*2)/(605304/(-216180)). Find t such that -4*t + 10/7*t**2 - x = 0.
-1/5, 3
Solve -460/7 + 312/7*s - 1/7*s**3 - 39/7*s**2 = 0 for s.
-46, 2, 5
Let z be 4 + (-8 - (-3)/1) + -11. Let l be (-4)/(-12)*0*4/z. Factor 18/13*o**5 - 42/13*o**4 + l - 6/13*o**2 + 0*o - 34/13*o**3.
2*o**2*(o - 3)*(3*o + 1)**2/13
Let q be ((-4)/(-14) - 33/(-7))*6. Let k = q - 27. Find p such that -k + 5*p**2 - 517*p**3 + 3 + 507*p**3 = 0.
0, 1/2
Let x(p) be the second derivative of p**5/10 - 21*p**4/2 - 88*p**3 - 268*p**2 - 1846*p. Determine c, given that x(c) = 0.
-2, 67
Let g(n) be the second derivative of n**4/20 + 833*n**3/10 + 1041*n. Factor g(m).
3*m*(m + 833)/5
Let f(a) be the second derivative of 0*a**2 + 1/36*a**4 - 1/30*a**5 + 2 + 1/90*a**6 + 0*a**3 - 11*a. Factor f(y).
y**2*(y - 1)**2/3
Let r(g) be the second derivative of g**4/36 - 13*g**3/2 + 115*g**2/3 + 257*g - 3. Factor r(q).
(q - 115)*(q - 2)/3
Let u(h) = 17*h**3 - 4*h**2 + 2*h. Let x(r) = 388*r**3 - 92*r**2 + 44*r. Let s(t) = 68*u(t) - 3*x(t). Find k such that s(k) = 0.
-1/2, 0, 1
Let l(z) be the third derivative of -19/120*z**6 + 1/8*z**4 + 104*z + 0 + 1/84*z**8 + 1/42*z**7 + 0*z**3 - 2*z**2 + 7/60*z**5. Factor l(b).
b*(b - 1)**2*(b + 3)*(4*b + 1)
Let c be ((-340)/51)/(2/(-3)). Factor c - 2*y + 12*y**2 + 23*y**3 - 26 - y**3 + 6*y**4 - 22*y.
2*(y - 1)*(y + 2)**2*(3*y + 2)
Let p(u) be the first derivative of -u**6/10 - 18*u**5/5 + 25*u**4/4 - 69*u - 37. Let w(i) be the first derivative of p(i). Find o, given that w(o) = 0.
-25, 0, 1
Let p(a) be the second derivative of -a**6/720 - 37*a**5/240 + 62*a**3/3 + 3*a - 18. Let b(v) be the second derivative of p(v). Find l such that b(l) = 0.
-37, 0
Suppose 62*c + 63*c = 250. Let u(w) be the first derivative of -1/7*w**3 + 6 - 48/7*w + 12/7*w**c. Find f such that u(f) = 0.
4
Let g(l) be the second derivative of -1/14*l**7 - l**4 - 121*l + 2/3*l**3 + 1/15*l**6 + 0 + 9/20*l**5 + 0*l**2. What is y in g(y) = 0?
-2, 0, 2/3, 1
Factor -2*a**3 + 50*a + 70*a - 1211*a**2 + 1233*a**2.
-2*a*(a - 15)*(a + 4)
Factor -10*l - 2/7*l**2 - 68/7.
-2*(l + 1)*(l + 34)/7
Let h(p) = 11*p**3 - 7*p**2 - 38*p - 20. Let z(l) = 12*l + 2*l + 13*l**2 + 40 - 24*l**3 + 39*l + 24*l. Let n(t) = -7*h(t) - 3*z(t). Find d, given that n(d) = 0.
-1, 4
Let h be (-10)/50 - (-552)/2835. Let j = 125/189 - h. Factor -j + 0*p + 2/3*p**2.
2*(p - 1)*(p + 1)/3
Let j(n) = -2*n**5 - 6*n**4 - 6*n**3 + 6*n**2 + 8. Let d(t) = 2*t**5 + 7*t**4 + 8*t**3 - 7*t**2 - 10. Let r(v) = 4*d(v) + 5*j(v). Find o such that r(o) = 0.
-1, 0, 1
Let r = 122 - 41. Let a = r + -78. Factor 12*o**3 - 5 + 5*o**4 - 11*o - 2*o**a + o.
5*(o - 1)*(o + 1)**3
Suppose 4*s = 229*f - 232*f - 35, 4*s = -4*f - 32. Factor 2 + 2/9*o**f + 2/3*o - 10/9*o**2.
2*(o - 3)**2*(o + 1)/9
Suppose 13*u - 41*u + 840 = 0. Let m be 4/u + 2/30. Suppose 1/5 + m*d**4 - 2/5*d - 2/5*d**5 - 2/5*d**2 + 4/5*d**3 = 0. Calculate d.
-1, 1/2, 1
Let y(a) = 3*a**3 + 41*a**2 - 155*a + 258. Let o be y(-17). Let -96*j + 0 - 2/3*j**o - 16*j**2 = 0. Calculate j.
-12, 0
Solve 1608*y**3 + 3162*y**3 + 375*y**5 + 27 + 106*y + 2298*y**2 + 2338*y**4 + 137*y**4 + 118*y + 199*y = 0.
-3, -1/5
Let l(m) = -146*m**2 - 2127*m + 25. Let x(o) = 291*o**2 + 4251*o - 54. Let t(q) = 9*l(q) + 5*x(q). Factor t(s).
3*(s + 15)*(47*s - 1)
Suppose -24 = -2*m + 4. Suppose -40*p + 39*p + m = 0. Factor -5*l + 14 - 7*l**5 + 2*l**5 - p + 10*l**3.
-5*l*(l - 1)**2*(l + 1)**2
Let l(p) be the first derivative of 84 - 165*p**2 + 100*p - 49/2*p**4 + 112*p**3. Factor l(z).
-2*(z - 2)*(7*z - 5)**2
Let j = -1200143/12 + 99935. Let y = j - -309/4. Let -y + 1/6*z**2 - 1/6*z = 0. What is z?
-1, 2
Suppose -5*r - o + 26 + 42 = 0, 3*o = -5*r + 64. Suppose r*a = 13 + 29. Factor 0 - 1/2*w**a + 1/4*w**4 - w - 7/4*w**2.
w*(w - 4)*(w + 1)**2/4
Let r = -5 - -22. Suppose r*s - 22*s = -10. Determine h so that 44*h - 44*h + 9*h**3 + 6*h**s - 3*h**5 = 0.
-1, 0, 2
Find p, given that -1114*p + 196*p**2 + 214*p**2 + 41*p**3 - 151*p + 451*p**3 - 570 - 467*p**3 = 0.
-19, -2/5, 3
Let l(n) = 326*n - 652. Let j be l(2). Determine d so that 0*d + 0 - 1/3*d**4 + 8/3*d**3 + j*d**2 = 0.
0, 8
Suppose g = 2*g. Let q(r) = 4*r**2 + 4*r - 4. Let o be q(1). Determine k, given that 21/4*k**3 - 3/4*k**o + g + 15/4*k - 33/4*k**2 = 0.
0, 1, 5
Let s(x) = 4*x**3 - 12*x**2 - 556*x + 572. Let v(w) = w. Let q(g) = s(g) - 8*v(g). Suppose q(t) = 0. What is t?
-11, 1, 13
Let u = -38 + 40. Let b(d) = 9 + 6*d**3 - 7 - 2*d**u - 3*d**3. Let y(w) = 35*w**3 - 25*w**2 + 25. Let p(m) = 25*b(m) - 2*y(m). Determine i so that p(i) = 0.
0
Factor -21*d**3 + 71*d**3 + d**2 + d**4 - 129*d + 88*d**3 - 9*d**3 - 2*d**4.
-d*(d - 129)*(d - 1)*(d + 1)
Let m be (0 + -35499)*(-56)/(-2520). Let o = -787 - m. Suppose o*u - 98/15 - 2/15*u**2 = 0. Calculate u.
7
Let d(n) = -13*n**3 - 13*n**2 - 9*n - 8. Let o be d(-8). Let 548405 + 2*y**4 + 60421*y + 184*y**3 + 36915*y + 11277 + o*y**2 + 460*y**2 = 0. What is y?
-23
Let z(c) be the second derivative of c**4/8 + 125*c**3/4 + 369*c**2/2 + 4477*c. Factor z(a).
3*(a + 2)*(a + 123)/2
Suppose -190 = -16*d + 199 - 357. Factor -392/17 + 20/17*f**d + 2/17*f**3 - 14/17*f.
2*(f - 4)*(f + 7)**2/17
Suppose -2*l = 5*k - 44, -503 = 2*l - 527. What is i in -2/23*i**5 - 50/23*i - 12/23*i**3 + 0 + 16/23*i**k - 80/23*i**2 = 0?
-1, 0, 5
Factor -1/4*b**4 - 8*b**3 - 26 - 165/4*b**2 - 119/2*b.
-(b + 1)**2*(b + 4)*(b + 26)/4
Let v(x) be the third derivative of -x**7/1260 + 53*x**6/48 + 199*x**5/90 - x**2 + 2580. Determine a so that v(a) = 0.
-1, 0, 796
Let m(a) be the third derivative of 87*a**2 + 0 + 1/18*a**4 + 0*a**3 - 2*a - 1/630*a**5. Determine p, given that m(p) = 0.
0, 14
Let g(c) be the first derivative of 58 + 2*c**3 + 0*c**4 - 2/5*c**5 + 0*c - 2*c**2. Let g(t) = 0. What is t?
-2, 0, 1
Factor 1275/4*b**2 - 630*b - 980 - 125/4*b**3.
-5*(b + 1)*(5*b - 28)**2/4
Let p = 2302 + -32227/14. Let b(i) be the first derivative of 0*i**3 + p*i**4 + 0*i**5 - 1/42*i**6 + 0*i - 1/14*i**2 - 2. Factor b(h).
-h*(h - 1)**2*(h + 1)**2/7
Let g(b) be the second derivative of b**7/70 + 17*b**6/50 + 63*b**5/20 + 55*b**4/4 + 25*b**3 + 5877*b. Find s, given that g(s) = 0.
-5, -2, 0
Let i(y) = 5*y + 89. Let l be i(0). Solve l*p**2 - 35 - 40*p + 22 - 25 - 91*p**2 = 0.
-19, -1
Determine b so that 1266*b**4 + 54*b**5 - 75398/3*b**2 + 16406/3*b**3 - 1352 - 35776/3*b = 0.
-13, -2/9, 3
Suppose -104/11*z - 1352/11 - 2/11*z**2 = 0. Calculate z.
-26
Let j(l) be the second derivative of 0 + 9/5*l**5 - 12*l**2 - 152*l - 53/4*l**4 + 7/10*l**6 + 21*l**3. Factor j(n).
3*(n - 1)**2*(n + 4)*(7*n - 2)
Let c be 6/40 + 1617/220. Let w(x) be the first derivative of 5/6*x**6 + 0*x**5 - 38 - 5*x**4 + c*x**2 - 10/3*x**3 + 10*x. Suppose w(q) = 0. What is q?
-1, 1, 2
Suppose -22 + 38 = 2*x. Factor x*i**4 + 5*i**2 - 7*i**4 - 15*i**2 + 4*i**3 + 14*i**2.
i**2*(i + 2)**2
Let b be 41/(-5043)*2/59*-1. Let y = b + 21757/50799. Factor -y*x**2 - 6/7*x - 3/7.
-3*(x + 1)**2/7
Let w(d) be the third derivative of -d**7/4200 - d**6/1800 + d**5/75 + d**4/10 - 13*d**3/2 - 12*d**2. Let u(n) be the first derivative of w(n). Factor u(b).
-(b - 3)*(b + 2)**2/5
Let p(q) = -591*q + 5322. Let l be p(9). Solve -a**l - 9/2*a**5 + 0 - 11/2*a**4 + 0*a**2 + 0*a = 0 for a.
-1, -2/9, 0
Let i(l) = -l**2 - 10*l - 3. Let v(h) = 28 - 2 - 10 - 15. Let j(d) = -i(d) - 3*v(d). Factor j(f).
f*(f + 10)
Factor 304/7*n - 300/7*n**2 + 2/7*n**4 + 96/7*n**3 - 102/7.
2*(n - 1)**3*(n + 51)/7
Let i(d) be the second derivative of -d**6/300 + 3*d**5/200 + 3*d**4/20 - 1228*d. Solve i(f) = 0.
-3, 0, 6
Let a(t) = -t**3 + 20*t**2 - 38*t - 19. Let v be a(16). Let h = 399 - v. Factor -9/4*u**4 + 9/4*u - 3/2*u**3 - 3/4*u**5 + 3/2*u**h + 3/4.
-3*(u - 1)*(u + 1)**4/4
Let j be 5 + -2 + (-228)/(-304)*16/(-18). Let -j*g**2 - 3 + 1/3*g**3 - 17/3*g = 0. What is g?
-1, 9
Let b(j) be the third derivative of j**6/180 + 7*j**5/45 - 35*j**4/36 - 16*j**3/3 + 1592*j**2. Factor b(x).
2*(x - 3)*(x + 1)*(x + 16)/3
Let o(b) be the second derivative of b**6/90 - 23*b**5/60 + 40*b**4/9 - 50*b**3/3 + 3067*b. Factor o(s).
s*(s - 10)**2*(s - 3)/3
Let i = -933732 + 933735. Solve 3/4*z**i + 0 - z**2 + 1/4*z**4 - 3*z = 0 for z.
-3, -2, 0, 2
Find x such that -34*x**2 - 25 + 4 - 3 + 1545*x - 1435*x = 0.
4/17, 3
Let j(r) be the third derivative of 7*r**5/180 + 151*r**4/144 - 11*r**3/12 + 187