q**5 - 252/5*q**3 + 72/5 + 69/5*q**4 - 141/5*q**2 + 222/5*q = 0.
-4, -1, -3/10, 1, 2
Let c(w) = -7 + 8*w**2 - 13*w - 3*w**3 + 3 + 0. Let q(t) = -t**3 + t**2 - 2*t - 1. Let x(h) = -3*c(h) + 12*q(h). Factor x(s).
-3*s*(s - 1)*(s + 5)
Let y(j) be the first derivative of j**4/14 - 80*j**3/21 - 12*j**2 + 870. Factor y(o).
2*o*(o - 42)*(o + 2)/7
Suppose -2*k + 0*k - 56 = -10*k. Let i(n) be the third derivative of 0 - 1/120*n**5 + 1/120*n**6 + 0*n - 1/24*n**4 + 1/420*n**k - 18*n**2 + 0*n**3. Factor i(w).
w*(w - 1)*(w + 1)*(w + 2)/2
Let a(s) be the third derivative of -1/24*s**6 + 55/12*s**4 + 0*s + 19/12*s**5 - 100/3*s**3 + 0 + 136*s**2. Factor a(n).
-5*(n - 20)*(n - 1)*(n + 2)
Let a be (-4)/(-3)*23/230. Let f(h) be the first derivative of 0*h - 1/6*h**4 - 2/27*h**3 - 1/27*h**6 + 0*h**2 - a*h**5 - 13. Factor f(k).
-2*k**2*(k + 1)**3/9
Let m be 1/(2/94) + 7 + -7. Determine o, given that -12 + m*o + 11*o - 6*o + 4 - 24*o**2 = 0.
1/6, 2
Let w(l) be the third derivative of -5/72*l**4 - 16*l + 2/9*l**3 + 0 + l**2 + 1/180*l**5. Factor w(g).
(g - 4)*(g - 1)/3
Suppose 50 = -9*p + 320. Let x be 109/6 + (-5)/p. Factor -64*u**2 - 9*u**4 - 56*u**3 - 15*u**4 - 36*u + 10 - 4*u**5 - x.
-4*(u + 1)**4*(u + 2)
Let p(o) be the first derivative of o**4/10 + 602*o**3/15 + 896*o**2/5 + 1192*o/5 - 1619. Let p(k) = 0. Calculate k.
-298, -2, -1
Let s(y) be the first derivative of -y**4/18 - 1114*y**3/27 - 1105*y**2/3 - 1102*y - 7152. Suppose s(k) = 0. Calculate k.
-551, -3
Solve 1/7*d**5 - 33/7*d**3 + 0 + 18/7*d**2 + 216/7*d - 2/7*d**4 = 0.
-4, -3, 0, 3, 6
Suppose -2*h - 16 = -6*h - 4*i, -3*h + i = 0. Let j(s) = s**4 - 4*s**3 - 2*s**2 + 11*s - 7. Let v(a) = -a**3 - a + 1. Let o(x) = h*v(x) - j(x). Factor o(m).
-(m - 2)**2*(m - 1)*(m + 2)
Suppose 38 = 3*w - 58. Let t(i) = i**2 - 2*i + 1. Let o be t(-3). Let 3*x**2 + x**2 - o*x - w - 6*x**2 = 0. Calculate x.
-4
Let r(g) = -g**3 + 6*g**2 - 14*g + 27. Let s be r(4). Suppose 3*h - 12 = -2*b, 4 = b - h + s. Factor -1/2*y**b - 1/4 + 1/2*y + 0*y**2 + 1/4*y**4.
(y - 1)**3*(y + 1)/4
Let g(a) be the first derivative of -a**3 + 396*a**2 - 52272*a - 288. Factor g(o).
-3*(o - 132)**2
Let h = -1390 + 1441. Suppose -h*y - y = -7*y. Let 4/3*f**3 - 4*f**2 + y + 4*f**4 - 8/3*f + 4/3*f**5 = 0. Calculate f.
-2, -1, 0, 1
Suppose 50*n - 55*n + 60 = 0. Factor -24*r - n*r - 28 - 2*r + 4 - 10*r**2.
-2*(r + 3)*(5*r + 4)
Let a(r) be the first derivative of 1/3*r**2 - 1/6*r**4 - 1/3*r**3 + 1/5*r**5 + 0*r + 168. Factor a(i).
i*(i - 1)*(i + 1)*(3*i - 2)/3
Let c(b) be the second derivative of 0 - 1/3*b**4 + 6*b**2 - 4/3*b**3 + 25*b. Suppose c(a) = 0. Calculate a.
-3, 1
Let z(t) be the first derivative of -14/3*t**3 + 128 - 4*t**4 + 0*t - 2*t**2 - 6/5*t**5. Find a, given that z(a) = 0.
-1, -2/3, 0
Let p(z) = -z**4 - 29*z**3 - 16*z**2 - 4. Let y(i) = -9*i - 14. Let g be y(-2). Let s(o) = -30*o**3 - 15*o**2 - 5. Let n(r) = g*s(r) - 5*p(r). Factor n(q).
5*q**2*(q + 1)*(q + 4)
Suppose 5*q - 87 = -47. Let i be (-1 - 4) + q + -1. Solve 13*k**3 - 45*k**4 + 43*k**4 - 12*k**3 + 2*k**i - k**5 = 0.
-2, -1, 0, 1
Factor 408/5 - 2/5*n**3 + 58/5*n**2 + 328/5*n.
-2*(n - 34)*(n + 2)*(n + 3)/5
Let d(p) = -9*p + 75. Let j be d(9). Let a = -3 - j. Factor 2/9*m - 2/9*m**5 + 4/9*m**2 + 0*m**a + 0 - 4/9*m**4.
-2*m*(m - 1)*(m + 1)**3/9
Let x(n) = -n**2 - 38*n + 74. Let d be x(-24). Suppose -6*o + 422 - d = 0. Find s, given that -16/3*s - 4/3*s**5 + 0 - 16*s**o - 8*s**4 - 52/3*s**3 = 0.
-2, -1, 0
Let -26/3*m**2 - 25/3 - 101/6*m - 1/6*m**3 = 0. What is m?
-50, -1
Let u = -4693 - -37545/8. Determine s, given that 1/4*s**3 - u*s**4 - 3/8 + 1/2*s**2 - 1/4*s = 0.
-1, 1, 3
Factor 0 - 37/2*x**2 + 1/2*x**3 - 19*x.
x*(x - 38)*(x + 1)/2
Let q be 6/33 - (-200)/110. Let x be 2*q/12*(0 - 3). Let n(s) = s**2 + 9*s - 6. Let f(u) = -u**2 + u + 1. Let g(d) = x*n(d) + 4*f(d). Let g(c) = 0. What is c?
-2, 1
Let j(k) = k - 2. Let l be -2 + -2 + (-40)/(-4). Let p be j(l). Let -10*h**3 + 20*h**p + 22*h**4 - 68*h**4 + 21*h**4 + 5*h**2 + 10*h = 0. Calculate h.
-2, -1, 0, 1
Let g be 408/252 - (-10)/(-35). Let h(o) be the first derivative of -g*o**2 + 16 + 2*o + 2/9*o**3. Factor h(l).
2*(l - 3)*(l - 1)/3
Let h(y) = 28*y - 9*y**2 + 4*y**2 + 165 + 4*y**2. Let u be h(-5). Factor 0*q**2 + 0*q + 2/9*q**5 + u*q**3 + 0 + 2/9*q**4.
2*q**4*(q + 1)/9
Determine z, given that -57 + 325*z**2 + 80*z**3 + 68*z**4 + 75*z + 45*z**3 - 58*z**4 - 78 = 0.
-9, -3, -1, 1/2
Let g(a) be the third derivative of 0*a + 1/100*a**5 + 0*a**3 - 44*a**2 + 0 - 11/20*a**4. What is p in g(p) = 0?
0, 22
Let b = -4095072/11 + 372280. Factor -b - 2/11*j**4 - 30/11*j**2 - 26/11*j - 14/11*j**3.
-2*(j + 1)**3*(j + 4)/11
Let c(v) = -76*v**2 - 985*v + 39. Let b be c(-13). Let i(o) be the third derivative of 0*o**5 + 46*o**2 + 0*o**3 - 1/240*o**6 + 0 + 0*o + b*o**4. Factor i(d).
-d**3/2
Factor 40/9*q + 13/9*q**2 + 1/9*q**3 + 4.
(q + 2)**2*(q + 9)/9
Suppose -56*t - 75 = -19. Let q(b) = -b**2 - 4*b - 6. Let a(y) = -2 + 4 - 1. Let s(j) = t*q(j) - 2*a(j). Factor s(o).
(o + 2)**2
Let q(b) be the first derivative of 2*b**6/3 + 138*b**5/5 - 43*b**4/2 - 184*b**3 + 140*b**2 + 1549. Determine i so that q(i) = 0.
-35, -2, 0, 1/2, 2
Suppose -2*g - w = -14, -g + 14*w - 18*w + 21 = 0. Let j(h) be the third derivative of -1/80*h**g + 1/16*h**3 + 0*h + 0 + 1/64*h**4 - 36*h**2. Factor j(z).
-3*(z - 1)*(2*z + 1)/8
Let f(n) be the second derivative of 8/15*n**3 - 16/5*n**2 + 198*n - 1/30*n**4 + 0. Let f(r) = 0. Calculate r.
4
Factor 0 + 25*f**4 + 5*f**5 + 0 - 6356*f**3 + 12449*f**3 - 6258*f**3 + 135*f**2.
5*f**2*(f - 3)*(f - 1)*(f + 9)
Let a(c) be the third derivative of 0*c**3 - 1/15*c**5 + 0 - 6*c - 1/3*c**6 + 2/105*c**7 + 5/3*c**4 - 3*c**2. Determine x so that a(x) = 0.
-1, 0, 1, 10
Let d(v) be the second derivative of v**6/12 + 7*v**5/10 + v**4/3 - 23*v**2/2 + 2*v + 15. Let z(n) be the first derivative of d(n). Let z(p) = 0. Calculate p.
-4, -1/5, 0
Let h = 5 - 3. Suppose h*y + 5*r = -7, -4*y = -3*r - 2 - 23. Find o, given that 3*o**2 - 3 - y*o**2 + 4*o**2 = 0.
-1, 1
Let c(v) be the first derivative of -v**5/5 - v**4/4 + v**3/3 + v**2/2 - 142. Factor c(n).
-n*(n - 1)*(n + 1)**2
Let g(v) = -2*v**2 - 323*v - 108. Let a(b) = 4*b**2 + 968*b + 322. Let c(z) = -6*a(z) - 17*g(z). Factor c(d).
(d - 32)*(10*d + 3)
Determine x, given that -58/7*x + 24/7 - 5/7*x**2 = 0.
-12, 2/5
Let f = -179 - -190. Factor -20*y**2 + f*y**2 - y**3 - 2 + y + 11*y**2.
-(y - 2)*(y - 1)*(y + 1)
Let s(t) be the third derivative of -t**8/504 - 7*t**7/45 - 26*t**6/9 + 1012*t**5/45 - 52*t**4/9 - 2704*t**3/9 + 46*t**2 + 6*t. Let s(a) = 0. Calculate a.
-26, -1, 2
Factor 2400*k**2 + 722/3 + 1520*k.
2*(60*k + 19)**2/3
Suppose 0 = i - 5*d - 0*d - 9, -3*d = -i + 7. Suppose -4*a - i = -4*h, -h + 5*h = -5*a + 31. Solve 5*t**3 + 4*t - 2*t**3 + t**h + 2*t**3 + 8*t**2 + 0*t = 0.
-2, -1, 0
Factor -z + 737*z**2 - 736*z**2 + 13*z + 36.
(z + 6)**2
Suppose 9*i = 4*i + 15. Suppose 2*r - i = 1. Factor -10*z**3 + 0 + 22/3*z**4 - 4/3*z + 6*z**r - 2*z**5.
-2*z*(z - 1)**3*(3*z - 2)/3
Let h(d) be the first derivative of -1/28*d**4 - 59 + 2/21*d**3 - 2/7*d + 1/14*d**2. Solve h(b) = 0 for b.
-1, 1, 2
Suppose 0 = 49*j - 38*j - 44. Let k(w) be the first derivative of -17 - 3/26*w**j - 1/13*w**2 + 0*w + 2/65*w**5 + 2/13*w**3. Determine h, given that k(h) = 0.
0, 1
Suppose 288 + 3*j**2 - 361*j + 257*j + 170*j = 0. What is j?
-16, -6
Let y(l) be the first derivative of -l**4/66 + 15*l**3/11 + 112*l + 138. Let t(p) be the first derivative of y(p). Solve t(o) = 0 for o.
0, 45
Let g be (4 - (0 + 7 + -3))/(-2). Let o(z) be the third derivative of 0*z**4 - 1/90*z**5 + 0*z**3 + 0*z**6 + 0 + 1/1260*z**7 + g*z - 15*z**2. Solve o(a) = 0.
-2, 0, 2
Let l(i) be the third derivative of -i**7/105 - 13*i**6/60 - 19*i**5/10 - 33*i**4/4 - 18*i**3 - 174*i**2 - 1. Factor l(c).
-2*(c + 1)*(c + 3)**2*(c + 6)
Let w = 295155 - 295105. Suppose -w + 1/5*j**5 - 5*j + 88/5*j**3 + 16/5*j**4 + 34*j**2 = 0. What is j?
-5, -2, 1
Find j such that 0 + 27*j**2 + 0*j + 15/2*j**3 - 1/2*j**4 = 0.
-3, 0, 18
Let s(k) be the third derivative of k**7/6300 - 2*k**6/675 - k**5/900 + 2*k**4/45 + 25*k**3/6 + 63*k**2. Let z(o) be the first derivative of s(o). Factor z(h).
2*(h - 8)*(h - 1)*(h + 1)/15
Suppose 8*z - 265 = -201. Find p, given that 3*p**4 - p**4 - z*p + 0*p*