b) be the first derivative of f(b). Factor t(v).
-v**2*(v - 2)*(3*v + 2)**2/3
Let j(t) be the first derivative of 2*t**3/45 + 4*t**2/15 - 332. Factor j(b).
2*b*(b + 4)/15
Let v(g) = g**2 + 44*g + 232. Let w be v(-6). Factor -1/9*p**w - 1/9*p**2 + 1/3*p**3 - 1/3*p + 2/9.
-(p - 2)*(p - 1)**2*(p + 1)/9
Let f(o) = -o**2 + 58*o + 3. Let x(s) = 2*s**2 - 116*s - 5. Let l(c) = -5*f(c) - 3*x(c). Let l(t) = 0. What is t?
0, 58
Factor 0*m**2 + 12/5*m**3 - 54/5*m - 2/15*m**5 + 0 + 0*m**4.
-2*m*(m - 3)**2*(m + 3)**2/15
Let z(o) be the third derivative of -2 + 1/160*o**6 - 1/240*o**5 - 1/6*o**3 + 5*o**2 + 0*o - 1/12*o**4. Determine i, given that z(i) = 0.
-1, -2/3, 2
Let r = -83 + 85. Let c(a) be the second derivative of -a**4/3 - 2*a**3/3 - 2*a. Let x(z) = 13*z**2 + 12*z - 1. Let h(u) = r*x(u) + 7*c(u). Factor h(j).
-2*(j + 1)**2
Let j(c) be the third derivative of 5/8*c**4 - 6/5*c**5 - 15/112*c**8 + 0 + 0*c + 1/4*c**6 + 11/35*c**7 + c**3 + 31*c**2. What is s in j(s) = 0?
-1, -1/5, 2/3, 1
Let g(j) be the first derivative of -j**4/44 + 23*j**3/33 - 13*j**2/2 + 11*j + 196. Factor g(z).
-(z - 11)**2*(z - 1)/11
Suppose 0 = 3*o - 0*r + r - 155, o + 5*r = 47. Let q = 54 - o. Factor 32/9*a**3 - 46/9*a - 2/3 - 80/9*a**q.
2*(a - 3)*(4*a + 1)**2/9
Let d be ((-42)/(-49))/((-12)/105*-5). Factor 2/3 + d*u + 1/3*u**2.
(u + 4)*(2*u + 1)/6
Let p(h) be the first derivative of h**3/18 - h**2/3 - 5*h/6 + 55. Factor p(b).
(b - 5)*(b + 1)/6
Let y(q) be the second derivative of 0*q**4 + 0 + 0*q**3 - 1/75*q**6 + 1/210*q**7 + 0*q**2 - 8*q + 1/100*q**5. Factor y(z).
z**3*(z - 1)**2/5
Let l be (-4)/(-3) + (-5)/3*(-770)/(-1225). Find u, given that 2/7*u + 2/7*u**4 - l*u**3 - 6/7*u**2 + 4/7 = 0.
-1, 1, 2
Suppose 2/7 + 4/7*y**2 - 1/7*y**3 - 5/7*y = 0. Calculate y.
1, 2
Let m(u) be the first derivative of 3*u**5 - 3*u**4/2 - 35*u**3 - 24*u**2 + 36*u - 60. Determine o, given that m(o) = 0.
-2, -1, 2/5, 3
Let f(q) be the first derivative of -q**6/33 - 16*q**5/55 - q**4 - 16*q**3/11 - 9*q**2/11 + 59. Solve f(l) = 0 for l.
-3, -1, 0
Let d(t) = 3*t**2 - 5*t. Let l(y) = 2*y**2 - 3*y. Let s(r) = -6*d(r) + 10*l(r). Factor s(c).
2*c**2
Let w = -2403/2 - -1203. Solve -2*b + 1/2*b**3 + 0 + w*b**2 = 0 for b.
-4, 0, 1
Let y(u) be the first derivative of 8/5*u - 8/5*u**2 - 54 - 1/10*u**4 + 2/3*u**3. Factor y(a).
-2*(a - 2)**2*(a - 1)/5
Suppose -31*b = -24*b - 14. Let s be (1*-16)/(1 + (-35)/10). Determine x, given that -12/5*x**4 - s*x**b - 28/5*x**3 - 18/5*x - 4/5 - 2/5*x**5 = 0.
-2, -1
Let w = -42645 - -213229/5. Let j be 2/(1 - 3/(-2)). Factor j + 8/5*b + w*b**2.
4*(b + 1)**2/5
Let a(n) be the first derivative of 1 + 0*n - 4*n**4 + 0*n**2 - 4/3*n**6 + 4/3*n**3 + 4*n**5. Factor a(w).
-4*w**2*(w - 1)**2*(2*w - 1)
Let y = -464 - -470. Let f(r) be the third derivative of -4*r**2 + 2/5*r**5 + 0 - 3/8*r**4 - r**3 + 0*r - 3/40*r**y. Solve f(x) = 0.
-1/3, 1, 2
Let n(m) be the first derivative of 4*m**5 + 102*m**4 + 300*m**3 + 328*m**2 + 144*m + 400. Determine w so that n(w) = 0.
-18, -1, -2/5
Let m(b) be the third derivative of -3/8*b**4 - 22*b**2 + 0*b + 0 - 1/3*b**3 - 1/15*b**5. Factor m(q).
-(q + 2)*(4*q + 1)
Let y(p) be the second derivative of -p**7/504 - p**6/24 - p**5/3 - 7*p**4/12 + 39*p. Let s(v) be the third derivative of y(v). Let s(w) = 0. What is w?
-4, -2
Factor -52/17 + 22/17*r + 2/17*r**2.
2*(r - 2)*(r + 13)/17
Let z(o) be the first derivative of 2*o**6/3 - 44*o**5/5 + 46*o**4 - 368*o**3/3 + 176*o**2 - 128*o + 41. Solve z(b) = 0 for b.
1, 2, 4
Let i(m) be the third derivative of m**9/7560 - m**7/1260 + 3*m**4/8 - 4*m**2. Let l(a) be the second derivative of i(a). Factor l(r).
2*r**2*(r - 1)*(r + 1)
Let d(g) be the second derivative of g**5/6 + g**4/3 + g**3/9 + 196*g. Factor d(q).
2*q*(q + 1)*(5*q + 1)/3
Let g(j) be the third derivative of 1/7*j**3 - 15*j**2 + 1/35*j**5 - 1/280*j**6 + 0 + 0*j - 5/56*j**4. Factor g(r).
-3*(r - 2)*(r - 1)**2/7
Let k(b) be the third derivative of b**6/260 - 2*b**5/195 - b**4/156 + 2*b**3/39 + 40*b**2. Factor k(l).
2*(l - 1)**2*(3*l + 2)/13
Let w(c) be the third derivative of 0*c + 0*c**4 + 0 + 1/20*c**5 + 3/70*c**7 - 1/112*c**8 + 0*c**3 + 9*c**2 - 3/40*c**6. Solve w(z) = 0 for z.
0, 1
Factor -5/4*v**4 + 2*v + 5*v**2 + 0 - 1/2*v**3.
-v*(v - 2)*(v + 2)*(5*v + 2)/4
Let m(g) be the third derivative of 5*g**8/336 + 5*g**7/21 + 17*g**6/12 + 13*g**5/3 + 185*g**4/24 + 25*g**3/3 - 699*g**2. Factor m(s).
5*(s + 1)**3*(s + 2)*(s + 5)
Let r = -827 + 827. Let v(p) be the first derivative of -5/2*p**2 - 10/3*p**3 + r*p - 5/4*p**4 + 9. What is w in v(w) = 0?
-1, 0
Find t, given that -10/9*t**4 + 2/9*t**5 + 14/9*t**3 - 2/3*t**2 + 0 + 0*t = 0.
0, 1, 3
Factor 4/5 - 488/5*j**2 + 106/5*j.
-2*(4*j - 1)*(61*j + 2)/5
Let o(y) be the second derivative of 2*y**7/21 + 4*y**6/15 - 2*y**5/5 - 4*y**4/3 + 2*y**3/3 + 4*y**2 - 4*y. Solve o(a) = 0 for a.
-2, -1, 1
Let d(s) be the first derivative of -4*s**5/5 + 3*s**4 - 8*s**3/3 + 15. Solve d(o) = 0 for o.
0, 1, 2
Let m(p) = -5*p**2 + 85*p + 90. Let x(o) = -5*o**2 + 85*o + 90. Let u(f) = -2*m(f) + 3*x(f). Suppose u(r) = 0. What is r?
-1, 18
Let s(g) = 36*g**2 + 340*g + 620. Let n(o) = -4*o**2 - 38*o - 69. Let t(k) = -28*n(k) - 3*s(k). Factor t(f).
4*(f + 2)*(f + 9)
Suppose -7 = 7*z - 28. Let -3 + 8*r**4 - 10*r + 8*r**z + 2*r**5 - 9 - 4*r**2 + 8 = 0. What is r?
-2, -1, 1
Let c be (-5*(-9)/30)/(6/80). Solve o**3 - 21*o**2 + 8*o + 37*o**2 - c*o**2 - 9*o**3 + 4*o**4 = 0 for o.
-1, 0, 1, 2
Let b = -21193/9 - -2355. Determine j so that b*j**2 + 0 - 2/9*j**4 - 2/3*j + 2/3*j**3 = 0.
-1, 0, 1, 3
Let d(q) = 1 - 6*q - 2 + 4 - q**2. Let n(p) = -p**2 - 7*p + 4. Let v = -1086 + 1091. Let i(f) = v*d(f) - 4*n(f). Factor i(a).
-(a + 1)**2
Let u = 0 - -12. Suppose 0 = 2*q + 3*s - s - u, -2*s = -5*q + 2. Determine p so that 8*p - 4 - 4 - 16*p**2 + 8*p**q + 6*p**2 = 0.
2
Let h(n) be the first derivative of n**6/180 + n**5/20 - 25*n**3/3 - 9. Let c(z) be the third derivative of h(z). Find i such that c(i) = 0.
-3, 0
Let o(j) = j**3 - j**2 + 1. Let c(g) = 3*g**4 + 7*g**3 + 14*g**2 - 12*g - 17. Let a be 3 + -3 + (-2)/(-2). Let x(i) = a*c(i) + 5*o(i). Factor x(d).
3*(d - 1)*(d + 1)*(d + 2)**2
Let a be 4/7*(-10051)/(-2116). Suppose -a*k - 3*k**2 - 6/7 - 9/7*k**3 - 1/7*k**4 = 0. Calculate k.
-6, -1
Find s such that -28/3*s**2 + 28/3*s**5 - 13*s**3 - 4/3*s + 43/3*s**4 + 0 = 0.
-2, -2/7, -1/4, 0, 1
Let g(u) be the third derivative of 7*u**5/12 - 5*u**4/2 + 25*u**3/6 + 121*u**2. Solve g(w) = 0 for w.
5/7, 1
Let q be 3 + 4/(-12)*3. What is v in 1 - q*v**2 + 4*v**3 - 4*v + 0*v**2 + v**2 = 0?
-1, 1/4, 1
Let j(i) be the third derivative of -2*i**5/105 - 13*i**4/6 - 30*i**3/7 - 3*i**2 + 5*i. Let j(x) = 0. What is x?
-45, -1/2
Let h be (-6)/(-12) + 42/(-112). Let x(m) be the first derivative of -1/2*m + 1/4*m**2 - h*m**4 + 1/6*m**3 + 4. Factor x(v).
-(v - 1)**2*(v + 1)/2
Let r(p) be the first derivative of 3*p**5/5 - 3*p**4 + 3*p**3 - 82. Factor r(v).
3*v**2*(v - 3)*(v - 1)
Let p(t) be the second derivative of t**7/63 + t**6/45 - t**5/15 - t**4/9 + t**3/9 + t**2/3 + 7*t + 11. Find i, given that p(i) = 0.
-1, 1
Suppose -v + 12 = 3*t, 5*v - 4*t + 3 = 2*v. Suppose v*q = 7*q - 16. Factor 0*n**4 + 2*n**5 + 4*n**4 - 4 + 2*n**3 + q.
2*n**3*(n + 1)**2
Let l be 43/(-30) + (-39)/(-26). Let q(a) be the first derivative of 2/5*a + 1 + 3/10*a**2 + l*a**3. Factor q(k).
(k + 1)*(k + 2)/5
Let r(t) be the first derivative of -2*t**5/5 - t**4/2 + 2*t**3/3 + t**2 + 3. Let r(g) = 0. Calculate g.
-1, 0, 1
Suppose -45 = 17*w + 23. Let u be 1 - ((3 - 1) + w + 3). Factor -14*g**5 + 48/7*g**3 + 8/7*g**2 + 0*g + u + 6*g**4.
-2*g**2*(g - 1)*(7*g + 2)**2/7
Let r(k) be the first derivative of 0*k**2 + 0*k - 1/630*k**6 + 0*k**4 + 6 + 2*k**3 + 1/105*k**5. Let v(q) be the third derivative of r(q). Factor v(c).
-4*c*(c - 2)/7
Factor 41/3*z - 1/6*z**2 - 27/2.
-(z - 81)*(z - 1)/6
Let t(q) be the second derivative of -q**4/4 + 7*q**3/2 - 18*q**2 - 95*q. Factor t(z).
-3*(z - 4)*(z - 3)
Determine y, given that 4/11*y + 0 + 18/11*y**3 + 2/11*y**5 + 14/11*y**2 + 10/11*y**4 = 0.
-2, -1, 0
Let x(d) be the third derivative of -1/20*d**5 + 1/12*d**4 + 0 + 1/120*d**6 - 3*d**2 + 0*d + 0*d**3. Factor x(f).
f*(f - 2)*(f - 1)
Suppose 84*j**2 - 18*j + 105 - 15*j - 47*j**3 - 111 + 2*j**3 = 0. Calculate j.
-2/15, 1
Let a