*c**4 + 2 - 16/5*c**2 - 6/5*c**3 + 18*c. Factor u(y).
-4*(y + 1)*(y + 8)/5
Let g(s) be the third derivative of -s**8/448 + s**7/120 + 43*s**6/160 + 73*s**5/240 - 21*s**4/16 - 10*s**3/3 + 868*s**2. Suppose g(w) = 0. Calculate w.
-5, -1, -2/3, 1, 8
Let i(b) = -b**5 - 12*b**4 + 2*b**3 - 6*b**2 + 4*b + 13. Let n(o) = 3*o**4 - o - 2. Let k(w) = i(w) + 5*n(w). Suppose k(v) = 0. Calculate v.
-1, 1, 3
Let j(s) be the third derivative of 125*s**8/672 + 335*s**7/28 + 1159*s**6/48 - 147*s**5/8 - 145*s**4/3 + 65*s**3 + 2*s**2 + s + 19. Let j(h) = 0. What is h?
-39, -1, 2/5
Let x(r) be the third derivative of 3087*r**7/25 + 147*r**6/25 + 2*r**5/25 + 5780*r**2. Factor x(c).
6*c**2*(147*c + 2)**2/5
Solve 192/7*o**4 + 0 - 3/7*o**5 + 201/7*o**3 - 390/7*o**2 + 0*o = 0.
-2, 0, 1, 65
Let k = 152/673 - -25943/1346. Solve -3/2*u**2 + 18*u + k = 0 for u.
-1, 13
Determine g so that 126*g**2 - 533*g**5 + 53*g**3 + 262*g**5 + 122*g**4 + 197*g**3 + 269*g**5 = 0.
-1, 0, 63
Let c(q) be the second derivative of 3*q**5/20 + 2751*q**4/4 + 2522667*q**3/2 + 2313285639*q**2/2 - 53*q + 2. Factor c(s).
3*(s + 917)**3
Let q(i) be the third derivative of -i**2 - 1/2*i**4 - 1/180*i**5 + 57 + 0*i**3 + 0*i. Factor q(o).
-o*(o + 36)/3
Let y(v) be the first derivative of -18/55*v**5 - 6/11*v**2 + 1/11*v**4 + 4/33*v**6 - 119 + 2/11*v + 16/33*v**3. Suppose y(r) = 0. Calculate r.
-1, 1/4, 1
Let y be 21/((-735)/(-56))*480/384. Find r, given that -18/7 + 8/7*r**y + 9/7*r + 1/7*r**3 = 0.
-6, -3, 1
Let w be ((-105)/(-14) - 2) + (-5)/10. Suppose -2*u - 3*i = -4, -w*i = 3*u - 37 + 31. Find o such that 2/9*o**3 + 0*o + 0 + 2/9*o**u = 0.
-1, 0
Find f such that -7611*f - 23013 + 11*f**3 - 21363 - 282*f**2 - 14*f**3 = 0.
-43, -8
Let s(z) = 121*z**5 - 62*z**5 - 58*z**5 + z**2 + 2. Let i(p) = -2*p**5 - 3*p**4 - 2*p**3 + 3*p**2 + p - 9. Let l(m) = -i(m) - 3*s(m). Factor l(o).
-(o - 3)*(o - 1)**2*(o + 1)**2
Let s(r) be the first derivative of -6*r**3/5 + 59*r**2 + 132*r/5 + 1357. Suppose s(u) = 0. What is u?
-2/9, 33
Let f(i) = 2*i**2 - 1002*i + 3. Let h be f(0). Let z = 17 + -13. Factor 0 - 1/2*w**2 + 1/3*w + 0*w**h + 1/6*w**z.
w*(w - 1)**2*(w + 2)/6
Let i(m) = 69997*m**3 + 98535*m**2 + 31390*m + 2891. Let j(r) = -128328*r**3 - 180648*r**2 - 57548*r - 5300. Let n(t) = -24*i(t) - 13*j(t). Factor n(y).
-4*(y + 1)*(54*y + 11)**2
Suppose -3*k + 2*c = -6 - 5, -3*k = 4*c - 5. Let a be k - (-5 - (-1 + -2)). What is t in -15*t**2 - 15*t**5 + 10*t - 10*t**5 + 15*t**4 + 20*t**a - 5*t**3 = 0?
-1, 0, 1, 2
Let x(s) be the first derivative of 4/5*s**3 - 96/5*s - 4*s**2 + 1/5*s**4 + 40. Suppose x(w) = 0. Calculate w.
-4, -2, 3
Let d(o) = -2*o**2 - 316*o - 368. Let y(l) = -6*l**2 - 951*l - 1098. Let r(v) = -17*d(v) + 6*y(v). Factor r(x).
-2*(x + 1)*(x + 166)
Factor -402*l**2 - l**3 + 851*l**2 - 468*l**2 - 192 - 112*l.
-(l + 3)*(l + 8)**2
Let i(b) be the third derivative of 2/21*b**3 - 18*b - 1/84*b**4 - 1/210*b**5 + 0 - 2*b**2. Factor i(r).
-2*(r - 1)*(r + 2)/7
Let c = 4979/21 - 1648/7. Let m = 432/5 + -1216/15. Find h, given that m*h - c - h**2 = 0.
1/3, 5
Let r(v) = 3*v - 10. Let q be r(2). Let t be ((-2)/q)/(2/8). Factor 27*n - 6*n**3 - 2*n**4 + 2*n**t + 2*n**5 + 0*n**5 - 23*n.
2*n*(n - 2)*(n - 1)*(n + 1)**2
Let c = 6 - 4. Let q be 92/(-168) + 180/252. Let 1/6*a**5 + 0 + 0*a - 1/6*a**3 + q*a**4 - 1/6*a**c = 0. Calculate a.
-1, 0, 1
Let n(r) be the second derivative of 65*r + 0 - 1/54*r**4 + 4/27*r**3 - 4/9*r**2. Factor n(x).
-2*(x - 2)**2/9
Let w = -82/107 - -1594/963. Let y(f) be the first derivative of 0*f**2 + 2/27*f**3 - w*f + 19. Determine q so that y(q) = 0.
-2, 2
Solve 49*g**3 + 216*g**2 - 15*g**3 - 7*g**3 - 444*g - 17*g**3 - 6*g**3 + 224 = 0.
-56, 1
Suppose -170*s = -185*s. Let g(x) be the third derivative of s*x + 1/900*x**6 + 0 + 42*x**2 + 0*x**3 + 1/20*x**4 - 1/75*x**5. What is z in g(z) = 0?
0, 3
Let i(s) = -9*s - 1. Let y be i(0). Let f be 1/(-2)*y*24/4. Factor -11*g**3 + 10*g - 3*g**4 - 10 + 5 + g**f + 8*g**4.
5*(g - 1)**3*(g + 1)
Factor -19/5*k + 1/5*k**2 - 66/5.
(k - 22)*(k + 3)/5
Suppose 2*a + 2*i - 38 = 0, i + 57 = 4*a - 19. Let z be (-576)/(-216)*3/a. Let 2/19*k**2 - z*k + 6/19 = 0. What is k?
1, 3
Let x(v) be the first derivative of -v**5/10 + 7*v**4/8 - 11*v**3/6 + 5*v**2/4 - 1241. Factor x(b).
-b*(b - 5)*(b - 1)**2/2
Let f(p) be the third derivative of p**5/180 - p**4/9 - 10*p**3 - p**2 - 995. Solve f(t) = 0 for t.
-10, 18
Let n(k) be the third derivative of 2*k**7/105 + k**6/5 + 8*k**5/15 - k**4 - 6*k**3 - 327*k**2 + 2*k. Factor n(d).
4*(d - 1)*(d + 1)*(d + 3)**2
Suppose 0 = -5*b - h + 2253, -3*b - 2247 = -8*b + h. Factor -458*i**4 - b*i**4 - 2*i + 4*i**2 + 2*i**5 + 904*i**4.
2*i*(i - 1)**3*(i + 1)
Let x be (-30)/(-735) + 396/4704. Let p(s) be the second derivative of -x*s**4 + 3/4*s**2 + 0 + 0*s**3 - 15*s. Factor p(y).
-3*(y - 1)*(y + 1)/2
Suppose 1122*a = 1035*a + 133 + 41. Solve a*m - 44/9 + 2/9*m**2 = 0.
-11, 2
Suppose 5*c - 9*h = -8*h + 234, -5*h + 240 = 5*c. Suppose 0 = -4*j + 63 - c. Suppose -1/5*l**j - 4/5 - 6/5*l**3 - 12/5*l - 13/5*l**2 = 0. What is l?
-2, -1
Let r(d) be the second derivative of d**6/3240 + d**5/135 + d**4/18 + d**3/3 - 5*d**2 - 143*d. Let g(w) be the second derivative of r(w). Factor g(k).
(k + 2)*(k + 6)/9
Let r(v) = v - 4. Suppose 2*x = 3*u - 7*u + 38, 3*u - 3*x = 6. Let f be r(u). Factor j**5 + 54*j**3 - j**2 - 106*j**3 + 55*j**3 - f*j**4.
j**2*(j - 1)**3
Suppose 2*d = 643 + 663. Factor -635*k**2 + d*k**2 + 12 + 2*k**3 + 4 + 33*k - k**3.
(k + 1)**2*(k + 16)
Let w = 58 + -58. Let i be 4 + (-1 - w/(-1)). Find t, given that 2 - 2 - 3*t**3 + 2*t**2 + 4*t**i = 0.
-2, 0
Let r = -102 + -265. Let j = 69 - r. Factor 0*d**4 - j*d**3 - 3*d**4 + 442*d**3.
-3*d**3*(d - 2)
Suppose -4*p + 4 = -5*p + 5*f, -5*p + 2*f - 43 = 0. Let r be 7/5 - p/15. Determine m so that -2/17*m**r + 4/17*m + 2/17*m**4 + 0 - 4/17*m**3 = 0.
-1, 0, 1, 2
Suppose 3716*m - 10*m**3 - 9069*m**2 - 535 - 393 + 26*m**3 + 5341*m**2 = 0. Calculate m.
1/2, 232
Let w(y) be the second derivative of 151959*y**5/20 + 332667*y**4/2 + 1456542*y**3 + 6377292*y**2 - 11493*y. Solve w(h) = 0 for h.
-162/37
Let k be (-195)/(-25) + (130/(-18) - (-62)/279). Let t(g) be the first derivative of 21 - k*g**5 + 3*g**4 + 2*g**2 - 4*g**3 + 0*g. Factor t(x).
-4*x*(x - 1)**3
Let r = -3 + 5. Factor 6*z + 3*z**2 - 12 - 2*z**r + 0*z - 5*z.
(z - 3)*(z + 4)
Let c(g) be the first derivative of -2*g**5/65 + 23*g**4/26 - 10*g**3 + 725*g**2/13 - 2000*g/13 + 1153. Factor c(d).
-2*(d - 8)*(d - 5)**3/13
Let o(a) be the second derivative of -a**5/180 - a**4/6 - 4*a**3/9 + 64*a**2/9 - 27*a - 29. Factor o(g).
-(g - 2)*(g + 4)*(g + 16)/9
Suppose -1351*j = -823*j - 2112. Determine k, given that -6/11*k**2 + 8/11 - 2/11*k**j - 10/11*k + 10/11*k**3 = 0.
-1, 1, 4
Let s = -8042 - -32189/4. Let 1/4*p**2 - 11/2*p + s = 0. What is p?
1, 21
Determine d so that -159/7*d**2 + 81/7*d**4 - 12/7 - 6*d**5 + 132/7*d**3 - 180/7*d = 0.
-1, -1/14, 2
Let n(d) = 15*d**2 - 13*d + 6. Let j be n(-8). Let o be j/15*(0 + (-6)/(-4)). Solve -117*v**3 - 9*v**4 - 9 + o*v**3 + 20*v**2 - 2*v**4 + 12*v - 2*v**5 = 0.
-3, -1, 1/2, 1
Let r(j) = -9*j**2 - 25*j - 19. Let c(h) = 5*h**2 + 54*h + 7 - 41*h + 2. Let l(q) = -5*c(q) - 3*r(q). Suppose l(u) = 0. What is u?
-3, -2
Let b = -525/8 - -7831/24. Let s = -754/3 + b. Factor 0 + s*h**2 + 10*h**3 + 3*h**4 + 8/3*h.
h*(h + 2)*(3*h + 2)**2/3
Let s(w) be the third derivative of -2*w**7/105 + 79*w**6/5 - 59833*w**5/15 + 144728*w**4 - 6712448*w**3/3 - 2*w**2 + 9199*w. Solve s(i) = 0 for i.
8, 229
Let k be (8559/135 - 28) + -25. Factor 1/5*q**2 + k*q + 676/5.
(q + 26)**2/5
Suppose -12*r = -18*r - 12. Let b be (r - -4) + (-5 - 10/(-2)). Factor -30*k**2 - 10 - 7*k**3 + 3 + 1 - b - 36*k.
-(k + 2)**2*(7*k + 2)
Let s(j) be the second derivative of -3*j**7/70 - j**6/4 - 5*j**5/8 + 43*j**4/12 + j. Let v(w) be the third derivative of s(w). Let v(a) = 0. What is a?
-5/6
Let a(o) = -2*o**3 + 281*o**2 - 125*o - 2096. Let c be a(140). Let m = -87 + 92. Find n, given that 6 - 21/2*n**2 + 9/2*n**c - 3/2*n**3 + 0*n + 3/2*n**m = 0.
-2, -1, 1
Let h(p) be the first derivative of 4/3*p**3 + 0*p - p**4 - 4*p**2 - 7/30*p**5 - 18. Let u(x) be the second derivative of h(x). Find v such that u(v) = 0.
-2, 2/7
Let t(v) be the second derivative of v**6/165 - 17*v**5/