2*(h - 2)**2/3
Let y(s) be the second derivative of s**5/24 + 205*s**4/72 - 220*s**3/9 + 75*s**2 + 1229*s. Factor y(u).
5*(u - 2)**2*(u + 45)/6
Let f = 30 + 59. Factor 163*i**3 + 3*i**4 + f*i**3 - 16415*i + 7056*i**2 + 82271*i.
3*i*(i + 28)**3
Factor -17/2*z + 49/3 + 1/6*z**2.
(z - 49)*(z - 2)/6
Let n(x) be the third derivative of -x**6/60 - 11*x**5/70 + 5*x**4/42 - 6*x**2 + 78. Factor n(g).
-2*g*(g + 5)*(7*g - 2)/7
Let r(j) be the first derivative of -5*j**3/3 - 75*j**2/2 + 770*j + 10016. Find u, given that r(u) = 0.
-22, 7
Let f be ((-1)/((-14)/(-6)))/((324/(-63))/18). Let b(d) be the first derivative of 0*d + f*d**4 - 2/5*d**5 + 5 + 0*d**2 - 4/3*d**3. Find a, given that b(a) = 0.
0, 1, 2
Let k(j) be the second derivative of -j**8/1280 + 23*j**7/3360 - j**6/60 - j**4/4 + 6*j**2 - 57*j. Let m(o) be the third derivative of k(o). Factor m(z).
-3*z*(z - 1)*(7*z - 16)/4
Let x = -51 + 118. Let c = x + -37. What is s in c - 37*s - 47*s + 0*s**3 + 20*s**3 + 29*s + 5*s**2 = 0?
-2, 3/4, 1
Let u(q) be the third derivative of -q**7/1050 - q**6/100 - 2*q**5/75 - 2*q**2 - 272. Factor u(o).
-o**2*(o + 2)*(o + 4)/5
Let r(h) be the second derivative of h**4/36 + 1037*h**3/18 - 173*h**2 + 76*h + 57. Determine z so that r(z) = 0.
-1038, 1
Let a = 161788/3 - 53929. Factor -61/3*c**2 - a*c**4 - 12 - 28*c - 14/3*c**3.
-(c + 1)**2*(c + 6)**2/3
Let c(h) = -10*h - 35. Let v be c(-3). Let r be v/(-1)*(-15)/(-175). Factor r*j**2 + 3/7*j + 0.
3*j*(j + 1)/7
Let d(v) be the third derivative of v**5/300 + 79*v**4/40 + 118*v**3/15 - 724*v**2. Factor d(r).
(r + 1)*(r + 236)/5
Find m such that -680943/2*m**2 + 679195*m + 583*m**3 - 1/4*m**4 - 1357225/4 = 0.
1, 1165
Factor 13 - 1/4*o**4 + 33/4*o**2 + 95/4*o - 11/4*o**3.
-(o - 4)*(o + 1)**2*(o + 13)/4
Let q(z) be the second derivative of -z**7/21 - z**6/20 + 37*z**5/40 + 9*z**4/8 - 3*z**3/4 - 2208*z + 3. Determine w, given that q(w) = 0.
-3, -1, 0, 1/4, 3
Let l(o) be the second derivative of 5*o**4/12 - 595*o**3/2 + 1775*o**2 - 7793*o - 2. Solve l(k) = 0.
2, 355
Let y be 43 + -39 - ((-30)/(-125))/(6/40). Let m(w) be the first derivative of 8/15*w**3 + 1/10*w**4 - 32 - 11/5*w**2 + y*w. Let m(n) = 0. Calculate n.
-6, 1
Let u(a) be the third derivative of a**7/735 - 127*a**6/420 + 481*a**5/210 + 449*a**4/28 + 246*a**3/7 - 95*a**2 + 2*a + 7. Determine x so that u(x) = 0.
-1, 6, 123
Determine t, given that -4/11*t**3 + 2/11*t + 98/11*t**4 + 98/11 + 2/11*t**5 - 196/11*t**2 = 0.
-49, -1, 1
Let i be 2/(-3)*(-21)/7. Factor -103*g**2 + 17*g**i + 24*g - 13*g**2 + 6*g - 21*g**3.
-3*g*(g + 5)*(7*g - 2)
Let b(i) = -6*i**2 + 21*i - 6. Let h be b(3). Let r(g) be the first derivative of 8 + 6*g**2 + 3/4*g**4 + 0*g + 4*g**h. Factor r(f).
3*f*(f + 2)**2
Let u(m) be the third derivative of 3*m**7/14 + 5731*m**6/40 + 109519*m**5/4 + 35717*m**4/8 - 36481*m**3 + 2173*m**2. Determine a, given that u(a) = 0.
-191, -2/5, 1/3
Let w(l) be the second derivative of l**7/126 + 88*l**6/45 + 2692*l**5/15 + 63392*l**4/9 + 777728*l**3/9 + 1404928*l**2/3 + 8372*l - 2. Factor w(j).
(j + 4)**2*(j + 56)**3/3
Let a be ((-660)/120)/(22/(-8)). Let y(f) be the third derivative of 1/300*f**5 - 1/12*f**4 + 5/6*f**3 - 10*f**a + 0*f + 0. Factor y(z).
(z - 5)**2/5
Let k(f) be the second derivative of -2*f**6/75 - 31*f**5/5 - 1976*f**4/5 + 4056*f**3/5 + 725*f. Factor k(d).
-4*d*(d - 1)*(d + 78)**2/5
Suppose 0 = -4*t - 5*k - 15 + 43, -3*k + 12 = 0. Factor -50*m - 7*m**t - 36 - 9 + 2*m**2.
-5*(m + 1)*(m + 9)
Let b(p) be the second derivative of 23/10*p**5 + 0 + 637/3*p**3 - 686*p**2 - 61*p - 63/2*p**4 - 1/15*p**6. Solve b(v) = 0 for v.
2, 7
Let z(m) be the third derivative of m**6/40 - 477*m**5/20 + 7140*m**4 - 28322*m**3 - 2016*m**2. Factor z(f).
3*(f - 238)**2*(f - 1)
Let r = 133 - 124. Suppose r*s + 5 = 23. What is i in -24 + 80*i + 9*i**2 + 11*i**s - 14*i**3 - 2*i**2 = 0?
-2, 2/7, 3
Let s be 15336/(-104) - (-42)/91. Let c be 10*1/(s/(-24) - 3). Factor 14/5 + 2/5*o**2 - c*o.
2*(o - 7)*(o - 1)/5
Let o(i) be the third derivative of 0*i**3 + 0*i + 18 - 4/21*i**4 - 2/147*i**7 + 4/105*i**5 - 2*i**2 + 1/588*i**8 + 1/35*i**6. Let o(m) = 0. What is m?
-1, 0, 2
Let l be (-3*4/(-8))/(11/(-22)). Let u be l/(-5) - ((-1215)/75 - -12). Determine t so that u*t + 48/5 + 3/5*t**2 = 0.
-4
Let v(j) = 2*j**3 - 3*j**2 + 1 + 11*j**3 - 3 + 6*j - 16*j**3. Let w(z) = -z**3 - 2*z**2 + z + 1. Let n(i) = 2*v(i) - 4*w(i). Factor n(u).
-2*(u - 2)*(u - 1)*(u + 2)
Let w = 3249 - 3244. Let q(u) be the second derivative of -5/6*u**4 + 0 - 18*u + 3/4*u**w + 0*u**3 + 0*u**2 - 1/6*u**6. Determine a so that q(a) = 0.
0, 1, 2
Let c(d) = -d**2 + 6*d + 15. Let i be c(-2). Let p be (-27588)/(-24) + 7*i. Factor 1140*q**3 - p*q**2 - 40 - 360*q**4 + 380*q.
-5*(3*q - 4)**2*(4*q - 1)**2/2
Let h(q) be the third derivative of -q**8/224 + q**6/16 - q**4/4 + 7*q**2 - 73*q. Determine w so that h(w) = 0.
-2, -1, 0, 1, 2
Let b(a) = 60*a**2 - 298*a - 8. Let k be b(5). What is g in -2/5*g**k - 22/5 - 24/5*g = 0?
-11, -1
Solve -3/7*g**5 + 3*g**4 + 201/7*g**3 - 237/7*g**2 - 198/7*g + 216/7 = 0 for g.
-6, -1, 1, 12
Solve -202/3*p**2 + 508/9*p - 92/9*p**4 + 16/3 - 386/3*p**3 = 0.
-12, -1, -2/23, 1/2
Let d(y) be the first derivative of y**5 - 55*y**4/2 + 505*y**3/3 - 170*y**2 - 960*y + 1768. Find h such that d(h) = 0.
-1, 3, 4, 16
Let f(d) be the first derivative of -4*d**3/3 + 590*d**2 - 1176*d + 454. Factor f(h).
-4*(h - 294)*(h - 1)
Let i = 2/99525 - -119428/99525. Let 12/5*u**2 - 6/5 - 3/5*u + i*u**3 - 6/5*u**4 - 3/5*u**5 = 0. Calculate u.
-2, -1, 1
Factor -1192*w + 4/5*w**2 + 0.
4*w*(w - 1490)/5
Let c = -270 + 284. Let r be 32/c + 40/(-140). Factor 2/7*x**3 + 0 - 4/7*x - 2/7*x**r.
2*x*(x - 2)*(x + 1)/7
Factor 166*m + 1/2*m**4 + 213/2*m**2 + 82 + 23*m**3.
(m + 1)*(m + 2)**2*(m + 41)/2
Let q(g) be the third derivative of -3*g**6/40 + g**5/5 - g**4/6 + 975*g**2. Let q(l) = 0. Calculate l.
0, 2/3
Factor 58/11*q**2 - 927/11*q - 16/11.
(q - 16)*(58*q + 1)/11
Let q(y) be the first derivative of -5*y**4/4 + 190*y**3 + 5*y**2/2 - 570*y + 3698. Factor q(d).
-5*(d - 114)*(d - 1)*(d + 1)
Let f(y) = 4*y**3 - 16*y**2 + 16*y - 4. Let w = 1308 - 1303. Let t = 8 + -4. Let z(h) = -4*h**3 + 17*h**2 - 17*h + 4. Let p(j) = t*z(j) + w*f(j). Factor p(a).
4*(a - 1)**3
Let f(o) be the second derivative of -32*o**4/15 - 44*o**3/15 + 3*o**2/5 - 2322*o. Let f(u) = 0. What is u?
-3/4, 1/16
Let g(i) = 6*i**3 + 6*i**2 - 2*i + 1. Let q(k) = -k. Let d(r) = 2*g(r) - 10*q(r). Let s(j) = j**4 - j**3 + j**2 - 1. Let y(z) = -d(z) - 2*s(z). Factor y(o).
-2*o*(o + 1)**2*(o + 3)
Suppose -31*d + 29*d + 108 = 0. Find f such that -144 + 1275*f - 829 - 2969 - 363*f**2 + d + 1101*f = 0.
36/11
Let v(w) = w**2 + 7*w - 45. Let o be v(8). Let l be (-8)/27*o/(-25). Let 0 - 26/9*c**3 - l*c - 8/3*c**2 - 2/9*c**5 - 4/3*c**4 = 0. What is c?
-2, -1, 0
Suppose 50*t = -18 + 18. Let p(n) be the first derivative of 1/27*n**3 + 1/18*n**2 - 21 + t*n. Determine r, given that p(r) = 0.
-1, 0
Let f be (-16 - 1037/(-68))*-28. Let n(o) be the first derivative of 3/16*o**4 + o + 3/2*o**2 + 11/12*o**3 + f. Factor n(a).
(a + 1)*(a + 2)*(3*a + 2)/4
Let n(i) be the third derivative of -2*i**2 - 2 + 1/210*i**5 + 0*i + 1/168*i**4 + 0*i**3 + 1/840*i**6. Determine v so that n(v) = 0.
-1, 0
Let y(w) = -7*w**4 - 42*w**3 - 193*w**2 + 247*w. Let z(u) = -3*u**4 - 21*u**3 - 97*u**2 + 123*u. Suppose 6 = -t + 4. Let c(n) = t*y(n) + 5*z(n). Factor c(d).
-d*(d - 1)*(d + 11)**2
Let a(f) be the second derivative of -2/3*f**3 + 0 + 0*f**2 - 1/72*f**6 + 0*f**4 + 3*f - 1/24*f**5. Let t(p) be the second derivative of a(p). Factor t(d).
-5*d*(d + 1)
Let t = -2855 + 1844. Let y = t - -1014. Factor 0*h + h**4 + 7/4*h**y + 0 - 1/2*h**2.
h**2*(h + 2)*(4*h - 1)/4
Let 3/4*b**3 + 54 - 33/4*b**2 + 15/2*b = 0. Calculate b.
-2, 4, 9
Solve 355/2*b - 237/4 + 3/4*b**2 = 0.
-237, 1/3
Let r be ((-342176)/26455)/(5/((-25)/2)). Let w = r - 354/11. Factor -8/13*x**2 + 0 + w*x**3 + 8/13*x.
2*x*(x - 2)**2/13
Let v(f) be the second derivative of -f**7/42 - 7*f**6/10 - 13*f**5/2 - 22*f**4 + 16*f**3/3 + 192*f**2 - 542*f. What is l in v(l) = 0?
-12, -4, -2, 1
Solve 1069*y - 3185*y + 1153*y**2 - 1157*y**2 - 4216 = 0.
-527, -2
What is d in 15568*d**3 - 31139*d**3 + 195938 + 15573*d**3 + 1254*d**2 + 197190*d = 0?
-313, -1
Let m(j) be the thi