-2*w**4 + 4*w**2. Let t = 66 + -77. Let f(v) = 6*v**4 - v**3 - 11*v**2. Let h(d) = t*b(d) - 4*f(d). Determine y so that h(y) = 0.
0, 2
Find q, given that -157*q**2 - 37*q**3 + 88*q + 323*q**4 - 161*q**4 - 164*q**4 = 0.
-11, -8, 0, 1/2
Suppose -10*f + 9*f - 9 = -3*y, 2*f = 2*y - 2. Let m be 3*(-6)/42*(-21)/18. Let 0 + m*c - 3/4*c**2 + 0*c**f + 1/4*c**4 = 0. Calculate c.
-2, 0, 1
Let d(o) be the first derivative of -11/10*o**4 + 24/5*o**2 + 33 - 8/5*o - 6/5*o**3. Let d(c) = 0. Calculate c.
-2, 2/11, 1
Factor 1516/25*y + 2/25*y**3 + 1008/25 + 102/5*y**2.
2*(y + 1)*(y + 2)*(y + 252)/25
Let z(n) be the third derivative of -n**6/480 + 61*n**5/80 - 121*n**4/32 + 181*n**3/24 - 2002*n**2. Factor z(s).
-(s - 181)*(s - 1)**2/4
Let d be (-16)/(-72)*(13 + -4). Let w(o) be the second derivative of -21*o - 1/42*o**4 - 4/7*o**3 + 0 - 36/7*o**d. Factor w(y).
-2*(y + 6)**2/7
Let m(z) be the first derivative of -2*z**3/9 + 148*z**2/3 - 10952*z/3 - 134. Solve m(j) = 0 for j.
74
Let p(u) be the second derivative of -u**6/180 + 7*u**5/30 - 49*u**4/12 + 2*u**3/3 - u**2 - 6*u. Let r(o) be the second derivative of p(o). Factor r(l).
-2*(l - 7)**2
Let f(j) be the first derivative of -7/2*j**4 + 7/5*j**5 - 9*j - 128 + 2/3*j**3 - 1/6*j**6 + 15/2*j**2. Factor f(l).
-(l - 3)**2*(l - 1)**2*(l + 1)
Let w(v) = -3 + 5 - 1. Let t(l) = 2*l**2 + 4*l - 9. Suppose -4*i = -5*s + 7, s + 3 = -3*i + 12. Let d(c) = i*t(c) + 22*w(c). Factor d(a).
4*(a + 1)**2
Let b(u) be the third derivative of -u**7/140 - 33*u**6/20 - 89*u**5/4 - 471*u**4/4 - 1125*u**3/4 + 12157*u**2. Solve b(n) = 0 for n.
-125, -3, -1
Let v(k) = k**2 + 14*k + 27. Let w be v(-12). Let i be (-12684)/(-6795)*9/4. Factor 0 + i*o**2 - 3/5*o**w - 18/5*o.
-3*o*(o - 6)*(o - 1)/5
Let y = 650 - 648. Let -2*c**2 + 72 - 12*c**y + 95*c**4 + 9*c - 8*c**2 + 15*c - 4*c**3 - 93*c**4 = 0. What is c?
-2, 3
Let t(q) be the third derivative of q**5/40 - 25*q**3 + q**2 + 1075. Factor t(y).
3*(y - 10)*(y + 10)/2
Let j(v) be the third derivative of -v**7/70 + 26*v**6/5 - 2704*v**5/5 + 103*v**2. Find d, given that j(d) = 0.
0, 104
Let j be 3*(-1)/3*-1 + 4. Suppose 4*t = 20, j = 8*z - 5*z + t. Solve 5/2*r**2 + 15/2*r + z = 0 for r.
-3, 0
Let j(n) = -12*n**2 + 55*n - 27. Suppose 0*g + 5*i = -g + 45, g = -i + 25. Let c(a) = g - 12*a**2 + 25*a**2 - 55*a + 8. Let h(z) = 3*c(z) + 2*j(z). Factor h(l).
5*(l - 3)*(3*l - 2)
Let c be (-5)/(-7 + (-115)/(-20)). Let z be (c/(24/(-21)))/(50/(-60)). Find j, given that 27/5*j**2 + 3*j**3 - 6/5 - 3*j - z*j**4 = 0.
-1, -2/7, 1
Suppose 3836 = 135*q - 131*q. Let n = -3833/4 + q. Let n*f**2 - 3/4*f + 0 = 0. What is f?
0, 1
Let w(c) = c**2 - 234*c + 243. Let j(r) = -2*r**2 + 350*r - 364. Let a(k) = 5*j(k) + 8*w(k). Factor a(l).
-2*(l - 1)*(l + 62)
Let t = -110659 - -331981/3. Let 1/3*p**3 - 2*p**2 + 16/3 - t*p + 1/6*p**4 = 0. Calculate p.
-4, -2, 2
Let x = -2411/2 + 50635/42. Let u(q) be the first derivative of 1 - 16/7*q + x*q**3 + q**2. Factor u(f).
2*(f - 1)*(f + 8)/7
Let j(q) be the second derivative of 34/21*q**3 + 3*q + 6*q**2 - 45 - 5/21*q**4 - 1/35*q**5. Factor j(x).
-4*(x - 3)*(x + 1)*(x + 7)/7
Let -1/5*l**4 + 32/5*l + 17/5*l**3 - 78/5*l**2 + 128/5 = 0. Calculate l.
-1, 2, 8
Factor -269/10*n - 267/5 - 1/10*n**2.
-(n + 2)*(n + 267)/10
Suppose -7 = 2*o - t, 11941 = 4*o - 5*t + 11988. Let d be (-2 - -6) + (-3 - -2). Factor -1/2*p**o + d - 5/2*p.
-(p - 1)*(p + 6)/2
Let o(c) be the third derivative of 16*c**6/135 - 4*c**5/15 + c**4/4 - 14*c**3/3 - 79*c**2. Let y(f) be the first derivative of o(f). Factor y(s).
2*(8*s - 3)**2/3
Let l(h) = 2*h**2 + 43*h + 198. Let o be l(-15). Let g = -20 + 24. Suppose 0 + 5/2*m**o - 5/6*m**g - 5/2*m**2 + 5/6*m = 0. What is m?
0, 1
Suppose 0 = -74*c - 47*c. Let m(l) be the first derivative of 0*l + c*l**2 + 1/3*l**3 - 13. Suppose m(p) = 0. Calculate p.
0
Let n(s) = 78*s**2 + 339*s + 306. Let l(h) = -h**3 - 250*h**2 - 1017*h - 918. Let j(c) = 3*l(c) + 10*n(c). What is d in j(d) = 0?
-6, -1, 17
Suppose -796*z + 2625 = -803*z. Let g = z + 378. Factor 2/5*k**g + 14*k + 98/5 - 26/5*k**2.
2*(k - 7)**2*(k + 1)/5
Let y(l) be the second derivative of -7*l**6/30 + 117*l**5/20 + 17*l**4/6 - 339*l. Factor y(s).
-s**2*(s - 17)*(7*s + 2)
Let s(k) be the first derivative of 1/36*k**6 + 108 + 0*k**5 + 0*k**3 + 0*k - 1/12*k**4 + 1/12*k**2. Factor s(a).
a*(a - 1)**2*(a + 1)**2/6
Let r(x) be the second derivative of 1 + 5/33*x**3 - 4/11*x**2 + 1/22*x**4 + 1/165*x**6 - 1/22*x**5 - 10*x. Let r(l) = 0. What is l?
-1, 1, 4
Find x, given that 268 + 412*x - 2*x**2 - 868 - 79*x**2 - 122*x**2 - 4*x**3 + 395*x**2 = 0.
-3, 1, 50
Suppose -821 = -8*i - 805. Suppose -11 = 10*q - 15*q - 2*h, 8 = 4*q + i*h. Factor 8/9*d + 0 + 8/9*d**2 + 2/9*d**q.
2*d*(d + 2)**2/9
Let q(b) = -308*b**4 + 4*b**3 - 100*b**2 + 64*b - 34. Let v(t) = -9*t**4 - t**3 - 1. Let f(s) = -2*q(s) + 68*v(s). Factor f(r).
4*r*(r - 16)*(r - 2)*(r - 1)
Let l = -88 + 93. Let h(b) be the third derivative of 0 + 1/12*b**l + 10/3*b**4 + 19*b**2 + 160/3*b**3 + 0*b. Determine y so that h(y) = 0.
-8
Let c(k) = 3*k**2 + 4*k - 20. Let h be c(-5). Let u(l) be the third derivative of 0 - 4/3*l**3 + 0*l + 2/15*l**5 - 1/48*l**6 - 1/12*l**4 - h*l**2. Factor u(o).
-(o - 2)**2*(5*o + 4)/2
Let w(p) be the first derivative of 1805*p**4/12 - 190*p**3/3 + 10*p**2 + 6*p + 72. Let c(n) be the first derivative of w(n). Factor c(z).
5*(19*z - 2)**2
Let w(k) = -72*k + 2. Let v be w(1). Let u be -1*99/(-21) + (-20)/v. Suppose u*c**4 + 30*c**3 + 45*c**2 + 57*c**2 - 40 - 30*c - 67*c**2 = 0. What is c?
-4, -2, -1, 1
Let o(z) = -20*z**3 - 11250*z**2 - 1596075*z - 2368830. Let i(q) = 30*q**3 + 16873*q**2 + 2394112*q + 3553245. Let d(c) = -5*i(c) - 8*o(c). Factor d(b).
5*(b + 281)**2*(2*b + 3)
Let j = -47 - -184. Let n = 140 - j. Factor -3*k - 4 - 12*k - 16 + 2*k**2 + n*k**2.
5*(k - 4)*(k + 1)
Let x be -48*2/(-8)*55. Let p = x + -660. Determine j so that p*j**2 + 0 + 2/5*j - 2/5*j**3 = 0.
-1, 0, 1
Let h(m) be the first derivative of -17 - 25/26*m**4 - 10*m**3 - 144/13*m**2 - 56/13*m. Factor h(u).
-2*(u + 7)*(5*u + 2)**2/13
Let b(s) be the third derivative of -s**8/2688 - 43*s**7/1680 - 13*s**6/24 - 299*s**5/120 + 5*s**4/6 + 100*s**3/3 - s**2 - 710. Determine j so that b(j) = 0.
-20, -2, 1
Let d(c) be the third derivative of -c**7/945 + 7*c**6/270 - 11*c**5/90 - 28*c**4/27 - 64*c**3/27 + 12036*c**2. Factor d(n).
-2*(n - 8)**2*(n + 1)**2/9
Let s(q) be the first derivative of -q**6/15 + 2*q**5/25 + q**4/2 - 2*q**3/3 - 4*q**2/5 + 8*q/5 - 2611. Find p such that s(p) = 0.
-2, -1, 1, 2
Let n(q) be the first derivative of 2*q**5/5 + 20*q**4 + 50*q**3 - 40*q**2 - 152*q + 12578. Let n(r) = 0. What is r?
-38, -2, -1, 1
Let j = 36959/9060 + -392/151. Let g = 33/20 - j. Factor g*a**4 - 3/2 + a**3 + 4/3*a**2 - a.
(a - 1)*(a + 1)*(a + 3)**2/6
Let v(l) be the first derivative of l**6/1800 - l**5/150 + l**4/40 - 10*l**3/3 - l + 14. Let r(t) be the third derivative of v(t). Factor r(i).
(i - 3)*(i - 1)/5
Let n(s) be the first derivative of -2*s**2 + 20/21*s**3 - 90 - 1/7*s**4 + 12/7*s. Factor n(j).
-4*(j - 3)*(j - 1)**2/7
Let o(g) be the second derivative of -g**4/3 - 74*g**3/3 - 140*g**2 - 307*g + 7. Solve o(n) = 0.
-35, -2
Let b = 137199 + -137196. Factor 5/3*k**b + 0*k**2 + 0*k - 1/3*k**4 + 0.
-k**3*(k - 5)/3
Suppose -7*t - 1 = -1. Suppose -5*b + t = -25. Factor 5*l**3 + 0*l + b*l**2 - 16*l**4 + 11*l**4 - 5*l.
-5*l*(l - 1)**2*(l + 1)
Let n(v) be the second derivative of 0 + 5/21*v**3 - 4/7*v**2 - 177*v - 1/42*v**4. Determine l, given that n(l) = 0.
1, 4
Let z be 986/10353*(-72 - 0)*-6. Let 2/7*r**3 - z + 46/7*r**2 + 240/7*r = 0. Calculate r.
-12, 1
Let u(y) be the second derivative of y**7/1575 + y**6/300 + y**5/225 - 59*y**2 + 9*y. Let c(i) be the first derivative of u(i). Find l such that c(l) = 0.
-2, -1, 0
Let c(h) be the second derivative of -2/5*h**2 + 0 + 11/15*h**3 + 7/50*h**5 - 8/15*h**4 + 55*h. Factor c(v).
2*(v - 1)**2*(7*v - 2)/5
Let x(p) be the third derivative of -p**6/96 - 161*p**5/24 - 3205*p**4/96 - 200*p**3/3 - 144*p**2 - 1. Find i such that x(i) = 0.
-320, -1
Let j(l) be the first derivative of l**6/720 + 37*l**5/120 + 1369*l**4/48 - 16*l**3/3 + 6*l - 155. Let q(r) be the third derivative of j(r). Factor q(z).
(z + 37)**2/2
Suppose -16*z - 96 = -22*z. Suppose 0 = -26*l + 