 - s = -88. Let -18/11*i**4 - 4/11*i**3 + 0 + 8/11*i**x + 18/11*i**2 - 4/11*i = 0. What is i?
-1, 0, 1/4, 1, 2
Let s(o) be the first derivative of -9*o**5/8 + 95*o**4/24 - 55*o**3/12 + 5*o**2/4 - 77*o - 22. Let p(t) be the first derivative of s(t). Factor p(u).
-5*(u - 1)**2*(9*u - 1)/2
Let k = -3/106882 + 213809/1603230. Find b, given that k*b**4 + 8/5*b**3 + 14/5*b**2 - 196/15*b + 0 = 0.
-7, 0, 2
Suppose -1494*y = -1509*y + 45. Let q(p) be the third derivative of 2/15*p**7 + 0*p**y - 1/15*p**6 - 7/15*p**5 + 1/3*p**4 - 44*p**2 + 0 + 0*p. Factor q(h).
4*h*(h - 1)*(h + 1)*(7*h - 2)
Let n be (-4)/(-8) - (-15)/2. Let w be (-15*(-5)/(-60))/((-2)/n). Factor 62*i**2 + 0*i**5 + 20*i + 30*i**4 + w*i**5 + 65*i**3 - 2*i**2.
5*i*(i + 1)**2*(i + 2)**2
Suppose -168*v - 48 = -192*v. Let h be (-1)/(v/(-12)) - (523 + -520). Factor -4/5 + 4/5*l**4 + 8/5*l + 0*l**2 - 8/5*l**h.
4*(l - 1)**3*(l + 1)/5
Let w(f) be the third derivative of -f**7/945 - f**6/15 - 23*f**5/90 - 17*f**4/54 - 1435*f**2. Suppose w(o) = 0. What is o?
-34, -1, 0
Let l = -173921 - -173923. Factor -1/2*v**4 + 0 + l*v**3 + 0*v**2 + 0*v.
-v**3*(v - 4)/2
Suppose 2*w + 2*t = -6, 3*t = 362*w - 358*w - 23. Factor 1/4*p**3 - 31/4*p - 2*p**w - 11/2.
(p - 11)*(p + 1)*(p + 2)/4
Let s = -615 + 671. Suppose -202*i + 195*i = -s. Factor 0 - 2*j + 4*j**4 - i*j**3 - 2/3*j**5 + 20/3*j**2.
-2*j*(j - 3)*(j - 1)**3/3
Let f(l) be the second derivative of 1/6*l**6 + 5/6*l**3 - 2 - 1/4*l**5 - 2*l + 0*l**2 - 5/12*l**4. Factor f(v).
5*v*(v - 1)**2*(v + 1)
Suppose 0 = -2*i - 1 + 3. Let t(r) = -r**3 + 35*r**2 - 87*r + 72. Let m(s) = -s**3 - s**2 + s. Let n(u) = i*t(u) + 3*m(u). Factor n(o).
-4*(o - 3)**2*(o - 2)
Factor 0*i - 2/3*i**4 + 0 - 292*i**3 - 31974*i**2.
-2*i**2*(i + 219)**2/3
Let q = 604 - 602. Factor -74*j**2 + 164*j**2 - 80*j**q - 9*j + 2*j**3 - 3*j**3.
-j*(j - 9)*(j - 1)
Suppose s + s + 4*d = -2, -2*s = -4*d - 14. Let h(f) be the first derivative of -4/5*f**5 - 3/2*f**4 + 2*f + 3*f**2 + 15 + 2/3*f**s. What is u in h(u) = 0?
-1, -1/2, 1
Let v(l) be the third derivative of 1/45*l**5 + 0 + 1/36*l**4 + 7*l - 1/180*l**6 - 2/9*l**3 + 2*l**2. Find n such that v(n) = 0.
-1, 1, 2
Let -240*v + 245*v**3 - 4*v**5 + 2240 - 2285*v**2 + 6*v**5 - 4*v**5 - 7*v**5 + 45*v**4 + 4*v**5 = 0. What is v?
-7, -1, 1, 8
Let x(w) be the second derivative of 2*w**3/3 - 6*w**2 + 13*w. Let j be x(14). Factor 3*m - 42 + j + 0*m + m**2.
(m + 1)*(m + 2)
Find f such that 588 + 89*f**2 - 77*f - 187*f**2 + 97*f**2 = 0.
-84, 7
Let i be 10/(-20)*(0 - 16/10)*1. Let f(c) = -c**2 + 15*c - 12. Let s be f(14). Factor -i*a + 2/5*a**s + 0.
2*a*(a - 2)/5
Let j(m) = -2*m**3 - 3*m**2 + 4. Let s(w) = -22*w**3 - 178*w**2 + 140*w + 48. Let z(a) = -12*j(a) + s(a). Factor z(u).
2*u*(u - 70)*(u - 1)
Let y(g) be the third derivative of g**6/40 + 3*g**5/4 + 6*g**4 + 22*g**3 + 634*g**2. Suppose y(l) = 0. Calculate l.
-11, -2
Let t(o) be the third derivative of -o**5/390 + 10*o**4/39 + 329*o**3/39 + 8*o**2 + 35*o. Factor t(c).
-2*(c - 47)*(c + 7)/13
Let j(l) be the second derivative of 4*l**7/147 + 11*l**6/21 + 43*l**5/35 + 23*l**4/42 - 4*l**3/7 - 1399*l. Suppose j(s) = 0. What is s?
-12, -1, 0, 1/4
Let c(m) be the second derivative of -m**7/14 + 9*m**6/2 - 396*m**5/5 + 121*m**4 + 12*m - 83. Suppose c(f) = 0. Calculate f.
0, 1, 22
Suppose 14/5*t**3 + 0 + 39*t**2 - 14/5*t = 0. What is t?
-14, 0, 1/14
Let t(d) = d**3 + 13*d**2 + 15*d + 3. Let c = 186 - 182. Let x(y) = -2*y**3 - 25*y**2 - 30*y - 7. Let j(u) = c*x(u) + 7*t(u). Determine s, given that j(s) = 0.
-7, -1
Let l = 5622835/8 - 702852. Factor 17/8*g + 1/4 - l*g**2.
-(g - 1)*(19*g + 2)/8
Let c be (-140)/10 - 312/288*-16. Factor 1/3*y**2 - y - c.
(y - 5)*(y + 2)/3
Let f(g) be the first derivative of g**4/12 + g**3/9 - 7*g**2/2 - 15*g + 6801. Factor f(m).
(m - 5)*(m + 3)**2/3
Let x = 166 - 138. Factor x*v**3 + 0*v**3 - 23*v**3 + 125*v - 70*v**2 - 60.
5*(v - 12)*(v - 1)**2
Determine t so that -65 + 6*t + 225 + 0*t - 4*t**3 - 2*t - 342*t**2 + 182*t**2 = 0.
-40, -1, 1
Let g(m) be the first derivative of m**5/120 + m**4/12 + m**3/3 + m**2/2 - 3*m + 58. Let j(r) be the second derivative of g(r). Factor j(z).
(z + 2)**2/2
Let a(r) = r**3 + 5*r**2 + r - 10. Let d be ((-24)/15)/((-2)/(-5)). Let o be a(d). Suppose 6*c + c**3 + 9/2*c**2 + o = 0. Calculate c.
-2, -1/2
Let j = -120 + 64. Let h be -1 + 16/j + 44/7. Factor -h*r**2 - 16*r + 18*r + 8*r.
-5*r*(r - 2)
Suppose -4*w - 7 = -19. Suppose -2*i + 29 = 4*q + 11, q = -w*i + 17. Factor 10*c**2 - 15*c**3 + 0*c**i + 4*c**5 + 5*c**5 - 4*c**5.
5*c**2*(c - 1)**2*(c + 2)
Let m(j) be the third derivative of j**5/270 - 1339*j**4/54 + 1792921*j**3/27 - 52*j**2. Solve m(y) = 0.
1339
Let c(q) be the third derivative of 2*q**7/105 - 46*q**6/15 - 187*q**5/15 - 47*q**4/3 + 3235*q**2. Suppose c(u) = 0. What is u?
-1, 0, 94
Let v be 7*16/((-2576)/(-69))*(-35)/(-6). Let v*d**4 + 474/5*d**2 - 182/5*d + 24/5 - 183/2*d**3 = 0. What is d?
2/5, 3/7, 4
Let o(r) be the second derivative of -r**5/90 + 13*r**4/3 + 157*r**3/9 + 236*r**2/9 - 511*r. Let o(w) = 0. Calculate w.
-1, 236
Let u be ((-44)/(-6))/(4/12). Let q(l) = 4*l**2 + 22*l + 56. Let t(b) = -21*b**2 - 109*b - 281. Let y(h) = u*q(h) + 4*t(h). Factor y(o).
4*(o + 3)*(o + 9)
Let r(k) = 2*k**2 + 16*k + 16. Let p = -391 - -390. Let g be r(p). Factor -3/2*z + 3/4*z**g + 3/4.
3*(z - 1)**2/4
Let -28/9*t - 4/9*t**2 + 32/9 = 0. Calculate t.
-8, 1
Let c(w) = -32*w - 323. Let g(y) = 16*y + 159. Let k(z) = 6*c(z) + 11*g(z). Let o be k(-12). Factor 2/17*l**o + 0 - 2/17*l**2 - 12/17*l.
2*l*(l - 3)*(l + 2)/17
Factor -8200*o**3 - 12*o**2 + 8265*o**3 + 531*o - o**4 - 351*o**2.
-o*(o - 59)*(o - 3)**2
Let h(o) be the third derivative of -o**5/75 - 308*o**4/15 - 214*o**2 - 3*o + 1. Find x, given that h(x) = 0.
-616, 0
Suppose -4*n = -4, 5*u - 5 - 7 = -2*n. Factor -147*o + o**2 - 2*o**u + 151*o.
-o*(o - 4)
Suppose 0 = -5*d - 5, 0 = n + 214*d - 212*d + 2407. Let y = 19241/8 + n. Factor y*p**3 + 6*p - 8 - 3/2*p**2.
(p - 4)**3/8
Let 4*v**3 - 1206*v + 396*v**2 + 64*v + 1072 - 148*v**2 - 182*v = 0. What is v?
-67, 1, 4
Suppose -5*i + 30 = 3*y + y, 0 = -3*i - 2*y + 16. Factor 32*d**2 + 24 + 8*d**i + 66*d - d**2 + 6*d**3.
3*(d + 2)*(d + 4)*(2*d + 1)
Let a be 1064/57*(-3)/2. Let k be a/(-35) - 77/(-35). Suppose 2/5*o**k + 0*o**2 + 1/5*o**5 - 3/5*o**4 + 0*o + 0 = 0. What is o?
0, 1, 2
Let d = 374 - 369. Let j be (-1)/2 + (-60)/(-8) - d. Factor -1/4*o**j - 1/4 - 1/2*o.
-(o + 1)**2/4
Let h be 2016/216*4*(-3)/(-2). Suppose -1444 + 36*q + 59*q - h*q - 5*q - q**2 + 42*q = 0. What is q?
38
Factor -49/2*y**3 + 1/2*y**4 + 192*y**2 - 488*y + 320.
(y - 40)*(y - 4)**2*(y - 1)/2
Let h(z) be the first derivative of z**5/5 + z**4/4 - 8*z**3/3 - 2*z**2 + 3. Let x(p) = -9*p**2 - 6*p. Let u(w) = 3*h(w) - 2*x(w). Let u(b) = 0. What is b?
-2, 0, 1
Let m(o) be the first derivative of 217 + 3/14*o**2 - 3/28*o**4 - 24/7*o + 8/7*o**3. Determine d, given that m(d) = 0.
-1, 1, 8
Factor 21*h**2 - 13*h**2 + 7465 + 1006*h - 3934*h - 13*h**2 - 4532*h.
-5*(h - 1)*(h + 1493)
Let 156/5*g**3 + 2592/5*g**2 + 11664/5*g - 34992/5 + 3/5*g**4 = 0. Calculate g.
-18, 2
Let o = 337 - 321. Let q be (150/o - 9) + 34/80. Suppose 2/5*p**2 + 0 - q*p = 0. Calculate p.
0, 2
Let a(i) be the first derivative of -i**7/294 + i**6/210 + i**5/35 - i**4/21 - 268*i - 319. Let f(z) be the first derivative of a(z). What is j in f(j) = 0?
-2, 0, 1, 2
Let s(x) be the second derivative of x**5/150 + 166*x**4/5 + 330672*x**3/5 + 329349312*x**2/5 - x + 1354. What is k in s(k) = 0?
-996
Suppose -3*x - 6*y = -480 + 582, 54 = 4*x - 2*y. Let 408/5*f**3 - 32/5*f**2 - 108/5*f**5 + 332/5*f**x + 0*f + 0 = 0. What is f?
-1, 0, 2/27, 4
Factor -63*j**2 + 192*j**2 - 1794005 - 5990*j - 68*j**2 - 66*j**2.
-5*(j + 599)**2
Let d(j) be the second derivative of 5*j**7/42 - 13*j**6/2 + 215*j**5/4 + 16595*j**4/12 + 4140*j**3 - 21160*j**2 + 1656*j. Find h, given that d(h) = 0.
-4, 1, 23
Factor 2/5*t**4 - 6/5*t**2 + 32/5 - 44/5*t + 16/5*t**3.
2*(t - 1)**2*(t + 2)*(t + 8)/5
Let n = 968908/3 + -322958. Find w such that -124/3*w - 32 + 2*w**3 + n*w**2 = 0.
-8, -2/3, 3
Factor -184/9*z - 392/3 + 2/9*z**2.
2*(z - 98)*(z + 6)/9
Let n(l) be the first derivative of 0*l + 0*l**3 - 4/5*l**2 - 51 + 2/25*l**5 + 3/10*l**4. Suppose n(c) = 0. Calculate c.
-2, 0, 1