z.
-2, -1
Factor 64/17*k - 72/17 - 2/17*k**3 - 10/17*k**2.
-2*(k - 2)**2*(k + 9)/17
Let b(z) = 13*z**3 + 131*z**2 + 133*z + 5. Let m(l) = -6*l**3 - 66*l**2 - 66*l - 2. Let r(q) = 2*b(q) + 5*m(q). Factor r(g).
-4*g*(g + 1)*(g + 16)
Factor 6/7*x**3 + 0 - 752/7*x**2 - 72*x.
2*x*(x - 126)*(3*x + 2)/7
Let d(b) = b**3 - 5*b**2 + 9*b - 7. Let k be d(3). Factor -11*y - y**2 + y + k*y + 2*y - 5.
-(y + 1)*(y + 5)
Let f(y) be the second derivative of -25*y**6/27 - 95*y**5/18 + 115*y**4/9 - 292*y**3/27 + 40*y**2/9 + 2*y - 12. Determine v, given that f(v) = 0.
-5, 2/5
Let k(r) be the second derivative of r**7/84 - r**6/30 - r**5/8 + r**4/4 - r + 78. Factor k(p).
p**2*(p - 3)*(p - 1)*(p + 2)/2
Let j be (12/(-21))/(582/42 - 14). Factor 0 + 15/7*x**j + 0*x - 12/7*x**2 + 24/7*x**3.
3*x**2*(x + 2)*(5*x - 2)/7
Let h(s) be the third derivative of 4*s**2 - 1/40*s**4 + 3/20*s**3 + 0 + 0*s + 1/600*s**5. Factor h(o).
(o - 3)**2/10
Let z(g) be the third derivative of g**5/30 + 3*g**4/4 + 14*g**3/3 - 19*g**2 + 2*g. Let z(r) = 0. What is r?
-7, -2
Let k = 1007/11 + -6994/77. Factor -k + 1/7*q**2 + 4/7*q.
(q - 1)*(q + 5)/7
Solve 964/7*s**2 - 104/7*s**3 + 4/7*s**4 - 3744/7*s + 5184/7 = 0.
4, 9
Suppose -923*r - 36 = -922*r + 5*f, -3*f = -3*r + 36. Factor 2*y**r - 5/2*y**3 + 0*y + 0 - 1/2*y**5 + y**2.
-y**2*(y - 2)*(y - 1)**2/2
Suppose -307*m + 310*m = 9*a - 21, m = 4*a - 7. Solve a + 2/9*j**2 + 0*j = 0 for j.
0
Let u(r) = r + 2. Let j be u(2). Determine i, given that -j*i**2 + 3 + 1 - 4 + 4*i**4 = 0.
-1, 0, 1
Let o(x) be the third derivative of 81*x**7/35 - 63*x**6/8 - 23*x**5/10 + 15*x**4/2 - 4*x**3 - 29*x**2 + 3*x. Let o(k) = 0. Calculate k.
-1/2, 2/9, 2
Let q(r) be the third derivative of 1/6*r**3 - 1/360*r**6 + 0*r + 0*r**5 - 2*r**2 + 0 + 1/24*r**4. Let y(a) be the first derivative of q(a). Factor y(h).
-(h - 1)*(h + 1)
Let v(b) be the first derivative of 2*b**5/115 + 33*b**4/46 + 42*b**3/23 + 31*b**2/23 - 638. Determine a so that v(a) = 0.
-31, -1, 0
Let l = 8/59 + 11/354. Let v(q) be the second derivative of 0 - 1/12*q**4 + 1/2*q**2 - 5*q + 1/20*q**5 - l*q**3. Factor v(d).
(d - 1)**2*(d + 1)
Suppose 15 = -0*a + 5*a. Suppose -3*p = -a*i, -2*p = 2*i - 3*i - 2. Factor -g**2 + 3 - p*g**4 + g**4 - 3*g**3 + 3*g - 1.
-(g - 1)*(g + 1)**2*(g + 2)
Let n = 589 + -582. Let t(k) be the second derivative of 0*k**4 - 1/24*k**3 - 1/168*k**n + 5*k + 1/40*k**5 + 0*k**6 + 0*k**2 + 0. What is m in t(m) = 0?
-1, 0, 1
Let v(x) = -x**3 - 21*x**2 - 18*x + 42. Let s be v(-20). Let k(l) be the second derivative of 6*l + 7/54*l**4 - 5/9*l**3 - 1/90*l**5 + 0 + l**s. Factor k(a).
-2*(a - 3)**2*(a - 1)/9
Let u(g) = -75*g - 3. Let i be u(-1). Factor 196*d**4 - 96*d**3 + 24*d**2 + 12*d**2 - i*d**3.
4*d**2*(7*d - 3)**2
Let s be (-482)/(-4579) - 98/(-152). Factor -s*j**2 - 9/2 - 15/4*j.
-3*(j + 2)*(j + 3)/4
Suppose 2*g - 10 = x, 111*x - 108*x = 2*g - 22. Determine p so that 1/2*p**g + 50 + 10*p = 0.
-10
Let h be (-3 + 0)/3*(-71)/213. Find z such that 1/3*z + h*z**2 - 2/3 = 0.
-2, 1
Let l(w) be the third derivative of -w**6/120 + w**5/12 + 13*w**4/24 + 7*w**3/6 + w**2 + 200. What is k in l(k) = 0?
-1, 7
Let x(d) be the first derivative of -d**5/15 + d**4/2 + d**3/3 - 10*d**2/3 + 4*d + 15. Factor x(m).
-(m - 6)*(m - 1)**2*(m + 2)/3
Let l = -1069 - -1072. Let y(r) be the first derivative of 4*r + 1 + l*r**2 + 2/3*r**3. What is w in y(w) = 0?
-2, -1
Let 0 - 225/7*l**3 + 348/7*l**4 - 114/7*l**2 - 9/7*l = 0. Calculate l.
-1/4, -3/29, 0, 1
Let y(a) be the second derivative of a**7/8820 + a**6/756 + a**5/210 - 2*a**3/3 + 3*a. Let x(c) be the second derivative of y(c). Solve x(f) = 0.
-3, -2, 0
Find d, given that 32*d**3 + 57*d + 3202*d**2 + 249*d + 108 - 2962*d**2 = 0.
-6, -3/4
Factor -1/3*n**3 - 19/3*n**2 - 29*n - 39.
-(n + 3)**2*(n + 13)/3
Let v(p) be the third derivative of -p**5/160 + p**4/64 + 3*p**3/4 - 228*p**2. Suppose v(c) = 0. Calculate c.
-3, 4
Let a(h) be the first derivative of -1/16*h**4 + 0*h**3 + 4*h - 7 + 0*h**2. Let f(s) be the first derivative of a(s). Factor f(k).
-3*k**2/4
Factor -48*j**3 + 6*j**5 - 3*j**4 + 271 + 6*j**5 + 48*j**2 - 271 - 9*j**5.
3*j**2*(j - 4)*(j - 1)*(j + 4)
Suppose -2/5*y**2 + 6/5*y - 4/5 = 0. Calculate y.
1, 2
Let z(w) be the third derivative of -17*w**2 + 0*w + 0 + 1/390*w**5 + 0*w**3 + 1/26*w**4. Let z(y) = 0. What is y?
-6, 0
Let r be 12*(-2 + (-12)/(-9)). Let l = 12 + r. Determine s, given that 0*s - 11*s**2 - 12*s**5 + 11*s**l + 10*s**3 + 3*s - 2*s + s = 0.
-1, 0, 1/4, 2/3, 1
Let h(g) be the second derivative of -3/5*g**5 + 1/21*g**7 - g + 1/5*g**6 - 5/3*g**4 - 9*g**2 + 7*g**3 + 0. Factor h(a).
2*(a - 1)**3*(a + 3)**2
Let y(h) be the third derivative of -h**5/60 - 19*h**4/24 + 11*h**3 + 9*h**2 + 4. Determine t, given that y(t) = 0.
-22, 3
Let n be (21/117)/((-4)/36). Let b = 123/52 + n. Factor -3*p + 3*p**2 - b*p**3 + 0.
-3*p*(p - 2)**2/4
Let d be (54 + -54)/((-2)/((-2)/1)*-6). Find v such that -v**3 + d - 1/2*v**2 + 0*v = 0.
-1/2, 0
Suppose 80 - 59 = 7*j. Factor 0 + 1/5*w**2 - 1/5*w**4 + 0*w + 0*w**j.
-w**2*(w - 1)*(w + 1)/5
Suppose -t + 6 = 4. Let d be ((-275)/35)/(-5) + t/(-2). Determine u so that -d*u + 2/7*u**2 + 0 = 0.
0, 2
Factor 0*u**2 + 0 + 0*u - 7/11*u**5 + 54/11*u**3 - 17*u**4.
-u**3*(u + 27)*(7*u - 2)/11
Let c(x) = -3*x - 13. Let k be c(-10). Suppose -4*w = 5 - k. Determine f, given that 3*f**2 - f**w + 2*f**4 + f**2 + 0*f**2 + 7*f**3 = 0.
-2, -1, 0
Factor 0 - 2/3*u**3 + 1/6*u**2 - 1/6*u**4 + 2/3*u.
-u*(u - 1)*(u + 1)*(u + 4)/6
Let 0*l**4 + 0*l + 1/4*l**5 + 0 - 3/4*l**3 - 1/2*l**2 = 0. What is l?
-1, 0, 2
Let l = -1 + 5. Suppose 4*m**2 + 3*m + l*m**3 + 12 - 8*m - 15*m = 0. Calculate m.
-3, 1
Let p(r) be the second derivative of -3/10*r**5 + 0 + 0*r**2 - 1/63*r**7 - 1/9*r**6 - 6*r - 7/18*r**4 - 2/9*r**3. What is v in p(v) = 0?
-2, -1, 0
Let r(y) be the third derivative of y**7/2100 + y**6/225 + y**5/100 + y**3/6 - 14*y**2. Let j(q) be the first derivative of r(q). Suppose j(f) = 0. Calculate f.
-3, -1, 0
Factor 0*d - 2/5*d**3 + 0 - 8/5*d**4 + 0*d**2.
-2*d**3*(4*d + 1)/5
Let a(c) be the third derivative of c**5/50 + 25*c**4/8 + 31*c**3/5 - 384*c**2. Factor a(k).
3*(k + 62)*(2*k + 1)/5
Solve -524 + 504 + 12*k**2 + 86*k + 6*k**2 = 0.
-5, 2/9
Let t(i) be the first derivative of 2*i**3 + i**2 - 4*i - 3. Let o be t(-3). Let 22*v**3 + 19*v + o*v**2 + 2 + 14*v**3 - 2*v = 0. Calculate v.
-1/2, -2/9
Suppose -2*o - 2*q = 6, 3*q - 5 + 28 = 4*o. Suppose -2*h = -6*h, 0 = 4*z - 3*h. Factor c**4 + 2*c**o - 4*c**3 - c**3 + 2*c**3 + z*c**3.
c**2*(c - 2)*(c - 1)
Determine f so that 2/3*f**2 - 28/3*f - 64/3 = 0.
-2, 16
Let l(v) be the third derivative of 5/2*v**3 + 0*v + 6*v**2 + 1/12*v**5 + 5/6*v**4 + 0. Solve l(y) = 0 for y.
-3, -1
Let o(z) be the first derivative of -6 + 0*z + 0*z**2 - 1/33*z**3 + 1/44*z**4. Find p such that o(p) = 0.
0, 1
Let w(i) be the second derivative of i**5/5 - 7*i**4 + 80*i**3 - 416*i**2 + 2*i - 35. Factor w(c).
4*(c - 13)*(c - 4)**2
Determine v, given that 20*v**2 + v - 8*v**2 - 6*v**2 - 5*v**2 = 0.
-1, 0
What is o in -8/3 + 2/15*o**4 + 8/15*o + 2*o**2 - 16/15*o**3 = 0?
-1, 2, 5
Let c(a) = -6*a**4 - 84*a**3 + 174*a**2 + 24*a - 270. Let t(z) = z**4 + 17*z**3 - 35*z**2 - 5*z + 54. Let j(o) = 4*c(o) + 21*t(o). Factor j(p).
-3*(p - 3)**2*(p - 2)*(p + 1)
Let x = -47 + 35. Let h be (2/x)/((-45)/20 + 2). Suppose -2/3*u**3 - 2/3*u**2 + h*u + 2/3 = 0. Calculate u.
-1, 1
Let y = 1165 - 1161. Let f(i) be the second derivative of 1/66*i**y + 0 + 12*i + 10/33*i**3 + 25/11*i**2. Determine s, given that f(s) = 0.
-5
Let d(z) be the second derivative of -z**5/25 - 3*z**4/5 - 16*z**3/15 + 11*z + 18. Factor d(t).
-4*t*(t + 1)*(t + 8)/5
Let u(j) = -36*j**3 - 33*j**2 + 39*j - 6. Let s(v) = v**3 + v**2. Suppose -4*n = -5*g + 3, -4*n = 4*g + n + 14. Let h(l) = g*u(l) - 18*s(l). Factor h(p).
3*(p - 1)*(p + 2)*(6*p - 1)
Let l(c) be the second derivative of -c**4/6 - c**3 - 2*c**2 + 55*c. Find j such that l(j) = 0.
-2, -1
Let r(a) = a**3 - a. Let b = 25 - 4. Let v be (-3)/(-9) + b/(-9). Let c(h) = -4*h**3 - 4*h**2. Let j(l) = v*r(l) - c(l). Solve j(z) = 0.
-1, 0
Let f(b) be the first derivative of -b**7/105 + b**5/50 + 10*b + 9. Let g(v) be the first derivative of f(v). Factor g(r).
-2*r**3*(r - 1)*(r + 1)/5
Suppose -12*f + 118 = 22*f + 25*f. Solve 1/2*s**f + 3*