*2*(s - 3)*(s + 10)
Let w be (3/9*0)/(-16 + 15). Let c be w/((23 + 9)/(-4)). Find g such that -6*g + 6*g**2 - 6*g**4 + c + 9/2*g**3 + 3/2*g**5 = 0.
-1, 0, 1, 2
Suppose m + 12 = 4*z, 5*z + 6 = 5*m - 9*m. Let f be ((-8)/14)/(130/35 + m). Find k, given that -2/3*k**4 + 10/3*k - 2/3*k**3 + 2*k**f + 4/3 = 0.
-1, 2
Let m(n) be the second derivative of n**4/42 + 31*n**3/21 + 150*n**2/7 - 2560*n. Find q such that m(q) = 0.
-25, -6
Let r be -20 + (2013/(-3355))/((-3)/110). Factor 20/13*k + 50/13 + 2/13*k**r.
2*(k + 5)**2/13
Suppose -3*d + 6*d - 2*s = 202, -5*s = -5. Let n = -65 + d. Factor 12*g + 25*g**3 - g**4 + 8 + 18*g**3 - 4*g**2 - 55*g**n - 3*g**4.
-4*(g - 1)*(g + 1)**2*(g + 2)
Let w be 544/476*(-14)/20*2/(-4). What is h in -8/5*h - w*h**2 + 2 = 0?
-5, 1
Let u(j) = -3*j + 51. Let b be -14 - (44/(-20) - (-3)/15). Let g be u(b). Factor g*t**2 - 166*t**2 + 40 + 84*t**2 + 30*t.
5*(t + 2)*(t + 4)
Let h be 92/23 + (-39)/12 + 1. Find k, given that 0 - h*k**4 + k**5 + 0*k - 1/2*k**3 + 0*k**2 = 0.
-1/4, 0, 2
Let d(o) be the second derivative of -o**6/6 + 27*o**5/2 + 5*o**4 - 1580*o**3/3 - 2160*o**2 - 6679*o. Factor d(j).
-5*(j - 54)*(j - 4)*(j + 2)**2
Let l(h) be the third derivative of h**8/112 + 19*h**7/210 - 11*h**6/120 - 83*h**5/60 + 9*h**4/2 - 6*h**3 + 25*h**2 - 24. Determine x so that l(x) = 0.
-6, -3, 2/3, 1
Let v(f) be the first derivative of -f**5/30 - 3*f**4/2 + f**2 + 23*f - 172. Let k(j) be the second derivative of v(j). Factor k(c).
-2*c*(c + 18)
Let z(c) = c**4 + 67*c**3 + 3*c**2 - 21. Let t(y) = 2*y**4 + 70*y**3 + 2*y**2 - 14. Let n(d) = -3*t(d) + 2*z(d). Factor n(o).
-4*o**3*(o + 19)
Let p(g) = -3*g - 11. Let s be p(-4). Let m be 6*(3/9)/s. Solve -27*v - 3*v + 32 - 114*v + 180*v**3 - 100*v**4 + 104*v**m = 0 for v.
-1, 2/5, 2
Suppose r + 28 = -6*r. Let n be 1/((r/5)/(-4)). Factor 2/9*x**n + 16/9*x + 40/9*x**2 + 4*x**3 + 0 + 14/9*x**4.
2*x*(x + 1)*(x + 2)**3/9
Let l(t) = -11*t - 161. Let j be l(-15). Suppose -j*m + 95 = -281. Let m*f**3 - 8/5 + 16*f - 70*f**4 + 98/5*f**5 - 58*f**2 = 0. What is f?
2/7, 1
Factor -16/3*z**2 - 28/3*z - 1/3*z**3 + 0.
-z*(z + 2)*(z + 14)/3
Let g(l) be the first derivative of l**3 + 3279*l**2 + 3583947*l + 3747. Solve g(o) = 0 for o.
-1093
Let n be 37990/522 - 10 - 61. Let 2 - 2/9*s**2 + n*s = 0. What is s?
-1, 9
Let a(n) be the first derivative of -23 + 3/5*n**5 + 8/3*n**4 + 3*n + 0*n**2 - 2*n**3. Let y(v) be the first derivative of a(v). Factor y(j).
4*j*(j + 3)*(3*j - 1)
Let d be (-10)/35 + 48/(-28) + (-45)/(-9). Let y(l) be the second derivative of -17*l + 25/3*l**2 + 1/18*l**4 - 10/9*l**d + 0. Find v such that y(v) = 0.
5
Let h(p) = -p**5 - 2*p**4 - 2*p**3 + 2*p**2 + 3*p + 12. Let a(u) = -u**4 + u**2 + 2. Let z(x) = 6*a(x) - h(x). Factor z(l).
l*(l - 3)*(l - 1)**2*(l + 1)
Let s = 49 + -37. Let a(m) = -m + 23. Let g be a(s). Factor -b**3 - 4*b**2 + 8 - g*b**3 - b + 9*b - 4*b**4 + 4*b.
-4*(b - 1)*(b + 1)**2*(b + 2)
Let p(c) be the third derivative of -c**7/840 + 11*c**6/160 - 4*c**5/5 + 65*c**4/24 - 853*c**2. Find y, given that p(y) = 0.
0, 2, 5, 26
Suppose 3*q + 9 = 4*v, v + 5*q = 6*v - 15. Let d be 3 - (0 + v)/1. Find a, given that -a**2 - d*a**2 - 3*a**2 + 2*a + 5*a**2 = 0.
0, 1
Solve -35*u**2 - 238*u + 95 - u**3 + 31 - 5*u**3 - 10 + 163*u**2 = 0.
1, 58/3
Find s such that 137/5*s**4 + 110*s**3 + 693/5*s**2 + 4/5 + 284/5*s = 0.
-2, -1, -2/137
Suppose -2*k + 9 = -5*m, 3*k - 5*m = 5*k + 1. Let -6*v**2 + 9*v**2 - 10*v - k*v**2 - 22 + v = 0. What is v?
-2, 11
Let m(p) = 7*p**3 - 81*p**2 - 3*p - 393. Let b be m(12). Let 4/3 + 20/9*x**2 + 4/9*x**b + 28/9*x = 0. Calculate x.
-3, -1
Factor 897*s - 26*s**3 - 597*s - 448*s + 115*s**2 - s**4 + 0*s**4 + 60.
-(s - 2)*(s - 1)**2*(s + 30)
Let o = -32 - -32. Suppose 0 = 6*k - o*k - 18. Factor 4*h**3 - 2*h**k - 3*h + 16 - 5*h - 4*h**2.
2*(h - 2)**2*(h + 2)
Let b(g) be the second derivative of -52*g + 0 + 0*g**2 + 1/2*g**3 + 1/20*g**6 + 1/28*g**7 - 9/40*g**5 - 1/8*g**4. Suppose b(j) = 0. What is j?
-2, -1, 0, 1
Let a(f) be the third derivative of -f**7/210 + 37*f**6/240 - 49*f**5/120 - 17*f**4/24 + 209*f**2 + f + 1. Let a(h) = 0. Calculate h.
-1/2, 0, 2, 17
Factor 30/7*o**2 - 264/7*o + 3/7*o**3 + 384/7.
3*(o - 4)*(o - 2)*(o + 16)/7
Let z = -61/228 - -1673/1140. Let 3*d - 8/5 - 1/5*d**3 - z*d**2 = 0. Calculate d.
-8, 1
Suppose 19*l - 8*l = 4719. Let g = l + -429. Factor 1/3*q**3 - q + g*q**2 - 2/3.
(q - 2)*(q + 1)**2/3
Suppose 759*h - 1640 = -61*h. Factor 78*k + 169/4*k**h + 36.
(13*k + 12)**2/4
Let k(l) be the first derivative of -384*l - 1/2*l**3 - 24*l**2 - 19. Determine q so that k(q) = 0.
-16
Let z(g) be the third derivative of 108*g**2 + 0 + 7/18*g**4 - 1/45*g**6 - 4/3*g**3 - 5/252*g**8 + 0*g + 8/15*g**5 - 4/35*g**7. Solve z(f) = 0 for f.
-3, -1, 2/5, 1
Suppose 4*g + 528 = -2*v - 2*v, -3*g + 5*v = 356. Let h = 127 + g. Factor 6*c + 2*c**3 - 2*c**4 + 2*c**2 - 6*c - 2*c**5 + h*c**2.
-2*c**2*(c - 1)*(c + 1)**2
Factor 169/7 - 1/7*s**2 - 24*s.
-(s - 1)*(s + 169)/7
Let j be (-481)/78 - 18 - 1/(-6). Let y be 1/((-2)/j - (-5)/30). Determine d, given that 3/7*d + 12/7*d**2 + 3/7*d**5 - 6/7*d**y - 6/7*d**3 - 6/7 = 0.
-1, 1, 2
Factor 3*i**4 - 5*i**3 + 66*i**2 + 0*i**3 - 108*i**2 - 3*i**3 - 3*i**3.
i**2*(i - 6)*(3*i + 7)
Let j = -4/4071 - -9048/1357. Let x(b) be the second derivative of 18*b + 25*b**2 - 19/24*b**4 + 0 - j*b**3 - 1/40*b**5. What is a in x(a) = 0?
-10, 1
Let t be 39808/16172 + (-12)/26. Solve 0 - 5/3*x**t + 5*x = 0 for x.
0, 3
Suppose 20/9 + 11*y + 25/3*y**2 - 4/9*y**3 = 0. Calculate y.
-1, -1/4, 20
Let y be (-1 - (-4 + 2))/(4/72). Suppose i = -y + 20. Suppose 7/4*r - 3/4*r**i - 1/2 = 0. What is r?
1/3, 2
Let k(l) be the first derivative of 2*l**5/25 + 3*l**4/5 - 16*l**3/15 - 6*l**2/5 + 14*l/5 - 1757. Factor k(v).
2*(v - 1)**2*(v + 1)*(v + 7)/5
Suppose -1681 = -9*m - 1645. Let z(g) = -10*g - 1. Let q be z(-1). Solve -13*j**m - j + 17*j**2 - 4 - 4*j - q*j + 10*j - j**3 + 5*j**5 = 0.
-1, -2/5, 1, 2
Let j(p) be the first derivative of -2*p**3/51 + 9*p**2/17 + 104*p/17 - 5460. Factor j(f).
-2*(f - 13)*(f + 4)/17
Let q(i) be the second derivative of -3*i**5/20 + 11*i**4/4 - 19*i**3/2 + 27*i**2/2 + 452*i + 1. Solve q(w) = 0.
1, 9
Suppose u - c - 12 + 4 = 0, -4*c - 4 = 3*u. Factor 4*q**4 - 4*q**4 + 3*q**u + 24*q**3 - 21 + 18*q**2 - 24*q.
3*(q - 1)*(q + 1)**2*(q + 7)
Determine g, given that -28*g**4 - 120*g**5 + 33*g**5 + 25*g**5 + 34*g**5 + 32*g**5 + 48*g**2 + 16*g**3 = 0.
-1, 0, 2, 6
Let g = 142/315 + 85/63. Find u, given that -g*u**3 - 2 - 61/5*u - 96/5*u**2 = 0.
-10, -1/3
Let k be ((-36)/(-15) - -1) + -1. Let r = 7162/13 - 35784/65. Solve k - 2/5*q**2 - r*q = 0.
-3, 2
Suppose -p - 13*u + 52 = -5*u, 0 = -2*p - u + 14. Solve 62/7*q**3 - 34/7*q**2 - 32/7*q + 0 + 4/7*q**p = 0.
-16, -1/2, 0, 1
Let j(c) be the second derivative of -1/2*c**2 - 1/36*c**3 + 0 - 88*c + 1/72*c**4. Factor j(q).
(q - 3)*(q + 2)/6
Let y(p) = 331*p - 28132. Let j be y(85). Factor 4/3*n**j + 0*n + 0 - 68*n**2.
4*n**2*(n - 51)/3
Let r(x) = 5*x**2 - 342*x - 27219. Let v(j) = -j**2 + 2*j - 1. Let p(w) = r(w) + 6*v(w). Factor p(b).
-(b + 165)**2
Let i(q) be the first derivative of -2*q**5/55 + 19*q**4/22 - 78*q**3/11 + 27*q**2 - 540*q/11 - 2335. Determine w, given that i(w) = 0.
3, 10
Factor -60*j + 216/5 + 126/5*j**2 - 3/5*j**4 - 9/5*j**3.
-3*(j - 2)**3*(j + 9)/5
Let v(y) be the third derivative of -197/600*y**6 - 7/30*y**4 - 14 - 1/50*y**7 - 2*y**2 + 0*y - 59/75*y**5 + 16/15*y**3. Find x, given that v(x) = 0.
-8, -1, -2/3, 2/7
Let h = -194 + 197. Factor 28*k**2 + 175*k + 2*k**3 + 14*k**h - 183*k.
4*k*(k + 2)*(4*k - 1)
Let o(q) = 2*q**3 - 2*q + 2. Let k be o(1). Factor -188*i + 12*i**4 - 56*i**2 - 26*i**4 + 9*i**4 + 56 + 182*i**k - 13*i**3.
-(i - 2)**2*(i + 7)*(5*i - 2)
Let q = 6 + -3. Solve 1317*y**2 + 0*y - 4*y + 3*y**3 - 1332*y**2 + y**q = 0.
-1/4, 0, 4
Let r(x) be the second derivative of x**6/6 + 34*x**5/15 - 47*x**4/6 + 16*x**3/3 + 14*x**2 - x + 2. Let j(w) be the first derivative of r(w). Solve j(h) = 0.
-8, 1/5, 1
What is c in -1811187*c - 938194866 - 2331/2*c**2 - 1/4*c**3 = 0?
-1554
Find c, given that 1415/4 + 5/4*c**4 - 2125/2*c - 715/2*c**3 + 1065*c**2 = 0.
1, 283
Suppose -2/7*t**4 - 512/7*t - 2/7*t**5 + 64/7*t**3 + 64/7*t**2 - 512/7 = 0. Calculate t.
-4, -1, 4
Let s(f) be the second derivativ