*q**4/3 + 46*q**3/3 + 12*q**2 - 15*q + 63. Factor f(r).
4*(r + 1)**2*(r + 3)*(3*r + 2)
Let m(q) be the first derivative of -10*q**3/13 - 43*q**2/13 + 12*q/13 + 150. Suppose m(v) = 0. What is v?
-3, 2/15
Let v(q) be the third derivative of q**6/70 - 131*q**5/140 - 625*q**4/56 - 74*q**3/7 + q**2 - 2114*q. Suppose v(u) = 0. Calculate u.
-4, -1/4, 37
Let q = 99329/3735 - 145/747. Suppose q*y + 136/5 - 4/5*y**2 = 0. Calculate y.
-1, 34
Solve 316*q**2 + 19 + 4*q**3 - 129*q - 367 - 16*q**3 + 1069*q = 0.
-3, 1/3, 29
Let o(r) = 135*r**3 + 3760*r**2 + 7265*r + 3790. Let s(v) = 8*v**3 + 221*v**2 + 427*v + 223. Let i(u) = 3*o(u) - 50*s(u). Solve i(l) = 0 for l.
-44, -1
Let r(t) be the first derivative of -110 + 0*t + 64/25*t**5 - 256/15*t**3 + 32/5*t**2 + 24/5*t**4 - 14/15*t**6. Solve r(d) = 0.
-2, 0, 2/7, 2
Solve 4/9*i**2 - 70/9*i - 2/9*i**5 + 32/9*i**4 + 8*i**3 - 4 = 0 for i.
-1, 1, 18
Let k be (-18)/(-8)*(-66 - -18). Let t be k/(-231) + -3*6/63. Factor t*v**2 - 6/11*v + 4/11.
2*(v - 2)*(v - 1)/11
Let j(a) be the third derivative of -a**5/12 - 75*a**4/8 - 935*a**3/3 + 2*a**2 - 1193*a - 1. Factor j(l).
-5*(l + 11)*(l + 34)
Let b(d) be the second derivative of -d**5/45 + 4*d**4/27 + 104*d**3/27 + 160*d**2/9 - 555*d + 1. Let b(g) = 0. Calculate g.
-4, -2, 10
Let u(w) = -w + 7. Let t be u(5). Let j(c) = -c**2 - 2*c + 18. Let g be j(3). Factor g*s**3 + s**3 - 4*s**3 + 4*s + 6*s**t + 2*s**3.
2*s*(s + 1)*(s + 2)
Let s be (-102)/(-459)*9*6. Let n(a) = 4*a**2 - 47*a - 9. Let f be n(s). Factor 6/5*x**2 - 6/5 + 4/5*x**f - 4/5*x.
2*(x - 1)*(x + 1)*(2*x + 3)/5
Let x = 9604 + -9602. Let k(o) be the second derivative of -11*o + 0*o**x + 0 + 3/8*o**4 + 9/8*o**3 + 3/80*o**5. Factor k(l).
3*l*(l + 3)**2/4
Let z(b) be the second derivative of b**6/180 + 13*b**5/60 - 5*b**4/2 - b**3/6 - b**2 + 178*b. Let g(i) be the second derivative of z(i). Factor g(j).
2*(j - 2)*(j + 15)
Let l(u) be the third derivative of -u**8/672 - u**7/105 + u**6/6 - 5*u**5/12 - 13*u**4/16 + 9*u**3/2 + 9913*u**2. Determine j, given that l(j) = 0.
-9, -1, 1, 2, 3
Let j = -1/152723 - -152725/305446. Factor -1/2 - 3/2*k**2 + 3/2*k + j*k**3.
(k - 1)**3/2
Let b(y) be the first derivative of -y**6/4 + 18*y**5/5 + 177*y**4/8 + 39*y**3 + 24*y**2 - 1132. What is m in b(m) = 0?
-2, -1, 0, 16
Let i = -2247 - -2252. Let v(a) be the first derivative of 0*a + 1/4*a**4 + 0*a**2 + 6 + 7/12*a**6 + 0*a**3 - 9/10*a**i. Let v(p) = 0. What is p?
0, 2/7, 1
Let j(k) be the first derivative of 10/57*k**3 + 0*k**2 + 0*k + 1/38*k**4 + 62. Suppose j(s) = 0. What is s?
-5, 0
Suppose -5*r = 12*z - 9*z - 40, -2*r = 2*z - 20. Let m be 12/(1 + 1) + -1 - z. Factor m - 2*u**2 + 2/3*u.
-2*u*(3*u - 1)/3
Solve 297/5*h - 147/5 - 3/5*h**5 - 6/5*h**2 - 294/5*h**3 + 153/5*h**4 = 0 for h.
-1, 1, 49
Let p be (-2)/9 - (-25429)/112041. Let i = p + 5057/1477. Determine y, given that -i*y**4 - 24/7*y + 6/7*y**5 + 24/7*y**2 + 0 + 18/7*y**3 = 0.
-1, 0, 1, 2
Factor -74/5*l**2 + 0 + 2/5*l**3 - 616/5*l.
2*l*(l - 44)*(l + 7)/5
Let b(p) be the second derivative of -p**6/105 - 1044*p**5/35 - 242555*p**4/7 - 340049600*p**3/21 - 1007107125*p**2/7 + 153*p + 1. Factor b(h).
-2*(h + 3)*(h + 695)**3/7
Let q(k) = -k**4 - 18*k**3 + k - 1. Let i(t) = 8*t**4 - 176*t**3 + 2004*t**2 - 5156*t + 3396. Let a(f) = i(f) + 4*q(f). Solve a(m) = 0 for m.
1, 4, 53
Suppose -4 = c - 6. Suppose 0 = 5*t - 5, -8*h + c*t + 28 = -3*h. Factor -2*p**3 - 3*p**2 - 3*p**2 + h*p**2 + 4*p - 2*p**2.
-2*p*(p - 1)*(p + 2)
Let q(g) be the second derivative of -g**5/30 + 41*g**4/18 - 559*g**3/9 + 845*g**2 - 3403*g. Factor q(n).
-2*(n - 15)*(n - 13)**2/3
Let s(p) be the second derivative of p**6/120 + p**5/240 - 23*p**2 + 2*p - 3. Let j(c) be the first derivative of s(c). Find d such that j(d) = 0.
-1/4, 0
Let o(g) be the first derivative of -g**6/300 + 2*g**5/75 - g**4/12 + 2*g**3/15 - g**2/2 - 43*g - 38. Let n(f) be the second derivative of o(f). Factor n(j).
-2*(j - 2)*(j - 1)**2/5
Let m be ((-510)/(-3400))/(0 - 6/(-5)). Let f(v) be the third derivative of 0*v**3 - 5/4*v**4 - 27/20*v**5 - m*v**6 + 0*v + 0 - 28*v**2. Solve f(d) = 0 for d.
-5, -2/5, 0
Suppose -28*p**2 + 83*p**5 - 12*p - 23*p**2 + 27*p**4 - 32*p**5 - 39*p**5 + 24*p**4 = 0. What is p?
-4, -1, -1/4, 0, 1
Let x(m) = m**2 - 29*m + 18. Let r be x(32). Determine l, given that 61*l - 92 - 60 - r*l + 4*l**2 - 8*l - 87*l = 0.
-1, 38
Let l be -168*(2/(-14) + 33/(-63)). Find o, given that 57*o**3 + 6*o - 6*o**4 - 3*o**2 + 40*o**3 - l*o**3 = 0.
-2, -1, 0, 1/2
Let j(r) be the first derivative of -r**3/8 - 213*r**2/16 + 2403*r/4 + 4472. Factor j(f).
-3*(f - 18)*(f + 89)/8
Suppose 4*g + 3*b - 23 = 0, 3 + 5 = -g + 2*b. Factor 9*x**2 + 0*x**2 + 12 + 18 + 25*x - 2*x**2 - g*x**2.
5*(x + 2)*(x + 3)
Solve 214/9*o**4 + 996072 + 21770*o**2 - 232848*o - 9158/9*o**3 - 2/9*o**5 = 0 for o.
21, 22
Let z(s) = -s + 1. Let o(l) = -3*l**2 + 563*l + 1123. Let d(u) = o(u) + 5*z(u). Suppose d(q) = 0. Calculate q.
-2, 188
Let n = 394281/7 - 56321. Solve -10/7*x**4 + 16/7 + 40/7*x - n*x**3 - 12/7*x**2 = 0 for x.
-2, -2/5, 1
Let h(o) = o**2 - 31*o + 64. Let i be h(23). Let p be 2/(-4)*-1*(-40)/i. Suppose -p*m + 1/6*m**2 - 1 = 0. Calculate m.
-2, 3
Suppose -55*t + 46 = -53*t + 2*p, 3*p = -36. Find o, given that t*o - 5/2*o**2 + 75/2 = 0.
-1, 15
Let q be 12/168*49*2/14. Suppose 0 = 3*y + 3*d + 6, 3*y - 2*d + 4 = -4*d. Let q*r**3 - r + 1/2*r**2 + y = 0. Calculate r.
-2, 0, 1
Suppose 55/2 + 1/2*t**4 + 7*t**3 - 47*t + 12*t**2 = 0. Calculate t.
-11, -5, 1
Let z(n) be the second derivative of -n**4/78 - 22*n**3 - 14157*n**2 - 12*n + 13. Factor z(d).
-2*(d + 429)**2/13
Let p(n) be the second derivative of n**7/147 - 2*n**6/21 + 8*n**5/35 + 159*n + 2. Suppose p(o) = 0. What is o?
0, 2, 8
Let o(w) = -80*w**3 + 12355*w**2 - 74115*w + 109240. Let c(z) = 3*z**3 - 458*z**2 + 2745*z - 4046. Let t(f) = 55*c(f) + 2*o(f). What is x in t(x) = 0?
3, 90
Factor -2/5*c**3 + c**2 - 2/5 - 1/5*c.
-(c - 2)*(c - 1)*(2*c + 1)/5
Let b = -333 - -348. Let t(o) = 2*o**4 + 5*o**3 - 13*o**2 + 3*o. Let d(q) = -q**4 + q**3 + 2*q**2 - q. Let j(k) = b*d(k) + 5*t(k). Factor j(r).
-5*r**2*(r - 7)*(r - 1)
Let j(c) be the first derivative of 2*c**3/3 + 1196*c**2 + 715208*c + 7394. Find l, given that j(l) = 0.
-598
Let h(r) = -r**3 - 61*r + 119*r - 59*r + r**4. Let f(o) = 0*o**3 + 3*o**4 - 3 - 9*o + 3*o**4 - 15*o**3 + 9*o**2. Let q(c) = -f(c) + 12*h(c). Factor q(v).
3*(v - 1)*(v + 1)**2*(2*v - 1)
Let g(r) = r**3 - 3*r + 3. Let i be g(2). Factor -7*t**2 - 5*t**2 + 27*t**2 - 5*t**3 + i*t - 15.
-5*(t - 3)*(t - 1)*(t + 1)
Let y(m) be the third derivative of -m**8/84 - 16*m**7/105 + m**6 - 32*m**5/15 + 11*m**4/6 + 42*m**2. Determine i so that y(i) = 0.
-11, 0, 1
Let z(f) be the first derivative of -f**4/4 - 34*f**3/3 + 37*f**2/2 + 74*f - 135. Let t be z(-35). What is j in 1/2*j**3 - 1/12*j**t + j - 13/12*j**2 - 1/3 = 0?
1, 2
Let t(a) be the second derivative of a**5/20 - 37*a**4/12 - 77*a**3/6 - 39*a**2/2 + 2*a + 62. Factor t(f).
(f - 39)*(f + 1)**2
Let v = 667 - -910. Suppose v*l - 1586*l + 36 = 0. Suppose 0*s + 5/4*s**2 + 3/4*s**l + 0 - 1/4*s**5 + 9/4*s**3 = 0. Calculate s.
-1, 0, 5
Let m(f) be the third derivative of -f**7/210 + 3*f**6/40 - 9*f**5/20 + 31*f**4/24 - 2*f**3 + 180*f**2. Factor m(b).
-(b - 4)*(b - 3)*(b - 1)**2
Suppose -597*s + 2*s**3 - 190*s**2 + 331*s + 264*s + 190 = 0. Calculate s.
-1, 1, 95
Let y(m) = -8*m**2 - 74*m + 57. Let d(g) = g**3 - 5*g**2 + 10*g - 17. Let z be d(3). Let f(b) = 26*b**2 + 224*b - 170. Let v(i) = z*f(i) - 16*y(i). Factor v(q).
-2*(q - 31)*(q - 1)
Let w(f) be the third derivative of -13*f**2 + 5 - 1/80*f**5 + 1/16*f**4 - 1/320*f**6 + 1/2*f**3 + 0*f. Determine n, given that w(n) = 0.
-2, 2
Let v be (49 + -51 - 324/(-210))/((-2)/10). Factor -4/7*b**2 - 24/7*b + 6/7*b**3 + 2/7*b**4 - v.
2*(b - 2)*(b + 1)*(b + 2)**2/7
Let v(l) be the third derivative of l**8/448 - 2*l**7/105 - l**6/120 + 23*l**5/40 - 69*l**4/32 + 9*l**3/4 - 6*l**2 + 2*l + 56. Let v(r) = 0. What is r?
-3, 1/3, 2, 3
Suppose 0 = -4*q + 7*q - 9. Factor -5*n**q - 1100*n + 588*n - 63 + 572*n - 17.
-5*(n - 2)**2*(n + 4)
Factor -3/5*j**2 - 42*j + 432/5.
-3*(j - 2)*(j + 72)/5
Suppose 3*k + 9*d - 13 = 7*d, 0 = -2*k + 3*d + 13. Let a be k + ((-285)/4)/15. Suppose 0*t - a*t**2 + 1/4 = 0. Calculate t.
-1, 1
Let p(c) 