e the first derivative of a(r). Factor o(q).
(q - 3)*(2*q + 1)/7
Let m be 0 - (2/(-10) + 0). Let a(d) = 13*d**2 - 221*d - 234. Let i be a(18). Factor m*o**3 - o**2 + i + 0*o.
o**2*(o - 5)/5
Suppose -63*k = 33 - 159. Let g(f) be the first derivative of 3*f**4 - 31 + 4*f**3 + 3/5*f**5 + 0*f**k + 0*f. Factor g(z).
3*z**2*(z + 2)**2
Let u(n) be the second derivative of -1/72*n**6 - 14*n - 10/3*n**4 + 0 + 0*n**2 - 5/6*n**3 + 1/3*n**5. Let r(v) be the second derivative of u(v). Factor r(c).
-5*(c - 4)**2
Let f(v) be the first derivative of -v**3/8 + 2805*v**2/16 + 351*v - 2237. Factor f(x).
-3*(x - 936)*(x + 1)/8
Suppose -5*p + 43 = 2*l - 0*l, l = 4. Suppose -4*q + p*q - 6 = 0. Let 24 + 0*a**2 + 72*a - 456 - 3*a**q = 0. Calculate a.
12
Let y(v) be the second derivative of -128*v + 5/8*v**4 - 7/12*v**3 + 2 - 2*v**2. What is n in y(n) = 0?
-8/15, 1
Let w(i) = -32*i - 93. Let c be w(-3). Factor -5*v**c - v + 6 - v**2 + 0*v**2 - 10*v**2 + 2*v**2 - 3*v**2.
-(v + 1)*(v + 2)*(5*v - 3)
Let w be 1/((-3*(-5)/(-15630))/1). Let v = 5246/5 + w. Determine l so that -8/5 - 28/5*l**2 + v*l = 0.
2/7, 1
Suppose -716*j**3 + 8*j**2 - 2*j**4 + 348*j**3 + 372*j**3 - 16*j = 0. What is j?
-2, 0, 2
Suppose 0 + 1872/5*a**2 + 1/5*a**3 + 876096/5*a = 0. What is a?
-936, 0
Factor -12*y + 40*y**3 - 112 + 84*y**2 - 4*y - 5572*y**4 + 2789*y**4 + 2787*y**4.
4*(y - 1)*(y + 2)**2*(y + 7)
Suppose -2*k = 5*i - 52, 68*i + 120 = 4*k + 70*i. Suppose 33 + 29 = k*w. Factor 8*m**w - 16/3*m + 0 - 4*m**3 + 2/3*m**4.
2*m*(m - 2)**3/3
Let k(l) = 25*l**2 - 120*l - 1650. Let z(w) be the second derivative of w**4/12 + w**3/3 - w**2/2 + 135*w. Let f(h) = k(h) - 30*z(h). Factor f(u).
-5*(u + 18)**2
Let h(u) be the second derivative of -10 + u - 1/24*u**4 - 2*u**2 - 1/2*u**3. Find r, given that h(r) = 0.
-4, -2
Let r be 1/(-25) + (-65892)/(-32300). Factor 0 + 2/3*m**3 + 0*m + 6*m**r.
2*m**2*(m + 9)/3
Let y be 2/10*8 - 24/(-60). Let n(l) = -l**2 + 1. Let d(v) = -v**4 + 19*v**3 - 46*v**2 + 17*v + 11. Let q(u) = y*d(u) - 22*n(u). Factor q(x).
-2*x*(x - 17)*(x - 1)**2
Let r(a) be the first derivative of 2/3*a**3 - 38*a + 42 - 18*a**2. Suppose r(c) = 0. Calculate c.
-1, 19
Let f be (-8)/(3 + (-95)/15). Suppose -5 = 22*z - 27*z, -4*a = -3*z + 3. Factor 3/5*n + a - 12/5*n**2 + f*n**3.
3*n*(2*n - 1)**2/5
Suppose 8*k = 2*k + 120. Let l be (1 - (-1)/((-8)/k))*-2. Factor -12*p + p**l - 718*p**2 - 4*p**3 + 730*p**2.
-3*p*(p - 2)**2
Solve 30105*v + 2237805/2*v**2 + 270 + 55447835/4*v**3 = 0.
-6/223
Let g = -876 + 1425. Let f = g + -545. Suppose 8/7*h**3 + 4/7*h**2 - 8/7*h - 4/7*h**f + 0 = 0. What is h?
-1, 0, 1, 2
Let h = 10807 - 10803. Let k(c) be the third derivative of 0 - 1/330*c**5 - 1/264*c**h + 0*c - 7*c**2 - 1/1320*c**6 + 0*c**3. Suppose k(o) = 0. What is o?
-1, 0
Factor 28/3 + 1/6*t**2 - 5/2*t.
(t - 8)*(t - 7)/6
Let 2/3*b**5 + 152/3*b**4 + 0*b + 910*b**3 + 0 - 2028*b**2 = 0. Calculate b.
-39, 0, 2
Let o = 356 + -324. Determine h, given that 13*h**3 + 48*h**4 - 15*h**4 + 48*h**2 + 36*h - o*h**4 = 0.
-6, -1, 0
Factor -118*s**3 + 56*s**4 + 133*s**5 + 1193*s**2 - 1133*s**2 - 131*s**5.
2*s**2*(s - 1)**2*(s + 30)
Let f(l) = -l**2 + 9*l + 2. Let x(o) = -2*o + 30. Let u(r) = -4*f(r) + 4*x(r). Factor u(d).
4*(d - 7)*(d - 4)
Suppose 2*g - 6 = -14, 5*g = 4*m - 368. Suppose z - 87 = -m. Factor -4/21*y**4 + 0 + z*y**3 + 4/21*y**2 - 2/21*y**5 + 2/21*y.
-2*y*(y - 1)*(y + 1)**3/21
Factor -20/3*r**3 - 124*r + 1/3*r**4 + 139/3*r**2 + 84.
(r - 7)*(r - 6)**2*(r - 1)/3
Let o be 47/20 - ((-5580)/(-144) + -38) - (-7 + 7). Determine j, given that 2/5*j**3 - 8/5*j**2 + 0*j + 0 - 2/5*j**5 + o*j**4 = 0.
-1, 0, 1, 4
Let q(h) be the third derivative of 5*h**8/672 + h**7/42 - h**6/8 - h**5/3 + 25*h**4/48 + 5*h**3/2 - 1775*h**2. Find w, given that q(w) = 0.
-3, -1, 1, 2
Let c(m) = 39*m - 32. Let h be c(1). Let g(t) be the third derivative of 9*t**2 - 1/105*t**h + 0*t - 1/60*t**6 + 0*t**3 + 0 + 1/3*t**4 + 2/15*t**5. Factor g(i).
-2*i*(i - 2)*(i + 1)*(i + 2)
Let u(x) be the first derivative of 0*x**3 + 1/27*x**6 - 4/45*x**5 - 1/6*x**4 + 0*x - 44 + 0*x**2. Factor u(a).
2*a**3*(a - 3)*(a + 1)/9
Suppose -5*u + 95 = 15. Factor 8*f**2 - 751 + 2*f**2 + 2*f**3 + 759 + u*f.
2*(f + 1)*(f + 2)**2
Let u(k) be the first derivative of k**5/40 - 7*k**4/24 + k**3/2 + 28*k - 91. Let a(z) be the first derivative of u(z). Factor a(m).
m*(m - 6)*(m - 1)/2
Let m(u) = -u**2 + 25*u - 141. Let i be m(16). Suppose -8 = -3*l - 2. Factor 2 + 4*j**i - 36*j**l - 80 - 30 + 108*j.
4*(j - 3)**3
Let u(w) be the first derivative of -2*w**5/55 - 8*w**4/11 + 24*w**3/11 + 2068. Factor u(n).
-2*n**2*(n - 2)*(n + 18)/11
Let p(g) be the third derivative of -194672*g**6/5 + 4232*g**5/5 - 23*g**4/3 + g**3/27 + g**2 + 1353*g. Factor p(u).
-2*(276*u - 1)**3/9
Let j(y) be the third derivative of -y**8/1176 - 4*y**7/147 + 43*y**6/420 - 11*y**5/105 - 2*y**2 - 2533*y + 1. Factor j(v).
-2*v**2*(v - 1)**2*(v + 22)/7
Let u = 384643 + -3461785/9. Suppose -4/9*l**2 + 8/3*l**3 - 8/9*l**4 - 22/9*l - u*l**5 + 4/3 = 0. What is l?
-6, -1, 1
Let y(j) = 8*j**2 - 167*j + 177. Let w(p) be the second derivative of p**4/6 - 7*p**3 + 22*p**2 - 7*p - 5. Let m(i) = -18*w(i) + 4*y(i). What is d in m(d) = 0?
1, 21
Let m(f) be the second derivative of f**8/6720 + f**7/8820 - f**4/3 - 2*f**2 - 58*f. Let c(u) be the third derivative of m(u). Determine a so that c(a) = 0.
-2/7, 0
Factor -1052/3*h**2 + 0 + 553352/3*h + 1/6*h**3.
h*(h - 1052)**2/6
Let q(v) = -v**3 + 8. Let z(d) = 86*d**3 + 2180*d**2 + 14092*d - 692. Let o(n) = 2*q(n) + z(n). Suppose o(a) = 0. What is a?
-13, 1/21
Factor -3580*a**3 + 1199*a**3 - 205*a**2 + 1190*a**3 + 2205 + 1995*a + 1196*a**3.
5*(a - 21)**2*(a + 1)
Let a(c) be the third derivative of 0*c - 60*c**2 + 1/180*c**5 + 128/9*c**3 - 4/9*c**4 + 0. Suppose a(u) = 0. Calculate u.
16
Factor 45*o**4 + 96*o**3 + 20*o**4 - 576*o**2 - 69*o**4.
-4*o**2*(o - 12)**2
Factor 0*t + 0 + 33/8*t**3 - 3/8*t**4 + 9/2*t**2.
-3*t**2*(t - 12)*(t + 1)/8
Let j(l) be the third derivative of l**8/1008 - l**7/315 - 31*l**6/360 - 7*l**5/45 - 619*l**2. Factor j(p).
p**2*(p - 7)*(p + 1)*(p + 4)/3
Let z(y) = 17*y**2 - 2264*y + 402. Let n be z(133). Factor 5/4 + 2*a**n + 4*a + 9/2*a**2 + 1/4*a**4.
(a + 1)**3*(a + 5)/4
Suppose 336/11 + 2/11*o**4 + 520/11*o + 276/11*o**2 + 54/11*o**3 = 0. What is o?
-21, -2
Let d(g) be the third derivative of 65/2*g**4 + 0*g + 0 - 845/4*g**5 + 91*g**2 - 2*g**3. Determine z so that d(z) = 0.
2/65
Let g(s) be the first derivative of 0*s + 3*s**4 + 0*s**2 + 16/3*s**3 - 4/5*s**5 - 12. Find q, given that g(q) = 0.
-1, 0, 4
Let h(r) be the first derivative of 2/9*r - 2/3*r**2 + 18 - 2/9*r**4 + 2/3*r**3. Suppose h(o) = 0. Calculate o.
1/4, 1
Let v(f) be the first derivative of 12*f**5/25 + 93*f**4/20 - 11*f**3/5 - 36*f**2/5 + 4822. Solve v(b) = 0 for b.
-8, -3/4, 0, 1
Let r = -356613391210/3519 - -101339411. Let p = 1/391 - r. Find i such that -4/9*i**2 - 8/9*i**4 + 2/9*i**5 + 0 + 0*i + p*i**3 = 0.
0, 1, 2
Let m(k) be the third derivative of 2*k**7/105 - 11*k**6/30 + 17*k**5/15 + 71*k**4/6 + 28*k**3 - 205*k**2 - 5. Suppose m(t) = 0. Calculate t.
-1, 6, 7
Let l(g) = -31*g**2 + 938*g - 835. Let t(r) = 30*r**2 - 912*r + 834. Let s(b) = 2*l(b) + 3*t(b). Solve s(q) = 0.
1, 208/7
Let f(b) be the second derivative of b**7/1260 + b**6/30 - 3*b**5/4 + 95*b**4/6 + 160*b. Let v(u) be the third derivative of f(u). Determine p so that v(p) = 0.
-15, 3
Let g = 722 - 710. Let p(r) = r**2 - 6*r + 7. Let i be p(6). Suppose -i + 7 - 3*l**2 + g = 0. What is l?
-2, 2
Suppose 436*n + 394 = 633*n. Determine p so that -4/7*p**3 - 8/7*p**4 + 0*p**n - 4/7*p**5 + 0*p + 0 = 0.
-1, 0
Let f = 211992 - 635972/3. Factor f*u**3 + 4/3*u**2 + 0*u + 0.
4*u**2*(u + 1)/3
Let k(g) = -7*g + 30. Let l be k(4). Suppose -5*z - l*z = -27*z. Factor z + 6/5*o**2 - 3/5*o - 3/5*o**3.
-3*o*(o - 1)**2/5
Factor 59*f + 713*f - f**2 - 36*f.
-f*(f - 736)
Let p(u) = 3*u**3 + 556*u**2 - 6720*u + 18023. Let v(f) = -f**3 - 137*f**2 + 1680*f - 4506. Let q(m) = 6*p(m) + 23*v(m). Factor q(g).
-5*(g - 25)*(g - 6)**2
Find r, given that 0*r - 3/2*r**3 + 0 + 1/2*r**5 - r**2 + 0*r**4 = 0.
-1, 0, 2
Let z(l) = l**3 + l**2 + 4*l - 2. Let d be z(3). Let 191*i**3 + 10*i - 8*i + 288 + d*i - 40*i**2 - 187*i**3 = 0. Calculate i.
-2, 6
Let z(c) be the first d