w**3/3 + 19*w**2/2 - 78. Let i(q) be the third derivative of u(q). Factor i(m).
(m - 3)**2/2
Factor 0 + 38/7*a**3 + 2/7*a**4 - 2/7*a**2 - 38/7*a.
2*a*(a - 1)*(a + 1)*(a + 19)/7
Let c(l) = 60*l**4 + 730*l**3 + 1577*l**2 + 948*l + 158. Let t(b) = -63*b**4 - 731*b**3 - 1582*b**2 - 948*b - 160. Let i(v) = -4*c(v) - 5*t(v). Factor i(f).
3*(f + 2)*(f + 7)*(5*f + 2)**2
Let u(i) be the third derivative of -3*i**6/320 - 89*i**5/40 + 359*i**4/48 - 10*i**3 + 1003*i**2. Find w, given that u(w) = 0.
-120, 2/3
Let d be (30/24 - 0) + (-1)/(-4). Let x(h) = 19*h + 1254. Let w be x(-66). Suppose 0*q**4 + d*q**5 + w - 9/2*q**3 + 0*q + 3*q**2 = 0. Calculate q.
-2, 0, 1
Let w(i) be the second derivative of i**6/50 - 57*i**5/50 - 4*i**4 + 775*i. Factor w(a).
3*a**2*(a - 40)*(a + 2)/5
Let z(d) = -d**3 + d**2 - d - 1. Let p be z(-1). Let a be 16 + (1/(-3))/(38/1482). Factor -6/5*k**p - 8/5*k**a + 2/5*k + 0.
-2*k*(k + 1)*(4*k - 1)/5
Let a(o) be the third derivative of -209*o**6/20 - 43*o**5/20 + 3*o**4/4 + 2*o**2 - 19. Suppose a(d) = 0. Calculate d.
-2/11, 0, 3/38
Let t(z) = -12*z**2 + 3874*z + 20. Let j(x) = -4*x**2 + 1291*x + 6. Let m(l) = -10*j(l) + 3*t(l). Solve m(q) = 0 for q.
0, 322
Factor -18*s**2 - 4*s - 15*s**2 - 13*s**2 + 57*s**2 - 16*s**2 - s**3.
-s*(s + 1)*(s + 4)
Let u(s) be the first derivative of -s**4/14 - 34*s**3/21 + 81*s**2/7 - 18*s + 2108. Solve u(a) = 0.
-21, 1, 3
Let d(a) be the first derivative of 27*a**4/4 - 47*a**3 - 174*a**2 + 84*a + 1348. Suppose d(n) = 0. Calculate n.
-2, 2/9, 7
Find m, given that -1407*m**5 - 224*m**2 + 1411*m**5 - 62*m**4 - 38*m**4 - 328*m**3 = 0.
-2, -1, 0, 28
Factor 576*y + 20*y**2 + 2524 - 974 + 5629*y.
5*(y + 310)*(4*y + 1)
Let l be (-134)/10 - (-840)/(2700/45). Factor -3 + 3/5*t + 3*t**2 - l*t**3.
-3*(t - 5)*(t - 1)*(t + 1)/5
Let y(c) be the first derivative of 4/65*c**5 - 1/12*c**4 + 2/39*c**3 + 0*c - 3/260*c**6 - c**2 + 3. Let p(i) be the second derivative of y(i). Factor p(n).
-2*(n - 2)*(3*n - 1)**2/13
Let b be 0/(-1)*(34 - 35). Let r be -12 + 3000/165 - (b - -6). Factor -4/11*d**2 - 2/11*d + r*d**3 + 4/11.
2*(d - 2)*(d - 1)*(d + 1)/11
Let h = -95 - -98. Let l(w) = -w**2 + 1. Let z(v) = -42*v - 42. Let q(s) = h*l(s) + z(s). Factor q(o).
-3*(o + 1)*(o + 13)
Let d = -51 + 106. Let q be ((-11)/(d/2))/(1/(-20)). Determine r so that -97*r + 51*r + 54*r + 2*r**2 + q = 0.
-2
Let q(g) = -g - 2. Let k(x) = 5*x**2 - 7*x + 4*x - 12*x - 26 - 3*x**2 - 12*x. Let w(t) = k(t) + 3*q(t). Factor w(i).
2*(i - 16)*(i + 1)
Let v(z) be the second derivative of -z**6/30 - 9*z**5/5 - 45*z**4/2 - 126*z**3 - 729*z**2/2 + 2334*z - 1. Solve v(k) = 0.
-27, -3
Let f(o) be the second derivative of o**7/189 + 148*o**6/135 + 1181*o**5/18 + 15979*o**4/27 + 61628*o**3/27 + 40328*o**2/9 - 5317*o. Factor f(k).
2*(k + 2)**3*(k + 71)**2/9
Find o, given that 10725*o - 124 - 10537*o - 31*o**2 + o**3 - 34*o**2 = 0.
1, 2, 62
Let a(f) be the second derivative of -3*f**5/100 + 11*f**4/20 - 3*f**3 + 15*f + 26. Factor a(x).
-3*x*(x - 6)*(x - 5)/5
Solve 191/8*q**3 + 273861/8*q + 250047/4 + 1/8*q**4 + 12285/8*q**2 = 0.
-63, -2
Let v(f) = 4*f**3 + 20*f**2 + 30*f + 12. Let c(d) = -4*d**3 + 0*d**2 + 751*d - 8 - 4 - 782*d - 20*d**2. Let t(i) = -2*c(i) - 3*v(i). Let t(x) = 0. Calculate x.
-3, -1
Let b(q) be the first derivative of q**5/210 + q**4/21 + q**3/7 - 9*q**2 + 42. Let g(k) be the second derivative of b(k). Factor g(o).
2*(o + 1)*(o + 3)/7
Let g(y) = -3*y**3 + 30*y**2 + 69*y + 36. Let f be g(12). Solve 2/11*b**3 + 0 + f*b - 4/11*b**2 = 0 for b.
0, 2
Let m(p) be the second derivative of p**5/200 - 5*p**4/24 - 34*p**3/5 - 333*p**2/5 + 680*p - 2. What is b in m(b) = 0?
-6, 37
Factor 115*k - 18767174*k**2 + 37*k**3 + 25 + 44*k**3 + 18767345*k**2.
(k + 1)*(9*k + 5)**2
Let j(i) = -6*i**2 + 7 + 11 - 19 + 5. Let x(h) = -h**2. Let d be 6 - -2*1/(-2). Let v(p) = d*x(p) - j(p). Factor v(c).
(c - 2)*(c + 2)
Let t(m) = -62*m**2 + 3901*m - 7890. Let c(i) = 45*i**2 - 2600*i + 5260. Let a(o) = 7*c(o) + 5*t(o). Factor a(s).
5*(s - 2)*(s + 263)
Suppose 0*c = -5*c - 5*y + 35, 5*c - 4*y + 1 = 0. Determine r so that -66*r**2 - c*r**4 + r**4 - 81*r**2 - 135*r - 21*r**3 - 81 - 35*r**2 + 101*r**2 = 0.
-3, -3/2
Suppose 3*m - 29 + 0 = 4*n, -4*m + 4*n = -36. Let r be (4*9/(-336))/((-6)/m). Factor -3/8*g + 1/4 + r*g**2.
(g - 2)*(g - 1)/8
Let l(s) = s**5 + 4*s**4 - s**3 + s**2 + s - 1. Let u(j) = -6*j**5 + 46*j**4 - 199*j**3 + 399*j**2 - 401*j + 161. Let g(z) = l(z) + u(z). Factor g(a).
-5*(a - 2)**5
Solve -32/5*k**5 - 144/5*k**4 + 6*k + 196/5*k**2 - 72/5 - 18/5*k**3 = 0 for k.
-4, -1, 3/4
Let v(l) be the first derivative of -l**4/24 - 37*l**3/9 + l**2/12 + 37*l/3 + 2161. Factor v(t).
-(t - 1)*(t + 1)*(t + 74)/6
Let r be 2261/3724 + 134/(-40) + 4 + (-2)/5. Let h = -8 - -58/7. Solve h*z**2 + 4/7 - r*z = 0.
1, 2
Let s(f) be the first derivative of 500/3*f - 200/3*f**2 + 4/3*f**4 - 40/3*f**3 + 4/15*f**5 - 163. Factor s(z).
4*(z - 5)*(z - 1)*(z + 5)**2/3
Let l be (-5 - (-27)/(1755/338))*1. Suppose 18/5 - 19/5*i + l*i**2 = 0. What is i?
1, 18
Suppose 3*v + 12 = x, -2*x - 2 = -3*v - 17. Factor 8*k**4 - k**5 - 19*k**3 + 28*k**2 - 1 + 5 - 3*k**x - 17*k.
-(k - 4)*(k - 1)**4
Let a(h) be the third derivative of -h**6/720 + h**5/24 + h**4/144 - 5*h**3/12 - 15*h**2 + 3. Factor a(r).
-(r - 15)*(r - 1)*(r + 1)/6
Let d(s) be the first derivative of -45/2*s**2 + 3*s**5 + 5/4*s**4 - 10*s + 32 - 15*s**3. Factor d(m).
5*(m - 2)*(m + 1)**2*(3*m + 1)
Suppose -19 = -2*v + 2*t + 27, 2*v - 46 = -4*t. Let w = v - 19. What is s in 0 + 0*s - 3/8*s**3 + 0*s**2 + 3/8*s**w = 0?
0, 1
Let k(y) = -13230*y**3 + 250131*y**2 + 23973*y + 570. Let b(a) = 1323*a**3 - 25013*a**2 - 2397*a - 57. Let r(p) = 21*b(p) + 2*k(p). Factor r(i).
3*(i - 19)*(21*i + 1)**2
Solve 9/5*a**3 + 0 - 3/2*a**2 - 1/10*a**4 - 17/5*a = 0.
-1, 0, 2, 17
Factor 12279*d**2 - 2*d**4 + 12863*d + 5*d**4 + 10911*d - 9538*d + 11532 + 9200*d + 378*d**3.
3*(d + 1)**2*(d + 62)**2
Let u be (11/3)/(3403/246 - 12). Solve -4*f**u + 12/5*f + 36/5 + 4/5*f**3 = 0.
-1, 3
Let j(t) = -t**3 - 12*t**2 + 19*t + 332. Let b be j(-11). Factor -5/6*v**b + 15 - 35/6*v.
-5*(v - 2)*(v + 9)/6
Let g(a) be the first derivative of -a**7/588 - a**6/630 - 68*a**3/3 + 45. Let j(w) be the third derivative of g(w). Determine u, given that j(u) = 0.
-2/5, 0
Let t be (-468)/52 - ((-4)/22 + 1547/(-143)). Solve 18*r**t + 6*r**3 + 8 + 2/3*r**4 + 62/3*r = 0 for r.
-4, -3, -1
Let n(g) be the second derivative of 81/14*g**2 - 3/7*g**3 + 0 - 69*g + 1/84*g**4. Factor n(q).
(q - 9)**2/7
Suppose 0 = -w + 3, -2*w = -5*k - 4*w + 171. Let m be (-144)/(-66) + (-6)/k. Factor s**3 - 80*s + s**3 + m*s**3 + 84*s + 8*s**2.
4*s*(s + 1)**2
Let f = -445 - -585. Suppose 0 = 10*r - 38*r + f. Determine n so that 0 - 2*n**4 - 5/2*n**3 - n**2 + 0*n - 1/2*n**r = 0.
-2, -1, 0
Determine o, given that -11/2*o**2 - 1/2*o**3 + 17*o + 52 = 0.
-13, -2, 4
Suppose 5*f + 273 - 1278 = 0. Find w such that 200*w**3 - 977*w + 235*w**4 - 15*w**5 - 206*w**3 - 2390*w**2 - 604*w**3 - 204 - 958*w - f = 0.
-1, -1/3, 9
Let p be (-7)/91*-190 - (-1428)/(-102). Find b, given that 10/13*b**5 - 30/13*b**3 + 4/13*b**4 + p*b + 0 + 8/13*b**2 = 0.
-2, -2/5, 0, 1
Let r be -1*(-23 + 2610/116). Determine f, given that -f - 1/2 - r*f**2 = 0.
-1
Let o(r) be the first derivative of r**6/120 + 3*r**5/4 + 225*r**4/8 - 5*r**3/3 + 49. Let i(c) be the third derivative of o(c). Find s, given that i(s) = 0.
-15
Suppose -2*b = -30*b + 112. Solve -b*m**4 + 7*m**2 - 19*m**2 + 307*m - 16*m**3 - 307*m = 0.
-3, -1, 0
Let m(r) be the first derivative of -r**7/840 + r**6/72 + 4*r**5/15 + 3*r**4/2 - 104*r**3/3 - 184. Let n(h) be the third derivative of m(h). Factor n(j).
-(j - 9)*(j + 2)**2
Let m(s) be the third derivative of -s**5/510 - 1029*s**4/34 - 3176523*s**3/17 - 5*s**2 + 884. Solve m(o) = 0 for o.
-3087
Let j = -168/5 + 5178/155. Let q = j - -7613/93. Find k such that -20*k + 0 + 400/3*k**2 - 595/3*k**3 - q*k**4 = 0.
-3, 0, 2/7
Let k(v) = 73*v**3 - 116*v**2 + 44*v - 2. Let b(g) = 145*g**3 - 230*g**2 + 86*g - 5. Let w(a) = -2*b(a) + 5*k(a). Factor w(l).
3*l*(5*l - 4)**2
Let v(x) = -2*x**3 + 4*x**2 + 4*x - 2. Let k be v(-2). Factor 12*t**3 - 3*t**4 + k*t**2 - 37*t**2 + 6*t**2.
-3*t**2*(t - 3)*(t - 1)
Let n(s) be the third derivative of 0*s - 35/6*s**3 - 5/3*s**4