be (-3)/(-30)*-158 + 2/(-10). Let u = g - -83/5. Factor 1/5*v**3 - 2/5 + 0*v**2 - u*v.
(v - 2)*(v + 1)**2/5
Let r = 183163/72 - 2544. Let q = r - -323/504. Let 0*t**2 - 2/7*t**4 + 2/7 + 4/7*t**3 - q*t = 0. Calculate t.
-1, 1
Let y(n) be the third derivative of -14*n**2 + 0*n - 1/20*n**5 - 9/8*n**4 + 0 + 0*n**3. Factor y(o).
-3*o*(o + 9)
Let s = -89 - -91. Factor -8*d**2 - 14*d**s + 3 + 36*d**2 - 15*d**2 - 2*d.
-(d - 1)*(d + 3)
Let c(i) be the third derivative of 0 + 4*i**2 - 1/1512*i**8 + 1/540*i**6 - 11/270*i**5 - 4/27*i**3 + 1/9*i**4 + 1/315*i**7 + 0*i. Solve c(r) = 0 for r.
-2, 1, 2
Let f(z) be the third derivative of z**8/25200 + z**7/1400 + z**6/450 - z**5/20 + 3*z**2. Let k(t) be the third derivative of f(t). Factor k(h).
2*(h + 4)*(2*h + 1)/5
Let n = -18 - 6. Let m = 34 + n. Find s such that m + 15*s - 2*s**2 + 3*s**2 + 2*s**2 + 2*s**2 = 0.
-2, -1
Let m be 56 + 0/3 - -3. Let x = 119/2 - m. Factor 0 + 0*n - 1/2*n**4 - x*n**2 + n**3.
-n**2*(n - 1)**2/2
Factor -856*a**3 + 61*a**4 - 18*a**2 + 60*a + 2*a**5 + 797*a**3 - 15*a**2 - 28*a**2 - 3*a**5.
-a*(a - 60)*(a - 1)**2*(a + 1)
Factor 56/9*z**2 - 52/3 + 2/9*z**3 + 98/9*z.
2*(z - 1)*(z + 3)*(z + 26)/9
Let s(q) be the third derivative of -q**8/2184 - 11*q**7/1365 - 7*q**6/130 - 9*q**5/65 + 9*q**4/52 + 27*q**3/13 - 2*q**2 + 198. Factor s(t).
-2*(t - 1)*(t + 3)**4/13
Let h(r) be the second derivative of 6/5*r**2 + 22*r + 0 + 0*r**3 - 1/20*r**4. Suppose h(z) = 0. Calculate z.
-2, 2
Factor -3*f**2 + 25 - 5*f**3 - 17*f**2 + 45*f + 35*f**2.
-5*(f - 5)*(f + 1)**2
Let t(x) = 4*x**2 - 8*x + 6. Let a = 10 - 8. Suppose 27 = a*o + o. Let l(f) = -15*f**2 + 31*f - 25. Let k(m) = o*t(m) + 2*l(m). Factor k(s).
2*(s - 1)*(3*s - 2)
Let u = -155/2 + 313/4. Let h(n) = 2*n**2 + 49*n + 74. Let r be h(-23). Determine j so that -1/2*j + 0 + 1/4*j**3 + 1/4*j**r + u*j**4 - 3/4*j**2 = 0.
-2, -1, 0, 1
Let p(o) be the second derivative of 1/55*o**6 - 1/11*o**3 + 25*o + 0 - 1/11*o**2 - 1/33*o**4 + 1/55*o**5 + 1/231*o**7. Factor p(t).
2*(t - 1)*(t + 1)**4/11
Let t be -4 + 1/((-4)/20). Let r be (t/12 - (-104)/(-96)) + 2. Factor r*n**2 + 0 + 1/6*n.
n*(n + 1)/6
Let b(x) = -22*x**2 - 32*x - 4. Let u(a) = -20*a**2 - 32*a - 4. Let q(p) = 4*b(p) - 3*u(p). Solve q(y) = 0 for y.
-1, -1/7
Let p(f) be the second derivative of -f**5/70 - 11*f**4/14 - 40*f**3/7 - 116*f**2/7 + 2*f - 121. Solve p(q) = 0.
-29, -2
Let o(p) be the first derivative of 2*p**6/9 + 12*p**5/5 + 9*p**4 + 12*p**3 - 261. Determine n, given that o(n) = 0.
-3, 0
Let p = -2803 + 8413/3. Let p + o - 1/3*o**2 = 0. Calculate o.
-1, 4
Factor 2/9*b**2 - 4/9 - 2/9*b.
2*(b - 2)*(b + 1)/9
Let l(i) be the second derivative of -2*i**6/15 - i**5 - 2*i**4/3 + 16*i**3/3 + 137*i. Suppose l(j) = 0. Calculate j.
-4, -2, 0, 1
Factor -10/9*l**2 + 0 + 2/9*l**3 + 8/9*l.
2*l*(l - 4)*(l - 1)/9
Let h(b) = -2*b - 1. Let w be h(-6). Let i = 19 - w. Let i*c**3 + c**5 - 8*c**3 = 0. Calculate c.
0
Let w(j) be the third derivative of j**5/12 + 25*j**4/3 + 65*j**3/2 + 220*j**2. Determine f so that w(f) = 0.
-39, -1
Let p(g) be the first derivative of -g**5/10 - g**4/4 + g**3/6 + g**2/2 - 52. Factor p(x).
-x*(x - 1)*(x + 1)*(x + 2)/2
Let z(j) be the first derivative of j**5/20 + j**4/8 - j**3 - 5*j**2 - 8*j - 80. Factor z(d).
(d - 4)*(d + 2)**3/4
Determine w, given that -2*w**2 + 160 - w**2 + 5*w**2 - 6*w**2 + 156*w = 0.
-1, 40
Let d(p) be the second derivative of p**6/105 - 26*p**5/35 + 338*p**4/21 - 63*p. Factor d(w).
2*w**2*(w - 26)**2/7
Let p = 68 + -60. Suppose 4*d = 6*d - p. Find f such that 0 + 10/9*f**3 + 2*f**2 - 14/9*f**5 - 2*f**d + 4/9*f = 0.
-1, -2/7, 0, 1
Let y(h) be the third derivative of -h**5/15 + 5*h**4/6 + 100*h**3/3 - 323*h**2. Factor y(k).
-4*(k - 10)*(k + 5)
Let d(u) be the second derivative of u**8/17920 - u**6/640 - u**5/160 + u**4/3 + 9*u. Let m(v) be the third derivative of d(v). Factor m(r).
3*(r - 2)*(r + 1)**2/8
Let v(n) be the second derivative of n**7/210 + n**6/180 - 2*n**5/15 - n**4/3 - 8*n**3/3 - 6*n. Let h(p) be the second derivative of v(p). Factor h(x).
2*(x - 2)*(x + 2)*(2*x + 1)
Let d(v) be the third derivative of v**7/735 + 9*v**6/280 - 4*v**5/105 - 9*v**4/56 + v**3/3 + 278*v**2. Solve d(f) = 0.
-14, -1, 1/2, 1
Solve 0 + 6/5*n**4 + 0*n - 33/5*n**3 + 3/5*n**5 - 36/5*n**2 = 0.
-4, -1, 0, 3
Let t(f) be the second derivative of -15/4*f**4 - 55/2*f**2 + 0 + 40*f + 35/2*f**3 - 1/4*f**5. Factor t(x).
-5*(x - 1)**2*(x + 11)
Let m(g) = 2*g**3 - 7*g**2 - 2*g. Let r be m(4). Suppose 6*v - r = 4*v. What is c in -6/13*c + 6/13*c**3 - 4/13 + 2/13*c**v + 2/13*c**2 = 0?
-2, -1, 1
Let m(y) be the first derivative of 243/7*y**2 + 1458/7*y - 18 + 1/14*y**4 + 18/7*y**3. Find g, given that m(g) = 0.
-9
Let k = 153 - 104. Suppose 7*m - k = -14. Factor -q**2 + q**2 - 17*q + m*q + 3*q**2.
3*q*(q - 4)
Let i(b) be the first derivative of -b**5/20 - b**4/8 - 11*b**2/2 + 8. Let v(o) be the second derivative of i(o). Find n, given that v(n) = 0.
-1, 0
Suppose 7 = 5*h - 8. Let v(n) = -n**3 - 4. Let w be v(-2). What is m in 3*m - 1 + w - h - 3*m**3 = 0?
-1, 0, 1
Let o(b) be the first derivative of 8*b**5 - 10 + 128*b + 160*b**2 + 320/3*b**3 + 40*b**4 + 2/3*b**6. Suppose o(m) = 0. Calculate m.
-2
Let x(z) = z**3 - 7*z**2 - 8*z + 11. Let l be x(8). Suppose l*h - 2 = 10*h. Factor -8*j**3 + 2 - 8*j + h*j**2 + 2*j**2 + 6*j**2 + 2*j**4 + 2*j**2.
2*(j - 1)**4
Let m(j) be the second derivative of -j**6/120 - j**5/30 + j**4/24 + j**3/3 - 17*j**2/2 + 16*j. Let u(d) be the first derivative of m(d). Factor u(n).
-(n - 1)*(n + 1)*(n + 2)
Let t = 1016 - 5066/5. Let j be (-6)/(-8) + (-5)/(-4). Find v, given that -6/5*v**j + 12/5 - t*v = 0.
-3, 2/3
Factor -124*g**2 - 134*g**2 + 10*g + 260*g**2 - 12.
2*(g - 1)*(g + 6)
Determine t so that 1/2*t**2 - 9*t + 17/2 = 0.
1, 17
Suppose 9 = 12*z - 9*z. Factor -15*a + 0 - z*a**3 + 12*a**2 + 2 + 4.
-3*(a - 2)*(a - 1)**2
Let u(s) be the first derivative of -s**6/6 - 8*s**5/5 + 5*s**4 + 108. Factor u(t).
-t**3*(t - 2)*(t + 10)
Let y = 21 + -36. Let q = -13 - y. Factor -7*k**4 + 3*k**4 - 6*k**2 + 2*k + 10*k**2 - q*k**5.
-2*k*(k - 1)*(k + 1)**3
Find i such that 2478*i - 581*i + 5015*i - 288*i**2 - 2*i**3 + 6*i**3 - 55296 = 0.
24
Factor 0 + 3*i + 1/2*i**2.
i*(i + 6)/2
Let a(x) = x - 12. Let u be a(13). Let q be 60/750*(u - -9). Suppose 2/5*t**2 - 2/5*t - q = 0. What is t?
-1, 2
Let d be ((-24)/(-32))/((-60)/(-16)). Determine i so that 0*i + 0*i**3 - 1/5 + 2/5*i**2 - d*i**4 = 0.
-1, 1
Let a(z) be the first derivative of -z**7/168 + z**6/120 + z**5/40 - 20*z - 19. Let q(o) be the first derivative of a(o). Suppose q(p) = 0. Calculate p.
-1, 0, 2
Let o(k) be the second derivative of -k**7/49 - k**6/70 + 9*k**5/140 + k**4/28 - k**3/14 + k - 22. Solve o(x) = 0 for x.
-1, 0, 1/2, 1
Let b be 576/5796 + (-1)/(-23). Find q such that 0 + 1/7*q**3 + b*q**2 - 1/7*q**4 + 0*q - 1/7*q**5 = 0.
-1, 0, 1
Let t be (10/3)/(-2)*-3. Suppose 0 = t*s - 5 - 5. Determine n so that 185*n**2 - 2 - 183*n**s + 5 - 1 + 4*n = 0.
-1
Let d(k) be the second derivative of k**5/5 - 2*k**3/3 + k + 86. Factor d(o).
4*o*(o - 1)*(o + 1)
Let y(n) = -65*n - 65. Let z be y(-1). Let w(g) be the second derivative of -1/20*g**5 + 0*g**3 + 1/30*g**6 + 0*g**4 + z*g**2 + 0 - 9*g. Solve w(d) = 0.
0, 1
Let -120*x**3 - 144*x + 122*x**5 + 13*x**4 + 11*x**4 - 61*x**5 + 224*x**2 - 62*x**5 = 0. Calculate x.
0, 2, 18
Factor 2/15*u**2 + 0 - 2/15*u**3 - 2/15*u**4 + 2/15*u**5 + 0*u.
2*u**2*(u - 1)**2*(u + 1)/15
Let -2025 + 2007 + 6*d + d**2 - 25*d**2 - 45*d - 3*d**3 = 0. Calculate d.
-6, -1
Let m(c) = -c - 6. Let a be m(-9). Suppose -3*f - 3*g = -f - 25, -2*f + a*g = 5. Factor -24*r**4 - 3*r**f + r**2 - 2*r**2 - 13*r**5 - 9*r**3.
-r**2*(r + 1)*(4*r + 1)**2
Let x(h) = h**2 - 5*h - 9. Let m be x(7). Let n(y) = 8*y**2 - 3*y - 5. Let a be n(-1). Factor 36*s - 3*s**2 - 1 - 33*s**3 - 3*s**m + 19 + a - 3*s**2 - 18*s**4.
-3*(s - 1)*(s + 1)*(s + 2)**3
Suppose -u + n + 16 = 0, 0 = -5*n + 21 - 1. Factor u*w**5 + 40*w**4 - 2*w**2 - 51*w**3 + 76*w**3 + 7*w**2.
5*w**2*(w + 1)*(2*w + 1)**2
Let z(o) be the third derivative of -o**6/80 + 9*o**5/40 - 9*o**4/8 + 448*o**2. Factor z(q).
-3*q*(q - 6)*(q - 3)/2
Suppose 5*k - 7*k + 28 = 0. Suppose 0 = -b - 4*f - k, -b + 2*b - f = 6. Suppose 4/3*p**4 + 0*p + 2/3*p**b + 5/3*p**3 + 0 + 1/3*p**5 = 0. What 