w**3 - 152*w. Determine a, given that p(a) = 0.
-2, -1, 0
Let a(c) be the third derivative of c**7/14 - 7*c**6/24 + 5*c**5/12 - 5*c**4/24 - 45*c**2 + 2*c. Factor a(f).
5*f*(f - 1)**2*(3*f - 1)
Let u(q) be the first derivative of -q**5/15 + 3*q**4/4 - 3*q**3 + 9*q**2/2 - 403. Factor u(t).
-t*(t - 3)**3/3
Factor -249*z**3 + 882*z + 2324*z**3 + 796*z**3 + 3444*z**2 - 328*z**4 + 323*z**3 + 8*z**5.
2*z*(z - 21)**2*(2*z + 1)**2
Let v be (-3 - 2)*(-64)/(-40). Let s = 22 + v. Let -s*p**4 + 11*p**4 - 7*p**3 - 9*p**2 - 2*p**3 - 3*p = 0. Calculate p.
-1, 0
Let c = 1249/310 - 225/62. Factor 4/5*u - 2/5*u**2 - c.
-2*(u - 1)**2/5
Let w(l) be the first derivative of 35*l**6/6 + 2*l**5 - 245*l**4/4 + 140*l**3/3 + 30*l**2 + 123. Find u, given that w(u) = 0.
-3, -2/7, 0, 1, 2
Solve -3*s**2 + 0*s**2 + 15*s**3 + 8*s**2 - 20*s**3 = 0.
0, 1
Let s(g) be the third derivative of -3*g**8/224 - 47*g**7/420 - 41*g**6/120 - 13*g**5/30 - g**4/6 - g**2 - g. Suppose s(z) = 0. Calculate z.
-2, -1, -2/9, 0
Let s(y) be the first derivative of -y**3/3 + 14*y**2/3 - 3*y + 64. What is r in s(r) = 0?
1/3, 9
Factor 0 - 16/5*c**4 + 10*c + 16*c**2 + 2/5*c**5 + 12/5*c**3.
2*c*(c - 5)**2*(c + 1)**2/5
Solve -o**2 - 51*o - 34*o + 10249 - 5123 - 5126 = 0 for o.
-85, 0
Let h(w) be the first derivative of -w**3/30 + 21*w**2/10 - 41*w/10 + 365. Factor h(x).
-(x - 41)*(x - 1)/10
Let o(a) be the third derivative of -49/27*a**3 - 34*a**2 - 7/54*a**4 + 0 - 1/270*a**5 + 0*a. Factor o(s).
-2*(s + 7)**2/9
Let u(r) be the second derivative of 5*r**7/42 + 2*r**6/3 + 3*r**5/2 + 5*r**4/3 + 5*r**3/6 + 35*r. Factor u(v).
5*v*(v + 1)**4
Factor 3*p**4 - 28*p**3 + 12*p - 12*p + p**4.
4*p**3*(p - 7)
Let x(v) be the third derivative of 0*v**4 - 12*v**2 - 1/168*v**6 - 1/2352*v**8 + 0*v + 0*v**3 - 2/735*v**7 + 0 - 1/210*v**5. Determine g, given that x(g) = 0.
-2, -1, 0
Factor -8*g**2 - 84*g**3 + 2*g**2 - 81 + 3*g**4 + 78*g**2 - 32*g + 116*g + 6*g**2.
3*(g - 27)*(g - 1)**2*(g + 1)
Let j(w) be the first derivative of w**9/9072 + w**8/5040 - w**7/2520 - w**6/1080 - 3*w**3 + 7. Let r(x) be the third derivative of j(x). Factor r(n).
n**2*(n - 1)*(n + 1)**2/3
Let y = -316 + 328. Let f be y/9 + (-5 - (1 + -5)). Factor 1/3*r**2 + 2/3*r**3 + f*r**4 + 0 + 0*r.
r**2*(r + 1)**2/3
Let s(d) = -d**2 + d + 3. Let f be s(0). Let b = 241 + -237. Solve u**b + u**2 - 2*u**f + u**3 - u**3 = 0.
0, 1
Let i(f) be the second derivative of -7*f**6/30 - 51*f**5/20 - 91*f**4/12 - 19*f**3/2 - 5*f**2 - 26*f. Solve i(c) = 0 for c.
-5, -1, -2/7
Let m(o) be the first derivative of o**7/210 + 2*o**6/45 - o**5/30 - 2*o**4/3 - 4*o**3 - 4. Let s(q) be the third derivative of m(q). Factor s(g).
4*(g - 1)*(g + 1)*(g + 4)
Let x(l) be the third derivative of -l**5/300 - 9*l**4/20 + 11*l**3/6 + 6*l**2 - 13*l. Factor x(z).
-(z - 1)*(z + 55)/5
Find h, given that -19*h**2 + h**3 - 41*h**2 + 1005*h - 48*h - 1682 = 0.
2, 29
Let c = -96278/5 + 19256. What is l in 4*l + c*l**2 + 10 = 0?
-5
Factor 385/6*c**2 + 30*c + 10/3.
5*(7*c + 2)*(11*c + 2)/6
Let m(p) = -p**3 - 25*p**2 + 26*p + 4. Let u be m(-26). Solve -u*s**2 + 0*s**3 + 25*s + 4*s**3 - 33*s + 0*s**2 = 0.
-1, 0, 2
Factor -97*a**2 + 69*a**2 + a - 9*a - 20*a**3.
-4*a*(a + 1)*(5*a + 2)
Factor 4*h**4 + 40*h**3 + 0*h**4 - 4*h**4 + 4*h**4 + 60 + 152*h + 128*h**2.
4*(h + 1)**2*(h + 3)*(h + 5)
Let h(x) = -7*x**2. Let y(p) = -76*p**2. Let v be ((-40)/(-14))/(20/70). Let d be (v - 1)*8/24. Let o(a) = d*y(a) - 32*h(a). Solve o(r) = 0.
0
Let j(g) be the first derivative of -2*g**6/21 + g**5/35 + g**4/2 + 19. Factor j(q).
-q**3*(q - 2)*(4*q + 7)/7
Let b(f) be the third derivative of -1/540*f**6 + 0*f**4 + 0 + 0*f**3 - 4*f**2 + 0*f**5 + 0*f. Determine u, given that b(u) = 0.
0
Let w(p) = 2*p + 16. Let j be w(-10). Let m be 4/3 - j/6. Factor -1 + 3*h - 8*h**2 - 2 + 6*h + 2*h**m.
-3*(h - 1)*(2*h - 1)
Suppose -11/5*x - 3/5*x**5 - 2/5*x**2 + x**4 + 14/5*x**3 - 3/5 = 0. What is x?
-1, -1/3, 1, 3
Factor 8/7*g**4 + 0*g**2 + 0*g + 0 - 2/7*g**5 - 8/7*g**3.
-2*g**3*(g - 2)**2/7
Let j(l) = 7*l**3 + 517*l**2 + 5403*l + 1323. Let k(b) = 27*b**3 + 2070*b**2 + 21609*b + 5292. Let u(s) = 21*j(s) - 5*k(s). Factor u(o).
3*(o + 21)**2*(4*o + 1)
Let o be ((-3)/4)/(24/(-160)). Factor 5*i**4 + 17 - 5*i**o - 1 - 16.
-5*i**4*(i - 1)
Let x be 3 + -2*(-3)/(-6). Factor 0*j**4 + 3*j**5 + x*j**4 - 3*j**3 - 2*j**4.
3*j**3*(j - 1)*(j + 1)
Let o be -7 + (-5 - (-25)/2). Let q(k) be the second derivative of 1/2*k**4 + 0 + 0*k**2 - o*k**3 + 0*k**5 - 1/5*k**6 - 3*k + 1/14*k**7. Factor q(x).
3*x*(x - 1)**3*(x + 1)
Suppose 21*u + 45 = -39. Let f be (11*22/605)/(u/(-5)). Suppose -1/4*k**3 - 3/4*k**2 + 0 - f*k = 0. Calculate k.
-2, -1, 0
Factor 35/4*g - 11/4*g**2 + 1/4*g**3 - 25/4.
(g - 5)**2*(g - 1)/4
Factor 42*x - 12 + 93/4*x**2 + 3*x**3.
3*(x + 4)**2*(4*x - 1)/4
Suppose 2*w - 18 = -12. Suppose w*r = -0*r + 12. Let 0*d**2 + 1/4*d**3 + 0*d + 5/4*d**r + d**5 + 0 = 0. What is d?
-1, -1/4, 0
Suppose 1/5*x**4 - 3/5*x + 3/5*x**3 - 1/5*x**2 + 0 = 0. Calculate x.
-3, -1, 0, 1
Let d(y) be the second derivative of y**6/315 - 16*y**5/105 + 58*y**4/63 - 16*y**3/9 + 235*y. Suppose d(l) = 0. Calculate l.
0, 2, 28
Let o(n) = 2*n + 6. Let q(y) = -4*y - 11. Let h(w) = -5*o(w) - 3*q(w). Let c be h(0). Find j such that 1/3 - j**4 + 2/3*j**2 + 2/3*j**c + 1/3*j**5 - j = 0.
-1, 1
Let m = 23199 + -69595/3. Let 0 - m*y**3 + 4/3*y**4 - 16/3*y**2 + 8/3*y = 0. Calculate y.
-2, 0, 1/2, 2
Determine x so that 22*x**2 + 73 - 15254*x - 23*x**2 + 15182*x = 0.
-73, 1
Let v(n) = n + 3. Let i be v(-3). Suppose -26*m + 16*m + 40 = -0*m. Let i - y - 1/2*y**m + 3/2*y**2 + 0*y**3 = 0. Calculate y.
-2, 0, 1
Suppose 0 = -2*b - 0 + 12. Factor -9*n**3 + n**3 + n**2 + 5*n + 3*n**3 - b*n**2 + 5.
-5*(n - 1)*(n + 1)**2
Let u(i) be the second derivative of -1/50*i**5 + 0 + 3/5*i**2 + 1/15*i**3 - 2*i - 1/10*i**4. Factor u(c).
-2*(c - 1)*(c + 1)*(c + 3)/5
Let q = -60 + 62. Solve 4*z - 5*z**3 - 30*z**q - 5*z + 37*z**2 - z = 0.
0, 2/5, 1
Let h(u) be the third derivative of u**7/210 - 23*u**6/40 + 529*u**5/20 - 12167*u**4/24 + 112*u**2. Solve h(c) = 0.
0, 23
Let z(a) be the first derivative of -8 + 0*a**2 + 8/5*a - 2/15*a**3. Factor z(h).
-2*(h - 2)*(h + 2)/5
Let m(g) be the first derivative of g**3/9 + 25*g**2/3 + 625*g/3 + 58. Factor m(a).
(a + 25)**2/3
Determine t, given that 1785*t + 0*t**3 + 30*t**2 + 1778*t - 3599*t - 64 + 2*t**3 = 0.
-16, -1, 2
Suppose 0 = -176*t + 488*t - 157 - 467. What is p in 0 + 9/5*p**t - 3/5*p**3 + 0*p = 0?
0, 3
Factor 144/5*y + 2592/5 + 2/5*y**2.
2*(y + 36)**2/5
Suppose -3*k + 8 = k. Suppose 0 = k*x + 2*x, 0 = 2*p - 3*x. Factor -1/3*h + p - 1/3*h**2.
-h*(h + 1)/3
Let o(x) be the third derivative of -x**7/504 + x**6/24 + 13*x**4/24 + 21*x**2. Let i(l) be the second derivative of o(l). Factor i(n).
-5*n*(n - 6)
Let y(t) be the first derivative of 2*t**3/27 - 23*t**2/3 - 284*t/9 - 362. What is v in y(v) = 0?
-2, 71
Let z(v) be the first derivative of 2*v**3/3 - 15*v**2 - 26. Find n such that z(n) = 0.
0, 15
Let 0 + 8/3*w + 10/3*w**2 + 2/3*w**3 = 0. Calculate w.
-4, -1, 0
Let r(m) be the first derivative of -18*m + 6/5*m**5 - 1/6*m**6 - 3/2*m**4 + 39/2*m**2 - 19 - 20/3*m**3. Find s, given that r(s) = 0.
-2, 1, 3
Let m(i) be the second derivative of i**6/180 + 2*i**5/15 + 4*i**4/3 - 5*i**3/2 - 13*i. Let g(s) be the second derivative of m(s). Factor g(w).
2*(w + 4)**2
Let c(m) be the third derivative of 0 + 30*m**2 + 0*m + 1/24*m**4 + 1/360*m**6 - 1/60*m**5 - 1/18*m**3. Determine i so that c(i) = 0.
1
Let n = 49 + -31. Let x = n + -4. What is a in -18*a**2 + x*a + 3*a**3 + a - 6 + 6*a**2 = 0?
1, 2
Let n be (1/(-12))/((-50)/(-1790)) - -3. Let m(i) be the third derivative of n*i**6 + 0*i + 1/6*i**5 + 5*i**2 + 2/3*i**4 + 0 + 4/3*i**3. Factor m(y).
2*(y + 1)*(y + 2)**2
Let l(t) be the first derivative of -6 - 1/48*t**6 - 9/16*t**2 + 1/4*t + 2/3*t**3 - 7/16*t**4 + 3/20*t**5. Determine w, given that l(w) = 0.
1, 2
Suppose 176*u - 34*u - 100 = 92*u. Factor -1/6*k**u - 1 - 5/6*k.
-(k + 2)*(k + 3)/6
Let p(s) be the third derivative of s**6/540 - 8*s**5/135 + 13*s**4/108 + 10*s**3/9 - 221*s**2. Factor p(k).
2*(k - 15)*(k - 2)*(k + 1)/9
Suppose -26*f**3 - 74*f**4 + 72*f + 72*f**4 + 2*f**2 - 57*f**2 - 29*f**2 + 432 = 0. Calculate f.
-6, -3, 2
Suppose -7*a = -3*a + 4, a = 2*n - 1. Suppose 0*