rivative of -j**6/420 + j**5/105 + 5*j**4/28 - 12*j**3/7 + 245*j**2. Let w(r) = 0. Calculate r.
-4, 3
Factor 6*j - 16*j**3 - 900*j**4 - 30 + 11*j - 9*j**3 + 895*j**4 + 8*j + 35*j**2.
-5*(j - 1)**2*(j + 1)*(j + 6)
Let q = 119 - 118. Let c be (75/(-20))/q*(-8)/20. What is x in 3*x + c*x**4 - 3/2 + 0*x**2 - 3*x**3 = 0?
-1, 1
Let w be (-34)/(-12) + 16/96. Factor 2*a**2 + 4*a**5 + 0*a**2 - 2*a**5 + 4*a**2 - 2*a**w - 6*a**4.
2*a**2*(a - 3)*(a - 1)*(a + 1)
Suppose -4*m + 29 = 3*h, -h - 6*m + 13 = -4*m. Let c(y) be the first derivative of -1/3*y**h + 1/2*y**2 + 6 + 0*y. Factor c(t).
-t*(t - 1)
Let d be (2/336)/(-3 + 55/10). Let w(b) be the third derivative of 0*b**3 + 9*b**2 + 0 + 0*b + 1/12*b**4 + 1/15*b**5 + d*b**7 + 1/48*b**6. Factor w(p).
p*(p + 1)*(p + 2)**2/2
Let d(c) = 6 + 1 - 2 - c**5 + 5*c**5. Let g(t) be the first derivative of 2*t**6/3 + 4*t - 27. Let u(n) = 4*d(n) - 5*g(n). Solve u(f) = 0 for f.
0
Let i(v) be the first derivative of -v**8/280 + v**7/105 + v**6/180 - v**5/30 - 4*v**3/3 - 12. Let o(d) be the third derivative of i(d). Factor o(y).
-2*y*(y - 1)**2*(3*y + 2)
Let k be (3 - 35/15)*(-18)/(-4). Factor 9*i**2 + 9*i**2 - 5*i**5 - 10*i**k - 18*i**2 - 15*i**4.
-5*i**3*(i + 1)*(i + 2)
Let j = -5/317 - -352/2219. Factor -1/7*s**2 - j*s + 0.
-s*(s + 1)/7
Let a be 2 + 7 + ((-441)/(-105) - 104/8). Factor 0 + a*c**5 - 1/5*c**3 + 2/5*c**2 - 2/5*c**4 + 0*c.
c**2*(c - 2)*(c - 1)*(c + 1)/5
Let k = 446 + -8917/20. Let o(v) be the second derivative of -1/14*v**7 - 5*v - k*v**5 + 0*v**2 + 7/30*v**6 + 0 + 1/3*v**3 - 1/4*v**4. Solve o(a) = 0.
-2/3, 0, 1
Suppose 0 = -6*g - 3*g + 18. Factor -44*q**2 + 44*q**g - 5*q**3.
-5*q**3
Let o(h) = 2*h**2 - h - 3. Let n be o(2). Suppose n*q**2 - q + 0*q + 13*q + 12 = 0. Calculate q.
-2
Let o(d) be the second derivative of d**7/21 - 4*d**6/5 + 128*d**4/3 - 512*d. Solve o(w) = 0.
-4, 0, 8
Let q(n) be the second derivative of -n**4/120 + 17*n**3/15 - 67*n**2/20 + 238*n. Factor q(o).
-(o - 67)*(o - 1)/10
Suppose -49 = -6*a - 97 + 48. Determine h so that a + 3/4*h**2 + 0*h = 0.
0
Let i(f) be the second derivative of 0*f**3 - 1/4*f**4 + 3/14*f**7 - 18*f - 7/10*f**6 + 0 + 0*f**2 + 3/4*f**5. Factor i(d).
3*d**2*(d - 1)**2*(3*d - 1)
Let w be ((-25)/50)/(20/(-2890)). Let n(u) = u - 1. Let g be n(3). Determine x, given that -323/2*x**3 + 1 + 429/4*x**g + w*x**4 - 19*x = 0.
2/17, 1
Let v = -170 - -173. Let x(w) be the third derivative of 1/36*w**4 - 1/180*w**6 + 0 + 0*w - 1/9*w**v + 1/90*w**5 - 2*w**2. Determine o so that x(o) = 0.
-1, 1
Let s(u) be the second derivative of u**4/60 - 73*u**3/30 - 62*u. What is b in s(b) = 0?
0, 73
Let b(c) be the first derivative of -25*c**6/18 - 47*c**5/3 - 15*c**4/2 - 243. Factor b(x).
-5*x**3*(x + 9)*(5*x + 2)/3
Let h(b) = -b**3 + 14*b**2 - 41*b + 12. Let k be h(10). What is x in 8/11*x**k + 4/11 + 10/11*x + 2/11*x**3 = 0?
-2, -1
Suppose 131*u = 120*u. Factor -1/2*l**2 + u*l + 0*l**3 + 1/4 + 1/4*l**4.
(l - 1)**2*(l + 1)**2/4
Let u(r) = r**3 + 4*r**2 - 5*r - 5. Let n be u(-5). Let p be (1 - n) + (2 - 3). Factor 6*a**3 - 12*a + 4*a + 2*a**5 + 4*a**2 + 4*a**5 - p*a**5 - 5*a**4.
a*(a - 2)**3*(a + 1)
Let f(w) = w**2 + 10*w + 2. Let n be f(-10). Factor 3*j - 3*j - j**n + 0*j**2.
-j**2
Let d = -1123/836 + 109/76. Factor -3/11*a + 0 + d*a**2.
a*(a - 3)/11
Factor -45/8*f + 3/8*f**2 + 39/4.
3*(f - 13)*(f - 2)/8
Let z(f) be the second derivative of -f**6/105 - 3*f**5/35 - 5*f**4/42 - 53*f - 1. Find x, given that z(x) = 0.
-5, -1, 0
Let b(y) be the third derivative of -10*y**2 + 0*y + 1/90*y**6 + 0*y**4 + 0 + 0*y**5 - 2/3*y**3. Let p(d) be the first derivative of b(d). Solve p(a) = 0.
0
What is u in -4/9*u - 2/9*u**3 - 1/3*u**4 - 4/3 + 7/3*u**2 = 0?
-3, -2/3, 1, 2
Let a(n) be the third derivative of 0*n**4 + 0*n - 6/35*n**7 + 0 + 0*n**3 + 1/5*n**6 - 1/15*n**5 - 19*n**2. Determine q so that a(q) = 0.
0, 1/3
Let a be 682/(-143) + (-160)/(-25) + 2/(-5). Factor -a*d - 6/13 - 14/13*d**2 - 4/13*d**3.
-2*(d + 1)**2*(2*d + 3)/13
Let q = -6935 - -13875/2. Factor -q*h**4 - h - 1/2*h**5 - 9/2*h**3 - 7/2*h**2 + 0.
-h*(h + 1)**3*(h + 2)/2
Let t(u) be the third derivative of 7*u**6/24 - 43*u**5/12 + 115*u**4/8 - 15*u**3/2 + 275*u**2. Find m such that t(m) = 0.
1/7, 3
Let m(h) be the second derivative of h**4/3 + 4*h**3 - 54*h**2 + 54*h - 3. Determine f, given that m(f) = 0.
-9, 3
Let s be ((-8)/(-28))/2 + 27/7. Let t(h) be the second derivative of 0 - 1/3*h**3 - 1/24*h**s - 3/4*h**2 + 2*h. Factor t(z).
-(z + 1)*(z + 3)/2
Let j(z) = -14*z**2 - 2*z - 8. Let c(b) = -b**2 - 1. Let f(t) = -12*c(t) + j(t). Factor f(g).
-2*(g - 1)*(g + 2)
Let j(d) be the third derivative of 0*d + 2/3*d**3 + 1/240*d**5 + d**2 - 1/12*d**4 + 0. Suppose j(c) = 0. What is c?
4
Let w(s) be the first derivative of s**4/40 - s**3/5 + 16*s/5 - 49. Factor w(n).
(n - 4)**2*(n + 2)/10
Let i(s) be the first derivative of s**5/2 - 5*s**3/2 + 5*s**2/2 - 36. Factor i(w).
5*w*(w - 1)**2*(w + 2)/2
Suppose -4*p = 4*v - 224, 4*p = -0*v + 2*v - 136. Let z = 64 - v. Let -1/4 - 25/4*u**3 + 5/4*u**2 - z*u**5 + 5/4*u - 10*u**4 = 0. Calculate u.
-1, 1/4
Let c = 4 + -2/5. Let 2/5*a**2 + 12/5*a + c = 0. What is a?
-3
Let s(y) be the second derivative of -y**6/300 - y**5/50 + y**4/60 + y**3/5 - 9*y**2/2 + 3*y. Let c(r) be the first derivative of s(r). What is a in c(a) = 0?
-3, -1, 1
Factor 6 - 10/3*l**2 - 2/3*l**3 - 2*l.
-2*(l - 1)*(l + 3)**2/3
Let y = 838 - 833. Let h(w) be the second derivative of 0 - w**3 - 1/10*w**y + 6*w + w**2 + 1/2*w**4. Let h(k) = 0. Calculate k.
1
Let f(m) = 3*m**5 + 4*m**4 + 6*m**3 - 12*m**2 - 9*m - 4. Let o(t) = 8*t**5 + 12*t**4 + 18*t**3 - 34*t**2 - 26*t - 11. Let p(g) = 11*f(g) - 4*o(g). Factor p(s).
s*(s - 5)*(s - 1)*(s + 1)**2
Let z(b) be the second derivative of 7*b - 1/3*b**3 - 1/2*b**2 - 1/80*b**5 + 0 - 5/48*b**4. Solve z(x) = 0.
-2, -1
Let x(o) be the first derivative of o**2 + 1/5*o**5 + 0*o + 1/6*o**6 - 3/4*o**4 + 11 - 1/3*o**3. Factor x(k).
k*(k - 1)**2*(k + 1)*(k + 2)
Let q(o) be the third derivative of o**11/1330560 - o**10/604800 - o**5/10 + 22*o**2. Let c(u) be the third derivative of q(u). Let c(x) = 0. Calculate x.
0, 1
Factor 22/3*l + 0 + 2/3*l**2.
2*l*(l + 11)/3
Let j(i) be the third derivative of i**6/720 + 17*i**5/45 + 4757*i**4/144 + 4489*i**3/18 + 9*i**2 + 9*i. Factor j(s).
(s + 2)*(s + 67)**2/6
Suppose -v - 7 = -2*r, -2*r - 3*r - 5*v = -25. Factor 4*w**4 - 39*w + 15*w + 20*w - 4*w**2 + r*w**3.
4*w*(w - 1)*(w + 1)**2
Suppose 101*p + 3*p**3 + 1112*p**2 + 66 + 1153*p**2 - 2193*p**2 + 34*p = 0. What is p?
-22, -1
Suppose -18/13*j + 20/13 - 2/13*j**2 = 0. What is j?
-10, 1
Let q(t) be the first derivative of -4*t**5/5 + 66*t**4 + 272*t**3/3 - 132*t**2 - 268*t - 612. Suppose q(z) = 0. Calculate z.
-1, 1, 67
Let d be (-272)/(-96) + 1/18. Factor 0 - d*z**4 - 10/9*z**5 - 2*z**3 + 2/9*z**2 + 4/9*z.
-2*z*(z + 1)**3*(5*z - 2)/9
Let 24*g**3 - 30*g**2 + 36*g**5 - 41*g**5 + 11*g**3 = 0. What is g?
-3, 0, 1, 2
Let n be (6 - 1)*(520/25)/(-4). Let u = n + 26. Factor u - 1/7*d**2 + 2/7*d - 1/7*d**3.
-d*(d - 1)*(d + 2)/7
Solve -2/17*v**3 + 0 + 2/17*v**2 + 12/17*v = 0 for v.
-2, 0, 3
Let d(l) be the third derivative of l**5/60 + l**4/3 + 8*l**3/3 - 78*l**2. Factor d(b).
(b + 4)**2
Suppose -2257*j + 4 = -2255*j. Suppose -3/4*w**j - 3*w + 3 + 3/4*w**3 = 0. Calculate w.
-2, 1, 2
Let s(p) be the first derivative of -p**5/360 - p**4/36 - p**3/12 + 5*p**2 - 4. Let l(y) be the second derivative of s(y). Find c, given that l(c) = 0.
-3, -1
Let z(f) be the third derivative of -1/204*f**4 + 0*f + 0*f**3 + 7/1020*f**6 - 46*f**2 - 4/1785*f**7 - 1/255*f**5 + 0. Factor z(u).
-2*u*(u - 1)**2*(4*u + 1)/17
Let o(v) = -168*v**4 + 1686*v**3 - 731*v**2 + 86*v - 3. Let l(w) = 670*w**4 - 6746*w**3 + 2923*w**2 - 342*w + 11. Let y(q) = 6*l(q) + 22*o(q). Factor y(m).
4*m*(m - 10)*(9*m - 2)**2
Let q(t) be the first derivative of -1/16*t**4 - 1 - 4*t + 1/80*t**5 + 1/2*t**2 + 0*t**3. Let h(r) be the first derivative of q(r). Factor h(k).
(k - 2)**2*(k + 1)/4
Let k(h) be the first derivative of 2*h**3/63 + 16*h**2/21 + 8*h/3 - 9. Find i such that k(i) = 0.
-14, -2
Let q(t) be the second derivative of t**6/15 + 7*t**5/10 + 5*t**4/2 + 13*t**3/3 + 4*t**2 + 4*t + 5. Find a such that q(a) = 0.
-4, -1
Let y(a) = -20*a**3 - 80*a**2 + 336*a - 332. Let z(t) = -7*t**3