253/317660. Factor 1/4*o**4 - p*o + 13/4*o**2 + 7/4*o**3 - 9/2.
(o - 1)*(o + 2)*(o + 3)**2/4
Let z(t) = -t**3 + 13*t**2 - 20*t + 93. Let r be z(12). Let y be (-7 - (-171)/27) + (-14)/r. Solve 1/5*a - 1/5*a**2 - 1/5*a**3 + 1/5*a**y + 0 = 0.
-1, 0, 1
Suppose -6534*p - 8876 = -943*p - 25649. Suppose 13/4*u**p - 1/4*u**5 - 1/4*u**2 - 3*u + 0 + 1/4*u**4 = 0. Calculate u.
-3, -1, 0, 1, 4
Let j(w) be the second derivative of -w**4/114 + 22*w**3/57 + 135*w**2/19 - 9*w + 30. Suppose j(g) = 0. Calculate g.
-5, 27
Let f be (-6)/21 - (-176)/77. Let j be -5*(2/(-3))/(110/6). Suppose j + 0*h - 2/11*h**f = 0. What is h?
-1, 1
Factor -85*t - 231*t + 0*t + 3*t**2 + t**2.
4*t*(t - 79)
Let n(h) = -39*h**3 - 63*h**2 - 408*h - 15. Let i(o) = 5*o**3 + 9*o**2 + 58*o + 2. Let q(z) = 15*i(z) + 2*n(z). Factor q(g).
-3*g*(g - 6)*(g + 3)
Let n(d) be the first derivative of -d**5/30 + 11*d**4/2 - 363*d**3 + 187*d**2/2 + 163. Let g(y) be the second derivative of n(y). Factor g(o).
-2*(o - 33)**2
Let p(r) be the second derivative of -5*r**4/24 - 3*r**3/2 - 4*r**2 - 1352*r. Factor p(w).
-(w + 2)*(5*w + 8)/2
Suppose 12*d - 11*d = 37. Let t = -35 + d. Factor -20*l**2 + 10 - 78*l**2 - 45*l - 101*l**2 + 24*l**t.
-5*(5*l + 2)*(7*l - 1)
Factor 21*f - 76 + 9*f**2 + 9 + 37.
3*(f - 1)*(3*f + 10)
Let m(n) = 140*n**2 + 23835*n - 23825. Let j(y) = -39*y**2 - 6810*y + 6807. Let u(f) = -25*j(f) - 7*m(f). Suppose u(g) = 0. Calculate g.
1, 680
Let y be (-5 + 12)*(9 + -862*3/294). Suppose -10/7*u**3 + 2/7*u**4 + y*u + 10/7*u**2 - 12/7 = 0. What is u?
-1, 1, 2, 3
Let w(n) be the third derivative of n**7/350 - n**6/50 - 11*n**5/100 - 3*n**4/20 + 1078*n**2. Find h, given that w(h) = 0.
-1, 0, 6
Determine m, given that -252/5*m + 0 - 4/5*m**4 + 52*m**2 - 4/5*m**3 = 0.
-9, 0, 1, 7
Let m be 6/9*1386/1540. Factor -1638/5*c**2 - 8112/5*c - m*c**4 - 24*c**3 - 6591/5.
-3*(c + 1)*(c + 13)**3/5
Let w(r) = -8*r + 20. Let z be w(2). Factor -9 + 0*a**2 - 51*a - z*a**2 + 14*a.
-(a + 9)*(4*a + 1)
Let z(q) be the second derivative of -55/8*q**2 + 5/24*q**4 - 11/8*q**5 + 5/168*q**7 + 3/8*q**6 + 1 + 29*q + 35/8*q**3. Let z(h) = 0. Calculate h.
-11, -1, 1
Let c(p) be the second derivative of -p**4/22 - 2528*p**3/33 + 843*p**2/11 - 10*p + 121. Factor c(d).
-2*(d + 843)*(3*d - 1)/11
Let q = 19924 - 19883. Let w(p) be the third derivative of -q*p**2 + 0*p**4 - 2/5*p**5 - p + 1/30*p**6 + 64/3*p**3 + 0. Factor w(t).
4*(t - 4)**2*(t + 2)
Factor -2/5*l**4 + 0 + 0*l**2 + 0*l - 1584/5*l**3.
-2*l**3*(l + 792)/5
Let d(l) be the third derivative of -5/24*l**4 + 0 + 1/24*l**6 + 1/12*l**5 + 0*l + 0*l**3 - 59*l**2 - 1/42*l**7. Determine f so that d(f) = 0.
-1, 0, 1
Let a(l) be the second derivative of l**4/78 + 175*l**3/39 - 900*l**2/13 - l - 2375. Factor a(k).
2*(k - 5)*(k + 180)/13
Let v(d) be the first derivative of -d**7/2100 + d**6/450 + d**5/100 + 34*d**3/3 - 67. Let w(o) be the third derivative of v(o). Factor w(s).
-2*s*(s - 3)*(s + 1)/5
Let d(c) be the first derivative of 0*c + 1/10*c**6 + 23 - 3/25*c**5 - 3/4*c**4 - 3/5*c**3 + 0*c**2. Factor d(m).
3*m**2*(m - 3)*(m + 1)**2/5
Let s(k) be the second derivative of k**6/30 - k**5/10 - k**4/12 + k**3/3 + 704*k + 2. Factor s(o).
o*(o - 2)*(o - 1)*(o + 1)
Let f = -98598 - -197197/2. Factor 288 + 24*s + f*s**2.
(s + 24)**2/2
Suppose 0 = -16*o + 13*o + 9. Find r such that 411*r**2 - 154*r**2 + 147*r**o - 155*r**2 + 75*r**5 - 24 - 240*r**4 - 60*r = 0.
-2/5, 1, 2
Let c(v) be the third derivative of v**8/1848 + 2*v**7/385 - 21*v**6/220 + 18*v**5/55 + 29*v**2 + 2*v + 19. What is i in c(i) = 0?
-12, 0, 3
Let 1/3*b**3 + 1/3*b**5 + 4/3*b**4 - 10/3*b**2 + 8/3 - 4/3*b = 0. Calculate b.
-2, 1
Determine z so that 840*z - 140*z**2 + 75*z**4 + 5*z**5 + 370*z**3 + 320 + 345*z**2 + 243*z**2 + 260*z**2 + 112*z**2 = 0.
-8, -2, -1
Suppose -j + 3 = -b - 2, -5*b = 4*j + 7. Solve -51*p**j + 15*p**2 + 2 + 14*p**2 + 15*p**2 + 13*p = 0 for p.
-1/7, 2
Let i be (-2)/27 - 112/(-945). Let g(d) be the third derivative of -1/150*d**5 + 0 - 1/180*d**4 + i*d**3 + 20*d**2 + 0*d. Factor g(s).
-2*(s + 1)*(3*s - 2)/15
Let j = -431 + 664. Let o = -117 + j. Factor 204 + 84*c**2 - 99*c + o - 141*c - 24*c**2 - 5*c**3.
-5*(c - 4)**3
Suppose -4770/7*c**2 - 3/7*c**4 - 8352/7 - 549/7*c**3 - 12576/7*c = 0. Calculate c.
-174, -4, -1
Let o be -6 - (0 - 4326/288). Let t = o - 59/16. Suppose -8/3*z - t*z**3 + 20/3*z**2 + 4/3*z**4 + 0 = 0. What is z?
0, 1, 2
Let v(r) = 770*r**2 + 52*r - 22. Let m(c) = -4*c**2 + 2*c + 2. Let n(a) = 12*m(a) + v(a). Factor n(q).
2*(19*q + 1)**2
Let o(v) be the second derivative of -v**4 + 33*v - 1 + 6*v**2 - 1/10*v**5 + 1/3*v**3. What is m in o(m) = 0?
-6, -1, 1
Let v(b) be the second derivative of b**7/280 - 2*b**6/5 + 72*b**5/5 - 11*b**3/3 - 2*b**2 - 3*b - 43. Let z(i) be the second derivative of v(i). Factor z(s).
3*s*(s - 24)**2
Let f be (26/(-39) + 104/(-6))/(-2). Factor -15*a**2 + 27 - f*a - 10*a**3 - 3*a**3 + 10*a**3.
-3*(a - 1)*(a + 3)**2
Suppose 2*y = -2*h + 40, -14 = -2*y - 5*h + 14. Suppose f + y = 33. What is j in -j**2 + 5*j**2 + f - 7 - j**3 - 5*j = 0?
1, 2
Let h(o) = -10*o**3 - 59*o**2 - 7*o + 7. Let q(s) = 3*s**3 + 20*s**2 + 2*s - 2. Let m(t) = -2*h(t) - 7*q(t). Factor m(r).
-r**2*(r + 22)
Let t(y) = -6*y**2 + 10*y + 20. Let h(s) be the first derivative of 7*s**3/3 - 11*s**2/2 - 20*s + 177. Let z = 0 + -5. Let x(f) = z*t(f) - 4*h(f). Factor x(p).
2*(p - 5)*(p + 2)
Let k(y) be the first derivative of -1/9*y**6 - 1 + 0*y**2 - 1/6*y**4 - 4/15*y**5 + 0*y**3 + 0*y. Solve k(g) = 0 for g.
-1, 0
Let a(d) be the first derivative of -14*d**3/3 - 79*d**2/8 - 9*d/2 - 387. Factor a(x).
-(7*x + 2)*(8*x + 9)/4
Let o(c) be the second derivative of c**5/30 - 11*c**4/3 + 484*c**3/3 + 57*c**2/2 - 37*c. Let s(j) be the first derivative of o(j). Factor s(g).
2*(g - 22)**2
Let w(k) be the third derivative of -7/6*k**4 + 2/105*k**7 + 0*k - 1/6*k**6 + 0 - 13/15*k**5 + 33*k**2 + 0*k**3. Factor w(z).
4*z*(z - 7)*(z + 1)**2
Factor -196*w**2 + 11151*w - 176*w**2 + 6*w**3 + 8*w**3 - 10*w**3 + 23814 - w**3.
3*(w - 63)**2*(w + 2)
Let g(c) = -5*c**4 + 22*c**3 - 19*c**2 - 34*c + 6. Let i(h) = -11*h**4 + 46*h**3 - 39*h**2 - 70*h + 13. Let m(f) = 13*g(f) - 6*i(f). Factor m(z).
z*(z - 2)*(z + 1)*(z + 11)
Factor 115*t**4 + 42*t**4 - 318*t**4 - 24156*t**2 + 2480*t**3 + 1588867 - 85583*t + 97*t**4.
-(t + 7)*(4*t - 61)**3
Let z(i) = -i**2 - 2*i + 18. Let s be z(0). Factor -12 - s*n**2 - 4 - 75*n + 4.
-3*(n + 4)*(6*n + 1)
Let i = 824 - 824. Let m(l) be the third derivative of 1/600*l**6 - 23*l**2 + 0*l**3 + 1/1050*l**7 + 0 - 1/150*l**5 + i*l + 0*l**4. Factor m(z).
z**2*(z - 1)*(z + 2)/5
Let q be (4/66*3)/((99/363)/3). Let d(w) be the first derivative of 3/4*w**4 - w**3 + 3/5*w**5 + 0*w - 3/2*w**q - 27. Determine s so that d(s) = 0.
-1, 0, 1
Factor -w**2 + 0 + 127/4*w**3 + 0*w - 63/8*w**4.
-w**2*(w - 4)*(63*w - 2)/8
Let n = 343 - 350. Let q(s) = -6*s**3 - 28*s**2 - 73*s - 37. Let d(y) = 3*y**3 + 13*y**2 + 37*y + 19. Let r(a) = n*d(a) - 4*q(a). Let r(i) = 0. What is i?
-5, -1
Let d(k) be the second derivative of -k**5/100 - 5*k**4/24 - 4*k**3/15 + 112*k**2 + 14*k + 1. Let v(u) be the first derivative of d(u). Factor v(i).
-(i + 8)*(3*i + 1)/5
Let l be (95004/(-17052))/((-18)/28). Let d = 917/3 - 301. Factor -44/3*w**2 - d*w**4 + l*w - 2 + 2/3*w**5 + 12*w**3.
2*(w - 3)*(w - 1)**4/3
Let -3/2*q**2 - 81*q - 432 = 0. Calculate q.
-48, -6
Suppose 3*z - 5*l + 35 + 29 = 0, 21*l - 288 = 3*z. Let 56/13*h - 44/13*h**3 - z*h**2 + 24/13 - 10/13*h**4 = 0. Calculate h.
-3, -2, -2/5, 1
Suppose 5*g - 5*p = -4875, g - 4*p - 2890 = 4*g. Let b = g + 972. Suppose 0 - 3/2*q**b + 0*q + 1/2*q**3 = 0. Calculate q.
0, 3
Suppose 13*g = 11*g - 8. Let k be 2 + -7 - g - -4. Factor -u**2 - 1 + 0*u**2 + 3*u + 4*u**3 - 2*u**2 - k*u**3.
(u - 1)**3
Suppose -3*v - 3*y - 38 = -17, 5*y = v - 53. Determine m, given that -v + 1/4*m**2 + 1/4*m = 0.
-4, 3
Let t(w) = 8*w**2 - w - 1. Let o be t(-1). Suppose -2*l + 20 = o*l. Suppose 77*f**2 - 156*f**2 + 76*f**l = 0. What is f?
0
Suppose -676/3 + 776/3*m**2 - 572/3*m + 4/3*m**5 + 568/3*m**3 - 100/3*m**4 = 0. What is m?
-1, 1, 13
Let c(d) be the third derivative of -d**5/270 + 133*d**4/108 - 640*d**3/27 + 709*d**2 - d + 2. Find w, given that c(w) = 0.
5, 128
Let n(h) be the second derivative of -h**4/12 - 571*h*