vative of -u - 1/2*u**5 + 0*u**2 - 4*u**3 + 16 - 16/3*u**4. Factor f(l).
-2*l*(l + 6)*(5*l + 2)
Suppose 3*y = 65*y. Let z(h) be the second derivative of 3/2*h**2 + 1/12*h**3 - 1/24*h**4 + y + 18*h. Find v such that z(v) = 0.
-2, 3
Let i be 325/45 + (-4)/18. Let c be (5 - 7)/(4/6) + i. Factor t**2 + 5*t**c + 11*t**2 - 15*t**3 - 2*t**2.
5*t**2*(t - 2)*(t - 1)
Suppose 4*g - 30 = x - 19, 2*x - 5*g + 7 = 0. Suppose 19 - 37 = -x*c. Factor 1/5*q**3 + 9/5*q**c + 3*q - 5.
(q - 1)*(q + 5)**2/5
Let -2/5*p**3 + 174/5*p - 288/5 - 4*p**2 = 0. What is p?
-16, 3
Let w(s) be the third derivative of -17*s**6/60 + 137*s**5/30 - 10*s**4 - 5*s**2 - 4*s - 31. Factor w(i).
-2*i*(i - 1)*(17*i - 120)
Let q = 242 - 263. Let l be (50/4)/(31 + q). Suppose -65/4*x**2 - l*x**4 + 15*x - 5 + 15/2*x**3 = 0. What is x?
1, 2
Let o(w) = -2*w**2 - 32*w + 64. Let z be o(-16). Determine f so that -2*f**4 - 2252/9*f**2 + 418/9*f**3 - 704/3*f + z = 0.
-1, 2/9, 12
Let b be 2/3 - (-2)/24. Let z = -214541/4 - -53636. Factor -z*q**4 + 0*q + 0 - b*q**3 + 3/2*q**2.
-3*q**2*(q - 1)*(q + 2)/4
Suppose 40 = 5*j + 5*t, -j + 2*t - 8 + 1 = 0. Factor u**4 + 2*u**2 + 45*u**j - 196 - 140*u + u**2 - 2*u**4 - 35*u**3.
-(u - 7)**2*(u + 2)**2
Let o(p) = -31*p + 1. Let w be o(-2). Let d be 20/w*12*(-3)/(-4). Factor 0 - 8/7*u - d*u**2 + 4*u**3.
4*u*(u - 1)*(7*u + 2)/7
Determine k so that -3*k**4 + 112/3 - 41/3*k**3 + 4*k**2 + 52*k = 0.
-4, -14/9, -1, 2
Let x(g) be the first derivative of 2*g**3/3 - 7*g**2 - 240*g - 884. Factor x(w).
2*(w - 15)*(w + 8)
Let h(f) be the third derivative of 0*f + 2/105*f**7 + 2/3*f**3 + 0*f**6 + 0 + 50*f**2 + 0*f**4 - 2/15*f**5. Factor h(g).
4*(g - 1)**2*(g + 1)**2
Let t(i) = -11*i**3 + 30*i**2 + 123*i + 170. Let q(r) = 24*r**3 - 61*r**2 - 245*r - 340. Let y(b) = 6*q(b) + 13*t(b). Factor y(a).
(a + 2)*(a + 5)*(a + 17)
Let 159*c**3 + 10912*c + 4086*c**2 - 63*c**5 + 682*c**2 + 7744 - 45*c**4 + 305*c**3 + 65*c**5 - 31*c**4 = 0. What is c?
-2, 22
Let t = 8689/216 + -1085/27. Let s(i) be the second derivative of 5/6*i**3 + 0 - 7*i - 25/4*i**2 - t*i**4. Factor s(a).
-(a - 5)**2/2
Let v = -75129 + 75141. Find i, given that v + 3/2*i**2 + 9*i = 0.
-4, -2
Let i = 2085205/4 + -521300. Factor 1/4*d**4 - 7/4*d + 9/4*d**2 - i*d**3 + 1/2.
(d - 2)*(d - 1)**3/4
Find b such that -82416*b - 3602 - 19336 - 67174*b**2 + 27186*b**2 + 808*b**3 - 4*b**4 - 18678 = 0.
-1, 102
Let u(q) be the first derivative of q**4/5 + 40*q**3/3 - 426*q**2/5 + 648*q/5 + 1502. Determine p so that u(p) = 0.
-54, 1, 3
Let q(f) be the second derivative of f**7/63 - 17*f**6/45 + 21*f**5/10 + 245*f**4/18 - 1372*f**3/9 - 194*f - 8. Suppose q(u) = 0. What is u?
-4, 0, 7
Let u(k) = -16*k**3 - 68*k**2 - 32*k + 107. Let o(d) = 2*d**3 + 2*d**2 - 1. Let z(s) = 3*o(s) + u(s). Factor z(h).
-2*(h - 1)*(h + 2)*(5*h + 26)
Suppose -3*r - 9 = f + 3, 0 = 4*f + 5*r + 13. Factor 4*h - 3*h**5 - 51*h**2 + 9*h**3 + 66*h**2 + 2*h - f*h**4.
-3*h*(h - 2)*(h + 1)**3
Determine s so that 198*s**3 - 420*s**2 + 89042 - 78*s**3 - 43677*s - 61*s**3 - 60*s**3 = 0.
-211, 2
Let b = 154 - 151. Factor -3*d**3 + d**2 + 3*d + 0*d**b + d**4 + 2*d**4 - 4*d**2.
3*d*(d - 1)**2*(d + 1)
Let c(f) be the second derivative of -22/5*f**5 - 61*f - 16/15*f**6 - 6*f**3 + 0*f**2 + 0 - 8*f**4 - 2/21*f**7. Let c(l) = 0. Calculate l.
-3, -1, 0
Let h(u) = -u**3 - 15*u**2 - 2*u - 6. Let i be h(-15). What is f in -85*f**2 + f - 27*f**3 + 140*f - 113*f**2 - i = 0?
-8, 1/3
Factor 352*u + 368*u + 348*u + 95052 + 3*u**2.
3*(u + 178)**2
Let m = 16300 - 114098/7. Determine s so that -m*s**4 + 2/7*s**3 - 2/7*s**5 + 2/7*s**2 + 0 + 0*s = 0.
-1, 0, 1
Let m = -883805/6 + 147301. Factor -2/3 + 2/3*g - m*g**2.
-(g - 2)**2/6
Let w = -2/85423 + -321959275/512538. Let y = -628 - w. Determine z, given that 9/2*z + y*z**3 + 9/2 + 3/2*z**2 = 0.
-3
Let r(y) be the third derivative of 1/18*y**4 + 78*y**2 + 0 + 0*y - 1/90*y**6 + 2/9*y**3 - 1/60*y**5 - 1/630*y**7. Factor r(a).
-(a - 1)*(a + 1)*(a + 2)**2/3
Let f(z) be the third derivative of 12 - 2*z**2 + 1/540*z**6 + 196/9*z**4 - 14/45*z**5 - 21952/27*z**3 + 0*z. Suppose f(i) = 0. What is i?
28
Let m(o) be the third derivative of -o**6/720 - 7*o**5/45 + 1445*o**4/144 + 125*o**3/3 - 3046*o**2. Suppose m(d) = 0. What is d?
-75, -1, 20
Let 371*i**2 - 2567 + 16*i**3 + 767 + 1575*i**2 + 1626*i**2 - 6308*i = 0. What is i?
-225, -1/4, 2
Factor 54/7*l - 3/7*l**2 + 120/7.
-3*(l - 20)*(l + 2)/7
Let t = -693 - -693. Let u(o) be the first derivative of t*o - 1/3*o**2 + 1/6*o**4 + 2/9*o**3 - 2/15*o**5 - 6. Factor u(m).
-2*m*(m - 1)**2*(m + 1)/3
Solve -41*i**3 - 1/2*i**4 - 120*i**2 - 119*i - 79/2 = 0.
-79, -1
Suppose -4*p + 3*i + 50 = 0, -19 = -p + 3*i - 2. Let d be 1/(p/8 - 30/240). Factor -d + 2/15*b**2 - 2/15*b.
2*(b - 3)*(b + 2)/15
Factor 35*a**2 - 4*a**3 - 23*a**2 + 10*a**2 + 6*a**2 + 240*a.
-4*a*(a - 12)*(a + 5)
Let c be 4/24 + (-113)/(-6). Let k(z) = z**3 - 19*z**2 - z + 27. Let l be k(c). Determine t so that 6*t**2 - 6 + l*t - 15*t**3 + 0*t**3 + 0 + 7*t = 0.
-1, 2/5, 1
Factor 1710*o - 5/6*o**2 + 0.
-5*o*(o - 2052)/6
Let d(q) = 10*q**2 - 30*q + 75. Let g(x) = x**2 + 39*x - 116 - 5*x**2 - 7*x + 41 - 5*x**2. Let o(r) = -4*d(r) - 5*g(r). Find y such that o(y) = 0.
3, 5
Let t = 13773 - 330551/24. Let a(l) be the third derivative of 0*l + 34*l**2 - t*l**6 + 5/24*l**4 - 1/4*l**5 + 5/2*l**3 + 0. Factor a(b).
-5*(b - 1)*(b + 1)*(b + 3)
Let n(p) = 2*p**3 + 28*p**2 - 32*p - 21. Let s be n(-15). Suppose s = -3*o + 6*o. Find l such that 2/5*l**2 + 2/5*l + 0 - 2/5*l**o - 2/5*l**4 = 0.
-1, 0, 1
Let q = -473022 + 473022. Factor q*h + 0 - 3/5*h**2.
-3*h**2/5
Let q(v) = 3*v**3 - 5*v**2 + 3*v. Let y(a) = -a**4 + a**3 - a. Let w(m) = -2*m**2 + 12*m - 3. Let p be w(6). Let z(s) = p*y(s) - 3*q(s). Factor z(u).
3*u*(u - 2)*(u - 1)**2
Suppose 0 = 35*p - 34*p - 2*k - 13, -5*p - 2*k + 5 = 0. Let m(z) be the first derivative of -270*z**p + 6 - 1215/4*z**4 - 90*z**2 - 40/3*z. Factor m(g).
-5*(9*g + 2)**3/3
Let o = 13059/9532 - 286/2383. Find i such that -o*i + 1 + 1/4*i**2 = 0.
1, 4
Find t, given that -69/4*t**3 - 393/8*t**2 + 3/8*t**4 + 11385/2*t + 81675/2 = 0.
-10, 33
Let j(d) be the third derivative of d**6/780 - d**5/390 - d**4/6 - 8*d**3/13 - d**2 + 425*d. Let j(i) = 0. Calculate i.
-4, -1, 6
Let m = 2491 + -2487. Let p(z) be the first derivative of -12 + 3/2*z - 3/4*z**2 + 3/8*z**m - 1/2*z**3. Factor p(x).
3*(x - 1)**2*(x + 1)/2
Let a(n) = -15*n + 15. Let f(y) = 3*y - 2. Let s(l) = -2*a(l) - 15*f(l). Let h be s(0). Factor h + 1/12*v**2 + 0*v + 1/12*v**5 - 1/12*v**4 - 1/12*v**3.
v**2*(v - 1)**2*(v + 1)/12
Suppose 32*c - 10/3*c**4 + 86/3*c**3 + 0 - 208/3*c**2 = 0. Calculate c.
0, 3/5, 4
Let y = 92643 + -277915/3. Let y*k**2 + 5/3*k**3 + 0 + 3*k = 0. Calculate k.
-9/5, -1, 0
Let k(x) be the third derivative of -9/25*x**5 + x - 1/30*x**6 + 0 + 9*x**2 - 8/5*x**3 - 4/3*x**4. Let k(d) = 0. Calculate d.
-3, -2, -2/5
Suppose 5 + 51*w**3 - 122*w**3 - 6220*w**2 - 5 - 1934420*w + 66*w**3 = 0. What is w?
-622, 0
Suppose 2*b - 22 = -4*c, -3 = 3*c - 5*b - 0. Suppose 437*x + 36 = 446*x. Factor p**4 + 48*p**3 - 18*p**3 + c*p**x + 45*p**2.
5*p**2*(p + 3)**2
Let r(w) be the third derivative of 0*w - 17/120*w**5 + 112*w**2 - 10/3*w**4 - 1/480*w**6 + 0 - 64/3*w**3. Find d such that r(d) = 0.
-16, -2
Suppose 11*q + 5*q + 3 = 23*q - 6*q. Solve -1/3*d**q - 10/3*d**2 - 28/3*d - 8 = 0 for d.
-6, -2
Let z = 708972/13 + -54536. Factor -2/13*m**3 - 6/13*m**2 - z*m + 0.
-2*m*(m + 1)*(m + 2)/13
Let g(h) be the third derivative of h**6/200 + h**5/5 - 15*h**4/8 - 225*h**3 - h**2 + 2*h - 63. Factor g(r).
3*(r - 10)*(r + 15)**2/5
Let f = -296354 + 296356. What is w in -4/5*w**f - 8/5*w**3 + 0*w + w**4 + 0 = 0?
-2/5, 0, 2
Let q(y) be the first derivative of -y**3/15 + 6*y**2 - 116*y/5 + 1883. Let q(f) = 0. What is f?
2, 58
Let m(h) = -10*h**3 - 5695*h**2 + 5580*h - 25. Let x(k) = k**3 + 712*k**2 - 698*k + 3. Let o(g) = -3*m(g) - 25*x(g). Suppose o(d) = 0. What is d?
0, 1, 142
Factor -2*a**2 + 16*a**2 + 442*a - 11*a**2 - 48841 - 4*a**2.
-(a - 221)**2
Let k be 9 + (-11 - -7)/(2/3). Let m be -8 + -6 + 11 + k. Factor 0 + 2*t**4 + m*t - 2/3*t**5 + 0*t**2 - 4/3*t**3.
-2*t**3*(t - 2)*(t - 1)/3
Let n(p) be the first derivative of 0*p**4 - 4/19*p**3 + 2/95*p**5 - 6/19*p + 89 - 8/19*p**2. Factor n(c).
2*(c - 3)*(c + 