/3 + 3*i**2 + 15. Let n be f(6). Factor 1/5*u**2 + n + 1/5*u.
u*(u + 1)/5
Let n(p) be the third derivative of 0*p**3 + 0 + 1/12*p**4 + 0*p + 0*p**5 - 1/240*p**6 - 29*p**2. Solve n(q) = 0 for q.
-2, 0, 2
Let i(r) be the third derivative of 0*r**4 - 1/12*r**5 - 2*r**2 + 0*r**3 + 0 + 5/336*r**8 - 1/14*r**7 + 1/8*r**6 + 0*r. Suppose i(k) = 0. What is k?
0, 1
Let z be 4/(-20580)*1019*-3. Let v = z + 2/343. Suppose -2/5 - v*w - 1/5*w**2 = 0. What is w?
-2, -1
Let l(b) be the second derivative of -b**6/80 + 3*b**5/80 + 5*b**4/32 - 3*b**3/8 - 32*b. Find f, given that l(f) = 0.
-2, 0, 1, 3
Let i(k) = -319*k - 636. Let g be i(-2). Factor 2/3*d**g - 2/3 + 0*d.
2*(d - 1)*(d + 1)/3
Suppose -2*g + 4*q = 2*q + 2, 3*g + 5*q = 21. Suppose -3*o + 4 = -o. Factor 8*b**3 - 3*b**2 - b**o - 7*b**4 + b**4 + g*b**3.
-2*b**2*(b - 1)*(3*b - 2)
Let 16/5*n**2 + 17*n + 1/5*n**3 + 30 = 0. What is n?
-6, -5
Let p(d) be the second derivative of d**7/280 + d**6/20 + 3*d**5/10 + d**4 - 22*d**3/3 - 34*d. Let z(q) be the second derivative of p(q). Factor z(l).
3*(l + 2)**3
Let c = 201 + -205. Let t be (c + 5)/(4 - -3). Factor 1/7*b**2 + 1/7*b**5 + 0 + 0*b - 1/7*b**4 - t*b**3.
b**2*(b - 1)**2*(b + 1)/7
Let p(a) = 4*a**3 - 36*a**2 + 104*a - 104. Suppose -6 + 1 = -5*x. Let v(b) = -b + 1. Let t(n) = x*p(n) - 4*v(n). Suppose t(r) = 0. What is r?
3
Let a(y) be the second derivative of -3*y**5/80 - 23*y**4/16 + 49*y**3/8 - 75*y**2/8 - 366*y. What is l in a(l) = 0?
-25, 1
Let l be 6/((-218)/(-20) - 27/((-1890)/(-28))). Factor -l*t**3 + 8/7 - 12/7*t**2 + 4/7*t + 4/7*t**4.
4*(t - 2)*(t - 1)*(t + 1)**2/7
Let g(u) = 10*u**2 - 22*u + 22. Let k(i) = 51*i**2 - 108*i + 111. Let c(x) = -11*g(x) + 2*k(x). Factor c(y).
-2*(y - 2)*(4*y - 5)
Let h(y) be the third derivative of 1/960*y**6 + 0*y + 0 + 8*y**2 + 1/192*y**4 + 1/240*y**5 + 0*y**3. Factor h(k).
k*(k + 1)**2/8
Let o = 44 - 42. Find s, given that 0*s**3 - 4*s**2 + 3*s**2 - 3*s**o - 4*s**3 = 0.
-1, 0
Let v(y) be the third derivative of 17*y**6/270 - 2*y**5/27 + 66*y**2. Factor v(z).
4*z**2*(17*z - 10)/9
Let a(m) be the second derivative of m**6/6 - 7*m**5/4 + 85*m**4/12 - 85*m**3/6 + 15*m**2 + 30*m - 1. What is c in a(c) = 0?
1, 2, 3
Let v be (-14 - -17) + -21 - -18. Determine b so that 5/4*b**4 + v*b - 5/2*b**2 + 5/4 + 0*b**3 = 0.
-1, 1
Let r(b) be the second derivative of -b**4/4 - 49*b**3/2 - 72*b**2 - 251*b. Factor r(c).
-3*(c + 1)*(c + 48)
Suppose 3698/9 + 2/9*h**2 + 172/9*h = 0. What is h?
-43
Let n(q) = 19*q**3 + 14*q**2 + 47*q + 4. Let v(s) = -55*s**3 - 47*s**2 - 141*s - 13. Let k(p) = -17*n(p) - 6*v(p). Factor k(j).
(j + 1)*(j + 5)*(7*j + 2)
Let y(w) = -11*w - 5 - 3*w + 7*w - 5*w**2. Let n = -9 + 6. Let h(x) = 11*x**2 + 15*x + 11. Let o(u) = n*h(u) - 7*y(u). Factor o(f).
2*(f + 1)**2
Let r = -236 - -236. Let h(a) be the third derivative of 1/4*a**4 + 0*a + 2/3*a**3 + r - 2*a**2 + 1/30*a**5. Factor h(k).
2*(k + 1)*(k + 2)
Let t be 0 + ((-6)/(-10) - 22/(-5)). Let z(b) be the second derivative of 0 + 0*b**3 - 3*b + 0*b**2 + 1/60*b**t + 1/18*b**4. Find y, given that z(y) = 0.
-2, 0
Suppose 0 = 4*v - 2*v. Let c = 79/5 - 701/45. Let 0 + c*j**2 + v*j = 0. What is j?
0
Let k(t) be the third derivative of -t**5/90 - t**4/36 + 2*t**3/9 + 2*t**2 + 12*t. Determine i, given that k(i) = 0.
-2, 1
Let p(v) = v**2 + 4*v + 2. Let w be p(-4). Let j be (14/(-4))/(9*8/(-48)). Determine i, given that -2/3 + 1/3*i - 5/3*i**4 + j*i**w + 1/3*i**3 - 2/3*i**5 = 0.
-2, -1, 1/2, 1
Let x(y) be the third derivative of 0*y**4 + 0*y - 2/15*y**5 + 2/15*y**6 + 0*y**3 - 1/21*y**7 + 0 - 15*y**2 + 1/168*y**8. Factor x(r).
2*r**2*(r - 2)**2*(r - 1)
Let u = 275 - 272. Let r(h) be the second derivative of -5*h - 1/6*h**4 - h**u - 2*h**2 + 0. Factor r(v).
-2*(v + 1)*(v + 2)
Let p = 342 - 1367/4. Let s(n) be the first derivative of 3/8*n**4 - p*n**3 - 6 + 0*n**2 + 0*n - 3/20*n**5. Find d, given that s(d) = 0.
0, 1
Suppose 9 = 2*y + q, 2*q + 34 = -5*y + 52. Suppose 0 = -2*k + 4. Find d such that y + 2/3*d**k + 4/3*d = 0.
-2, 0
Let p(u) be the second derivative of u**7/7 + 7*u**6/15 - 2*u**5/3 - 40*u**4/9 - 64*u**3/9 - 16*u**2/3 - 189*u. Solve p(m) = 0 for m.
-2, -1, -2/3, 2
Let g be 3/25*(237/198 - (-168)/(-462)). Factor 3/10*w**2 - g*w**4 + 0 - 1/5*w + 0*w**3.
-w*(w - 1)**2*(w + 2)/10
Let i(r) = 23*r + 256. Let m be i(-11). Determine h so that 1/5*h**2 - 1/5*h - 1/5*h**4 + 0 + 1/5*h**m = 0.
-1, 0, 1
Let x = 950 + -4744/5. Factor 7/5*o**2 - 1/5*o**4 + x + 13/5*o - 1/5*o**3.
-(o - 3)*(o + 1)**2*(o + 2)/5
Let m(a) be the first derivative of 2*a**6/21 + 4*a**5/7 - a**4/7 - 20*a**3/21 - 456. Find r, given that m(r) = 0.
-5, -1, 0, 1
Let j(g) be the second derivative of 49*g**6/60 + 21*g**5/10 - 419*g**4/24 + 19*g**3/2 - 2*g**2 + 41*g. Factor j(w).
(w - 2)*(w + 4)*(7*w - 1)**2/2
Suppose 76*n = 95*n - 114. Factor -1/4*t**4 - 9/4 - 11/2*t**2 + n*t + 2*t**3.
-(t - 3)**2*(t - 1)**2/4
Find b such that -46*b - 180*b**2 - 103*b**3 - 16 - 93*b**3 - 228*b**3 + 100*b**3 + 174*b = 0.
-1, 2/9
Factor -224/5*v**3 + 6492/5*v**2 - 2464*v + 1210 + 2/5*v**4.
2*(v - 55)**2*(v - 1)**2/5
Let d(u) be the second derivative of -u**4/24 - 5*u**3/12 + 21*u. Find o such that d(o) = 0.
-5, 0
Suppose 0 = -6*r + 115 + 173. Let a = -44 + r. Factor 0*z**2 - 1/8*z**3 + 1/4*z**a + 0*z - 1/8*z**5 + 0.
-z**3*(z - 1)**2/8
Factor -1560/11*d - 60/11*d**3 + 554/11*d**2 + 2/11*d**4 + 1352/11.
2*(d - 13)**2*(d - 2)**2/11
Let q = 52 + -48. Factor -4*u**3 + 2*u - 1 + 4*u**2 - 2*u**5 + 3 + 5*u - u - 6*u**q.
-2*(u - 1)*(u + 1)**4
Let h(a) be the third derivative of a**8/112 - a**7/14 + a**6/10 + 4*a**5/5 - 4*a**4 + 8*a**3 + 72*a**2. Factor h(q).
3*(q - 2)**3*(q - 1)*(q + 2)
Let v(z) = 7*z**3 - 24*z**2 - 31*z + 24. Let w(j) = j**3 - 9*j. Let g(b) = v(b) - 3*w(b). Solve g(p) = 0 for p.
-1, 1, 6
Let a be (-8)/(-10) - 24/14*666/2220. Factor 8/7*j**4 + 2/7*j + 22/7*j**3 - a + 18/7*j**2.
2*(j + 1)**3*(4*j - 1)/7
Let p(g) be the second derivative of -g**5/130 + 17*g**4/78 - 31*g**3/39 + 15*g**2/13 - 2*g - 4. Factor p(z).
-2*(z - 15)*(z - 1)**2/13
Let c be 2*-1*(-44)/55. Solve -c*g**2 - 4/5*g**5 + 8/5*g**4 + 0*g**3 + 4/5*g + 0 = 0.
-1, 0, 1
Let w be 9*8/23040*8/6. Let n(y) be the third derivative of 0*y**3 + 0*y**4 + 9*y**2 + 0*y + 1/40*y**5 + 0 - w*y**6. Suppose n(b) = 0. Calculate b.
0, 3
Let l(a) be the third derivative of a**7/735 + 9*a**6/70 + 243*a**5/70 + 2*a**2 + 89. Determine h, given that l(h) = 0.
-27, 0
Let p be 0 + (3 - 7 - -4). Factor -6*s**3 + p*s**3 + 2*s**2 - s**5 + 10*s**3 - s**3.
-s**2*(s - 2)*(s + 1)**2
Let v(h) = h**3 - 13*h**2 + 23*h - 9. Let w be v(11). Determine m so that -6*m + 3*m**3 - 3*m**3 + 2*m**3 + 4*m**3 - 2*m**w + 2*m**4 = 0.
-3, -1, 0, 1
Suppose -3 = 3*h - 5*k - 12, 0 = 2*k. Suppose -8*y + 44 = h*y. Let -2/5*c + 2/15*c**2 + 2/15*c**y - 4/15 + 2/5*c**3 = 0. Calculate c.
-2, -1, 1
Let v(y) be the second derivative of -y**7/560 + y**5/20 - 11*y**3/3 + 5*y. Let o(f) be the second derivative of v(f). Find r such that o(r) = 0.
-2, 0, 2
Let p(n) be the first derivative of -7 + 0*n + 0*n**2 - 1/20*n**4 - 1/15*n**3. Determine i, given that p(i) = 0.
-1, 0
Let j(h) be the third derivative of h**5/300 - 2*h**3/15 - 19*h**2 - 2*h. Factor j(x).
(x - 2)*(x + 2)/5
Factor -15*f**4 + 10*f**4 + 71*f**2 + 19*f**2 - 405.
-5*(f - 3)**2*(f + 3)**2
Determine x so that 12/5*x + 12/5*x**2 - 3/5*x**3 - 48/5 = 0.
-2, 2, 4
Suppose -5*u + 14 = 2*u. Let a be 0/(1 + u + -5). Let -4 + a*r + 2 + 32*r**2 - 16*r**5 - 3*r + 49*r**3 = 0. Calculate r.
-1, -1/4, 1/4, 2
Let d be (-2)/(-24) + 58 + -58. Let w(c) be the third derivative of -1/30*c**5 - d*c**4 + 8*c**2 - 1/12*c**3 + 0*c + 0. Solve w(u) = 0 for u.
-1/2
Let i(f) = f**3 - 115*f**2 + 236*f - 1128. Let d be i(113). Factor 0 - 4/5*a - 1/5*a**d.
-a*(a + 4)/5
Let j(r) = -7*r**4 + 57*r**3 - 148*r**2 + 168*r - 69. Let i(m) = -m**4 - m**3 + 2*m**2 - 3. Let q(u) = -i(u) - j(u). Factor q(a).
2*(a - 2)**2*(2*a - 3)**2
Let h = -14 + 22. Suppose 2*a = -3*n + 16, 0*a + 2*a + n = h. Solve 15*y**2 - 8*y**2 - 3*y - 4*y**a = 0.
0, 1
Let z(x) be the first derivative of -x**4/4 + 17*x**3/3 + 37*x**2/2 + 19*x - 152. Find g, given that z(g) = 0.
-1, 19
Let t be -8*40/(-64) + (-64)/20. Determine s, given that -t*s**3 - 12/5*s**4 + 3*s**2 + 9/5*s - 3/5 = 0.
-1, 1/4, 1
Let i(q) = -q**3 - 9*q**2 - 9*q