*z**3/18 - 35*z**2/9 - 213*z. Factor y(q).
(q - 1)*(q + 70)/9
Factor 46808*l + 2*l**2 - 46808*l + 2*l**3.
2*l**2*(l + 1)
Suppose -2*d + 22 = 4*f, -f = 4*d + 4*f - 44. Suppose -1 = -4*r + d. Factor -r*y**4 + 4*y**2 - y**4 + 0*y**4.
-4*y**2*(y - 1)*(y + 1)
Factor -66 + 56*a + 6*a**2 + 6 - 2*a**2.
4*(a - 1)*(a + 15)
Suppose 4*x - 5*k = 0, 30*x = 29*x + 4*k. Let w(q) be the first derivative of x*q**2 - 1/3*q**3 - 6 + 0*q. Determine i, given that w(i) = 0.
0
Suppose 17/8*s + 3/8*s**3 - 1/8*s**4 + 15/8*s**2 + 3/4 = 0. Calculate s.
-1, 6
Suppose 14*f = 13 + 827. Let y be f/100*(-5)/(-6). Let 3*s**2 - 2*s**3 + 1/2 + y*s**4 - 2*s = 0. Calculate s.
1
Let p(a) be the third derivative of a**8/4200 + a**7/700 + a**6/450 + 5*a**3/2 - 5*a**2. Let s(b) be the first derivative of p(b). Determine y so that s(y) = 0.
-2, -1, 0
Let m = 1742/113505 + 4/1081. Let t(i) be the third derivative of -1/84*i**8 + 0 + m*i**7 + 0*i**5 + 0*i + 0*i**3 - 8*i**2 + 0*i**4 + 0*i**6. Factor t(j).
-4*j**4*(j - 1)
Let q(v) = -7*v**2 + 3*v - 2. Let d(s) = 8*s**2 - 2*s + 1. Let f(o) = 3*d(o) + 4*q(o). Let u(b) = b**2 - b + 1. Let y(a) = 2*f(a) + 10*u(a). Factor y(z).
2*z*(z + 1)
Let z = -733/144 + 46/9. Let q(f) be the third derivative of 0 + 0*f + 1/8*f**3 - 3*f**2 - z*f**4 - 1/240*f**5. Factor q(p).
-(p - 1)*(p + 3)/4
Let d be 16/(-132)*12/8*-1. Determine y so that -4/11 + 4/11*y**2 + d*y - 2/11*y**3 = 0.
-1, 1, 2
Let k = 14/309 - 15670/309. Let h = -50 - k. Determine i so that -4/3*i**2 + h*i**3 - 2/3*i + 4/3 = 0.
-1, 1, 2
Let s(n) = 2*n + 13. Let o be s(-6). Factor 1 - 8 - o - 4*k**2 - 4 - 16*k.
-4*(k + 1)*(k + 3)
Suppose z + 2 = 6. Suppose -z*g - 2*h + 2 = 0, 7 = g - h + 2. Find m, given that 3 + m + 7*m**2 + 2*m**g + 3*m**3 + 7*m + m = 0.
-1
Let p(s) be the first derivative of s**8/3360 - s**7/630 + 7*s**6/2160 - s**5/360 + 10*s**3/3 - 25. Let y(w) be the third derivative of p(w). Factor y(r).
r*(r - 1)**2*(3*r - 2)/6
Suppose -8*y + 3*y = 5. Let f = 1 - y. Factor 3*a**2 + 3*a**2 + 10*a + 6 - f*a**3 - 5*a**2 + a**2.
-2*(a - 3)*(a + 1)**2
Factor -2/13*n**2 + 56/13*n + 0.
-2*n*(n - 28)/13
Let f(w) be the first derivative of -4/55*w**5 - 3/22*w**4 - 1/22*w**2 - 4/33*w**3 - 10 + 0*w - 1/66*w**6. Factor f(g).
-g*(g + 1)**4/11
Let b = 522 + -1043/2. Factor g**3 + 0*g**2 + 0 + 0*g + b*g**4.
g**3*(g + 2)/2
Let t = -26199/50 - -524. Let l(c) be the second derivative of t*c**6 + 0 - 3/10*c**2 + 0*c**4 + 4*c - 1/5*c**3 + 3/50*c**5. Factor l(m).
3*(m - 1)*(m + 1)**3/5
Let a = -2 + 6. Suppose -19 = -d + a*q, 0*q - 15 = -d + 3*q. Solve -2*u**4 + 2*u**3 - d*u**5 + u**5 + 0*u**5 + 5*u**2 - 3*u**2 = 0.
-1, 0, 1
Let w(h) be the second derivative of h**7/84 - 11*h**6/90 - 53*h**5/60 - 13*h**4/6 - 97*h**3/36 - 11*h**2/6 - 31*h - 1. Suppose w(k) = 0. What is k?
-1, -2/3, 11
Let v(l) be the second derivative of 39*l**5/100 - 41*l**4/20 - 23*l**3/5 + 12*l**2/5 + 95*l - 1. What is f in v(f) = 0?
-1, 2/13, 4
Factor 0*k - 9/2*k**4 + 0*k**2 + 39/8*k**3 - 3/8*k**5 + 0.
-3*k**3*(k - 1)*(k + 13)/8
Factor 715 - r**2 - 645 - r + 70*r.
-(r - 70)*(r + 1)
Let p(u) = -2*u + 43. Let m be p(18). Let -12*v**4 + 8*v**2 + 12*v**3 - 19*v**5 + 4*v**5 + m*v**5 = 0. What is v?
-2, -1/2, 0, 1
Let q be (-2)/(-24) - (11 + 2 + -13). Let s(w) be the first derivative of -4/15*w**5 + 2/9*w**3 - 1/6*w**6 + 3 + q*w**4 + 0*w + 0*w**2. Factor s(l).
-l**2*(l + 1)**2*(3*l - 2)/3
Let d be (-400)/(-990) + (-18)/99. Determine k, given that -2/9*k**2 - d*k**4 + 2/3*k**3 - 2/3*k + 4/9 = 0.
-1, 1, 2
Determine g, given that 16*g - 16 - 12*g**3 + 6*g**3 + g**3 + g**4 + g**3 = 0.
-2, 2
Factor -7/2*u**3 + 13/4*u**2 + 1/4*u**4 + 0 + 0*u.
u**2*(u - 13)*(u - 1)/4
Let b(t) be the first derivative of -t**4/12 + t**2/2 - 2*t/3 - 276. Determine m, given that b(m) = 0.
-2, 1
Find x such that -82*x - 8*x**2 + 264*x**2 - 316*x**3 + 172*x**4 - 34*x**5 + 571 - 567 = 0.
1/17, 1, 2
Let 0 + 1/2*w**2 + 1/4*w**3 + 0*w - 1/4*w**4 = 0. What is w?
-1, 0, 2
Suppose -2*q + 27 - 11 = 0. Suppose 3*a + 3*p - 74 = -p, -2*p = -a + q. Find r, given that 20*r**3 + 8*r**2 - a*r**3 - 11*r**3 - 2*r**2 + 3*r**5 = 0.
-2, 0, 1
Let k(b) be the second derivative of b**9/22680 - b**8/4200 + b**7/3150 - 17*b**3/6 + 21*b. Let q(h) be the second derivative of k(h). Let q(j) = 0. What is j?
0, 1, 2
Let l(m) be the third derivative of 0*m - 1/90*m**5 + 0 + 1/270*m**6 + 1/945*m**7 - 7*m**2 + 4/27*m**3 - 1/27*m**4. Factor l(n).
2*(n - 1)**2*(n + 2)**2/9
Let b(a) = 4*a**2 + 5*a - 229. Let h be b(7). Factor -1/6*c**4 + 0*c + 0 + 0*c**3 + 1/6*c**h.
-c**2*(c - 1)*(c + 1)/6
Let j(o) = o**2 - 121*o - 122. Let g(s) = 60*s + 60. Let n(k) = 9*g(k) + 4*j(k). Factor n(q).
4*(q + 1)*(q + 13)
Let z be -1 - (11 + 76/(-6)). Let 2/3*m**2 + z*m + 0 = 0. What is m?
-1, 0
Factor -24*a - 264 - 6/11*a**2.
-6*(a + 22)**2/11
Suppose 3*b - 2*g = 1 - 3, 4*b = 3*g - 3. Suppose 0*s**2 + 1/9*s**4 + 4/9*s**3 + b*s + 0 = 0. What is s?
-4, 0
Let d(h) be the first derivative of h**6/240 - h**5/60 - 27*h**2/2 + 32. Let u(m) be the second derivative of d(m). Factor u(w).
w**2*(w - 2)/2
Let o(l) be the first derivative of -135*l**6/2 + 63*l**5 + 4135*l**4/4 + 4145*l**3/3 + 385*l**2 + 40*l - 160. Let o(z) = 0. What is z?
-2, -1, -1/9, 4
Let k(g) be the third derivative of -18*g**2 + 9/8*g**4 + 0*g + 5/2*g**3 + 0 - 3/70*g**7 - 1/10*g**5 - 1/4*g**6 + 1/112*g**8. Find x, given that k(x) = 0.
-1, 1, 5
Let o be (-7)/(-9) + 16/72. Suppose 5*s + o = 1. Factor -1/4*y**4 + 3/4*y**2 + 1/2*y**3 + 0 + s*y.
-y**2*(y - 3)*(y + 1)/4
Suppose -4*y + 2*y = -20. Suppose 0 = 38*t - 106 - 46. Factor -t*i - 2/5*i**2 - y.
-2*(i + 5)**2/5
Let x be (3/(12/(-20)))/1. Let t be (10/4)/(x/(-12)). Solve -219*s**2 + 2*s**4 + 4*s**5 - 8 - 28*s + 187*s**2 + t*s**4 - 8*s**3 = 0 for s.
-1, 2
Suppose 0 = -81*s + 74*s + 21. Let r(q) be the first derivative of -2*q**2 + 2*q**4 + 4 - 4/5*q**5 + 8/3*q**s - 4*q - 2/3*q**6. Find z such that r(z) = 0.
-1, 1
What is n in 16 + 14*n**4 - 273*n**3 - 6*n**5 + 88*n + 203*n**3 + 12*n**5 - 60*n**2 + 6*n**5 = 0?
-2, -1/6, 1, 2
Let h(u) = u + 11. Let z be h(-8). Suppose 2*w + 0*j = j + 16, 5*j = 4*w - 38. Solve -f + f + 2*f + 4*f**4 - 2*f**2 - w*f**2 + 3*f**z = 0 for f.
-2, 0, 1/4, 1
Let p(a) = 50*a**3 - 290*a**2 + 135*a - 35. Let v(c) = -3*c**3 + 17*c**2 - 8*c + 2. Let x(g) = 2*p(g) + 35*v(g). Factor x(z).
-5*z*(z - 2)*(z - 1)
Determine s, given that -1/8*s**2 + 23/8*s - 11/4 = 0.
1, 22
Let t = -39 + 58. Determine f, given that 4*f**5 - 16 - 28*f**4 + 45*f - 100*f**2 + 9*f**3 + 0 + 67*f**3 + t*f = 0.
1, 2
Let s = -26 - -31. Factor 16 + 4*x - s*x**3 + x**3 - 6*x**2 - 10*x**2.
-4*(x - 1)*(x + 1)*(x + 4)
Determine w so that 22*w - 385/2*w**4 + 0 - 49*w**5 + 783/2*w**3 - 172*w**2 = 0.
-11/2, 0, 2/7, 1
Let n(s) be the third derivative of -s**7/945 - s**6/135 - s**5/54 - s**4/54 + 388*s**2. Determine y so that n(y) = 0.
-2, -1, 0
Let r(o) be the first derivative of -9 - 1/600*o**6 + 0*o + 0*o**3 + o**2 + 1/300*o**5 + 1/60*o**4. Let k(d) be the second derivative of r(d). Factor k(z).
-z*(z - 2)*(z + 1)/5
Let z(y) = -y**2 - y. Let i(f) = -3*f**2 + 25*f - 8. Let c(p) = -p - 3. Let v be c(-2). Let n(q) = v*i(q) - 5*z(q). Let n(x) = 0. What is x?
1/2, 2
Let w(m) = -m**3 - 38*m**2 + 35*m - 153. Let c be w(-39). Factor -2/11*v**c + 8/11*v**2 + 4/11 - 10/11*v.
-2*(v - 2)*(v - 1)**2/11
Suppose -3 = -2*h + 9. Suppose q + 4 = 4*z - 5, 0 = -q - z + h. Determine g, given that g**3 + 0*g**4 - 5*g + g**5 + 5*g**q + 4*g**4 + 4*g**2 + 6*g = 0.
-1, 0
Let c(f) be the first derivative of -3/8*f**2 - 1/12*f**3 + 3/16*f**4 + 1/2*f + 18 - 1/20*f**5. Determine n, given that c(n) = 0.
-1, 1, 2
Let b(a) be the third derivative of -a**7/14 + 243*a**6/40 - 71*a**5/10 - 12*a**4 - 500*a**2. Find x, given that b(x) = 0.
-2/5, 0, 1, 48
Let l be (4/(20/(-1565)))/((-3)/15). Factor 2*q - 1560*q**2 + 15*q + 3*q + l*q**2.
5*q*(q + 4)
Let p(i) be the third derivative of -7*i**6/540 + 8*i**5/135 - i**4/27 - 241*i**2. Factor p(h).
-2*h*(h - 2)*(7*h - 2)/9
Let m(o) be the third derivative of 5*o**8/84 - 23*o**7/14 + 197*o**6/24 - 217*o**5/12 + 165*o**4/8 - 35*o**3/3 - 2*o**2 + 6*o. What is n in m(n) = 0?
1/4, 1, 14
Let o(p) be the third derivative of 1/60*p**7 - 1/48*p**4 + 0*p**3 - 1/16*p**6 + 3/40*p**5 + 0*p + 0 + 37*p**2. Let o(d) = 0. What is d?
0, 1/7, 1
Determi