*2*(v - 1)*(v + 6)
Let i = -94/2759 - 63/89. Let y = i - -123/124. Factor 0*g + 0*g**2 - y*g**5 - 1/4*g**4 + 0*g**3 + 0.
-g**4*(g + 1)/4
Let o = 83 + -83. Suppose 7*u = -o*u + 14. Factor 12*l**2 - 35 - 2*l**2 - 30*l - 4*l**u - l**2.
5*(l - 7)*(l + 1)
Factor 1104/7*i + 180/7*i**2 - 2960/7 + 4/7*i**3.
4*(i - 2)*(i + 10)*(i + 37)/7
Let x(f) be the second derivative of -f**6/150 - f**5/100 + f**4/30 - 13*f - 6. Factor x(s).
-s**2*(s - 1)*(s + 2)/5
Let u(m) be the third derivative of m**8/4032 + 11*m**7/168 + 121*m**6/16 + m**5/6 - m**4/8 + m**2 - 72. Let k(t) be the third derivative of u(t). Factor k(h).
5*(h + 33)**2
Suppose 329*u = -302*u + 521*u + 330. Suppose -2/13*k**u + 0 + 2*k**2 + 0*k = 0. What is k?
0, 13
Let m(r) be the second derivative of r**4/42 - 20*r**3/21 + 75*r**2/7 - 8*r + 68. Let m(c) = 0. Calculate c.
5, 15
What is m in 5 - 8*m**2 + 1 + 72*m**3 - 21*m**2 - 12 - 37*m = 0?
-3/8, -2/9, 1
Let u = -25 - -41. Suppose u = -3*d - 8. Let k(q) = -8*q**2 - 28*q - 8. Let v(p) = p + 1. Let l(n) = d*v(n) - k(n). Factor l(w).
4*w*(2*w + 5)
Let l(t) be the second derivative of 9/7*t**2 + 1/84*t**4 - 11/42*t**3 - 23 - 4*t. Suppose l(j) = 0. Calculate j.
2, 9
Suppose z + 3*d = 21, -5*z + 5*d + 58 + 47 = 0. Factor -20*o + 21*o**2 + z*o**2 - 5*o**3 - 67*o**2.
-5*o*(o + 1)*(o + 4)
Suppose 2 + 24/13*z - 2/13*z**2 = 0. What is z?
-1, 13
Find o such that -159*o**2 + 333*o**2 + 146*o - 166*o**2 + 170 = 0.
-17, -5/4
Factor -7093*y - 5*y**2 + 3468*y + 3185*y + 900.
-5*(y - 2)*(y + 90)
Factor -131 - 104 + 1249*x**2 - 55 - 30 + 322*x - 1251*x**2.
-2*(x - 160)*(x - 1)
Let y(i) = 86*i + 863. Let o be y(-10). Let l(f) be the second derivative of 0*f**2 + 1/15*f**5 + 5/18*f**4 + 0 + 12*f + 2/9*f**o. Factor l(m).
2*m*(m + 2)*(2*m + 1)/3
Determine b so that 46716*b - 4*b**5 - 132*b**4 - 888*b**3 + 72828 + 559*b**2 + 3625*b**2 + 3769*b**2 - 2057*b**2 = 0.
-17, -3, 7
What is q in 4398578/11 + 2/11*q**2 - 5932/11*q = 0?
1483
Let j be (30/6)/((-30)/(-4788)). Let k be (-4)/1 - j/(-189). What is s in 0 - k*s**2 + 2/9*s = 0?
0, 1
Factor -n**3 + 1478 - 21*n - 7*n + 2*n**3 + 17*n**2 - 1610 - 88*n.
(n - 6)*(n + 1)*(n + 22)
Let v(n) be the third derivative of 0 - 20*n**2 - 16/7*n**3 + 0*n + 1/280*n**6 + 4/7*n**4 - 1/14*n**5. Factor v(g).
3*(g - 4)**2*(g - 2)/7
Let p(u) be the third derivative of -7*u**5/90 - 71*u**4/180 - 2*u**3/45 - 20*u**2 - 24*u. Factor p(h).
-2*(h + 2)*(35*h + 1)/15
Suppose -59*b = -18*b. Let h = b - -2. Find x, given that 9/7*x**h + 3/7*x**3 + 0*x - 12/7 = 0.
-2, 1
Suppose 6*g - 2*g - 12 = 0. Factor c + 15*c - 8 + 18*c - 2*c**5 - 40*c**2 + 20*c**g - 4*c.
-2*(c - 1)**4*(c + 4)
Let q(k) = 175*k + 8*k**3 - 89*k - 6 - 94*k. Let z(i) = 7*i**3 - 8*i - 5. Let t(c) = -5*q(c) + 6*z(c). Factor t(d).
2*d*(d - 2)*(d + 2)
Let u = 56 + -49. Suppose 17*a - 27 = u. Let q**3 + q + q**a + 0*q**2 - 3*q**2 = 0. What is q?
0, 1
Find m, given that 2/11*m**2 - 2820/11 - 1406/11*m = 0.
-2, 705
Let v be 718 + -3 + -12*(-7)/14. Let p = -3601/5 + v. Let 0 + 12/5*n**2 + p*n**3 + 0*n = 0. Calculate n.
-3, 0
Let n = -447 - -455. Let m(o) be the third derivative of 0 - n*o**2 - 1/40*o**6 + 0*o - o**3 - 1/5*o**5 - 5/8*o**4. Factor m(i).
-3*(i + 1)**2*(i + 2)
Let m(a) = -11*a**2 - 220*a + 388. Let y(c) = -12*c**2 - 225*c + 386. Let n(i) = 7*m(i) - 6*y(i). Factor n(r).
-5*(r - 2)*(r + 40)
Suppose -4 = -2*r + 4. Let t be r + -2 + 3/6*0. Factor 12*h**t + 8*h + 5*h + 2 - 5*h + 6*h.
2*(h + 1)*(6*h + 1)
Suppose -4*r + 5*j + 408 - 367 = 0, -5*r - j = -15. Factor -1200/7*s + 8000/7 - 60/7*s**r - 7940/7*s**2 + 1/7*s**5 + 1199/7*s**3.
(s - 20)**3*(s - 1)*(s + 1)/7
Let l(f) be the second derivative of -f**8/20160 + f**7/504 - f**6/45 - 8*f**5/45 - 133*f**4/12 + 26*f. Let i(p) be the third derivative of l(p). Factor i(m).
-(m - 8)**2*(m + 1)/3
Let g(h) be the third derivative of -37/7*h**7 - 554/3*h**5 + 0*h - 135*h**3 - 2085/8*h**4 - 274*h**2 - 55/336*h**8 - 223/4*h**6 + 0. Solve g(m) = 0.
-9, -1, -2/11
Suppose -2*q - 36 = -42. Suppose 7*l + 40 = 4*r + q*l, 3*r + 4*l = 44. Factor 3 + 30*y - 36*y**2 + r*y + 13 + 22*y.
-4*(y - 2)*(9*y + 2)
Let o = -229 - -231. Let p be o/(-6)*(-2)/6. Suppose -2/9*i + 1/3 - p*i**2 = 0. Calculate i.
-3, 1
Let h be ((-4)/14)/(410/287) - (-1)/3. Solve 2/15*n**2 - 4/15 - h*n = 0 for n.
-1, 2
Let v(r) be the first derivative of 60 - r**2 - 4/11*r**3 - 12/11*r - 1/22*r**4. Factor v(i).
-2*(i + 1)*(i + 2)*(i + 3)/11
Let l be -7*(-24)/21 + -2. Let f be -1 + 3 + 2 + (-12)/l. Find k, given that 14/11*k - 16/11 + 2/11*k**f = 0.
-8, 1
Let d be (-88)/22*(-1 - 31). Suppose d = 35*p - 12. Factor 0 + 0*v**2 - 2/3*v**3 + 0*v**p + 1/3*v**5 + 1/3*v.
v*(v - 1)**2*(v + 1)**2/3
Suppose 0 = 33*y - 7*y - 113*y + 174. Let 1/2 - 23/4*v**y - 21/4*v = 0. Calculate v.
-1, 2/23
Let g(i) be the third derivative of -i**6/24 + i**5/6 + 5*i**4/8 - 1610*i**2 - 2*i. Factor g(l).
-5*l*(l - 3)*(l + 1)
Let b = -731 - -741. Factor 24*w - 10*w + 12 - 2*w**2 + b*w + 17*w**2 + 3*w**3.
3*(w + 1)*(w + 2)**2
Factor -1325*o**3 + 4*o**4 + 209*o**2 - 53*o**2 + 1389*o**3.
4*o**2*(o + 3)*(o + 13)
Let o(f) be the third derivative of f**6/320 - 153*f**5/160 - 77*f**4/32 - 1897*f**2 + f. Determine y so that o(y) = 0.
-1, 0, 154
Let v = 644 + -640. Determine y, given that -262*y**2 + 12 + 60 - 7*y**4 - 76*y**3 + y**v - 120*y = 0.
-6, -1, 1/3
Let o(l) be the second derivative of -l**5/25 - 43*l**4/15 + 16*l**3 + 6120*l**2 - 952*l. Factor o(m).
-4*(m - 17)*(m + 30)**2/5
Let u(g) be the first derivative of g**4 - 10*g**2 + 12*g + 4/3*g**3 - 25. Find v such that u(v) = 0.
-3, 1
Let d(b) be the first derivative of 2*b**3/33 + 4606*b**2/11 + 10607618*b/11 + 3447. Factor d(y).
2*(y + 2303)**2/11
Let o(c) be the first derivative of c**6/2 + 24*c**5/5 - 3*c**4/4 - 68*c**3 - 126*c**2 - 699. Factor o(k).
3*k*(k - 3)*(k + 2)**2*(k + 7)
Let t(h) be the third derivative of 1/60*h**5 + 7/6*h**3 + 0 + 54*h**2 + 0*h + 1/3*h**4. Factor t(s).
(s + 1)*(s + 7)
Let g(n) be the third derivative of 41*n**2 + 1/2352*n**8 + 0*n**3 + 0 - 1/420*n**5 + 0*n + 0*n**4 - 1/840*n**6 + 1/1470*n**7. Suppose g(x) = 0. What is x?
-1, 0, 1
Let c(p) be the first derivative of 4*p**5/5 + 17*p**4 + 68*p**3 - 314*p**2 + 352*p + 908. Factor c(y).
4*(y - 1)**2*(y + 8)*(y + 11)
Let j(g) = g**2 - 5*g + 5. Let w be j(-4). Let z = -39 + w. Find n such that 5*n**2 + 3*n**2 + 7 - 9*n**2 - z*n - 8 = 0.
-1
Let o be (-37504)/(-56064)*(-3)/(-2). Let l = o - -18/73. Factor -5 + 5/2*t**3 + 15/4*t**2 - l*t**4 - 5*t.
-5*(t - 2)**2*(t + 1)**2/4
Let l be ((-77)/14 - -3)*(-22)/5. Suppose -4*a - 1414 = -l*a. Solve -a*r**3 + 193*r**3 - 12*r**2 + 11*r + 12*r**4 - 2*r = 0 for r.
-1, 0, 3/4, 1
Let a(g) be the third derivative of g**6/160 + 201*g**5/80 - 84*g**2. Solve a(x) = 0.
-201, 0
Suppose 4*h + 4*a + 8 = 0, 2*h + 3*h = 3*a + 30. Let o(m) = 25*m**2 + 65*m + 30. Let d(f) = -300*f**2 - 780*f - 360. Let n(k) = h*d(k) + 35*o(k). Factor n(r).
-5*(r + 2)*(5*r + 3)
Let m(d) = -d**3 - 16*d**2 + 282*d + 4457. Let q be m(-15). Factor 1/5*g**3 - 38/5*g - 37/5*g**q + 0.
g*(g - 38)*(g + 1)/5
Let t(r) be the third derivative of r**6/60 - r**5/3 + 17*r**4/12 - 8*r**3/3 + 7*r**2 - 2*r. Solve t(m) = 0.
1, 8
Factor 111/2*k**2 + 30*k - 50 + 17*k**3 + 3/2*k**4.
(k + 2)*(k + 5)**2*(3*k - 2)/2
Let s(r) be the third derivative of 1/112*r**8 - 94*r**2 + 3/5*r**6 + 0*r**3 + 0 - 8/5*r**5 + 0*r - 4/35*r**7 + 2*r**4. Let s(p) = 0. What is p?
0, 2
Let d = 94 + -83. Suppose 5*n = 4*s + 3 - d, -5*s + 3*n = -10. Factor 0 + g - 5*g + g**s + 4.
(g - 2)**2
Let a(u) be the first derivative of -u**5/180 + 13*u**4/72 - 11*u**3/9 - 4*u**2 - 11*u + 31. Let b(n) be the second derivative of a(n). Factor b(z).
-(z - 11)*(z - 2)/3
Let j(g) be the first derivative of -10*g**6/33 - 1758*g**5/55 - 2495*g**4/22 - 466*g**3/3 - 1107*g**2/11 - 340*g/11 - 1324. Find n such that j(n) = 0.
-85, -1, -1/2, -2/5
Let u = 83 + 29. Factor -25*f**3 - 43*f**3 - 112*f + 9 - 25 + 84*f**2 + u*f**2.
-4*(f - 2)*(f - 1)*(17*f + 2)
Let r(a) be the third derivative of a**6/720 + a**5/40 - 7*a**4/48 - 5*a**3 - 15*a**2. Let l(o) be the first derivative of r(o). Solve l(n) = 0 for n.
-7, 1
Factor -91*v**2 + 185517*v**4 - 63*v**2 + 2178*v - 26*v**3 - 185515*v**4.
2*v*(v - 11)**2*(v + 9)
Let d = 690767/5871086 - 3/345358. Find w such that -6/17*w**