be the third derivative of 14*p**2 + 22/3*p**4 + 0 + 0*p + 7/10*p**6 + 62/15*p**5 + 16/3*p**3. Let g(v) = 0. Calculate v.
-2, -2/3, -2/7
Let h(x) = -2*x**2 + 580*x - 42065. Let t(g) = g**2 - 290*g + 21031. Let b(d) = 2*h(d) + 5*t(d). Factor b(j).
(j - 145)**2
Let m = -1137 - -1138. Let c be (-21)/(-504)*44/m. Solve 35/6*p - 25/6 + 1/6*p**3 - c*p**2 = 0 for p.
1, 5
Let d = 1/5431 + 16291/10862. Let j(s) be the first derivative of -4*s - d*s**2 + 1/3*s**3 - 31. Solve j(b) = 0.
-1, 4
Let j(r) be the second derivative of r**7/84 + r**6/10 + 9*r**5/40 - r**4/6 - r**3 + 27*r + 5. Solve j(q) = 0.
-3, -2, 0, 1
Let o(g) be the first derivative of -131 + 9/10*g**2 - 1/20*g**4 - 1/5*g**3 - g. Factor o(l).
-(l - 1)**2*(l + 5)/5
Let x(f) = 95*f**3 + 225*f**2 + 28*f - 4. Let z(v) = v**3 - 3*v**2 - v - 2. Let g(c) = -x(c) - 4*z(c). What is u in g(u) = 0?
-2, -1/3, 2/11
Factor 1805 - 375522*h**2 - 206*h - 1594*h + 375517*h**2.
-5*(h - 1)*(h + 361)
Let p = 295155 + -295153. Let -1/3 + 1/6*f**p + 1/6*f = 0. What is f?
-2, 1
Let q(w) be the second derivative of -w**6/20 + 3*w**5/5 + 21*w**4/4 - 26*w**3 + 165*w**2/4 - 289*w - 3. Solve q(z) = 0 for z.
-5, 1, 11
Let y(o) be the third derivative of 5/24*o**4 + 1/60*o**5 - 162*o**2 + 0 + 0*o - o**3. Find n, given that y(n) = 0.
-6, 1
Factor 0 + 0*s + 2/5*s**3 - 48*s**2.
2*s**2*(s - 120)/5
Suppose 2*i - 5*c - 4 - 24 = 0, 2*i - 44 = -3*c. Factor 90*r - 108*r**3 - i*r**2 + 111*r**3 - 20*r**2.
3*r*(r - 10)*(r - 3)
Suppose 105/2 - 4*z - 1/2*z**2 = 0. What is z?
-15, 7
Suppose -26*h + 30*h - 252 = 0. Factor -h*q**2 + 141*q**2 - 73*q**2 + 360*q + 6480.
5*(q + 36)**2
Let d(w) be the first derivative of -4*w**3/15 + 256*w**2/5 + 516*w/5 - 1059. Factor d(h).
-4*(h - 129)*(h + 1)/5
Factor -338 - 343*d - 2*d**3 - 101 + 210*d**2 + 7*d**3 - 112*d - 221.
5*(d - 3)*(d + 1)*(d + 44)
Factor 1526*m + 124*m**3 + 9*m**5 - 1368*m**2 + 48*m**4 + 1066*m - 200*m**3 - 5*m**5.
4*m*(m - 4)*(m - 2)*(m + 9)**2
Let w = -831 + 834. Let y(h) be the second derivative of 0*h**5 + 0*h**2 + w*h + 0*h**3 + 1/42*h**7 - 1/30*h**6 + 0*h**4 + 0. Suppose y(z) = 0. Calculate z.
0, 1
Let n(g) be the second derivative of 0*g**2 + 0 + 1/3*g**3 - 2/9*g**4 + 1/30*g**5 + 34*g. Factor n(q).
2*q*(q - 3)*(q - 1)/3
Let h(u) = -5*u**3 - 2*u**2 - 3*u + 2. Suppose 2*j = -w + 1, 0 = -4*j + 5*w - 0*w + 9. Let f(a) = -a**3 - a. Let c(n) = j*h(n) - 4*f(n). Factor c(s).
-(s - 1)*(s + 1)*(s + 2)
Let y(g) be the first derivative of 634*g**3/15 + 318*g**2/5 + 2*g/5 + 8013. Factor y(t).
2*(t + 1)*(317*t + 1)/5
Let x(l) be the first derivative of -l**7/1260 - 4*l**6/135 + 17*l**5/180 + 22*l**3 - 27. Let c(y) be the third derivative of x(y). Solve c(z) = 0 for z.
-17, 0, 1
Suppose -3*j + 5*p + 67 = 0, -3312 = 5*p - 3257. What is r in 2/9*r**j + 0*r + 0 + 2/9*r**2 + 4/9*r**3 = 0?
-1, 0
Let h = 18 + 69. Factor -2*m + 5*m**2 - 30*m + h*m + 50.
5*(m + 1)*(m + 10)
Let r = -35391 - -35393. Factor -3 - 5/2*t - 1/2*t**r.
-(t + 2)*(t + 3)/2
Let v = -59305 - -770967/13. Factor -2/13*n**2 + 2/13*n**5 - 2/13*n**3 + v*n**4 + 0 + 0*n.
2*n**2*(n - 1)*(n + 1)**2/13
Let r(u) be the first derivative of 94 - 4/3*u - u**2 + 1/2*u**4 + 4/9*u**3. Determine n, given that r(n) = 0.
-1, -2/3, 1
Let c(h) = -93*h**3 - 2317*h**2 - 10725*h + 13033. Let k(s) = 38*s**3 + 927*s**2 + 4290*s - 5213. Let i(j) = -7*c(j) - 17*k(j). Find f, given that i(f) = 0.
-87, -6, 1
Factor -1/2*d**3 + 15/2*d**2 + 37/2*d - 51/2.
-(d - 17)*(d - 1)*(d + 3)/2
Let q(o) be the third derivative of 5/6*o**3 - 1/2*o**6 + 35/12*o**5 + 0 - o**2 - 6/7*o**7 + 5/2*o**4 + 46*o. Solve q(c) = 0 for c.
-1, -1/6, 1
Let i(h) be the first derivative of -h**3/2 - 87*h**2/2 + 372*h + 517. Determine o, given that i(o) = 0.
-62, 4
Let j(i) be the third derivative of 2*i**2 + i + 11/3*i**4 + 0 + 1/15*i**5 + 242/3*i**3. Determine p so that j(p) = 0.
-11
Suppose -3*n - w = -7*n, 5*w = -2*n - 22. Let a(m) = -8*m**2 + 9*m + 14. Let g(b) = b**2 - b - 2. Let k(y) = n*a(y) - 3*g(y). Solve k(c) = 0.
-4/5, 2
Let q(v) = -230*v - 26. Let z be q(-3). Let l be z/210 + (312/56 - 5). Factor l*p + 16/15 + 4*p**2 + 6/5*p**3.
2*(p + 2)*(3*p + 2)**2/15
Factor 8628*c - 4*c**3 + 5*c**3 + 754*c**2 - 566*c**2 + 208*c.
c*(c + 94)**2
What is a in 18/5 - 8/5*a**4 + 21/5*a - 4*a**3 - 2*a**2 - 1/5*a**5 = 0?
-3, -2, -1, 1
Let g = 2236 + -2233. Let p(b) be the third derivative of 0 - 1/33*b**4 + 11*b**2 + 1/330*b**5 + 4/33*b**g + 0*b. Factor p(f).
2*(f - 2)**2/11
Let y = 7/32779 - -65537/98337. Let q = 5/7 + -8/21. Determine i so that q*i**3 + y*i - i**2 + 0 = 0.
0, 1, 2
Factor 2/17*f**3 + 736/17*f + 192/17*f**2 + 0.
2*f*(f + 4)*(f + 92)/17
Let j be 45/(-60)*(-16)/6. Factor -20*r**2 + 4*r**3 - 301*r + 7*r**j + 877*r - 83*r**2.
4*r*(r - 12)**2
Let j = 539 - 538. Let i(r) = r**2 + r + 2. Let l(k) = -2*k**2 - 7*k - 6. Let u(v) = j*l(v) + 3*i(v). Factor u(z).
z*(z - 4)
Let l(w) be the third derivative of w**7/42 - 7*w**6/6 + 13*w**5/3 + 35*w**2 - 2*w + 6. Solve l(c) = 0 for c.
0, 2, 26
Let q(l) be the third derivative of -17/144*l**4 + 0*l - 58*l**2 + 0 + 1/180*l**5 - 1/4*l**3. Let q(t) = 0. What is t?
-1/2, 9
Factor 0 + 321/2*q + 3/2*q**2.
3*q*(q + 107)/2
Let g(z) be the first derivative of z**5/50 + 61*z**4/8 + 7493*z**3/10 - 23777*z**2/4 + 9610*z + 535. Let g(a) = 0. Calculate a.
-155, 1, 4
Let r be 851/(-4071) + (8/(-6) - -1). Let m = 2/649 - r. Let m*o**2 + 0*o - 6/11*o**4 + 0*o**3 + 0 = 0. Calculate o.
-1, 0, 1
Factor a**3 - 235*a**2 + 242*a**2 + 272*a - 262*a.
a*(a + 2)*(a + 5)
Let x(o) be the first derivative of -8*o**5/25 - 93*o**4/20 - 20*o**3/3 + 291*o**2/10 - 18*o - 3262. Solve x(z) = 0.
-10, -3, 3/8, 1
Let t(q) be the first derivative of 1/2*q**2 + 18/7*q - 1/21*q**3 - 77. Let t(l) = 0. Calculate l.
-2, 9
Let s(q) be the second derivative of 3/70*q**5 + 30/7*q**2 - 2/7*q**4 + 2*q - q**3 + 16. Find t, given that s(t) = 0.
-2, 1, 5
Let v(r) = -9*r + 183. Let h be v(16). Let -h*u + 2*u**2 + 28*u - 7*u + 722 - 58*u = 0. Calculate u.
19
Factor 0*c + 81/2*c**3 + 0 + 87/4*c**4 + 3/4*c**5 + 0*c**2.
3*c**3*(c + 2)*(c + 27)/4
Let f(z) be the third derivative of 1/360*z**6 + 0*z**3 - 1/45*z**5 + 0*z - 42*z**2 - 5/72*z**4 + 0. Factor f(s).
s*(s - 5)*(s + 1)/3
Let o = 28 - 25. Let p(t) = 7 + 23*t**2 + 5*t**4 + 5*t**o + t**4 - 24*t**2. Let s(c) = 3*c**4 + 3*c**3 + 3. Let n(h) = -3*p(h) + 7*s(h). Solve n(f) = 0.
-1, 0
Factor -3/5*o**2 - 20108763/5 - 15534/5*o.
-3*(o + 2589)**2/5
Let h(o) be the first derivative of o**5/40 + o**4/4 + o**3 - 5*o**2/2 - 36. Let x(m) be the second derivative of h(m). Factor x(b).
3*(b + 2)**2/2
Let z(h) be the third derivative of -h**7/1260 + h**6/180 + 7*h**5/90 - 10*h**4/9 + 16*h**3/3 + 2*h**2 - 3120. Factor z(w).
-(w - 4)**2*(w - 2)*(w + 6)/6
Let h(n) be the second derivative of n**6/20 - 111*n**5/80 + 91*n**4/16 + 781*n**3/8 + 1089*n**2/8 - 1056*n. Find b such that h(b) = 0.
-3, -1/2, 11
Let n = -125 - -129. Suppose 3*s - 11 - 5 = -5*v, 0 = -5*v + n*s + 2. Determine q so that 1/2 + 1/2*q**v - q = 0.
1
Let y = -147202 + 1030433/7. Determine c so that -11/7*c**3 - y*c**2 + 0 - 5/7*c + 3/7*c**4 = 0.
-1, -1/3, 0, 5
Let w(z) be the second derivative of -z**5/70 + 2*z**4/7 - 29*z**3/21 + 18*z**2/7 + 526*z - 1. Suppose w(n) = 0. Calculate n.
1, 2, 9
Let g(s) be the first derivative of 3/5*s**2 - 3/10*s**4 - 2/15*s**3 + 72 + 4/5*s - 2/25*s**5. Let g(k) = 0. What is k?
-2, -1, 1
Let z(d) = 31*d**3 + 82*d**2 - 119*d - 6. Let w(c) = -63*c**3 - 161*c**2 + 241*c + 13. Let f(l) = 2*w(l) + 5*z(l). Factor f(k).
(k - 1)*(k + 4)*(29*k + 1)
Let i(l) = -7943*l - 55599. Let x be i(-7). Determine f so that 33/4*f**x - 3*f**3 + 9/4*f + 0 = 0.
-1/4, 0, 3
Factor 35/3*r - 1/3*r**3 - 92 + 22/3*r**2.
-(r - 23)*(r - 3)*(r + 4)/3
Let c(i) be the second derivative of i**6/70 - 27*i**5/20 + 123*i**4/28 - 61*i**3/14 + 433*i. Solve c(q) = 0 for q.
0, 1, 61
Let s(k) be the second derivative of -k**7/273 + k**6/195 + 12*k**5/65 + 2*k**4/39 - 160*k**3/39 - 192*k**2/13 + 10255*k. Let s(j) = 0. What is j?
-3, -2, 4
Let h(b) be the third derivative of -5*b**8/224 + b**7/3 - b**6/24 - 8*b**5/3 + 25*b**4/48 + 15*b**3 - 172*b**2 - 4*b. Let h(d) = 0. Calculate d.
-1, 1, 4/3, 9
Let p(o) be the third derivative of -o**6/240 - 31*o**5/60 - 115*o**4/16 - 42*o**3 - 7*o**2 + 166*o. Find s, given that p(