 (-56582)/17955*5*2*-3. Let n = -850/9 + x. Factor n*s**5 - 10/21*s**4 - 2/7*s**2 + 0 + 0*s + 2/3*s**3.
2*s**2*(s - 3)*(s - 1)**2/21
Let j(b) be the first derivative of 728/5*b**5 - 832/3*b**3 + 64*b**2 + 0*b + 49/3*b**6 + 143 + 282*b**4. Solve j(l) = 0.
-4, 0, 2/7
Let m(t) = 2*t**3 - 4*t**2 + 2*t + 3. Let k be m(3). Let h = k + -27. Factor -20*a - 4*a**2 + 6*a**2 + 15 + 3*a**2 + h*a**2.
5*(a - 3)*(a - 1)
Let h(j) = 2*j**2 + 29*j - 100. Let l be h(3). Solve -7*i**4 - 12*i**3 - 24*i**2 + 12*i**l + 64*i**3 - 25*i**4 - 8*i**5 = 0.
0, 1, 6
Let h be 0 - ((-703)/988 + 24/52). Let v(k) be the first derivative of -27 + k**2 - 3/4*k**3 + h*k**5 - 1/2*k**4 + k. Solve v(w) = 0.
-1, -2/5, 1, 2
Let a = -7554 - -7558. Let n(s) be the third derivative of 1/240*s**5 + 0 - 22*s**2 + 0*s + 1/96*s**a - 1/12*s**3. Factor n(g).
(g - 1)*(g + 2)/4
Let w(b) = -b**5 - b**4 + 2*b**3 + 6*b**2 + 3*b. Let k(a) = -3*a**2 + 2*a**2 - 7*a + 3*a - 3*a**3 - 5*a**2 + a**5. Let f(m) = -3*k(m) - 4*w(m). Solve f(t) = 0.
-3, -2, 0, 1
Let r be 4*-2 + (-19 - -28). Let w be r/((-21)/140*-5). Factor 0*x + w*x**3 - 2/3*x**2 - 2/3*x**4 + 0.
-2*x**2*(x - 1)**2/3
Suppose -19 = -9*i - 9064. Let q = -5013/5 - i. Find o, given that q*o + 3/5*o**2 + 12/5 = 0.
-2
Let l be 17*6 + 3*(-8)/12. Suppose -3*v + 20 + l = 0. Factor -r - 41*r**2 + 2*r - 3*r + v*r**2.
-r*(r + 2)
Factor 0*g**3 + 0 - 2/13*g**5 + 0*g**2 + 2/13*g**4 + 0*g.
-2*g**4*(g - 1)/13
Let m(x) be the second derivative of 185*x + 0*x**3 + 1/24*x**4 + 1/60*x**6 + 0*x**2 + 0 + 1/20*x**5. Factor m(s).
s**2*(s + 1)**2/2
Suppose 0 = m - 8*m + 560. Let t = 87 - m. Factor -24*o**2 - 3*o**5 + 21*o - 6 - o**4 + 0*o**4 + t*o**4 + 6*o**3 + 0*o**3.
-3*(o - 1)**4*(o + 2)
Let i be -5 + -87*20/(-195). Let g = i - 329/117. What is y in -4/9*y + 0 - 10/9*y**4 + 4/9*y**3 + g*y**2 = 0?
-1, 0, 2/5, 1
Let b(r) be the third derivative of -1/240*r**6 + 37/12*r**3 + 7/24*r**5 + 0*r + 109*r**2 + 0 + 73/48*r**4. Let b(u) = 0. Calculate u.
-1, 37
Determine i, given that 3*i**2 + 512 + 531*i + 452*i + 205*i - 1703 = 0.
-397, 1
Let n(u) = 5*u**2 - u**2 - 12 + 2*u**2 - u**3 + 2*u**3 - 9*u. Let j be n(-6). Factor 24*r - j*r + 27*r + 2*r**2 + r**2.
3*r*(r + 3)
Let o(f) be the second derivative of f**5/4 - 3535*f**4/12 - 7100*f**3/3 - 7110*f**2 + 14*f + 21. Determine i, given that o(i) = 0.
-2, 711
Let y be -3 + 44/15 + 10/25. Let j(b) = -78*b + 393. Let l be j(5). Factor 0 + 1/2*u**2 + y*u + 1/6*u**l.
u*(u + 1)*(u + 2)/6
Let v = -157873/69 - -52632/23. Factor 4/3*z**2 + v*z**3 + 0 + 4/3*z.
z*(z + 2)**2/3
Factor -160 - 2*q**3 - 103 - 5*q**2 - 3*q**2 + 88*q - 25 + 480.
-2*(q - 6)*(q + 2)*(q + 8)
Let b(k) be the second derivative of k**5/30 + 65*k**4/18 - 133*k**3/9 + 67*k**2/3 + 922*k. Let b(p) = 0. What is p?
-67, 1
Let b(h) be the third derivative of h**7/175 - h**6/150 + 5*h**2 - 252. Find v such that b(v) = 0.
0, 2/3
Let r(h) = 18*h**2 + 560*h + 2880. Let w(q) = -14*q**2 - 562*q - 2884. Let p(u) = -4*r(u) - 5*w(u). Factor p(v).
-2*(v - 290)*(v + 5)
Let a(u) = -u**2 + 14*u. Let h(p) = -16*p**2 + 104*p + 900. Let g(b) = -12*a(b) + h(b). Factor g(f).
-4*(f - 9)*(f + 25)
Let b = 1088853/10 + -108885. Solve -b + 1/10*a**2 - 1/5*a = 0.
-1, 3
Let d(q) = -q**3 - 10*q**2 - 9*q. Let b be d(-9). Suppose b = -4*s + 390 + 82. Suppose s*z - 118*z + 3*z**3 + 3*z**2 = 0. What is z?
-1, 0
Let z = 532/17 - 3690/119. Suppose 4/21 + z*h - 2/7*h**3 - 2/21*h**2 - 2/21*h**4 = 0. What is h?
-2, -1, 1
Find n such that -2043/2 + 510*n**2 - 2049/4*n + 3/4*n**3 = 0.
-681, -1, 2
Let a(i) be the second derivative of -i**4/32 - 135*i**3/16 - 399*i**2/8 - 4*i + 169. Factor a(n).
-3*(n + 2)*(n + 133)/8
Let p(v) be the third derivative of 1/420*v**7 + 5*v - 1/3360*v**8 - 1/200*v**6 - 1/300*v**5 + 7/240*v**4 - 1/20*v**3 + 0 + 6*v**2. Find u, given that p(u) = 0.
-1, 1, 3
Suppose 0 = -9*b - 6*b + 45. Let k be 2 + (0*(-4)/12)/2. Factor 0 + 6/7*g**k + 0*g - 2/7*g**b.
-2*g**2*(g - 3)/7
Let k(g) be the third derivative of g**11/332640 - g**9/60480 + 32*g**5/15 - 79*g**2. Let x(n) be the third derivative of k(n). Factor x(z).
z**3*(z - 1)*(z + 1)
Suppose -112 + 32 = -4*t + 2*s, 4*s - 60 = -3*t. Let j = -18 + t. Suppose -j*p**2 + p**3 + p**2 - 7*p**3 - 4 + 2*p**4 + 6*p + 3*p**2 = 0. What is p?
-1, 1, 2
Let p be (3 - -1) + (4/(-12))/(36/405). Let u(h) be the second derivative of 0*h**3 - 6*h + 0 + 3/2*h**2 - p*h**4. Factor u(t).
-3*(t - 1)*(t + 1)
Let b(i) be the third derivative of -i**8/168 - 37*i**7/525 + 23*i**6/100 - 9*i**5/50 + 141*i**2 + 3*i. Let b(c) = 0. Calculate c.
-9, 0, 3/5, 1
Suppose -3*o - 13 = -5*t, -4*t + 4*o = -11 - 1. Suppose 5*m - 1 = t*a, -2*a = -0*m - 4*m. Factor 0 - 2/7*h**3 - 4/7*h**a - 2/7*h.
-2*h*(h + 1)**2/7
Suppose 0*p - 34 = 3*l + 2*p, 4*l = -p - 52. Let t be (-10)/l - (-34)/119. Let 1 + 1 - 3 - t + 2*r**2 = 0. Calculate r.
-1, 1
Suppose 3*c + x - 12 = 0, -2*c - 4*x - 18 = -46. Let q(m) be the first derivative of -3*m**3 - 17 + 6*m + 3/2*m**c. Factor q(j).
-3*(j - 1)*(3*j + 2)
Factor -49/10*f - 49/10 + 1/10*f**3 + 1/10*f**2.
(f - 7)*(f + 1)*(f + 7)/10
Let t = 35 + -26. Suppose -t*u + 5*u + 40 = 0. Solve -20*w - w**2 + u*w + 11*w = 0 for w.
0, 1
Let a(i) be the first derivative of 2*i**6/21 - i**5 + 83*i**4/28 - 37*i**3/21 - 15*i**2/14 - 620. Solve a(j) = 0.
-1/4, 0, 1, 3, 5
Let q(h) be the third derivative of h**6/1140 + 2*h**5/15 + 283*h**4/228 - 120*h**3/19 - 2*h**2 - 48*h - 2. Suppose q(c) = 0. Calculate c.
-72, -5, 1
Let i(r) = -r**2 - 4*r + 11. Let v(w) = 35 - 54 + 0*w - 6*w + 39 - 3*w**2. Let j(p) = 15*i(p) - 6*v(p). Factor j(s).
3*(s - 5)*(s - 3)
Let h be (-1 + 4)/((-186)/(-868)). Let v(g) = -g**3 + 14*g**2. Let m be v(h). Determine a, given that 4*a**4 + 32/5*a**3 - 8/5*a + 4/5*a**2 + m = 0.
-1, 0, 2/5
Suppose -657 + 1341 = 6*p + 666. Factor -2/9*y**4 + 0*y - 2/9*y**5 + 2/9*y**2 + 2/9*y**p + 0.
-2*y**2*(y - 1)*(y + 1)**2/9
Let f(y) be the first derivative of 13/6*y**3 - 51 + 13/4*y**2 - 5*y + 1/4*y**4. Factor f(z).
(z + 2)*(z + 5)*(2*z - 1)/2
Suppose 4*a - 10 = 2*f, 5*a = f + 140 - 123. Let q(r) be the first derivative of -2/7*r**f + 9/14*r**2 + 0*r - 27. What is j in q(j) = 0?
0, 3/2
Let x(h) = 8*h**2 + 28*h - 53. Let j(z) = 44 - 3*z - 17 - 5*z**2 - 9*z - 2*z. Let d(v) = 10*j(v) + 6*x(v). Factor d(q).
-2*(q - 12)*(q - 2)
Find j such that -73/4*j**2 - 1/8*j**5 - 7/4*j**4 - 7 - 37/2*j - 67/8*j**3 = 0.
-7, -2, -1
Let t = -106/271 + 1555/1897. Factor t*w**5 + 0 - 183/7*w**4 + 2880/7*w**3 - 2700/7*w**2 + 0*w.
3*w**2*(w - 30)**2*(w - 1)/7
Factor -38/9*y**2 + 0 + 25/9*y**3 + 1/9*y**4 - 104/3*y.
y*(y - 4)*(y + 3)*(y + 26)/9
Suppose 63*q - 65*q - 152 = 0. Let g be 236/q - -3 - (-16)/152. Suppose -2/9*p**3 + 4/9*p + g - 2/9*p**2 = 0. What is p?
-2, 0, 1
Let s(q) be the second derivative of q**7/525 + 3*q**6/100 + 33*q**2/2 - 2*q - 2. Let w(a) be the first derivative of s(a). Determine p so that w(p) = 0.
-9, 0
Suppose -5*k**5 - 27862 - 4*k**4 + 28*k**4 - 3*k**5 + 10*k**2 - 318*k**2 + 27822 + 198*k + 134*k**3 = 0. What is k?
-4, 1/2, 1, 5
Let i(d) = 2*d**3 - 15*d**2 - 27*d + 2. Let z be i(9). Let o be z*(-3)/(2*-6)*6. Factor 0 - 12/5*x**2 + 18/5*x + 2/5*x**o.
2*x*(x - 3)**2/5
Let d(o) = -o**2 + 2*o + 39. Let m(b) = 3*b**2 - 6*b - 119. Suppose 3*q + 15 = 4*i, -11*i = -12*i + 3*q - 3. Let h(j) = i*m(j) + 21*d(j). Factor h(y).
-3*(y - 7)*(y + 5)
Let z be ((-417)/(-1529))/(63/42). What is a in -z*a**2 - 72/11 + 24/11*a = 0?
6
Let j be (4/6)/((-3)/(-18)). Suppose 40 = -w + 42. Suppose -z - 1 - z**2 + 4 - 5*z + j*z**w = 0. Calculate z.
1
Let w(b) be the third derivative of -17*b**7/840 - 7*b**6/96 - b**5/120 + 2668*b**2. Factor w(p).
-p**2*(p + 2)*(17*p + 1)/4
Suppose 0 = v - 4*i - 14, 4*v - 11 = 2*i - i. Factor -6*f - 21*f**3 - 12*f - 3*f**v - 20*f**3 + 44*f**3.
3*f*(f - 3)*(f + 2)
Let h(k) = -22*k**2 + 2007*k - 28. Let i(s) = 12*s**2 - 1004*s + 16. Let q(m) = 4*h(m) + 7*i(m). Factor q(g).
-4*g*(g - 250)
Factor -88*g**2 + 39*g**2 + 56*g + 324*g + 54*g**2.
5*g*(g + 76)
Suppose -33 = -4*d - 5*t, 31 = -5*t + 56. Let s(q) = -2*q**3 - 6*q**2 + 28*q - 10. Let p(i) = -i. Let x(y) = d*s(y) + 20*p(y). Factor x(a).
-4*(a - 1)**2*(a + 5)
Let b(j) be the second derivative of 2/25*j**5 + 0*j**2 + 2/15*j**3 + 3 + 1/6*j**4 + 4*j + 1/75*j**6. Solve b(p) = 0.
-2, -1, 0
Factor -155033 + 11*t**3 + 112