Factor x(b).
-2*(b + 1)**2*(3*b - 2)/13
Let o = 198 + -196. Let c(p) be the second derivative of -1/5*p**5 + 1/10*p**6 + 0*p**o + 0 - 1/3*p**4 + 5*p + 0*p**3. Factor c(y).
y**2*(y - 2)*(3*y + 2)
Let s = -2 + 4. Factor -31*b**2 + 2 - 2 + 30*b**s + b.
-b*(b - 1)
Let o(w) = -2*w**4 - 9*w**3 - 41*w**2 + 51*w - 24. Let l(q) = -3*q**4 - 11*q**3 - 62*q**2 + 77*q - 36. Let g(b) = -5*l(b) + 7*o(b). Factor g(z).
(z - 3)*(z - 2)**2*(z - 1)
Let i(t) be the first derivative of -1/30*t**4 + 4/15*t**3 - 3 - 4/5*t**2 - t. Let o(z) be the first derivative of i(z). Let o(u) = 0. What is u?
2
Let p be 14/10 - 6*(-8)/80. Let i(b) be the first derivative of -1/12*b**4 - p - 1/2*b**2 - 1/3*b**3 - 1/3*b. Solve i(u) = 0.
-1
Let f = -11 - -41. Let c = -30 + f. Factor 2/3*z**5 + 0*z**3 + c + 0*z**2 - 1/3*z**4 + 0*z.
z**4*(2*z - 1)/3
Find u such that -48/5 - 2/5*u**3 + 26/5*u**2 - 4*u = 0.
-1, 2, 12
Let r be (37 - 33)/(-3 + 54/6). Suppose 2/3*f**3 - 4/3*f**4 + r*f**5 + 0*f + 0 + 0*f**2 = 0. What is f?
0, 1
Let w be (-16)/(-77) + 104/286. Determine o so that 12/7*o**5 + 6/7*o**3 - w - 22/7*o**2 + 26/7*o**4 - 18/7*o = 0.
-1, -2/3, -1/2, 1
Suppose 40*o - 390 = -230. Find d, given that 0 - 4/9*d**5 + 16/9*d**2 - 11/9*d**o - 4/9*d + 1/3*d**3 = 0.
-2, 0, 1/4, 1
Let w(q) = 7*q + 2. Let t(m) = -14*m - 5. Let n(d) = -4*t(d) - 9*w(d). Let p(o) = o**2 + 22*o - 6. Let v(c) = 14*n(c) + 4*p(c). Solve v(a) = 0.
1/2, 2
Factor -126*x + 630*x - 2810 + 3*x**2 + 13952 + 10026.
3*(x + 84)**2
Let l(g) be the second derivative of 5*g**7/42 + g**6/2 - g**5/4 - 5*g**4/4 - 291*g. Solve l(h) = 0.
-3, -1, 0, 1
Let p(g) be the third derivative of -g**9/756 + g**7/70 + g**6/45 - 11*g**3/6 + 9*g**2. Let r(l) be the first derivative of p(l). Let r(u) = 0. Calculate u.
-1, 0, 2
Let n(d) be the third derivative of -6*d**7/7 - 71*d**6/24 - 17*d**5/6 + 5*d**4/24 - 89*d**2. Factor n(r).
-5*r*(r + 1)**2*(36*r - 1)
Let p(u) be the second derivative of -u**7/252 + u**6/20 + 13*u**5/120 - 137*u**4/72 - 28*u**3/3 - 49*u**2/3 - 5*u - 6. Determine t, given that p(t) = 0.
-2, -1, 7
Determine s, given that 9*s - s**4 + 18 + 4*s**5 - 3*s**5 + 15*s**4 + 15*s**3 - 12*s**4 - 20*s**2 - 25*s**3 = 0.
-3, -2, -1, 1, 3
Let u(f) = 4*f**5 + 8*f**4 + 14*f**3 + 10*f**2 - 5. Let c(m) = -5*m**5 - 9*m**4 - 15*m**3 - 11*m**2 + 6. Let p(o) = -5*c(o) - 6*u(o). Factor p(n).
n**2*(n - 5)*(n + 1)**2
Let p(r) be the second derivative of -r**7/147 - 2*r**6/21 - 8*r**5/35 - 488*r. Factor p(n).
-2*n**3*(n + 2)*(n + 8)/7
Let n be 56/12 - (-2)/(-3). Suppose u + 2*u = 3, -h - 4*u = -n. Let -2*q - 31*q**2 + q**3 + 30*q**2 + h*q = 0. Calculate q.
-1, 0, 2
Suppose -5*x = 4*q - 0*q + 25, 5*q + 5*x + 25 = 0. Let p be (q/(-2 + -1 + 4))/(-2). Factor p + 22/3*g**2 - 2/3*g - 24*g**3 + 32/3*g**4 + 128/3*g**5.
2*g*(g + 1)*(4*g - 1)**3/3
Let y(u) be the first derivative of 2*u**3/15 - 6*u**2 + 162*u/5 - 687. Find t, given that y(t) = 0.
3, 27
Let f be (-4428)/(-861) - ((-136)/28 + 4). Factor 0 - f*i**2 + 2/3*i**3 + 0*i.
2*i**2*(i - 9)/3
Let n(d) be the third derivative of -5*d**7/42 - 19*d**6/24 - 19*d**5/10 - 13*d**4/6 - 4*d**3/3 - d**2 + 9. Factor n(a).
-(a + 1)*(a + 2)*(5*a + 2)**2
Suppose -5*y - 8 = -h - 3*h, 2*h - 5*y = 4. Factor -138*i**2 + 2*i**3 + i**5 + i**4 - 7*i**3 + 2*i**3 - h*i + 133*i**2.
i*(i - 2)*(i + 1)**3
Let p(g) = -10*g - 155. Let n be p(-16). Let q(i) be the second derivative of 1/16*i**4 + n*i - 1/8*i**3 + 0 + 0*i**2. Factor q(x).
3*x*(x - 1)/4
Let j be (2 - (-1116)/(-160)) + 0 + 5. Let v(n) be the third derivative of -j*n**6 + 1/2*n**4 + 0*n + 0 + 1/10*n**5 + 6*n**2 - 4*n**3. Factor v(r).
-3*(r - 2)**2*(r + 2)
Let a = -42569/90 - -473. Let d(m) be the third derivative of 0*m - 8*m**2 + 1/9*m**4 + 0 - a*m**5 - 4/9*m**3. Factor d(n).
-2*(n - 2)**2/3
Suppose 33*m = 28*m + 255. Suppose 36*j**3 - m*j**3 - 5*j**2 + 8*j + 2*j = 0. What is j?
-1, 0, 2/3
Factor -d + 5/2*d**2 - 2*d**3 + 0 + 1/2*d**4.
d*(d - 2)*(d - 1)**2/2
Find p such that -1196*p**2 - 14*p**4 + 226 - 270*p**3 + 1800*p - 720*p + 174 = 0.
-10, -2/7, 1
Let c(u) be the first derivative of u**8/84 - 2*u**7/105 - u**6/10 + u**5/15 + u**4/3 + 8*u**2 + 1. Let r(p) be the second derivative of c(p). Factor r(z).
4*z*(z - 2)*(z - 1)*(z + 1)**2
Let y(o) = -6*o**3 - 12*o**2 + 6*o + 2. Let b(r) = -7*r**3 - 3*r**3 - 4*r**2 + 2*r + 1 + 8*r**3. Let f(c) = 10*b(c) - 3*y(c). Solve f(l) = 0.
-2, -1, 1
Let -34/3*d**3 + 204*d + 108 + 253/3*d**2 + 1/3*d**4 = 0. What is d?
-1, 18
Let q be (-13)/2*(-132)/429. What is m in 0 - 2*m**q + 0*m + 2*m**3 - 1/2*m**4 = 0?
0, 2
Let o = -7502 - -7506. Determine j so that 14/5*j + 2/5*j**2 + o = 0.
-5, -2
Determine s so that 224*s + 37*s**3 - 228*s**2 - 53 - 11 + 43*s**3 - 4*s**3 - 8*s**4 = 0.
1/2, 1, 4
Let k(g) = -g + 1. Let t(h) = -7*h + 6. Let n(c) = 6*k(c) - t(c). Let l be n(2). Determine z, given that -18/5*z**l + 2/5*z**3 + 54/5*z - 54/5 = 0.
3
Let a be (-5600)/72 - 10/45. Let x = a + 313/4. Let x*i**2 - 1/2 - 1/4*i = 0. Calculate i.
-1, 2
Let q be (-18)/(-8) + (-41)/164. Factor 1/3*h**q - 1/3*h**3 + 0 + 0*h.
-h**2*(h - 1)/3
Determine y so that -34/11*y**2 - 6/11 + 8/11*y**3 + 32/11*y = 0.
1/4, 1, 3
Let o(z) be the first derivative of 3*z**5/10 + 3*z**4 + 5*z**3/2 - 75*z**2/2 + 645. Factor o(i).
3*i*(i - 2)*(i + 5)**2/2
Let n(m) be the third derivative of -m**7/42 - 71*m**6/24 - 1295*m**5/12 - 6125*m**4/24 + 4*m**2 - 6. Let n(d) = 0. Calculate d.
-35, -1, 0
Let r = -345 + 345. Let g(k) be the first derivative of -1 + r*k**2 + 0*k**3 + 1/4*k**4 - 1/5*k**5 + 0*k. Let g(j) = 0. Calculate j.
0, 1
Suppose p = 0, f - 1 = -2*p - 3. Let h = 1 - f. Factor z**2 + z**5 - 4*z**4 - 3*z**3 + 2*z + 0*z**4 + h*z**4.
z*(z - 2)*(z - 1)*(z + 1)**2
Let a(n) = n**2 - 1. Let r(q) = 10*q**3 - 26*q**2 - 16*q - 10. Let b(s) = 20*a(s) - 2*r(s). Suppose b(d) = 0. What is d?
-2/5, 0, 4
Let z(t) be the first derivative of 3*t**4/16 - 25*t**3/4 + 429*t**2/8 + 507*t/4 - 76. Factor z(m).
3*(m - 13)**2*(m + 1)/4
Let r(q) be the third derivative of -q**8/252 + 4*q**7/21 - 6*q**6/5 + 104*q**5/45 - 180*q**2 + 2*q. What is j in r(j) = 0?
0, 2, 26
Factor 48 + 1089*v + 893*v**4 + 159*v + 7800*v**3 + 8712*v**2 + 982*v**4.
3*(v + 2)**2*(25*v + 2)**2
Let g(h) be the third derivative of -h**8/1176 - h**7/147 + 3*h**6/70 + 29*h**5/105 - 145*h**4/84 + 25*h**3/7 - 9*h**2 - 13. Suppose g(s) = 0. What is s?
-5, 1, 3
Let v(t) = -t**3 - t**2 + t - 2. Let h(x) = 6*x**3 + 21*x**2 + 8*x + 14. Let b(d) = -3*h(d) - 21*v(d). Factor b(q).
3*q*(q - 15)*(q + 1)
Let o = 326/9 - 36. Let z = -1/822 + 1099/2466. Solve 2/9 - o*l - z*l**2 = 0.
-1, 1/2
Let a = 187/630 - 1/90. Let d = 3716/119 - 526/17. Solve -a*y**2 + 4/7 - d*y = 0.
-2, 1
Let b(r) be the third derivative of -r**6/285 + 11*r**5/114 - 91*r**4/114 - 49*r**3/57 - 82*r**2. Factor b(o).
-2*(o - 7)**2*(4*o + 1)/19
Suppose -648*f - 12 = -651*f. Let j(a) be the second derivative of 0 + 1/6*a**f + 0*a**5 - 1/15*a**6 + 0*a**2 + 0*a**3 - 3*a. Determine n, given that j(n) = 0.
-1, 0, 1
Let j(f) = f**2 - 2*f - 1. Let h(z) = -7*z - 3 + 3*z**2 + 12*z - 12*z. Let v(c) = 2*h(c) - 7*j(c). Let v(p) = 0. What is p?
-1, 1
Suppose -3*n = 3*c + 57, 3*n + 58 = -n + 2*c. Let f be -1 + -4*12/n. Find b such that 2*b + 3*b**3 + b**4 - 8*b**4 + 13*b**3 - 11*b**f = 0.
0, 2/7, 1
Let n(g) be the third derivative of 10*g**2 + 1/30*g**7 - 19/120*g**6 + 2/15*g**5 + 0*g + 0*g**3 + 1/6*g**4 + 0. Find b such that n(b) = 0.
-2/7, 0, 1, 2
Let x = -944 + 3017/3. Let f = x + -61. Let f*i**4 + 0*i**2 - 4/3*i + 4/3*i**3 - 2/3 = 0. Calculate i.
-1, 1
Let f(j) be the third derivative of j**6/60 - j**5/60 - j**4/12 + j**3/3 + 7*j**2. Let b be f(1). Factor -l**3 - b - 8*l - 3 + 6*l**3 + 4*l**4 + 3*l**3.
4*(l - 1)*(l + 1)**3
Factor 2888/5*x + 152/5*x**2 + 2/5*x**3 + 0.
2*x*(x + 38)**2/5
Suppose 4*g - 4*t = 36, 4*g - 5 = -3*t - 4. Let h(o) be the second derivative of 1/2*o**3 + o - 3/20*o**5 + 0 - 1/4*o**g + 3/2*o**2. Factor h(f).
-3*(f - 1)*(f + 1)**2
Let q(b) be the second derivative of 3*b**6/40 + 93*b**5/80 + 119*b**4/24 + 17*b**3/2 + 7*b**2 + 10*b. Factor q(f).
(f + 2)*(f + 7)*(3*f + 2)**2/4
Let y be (-4 - 56/(-12))*-15. Let w be (4/y + 143/195)*9. What is f in 3/2*f**w + 13/4*f**2 + 3*f + 1/4*f**4 + 1 = 0?
-2, -1
Factor -4/7*g**4 - 4*g**3 - 32/7*g + 0 - 8*g**2.
-4*g*(g + 1)*(g + 2)*(g + 4)/7
