 of 5*t - 1/84*t**4 + 0 - 1/7*t**2 - 1/14*t**3. Determine q, given that z(q) = 0.
-2, -1
Suppose -1/2*f**2 + 27 - 15/2*f = 0. Calculate f.
-18, 3
Suppose -5*v - 33 = 4*j, -7 = 2*v + 3. Let s be (-1 - j)*(3 + 2). Determine y, given that -y**3 - 2*y**3 - 7*y**2 - s*y**2 + y**3 - 18*y = 0.
-3, 0
Let a(r) be the third derivative of 1/6*r**5 + 0 - 1/6*r**6 - 4*r**3 + 5/3*r**4 + 0*r + 4*r**2 - 1/35*r**7. Solve a(v) = 0.
-3, -2, 2/3, 1
Suppose 4*o + 15 - 31 = 0. Factor 10*c**2 - 3*c**3 - 57*c**3 + 50*c**o - 15*c**5 - 2*c + 20*c**2 - 3*c.
-5*c*(c - 1)**3*(3*c - 1)
Let z(b) be the second derivative of -b**7/168 - 23*b**6/4 - 4761*b**5/2 - 547515*b**4 - 75557070*b**3 - 6256125396*b**2 - b + 209. Factor z(x).
-(x + 138)**5/4
Let n be ((-28)/10 - -3) + 796/20. Factor -8*f**2 - 81 + 1 + 3*f**2 + n*f.
-5*(f - 4)**2
Solve -4*x**5 + 4*x**3 + 20*x**2 - 2*x**4 - 24*x**2 + 6*x**4 = 0 for x.
-1, 0, 1
Factor 0 + 6/13*h**3 + 0*h - 4/13*h**2 - 2/13*h**4.
-2*h**2*(h - 2)*(h - 1)/13
Suppose -9*g + 192 = 23*g. Let m(x) be the third derivative of -1/60*x**g - 4*x**2 + 0*x + 0 - 1/105*x**7 + 1/30*x**5 + 1/12*x**4 + 0*x**3. Factor m(h).
-2*h*(h - 1)*(h + 1)**2
Let -35*w**4 - w**5 + 0*w**2 - w**2 + 32*w**4 + 5*w**2 = 0. What is w?
-2, 0, 1
Let g = 119 - -197. Let p = g + -108. Factor 377*u**2 - 6 + p*u + 22 + 290*u**2 + 9*u**2.
4*(13*u + 2)**2
Let b(m) be the second derivative of 25/6*m**4 + 5/42*m**7 + 25/6*m**3 - 31*m + 5/2*m**5 + 0 + 5/6*m**6 + 5/2*m**2. Let b(r) = 0. Calculate r.
-1
Let u(t) = 8*t + 32. Let k be u(-4). Let m(q) be the second derivative of -1/40*q**6 + k*q**3 + 0 + 0*q**5 + 1/16*q**4 - 2*q + 0*q**2. Factor m(d).
-3*d**2*(d - 1)*(d + 1)/4
Let u(r) be the first derivative of 20 + 0*r**2 + 0*r**3 + 0*r + 3/25*r**5 + 1/30*r**6 + 1/10*r**4. Factor u(n).
n**3*(n + 1)*(n + 2)/5
Let f = 61 - 61. Suppose -4*w - 4*w + 32 = f. What is v in -v**3 - 2/5*v + 9/5*v**2 - 9/5*v**w + 0 + 7/5*v**5 = 0?
-1, 0, 2/7, 1
Let j(y) be the second derivative of -5*y**4/12 - 155*y**3/3 + 315*y**2/2 - 572*y. Factor j(s).
-5*(s - 1)*(s + 63)
Let t(o) be the third derivative of o**5/450 + 2*o**4/45 + 4*o**3/15 + o**2 + 10. Factor t(m).
2*(m + 2)*(m + 6)/15
Suppose -n = 3*n. Suppose n = 5*k - 5 - 20. Factor -20*h**4 + 4*h**2 - h**5 - 12*h**4 - 7*h**3 - 3*h**3 - 17*h**k.
-2*h**2*(h + 1)**2*(9*h - 2)
Let w = -34 - -50. Suppose 0 = 2*r + 6*r - w. Factor -2/7*n**3 + 0 - 2/7*n**r + 0*n.
-2*n**2*(n + 1)/7
Let b(d) be the third derivative of d**6/300 + 3*d**5/50 + 13*d**4/30 + 8*d**3/5 - 2*d**2 - 86. Factor b(a).
2*(a + 2)*(a + 3)*(a + 4)/5
Let c(u) be the first derivative of u**6/6 + u**5 + 5*u**4/2 + 10*u**3/3 + 5*u**2/2 + u - 121. Factor c(l).
(l + 1)**5
Suppose -24/5 - 148/5*g**3 + 20*g + 24/5*g**2 - 48/5*g**4 = 0. Calculate g.
-3, -1, 1/4, 2/3
Let l(o) be the second derivative of 9*o**5/160 + o**4/32 - 3*o**3/16 - 3*o**2/16 - 10*o + 18. Let l(t) = 0. What is t?
-1, -1/3, 1
What is c in -11/4*c**3 + 1/4*c**5 + 16*c - 13/2*c**2 - 8 + c**4 = 0?
-4, 1, 2
Suppose -y = 5*h + 2*y + 546, 5*h + 530 = 5*y. Let c = h + 110. Find v such that c*v**3 - 2*v**4 + 0 + 1/2*v**5 + 0*v**2 + 0*v = 0.
0, 2
Suppose 0*p + 5*p = 30. Let j(g) = -2*g + 15. Let f be j(p). Find b, given that 4*b**2 - 20 + 20 + 4*b + b**f = 0.
-2, 0
Factor -6*n**2 - 18*n + 54 - 2*n**3 - 21*n**3 + 25*n**3.
2*(n - 3)**2*(n + 3)
Let l = -1179 + 1181. Let m(d) = -d**2 + 12*d - 17. Let h be m(10). Factor -2/13*y**5 - 12/13*y**h + 8/13*y**4 + 0 - 2/13*y + 8/13*y**l.
-2*y*(y - 1)**4/13
Let a = 1171/5 + -234. Let -a*k + 1/5*k**4 + 1/5*k**3 - 1/5*k**2 + 0 = 0. What is k?
-1, 0, 1
Let x be (9 - (-10 + (-730)/(-30)))/(-2). Factor -x + 2*o - 1/3*o**2.
-(o - 4)*(o - 2)/3
Suppose 2*o = -2*o + 116. Let g = o + -27. Let 7/2*l**3 - l**g + 1 - 7/2*l = 0. What is l?
-1, 2/7, 1
Let y(x) be the second derivative of -x**4/84 + 23*x**3/42 - 11*x**2/7 + 30*x. Let y(p) = 0. Calculate p.
1, 22
Factor 0 - 1/2*v**4 + v**3 - v + 1/2*v**2.
-v*(v - 2)*(v - 1)*(v + 1)/2
Suppose 0 = 212*k - 257*k + 90. Let b = -2517/5 + 505. Solve -b*t - 12/5 + 4/5*t**k = 0.
-1, 3
Suppose -10 = 2*d + 8. Let t = d - -12. Find j such that -3*j**3 + 3*j**2 + 3*j + 6*j**t - j - 2*j**3 = 0.
-2, -1, 0
Let n(a) be the first derivative of -4*a**5/5 - 2*a**4 + 20*a**3/3 + 12*a**2 + 41. Factor n(u).
-4*u*(u - 2)*(u + 1)*(u + 3)
Let o(g) be the third derivative of g**9/7056 - g**8/5880 - g**7/5880 + 5*g**3/2 - 6*g**2. Let s(q) be the first derivative of o(q). Solve s(x) = 0.
-1/3, 0, 1
Find r, given that -1/2*r**2 + 20 - 3*r = 0.
-10, 4
Suppose 0 = -4*n + 7 - 3. Let t be -6 + 5 - (-4)/n. Suppose -6*m**2 + 8*m - 42*m**t - 17*m**5 + 3*m**5 + 26*m**2 - 53*m**4 = 0. Calculate m.
-2, -2/7, 0, 1/2
Let a(h) = -5*h**4 + 12*h**3 + 17*h**2 - 42*h + 18. Let f(v) = 5*v**4 - 13*v**3 - 18*v**2 + 43*v - 17. Let o(j) = -3*a(j) - 2*f(j). Let o(m) = 0. Calculate m.
-2, 1, 2
Let l be ((-1)/3 - -1)*18/4. Factor 7*c**2 - 4*c + 4*c**l - 8 + 10*c**2 - 9*c**2.
4*(c - 1)*(c + 1)*(c + 2)
Let q(p) = -2*p**2 - 4*p - 3. Let h be q(-4). Let z = -17 - h. Solve 7*c**3 - c**3 - 4*c**3 - 4*c**2 + z*c**4 = 0 for c.
-2, 0, 1
Let f(b) = b**2 - 67*b + 313. Let n be f(5). Factor 9/4*u - n + 3/4*u**2.
3*(u - 1)*(u + 4)/4
Let s be (1 - (0 - -1))/(-1). Let n be (0 + (-12)/(-35))*410/164. Factor -3/7*t + n*t**2 + s - 3/7*t**3.
-3*t*(t - 1)**2/7
Let j(d) be the second derivative of d**7/21 - 2*d**6/15 - 11*d**5/10 + 2*d**4 - 56*d. Determine q so that j(q) = 0.
-3, 0, 1, 4
Let j(d) = -d**2 - 15*d + 103. Let t be j(5). Let v(w) be the first derivative of -3/2*w**2 - w**3 + 3/4*w**4 - 5 + t*w. Determine u, given that v(u) = 0.
-1, 1
Let q(l) be the second derivative of 8/17*l**2 + 1/170*l**5 - 15*l + 0 + 4/17*l**3 + 1/17*l**4. Find k, given that q(k) = 0.
-2
Suppose 6 = -y + 1, 2*g - 13 = 5*y. Let n(o) = 2*o**2 - o - 1. Let x(a) = -22*a**2 + a + 6. Let l(u) = g*n(u) - x(u). Suppose l(b) = 0. Calculate b.
-1/2, 0
Factor 216/5 - 1809/5*z**3 + 648/5*z**4 - 81/5*z**5 + 426*z**2 - 1116/5*z.
-3*(z - 3)**2*(3*z - 2)**3/5
Suppose -8*r - 171 = -195. Factor 1/2*k**4 - 3/2*k**2 + 0 - k + 0*k**r.
k*(k - 2)*(k + 1)**2/2
Suppose -18*m - 6*m**5 - 27*m**4 - 6*m**4 + 33*m**2 - 10*m**5 + 28*m**5 + 6*m**3 = 0. What is m?
-1, 0, 3/4, 1, 2
Let n(k) be the third derivative of -k**7/105 + 7*k**6/240 - k**5/60 - k**4/48 - 112*k**2. Find y, given that n(y) = 0.
-1/4, 0, 1
Suppose 4*a + 10 = 6*a. Let -2*o**2 - a*o**5 + 4*o**3 - 2*o**2 - o**2 + o**3 + 5*o**4 = 0. Calculate o.
-1, 0, 1
Factor -9 - 161/2*a**3 - 613/4*a**2 - 49/4*a**4 - 69*a.
-(a + 3)**2*(7*a + 2)**2/4
Let h(j) = -j**3 - 10*j**2 + 12*j + 15. Let b be h(-11). Suppose -3*a = -a - b. Determine x so that 7/3*x**a + 16/3*x + 4/3 = 0.
-2, -2/7
Let i be 8 - (1 + (1 - -2)). Suppose i*r + 357 - r**3 - 365 - 2*r**2 + 8*r**2 - r**4 = 0. Calculate r.
-2, 1, 2
Find m such that 65/6*m - 5/6*m**2 - 100/3 = 0.
5, 8
Let o(i) be the first derivative of i**5/30 - i**4/18 - i**3/9 + i**2/3 + 18*i + 44. Let v(r) be the first derivative of o(r). Suppose v(a) = 0. Calculate a.
-1, 1
Suppose 100/3*v - 70/3*v**2 + 40 - 15*v**3 + 10/3*v**4 + 5/3*v**5 = 0. Calculate v.
-3, -2, -1, 2
Factor 0*q - 1/10*q**3 + 0 - 3/5*q**2.
-q**2*(q + 6)/10
Let h(m) be the second derivative of m**6/75 - 7*m**5/50 + 13*m**4/30 + m**3/5 - 18*m**2/5 - m + 184. Factor h(x).
2*(x - 3)**2*(x - 2)*(x + 1)/5
Let v(p) be the third derivative of p**5/240 - 5*p**4/96 + p**2 - 6. Factor v(d).
d*(d - 5)/4
Let a(n) be the second derivative of n**6/45 + n**5/6 + 7*n**4/18 + n**3/3 - 21*n - 2. Let a(r) = 0. Calculate r.
-3, -1, 0
Solve 0 - 3/2*a - 15/8*a**3 + 3/8*a**4 + 3*a**2 = 0.
0, 1, 2
Suppose 26/9*d**2 + 8/3*d - 26/9*d**4 + 0 - 22/9*d**3 - 2/9*d**5 = 0. Calculate d.
-12, -1, 0, 1
Let x(b) be the third derivative of b**6/600 - 3*b**5/100 + 13*b**4/60 - 4*b**3/5 - 321*b**2. Factor x(n).
(n - 4)*(n - 3)*(n - 2)/5
Let m(k) = -k**3 + 12*k**2 - 10*k - 15. Let h be m(11). Let t be h/2 + (-220)/(-11). Factor 7*r**2 + 2*r**2 + 3*r - 3*r**3 - t - 3*r**4 + 12.
-3*(r - 1)**2*(r + 1)*(r + 2)
Let g(t) be the second derivative of -t**6/30 - 34*t**5/15 - 1222*t**4/27 - 2992*t**3/27 - 968*t**2/9 + 2*t - 87. Factor g(a).
-(a + 22)**2*(3*a + 2)**2/9
Suppose 9 = -z + 4*z - 3*d, -5*z - d = -15. Find c, given that -c**5 + 6*c**2 + 4*c**z - 10*c - c**3 + 14*c - 2*c**4 + 2*c**2