) = a*q(t) - 5*l(t). Factor j(x).
2*x*(x + 2)*(9*x + 2)
Let u(p) be the second derivative of 3*p**7/280 - p**6/12 + p**5/40 + 3*p**4/4 - 5*p**3 + 23*p. Let j(c) be the second derivative of u(c). Factor j(l).
3*(l - 3)*(l - 1)*(3*l + 2)
Let t = -204 + 207. Solve -19*p**2 + 4*p + p - p**2 - 33*p**t + 8*p**3 = 0.
-1, 0, 1/5
Let m be (-3)/((-27)/(-12)) + (-721026)/(-54). Suppose 5*z - 13366 = -m. Determine u so that 1/2*u**2 + 0 - 3/5*u + 1/10*u**z = 0.
-6, 0, 1
Suppose 1316 + 364 = -10*m. Let g be (-350)/m - 10/(-8). Determine v so that -8/3*v - 26/3*v**2 + 8/3 - g*v**3 = 0.
-2, -1, 2/5
Let l(k) be the first derivative of -4*k**5/25 + 509*k**4/5 - 8096*k**3/15 + 808*k**2 - 1876. Factor l(h).
-4*h*(h - 505)*(h - 2)**2/5
Suppose -5*n + 147 = 2*w, n + 19 = 5*w - 308. Factor 3291 + 4*c**2 + 3*c**3 - 3243 + 11*c**2 + 0*c**2 - w*c.
3*(c - 2)*(c - 1)*(c + 8)
Let y(a) be the third derivative of -24*a**2 + 0 + 0*a**3 + 15/8*a**4 + 7/24*a**6 + a + 4/3*a**5. Let y(k) = 0. Calculate k.
-9/7, -1, 0
Let v(y) = 5*y**4 + 188*y**3 - 373*y**2 + 186*y. Let t(m) = 12*m**4 + 375*m**3 - 744*m**2 + 371*m. Let o(l) = -3*t(l) + 7*v(l). Factor o(b).
-b*(b - 189)*(b - 1)**2
Factor -1/2*k**3 - 360 - 16*k**2 - 138*k.
-(k + 6)**2*(k + 20)/2
Suppose 0 = -13*m + 23*m - 30. Factor m*w**3 - 5*w**2 + 2*w**2 + 616*w - 622*w.
3*w*(w - 2)*(w + 1)
Let c(q) = q**3 - 95*q - 180. Let o be c(-2). Let -5 - 25/6*f + 5/6*f**o = 0. What is f?
-1, 6
Let l be (-631)/(-3) - ((-13)/(-3) + -3). Let y be (76/l)/(1/2). Factor 0 + 0*m + 2/11*m**4 + 8/11*m**3 + y*m**2.
2*m**2*(m + 2)**2/11
Suppose -42 = -2*g + 79*i - 82*i, -18 = 2*g - 2*i. Factor -g + 9/4*r + 3/4*r**2.
3*(r - 1)*(r + 4)/4
Suppose 67405*y - 67443*y = -76. Factor -4*r - 32/3 + 2/3*r**y.
2*(r - 8)*(r + 2)/3
Let p(w) be the second derivative of -w**6/1260 - w**5/140 - w**4/42 - 33*w**3 + 3*w + 11. Let z(m) be the second derivative of p(m). Factor z(b).
-2*(b + 1)*(b + 2)/7
Factor 1/5*d**3 - 67/5*d**2 + 131/5*d - 13.
(d - 65)*(d - 1)**2/5
Let h(z) be the second derivative of -12/5*z**3 - 182*z + 0 - 1/15*z**4 + 0*z**2. Factor h(i).
-4*i*(i + 18)/5
Let y(c) = 37*c**2 + 295*c - 343. Let n(t) = -13*t**2 - 104*t + 114. Let h(j) = 17*n(j) + 6*y(j). Factor h(g).
(g - 10)*(g + 12)
Factor -15/2*i**2 - 321/2*i - 63.
-3*(i + 21)*(5*i + 2)/2
Let f(j) be the third derivative of j**5/15 + 79*j**4/6 - 280*j**3 + j**2 - j - 393. Factor f(w).
4*(w - 5)*(w + 84)
Suppose 0 = 904*w - 899*w + 40. Let q be 3/w - 602/(-1008). Factor -2 + 0*j + q*j**2.
2*(j - 3)*(j + 3)/9
Let v be (3430/1225)/(357/15). Let 16/17*q**2 + 24/17 + 38/17*q + v*q**3 = 0. What is q?
-4, -3, -1
Let a(g) be the second derivative of -g**4/8 + 613*g**3/2 - 1127307*g**2/4 + 11068*g. Find x, given that a(x) = 0.
613
Let n(w) be the third derivative of -w**4/24 + 2*w**2. Let k be n(-4). Factor -3*c**k - 26*c**3 - 6*c**2 + 63*c**3 - 28*c**3.
-3*c**2*(c - 2)*(c - 1)
Let o(p) be the first derivative of 3*p**5/5 + 303*p**4/4 + 99*p**3 - 303*p**2/2 - 300*p - 174. Factor o(l).
3*(l - 1)*(l + 1)**2*(l + 100)
Factor -88*f**5 + 360783 + 30740*f**2 + 31217 - 76*f**3 + 84*f**5 - 164*f**4 - 207200*f.
-4*(f - 5)**3*(f + 28)**2
Let l(v) be the first derivative of 28*v**5/5 - 44*v**4 - 148*v**3/3 + 28*v**2 - 4235. Find o such that l(o) = 0.
-1, 0, 2/7, 7
Let c(d) = 3*d - 3. Let j be c(3). Suppose 0*g + 2*g = j. Solve -2*x**5 - 5*x**4 - 3*x**5 - g*x**3 - 22*x**2 + 7*x**2 + 28*x**3 = 0 for x.
-3, 0, 1
Let d(i) be the second derivative of -i**4/144 + 7*i**3/6 + 1234*i. Solve d(c) = 0 for c.
0, 84
Solve 0*n**4 + 491947*n - n**4 - 491227*n - 13*n**3 + 636*n**2 + 3*n**4 - 69*n**3 = 0 for n.
-1, 0, 12, 30
Let s = -1 - 3. Let a(p) = p**2 - p + 1. Let d(i) = -5952*i + 5950*i + 3 - 4*i**2 - 5. Let q(b) = s*a(b) - 2*d(b). Factor q(w).
4*w*(w + 2)
Determine g, given that 605 + 3920/3*g**2 + 25/3*g**4 - 590/3*g**3 - 5170/3*g = 0.
3/5, 1, 11
Factor 2/3*q**2 + 170/3*q - 172/3.
2*(q - 1)*(q + 86)/3
Let n(c) be the first derivative of c**3 - 43 - 3/5*c**5 + 0*c + 3/8*c**4 - 3/4*c**2. Suppose n(q) = 0. Calculate q.
-1, 0, 1/2, 1
Suppose 5*t = 62 + 83. Let 45*m - 5*m**2 + 99 - 18 + t = 0. Calculate m.
-2, 11
Let a = 522295 - 522295. Factor 3/8*d**3 + a*d - 9/2*d**2 + 0.
3*d**2*(d - 12)/8
Let s = 7451 - 7445. Let p(f) be the first derivative of -25/6*f**3 + 5*f**2 - 25/8*f**4 + 5/12*f**s - 2 + 1/2*f**5 + 10*f. Let p(k) = 0. Calculate k.
-2, -1, 1, 2
Let j(s) be the second derivative of s**5/130 + 126*s**4/13 + 10*s + 23. Determine c, given that j(c) = 0.
-756, 0
Let i(v) be the second derivative of v**5/510 - v**4/204 - 2*v**3/51 - 31*v**2 + 14*v - 1. Let z(x) be the first derivative of i(x). Factor z(h).
2*(h - 2)*(h + 1)/17
Let c(r) be the first derivative of -r**6/6 - 20*r**5/3 - 205*r**4/2 - 2240*r**3/3 - 14455*r**2/6 - 1372*r + 2161. Determine j, given that c(j) = 0.
-12, -7, -1/3
Suppose 6 = -2*l - c + 14, 4 = -2*l - 4*c. Suppose l*f + 43 + 2*f**2 + 53 - 116 = 0. What is f?
-5, 2
Let l be (-11 + -16)*(2/11 + (-616)/726). Let r = -29 + 67. Let -85*o**2 - 10*o - 25*o**3 - r*o + l*o = 0. Calculate o.
-3, -2/5, 0
Let h(w) be the first derivative of -8/3*w**2 - 8/3*w + 14/3*w**3 - 127. Suppose h(p) = 0. What is p?
-2/7, 2/3
Let n(h) be the first derivative of 1/2*h**2 + 7/3*h**3 - 1/5*h**5 - 1/4*h**4 - 6 - 6*h. Solve n(j) = 0.
-3, -1, 1, 2
Let a(s) = -s**2 - 2*s - 1. Let z(w) = w**3 + 10*w**2 + 32*w - 122. Let p(r) = 2*a(r) - z(r). Let o(x) be the first derivative of p(x). Factor o(u).
-3*(u + 2)*(u + 6)
Let f(l) = -l**3 + 6*l + 20. Let i be f(5). Let x be (i/825)/(8/(-22)). Factor 1/4*t**5 - 3/4*t**4 - 1/2*t + 3/4*t**2 + x*t**3 + 0.
t*(t - 2)*(t - 1)**2*(t + 1)/4
Let m(z) be the third derivative of z**8/8820 + z**7/1960 + z**6/2520 - z**5/60 - 2*z**3 + 183*z**2. Let y(d) be the third derivative of m(d). Factor y(x).
2*(x + 1)*(8*x + 1)/7
What is o in 112/3*o**4 + 0 + 2390/3*o**3 - 1/3*o**5 + 4296*o**2 + 3537*o = 0?
-9, -1, 0, 131
Let y(g) be the first derivative of 6*g - 9 + 3/2*g**2 - 2*g**3 - 3/4*g**4. Factor y(d).
-3*(d - 1)*(d + 1)*(d + 2)
Factor 540/7*b**2 + 549/7*b - 1086/7 - 3/7*b**3.
-3*(b - 181)*(b - 1)*(b + 2)/7
Let -2/9*h**4 - 52 + 2*h**3 + 110/9*h**2 - 14/3*h = 0. What is h?
-3, 2, 13
Let z be 4/14 - (9 - (-178)/(-14)). Suppose -8*k + 16 = 4*t - 12*k, -k - z = 3*t. Find h such that -1/4*h + 1/4*h**3 + t + 0*h**2 = 0.
-1, 0, 1
Let o(s) = -s**2 + 10*s + 128. Let v be o(-7). Let j be -21*-1*1*1. Factor f**2 - 7 - 3 + j - 3*f - v.
(f - 2)*(f - 1)
Let v(r) be the second derivative of -51*r + 0*r**3 + 2 + 0*r**2 + 5/42*r**4 - 1/105*r**6 - 2/35*r**5. Factor v(p).
-2*p**2*(p - 1)*(p + 5)/7
Let h(w) = 10*w**3 - 426*w**2 + 15540*w - 186630. Let q = 44 - 50. Let d(k) = -9*k**3 + 427*k**2 - 15542*k + 186629. Let u(j) = q*d(j) - 5*h(j). Solve u(a) = 0.
36
Let k(y) be the first derivative of -3*y**5/20 - 129*y**4/8 - 1849*y**3/4 + 23. Factor k(b).
-3*b**2*(b + 43)**2/4
Let y(z) = -2*z**3 + 39*z**2 - 90*z + 89. Let v be y(17). Let t(x) be the first derivative of 1/4*x**v + x**2 + x**3 + 0*x - 8. Find k, given that t(k) = 0.
-2, -1, 0
Suppose 137*k - 132*k - u - 28 = 0, -2*k - 4*u - 46 = 0. Let 3/5*p**k - 6 - 6/5*p**2 - 39/5*p = 0. Calculate p.
-2, -1, 5
Let h = 62133/4 + -15533. Factor 0 - 1/4*w**2 - h*w.
-w*(w + 1)/4
Suppose 0 = -393*v + 436*v - 129. Factor -2*z**2 - z**4 - 2/3*z - 1/6*z**5 + 0 - 13/6*z**v.
-z*(z + 1)**2*(z + 2)**2/6
Suppose -4*c - 6 = -6*c. Factor 4*h**2 + 7 + 3*h**3 - c + 12*h**2 - 2*h**4 - 201*h + 216*h.
-(h - 4)*(h + 1)**2*(2*h + 1)
Suppose 5*o + 1 + 4 = 5*k, 4*k - o = 16. Suppose -10 = -5*x - k*p, 0 = -p + 2 - 0. Suppose 2/7*q**5 + 0 + 2/7*q**3 + 0*q + x*q**2 - 4/7*q**4 = 0. What is q?
0, 1
Let o be (-5)/(45/(-42))*1056/16. Determine d, given that -o*d**3 + 226*d**2 + 61*d**4 + 67*d**4 + 8 + 90*d**4 - 40*d**5 - 32*d**4 - 72*d = 0.
1/4, 2/5, 1, 2
Find y such that -1/8*y**2 - 245025/8 + 495/4*y = 0.
495
Let p = 181847 - 2000299/11. Find x such that 2/11*x**5 + p*x**4 - 54/11*x + 36/11*x**2 - 54/11 + 52/11*x**3 = 0.
-3, -1, 1
Suppose -35*k + 79 = -971. Factor 2*v**4 - k*v**3 + 47*v + 132*v**2 + 964 - 820 - 52*v - 227*v.
2*(v - 9)*(v - 2)**3
Let m(d) be the second derivative of -d**7/147 + 3*d**6/35 - d**5/5 - 11*d**4/7 + 69*d**3/7 - 135*d**2/7 - 6915*d. Find y such that m(y) = 0.
-3, 1, 3, 5
Let c(v) be