = 121 - 78. Let n = d - 128/3. Suppose -1/3*b**5 + 2/3*b**4 + 0*b**3 + 0 + n*b - 2/3*b**2 = 0. Calculate b.
-1, 0, 1
Let q be ((-2)/(-44))/((-250)/(-1375)). Let s(u) be the first derivative of 0*u - 5 + 5/12*u**3 + q*u**2 - 7/16*u**4. Factor s(h).
-h*(h - 1)*(7*h + 2)/4
Let o = 1862 + -14895/8. Let p(y) 