(d + 1)**2
Let a(l) be the third derivative of -l**5/15 + 92*l**4 - 1102*l**3/3 + 2056*l**2. Factor a(u).
-4*(u - 551)*(u - 1)
Suppose -5*b + 77 = 16*l - 13*l, 0 = b + 4*l - 46. Find h, given that -32/3*h - b - 2/3*h**2 = 0.
-15, -1
Let b(y) be the third derivative of 8/9*y**3 - 1/360*y**6 - 1/15*y**5 + 1/630*y**7 - 8*y**2 + 0*y - 1/18*y**4 - 3. Factor b(o).
(o - 4)*(o - 1)*(o + 2)**2/3
Let q(c) be the second derivative of -c**6/45 - 13*c**5/30 + 509*c**4/18 - 343*c**3 + 864*c**2 - 2170*c. Solve q(a) = 0 for a.
-32, 1, 9
Let r be (-29461)/15597 + 2 + 3 + -3. Solve r*w**2 + 44/9 - 5/3*w = 0.
4, 11
Let s be 1477/21 + (-3828)/(-66). Suppose -100/3*r**2 + s*r + 5/3*r**3 + 1210/3 = 0. Calculate r.
-2, 11
Let k(v) be the second derivative of v**7/10080 + v**6/2880 - v**5/240 + 25*v**4/4 - v**2/2 + 132*v. Let g(z) be the third derivative of k(z). Factor g(h).
(h - 1)*(h + 2)/4
Let m(i) be the first derivative of -i**4/2 + 26*i**3/3 - 12*i**2 + 1527. Solve m(b) = 0 for b.
0, 1, 12
Let g(m) be the second derivative of m**2 + 3/40*m**5 - 11 + 97/96*m**4 + 25/6*m**3 + 3*m. Solve g(d) = 0 for d.
-4, -1/12
Let i(v) = 14*v**3 - 1040*v**2 + 36. Let u(c) = -6*c**3 + 416*c**2 - 15. Let j(k) = -5*i(k) - 12*u(k). Factor j(x).
2*x**2*(x + 104)
Let y(q) = -q + 21. Let d be y(17). Suppose 8 = 4*o - d. Factor 15*p**o - 1 + 10*p**2 - 4 - 15*p - 5.
5*(p - 1)*(p + 1)*(3*p + 2)
Let a(d) be the third derivative of d**5/360 - 23*d**4/144 + 10*d**3/3 - 1050*d**2. Let a(x) = 0. Calculate x.
8, 15
Find u such that 3*u**2 + 26867*u - 26857*u - u**2 - 12 = 0.
-6, 1
Let d(g) be the third derivative of g**10/50400 + 13*g**9/20160 + 11*g**5/15 - 147*g**2 + 1. Let s(t) be the third derivative of d(t). Factor s(i).
3*i**3*(i + 13)
Let m = -7814362/91 + 257615/3. Let k = -10/91 - m. Factor 1/3 - 1/6*f**3 + 1/6*f - k*f**2.
-(f - 1)*(f + 1)*(f + 2)/6
Let g = -273 + 275. Let r be (g/(-16)*12)/(-2 + -1). Find t, given that 0 - r*t - 1/3*t**2 + 1/6*t**3 = 0.
-1, 0, 3
Let y be ((-60)/(-230))/(-3) - (-43)/(6923/336). Factor -3/2*q**3 - 12 - 9*q**y - 18*q.
-3*(q + 2)**3/2
Let w(g) be the first derivative of 0*g**2 - 130 + 0*g + 4/11*g**3 + 7/22*g**4 + 2/55*g**5. Factor w(c).
2*c**2*(c + 1)*(c + 6)/11
Let c = -5936 + 5936. Let s(h) be the third derivative of 0*h**3 - 5/24*h**6 + 5/12*h**4 - 21*h**2 + 0*h + c + 1/21*h**7 + 1/12*h**5. Factor s(j).
5*j*(j - 2)*(j - 1)*(2*j + 1)
Let x(n) = n**4 - 98*n**3 + 117*n**2 + 107*n - 112. Let l(f) = 102*f**3 - 116*f**2 - 108*f + 112. Let b(z) = -3*l(z) - 2*x(z). Factor b(h).
-2*(h - 1)**2*(h + 1)*(h + 56)
Let z be 592/32 - (0 + 1)/1. Let n = z + -17. Suppose 0 + 1/4*p - n*p**2 + 1/4*p**3 = 0. Calculate p.
0, 1
Let p = -894030/7 + 127722. Factor -p - 18/7*t**2 - 3/7*t**3 - 36/7*t.
-3*(t + 2)**3/7
Let v(w) be the first derivative of -w**7/504 + w**6/54 + w**3 - 71*w**2/2 + 308. Let n(h) be the third derivative of v(h). Factor n(i).
-5*i**2*(i - 4)/3
Solve 21*t**3 + 0 + 272*t + 1/2*t**4 + 144*t**2 = 0 for t.
-34, -4, 0
Let t be (-1 - -3) + 16/(-10). Suppose 5*v + 7*i = 116 - 92, i - 2 = 0. Factor 0*c**v + t*c**3 + 0 - 2/5*c.
2*c*(c - 1)*(c + 1)/5
Let i(f) be the first derivative of -f**4/4 - 13*f**3/2 - 18*f**2 - 154*f - 238. Let w(m) be the first derivative of i(m). Solve w(h) = 0 for h.
-12, -1
Suppose 28*a = -45*a + 45*a + 84. Let d(l) be the first derivative of -7/4*l - 1/12*l**a + l**2 + 18. Suppose d(p) = 0. What is p?
1, 7
Let r = 7140 + -7136. Let d(o) be the first derivative of 0*o + o**2 - 23 + 0*o**3 - 1/8*o**r. Let d(t) = 0. Calculate t.
-2, 0, 2
Suppose -13838*h - 2/5*h**3 - 69938/5 + 746/5*h**2 = 0. Calculate h.
-1, 187
Suppose 0 - 1/7*s**3 - 18/7*s**2 + 115/7*s = 0. What is s?
-23, 0, 5
Suppose 5616 = 872*b + 532*b. Factor 1/2*m**b + 5/8*m**3 + 1/4*m**2 + 0*m + 0 + 1/8*m**5.
m**2*(m + 1)**2*(m + 2)/8
Let j(s) be the third derivative of -5*s**6/72 - 47*s**5/6 - 280*s**4 - 3920*s**3/9 + 2338*s**2. Solve j(i) = 0 for i.
-28, -2/5
Suppose 99*i - 32*i + 328635 = 0. Let c = 83449/17 + i. Factor 2/17*o**3 + 0*o + 12/17*o**2 - c.
2*(o - 2)*(o + 4)**2/17
Let x(c) = 5*c**3 - 11*c + 45*c**2 + 30 - 30*c - 8*c + 104*c. Let d(r) = -r**2. Let k(v) = -15*d(v) - x(v). Factor k(j).
-5*(j + 1)*(j + 2)*(j + 3)
Let h = -231 - -233. Let -10*t - 25*t - 33*t - 1156*t**h - 1 = 0. What is t?
-1/34
Let l(z) = -8 - z + 0*z - 17*z. Let s be l(-2). Factor 6*i + 2*i - 16*i + s*i**2.
4*i*(7*i - 2)
Factor 29633157 + 21284*b**2 + 12928*b + 21292*b**2 - 42574*b**2 - 8741509.
2*(b + 3232)**2
Let u(s) = 6*s**3 - 44*s**2 + 102*s - 72. Let p(h) = -12*h**3 + 88*h**2 - 204*h + 144. Let a = -759 - -769. Let k(r) = a*u(r) + 6*p(r). Factor k(q).
-4*(q - 3)**2*(3*q - 4)
Solve -99*u**2 + 3/5*u**4 + 132 + 12/5*u + 156/5*u**3 = 0.
-55, -1, 2
Solve -740*g + 1112/3 + 368*g**2 + 4/3*g**3 = 0 for g.
-278, 1
Let 0 + 30*t**2 + 3/4*t**5 - 3*t**3 - 15/2*t**4 + 0*t = 0. What is t?
-2, 0, 2, 10
Factor 287 - 2992*p - p**2 + 2991*p + 66 + 109.
-(p - 21)*(p + 22)
Let x be 9/((-26505)/899 + 30). Let m = -97 - -491/5. Find k, given that -84/5*k**3 + 3/5*k + x*k**2 - m = 0.
-1/4, 2/7, 1
Suppose -606/7 + 608/7*d**2 - 604/7*d - 2/7*d**4 + 604/7*d**3 = 0. What is d?
-1, 1, 303
Suppose 24*z + 13 = 277. Let f(j) be the second derivative of 0 + 1/6*j**4 - 11/20*j**5 - 1/6*j**7 + 0*j**3 + 8/15*j**6 - z*j + 0*j**2. Factor f(k).
-k**2*(k - 1)**2*(7*k - 2)
Let f(o) be the first derivative of o**3 + 105*o**2/2 + 113. Factor f(g).
3*g*(g + 35)
Suppose m = -l + 10, -m - 23*l + 26*l - 10 = 0. Suppose 426*b**2 - 858*b**3 - 102*b**4 - 1106*b**2 + 201*b**4 - 575*b**4 - 98*b**m - 200*b = 0. Calculate b.
-10/7, -1, 0
Suppose 15441*t + 30 = 15447*t. Suppose -3*a + 13 = 4. Factor -4*b**a + 5*b - 15*b**5 + 11*b**5 + 9*b**t - 6*b**3.
5*b*(b - 1)**2*(b + 1)**2
Let b = 2/67 + 120/469. Let f be (77/11 + 1)*(-2)/(-28). Let 2/7*i**3 + 6/7*i**2 - 2/7*i**4 - b*i - f = 0. What is i?
-1, 1, 2
Let n(w) be the third derivative of 7*w**5/3 - 19*w**4/2 + 12*w**3 + 1680*w**2. What is a in n(a) = 0?
3/7, 6/5
Factor 1195*q**3 - 264*q**2 - 589*q**3 - 609*q**3.
-3*q**2*(q + 88)
Factor 40/11*x + 2/11*x**3 + 2*x**2 - 64/11.
2*(x - 1)*(x + 4)*(x + 8)/11
Let o(j) be the third derivative of 0 + 0*j - 11/36*j**4 + 0*j**3 - 1/90*j**5 - 175*j**2. Factor o(t).
-2*t*(t + 11)/3
Factor 2/11*j**2 - 2/11*j - 312/11.
2*(j - 13)*(j + 12)/11
Solve 123/2*v - 1/2*v**2 + 125 = 0.
-2, 125
Solve 116/5*c - 2/5*c**3 + 80 - 46/5*c**2 = 0 for c.
-25, -2, 4
Let h be 3 + -1 + -4 + (-20)/(-5). Suppose 14*w - 12 - 4*w**h - 12 - 6*w + 12*w = 0. Calculate w.
2, 3
Let u(d) be the second derivative of d**7/147 - d**6/105 - 3*d**5/70 + d**4/42 + 2*d**3/21 - 5*d - 13. Suppose u(t) = 0. What is t?
-1, 0, 1, 2
Let h(a) = 2*a - 1. Let d be h(1). Let l be (54/(-90))/((-2)/10). Factor 2 - 7 - 3*g**2 + 10 + l*g + d.
-3*(g - 2)*(g + 1)
Let l(f) be the third derivative of -83*f**2 + 0*f + 7/20*f**4 + 7/50*f**5 + 4/15*f**3 + 0 + 1/75*f**6. Solve l(p) = 0.
-4, -1, -1/4
Let o(q) be the second derivative of q**5/55 - 13*q**4/22 + 184*q**3/33 + 644*q + 1. Suppose o(x) = 0. What is x?
0, 8, 23/2
Suppose 1994 = -b - 3*s + 2021, 0 = 4*b + 4*s - 36. Factor 1/4*i**4 - 5/4*i**3 + 0*i**2 + 0 + b*i.
i**3*(i - 5)/4
Suppose -3*d = -d - 2*b - 10, 3*d = -2*b. Let n(i) = i**2 - 35*i + 68. Let s be n(d). Suppose -3/2 + 3/4*o**4 + 9/4*o**3 - 9/4*o + 3/4*o**s = 0. Calculate o.
-2, -1, 1
Let x be (24/(-5))/(20/(-50)). Suppose -d + 5*h + 4 = 0, -5*d - 5*h = -32 + x. Suppose -40*g**3 + d*g**2 + g**2 + g**2 + 13*g**3 = 0. What is g?
0, 2/9
Let s be 3/(-12)*20/(-1). Let l be 0 + 10/(-5) + s. Find m such that -8*m**l - m**4 - 41*m + 43*m + 3*m**2 + 8*m**3 = 0.
-1, 0, 2
Solve 24 - 45*z**2 + 0*z**4 - z**4 + 81*z**2 - 3*z**2 - 3*z**3 - 53*z = 0.
-8, 1, 3
Let t be (52 - 12530/175) + 20. Let n = 0 - -2. Factor 0 + 0*a - 6/5*a**n - t*a**3.
-2*a**2*(a + 3)/5
Let p(g) be the second derivative of -g**4/66 + 12*g**3/11 - 320*g**2/11 + 1710*g. Factor p(f).
-2*(f - 20)*(f - 16)/11
Factor -q + 4/5*q**3 - 6/5*q**2 + 1/5*q**5 + 6/5*q**4 + 0.
q*(q - 1)*(q + 1)**2*(q + 5)/5
Determine y, given that 648*y - 531/2*y**3 - 6*y**5 + 270 - 108*y**4 + 219/2*y**2 = 0.
-15, -2, -1/2, 3/2
What is d in 4/7 + 19/7*d**4 - 8*d**3 + 76/7*d - 3/7*d**2 = 0?
-1, -1/19, 2
Let s be (1 - -9 - 160/16) + 2. Let x(m) be the second derivative of -1/90*