uch that 96 - 2*b**3 - b**3 - 34*b**5 - 768*b + 0*b**3 + 1146*b**2 - z*b**2 - 228*b**4 - 5*b**5 = 0.
-4, 2/13, 1
Let g(u) be the second derivative of 9*u**5/40 - 8*u**4/3 + 19*u**3/36 + 7*u**2/6 - 394*u + 3. Factor g(j).
(j - 7)*(3*j - 1)*(9*j + 2)/6
Suppose 0 = l - 98*y + 100*y - 21, y + 3 = 4*l. Let v(g) be the third derivative of 0*g - 37/12*g**4 + 0 - 10/3*g**l - 40*g**2 - 7/30*g**5. Factor v(w).
-2*(w + 5)*(7*w + 2)
Let l be 6/(-84)*-7*10. Suppose -20*p**2 + 130*p - 35*p**2 - 75 + 12*p**3 - l - 7*p**3 = 0. What is p?
1, 2, 8
Solve 4996*r - 9360006 - 2/3*r**2 = 0 for r.
3747
Let w be (20 - 0)*(-137 + 117741/858). Factor -26/11 - 2/11*d**3 + w*d - 2*d**2.
-2*(d - 1)**2*(d + 13)/11
Let l(q) be the second derivative of -q**6/135 + 8*q**5/45 - 5*q**4/18 + 2*q + 450. Factor l(j).
-2*j**2*(j - 15)*(j - 1)/9
Let s(f) = -f**2 + 4*f. Let v(i) = -4*i**4 - 16*i**3 + 2*i**2 + 24*i. Let h(k) = 2*s(k) - v(k). Let h(j) = 0. Calculate j.
-4, -1, 0, 1
Factor 110*m - 182*m**2 - 49/2*m**3 - 16.
-(m + 8)*(7*m - 2)**2/2
Let r = -572 + 574. Suppose 11*v + r*v = 52. Solve -v*t**3 + 8*t**2 - 4/3*t**4 + 112/3*t + 32 = 0.
-2, 3
Let m(w) be the first derivative of w**4/4 - w**3/3 - 21*w**2/2 + 45*w + 5058. What is f in m(f) = 0?
-5, 3
Let c(y) be the third derivative of y**5/60 - 7*y**4/24 - 49*y**3/3 - 15*y**2 + 16*y. Find z such that c(z) = 0.
-7, 14
Suppose -4*q + 53795 = -3*h, 3*q + 11*h - 40349 = 16*h. Let 272*i - 187*i - 2*i**2 + 243*i - q = 0. What is i?
82
Suppose -5*b = -1 - 14. Let y = 109 + -107. Factor y*v - 9*v**b + 3*v**3 + 2*v**5 + 2*v**3.
2*v*(v - 1)**2*(v + 1)**2
Let r(x) be the third derivative of -1922*x**3 + 0*x - 1/20*x**5 + 31/2*x**4 + 0 + 153*x**2. Factor r(c).
-3*(c - 62)**2
Let g be (2104/1578)/(15/36). Factor 72/5*o**3 + 6/5 - 58/5*o**4 + g*o**5 - 28/5*o**2 - 8/5*o.
2*(o - 1)**4*(8*o + 3)/5
Let j(a) be the third derivative of a**7/2240 + 3*a**6/160 + 3*a**5/16 + 7*a**4/8 + 41*a**3/3 - 94*a**2. Let m(i) be the first derivative of j(i). Factor m(v).
3*(v + 2)**2*(v + 14)/8
Let w(x) = -x**3 + 18*x**2 - 69*x + 595. Let p be w(16). Let i(q) be the second derivative of 0*q**2 - 1/9*q**p + 38*q + 0 - 1/90*q**4. Factor i(l).
-2*l*(l + 5)/15
Let a(u) = -u**2 + u - 1. Let j be (-86)/(-129) + (-5)/3. Let m(n) = 3*n**2 + 8*n + 11. Let s(k) = j*m(k) - 2*a(k). Determine g, given that s(g) = 0.
-9, -1
Suppose 981603*l + l**4 + 516*l**2 - 982619*l + 672 + 0*l**4 - 90*l**3 = 0. What is l?
2, 84
Let o(c) be the first derivative of -2*c**3/57 - 15*c**2/19 + 2852*c/19 - 3218. Factor o(n).
-2*(n - 31)*(n + 46)/19
Let p(l) be the second derivative of l**5/4 - 25*l**4/12 - 35*l**3/3 - 1070*l. Factor p(m).
5*m*(m - 7)*(m + 2)
Let c = 6760636081/11549115655 - -6/7673831. Let q = c + -3/215. Find b such that -4/7*b + 24/7*b**3 - q*b**2 + 0 = 0.
-1/3, 0, 1/2
Let v(r) be the first derivative of 0*r + r**2 - 70 - 2/3*r**3. Factor v(z).
-2*z*(z - 1)
Let k(t) be the first derivative of -14*t**2 + 52*t + 1/3*t**3 + 259. Factor k(y).
(y - 26)*(y - 2)
Let j(d) be the second derivative of d**7/126 + 13*d**6/360 - 37*d**5/240 - 53*d**4/72 - d**3/3 + 7926*d. Solve j(m) = 0 for m.
-4, -2, -1/4, 0, 3
Let x = 1537411/7 - 219613. What is m in x + 4/7*m**2 + 52/7*m = 0?
-10, -3
Let g be 0*(6 + -7)/1. Suppose g = 3*o + 2*k - 13, -37*k + 35*k = -5*o + 27. Find h such that 0 + 6/7*h**3 - 6/7*h**4 - 2/7*h**2 + 0*h + 2/7*h**o = 0.
0, 1
Let w(i) be the first derivative of 5*i**2 + 6*i - 39 - 1/2*i**4 + 2/3*i**3. Factor w(k).
-2*(k - 3)*(k + 1)**2
Let y(d) be the first derivative of -d**6/84 - d**5/420 + d**4/42 - 50*d**3/3 - 93. Let m(x) be the third derivative of y(x). What is u in m(u) = 0?
-2/5, 1/3
Let p = 54 + -46. Suppose 0 = i + 5*n - p, 3*i - 4 = 5*n - 0. Factor -17*g**i - g**5 + 3*g**4 + 7*g - 3*g**2 - 5*g + 16*g**3.
-g*(g - 2)*(g - 1)**2*(g + 1)
Let i(h) be the third derivative of -10*h**2 - 1/60*h**5 + 0*h + 4 - 1/6*h**4 + 0*h**3. Factor i(n).
-n*(n + 4)
Let z be -1 + 3 - 20448/10240. Let p(q) be the third derivative of -1/560*q**7 + 0*q**4 + 0 - 4*q**2 + 0*q**3 + z*q**6 + 0*q + 1/80*q**5. Factor p(b).
-3*b**2*(b - 2)*(b + 1)/8
Let s(y) be the second derivative of -y**6/135 - 34*y**5/3 - 14450*y**4/3 + 3621*y. Let s(j) = 0. Calculate j.
-510, 0
Let k(l) = l**2 - 182*l + 3255. Let j be k(20). Solve 5/3*i**3 + 0 - 50/3*i + j*i**2 = 0.
-10, 0, 1
Suppose 0 = -99*q + 240*q. Let c(h) be the third derivative of -1/330*h**5 + 13*h**2 + 0*h + 0*h**4 + q + 4/33*h**3. Factor c(d).
-2*(d - 2)*(d + 2)/11
Let t(d) = d**3 + 5*d**2 + 5*d + 7. Suppose -2*v + 0 - 8 = 0. Let k be t(v). Factor 0*w**3 - 5*w**5 + w**k + 4*w**5.
-w**3*(w - 1)*(w + 1)
Let u(y) be the first derivative of -6*y**2 + 8*y - 3/8*y**4 - 70 + 13/6*y**3 + 1/40*y**5. Suppose u(p) = 0. Calculate p.
2, 4
Let s(r) be the first derivative of 0*r - 200 - 1/14*r**4 + 4/7*r**3 - 8/7*r**2. Determine f so that s(f) = 0.
0, 2, 4
Suppose 2*s = 4*j + 146, s + 200 = -10*j + 5*j. Let o be 6/j + 7/((-364)/(-424)). Factor 4*t**3 + 3*t**5 + t**5 - 6*t**3 + o*t**4 + 6*t**3.
4*t**3*(t + 1)**2
Suppose -12*b = -13*b + 2. Suppose 17 = b*n - n - 5*r, -2*n + r = -7. Find d such that -4*d**n - d**3 + d**3 - 3*d**3 + d**3 = 0.
-2, 0
Let w(q) = -193*q**3 - 2206*q**2 - 43524*q - 18262. Let x(m) = 80*m**3 + 1102*m**2 + 21762*m + 9130. Let d(t) = 2*w(t) + 5*x(t). Factor d(c).
2*(c + 39)**2*(7*c + 3)
Suppose 15*x**2 - 27/2*x - 3/2*x**4 - 3/2*x**5 + 15*x**3 - 27/2 = 0. What is x?
-3, -1, 1, 3
Let r be (48/308)/(234/286). Let g(l) be the second derivative of 0*l**2 - 7*l + 0 + 4/21*l**3 + 1/105*l**6 + 1/14*l**5 + r*l**4. Factor g(k).
2*k*(k + 1)*(k + 2)**2/7
Let v(h) be the first derivative of 3*h**5/5 - 33*h**4/4 + 39*h**3 - 135*h**2/2 - 461. Factor v(o).
3*o*(o - 5)*(o - 3)**2
Let a(o) be the second derivative of -10/3*o**3 + 1/6*o**4 - 84 + 2*o + 24*o**2. Factor a(p).
2*(p - 6)*(p - 4)
Let y(x) = 8*x**3 + 1826*x**2 + 1226*x + 10. Let s(w) = -9*w**3 - 1826*w**2 - 1228*w - 12. Let f(b) = 5*s(b) + 6*y(b). Determine p so that f(p) = 0.
-608, -2/3, 0
Let x(m) be the first derivative of 0*m**5 + 16*m**2 + 0*m - 4*m**4 + 0*m**3 + 43 + 1/3*m**6. Factor x(k).
2*k*(k - 2)**2*(k + 2)**2
Let b(t) be the first derivative of -7/6*t**4 - 11*t + 6/5*t**2 + 11/15*t**3 + 4. Let n(u) be the first derivative of b(u). Determine i, given that n(i) = 0.
-2/7, 3/5
Let q(m) be the second derivative of 10*m**3 - 2/21*m**7 - 14/5*m**5 - 9*m - 13 + 50*m**2 - 34/3*m**4 + 6/5*m**6. Determine u, given that q(u) = 0.
-1, 1, 5
Let s = 32337 - 64673/2. Find v, given that 3/8 + s*v**2 - 13/8*v = 0.
1/4, 3
Suppose -1449*s + 1443*s + 120 = 0. Let d = -39 - -70. Factor -50*r**2 + d*r + s - 11*r + 55*r**2.
5*(r + 2)**2
Let f(g) be the first derivative of -g**4/2 + 670*g**3/3 - 28223*g**2 + 55778*g + 1772. What is k in f(k) = 0?
1, 167
Let m(o) = o**2 - 3*o. Let c(i) = 17*i + 104. Let g be c(-6). Let r(v) = -4*v**2 + 10*v - 2. Let b(p) = g*m(p) + r(p). Factor b(d).
-2*(d - 1)**2
Let y be ((-44)/18 + 2)*2358/(-524). Let j = 39 - 23. Factor -20*t + 21*t**3 - 42*t**3 + 20*t**y + j*t**3.
-5*t*(t - 2)**2
Let f(w) = -1934*w + 3868. Let u be f(2). Suppose 5*p - 15 - 5 = 0. Find a, given that -18*a**2 + 6*a**3 - 2/3*a**p + u + 18*a = 0.
0, 3
Let w(u) be the second derivative of -2*u**6/195 + 31*u**5/130 - 46*u**4/39 + 33*u**3/13 - 36*u**2/13 + 4677*u. Solve w(t) = 0.
1, 3/2, 12
Suppose -53 - 1046 = -3*i - 5*s, 2*s - 1484 = -4*i. Factor 269 + 197 + 34 - 327*l - i*l + 245*l**2.
5*(7*l - 10)**2
Let v(c) = 3*c**2 - 2*c + 1. Let q be v(1). Let i = 495668/743529 + 6/247843. Let -4/3 - 2*b - i*b**q = 0. Calculate b.
-2, -1
Suppose 29*l - 16*l - 91 = 0. Suppose 3*t + l - 1 = -2*s, 3*s + 6 = -3*t. Factor 2/11*h**2 + s - 2/11*h.
2*h*(h - 1)/11
Suppose -9 = -3*u, -21 = -y + 3*u - 10. Determine i, given that 24*i + y*i**2 - 29*i**2 + 13*i**2 + 3*i**3 + 23*i**2 = 0.
-8, -1, 0
Let i = -29/133 - -124/133. Let h(c) be the first derivative of -9/14*c**2 - 3/28*c**4 + 0*c + 3/35*c**5 - i*c**3 + 21. Suppose h(u) = 0. What is u?
-1, 0, 3
Let -156/5*v**3 - 16/5*v**4 + 1164/5*v - 136/5*v**2 - 56 = 0. Calculate v.
-7, -5, 1/4, 2
Let g(x) be the third derivative of x**5/12 - 25*x**4/4 - 340*x**3/3 - 84*x**2 - 6. Suppose g(d) = 0. What is d?
-4, 34
Determine o, given that 1/2*o**2 + 37/2*o + 18 = 0.
-36, -1
Let u(i) = 153*