6*z**2. Factor k(a).
-(a - 8)**2*(a + 3)/5
Determine v, given that -2/7*v**3 - 416/7 - 96/7*v**2 + 408/7*v = 0.
-52, 2
Let n = -7/25 - -46/75. Let f(i) be the first derivative of 8 + 1/2*i**2 - 1/4*i**4 + i - n*i**3. Factor f(v).
-(v - 1)*(v + 1)**2
Let z(n) be the third derivative of n**7/1155 - n**6/220 - n**5/165 + n**4/11 - 8*n**3/33 + 5*n**2 - 5*n. Let z(o) = 0. What is o?
-2, 1, 2
Let k be (46 - 4)*16/6. Let t be 32/k*14/6. Factor -t*a**4 + 2/3 + 0*a**2 + 4/3*a - 4/3*a**3.
-2*(a - 1)*(a + 1)**3/3
Let q(h) be the third derivative of -h**5/15 - 7*h**4/3 + 80*h**3 + 692*h**2. Factor q(f).
-4*(f - 6)*(f + 20)
Let r(b) be the second derivative of -b**8/2240 - b**7/280 - b**6/80 - b**5/40 - 5*b**4/2 - 34*b. Let j(w) be the third derivative of r(w). Factor j(z).
-3*(z + 1)**3
Let p(a) be the first derivative of 1/40*a**5 + 0*a + 1/24*a**3 + 4 - 3/64*a**4 + 7/2*a**2 - 1/192*a**6. Let y(l) be the second derivative of p(l). Factor y(j).
-(j - 1)**2*(5*j - 2)/8
Let r(d) be the second derivative of d**4/4 + d**3/2 - 3*d**2 - 53*d - 2. Factor r(x).
3*(x - 1)*(x + 2)
Solve -16/3 - 2/9*u**2 + 22/9*u = 0 for u.
3, 8
Let p = 4705/148 + -723/37. Let -p - 1/4*g**2 - 7/2*g = 0. What is g?
-7
Solve -4*z - 16/7*z**2 + 6/7 + 4*z**3 + 10/7*z**4 = 0 for z.
-3, -1, 1/5, 1
Let i be ((-57)/2)/(-3) + (-90)/(-405)*-36. Suppose 3/2*c**4 + i*c**3 - 3/2*c**2 - 3/2*c**5 + 0 + 0*c = 0. Calculate c.
-1, 0, 1
Let s = 21 + -25. Let f(v) = -3*v**2 + 6*v + 1. Let h(l) = -3*l**2 + 6*l + 2. Let u(y) = s*h(y) + 5*f(y). Determine b, given that u(b) = 0.
1
Let l = -1020 - -1024. Factor 8/3*x - 2*x**3 + 0*x**2 + 2/3*x**l + 0.
2*x*(x - 2)**2*(x + 1)/3
Let s = -819 - -823. Let k(c) be the second derivative of 0 - 7*c - 1/3*c**3 + 1/12*c**s + 1/2*c**2. Factor k(z).
(z - 1)**2
Let p(n) be the third derivative of n**7/420 - n**6/90 - n**5/20 - 5*n**3/3 + 14*n**2. Let c(z) be the first derivative of p(z). Factor c(l).
2*l*(l - 3)*(l + 1)
Let g(a) be the first derivative of -7 + 5*a + 0*a**5 - 1/60*a**6 + 0*a**2 + 1/24*a**4 + 0*a**3. Let u(d) be the first derivative of g(d). Factor u(c).
-c**2*(c - 1)*(c + 1)/2
Suppose 0 = -4*o - 2*q + 16, 0*q + 2*q = 4. Suppose 0*p**3 - o*p**3 + p**3 - 6*p**3 - 4*p**2 - 4*p**4 = 0. Calculate p.
-1, 0
Suppose -3*j = -4*j + 3. Let o(x) be the first derivative of 1/5*x**j - 6/5*x - 3/10*x**2 + 4. Let o(t) = 0. Calculate t.
-1, 2
Let q be (-69)/(-115) - (1 + 126/(-15)). Suppose -3*r = 2*t, -13*t = -q*t - r. What is k in -62/3*k**4 - 136/3*k**2 + t - 308/3*k**3 - 16/3*k + 42*k**5 = 0?
-1, -2/7, -2/9, 0, 2
Let w be 2 - ((-22)/(-176) + (-30)/(-16)). Let h(z) be the third derivative of -z**2 + 1/2*z**3 + w*z - 1/40*z**5 - 1/16*z**4 + 0. Factor h(a).
-3*(a - 1)*(a + 2)/2
Let p(i) be the third derivative of i**6/120 - i**5/40 - 7*i**3/3 - i**2. Let d(o) be the first derivative of p(o). Factor d(j).
3*j*(j - 1)
Let l be (1/4 - (-52)/(-16)) + (-260)/(-78). Let -l - 1/2*p - 1/6*p**2 = 0. Calculate p.
-2, -1
Let l be -1*1*6/(-30). Suppose 14*g = -72 + 100. Factor 6/5*q**g - l*q + 0 - q**3.
-q*(q - 1)*(5*q - 1)/5
Suppose -14 = -r - 7. Suppose -r = 3*w - 4*w. Factor 6*p + w + 3*p**2 - 3 + 3 - 4.
3*(p + 1)**2
Let q(r) be the second derivative of r**4/48 + 5*r**3/6 - 69*r**2/8 - 227*r. What is m in q(m) = 0?
-23, 3
Let m(v) be the first derivative of 9*v**5/35 - 15*v**4/7 - 96*v**3/7 - 72*v**2/7 + 240*v/7 - 36. What is y in m(y) = 0?
-2, 2/3, 10
Let b(n) be the first derivative of n**3/9 - n**2/6 - 14*n + 151. Factor b(o).
(o - 7)*(o + 6)/3
Let l be ((-20)/177)/(77/(-264)). Let m = -6/59 + l. Find i, given that 4/7 + 6/7*i + m*i**2 = 0.
-2, -1
Suppose 162/5*s**3 + 123*s**2 + 60 + 756/5*s + 3/5*s**4 = 0. What is s?
-50, -2, -1
Let q be 70/(-616)*2/(-15). Let c(u) be the second derivative of 0 - 4/11*u**2 - 4/33*u**3 - q*u**4 - 11*u. Determine h, given that c(h) = 0.
-2
Suppose 0 = y - 3*y + 8. Suppose -2*d = 3*j - 25, -3*j - 2*j + 15 = -2*d. What is g in -7*g**2 + j*g**3 + 27*g**4 - 12*g - 2*g**2 + 12 - 24*g**y + g**3 = 0?
-2, 1
Suppose 0 = 12*i - 334 + 310. Solve 8/5 - 2/5*u**i - 6/5*u = 0 for u.
-4, 1
Factor -243 + 243 + 4*h**4 - 25*h - 14*h**3 + 2*h**5 + h - 40*h**2.
2*h*(h - 3)*(h + 1)*(h + 2)**2
Let s be 5 - ((4 - 2) + 0). Factor 15*y**4 - 10*y + 7*y**5 - 15*y**2 - 12*y**5 + 10*y**5 + 5*y**s.
5*y*(y - 1)*(y + 1)**2*(y + 2)
Let c be (30/(-36))/(1/(-6)). Factor -z**2 + 6*z + 2*z**2 - c*z**2.
-2*z*(2*z - 3)
Factor -34*g**3 - 160*g**3 + 28*g**4 - 781*g**2 - 216 + 1465*g**2 - 540*g - 50*g**3.
4*(g - 3)**3*(7*g + 2)
Let i(d) be the second derivative of d**9/30240 + d**8/53760 - d**7/5040 - d**6/5760 - 29*d**4/12 + 21*d. Let w(j) be the third derivative of i(j). Factor w(u).
u*(u - 1)*(u + 1)*(4*u + 1)/8
Let t be 2845/5121*-2*(-6)/4. Find y such that 25/3*y + 20/3 + t*y**2 = 0.
-4, -1
Suppose 19/2*c**2 - 5/4*c**4 + 7/4*c**3 + 6 - 19*c = 0. Calculate c.
-3, 2/5, 2
Let y(o) be the first derivative of -65*o**6/24 - 5*o**5 - 5*o**4/16 + 5*o**3/2 - 95. Solve y(f) = 0.
-1, 0, 6/13
Let y(f) be the second derivative of -f**7/231 + 26*f**6/165 - 6*f**5/5 - 55*f**4/3 + 847*f**3/3 - f - 84. Factor y(a).
-2*a*(a - 11)**3*(a + 7)/11
Let o(w) = -10*w**5 - 34*w**4 - 2*w**3 + 111*w**2 - 79*w + 7. Let b(g) = 3*g**5 + 11*g**4 + g**3 - 37*g**2 + 26*g - 2. Let a(x) = 7*b(x) + 2*o(x). Factor a(l).
l*(l - 1)**2*(l + 3)*(l + 8)
Suppose -23*d + 20*d = 0. Let n(x) be the third derivative of 0*x**4 + d + 0*x**3 - 1/336*x**8 + 3*x**2 - 1/120*x**6 + 0*x**5 + 1/105*x**7 + 0*x. Factor n(v).
-v**3*(v - 1)**2
Let o = -37 + 40. Suppose o*v - 21 = -12. Let 39/5*r**2 + 12/5 + 3/5*r**4 + 36/5*r + 18/5*r**v = 0. Calculate r.
-2, -1
Let k(t) be the first derivative of -t**8/1680 + t**7/210 - t**6/120 + 13*t**3/3 + 19. Let z(n) be the third derivative of k(n). Solve z(w) = 0.
0, 1, 3
Let o(v) = -v**3 + v**2 + v. Let f(h) be the second derivative of 1/2*h**4 + 5*h - 1/10*h**5 + 0 - 1/2*h**2 + 1/3*h**3. Let y(s) = -f(s) + 5*o(s). Factor y(p).
-(p - 1)*(p + 1)*(3*p + 1)
Let z(k) be the second derivative of k**7/8820 + k**6/252 + 3*k**5/140 + k**4/12 - k**3/6 - 3*k + 7. Let w(d) be the third derivative of z(d). Solve w(c) = 0.
-9, -1
Let q(j) be the third derivative of j**5/120 + j**4/6 - 59*j**2. Find p, given that q(p) = 0.
-8, 0
Let n be (-4)/(-3) - (-174)/(-261). Factor 5/3*o**3 + 2/3 - 5/3*o - n*o**2.
(o - 1)*(o + 1)*(5*o - 2)/3
Let g(c) = -4*c + 158. Let k be g(39). Find a such that -6 + 6*a - 3/2*a**k = 0.
2
Let h = 137558/897 - 6/299. Let g = -152 + h. Let -7/2*s**3 + 6*s**4 + g - 17/3*s**2 + 2/3*s + 9/2*s**5 = 0. Calculate s.
-1, -2/3, 2/3
Let u(w) be the second derivative of -w**5/5 + 2*w**4/3 + 8*w**3/3 - 16*w**2 + 27*w. Factor u(m).
-4*(m - 2)**2*(m + 2)
Let f(d) be the first derivative of -d**5/40 + d**4/8 - d**2 - 5*d + 16. Let c(b) be the first derivative of f(b). Factor c(w).
-(w - 2)**2*(w + 1)/2
Let k(d) be the first derivative of 3*d**4/28 + 19*d**3/7 + 51*d**2/7 - 228. Factor k(j).
3*j*(j + 2)*(j + 17)/7
Factor -18*h**3 + 0*h - 3/2*h**4 + 0 + 39/2*h**2.
-3*h**2*(h - 1)*(h + 13)/2
Suppose -77*c + 119*c - 5*c**2 + 116*c + 44*c + 3*c**2 = 0. Calculate c.
0, 101
Determine g, given that 34/9*g - 20/3 - 2/9*g**2 = 0.
2, 15
Let o(k) be the first derivative of -k**8/1008 + k**6/216 + 10*k**3/3 + 3. Let l(d) be the third derivative of o(d). Suppose l(f) = 0. Calculate f.
-1, 0, 1
Factor -112/3*r - 100/3*r**2 + 4/3*r**3 + 208/3.
4*(r - 26)*(r - 1)*(r + 2)/3
Let x(c) = -c + 11. Suppose -5*h = -4*d - 32, -3*h + 3*d = -21 + 3. Let j be x(h). Factor 5*u + 2*u**3 - 4*u**3 - 6*u + j*u.
-2*u*(u - 1)*(u + 1)
Let a(r) = 16*r**2 + 18*r + 14. Let k(y) = -10*y**2 - 4 - 2*y + 8*y**2 - 4*y - 3*y**2. Let v(q) = 2*a(q) + 7*k(q). What is x in v(x) = 0?
-2, 0
Let n be 0/((-2)/28*-7*-2). Let i(m) be the second derivative of -1/2*m**4 - m**2 + 1/10*m**5 + n + 10*m + m**3. Solve i(p) = 0.
1
Let r(l) = -7*l**2 + 4*l - 1. Let f(o) = 6*o**2 - 5*o + 8 - 21 + 2*o**2 + 15. Let n(c) = -4*f(c) - 5*r(c). Let n(d) = 0. What is d?
-1, 1
Let c(d) = 2*d**2 - 12*d + 3. Let o be c(6). Determine f, given that -10*f**4 - 10*f**o + f**2 + 8*f**3 + 11*f**4 = 0.
0, 1
Let q(p) be the third derivative of -p**8/2940 - p**7/980 + p**5/420 + 5*p**3/3 + 6*p**2. Let i(m) be the first derivative of q(m). Factor i(z).
-2*z*(z + 1)**2*(2*z - 1)/7
Determ