 7/8*y**4 + 1/30*y**6 + 18*y**2 + 0*y + 2/5*y**p + 5/6*y**3. Factor m(n).
(n + 5)*(2*n + 1)**2
Let x(z) = 2*z**2 + z - 4. Let p be x(4). Determine v, given that 0*v - v**3 + 15*v + 3*v - 4*v**2 - v**2 - 10*v**2 + p = 0.
-16, -1, 2
Let y(i) be the third derivative of 17/16*i**4 + 0 + 1/80*i**5 + 289/8*i**3 - 78*i**2 + 0*i. Factor y(n).
3*(n + 17)**2/4
Let y = 70 - 66. Suppose 0*g + y = -2*g + 4*f, 19 = 4*g + f. Suppose 17/2*v**g + 9*v**3 - 3/2 - 11/2*v - 19/8*v**2 + 2*v**5 = 0. Calculate v.
-2, -1/2, 3/4
Let f be (9*7/(-10))/(41/(15990/(-234))). Factor -f*c**3 + 57/2*c - 36*c**2 + 18.
-3*(c - 1)*(c + 4)*(7*c + 3)/2
Let g(f) = -8*f**3 + 16*f**2 - 4*f + 4. Let a(t) = -t**4 + t**3 + 2*t + 2. Let d(r) = 2*a(r) - g(r). Find z, given that d(z) = 0.
0, 1, 2
Suppose -43*q = -46*q + 234. Let a be 45/2*13/q. Factor 15*s**2 - 15/2*s**3 + 5/4*s**4 - 25/2*s + a.
5*(s - 3)*(s - 1)**3/4
Let y(c) be the second derivative of 3*c**7/56 + c**6/80 - 9*c**2/2 + 11*c + 3. Let h(n) be the first derivative of y(n). Factor h(r).
3*r**3*(15*r + 2)/4
Suppose 0 = -l + 2*u + 35, -3*l + 20*u = 17*u - 93. Suppose -l - 76*i**2 + 81*i**2 + 15*i + 7 = 0. What is i?
-4, 1
Suppose 4950 = 5036*n - 5021*n. Let c(p) be the first derivative of 605/3*p**3 + 180*p + n*p**2 - 7. What is h in c(h) = 0?
-6/11
Let o(t) be the second derivative of t**6/15 + 92*t**5/5 + 182*t**4/3 + 30*t - 1. Let o(h) = 0. What is h?
-182, -2, 0
Let k(d) be the third derivative of 0*d - 14*d**2 - 1 + 32/15*d**3 + 2/5*d**4 + 1/600*d**6 - 1/20*d**5. Factor k(r).
(r - 8)**2*(r + 1)/5
Let u(m) = -3*m**2 + 4*m - 5. Let q(i) = 26 - 44*i + 19*i**2 + 9*i + 10*i + 6. Let y(s) = 6*q(s) + 39*u(s). Factor y(a).
-3*(a - 1)**2
Let n(w) be the second derivative of w**5/150 - 5*w**4/2 + 296*w**3/15 - 884*w**2/15 - 1413*w. Suppose n(a) = 0. What is a?
2, 221
Let g = -5981 + 5985. Let t(c) be the first derivative of 236/3*c**3 + 5/2*c**g - 576*c + 36 + 672*c**2. Find l such that t(l) = 0.
-12, 2/5
Suppose -31*h + 28*h + 27 = 0. Suppose -w - 3 = -h. Suppose -s**4 - 14*s**3 - 17*s + 9 + 6*s**5 - 3*s**5 - w + 30*s**2 - 4*s**3 = 0. What is s?
-3, 1/3, 1
Let t(i) be the first derivative of -101 + 63/8*i - 33/8*i**2 + 1/8*i**3. What is y in t(y) = 0?
1, 21
Suppose 0 = 29*i + 14893 - 14980. Let v(s) be the first derivative of -245/6*s**6 - 19 + 0*s**2 - 175*s**5 - 110*s**4 - 20*s**i + 0*s. Factor v(c).
-5*c**2*(c + 3)*(7*c + 2)**2
Let h be -69 + (16415/196 - 14). Let 57/4*c**2 + 45 + h*c**3 + 48*c = 0. What is c?
-15, -2
Let b(u) be the first derivative of -2*u**3/33 - 111*u**2/11 - 2020*u/11 + 420. Find c such that b(c) = 0.
-101, -10
Factor -88/3 + 14/3*k**3 - 62*k**2 + 120*k.
2*(k - 11)*(k - 2)*(7*k - 2)/3
Let i(j) = -4*j**2 - 895*j - 5. Let a(h) = 5*h**2 + 940*h + 6. Let w(x) = -5*a(x) - 6*i(x). Factor w(g).
-g*(g - 670)
Suppose -z - 41 = 5*u - 37, 0 = u + 6*z + 24. Let q(p) be the second derivative of -1/240*p**6 + 5*p + 0 + 0*p**3 + u*p**2 + 1/80*p**5 - 1/96*p**4. Factor q(d).
-d**2*(d - 1)**2/8
Find i such that 33 + 3*i + 14*i**3 - 6*i - 32*i**2 + i**4 - 8*i - 3*i - 2*i**4 = 0.
-1, 1, 3, 11
Factor 55*h - 2555/6 + 5/6*h**2.
5*(h - 7)*(h + 73)/6
Factor 72*m**2 - 78*m + 127 + 217 + 21*m**2 - 95*m**2.
-2*(m - 4)*(m + 43)
Let u(q) be the third derivative of -49*q**2 - 11*q**4 - 1/4*q**6 + 0*q + 1/105*q**7 + 37/15*q**5 + 24*q**3 + 0. Determine h, given that u(h) = 0.
1, 2, 6
Suppose 19 + 48 = 35*z - 178. Let p(k) be the third derivative of z*k**2 + 7/20*k**4 + 0 + 0*k + 3/100*k**5 + 4/5*k**3. Let p(w) = 0. What is w?
-4, -2/3
Let c(x) be the second derivative of x**4/3 + 6520*x**3/3 + 5313800*x**2 - 11174*x. Factor c(g).
4*(g + 1630)**2
Let k = 43 + -3. Suppose 3*h = k + 41. Factor 36*a**2 - 4*a**3 - 52*a**2 - 8 - h*a + 7*a.
-4*(a + 1)**2*(a + 2)
Factor -1212*o**3 - 3612*o**2 + 1193*o - 79*o**4 + 35*o**4 + 40*o**4 - 4797*o - 616 - 584.
-4*(o + 1)**3*(o + 300)
Let s = 5057 + -80911/16. Let k(v) be the first derivative of 1/40*v**5 + 1/8*v + 18 - 1/12*v**3 - 1/48*v**6 + s*v**4 - 1/16*v**2. Factor k(i).
-(i - 1)**3*(i + 1)**2/8
Factor -65071*s**2 + 32529*s**2 - 116*s + 32538*s**2 + 1560.
-4*(s - 10)*(s + 39)
Let u(n) be the third derivative of n**7/315 + 689*n**6/180 - 691*n**5/30 + 2075*n**4/36 - 692*n**3/9 - 3321*n**2. Factor u(z).
2*(z - 1)**3*(z + 692)/3
Let o(m) = -2*m**3 + 1. Let p(x) = -5*x**3 - 40*x**2 - 100*x + 5. Let g(t) = 5*o(t) - p(t). Factor g(y).
-5*y*(y - 10)*(y + 2)
Let a(p) = -50*p + 1261. Let v be a(26). Let j(l) = -31*l - 1204. Let y be j(v). Factor -2/9*w**2 - 2/3*w**4 - 2/3*w**3 + 0*w + 0 - 2/9*w**y.
-2*w**2*(w + 1)**3/9
Let d be -4*(33/(-6) - -5). Factor 4*i**2 - i**d + 48 + 180*i + 33*i**2 - 7*i**3 - 14*i**3.
-3*(i - 4)*(i + 2)*(7*i + 2)
Let v(h) = 82*h**3 - 81*h**2 - 285*h - 224. Let c(q) = -29*q**3 + 27*q**2 + 95*q + 75. Let o(d) = 17*c(d) + 6*v(d). Factor o(u).
-(u + 1)*(u + 3)*(u + 23)
Let v be (76/15 - 4 - (-7 + 9))/(1148/(-1640)). Determine h so that v*h**2 - 4 + 10/3*h - 2/3*h**3 = 0.
-2, 1, 3
Let n be 672/420*330/616. Solve -72/7*v + 6/7*v**5 - n*v**3 + 24/7 - 18/7*v**4 + 66/7*v**2 = 0.
-2, 1, 2
Let c(h) be the second derivative of -1/9*h**3 + 0*h**2 + 0 - 1/18*h**4 - 180*h. Factor c(g).
-2*g*(g + 1)/3
Let i(w) be the third derivative of -11/210*w**5 - 10/21*w**4 - 4/3*w**3 + 1/420*w**6 + 0 - 113*w**2 + 0*w. Factor i(r).
2*(r - 14)*(r + 1)*(r + 2)/7
Let v(n) = 3*n**4 + 83*n**3 - 69*n**2 - 78*n + 81. Let i(z) = 2*z**4 + 82*z**3 - 70*z**2 - 78*z + 80. Let p(q) = 10*i(q) - 8*v(q). Let p(c) = 0. What is c?
-1, 1, 38
Let v(w) = 3*w + 8. Suppose -25 + 129 = -52*q. Let z be v(q). Determine t so that -z*t**2 - 10/9*t**3 - 14/9*t - 2/9*t**4 - 4/9 = 0.
-2, -1
Let x(z) be the third derivative of -3/200*z**6 + 0 - 5*z - 3/10*z**4 - 16*z**2 + 7/75*z**5 + 8/15*z**3 + 1/1050*z**7. Determine l so that x(l) = 0.
1, 2, 4
Let n(m) = 2*m**3 - 533*m**2 - 285*m + 4813. Let p be n(267). Factor -p*w**2 - 1/3*w**4 - 98/3*w + 4*w**3 + 0.
-w*(w - 7)**2*(w + 2)/3
Let u = -2093324/3 - -697775. Factor u + 7/3*c + 2*c**2.
(c + 1)*(6*c + 1)/3
Let y be (2/(-15))/(-168 - -166). Let r(q) be the first derivative of y*q**4 + 0*q - 8 - 2/15*q**2 + 2/75*q**5 - 2/45*q**3. Factor r(i).
2*i*(i - 1)*(i + 1)*(i + 2)/15
Let w(x) be the second derivative of 3*x**4/2 + 91*x**3/6 + 5*x**2/2 + 1448*x. Factor w(a).
(a + 5)*(18*a + 1)
Let v(g) = -g**2 - 23*g + 52. Let x be v(-25). Factor -305*c + 5*c**3 - 15*c**x + 305*c.
5*c**2*(c - 3)
Let s(j) be the first derivative of j**4/18 + 1414*j**3/27 - 1417*j**2/9 + 1418*j/9 - 4301. Solve s(g) = 0 for g.
-709, 1
Let u(l) be the second derivative of -l**4/24 - 11*l**3/6 - 105*l**2/4 + 11*l + 57. Find g such that u(g) = 0.
-15, -7
Let n be -5 - -5 - (40/3900)/((-2)/10). Let t(o) be the first derivative of 18 - 18/13*o - 6/13*o**2 - n*o**3. Find m such that t(m) = 0.
-3
Let a(x) be the second derivative of x**6/1080 + x**5/45 + 7*x**4/72 + 94*x**3/3 - 173*x. Let u(h) be the second derivative of a(h). Let u(c) = 0. What is c?
-7, -1
Let h(y) = -2*y**2. Suppose -3*n - 11 = -14. Let f(i) = -26*i**2 + 18*i - 4. Let b(g) = n*f(g) - 6*h(g). Let b(o) = 0. What is o?
2/7, 1
Let t(j) be the first derivative of 25/12*j**4 + 5 + 0*j - 125/6*j**3 - 7*j**2 - 1/12*j**5. Let b(k) be the second derivative of t(k). Solve b(o) = 0.
5
Let h(v) = -10*v - 75. Let j be h(-7). Let d be 9/8*(j + 34/6). Factor -21/8*m**3 + d*m**2 + 21/2*m - 3.
-3*(m - 2)*(m + 2)*(7*m - 2)/8
Let h(o) be the third derivative of -o**5/240 - 149*o**4/96 - 49*o**3/4 + 4373*o**2 - 2. Let h(n) = 0. What is n?
-147, -2
Let q(d) = d**3 - 10*d**2 + d - 19. Let s be q(10). Let b(n) = n**2 + 9*n + 2. Let c be b(s). Factor -11 + 10*x**2 + 6*x**c + 19 - x**3 + 20*x + 5*x**3.
4*(x + 1)**2*(x + 2)
Let y be (5980/(-7774))/(20/(-845)). Factor 4598*i**2 + 0 - 5324*i + y*i**4 + 1/2*i**5 + 693*i**3.
i*(i - 1)*(i + 22)**3/2
Suppose 180 - 565 = -276*o + 443. Let u(a) be the second derivative of 0 + 1/12*a**o - 1/48*a**4 + 21*a + 3/8*a**2. Factor u(w).
-(w - 3)*(w + 1)/4
Suppose 0 = -4*j + 5*j - 3. Let u be (-1 - -7)*1/j. Factor 2*p**2 - 7*p**2 - 6 + 3*p**u - 8*p.
-2*(p + 1)*(p + 3)
Let v(d) be the first derivative of -d**4/2 - 58*d**3 + 268*d**2 - 360*d - 6132. Factor v(s).
-2*(s - 2)*(s - 1)*(s + 90)
Find w such that -722454 - 1388*w - 2/3*w**2 = 0.
-1041
Let o = -703 -