1/30*m**4. Solve l(x) = 0 for x.
2, 23
Let d = 61 + -64. Let u(x) = -x**3 - 3*x**2 - 5*x. Let n be u(d). Determine m, given that -16*m**4 + n*m**4 - 20*m**4 + 6*m**3 - 27*m**5 = 0.
-1, 0, 2/9
Suppose 0 = -3*a - 6, -a - 6 = p - 89. Suppose 36*i = p*i - 196. Factor -4/9*m**2 + 2/9*m**i + 8/3*m - 2/3*m**3 - 16/9.
2*(m - 2)**2*(m - 1)*(m + 2)/9
Let w(n) be the third derivative of n**8/336 - n**7/105 - n**6/40 + 2*n**5/15 - n**4/6 - 431*n**2 - 2*n. Let w(x) = 0. What is x?
-2, 0, 1, 2
Let y(m) be the third derivative of 0*m + 0*m**5 + 1/105*m**7 + 0*m**4 + 0*m**3 - 1/336*m**8 - 1/120*m**6 + 23*m**2 + 0. Factor y(v).
-v**3*(v - 1)**2
Let x(b) be the second derivative of -b**5/60 - 13*b**4/12 + 9*b**3/2 - 78*b**2 + 2*b - 43. Let l(g) be the first derivative of x(g). Factor l(t).
-(t - 1)*(t + 27)
Let j(c) = 1512*c - 185973. Let w be j(123). Factor -2/7*y + 2*y**2 - 2 + 2/7*y**w.
2*(y - 1)*(y + 1)*(y + 7)/7
Factor q - 995/4*q**2 + 0.
-q*(995*q - 4)/4
Let t(i) = 7*i**2 + 8*i - 3. Let j(m) be the first derivative of -8*m**3/3 - 4*m**2 + 4*m - 4. Let b(s) = 3*j(s) + 4*t(s). Factor b(v).
4*v*(v + 2)
Let j(d) be the second derivative of d**5/36 + 145*d**4/18 + 8410*d**3/9 - 58*d**2 - 41*d + 3. Let f(s) be the first derivative of j(s). Factor f(m).
5*(m + 58)**2/3
Let t be (-15)/6*(-12)/195. Suppose 12 = -3*w - 4*p, 170*w + 3 = 167*w - p. Determine c, given that w - 2/13*c**3 + 0*c**2 + t*c**4 + 0*c = 0.
0, 1
Let f(u) be the third derivative of u**6/30 - 1128*u**5/5 + 636192*u**4 - 956832768*u**3 + 2*u**2 + 23*u - 58. Factor f(y).
4*(y - 1128)**3
What is j in 57 - 3*j**2 + 219*j + 154 - 22 - 33*j = 0?
-1, 63
Let j be 8*1/3 + (-6)/(-18). Suppose a = -4*o + 17, 3 + j = 2*o. Let 8*k**3 + k**5 - 2*k**3 - a*k**3 + 2*k**4 = 0. What is k?
-1, 0
Let g(t) = -t**2 - 16*t + 82. Let y be g(4). Let j(m) be the first derivative of 1/36*m**4 - 4/9*m - 2/9*m**y - 17 + 1/27*m**3. Let j(z) = 0. Calculate z.
-2, -1, 2
Let r be (-5 - 1)*(-143)/(-1485)*-5. Determine p, given that -4/3 - r*p - 4/9*p**2 = 0.
-6, -1/2
Suppose -20*j + 334 + 106 = 0. Factor -63*z - 23*z**2 - 3*z**3 + j*z**2 - 23*z**2 - 54.
-3*(z + 2)*(z + 3)**2
Suppose 5*p + 62 + 26 = -3*g, 17 = -2*g + 5*p. Let b = g + 23. Solve -17*l**3 - b*l**3 + 5*l**4 - l**3 + 20*l**2 = 0 for l.
0, 2
Let r = 186 + -66. Let m be (140/r)/((-14)/(-6)). Factor 17/4*i**3 + 5/4*i**4 + 11/4*i + m + 21/4*i**2.
(i + 1)**3*(5*i + 2)/4
Suppose h - 5*v - 57 = 0, 14646 - 14698 = -4*h + 4*v. Suppose -2*f - 5 = -y, 0 = -4*f + 4*y - 14 - 6. Suppose 0 - 2/3*o**3 - 2/3*o**h + f*o = 0. Calculate o.
-1, 0
Let y(x) be the third derivative of 0 - 7*x - 1/4*x**4 + 0*x**3 + 1/20*x**5 - x**2 + 1/40*x**6. Factor y(q).
3*q*(q - 1)*(q + 2)
Factor -399350*h + 602695*h**2 - 7350*h**3 + 45/2*h**4 + 132845/2.
5*(h - 163)**2*(3*h - 1)**2/2
Let j(w) be the second derivative of 1 - 1/12*w**4 + 5*w**2 + 1/2*w**3 + 26*w. Solve j(x) = 0 for x.
-2, 5
Let k(m) be the second derivative of m**5/4 - 9*m**4/2 + 79*m**3/6 + 9*m**2 + 2*m + 35. Factor k(v).
(v - 9)*(v - 2)*(5*v + 1)
Let i(x) be the first derivative of -3*x**4/10 - 1418*x**3/5 - 378072*x**2/5 - 751896*x/5 + 991. Factor i(o).
-6*(o + 1)*(o + 354)**2/5
Let f(u) = u**3 + 1. Let a(k) = 58*k**3 + 70*k**2 - 52*k + 17. Suppose r + 91 = -6*r. Let y = -9 - r. Let c(t) = y*a(t) - 36*f(t). Determine s so that c(s) = 0.
-2, 2/7
Let p(g) be the second derivative of -g**6/480 + g**5/120 + 7*g**4/32 + 3*g**3/4 + 269*g**2/2 - 81*g. Let x(w) be the first derivative of p(w). Factor x(f).
-(f - 6)*(f + 1)*(f + 3)/4
Let y be 4 + 89784/168 + 6/(-14). Factor -8405 - 5*z**2 + y*z - 704*z + 576*z.
-5*(z - 41)**2
Let b be 6/4*(-6 - (-156)/18). Suppose -k - 2*k - 4*l - 2 = 0, -b*k - 4*l = 0. Factor -2*z**k + 3*z**2 + z**2.
2*z**2
Suppose 3*n + 2*c + 30 = 0, 57 - 12 = -8625*c + 8622*c. Suppose -1/4*r**5 - 17/4*r**4 + n*r + 81/4*r**2 - 63/4*r**3 + 0 = 0. What is r?
-9, 0, 1
Let b(x) = -346*x - 203. Let c be b(3). Let u = 1243 + c. Factor -1/8*l**u + 1/2*l - 1/2.
-(l - 2)**2/8
Factor 782*l - 1/2*l**2 - 305762.
-(l - 782)**2/2
Let q = 40206 + -40202. Let d(n) be the second derivative of 3/160*n**5 + 0*n**3 + 0*n**q + n + 0 + 0*n**2. Factor d(p).
3*p**3/8
Suppose -3*m - 2*o + 74 = 0, 4*m - 3*o - 4 - 89 = 0. Let y be m/(-14) - -2 - 72/(-42). Suppose 7*z**2 - 20*z**y + 11*z**2 = 0. What is z?
0
Let j(t) be the second derivative of t**7/84 - 4*t**6/15 - 21*t**5/40 + 8*t**4/3 + 17*t**3/3 - 3391*t. Find w, given that j(w) = 0.
-2, -1, 0, 2, 17
Let i(u) be the second derivative of -26*u**6/135 + 47*u**5/90 + 5*u**4/27 - 14*u + 38. Solve i(d) = 0.
-5/26, 0, 2
Let u = -105 + 110. Let 3*s**3 - u*s**2 - 4*s**2 - 21*s**2 = 0. What is s?
0, 10
Determine m, given that -101*m**3 + 5*m**5 - 36 - 241*m**4 - m**4 - 144*m + 235*m**4 - 197*m**2 = 0.
-2, -1, -3/5, 6
Let p(t) be the second derivative of 3*t**5/20 + 41*t**4/2 + 854*t**3 + 15876*t**2 - 2*t - 1391. Determine o, given that p(o) = 0.
-54, -14
Suppose 10*t = 5*t + 3335. Factor 9*m**2 - t*m**4 + 0*m**2 - 2*m**2 + 23*m**3 - m**2 + 674*m**4.
m**2*(m + 3)*(7*m + 2)
Let r = -949/103 - -2950/309. Factor r*s**2 - 2/3*s + 0 + 1/3*s**3.
s*(s - 1)*(s + 2)/3
Factor 242/9*z**2 + 0 + 2/9*z**3 + 80/3*z.
2*z*(z + 1)*(z + 120)/9
Let z(h) be the first derivative of -2*h**4/9 + 374*h**3/9 - 1244*h**2/9 + 184*h/3 - 1177. Determine s, given that z(s) = 0.
1/4, 2, 138
Let b = 6917 - 3576090/517. Let c = b + 521/2068. Factor 0*f + 0 - 1/2*f**2 + c*f**3.
f**2*(f - 2)/4
Let b(u) be the third derivative of -u**6/40 + 27*u**5/5 - 5*u**2 + 30. Let b(z) = 0. What is z?
0, 108
Let t = 40/17639 - -69876/299863. Determine p, given that t*p**2 + 0 + 0*p + 2/17*p**3 - 2/17*p**4 = 0.
-1, 0, 2
Suppose 0 = 25*c - 13*c - 24. What is h in 2*h**3 + 56*h - 19*h**2 + c*h**3 + 47*h**2 + 32 = 0?
-4, -2, -1
Let 88*t**2 - 6*t**4 - 640/3*t + 8/3*t**3 + 2/3*t**5 + 128 = 0. Calculate t.
-4, 1, 2, 4, 6
Let w(a) be the third derivative of -a**5/300 - 2*a**4/5 - 42*a**3/5 - 3315*a**2. Let w(k) = 0. What is k?
-42, -6
Let o(r) be the first derivative of -5*r**3/3 - 2005*r**2 - 4005*r - 1669. Suppose o(k) = 0. What is k?
-801, -1
Let x(t) = -5*t**2 + 56*t + 392. Let b(w) = -3*w**2 - 8*w - 8. Let p(z) = -z**2 - 2*z - 2. Let d(h) = b(h) - 4*p(h). Let k(y) = -7*d(y) - x(y). Factor k(j).
-2*(j + 14)**2
Let y(i) = -9*i**5 + 6*i**4 - 9*i**3 + 6*i. Suppose 0 = -v + 2*v - 6. Let r(o) = o**5 + o**4 - o. Let d(x) = v*r(x) + y(x). What is p in d(p) = 0?
0, 1, 3
Let g(z) = z**4 - 129*z**3 + 3718*z**2 + 7827*z + 3964. Let s(c) = 2*c**4 - 259*c**3 + 7436*c**2 + 15657*c + 7927. Let k(a) = -11*g(a) + 5*s(a). Factor k(l).
-(l - 63)**2*(l + 1)**2
Let k(w) be the second derivative of 3*w**5/20 - 75*w**3/2 + 375*w**2 - 187*w. Factor k(p).
3*(p - 5)**2*(p + 10)
Let c(q) be the third derivative of q**8/2240 + q**7/280 + q**6/120 - 15*q**3/2 - 3*q**2 + 14. Let h(m) be the first derivative of c(m). Factor h(s).
3*s**2*(s + 2)**2/4
Let m be -8 - (-24)/(-36)*66/(-4). Find c, given that -9/7*c**2 + 0 - 1/7*c**4 - 6/7*c**m + 0*c = 0.
-3, 0
Let r(n) be the first derivative of 2/9*n**3 + 16/3*n - 111 + 3*n**2. Find x such that r(x) = 0.
-8, -1
Let s = 159 + -104. Let p = s + -47. Factor 3*u**5 + p*u**4 - u**4 - 10*u**4.
3*u**4*(u - 1)
Let s(r) be the second derivative of -27/20*r**5 + 0 - 57*r + 0*r**2 + 0*r**3 - 4/5*r**6 - 1/4*r**4. What is j in s(j) = 0?
-1, -1/8, 0
Let v(o) = 2*o**3 - 3*o**2 - o + 2. Let m(l) = 12*l**3 + 4611*l**2 + 3566641*l + 916628032. Let s(c) = -2*m(c) + 10*v(c). Factor s(k).
-4*(k + 771)**3
Solve 594*b**5 + 464*b**4 - 345691*b**3 + 430560*b**2 - 216320*b - 599*b**5 - 2534*b**4 + 133526*b**3 = 0.
-208, 0, 1
Let t be (2 - 10 - 68/204) + 9. Find y, given that -8/3*y**2 + t*y**3 - 4/3 + 10/3*y = 0.
1, 2
Let p = -695 + 8341/12. Let i(n) be the third derivative of 0 - 35/24*n**4 + 0*n + 17*n**2 + p*n**5 + 5*n**3. Solve i(d) = 0 for d.
1, 6
Let m(x) be the third derivative of -x**8/2240 + x**7/420 + x**6/240 - x**5/20 - 7*x**4/6 - 26*x**2. Let u(w) be the second derivative of m(w). Factor u(a).
-3*(a - 2)*(a - 1)*(a + 1)
Let b(t) = 9*t**2 - 978*t - 1940. Let p(h) = -13*h**2 + 982*h + 1938. Let q(w) = -3*b(w) - 2*p(w). Factor q(f).
-(f - 972)*(f + 2)
Suppose y = 5 + 22. Suppose -q - 3*m - 4 = 0, 0*q - 27 = -3*q + 4*m. Factor 8*w**4 - q - 2 + 4*w**5 + 28*w + 