- 2*y.
-2*y*(y + 9)/9
Factor -1681/10 - 83/10*o**2 + 1/10*o**3 + 1763/10*o.
(o - 41)**2*(o - 1)/10
Factor 36 + 1/4*l**4 - 55/4*l**2 + 22*l + 1/2*l**3.
(l - 4)**2*(l + 1)*(l + 9)/4
What is a in -2 - 20*a**4 - 83*a**2 - 284*a**3 + 938*a**2 + 2 - 556*a**3 - 215*a = 0?
-43, 0, 1/2
Let z be (-105)/42 + (-8)/(400/(-135)). Factor z*s**2 - 8/5*s - 9/5.
(s - 9)*(s + 1)/5
Find p, given that p**4 - 43*p + 140 + 183*p**2 + 26*p - 108*p - 40*p**3 - 159*p = 0.
1, 2, 35
Let q(x) be the second derivative of 13/2*x**2 - 1/108*x**4 + 1/135*x**6 + 1/90*x**5 - 38*x + 0 + 0*x**3. Let y(k) be the first derivative of q(k). Factor y(b).
2*b*(b + 1)*(4*b - 1)/9
Let x(f) be the first derivative of -35 + 5*f**3 + 24*f**2 + 1/4*f**4 + 44*f. Factor x(a).
(a + 2)**2*(a + 11)
Let p(q) be the first derivative of 16*q**3 - 38 - 72*q**2 + 21*q + 1/5*q**5 + 11/3*q**4. Let i(n) be the first derivative of p(n). Suppose i(b) = 0. What is b?
-6, 1
Suppose -n + 5*i = -33 + 18, 9 = -5*n - 3*i. Let j(s) be the second derivative of 1/35*s**6 - 8*s - 5/14*s**4 - 6/35*s**5 + 0*s**2 + 0*s**3 + n. Solve j(f) = 0.
-1, 0, 5
Let r = -77 + 69. Let d(z) = -11*z**2 + 161*z - 1019. Let c(f) = -17*f**2 + 242*f - 1529. Let g(m) = r*d(m) + 5*c(m). Suppose g(p) = 0. Calculate p.
13
Factor 36*d**4 - 4728/7*d**3 + 234876/7*d - 4/7*d**5 + 13064/7*d**2 + 438012/7.
-4*(d - 23)**3*(d + 3)**2/7
Let p(a) be the first derivative of -a**6/54 - 4*a**5/45 + a**4/12 + 14*a**3/27 + 4*a**2/9 - 1082. Let p(w) = 0. Calculate w.
-4, -1, 0, 2
Let j be ((-4)/((-12)/(-27)))/1*(-12)/54. Let c(o) be the third derivative of -1/96*o**4 + 1/240*o**5 - 9*o**j + 0 + 0*o + 0*o**3. Find z such that c(z) = 0.
0, 1
Factor 155/11*n**2 + 158/11*n - 1/11*n**3 - 312/11.
-(n - 156)*(n - 1)*(n + 2)/11
Suppose -6*h = 4*w - 76 - 52, -9*w = -h + 2. Solve 84*m**w + 0 - 3/4*m**5 - 48*m - 21/2*m**4 - 99/4*m**3 = 0 for m.
-8, 0, 1
Let d(p) = 1325*p**2 + 248*p + 12. Let x = 88 - 79. Suppose -21 = -x*y + 6. Let o(j) = -1326*j**2 - 246*j - 12. Let u(m) = y*d(m) + 2*o(m). Factor u(i).
3*(21*i + 2)**2
Let n(w) = 28*w**4 - 8*w**3 - 2*w**2 + 2*w - 4. Let q = 234 + -241. Let l(t) = 84*t**4 - 24*t**3 - 7*t**2 + 7*t - 14. Let k(c) = q*n(c) + 2*l(c). Factor k(s).
-4*s**3*(7*s - 2)
Let p(d) be the first derivative of d**5/90 + 31*d**4/36 + 10*d**3/3 + 99*d**2/2 - 2*d - 22. Let x(s) be the second derivative of p(s). Factor x(o).
2*(o + 1)*(o + 30)/3
Let b = -66517 + 465620/7. Factor 0 - 2/7*r + 0*r**3 - 3/7*r**2 + b*r**4.
r*(r - 2)*(r + 1)**2/7
Factor -104/5*p**3 + 0*p + 6/5*p**4 + 34/5*p**2 + 0.
2*p**2*(p - 17)*(3*p - 1)/5
Let q(w) be the second derivative of 59/60*w**4 + 29/30*w**3 + 0 + 0*w**2 + 31/100*w**5 - 32*w + 1/150*w**6. Find c, given that q(c) = 0.
-29, -1, 0
Let j = -575 - -586. Suppose -5 + j = 3*f. Factor 2/5*o**f + 0 - 2/5*o.
2*o*(o - 1)/5
Let s(p) be the third derivative of -p**7/1260 - p**6/72 + p**5/360 + 5*p**4/72 + 16*p**2. What is b in s(b) = 0?
-10, -1, 0, 1
Let q(c) be the third derivative of -119*c**6/156 + 1189*c**5/390 + c**4/78 - 21*c**2 + 96*c. What is g in q(g) = 0?
-1/595, 0, 2
Let f(u) be the second derivative of u**4/8 + 53*u**3/4 - 81*u**2/2 - 319*u + 5. Factor f(m).
3*(m - 1)*(m + 54)/2
Let k = 49095 + -49077. Let d(x) be the third derivative of x**4 + 0 + k*x**2 - 3/40*x**5 + 3*x**3 + 0*x. Factor d(m).
-3*(m - 6)*(3*m + 2)/2
Let z(k) be the first derivative of 3/2*k**2 + 37 - 1/15*k**3 - 14/5*k. Factor z(s).
-(s - 14)*(s - 1)/5
Let t = -381 + 383. Factor 30*j**2 - 58*j**t + 32*j**2 + 317 - 120*j + 583.
4*(j - 15)**2
Let x(a) be the second derivative of a**5/5 - 55*a**4 + 328*a**3/3 - 2*a + 78. Find d, given that x(d) = 0.
0, 1, 164
Let y(f) = -11*f + 140. Let t be y(-24). Let a = -401 + t. Factor 0 + 2/15*v**4 + 2/15*v**a - 2/15*v - 2/15*v**2.
2*v*(v - 1)*(v + 1)**2/15
Let g(k) be the first derivative of 4*k**5 + 938*k**4/9 - 236*k**3/9 - 1276*k**2/9 - 224*k/3 + 6199. Let g(d) = 0. Calculate d.
-21, -4/9, -2/5, 1
Factor 237/5 + 947/5*c - 4/5*c**2.
-(c - 237)*(4*c + 1)/5
Let z = 552/1399 + 2836/6995. Let -z*x - 6/5 + 2/5*x**2 = 0. Calculate x.
-1, 3
Let k(y) be the third derivative of -5*y**2 + 0 - 1/8*y**4 + 0*y**3 - 1/120*y**6 + 6*y - 1/15*y**5. Let k(r) = 0. What is r?
-3, -1, 0
Let n(m) be the third derivative of -m**8/840 - m**7/105 - m**6/60 - 11*m**3/6 - 58*m**2. Let u(c) be the first derivative of n(c). Solve u(g) = 0 for g.
-3, -1, 0
Suppose 0 = -21*n + 6*n + 45. Factor -206*w**4 - 3 + 3 + 203*w**4 + n*w**2.
-3*w**2*(w - 1)*(w + 1)
Factor -2240 + 770391*w**3 - 770316*w**3 + 4*w**4 - 248*w**2 - 1755*w**2 + 9456*w.
(w - 8)**2*(w + 35)*(4*w - 1)
Factor -13327*u + 4513*u + 5*u**2 + 3863*u + 4381*u.
5*u*(u - 114)
Let k(t) be the first derivative of -t**4/6 + 17*t**3/3 - 16*t**2 + 80*t - 141. Let s(x) be the first derivative of k(x). What is q in s(q) = 0?
1, 16
Let z(i) be the second derivative of -i**4 + 6*i**2 + 0 - 1/2*i**3 + 3/20*i**5 - 52*i. Factor z(a).
3*(a - 4)*(a - 1)*(a + 1)
Let d be (-7 - 64/(-12))/((-2)/(-738)). Let g = d + 617. Determine p, given that 243/8 + 3/8*p**g + 27/4*p = 0.
-9
Let t(l) be the first derivative of 2*l**5/5 + 503*l**4/2 - 336*l**3 + 2172. Factor t(y).
2*y**2*(y - 1)*(y + 504)
Let j = 47236/9405 + -8/1881. Let m = j + -21/5. Factor -m - 1/11*w**2 - 6/11*w.
-(w + 3)**2/11
Let x(j) be the third derivative of j**7/1575 - 7*j**6/450 + 22*j**5/225 - 2*j**4/9 + 4*j**2 - 14. Factor x(t).
2*t*(t - 10)*(t - 2)**2/15
Factor 0 + 6/7*t**4 - 36/7*t**3 - 54/7*t**2 - 3*t + 9/7*t**5.
3*t*(t + 1)**3*(3*t - 7)/7
Suppose 0 = -u + 2*u - 4. Let j = 12545322/7 - 1792188. Suppose 0 + 0*k**2 + j*k**3 - 8/7*k - 2/7*k**u = 0. What is k?
-1, 0, 2
Let f = 2411 - 2404. Let t(g) = g**2 - 9*g + 3. Let y(k) = -3*k**2 + 19*k - 7. Let x be (-9)/2*2/(-3). Let l(w) = f*t(w) + x*y(w). Factor l(h).
-2*h*(h + 3)
Let q be ((-24)/(-16))/(3/(-150)). Let z = q - -78. Factor 0 - 1/2*c**z + 5/2*c**2 - 3*c.
-c*(c - 3)*(c - 2)/2
Let u = 19581/16315 + -3/16315. Let z(m) be the second derivative of 24*m + u*m**6 - 16*m**2 + 40/3*m**3 - 2/3*m**4 - 21/5*m**5 + 0. Factor z(h).
4*(h - 2)*(h + 1)*(3*h - 2)**2
Suppose -1488*u = -62 - 4402. Suppose h = -r - 0*r + 6, r + 4*h = 9. What is y in -6*y**2 - u*y**3 - r*y - 3/2 - 1/2*y**4 = 0?
-3, -1
Find g, given that -2953*g**4 - 2947*g**4 + 5901*g**4 + 15876*g**2 - 252*g**3 = 0.
0, 126
Let b(x) be the first derivative of -x**6/960 - x**5/120 + 11*x**4/192 - x**3/8 + 31*x**2 + 1. Let d(c) be the second derivative of b(c). Factor d(n).
-(n - 1)**2*(n + 6)/8
Let s(h) be the second derivative of -h**7/25200 + h**6/1800 + h**5/100 + 7*h**4/12 + 5*h**3/6 + 182*h. Let t(q) be the third derivative of s(q). Factor t(y).
-(y - 6)*(y + 2)/10
Suppose -17*w - 835 = -22*w. Let q = w - 1501/9. Factor -2/9*d**3 - 4/9*d**2 - q*d + 0.
-2*d*(d + 1)**2/9
Let q(z) = z**3 + 8*z**2 + 4*z + 35. Let g be q(-8). Factor 59*r + 49*r**g + 52*r + 273*r**2 + 20 + 33*r.
(r + 5)*(7*r + 2)**2
Let d(o) be the first derivative of -o**6/21 + 12*o**5/35 - o**4/14 - 16*o**3/7 + 20*o**2/7 - 465. Determine g so that d(g) = 0.
-2, 0, 1, 2, 5
Let a(r) = 2*r**2 + 35*r + 20. Let d be a(-17). Suppose 4*o = 7*s - 6*s + 10, -3*o = -d*s - 3. Factor 0 - 2/3*v**3 - 2*v**s + 0*v.
-2*v**2*(v + 3)/3
Let s(b) be the third derivative of -b**5/360 - 679*b**4/144 - b**2 + 3*b + 211. Find q, given that s(q) = 0.
-679, 0
Suppose -10*s + 2*s + 112 = 0. Factor 2*m**3 - 14*m**2 + s + 3*m**3 - 2*m - 3*m**3.
2*(m - 7)*(m - 1)*(m + 1)
Suppose 118/3*m**2 - 5/3 + 589/3*m = 0. Calculate m.
-5, 1/118
Let c be 1 + -6 + 15908/(-34). Let u = c - -473. Factor -u*t**4 - 4/17*t**3 + 0*t**2 + 4/17*t + 2/17.
-2*(t - 1)*(t + 1)**3/17
Let d(m) = -m**3 - 5*m**2 - 6*m - 11. Let n be d(-4). Let x = 5 + n. Solve y**5 + 84*y**4 + 48*y**3 + 38*y**x - 72*y**4 + 26*y**2 = 0 for y.
-4, 0
Let p(q) = 2*q**3 - 33*q**2 + 84*q + 1. Let l(x) = -11*x**3 + 163*x**2 - 421*x - 19. Let b(a) = 3*l(a) + 16*p(a). Factor b(d).
-(d - 1)**2*(d + 41)
Let k be 1551/132*(2 - 4) - -25. Factor -7/4*f - 9/2*f**2 - 5/4*f**3 + k.
-(f + 1)*(f + 3)*(5*f - 2)/4
Let r be (13/(-25) - -1)/(49604/62005). Solve -r*s**3 - 12 + 84/5*s - 21/5*s**2 = 0 for s.
-10, 1, 2
Find w such that -130/21*w + 2/21*w**3 - 62/21*w**2 - 22/7 = 0.
-1, 33
Let w(j) = 18*j**2 + 51*j + 21. Let u(q) = 5*q**2 + 17*q + 6. Let z(h) = -7*u