 + 0 - b*l**2 - 2/9*l**4. Factor m(d).
2*(d - 2)*(d - 1)**2/3
Let s(d) = 48 + 53 - 109 + 7*d - 9*d**2. Let j(g) = -11*g**2 + 8*g - 8. Let c(r) = -5*j(r) + 6*s(r). Factor c(b).
(b - 2)*(b + 4)
Suppose 3*i - 19*m = -14*m - 221, -m - 63 = i. Let p = i - -67. Factor -3/4*r**3 - 1/4*r**4 + 0*r - 1/2*r**2 + p.
-r**2*(r + 1)*(r + 2)/4
Let z(w) be the third derivative of 5/48*w**4 + 0 + 7/240*w**5 - 2/3*w**3 - 2*w - 1/480*w**6 - 8*w**2. Factor z(k).
-(k - 8)*(k - 1)*(k + 2)/4
Let i(b) be the third derivative of b**8/84 - 6*b**7/35 + 19*b**6/30 + 7*b**5/5 - 46*b**4/3 + 40*b**3 - 2*b**2 - b + 1407. Solve i(s) = 0 for s.
-2, 1, 2, 3, 5
Suppose -4*b = 4*j - 4, -4*b + j = -j - 10. Let w be b/(1/(44/8)). Determine k, given that 4*k**4 + k**4 - 10*k**3 + 10*k + 6*k**2 - w*k**2 = 0.
-1, 0, 1, 2
Let i = 2175064/7 - 310688. Factor -2*s**2 + 72/7 - i*s.
-2*(s + 18)*(7*s - 2)/7
Let c(f) be the second derivative of 1/7*f**2 - 1/42*f**4 + 19 + 1/35*f**5 - 2*f - 2/21*f**3. Factor c(p).
2*(p - 1)*(p + 1)*(2*p - 1)/7
Factor 14*q - 1/2*q**3 - 8 + 1/2*q**4 - 6*q**2.
(q - 2)**2*(q - 1)*(q + 4)/2
Suppose 0 = 3*a - 30, 155*a - 151*a - 37 = i. Solve 2*l - 8/5*l**4 + 4/5*l**2 - 2/5*l**5 + 4/5 - 8/5*l**i = 0.
-2, -1, 1
Suppose 0 = 111*p - 110*p - 99. Suppose -102*h + 6 = -p*h. Factor 0*d + 2/3*d**h - 3*d**3 + 0.
-d**2*(9*d - 2)/3
Suppose -71*a = -78*a + 42. Suppose -65*d = -3*s - 62*d - a, 3*s = -4*d + 22. Determine u so that 0 - 4/3*u**2 + 2*u**4 + s*u**3 + 0*u - 4/3*u**5 = 0.
-1, 0, 1/2, 2
Let d(g) be the third derivative of -g**6/320 - 53*g**5/80 - 91*g**4/2 - 338*g**3 + 1225*g**2. Factor d(x).
-3*(x + 2)*(x + 52)**2/8
Find o such that 255/4 + 22*o + 1/4*o**2 = 0.
-85, -3
Let y(q) = -5*q**2 + 1207*q - 1258. Let f(u) = 6*u**2 - 1611*u + 1677. Let c(k) = -7*f(k) - 9*y(k). Factor c(r).
3*(r - 1)*(r + 139)
Factor 4/5*i**3 + 26/5*i + 28/5 - 58/5*i**2.
2*(i - 14)*(i - 1)*(2*i + 1)/5
Let t = 29333 - 29331. Factor -1/3*c**t + 2/3*c + 0.
-c*(c - 2)/3
Let u = -6786 + 6791. Let z(k) be the third derivative of 0*k**3 + 0 - 1/6*k**4 + 0*k + 3*k**2 - 1/15*k**u. Let z(o) = 0. Calculate o.
-1, 0
Let l = -1550 + 1563. Suppose o - 8 = -4*d - 0*o, 3*d = o + l. Factor 24/7*c + 6/7 + 36/7*c**d - 66/7*c**2.
6*(c - 1)**2*(6*c + 1)/7
Let a(c) be the second derivative of -5/8*c**4 + 0*c**3 + 4*c**2 + 0 - 1/20*c**5 + 10*c. Let i(l) be the first derivative of a(l). Find j such that i(j) = 0.
-5, 0
Let f(p) be the third derivative of -5*p**8/336 - p**7/21 + 11*p**6/12 - 4*p**5/3 - 35*p**4/8 + 15*p**3 + 42*p**2. Solve f(a) = 0 for a.
-6, -1, 1, 3
Suppose -3*q + 5*m = -196, 10*q + m - 220 = 7*q. Factor -24*y**2 + 25*y - 30*y**2 - 93*y + 58*y**2 - q.
4*(y - 18)*(y + 1)
Let b(l) be the third derivative of -l**5/150 + l**4/6 - 16*l**3/15 + 6*l**2 + 8*l. Factor b(z).
-2*(z - 8)*(z - 2)/5
Let z(d) be the third derivative of 0*d**3 - 5/3*d**4 + 35*d**2 - 1/30*d**6 + 0 + 0*d + 11/15*d**5. What is n in z(n) = 0?
0, 1, 10
Let l(w) = w**2 - 95*w - 602. Let a be l(-6). Suppose n = -a*u + 2*n + 21, -5*n = -u + 10. Factor -u*h**2 + 0 - 5*h - 5/4*h**3.
-5*h*(h + 2)**2/4
Suppose -697 - 2092/3*h - 1/3*h**2 = 0. Calculate h.
-2091, -1
Solve -1/6*v**4 + 0*v + 110/3*v**2 - 73/2*v**3 + 0 = 0.
-220, 0, 1
Let x(j) be the third derivative of 4*j**5/3 - 61*j**4/18 + 2*j**3/9 + 996*j**2. Let x(z) = 0. Calculate z.
1/60, 1
Suppose 18 = 4*u + 7*d - 2*d, -2*d = -4. Let k(s) = -s**3 - 2*s**2 + s + 1. Let n be k(-3). Find b such that -b + 2*b - u*b**2 + n*b - 8 = 0.
2
Let x = -109363/5 + 21873. Suppose 0 + 4/5*v**2 + 2/5*v**3 + 0*v - x*v**4 = 0. What is v?
-1, 0, 2
Factor 118/13*h - 60 + 2/13*h**2.
2*(h - 6)*(h + 65)/13
Let q(o) = -o**3 + 31*o**2 + 71*o - 146. Let v be q(33). Let r be v/(95/10) - -2. Factor -3/2*k + 0 - 15/8*k**3 - 3*k**2 - 3/8*k**r.
-3*k*(k + 1)*(k + 2)**2/8
Let d = 23 + 88. Find r, given that -9*r**3 - 8 - d*r**4 - 18*r**2 + 218*r**4 - 108*r**4 - 20*r + 2*r**3 = 0.
-2, -1
Suppose -12*w + 4*w - 80 = 0. Let r be (-17)/w - (4/(-8) - -2). Factor r*t**2 + 36/5 - 12/5*t.
(t - 6)**2/5
Let d(n) be the third derivative of 1/105*n**7 - 1/30*n**5 + 0 - 1/336*n**8 + 0*n**4 + 0*n**3 + 0*n + 42*n**2 + 1/120*n**6. Factor d(l).
-l**2*(l - 2)*(l - 1)*(l + 1)
Let s be ((-191235)/(-39501))/((-5)/(-7)). Factor s*i**2 - 7/3*i + 1/9*i**4 - 5/3*i**3 - 98/9.
(i - 7)**2*(i - 2)*(i + 1)/9
Let v(g) be the third derivative of 0*g**3 + 1/42*g**4 + 0 + 0*g + 41*g**2 + 1/105*g**5. Factor v(r).
4*r*(r + 1)/7
Let r = 2/25257 - -8417/25257. Let j(s) be the third derivative of r*s**5 + 21*s**2 + 0 + 0*s + 35/24*s**4 + 5/2*s**3. What is d in j(d) = 0?
-1, -3/4
Suppose 0 = -5*w - 2*w + 14. Factor -2*s**2 - 8*s**4 - 5*s**3 + 7*s**2 - 11*s**w + 7*s**4.
-s**2*(s + 2)*(s + 3)
Let c(g) = -5*g**3 + 4*g**2 + 5*g - 6. Let p be c(-2). Let 4*s**3 + 14*s**4 + 28*s + 4*s**5 + 32 - p*s**2 + 2*s**4 - 44*s = 0. What is s?
-2, 1
Factor 4/7 + 90/7*v + 86/7*v**2.
2*(v + 1)*(43*v + 2)/7
What is d in 1023/7*d**3 - 1023/7*d - 12/7 + 1047/7*d**2 - 1035/7*d**4 = 0?
-1, -4/345, 1
Find v such that -400 - 28*v + 65*v**3 - 185*v**2 - 115*v**2 - 5*v**4 + 119*v + 265*v + 224*v = 0.
2, 4, 5
Let b = -41143 + 41143. Factor 25*c + b - 1/2*c**2.
-c*(c - 50)/2
Let w(u) be the first derivative of -27/4*u**4 + 78*u**3 - 147/2*u**2 - 29 + 24*u. Factor w(o).
-3*(o - 8)*(3*o - 1)**2
Let f(n) be the first derivative of -n**5/30 + n**4/6 + n**3/9 - n**2 + 57*n - 58. Let q(h) be the first derivative of f(h). Determine k, given that q(k) = 0.
-1, 1, 3
Let c be (11/2 + -4)/(-54*(-36)/9396). Factor 7/4 + 17/2*k**3 + 1/4*k**5 + 11/4*k**4 + 23/2*k**2 + c*k.
(k + 1)**4*(k + 7)/4
Find n such that -2/13*n**2 + 348/13*n + 350/13 = 0.
-1, 175
Let j(z) = -z**2 + 35*z - 230. Let o be j(9). Let h(d) be the first derivative of d**3 - 2 + d - 1/4*d**o - 3/2*d**2. Let h(v) = 0. Calculate v.
1
Let c(d) = d**2 + 112*d + 121. Let r(g) = -2*g**2 - 110*g - 123. Let w(k) = 3*c(k) + 2*r(k). Factor w(x).
-(x - 117)*(x + 1)
Suppose -55*u - 12 = -57*u. Let x(p) be the third derivative of 5*p**2 + 1/360*p**u - 7/360*p**5 + 1/9*p**3 + 1/36*p**4 + 0 + 0*p. Factor x(v).
(v - 2)**2*(2*v + 1)/6
Let i be 186/9 + -2 - 46/(1426/62). Determine k so that -i*k**4 + 64 + 464*k**2 + 1000/3*k + 70*k**3 = 0.
-3, -2/5, 8
Let g(b) = 3*b**3 - 7*b - 10. Let z be g(3). Let d be z/660 + 3*25/90. Suppose -8/11 + 8/11*n**2 + d*n - 10/11*n**3 = 0. Calculate n.
-1, 4/5, 1
Factor -11777656/17 + 2/17*p**5 + 48530/17*p**2 - 50/17*p**4 + 465520/17*p - 1930/17*p**3.
2*(p - 23)**3*(p + 22)**2/17
Suppose -q + 0 + 1 = o, -2*q = 4*o + 4. Suppose -6*g = -4*g + q*i + 20, 4*g + 2*i + 10 = 0. Factor 3/5*b**5 + 0 + 0*b + g*b**2 + 3/5*b**3 + 6/5*b**4.
3*b**3*(b + 1)**2/5
Let t(m) be the third derivative of -m**6/120 + m**5/10 + 4*m**4/3 - 7*m**3 + 90*m**2. Let r be t(9). Factor -2/11*n**r + 2/11*n**2 + 0 - 2/11*n**4 + 2/11*n.
-2*n*(n - 1)*(n + 1)**2/11
Let c(a) = -34*a**3 + 2407*a**2 + 34*a - 2299. Let o(l) = -5*l**3 + 344*l**2 + 5*l - 328. Let q(i) = 4*c(i) - 27*o(i). Determine n so that q(n) = 0.
-1, 1, 340
What is y in 5*y**3 + 0*y + 23/2*y**4 - 5/2*y**5 + 0*y**2 + 0 = 0?
-2/5, 0, 5
Factor -1/3*y**2 - 7*y - 68/3.
-(y + 4)*(y + 17)/3
Let d(a) be the first derivative of -2*a**5/15 - 44*a**4/3 - 346*a**3/9 - 86*a**2/3 - 548. Factor d(c).
-2*c*(c + 1)**2*(c + 86)/3
Let h be ((-24)/(-9))/(((-32)/6)/(-8)). Suppose -4*t - 2 = h*w - 26, w = 4. What is y in -1/3*y**3 - y - 1/3 - y**t = 0?
-1
Let 0 + 8/9*l**2 - 2/9*l**4 - 16/3*l + 4/3*l**3 = 0. What is l?
-2, 0, 2, 6
Suppose 0 = -111942*q + 113226*q - 7704. Factor 0 - 19/3*g - q*g**2 + 1/3*g**3.
g*(g - 19)*(g + 1)/3
Let m be (-2 + 14)*104/39. Factor 3*u**3 + 30*u**2 - 25*u**4 - m*u**3 - 6*u**3.
-5*u**2*(u + 2)*(5*u - 3)
Let r(i) = -7*i - 34. Let n be r(-8). Suppose -2*o + 9 = u, -n*o + 24*o = 4*u - 6. Factor -1/3*c**3 - 8/3*c**2 + 0 + o*c.
-c*(c - 1)*(c + 9)/3
Let p(s) be the first derivative of s**5 - 5/4*s**4 - 10*s - 5*s**3 + 25/2*s**2 - 156. Factor p(c).
5*(c - 1)**3*(c + 2)
Suppose -10*k = -9 - 11. Let x be 212/130 - 11*(-20)/(-550). Suppose x*c + 2/13*c**k - 18/13 = 0. What is c?
-9, 1
Factor -810*m**2 - 162 - 810*m**2 - 812*m**2 + 2435*m**2 + 45*m.
3*(m - 3)*(m + 18)
Let w = -3048 - -1005841/330. Let j(p) be the third derivative of 0*p + 0 + 16*p**2 + w*p**5 - 1/132*p**4 + 0*p**3. Factor j(i).
2*i*(i -