m**6. Factor a(o).
o**3*(o - 1)*(o + 2)
Let b be 1001/49 + -18 - (-4)/7. Find z such that 0 - 5/3*z**4 + 2/3*z + 1/3*z**5 - 7/3*z**2 + b*z**3 = 0.
0, 1, 2
Let w(r) = r**2 - 4*r + 18. Let n(o) = -2*o + 1. Let s(k) = 30*n(k) - 5*w(k). Solve s(i) = 0.
-6, -2
Solve 11239*p + 4*p**5 - 4*p**4 + 0*p**5 - 11239*p = 0 for p.
0, 1
Let r(h) = 3*h**3 - 4*h**2 - 2*h + 2. Let d be r(2). Suppose -3*p + 9 = -d. Factor 8*v**4 + v - p*v + 2*v**5 + v**5 - 8*v**2 + v**5.
4*v*(v - 1)*(v + 1)**3
Let k(q) = -q**5 - q**4 + q**2. Let b(n) = -3*n**5 - 6*n**4 - 3*n**3 + 6*n**2 + 4*n. Let i(p) = b(p) - 2*k(p). Solve i(j) = 0.
-2, -1, 0, 1
Let y be -11 + -11 + 464/20. Determine m, given that 3/5*m**2 + y + 9/5*m = 0.
-2, -1
Let a(s) = s**3 + 12*s**2 + 13*s + 24. Let x be a(-11). Let o be 6/(-9)*(-4)/12*x. Determine r, given that 2/9*r**5 + 0*r + 2/9*r**3 + 0 + 0*r**2 - o*r**4 = 0.
0, 1
Suppose 2*h = -5*w + 293, 0 = 4*h + w - 125 - 452. Factor 8*a**3 - 139*a**4 - 3*a**2 + h*a**4 + 2*a**3 + 8*a**2.
5*a**2*(a + 1)**2
Let k be 50 - 49 - (0 + 1). Let l(d) be the third derivative of 7*d**2 + 0*d**3 + 1/360*d**6 - 1/60*d**5 + 1/36*d**4 + k*d + 0. Factor l(w).
w*(w - 2)*(w - 1)/3
Suppose 44*i = 5 - 5. Let v(g) be the second derivative of 0*g**2 + i - 1/60*g**6 + 0*g**5 + 1/8*g**4 - g - 1/6*g**3. Suppose v(m) = 0. What is m?
-2, 0, 1
Let f(z) = -z**2 - 9*z + 1. Let x(o) = 6*o**3 - o**2 + o + 1. Let a be x(-1). Let u be f(a). Factor 2*b + u*b**4 - 2*b**2 + 3*b**2 - 16*b**3 - 2*b**2.
b*(b - 1)*(3*b + 1)*(5*b - 2)
Factor 0*v**2 + 0*v + 0 - 7/2*v**3 - 1/2*v**4.
-v**3*(v + 7)/2
Let f(u) be the third derivative of u**6/900 + u**5/150 + 7*u**3/6 - 11*u**2. Let v(p) be the first derivative of f(p). What is y in v(y) = 0?
-2, 0
Let p(c) be the third derivative of 169*c**5/60 - 13*c**4/8 + 3*c**3/8 - 56*c**2. Solve p(w) = 0.
3/26
Let d(f) be the third derivative of 0*f + 1/112*f**8 - 10*f**2 + 0*f**3 - 1/2*f**4 + 0 + 2/35*f**7 - 1/5*f**5 + 3/40*f**6. Find r, given that d(r) = 0.
-2, -1, 0, 1
Let v(k) be the second derivative of -2*k**2 - 5*k - 1/6*k**4 - k**3 + 0. Factor v(o).
-2*(o + 1)*(o + 2)
Let x(k) = 32*k**2 - 640*k + 15. Let r be x(20). Factor r*t + 75/2 + 3/2*t**2.
3*(t + 5)**2/2
Factor -4/5*o**3 - 12/5*o**2 + 16/5 + 0*o.
-4*(o - 1)*(o + 2)**2/5
Let j(u) = -u**3 + 2*u**2 - u - 6. Let g(w) = 3*w**4 - 12*w**3 - 9*w**2 - 10*w - 26. Let i(t) = 2*g(t) - 10*j(t). Solve i(r) = 0.
-1, 1/3, 4
Let q(p) = 9*p**4 + 21*p**3 + 4*p + 4. Let w(h) = -8*h**4 - 21*h**3 - h**2 - 3*h - 3. Let s(k) = -3*q(k) - 4*w(k). Let s(g) = 0. Calculate g.
-4, -1/5, 0
Let h(q) be the third derivative of 0*q**5 + 0 + 44*q**2 - 1/900*q**6 + 0*q + 0*q**4 + 1/1575*q**7 + 0*q**3. Solve h(l) = 0 for l.
0, 1
Factor -15/7*s - 3/7 - 15/7*s**4 - 3/7*s**5 - 30/7*s**3 - 30/7*s**2.
-3*(s + 1)**5/7
Factor 2/11*n**3 + 0*n + 0 - 4/11*n**4 + 0*n**2.
-2*n**3*(2*n - 1)/11
Solve -220/3*l**2 - 26/3*l**3 - 512/3*l - 64 = 0 for l.
-4, -6/13
Let n be (-261)/(-63) - (399/49 - 8). Factor 3*y - 12*y**3 - 1/2*y**2 - 1/2 - 8*y**n.
-(y + 1)**2*(4*y - 1)**2/2
Let r(x) be the third derivative of x**5/90 + x**4/18 - 168*x**2. Factor r(t).
2*t*(t + 2)/3
Factor -4/9*b**3 - 14/9*b**2 - 8/9*b + 8/9.
-2*(b + 2)**2*(2*b - 1)/9
Factor 4 + 2*f + 61*f**3 - 30*f**3 + 13*f**2 + 8*f - 30*f**3 - 28.
(f - 1)*(f + 2)*(f + 12)
Let h be 1*12 + 0 - 3. Let i(t) = t**2 - 8*t - 6. Let z be i(h). Find w, given that 24 - 3*w**4 + 8*w - 18*w**2 + 4*w - 15*w**z + 0*w**3 = 0.
-2, 1
Let l(m) be the third derivative of -m**5/60 + 13*m**4/24 - 5*m**3 + 2*m**2 - 31. Factor l(x).
-(x - 10)*(x - 3)
Let c = 34297/2 - 17148. Find h such that 0 - c*h**2 - 1/4*h**3 - 1/4*h = 0.
-1, 0
Let b(n) be the first derivative of 9*n**5/40 - 3*n**4/16 - 7*n**3/8 - 3*n**2/8 + 376. Determine o, given that b(o) = 0.
-1, -1/3, 0, 2
Let d be 1/(4*(-3)/(-12)). Suppose 3*g + 10 = -z, g = -4*z + 3 + d. Solve 0*b**2 - b**z + 2*b**2 = 0.
0
What is y in -456/5*y - 18/5*y**4 + 144/5 - 46*y**3 - 812/5*y**2 = 0?
-6, -1, 2/9
Let h(s) be the second derivative of -s**5/45 - s**4/27 + 2*s**3/27 + 2*s**2/9 - s + 12. Factor h(l).
-4*(l - 1)*(l + 1)**2/9
Let n(h) be the first derivative of -h**5/5 - h**4/3 + 2*h**3/3 + 2*h**2 - 7*h - 1. Let j(i) be the first derivative of n(i). Suppose j(k) = 0. Calculate k.
-1, 1
Let j(f) be the second derivative of f**7/5880 + f**6/840 - 2*f**4/3 - 17*f. Let d(v) be the third derivative of j(v). Factor d(t).
3*t*(t + 2)/7
Let w(g) be the second derivative of 8/3*g**3 + 0 - 1/3*g**4 + 23*g - 6*g**2. Determine i, given that w(i) = 0.
1, 3
Let g(h) be the third derivative of 0 + 8*h**2 - 3/50*h**5 - 9/40*h**4 - 2/5*h**3 + 0*h - 1/200*h**6. Suppose g(u) = 0. Calculate u.
-4, -1
Let f(u) be the first derivative of -1/4*u**2 + 10 + 0*u + 1/6*u**3. What is n in f(n) = 0?
0, 1
Let u(h) be the first derivative of -2*h**6/3 - 44*h**5/5 - 43*h**4 - 292*h**3/3 - 112*h**2 - 64*h - 153. Let u(b) = 0. Calculate b.
-4, -1
Let n = 11 - 9. Let w(g) be the second derivative of 1/12*g**4 + 0*g**5 + 0 + 4*g + 0*g**3 + 0*g**n - 1/30*g**6. Find d, given that w(d) = 0.
-1, 0, 1
Let m(d) be the third derivative of -1/20*d**5 + 0*d - 1/4*d**4 + 0 + 0*d**3 - 8*d**2. Factor m(p).
-3*p*(p + 2)
Let z(a) be the second derivative of a**5/50 + a**4/5 + 3*a**3/5 + 4*a**2/5 + 43*a - 4. Factor z(j).
2*(j + 1)**2*(j + 4)/5
Let v(p) be the second derivative of 7*p**4/4 - 23*p**3/6 + p**2 - 38*p - 2. Factor v(t).
(t - 1)*(21*t - 2)
Let v(u) be the third derivative of u**7/2940 - u**5/105 - 10*u**3/3 + 31*u**2. Let q(i) be the first derivative of v(i). Solve q(j) = 0.
-2, 0, 2
Let u(d) be the second derivative of d**5/10 - 5*d**4/6 - 13*d**3/3 - 7*d**2 - 90*d + 2. Determine k, given that u(k) = 0.
-1, 7
Let x(a) = 5*a**4 - 64*a**3 + 219*a**2 - 292*a + 136. Let i(p) = -20*p**4 + 255*p**3 - 875*p**2 + 1170*p - 545. Let d(o) = 4*i(o) + 15*x(o). Factor d(v).
-5*(v - 7)*(v - 2)**2*(v - 1)
Let a(b) be the first derivative of 2*b**3/15 + 8*b**2 + 160*b - 7. Factor a(u).
2*(u + 20)**2/5
Let g be (-12)/81*-3 + (-750)/1890. Let t(h) be the third derivative of -3*h**2 + 1/7*h**3 + 1/210*h**5 - g*h**4 + 0*h + 0. Factor t(s).
2*(s - 3)*(s - 1)/7
Let n = -1055/2856 + -2/357. Let r = 9/8 - n. Let 3/2*g**2 - 3/2*g - 3/2*g**4 + 0 + r*g**3 = 0. Calculate g.
-1, 0, 1
Let i(l) be the second derivative of -l**5/80 + 7*l**4/16 + 15*l**3/8 + 23*l**2/8 - 137*l + 2. Solve i(z) = 0.
-1, 23
Let b be 6/54 + (-1 - 159/(-162)). Let j(q) be the second derivative of 1/27*q**3 + 0 - 6*q + b*q**4 + 0*q**2. Let j(h) = 0. What is h?
-1/5, 0
Let w(c) = c**4 - c. Let y(r) be the second derivative of -r**7/21 - r**6/30 + r**5/10 + r**4/3 - r**3/2 + 2*r. Let n(o) = 3*w(o) - y(o). Factor n(x).
2*x**2*(x - 1)*(x + 1)*(x + 2)
Factor 31*d**2 + 33 - 37*d + 7*d - 72*d**2 + 38*d**2.
-3*(d - 1)*(d + 11)
Suppose -8 = -30*p + 28*p. Factor c**5 - 2*c**4 - 4 + c**3 - 12*c - 11*c**2 - 2*c**3 + 5*c**p.
(c - 2)*(c + 1)**3*(c + 2)
Let a(g) be the second derivative of 0 + 0*g**2 + 5/6*g**3 + g - 1/28*g**4 + 1/1260*g**6 - 1/210*g**5. Let i(u) be the second derivative of a(u). Factor i(j).
2*(j - 3)*(j + 1)/7
Let g(h) be the first derivative of 4*h**3/3 - 6*h**2 - 40*h - 229. Suppose g(z) = 0. Calculate z.
-2, 5
Let v(i) be the third derivative of -i**6/320 + 3*i**5/80 - 11*i**4/64 + 3*i**3/8 - 15*i**2 + 5*i. Determine a, given that v(a) = 0.
1, 2, 3
Factor 19*m**4 - 4*m**4 - 11*m**2 + 25*m - 4*m**2 + 3*m**5 - 21*m**3 - 7*m.
3*m*(m - 1)**2*(m + 1)*(m + 6)
Let a = -19885/7 - -2841. Factor 0*b**2 - a*b**3 + 0*b + 4/7*b**4 + 0 - 2/7*b**5.
-2*b**3*(b - 1)**2/7
Suppose -4*s - 74 = n - 3*n, 3*n - 5*s - 112 = 0. Factor 13*o + 66*o - 47*o**2 + 15*o**3 + 35*o**4 - n*o - 43*o**2.
5*o*(o - 1)*(o + 2)*(7*o - 4)
Let m(u) be the third derivative of 0*u**4 + 1/255*u**5 - 1/1785*u**7 - 6*u**2 + 0*u**6 + 0*u + 0 - 1/51*u**3. Solve m(l) = 0.
-1, 1
Suppose 5*g - 8 = 3*g. Let s be (1 + -1)/(g - 3). Suppose -h**2 + s*h**2 - h**2 + 6*h = 0. What is h?
0, 3
Let v be -2*1*(1 - 2). Factor v*x - 5*x - 11 - 5 + 3*x**2 - 2.
3*(x - 3)*(x + 2)
Let x(r) = 2*r**2 + 5*r + 1. Let a be x(-2). Let w be (a/7)/((-80)/420). Factor -3/4*o**2 + w + 1/4*o**3 - 1/4*o.
(o - 3)*(o - 1)*(o + 1)/4
Let v(n) be the second derivative of n**6/10 + 21*n**5/10 - 51*n**4/4 + n + 169. Find r, given that v(r) = 0.
-17, 0, 3
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