*d**3 + 1/5*d - 1/5*d**4 + 1/5*d**q + 0 = 0 for d.
-1, 0, 1
Let f = 9 + -8. Let w be f/2 - 9/(-6). What is p in 4*p**4 - p**3 - p - 3*p**2 + 2*p - p**w = 0?
-1, 0, 1/4, 1
Let j(d) be the second derivative of d**4/3 - 44*d**3/3 + 242*d**2 + 8*d. Factor j(k).
4*(k - 11)**2
Let l = 77/34 + -30/17. Let z(k) be the second derivative of 0 + 2*k + l*k**2 - 7/12*k**3 + 5/24*k**4. Solve z(x) = 0.
2/5, 1
Let n(z) be the third derivative of z**8/1008 + 2*z**7/315 + z**6/60 + z**5/45 + z**4/72 - 5*z**2. Factor n(p).
p*(p + 1)**4/3
Suppose 5*f + 10 = -2*k - 2*k, 2*k + f + 2 = 0. Determine n so that k + 2/9*n**5 - 2/9*n**3 - 2/9*n**4 + 2/9*n**2 + 0*n = 0.
-1, 0, 1
Suppose -5*t + 5*o = -10, -5*o - 8 - 2 = 0. Let w be 2/3*(-6)/(-2). Let t*c + 2 - 3 + 2*c - c**w = 0. What is c?
1
Let o = -16 - -18. Let a(t) be the second derivative of 0 - 2*t + 0*t**3 + 0*t**o + 1/40*t**5 + 1/60*t**6 + 0*t**4. Find k such that a(k) = 0.
-1, 0
Factor 4/3*g**2 + 20/3*g - 8.
4*(g - 1)*(g + 6)/3
What is k in 3*k**5 + 21*k**2 + 500 - 500 + 6*k + 15*k**4 + 27*k**3 = 0?
-2, -1, 0
Let g be (-6)/(-27) - (-382)/(-18). Let c be (g/9 - -3)*7. Factor -4/3 + c*p**2 + 10/3*p.
2*(p + 1)*(7*p - 2)/3
Factor 4*t**2 - 2*t**3 - 19 - 2*t**4 + 19.
-2*t**2*(t - 1)*(t + 2)
Let z(a) be the third derivative of a**8/10080 - a**6/1080 + a**4/8 + 4*a**2. Let m(o) be the second derivative of z(o). Factor m(x).
2*x*(x - 1)*(x + 1)/3
Let q = -114 + 116. Let f(z) be the first derivative of 0*z - 2 - 1/12*z**3 + 1/16*z**4 + 0*z**q. Determine x, given that f(x) = 0.
0, 1
Factor -1/4*o**4 - 3/2*o**3 - 5/2*o - 3*o**2 - 3/4.
-(o + 1)**3*(o + 3)/4
Let a(p) be the first derivative of -p**7/1260 - p**6/540 + p**5/180 + p**4/36 + p**3/3 + 6. Let f(l) be the third derivative of a(l). What is c in f(c) = 0?
-1, 1
Let r(b) be the second derivative of -b**4/6 - b**3/3 + 2*b**2 - 2*b. Find c such that r(c) = 0.
-2, 1
Let t(j) be the second derivative of 7/6*j**5 + 0 + 4/3*j**2 + 22/9*j**4 + 17/60*j**6 + j + 1/36*j**7 + 8/3*j**3. Factor t(k).
(k + 1)*(k + 2)**3*(7*k + 2)/6
Suppose 0 = u + 3 - 7. Factor j**3 - 2*j + 0*j**2 - 3*j**3 + 0*j**2 - u*j**2.
-2*j*(j + 1)**2
Let m = 5 + -4. Determine d, given that -m - d + 3*d**3 - 2*d + d**3 = 0.
-1/2, 1
Factor 2*y - 1/3 - 14/3*y**2 + 16/3*y**3 + 2/3*y**5 - 3*y**4.
(y - 1)**4*(2*y - 1)/3
Let g(t) = 2*t**3 - 4*t**2 + 3*t - 4. Let x be g(2). Factor 0 + 2/7*j**x + 0*j.
2*j**2/7
Let z be (-5)/(-7) + 6/21 - -3. Solve 5/3*l**2 - 1/3 - l - 4/3*l**z + l**3 = 0 for l.
-1, -1/4, 1
Let k(h) be the second derivative of h**7/2940 - h**6/630 - h**3/2 + 6*h. Let y(c) be the second derivative of k(c). Solve y(o) = 0 for o.
0, 2
Let u be 51*-2*3/(-99). Let i = 157/33 - u. Factor -i*v + 1/3 + 4/3*v**2.
(v - 1)*(4*v - 1)/3
Suppose 2*t = -0*t + n + 9, t + n = -3. Let l(v) be the first derivative of -2/15*v**3 + t - 2/5*v - 2/5*v**2. Factor l(z).
-2*(z + 1)**2/5
Suppose -4*f - 2*n + 16 = -16, -f + 3*n = 6. Let r(v) be the first derivative of 0*v + 0*v**4 - 3 - 4/9*v**3 + 4/15*v**5 - 1/3*v**2 + 1/9*v**f. Factor r(l).
2*l*(l - 1)*(l + 1)**3/3
Suppose 0 = 3*l - 2*l - 6. Let z be 3/9 - (-2)/l. Factor 4/9 + 2/9*q**2 - z*q.
2*(q - 2)*(q - 1)/9
Suppose -3*p + 2*p - 2 = 0. Let q be (2/14)/(p/(-4)). Factor q*b + 4/7 - 2/7*b**2.
-2*(b - 2)*(b + 1)/7
Let f be 3/15 + (-4 - (-310)/75). Find o such that 0*o + f*o**2 - 1/3 = 0.
-1, 1
Let d be -2*8/(-14)*1. Let 4/7*b**5 + 0 + 0*b**3 - d*b**2 + 8/7*b**4 - 4/7*b = 0. Calculate b.
-1, 0, 1
Factor 1/2*i**2 + 1/2 + i.
(i + 1)**2/2
Let r(d) be the first derivative of 2*d**6/3 - 3*d**4 + 8*d**3/3 - 2. Find u such that r(u) = 0.
-2, 0, 1
Factor -2/5*h**3 + 0 + 1/10*h**4 + 1/2*h**2 - 1/5*h.
h*(h - 2)*(h - 1)**2/10
Let p be (-4)/2 - (-92)/3. Let a = 29 - p. Factor 0 + a*z + 1/3*z**2.
z*(z + 1)/3
Suppose -2*y - 20 = -3*b - 4*y, -4*b - 4*y + 32 = 0. Suppose 0 = b*g - 4 - 4. Solve o**2 - o**2 + 0*o**g - o**2 = 0 for o.
0
Let d(o) be the second derivative of 0 + 1/100*o**5 + 7*o - 1/60*o**4 - 1/15*o**3 + 0*o**2. Factor d(h).
h*(h - 2)*(h + 1)/5
Determine l, given that -20/11*l + 50/11 + 2/11*l**2 = 0.
5
Let k be 3/(-5) + (-92)/(-20). Let d(w) be the third derivative of 0*w - 1/210*w**5 - 1/21*w**3 + 0 + 3*w**2 - 1/42*w**k. Solve d(g) = 0.
-1
Let y(t) be the first derivative of 2*t**5/25 + t**4/5 - 9. Factor y(b).
2*b**3*(b + 2)/5
Let t(f) be the second derivative of f**6/18 + f**5/2 + 5*f**4/3 + 25*f**3/9 + 5*f**2/2 - 10*f. Factor t(l).
5*(l + 1)**3*(l + 3)/3
Let h = 132 + -56. Let l = -226/3 + h. Let l*t**2 - 1/3*t**5 + t + 1/3 - 2/3*t**3 - t**4 = 0. Calculate t.
-1, 1
Let u(x) = -x**3 + 6*x**2 - x - 16. Let o be u(5). Factor 0 + 2*b**o + 2/7*b**2 + 0*b - 6/7*b**5 - 10/7*b**3.
-2*b**2*(b - 1)**2*(3*b - 1)/7
Let c(k) be the second derivative of -k**7/21 + k**5/10 - 7*k. Determine i so that c(i) = 0.
-1, 0, 1
Let w(b) be the third derivative of 47/40*b**6 + b**3 + 14/5*b**5 - 4/35*b**7 + 0 - 2*b**2 - 1/7*b**8 + 0*b + 19/8*b**4. Determine i so that w(i) = 0.
-1, -1/4, 2
Let i(b) be the first derivative of 9*b**5/5 - 21*b**4/4 + 5*b**3 - 3*b**2/2 - 3. Suppose i(u) = 0. What is u?
0, 1/3, 1
Suppose 6*n - 6 = 3*n. Determine d, given that -4*d**2 + n*d**2 - 2 + d**2 + 3*d = 0.
1, 2
Let v(l) be the first derivative of 14*l**3/15 + 23*l**2/5 + 12*l/5 - 1. Factor v(t).
2*(t + 3)*(7*t + 2)/5
Suppose -2*n + 3*n = 0. Let x = 34/21 - 4/3. Suppose 0*p + n + 2/7*p**5 + 0*p**4 - x*p**3 + 0*p**2 = 0. Calculate p.
-1, 0, 1
Let h be 1/(3/9*3). Let m be -2 + (h - 1) + 6. Factor 2*g**3 - m*g**5 + 4*g**5 - 2*g**5.
-2*g**3*(g - 1)*(g + 1)
Let b(j) be the third derivative of j**9/60480 - j**8/10080 + j**7/5040 + j**5/15 + 2*j**2. Let h(t) be the third derivative of b(t). Factor h(u).
u*(u - 1)**2
Let s be (-6 + 6)/(-1*1). Suppose 2*b + 5 = 5*p + b, -5*b = -5*p - 15. Find o, given that s - 2/5*o - 2/5*o**3 + 4/5*o**p = 0.
0, 1
Let u(f) = -4*f**4 - 2*f**3 + 2*f. Let a(l) = -3*l + 0*l + l**2 + 2*l**3 + l + 5*l**4. Let o(m) = 2*a(m) + 3*u(m). Suppose o(x) = 0. Calculate x.
-1, 0, 1
Let f(m) be the third derivative of -m**6/240 - m**5/120 - 27*m**2. Factor f(c).
-c**2*(c + 1)/2
Let q(b) be the second derivative of 0 - 1/2*b**2 - 1/4*b**3 - 1/24*b**4 + 3*b. Factor q(f).
-(f + 1)*(f + 2)/2
Let -9*j**4 + 7*j**4 + 2*j**2 - 5*j**3 + 4*j - 4*j**3 + 5*j**3 = 0. Calculate j.
-2, -1, 0, 1
Let c be 7/(1365/186) - 4/26. Solve 2/5*i**2 - c - 2/5*i = 0 for i.
-1, 2
Factor -1/4*p**2 + 1/2*p - 1/4.
-(p - 1)**2/4
Let p = 20879/4 - 5321. Let o = 102 + p. Suppose 0*g**3 - 3/4*g**4 + 0*g - o + 3/2*g**2 = 0. What is g?
-1, 1
Let b = 259/76 - 60/19. Determine k, given that 1/4*k - 1/4*k**3 + 1/4*k**2 - b = 0.
-1, 1
Suppose -u - u = -5*u. Suppose u + 0*y - 2/5*y**4 + 2/5*y**2 + 0*y**3 = 0. What is y?
-1, 0, 1
Let a(t) be the second derivative of t**7/210 - t**6/75 - t**5/50 + 2*t**4/15 - 7*t**3/30 + t**2/5 - 2*t. Factor a(j).
(j - 1)**4*(j + 2)/5
Let t(s) be the second derivative of s**8/8960 + s**7/1120 - s**4/6 - 3*s. Let o(y) be the third derivative of t(y). Factor o(p).
3*p**2*(p + 3)/4
Let l be 2/6 + (-4)/12. Suppose l = 3*d + 15, -o - 8 - 6 = 4*d. What is i in -o*i**3 + i**3 + 4*i**3 + i**2 = 0?
0, 1
Let a(u) be the third derivative of 1/16*u**5 + 0*u**3 + 0*u - 1/32*u**4 - 1/40*u**6 + 6*u**2 + 0. What is t in a(t) = 0?
0, 1/4, 1
Let v(m) = -m**3 + m**2 + m + 2. Let s be v(0). Factor j**3 - 4 + 4*j**2 - 3*j**2 - 3*j**2 + 8*j - 3*j**s.
(j - 2)**2*(j - 1)
Let k(u) be the first derivative of -u**4/54 + u - 1. Let r(f) be the first derivative of k(f). What is l in r(l) = 0?
0
Let t = -14/109 - -1307/7630. Let o(a) be the third derivative of 2*a**2 + 0*a**4 + 0 - t*a**7 + 0*a - 7/120*a**6 + 0*a**3 + 1/30*a**5. Solve o(i) = 0.
-1, 0, 2/9
Let v(f) be the first derivative of 0*f + 5 - 2/3*f**3 - 2*f**2. Let v(d) = 0. Calculate d.
-2, 0
Let i(r) = 6*r**2 + 12*r + 1. Let p(g) = -3*g**2 - 6*g - 1. Let k(d) = -2*i(d) - 5*p(d). Suppose k(b) = 0. Calculate b.
-1
Let h(p) = p - 3. Let t be h(3). Suppose l - 2*l + 3 = 0, 1 = -4*f + 3*l. Determine v, given that 0*v + t*v - 2*v**2 + v**f = 0.
0
Determine q, given that 3*q**2 + q + q - q**3 + 0*q + 2*q**3 = 0.
-2, -1, 0
Factor 4*m**3 + 12 + 46*m + 29*m - 95*m + 4*m**2.
4*(m - 1)**2*(m + 3)
Let v(j) be the third derivative of 0 + 11*j**2 + j**3 + 0*j - 1/30*j**5 + 1/6*j**4. Determine n so tha