 0 - 1/180*y**6 + 1/18*y**4. Factor h(o).
-(o - 1)**2*(o + 2)**2/3
Let w(z) be the first derivative of -20*z**3/3 + 28*z**2 - 36*z - 1589. Factor w(c).
-4*(c - 1)*(5*c - 9)
Let u(r) be the third derivative of 5*r**8/336 + 9*r**7/14 + 95*r**6/24 - 1307*r**5/12 - 20*r**4 + 3200*r**3/3 - 525*r**2. Find b such that u(b) = 0.
-16, -1, 1, 5
Let n = -30 + 42. Let q be (n/(-10))/(8/(-240)). Solve 75*t**4 - 29*t**4 - q - 40*t**4 + 38*t**3 + 62*t**2 - 6*t = 0 for t.
-3, -1, 2/3
Let g = -756 - -1110. Let o = 1066/3 - g. Factor 0 - 2/3*u**4 - 13/9*u**3 - o*u**2 - 1/9*u**5 - 4/9*u.
-u*(u + 1)**2*(u + 2)**2/9
Let k(n) = -n**2 - 14*n + 36. Let q be k(16). Let v = q - -458. Let -v*w**4 - 41/2*w**3 - 1 + 0*w**2 + 11/2*w = 0. What is w?
-1, 1/4, 2/7
Let l(p) be the second derivative of p**6/480 + 3*p**5/80 + p**4/4 + 9*p**3 - 15*p - 2. Let g(c) be the second derivative of l(c). Factor g(y).
3*(y + 2)*(y + 4)/4
Let p(v) be the first derivative of -2*v**6/15 - 8*v**5/25 + 7*v**4/5 + 32*v**3/15 - 24*v**2/5 + 707. Solve p(k) = 0.
-3, -2, 0, 1, 2
Suppose -17*p + 80*p + 104*p = 31*p. Factor 0*j - 6/5*j**3 - 4/5*j**4 + 2/5*j**5 + p + 0*j**2.
2*j**3*(j - 3)*(j + 1)/5
Let b be 1 - 3 - (90/(-2295) + 338/(-51)). Find l, given that -1/3*l**2 - b*l + 5 = 0.
-15, 1
Suppose 7*o = 8*o - 5. Suppose -16 = -o*d - 6. Factor -207*v**4 - v**3 + 3*v**3 - d*v**2 + 209*v**4 - 2*v.
2*v*(v - 1)*(v + 1)**2
Let k(d) = -56*d**4 - 96*d**3 - 36*d**2 + 4*d + 4. Let r(s) = -1 - 6*s + s**4 + 3 + 7*s - 2 - 1. Let z(g) = -k(g) - 4*r(g). Determine f so that z(f) = 0.
-1, 0, 2/13
Let i(t) = t**3 - 70*t**2 - 330*t - 3372. Let j be i(75). Suppose 1/5*d**j + 1 + 7/5*d**2 + 11/5*d = 0. What is d?
-5, -1
Suppose l + 2*v + 12 = 0, 2*v + 29 = 13. Let i be (-2)/(-4) + 19/76. Factor 0 - y + y**l + i*y**3 + 1/4*y**5 - y**2.
y*(y - 1)*(y + 1)*(y + 2)**2/4
Find u, given that -32/9*u**4 - 28/3*u**2 + 2/9*u**5 + 84 + 94*u - 208/9*u**3 = 0.
-3, -1, 2, 21
Let j = 48968 + -146902/3. Factor 2/3*p**4 + 4/3*p + 0*p**2 - 4/3*p**3 - j.
2*(p - 1)**3*(p + 1)/3
Let y = -2679 - -3785. Factor -352 - y + 333 - 7*u**2 + 2*u**2 - 150*u.
-5*(u + 15)**2
Let a be 3/(-9)*(-84)/5*((-1207)/68 - -18). Solve -236/5*m + 68/5 - a*m**2 = 0.
-34, 2/7
Let v(a) be the first derivative of a**6/15 + 28*a**5/25 + 12*a**4/5 - 4*a**3/15 - 5*a**2 - 24*a/5 + 155. Determine s so that v(s) = 0.
-12, -1, 1
Let f(i) be the first derivative of i**3/4 + 27*i**2/8 - 135*i/2 - 1254. Determine x so that f(x) = 0.
-15, 6
Let i(w) = 12*w**3 + 208*w**2 + 68*w - 110. Let v(f) = 5*f**3 + 103*f**2 + 34*f - 56. Let j(d) = 4*i(d) - 9*v(d). Factor j(o).
(o - 32)*(o + 1)*(3*o - 2)
Let y(r) be the second derivative of 9/70*r**5 - 10/7*r**2 - 3*r - 1/105*r**6 - 25/42*r**4 + 9/7*r**3 - 29. Suppose y(w) = 0. Calculate w.
1, 2, 5
Let g = -169 + 190. Factor 64*m**3 + 3*m**4 - 9*m**2 + 64*m**3 + 18 - 119*m**3 - g*m.
3*(m - 1)**2*(m + 2)*(m + 3)
Let o(b) be the second derivative of 49/3*b**4 - 252*b - 56/3*b**3 + 0 - 24*b**2. Factor o(x).
4*(7*x - 6)*(7*x + 2)
Let f = -64 + 91. Factor 12*u**3 + 6*u**2 + 0*u**4 - f + 39*u - 3*u**4 - 75*u.
-3*(u - 3)**2*(u + 1)**2
Let f(k) be the third derivative of 13*k**6/480 + 9*k**5/40 - 19*k**4/32 - 5*k**3/12 + 1682*k**2. Factor f(v).
(v - 1)*(v + 5)*(13*v + 2)/4
Let n(v) = v**3 - 1. Let l(j) = -4*j**4 - 6*j**3 + 24*j**2 + 32*j + 18. Let d = -244 + 245. Let a(p) = d*l(p) + 6*n(p). What is w in a(w) = 0?
-1, 3
Let x(w) be the first derivative of w**4/16 + 261*w**3/4 - w**2/8 - 783*w/4 - 2393. Let x(d) = 0. What is d?
-783, -1, 1
Factor 0*g**4 + 31/6*g**3 + 53/3*g**2 - 1/6*g**5 + 28/3 + 22*g.
-(g - 7)*(g + 1)*(g + 2)**3/6
Let h = -169942 - -169944. Suppose 1/5*l**3 + 13/10*l**h + 11/5*l + 4/5 = 0. Calculate l.
-4, -2, -1/2
Let v be (-1400)/(-225) + (-3 - -2) + -5. Let x be ((-230)/(-45))/(-2) + 3. Solve -4/9*n + v + x*n**3 + 0*n**2 - 2/9*n**4 = 0.
-1, 1
Let h = -60274/195 + 4020/13. Suppose h*p**2 + 8/5*p - 26/15 = 0. What is p?
-13, 1
Let y(i) be the second derivative of i**8/15680 + i**7/1470 + i**6/336 + i**5/140 - 143*i**4/12 + 113*i. Let m(x) be the third derivative of y(x). Factor m(q).
3*(q + 1)**2*(q + 2)/7
Let p = -175735 - -175737. Factor 4*o - 6 - 2/3*o**p.
-2*(o - 3)**2/3
Let o(s) be the second derivative of -s**7/1512 - 5*s**6/432 + s**5/12 + 121*s**4/12 - 154*s. Let u(j) be the third derivative of o(j). Factor u(k).
-5*(k - 1)*(k + 6)/3
Let b(j) be the first derivative of j**5/5 - 83*j**4/2 + 2604*j**3 - 3844*j**2 - 261*j + 173. Let h(o) be the first derivative of b(o). Factor h(z).
2*(z - 62)**2*(2*z - 1)
Let j = -90/179 + 18892/2685. Let s = -254/45 + j. Factor 2/3*a + 2/9*a**2 - s.
2*(a - 1)*(a + 4)/9
Let 2*p**2 + 3*p**2 + 1475 + 245 + 1790 + 1185*p = 0. What is p?
-234, -3
Let g be -2 - -45*1*(-484)/(-33). Factor y**2 - y**3 + 2*y**2 - g + 654.
-(y - 2)**2*(y + 1)
Let n be (11/4)/(3/(-8)) + (-10 - -18). Let o(w) be the first derivative of -1/8*w**4 + n*w**3 - 5/4*w**2 + 8 + w. Factor o(z).
-(z - 2)*(z - 1)**2/2
What is z in 448*z**2 - 356*z**2 + 4*z**3 - 64800 + 30960*z + 333*z**2 + 287*z**2 = 0?
-90, 2
Let i = 158 - 209. Let b be -2 + 6/51 + (-147)/i. Solve 1/2*a - b + 1/2*a**2 = 0 for a.
-2, 1
Let z(d) be the second derivative of 126*d - 38/5*d**5 - 1/21*d**7 - 256/3*d**3 - 1 - 14/15*d**6 - 128*d**2 - 100/3*d**4. Let z(y) = 0. What is y?
-4, -2
Let p(z) be the second derivative of -7*z**5/90 + 97*z**4/27 + 56*z**3/27 - 2309*z. Suppose p(w) = 0. What is w?
-2/7, 0, 28
Let t(n) be the third derivative of n**7/84 + 3*n**6/16 - n**5/8 - 125*n**4/48 + 15*n**3/2 + 10*n**2 + n + 146. Determine z so that t(z) = 0.
-9, -2, 1
Let b = -782 + 786. Suppose b*s - o = 4, o - 2 = 15*s - 14*s. Factor -2*j - 4/3 - 2/3*j**s.
-2*(j + 1)*(j + 2)/3
Suppose -143*g + 25 = -132*g - 239. Let x(p) = -p**3 + 8*p**2 - 6*p - 4. Let m be x(7). Factor 6*f - 7*f**3 + g*f**2 + 2*f**5 + f**5 - 15*f - 11*f**m.
3*f*(f - 1)**3*(f + 3)
Let z(i) be the second derivative of 5/12*i**4 - 35/2*i**2 - 2 + 35*i + 5*i**3. Let z(f) = 0. What is f?
-7, 1
Let u(o) be the first derivative of 1/8*o**4 + 0*o - 201 - 5*o**2 - 4/3*o**3. Factor u(j).
j*(j - 10)*(j + 2)/2
Suppose -2*i = -3*m + 25, 2*m - 3*i - 10 = 20. Factor -15/2*q**m + 27/4*q + 3/2*q**2 + 9/4*q**4 - 15/4 + 3/4*q**5.
3*(q - 1)**3*(q + 1)*(q + 5)/4
Let k(h) be the third derivative of -h**6/24 - 1215*h**5/4 - 7381125*h**4/8 - 2989355625*h**3/2 - 2079*h**2. Determine x so that k(x) = 0.
-1215
Let m(d) be the second derivative of -2/15*d**6 + 0*d**3 + 0 + 1/3*d**4 + 0*d**2 - 2/21*d**7 + 1/5*d**5 + 2*d. Suppose m(l) = 0. Calculate l.
-1, 0, 1
Let n be 14*6*((-2)/36)/((-21)/14). Let n*q - 8/9*q**3 - 16/9 + 2/9*q**4 - 2/3*q**2 = 0. Calculate q.
-2, 1, 4
Let l(x) be the third derivative of x**6/990 - x**5/220 - x**4/66 - 13*x**3/2 - 2*x**2 + 12. Let d(n) be the first derivative of l(n). Factor d(m).
2*(m - 2)*(2*m + 1)/11
Let n be ((-3 - 0)/(-11 - -31))/((-39)/52). Let k(x) be the second derivative of 12*x + 0 - n*x**3 - 1/12*x**4 - 1/10*x**2. Factor k(o).
-(o + 1)*(5*o + 1)/5
Let q(z) be the second derivative of 9/16*z**3 - 5 - 3/16*z**2 + 8*z - 21/32*z**4 - 3/40*z**6 + 57/160*z**5. Factor q(p).
-3*(p - 1)**3*(6*p - 1)/8
Let y(c) = -4*c**3 + 360*c + 3018. Let b(i) = -3*i**3 - i**2 + 360*i + 3020. Let x(j) = -3*b(j) + 2*y(j). Factor x(p).
(p - 21)*(p + 12)**2
Let w(b) be the first derivative of -22 + 25/3*b**3 + 5/4*b**4 - 5/2*b**2 - 25*b. Factor w(x).
5*(x - 1)*(x + 1)*(x + 5)
Let p(a) be the third derivative of a**5/180 + 29*a**4/18 + 1128*a**2. Solve p(t) = 0 for t.
-116, 0
Let 1800 - 4*c**2 - 490 + 1286 + 2592*c = 0. What is c?
-1, 649
Let y(v) be the third derivative of 0*v + 0 - 122*v**2 - 1/105*v**5 + 1/420*v**6 - 1/84*v**4 + 1/14*v**3 + 1/1470*v**7. Find q such that y(q) = 0.
-3, -1, 1
Let -16/3*t - 16/3 - 4/3*t**2 = 0. Calculate t.
-2
Let l be 11*(5 + 344/(-88)). Factor -17*q - 3*q + 7*q + 0*q - q**2 + 0*q - l.
-(q + 1)*(q + 12)
Find m, given that 0 + 137/8*m**3 - 45/8*m - 3/8*m**4 - 89/8*m**2 = 0.
-1/3, 0, 1, 45
Suppose -7*l = -2*l - 45. Suppose -l*q - 42 = -10*q. Solve -3*o**2 + 42*o + 3*o**3 - q*o = 0 for o.
0, 1
Let z(d) be the second derivative of d**7/28 + 31*d**6/20 + 171*d**5/40 - 31*d**4/8 - 29*d**3/2 - 9*d - 83. Solve z(t) = 0.
-29, -2, -1, 0, 1
Let v be (((-15)/(-40)*4)/3)/((-54)/(-90)). Let j