ctor -1/5*s**2 - 11/5*s + 26/5.
-(s - 2)*(s + 13)/5
Let s = -771691 + 3858459/5. Find g, given that -s*g**2 - 46/5 + 94/5*g = 0.
1/2, 23
Let u be 20/(-7)*(-15554)/8888. Factor -2/5*t**4 - 2/5*t**u + 2/5*t**2 + 2/5*t**3 + 0 + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/5
Let d(k) be the second derivative of 0*k**2 + 2/7*k**4 + 28 - 3/140*k**5 + k - 8/7*k**3. Factor d(t).
-3*t*(t - 4)**2/7
Let o(v) = -8*v + 61. Let u be o(7). Let p be 5 - 5/u - (-168)/(-44). Factor 0 + 4/11*n + p*n**2.
2*n*(n + 2)/11
Let g(f) be the first derivative of 1/6*f**3 + 1/2*f**4 - 21 + 0*f + 0*f**2 - 1/2*f**5. Factor g(l).
-l**2*(l - 1)*(5*l + 1)/2
Let i be 14/189*(-63)/(-15) - 7/35. Let f(g) be the first derivative of 22 - 1/9*g**2 - i*g**3 + 0*g - 1/36*g**4. Factor f(x).
-x*(x + 1)*(x + 2)/9
Let i be (-32)/(-20) - -12*2/60. Let s(n) be the third derivative of 1/5*n**6 - 2/105*n**7 + 0 + 0*n - n**i + 4/3*n**4 + 0*n**3 - 4/5*n**5. Factor s(b).
-4*b*(b - 2)**3
Let c = -2050241/6 - -341707. Find s such that -5/6*s + c*s**2 + 0 = 0.
0, 5
Solve 26*u**2 - 503*u**2 - 300*u - 111*u**2 - 267*u**2 + 153*u**3 - 9*u**5 + 51*u**4 = 0.
-4, -1/3, 0, 5
Let j(d) = 11*d**3 + 31*d**2 + 29*d + 15. Let n(u) = 100*u**3 + 280*u**2 + 260*u + 135. Suppose -37*y + 494 = -1541. Let z(w) = y*j(w) - 6*n(w). Factor z(l).
5*(l + 1)**2*(l + 3)
Let t = -1124682 - -2249571/2. Let -159/2*k**2 - 15*k - t*k**3 + 21/2*k**5 + 0 - 57/2*k**4 = 0. Calculate k.
-1, -2/7, 0, 5
Let q be (2/48)/(43/(-13072)*-38). Factor -11*r**2 + q*r + 11 - 1/3*r**3.
-(r - 1)*(r + 1)*(r + 33)/3
Let a(h) = -h**5 - h - 2. Let n(p) = 12*p**5 + 614*p**4 - 46196*p**3 - 142292*p**2 - 143516*p - 48022. Let l(x) = -28*a(x) - 2*n(x). Find t such that l(t) = 0.
-1, 155
Suppose 1084*l = 1075*l + 9. Let s be (-2)/(-2) + (l + -3 - -3). Suppose 1/6*d**3 - 1/6*d - 1/3 + 1/2*d**s - 1/6*d**4 = 0. Calculate d.
-1, 1, 2
Let d be 1/(6/42) - 4/(-4). Let k be ((-488)/(-1098))/(d/6). Let 10/3*m**3 + k*m**4 + 32/3*m**2 + 0 + 32/3*m = 0. Calculate m.
-4, -2, 0
Let x(g) be the third derivative of 196*g**2 + 0*g - 8/3*g**3 + 7/30*g**6 + 13/6*g**4 + 0 - g**5 - 2/105*g**7. Solve x(q) = 0.
1, 4
Factor -174/11*p - 2/11*p**2 + 16.
-2*(p - 1)*(p + 88)/11
Let k(x) be the second derivative of -7*x**4/2 - 3*x**3/2 + 33*x**2/2 + x - 434. Factor k(q).
-3*(q + 1)*(14*q - 11)
Let n(a) be the second derivative of -a**5/4 + 25*a**4/12 + 35*a**3/3 + 7658*a. Let n(b) = 0. Calculate b.
-2, 0, 7
Let n(m) be the first derivative of m**9/3024 - m**8/420 + m**7/210 - m**3/3 + 2*m + 14. Let j(q) be the third derivative of n(q). Suppose j(a) = 0. What is a?
0, 2
Let q(h) be the third derivative of 14*h + 23/150*h**5 - 1/840*h**8 + 3/20*h**6 + 0*h**4 + 0*h**3 + 0 + 2*h**2 + 1/25*h**7. Let q(p) = 0. Calculate p.
-1, 0, 23
Let k(b) be the third derivative of 3/40*b**4 + 48*b**2 - 1/600*b**6 + 1/50*b**5 - 7/15*b**3 + 0*b + 0. Factor k(g).
-(g - 7)*(g - 1)*(g + 2)/5
Let o(i) = -6*i**2 + 84*i - 585. Suppose -1 = -4*u - 13. Let d(q) = q**2 - 1. Let w(v) = u*d(v) - o(v). Find r, given that w(r) = 0.
14
Let p be 24/60 + (-18)/(-5). Let b(f) be the second derivative of 0 - 5/6*f**2 - 1/9*f**p - 7/6*f**3 - 28*f. Factor b(w).
-(w + 5)*(4*w + 1)/3
Suppose 0 = h + 2, -27*h + 31*h + 2 = -3*g. Factor 2*w**3 + 15*w - 7*w**g + 13*w - 32*w - 1 + 1.
w*(w - 4)*(2*w + 1)
Determine u so that 129904*u - 259823*u + 152 + 129769*u - 2*u**2 = 0.
-76, 1
Let w = 670 - 655. Let u be (w/20*(-16)/(-6))/11. Factor 20/11*p + 50/11 + u*p**2.
2*(p + 5)**2/11
Suppose -4*k + 2*v + 54 = -2*k, v = -4*k + 133. Let h be (0 - 2)*(-48)/k. Find b such that 0*b**4 + 1/3*b + 1/3*b**5 + 0*b**2 - 2/3*b**h + 0 = 0.
-1, 0, 1
Suppose n = v - 4 + 39, 4*v - 148 = -5*n. Suppose 6*a = n - 8. Factor -4 - a*k**3 - 6 - 176*k - k**3 - 20*k**2 + 151*k.
-5*(k + 1)**2*(k + 2)
Let n(z) be the second derivative of z**4/20 + 3*z**3/2 + 15*z**2 + 1791*z. Find g such that n(g) = 0.
-10, -5
Let d(w) be the first derivative of -2*w**3/27 + 922*w**2/3 - 425042*w + 6245. Determine x so that d(x) = 0.
1383
Let c(r) = 11*r**2 - 6131*r - 6094. Let f(g) = -10*g**2 + 6130*g + 6100. Let y(v) = -5*c(v) - 6*f(v). Factor y(n).
5*(n - 1226)*(n + 1)
Let d = 26 + -24. Let a = -10 + -12. Let r(h) = -h - 1. Let s(k) = -k**2 - 10*k - 9. Let p(m) = a*r(m) + d*s(m). Factor p(z).
-2*(z - 2)*(z + 1)
Let h(k) = 2*k**3 - 27*k**2 + 17*k - 36. Let d be h(13). Suppose -4*l = -5*x + 11, -4*l + 8*l = -4*x + d. Solve -3/7 - 15/7*s**2 + 12/7*s + 6/7*s**x = 0.
1/2, 1
Factor -159*r + 113*r**2 - 1252*r - 3*r**3 + 142*r**2 - 437*r.
-3*r*(r - 77)*(r - 8)
Let u be (201*10/210 + -10)*(344/(-24) - -9). Suppose -132/7*m + 230/7*m**2 + u - 36/7*m**4 - 78/7*m**3 = 0. Calculate m.
-4, 1/6, 2/3, 1
Let b(y) be the first derivative of y**3/3 + 31*y**2 - 491. Solve b(k) = 0 for k.
-62, 0
Let b(x) be the second derivative of -x**4/3 + 13304*x**3/21 - 3800*x**2/7 - 1718*x. Factor b(u).
-4*(u - 950)*(7*u - 2)/7
Let w(a) be the third derivative of 1/105*a**7 + 4/9*a**3 + 0*a**4 - 7/90*a**5 + 17*a**2 + 1/504*a**8 + 0*a - 1/180*a**6 + 2. Suppose w(j) = 0. Calculate j.
-2, -1, 1
Let j(a) be the third derivative of -a**7/168 - a**6/12 - 3*a**5/8 - 5*a**4/6 + 137*a**3/6 + 4*a**2. Let q(v) be the first derivative of j(v). Factor q(x).
-5*(x + 1)**2*(x + 4)
Factor 597*r - 27*r - 1321*r - 1231*r + 5*r**2 - 3*r**2.
2*r*(r - 991)
Let v be (-1 + (2 - 0))/(-10*(-7)/350). Let g(a) be the second derivative of -3*a**4 + 8*a**3 + 2/5*a**v + 16*a + 0 - 8*a**2. Factor g(u).
4*(u - 2)**2*(2*u - 1)
Let g(i) be the second derivative of -i + 4*i**3 + 11/3*i**4 - 5 + 0*i**2. Determine r, given that g(r) = 0.
-6/11, 0
Let p(g) be the third derivative of g**5/102 + 11*g**4/68 - 14*g**3/51 - 6*g**2 + 19*g. Let p(r) = 0. Calculate r.
-7, 2/5
Suppose 2*k = -s + 19, 4*s + 17 = 5. Let b(c) = -3*c**2 + 32*c + 13. Let t be b(k). Factor 46*r - r**3 - 4*r**3 - 31*r + 10*r**t.
-5*r*(r - 3)*(r + 1)
Let t(z) be the first derivative of -2*z**5/5 + 289*z**4 - 55294*z**3 - 167620*z**2 - 168200*z - 3407. Suppose t(k) = 0. What is k?
-1, 290
Suppose -q + 5 = 0, -2*f - 3*q + 108 = 33. Let l(u) be the first derivative of f*u - 3 + 25/2*u**2 + 5/3*u**3. Factor l(r).
5*(r + 2)*(r + 3)
Let m = -54555 + 54559. Factor 0 + 162/11*d**2 + 8/11*d**m + 72/11*d**3 + 0*d.
2*d**2*(2*d + 9)**2/11
Suppose 665*t - 672*t = -91. Suppose 5*o + 8*v = t*v, 4*o - 2 = 3*v. What is m in 1/3*m + 0 + 0*m**o - 1/3*m**3 = 0?
-1, 0, 1
Let f(o) be the third derivative of o**7/735 - 4*o**5/105 + 16*o**3/21 + 73*o**2 + 5. Determine m, given that f(m) = 0.
-2, 2
Let k = 596 - 293. Suppose 0 = -45*q - 168 + k. Factor 2/3*g**q - 2/3*g**4 + 0 + 0*g**2 + 1/6*g**5 + 0*g.
g**3*(g - 2)**2/6
Let i(y) be the third derivative of -y**6/24 - 1027*y**5/4 - 5273645*y**4/8 - 5416033415*y**3/6 - 349*y**2 + 2*y. Factor i(c).
-5*(c + 1027)**3
Suppose -5*g + 35 = 4*n + 3, -g = -5*n + 11. Find w, given that 9*w**3 + n*w**2 + w + 116 - 116 - 3*w**4 - 10*w = 0.
-1, 0, 1, 3
Let i = 1457053 - 16027581/11. Let -4050/11 - 180/11*o - i*o**2 = 0. Calculate o.
-45
Solve -3/7*j**3 + 2042415/7 + 2229/7*j**2 - 419553/7*j = 0.
5, 369
Let u(y) = 2804*y - 22430. Let a be u(8). Let v(s) be the third derivative of 0 - 1/120*s**6 - 17/24*s**4 + 2/15*s**5 + 5/3*s**3 + 3*s**a + 0*s. Factor v(w).
-(w - 5)*(w - 2)*(w - 1)
Solve 3/8*b**3 + 4725 + 111/4*b**2 + 1305/2*b = 0.
-30, -14
Let q be -4 - (0 - 8449/1806). Let f = q - 1/86. Let 5/3*n**3 - 3*n**2 + f*n + 3*n**4 - 7/3*n**5 + 0 = 0. What is n?
-1, 0, 2/7, 1
Let j be (-4)/8*3*(-1 - 9). Suppose -j*m + 20*m = 10. Suppose -3*l**3 + 3*l**2 - 2*l**m + 3*l**4 + 70*l**5 - 71*l**5 = 0. Calculate l.
0, 1
Suppose 2*r = 3*m, 0*m + 6 = -3*m + 3*r. Let q(o) be the second derivative of 9/8*o**m - 3/2*o**3 + 3/4*o**2 + 0 + 9*o - 3/10*o**5. Let q(y) = 0. Calculate y.
1/4, 1
Let c be -1*((-54)/(-36))/(6/8). Let d be c/(-11)*(-396)/(-108). Find o, given that 0 + 4/3*o**2 + d*o + 2/3*o**3 = 0.
-1, 0
Let p(w) be the first derivative of -11*w**3/9 - 311*w**2/12 - 7*w + 2610. What is l in p(l) = 0?
-14, -3/22
Let -12754828 - 2*x**3 + 2724*x**2 + 199908156 + 4*x**3 + 1236696*x = 0. Calculate x.
-454
Determine h so that -344/3*h**2 + 2/3*h**4 + 1016/3*h - 224 - 2/3*h**3 = 0.
-14, 1, 2, 12
Let o(a) be the second derivative of 1/10*a**6 + 57/80*a**5 + 9*a**2 + 67/24*a**4 + 13/2*a**3 + 1/168*a**