 -1*3*5/(-225). Let i(c) be the second derivative of -1/75*c**6 - w*c**3 + 0 - 3/50*c**5 + 4*c + 0*c**2 - 1/10*c**4. Factor i(a).
-2*a*(a + 1)**3/5
Let t(y) = y - 10. Let f be t(6). Let i be (-207)/(-63) - f/(-14). Factor -3*l - 6 + 3*l**i + 9*l**2 - 4 + 4 - 3*l**4.
-3*(l - 2)*(l - 1)*(l + 1)**2
Let m(f) be the first derivative of f**4/18 - 2*f**3/9 - f**2 + 28*f + 27. Let t(w) be the first derivative of m(w). Factor t(c).
2*(c - 3)*(c + 1)/3
Let u(s) be the first derivative of 17*s**4/18 - 98*s**3/27 + 28*s**2/9 + 8*s/9 - 100. Determine c so that u(c) = 0.
-2/17, 1, 2
Let z(n) be the first derivative of -51/10*n**2 - 9/5*n - 1/4*n**4 - 10 - 31/15*n**3. Factor z(f).
-(f + 3)**2*(5*f + 1)/5
Suppose -79*v = 13*v - 368. Let a(z) be the first derivative of 3/8*z**2 + 1/12*z**3 - 1/2*z + 1/20*z**5 - 3/16*z**v - 12. Determine w so that a(w) = 0.
-1, 1, 2
Factor l**4 + 216 + 192*l**2 - 72*l**2 + 162*l - 3*l**4 - 46*l**2 - 56*l**2 - 10*l**3.
-2*(l - 4)*(l + 3)**3
Let h(f) = 5*f**3 - 2*f**2 + 8. Let d be h(5). Let j be d/159 + ((-2)/(-6))/1. Find u such that 3/2*u**2 - 1/4 - 2*u**3 + 0*u + 3/4*u**j = 0.
-1/3, 1
Let o(a) be the second derivative of -a**6/20 - 3*a**5/20 - a**4/8 + 165*a. Let o(t) = 0. Calculate t.
-1, 0
Let l = -5626/7 - -804. Let j(m) be the first derivative of 0*m**2 + 2 + l*m - 2/21*m**3. Factor j(i).
-2*(i - 1)*(i + 1)/7
Let z be 5/(-2)*(-176)/40. Suppose 2*x - z = -5. Factor -x + 2*p**2 - 3 - 3 + 6*p - 3*p**2.
-(p - 3)**2
Let o(g) be the second derivative of -g**5/80 + 71*g**4/16 - 5041*g**3/8 + 357911*g**2/8 - 2*g + 191. Factor o(y).
-(y - 71)**3/4
Let k(t) be the first derivative of t**7/504 - t**6/54 + t**5/24 + 7*t**3/3 - 16. Let l(n) be the third derivative of k(n). Factor l(h).
5*h*(h - 3)*(h - 1)/3
Let y(a) be the second derivative of -a**7/504 - a**6/72 - a**5/24 - 11*a**4/6 - 15*a. Let i(n) be the third derivative of y(n). Find l, given that i(l) = 0.
-1
Let 54872/3 + 1444*u + 38*u**2 + 1/3*u**3 = 0. Calculate u.
-38
Suppose -5*z = 2*j - 28, 2*j + j + z - 16 = 0. Let h(n) be the second derivative of n + 0*n**2 - 1/10*n**5 - 1/3*n**j + 0 - 1/3*n**3. Factor h(g).
-2*g*(g + 1)**2
Suppose 6 - 9/2*f**2 - 21/8*f**3 + 3/2*f - 3/8*f**4 = 0. Calculate f.
-4, -2, 1
Let j = -43 + 72. Determine d, given that 32*d + d**2 - 3*d**2 - j*d - d**3 = 0.
-3, 0, 1
Suppose 0 = -2*a - 2*a + 4. Let n = a + -1. Find f such that 1/4*f**2 + 1/4*f + n = 0.
-1, 0
Let t(o) = -o**3 + 5*o - 7. Let d be t(-3). Let s(c) be the second derivative of 0 - 3/20*c**d + 0*c**2 + 1/10*c**6 + 2*c - 1/4*c**4 + 1/2*c**3. Factor s(q).
3*q*(q - 1)**2*(q + 1)
Let f be 7 - ((-438)/(-84) + 12/42). Suppose -4*x + 2*k = -19 + 5, -3*k + 1 = 5*x. Factor 3/2*d + f*d**x + 0.
3*d*(d + 1)/2
Let i = 1/8 - -1/56. Suppose y - 2*y = 3*y. Find v such that i*v**3 + 0*v - 2/7*v**2 + y = 0.
0, 2
Solve -96/7 + 4/7*z**4 - 4*z**3 - 52/7*z**2 + 172/7*z = 0 for z.
-3, 1, 8
Let q(h) be the first derivative of h**5/48 + h**4/48 - 6*h**2 + 37. Let o(u) be the second derivative of q(u). Determine x, given that o(x) = 0.
-2/5, 0
Let s be (-10)/(-12)*(-384)/(-240). Factor 4/3*c**2 - s + 0*c.
4*(c - 1)*(c + 1)/3
Let r be 11 + -1 + (-25 - -18). Let o(k) be the first derivative of -1/9*k**2 - 4/27*k**3 - r - 1/18*k**4 + 0*k. Find t, given that o(t) = 0.
-1, 0
Suppose 0 = -12*s + 2 + 46. Let h(q) be the first derivative of 0*q**2 - 8/9*q - 7 - 1/18*q**s + 2/9*q**3. Factor h(r).
-2*(r - 2)**2*(r + 1)/9
Suppose 123/4*w - 13/4*w**3 + 11/2 - 33*w**2 = 0. Calculate w.
-11, -2/13, 1
Let h = 403 - 400. Suppose 4/17*u**h - 2/17 + 2/17*u**5 + 6/17*u**4 - 6/17*u - 4/17*u**2 = 0. Calculate u.
-1, 1
Let c(n) = 109*n + 4363. Let b be c(-40). Factor -2*t**2 - t + 1/2*t**4 + t**b + 3/2.
(t - 1)**2*(t + 1)*(t + 3)/2
Let r = -7 + 1. Let q(g) = g**3 + 6*g**2 - 3*g - 15. Let d be q(r). Suppose l - 2*l**2 + l**d - 3*l + 2 + 0 + l = 0. What is l?
-1, 1, 2
Let n(o) be the third derivative of -1/84*o**4 - 1/70*o**5 + 0 + 0*o**3 + 0*o + 11*o**2 - 1/210*o**6. Factor n(h).
-2*h*(h + 1)*(2*h + 1)/7
Let x(c) be the third derivative of -c**7/5040 + c**6/2160 + c**5/360 + 3*c**3/2 - 3*c**2. Let v(y) be the first derivative of x(y). What is h in v(h) = 0?
-1, 0, 2
Let u = -244 + 247. Factor 2/7 + 1/7*z**5 + 2/7*z**2 + 4/7*z**u - 4/7*z**4 - 5/7*z.
(z - 2)*(z - 1)**3*(z + 1)/7
Let p(n) be the second derivative of n**7/441 + 2*n**6/315 - n**5/105 - 4*n**4/63 - n**3/9 - 2*n**2/21 + 183*n - 1. Factor p(y).
2*(y - 2)*(y + 1)**4/21
Suppose 2*o + 7*f + 60 = 3*f, -5 = 5*f. Let i = o - -200/7. Let 0 - 4/7*r**2 + 2/7*r**5 + 0*r**3 + i*r**4 - 2/7*r = 0. Calculate r.
-1, 0, 1
Factor 3/4*a**3 + 0 + 1/4*a**4 + 3/4*a**2 + 1/4*a.
a*(a + 1)**3/4
Let b(t) = t**3 - 4*t**2 + 2*t - 3. Let i = 18 + -14. Let d be b(i). Factor -3*n**4 - 1 + 1 + 3*n**d + 5*n**4.
n**4*(3*n + 2)
Let l = 135115/4 + -33760. Solve -l - 3/4*i**2 - 15/2*i = 0.
-5
Let l(y) be the first derivative of y**6/60 - 2*y**5/15 + y**4/3 - 4*y**2 - 14. Let n(q) be the second derivative of l(q). Factor n(p).
2*p*(p - 2)**2
Let d(v) be the third derivative of -v**9/45360 + v**7/3780 - v**5/360 + v**4/3 + 11*v**2. Let j(z) be the second derivative of d(z). Let j(r) = 0. What is r?
-1, 1
Suppose -2*x = 3*q - 4*x + 45, 5*q + 75 = 3*x. Let h be 4 - 5/(q/(-12)). Find l such that -4*l - 5*l**2 + 8*l**2 + h*l**2 + 1 = 0.
1/3, 1
Let u(x) be the third derivative of 0 + 25/24*x**3 - 6*x**2 + 5/48*x**4 + 0*x + 1/240*x**5. Let u(q) = 0. What is q?
-5
Let w(t) be the second derivative of t**7/168 + t**6/120 - 9*t**5/80 - t**4/48 + 5*t**3/6 - 3*t**2/2 - 384*t. Determine b so that w(b) = 0.
-3, -2, 1, 2
Let f(l) be the first derivative of l**3 - 288*l**2 - 579*l - 449. What is z in f(z) = 0?
-1, 193
Let s(y) be the second derivative of -y**5/60 + 5*y**4/36 + y**3/18 - 5*y**2/6 + 2*y + 55. Let s(p) = 0. Calculate p.
-1, 1, 5
Let p(n) = -2*n**4 - 46*n**3 - 6*n**2 + 554*n + 790. Let u(y) = y**4 + y**3 - y**2 + y - 1. Let t(x) = p(x) + 6*u(x). Let t(a) = 0. What is a?
-2, 7
Let h(t) = -35*t**2 - 38*t + 2. Let q(v) = -17*v**2 - 19*v. Let n(z) = -2*h(z) + 5*q(z). Determine l, given that n(l) = 0.
-1, -4/15
Suppose 0 = -y - 2*y - 6. Let k be (-1 + 0 - y) + 1. Determine q, given that -5 + 16*q**k + 8*q + 9 + 16*q + 5 = 0.
-3/4
Suppose -148/5*m - 104/5 + 12/5*m**2 = 0. Calculate m.
-2/3, 13
Suppose 0 = -b - 13*b + 70. Let m be (-16)/(-80) + (-1)/b. What is s in -4/5*s**2 + 0*s - 6/5*s**3 + m + 2/5*s**5 + 0*s**4 = 0?
-1, 0, 2
Let p(h) be the third derivative of -h**6/200 + 9*h**5/20 + h**4/40 - 9*h**3/2 - 80*h**2 - 3*h. Factor p(s).
-3*(s - 45)*(s - 1)*(s + 1)/5
Suppose t - 2 - 3 = 0. Factor 0*q**3 - 2*q - q**3 - 33*q**2 + 11*q - t + 30*q**2.
-(q - 1)**2*(q + 5)
Let m(w) be the first derivative of 42 - 40/7*w**2 + 25/42*w**6 + 16/7*w + 88/21*w**3 - 19/7*w**5 + 16/7*w**4. What is i in m(i) = 0?
-1, 2/5, 2
Let w = -6 - -11. Let z = 125182/281619 + -2/31291. Solve 0 + z*r**2 - 2/9*r**w + 2/9*r**3 + 0*r - 4/9*r**4 = 0.
-2, -1, 0, 1
Let p(f) be the first derivative of -f**5 + 15*f**3 - 88. Solve p(q) = 0 for q.
-3, 0, 3
Let b = 39 + -35. Suppose -5 = b*o - 9. Find i such that -o + 19*i - 19*i + i**2 = 0.
-1, 1
Let y(b) be the third derivative of -1/245*b**7 + 17*b**2 + 0*b**6 + 1/70*b**5 + 1/784*b**8 + 0*b**3 + 0*b + 0 - 1/56*b**4. Factor y(r).
3*r*(r - 1)**3*(r + 1)/7
Let d be ((-32)/12 + (-1)/(-1))*-9. Let m be ((-18)/d)/(9/(-15)). Factor -1/4*t - 1/2 + 1/4*t**3 + 1/2*t**m.
(t - 1)*(t + 1)*(t + 2)/4
Let g(f) be the first derivative of -f**4/84 - 2*f**3/21 + f + 3. Let b(q) be the first derivative of g(q). Factor b(p).
-p*(p + 4)/7
Let a = -2586 - -7760/3. Let 1/6*o**2 + 2/3 - a*o = 0. Calculate o.
2
Let r(p) be the third derivative of p**6/120 - 13*p**5/20 + 169*p**4/8 - 2197*p**3/6 - 73*p**2 - 2. Find c, given that r(c) = 0.
13
Let p(n) = -20*n**3 + 590*n**2 + 15*n - 15. Let q(b) = 5*b**3 - 148*b**2 - 4*b + 4. Let v(c) = -4*p(c) - 15*q(c). Factor v(w).
5*w**2*(w - 28)
Suppose 28 = -5*f - 2*r, 3*r + 16 = -3*f + 2*r. Let d be (((-2)/(f/2))/(-1))/(-5). Factor 0*c - d*c**2 - 1/5*c**4 + 0 - 2/5*c**3.
-c**2*(c + 1)**2/5
Let n(m) be the third derivative of -m**8/1008 + m**7/126 - m**6/72 - m**5/36 + m**4/12 + 244*m**2. Find x such that n(x) = 0.
-1, 0, 1, 2, 3
Let j(w) be the first derivative of w**5/10 - w**4/2 - w**3/2 + 