7*r**3 + 183*r**2 - 339*r - 492. Let k(i) = -i**4 + i**3 + 2*i - 1. Let c(p) = -j(p) + 6*k(p). Factor c(q).
-3*(q - 2)*(q + 1)*(q + 9)**2
Let r(c) = 2*c + 25. Let t be r(-5). Let q = t + -10. Suppose -2*n**2 - 6*n**4 - n**5 + n**5 - 8*n**3 + 8*n**q + 8*n**4 = 0. Calculate n.
-1, -1/4, 0, 1
Let m(y) be the second derivative of 5*y**4/36 - 415*y**3/18 + 1330*y**2/3 - 16*y - 170. Factor m(a).
5*(a - 76)*(a - 7)/3
Factor 0 - 6*a + 14/9*a**3 - 8/3*a**2.
2*a*(a - 3)*(7*a + 9)/9
Let j(z) be the third derivative of -13*z**6/180 - 19*z**5/90 - z**4/6 + 44*z**2 - 6*z - 1. Factor j(r).
-2*r*(r + 1)*(13*r + 6)/3
Suppose -65*h - 27823 - 15467 = 0. Let u = -664 - h. Suppose 1/6*y - 1/3 + 1/6*y**u = 0. Calculate y.
-2, 1
Solve -1944*j**2 + 12*j + 2*j**3 - 108*j - 256 + 0*j**3 + 2*j**3 + 1968*j**2 = 0.
-8, -2, 4
Let g(i) be the first derivative of -i**6/60 + 37*i**5/30 - 30*i**4 + 108*i**3 - 39*i**2/2 - 2*i + 10. Let f(v) be the second derivative of g(v). Factor f(b).
-2*(b - 18)**2*(b - 1)
Let p(a) be the first derivative of -2*a**6/15 - 56*a**5/25 + 18*a**4/5 + 176*a**3/15 - 34*a**2/5 - 24*a + 394. What is s in p(s) = 0?
-15, -1, 1, 2
Let m be 4 - (3 + -5 - 34). Suppose -32*j = -m*j + 16. Suppose -6/7*z + 0 + 3/7*z**j = 0. Calculate z.
0, 2
Let k be (-4 + 35/10)*-27*152. Let f = -10258/5 + k. Let -6/5*o**2 + 18/5*o - 2 - f*o**3 = 0. Calculate o.
-5, 1
Let z be ((-88)/(-132))/((-14)/(-72)). Let b = -12564/7 - -1797. Suppose 12/7 - b*s**4 + 3*s**3 + 3/7*s**2 - z*s + 3/7*s**5 = 0. What is s?
-1, 1, 2
Let t = 1419/2240 - 15/448. Let l be (-2 - 4) + 4 - 33/(-15). Find r such that 2*r - 4/5 + 9/10*r**5 + l*r**2 - 29/10*r**3 + t*r**4 = 0.
-2, -1, 2/3, 1
Let b be 2/(-30)*(189 + -192). What is f in -b - 4/5*f**2 + f = 0?
1/4, 1
Let c(v) be the first derivative of v**3/2 - 360*v**2 + 86400*v + 790. Factor c(l).
3*(l - 240)**2/2
Let x(p) = -2*p**2 - 45*p + 40. Suppose -4*y + z + 47 + 13 = 0, 0 = -3*y + 4*z + 58. Let s(o) = o. Let l(t) = y*s(t) + 2*x(t). Factor l(r).
-4*(r - 1)*(r + 20)
Let y(s) be the second derivative of s**7/189 - s**6/27 - 4*s**5/15 - 2*s**4/27 + 32*s**3/27 - 1204*s + 1. Find g such that y(g) = 0.
-2, 0, 1, 8
Let v(m) be the second derivative of -36/35*m**6 - 32/7*m**3 - 176/21*m**4 - 2/21*m**7 + 64/7*m**2 + 177*m - 152/35*m**5 + 0. Find s such that v(s) = 0.
-2, 2/7
Suppose -804 = -57*n + 45*n. Factor -283*s**4 - 1591*s**2 - 3949*s**3 - 2*s**5 + n*s**4 + 13471*s**2 + 0*s**5 - 1663*s**3 - 6050*s.
-2*s*(s - 1)**2*(s + 55)**2
Let u(m) be the second derivative of -m**5/30 + 8*m**4/9 - 43*m**3/9 - 20*m**2 + 3278*m. What is i in u(i) = 0?
-1, 5, 12
Suppose 17*h - 255 = -34*h. Suppose 2*r = 3*t + 12, h*t = -2*r - 3 - 17. Factor 2*w**4 + 0*w + 30/7*w**3 + 18/7*w**2 + r + 2/7*w**5.
2*w**2*(w + 1)*(w + 3)**2/7
Let g(r) = 19*r**3. Let v(x) = 20*x**3 - 85*x**2 + 163*x + 249. Let i(w) = g(w) - v(w). Factor i(o).
-(o - 83)*(o - 3)*(o + 1)
Let k be (4008/(-14028))/(1/(-1050)). Factor 6*w**3 + 18/5*w**4 + k*w - 2/5*w**5 + 0 - 130*w**2.
-2*w*(w - 5)**3*(w + 6)/5
Find r such that -308 + 190 + 48*r**3 + 150 + 30*r**4 - 192*r - 112*r**2 - 4*r**4 = 0.
-2, 2/13, 2
Let q(h) = 15*h**3 - h - 1. Let n(s) = -103*s**3 - 90*s**2 + 1333*s - 6351. Let z(o) = n(o) + 7*q(o). Find d such that z(d) = 0.
11, 17
Find u such that -104/5*u**4 + 18962/5*u - 12032/5*u**2 + 1836/5*u**3 + 2/5*u**5 - 8664/5 = 0.
1, 12, 19
Let b(u) = -2*u**3 + 33*u**2 - 70*u - 12. Let w(x) = -3*x**3 + 37*x**2 - 70*x - 8. Let s(v) = 2*b(v) - 3*w(v). Suppose s(y) = 0. What is y?
0, 2, 7
Let h = 12803/1892 - 8/473. Let d = h - 157/28. Factor 4/7*m**2 + 8/7*m**3 + 2/7*m**4 - 6/7 - d*m.
2*(m - 1)*(m + 1)**2*(m + 3)/7
Let o = 179477/26922 - -1/8974. Find k, given that -80/3*k**2 + 125/3*k**4 + 0 - o*k - 25/3*k**3 = 0.
-2/5, 0, 1
Let j(a) be the second derivative of 3*a**5/20 + 39*a**4/2 + 150*a**3 + 444*a**2 + 2031*a. Let j(z) = 0. Calculate z.
-74, -2
Let y be -3 + 2159/561 + (-2)/11. Let h(k) be the first derivative of 16 - y*k**3 - 7/4*k**4 + 8*k + 14*k**2. Factor h(z).
-(z - 2)*(z + 2)*(7*z + 2)
Let z(c) be the first derivative of -c**4/36 - c**3/6 - c**2/3 - 64*c + 45. Let v(l) be the first derivative of z(l). Let v(b) = 0. Calculate b.
-2, -1
Let k(i) be the third derivative of -i**9/12096 - 5*i**8/4032 - 7*i**5/15 - 12*i**2 - i. Let p(v) be the third derivative of k(v). Factor p(c).
-5*c**2*(c + 5)
Let q(c) = -c**4 - 35*c**3 - c**2 + c + 1. Let m(z) = -7*z**4 + 494*z**3 + 52*z**2 - 392*z - 42. Let b(y) = 5*m(y) + 15*q(y). Solve b(o) = 0 for o.
-1, -1/10, 1, 39
Let 40*k**2 + 31*k - 131*k - 85 - 51*k**2 - 4*k**2 = 0. What is k?
-17/3, -1
Let j be ((-9)/(-1) - (-2)/(14/(-35)))*76/152. Determine c so that c**3 - 12/5*c + 8/5*c**j + 0 - 1/5*c**4 = 0.
-2, 0, 1, 6
Let h(m) be the third derivative of -46*m**2 + 2/3*m**3 - m - 1/30*m**6 - 1/15*m**5 + 1/6*m**4 + 0. Factor h(z).
-4*(z - 1)*(z + 1)**2
Let v(o) = 6*o**4 - 14*o**3 - 14*o**2 + 6*o. Let i(g) = g**2 - 4*g**3 - g**4 - 4*g + 5*g**3 + 3*g. Let t = 1 - 0. Let r(l) = t*v(l) + 8*i(l). Factor r(x).
-2*x*(x + 1)**3
Let u = 244 + -242. Factor -9*z + 19*z + z**u - 6*z**2.
-5*z*(z - 2)
Let s = -87004 + 435021/5. Factor -s*o**2 - 7/5*o - 6/5.
-(o + 1)*(o + 6)/5
Let s be ((-3)/(-6))/(27/(-14922)). Let y = s + 277. Factor 2*f**3 + 2/3*f - 2*f**2 - y*f**4 + 0.
-2*f*(f - 1)**3/3
Find w, given that 432/7*w**2 - 870/7 + 3/7*w**3 - 63*w = 0.
-145, -1, 2
Let z(w) = -w**3 + 4*w**2 + 14*w - 9. Let p be z(6). Suppose 3*k = 7*k + 2*k. Solve -3/4*c**2 + 0*c**p + 1/4*c**4 + k + 1/2*c = 0 for c.
-2, 0, 1
Let g = -55150 + 110301/2. Factor -g*x**3 + 1/2*x + 1/2*x**2 - 1/2.
-(x - 1)**2*(x + 1)/2
Let l(p) be the second derivative of 3*p**5/160 + 3*p**4/8 - 43*p**3/16 + 45*p**2/8 + 968*p + 3. Factor l(n).
3*(n - 2)*(n - 1)*(n + 15)/8
Let a(t) be the first derivative of -5*t**4/4 + 40*t**3/3 + 45*t**2/2 + 413. Let a(f) = 0. Calculate f.
-1, 0, 9
Factor -1/4*b**2 + 53/2 - 51/4*b.
-(b - 2)*(b + 53)/4
Let a(f) be the third derivative of 0*f + 5/6*f**4 + 1/3*f**5 + 0 + 59*f**2 + 0*f**3 - 1/24*f**6 - 1/42*f**7. Let a(c) = 0. Calculate c.
-2, -1, 0, 2
Suppose -5*g - 30*g = -175. Let q(j) be the third derivative of -13*j**2 - 1/60*j**6 + 0*j + 1/30*j**g - 1/3*j**3 + 0 + 1/12*j**4. Factor q(a).
-2*(a - 1)**2*(a + 1)
Let j be 0 + -8 - 108/54. Let p(w) = -2*w**4 - 3*w**3 + 3 - 2*w**3 - 3*w**4. Let v(f) = 15*f**4 + 15*f**3 - 10. Let x(m) = j*p(m) - 3*v(m). Factor x(s).
5*s**3*(s + 1)
Let v(d) = -d**4 + d**3 + d**2 + 1. Let x(b) = -10*b**4 - 10*b**3 + 5*b**2 + 20*b + 5. Let n = 701 + -706. Let p(j) = n*v(j) + x(j). Factor p(c).
-5*c*(c - 1)*(c + 2)**2
Factor 744/5*x - 1504/5 + 4/5*x**2.
4*(x - 2)*(x + 188)/5
Suppose 0 = 5*r - 2*b - 34 - 13, 4*b = -3*r + 49. Suppose -r = -5*f + 4. Factor 7*x**2 - 4*x + x**3 - 5*x**f + 2*x**3 - x**2.
-2*x*(x - 2)*(x - 1)
Let x(a) be the second derivative of a**6/150 - 16*a**5/25 + 81*a**4/20 - 6*a**3 + 488*a. Suppose x(p) = 0. What is p?
0, 1, 3, 60
Let f(b) = -224*b - 3353. Let k be f(-15). Factor k + 13/2*p - 1/2*p**2.
-(p - 14)*(p + 1)/2
Let h(j) = 3*j**2 - 151*j - 8598. Let m be h(-34). Let -14/15*t**3 + 14/15*t + 4/3 - 2/15*t**m - 6/5*t**2 = 0. What is t?
-5, -2, -1, 1
Let o(c) = 2*c**3 + 28*c**2 - 7*c - 11. Let q be o(-14). Let k = q - 53. Solve -4*h**2 - 2 - 10*h**4 - 32*h**2 - k*h**3 + 2*h**3 - 16*h = 0 for h.
-1, -1/5
Let y(z) = -635 + 636 - 10*z**4 + 9*z**4. Let c(m) = 8*m**3 + 4*m**2 - 8*m - 4. Suppose 4 = -4*r - 0*r. Let p(k) = r*c(k) - 4*y(k). What is x in p(x) = 0?
-1, 0, 1, 2
Let p(i) = -6*i + 4. Let j be p(-1). Suppose -2*b - x = -8, -4*x = -b - x - j. What is y in 0*y**b + 1/4*y - 1/4*y**3 + 0 = 0?
-1, 0, 1
Let r be ((8904/(-91))/12 - -8) + (-170)/(-936). Let s(j) be the second derivative of -2/3*j**2 + r*j**4 - 25*j + 0 + 0*j**3. Factor s(t).
(t - 2)*(t + 2)/3
Factor 0 + 0*f**4 - 15/2*f**3 + 5/2*f**5 + 0*f - 5*f**2.
5*f**2*(f - 2)*(f + 1)**2/2
Let d be (-7 + (-51)/(-6))*-804. Let g = d - -2419/2. Factor 0 + 9/2*c**2 - g*c**3 - c.
-c*(c - 1)*(7*c - 2)/2
Suppose -480*t**2 - 535*t**2 + 2*t**5 + 2*t**3 + 1153*t**2 - 69 - t - 69*t**4 - 3*t**5 = 0. What is t?
-69, -1, 1
Let r(x) = -x - 1. Let k(c) be the third derivative of 0*c**4 - 23*c**2 - 1/20*c**5 + 1/2*c**3 + 0*c + 0. Let b(s) = -3*k(s) - 15*r(s). Factor b(o).
3*(o + 1)*(3*o + 2)
Let k(x) be the t