(v) + 6*k(v). Factor c(y).
4*y*(y - 144)*(y - 1)
Let d(x) = -x**2 - 10*x - 22. Let i be d(-6). Suppose -10*r + 11*r = i. Solve -6/5 - r*w + 4/5*w**2 = 0 for w.
-1/2, 3
Let o(c) be the first derivative of -c**3 - 1062*c**2 - 375948*c - 931. Factor o(a).
-3*(a + 354)**2
Suppose 22*k = 29*k - 91. Factor -12*h**2 + 5*h**4 + 30*h - 5*h**3 - 5*h**3 - k*h**2.
5*h*(h - 3)*(h - 1)*(h + 2)
Let j(f) be the first derivative of 12*f**3 - 2*f**4 - 5*f**2 - 14887 + 14734 - 3*f**2. Determine v, given that j(v) = 0.
0, 1/2, 4
Let p(m) = m**4 + 9*m**3 + 66*m**2 + 49*m. Let a = -510 + 507. Let h(i) = -2*i**3 + i**2. Let b(o) = a*h(o) + p(o). Factor b(d).
d*(d + 1)*(d + 7)**2
Let z = 127/18 - 50/9. Let u = -1/1231 - -1233/2462. Factor -w - u*w**2 + z.
-(w - 1)*(w + 3)/2
Let t(s) be the third derivative of s**7/315 - s**6/120 - 7*s**5/90 + 5*s**4/24 - 2*s**2 - 606. Find b, given that t(b) = 0.
-5/2, 0, 1, 3
Let x(y) = -33*y**2 - 49*y - 16. Let d(m) = 5 + 106*m + 0*m**2 - 90*m + 11*m**2. Let h(u) = 7*d(u) + 2*x(u). Factor h(t).
(t + 1)*(11*t + 3)
Suppose 3*p + 21 = 3*o, 19*o - 105 = 5*p - 42. Let 0 + 2*f + 7/3*f**5 + 59/3*f**3 - 37/3*f**4 - 35/3*f**o = 0. Calculate f.
0, 2/7, 1, 3
Let c(s) be the third derivative of 1/68*s**4 + 7/510*s**5 + 0 + 13*s**2 + 0*s + 0*s**3 + 1/1785*s**7 + 1/204*s**6. Factor c(z).
2*z*(z + 1)**2*(z + 3)/17
Suppose 5*q + 4*w + 127 = 41, 2*q + 32 = -w. Let l be 6/5*(-7)/q. Factor 2/5*z - 1/5*z**4 - 1/5*z**5 + 0 + z**2 + l*z**3.
-z*(z - 2)*(z + 1)**3/5
Let n(b) be the first derivative of 9/20*b**4 + 8/3*b**3 + 26/5*b**2 - 134 + 16/5*b. Factor n(g).
(g + 2)**2*(9*g + 4)/5
Let y(t) be the second derivative of 5*t**5/6 - 5105*t**4/18 - 4096*t**3/9 - 820*t**2/3 - 6*t + 54. Factor y(x).
2*(x - 205)*(5*x + 2)**2/3
Let k(v) = -v**2 + 29*v - 221. Let t(f) = f - 3. Let i(x) = 3*k(x) + 3*t(x). Factor i(h).
-3*(h - 16)*(h - 14)
Let i(o) be the second derivative of -o**5/15 + 68*o**4/9 + 278*o**3/9 + 140*o**2/3 - 5376*o. Factor i(u).
-4*(u - 70)*(u + 1)**2/3
Factor -1/9*b**2 - 160/9 + 82/9*b.
-(b - 80)*(b - 2)/9
Let b(y) = -9*y**5 + 3*y**3 - 18*y**2 + 12*y. Suppose -3 = 52*t - 49*t. Let o(u) = u**5 - u**4 + u**3 + u**2 - u. Let v(p) = t*b(p) - 12*o(p). Solve v(g) = 0.
0, 1, 2
Let q(t) be the third derivative of 0 + 0*t + 0*t**3 - 361/156*t**4 - 1/780*t**6 + 75*t**2 - 19/195*t**5. Let q(b) = 0. Calculate b.
-19, 0
Determine d so that -1911*d - 3*d**2 - 461*d - 268*d + 5292 = 0.
-882, 2
Let g(b) be the third derivative of 0*b**4 - 10*b**2 + 0*b - 1/20*b**5 + 0*b**3 + 0. Factor g(q).
-3*q**2
Let f(k) = -k**5 - 3*k**2 - k - 1. Let j(y) = -2*y**5 + 371*y**4 + 1474*y**3 + 2197*y**2 + 1466*y + 364. Let o(m) = -3*f(m) + j(m). Factor o(q).
(q + 1)**4*(q + 367)
Let o(a) = 20*a**3 - 620*a**2 + 120*a + 24. Let n(j) = 4*j**3 - 124*j**2 + 25*j + 5. Let s(c) = 24*n(c) - 5*o(c). Factor s(g).
-4*g**2*(g - 31)
Let g(i) be the second derivative of -i**6/70 + 27*i**5/140 - 25*i**4/28 + 27*i**3/14 - 15*i**2/7 + 8*i - 66. Solve g(a) = 0.
1, 2, 5
Factor -1/4*d**4 - 841 + 63/4*d**3 - 1135/4*d**2 + 4437/4*d.
-(d - 29)**2*(d - 4)*(d - 1)/4
Let b(q) be the first derivative of 2*q**2 + 247 + 3/10*q**5 - 2*q**3 + 1/4*q**4 + 0*q - 1/12*q**6. Find g, given that b(g) = 0.
-2, 0, 1, 2
Let t be ((-3497)/538 - -18) + ((-10)/(-2))/(2/(-4)). Find m, given that -1/2*m**2 + 2 + t*m = 0.
-1, 4
Suppose -3*a - 9 = 0, 5*w + a + a - 4 = 0. Let l be (-18)/(-4) + w + (-12 - -8). Factor 3/2*o**2 + 0*o + 0 - 1/6*o**5 - l*o**3 + 7/6*o**4.
-o**2*(o - 3)**2*(o - 1)/6
Let b(u) = -3*u**4 - u**3 - 2*u**2 + u. Let t(g) = -245*g**5 + 589*g**4 + 118*g**3 - 724*g**2 + 2*g. Let m(k) = -2*b(k) + t(k). Factor m(h).
-5*h**2*(h + 1)*(7*h - 12)**2
Let c(m) be the third derivative of 0*m + 98/15*m**3 - 29*m**2 + 29/300*m**5 - 1/600*m**6 - 28/15*m**4 + 0. Determine k so that c(k) = 0.
1, 14
Let o(l) be the second derivative of 3*l**5/20 + 5*l**4/2 + 8*l**3 - 6774*l. Factor o(r).
3*r*(r + 2)*(r + 8)
Let o be 185/200 + 145/725. Factor o*a**2 + 0 + 3/4*a**3 - 3/4*a.
3*a*(a + 2)*(2*a - 1)/8
Determine s so that -5084 - 6960*s - 17*s**3 - 4516 + 2*s**3 - 624*s**2 = 0.
-20, -8/5
Find k, given that 228*k - 238 + 21/2*k**2 - 1/2*k**3 = 0.
-14, 1, 34
Factor 0 + 145/2*r**4 + 675*r**3 - 2500*r + 5/2*r**5 + 1750*r**2.
5*r*(r - 1)*(r + 10)**3/2
Let y be (5 - -1)/((35 - -105)/35). Factor -y*d**2 + 15/2*d + 0.
-3*d*(d - 5)/2
Let h(c) be the first derivative of 6/5*c**5 - 8*c - 6*c**2 + 2/3*c**3 + 11/4*c**4 + 222 + 1/6*c**6. Factor h(l).
(l - 1)*(l + 1)*(l + 2)**3
Let d(m) = 420*m - 5. Let r be d(1). Let r*l**2 - 12756 - 3*l**3 - 20736*l + 17*l**2 + 263004 + 81528 = 0. What is l?
48
Suppose -544/5*s - 40*s**3 - 813/5*s**2 + 36/5 + 33/5*s**4 = 0. Calculate s.
-2, -1, 2/33, 9
Suppose -10*v + 14*v - 4 = 0. Let d = 1 + v. Factor -3*s**d + 8 - 7*s**2 + 6*s**2 - 14*s**2.
-2*(3*s - 2)*(3*s + 2)
Let h(d) = -2*d + 1. Let q(s) = -4*s**3 - 1008*s**2 - 63512*s + 4. Let p(m) = 4*h(m) - q(m). Factor p(t).
4*t*(t + 126)**2
Suppose -72 - 7 = -79*n. Let b be (4/(-6))/((-4)/6). Factor 6 - 11*q**2 + 19*q**2 + n - b - 14*q.
2*(q - 1)*(4*q - 3)
Let v be -1 + (-2 + 3 + 11 - 1). Let i(b) be the first derivative of 7*b**3 - 10*b**3 + 6*b**2 + 18 + 9*b**3 + 2*b**4 + v + 2*b. Determine p so that i(p) = 0.
-1, -1/4
Let b(i) be the first derivative of -8*i - 23 - 1/6*i**3 - 5/2*i**2. Factor b(n).
-(n + 2)*(n + 8)/2
Let d be (30*(-49)/2450)/(12/50)*-2. Solve 1/3*m**2 + 50/3 + d*m = 0.
-10, -5
Suppose 2*g + 2*i = -g + 16, -4*i = -8. Let p = -14 + 20. Factor -p*r**g - r**4 + 5*r**4 + 2*r**3.
-2*r**3*(r - 1)
Let w(g) be the second derivative of -5*g**4/4 - 110*g**3/3 + 75*g**2/2 - 1809*g. Factor w(m).
-5*(m + 15)*(3*m - 1)
Let k = -77465 + 77467. Factor -2/11*h**k - 4/11*h + 6/11.
-2*(h - 1)*(h + 3)/11
Suppose -2*v + 31 = -3*k, 5*k + 84 - 19 = 5*v. What is l in -16 - 11 - 1 + 16 - l**2 - v*l = 0?
-6, -2
Let r be (-3)/(-2)*2 - ((-44)/26 - (-1465476)/343707). Factor -r*m**2 + 0 - 93/7*m.
-3*m*(m + 31)/7
Let w(q) be the second derivative of -q**4/2 - 378*q**3/11 - 408*q**2/11 + 7924*q. Factor w(c).
-6*(c + 34)*(11*c + 4)/11
Suppose 3*t = -3*s + 18 + 3, 5*t = s + 11. Determine g so that 2 + t*g + 35325*g**2 - g**3 - 35325*g**2 = 0.
-1, 2
Let y be -8 + ((-9200)/(-500) - (-2 + -1 + -1)). Factor y - 192/5*g**2 + 20*g + 4*g**3.
4*(g - 9)*(g - 1)*(5*g + 2)/5
Let m(r) be the first derivative of 3*r**5/5 + 165*r**4/2 + 3237*r**3 + 17490*r**2 + 33708*r - 347. Factor m(h).
3*(h + 2)**2*(h + 53)**2
Let y(w) be the second derivative of 22*w + 2 - 1/2*w**2 + 5/24*w**3 - 1/48*w**4. Suppose y(f) = 0. Calculate f.
1, 4
Let f(j) = -18 + 2*j - 14 - 2 + 0 + 0*j. Let h be f(18). Determine v, given that -2/15*v**h - 10/3 + 4/3*v = 0.
5
Let k(w) be the third derivative of -7/18*w**4 + 32/9*w**3 - 5*w + 2*w**2 - 1/90*w**5 + 0. Solve k(v) = 0.
-16, 2
Let l(j) = 11*j + 1. Let f(i) = 10*i + 52. Let g(a) = f(a) - 5*l(a). Let n be g(1). Factor 1/3*h**3 + h**n + h + 1/3.
(h + 1)**3/3
Let t(g) be the second derivative of -g**5/10 - 19*g**4/3 - 227*g**3/3 - 310*g**2 + 7829*g. Solve t(c) = 0 for c.
-31, -5, -2
Let q be -33*(-8)/(-24) + 11. Let z(a) be the second derivative of 0*a**2 + 0*a**3 - 7*a - 1/70*a**5 + q*a**4 + 1/210*a**6 + 0 + 1/294*a**7. Factor z(n).
n**3*(n - 1)*(n + 2)/7
Let f = 24 - -50. Let c = 76 - f. Determine q, given that -c*q**3 - 3*q**3 + 5*q**3 - 2*q**3 + 21*q**2 + 25 - 60*q = 0.
1/2, 5
Let m(q) be the first derivative of 13*q - 81 + q**4 + 55*q**2 - 7*q**2 - 43 + 12*q**3 + 67*q. Suppose m(g) = 0. Calculate g.
-5, -2
Let o(b) = 8442*b**3 - 26142*b**2 + 2350*b - 50. Let y(v) = 8444*v**3 - 26139*v**2 + 2352*v - 51. Let s(i) = -3*o(i) + 4*y(i). Determine k, given that s(k) = 0.
3/65, 3
Let r = -10527/20 + 2632/5. Let j(x) be the first derivative of 0*x + 1/10*x**2 - 14 + r*x**4 + 2/15*x**3. What is a in j(a) = 0?
-1, 0
Let j = -1159 + 1228. Let q be (0 - -4)*(j/4)/23. Factor 2/3*t**q + 0 + 2/9*t**4 + 0*t**2 - 8/9*t.
2*t*(t - 1)*(t + 2)**2/9
Suppose -36*x - 142 = -34*x. Let u = 89 + x. Suppose -4*a + u*a**2 + 2 + a**3 - 6*a**2 + 3*a**3 - 14 = 0. Calculate a.
-3, -1, 1
Let f(b) = 10*b**2 + 46 + 32*b - 12 - 2*b**3 + 3*b**3. Let j(z) = 3*z**3 + 30*z**2 + 96*z + 103. Let x(l) = 14*f(l) - 4*j(l). Let x(h) = 0. What is h?
-4, -2
Let w(c) be the first derivative of -4*c**5/5 + 4*c**4 