x + 2)**2/10
Let z be ((-4)/(-45))/(2/21). Suppose -2*l - 7*f + 21 = -32, -3*f + 31 = 5*l. Let -z*n**3 + 8/15*n + 0 - 2/5*n**4 + 0*n**l = 0. What is n?
-2, -1, 0, 2/3
Let q(p) = -2*p**3 - 18*p**2 + p + 13. Let k be q(-9). Factor -1/3*w**k + 0*w + 1/3*w**3 + 0*w**2 + 0.
-w**3*(w - 1)/3
Let k(o) be the first derivative of o**4/60 + o**3/3 + 5*o**2/2 + 7*o - 7. Let m(q) be the first derivative of k(q). Suppose m(d) = 0. What is d?
-5
Solve 0*m**4 - m**2 + 0 + 1/2*m**5 - 3/2*m**3 + 0*m = 0.
-1, 0, 2
Suppose 0 = 2*g - 4*o - 284, -410 = -3*g - 0*o - 2*o. Factor -f**3 - f - 69*f**2 + g*f**2 - 71*f**2.
-f*(f + 1)**2
Factor -4*w**2 + 0*w - 8 - 10*w + 0*w + 2 + w**3 - w.
(w - 6)*(w + 1)**2
Let z = -111/8 + 125/8. Let h(q) be the second derivative of 9/2*q**2 + 7*q + 0 - 3/8*q**4 - z*q**3. Let h(r) = 0. What is r?
-3, 2/3
Let j(a) = 198*a + 3170. Let v be j(-16). Factor -4/5*i**4 - 52/5*i - 16/5 - 28/5*i**3 - 12*i**v.
-4*(i + 1)**3*(i + 4)/5
Suppose -2*j - l = -7, -2*j = -6*j - 3*l + 11. Suppose j = -v + 9. Factor -59*s**4 + 3*s - v*s**3 + s**5 + 59*s**4 - 2*s**2 + 2.
(s - 2)*(s - 1)*(s + 1)**3
Suppose 5*h = z + 397, -4*h + 192 = 5*z - 114. Find r, given that h*r**5 - 25*r - 10 + 110*r**2 - 20*r**4 - 80*r**3 + 75*r**5 - 129*r**5 = 0.
-2, -1/5, 1
Let a(k) be the third derivative of k**6/900 - k**5/450 - k**4/45 + 4*k**3/45 + 4*k**2 + 15. Factor a(y).
2*(y - 2)*(y - 1)*(y + 2)/15
Let w(u) be the first derivative of 5*u**8/336 - u**6/24 + 23*u**2/2 + 37. Let q(g) be the second derivative of w(g). Factor q(r).
5*r**3*(r - 1)*(r + 1)
Factor -3/5*k + 0 - 18/5*k**3 + 12/5*k**2 - 3/5*k**5 + 12/5*k**4.
-3*k*(k - 1)**4/5
Let a(m) = 12*m**2 + m - 8. Let f be a(2). Determine s, given that -f*s - 4 - 57*s + 77*s - 30*s**2 = 0.
-2/5, -1/3
Let t(f) be the third derivative of f**7/525 - 19*f**6/300 + 8*f**5/75 + 3*f**4/5 - 160*f**2. Factor t(w).
2*w*(w - 18)*(w - 2)*(w + 1)/5
Let x be (6/2 - 3) + 9. Factor -x*l - l - 2*l**2 - l**2 - 2*l**2.
-5*l*(l + 2)
Let 3*z + 3/8*z**2 - 27/8 = 0. Calculate z.
-9, 1
Let b(q) be the second derivative of -8/33*q**3 + 0*q**2 + 0 + 10*q + 1/66*q**4. Factor b(g).
2*g*(g - 8)/11
Let b(y) be the second derivative of 0 + 0*y**2 - 6*y + 0*y**5 + 1/6*y**3 + 0*y**4 + 1/540*y**6. Let z(t) be the second derivative of b(t). Factor z(a).
2*a**2/3
Let j(y) be the third derivative of -y**5/60 - 17*y**4/6 - 578*y**3/3 - 113*y**2. Let j(v) = 0. What is v?
-34
Let n(o) be the second derivative of -o**7/1680 - o**6/320 - o**5/160 + 11*o**4/12 + 8*o. Let t(p) be the third derivative of n(p). Factor t(x).
-3*(x + 1)*(2*x + 1)/4
Let u(f) be the second derivative of -f**4/78 + 48*f**3/13 - 5184*f**2/13 - 251*f. Factor u(a).
-2*(a - 72)**2/13
Determine k so that -279/5*k**3 + 48*k - 3/5*k**2 + 36/5 - 33/5*k**4 + 39/5*k**5 = 0.
-2, -1, -2/13, 1, 3
Suppose 5*m - 11 = -2*c, 5*m + 1 = 2*c - 0. Let l = 1/38 - -35/114. Factor 1/3*i**c + 0 + 1/3*i**2 - 1/3*i**4 - l*i.
-i*(i - 1)**2*(i + 1)/3
Let d be ((-1)/7)/1*234. Let g = d - -34. Suppose 0*q + 0 - 2/7*q**3 + g*q**2 = 0. Calculate q.
0, 2
Suppose 0 = -w - p - 2, -3*w + 5*p + 10 = w. Let h(n) be the first derivative of 0*n - 1/10*n**5 + 0*n**3 + 6 + w*n**2 - 1/8*n**4. Factor h(q).
-q**3*(q + 1)/2
Let d = -76/7 + 159/14. Factor -5/2*s + 2*s**2 + d.
(s - 1)*(4*s - 1)/2
Let w be -6 - 9/(-2) - 3/(-6). Let f(n) = -n**3 - n**2 + n - 2. Let x(s) = -2*s**3 + 13*s**2 - 8*s + 6. Let l(j) = w*x(j) - 3*f(j). Factor l(y).
5*y*(y - 1)**2
Let 4096/7 + 768/7*u + 48/7*u**2 + 1/7*u**3 = 0. What is u?
-16
Suppose 64 = 4*a + 2*b - b, -3*a + 4*b = -48. Let o = a + -8. Factor 13*t**3 - o*t**3 + 3*t - 2*t**3 - 6*t**2.
3*t*(t - 1)**2
Let s(c) be the third derivative of c**6/240 + c**5/40 + 14*c**2. Factor s(u).
u**2*(u + 3)/2
Let b(y) be the first derivative of -2*y**3/57 - 58*y**2/19 + 240*y/19 + 68. Factor b(a).
-2*(a - 2)*(a + 60)/19
Let h = 335/702 + 8/351. Factor -8*g + h + 32*g**2.
(8*g - 1)**2/2
Suppose -6*h + 530 = -4. What is k in 94*k**3 - 3*k**4 - 4 - h*k**3 + k**4 + 12*k**2 + k = 0?
-1, 1/2, 4
Let j(a) be the first derivative of 18*a - 1/3*a**3 - 5/4*a**4 + 9 + 21/2*a**2 - 1/5*a**5. Factor j(l).
-(l - 2)*(l + 1)*(l + 3)**2
Let d be (25 - 3)/(3 + -1). Factor -14*t + d - 10*t - 13 - 22*t**2.
-2*(t + 1)*(11*t + 1)
Factor -3/2 + 5/2*l - 1/2*l**2 - 1/2*l**3.
-(l - 1)**2*(l + 3)/2
Suppose r - s = 3*r - 8, 3*r - 12 = -5*s. Suppose 0 = g + 6 - 2, -36 = -4*a + g. Factor -a*i**3 + 3*i**4 + 8*i**2 - 4*i**3 + i**r + 0*i**4.
4*i**2*(i - 2)*(i - 1)
Let r(x) = 15*x**3 + 44*x**2 - 135*x - 277. Let p(a) = 10*a**3 + 30*a**2 - 90*a - 185. Let v(t) = -7*p(t) + 5*r(t). Factor v(c).
5*(c - 3)*(c + 2)*(c + 3)
Determine j so that 4/3*j**3 - 2/9*j**4 - 2*j**2 - 8/9*j + 8/3 = 0.
-1, 2, 3
Let i be (-2211)/132 + 16 + 126/104. Find o, given that 4/13*o**3 - i*o + 2/13*o**5 + 18/13 + 10/13*o**4 - 28/13*o**2 = 0.
-3, -1, 1
Let w = 65908 + -65905. Suppose 4*r - 14 = 3*a, 0 = 3*r - 6*r - 2*a + 2. Solve -2/5*q + 2/5*q**r + 2/5*q**w - 2/5 = 0.
-1, 1
Let a(i) be the first derivative of i**6/42 - 4*i**5/35 - 3*i**4/14 + 4*i**3/21 + 5*i**2/14 - 47. Let a(d) = 0. Calculate d.
-1, 0, 1, 5
Determine y so that 5/4*y**2 + 0 - 11/4*y**3 + 3/2*y = 0.
-6/11, 0, 1
Let n = -3202079/480 + 6671. Let v(b) be the third derivative of 0*b + 0*b**3 + 0 - n*b**6 - 1/48*b**4 + b**2 - 1/80*b**5. Factor v(d).
-d*(d + 1)*(d + 2)/4
Suppose 2*b**5 + 0*b + 0 - 1/2*b**2 + b**3 + 7/2*b**4 = 0. What is b?
-1, 0, 1/4
Suppose 797 = 182*c + 251. Let 0 - 4/3*k + 4/3*k**c + 2/3*k**2 - 2/3*k**4 = 0. What is k?
-1, 0, 1, 2
Let o(d) be the first derivative of 1/39*d**3 + 0*d**2 - 1 - 2*d + 1/130*d**5 - 1/39*d**4. Let w(v) be the first derivative of o(v). Solve w(c) = 0.
0, 1
Factor -8/5*n - 12/5*n**2 + 1/5*n**5 + 3/5*n**4 + 0 - 2/5*n**3.
n*(n - 2)*(n + 1)*(n + 2)**2/5
Let o(z) = -z**2 - 5*z + 8. Let v be o(-6). Suppose y + 3*y - 16 = v*w, 0 = -5*w + 2*y. Suppose 12 + c**2 + 2*c**w + 99*c - 111*c = 0. Calculate c.
2
Let b(s) be the third derivative of 7*s**6/24 + 29*s**5/12 + 20*s**4/3 + 10*s**3/3 - 61*s**2 + s. Find p such that b(p) = 0.
-2, -1/7
Let x(t) be the first derivative of -2*t**3/33 + 12*t**2/11 - 64*t/11 + 328. Suppose x(j) = 0. Calculate j.
4, 8
Let h(k) be the third derivative of -k**6/60 - 13*k**5/30 + 7*k**4/6 + 56*k**2. Factor h(d).
-2*d*(d - 1)*(d + 14)
Find w such that 5/3*w**3 + 295/3*w**2 + 305/3 - 605/3*w = 0.
-61, 1
Suppose 40 + 260/3*v - 10*v**4 - 70/3*v**2 + 15*v**5 - 325/3*v**3 = 0. What is v?
-2, -2/3, 1, 3
Let q be 2*1 - (-5475)/(-2740). Let a = 3281/3836 + q. Factor -a*z**2 - 6/7*z - 2/7*z**3 - 2/7.
-2*(z + 1)**3/7
Let h(d) = -9*d**2 - 18*d + 15. Suppose -o - 8 = -3*o. Suppose 0 = w + o - 5. Let i(l) = l**2 + l - 1. Let v(n) = w*h(n) + 12*i(n). Factor v(z).
3*(z - 1)**2
Let u(h) be the first derivative of 2*h**3/15 - h**2/5 - 4*h/5 + 208. Determine v, given that u(v) = 0.
-1, 2
Let w(l) = 2*l**2 - l. Let t be w(1). Let u = -92/3 - -187/6. Factor u*f**2 + 3/2*f + t.
(f + 1)*(f + 2)/2
Let k(n) be the third derivative of -n**6/1440 - n**5/120 + 7*n**3/6 - 27*n**2. Let x(p) be the first derivative of k(p). Let x(d) = 0. What is d?
-4, 0
Suppose 562*f + 6 = 565*f. Let a(w) be the second derivative of 0*w**f + 0 + 1/9*w**4 + 2/9*w**3 + 1/60*w**5 + 4*w. Factor a(q).
q*(q + 2)**2/3
Let m(u) be the third derivative of -10/3*u**3 + 0 + 3*u**2 + 5/336*u**8 + 1/42*u**7 - 1/12*u**5 - 5/24*u**6 + 0*u + 5/3*u**4. Factor m(q).
5*(q - 1)**3*(q + 2)**2
Let u(q) be the first derivative of 0*q**3 + 11 + 0*q**2 + 0*q**4 + 0*q - 1/15*q**5 + 1/18*q**6. Factor u(a).
a**4*(a - 1)/3
Let a be 17/(-102) + (1 - 1402/1668). Let r = 267/1529 - a. Factor -2/11*p**2 - r*p + 0.
-2*p*(p + 1)/11
Let t(m) be the second derivative of m**5/20 - 7*m**3/6 - 3*m**2 + 2*m - 5. Factor t(k).
(k - 3)*(k + 1)*(k + 2)
Let c(o) = 2*o**3 - 21*o**2 - 45*o - 27. Let r(a) = 3*a**3 - 21*a**2 - 45*a - 27. Let m(g) = 6*c(g) - 5*r(g). Determine w, given that m(w) = 0.
-3, -1
Let d(y) be the third derivative of 9*y**6/160 + 7*y**5/80 - 5*y**4/8 + y**3/2 + 13*y**2 - 4. Find u, given that d(u) = 0.
-2, 2/9, 1
Let x be -4 + 4 + (-2)/(-1). Let l be 7/1 - (2 - x). Factor -l*h**2 + 3*h**3 + 0*h**3 + h**2.
3*h**2*(h - 2)
Let l = 27 + -24. Suppose -5 = 4*o - 5*a, -l*o + 5 = 5*a - 0. Factor -2/5*j**2 + o + 3/5*j**3 + 0*j.
j**2*(3*j 