 - 2)/7
Let k(d) be the second derivative of 9/110*d**5 + 90*d + 1/55*d**6 - 3/11*d**4 + 0*d**2 - 8/11*d**3 + 0. Factor k(o).
6*o*(o - 2)*(o + 1)*(o + 4)/11
Let m = 456977/7 - 65247. Factor 8/7 + 1922/7*a**2 - m*a.
2*(31*a - 2)**2/7
Let z be ((-143)/26)/(33*(-5)/90). Factor -4/9*f**2 + 4/9 + 2/3*f - 2/3*f**z.
-2*(f - 1)*(f + 1)*(3*f + 2)/9
Let g be ((-258)/(-9))/(2 + (-4)/3). Suppose -35 = 4*l - g. Suppose o**2 - 704*o + l*o**2 + 722*o = 0. What is o?
-6, 0
Let n be (-134)/(-132) + 267/(-450) + (-54)/225. Factor -8192/11 + 256/11*m - n*m**2.
-2*(m - 64)**2/11
Let g(r) be the second derivative of -r**4/78 - 14*r**3/13 + 40*r**2 - 3484*r. Factor g(v).
-2*(v - 10)*(v + 52)/13
Let o(d) be the first derivative of -5/2*d**2 + 2/7*d**3 + 0*d + 15 + 81/140*d**5 + 9/14*d**4. Let k(q) be the second derivative of o(q). Factor k(g).
3*(9*g + 2)**2/7
Let n(x) be the second derivative of 0 - 4/3*x**2 - 1/2*x**3 - 1/36*x**4 - 196*x. Let n(i) = 0. What is i?
-8, -1
Let a be (-204)/135*6/(-4)*(-4080)/(-6528). Let b(g) be the third derivative of a*g**4 - 5*g**2 + 0 + 0*g + 2/15*g**5 + 4/3*g**3. Factor b(d).
2*(d + 4)*(4*d + 1)
Solve -30*w**3 - 630*w**2 - 2/5*w**4 - 2450*w + 0 = 0 for w.
-35, -5, 0
Let g(l) = 2*l**2 - 5016*l + 3119702. Let d(w) = 2*w + 30. Let a(y) = -20*d(y) - 2*g(y). Factor a(i).
-4*(i - 1249)**2
Let u(d) be the third derivative of 0*d**3 + 2/225*d**6 + 4/45*d**4 + 0 - 1/1575*d**7 + 25*d**2 - 2*d - 2/45*d**5. Factor u(n).
-2*n*(n - 4)*(n - 2)**2/15
Let c(o) = -o + 52. Let l be c(-30). Suppose -71*i = -l*i + 33. Determine r, given that 0*r + 3/7*r**2 + 3/7*r**i + 0 = 0.
-1, 0
Suppose -5*s + 46 = 3*z, -3*s = 4*z + 27 - 59. Determine b so that 1/4*b**5 - 11/4*b**z - 1/4*b**3 - 1 + 3/4*b**4 - 3*b = 0.
-2, -1, 2
Let i be 2430/567 + (-1)/14*4. Suppose -34/11*m**3 - 8/11 + 18/11*m**5 - 6/11*m**i + 16/11*m + 14/11*m**2 = 0. Calculate m.
-1, 2/3, 1
Let c(g) = g**3 + 2*g**2 + g + 6. Let i be c(-5). Let s = i + 79. Factor 12 - 15*p**2 - 5*p + s*p**3 + 3*p**4 - 4*p + 4*p**3.
3*(p - 1)**2*(p + 1)*(p + 4)
Let n(i) = -15*i**3 - 38*i**2 + 116*i - 42. Let v(j) = -5*j**3 - 1. Let u(x) = -3*n(x) + 6*v(x). Factor u(q).
3*(q - 2)*(q + 10)*(5*q - 2)
Let l(g) be the third derivative of 5*g**8/168 - g**7/15 - 7*g**6/20 + 31*g**5/30 + g**4/3 - 4*g**3 - 1322*g**2. Let l(p) = 0. What is p?
-2, -3/5, 1, 2
Let j be -4*(-11 - 5382/(-506)). Solve 0 - 10/11*q**3 - j*q**2 - 8/11*q - 2/11*q**4 = 0 for q.
-2, -1, 0
Let t(q) be the second derivative of 11*q**5/50 + 23*q**4/15 - 124*q**3/15 - 24*q**2/5 + 3*q + 164. Factor t(v).
2*(v - 2)*(v + 6)*(11*v + 2)/5
Let a(p) = 3*p - 47. Let d be a(19). Find g such that d*g + 2*g**4 - 368*g**3 + 177*g**3 + 181*g**3 + 3*g**4 - 5*g**2 = 0.
-1, 0, 1, 2
Let f be 24/(-7 + 1) - (0 - 31). Let n be (-6)/f + (-60)/(-27). Solve 8/5*c - 2/5*c**4 + 0 - 18/5*c**n + 12/5*c**3 = 0 for c.
0, 1, 4
Let x(s) be the second derivative of 7*s**5/10 + 13*s**4/3 + 13*s**3/3 - 6*s**2 - 1275*s. Determine v, given that x(v) = 0.
-3, -1, 2/7
Let r(t) be the third derivative of -1/15*t**7 - 73/30*t**5 - 3*t**2 - 28/3*t**3 - 37/6*t**4 + 49*t - 1/336*t**8 + 0 - 67/120*t**6. Factor r(k).
-(k + 1)*(k + 2)**3*(k + 7)
Let v(y) be the second derivative of y**9/3024 + y**8/672 - y**7/168 - y**6/36 + y**5/6 + 9*y**4/2 + 6*y. Let p(s) be the third derivative of v(s). Factor p(q).
5*(q - 1)**2*(q + 2)**2
Factor -4352/3*q - 164/3*q**2 - 12288 - 2/3*q**3.
-2*(q + 18)*(q + 32)**2/3
Let y(t) be the third derivative of t**7/630 + 271*t**6/60 + 662593*t**5/180 + 55013*t**4/3 + 329672*t**3/9 - 42*t**2 - 5*t - 1. Factor y(v).
(v + 1)**2*(v + 812)**2/3
Suppose -625*a + 160 - 1182 + 2272 = 0. Factor 1/8*d**4 + 169/8*d**a + 0*d - 13/4*d**3 + 0.
d**2*(d - 13)**2/8
Let y be -1 + -20 - -27 - (-92)/(-22). Factor -26/11*a + 4 + 2/11*a**3 - y*a**2.
2*(a - 11)*(a - 1)*(a + 2)/11
Let y(k) be the first derivative of -k**6/2520 - 17*k**5/420 - 289*k**4/168 - k**3/3 - 39*k**2/2 - 18. Let v(b) be the third derivative of y(b). Factor v(i).
-(i + 17)**2/7
Factor 0 + 27/7*i - 30/7*i**2 + 3/7*i**3.
3*i*(i - 9)*(i - 1)/7
Let s(u) be the first derivative of -1/6*u**4 + 6*u + u**3 + 1 + 0*u**2. Let n(c) be the first derivative of s(c). Factor n(r).
-2*r*(r - 3)
Let p(r) be the second derivative of 125*r**6/6 - 2350*r**5 + 4650*r**4 - 11120*r**3/3 + 1480*r**2 + 7535*r. Solve p(f) = 0 for f.
2/5, 74
Let g(n) be the second derivative of -6 - 5*n + 108/7*n**2 - 1/21*n**4 + 10/7*n**3. Factor g(j).
-4*(j - 18)*(j + 3)/7
Let d(c) = -c**3 - 17*c**2 - 1. Let r be d(-17). Let x(o) = -o**2 - 1. Let i(l) = 8*l**2 - 48*l + 148. Let g(a) = r*i(a) - 4*x(a). Factor g(h).
-4*(h - 6)**2
Let t(l) be the second derivative of -2*l**7/63 + 148*l**6/45 - 1873*l**5/15 + 1928*l**4 - 6528*l**3 + 9216*l**2 - 1258*l. Factor t(g).
-4*(g - 24)**3*(g - 1)**2/3
Let h(q) be the second derivative of 1/28*q**7 + 4*q**3 + 25/8*q**4 + 0 + 60*q + 7/20*q**6 + 57/40*q**5 + 3*q**2. What is p in h(p) = 0?
-2, -1
Factor -7/2*o**2 + 5/2*o**3 + 1/2*o**5 - 3*o + 7/2*o**4 + 0.
o*(o - 1)*(o + 1)**2*(o + 6)/2
Let k(w) be the first derivative of w**5/25 + 151*w**4/20 - 61*w**3/3 + 153*w**2/10 + 1281. Find a, given that k(a) = 0.
-153, 0, 1
Let v(z) be the first derivative of z**6/42 - 59*z**5/35 + 34*z**4 - 2348*z**3/21 - 16*z**2 + 448*z + 5045. Solve v(o) = 0.
-1, 2, 28
Let d be ((72/20)/(-3))/(4/80*-54). Let x(g) be the first derivative of 4/3*g - 6 + d*g**3 + 4/3*g**2. Solve x(i) = 0 for i.
-1
Suppose -58*p + 49*p + 18 = 0. Let s be (-390)/(-999) - p/(-37). Factor 0*y + 2/9*y**3 + 0 + s*y**2.
2*y**2*(y + 2)/9
Let v(r) be the third derivative of -r**7/945 + 11*r**6/60 + 23*r**5/10 + 35*r**4/4 - 226*r**2 - 7*r. Factor v(m).
-2*m*(m - 105)*(m + 3)**2/9
Let z(y) be the third derivative of -y**7/105 - 4*y**6/15 + 3*y**5/5 + 4*y**4/3 - 17*y**3/3 - 7*y**2 - 75*y. Find n such that z(n) = 0.
-17, -1, 1
Let i(g) be the second derivative of -g**6/30 - 203*g**5/80 - 883*g**4/16 - 1825*g**3/24 + 625*g**2/8 - 980*g. Determine d, given that i(d) = 0.
-25, -1, 1/4
Let j be ((-12)/(-10))/((-102)/(-12) + -7). Suppose -40*w = -45*w + 15. Factor 0 - 2*c**2 + 14/5*c**w - j*c.
2*c*(c - 1)*(7*c + 2)/5
Suppose -4*v + 8 = -8*v. Let s(a) = -a**3 - 2*a**2 + 11*a + 9. Let q(f) = -f**3 - 2*f**2 + 9*f + 8. Let d(m) = v*s(m) + 3*q(m). Let d(i) = 0. What is i?
-3, -1, 2
Let d be 2*-9*80/(-1080). Let j(t) be the first derivative of -d*t**3 + 6 + 4/5*t**5 + 0*t**2 + 0*t + 0*t**4. Find c, given that j(c) = 0.
-1, 0, 1
Factor 0*t + 0*t**2 + 2/5*t**5 + 52/5*t**4 + 66*t**3 + 0.
2*t**3*(t + 11)*(t + 15)/5
Let x(t) be the first derivative of 43681*t**3/7 + 627*t**2/7 + 3*t/7 + 1224. Let x(y) = 0. What is y?
-1/209
Let t = -69 - -114. Suppose -t = -9*u - 9. Determine n so that 48*n**3 - 23*n**3 - u*n**4 - 10*n**2 - 13*n**3 + 2*n**4 = 0.
0, 1, 5
Let d(z) = -z**3 - 39*z**2 - 71*z + 115. Let h be d(-37). Suppose -11199*x - 5*x**5 + 3*x**4 - 150*x**3 + 42*x**h + 11034*x + 230*x**2 + 45 = 0. What is x?
1, 3
Let g(n) be the third derivative of n**6/80 - 197*n**5/8 + 244027*n**4/16 - 723243*n**3/4 + n**2 + 5494*n - 2. Factor g(w).
3*(w - 491)**2*(w - 3)/2
Let u(w) be the first derivative of -40*w - 10/3*w**3 + 15/4*w**4 + 19 - 30*w**2 + w**5. Factor u(o).
5*(o - 2)*(o + 1)*(o + 2)**2
Factor -725/3 - 185*u - 5/3*u**3 + 55*u**2.
-5*(u - 29)*(u - 5)*(u + 1)/3
Determine t, given that 438*t**2 - 1144*t - 3872 + 43/2*t**3 + 1/4*t**4 = 0.
-44, -2, 4
Let w(q) = 3*q**3 - 7*q**2 + q + 13. Let r be w(3). Let h be 2/(r/(-9)*(-57)/38). Determine m so that 2/17*m**3 + 2/17*m**2 + h - 10/17*m = 0.
-3, 1
Factor -5/2*i**2 - 160 - 85*i.
-5*(i + 2)*(i + 32)/2
Let d be (-52)/(-234) + (-65)/(-45). Let y(f) be the first derivative of -4/3*f**5 + 0*f**3 + 0*f + d*f**4 - 1 + 0*f**2 + 5/18*f**6. Factor y(s).
5*s**3*(s - 2)**2/3
Suppose 21687*j**2 - 1774224 - 2239*j - 21691*j**2 - 3089*j = 0. Calculate j.
-666
Let c(o) be the third derivative of o**11/66528 - o**10/7560 + o**9/3024 - 31*o**5/30 - 4*o**2 + 5*o. Let s(z) be the third derivative of c(z). Factor s(i).
5*i**3*(i - 2)**2
Let r(z) be the first derivative of z**6/90 + z**5/30 + 50*z**3/3 + 2*z - 37. Let p(f) be the third derivative of r(f). Factor p(c).
4*c*(c + 1)
Let d = 791/8 - 98. Let c(n) be the first derivative of 5 + d*n**4 - 3/10*n**5 + 0*n - 5/6*n**3 + 