60)/420 - (-3)/((27/(-6))/(-3)). What is s in 3*s + 6/7*s**2 - 18/7*s**3 - 15/7*s**4 - d*s**5 + 9/7 = 0?
-3, -1, 1
Let q(f) = 18*f**2 - 36*f + 108. Let h(k) = k**2 + 1868*k - 1868*k. Let g(m) = -15*h(m) + q(m). Factor g(b).
3*(b - 6)**2
Let l(k) be the second derivative of k**7/315 - k**6/72 + k**5/60 + 11*k**4/12 - 9*k. Let c(a) be the third derivative of l(a). What is f in c(f) = 0?
1/4, 1
What is b in 53 + 3*b**2 - 10 + 14*b + 6 - 2*b**2 = 0?
-7
Suppose -5*o - 5*b = -95, -2*b + 83 = 5*o - 0*b. Suppose -10*l + o*l = 0. Determine y, given that y**2 + 1 - 1 + l = 0.
0
Let o = 40 - 31. Let f be (0/(-4))/2*3/o. Suppose -2/7*g**2 - 6/7*g + f = 0. What is g?
-3, 0
Let t be (455/(-25) - -17)*(-5)/3. What is h in -25/3 - 10/3*h - 1/3*h**t = 0?
-5
Let a be 0 - (-5 - (-2)/1). Let f be 3944/12 - 2/a. Factor 128*w**5 + 32*w**4 - 4 + 1 + 7 - 50*w + 214*w**2 - f*w**3.
2*(w - 1)*(w + 2)*(4*w - 1)**3
Let t = 2005 + -2001. Factor 0 - 2/17*z + 4/17*z**3 + 0*z**t + 0*z**2 - 2/17*z**5.
-2*z*(z - 1)**2*(z + 1)**2/17
Suppose 0 = -5*j - 29 + 44. Let b(y) be the third derivative of 0*y + 1/70*y**7 + j*y**2 - 3/40*y**6 + 3/8*y**4 + 1/20*y**5 + 0 - y**3. Factor b(d).
3*(d - 2)*(d - 1)**2*(d + 1)
Let x(q) = -q**2 + 8*q + 2. Suppose 4*f + 0*b = -4*b + 40, 0 = f - 4*b. Let m be x(f). Factor -20*g**5 + 8*g + 2 - m + 7*g**4 + 45*g**4 - 4*g**2 - 36*g**3.
-4*g*(g - 1)**3*(5*g + 2)
Let v(b) be the second derivative of -b**7/231 - 2*b**6/165 + 9*b**5/110 + b**4/33 - 8*b**3/33 - 10*b + 1. Solve v(j) = 0.
-4, -1, 0, 1, 2
Suppose 8 = -5*q + 2*f, 5*q + 0*f + 20 = 5*f. Suppose q = -4*u - 0*u + 8. Factor 4 + t**u - 9*t + 0 + 5*t.
(t - 2)**2
Let r(b) be the third derivative of -b**7/70 + b**5/10 - b**3/2 - 94*b**2 - 1. Find c, given that r(c) = 0.
-1, 1
Suppose 0 = h - 7*h + 186. Factor 30*d + 41*d**3 - 9*d**2 - h*d**2 + 45 - 5*d**4 - 71*d**3.
-5*(d - 1)*(d + 1)*(d + 3)**2
Let p(a) be the second derivative of a**7/4200 + a**6/1200 - a**4/12 - 2*a. Let v(m) be the third derivative of p(m). Factor v(i).
3*i*(i + 1)/5
Let -246/5*t**3 - 1324/15*t**2 - 16/5 - 472/15*t + 54/5*t**4 = 0. What is t?
-1, -2/9, 6
Let b be (-56)/(-10) - 43/((-774)/(-90)). Factor 6/5*l**3 + b*l**4 + 42/5*l - 3 - 36/5*l**2.
3*(l - 1)**3*(l + 5)/5
Let -1/2*a**3 + 4*a - 7/2*a**2 + 0 = 0. Calculate a.
-8, 0, 1
Let u(k) = k**3 - 2*k**2 - 4. Let i be u(3). Suppose 0 = -i*b + b + 16. Let -4*o**2 + 2*o**5 - 2*o + b*o**4 + 0*o**5 - 1 + 1 = 0. What is o?
-1, 0, 1
Let a(q) be the first derivative of -3*q**6/40 + q**5/5 - q**4/8 - 11*q**2/2 - 10. Let r(y) be the second derivative of a(y). Factor r(s).
-3*s*(s - 1)*(3*s - 1)
Let i(t) be the second derivative of -t**3 + 0*t**2 + 0 - 1/4*t**4 - 40*t. Solve i(y) = 0.
-2, 0
Let s(v) be the third derivative of 0*v**4 - 1/30*v**5 + 0*v**3 - 1/24*v**6 + 0 - 1/336*v**8 + 0*v + 16*v**2 - 2/105*v**7. Factor s(w).
-w**2*(w + 1)**2*(w + 2)
Let m(n) = -n**2 - 6*n - 1. Let y be m(-4). Suppose -3*j + y*j = 8. Suppose 0*o**4 + 0*o**4 + 4*o**j + o**4 + 4*o**3 = 0. Calculate o.
-2, 0
Let s(d) = -8*d + 43. Let f be s(5). Let l(r) be the third derivative of 1/90*r**5 + 3*r**2 + 0*r + 0*r**f + 1/36*r**4 + 0. Factor l(n).
2*n*(n + 1)/3
Let l be 20/70 + (-4)/(-84). Let q(b) be the first derivative of 3/2*b**2 + 5 + l*b**3 + 2*b. Let q(a) = 0. What is a?
-2, -1
Find m such that 66*m + 2*m**4 - 191*m + 60 + 65*m**2 + 3*m**3 - 7*m**4 + 2*m**3 = 0.
-4, 1, 3
Suppose -9*l + 5*l - 18 = -3*v, v + 5*l + 13 = 0. Factor 0 + 5/3*i**3 - i**v - 2/3*i.
i*(i - 1)*(5*i + 2)/3
Let x = -14 + 14. Suppose -4*s - 6 + 18 = x. Factor 0*k**2 + 4*k**3 - s*k**3 + 4 - 3*k**2.
(k - 2)**2*(k + 1)
Let m(r) = 4*r**2 - r + 6. Let w(o) = -3*o**2 - 7. Let d(f) = 6*m(f) + 5*w(f). Let d(l) = 0. What is l?
1/3
Let k = 1059 + -4233/4. Factor -k + 3/2*u - 3/4*u**2.
-3*(u - 1)**2/4
Factor -30*g**4 + 48*g**2 - 88*g + 28*g**4 + 40*g**3 + 46*g**2 - 44*g.
-2*g*(g - 22)*(g - 1)*(g + 3)
Let h(o) be the first derivative of o**5/15 + 4*o**4/3 + 26*o**3/3 + 40*o**2/3 - 175*o/3 + 201. Find c, given that h(c) = 0.
-7, -5, 1
Factor 1/7*v**2 + 0 - 6/7*v + 1/7*v**3.
v*(v - 2)*(v + 3)/7
Let p be 11 - -4*2/4. Suppose j = 5*n - p, 3*n + 5*j + 6 - 25 = 0. What is c in n*c + 1 + 5 - 9*c - 4 + 4*c**2 = 0?
1/2, 1
Let s be (((-1)/(-15))/((-476)/816))/((-6)/15). Factor 0*z + 6/7*z**3 - s*z**5 + 0*z**2 + 0 - 4/7*z**4.
-2*z**3*(z - 1)*(z + 3)/7
Find w, given that -19/6*w**2 - 2/3*w**4 + 0 + w - 19/6*w**3 = 0.
-3, -2, 0, 1/4
Let s(y) be the first derivative of y**4/24 + 2*y**3/3 + 7*y**2/4 + 4*y - 38. Let n(f) be the first derivative of s(f). Suppose n(t) = 0. Calculate t.
-7, -1
Solve -92/5*x - 72/5*x**2 + 208/5*x**3 + 56/5 - 112/5*x**4 + 12/5*x**5 = 0.
-2/3, 1, 7
Let d = -245842 + 1217303/5. Let q = 2391 + d. Solve -27/5*a**4 - 16/5 + q*a**2 + 36/5*a**3 - 16/5*a = 0.
-2/3, 2/3, 2
Let v be ((-8)/14)/(3186/378 - 15). Let -v*o**2 - 44/23*o - 242/23 = 0. Calculate o.
-11
Let a(n) = -n + 1. Let p(h) be the first derivative of h**5/5 + 3*h**4/4 + h**3/3 - 2*h**2 - h + 3. Let k(m) = a(m) - p(m). Solve k(v) = 0.
-2, -1, 1
Let i(s) = -s**3 - 3*s**2 - 5*s - 2. Let d be i(-2). Factor -4*y**3 + 8 - 2*y**4 + 80*y + d*y**2 - 64*y + 2*y**2.
-2*(y - 2)*(y + 1)**2*(y + 2)
Let v(m) be the third derivative of m**5/20 + 43*m**4/4 + 1849*m**3/2 - 430*m**2. Factor v(z).
3*(z + 43)**2
Let t = -8029/15 + 1607/3. Factor -1/2*p + t + 1/10*p**2.
(p - 4)*(p - 1)/10
Let y be (-8)/16 - ((-45)/18 - -2). Solve 0*i**2 + 3/4*i**3 + 0*i + 3/8*i**4 - 3/8*i**5 + y = 0.
-1, 0, 2
Let t(w) be the first derivative of -3*w**4/8 - 9*w**3/2 + 51*w**2/2 - 36*w - 299. Solve t(p) = 0.
-12, 1, 2
Let d(c) be the first derivative of c**3/27 - c**2/6 - 79. Factor d(v).
v*(v - 3)/9
Factor -9*f**3 + 320*f + 190*f**2 - 224 + 64 + 34*f**3.
5*(f + 4)**2*(5*f - 2)
Factor 212*c**2 + 3*c + 3*c - 5 + c**4 + 216*c**2 - 424*c**2 - 6*c**3.
(c - 5)*(c - 1)**2*(c + 1)
Let v = 252 - 248. Let n be (v + (0 - 3))*2. Let 0 + 1/5*p - 1/5*p**3 + 0*p**n = 0. What is p?
-1, 0, 1
Let v(w) be the second derivative of w**7/63 + 8*w**6/15 + 6*w**5 + 200*w**4/9 - 273*w. Factor v(p).
2*p**2*(p + 4)*(p + 10)**2/3
Let w(l) be the second derivative of l**6/60 + 7*l**5/20 - l**4/8 - 10*l**3/3 + 7*l**2 - 83*l. Factor w(j).
(j - 1)**2*(j + 2)*(j + 14)/2
Let u = 38/455 - -3/182. Let n(m) be the first derivative of -1/5*m**2 + u*m**4 - 3 + 4/15*m**3 - 4/5*m. Determine o, given that n(o) = 0.
-2, -1, 1
Suppose 5*o + 0*o = 10. Let p(k) = k + 1. Let v be p(o). Determine z, given that 2*z + 0*z + 0*z - v*z**3 + z = 0.
-1, 0, 1
Let l(p) be the third derivative of p**8/560 + p**7/175 - 3*p**6/50 + 7*p**5/50 - p**4/8 + p**2 - 298*p. Solve l(r) = 0 for r.
-5, 0, 1
Let a(d) be the second derivative of 2*d**7/105 + 13*d**6/25 + 108*d**5/25 + 121*d**4/15 - 6*d**3/5 - 81*d**2/5 + 83*d. Suppose a(g) = 0. What is g?
-9, -1, 1/2
Let w(a) = a + 5. Let v = -4 - -2. Let q be w(v). Factor 7*n**2 - 4*n**2 + 3*n**q + 3*n**2 + 0*n**2.
3*n**2*(n + 2)
Let h(d) = 3*d**3 - 200*d**2 - 407*d - 205. Let m(b) = -b**3 + b + 1. Let i(l) = h(l) + m(l). Factor i(r).
2*(r - 102)*(r + 1)**2
Let k be (-1)/((-9 - -10) + 10/(-8)). Let z(b) be the third derivative of 0*b**3 + 0*b**5 + 0*b**k + 2*b**2 + 0*b + 0 - 1/40*b**6. Let z(r) = 0. Calculate r.
0
Let v(h) = -h**3 + 5*h**2 - 4*h + 3. Let c be v(3). Factor 2*m**2 + 4*m - 9 - 6*m**2 + c.
-4*m*(m - 1)
Suppose -5*p - 2289 = -26*p. Let w = p + -106. Factor 0 + 4/7*h - 2/7*h**2 - 2/7*h**w.
-2*h*(h - 1)*(h + 2)/7
Let g(t) = 5*t**4 + 50*t**3 - 45*t**2 + 10*t + 10. Let n(b) = -b**4 - b**3 - 3*b**2 - b - 1. Let o(c) = g(c) + 10*n(c). Suppose o(p) = 0. What is p?
0, 3, 5
Factor -112*s + 2*s**2 + 29 - 65 - 14*s**2.
-4*(s + 9)*(3*s + 1)
Let l = 1527 + -1527. Factor -50/23*v**2 + 20/23*v**3 + 0 - 2/23*v**4 + l*v.
-2*v**2*(v - 5)**2/23
Let -78*x**2 - 76*x**2 + 241*x**2 - 84*x**2 + 6*x = 0. What is x?
-2, 0
Suppose 3*i - 7 = 2, -3*i + 19 = 5*u. Let b be 3/u*1 + -1. Determine c, given that -3/2*c**2 + b*c**3 - 1/2 + 3/2*c = 0.
1
Let a be 3 - (-200)/30 - (-1 + 6 - 4). Suppose -10/3*c**2 + 2/3*c**3 - a*c - 14/3 = 0. Calculate c.
-1, 7
Let h(n) be the first derivative of 8 - 1/60*n**4 + 0*n + 0*n**3 - 1/600*n**6 - 1/100*n**5 + 2*n**2. Let x(m) be the second derivative of h(m). Factor x(y).
-y*(y + 1)*(y + 2)/5
Let c(z) = 39*z**2 - 24*z + 18. Let h