**2.
-(k - 11)*(k - 4)*(k - 1)**2/8
Let k(h) be the first derivative of -h**4/4 - 7*h**3/3 + 73*h**2/2 - 65*h - 786. Factor k(c).
-(c - 5)*(c - 1)*(c + 13)
Let d(m) be the third derivative of -m**7/105 - m**6/30 + 4*m**5/3 + 73*m**4/6 + 35*m**3 - m**2 - 7*m - 80. Suppose d(z) = 0. Calculate z.
-5, -3, -1, 7
Let t(a) = -96*a - 560. Let z be t(-24). Let g = 8724/5 - z. Factor -2/5 - 2/5*i**2 - g*i.
-2*(i + 1)**2/5
Let f be (-408)/34*-4*(-2)/(-6). Let r be (-11)/2 - ((-20)/(-2) - f). Factor -3/2 - 2*z - r*z**2.
-(z + 1)*(z + 3)/2
Suppose 0 = -5*y - 31*n + 29*n + 44, 3*n = 4*y - 49. Determine p, given that -1/3*p**2 + y - 13/3*p = 0.
-15, 2
Let q = -13856/153 - -102806/1071. Solve -4*n - 8/7*n**4 - 8/7 - q*n**2 - 25/7*n**3 - 1/7*n**5 = 0.
-2, -1
Let i(y) = -4*y**2 - 8846*y + 3907268. Let k(x) = 35*x**2 + 70770*x - 31258140. Let v(c) = -25*i(c) - 3*k(c). Factor v(g).
-5*(g - 884)**2
Let k(p) = 4*p + 4*p**2 + 12*p + 3 + 8*p - 5*p + p. Let v be k(-5). Factor 0 + 12/5*a + 18/5*a**2 + 6/5*a**v.
6*a*(a + 1)*(a + 2)/5
Let o(w) be the second derivative of -3*w**5/20 - 9*w**4/4 - 7*w**3 + 336*w. Factor o(h).
-3*h*(h + 2)*(h + 7)
Suppose 0*l + 5*l - 245 = 4*v, -2*l + 4*v + 86 = 0. Find i such that i**4 + 91*i - 112 - 80*i**3 + 8*i**5 + l*i + 70*i**2 - 18*i**2 - 12*i**4 - i**4 = 0.
-2, 1, 7/2
Let g(s) be the third derivative of 0 + 34/3*s**4 + 115*s**2 + 1/120*s**6 - 13/24*s**5 - 64/3*s**3 + 0*s. Factor g(w).
(w - 16)**2*(2*w - 1)/2
Let p be -46 - (-53)/((-2173)/(-2009)). Factor 0*i + 0 - 5/2*i**2 - 1/2*i**4 + 9/4*i**p.
-i**2*(i - 2)*(2*i - 5)/4
Let r(n) = 2*n**2 + 8*n - 10. Let f(b) = 2*b - 2. Let c(g) = -3*f(g) + r(g). Suppose c(z) = 0. Calculate z.
-2, 1
Let t(x) be the second derivative of x**4/96 - 559*x**3/24 + 312481*x**2/16 - 6717*x. Determine w, given that t(w) = 0.
559
Suppose -128 = n - 130. Factor -j**2 + j**2 + 60*j - 153 - 8*j**n - 3*j**2 + 8*j**2.
-3*(j - 17)*(j - 3)
Let p(w) = -20*w**3 + 310*w**2 - 71*w - 21. Let l(y) = 2*y**3 - 31*y**2 + 6*y + 2. Let d(v) = 21*l(v) + 2*p(v). Find z such that d(z) = 0.
-1/2, 0, 16
Let t(a) be the second derivative of -a**5/150 + a**4/60 + 3*a**2/2 - 67*a. Let b(c) be the first derivative of t(c). Factor b(p).
-2*p*(p - 1)/5
Let v(y) be the third derivative of 5/36*y**3 + 0 - 95/24*y**4 + 4*y**2 + 15*y - 6859/18*y**6 + 361/6*y**5. Solve v(t) = 0.
1/38
Let q(r) be the third derivative of r**8/90720 - r**7/1890 + 11*r**6/3240 - 4*r**5/3 + 7*r**2 + 3*r. Let h(d) be the third derivative of q(d). Factor h(b).
2*(b - 11)*(b - 1)/9
Let r(k) = -7 + 13*k**2 - 5 + 60 + 56*k. Let f(v) = 177 + 28*v - 61 - 92 + 6*v**2. Let o(d) = -5*f(d) + 2*r(d). Solve o(j) = 0.
-6, -1
Let m = -2787 - -4005. Let g be (-6)/2*m/(-9). Find x such that -x**3 - 2 - x**4 + 4*x - 6 - 400*x**2 + g*x**2 = 0.
-2, 1, 2
Let z(u) be the third derivative of -63*u**6/80 + 27*u**5/20 + 13*u**4/16 - u**3 - 4644*u**2. Let z(p) = 0. What is p?
-1/3, 4/21, 1
Let y(m) be the third derivative of m**9/2160 - 39*m**8/2240 - 4*m**7/63 - m**6/20 + 7*m**4/24 + 5*m**2. Let q(r) be the second derivative of y(r). Factor q(a).
a*(a - 18)*(a + 1)*(7*a + 2)
Suppose -4*p = 19*p - 138. Let m(k) be the third derivative of 2/3*k**3 - 2/15*k**5 + 4*k**2 + 0*k**4 + 0 + 2/105*k**7 + 0*k**p + 0*k. What is b in m(b) = 0?
-1, 1
Let y = -305 + 308. Find g such that -288*g**2 - 21 - 113 - 17 + y*g**3 + 752*g - 41 + 25*g**3 = 0.
2/7, 4, 6
Let r = 71 + -83. Let q be (1/(-4))/(8/r). Solve -3/4*o**2 - 3/2*o**3 + 3/2*o**4 - 3/4 - q*o**5 + 15/8*o = 0.
-1, 1, 2
Let k be (-3)/(((-3510)/60)/39). Find j, given that 0*j + 0 + 1/4*j**3 + 1/4*j**k = 0.
-1, 0
Suppose 4*u - 4*z = 3144, 8*u - 3954 = 3*u - 3*z. Factor j**2 + 789 - 4*j - u.
j*(j - 4)
Let k(z) be the second derivative of -z**4/54 + 71*z**3/27 + 146*z**2/9 - 808*z. Find c such that k(c) = 0.
-2, 73
Let w(b) be the first derivative of b**6/6 - 21*b**4/4 + 16*b**3/3 + 54*b**2 - 144*b + 3324. Solve w(i) = 0.
-4, -3, 2, 3
Let n(y) = 3*y**2 + 5*y + 7. Let m be n(-1). Factor 2*s + 218*s**4 - 217*s**4 - s - m*s + 3*s**3.
s*(s - 1)*(s + 2)**2
Let s(m) be the third derivative of -1/9*m**3 + 11/60*m**5 + 0*m + 85*m**2 + 31/72*m**4 + 0. Factor s(o).
(o + 1)*(33*o - 2)/3
Let j be (-6)/6*(5 + -2). Let v be (j - (-16)/3) + 12/18. Solve 0*w**4 + 0*w**2 - 1/3*w**5 + 0 + 1/3*w**v + 0*w = 0.
-1, 0, 1
Let s be (-2)/29 + (-93)/(-87) + 2/(-4). Factor s*g**5 - g**4 + 0 - 2*g - 3/2*g**3 + 4*g**2.
g*(g - 2)*(g - 1)**2*(g + 2)/2
Find x, given that -4*x**2 + 568*x + 434 - 436 + 574 = 0.
-1, 143
Suppose -7*i = -150 - 515. Solve 3*y + i*y**2 + y**4 + 3*y - 102*y**2 = 0.
-3, 0, 1, 2
Let g = 1771816 - 5315447/3. Factor 5/3 - 1/3*d**3 - 5/3*d**2 + g*d.
-(d - 1)*(d + 1)*(d + 5)/3
Let x(m) be the first derivative of 5/21*m**3 - 25*m - 1/42*m**4 - 6/7*m**2 - 19. Let t(n) be the first derivative of x(n). Factor t(k).
-2*(k - 3)*(k - 2)/7
Solve 0 - 6437*r**2 - 4 - 3*r**3 + 4 - 1058508*r + 2873*r**2 = 0.
-594, 0
Let u be -5 + (-14)/(-14) - 74/(-72). Let v = u + 41/12. Factor -v*d**2 + 4/3 - 8/9*d.
-4*(d - 1)*(d + 3)/9
Let u(h) = -456*h + 5018. Let z be u(11). Let c(o) be the first derivative of -34 + 3/4*o**4 + 2*o**3 + 0*o**z + 0*o. Factor c(r).
3*r**2*(r + 2)
Suppose -24 + 4*k**3 - 4/5*k**4 - 116/5*k + 28/5*k**2 = 0. Calculate k.
-2, -1, 3, 5
Let y = -227/5 - -46. Let v = 241 + -239. Find c, given that 0 - y*c**v + 0*c = 0.
0
Suppose 19*x - 9706 = -4*x. Let s = -2078/5 + x. Factor 2/5*p**2 + 16/5*p + s.
2*(p + 4)**2/5
Let x = -246 - -251. Factor g**4 + 3*g**4 + 10*g**3 + 6*g**4 - x*g**4.
5*g**3*(g + 2)
Let h(y) be the third derivative of 0*y + 0 + y**4 + 1/180*y**5 + 145*y**2 + 72*y**3. Factor h(q).
(q + 36)**2/3
Let z(l) be the first derivative of 4*l**3/3 + 94*l**2 + 528*l - 8286. Suppose z(j) = 0. What is j?
-44, -3
Let h = 11708 + -222308/19. Let 6/19*a**3 + h + 168/19*a - 68/19*a**2 = 0. Calculate a.
-2/3, 6
Let q(o) be the second derivative of -245*o**4/18 - 181*o**3/18 + o**2 + 20*o - 24. Factor q(h).
-(5*h + 2)*(98*h - 3)/3
Let v(d) be the first derivative of d**3/3 - 162*d**2 + 26244*d - 788. Factor v(l).
(l - 162)**2
Let f(s) = -109*s + 169*s - 39 - 99*s. Let j be f(-1). Suppose q**5 - q**3 + 0 - 1/2*q**2 + 1/2*q**4 + j*q = 0. Calculate q.
-1, -1/2, 0, 1
Suppose -2 = 286*u - 24*u - 2. Suppose -6/13*p**4 + 6/13*p**3 - 2/13*p**2 + 2/13*p**5 + u*p + 0 = 0. What is p?
0, 1
Let a(i) = 7*i**4 + 49*i**3 + 92*i**2 + 50*i - 3. Let y(o) = -12*o**4 - 97*o**3 - 183*o**2 - 98*o + 5. Let c(l) = -5*a(l) - 3*y(l). Let c(f) = 0. What is f?
-44, -1, 0
Factor 51*q**2 - 13*q - 99*q**3 + 4*q**4 - 20*q + 225*q + 27*q**3 + 65*q**2.
4*q*(q - 16)*(q - 3)*(q + 1)
Let y(c) be the second derivative of -11/18*c**4 + 121/9*c**3 + 3*c - 1331/9*c**2 + 1/90*c**5 + 8. Factor y(j).
2*(j - 11)**3/9
Let i = 10 - 7. Suppose i*o - 10*o = -420. Let 7*p**5 + 5*p - 10*p**5 + 18*p**5 + o*p**3 + 30*p**2 + 50*p**4 = 0. Calculate p.
-1, -1/3, 0
Suppose -4*h + 6 = -2*q, 0*h = -4*q + 4*h + 4. Factor -2 - 6 + 15*b + 8 + q*b**2.
5*b*(b + 3)
Suppose -540 + 210 = -11*i. Let q be -6 + ((-216)/i)/(-1) + -1. Solve -3/5*l - 3/5*l**2 - 1/5 - q*l**3 = 0 for l.
-1
Let s(k) = -2*k**3 - 102*k**2 - 208*k + 80. Suppose -32 = 4*r - p, 5*r + 58 = -4*p + 18. Let n(h) = -2*h**3 + 2*h + 1. Let l(b) = r*n(b) + s(b). Factor l(x).
2*(x - 9)*(x + 2)*(7*x - 2)
Let n(j) be the second derivative of 1/120*j**5 + 1/18*j**4 + 0*j**2 - 7*j - 16 + 0*j**3. Find x such that n(x) = 0.
-4, 0
Suppose 28*b - 252 = -0*b. Let k = 46 + -20. Suppose 168*a + k + 73*a**2 - b + 19 + 123*a**2 = 0. What is a?
-3/7
Let i be 33/(-6)*(-11 + 13) - (-142)/12. Determine d, given that -14/3*d - i*d**4 + 17/6*d**2 + 2 + 1/2*d**3 + 1/6*d**5 = 0.
-2, 1, 2, 3
Let r be -34*(-5 - (-10 + 8)). Let k be 13 - 17/(r/60). Factor -v**2 + 13/2*v - k.
-(v - 6)*(2*v - 1)/2
Let w be (9/(-54))/(9*(-40)/1620). Determine x, given that 0 - 3/8*x**5 - 3/8*x**4 + 9/8*x**3 + w*x + 15/8*x**2 = 0.
-1, 0, 2
Let f(y) be the third derivative of 0*y - 1/60*y**6 + 0 - 1/6*y**5 - 7/12*y**4 - 10*y**2 - y**3. Suppose f(i) = 0. Calculate i.
-3, -1
Let o = 2791/2 + -19531/14. Determine q so that 6/7 + 9/7*q + o*q**2 = 0.
-2, -1
Suppose k = 4, 5*l - 5*k = 2*l - 11. Let s be (-5)/(-2) + l/6. What is y in 16*y + 25*y**2 - 25*y**2 - y**3 - 12*y**2 - 3*y**s = 0?
-4, 0, 1
Let w(r) be the first de