**5/114 + w**4/114 + 131*w**2/2 + 82. Let g(j) be the second derivative of i(j). Factor g(c).
-2*c*(c - 2)*(c - 1)**2/19
Solve -15/7*r**2 + 6306/7*r - 360 = 0 for r.
2/5, 420
Suppose 4*u = -4*y + 24, u + 260 = -5*y + 286. Determine c, given that 27/4*c**4 + 9/4*c**3 + 3/4*c**y - 27 + 72*c - 219/4*c**2 = 0.
-6, 1
Let a be 166815/(-1582035) + (-12)/(-114). Let c = a + 29891/5551. Factor c*p + 50/13 + 2/13*p**3 + 22/13*p**2.
2*(p + 1)*(p + 5)**2/13
Let x = 630766/19311 - -20/6437. Find p such that -56/3*p**4 + 286/3*p**3 + 364/3*p**2 + 16/3 - x*p**5 + 136/3*p = 0.
-1, -2/7, 2
Suppose -3*f = -4*l - 5 - 5, -2*f = -l - 5. Find i, given that 2 + 123*i**2 - 6*i - 120*i**2 - f = 0.
0, 2
Let k = -726 + 728. Suppose 6*b - k*b - 12 = -f, -5*f + 26 = 3*b. Factor 4/3*h - 1/3*h**b + 0.
-h*(h - 4)/3
Solve -1828*m**3 - 254*m**4 + 3156*m**2 + 519*m**4 - 240 - 152 - 972*m - 229*m**4 = 0.
-2/9, 1, 49
Find y, given that 2/13*y - 30/13 + 158/13*y**2 - 10*y**3 = 0.
-5/13, 3/5, 1
Let y(l) be the first derivative of -5*l**3/3 - 70*l**2 - 800*l - 12273. Solve y(b) = 0.
-20, -8
Let h be 2/26 + (-32680)/(-7800). Let r(o) be the third derivative of -h*o**3 - 1/150*o**5 + 16*o**2 + 0 + 4/15*o**4 + 0*o. Suppose r(n) = 0. What is n?
8
Let p(n) be the first derivative of -1/3*n**4 + 0*n**2 + 15 + 0*n**5 + 2/15*n**6 + 0*n**3 - 9*n. Let k(f) be the first derivative of p(f). Factor k(r).
4*r**2*(r - 1)*(r + 1)
Suppose 76 = 3*v - o, -2*o = -0*v - 3*v + 77. Suppose 0 = 5*l - v, x - 24 = -0*x - 4*l. Factor -3*m**4 - 227*m**3 - 12*m**2 + 0*m**x + 212*m**3.
-3*m**2*(m + 1)*(m + 4)
Let c(i) be the third derivative of 0 - 2662/3*i**4 + 0*i + 2/105*i**7 + 29282/3*i**3 + 242/5*i**5 - 22/15*i**6 - 68*i**2. Determine o so that c(o) = 0.
11
Let p(q) be the second derivative of -q**5/4 - 215*q**4/12 - 385*q**3/2 - 1665*q**2/2 + 855*q. Determine f so that p(f) = 0.
-37, -3
Let y = 1257145/2 + -628571. Factor -1/2*b**2 + 2 - y*b.
-(b - 1)*(b + 4)/2
Let s(n) be the first derivative of -n**6/30 + 19*n**5/5 - 361*n**4/2 + 13718*n**3/3 + 25*n**2/2 - 96. Let w(r) be the second derivative of s(r). Factor w(l).
-4*(l - 19)**3
Let y(v) be the third derivative of v**5/12 + 495*v**4/2 + 294030*v**3 - 1458*v**2. Factor y(z).
5*(z + 594)**2
Suppose 3853 = -a + 1641. Let f = a - -24364/11. Factor -f*u - 40/11 - 2/11*u**2 + 2/11*u**3.
2*(u - 5)*(u + 2)**2/11
Let m = 5828 - 29139/5. Let c(n) be the first derivative of 2/5*n**2 - 2/5*n + 2 - m*n**4 + 2/15*n**3. Factor c(d).
-2*(d - 1)*(d + 1)*(2*d - 1)/5
Let r(v) = 36*v**2 - 752*v - 320. Let b be (-72)/(-108) + 68/6 + 2. Let j(q) = -7*q**2 + 150*q + 64. Let k(i) = b*j(i) + 3*r(i). Find g such that k(g) = 0.
-2/5, 16
Determine v, given that 0*v - 24/7*v**3 + 0 + 0*v**2 - 4/7*v**5 - 20/7*v**4 = 0.
-3, -2, 0
Factor 0 + 40/3*m**3 - 1/3*m**4 + 173/3*m**2 + 44*m.
-m*(m - 44)*(m + 1)*(m + 3)/3
Suppose -4*y = 2*a - 9*y + 9, -3*a + 2*y = -3. Solve 2*c + 16*c**2 - 22*c + 15*c**a - 11*c**3 + 0*c**3 = 0.
-5, 0, 1
Solve 0*z + 0 + 141/5*z**4 + 6*z**5 + 66/5*z**3 - 72/5*z**2 = 0.
-4, -6/5, 0, 1/2
Suppose -h + 4 = f + 3*h, 0 = -2*f - 4*h + 8. Let r be -1*f/12*-6. Factor 2035 - 2035 + 3*b**3 + 6*b**r - 9*b.
3*b*(b - 1)*(b + 3)
Let u(p) be the third derivative of p**10/604800 - p**9/120960 + 13*p**5/60 + 2*p**2 + 63. Let r(z) be the third derivative of u(z). Factor r(w).
w**3*(w - 2)/4
Let -18/11*s**3 - 784/11 + 626/11*s**2 - 308*s = 0. Calculate s.
-2/9, 7, 28
Let w = 895061 - 1790119/2. Let 0*z + w*z**3 + 0 + 99/2*z**2 = 0. Calculate z.
-33, 0
Let o = -8552 - -8557. Let p(f) be the second derivative of 0*f**3 - 1/130*f**5 + 1/78*f**4 + 0*f**2 + o*f + 0. Let p(n) = 0. What is n?
0, 1
Factor -288*m**2 + 117*m**2 - 192*m + 86*m**2 - 270 + 99*m**2.
2*(m - 15)*(7*m + 9)
Let g(s) = 6*s**3 + 34*s**2 + 5*s - 5. Let h(o) = -5 + 2 + 6*o**3 - 20*o - 3*o**3 + 23*o + 18*o**2. Let u(p) = 3*g(p) - 5*h(p). Let u(z) = 0. Calculate z.
-4, 0
Determine y so that 2/7*y**3 + 96/7 + 124/7*y + 30/7*y**2 = 0.
-8, -6, -1
Suppose 3*l - 4 = 2*n - 0, -16 = 3*l - 22*n. Let 1/5*u**l + 18/5*u - 19/5 = 0. What is u?
-19, 1
Let l be 102 + -107 + (-43 + 1)/(-2). Let t be 4*(-3)/36 + l/30. Factor 3/5*p**3 + 0 + 2/5*p**2 + 0*p + t*p**4.
p**2*(p + 1)*(p + 2)/5
Let u(g) be the first derivative of -2*g**5/45 + 271*g**4/18 - 16198*g**3/9 + 703885*g**2/9 + 3014284*g/9 - 1397. Factor u(t).
-2*(t - 91)**3*(t + 2)/9
Let m(d) be the first derivative of d**4 - 40*d**3/3 + 34*d**2 - 32*d + 2188. Factor m(f).
4*(f - 8)*(f - 1)**2
Let u = 41/3675 + 98897/29400. Factor 6 + u*h**3 + 15*h + 99/8*h**2.
3*(h + 1)*(3*h + 4)**2/8
Determine r, given that 106/5 - 1/5*r**4 - 107/5*r - 21*r**2 + 107/5*r**3 = 0.
-1, 1, 106
Let l = -439735/4 - -109934. Suppose 3/4 - 1/4*h**3 + 5/4*h + l*h**2 = 0. Calculate h.
-1, 3
Let m be ((-30)/(-14))/((-1797)/(-4193)). Let q(d) be the third derivative of -1/720*d**6 + 8*d**2 + 0*d**3 + 0 - 1/180*d**m - 1/144*d**4 + d. Factor q(r).
-r*(r + 1)**2/6
Let j(y) be the second derivative of -y**8/3360 + y**7/560 + y**6/180 - 25*y**3/3 + 11*y. Let g(t) be the second derivative of j(t). Factor g(n).
-n**2*(n - 4)*(n + 1)/2
Suppose -13 = -2*r + 3*k, 239*r + k + 9 = 242*r. Let w(m) be the third derivative of 12*m**r + 1/150*m**5 - 1/15*m**4 + 0*m + 1/5*m**3 + 0. Factor w(q).
2*(q - 3)*(q - 1)/5
Find k such that 105*k + 0 + 215/2*k**4 - 215/2*k**2 - 205/2*k**3 - 5/2*k**5 = 0.
-1, 0, 1, 42
Let z = 12 + -54. Let u be 77/z + (2 - 0). Factor -1/6*g**3 + 1/6*g - 1/6*g**4 + u*g**2 + 0.
-g*(g - 1)*(g + 1)**2/6
Let q(w) = -3*w**3 + 566*w**2 - 23707*w - 103780. Let i(t) = -12*t**3 + 2269*t**2 - 94826*t - 415118. Let f(a) = 4*i(a) - 17*q(a). Factor f(x).
3*(x - 93)**2*(x + 4)
Let j be 1 - 3/6*-2. Let g(x) = -1 - x**j - 16 + 0 - 8*x. Let w(l) = -4*l - 8. Let s(m) = -2*g(m) + 5*w(m). Determine p so that s(p) = 0.
-1, 3
Let s(o) be the first derivative of 18*o**5/5 - 115*o**4/2 + 578*o**3/3 + 511*o**2 + 196*o + 112. Factor s(l).
2*(l - 7)**2*(l + 1)*(9*l + 2)
Let p = 44 - 31. Suppose -p + 28 = 5*s. Find i such that -2 + 4*i**2 - i**3 + s*i**3 + 2*i + 2 = 0.
-1, 0
Suppose -35*f**3 + 300*f + 5*f**5 + 41*f**4 + 35*f**4 + 19*f**4 - 320*f**2 - 45*f**4 = 0. What is f?
-10, -3, 0, 1, 2
Let k be (62274/2140)/((-3)/(-2)) - (5 + 0). Factor -k*c + 648/5 + 2/5*c**2.
2*(c - 18)**2/5
Let m(h) be the second derivative of 3*h**5/40 + 169*h**4/8 - 35*h. Factor m(p).
3*p**2*(p + 169)/2
Let w be ((-2)/2)/((-35)/15 + 2). Suppose 12*f**3 - 16*f**4 + 11*f**4 + 28*f**w - 80*f**2 = 0. Calculate f.
0, 4
Suppose 25*d - 578 = 580 - 1158. Let u(w) = w - 19. Let v be u(21). Factor 2/11*b**v + 4/11*b + d.
2*b*(b + 2)/11
Let y(d) be the first derivative of 8/3*d**3 + 0*d**5 + 4*d**4 + 116 - 2/3*d**6 - 6*d**2 - 8*d. Find q, given that y(q) = 0.
-1, 1, 2
Let x be (-14)/21 + (-8)/6. Let h be 6 + x/(-2) + -4. Factor -7/5*m**h + 8/5 + 1/5*m**4 + 18/5*m**2 - 4*m.
(m - 2)**3*(m - 1)/5
Let v be 67755/(-29850) - (-1)/(3 + -8). Let p = 6/199 - v. Solve 3/2 + 1/2*a**2 - p*a + 1/2*a**3 = 0.
-3, 1
Let c be (-2)/(-6)*(4 - 14/(-7)). Solve 12*w**2 - 3*w + 25*w**2 - c*w - 20*w**4 + 56*w**3 + 55*w**2 + 21*w = 0.
-1, -1/5, 0, 4
Suppose -79*l + 77*l + 8 = 0. Let -27 - 19*z + l*z**2 + z**2 - 2*z**2 - 11*z + 6*z = 0. Calculate z.
-1, 9
Let y = 199/69 + -28/23. Let n(f) be the first derivative of 10 + 5*f + y*f**3 - 5*f**2. Factor n(w).
5*(w - 1)**2
Let g = -240 - -361. Suppose 110*m + 44 = g*m. Factor 0 - 7/2*o**5 - m*o**2 - 18*o**3 + 0*o - 15*o**4.
-o**2*(o + 2)**2*(7*o + 2)/2
Determine c, given that -883*c**2 - 513*c**4 - 4*c**5 + 1676*c**2 + 654*c**4 - 2292*c**3 + 1491*c**2 - 760*c + 631*c**4 = 0.
0, 1, 190
Factor -161*a**3 - 5*a**4 - 350*a + 21*a**3 + 515*a**2 - 20*a**3.
-5*a*(a - 2)*(a - 1)*(a + 35)
Let k = -123 + 143. Factor 0 + 0 + 0 - 7*u + 2*u - k*u**2.
-5*u*(4*u + 1)
Let w(r) be the second derivative of -5*r**4/4 - 149*r**3/6 + 5*r**2 - 2682*r + 1. Factor w(z).
-(z + 10)*(15*z - 1)
Let m(l) be the second derivative of l**4/3 - 42*l**3 + 1924*l**2 - 8225*l. Find d, given that m(d) = 0.
26, 37
Let z(w) be the second derivative of 3*w**7/35 + 133*w**6/75 + 87*w**5/50 - 161*w**4/30 - 32*w**3/5 + 28*w**2/5 - 72*w - 2. Determine y, given that z(y) = 0.
-14, -1, 2/9, 1
Let i be 243/(-135) + (-1)/5. Let w be (216/180)/((-6)/8*i). Determine p, given that p**3 + 0*p + 0 +