of -u**5/180 + u**3/2 - 53*u**2/2 + 66*u. Let z(f) be the first derivative of b(f). Factor z(y).
-(y - 3)*(y + 3)/3
Let h(u) = 12*u + 9 + 17*u**2 - 2*u - 16*u**2 - 5*u. Let o be h(-3). Solve 8/3*v**o + 14/3*v**2 - 4/3*v + 0 = 0 for v.
-2, 0, 1/4
Find u, given that -u**4 - 11027*u**2 - 12038*u**2 + 7568*u - 5040 + 19273*u**2 + 636*u**3 = 0.
2, 630
Let j = -113 - -118. Suppose -5*r**4 - 1 - 3*r**2 - 6*r**2 - 3*r**2 + r**j + r**2 + r**2 + 5*r + 10*r**3 = 0. Calculate r.
1
Let o(g) be the second derivative of g**4/42 + 14*g**3/3 + 719*g + 4. Solve o(a) = 0 for a.
-98, 0
Factor -255 - 1/3*p**2 - 94/3*p.
-(p + 9)*(p + 85)/3
Solve -352*r**2 + 5/2*r**4 + 118*r + 0 + 283/2*r**3 = 0.
-59, 0, 2/5, 2
Let p = -7348/63 - -818/7. Let g = p - 1/45. Let -o - g*o**2 - 4/5 = 0. Calculate o.
-4, -1
Let b be -80*(7 - 5) + 2 + -1. Let n = 162 + b. Solve 1/3*o**2 - 1/3 + 1/3*o**n - 1/3*o = 0 for o.
-1, 1
Let u(n) be the first derivative of -2*n**3/15 + 32*n**2/5 - 88*n - 358. Determine g, given that u(g) = 0.
10, 22
Let o be 276/57 + 81/513. Let r be -2 + (2 - (1 + -3)). Let 2/7*z + 2/7*z**o + 4/7 + 4/7*z**4 - 4/7*z**3 - 8/7*z**r = 0. Calculate z.
-2, -1, 1
Factor -44/3*j**3 - 17*j + 70/3*j**2 + 14/3 + 4*j**4 - 1/3*j**5.
-(j - 7)*(j - 2)*(j - 1)**3/3
Let i be ((-29 + -7)/(-6) + -6)/2. Let o(q) be the first derivative of i*q + 1/12*q**3 - 1/32*q**4 - 9 - 1/16*q**2. Factor o(t).
-t*(t - 1)**2/8
Let m(r) be the second derivative of 6 - 5*r + 1/4*r**4 + 5/2*r**3 + 6*r**2. Factor m(p).
3*(p + 1)*(p + 4)
Solve -2/11*o**3 + 2592/11 - 360/11*o - 64/11*o**2 = 0 for o.
-18, 4
Factor -5*c**2 + 3*c**2 + c**2 - 386 + 288 + 40*c + 11*c.
-(c - 49)*(c - 2)
Suppose -6*f - 14 = -32. Solve 13*s + s**4 + s**4 + 8*s**5 - 11*s + 4*s**4 + 3*s**2 - 19*s**f = 0.
-2, -1/4, 0, 1/2, 1
Suppose c + 3 = 0, 0 = 4*z - 2*z + 4*c - 8. Suppose -z + 4 = -2*a. Factor -48 + 32 - 13*p - 4*p**2 - a*p.
-4*(p + 2)**2
Let y = -35 + 203. Let h be 15/6*y/180. Solve -v**3 - 5/3*v - h*v**2 - 1/3 = 0 for v.
-1, -1/3
Let u(z) = 7*z + 15. Let x(g) = -20*g - 45. Let f(t) = -17*u(t) - 6*x(t). Let k be f(-12). Suppose -4*s - 2*s - s + s - 3*s**2 - k = 0. What is s?
-1
Let u(x) be the third derivative of -x**8/448 + 3*x**7/40 + 23*x**6/80 + x**5/40 - 45*x**4/32 - 23*x**3/8 + 2*x**2 + 134. Find n, given that u(n) = 0.
-1, 1, 23
Solve -7/5*o**2 + 44/5*o - 1/5*o**3 + 0 = 0.
-11, 0, 4
Let c(s) be the first derivative of -3*s**4 - 688*s**3/3 + 594*s**2 + 472*s + 3633. Let c(g) = 0. What is g?
-59, -1/3, 2
Let s(b) be the second derivative of b**4/12 - 30*b**3 + 6*b - 60. Solve s(n) = 0 for n.
0, 180
Let m(p) be the third derivative of p**5/15 + 478*p**4/3 + 456968*p**3/3 - 2430*p**2. Factor m(l).
4*(l + 478)**2
Factor -79/2*z + 1/6*z**3 - 35/6*z**2 - 123/2.
(z - 41)*(z + 3)**2/6
Let k(i) be the second derivative of i**5/30 - 5*i**4 + 152*i + 6. Factor k(x).
2*x**2*(x - 90)/3
Let j(u) = -58*u**2 + 30744*u + 19691532. Let k(v) = -17*v**2 + 10248*v + 6563844. Let n(b) = -3*j(b) + 10*k(b). Factor n(s).
4*(s + 1281)**2
Determine u so that 2/3*u**4 - u**3 - 26/3*u**2 + 21*u - 12 = 0.
-4, 1, 3/2, 3
Let t be 3 + -3 + 5*-107. Let x = t - -2722. Find n, given that 1320*n + 5338*n**2 + 96 + 10206*n**3 - 3615*n**2 + x*n**4 + 4433*n**2 = 0.
-4, -2/9
Let s be 32/3*(-69)/(-46). Determine f, given that 17*f**2 - 25*f**2 + s*f - 57*f**3 + 19*f - 22*f**2 + 52*f**3 = 0.
-7, 0, 1
Suppose 3*h + 2*a - 42 = 0, 5*a = -61*h + 65*h - 56. What is k in -19*k - h*k**2 + 15/2 - 3/2*k**4 + 11*k**3 = 0?
-1, 1/3, 3, 5
Let b(m) be the second derivative of 0*m**2 + 0 + 1/40*m**6 + 2*m**4 - 16*m**3 + 21/40*m**5 + 203*m. Factor b(l).
3*l*(l - 2)*(l + 8)**2/4
Suppose -3*s + 2*k = -18, 13 + 12 = 4*s - 3*k. Factor 4*q**3 + 7*q**s + 4*q**5 - q**4 - 4*q**4 + 6*q**4.
4*q**3*(q + 1)**2
Determine c so that 14306 + 4*c**2 + 438738 + 595532 - 4096*c = 0.
512
Factor 1/3*t - 1/3*t**3 - 7/3 + 7/3*t**2.
-(t - 7)*(t - 1)*(t + 1)/3
Let q(r) be the third derivative of -r**7/210 + r**6/30 + r**5/3 - 2*r**4 + 2099*r**2. Solve q(s) = 0.
-4, 0, 2, 6
Let k(o) be the third derivative of o**6/540 + o**5/3 + 209*o**4/9 + 22264*o**3/27 - 26*o**2 - o - 3. Factor k(u).
2*(u + 22)**2*(u + 46)/9
Factor 0*d + 2/7*d**5 + 0 - 26/7*d**3 + 2*d**2 + 10/7*d**4.
2*d**2*(d - 1)**2*(d + 7)/7
Suppose 0 = 5*g - 5*p - 5, -21*g + 17*g + 5*p = -4. Let d be g*(-65)/75 - (-2 + 1). Factor 0*k + 0*k**4 - 2/5*k**3 + 0 + d*k**5 + 4/15*k**2.
2*k**2*(k - 1)**2*(k + 2)/15
Let c(z) be the first derivative of -4*z**3/15 + 354*z**2/5 - 31329*z/5 - 960. Find l such that c(l) = 0.
177/2
Let i(n) be the first derivative of n**5/36 + 4*n**4/9 - n**2 - 136*n + 173. Let a(u) be the second derivative of i(u). Factor a(z).
z*(5*z + 32)/3
Let i be -155 + -9 + -1 + 1. Let n = i + 167. Factor -4/3*x**4 - 44*x**2 - 160/3*x - 64/3 - 40/3*x**n.
-4*(x + 1)**2*(x + 4)**2/3
Suppose -16*q = -q - 4350. Let s be (-1798)/q - (-14)/2. Factor 2/5*m - 2/5*m**2 + s.
-2*(m - 2)*(m + 1)/5
Let m be 5/(-15) + (-4)/(-9). Let k = 1/953 + 944/8577. Factor 1/9*n - k + 1/9*n**2 - m*n**3.
-(n - 1)**2*(n + 1)/9
Let s(t) be the second derivative of 75*t**7/14 - 17*t**6/3 - 219*t**5/20 + 16*t**4/3 + 14*t**3 + 8*t**2 + 7452*t. Let s(y) = 0. Calculate y.
-4/9, -2/5, 1
Suppose 6*g = -13 - 137. Let m be (5/g)/((-2)/30). Solve 19*b**4 + 6*b**2 + 7*b**4 - 5*b**4 + 6*b**5 - m + 24*b**3 - 6*b = 0 for b.
-1, 1/2
Let o(n) be the second derivative of -n**4/114 - n**3/19 - 597*n + 3. Find m, given that o(m) = 0.
-3, 0
Let c(g) be the first derivative of g**6/18 - 8*g**5/15 + g**4/3 + 80*g**3/9 - 32*g**2/3 - 256*g/3 - 870. Factor c(b).
(b - 4)**3*(b + 2)**2/3
Suppose 6*h - 9 = 183. Suppose -i - 5*w = i - h, -3*i + 73 = -5*w. Let -5*t**2 - 15*t**4 - t**4 + 5*t**3 + i*t**4 - 5*t = 0. Calculate t.
-1, 0, 1
Let d(l) = 4*l**3 - 51*l**2 - 13*l + 2. Let u be d(13). Let q(p) be the first derivative of 0*p + 0*p**u - 2/15*p**3 + 12. Factor q(o).
-2*o**2/5
Let w = -459743/3 - -153277. Factor -w*k + 968/3 + 2/3*k**2.
2*(k - 22)**2/3
Let b(l) = -l**3 + 4*l**2 + 5*l + 2. Let r be b(5). Find n such that -46*n**r + 5*n**2 + 24 + 28*n**2 + 31*n**2 - 3*n**3 - 36*n = 0.
2
Let j(k) = 14*k - 4. Let s be j(3). Let q = s + -33. Factor 57*g**3 - 58*g**3 - 5*g - 3*g + 4 + q*g**2.
-(g - 2)**2*(g - 1)
Determine q so that 82*q**4 - 2*q**5 - 264*q**3 - 150*q - 486996*q**2 + 487352*q**2 - 22*q**4 = 0.
0, 1, 3, 25
Let y(k) be the second derivative of -k**5/50 + 4*k**3/5 + 14*k**2 - 26*k. Let p(i) be the first derivative of y(i). Factor p(w).
-6*(w - 2)*(w + 2)/5
Let g be ((-7)/(315/18))/((-4)/(-60)). Let f be (-65)/52*g/15. Factor 13*r - 169/2 - f*r**2.
-(r - 13)**2/2
Let t(s) = s**2 + 7*s - 6. Let b be t(-7). Let q be -4 + (-3 + 3 - b). Suppose 25*x + 20*x**2 - 2 - 1 + q + 6 = 0. Calculate x.
-1, -1/4
Let h(d) be the first derivative of -9/2*d**2 + 81*d + 1/12*d**3 - 43. Factor h(k).
(k - 18)**2/4
Let z = 251 + -248. Suppose -95*a + 6*a - 180 - 50*a**2 + 22*a**3 - 27*a**z - 76*a = 0. What is a?
-4, -3
Let b(y) be the second derivative of -3/20*y**5 + 0 - 1/4*y**4 + 0*y**2 + 55*y + y**3. Determine v so that b(v) = 0.
-2, 0, 1
Let b be (-1*1)/(29 + (-4088)/140). Let h(z) be the third derivative of -7/48*z**4 + 1/24*z**b + 0*z + 8*z**2 - 1/240*z**6 + 0 + 1/4*z**3. Solve h(g) = 0.
1, 3
Let f(d) = d**3 + 6*d**2 + 7*d. Let j be f(-4). Factor -22*s - 77*s + 51*s - j*s**4 + 20*s**3 + 32*s**2.
-4*s*(s - 6)*(s - 1)*(s + 2)
Let y(q) be the first derivative of 15 - 2/5*q**2 - 1/20*q**4 - 21/25*q**5 + 16/15*q**3 + 0*q. Find t such that y(t) = 0.
-1, 0, 2/7, 2/3
Let z(m) be the second derivative of -m**4/48 - 129*m**3/4 - 717*m. Let z(b) = 0. What is b?
-774, 0
Let -2304/13*o + 2/13*o**2 + 663552/13 = 0. Calculate o.
576
Let h(c) be the third derivative of c**8/2184 + c**7/273 + c**6/195 - 2*c**2 - 278. Factor h(j).
2*j**3*(j + 1)*(j + 4)/13
Suppose -7*o = -13*o + 18. Suppose 180*b**2 - 686*b**o + 6*b**2 + 23*b**2 + 2 + 85*b**2 - 42*b = 0. Calculate b.
1/7
Suppose -4*q - 3 = -11. Let u = -927349/5 + 185509. Solve -4/5*d**q - u + 56/5*d = 0.
7
Solve -5*k**5 + 150*k + 70*k**2 + 37*k**2 + 511*k**4 + 82*k**2 - 666*k**4 - 145*k**3 - 34*k**2 = 0.
-30, -1, 0, 1
Let g be (-435)/1305*4/(-6). Factor 2/9*a - g*a**2 + 4/3.
-2*(a - 3)*(a + 2)/9
Let q(b) be the first derivative of b**6/24 - 83*b**5/10 - 21*b**4 + 7291