*o**2*(o + 9)*(3*o - 1)
Let b = -286/301 + 90/43. Factor 12/7*p**2 + 2/7*p**4 + 2/7 - 8/7*p**3 - b*p.
2*(p - 1)**4/7
Let h be (-221)/(-204) - (-10)/(-12). Suppose -h*w**2 + 0*w + 0 = 0. Calculate w.
0
Let x = 1237/4 - 307. Factor x*h - 15/4*h**2 + 3/2.
-3*(h - 1)*(5*h + 2)/4
Let v(l) be the first derivative of -l**6/540 - l**5/90 + l**4/27 - 15*l**2/2 + 20. Let r(c) be the second derivative of v(c). Factor r(s).
-2*s*(s - 1)*(s + 4)/9
Let y(f) = f**3 + 8*f**2 + 23*f + 290. Let w be y(-9). Factor 0 - 2/3*m**4 - 14/9*m**3 - 4/9*m**w + 0*m.
-2*m**2*(m + 2)*(3*m + 1)/9
Let y(a) = -a**3 + 2*a**2 + 6*a - 6. Let r be y(3). Suppose r*g - 1 - g**2 + 2 - 5 + g = 0. What is g?
2
Let i be (1 - 3) + (-104)/(-28). Let o be (4/10)/(238/255). Factor -i*w**3 + 12/7*w + 3/7*w**2 - o.
-3*(w - 1)*(w + 1)*(4*w - 1)/7
Let f(v) be the first derivative of 2/51*v**3 + 22 + 10/17*v**2 - 1/34*v**4 + 16/17*v. Factor f(m).
-2*(m - 4)*(m + 1)*(m + 2)/17
Let -136/5*b - 2312/5 - 2/5*b**2 = 0. What is b?
-34
Let s = 80 - 53. Let a be ((-4)/6)/(1 - 33/s). Factor -3/5*u**2 - 18/5*u**3 + 0 + 0*u - a*u**4.
-3*u**2*(u + 1)*(5*u + 1)/5
Let l(z) be the first derivative of -2*z**5/65 - 5*z**4/13 - 16*z**3/13 - 22*z**2/13 - 14*z/13 - 309. Factor l(c).
-2*(c + 1)**3*(c + 7)/13
Let h(f) be the second derivative of f**7/14 + f**6/10 - 27*f**5/20 - 5*f**4/4 + 8*f**3 + 18*f**2 + 6*f + 5. Suppose h(y) = 0. Calculate y.
-3, -1, 2
Let n be 1/((4/(-10))/((-11120)/50)). Let p = 2822/5 - n. Determine g so that -p*g**4 - 26/5*g**3 + 8/5*g + 24/5*g**2 + 0 = 0.
-1, -2/7, 0, 2/3
Let w(d) be the second derivative of -d**4 + d**3/2 + 9*d**2/2 - 2*d - 21. Factor w(u).
-3*(u - 1)*(4*u + 3)
Suppose 12*b - 14 = 5*b. Factor 2*d**2 - 2*d + 5*d**2 - 2 + 2*d**2 + b*d**3 - 7*d**2.
2*(d - 1)*(d + 1)**2
Determine j so that -6/7*j + 3/7*j**2 + 0 = 0.
0, 2
Find y, given that 2*y**2 - 14540 - 33*y - 59*y + 16990 - 48*y = 0.
35
Let h(l) be the third derivative of 21*l**2 + 0 - 1/2*l**3 + 9/16*l**4 + 0*l - 9/40*l**5. Factor h(t).
-3*(3*t - 2)*(3*t - 1)/2
Let w = 98 - 59. Suppose 33*j**2 + w*j**4 - 12*j**5 - 6*j + 5*j**3 - 62*j**3 + 3*j**5 = 0. What is j?
0, 1/3, 1, 2
Let r(n) be the second derivative of -1/10*n**3 - 1/10*n**4 - 3/100*n**5 + 0 + 0*n**2 - 14*n. Find j such that r(j) = 0.
-1, 0
Suppose -4*x + 21 = -2*x - 3*t, 4*x - 72 = -4*t. Factor -x*q + 0 + 9*q**2 + 6 + 0.
3*(q - 1)*(3*q - 2)
Let s(n) be the third derivative of n**7/1050 + 9*n**6/100 + 13*n**5/75 - 9*n**4/20 - 53*n**3/30 - 124*n**2. Suppose s(w) = 0. What is w?
-53, -1, 1
Let m(n) be the third derivative of n**9/10080 - n**7/840 + n**5/80 + 17*n**4/12 + 29*n**2. Let t(y) be the second derivative of m(y). Factor t(a).
3*(a - 1)**2*(a + 1)**2/2
Suppose -4*g - 2 = -10. Solve 4*o**4 - 44*o - 16 - 28*o**2 - 4*o**3 + o**g - 9*o**2 = 0 for o.
-1, 4
Let u(s) be the first derivative of -7*s**6/6 - 4*s**5 - 55*s**4/12 - 5*s**3/3 + 7*s + 8. Let q(p) be the first derivative of u(p). Factor q(a).
-5*a*(a + 1)**2*(7*a + 2)
Let x = 101/42 + -13/84. Factor -x*b**3 + 0 - 15/4*b**2 + 3/2*b.
-3*b*(b + 2)*(3*b - 1)/4
Factor 12*z**3 - 4668*z + 2180*z**2 + 432 - 467*z**2 + 2511*z.
3*(z - 1)*(z + 144)*(4*z - 1)
Let g = 1/37 - 64/999. Let h = g - -19/27. Factor 0 - 2/3*n**3 + 0*n + 0*n**2 + 0*n**4 + h*n**5.
2*n**3*(n - 1)*(n + 1)/3
Let l(f) be the third derivative of -21*f**2 + 1/39*f**4 + 0*f + 0 + 1/13*f**3 + 1/390*f**5. What is p in l(p) = 0?
-3, -1
Let g(k) be the second derivative of 1/40*k**5 - 1/8*k**4 + 1/6*k**3 + 0*k**2 + 0 - 10*k. Determine d, given that g(d) = 0.
0, 1, 2
Let o(p) = -9 + 3*p**2 + 10*p + 0*p**2 - 9*p**3 + 5*p. Let z(s) = -4 - 7*s + 5*s**3 + 9 - 2*s**2 - 1. Let m(x) = 4*o(x) + 9*z(x). Solve m(q) = 0.
-1/3, 0, 1
Let x be 1 + 8 + (-1 - (2 + -3)). Factor 0*h**2 - 6*h - 2*h**3 + 16*h**2 + 5*h**2 - 4*h**3 - x*h**4.
-3*h*(h - 1)*(h + 2)*(3*h - 1)
Let c be (2/(-30))/(6/63 + (-71)/672). Determine x so that 26/5*x**3 + c*x**4 - 26/5*x**2 - 32/5*x - 8/5 + 8/5*x**5 = 0.
-2, -1/2, 1
Let i be ((-1496)/280 - -5)/(1*3/(-10)). Find q such that -i - 2/7*q**2 + 10/7*q = 0.
1, 4
Suppose 0 = 6*g - g + k - 36, 5*g - 60 = 5*k. Suppose v = g*v - 28. Determine s so that s**3 - 1/4*s**v - 3/4*s**2 + 1 - s = 0.
-1, 1, 2
Let b(g) be the first derivative of 1/24*g**6 - 5/8*g**2 + 1/4*g**4 - 1/2*g - 1/6*g**3 + 1/5*g**5 + 13. Determine q, given that b(q) = 0.
-2, -1, 1
Let o(v) = -v**3 - 6*v**2 - 14. Let k be o(-6). Let i be 3 + k/49*(0 - -10). Determine a, given that 1/7 + 3/7*a**2 + i*a**3 + 3/7*a = 0.
-1
Let o(h) = -h**3. Let j(w) = 27*w**3 - 38*w**2 - 52*w - 8. Let l = -110 - -109. Let g(k) = l*j(k) + 6*o(k). Factor g(y).
-(y - 2)*(3*y + 2)*(11*y + 2)
Suppose -127 = -4*t - 111. Let l(d) be the first derivative of 1/16*d**t + 0*d**2 + 1/6*d**3 + 0*d - 1/20*d**5 - 2. Find s, given that l(s) = 0.
-1, 0, 2
Let d(i) be the third derivative of i**5/20 + 13*i**4/2 - 303*i**2. Determine a so that d(a) = 0.
-52, 0
Let q(y) be the third derivative of y**5/15 - 20*y**4/3 + 186*y**2. Suppose q(v) = 0. Calculate v.
0, 40
Let f(x) be the second derivative of x**7/28 + x**6 + 297*x**5/40 - 5*x**4/2 - 25*x**3 + 187*x + 1. Let f(m) = 0. Calculate m.
-10, -1, 0, 1
Let f(q) be the third derivative of -q**6/120 + q**5/60 - q**4/24 - 2*q**2. Let u(w) = 28*w**3 - 4*w**2 + 56*w + 16. Let x(l) = -24*f(l) - u(l). Factor x(c).
-4*(c + 1)*(c + 2)**2
Let y(j) be the second derivative of j**6/480 + j**5/80 - 3*j**4/32 - 25*j**3/6 - 23*j. Let a(q) be the second derivative of y(q). Factor a(m).
3*(m - 1)*(m + 3)/4
Let l(g) be the third derivative of -g**8/840 + 4*g**7/525 + g**6/10 + 2*g**5/15 - 29*g**4/60 - 8*g**3/5 - 13*g**2 - 3. Find r such that l(r) = 0.
-3, -1, 1, 8
Suppose -2*c + 14 = 4*h, 6*c - 21 = 4*c + 3*h. Let i = -9 + c. Factor 2/5*z**2 - 2/5 + i*z.
2*(z - 1)*(z + 1)/5
Let h be (-8)/36 + (-40)/(-18). Solve 2*v**h + 6*v + 3*v**2 + v - 2*v = 0.
-1, 0
Let x = -981/334 + 166051/53607. Let l = 2/321 + x. Find k, given that -1/3*k**2 + 1/2*k**4 - l - 1/3*k**3 + 1/2*k - 1/6*k**5 = 0.
-1, 1
Suppose -1/6*y + 0 - y**2 - 3/2*y**3 = 0. Calculate y.
-1/3, 0
Let h = -726/1411 - -72/83. Solve -8/17*z + 2/17*z**2 + h = 0.
1, 3
Let s = 2396 - 14375/6. Let -s + 1/6*r**2 + 0*r = 0. What is r?
-1, 1
Let s be ((-6)/(-11))/(-3)*2277/(-276). Let 3*f - 3*f**3 + 0 - 3/2*f**4 + s*f**2 = 0. Calculate f.
-2, -1, 0, 1
Let q be 4/(-2) - -12*6/30. Let f(c) be the first derivative of -4/5*c + q*c**2 - 1/15*c**3 - 3. Suppose f(p) = 0. Calculate p.
2
Let j be (-1 - -6)*2/5. What is y in 2*y**2 + 6 - j + 5*y + y = 0?
-2, -1
Let n(o) = 18*o**3 - 9*o**2. Let z(m) = -m**3 - 2*m. Let r(q) = n(q) + 3*z(q). Factor r(i).
3*i*(i - 1)*(5*i + 2)
Factor 1/3*j**2 + 40/3 + 22/3*j.
(j + 2)*(j + 20)/3
Let o(f) = -f - 5. Let l be o(-9). Let k be 16 + -2*(-2)/(-2). Factor g**3 + k*g**2 + g**3 + 4*g + 22*g + 18 + l*g.
2*(g + 1)*(g + 3)**2
Let d(r) = 38*r**2 - 32*r - 48. Let g(z) = 7*z**2. Let n(t) = d(t) - 6*g(t). Factor n(y).
-4*(y + 2)*(y + 6)
Let k = -38 - -44. Let k*v**3 + 3*v + 4 + 0*v - 8*v**3 + 3*v = 0. Calculate v.
-1, 2
Let v = -14 + 17. Let i(b) = b**3 + 2*b**2 - 3*b - 4. Let l be i(v). Let -42*p**2 + p + l*p + 48*p**4 - 10 + 4 - 12*p**3 - 21*p**5 = 0. Calculate p.
-1, 2/7, 1
Let a = -456/7 + 71143/1092. Let t(m) be the third derivative of -1/2184*m**8 + 0*m**3 + 0*m**5 + 1/390*m**6 - a*m**4 + 2*m**2 + 0*m**7 + 0*m + 0. Factor t(p).
-2*p*(p - 1)**2*(p + 1)**2/13
Let w be ((-8)/(-10))/(-2 + 892/445). Factor -89*i**3 + w*i**3 + i + 2 - 90*i**3 - 2*i**2.
-(i - 1)*(i + 1)*(i + 2)
Solve -21/4*n**5 - 6*n + 69/2*n**2 + 0 - 225/4*n**3 + 33*n**4 = 0.
0, 2/7, 1, 4
Let f(v) be the third derivative of -v**8/16 - 53*v**7/70 - 11*v**6/5 + 12*v**5/5 + 5*v**2 + 5. Factor f(b).
-3*b**2*(b + 4)**2*(7*b - 3)
Let b(f) = -2*f**2 - 22*f + 3. Let v be b(-11). Factor 8*k + 16*k**v + k**2 + 4*k**2 + 31*k**2.
4*k*(k + 2)*(4*k + 1)
Let g(y) be the first derivative of -y**4/4 + 2*y**3/3 - y**2/2 - 106. Factor g(s).
-s*(s - 1)**2
Suppose 0 = 6*n - 43 + 55. Let f be (-16)/104 - n/13. Let f*i - 3/2 + 3/2*i**2 = 0. Calculate i.
-1, 1
Let u(g) = -g**3 - 4*g**4 + 7*g**4 + 1 - g**2 - 2*g**4. Let a(o) = -9*o**5 - 26*o**4 - 11*o**3 + o**2 - 5. Let s(h) = a(h) + 5*u(h). Factor s(z).
-z**2*(z + 1)*(3*z + 2)**2
Let l = 45289/7 - 6469. Factor 1/7*r**2 + 5/7 - l*r.
(r - 5