 + 1)*(f + 2)
Let 119/4*m**2 - 3 + 32*m - 11*m**3 - 23/4*m**4 = 0. Calculate m.
-3, -1, 2/23, 2
Let o(t) be the third derivative of t**7/840 - t**6/40 - t**5/10 + 5*t**4/6 - 27*t**3 + t**2 - 74*t. Let l(c) be the first derivative of o(c). Factor l(w).
(w - 10)*(w - 1)*(w + 2)
Determine b, given that 8 - 50/7*b**2 + 18/7*b**4 + 48/7*b - 2/7*b**5 - 22/7*b**3 = 0.
-1, 2, 7
Let j(d) be the second derivative of -2 - 23/39*d**3 + 9*d - 6/13*d**2 - 7/78*d**4. Factor j(h).
-2*(h + 3)*(7*h + 2)/13
Let p be (-5)/((-250)/(-15))*36/162*-9. Let g = 3918/5 + -774. Solve p*o**3 - g - 36/5*o + 0*o**2 = 0 for o.
-2, 4
Let z(h) be the second derivative of h**5/10 - 272*h**4/3 + 1084*h**3/3 - 3365*h. What is r in z(r) = 0?
0, 2, 542
Factor 12156/17*w - 2052338/17 - 18/17*w**2.
-2*(3*w - 1013)**2/17
Suppose -4*p - 19 = x - 7, 4 = -p. What is f in x + 16*f + 14*f**2 + 16*f**3 + 4*f**4 + 8*f**2 + 2*f**2 = 0?
-1
Let w(k) be the first derivative of -k**4/18 - 14*k**3/9 - 49*k**2/3 + 32*k - 69. Let b(h) be the first derivative of w(h). Find l such that b(l) = 0.
-7
Let q(j) = -j**2 - 1. Let y be (-1)/(-2)*-10 + 25. Let o(w) = -5*w - y + 6*w + 21 + 8*w**2. Let g(h) = 2*o(h) + 14*q(h). Suppose g(k) = 0. What is k?
-3, 2
Let c(q) = -q**3 + 12*q**2 + 5*q + 59. Let y be c(13). Let s be y*(-8)/(-440)*-6. Factor -46/11*h**4 + 0 + 14/11*h**5 - 26/11*h**2 + 4/11*h + s*h**3.
2*h*(h - 1)**3*(7*h - 2)/11
Let v(z) = 10*z + 132. Let j be v(-13). Find x such that -249*x**j + 69*x**2 + 3*x**3 - 24*x**2 - 1414*x + 4882*x = 0.
0, 34
Factor -2*j**3 - 4*j - 3*j - 17*j**2 - 26*j + 15*j + 41*j**2 - 44.
-2*(j - 11)*(j - 2)*(j + 1)
Suppose 108 = 264*j - 261*j. Let t be 1 - 10 - (-332)/j. Factor 50/9 + 20/9*q + t*q**2.
2*(q + 5)**2/9
Factor 14*s**3 + 874 - 446 + s**4 - 428 - 14*s - s**2.
s*(s - 1)*(s + 1)*(s + 14)
Let s be (7/14)/(1/30*3). Suppose i + s = 0, 4*h - 15*i = -17*i + 2. Factor 5/2*p - 25/4*p**2 - 5/4*p**4 + 0 + 5*p**h.
-5*p*(p - 2)*(p - 1)**2/4
Find g, given that 106/3*g**3 - 1/3*g**5 - 124/3*g**2 - 195*g - 350/3 - 2*g**4 = 0.
-14, -1, 5
What is f in 762/13*f + 760/13 + 2/13*f**2 = 0?
-380, -1
Let g(s) be the first derivative of -s**6/144 - s**5/24 - s**3/3 + s - 55. Let f(k) be the third derivative of g(k). Factor f(m).
-5*m*(m + 2)/2
Factor -5*i**3 - 59 + 269 - 507*i + 82*i + 220*i**2.
-5*(i - 42)*(i - 1)**2
Let m be ((-64)/(-200))/((-39)/15 + 3). Let p(l) be the first derivative of -m*l - 7/5*l**2 - 4/5*l**3 - 12. Suppose p(f) = 0. Calculate f.
-2/3, -1/2
Let n(b) be the second derivative of -2*b + 1/10*b**5 + 4*b**2 - 2/3*b**4 - 1/3*b**3 + 16. Suppose n(m) = 0. Calculate m.
-1, 1, 4
Factor -70/9 + 1/9*f**4 - 7/9*f**3 - 29/3*f**2 - 149/9*f.
(f - 14)*(f + 1)**2*(f + 5)/9
Let -621 - 2*g**5 + 38*g**4 - 3219 + 1088*g + 2128*g**2 + 642*g**3 - 54*g**3 = 0. Calculate g.
-4, 1, 30
Let a = -27 + 29. Let o be ((-15)/27)/(-5) - 17*24/(-216). Solve -o*l**a + 2/3*l**4 - 14/3*l + 4 + 2*l**3 = 0 for l.
-3, -2, 1
Let j(k) be the third derivative of -1/3*k**4 + 0*k**3 - 13*k**2 + 0 + 0*k**6 - 3*k - 1/5*k**5 + 2/105*k**7. Factor j(o).
4*o*(o - 2)*(o + 1)**2
Suppose -3*c + 95 = 5*i, -5*c - 69 = -3*i - 46. Let r be 1/(6 - (174/i - 7)). Solve -10/17*m**2 + r*m**3 + 0 + 2/17*m**4 + 0*m = 0.
-5, 0, 1
Let y(s) be the first derivative of -5*s**2 - 11/3*s**3 + 5/8*s**4 + 12*s + 2/5*s**5 + 129. Factor y(f).
(f - 2)*(f + 2)**2*(4*f - 3)/2
What is o in 26387957*o + 289680*o**3 + 28*o**5 - 26387957*o + 83232*o**2 - 5704*o**4 = 0?
-2/7, 0, 102
What is w in -3456/7 + 6*w**3 + 10344/7*w + 6120/7*w**2 = 0?
-144, -2, 2/7
Let q be 33/12*14/77 - 7/(-28)*10. Factor -2/13*g**4 - 4/13*g - 8/13*g**q - 10/13*g**2 + 0.
-2*g*(g + 1)**2*(g + 2)/13
Let r = -25711 - -51435/2. Factor -2 + 7/4*f**2 - r*f.
(f - 4)*(7*f + 2)/4
Determine s, given that 0*s + 7/4*s**3 + 0 - 1/4*s**5 + 5/2*s**2 - s**4 = 0.
-5, -1, 0, 2
Let g(c) be the second derivative of -24 - 3*c + 6*c**2 - 22/3*c**3 + 10/3*c**4. Suppose g(x) = 0. Calculate x.
1/2, 3/5
Let z(v) be the third derivative of v**5/300 + 69*v**4/10 + 28566*v**3/5 + 649*v**2. Factor z(k).
(k + 414)**2/5
Factor 0*m - 68*m**3 - 45*m**2 + 0 - 3/4*m**4.
-m**2*(m + 90)*(3*m + 2)/4
Let a be (5 - 1) + 276/(-23). Let z be a/28 - (-402)/231. Factor 10/11*g**5 - z*g**4 + 4/11*g**2 + 2/11*g**3 + 0*g + 0.
2*g**2*(g - 1)**2*(5*g + 2)/11
Suppose -4*s - 5*s = -18. Suppose -s*v + 8 = -0*v - o, 9 = v + 2*o. Factor -z**3 - 27*z**5 + 4*z**3 - 3*z - 8*z**2 + 26*z**v + 2*z**4 + 7*z.
-z*(z - 2)*(z - 1)**2*(z + 2)
Suppose -17*x + 204 - 34 = 0. Suppose -2*l**3 + 5*l**2 - 5*l**3 + 25*l - 3*l**3 + 0*l**3 + x = 0. What is l?
-1, -1/2, 2
Let y = 26485/106004 - -4/26501. Factor 1 + 1/2*k**2 + 7/4*k - y*k**3.
-(k - 4)*(k + 1)**2/4
Let g be -1 - ((-6 - -11) + -6). Suppose 2*f - 59*u = -64*u + 15, g = -2*u + 6. Factor 0*s + f + 4/5*s**2 + 2/5*s**3.
2*s**2*(s + 2)/5
Suppose 1364 = -o + 5*k, -1308 - 2864 = 3*o + 5*k. Let b = o + 5537/4. Factor b*x**2 - 1/4*x**3 + 0 - 1/4*x**4 + 1/4*x.
-x*(x - 1)*(x + 1)**2/4
Let k = -332140 + 1660716/5. Factor -k + 10/3*p - 2/15*p**2.
-2*(p - 24)*(p - 1)/15
Let j(g) = -15*g**2 + 54*g - 5599. Let a(c) = -85*c**2 + 323*c - 33608. Let h(r) = -4*a(r) + 23*j(r). Suppose h(m) = 0. Calculate m.
-39, 29
Let h(v) be the second derivative of -v**5/35 + 16*v**4/21 + 494*v**3/21 - 1100*v**2/7 - 6420*v. Factor h(u).
-4*(u - 25)*(u - 2)*(u + 11)/7
Let y(d) be the first derivative of -19/8*d**4 - 1/12*d**6 + 4/5*d**5 + 2*d**3 - 6 + 0*d + 0*d**2. Suppose y(b) = 0. What is b?
0, 1, 3, 4
Let s(g) be the second derivative of -g**5/10 + 25*g**4/2 - 146*g**3/3 - 2800*g + 2. What is d in s(d) = 0?
0, 2, 73
Let f(k) be the second derivative of -2/7*k**3 + 0*k**2 - 6 + 1/28*k**4 - 3*k. Factor f(m).
3*m*(m - 4)/7
Let p(n) be the second derivative of 0*n**2 - 3/50*n**5 - 1/150*n**6 + 0*n**3 - 3/20*n**4 + 0 - 61*n. Suppose p(g) = 0. Calculate g.
-3, 0
Let p = -5 - -17. Let v = -5 + p. What is y in -10*y**2 + 5*y - 3*y**3 + 7*y + v*y**2 + 12 = 0?
-2, -1, 2
Let g = 3024813/424 - 10805/53. Let l = g + -6920. Factor 135/4*o**2 + 3/8*o**5 + 69/4*o**3 + 243/8*o + l + 33/8*o**4.
3*(o + 1)**2*(o + 3)**3/8
Let j(v) be the third derivative of 0*v**3 - 1/72*v**4 - 1/360*v**6 + 0 + 0*v - 77*v**2 + 1/90*v**5. What is s in j(s) = 0?
0, 1
Let h(p) be the second derivative of p**5/50 + 13*p**4/30 + 4*p**3/5 + 142*p - 6. Factor h(r).
2*r*(r + 1)*(r + 12)/5
Let y be (-9)/(-18)*-36 - 1824/(-95). Factor -2/5*i**2 - 4/5*i + y.
-2*(i - 1)*(i + 3)/5
Let d be (-5)/(-1) - (1 + (-1 - 3)). Factor -d*b**2 - 44*b - 22 - 5 + 5*b**2 - 1.
-(b + 14)*(3*b + 2)
Find z, given that 2/19*z**2 + 26/19*z - 96/19 = 0.
-16, 3
Let a(l) = -l + 20. Let y be a(-5). Suppose -i - 2*t = -10, -25*i + 30*i + y = 5*t. Find h such that 2/11*h**2 + 0 + i*h = 0.
0
Let c(x) be the first derivative of x**5 + 75*x**4/2 + 380*x**3 + 925*x**2 + 855*x + 1489. Factor c(o).
5*(o + 1)**2*(o + 9)*(o + 19)
Let y be (3/30)/(64/2720) + (-16)/2 + 4. Factor 13/4*u + y*u**2 + 3.
(u + 1)*(u + 12)/4
Let u(d) = 8*d**4 - d**3 - 24*d**4 - 1 + 17*d**4. Let p(v) = 21*v**5 + 36*v**4 - 66*v**3 - 123*v**2 - 72*v - 21. Let l(w) = p(w) - 9*u(w). Factor l(i).
3*(i - 2)*(i + 1)**3*(7*i + 2)
Let x(v) = v**3 + 30*v**2 - 66*v - 61. Let p be x(-32). Factor 8*n**p - 6*n - 6*n**3 + 0*n**3 - 4*n - 8*n - 4*n**2 + 36.
2*(n - 3)*(n - 2)*(n + 3)
Let a be 140/(-14 + 4) - -14. Let q(t) be the third derivative of 1/80*t**5 + 13*t**2 + a + 0*t + 9/2*t**3 + 3/8*t**4. Factor q(o).
3*(o + 6)**2/4
Let w = -2414/1101 + 41120/7707. Factor w*p**2 - 4/7*p**3 + 2*p - 12/7.
-2*(p - 6)*(p + 1)*(2*p - 1)/7
Let j(w) be the second derivative of -62/9*w**3 + 961/3*w**2 - 5 + 1/18*w**4 - 7*w. What is q in j(q) = 0?
31
Let d(m) be the second derivative of -m**4/20 - 251*m**3/5 - 1503*m**2/10 - 7889*m. Factor d(k).
-3*(k + 1)*(k + 501)/5
Let y(m) be the third derivative of 35/3*m**3 + 1/12*m**5 + 0*m + 0 - 108*m**2 + 15/8*m**4. Factor y(h).
5*(h + 2)*(h + 7)
Let w be (3/9)/((-5)/(-75)). Suppose x + w*a = -5, 2*x + 0*a = 5*a + 50. Factor 8*b**4 - 32*b**4 + x*b**2 - 31*b**2 + 44*b**3 - 4*b.
-4*b*(b - 1)**2*(6*b + 1)
Let b = -129 + 167. Suppose b*l - 50 = 13*l. Solve -1/5*g + 2/5*g**l - 1/5 = 0.
-1/2, 1
Let g(k) be the third derivative of k**6/600 + 19*k**5/100 + 361*k**4/40 + 10*k**3 - 60*k**2. Let b(x) be the first derivativ