nd derivative of -w**6/90 + w**5/6 - 2*w**4/3 - 5*w**3/9 + 25*w**2/6 - 58*w. Factor i(y).
-(y - 5)**2*(y - 1)*(y + 1)/3
Let f be 8/(-28) + 2 + (-2421)/(-21). Let r = f - 115. Solve -1/2*c**r - 1/2*c + 1 = 0 for c.
-2, 1
Factor 1/4*r**5 + 0*r + 7/2*r**4 + 0 + 25/4*r**3 + 3*r**2.
r**2*(r + 1)**2*(r + 12)/4
Let r = 26624 - 26622. Factor 2/15*a**r + 0 - 2/15*a.
2*a*(a - 1)/15
Let j(p) be the first derivative of 18*p - 75/2*p**2 - 33/4*p**4 - 42*p**3 + 43. What is m in j(m) = 0?
-3, -1, 2/11
Factor 1/3*k**2 - 1/6*k**4 + 4/3 - 1/2*k**3 + 2*k.
-(k - 2)*(k + 1)*(k + 2)**2/6
Let r = 161 - 159. Let w(c) be the third derivative of 0*c**4 + 4*c**r + 1/18*c**3 + 0*c + 0 - 1/180*c**5. Suppose w(a) = 0. Calculate a.
-1, 1
Let o(h) be the first derivative of 2*h**3/15 + 4*h**2 - 42*h/5 - 123. Let o(y) = 0. Calculate y.
-21, 1
Let j be -1 + ((-46)/(-4) - 6/(-4)). Let p be ((-175)/(-30))/7 - 2/j. Factor p + 4/3*d - 14/3*d**2 + 8/3*d**3.
2*(d - 1)**2*(4*d + 1)/3
Let h(y) = 16*y**2 - 4*y + 4. Let v(a) = -a**3 - a + 1. Let o(c) = -2*c**3 + 2*c**2 + 4. Let l be o(2). Let k(b) = l*v(b) + h(b). Factor k(q).
4*q**2*(q + 4)
Factor -6*z**2 - 65 - 15*z**2 - 191 + 3*z**2 - 30*z**2 - 192*z - 4*z**3.
-4*(z + 4)**3
Suppose 69 = 2*s + s. Factor s*h + 2*h**2 + 2*h**3 - 2*h**4 + 0*h**2 - 25*h.
-2*h*(h - 1)**2*(h + 1)
Let r be (1/1)/((-25)/(-10)). Factor 0 - r*x**2 - 2/5*x.
-2*x*(x + 1)/5
Let d(z) be the second derivative of -1/15*z**3 + 0 + 1/60*z**4 + 0*z**2 - 33*z + 1/100*z**5. Suppose d(a) = 0. Calculate a.
-2, 0, 1
Find j such that 2/3*j**3 + 8/3*j + 8/3*j**2 + 0 = 0.
-2, 0
Let k(g) be the second derivative of 12*g**5/5 - 23*g**4/3 + 20*g**3/3 + 2*g**2 - 251*g + 1. Let k(y) = 0. What is y?
-1/12, 1
Let k = -1/37069 - 90670767/259483. Let t = k + 350. Determine g so that 0 - t*g**2 + 4/7*g = 0.
0, 1
Let w(p) be the first derivative of 0*p**2 - 1/20*p**5 - 2 - 1/24*p**4 - 1/60*p**6 + 2*p + 0*p**3. Let r(i) be the first derivative of w(i). Factor r(j).
-j**2*(j + 1)**2/2
Let q(b) be the third derivative of 0 + 1/150*b**5 + 0*b - 4*b**2 + 0*b**4 - 1/15*b**3. Let q(s) = 0. What is s?
-1, 1
Let o(l) = -l**3 + 6*l**2 + 27*l - 86. Let h be o(8). Find y such that 4/3*y - 2/3*y**2 + h = 0.
-1, 3
Let h = 0 + 0. Let b = -1513/9 + 169. Suppose 2/9*m + 8/9*m**4 - b*m**2 + h - 8/9*m**5 + 2/3*m**3 = 0. What is m?
-1, 0, 1/2, 1
Let f(x) be the third derivative of -x**6/540 - 16*x**5/135 - 29*x**4/27 - 112*x**3/27 - 4*x**2 - 1. Determine j so that f(j) = 0.
-28, -2
Let a be -1 + -1 + 13 + -8. Suppose 2*m = a*m - 3. Let -30*c**2 + 5*c**4 + 40 - 23*c + 4*c**3 + 3*c + 2*c**3 - c**m = 0. Calculate c.
-2, 1, 2
Let k(c) be the first derivative of -c**6/15 + c**5/5 + c**4/2 + 24*c + 40. Let w(g) be the first derivative of k(g). Factor w(u).
-2*u**2*(u - 3)*(u + 1)
Suppose -137*y + 68*y + 345 = 0. Solve 10/7*o**3 + 1/7*o**y + 5/7*o**4 + 5/7*o + 1/7 + 10/7*o**2 = 0.
-1
Suppose 3*z + x - 14 = -z, -2*z - 2*x + 4 = 0. Suppose 5*k**3 - k**3 + 28*k**z - 4*k - 38*k**4 + 10*k**2 = 0. What is k?
-1, 0, 2/5, 1
Let u(j) be the third derivative of -j**5/180 + j**4/9 + 93*j**2. Factor u(a).
-a*(a - 8)/3
Let g = -621 + 625. Let y(o) be the third derivative of 0*o + 1/210*o**7 + 0*o**3 - 1/120*o**6 + 0*o**5 - 5*o**2 + 0*o**g + 0. Let y(b) = 0. What is b?
0, 1
Let l(u) = -u**4 + 2*u**3 + u**2 + u - 1. Let t(p) = 14*p**4 - 4*p**3 + 22*p**2 + 4*p + 12. Let k(r) = 12*l(r) + t(r). Solve k(c) = 0 for c.
-8, -1, 0
Let h be (-18)/99 - 204/(-880). Let j(g) be the second derivative of 1/3*g**3 + 0 + 1/12*g**4 - 2*g - h*g**5 + 0*g**2. Find b such that j(b) = 0.
-1, 0, 2
Let n(s) be the first derivative of -s**3/33 + 39*s**2/11 + 79*s/11 + 432. Factor n(i).
-(i - 79)*(i + 1)/11
Let b(k) be the third derivative of k**8/57120 - 3*k**4/4 - 16*k**2. Let n(u) be the second derivative of b(u). Factor n(i).
2*i**3/17
Factor 112/3*y - 29/6*y**2 - 98/3 + 1/6*y**3.
(y - 14)**2*(y - 1)/6
Suppose 0 = 5*q + 4*c - 7, -97*c + 99*c = 5*q - 19. Solve 0 - 5/4*s**2 - 5/4*s**q + 0*s = 0.
-1, 0
Let u(n) = -n**3 - 22*n**2 + 22*n - 20. Let d be u(-23). Let b be -6*d/(-54) + -1 + 2. Determine i, given that 2/3 + b*i**2 - 5/3*i - 1/3*i**3 = 0.
1, 2
Let f be 4 - 0/(-3 + 6). Let o(d) be the first derivative of -4/27*d**3 + 2/9*d + 2/45*d**5 + 1/9*d**2 + 1/27*d**6 + 6 - 1/9*d**f. Factor o(z).
2*(z - 1)**2*(z + 1)**3/9
Factor -5248*k**2 - 5241*k**2 + 4 + 10485*k**2.
-4*(k - 1)*(k + 1)
Let d(s) be the second derivative of s**5/100 - 3*s**4/20 + 7*s**3/15 - s + 16. Factor d(p).
p*(p - 7)*(p - 2)/5
Suppose b**3 + 80 + 297*b**2 - 261*b**2 - 96*b - 5*b**3 = 0. What is b?
2, 5
Suppose -24*z**2 + 93/2*z - 23 + 1/2*z**3 = 0. What is z?
1, 46
Let v(u) be the second derivative of -2*u**7/21 - 16*u**6/5 - 46*u**5 - 1100*u**4/3 - 1750*u**3 - 5000*u**2 - 439*u. Find y such that v(y) = 0.
-5, -4
Suppose -y + 63 - 132 = 0. Let j be 2/(-7) + y/(-21). Factor -3/4*s**2 + 0 - 3*s**j - 7/4*s**4 + 1/2*s.
-s*(s + 1)**2*(7*s - 2)/4
Let n(p) be the third derivative of 9*p**7/70 + 3*p**6/40 - p**5/4 + p**4/8 + 35*p**2 - 5*p. Determine d so that n(d) = 0.
-1, 0, 1/3
Let o = -50285/2 - -25144. Find z, given that 0 + 1/4*z**2 + o*z = 0.
-6, 0
Let i be (10/(-25))/((-4)/40). Let -2*a + 27*a**3 - 4*a + 3*a**2 - 10*a**i - 29*a**4 + 15*a**5 = 0. What is a?
-2/5, 0, 1
Factor -129*o**2 - 1855 - 18*o**3 - 939*o**2 - 11115 - 5110 - 16856*o - 11504.
-2*(o + 2)*(3*o + 86)**2
Let v(n) be the second derivative of 0 - 12*n**2 - 1/8*n**4 + 10*n - 2*n**3. Factor v(r).
-3*(r + 4)**2/2
Factor 52*j**2 + 4*j**4 + 21*j**3 - 52*j**3 + 13*j**3 - 38*j**3.
4*j**2*(j - 13)*(j - 1)
Suppose 10*v - 4*v = 36. Suppose -2*b + 4*b = -v*b. Factor -18/5*q**2 + b - 22/5*q**4 - 4/5*q - 6*q**3 - 6/5*q**5.
-2*q*(q + 1)**3*(3*q + 2)/5
Let u(b) be the first derivative of 44/3*b**3 + 19 - 38*b**2 - b**4 + 36*b. Find y, given that u(y) = 0.
1, 9
Let a(d) = -5*d**5 + 4*d**3 - 6*d**2 - 7*d + 6. Let f(v) = v**5 + v**2 + v - 1. Let b(o) = -5*a(o) - 20*f(o). What is z in b(z) = 0?
-2, -1, 1
Let i(k) be the first derivative of k**7/168 + k**6/12 + 3*k**5/8 + 5*k**4/6 - 35*k**3/3 - 5. Let v(s) be the third derivative of i(s). Factor v(f).
5*(f + 1)**2*(f + 4)
Let m = 376/115 + -192/115. Find r, given that m*r - 6/5 - 2/5*r**2 = 0.
1, 3
Let y(s) be the first derivative of -3*s**4/16 - 3*s**3/2 - 15*s**2/8 + 168. Suppose y(g) = 0. Calculate g.
-5, -1, 0
Let n(v) = -9*v**4 + 17*v**3 - 5*v**2 - 5. Let t(h) = 2*h**4 + h**2 + 1. Let b(c) = -4*n(c) - 20*t(c). Factor b(q).
-4*q**3*(q + 17)
Let m be (0 + 1 - 2) + 1936/1584. Factor -2/3*t**2 + 4/9*t + m*t**3 + 0.
2*t*(t - 2)*(t - 1)/9
Let h = 12 - 6. Suppose 20*b**2 - h*b**3 - 15*b + 0*b**3 + b**3 = 0. Calculate b.
0, 1, 3
Let s be (-6)/(-51) + 265/(-85). Let i(y) = y**4 + y**3 + 8*y**2 - 5*y + 5. Let d(w) = w**4 + w**3 + 4*w**2 - 3*w + 3. Let v(k) = s*i(k) + 5*d(k). Factor v(p).
2*p**2*(p - 1)*(p + 2)
Let c(o) be the third derivative of -o**6/180 - 17*o**5/45 - 289*o**4/36 - o**2 + 121. Find g, given that c(g) = 0.
-17, 0
Let -2/7*z**4 - 68/7*z**3 - 64/7*z**2 + 68/7*z + 66/7 = 0. Calculate z.
-33, -1, 1
Let n(m) be the second derivative of -m**4/66 - 5*m**3/33 + 14*m**2/11 - 911*m. Factor n(k).
-2*(k - 2)*(k + 7)/11
Let n(c) be the third derivative of c**6/320 - 13*c**5/80 + 49*c**4/64 - 3*c**3/2 - 196*c**2. Factor n(w).
3*(w - 24)*(w - 1)**2/8
Let y = -35404/5 - -7081. Factor -y*h**2 + 0 - 2/5*h.
-h*(h + 2)/5
Suppose 5*z = 4*h + 20, -5*z = -7*z + 3*h + 15. Factor -1/6*o**5 + 0 - 1/6*o**4 + z*o + 0*o**2 + 0*o**3.
-o**4*(o + 1)/6
Let b(c) be the second derivative of -c**4/66 + 10*c**3/33 + c**2 - 176*c. Determine w, given that b(w) = 0.
-1, 11
Let c be (17 + -17)/(3 + 0 - 2). Factor 134*a + c - 142*a + 0 + a**2.
a*(a - 8)
Let z(j) = 3*j**3 - j**2 + 2*j - 1. Let b be z(1). Let -9 + 60*c + 2*c**4 - 22*c**4 + 1 - 4*c**3 + 97*c**b - 134*c**2 = 0. Calculate c.
1/4, 2/5, 2
Let 72*v - 16 + 14 + 17 + 34*v**2 - 2*v**4 + 7 + 18 = 0. Calculate v.
-2, -1, 5
Suppose 2/3*v**2 + 32*v + 0 = 0. What is v?
-48, 0
Let t be (-6)/144*20/(-175). Let h(x) be the third derivative of -t*x**5 + x**2 + 0 + 2/21*x**3 + 1/84*x**4 + 0*x. Factor h(o).
-2*(o - 2)*(o + 1)/7
Find j, given that -4*j + 51 - 51 - j**2 - 3*j**2 = 0.
-1, 0
Determine x, given that 9/5*x**3 - 48/5 - 114/5*x - 57/5*x**2 = 0.
-1, -2/3, 8
Let q 