 29*n = 0. What is n?
-2/11, 0, 1
Let p = -50 - -52. Suppose -u**4 - 9*u**2 - 6*u - 9*u**3 + 9*u - p*u**4 - 6*u = 0. Calculate u.
-1, 0
Let l(q) = -2*q + 20. Let b be l(9). Factor -6*r**2 + 1 + b*r**3 - 143*r + 5 + 141*r.
2*(r - 3)*(r - 1)*(r + 1)
Suppose -5*d + 5*w = 4*w - 24, 0 = -d + 4*w + 1. Determine x so that d*x**4 + 4*x**4 - 6*x**4 - 3*x**2 = 0.
-1, 0, 1
Solve -5*t + 65*t**2 - 140*t + 64 + 71*t**3 - 66*t**3 + 11 = 0 for t.
-15, 1
Suppose 0*o - 3*o + 12 = 0. Suppose 8 = 4*w - 2*p, p + 4 + 4 = o*w. Factor t**w - 3*t - 2 + 4*t - 4*t**2 + 6*t**2.
(t + 1)*(3*t - 2)
Let x be ((-374)/(-122) - 1/3) + -2. Let i = x + -4/61. Factor 0*v + 0 + i*v**3 - 2*v**2.
2*v**2*(v - 3)/3
Let u(r) be the second derivative of -r**6/12 - r**5/5 - r**4/9 + 2*r**3 - 11*r. Let z(j) be the second derivative of u(j). Determine d so that z(d) = 0.
-2/3, -2/15
Let d(a) be the second derivative of a**7/21 - a**6/15 - a**5/5 + a**4/3 + a**3/3 - a**2 - 20*a. Factor d(k).
2*(k - 1)**3*(k + 1)**2
Suppose 8 = -12*d + 32. Let h(l) = -7*l**3 + 29*l**2 - 32*l + 13. Let q(v) = -v**3 + v**2 + 1. Let j(k) = d*h(k) - 6*q(k). Factor j(a).
-4*(a - 5)*(a - 1)*(2*a - 1)
Let b(o) be the first derivative of -o**5 - 15*o**4 - 45*o**3 - 14. Factor b(r).
-5*r**2*(r + 3)*(r + 9)
Factor 2/7 + 0*l**3 + 0*l - 4/7*l**2 + 2/7*l**4.
2*(l - 1)**2*(l + 1)**2/7
Let s = -1819 - -1819. Factor -2/5*x**2 + 4/5*x**3 + s + 0*x - 2/5*x**4.
-2*x**2*(x - 1)**2/5
Let s(x) = x**3 - 2*x**2 + x. Let u(o) = -3*o**3 - 153*o**2 - 306*o - 84. Let h(c) = -18*s(c) - u(c). Factor h(l).
-3*(l - 14)*(l + 1)*(5*l + 2)
Let v(w) = 5*w**4 + 35*w**3 - 5*w**2 - 20*w. Let t(o) = -5*o**4 - 36*o**3 + 5*o**2 + 18*o. Let p(l) = 5*t(l) + 6*v(l). Solve p(d) = 0.
-6, -1, 0, 1
Let b(q) be the second derivative of -7*q + 5/48*q**4 - 1/30*q**5 - 1/12*q**3 + 0 - 2*q**2. Let p(y) be the first derivative of b(y). Factor p(z).
-(z - 1)*(4*z - 1)/2
Let j = 207/2 - 96. Let v(k) be the first derivative of 6*k + 15/4*k**4 + k**3 - j*k**2 + 2 - 9/5*k**5. Suppose v(g) = 0. What is g?
-1, 2/3, 1
Let q = -12045 + 301181/25. Let r = q + -16/25. Factor 2/5*t**4 - r*t - 8/5*t**2 + 0 + 2/5*t**3.
2*t*(t - 2)*(t + 1)*(t + 2)/5
Let y(x) = -4. Let m(k) = 2*k**3 + 46*k**2 - 40. Let h(q) = m(q) - 10*y(q). Factor h(p).
2*p**2*(p + 23)
Let r be ((-60)/(-9))/(2/3). Suppose 0 = -5*l + r. Factor 10*g + 64*g**2 + 71*g**2 + 5*g**3 - 120*g**l.
5*g*(g + 1)*(g + 2)
Factor -v**4 + 18*v**2 + 27*v**3 - v**4 - 5*v - 5*v - 33*v**3.
-2*v*(v - 1)**2*(v + 5)
Factor -5/3*q**2 + 620/3 + 100*q.
-5*(q - 62)*(q + 2)/3
Solve -13254/5*t + 207646/5 + 282/5*t**2 - 2/5*t**3 = 0 for t.
47
Determine z so that -6*z + 36*z**3 - 108/5*z**4 - 3/5 - 39/5*z**2 = 0.
-1/6, 1
Let p(y) be the second derivative of 1/48*y**4 - 3*y + 0*y**3 - 1/8*y**2 - 4. Factor p(g).
(g - 1)*(g + 1)/4
Let v be ((-264)/308)/(30/(-14)). Factor -14/5*q - 16/5 + v*q**2.
2*(q - 8)*(q + 1)/5
Let d(f) be the third derivative of f**5/40 - 9*f**4/4 + 81*f**3 - 181*f**2. Let d(x) = 0. Calculate x.
18
Let s(d) = 46*d**3 + 1320*d**2 - 2618*d + 1300. Let l(z) = -26*z**3 - 754*z**2 + 1496*z - 743. Let o(q) = 16*l(q) + 9*s(q). Factor o(w).
-2*(w - 1)**2*(w + 94)
Let x be (6 + -5*(-96)/(-60))*2/(-16). Find v such that -1/4*v**3 + x*v**2 + 0*v + 0 = 0.
0, 1
Factor -3 + 50*y - 317*y**2 + 636*y**2 - 21 - 324*y**2 - 21.
-5*(y - 9)*(y - 1)
Let c(n) be the second derivative of -n**7/14 - n**6/10 + 9*n**5/5 - n**4 - 8*n**3 - 429*n. What is g in c(g) = 0?
-4, -1, 0, 2
Let r(j) be the third derivative of j**5/90 + j**4/4 + 9*j**3/4 - 23*j**2. Solve r(k) = 0.
-9/2
Let r(q) = q**3 + 12*q**2 + 2*q + 26. Let v be r(-12). Suppose v = 12*k + 2. Factor 1/4*x**5 + k + x**4 - x**2 + 3/4*x**3 - x.
x*(x - 1)*(x + 1)*(x + 2)**2/4
Let n(i) = -i**2 - i - 1. Suppose -228 = -10*t - 258. Let f(j) = 5*j**2 + 0*j**3 - 2*j**3 - 9*j - 1 - 2*j**2. Let q(k) = t*n(k) + f(k). Let q(o) = 0. What is o?
1
Let n(y) be the third derivative of 0*y - 1/105*y**5 + 1/420*y**6 + 0*y**4 + 0 - y**2 + 0*y**3. Factor n(c).
2*c**2*(c - 2)/7
Let v(x) be the second derivative of 3*x**5/25 - 7*x**4/20 - x**3/5 - 45*x + 2. Suppose v(h) = 0. What is h?
-1/4, 0, 2
Suppose 2*x = w + 6, 0 = 4*x - 4*w - 9 + 1. Factor 85*d - 70*d**2 - 257*d + 4*d**5 + 80*d**x + 117*d + 20*d**3 + 31*d**5 - 10.
5*(d - 1)*(d + 1)**3*(7*d + 2)
Let m(d) be the third derivative of d**6/360 + 5*d**5/3 + 2533*d**4/8 + 22201*d**3/9 - 53*d**2 - 3*d. Let m(g) = 0. What is g?
-149, -2
Suppose -2*r + 52 = 3*k - 3*r, -5*r = -2*k + 52. Suppose 5*n - k = -6. Determine x so that -46/7*x**3 - 8/7*x + 0 + 40/7*x**n + 2*x**4 = 0.
0, 2/7, 1, 2
Let l(u) be the third derivative of -u**7/420 + u**6/240 + u**5/40 - u**4/48 - u**3/6 - 2*u**2 + 11*u. Solve l(g) = 0.
-1, 1, 2
Suppose 52 - 12 = 4*s. Let o = s - 4. Determine z, given that 2*z**2 + 2*z - o*z**2 + 2*z**3 + 8*z**2 = 0.
-1, 0
Let v(k) = -k**2 + k - 1. Let c(m) = -3*m**2 - 45*m + 1. Let j(b) = c(b) + v(b). Find l such that j(l) = 0.
-11, 0
Let z(d) be the first derivative of d**6/30 + 7*d**5/25 + 4*d**4/5 + 8*d**3/15 - 8*d**2/5 - 16*d/5 + 122. Factor z(t).
(t - 1)*(t + 2)**4/5
Let l(w) be the first derivative of -w**3/18 - 41*w**2/2 - 5043*w/2 + 659. Factor l(r).
-(r + 123)**2/6
Suppose -3*a + 9 = -4*l, -2*l + 9 = 3*a + l. Let y(t) = 6*t**2 - 18*t + 12. Let v(c) = -7*c**2 + 19*c - 12. Let f(w) = a*y(w) + 2*v(w). Factor f(q).
4*(q - 3)*(q - 1)
Let r(i) be the first derivative of -14*i**3/3 + 110*i**2 + 64*i - 544. Determine y, given that r(y) = 0.
-2/7, 16
Let p(o) be the second derivative of 23*o + 1/12*o**4 - 7/6*o**3 + 0 + 3*o**2. Factor p(r).
(r - 6)*(r - 1)
Factor -6*n + 36*n**3 - 48*n + 18*n**3 - 3*n**2 + 3*n**4.
3*n*(n - 1)*(n + 1)*(n + 18)
Solve 8/3*k**3 + 3 - 22/3*k**2 + 5/3*k**4 + 0*k = 0.
-3, -3/5, 1
Let n be (32/48)/((-4)/(-18)). Suppose -x + 5*r + 0*r = -n, -r - 3 = -x. Factor -36/5*o**2 - 32/5*o**x - 2*o**4 - 2/5 - 16/5*o.
-2*(o + 1)**3*(5*o + 1)/5
Let a(m) = -m**4 + 17*m**3 - 15*m**2 - 11*m - 8. Let l(z) = -z**3 + z**2 + 3. Let n(h) = -a(h) - 6*l(h). Factor n(j).
(j - 10)*(j - 1)**2*(j + 1)
Let r(i) be the second derivative of i**7/315 - i**5/50 + i**4/45 - 5*i + 3. Factor r(a).
2*a**2*(a - 1)**2*(a + 2)/15
Let g(l) be the first derivative of -l**4 + 24*l**3 - 216*l**2 + 864*l + 9. Factor g(u).
-4*(u - 6)**3
Let v be (-3 + 3)/(4/2). Let m = v - -4. Factor w - m*w + 3 + w - w**2.
-(w - 1)*(w + 3)
Let r be (26/(-6))/(-1) - 2/6. Let a be (3 + (-45)/10)/((-3)/r). Factor -1/2 - 5/4*f**5 - 11/2*f**3 + 2*f**a + 9/2*f**4 + 3/4*f.
-(f - 1)**4*(5*f + 2)/4
Suppose 30/7*c**3 + 0 - 9/7*c**4 + 24/7*c + 1/7*c**5 - 44/7*c**2 = 0. Calculate c.
0, 2, 3
Let m(s) be the first derivative of -18*s**2 + 20*s + 18*s**4 + 19*s**4 - 36*s**4 + 4*s**3 - 4. Factor m(v).
4*(v - 1)**2*(v + 5)
Factor 6*n + 645*n**3 + 66 - 46*n - 644*n**3 - n**2 - 6 + 52.
(n - 4)**2*(n + 7)
Let x(s) be the third derivative of -s**6/40 - s**5/40 + 7*s**3/6 - 3*s**2. Let l(j) be the first derivative of x(j). Suppose l(z) = 0. Calculate z.
-1/3, 0
Let c(t) be the second derivative of t**5/50 + 3*t**4/10 + 4*t**3/3 + 12*t**2/5 - 12*t + 26. Solve c(o) = 0.
-6, -2, -1
Let n be 496/(-64) - 3 - -17. Suppose -5*z + 10*z**2 - n*z**5 + 45/4*z**3 + 0 - 10*z**4 = 0. Calculate z.
-2, -1, 0, 2/5, 1
Let f(y) be the second derivative of -y**5/180 + y**4/27 + 7*y**3/54 - 5*y**2/9 - 214*y. Factor f(g).
-(g - 5)*(g - 1)*(g + 2)/9
Factor -2/7*q**2 + 50/7*q + 52/7.
-2*(q - 26)*(q + 1)/7
Let t(b) be the first derivative of 1/24*b**4 - 1/9*b**3 + 0*b + 11 + 0*b**2. Factor t(n).
n**2*(n - 2)/6
Factor 72 + 21*x + 5917*x**2 + 5923*x**2 - 11855*x**2.
-3*(x - 3)*(5*x + 8)
Let a(r) be the second derivative of -r**4/3 + 188*r**3/3 + 190*r**2 + 72*r. Factor a(z).
-4*(z - 95)*(z + 1)
Let u(g) be the third derivative of -g**7/1008 + 7*g**6/72 - 49*g**5/12 + 7*g**4/4 - 27*g**2. Let j(m) be the second derivative of u(m). What is k in j(k) = 0?
14
Let r(o) = -o**2 + 6*o + 91. Let a be r(-7). Suppose -3/4*g**3 - 3/4*g**2 + a + 3/2*g = 0. Calculate g.
-2, 0, 1
Suppose -2*l = -7*l + 3*o + 40, -2*l - 2*o = 0. Let p be (-29 - -23)*(-13 + 12)*(-2)/(-12). Suppose 25/4*s**2 + l*s + p = 0. What is s?
-2/5
Let o(h) be the first derivative of 12/5*h**5 + 0*h - 9/2*h**2 + 24 + 14*h**3 - 57/4*h**4 + 2*h**6. Suppose o(v) = 0. What is v?
-3, 0, 1/2, 1
Fin