1. Factor u(o).
-3*(o + 145)*(3*o - 1)/5
Let x = -861 + 1231. Solve -369*f + 3*f**2 + x*f - 4*f**3 - f**2 - 2*f**4 + 3*f**5 = 0.
-1, -1/3, 0, 1
Let q be ((-130)/4)/13 - 121/(-2). Factor -4*w**3 + 26 + 44*w**2 + 2*w - 2*w**2 - q*w - 8.
-2*(w - 9)*(w - 1)*(2*w - 1)
Suppose -39 - 77/2*x + 1/2*x**2 = 0. Calculate x.
-1, 78
Let q(t) be the third derivative of -t**5/90 - 49*t**4/3 - 9604*t**3 - 3074*t**2. Find o such that q(o) = 0.
-294
Let f be (18/(-8))/((-17)/952). Let n be (-5 + -187)/3*f/(-8). Factor -c**2 + c**4 + n + 2*c - 1008 - 2*c**3.
c*(c - 2)*(c - 1)*(c + 1)
Let u(y) = -8*y**2 - 2*y. Let m = -52 - -23. Let d = -23 - m. Let n(j) = 7*j**2 + j - 1. Let f(g) = d*n(g) + 5*u(g). Factor f(v).
2*(v - 3)*(v + 1)
Let i be ((-16)/282)/(((-24)/(-18))/(-4)). Let k = i + 164/141. Let -1/2*g**3 + 0 + k*g - 5/3*g**2 = 0. Calculate g.
-4, 0, 2/3
Let k = -4503 - -18013/4. Let h(g) be the second derivative of -5/3*g**4 + k*g**5 + 25/6*g**3 - 13*g + 0 - 5*g**2. Factor h(v).
5*(v - 2)*(v - 1)**2
Let w(z) be the third derivative of 0*z - 2*z**2 + 1/90*z**5 - 8/9*z**3 + 4 + 7/36*z**4. Determine s so that w(s) = 0.
-8, 1
Let i(k) = -k**3 - 5*k**2 + 9*k - 2. Let y be i(-6). Let h be 112/(-36) - 9/(45/y). Let 10/3*x + 8/9*x**2 - h = 0. Calculate x.
-4, 1/4
Let j = 2/103011 + 11439/343370. Let h(u) be the second derivative of 0 - 6/5*u**2 + 4*u - j*u**4 + 1/3*u**3. Let h(p) = 0. Calculate p.
2, 3
Let g(y) be the first derivative of -1083/2*y - 1/8*y**3 - 137 - 57/4*y**2. Let g(a) = 0. What is a?
-38
Let l = 197/4356 - 24/605. Let m(b) be the third derivative of -27*b**2 + 7/18*b**3 - 1/12*b**4 + 0 - l*b**5 + 0*b. What is p in m(p) = 0?
-7, 1
Let g(n) = 12*n**4 - 14*n**3 + 6*n**2 + 91*n + 13. Let t(z) = z**4 + z**2 + z + 1. Let w(s) = g(s) - 13*t(s). Factor w(o).
-o*(o - 2)*(o + 3)*(o + 13)
Let z = -2304 - -2311. Let u(p) be the third derivative of 0*p**3 + 0 - 1/140*p**8 + 0*p + 0*p**5 - 1/50*p**z - 25*p**2 + 0*p**4 + 1/100*p**6. Factor u(d).
-3*d**3*(d + 2)*(4*d - 1)/5
Let m = 451/540 + -19/540. Let l(r) be the second derivative of 0*r**2 + 2/15*r**3 + 0 + 1/15*r**4 - m*r**5 - 16*r. Factor l(v).
-4*v*(4*v - 1)*(5*v + 1)/5
Suppose 23*t = 4*x + 8*t - 338, 0 = -4*x - 5*t - 102. Suppose -11/6*f - 4 - 1/6*f**x = 0. Calculate f.
-8, -3
Let g(z) = 9*z**3 + 69*z**2 + 220*z. Let s(y) = -23*y**3 - 173*y**2 - 550*y. Let x(f) = -26*g(f) - 10*s(f). Factor x(d).
-4*d*(d + 5)*(d + 11)
Let 32/11*q**3 + 24/11 - 46/11*q**2 + 2*q**4 - 32/11*q = 0. Calculate q.
-2, -1, 6/11, 1
Let r(s) be the second derivative of -9/2*s**5 - 115/3*s**3 + 1/6*s**6 + 7 + 2*s + 20*s**4 + 75/2*s**2. Factor r(k).
5*(k - 15)*(k - 1)**3
Let c(m) = 3*m**2 - 162*m - 836. Let u(o) = o**2 - 82*o - 414. Let k(w) = 3*c(w) - 7*u(w). Factor k(t).
2*(t + 5)*(t + 39)
Find l such that 42/5*l + 22/5*l**2 - 2 + 36/5*l**4 - 186/5*l**3 = 0.
-1/2, 1/3, 5
Let a(o) be the third derivative of -o**7/70 + 83*o**6/40 - 1209*o**5/10 + 6929*o**4/2 - 43940*o**3 + 235*o**2. Factor a(v).
-3*(v - 26)**3*(v - 5)
Let l(b) be the second derivative of -1/10*b**5 + 2/9*b**3 + 1 + 39*b + 0*b**2 + 1/18*b**4. Factor l(m).
-2*m*(m - 1)*(3*m + 2)/3
Let u = 3160/19 + -1895867/11400. Let f(c) be the third derivative of 0*c + 0 - c**2 + 1/300*c**6 - u*c**5 - 1/20*c**3 - 7/120*c**4. Factor f(y).
(y - 3)*(y + 1)*(4*y + 1)/10
Let q(k) be the first derivative of -2*k**5/35 + 45*k**4/7 + 184*k**3/7 + 278*k**2/7 + 186*k/7 + 1239. Solve q(z) = 0 for z.
-1, 93
Let v = 1707 - 1705. Let p(l) be the first derivative of 11/18*l**4 - 11 + 1/18*l**6 - 2/9*l - 1/18*l**v + 4/9*l**3 + 14/45*l**5. Factor p(u).
(u + 1)**3*(u + 2)*(3*u - 1)/9
Let l(m) = -m**2 + 12*m - 6. Let x be l(11). Suppose 3*d - 12 = -a, -1 = 5*a - x*d + 19. Factor 3/2 - 3/2*c**4 + 3*c**3 - 3*c + a*c**2.
-3*(c - 1)**3*(c + 1)/2
Suppose -4*n - h + 173 = 0, -7*n + 211 = -2*n + 3*h. Let z be (n/(-26))/11*-4. Factor -z + 2/13*r**2 + 0*r.
2*(r - 2)*(r + 2)/13
Let g(t) be the first derivative of t**3/8 - 1197*t**2/16 + 2543. Factor g(j).
3*j*(j - 399)/8
Let y = -8394 - -8397. Factor 1/2*l**2 - y*l + 9/2.
(l - 3)**2/2
Let c(w) be the third derivative of w**7/420 + 77*w**6/240 - 191*w**5/40 + 417*w**4/16 - 63*w**3 - 1070*w**2 + w. Suppose c(s) = 0. Calculate s.
-84, 1, 3
Let u be 0 + (-4)/((-32)/24). Let o be 1/u - 77/(-363). Let o*q + 2/11*q**2 - 4/11 - 6/11*q**3 + 2/11*q**4 = 0. What is q?
-1, 1, 2
Let t = -1517 - -10621/7. Find r such that -1/7*r**4 - 3/7 + 2/7*r + 4/7*r**2 - t*r**3 = 0.
-3, -1, 1
Let h be -1 + 58/20 + (-32)/80. Let s(a) be the second derivative of 36*a**2 + h*a**4 - 1/10*a**6 - 26*a - 9/20*a**5 + 14*a**3 + 0. Factor s(w).
-3*(w - 3)*(w + 2)**3
Let i(k) = 7*k**2 + 8*k + 2. Suppose -1 = -4*w - 13. Let h be (-1)/(4/24*w). Let t(p) = -50*p**2 - 55*p - 15. Let q(j) = h*t(j) + 15*i(j). Factor q(l).
5*l*(l + 2)
Suppose 22*b + g = 5*g, g - 7*g = -3*b - 2*g. Let b - 2/5*c**2 + 8/5*c = 0. What is c?
0, 4
Factor -1417928 - 1684*h - 1/2*h**2.
-(h + 1684)**2/2
Determine h, given that 143*h**4 - 1359*h**3 - 141*h**4 - 21*h**2 + 1320*h**3 + 20*h = 0.
-1, 0, 1/2, 20
Let c(d) be the third derivative of -d**7/420 + 3*d**6/80 - 23*d**5/120 + 5*d**4/16 - 4*d**2 - 116*d. What is l in c(l) = 0?
0, 1, 3, 5
Let h be 12 + 14 + -24 + 1*142. Solve 58 + 80 - 30 + h*g**2 + g**4 + 3*g**4 + 216*g + 586*g**3 - 546*g**3 = 0 for g.
-3, -1
Determine w, given that 2031*w**2 + 3413*w**2 - 1471*w + 6*w**3 - 1764*w**2 + w**3 + 419*w = 0.
-526, 0, 2/7
Let w be ((35/70)/(63/4))/(80/6). Let c(h) be the third derivative of 0 + 0*h**3 - 2*h**2 + 0*h - 1/30*h**6 + w*h**7 + 2/15*h**5 + 0*h**4. Factor c(r).
r**2*(r - 4)**2/2
Let p = 2723 + -3982. Let h = p - -1260. Let -7/4*i**2 + h - 1/4*i**3 + 3/4*i**4 + 1/4*i**5 + 0*i = 0. Calculate i.
-2, -1, 1
Determine t, given that 95*t**2 + 699*t**2 - 916*t + 109*t**3 + 100*t**3 - 167*t**3 + 80 = 0.
-20, 2/21, 1
Let k(q) = 3*q**5 + q**4 + 2*q**3 - q**2 - q + 1. Let l(h) = -57*h**5 + 33*h**4 - 84*h**3 + 18*h**2 + 18*h - 18. Let c(t) = 18*k(t) + l(t). Factor c(y).
-3*y**3*(y - 16)*(y - 1)
Let z(d) be the second derivative of d**4/4 - 112*d**3 + 669*d**2/2 - 5*d + 423. Find n, given that z(n) = 0.
1, 223
Let f(i) be the second derivative of i**5/110 + 8*i**4/33 + 80*i**3/33 + 128*i**2/11 - 85*i - 13. Factor f(d).
2*(d + 4)**2*(d + 8)/11
Let v(x) be the third derivative of -x**5/60 - 5*x**4/6 - 32*x**3/3 + 244*x**2. Factor v(l).
-(l + 4)*(l + 16)
Let w be (-3)/(-1 + 64/60). Let h = 49 + w. Solve 1/4*v**2 + 1/4*v**3 - 1/4*v + 0 - 1/4*v**h = 0 for v.
-1, 0, 1
Let k be (-14)/(-42)*(-182)/(-52)*(-4)/(-6). Let t(b) be the first derivative of k*b**2 - 2/3*b + 1/18*b**4 - 10/27*b**3 + 1. Factor t(p).
2*(p - 3)*(p - 1)**2/9
Let l be (-156)/(-10) + 4/20*2. Suppose -63*z + l = -59*z. Factor -2*n**z - 14 + 8 - 2*n**3 + 6.
-2*n**3*(n + 1)
Let u = 44231/15 + -2950. Let a = 7/3 - u. Factor -12/5 + a*m - 6/5*m**2.
-6*(m - 2)*(m - 1)/5
Let t(q) be the second derivative of q**4/3 + 3164*q**3/3 + 1251362*q**2 - 5773*q. Solve t(s) = 0.
-791
Let u = -305 - -528. Suppose -5*c = 5*t - 330, -c - 2*c = -2*t - u. Factor -6*k + 38 + k**2 + 42 - c.
(k - 3)**2
Let d(u) be the third derivative of u**7/1680 - 11*u**6/480 + 113*u**5/480 - 13*u**4/24 - 5*u**3 - 478*u**2 + 2*u. Factor d(c).
(c - 15)*(c - 4)**2*(c + 1)/8
Let c be ((-14)/4)/(-6 - (-44)/8). Suppose -c*m = -3*m + 4*l - 52, 5*m - 50 = -2*l. Factor 1/2*h**4 - m*h - 10/3*h**3 + 8/3 + 8*h**2.
(h - 2)**3*(3*h - 2)/6
Let i = 158452/165 - 430167037/448140. Let b = i + 3/388. Determine z so that -9/7*z**2 + 12/7 + 0*z - b*z**3 = 0.
-2, 1
Let s = -60 - -58. Let h be 7/s*40/(-70). Determine i, given that -32/5 - 16/5*i - 2/5*i**h = 0.
-4
Let m(r) = 4*r**3 - 10*r**2 + 4*r + 9. Let g(x) = -x**3 + 2*x**2 - x - 2. Let c be (-8 + 10)/(1/(-1)*1). Let i(p) = c*m(p) - 9*g(p). Factor i(n).
n*(n + 1)**2
Factor -57/7*o**2 - 165/7*o + 18/7*o**3 + 0.
3*o*(o - 5)*(6*o + 11)/7
Let l = -27352 - -27352. Let p(g) be the third derivative of -5/6*g**4 + 0 + 0*g + 1/30*g**6 + l*g**3 - 24*g**2 + 4/15*g**5. Factor p(f).
4*f*(f - 1)*(f + 5)
Let i(t) = -18*t - 124. Let j be ((-2)/4)/(71/994). Let b be i(j). Factor -5/8*p + 3/8*p**b + 1/8*p**3 - 1/8*p**4 + 1/4.
-(p - 1)**3*(p + 2)/8
Let n(k) be the first derivative of 46*k**3/3 + 642*k**2 - 112*k + 827. Solve n(j) = 0 for j.
-28, 2/23
Let k