*2 - 28 - 6*d**2 + 23*d**4 - 11*d**3 + d - 19*d + 29*d**3 = 0.
-7, -2, -1, 1
Let r be 2 - (-2)/((-3)/(-3)). Let d(c) = 3*c - 6. Let l be d(r). Let 4*u + 8*u**3 + 3 + 6*u**2 - 3 - l*u**3 = 0. What is u?
-2, -1, 0
Suppose 78*p - 73*p - 17 = i, 3*p = 4*i. Factor 0 + 1/2*h**i + h**2 + 1/2*h.
h*(h + 1)**2/2
Factor -37*f**4 + 119*f**3 + 167*f**2 - 64*f - 144 - 56*f + f**5 + 14*f**4.
(f - 12)**2*(f - 1)*(f + 1)**2
Let z be (-208)/315 + (-32)/(-56). Let h = z + 134/495. What is g in -h*g**2 + 0 + 2/11*g = 0?
0, 1
Let o(s) be the first derivative of -s**3/5 - 27*s**2 + 317. Solve o(j) = 0 for j.
-90, 0
Let o(d) be the first derivative of 15*d - 5*d**3 - 12 - 5/2*d**2 + 5/4*d**4. Factor o(h).
5*(h - 3)*(h - 1)*(h + 1)
Factor -255 + 16*d**2 + 253 - 2*d**4 + 6*d**4 - 15*d**3 - 3*d.
(d - 2)*(d - 1)**2*(4*d + 1)
Let l(y) be the first derivative of y**4/5 - 12*y**3/5 - 4*y**2 + 121. Factor l(k).
4*k*(k - 10)*(k + 1)/5
Let i(m) = 2*m**3 + 6*m**2 + 8*m - 2. Let f(n) = 8*n**3 + 23*n**2 + 32*n - 9. Let l(u) = -4*f(u) + 18*i(u). Let l(t) = 0. Calculate t.
-2, 0
Let a(i) be the first derivative of i**5/4 + 25*i**4/12 + 20*i**3/3 + 10*i**2 - 17*i + 8. Let d(x) be the first derivative of a(x). Factor d(q).
5*(q + 1)*(q + 2)**2
Let b(h) = h**3 + 6*h**2 + 4*h - 1. Let q be b(-5). Let y(o) = -11*o + 27. Let r be y(2). Solve 0 - 6*a**3 + 0*a**2 - a + 4*a**2 - a**r + 0 + 4*a**q = 0.
0, 1
Suppose 2*o + o = 0. Suppose 3*x - 9 - 3 = o. Determine l, given that -4*l**3 - 3*l**2 - l**2 - x*l**2 + 0*l**3 = 0.
-2, 0
Let v(w) be the third derivative of 1/20*w**4 - 6*w**2 + 0 - 2/15*w**3 + 0*w - 1/150*w**5. Solve v(z) = 0.
1, 2
Let u be 3 - 31/11 - (-3)/(330/(-20)). Factor -2/11*c**4 - 12/11*c**2 + 0*c + u + 10/11*c**3.
-2*c**2*(c - 3)*(c - 2)/11
Factor -15/4*b + 1/4*b**2 - 27/2.
(b - 18)*(b + 3)/4
Let m(y) be the third derivative of -y**8/171360 - y**7/21420 - 3*y**5/20 - 2*y**2. Let v(p) be the third derivative of m(p). Solve v(k) = 0.
-2, 0
Let z(c) be the third derivative of c**8/672 + c**7/210 - c**6/80 - c**5/30 + c**4/12 - 546*c**2. Find n, given that z(n) = 0.
-2, 0, 1
Let l(v) be the first derivative of 1/8*v**4 - 1/4*v**2 + 0*v**3 - 1/4*v + 1/20*v**5 - 12. Factor l(s).
(s - 1)*(s + 1)**3/4
Let p(w) be the third derivative of 0 + 1/55*w**6 + 0*w - 1/33*w**3 - 1/22*w**4 - 22*w**2 - 1/66*w**5. Find k, given that p(k) = 0.
-1/3, -1/4, 1
Let a be (9/(-12) + 0)/(1131/(-116)). Let y(l) be the second derivative of 5/39*l**3 + 1/13*l**4 - a*l**2 - l + 0. Factor y(m).
2*(m + 1)*(6*m - 1)/13
Factor -115*j**2 + 2612 - 72*j + 481*j**2 - 2620 + 102*j**3 + 98*j**3.
2*(j + 2)*(4*j - 1)*(25*j + 2)
Let w be 13/(-28) + 2337/3116. Factor -w*t**2 + 0 - 2/7*t.
-2*t*(t + 1)/7
Let i(a) = 9*a**2 - 31*a - 10. Let t(m) = m**2 + m. Let f(c) = i(c) + 6*t(c). Let n(b) = 3*b**2 - 5*b - 2. Let r(v) = -6*f(v) + 33*n(v). Factor r(l).
3*(l - 2)*(3*l + 1)
Suppose -1/2 - 9*p**5 - 21/4*p - 3*p**4 + 107/4*p**3 - 9*p**2 = 0. What is p?
-2, -1/6, 1
Let a = 508 - 506. Solve -9/2*b**a + 11/2*b - 1 = 0.
2/9, 1
Let h = -5708 + 5710. Let 3/4*s**h + 1 + 13/4*s = 0. Calculate s.
-4, -1/3
Let l(a) be the third derivative of a**6/360 + a**5/30 + a**4/24 - 5*a**3/9 + 2*a**2 - 44*a. Solve l(x) = 0.
-5, -2, 1
Let u(b) be the first derivative of 2*b**3/3 - 7*b**2 + 20*b + 43. Suppose u(g) = 0. Calculate g.
2, 5
Let q(r) = 6*r**2 - 6*r**2 - 16 + 23*r - 2*r**2. Let f(h) = h**2 - 8*h + 5. Let y(i) = 7*f(i) + 2*q(i). Factor y(t).
(t - 3)*(3*t - 1)
Suppose -18 = -5*k + 2. Let t(n) be the first derivative of 6*n - 21/2*n**2 - 4 + 9*n**3 + 3/5*n**5 - 15/4*n**k. Find c such that t(c) = 0.
1, 2
Suppose s - 2*p - 19 - 7 = 0, -3*p = -4*s + 94. Let o = -131/6 + s. Factor 1/2*n - 1/3 + 0*n**2 - o*n**3.
-(n - 1)**2*(n + 2)/6
Let v(c) be the first derivative of 5 + 0*c - 4/5*c**5 - 4*c**2 + 2*c**4 + 4/3*c**3. Factor v(l).
-4*l*(l - 2)*(l - 1)*(l + 1)
Let w(k) be the second derivative of k**5/4 + 5*k**4/3 - 25*k**3/6 - 250*k. Factor w(d).
5*d*(d - 1)*(d + 5)
Let p(t) be the first derivative of -t**3/18 - 2*t**2 + 25*t/6 + 914. Solve p(j) = 0 for j.
-25, 1
Let r(f) be the first derivative of f**7/280 - f**6/30 + f**5/8 - f**4/4 - 3*f**3 - 7. Let m(c) be the third derivative of r(c). Solve m(w) = 0 for w.
1, 2
Let 11/5*f**3 + 0*f - 6/5*f**2 + 1/5*f**5 + 0 - 6/5*f**4 = 0. What is f?
0, 1, 2, 3
Let a(j) be the third derivative of -5/1512*j**8 + 1/18*j**4 - 18*j**2 - 17/270*j**5 + 0 + 0*j + 17/945*j**7 + 0*j**3 - 1/540*j**6. Suppose a(n) = 0. What is n?
-1, 0, 2/5, 1, 3
Let v(d) be the first derivative of 11*d**5/40 + 35*d**4/32 + 13*d**3/8 + 17*d**2/16 + d/4 + 153. Find k such that v(k) = 0.
-1, -2/11
Let o(b) be the first derivative of -2*b**3/3 - 64*b**2 - 2048*b - 446. Solve o(m) = 0 for m.
-32
Factor 0 - 4/17*y**2 - 2/17*y**3 + 6/17*y.
-2*y*(y - 1)*(y + 3)/17
Solve -11*d**2 - 284*d + 4*d - 134*d**2 + 20 = 0.
-2, 2/29
Let q(t) be the first derivative of 16/5*t + 12/5*t**2 - 33 + 4/5*t**3 + 1/10*t**4. Suppose q(l) = 0. Calculate l.
-2
Let f(t) be the second derivative of -t**5/90 - 7*t**4/54 + 44*t**3/27 - 89*t. Let f(d) = 0. Calculate d.
-11, 0, 4
Let v(o) = o**3 - o**2 + 5. Let b be v(0). Suppose 0 = -5*f, -b*g - f = -2*g - 6. Factor 4 - 4*h + g*h**2 + h + h - 4*h.
2*(h - 2)*(h - 1)
Let b(c) be the third derivative of -c**7/35 - 3*c**6/8 - 31*c**5/20 - 3*c**4/2 + 212*c**2. Factor b(s).
-3*s*(s + 3)*(s + 4)*(2*s + 1)
Suppose -45 = -16*j - 13. Let m(c) be the first derivative of 0*c**3 - 5 + 2/5*c**5 + 0*c**4 + 0*c**j + 0*c. Factor m(q).
2*q**4
Let s(r) be the third derivative of r**5/20 - 5*r**4/2 + r**2 - 33*r. Find m such that s(m) = 0.
0, 20
Factor -1/9*m**2 - 1/3*m + 2.
-(m - 3)*(m + 6)/9
Let u be 14/2 - (-69 + 47 - -25). Factor -5/3*b**3 + 1/3*b**u + 0 + 2*b**2 + 0*b.
b**2*(b - 3)*(b - 2)/3
Let s(t) be the first derivative of -3/10*t**5 - t - 1/8*t**4 + 5/6*t**3 + 9 + 1/4*t**2. Let s(i) = 0. Calculate i.
-1, 2/3, 1
Let v(x) be the first derivative of 0*x**5 + 1/42*x**6 - 15 + 0*x + 0*x**2 - 2/21*x**3 - 3/28*x**4. Find z, given that v(z) = 0.
-1, 0, 2
Let l be 16/(-6)*((-228)/(-8))/(-19). Let g(x) = x**3 - 2*x**2 - 10*x + 10. Let b be g(l). What is s in 9*s**b + 6*s - 12 + 3/2*s**4 - 15/2*s**3 = 0?
-1, 2
Let w(q) be the second derivative of 0 - 4/21*q**3 + 13*q + 0*q**4 - 1/105*q**6 + 0*q**2 + 3/70*q**5. Factor w(z).
-2*z*(z - 2)**2*(z + 1)/7
Let l(z) = 4*z**3 + 8*z**2 + 6*z + 6. Let r(j) = -11*j**3 - 23*j**2 - 19*j - 17. Let x = -108 + 91. Let t(p) = x*l(p) - 6*r(p). Factor t(i).
-2*i*(i - 3)*(i + 2)
Let v(y) be the second derivative of y**9/12096 + y**8/8960 - y**7/2016 - y**6/960 - 2*y**4 + 3*y. Let b(i) be the third derivative of v(i). Factor b(g).
g*(g - 1)*(g + 1)*(5*g + 3)/4
Factor 7*v**2 - 3*v**2 - 18*v - 3*v**2 - 22*v + 400.
(v - 20)**2
Let u(j) be the second derivative of 5*j**9/13608 - j**8/6048 - 4*j**7/2835 - j**6/810 + j**4/6 + 23*j. Let i(k) be the third derivative of u(k). Factor i(p).
2*p*(p - 1)*(5*p + 2)**2/9
Let w = -249 - -253. Let l(p) be the third derivative of -1/18*p**3 - 3*p**2 + 0*p + 1/72*p**w - 1/360*p**6 + 0 + 1/180*p**5. Determine c so that l(c) = 0.
-1, 1
Let q(t) be the first derivative of -t**8/210 + 19*t**7/980 - t**5/105 + 3*t**3 + 43. Let l(x) be the third derivative of q(x). Solve l(m) = 0.
-1/4, 0, 2/7, 2
Let c(d) be the first derivative of -8 + 5*d**3 - d**5 - 25/2*d**2 + 5/4*d**4 + 10*d. Factor c(o).
-5*(o - 1)**3*(o + 2)
Let u(o) be the first derivative of -o**9/9072 + o**7/1260 - o**5/360 + 10*o**3/3 + 12. Let m(w) be the third derivative of u(w). Factor m(k).
-k*(k - 1)**2*(k + 1)**2/3
Find h such that -40/3 - 10/3*h**4 - 2*h**2 + 56/3*h**3 - 112/3*h = 0.
-1, -2/5, 2, 5
Let q(y) be the first derivative of -y**4/2 + 2*y**3/9 + 4*y**2 - 8*y/3 + 208. Factor q(n).
-2*(n - 2)*(n + 2)*(3*n - 1)/3
Let x(l) be the first derivative of 0*l + 4/3*l**3 + 0*l**2 - 9 + 1/4*l**4. Factor x(s).
s**2*(s + 4)
Let n be 24/70*7/2. Suppose -73*y + 77*y + 6 = -o, -4*y = -5*o + 18. Determine j, given that n - 8/5*j + 2/5*j**o = 0.
1, 3
Let r(k) be the second derivative of -k**6/540 - k**5/90 - 5*k**3/6 - 30*k. Let y(o) be the second derivative of r(o). Factor y(u).
-2*u*(u + 2)/3
Let x be (8/(-20))/(1332/(-370)). Factor -x*r**2 + 2/9 + 1/9*r.
-(r - 2)*(r + 1)/9
Suppose 11*k + 36 = 13*k. Let t be (-1 + -2)/(k/(-1