7*o - 141. Let j(v) = 2*v**3 - 16*v**2 - 115*v + 281. Let q(b) = -3*j(b) - 7*t(b). Suppose q(u) = 0. Calculate u.
-8, 3, 6
Let t(p) be the second derivative of 9*p**5/20 + 73*p**4 - 493*p**3/2 + 297*p**2 - 11*p - 2. Solve t(b) = 0 for b.
-99, 2/3, 1
Let q(u) be the second derivative of 3/5*u**3 - 1 + 2*u**2 - 1/30*u**4 - 82*u. Factor q(g).
-2*(g - 10)*(g + 1)/5
Let y(r) be the second derivative of -2*r**6/15 - 14*r**5/5 - 53*r**4/3 - 80*r**3/3 - 4638*r. Factor y(f).
-4*f*(f + 1)*(f + 5)*(f + 8)
Let m = -81 - -96. Let g be (-3 + 55/m)*9/2. Suppose -3*z**3 + 20*z**5 + 27*z**5 - 3*z**4 - 44*z**5 + g*z**2 = 0. Calculate z.
-1, 0, 1
Find m such that 1166*m - 687*m**2 + 40*m**4 + 42*m**3 - 409*m**2 + 155*m**3 - 400 - 2*m**5 + 81*m**3 + 14*m**3 = 0.
-8, 1, 25
Factor 57*d**4 - 372*d**3 - 321977*d**2 - 192*d - 717 - 819 + 322889*d**2 - 3*d**5.
-3*(d - 8)*(d - 4)**3*(d + 1)
Let a = -319 - -323. Let v be (0/7)/(-6)*(-2)/a. Determine h so that -8*h**4 - 18/13*h**5 + v + 32/13*h - 96/13*h**2 - 192/13*h**3 = 0.
-2, 0, 2/9
Suppose -3*p = 2*t + 85 - 25, -p = -4*t + 6. Let n = -13 - p. Factor 8*m**2 - 9 - 16 - 4*m + 25 + 4*m**n - 8*m**4.
4*m*(m - 1)**3*(m + 1)
Let 60*v**4 + 395536*v**3 + 378 + 32*v**2 + 1041*v + 3*v**5 + 970*v**2 - 395140*v**3 = 0. Calculate v.
-9, -7, -2, -1
Let w(p) be the second derivative of -89*p + 0 + 1/16*p**5 + 15/4*p**2 - 5/8*p**4 - 5/24*p**3. Factor w(y).
5*(y - 6)*(y - 1)*(y + 1)/4
Let c be (-4)/(-16)*2*(-155)/(-310). Let -3/2*q - c*q**4 + 0 + 1/4*q**2 - 1/4*q**5 + 7/4*q**3 = 0. What is q?
-3, -1, 0, 1, 2
Find r, given that 42/5*r + 86/15 + 8/3*r**2 = 0.
-43/20, -1
Solve -62*w**3 + 152*w**2 - 128*w - 36*w**3 + 372*w**2 - 108*w**2 + 6*w**4 = 0 for w.
0, 1/3, 8
Let v(q) be the third derivative of 7/32*q**4 - 48*q**2 + 0*q - 147/16*q**3 + 0 - 1/480*q**5. Determine n, given that v(n) = 0.
21
Let o = 3038 - 27334/9. Let q(z) be the first derivative of -6*z**2 + o*z**3 + 3*z**4 + 18 - 8/3*z. Factor q(g).
4*(g - 1)*(g + 1)*(9*g + 2)/3
Factor -42*n - 164 + 448*n - n**2 - 1368 - 19*n.
-(n - 383)*(n - 4)
Determine u, given that -22/7*u**2 + 0 + 2/7*u**3 - 24/7*u = 0.
-1, 0, 12
Suppose -9*w + 527 - 356 = 0. Let u = 13 - 7. Factor -u + w - 13 - 5*d**3 + 5*d**2.
-5*d**2*(d - 1)
Determine a so that 24 + a + 18*a**2 + 8*a - a - 20*a**2 = 0.
-2, 6
Factor 416/11*v**2 + 48/11*v**3 + 2/11*v**4 + 1536/11*v + 2048/11.
2*(v + 4)**2*(v + 8)**2/11
Let i(h) be the second derivative of h**6/150 - h**5/20 - 7*h**4/10 - 38*h**3/15 - 4*h**2 - 5190*h. Let i(g) = 0. Calculate g.
-2, -1, 10
Let l(r) = -r - 1. Let v(g) = -4*g**2 - 10 + 9 + g**3 - 7*g + 2*g**3 - g**3. Let d(m) = l(m) - v(m). Factor d(a).
-2*a*(a - 3)*(a + 1)
Let c(d) be the first derivative of -10 + 16*d + 3*d**3 - 1/4*d**4 - 15/2*d**2. Let m(v) be the first derivative of c(v). Solve m(h) = 0 for h.
1, 5
Let g(d) be the second derivative of 2*d**6/45 + 19*d**5/15 + 35*d**4/3 + 314*d**3/9 + 140*d**2/3 - 66*d + 4. Solve g(w) = 0 for w.
-10, -7, -1
Determine k, given that -448*k + 1243*k**3 - 323*k**4 + 108*k - 180 + 92*k - 387*k - 397*k - 1025*k**2 + 21*k**5 = 0.
-1/3, -2/7, 3, 10
Factor 272*p - 1344 - 317*p**2 + 142*p + 322*p + 597*p**2 - 2*p**3 - 308*p**2.
-2*(p - 12)*(p - 2)*(p + 28)
Let u(x) be the second derivative of -1/15*x**4 + 0 - 13/150*x**6 + 0*x**2 - 4/25*x**5 - 1/70*x**7 - 21*x + 0*x**3. Suppose u(q) = 0. What is q?
-2, -1/3, 0
Let k(s) be the second derivative of -s**7/13860 - s**6/3960 + s**5/330 + s**4/12 - 4*s**3 - 2*s. Let t(g) be the third derivative of k(g). Factor t(z).
-2*(z - 1)*(z + 2)/11
Let j = -72 + 74. What is z in -6*z**4 - z**5 - j + 6*z**2 + 2 - 8*z**3 + 809*z - 800*z = 0?
-3, -1, 0, 1
Suppose -5*l = 5*o + 465, 34*o + l + 187 = 32*o. Let i = -654/7 - o. Find z such that -4/7 - i*z + 4/7*z**3 + 4/7*z**2 = 0.
-1, 1
Let t be -7 + 992 + (1 - -3). Let d = t - 986. Factor -9/10*i + 1/10*i**d + 3/10*i**2 + 1/2.
(i - 1)**2*(i + 5)/10
Suppose -12*k + 17*k = 15. Let h be 1/k*(-45)/(-10). Let -3/4*c**3 + 0 + 0*c - h*c**2 = 0. Calculate c.
-2, 0
Let k(f) be the second derivative of 5*f**4/12 - 145*f**3 + 865*f**2/2 - 954*f. Factor k(x).
5*(x - 173)*(x - 1)
Let z(m) be the first derivative of 0*m - 3/5*m**2 - 50 + 0*m**5 - 3/5*m**4 + 1/15*m**6 + 16/15*m**3. Factor z(k).
2*k*(k - 1)**3*(k + 3)/5
Factor -4541161/2 - 2131*a - 1/2*a**2.
-(a + 2131)**2/2
Suppose 11 = g + 9. Factor -134*y - 4*y**g + 174*y - 58 + 154.
-4*(y - 12)*(y + 2)
Factor 108*a + 23*a**4 + 111*a**2 + 93*a**3 + 23*a**5 + 24*a**5 + 126*a**2 + 58*a**3 - 46*a**5.
a*(a + 1)**2*(a + 9)*(a + 12)
Let h(q) be the third derivative of -q**5/12 + 85*q**4/3 - 225*q**3/2 + 1171*q**2. Factor h(m).
-5*(m - 135)*(m - 1)
Let l(u) be the third derivative of -u**8/280 + u**7/25 + 7*u**6/100 - 43*u**5/50 - 21*u**4/10 + 3703*u**2 - u. Let l(a) = 0. Calculate a.
-2, -1, 0, 3, 7
Let z be (-4)/(-10)*(-15)/(-6)*5. Solve t + 8*t**2 + 5*t + z*t**3 + 6*t**3 + 9*t**2 + 2*t**4 = 0.
-3, -2, -1/2, 0
Let z(l) be the first derivative of l**4/9 - 52*l**3/27 + 64*l**2/9 - 80*l/9 - 4270. Factor z(f).
4*(f - 10)*(f - 2)*(f - 1)/9
Let d = 396 + -372. Factor -162*x + 34*x**3 + d*x**3 - 107*x**3 - 72 + 2*x**4 - 106*x**2 + 35*x**3.
2*(x - 12)*(x + 1)**2*(x + 3)
Factor 3/2*a**4 + 54*a**3 - 3/2*a**2 - 54*a + 0.
3*a*(a - 1)*(a + 1)*(a + 36)/2
Let f = -3188 - -3188. Let v(b) be the second derivative of -34*b - 5/4*b**4 + 0*b**2 + 0 + f*b**3 + 1/4*b**5. Factor v(d).
5*d**2*(d - 3)
Let z = 842/1443 + 40/481. Let -2/3*s + 4/3*s**3 + 4/3 + 4/3*s**4 - z*s**5 - 8/3*s**2 = 0. Calculate s.
-1, 1, 2
Let z be 756/16 - (-2)/(-8). Suppose -39 + z = 4*n. Factor 19*s**4 - 6 + 2*s**3 - 6*s**2 - 10*s - 9*s**4 - 8*s**4 + n.
2*(s - 2)*(s + 1)**3
Let i(y) = 2*y**4 - 2*y**3 - y**2 + 2*y - 1. Let r(p) = -p**4 - 1294*p**3 - 88207*p**2 - 644996*p - 1250002. Let l(q) = 2*i(q) - r(q). Factor l(u).
5*(u + 4)**2*(u + 125)**2
Let u(d) = -5*d**2 + 3286*d + 2712607. Let k(v) = 8*v**2 - 3282*v - 2712606. Let t(b) = -2*k(b) - 3*u(b). Factor t(z).
-(z + 1647)**2
Suppose -2*j - v = 6 + 2, 2*j - 3*v = 8. Let r = j - -6. What is p in -2*p + 0*p**2 + 2*p**3 - 4 + 8*p**2 + r*p**3 = 0?
-1, 2/3
Let t = 11024 - 11022. Let z(v) be the first derivative of -3/4*v - 2 - 1/12*v**3 - 1/2*v**t. Factor z(n).
-(n + 1)*(n + 3)/4
Let k be 30/2100*6/12. Let l(h) be the third derivative of 0 + 0*h + 0*h**3 - 7/120*h**6 + 5/24*h**4 - k*h**7 + 7/120*h**5 - 30*h**2. Solve l(d) = 0.
-5, -2/3, 0, 1
Suppose 5*j - 5*d = 60, d = 5*j - 76 + 12. Suppose 13*b - 2*f - j = 12*b, 0 = f + 5. Determine n, given that 0 - 1/4*n**2 - 1/4*n**b + 1/2*n = 0.
-2, 0, 1
Solve -485*d + 9*d**3 + 18*d**3 + 55*d**2 + 425 - 22*d**3 = 0 for d.
-17, 1, 5
Let j be 4/(-6) + 29/3 + -8. Let p(g) = -29645*g**2 + 1542*g - 26. Let h(q) = q - 3. Let d(r) = j*p(r) - 2*h(r). Suppose d(x) = 0. What is x?
2/77
Suppose 0 = 5*c - 2*m + 10, -2*c + 5*m - 4 = 9*m. Let l(q) = -6*q + q**2 + 4*q - 2*q**2. Let s(h) = -h. Let d(v) = c*s(v) + l(v). Let d(o) = 0. What is o?
0
Let u be (0 + (9 - -1))*(-14)/(-35). Factor 10 - 21*t**2 + 45*t**3 - 8 + 7*t**u - 46*t**3 - 11*t.
(t - 2)*(t + 1)**2*(7*t - 1)
Let c be (-3 + 5)/((-91)/26) - 36/(-14). Let n(x) be the first derivative of 2*x - 21 - 1/6*x**4 + 5/3*x**c + 2/9*x**3. Factor n(a).
-2*(a - 3)*(a + 1)**2/3
Let c(k) be the third derivative of 25*k**8/588 + 68*k**7/147 + 62*k**6/105 + 8*k**5/35 + 2954*k**2. What is t in c(t) = 0?
-6, -2/5, 0
Let z be ((-136206)/(-230))/47 + (7 + -2)/(-9 - -8). Find x, given that -8 + 2/5*x**2 + z*x = 0.
-20, 1
Let x(f) be the first derivative of -3*f**5/20 + 525*f**4/8 - 7568*f**3 - 23232*f**2 + 14262. Factor x(w).
-3*w*(w - 176)**2*(w + 2)/4
Let q = -64 - -199. Suppose -q = 9*d - 162. Determine p, given that -6/7*p**2 + 6/7 - 2/7*p + 2/7*p**d = 0.
-1, 1, 3
Let o(b) be the third derivative of -b**8/168 + 6*b**7/175 + 29*b**6/150 - 4*b**5/5 + 19*b**4/60 + 2*b**3 - 2*b**2 - 408. Find j, given that o(j) = 0.
-3, -2/5, 1, 5
Let i(s) be the first derivative of s**3/6 + 671*s**2/2 + 450241*s/2 + 657. Factor i(t).
(t + 671)**2/2
Let s = -104 - -118. Determine p so that 28*p - s*p - 6*p - 8*p**3 - 20*p**2 - 20*p**3 = 0.
-1, 0, 2/7
Let b(f) be the third derivative of -f**8/1848 - 31*f**7/1155 - 251*f**6/660 - 101*f**5/330 + 85*f**4/11 + 300*f**3/11 - f**2 + 396*f. Solve b(i) = 0.
-15, -2, -1, 2
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