 -22986/35. Factor -3/7*v**2 + p*v + 18/7.
-3*(v - 3)*(v + 2)/7
Let g = -2325609/5 + 465123. Determine s, given that -g*s**3 + 6/5*s + 2*s**2 - 8/5 - 2/5*s**4 = 0.
-4, -1, 1
Let f(z) be the first derivative of -15/2*z**2 - 55/12*z**4 - 25/3*z**3 - 10/3*z - 61 - z**5. Find m such that f(m) = 0.
-1, -2/3
Let h(w) be the third derivative of 109503*w**8/112 - 318987*w**7/70 - 2829*w**6/4 - 619*w**5/15 - w**4 - 1338*w**2 - w. Factor h(l).
l*(l - 3)*(69*l + 2)**3
Let j be (((-275)/570)/(-11))/(8/(-82824)). Let w = j - -909/2. Suppose 12/19*v**2 - w*v**3 + 2/19*v**4 - 8/19*v + 2/19 = 0. Calculate v.
1
Suppose 40*s - 408 = -62*s. Let o(w) be the second derivative of 0*w**3 - w**5 - 5/12*w**7 + 0 - 19/12*w**6 - 7*w + 5/6*w**s + 0*w**2. Solve o(z) = 0 for z.
-2, -1, 0, 2/7
Let l(k) be the third derivative of -1/105*k**5 + 0 - 4/7*k**3 + 0*k + 5/42*k**4 + 85*k**2. Factor l(r).
-4*(r - 3)*(r - 2)/7
Determine o so that -3/2*o**3 - 40836*o + 993/2*o**2 - 41334 = 0.
-1, 166
Let s(t) be the first derivative of -t**6/39 + 28*t**5/13 - 1017*t**4/26 + 216*t**3 + 2462. What is c in s(c) = 0?
0, 9, 52
Let o = -6 + 8. Suppose -58*m = -153*m. Suppose 2/7*s**o - 2/7 + m*s = 0. Calculate s.
-1, 1
Suppose -3*l - 87*t = -90*t + 9, -l - 5*t + 39 = 0. Factor 6/11*c**3 + 0*c + 0 + 2/11*c**5 - 6/11*c**l - 2/11*c**2.
2*c**2*(c - 1)**3/11
Find h such that 0 - 2/13*h**3 + 636/13*h - 634/13*h**2 = 0.
-318, 0, 1
Let f(q) = -q - 2. Let l be f(-2). Let u be (22032/1134)/((-12)/(-21)) + -31. Factor 0 + 2/3*t**2 + 1/3*t**4 + l*t - t**u.
t**2*(t - 2)*(t - 1)/3
Let t(j) = -168*j - 469. Let u(h) = 21251*h + 59329. Let l(r) = -632*t(r) - 5*u(r). Let q be l(-3). Solve q - 2/3*g**3 + 2/3*g**2 + 0*g = 0.
0, 1
Let u(g) be the second derivative of g**7/11340 - g**6/1620 + g**5/540 - 71*g**4/12 + 68*g. Let t(w) be the third derivative of u(w). Factor t(k).
2*(k - 1)**2/9
Let n(f) be the third derivative of -f**7/42 - 11*f**6/24 - 31*f**5/12 - 35*f**4/8 + 3*f**2 - 27*f. Factor n(i).
-5*i*(i + 1)*(i + 3)*(i + 7)
Let z(w) be the first derivative of 61 + 3*w**2 + 2*w + 3/2*w**3. Factor z(p).
(3*p + 2)**2/2
Let n be (-5)/(15/(-3) + -2). Let x be (2/(-8)*-2)/(840/240). Suppose n*c**3 - 4/7*c - 8/7 + 6/7*c**2 + x*c**4 = 0. What is c?
-2, 1
Suppose -19 = -4*a - 3. Let h be 1191/21 + 0 + (-4)/(-14). Solve -h*j**2 - 3*j**5 + 57*j**2 - 3*j**a = 0 for j.
-1, 0
Determine y so that 5/2*y**4 + 610*y - 420 - 285*y**2 + 75/2*y**3 = 0.
-21, 2
Let p(t) be the second derivative of -t**7/27720 + 13*t**6/3960 + 7*t**5/165 + 103*t**4/12 - 29*t - 3. Let d(r) be the third derivative of p(r). Factor d(b).
-(b - 28)*(b + 2)/11
Suppose 1958*m = 1939*m + 57. Let v(y) be the first derivative of 0*y**2 - 1/15*y**5 + 11/36*y**4 + 0*y - 2/9*y**m - 28. Factor v(u).
-u**2*(u - 3)*(3*u - 2)/9
Let r be -1 + (-9 - -10) + 14 - (-2178)/(-176). Factor -r - 1/8*f**2 - 7/4*f.
-(f + 1)*(f + 13)/8
Suppose -b + 17 = 0, 1515*o + 3*b = 1510*o + 66. Determine h, given that -1728/5 + 7*h**o + 396/5*h**2 + 1296/5*h + 1/5*h**4 = 0.
-12, 1
Suppose -2*k + 27 = a + 38, 0 = -a - 5*k - 17. Let c be 2/(-10)*12*a/14. Solve 2/5*t**3 - 2/5*t - 6/5 + c*t**2 = 0 for t.
-3, -1, 1
Let n = -34 - -50. Suppose -18*w + 1230 = -n*w. Factor -47*z - 84*z + 5*z**2 - 10 + w + 21*z.
5*(z - 11)**2
Factor -2/9*n**4 + 0 + 28/9*n**2 + 14/9*n**3 - 80/3*n.
-2*n*(n - 6)*(n - 5)*(n + 4)/9
Suppose -5*i**3 + 1285*i + 241/3*i**2 - 1/3*i**4 + 1200 = 0. What is i?
-15, -1, 16
Suppose 8*d - 7 = 36*d - 63. Let w(t) be the third derivative of 0 + 1/10*t**4 + 2/5*t**3 + 1/100*t**5 + 2*t**d + 0*t. Suppose w(r) = 0. What is r?
-2
Let n(p) be the second derivative of -p**8/1344 + 4*p**7/63 - 16*p**6/9 + 9*p**4 + 67*p + 1. Let y(q) be the third derivative of n(q). What is a in y(a) = 0?
0, 16
Let y(p) be the second derivative of 0 + 5/24*p**4 + 1/8*p**6 + 0*p**3 + 1/3*p**5 - 7/2*p**2 + 7*p. Let s(i) be the first derivative of y(i). Factor s(q).
5*q*(q + 1)*(3*q + 1)
Let p = 14160539/558969 + 3/186323. What is v in -4*v + p*v**2 + 0 = 0?
0, 3/19
Let f(s) be the third derivative of -s**8/252 - 8*s**7/45 - 26*s**6/45 - 1316*s**2. Factor f(r).
-4*r**3*(r + 2)*(r + 26)/3
Let n = -119279/35230 - -3/2710. Let v = 212/91 - n. Suppose -16/7 - 2*f**3 - 36/7*f**2 - v*f - 2/7*f**4 = 0. Calculate f.
-2, -1
Let q be (-8)/12*(-42)/4. Let -27*l**4 + 245*l - 165*l - 8*l**4 - 120*l**3 + q*l**5 + 8*l**5 + 60*l**2 = 0. Calculate l.
-2, -2/3, 0, 1, 4
Let b(p) = -2*p**2 + 6*p + 10. Let n be b(4). Suppose -8*u - 67 - u + u**n + 81 = 0. Calculate u.
2, 7
Suppose 85*b - 117 = 53. Let o(w) be the third derivative of -6*w**b + 0 + 1/360*w**6 - 1/18*w**5 + 25/72*w**4 + 0*w**3 + 0*w. Factor o(d).
d*(d - 5)**2/3
Solve 2/5*t**3 + 11466/5 + 1974/5*t + 22*t**2 = 0 for t.
-21, -13
Let o be 0*(7/2 - 4). Let z = 448758/7 + -64108. Factor z*j - 3/7*j**2 + 1/7*j**3 + o.
j*(j - 2)*(j - 1)/7
Let b(v) be the first derivative of -v**4/12 - 41*v**3 - 15129*v**2/2 - 620289*v + 4276. Factor b(y).
-(y + 123)**3/3
Let g = 114 + -112. Let v(m) = m. Let u be v(10). Let 3*t**2 + 15 - 9 + 6 - g*t - u*t = 0. What is t?
2
Let c be 185*(-5)/200*-8. Let v(b) = -2*b + 77. Let g be v(c). Factor 27/5*f**2 - 3*f**g + 3/5*f**4 - 21/5*f + 6/5.
3*(f - 2)*(f - 1)**3/5
Factor -3*a - 16*a**2 + 18*a**2 + 321888*a**3 - 197*a - 321892*a**3 + 224 + 50*a**2.
-4*(a - 7)*(a - 4)*(a - 2)
Suppose 3*j = -4*k + 924, 4*j + 0 + 16 = 0. Factor -2*i - k*i**2 + 232*i**2 - 2*i + 6 + 10.
-2*(i - 2)*(i + 4)
Let x(d) = 9*d - 50. Let l be x(6). Let 8*m - 5*m + 2*m**2 + 9*m + l*m = 0. Calculate m.
-8, 0
Factor x**3 + 0*x**3 - 120 - 12*x**3 - 9*x**3 - 8*x**3 + 64*x**2 + 404*x.
-4*(x - 5)*(x + 3)*(7*x - 2)
Let h be (40/(-42)*(-105)/30)/(25/18). Suppose h*y**3 + 0 - 3/5*y**5 + 0*y**2 + 0*y + 9/5*y**4 = 0. What is y?
-1, 0, 4
Let y(g) = -g**3 + 14*g**2 + 67*g - 37. Let x be y(17). Suppose x*o - 69 = 212*o. Find t such that 4/7 + 10/7*t**o + 24/7*t**2 + 18/7*t = 0.
-1, -2/5
Let w(m) be the first derivative of -m**5/5 + 8*m**3 + 32*m**2 + 48*m + 1345. Solve w(a) = 0.
-2, 6
Suppose 60 + 426*o**2 + 5*o**3 - 161*o**2 + 224*o + 4*o**3 - 8*o - 154*o**2 = 0. What is o?
-10, -2, -1/3
Let u = 455 + -474. Let x be (u + 80)*(-2)/(-10) - 5. Factor -x*t + 108/5 + 3/5*t**2.
3*(t - 6)**2/5
Let c(f) be the first derivative of f**3/12 - 29*f**2 + 687*f/4 - 918. Factor c(i).
(i - 229)*(i - 3)/4
Let g(z) = 9*z**2 - 306*z + 8427. Let c(y) = 4*y**2 + 308*y - 6*y**2 - y**2 - 2 - 8425 - 5*y**2. Let u(b) = 6*c(b) + 5*g(b). Factor u(s).
-3*(s - 53)**2
Let q(s) = 17*s - 240. Let j be q(-38). Let r = j + 886. Determine h so that -1/5*h**3 + 0*h + h**2 + r = 0.
0, 5
Let b be (23 + -41 - (-2 - 9)) + (-1661)/(-209). Let m = 1/575 - -9181/10925. Suppose -b*d**4 + 6/19*d**3 - 8/19*d + m*d**2 + 0 = 0. What is d?
-1, 0, 2/3
Let z be (38/(-24))/(1204/(-2752)). Determine k so that -2/21*k**2 + z*k - 722/21 = 0.
19
Let n(t) be the third derivative of -t**8/252 + t**7/9 - 11*t**6/180 - 109*t**5/90 + 121*t**4/36 - 34*t**3/9 - 1804*t**2. Suppose n(f) = 0. What is f?
-2, 1/2, 1, 17
Suppose -2*m + 4*j = 36, 5*j - 6*j - 79 = 5*m. Let c be (-1)/(-2 - 24/m). Factor 0*k**c - 6/7*k + 2/7*k**3 - 4/7.
2*(k - 2)*(k + 1)**2/7
Let z(j) be the third derivative of 61/60*j**5 + 899/24*j**4 + 0*j + 0 + 27*j**2 + 1/120*j**6 - 961/6*j**3. Suppose z(b) = 0. Calculate b.
-31, 1
Let x(u) = -5*u - 6. Let w be x(5). Let m = w - -34. Factor 4*y**m + 5*y**2 - 8*y**2 - 13*y**2 + 12*y.
4*y*(y - 3)*(y - 1)
Suppose -185 = -8*u - 14*u - 15*u. Let w(z) be the first derivative of -15 + 0*z**3 - 1/3*z**4 - 2/3*z + 2/3*z**2 + 2/15*z**u. Suppose w(r) = 0. Calculate r.
-1, 1
Let a(z) be the third derivative of -1/2*z**3 + 29*z**2 + 0*z + 1/16*z**4 + 1/20*z**5 - 3 - 1/80*z**6. Determine m, given that a(m) = 0.
-1, 1, 2
Let p be (1/2 - 27/30)*2683/(-5366). Factor p*t**5 + 0 + 21/5*t**3 - 9/5*t**4 - 19/5*t**2 + 6/5*t.
t*(t - 6)*(t - 1)**3/5
Let a(q) = 2*q**2 - 16*q - 15. Let l be a(9). Solve 2*n**5 + 60*n - 7*n**5 + 30*n**4 - 20*n**2 + 1191*n**l - 1236*n**3 = 0.
-1, 0, 2, 3
Factor d**2 + 9*d**2 - 1956*d + 4*d**2 + 6*d**2 - 16*d**2.
4*d*(d - 489)
Suppose 3*o + 2*o - 8 = -2*l, 4*o - 5*l = 13. Let i be (-20)/(-35)*(-14)/(-4). Factor -62*q**2 - 10*q + 33*q**o + 24*q**i.
-5*q*(q + 2)
Factor 696*a**2 + 6272 + 2/7*a**4 - 170/7*a**3 - 6944*a.
2*(a - 28)**3*