**5/4 + 25*q**4/8 + 4*q**3/3 + 21*q. Let p(t) be the second derivative of v(t). Factor p(o).
3*(o + 5)**2
Factor 24*c + 5*c**2 - 19*c**3 + 10*c**3 + 6*c + 5*c**4 - 11*c**3.
5*c*(c - 3)*(c - 2)*(c + 1)
Let a(w) be the second derivative of w**8/420 - w**6/45 + w**4/6 + w**3/2 + 5*w. Let h(l) be the second derivative of a(l). Factor h(g).
4*(g - 1)**2*(g + 1)**2
Let w(o) be the third derivative of o**7/420 + o**6/40 + 3*o**5/40 + o**4/12 + 641*o**2. Solve w(b) = 0.
-4, -1, 0
Let p(c) = -4*c + 3*c**2 + 4 + 2*c + 0*c + 0*c**2. Let l(n) = -5*n**2 + 4*n - 7. Let s(a) = 4*l(a) + 7*p(a). Factor s(h).
h*(h + 2)
Let j be 684/15*-4*(-30)/24. Suppose -224*f = -j*f + 12. Factor 28/3*g**f - 4/3*g**2 + 0 - 49/3*g**4 + 0*g.
-g**2*(7*g - 2)**2/3
Let x(z) be the third derivative of z**4/12 + z**2. Let f(l) = l**3 + l. Let q(b) = b**2 + 7*b - 1. Let n be q(-7). Let g(k) = n*x(k) + f(k). Factor g(m).
m*(m - 1)*(m + 1)
Suppose -407/9*o**3 + 121/9*o**4 + 8/9 - 100/9*o + 42*o**2 = 0. Calculate o.
2/11, 1, 2
Let f = 273 - 162. Let y = f - 109. Factor -3/5*c**y - 12/5 + 12/5*c.
-3*(c - 2)**2/5
Let x(m) be the second derivative of 7*m**6/120 + 4*m**5/15 - 17*m**4/24 - m**3 + 23*m**2/2 + 26*m. Let d(b) be the first derivative of x(b). Factor d(w).
(w - 1)*(w + 3)*(7*w + 2)
Let m(v) = -v**2 + 9*v - 15. Let z be m(6). Factor -3*w**z - 306*w**2 + 0*w**3 + 3*w + 12 + 294*w**2.
-3*(w - 1)*(w + 1)*(w + 4)
Let z(l) be the third derivative of l**7/5040 - l**6/1440 - 11*l**4/24 - 12*l**2. Let r(o) be the second derivative of z(o). Factor r(h).
h*(h - 1)/2
Let c = -1/60 - -127/420. Let i = 322 - 322. Suppose i + c*b**4 + 6/7*b**2 + 0*b - 8/7*b**3 = 0. What is b?
0, 1, 3
Suppose -56*o + 84 = -14*o. Factor -10/9*l + 4/9 + 2/9*l**o + 4/9*l**3.
2*(l - 1)*(l + 2)*(2*l - 1)/9
Suppose -4*t + 385 - 365 = 0. Let g(j) be the third derivative of 0 - 1/8*j**4 - 1/80*j**t + 0*j - 1/2*j**3 - 4*j**2. Factor g(f).
-3*(f + 2)**2/4
Let m(l) = -2*l**3 + l. Let z(t) = -6*t**3 - 12*t**2 - 14*t. Let x(k) = -2*m(k) + z(k). Find d such that x(d) = 0.
-4, -2, 0
Factor 3*i**2 - 1/2*i**3 - 7/2*i + 5/4 - 1/4*i**4.
-(i - 1)**3*(i + 5)/4
Let i(f) = -98*f**2 + 364*f - 317. Let g(y) = 49*y**2 - 182*y + 157. Let c(n) = 7*g(n) + 4*i(n). Determine h, given that c(h) = 0.
13/7
Let q = -630 - -635. Let x(i) be the third derivative of 1/60*i**4 + 1/300*i**q + 0 - 7*i**2 + 1/30*i**3 + 0*i. Factor x(s).
(s + 1)**2/5
Let u be (-8)/(-28) + 48/28. Let l be (((-1)/4)/((-1)/(-4)))/((-15)/9). Find o such that -l*o + 0 + 0*o**u + 3/5*o**3 = 0.
-1, 0, 1
Let y(g) = -12*g**4 - 56*g**3 - 332*g**2 + 845*g - 450. Let n(p) = -5*p**4 - 28*p**3 - 166*p**2 + 422*p - 225. Let z(f) = 10*n(f) - 4*y(f). Factor z(x).
-2*(x - 1)**2*(x + 15)**2
Let l = 1997/1338 + 5/669. Factor 1/2*b + l - 1/2*b**3 - 3/2*b**2.
-(b - 1)*(b + 1)*(b + 3)/2
Factor 0 + 25*j**2 - 51/2*j + 1/2*j**3.
j*(j - 1)*(j + 51)/2
Let o = 193 - 771/4. Let a(k) be the first derivative of 1/16*k**4 + 1 + 1/2*k - 5/8*k**2 + o*k**3 - 1/20*k**5. Factor a(m).
-(m - 1)**3*(m + 2)/4
Let j = 1125 + -1121. Let s(b) be the second derivative of 3/8*b**4 + 1/4*b**3 + 9/40*b**5 + 1/20*b**6 - j*b + 0 + 0*b**2. Find i, given that s(i) = 0.
-1, 0
Factor 9*z**3 - 2*z**3 - 3*z**4 + 3*z**3 - 4*z**3 - 3*z**2.
-3*z**2*(z - 1)**2
Let v = -514 + 362. Let s = v + 154. Factor 0 + 2/5*t**s - 4/5*t.
2*t*(t - 2)/5
Let u(p) be the second derivative of 6*p**6/5 - 102*p**5/5 + 373*p**4/3 - 952*p**3/3 + 392*p**2 - 337*p. Let u(j) = 0. Calculate j.
1, 14/3
Let r(a) be the first derivative of 2/9*a**3 + 8 + 0*a - 1/6*a**4 + 2/3*a**2. Solve r(z) = 0 for z.
-1, 0, 2
Let y(f) be the third derivative of f**7/22680 - f**6/1080 + f**5/120 + f**4/6 - f**2 - 11*f. Let h(l) be the second derivative of y(l). Factor h(o).
(o - 3)**2/9
Let g = -3190 + 3196. Suppose -15/2*s + 3/2*s**2 + g = 0. Calculate s.
1, 4
Let m(s) be the third derivative of 0*s + 0*s**3 - 15*s**2 + 11/20*s**5 + 32/35*s**7 + 2/7*s**8 + 0 + 1/8*s**4 + 21/20*s**6. Let m(a) = 0. Calculate a.
-1, -1/2, -1/4, 0
Let f(b) be the first derivative of 14 - 5/12*b**4 + 0*b**2 + 14*b - 5/6*b**3. Let g(j) be the first derivative of f(j). Find k, given that g(k) = 0.
-1, 0
Let z(s) = -s**2 - 49*s - 60. Let h(l) = 4*l**2 + 146*l + 184. Let w(q) = -2*h(q) - 7*z(q). Factor w(r).
-(r - 52)*(r + 1)
Let c(l) be the second derivative of l**6/135 + l**5/15 + 11*l**4/54 + 2*l**3/9 - 93*l. Factor c(i).
2*i*(i + 1)*(i + 2)*(i + 3)/9
Let p(o) = -o**3 - 2*o**2 + 6*o - 5. Let x(m) = -m - 2. Let f be x(2). Let u be p(f). Let 11/3*v**u - 1/3 + 3*v**2 + 4/3*v**4 + 1/3*v = 0. Calculate v.
-1, 1/4
Let c(o) be the second derivative of -o**6/24 - 17*o**5/80 - o**4/8 + 5*o**3/6 + o**2 - 141*o. Solve c(q) = 0 for q.
-2, -2/5, 1
Let q(a) be the first derivative of -2*a**3/15 + 88*a**2/5 - 3872*a/5 - 574. Factor q(u).
-2*(u - 44)**2/5
Let t(w) be the second derivative of 1/90*w**6 + 0 - 1/36*w**4 + 1/60*w**5 - 10*w - 1/18*w**3 + 0*w**2. Factor t(i).
i*(i - 1)*(i + 1)**2/3
Let j be 0 - (22 - 5)*-2. Let 8 + 4*r**4 - j*r - 26*r**3 - 7*r**2 + r**4 - r**4 + 55*r**2 = 0. What is r?
1/2, 1, 4
Factor 0*k**2 + 2*k**4 - 1137*k**5 - 8*k**2 + 16*k + 1139*k**5 - 12*k**3.
2*k*(k - 2)*(k - 1)*(k + 2)**2
Factor -105*n**2 - 231*n**2 + 13*n**4 - 50*n**3 - n**5 + 3*n**5 + 882*n + 3*n**4 - 2*n**3.
2*n*(n - 3)**2*(n + 7)**2
Let o = 734 + -732. Let h(x) be the third derivative of 0*x + 1/70*x**7 + 0*x**4 + 6*x**o + 0*x**3 + 0*x**5 - 1/40*x**6 + 0. Factor h(m).
3*m**3*(m - 1)
Let o(p) be the second derivative of 9*p**6/10 + 213*p**5/80 - 49*p**4/16 - 13*p**3 - 15*p**2/2 - 2*p - 14. Let o(b) = 0. What is b?
-2, -1, -2/9, 5/4
Let 50*x**3 + 6*x**5 - 55*x - x**5 - 25 - 5 + 30*x**4 = 0. What is x?
-3, -2, -1, 1
Suppose 2*t + 8 = -s, -t + 2*t = s - 7. Let 2*c + 180 - 3*c**s - 62*c + 8*c**2 = 0. Calculate c.
6
Let j(g) be the second derivative of -3*g**7/133 - g**6/5 - 68*g**5/95 - 4*g**4/3 - 80*g**3/57 - 16*g**2/19 + 114*g. Suppose j(l) = 0. Calculate l.
-2, -1, -2/3
Suppose -6*t = -84 - 30. Let o = -17 + t. Factor 0 + 2/11*a**4 - 2/11*a**o + 0*a + 0*a**3.
2*a**2*(a - 1)*(a + 1)/11
Let p(t) = t**4 + 27*t**3 - 141*t**2 - 169*t - 2. Let g(m) = m**4 + m**3 + m**2 - 1. Let q(x) = -2*g(x) + p(x). Factor q(w).
-w*(w - 13)**2*(w + 1)
Let w = -16 + 39. Find i such that -10*i - w*i + 69*i**2 - 27*i + 12 - 21*i**3 = 0.
2/7, 1, 2
Let s(y) = -14 - 40*y - 9*y**3 + 97*y**2 - 141*y**2 - 9*y**3. Let m(w) = 37*w**3 + 88*w**2 + 80*w + 29. Let o(u) = 2*m(u) + 5*s(u). Factor o(g).
-4*(g + 1)**2*(4*g + 3)
Let n(g) be the second derivative of g**7/42 - 7*g**6/15 + 9*g**5/4 - 13*g**4/3 + 10*g**3/3 - 620*g. Factor n(c).
c*(c - 10)*(c - 2)*(c - 1)**2
Let g be 6/(-8) - (2625/(-204) + 12). Find a such that -98/17 + 28/17*a - g*a**2 = 0.
7
Let a(z) be the second derivative of -2*z**6/15 + 2*z**5/5 + 4*z**4 + 28*z**3/3 + 10*z**2 + 4*z - 42. Factor a(w).
-4*(w - 5)*(w + 1)**3
Let y(t) be the third derivative of -t**6/120 + t**5/60 - t**3/6 - 10*t**2. Let w(n) = -n**3 + 36*n**2 - 65*n + 34. Let p(r) = -w(r) - 4*y(r). Solve p(z) = 0.
1, 6
Let n(j) = j**3 + 10*j**2 + 8*j - 3. Let y be n(-9). Let c be y - (-28)/(-2 - 5). Let -3/7*p**3 - 15/7*p + 12/7*p**c + 6/7 = 0. Calculate p.
1, 2
Let w(a) be the second derivative of a**6/90 - 3*a**5/20 + 5*a**4/6 - 22*a**3/9 + 4*a**2 + 64*a. Factor w(t).
(t - 3)*(t - 2)**3/3
Let g = 15057 - 15055. Let 3/5*a + 3/5*a**g - 3/5 - 3/5*a**3 = 0. Calculate a.
-1, 1
Let i = 547/66 - 82/11. Let r(o) be the first derivative of 2*o**2 + 1/8*o**4 + i*o**3 + 4 + 2*o. Find y such that r(y) = 0.
-2, -1
Find n such that 75/4*n - 3/4 - 18*n**2 = 0.
1/24, 1
Let l be ((-8)/10)/((27/(-105))/9). Find r, given that -47*r - l*r**2 + 3*r - 20 - 8*r**3 + 4*r**3 = 0.
-5, -1
Suppose -11*p + 38 = 16. Let -5/3*f + 0 - 5/3*f**p = 0. What is f?
-1, 0
Let y(z) = z**3 - z. Let w(h) = 6*h**3 - 15*h**2 + 70*h - 20. Let s(n) = w(n) - 5*y(n). Let f(g) be the first derivative of s(g). Factor f(b).
3*(b - 5)**2
Find w such that -9/2*w + 7/2*w**4 - 71/2*w**2 - 55/2*w**3 + 0 = 0.
-1, -1/7, 0, 9
Let l = 76 - 72. Factor -689*g**2 + 5*g**4 - 15*g + 15*g**3 - 10 + 694*g**2 + 0*g**l.
5*(g - 1)*(g + 1)**2*(g + 2)
Let o be 25/(4/(-8)*-2). Suppose o = 2*k + 3*k. What is z in -8*z**3 + 4 - 5*z**5 + 5*z**5 + 6*z + 2*z**k - 4*z**2 = 0?
-1, 1, 2
Let f = 10343 + -