5*(j - 8)*(j - 1)*(j + 2)**2
Let z(g) = -3*g**4 + 20*g**3 + 202*g**2 + 540*g + 517. Let n(k) = 2*k**4 - 22*k**3 - 201*k**2 - 540*k - 516. Let y(j) = -4*n(j) - 3*z(j). Factor y(r).
(r + 3)**3*(r + 19)
Let k(s) = -s**2 + s - 12. Let g(j) = -6*j**2 + 8*j - 72. Let h(t) = 6*g(t) - 34*k(t). Let h(q) = 0. Calculate q.
3, 4
Let c = -572/7 - -575/7. Find j, given that 0 + c*j**4 - 3/7*j - 9/7*j**3 + 9/7*j**2 = 0.
0, 1
Let q(b) be the third derivative of -b**7/70 - 3*b**6/40 + 7*b**5/5 + b**2 - 99*b. Factor q(c).
-3*c**2*(c - 4)*(c + 7)
Let a = 5355 + -5353. Suppose 4/3*l**4 - 10/3*l**a + 1/3*l**5 - 4/3*l + 1/3*l**3 + 8/3 = 0. What is l?
-2, 1
Let y be 9/(-2)*(-154)/84 - 6. What is z in 4*z**3 - 2*z - 1 - 3/2*z**5 - 7/4*z**4 + y*z**2 = 0?
-2, -2/3, -1/2, 1
Let m(q) be the third derivative of -q**5/80 + 13*q**4/32 - 21*q**3/4 - 599*q**2. Factor m(p).
-3*(p - 7)*(p - 6)/4
Let u(q) = -q + 3. Let s(t) = t**2 - 20*t - 15. Let o(y) = -2*s(y) + 18*u(y). Suppose o(x) = 0. Calculate x.
-3, 14
Factor 4 - 2/7*x**2 - 26/7*x.
-2*(x - 1)*(x + 14)/7
Let u(k) be the first derivative of 0*k + 0*k**2 + 1/120*k**5 + 1/36*k**4 - 1/216*k**6 + 1/3*k**3 - 3. Let c(n) be the third derivative of u(n). Factor c(q).
-(q - 1)*(5*q + 2)/3
Let v(j) be the third derivative of j**6/90 - j**5/10 + 4*j**3/3 + j**2. Let i(t) be the first derivative of v(t). What is r in i(r) = 0?
0, 3
Let s be (-104)/(-40) + (-2)/(-5). Suppose 0 = -s*c + u + 2*u - 9, 2*c + 5*u = 15. Factor 2/13*q**4 + 0 + 0*q**2 + c*q + 0*q**3.
2*q**4/13
Factor -21*r - 1/5*r**2 - 104/5.
-(r + 1)*(r + 104)/5
Let n be -2*((-185)/30 - 48/(-8)). Factor 0*f**2 + 2/3 + n*f**3 - f.
(f - 1)**2*(f + 2)/3
Let q(t) be the second derivative of -t**7/11340 + t**6/648 - t**5/135 + 4*t**4/3 - 19*t. Let v(g) be the third derivative of q(g). Factor v(n).
-2*(n - 4)*(n - 1)/9
Factor -3*w - 15*w + 9*w**2 - 11*w**2 - 27 - w**2.
-3*(w + 3)**2
Let j(h) be the third derivative of -h**5/12 - 15*h**4/8 - 35*h**3/3 + h**2 - h. Find s such that j(s) = 0.
-7, -2
Suppose 4*g + 6*w - 3 = 7*w, 0 = -5*w + 25. Let m(u) be the first derivative of -u**3 - 6*u - 4 + 9/2*u**g. Factor m(l).
-3*(l - 2)*(l - 1)
Factor 13/10*a**2 + 3/10*a**4 + 0 + 3/5*a - 7/5*a**3.
a*(a - 3)*(a - 2)*(3*a + 1)/10
Let w(u) = -u**3 + 51*u**2 - 51*u + 52. Let x be w(50). Factor -2/15*j**x - 4/5 + 2/3*j.
-2*(j - 3)*(j - 2)/15
Suppose -18*t + 6*t**2 + 2*t**3 + 0 - 2/3*t**4 = 0. Calculate t.
-3, 0, 3
Solve -28*x**5 + 210 - 120*x**2 + 30 - 19*x**3 + 31*x**5 + 15*x**4 + 48*x - 5*x**3 = 0.
-5, -2, 2
Let t(k) be the second derivative of k**6/300 - k**5/10 + 5*k**4/4 - 25*k**3/3 + 11*k**2/2 + 6*k. Let y(l) be the first derivative of t(l). Factor y(w).
2*(w - 5)**3/5
Suppose 5*p = 3*c + 28, -4*c = 60*p - 58*p - 32. Find k, given that -3/4*k**2 - 1/4*k**c - 1/4*k + 0 - 3/4*k**3 = 0.
-1, 0
Let h(b) = -b**2 - b + 1. Let n(m) = m**3 - 4*m**2 - 7*m + 8. Let v(p) = 2*h(p) - n(p). Factor v(i).
-(i - 3)*(i - 1)*(i + 2)
Let v be 3*-1 - 3*(-5)/1. Suppose 8*g + v = 36. Factor -18/19*n**g - 4/19*n - 2/19*n**5 + 0 - 10/19*n**4 - 14/19*n**2.
-2*n*(n + 1)**3*(n + 2)/19
Let c(k) be the third derivative of -k**8/1680 + k**7/630 + k**6/180 - k**5/30 - k**4/12 - 33*k**2. Let i(p) be the second derivative of c(p). Factor i(n).
-4*(n - 1)**2*(n + 1)
Let k(g) = 14*g**4 + 14*g**3 - 120*g**2 + 329*g - 299. Let i(z) = 3*z**4 - z**3 + z**2 - 1. Let w(y) = -5*i(y) + k(y). Factor w(a).
-(a - 7)**2*(a - 3)*(a - 2)
Solve -126*t**2 + 129*t**2 - 69*t - 48*t + 114 = 0 for t.
1, 38
Let w = -95 + 97. Factor -60*h**2 - 68*h**w + 127*h**2 + 2*h.
-h*(h - 2)
Let c(l) be the second derivative of -l**5/40 - 11*l**4/24 + l**3/12 + 11*l**2/4 - 69*l. Let c(f) = 0. What is f?
-11, -1, 1
Let u(z) be the second derivative of z**4 + 33*z - 5/3*z**3 - 1/10*z**5 + 0*z**2 + 0. Let u(x) = 0. Calculate x.
0, 1, 5
Let g(f) = -f**2 + 11*f - 16. Let p be g(9). Factor 6*s**2 - s**3 - 5*s**p + 2*s**3.
s**2*(s + 1)
Let x be (-4*(-40)/(-128))/(0 - 5/8). Factor 18/5*f**x + 3/5 + 3/5*f**4 + 12/5*f + 12/5*f**3.
3*(f + 1)**4/5
Let j(z) be the second derivative of z**6/210 + z**5/35 + z**4/28 - 2*z**3/21 - 2*z**2/7 + 392*z. Find y, given that j(y) = 0.
-2, -1, 1
Factor -41*x + 1681 + 1/4*x**2.
(x - 82)**2/4
Let a(b) = -4*b**3 + 5*b**2 + 3*b. Suppose -18 - 24 = 14*s. Let f(v) = -3*v**3 + 5*v**2 + 2*v. Let z(j) = s*f(j) + 2*a(j). Factor z(m).
m**2*(m - 5)
Suppose 5*l - 105 + 25 = 0. Find o, given that -l*o**3 + 3*o - 6*o**4 + 3*o**5 - 6*o**2 + 34*o**3 - 6*o**4 - 6*o**2 = 0.
0, 1
Suppose 0 = 3*w - 2*w + 2*w. Factor -2*h**2 - 91*h + 95*h + w*h**2.
-2*h*(h - 2)
Factor 5/7*b - 4/7*b**2 + 1/7*b**3 - 2/7.
(b - 2)*(b - 1)**2/7
Let z(p) be the first derivative of -2/9*p**3 - 2*p**2 + 14/3*p + 13. Let z(w) = 0. Calculate w.
-7, 1
Factor 16*z**4 + 349*z**2 + 32*z**4 - 106*z**2 - 216*z**3 - 84*z + 9 + 0.
3*(z - 3)*(z - 1)*(4*z - 1)**2
Let h be (2/(-36))/((0 - 8)/24). Let g(b) = -b + 6. Let z be g(2). Suppose 1/3*t**3 + 2/3 + h*t**z - 2/3*t - 1/2*t**2 = 0. Calculate t.
-2, 1
Suppose 11 = x - 32. Factor -2*b**2 - b**2 + x*b - 34*b.
-3*b*(b - 3)
Let t(v) be the first derivative of 27/5*v**5 - 7*v**3 + 5 + 0*v + 0*v**4 + 3*v**2. What is x in t(x) = 0?
-1, 0, 1/3, 2/3
Suppose 2*v + 125 = 7*v. Let u = 0 - -2. Factor -v*b**3 - 107*b**4 - 12*b**u - 75*b**5 - 28*b**4 - 47*b**3.
-3*b**2*(b + 1)*(5*b + 2)**2
Let g = -23126185/117 + 197661. Let b = g + -14/13. Factor -2/9 + 4/9*u - b*u**2.
-2*(u - 1)**2/9
Let r(s) be the third derivative of -1/210*s**6 + 0*s**4 + 0*s**3 + 0*s**5 + 5*s**2 + 0*s + 1/1176*s**8 + 1/735*s**7 + 0. Find a, given that r(a) = 0.
-2, 0, 1
Let -3*f**2 + 13*f**2 - 13*f**2 + 17*f - 47 + 10*f - 7 = 0. What is f?
3, 6
Let m(j) = -2*j**2 - 35*j - 43. Let c be m(-16). What is t in -12/5*t**4 + 23/5*t**3 + 36/5*t + 54/5*t**2 + 8/5 - 9/5*t**c = 0?
-1, -2/3, 2
Suppose 742*m - 743*m - 6 = -2*a, 4*m - 2*a = 0. Solve 0 + 9*v**m - 27/5*v**3 - 21/5*v + 3/5*v**4 = 0 for v.
0, 1, 7
Let f be 2/(-2) + 3 + (2 - 1). Find j such that 15*j**5 + 10*j**2 + j**3 + 8*j**4 + 17*j**f - 48*j**4 - 3*j**3 = 0.
-1/3, 0, 1, 2
Let b(v) = 25*v**3 + 35*v**2 - 45*v - 20. Let l(m) = 20 - 9*m + 16*m**3 - 35*m**2 + 53*m - 41*m**3. Let q(n) = 4*b(n) + 5*l(n). Factor q(p).
-5*(p - 1)*(p + 2)*(5*p + 2)
Let h(o) be the third derivative of -o**8/336 + o**7/70 - o**6/60 - o**2 - 18. Factor h(f).
-f**3*(f - 2)*(f - 1)
Let j be (42/(-70))/(1/(-5)). Factor b + 7 - b**j + 0*b**3 - 7.
-b*(b - 1)*(b + 1)
Let h(t) be the third derivative of -t**6/120 - t**5/4 - 2*t**4 - 22*t**3/3 + 27*t**2. Factor h(s).
-(s + 2)**2*(s + 11)
Suppose -2*u + 3*n = 114 - 328, -3*u + 5*n + 320 = 0. Find r such that -r**5 - 6*r**5 + 2*r**5 + 40*r**4 + 120*r**2 - u*r**3 - 45*r = 0.
0, 1, 3
Let p(z) be the first derivative of -2*z**3/39 + 57*z**2/13 - 220*z/13 - 375. Suppose p(j) = 0. What is j?
2, 55
Let w = -1205/9 - -134. Let k(x) be the first derivative of 0*x**2 - 4 + 0*x + 0*x**3 + 1/6*x**4 + w*x**6 - 4/15*x**5. Factor k(j).
2*j**3*(j - 1)**2/3
Let x(r) = -2*r - 3. Suppose 4*n - 3*n = -3. Let i be x(n). Factor -3*j**2 + 10*j**2 - 5*j + i*j.
j*(7*j - 2)
Let y = 93/8 + -9/8. Find h such that 9/4*h**5 + y*h**4 + 9*h**2 - 3/4*h - 3/2 + 33/2*h**3 = 0.
-2, -1, 1/3
Suppose -5*w + 4 = -3*w. Let j be ((-5)/22)/((-6)/72*15). Factor 8/11 - j*x**w - 6/11*x.
-2*(x - 1)*(x + 4)/11
Let y(b) be the first derivative of -b**3/3 - 120*b**2 - 14400*b + 812. Let y(o) = 0. Calculate o.
-120
Factor 9*y**3 + 92*y**2 - 16*y**3 - 60*y + y**5 - 30*y**4 + 4*y**3 + y**5 - y**5.
y*(y - 30)*(y - 1)**2*(y + 2)
Let c(w) be the third derivative of 2/3*w**3 - 441/8*w**8 + 0 + 167/12*w**5 - 55/12*w**4 + 21/16*w**6 - 63*w**7 + 34*w**2 + 0*w. Factor c(d).
-(2*d + 1)**2*(21*d - 2)**3/2
Let t(k) be the second derivative of -4/39*k**3 + 4/13*k**2 + 0 - 4*k + 1/78*k**4. Determine y, given that t(y) = 0.
2
Let w be 60/161 + (30/69)/(-5). Factor -8/7*d - w*d**2 - 6/7.
-2*(d + 1)*(d + 3)/7
Suppose -5*o + 23 = 3. Suppose 4*h + 8 = -2*k, 2*h - 2*k = -k + o. Factor -1/2*f - 1/4*f**3 + h + 3/4*f**2.
-f*(f - 2)*(f - 1)/4
Let q(n) be the third derivative of -n**6/540 - n**5/27 - 23*n**4/108 - 14*n**3/27 + 8*n**2. Factor q(m).
-2*(m + 1)*(m + 2)*(m + 7)/9
Let x(p) = p + 6. Let j be x(-3). Let a be -2*j/15*-80. Factor -5*f - 35*f**2 + a*f**2 + 6 + 2*f.
-3*(f - 1)*(f + 2)
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