0/13*d - 4/13 - 4/13*d**n = 0.
-2, -1/2
Let o(y) be the third derivative of y**5/300 - 17*y**4/60 + 289*y**3/30 + 31*y**2. Find c such that o(c) = 0.
17
Suppose -5*v - 5*h = -3*v, -5*v = -h. Let p(j) be the second derivative of -j + 0*j**3 + 6*j**2 + 3/20*j**5 + v - 3/4*j**4. Determine m, given that p(m) = 0.
-1, 2
Suppose -78 = -p + 12. Let v be (-4)/18 + 290/p. Solve 3*h**2 - 2*h**2 - 2*h**2 + 5*h**3 + h**v - 8*h**4 = 0.
0, 1/4, 1/2
Let y(i) be the third derivative of -i**8/84 - i**7/15 - i**6/10 + 2*i**5/15 + 2*i**4/3 + i**3 - 4*i**2 - 9. What is u in y(u) = 0?
-3/2, -1, 1
Let b(o) = -14*o**2 - 243*o + 252. Let d(v) = -12*v**2 - 244*v + 252. Let l(j) = -4*b(j) + 5*d(j). Suppose l(g) = 0. Calculate g.
-63, 1
Let z(c) be the first derivative of 1/40*c**5 - 1/120*c**6 + 0*c**2 + 0*c - 6 + 0*c**4 - 1/3*c**3. Let r(g) be the third derivative of z(g). Factor r(m).
-3*m*(m - 1)
Suppose 0 = 5*n - 0*n - 25. Suppose 0 = n*a + 5*d - 10, 5*d + 4 + 2 = 3*a. What is r in 6*r + 0*r**a + 9*r - r**2 - 4 - 11*r = 0?
2
Let m(q) be the first derivative of 0*q + 40/21*q**3 + 1/7*q**2 + 15. Factor m(j).
2*j*(20*j + 1)/7
Let v(y) = y**2 + 20*y + 39. Let s be v(-18). Let g(d) be the first derivative of 1/6*d**s + 3 + 1/2*d**2 + 1/2*d. Factor g(j).
(j + 1)**2/2
Let w(n) = 2*n**4 - 9*n**3 + 15*n**3 + 5*n**2 - 16*n**3 - 2*n + 6 - n**2. Let z(v) = v**4 - v**3 - v + 1. Let l(h) = -w(h) + 6*z(h). Solve l(t) = 0 for t.
-1, 0, 1
Let c(d) be the first derivative of d**4/4 + 133*d**3/12 + 527*d**2/4 - 867*d/4 - 300. Suppose c(q) = 0. Calculate q.
-17, 3/4
Let m(k) be the third derivative of k**8/1008 - k**7/210 - k**6/360 + k**5/60 - 16*k**2. Let m(p) = 0. Calculate p.
-1, 0, 1, 3
Factor 11 - 367*n + 5*n**2 - 1 + 382*n.
5*(n + 1)*(n + 2)
Let t be 2*-1*1/(-2)*3. Suppose t*h + h = -f + 4, -f = -h + 6. Determine j, given that 0 - 1/2*j**h - 1/4*j - 1/4*j**3 = 0.
-1, 0
Suppose 0 = -45*q + 8*q + 37. Let n(y) be the first derivative of q + 4/5*y**3 + 0*y + 3/20*y**4 + 6/5*y**2. Determine g so that n(g) = 0.
-2, 0
Let b(u) be the second derivative of 3*u**5/20 - u**4 + 5*u**3/2 - 3*u**2 + 2*u + 58. Factor b(o).
3*(o - 2)*(o - 1)**2
Suppose w - z - 5 = 0, 0 = 2*w + 3*z + z + 8. Factor -2*p**4 - 3 - 2*p**3 + p + 4*p**w + 1 + 0*p**3 + 3*p**5 - 2*p**5.
(p - 2)*(p - 1)**2*(p + 1)**2
Let g(n) be the first derivative of n**5/20 + 13*n**4/36 + 13*n**3/18 + n**2/2 + 14*n + 21. Let k(q) be the first derivative of g(q). Factor k(j).
(j + 1)*(j + 3)*(3*j + 1)/3
Let g(b) be the second derivative of 0 + 2/15*b**6 - 8*b**2 - b**5 + 10/3*b**3 + b**4 - 10*b. Factor g(l).
4*(l - 4)*(l - 1)**2*(l + 1)
Let b be 2300/1265 - (-4)/22. Factor -4/5*g**b + 0 + 4/5*g**3 - 1/5*g**4 + 0*g.
-g**2*(g - 2)**2/5
Let z(c) be the third derivative of c**6/120 - c**5/12 + c**4/24 + 7*c**3/6 + 8*c**2. Let q be z(5). Find h such that h**3 - q*h**2 + 3*h**3 + 22*h - 14*h = 0.
0, 1, 2
Let t = 3577/5822 - 55/82. Let o = 221/142 + t. Find l, given that 1/2 - 1/4*l - 2*l**2 + 1/4*l**3 + o*l**4 = 0.
-1, -2/3, 1/2, 1
Suppose 0 = -3*g + 4*a - 47, -2*g - 3*a = g + 33. Let l = -9 - g. Factor 3*s**2 + l*s + 2*s**4 - 3*s**4 - 2*s + 0*s**2.
-s*(s - 2)*(s + 1)**2
Let c(q) be the second derivative of q**6/1620 - q**5/270 + q**4/108 + 7*q**3/6 - 38*q. Let u(r) be the second derivative of c(r). Let u(p) = 0. Calculate p.
1
Suppose 0*d - 165 = -3*d. Let k be 2/8 + d/20. Suppose -6*u**2 - 2*u**5 + 9 + 9*u - 3 - 14*u**k + 2*u**3 + 5*u**5 = 0. What is u?
-1, 1, 2
Let u(q) be the first derivative of -q**5/4 - 5*q**4/4 - 5*q**3/4 + 127. Factor u(z).
-5*z**2*(z + 1)*(z + 3)/4
Factor 0 + 2*i**2 + 12/13*i + 16/13*i**3 + 2/13*i**4.
2*i*(i + 1)**2*(i + 6)/13
Let n = -12 + 14. Let t = -3 + 3. Let z**5 + t*z**5 - 2*z**4 + 4*z**3 - n*z - 2*z**5 + 2*z**2 - z = 0. What is z?
-3, -1, 0, 1
Let g(p) be the third derivative of p**10/37800 + p**9/15120 - p**8/2520 - 19*p**5/60 - 30*p**2. Let h(z) be the third derivative of g(z). Factor h(b).
4*b**2*(b - 1)*(b + 2)
Let b(x) = -7*x + 4 + 5*x**2 - 2*x**2 + 4*x**2 - 6*x**2. Let s be b(7). What is u in 2*u**4 - 4*u**s + 19*u**3 - 15*u**3 = 0?
0, 2
Factor 87*a**2 - 108*a - 2*a**3 - 41 + 158 - 120*a**2 + 126.
-(a + 9)**2*(2*a - 3)
Let w(q) be the first derivative of q**6/9 - 26*q**5/75 - 31*q**4/30 + 2*q**3/9 + 26*q**2/15 + 16*q/15 - 115. Suppose w(y) = 0. Calculate y.
-1, -2/5, 1, 4
Let r(m) be the third derivative of 0*m + 0 + 5/24*m**4 + 4/3*m**5 - 5/8*m**6 + 9*m**2 - 5/3*m**3. Suppose r(k) = 0. Calculate k.
-1/3, 2/5, 1
Let s(r) be the second derivative of -1/12*r**4 + r + 5/9*r**3 + 0 - 1/2*r**2. Factor s(n).
-(n - 3)*(3*n - 1)/3
Suppose 5*y - 237 = -222. Determine s, given that -16/11*s - 2/11*s**y + 32/11 - 14/11*s**2 = 0.
-4, 1
Factor -16/3*n + 64/3 + 1/3*n**2.
(n - 8)**2/3
Let m = 3627 + -3622. Find p such that -5/4*p**3 + 0 + m*p**2 + 0*p = 0.
0, 4
Suppose -y + 8 = -4*w, -w + 13 = y - 0*w. Let x be 8/y*(207/15 + -3). Find f such that -16/5 + 16/5*f + x*f**2 - 36/5*f**3 = 0.
-2/3, 2/3, 1
Let d(u) be the first derivative of -u - 5/9*u**3 + 7/6*u**2 + 1/12*u**4 + 6. Factor d(a).
(a - 3)*(a - 1)**2/3
Suppose -175*l - 6 = -177*l. Let h(o) be the third derivative of 1/33*o**3 - 1/66*o**4 + 1/330*o**5 - l*o**2 + 0*o + 0. Factor h(q).
2*(q - 1)**2/11
Let r(l) be the first derivative of 4/15*l**3 + 4 + 0*l**2 - 16/5*l. Suppose r(a) = 0. What is a?
-2, 2
Let t(u) be the first derivative of u**7/168 + 5*u**6/72 + 7*u**5/24 + 5*u**4/8 - 5*u**3 - 8. Let a(f) be the third derivative of t(f). Factor a(s).
5*(s + 1)**2*(s + 3)
Let x = 10268 - 10266. What is j in -6/7*j**x + 60/7 - 54/7*j = 0?
-10, 1
Let n be ((-2)/96)/((-36)/72). Let a(o) be the third derivative of 1/60*o**5 - 1/60*o**6 + 2*o**2 + 0*o + 0*o**3 + n*o**4 + 0. Factor a(u).
-u*(u - 1)*(2*u + 1)
Let o(u) be the second derivative of u**8/336 + u**7/105 - u**6/40 - u**2/2 - 2*u. Let r(x) be the first derivative of o(x). Factor r(p).
p**3*(p - 1)*(p + 3)
Let b(k) be the second derivative of -k**4/12 - k**3/6 - k**2/8 - 86*k. What is n in b(n) = 0?
-1/2
Let q(h) be the first derivative of 0*h + 7/27*h**6 + 44/45*h**5 + 20/27*h**3 + 29 + 4/3*h**4 + 1/9*h**2. Factor q(c).
2*c*(c + 1)**3*(7*c + 1)/9
Let w(o) = o**2 - 2*o + 2. Let x be w(2). Suppose -8 = -6*n + x*n. Let j**2 + 10 + n*j - 17 + 8 = 0. What is j?
-1
Let z(w) = -11*w - 2. Let g be z(-2). Suppose 3*a - 4*x = -7, -x + g = 3*a + 7. Find o such that a*o**5 + o**2 + 2*o**2 - 6*o**4 - 2*o + 3*o**2 - o = 0.
-1, 0, 1
Factor 0*b + 0 + 16/7*b**2 + 4/7*b**3.
4*b**2*(b + 4)/7
Let j(s) be the third derivative of s**6/600 + s**5/25 + 11*s**4/120 - s**2 - 60*s. Find z such that j(z) = 0.
-11, -1, 0
Suppose 7*r - 24 = -3. Solve 181*h**4 + 7*h**r - 193*h**4 + 3*h**5 + 5*h**3 = 0.
0, 2
Suppose 0 = -2*f - 0 + 4, -5*j = -f + 2. Let c = 148 + -146. Let 0*h + j*h**c - 2/9*h**3 - 2/9*h**4 + 0 = 0. What is h?
-1, 0
Let j(a) be the third derivative of a**10/378000 - a**9/37800 + a**8/12600 + 3*a**5/20 + 9*a**2. Let p(x) be the third derivative of j(x). Solve p(d) = 0.
0, 2
Let m(r) be the second derivative of -r**7/63 + r**6/45 + r**5/15 - 2*r - 128. Factor m(w).
-2*w**3*(w - 2)*(w + 1)/3
Factor -12 - 326/5*o + 22/5*o**2.
2*(o - 15)*(11*o + 2)/5
Let o = -500 + 502. Factor -1/3*a**o - 1/3 + 2/3*a.
-(a - 1)**2/3
Let w(p) = -p**2 + 12*p - 15. Let b be w(7). Factor 10*r**4 - 6*r**2 - 10*r**2 + 2*r**3 - 17*r**3 + 5*r**5 - b*r - 24*r**2.
5*r*(r - 2)*(r + 1)**2*(r + 2)
Let w(s) = -s**4 - s**3 - 5*s**2 - 7*s + 6. Let b(l) = -l**4 - l**3 + l**2 - l. Let i(q) = 4*b(q) - w(q). Factor i(j).
-3*(j - 1)**2*(j + 1)*(j + 2)
Let z(b) be the first derivative of 3*b**2 + 10*b + 1. Let h be z(-1). Determine o so that -2/3*o**3 + 2/3*o + 1/3*o**h - 1/3*o**2 + 0 = 0.
-1, 0, 1, 2
What is q in -19*q + 233*q**2 + 78 + 285*q**2 - 517*q**2 = 0?
6, 13
Factor -10/7*m**3 + 2/7*m**4 + 0 - 92/7*m**2 - 80/7*m.
2*m*(m - 10)*(m + 1)*(m + 4)/7
Solve 0*s + 1/4*s**5 + 1/4*s**2 - 1/4*s**3 + 0 - 1/4*s**4 = 0 for s.
-1, 0, 1
Let k = 340/9 + -653/18. Factor 1 - 3/2*z - 1/2*z**4 - 1/2*z**2 + k*z**3.
-(z - 2)*(z - 1)**2*(z + 1)/2
Solve 10*d**2 - 108 - 60*d + 9*d**2 + 9*d**2 - 31*d**2 = 0.
-18, -2
Suppose 16*w = 17*w + 18. Let z be ((-4)/(-5))/(w/(-15)). Factor 2/3*v**4 + 0 - 2/3*v**2 - 2/3*v + z*v**3.
2*v*(v - 1)*(v + 1)**2/3
Suppose -3*p = 45 - 33, 0 = -5*r + 3*p 