be the first derivative of -2*s**3/33 - 3*s**2/11 - 4*s/11 - 324. Find j such that u(j) = 0.
-2, -1
Suppose -10*z + 8*z = 4. Let a be z/((-1)/6 - (-2)/(-6)). Factor 18/5*y**2 + 3/5 + 3/5*y**a + 12/5*y**3 + 12/5*y.
3*(y + 1)**4/5
Let g(o) = o**3 + 10*o**2 - 3*o - 11. Let h be g(-10). Let b = h + -16. Solve -12*c**4 + c**b - 20*c**4 + 31*c**4 = 0 for c.
0, 1
Let u(q) be the second derivative of q**4/12 - 55*q**3/2 + 82*q**2 + 2*q - 18. Factor u(i).
(i - 164)*(i - 1)
Factor 0 - 1/6*k**3 - 1/3*k**4 + 5/6*k**2 - 1/3*k.
-k*(k - 1)*(k + 2)*(2*k - 1)/6
Let b be (7*(-45)/(-420))/(10/8). Suppose 2/5 + 0*o**2 + b*o - 1/5*o**3 = 0. Calculate o.
-1, 2
Factor 3 + 1/2*m**3 - 3*m**2 - 1/2*m.
(m - 6)*(m - 1)*(m + 1)/2
Suppose -z - 3 = -4*v - 17, -3*z + 27 = 3*v. Factor -30*o**2 + 5 - z*o + 10*o**3 + 0*o + 25*o**2.
5*(o - 1)*(o + 1)*(2*o - 1)
Let a(s) be the third derivative of -s**5/120 + 11*s**4/12 - 121*s**3/3 + 22*s**2 - 3*s. Find t, given that a(t) = 0.
22
Let o(u) = 20*u**2 + 172*u + 160. Let z(k) = 13*k**2 + 115*k + 107. Let i(a) = -5*o(a) + 8*z(a). Factor i(c).
4*(c + 1)*(c + 14)
Suppose 99 = -4*i + 5*i. Let s = i + -94. Determine h, given that -7/4*h + 1/2*h**4 - 2*h**2 + 1/4*h**s - 1/2 - 1/2*h**3 = 0.
-1, 2
Let l(g) be the first derivative of 7*g**4/6 + 32*g**3/9 + 4*g**2/3 - 80. Factor l(k).
2*k*(k + 2)*(7*k + 2)/3
Let t(f) be the second derivative of -27*f**5/40 - 7*f**4 - 93*f**3/4 - 27*f**2/2 + 62*f. Factor t(b).
-3*(b + 3)**2*(9*b + 2)/2
Solve -627*r**4 - 23*r + 4*r + 1249*r**4 - 623*r**4 - 21*r**3 - 39*r**2 = 0 for r.
-19, -1, 0
Let i(f) be the third derivative of f**5/3 + 1745*f**4/24 + 145*f**3/2 + 134*f**2. Factor i(v).
5*(v + 87)*(4*v + 1)
Solve -47628/5 - 756/5*k - 3/5*k**2 = 0 for k.
-126
Let q(y) = y**2 + 10. Let b be q(-5). Suppose b = 2*i - i. Let 5*p + 49*p + 6*p + i*p**2 - 20 = 0. What is p?
-2, 2/7
Let c = 194015/42441 - -1/42441. Suppose c*h**2 - 8/7*h - 2*h**3 + 0 = 0. Calculate h.
0, 2/7, 2
Suppose 0 = 67*r - 60*r. Let i(t) be the third derivative of r*t**3 + 0*t**5 + 0*t**4 + 1/70*t**7 + 0*t + 0 + 0*t**6 - 3*t**2. Let i(w) = 0. What is w?
0
Let f(y) be the third derivative of -y**6/120 + 2*y**5/15 + y**4/24 - 4*y**3/3 + 117*y**2. Factor f(z).
-(z - 8)*(z - 1)*(z + 1)
Let d be 36/4 + -7 + -2. Let t(k) be the first derivative of -2*k + 0*k**2 - 2/5*k**5 + d*k**4 + 4/3*k**3 - 2. Let t(n) = 0. What is n?
-1, 1
Let c(f) be the first derivative of 1/2*f**2 + 1/12*f**4 - 1/3*f**3 + 11 + f. Let w(a) be the first derivative of c(a). Factor w(g).
(g - 1)**2
Solve -4/3*h - 2/9*h**5 + 0 + 14/9*h**4 - 34/9*h**3 + 34/9*h**2 = 0.
0, 1, 2, 3
Let o be (-2)/3 + 176/48. Let i(z) be the second derivative of -1/5*z**2 + 2/15*z**o - 1/30*z**4 + 0 - 6*z. Find r such that i(r) = 0.
1
Factor 0 - 2/21*q**2 - 2/21*q**3 + 0*q.
-2*q**2*(q + 1)/21
Let n = 67 - 803/12. Let c(d) be the third derivative of 0*d - n*d**6 + 2/3*d**3 - 4/15*d**5 - 5*d**2 + 0 - 1/12*d**4. Factor c(j).
-2*(j + 1)**2*(5*j - 2)
Determine o so that 0 - 2/5*o**2 + 1/5*o**3 - 3/5*o = 0.
-1, 0, 3
Let o = -11219/30 - -374. Let g(u) be the third derivative of -o*u**6 + 7/15*u**5 - 32/3*u**3 - 4/3*u**4 + 0 + 2*u**2 + 0*u. Determine d, given that g(d) = 0.
-1, 4
Let u(c) be the first derivative of 4*c**5/5 - 47*c**4 + 344*c**3 - 1000*c**2 + 1312*c + 656. What is i in u(i) = 0?
2, 41
Let a = 9907 + -49519/5. Let -a*w**2 + 4/5*w - 16/5*w**4 + 0 + 24/5*w**3 + 4/5*w**5 = 0. Calculate w.
0, 1
Let d(j) be the first derivative of j**6/345 + j**5/115 - 2*j**3/69 - j**2/23 + 11*j + 5. Let y(v) be the first derivative of d(v). Find f such that y(f) = 0.
-1, 1
Suppose -2 = -2*f + 26. Suppose -16*r - 62 + r**4 - 3*r**4 + f + 36*r**2 - 2*r**4 = 0. What is r?
-3, -1, 2
Let t(a) = -a**5 + 4*a**4 + 4*a**3 - 7*a**2 - 12*a - 3. Let j(b) = -b**5 + 4*b**4 + 5*b**3 - 8*b**2 - 16*b - 4. Let l(n) = -3*j(n) + 4*t(n). Factor l(k).
-k**2*(k - 4)*(k - 1)*(k + 1)
Let h(g) be the third derivative of -g**8/33600 + g**6/300 - g**5/30 + 9*g**2. Let q(w) be the third derivative of h(w). Factor q(o).
-3*(o - 2)*(o + 2)/5
Let m = 29/57 - -3/19. Suppose 4/9*s**3 - 2/9*s**4 - m - 4/9*s + 8/9*s**2 = 0. Calculate s.
-1, 1, 3
Suppose -41*f + 147 = -17. Let y(z) be the third derivative of 0*z + 5*z**2 - 1/20*z**6 + 0 - 3/20*z**5 - 1/8*z**f + 0*z**3. Solve y(r) = 0 for r.
-1, -1/2, 0
Let l(s) be the second derivative of 4*s**3 - 1/5*s**5 + 0 - s + s**4 + s**2. Let f(k) = 7*k**3 - 25*k**2 - 48*k - 3. Let a(v) = 6*f(v) + 13*l(v). Factor a(q).
-2*(q - 2)*(q + 1)*(5*q + 2)
Suppose 61*y - 14 = -b + 58*y, 0 = -4*y + 16. Let t be (1/2)/(-1 - -3). Solve 3/4*w - 3/4*w**b + t*w**3 - 1/4 = 0.
1
Let r(h) = 29*h**2 - 84*h - 49. Let x(o) = o**3 + o**2. Let a = -50 + 49. Let l(c) = a*r(c) + 2*x(c). Factor l(p).
(p - 7)**2*(2*p + 1)
Let t be (-10)/2 - (-8 + 3). Let p be t - (-8 - 24/(-4)). Determine z so that -6/11*z - 2/11*z**3 - 2/11 - 6/11*z**p = 0.
-1
Let w be (8/(-5))/((-328)/20 - -16). Let v(g) = 5*g. Let x be v(1). Factor 0 + 2/13*p**2 - 2/13*p**w + 0*p - 2/13*p**x + 2/13*p**3.
-2*p**2*(p - 1)*(p + 1)**2/13
Determine b so that 5099*b**2 + 5*b + 7*b - 5098*b**2 = 0.
-12, 0
Factor -40/3*u + 5/3*u**2 + 5/3*u**3 - 20.
5*(u - 3)*(u + 2)**2/3
Let r be 8024/22302 - (-4)/(-54). Determine s so that r*s + 0 + 1/7*s**3 - 3/7*s**2 = 0.
0, 1, 2
Let x(u) be the third derivative of u**6/40 + 2*u**5/5 + 5*u**4/8 - 7*u**3 - 664*u**2. Factor x(k).
3*(k - 1)*(k + 2)*(k + 7)
Let m be (-14)/(-49) + 0/11. Factor 12/7*t**3 + 13/7*t - m - 23/7*t**2.
(t - 1)*(3*t - 2)*(4*t - 1)/7
Let y(j) = -6*j - 10. Let h be y(-8). Let q = -75/2 + h. What is f in q*f**2 + 1 - 3/2*f = 0?
1, 2
Let w(l) be the second derivative of l**3 + 1/3*l**4 + l**2 - l + 0 - 1/21*l**7 - 1/5*l**5 - 1/5*l**6. Factor w(r).
-2*(r - 1)*(r + 1)**4
Suppose -5*y + 5 = 2*h - 7*h, -3*y + 19 = 5*h. Determine v so that 2*v**2 - 2*v**2 - 3*v + h*v**3 - 2 + 2*v**2 + v = 0.
-1, 1
Let h(p) be the first derivative of -1/3*p**3 + 0*p - 2 + 1/108*p**4 + 0*p**2 + 1/3240*p**6 - 1/360*p**5. Let t(o) be the third derivative of h(o). Factor t(z).
(z - 2)*(z - 1)/9
Let r(h) = -4*h + 29. Let p be r(6). Suppose -p*c - 3*d + 18 = -4*c, 0 = 4*c + 3*d - 27. Factor -3 - 15/2*m - 3/2*m**c - 6*m**2.
-3*(m + 1)**2*(m + 2)/2
Let p = 5 + 0. Let 15*c**5 + 35*c**2 + 5*c + 65*c**4 + 8*c**p + 75*c**3 - 3*c**5 = 0. Calculate c.
-1, -1/4, 0
Determine p, given that 9*p**2 - 29*p**2 + 9*p**2 + 40*p + 2*p**2 - 36 + 5*p**2 = 0.
1, 9
Let b be (-2)/(-6) - 5/(-3). Find n such that 15 - 5 - 65*n + 65*n**b + 222*n**3 - 82*n**3 = 0.
-1, 1/4, 2/7
Let d(b) = b**3 + 21*b + 22. Let l(x) = -18*x**3 - 336*x - 354. Let z(w) = 33*d(w) + 2*l(w). Solve z(k) = 0 for k.
-2, -1, 3
Let i(x) = x**3 + 9*x**2 - 9*x + 10. Let w be i(-10). Let s be (w - -4)*21/12. Factor -c**2 - 2*c - 11 + s - 2*c.
-(c + 2)**2
Let b(f) = -4*f**2 - 40*f + 206. Let v(u) = -3*u**2 - 40*u + 205. Let q be 18/24*(-80)/(-12). Let j(r) = q*b(r) - 6*v(r). Solve j(m) = 0 for m.
10
Suppose 2*j - 3*a = 3, 2 = 29*j - 16*j - 2*a. Solve -2/7*c**3 + 0*c + j*c**2 + 0 = 0.
0
Solve -2295 - 252*r**2 + 196*r - 254*r**2 - 2507 + 504*r**2 = 0.
49
Factor 9/2*v**2 - 9/4*v**3 + 0 + 3/8*v**4 - 3*v.
3*v*(v - 2)**3/8
Let y(b) be the third derivative of b**8/20160 - b**7/2520 - 7*b**5/30 + 12*b**2. Let w(l) be the third derivative of y(l). Factor w(u).
u*(u - 2)
Let h be ((-1)/6)/((-2)/20). Suppose -79*w = 63*w - 167*w. Factor x + w - h*x**2.
-x*(5*x - 3)/3
Factor 4*g**3 + 0*g**2 + 0*g - 1/2*g**5 + g**4 + 0.
-g**3*(g - 4)*(g + 2)/2
Let i be 15/9*(-48)/(-200)*5. Find j, given that 4/7*j**4 + 4/7*j**i + 12/7*j - 8/7 - 12/7*j**3 = 0.
-1, 1, 2
Let s(q) = -3*q**5 - 5*q**4 + 11*q**3 + 18*q**2 - 5*q + 5. Let j(k) = k**5 + 3*k**4 - 5*k**3 - 9*k**2 + 2*k - 2. Let v(i) = -5*j(i) - 2*s(i). Factor v(h).
h**2*(h - 3)**2*(h + 1)
Suppose -23 - 173 = -98*i. Let q = -29 - -89/3. Find f, given that -4/3*f**5 - i*f**4 + 2*f**2 + q*f + 2/3*f**3 + 0 = 0.
-1, -1/2, 0, 1
Factor 40/3*v + 5/3*v**3 - 10*v**2 + 0.
5*v*(v - 4)*(v - 2)/3
Let p(k) be the third derivative of -k**8/756 + 11*k**7/945 + k**6/135 - k**5/3 + k**4/2 + 5*k**3 + 767*k**2. Solve p(c) = 0 for c.
-5/2, -1, 3
Let w = 1513/12 - 126. Let c(p) be the second derivative of -1/4*p**3 - w*p**4 + 4*p + 0 - 1/4*p**2. Determine f so that c(f) = 0.
-1, -1/2
Let x(p) = 240*p**2 +