*6/30 + 163*z**5/60 + 167*z**4/12 + 28*z**3 - 2*z**2 + 11*z + 125. Factor v(f).
-(f - 12)*(f + 1)**2*(f + 14)
Let v = -2470 - -2468. Let a be (-495)/(-351) + 20/12 + v. Factor a*c**4 + 108/13*c - 2/13*c**5 - 18/13*c**3 - 54/13*c**2 + 0.
-2*c*(c - 3)**3*(c + 2)/13
Let o(r) be the first derivative of -130 - 3/2*r**2 - 3*r + 1/12*r**4 + 1/9*r**3. Factor o(k).
(k - 3)*(k + 1)*(k + 3)/3
Let s(y) be the second derivative of 6 - 238521/4*y**2 - 5547/4*y**3 - 129/8*y**4 - 3/40*y**5 + 23*y. Factor s(o).
-3*(o + 43)**3/2
Let f(s) be the first derivative of -s**6/3 - 18*s**5/5 - 15*s**4/2 - 14*s**3/3 + 606. Suppose f(p) = 0. Calculate p.
-7, -1, 0
Suppose 0 = -7*r + 582 + 1875. Solve -57*q**2 + q**4 - 21*q**3 + r*q**2 - 100*q - 174*q**2 = 0 for q.
0, 1, 10
Suppose -71 = -4*a + 17. Let p(b) = -b**2 + 23*b - 12. Let t be p(a). Determine m, given that -10*m**2 + t*m**2 + 12*m**2 - 6*m + 15*m**2 = 0.
0, 2/9
Let f(b) be the first derivative of b**6/6 + 10*b**5 + 156*b**4 - 50*b**3/3 - 625*b**2/2 + 684. Suppose f(w) = 0. Calculate w.
-25, -1, 0, 1
Let f be (-7828)/57*(1 - (-185)/(-184)). Let m = f - -2/23. Let 2/3 + 1/6*r**2 + m*r = 0. What is r?
-4, -1
Let p = 2823/23 + -19071/161. Find d such that 4/7*d**4 - 8/7 - p*d - 32/7*d**2 - 6/7*d**3 = 0.
-1, -1/2, 4
Let a = 253 + -248. Suppose 3*c**2 - c**2 - 16*c**2 - 3*c**3 + a*c**2 + 30*c = 0. Calculate c.
-5, 0, 2
Determine n, given that -1176585 + 1176585 - 4*n**2 + 860*n = 0.
0, 215
Let l = -1/4 - -4. Let i be 3/(-2)*(32/56)/((-1)/7). Determine y so that -3 - i*y - l*y**2 - 3/4*y**3 = 0.
-2, -1
Let z(g) = g**2 - 6*g + 1. Let j(n) = 14*n**2 - 8*n - 78. Let u(d) = -28*d**2 + 16*d + 158. Let p(r) = 9*j(r) + 4*u(r). Let v(i) = -p(i) - 6*z(i). Factor v(x).
-4*(x + 1)*(5*x - 16)
Let m(k) be the second derivative of k**6/180 + k**5/16 + k**3/6 + 3*k**2/2 - 12*k + 2. Let l(o) be the second derivative of m(o). Solve l(u) = 0 for u.
-15/4, 0
Suppose 0 = -12*u - 13*u + 100. Let r(k) be the second derivative of -1/60*k**u - 22*k - 1/15*k**3 + 0 + 0*k**2. Factor r(l).
-l*(l + 2)/5
Let s = -4204 - -12614/3. Let p(o) be the first derivative of -2/3*o**3 - 19 + o**2 - s*o + 1/6*o**4. Factor p(q).
2*(q - 1)**3/3
Suppose -15*b = -25 - 3695. Factor -b - j**4 + j**2 + 248.
-j**2*(j - 1)*(j + 1)
Let r be 4 + (-19 - -9) + 45 + -4. Let t(a) be the third derivative of 0*a - 1/60*a**6 + 4/3*a**3 + 0 + 1/3*a**4 - 1/30*a**5 + r*a**2. Factor t(y).
-2*(y - 2)*(y + 1)*(y + 2)
Solve 0 + 73*u**3 - 147/2*u**4 + 147/2*u**2 - 293/4*u + 1/4*u**5 = 0 for u.
-1, 0, 1, 293
Let s = 2/72521 + 29008386/507647. Factor -s - 80/7*q - 4/7*q**2.
-4*(q + 10)**2/7
Solve 2/5*l**3 + 10082/5*l + 0 + 284/5*l**2 = 0.
-71, 0
Suppose 27*h + 2730 = 53*h. Let z be (-21)/(-6)*90/h. Factor 0*q**2 - 2/7*q**5 + 0 + 0*q**4 - 32/7*q + 16/7*q**z.
-2*q*(q - 2)**2*(q + 2)**2/7
Suppose 2*o - 6 = -5*h + 22, 0 = 3*h + 5*o - 13. Factor -h*r**3 - 21 + 27*r**2 - 2 - 21*r + 5.
-3*(r - 3)*(r - 2)*(2*r + 1)
Let w(a) be the third derivative of 5*a**8/1008 - 16*a**7/63 + 341*a**6/72 - 605*a**5/18 + 321*a**2 - 3*a. Factor w(d).
5*d**2*(d - 11)**2*(d - 10)/3
Let i(q) be the third derivative of -q**7/105 - 13*q**6/60 + q**5/2 + 13*q**4/12 - 14*q**3/3 - 4*q**2 + q - 490. Factor i(w).
-2*(w - 1)**2*(w + 1)*(w + 14)
Suppose 2/7*v**4 - 104/7*v**2 - 100/7*v + 102/7 + 100/7*v**3 = 0. Calculate v.
-51, -1, 1
Let g(j) be the first derivative of j**4/16 + 239*j**3/6 - 959*j**2/8 + 120*j + 1070. Factor g(d).
(d - 1)**2*(d + 480)/4
Let c(g) be the third derivative of g**8/448 + g**7/140 - g**6/40 - g**5/40 + 3*g**4/32 + g**2 + 7. Determine z, given that c(z) = 0.
-3, -1, 0, 1
Let y be -5 + (240 - 0)/8. Factor -y*o**3 + 100*o + 120 - 178*o**4 + 59*o**4 - 10*o**2 + 57*o**4 + 57*o**4.
-5*(o - 2)*(o + 2)**2*(o + 3)
Let c(o) be the second derivative of 5*o**7/21 + 77*o**6/15 - 11*o**5/2 - 109*o**4/6 + 50*o**3/3 + 32*o**2 + 819*o. Determine x, given that c(x) = 0.
-16, -1, -2/5, 1
Let n be ((-14)/(7 + -19 - 4))/(15/6 - -1). Let x = -51 + 213/4. Suppose x + 3/2*d + n*d**2 = 0. Calculate d.
-3
Factor 4/9*h**2 - 716/9*h - 1448/9.
4*(h - 181)*(h + 2)/9
Let o(n) = n**4 - n**3 - n**2 + n. Let q(z) = 4*z - 10*z + 19*z**2 - 1 - 6*z**4 - 28*z**2 - 9*z**3 - z**5. Let x(y) = 3*o(y) + 3*q(y). Factor x(b).
-3*(b + 1)**5
Let b(n) be the third derivative of -55*n**5/3 + 91*n**4/2 + 4*n**3/3 + 259*n**2 + 13*n - 2. Factor b(s).
-4*(s - 1)*(275*s + 2)
Suppose -2*l - 4*w = 0, 94*l - w = 98*l - 7. Factor 3/7*m**3 - 3*m + 6/7*m**l + 12/7.
3*(m - 1)**2*(m + 4)/7
Let q(d) be the first derivative of -1/3*d**3 + 3 + d - 1/14*d**2 + 1/28*d**4. Factor q(r).
(r - 7)*(r - 1)*(r + 1)/7
Let o(j) be the second derivative of j**4/16 - 2*j**3 - 891*j**2/8 - j + 90. Factor o(q).
3*(q - 27)*(q + 11)/4
Let t(q) = q**2 - 390*q + 776. Let b be t(2). Factor -3/4*g**2 + 3/4*g**4 + b + 27/4*g - 27/4*g**3.
3*g*(g - 9)*(g - 1)*(g + 1)/4
Let w be (10 - -39)/((-2)/4). Let d be w/(-110) - 68/(-340). Determine p so that -2/11*p**4 - 8/11*p**3 - 2/11 - d*p**2 - 8/11*p = 0.
-1
Let g(d) be the third derivative of -d**8/10080 + d**7/168 + 2*d**6/45 + 11*d**5/30 + 69*d**2. Let w(b) be the third derivative of g(b). Solve w(u) = 0.
-1, 16
Let q = 1146 - 1168. Let o = 27 + q. Factor -4/5*n**2 - 7/5*n**3 - 2/5*n**4 + 0 + 1/5*n**o + 0*n.
n**2*(n - 4)*(n + 1)**2/5
Let l be 0 + (-12 - (-6)/((-4)/(-2))). Let h = 20 + l. Factor -m**2 + 1 + 6 - h - 4*m.
-(m + 2)**2
Let k(m) be the first derivative of -m**6/8 + 5*m**5/2 + 67*m**4/8 - m**3 - 131*m**2/8 - 19*m/2 - 856. Determine c so that k(c) = 0.
-2, -1, -1/3, 1, 19
Suppose 3*n - 41 = 292. Let u = -13 + n. Determine y so that 20*y**3 - 2048 + 52*y**3 - 474*y**3 - 3840*y - u*y**3 - 2400*y**2 = 0.
-8/5
Let f(w) be the second derivative of w**6/90 - 11*w**5/30 + 89*w**4/36 - 34*w**3/9 - 87*w - 4. Factor f(k).
k*(k - 17)*(k - 4)*(k - 1)/3
Let p(y) be the third derivative of -y**8/13440 - y**7/840 - y**6/120 - 91*y**5/60 + 13*y**2 - 1. Let c(x) be the third derivative of p(x). Factor c(f).
-3*(f + 2)**2/2
Suppose 0 - 12*u**2 + 48/5*u**3 + 4/5*u**4 - 104/5*u = 0. What is u?
-13, -1, 0, 2
What is l in -21/4*l**3 + 207/8*l**2 - 3/8*l**4 - 81/4*l + 0 = 0?
-18, 0, 1, 3
Let h(b) be the second derivative of -1/30*b**6 - 25/2*b**2 - 4*b - 23/6*b**4 + 3/5*b**5 + 10*b**3 + 1. Find y such that h(y) = 0.
1, 5
Let o(i) be the first derivative of 50*i**3/9 - 22*i**2/3 - 2*i + 1066. Factor o(q).
2*(q - 1)*(25*q + 3)/3
Suppose 1/4*m**4 + 123/2*m**3 + 2259/4 + 381/2*m - 313*m**2 = 0. Calculate m.
-251, -1, 3
Let k(r) be the third derivative of 1/56*r**8 + 0*r**3 - 49*r**2 + 2/135*r**5 - 1/108*r**4 + 0 + 0*r + 1/90*r**6 - 4/105*r**7. Determine z so that k(z) = 0.
-1/3, 0, 1/3, 1
Let x(n) be the second derivative of 1/30*n**4 + 0*n**3 + 1/75*n**5 + 0 - 5*n - 7/2*n**2. Let b(m) be the first derivative of x(m). Let b(y) = 0. What is y?
-1, 0
Let u(l) = 15*l**3 - 26910*l**2 + 159305*l - 237635. Let o(z) = z**3 - 1583*z**2 + 9371*z - 13979. Let x(m) = 35*o(m) - 2*u(m). Factor x(n).
5*(n - 311)*(n - 3)**2
Let g(v) be the third derivative of -140*v + 5/2*v**3 + 1/40*v**5 - v**2 + 0 + 7/16*v**4. Determine w, given that g(w) = 0.
-5, -2
Let y(l) be the first derivative of l**4/12 - 106*l**3/9 + 35*l**2/2 - 5602. Suppose y(h) = 0. What is h?
0, 1, 105
Factor 23378410 + 5/2*n**2 + 15290*n.
5*(n + 3058)**2/2
Let a(p) be the first derivative of 2*p**5/5 + 24*p**4/11 - 6*p**3/11 - 118*p**2/11 - 144*p/11 - 774. Find r, given that a(r) = 0.
-4, -1, 18/11
Let h(q) be the second derivative of -1/18*q**4 - 1/90*q**5 - 3*q - 2/27*q**3 + 0*q**2 + 52. Factor h(i).
-2*i*(i + 1)*(i + 2)/9
What is p in 17*p**2 + 9 - 26*p**4 + 5/2*p**5 - 65/2*p + 30*p**3 = 0?
-1, 2/5, 1, 9
Let o(q) be the third derivative of q**7/98 + 23*q**6/280 - 37*q**5/35 - 12*q**4/7 - 81*q**2 + 7. Find i such that o(i) = 0.
-8, -3/5, 0, 4
Let z(u) be the second derivative of 0*u**2 + 1/12*u**4 + 1/45*u**5 + 20*u + 0 + 1/540*u**6 - 1/6*u**3. Let s(g) be the second derivative of z(g). Factor s(p).
2*(p + 1)*(p + 3)/3
Let s(x) be the first derivative of -x**6/1440 + x**5/60 + 11*x**4/32 + 86*x**3/3 + 2*x + 4. Let h(f) be the third derivative of s(f). Factor h(v).
-(v - 11)*(v + 3)/4
Let h be (-11)/((-1386)/(-56))*1326/(-26). Factor -70/3*p + h + 2/3*p**2.
2*(p - 34)*(p - 1)/3
Suppose 680 = 2202