0/3*p**3 + 28. Factor f(t).
-5*(t + 2)*(9*t - 4)
Let a(v) be the first derivative of -4/13*v**2 - 175 + 2/39*v**3 + 8/13*v. Factor a(b).
2*(b - 2)**2/13
Solve 17*s**3 + 6*s**4 + 72*s - 16*s**3 + 11*s**5 - 4*s**5 - 54*s**2 - 8*s**5 = 0.
-3, 0, 2, 3, 4
Suppose 216 = 277*v - 169*v. Factor -3/2*k**2 - 2*k + 1/2*k**4 + v + k**3.
(k - 1)**2*(k + 2)**2/2
Let p(j) be the first derivative of 136 - 2/9*j + 2/27*j**3 + 0*j**2. Determine x so that p(x) = 0.
-1, 1
Let c(j) be the third derivative of 16/15*j**5 + 1/5*j**6 + 0*j - 1/168*j**8 - 16/3*j**4 + 0*j**3 - 4/105*j**7 + 2 + 5*j**2. Suppose c(k) = 0. What is k?
-4, 0, 2
Let 9 + 4265*h**2 + 78 - 4260*h**2 - 13 - 79*h = 0. Calculate h.
1, 74/5
Let z(t) = 5*t**2 - 1000*t + 1935. Let f(h) = -7*h**2 + 1501*h - 2902. Let l(a) = 5*f(a) + 8*z(a). Factor l(b).
5*(b - 97)*(b - 2)
Let v(m) = 3*m**4 + 12*m**3 + 21*m**2 - 48*m - 60. Let n(x) = 8*x**4 + 25*x**3 + 42*x**2 - 97*x - 122. Let c(s) = -3*n(s) + 7*v(s). Factor c(i).
-3*(i - 3)**2*(i + 1)*(i + 2)
Suppose -195*u - 71256 - 1492*u**2 + 985*u + 227281 + 1493*u**2 = 0. Calculate u.
-395
Suppose 198/5 + 5099/10*j**2 - 315/2*j**4 + 7087/10*j**3 - 1624/5*j + 81/10*j**5 = 0. What is j?
-1, 2/9, 9, 11
Let p be (-8)/(-2 + (-9)/(-5)). Suppose 4*d - p = -5*t, -2*d - 3 - 7 = -5*t. Find v, given that -55*v**t + 25*v**4 + 27*v**4 - 6*v**3 = 0.
-2, 0
Let y(b) = 2*b**2 + 2761*b - 73138. Let g be y(26). Factor 16/3*r + g - 17/3*r**2 + 1/3*r**3.
r*(r - 16)*(r - 1)/3
Let j = -158 + 160. Factor 4*o + 2*o**5 + 9*o**3 + 4*o**2 - 24*o**3 - 2*o**2 - j*o**4 + 9*o**3.
2*o*(o - 2)*(o - 1)*(o + 1)**2
Let m be -1 + 25 + (-10 - (-80)/10). Find o, given that -56*o + 3*o**2 + 19*o + m*o = 0.
0, 5
Let y(n) be the second derivative of n**4/6 + 14*n**3/3 + 18*n**2 - 3*n + 1. Let d(g) = g**2 + 14*g + 19. Let v(w) = -10*d(w) + 6*y(w). Factor v(s).
2*(s + 1)*(s + 13)
Let k = -1/26103 - -234932/130515. Factor 1/5*n**3 + 0 + 1/5*n**4 - 9/5*n - k*n**2.
n*(n - 3)*(n + 1)*(n + 3)/5
Let j(i) be the first derivative of -i**5/20 - i**4/12 + 5*i**3/3 - 4*i**2 - 46*i + 15. Let n(a) be the first derivative of j(a). Factor n(b).
-(b - 2)*(b - 1)*(b + 4)
Let c = 102 - 90. Suppose 10*v + 4 = c*v. Factor 14*w - 2*w**2 - 98*w**3 + 12*w**v + 6 + 100*w**3.
2*(w + 1)**2*(w + 3)
Let i = 415641 - 415637. Suppose 165/4*c**3 - 45/4*c**i + 75/4*c - 185/4*c**2 - 5/2 = 0. What is c?
1/3, 1, 2
Suppose -16/3*r**2 + 2/15*r**4 - 2/3*r**3 - 64/5 + 56/3*r = 0. Calculate r.
-6, 1, 2, 8
Let o(a) = 5 + 1 - 13*a + 19*a**2 + 18*a**2 - 30*a**2. Let x(r) = r**2 - 2*r + 1. Let y = 18 + -12. Let b(i) = y*o(i) - 39*x(i). Factor b(s).
3*(s - 1)*(s + 1)
Let s(o) be the third derivative of 7*o**6/300 - 131*o**5/150 + 113*o**4/15 + 28*o**3/3 - 7*o**2 - 154*o. Suppose s(r) = 0. Calculate r.
-2/7, 5, 14
Let m(f) be the second derivative of f**7/14 - 2*f**6 + 57*f**5/20 + 2329*f. Factor m(y).
3*y**3*(y - 19)*(y - 1)
Let c(p) be the second derivative of p**6/15 + 28*p**5 - 281*p**4/6 + 2209*p. Factor c(q).
2*q**2*(q - 1)*(q + 281)
Let j(k) = 4*k**3 - 3*k**3 - 11*k**2 + 18*k**2 + 5*k + 12. Let n be j(-6). Factor -5*p**4 - n*p**2 + 8*p**4 - 22 - 24*p + 13.
3*(p - 3)*(p + 1)**3
Let -37/4*f**3 + 0 - f**4 - 18*f + 63/2*f**2 = 0. Calculate f.
-12, 0, 3/4, 2
Factor -68/9*i**2 - 8 - 142/9*i + 2/9*i**3.
2*(i - 36)*(i + 1)**2/9
Factor 12*r**3 - 181120 + 421*r**2 + 147*r**2 + 6528*r + 176512.
4*(r + 24)**2*(3*r - 2)
Solve -370/3*j**2 + 374/3*j**3 + 0 - 4/3*j = 0.
-2/187, 0, 1
Let n(i) be the second derivative of 1/12*i**4 + 0 - 1/30*i**6 - 100*i - 1/12*i**3 + 0*i**5 + 1/84*i**7 + 0*i**2. Factor n(w).
w*(w - 1)**3*(w + 1)/2
Let r be 6/(-39)*1 + (-29)/(4147/(-594)). Let u(s) be the second derivative of 0 + 0*s**2 - 2*s + 0*s**r - 1/60*s**6 + 1/20*s**5 + 0*s**3. Factor u(g).
-g**3*(g - 2)/2
Let c(s) be the third derivative of -s**8/672 - s**7/42 - s**6/12 + s**5/12 + 7*s**4/16 + 6510*s**2. Solve c(f) = 0 for f.
-7, -3, -1, 0, 1
Let y(k) be the third derivative of -11/40*k**6 + 0*k + 37/60*k**5 - 26*k**2 + 3/70*k**7 + 0 + 1/3*k**3 - 5/8*k**4. Factor y(v).
(v - 2)*(v - 1)*(3*v - 1)**2
Factor -6*b + 337*b**2 - 1277 - 338*b**2 + 1317.
-(b - 4)*(b + 10)
Suppose -7499*j + 7494*j = 5*p - 335, 2*p = j - 19. Factor -63/4*m**3 - 54*m**2 - 3/4*m**4 + 0 - j*m.
-3*m*(m + 2)**2*(m + 17)/4
Suppose 2367 - 5207 = -568*b. Factor 0*p + 0 - 11/4*p**4 + 3*p**3 - 1/4*p**b + 0*p**2.
-p**3*(p - 1)*(p + 12)/4
Suppose 137*q**2 + 1/4*q**5 - 11/2*q**3 + 669/4*q - 585/2 - 13/2*q**4 = 0. What is q?
-3, 1, 5, 26
Let r(c) be the first derivative of -6*c - 6 + 35/4*c**4 - 88/3*c**3 - 49/2*c**2. Factor r(x).
(x - 3)*(5*x + 1)*(7*x + 2)
Let c(v) be the first derivative of -75 - 1/6*v**4 + 44/9*v - 56/27*v**3 + 19/3*v**2. Solve c(g) = 0 for g.
-11, -1/3, 2
Let -21/2*i**3 - 36 - 3/4*i**4 + 60*i - 51/4*i**2 = 0. Calculate i.
-12, -4, 1
Suppose 148*j + 2354 = 473*j + 852*j. Solve y - 1/3*y**j - 2/3 = 0 for y.
1, 2
Let m(b) be the third derivative of b**5/20 + 25*b**4/8 + 78*b**3 - 906*b**2 - 2*b + 1. What is f in m(f) = 0?
-13, -12
Let z(h) be the first derivative of -h**4/16 + 3*h**2/8 - h/2 + 1265. Factor z(a).
-(a - 1)**2*(a + 2)/4
Let p(n) be the third derivative of -n**7/210 - n**6/12 - n**5/5 + 29*n**4/12 - 35*n**3/6 - 374*n**2 - 1. Factor p(v).
-(v - 1)**2*(v + 5)*(v + 7)
Let n = 7 + -4. Let r = 1384 - 1381. Solve 177*f**r - 540*f + 10 + 70 + 68*f**n + 840*f**2 = 0 for f.
-4, 2/7
Let u(y) be the second derivative of -y**7/3 - 23*y**6/15 + 17*y**5/2 + 131*y**4/6 + 10*y**3 - 80*y + 18. Solve u(o) = 0.
-5, -1, -2/7, 0, 3
Let w(h) = -185*h**3 + 397*h**3 - 3*h**2 - 4 - 201*h**3 + 6*h. Let c(m) = -8*m**3 + 2*m**2 - 5*m + 3. Let s(x) = 4*c(x) + 3*w(x). Factor s(g).
g*(g - 2)*(g + 1)
Let j(u) be the third derivative of 33*u + 5/6*u**4 - 7/15*u**5 - 3*u**2 + 0 + 50*u**3 - 1/30*u**6. Factor j(g).
-4*(g - 3)*(g + 5)**2
Let t be (33/(-7) - -3)*(-4018)/3444. Find v, given that 22/3*v**t + 34/3*v + 4 = 0.
-1, -6/11
Let l(u) be the third derivative of -2*u**8/63 + 136*u**7/105 - 13*u**6/4 + 217*u**5/90 - 2*u**4/3 + 1067*u**2. Determine d, given that l(d) = 0.
0, 1/4, 1, 24
Let g(b) be the second derivative of -3*b**5/160 - 7*b**4/16 - 57*b**3/16 - 27*b**2/2 + 713*b. Factor g(p).
-3*(p + 3)**2*(p + 8)/8
Let q(t) be the second derivative of -t**7/210 - 13*t**6/90 - 8*t**5/5 - 6*t**4 + 13*t**3/3 + 2*t - 1. Let m(s) be the second derivative of q(s). Factor m(a).
-4*(a + 1)*(a + 6)**2
Let c be (-98)/21*49/((-18326)/528). Find y such that -8/17 - 104/17*y**2 - 32/17*y**5 + 94/17*y**3 + c*y**4 - 62/17*y = 0.
-1, -1/4, 1, 4
Suppose 0*x - 5 = 2*g + 3*x, 3*g + 5*x + 10 = 0. Suppose -g*a + 5 = 0, -12 = -5*r - 0*a + 3*a. Let 136*f + 8*f**r - 4*f**2 - 4*f**4 - 136*f = 0. Calculate f.
0, 1
Suppose m + 37 = 41. Factor c**4 + c + 11*c**4 + 3*c - 32*c**2 - 6*c + 18*c + m*c**3.
4*c*(c - 1)*(c + 2)*(3*c - 2)
Let j(h) be the third derivative of 0*h + 40*h**2 + 1/120*h**5 - 2 - 7/3*h**3 - 1/4*h**4. Factor j(l).
(l - 14)*(l + 2)/2
Let d(t) be the second derivative of -8 + 1/28*t**7 + 6*t + 0*t**2 - 7/10*t**6 + 11/4*t**3 - 17/4*t**4 + 27/10*t**5. Factor d(u).
3*u*(u - 11)*(u - 1)**3/2
Let n(m) be the first derivative of m**5/40 - m**4/12 - 2*m**3/3 - 19*m - 65. Let g(s) be the first derivative of n(s). Factor g(h).
h*(h - 4)*(h + 2)/2
Let n(z) = 12*z**2 + 31*z - 11. Let v(y) = -7*y**2 - 16*y + 5. Let d(c) = -3*n(c) - 5*v(c). Let f(m) = -1. Let w(s) = d(s) - 6*f(s). Solve w(t) = 0.
-14, 1
Let r(d) = 4*d**2 - 8*d - 10. Let w be r(3). Find y, given that -1935 + 4*y**3 - 546 + 475*y + 453 + 3365*y - 2068 + 252*y**w = 0.
-32, 1
Solve 189*g**2 + 0*g**3 - 248*g - 309*g**2 + 2*g**3 = 0.
-2, 0, 62
Let j(z) = -13*z**2 + 2800*z - 5. Let f(t) = 15*t**2 - 2799*t + 6. Let w(c) = -5*f(c) - 6*j(c). Factor w(o).
3*o*(o - 935)
Let r be (-3)/(-1 + 0)*2. Let q = -152 - -163. Find f, given that 14*f**3 - q*f**3 + r*f**2 + f + 2*f = 0.
-1, 0
Let s = -17043 - -17045. Let f(i) be the first derivative of -s*i**3 + 21 + 8*i + 2*i**2 - 1/4*i**4 + 1/5*i**5. Solve f(d) = 0.
-2, -1, 2
Let v(r) = -4*r**2 + 13*r + 1. Let l be v(13). Let c = -328 - l. Factor 4*z**5 + 4*z**3 + 178*z - c*z + 8*z**4.
4*z**3*(z + 1)**2
Let z(o) = o**3 + 9*o**2 + 7*o - 6. Let r be z(-8). Factor 12*n**r + 2*n**3 + 14*n - 3*n + n - 2*n.
2*n*(n + 1)*(n + 5)
Let w = 397 - 374. Sup