ppose 8*l = 5*l. Find v such that 0 + l*v**2 - 2*v**3 + 2/3*v**4 + g*v = 0.
-1, 0, 2
Let f be (-41 - -16 - -16)/(-3). Find g such that -3*g**5 - 41/4*g**4 - g**2 + g + 0 - 37/4*g**f = 0.
-2, -1, -2/3, 0, 1/4
Let h(z) be the second derivative of -z**8/2240 - z**7/420 - z**6/240 + z**4/2 + 6*z. Let k(r) be the third derivative of h(r). Find a, given that k(a) = 0.
-1, 0
Let r(u) be the first derivative of u**3/21 - 2*u**2/7 + 3*u/7 - 275. Factor r(f).
(f - 3)*(f - 1)/7
Let m be -2 - -2 - ((-10)/(-4) - (-88)/(-33)). Solve 0*g - m*g**4 + 1/6*g**5 + 0*g**2 + 0*g**3 + 0 = 0.
0, 1
Let a be -1 + 6004/(-28) - 3. Let w = 219 + a. Suppose -w*c**3 + 0*c + 0*c**2 + 0 - 10/7*c**5 - 2*c**4 = 0. What is c?
-1, -2/5, 0
Let k(t) be the first derivative of -1/6*t**6 + 3/4*t**4 + 1/3*t**3 - 25 - t**2 + 0*t - 1/5*t**5. Factor k(w).
-w*(w - 1)**2*(w + 1)*(w + 2)
Let q(i) be the third derivative of -1/840*i**8 + 1/100*i**6 + 0*i - 3/25*i**5 + 40*i**2 + 0*i**4 + 0 + 0*i**3 + 4/525*i**7. What is f in q(f) = 0?
-2, 0, 3
Factor -1/3*d**3 + 64/3 - 16*d - 5*d**2.
-(d - 1)*(d + 8)**2/3
Let v(n) = n**3 - 6*n**2 - 5*n + 15. Let i be v(5). Let o be (-10)/25 + (-19)/i. Suppose -1/7*h**2 + 0 - o*h = 0. Calculate h.
-1, 0
Let j = 489 - 486. Let y(k) be the first derivative of -2/15*k**j - 1 - 8/5*k + k**2. Factor y(d).
-2*(d - 4)*(d - 1)/5
Suppose -5*r + 30 = 14*z - 8*z, 2*r - 5*z = -25. Find c, given that -1/5*c**5 + 0*c**4 - 1/5*c + r*c**2 + 2/5*c**3 + 0 = 0.
-1, 0, 1
Let y(r) be the second derivative of r**7/210 + r**6/50 - r**5/25 + 30*r. Factor y(q).
q**3*(q - 1)*(q + 4)/5
Let k(b) = -19*b**2 - 15*b + 6. Let g(p) = 77*p**2 + 60*p - 26. Let a(z) = 4*g(z) + 18*k(z). Find m such that a(m) = 0.
-1, 2/17
Let d = 176 + -186. Let s be (-4)/d + 32/320. Factor -i**2 + 1 + 1/2*i**3 - s*i.
(i - 2)*(i - 1)*(i + 1)/2
Let j = -126 - -129. Let c(y) be the second derivative of 3/10*y**5 + j*y + 0*y**2 + 0 + 1/4*y**4 + 0*y**3 + 1/10*y**6. Factor c(n).
3*n**2*(n + 1)**2
Suppose -4*v = 4*i - 16, i = -2*i - 5*v + 16. Suppose -7*k + 26 + i = 0. Let -3*p**5 - 4*p**4 + 2*p - p**5 + 0*p**4 + 2*p**5 + k*p**2 = 0. Calculate p.
-1, 0, 1
Let l = 17074 + -153664/9. Factor 4/9*b**2 + 2/9 - 4/9*b**3 - 2/3*b**4 - l*b**5 + 2/3*b.
-2*(b - 1)*(b + 1)**4/9
Suppose 3*i + 44 = v + 57, -3*v + 4*i = 14. Determine g so that 392/3 + 2/3*g**v - 56/3*g = 0.
14
Let c be ((-3)/(-4))/(12/8). Let o(p) = -27*p + 245. Let f be o(9). Determine x so that -1/4*x - 1/4*x**f + c = 0.
-2, 1
Let r = -42 + 45. Solve -2*b**3 + b**r - 3*b**3 - 9*b**4 + 10*b**3 = 0.
0, 2/3
Let t(a) = 7*a - 1. Let o be t(1). Let u be (-8)/o*(1 - 4). Factor 3*r - r + r**u - 3*r + r**3 - r**2.
r*(r - 1)*(r + 1)**2
Let o be -17*8*-2*(-3)/(-12). Let r be o/(-16) + 4 + (-39)/(-60). Find y, given that -2/5*y + 4/5 - r*y**2 = 0.
-2, 1
Let w = -1930468/15 - -128872. Let o = w - 174. Factor o + 2/15*g**2 + 4/15*g.
2*(g + 1)**2/15
Let b(t) be the first derivative of -2*t**5/95 - t**4/19 + 2*t**2/19 + 2*t/19 + 71. Factor b(i).
-2*(i - 1)*(i + 1)**3/19
Let n(d) be the first derivative of 4*d**6/3 + 2*d**5 + d**4/2 - 178. Factor n(m).
2*m**3*(m + 1)*(4*m + 1)
Suppose 3*x - 2*x = 3. What is j in 9*j**3 + x*j**2 + 47 + 9*j**4 + 3*j**5 - 47 = 0?
-1, 0
Let c = -845 - -850. Let v(k) be the second derivative of 2/105*k**6 + 4/21*k**3 + 0*k**c + 0*k**2 + 0 - 1/7*k**4 + 10*k. Factor v(x).
4*x*(x - 1)**2*(x + 2)/7
Solve -24/7*i + 0 + 3*i**4 - 3/7*i**5 - 3*i**2 + 27/7*i**3 = 0.
-1, 0, 1, 8
Let a(p) be the first derivative of -p**6/3 + 2*p**5/5 + p**4 - 4*p**3/3 - p**2 + 2*p - 26. Factor a(o).
-2*(o - 1)**3*(o + 1)**2
Let w(o) be the second derivative of -o**4/4 + 23*o**3 + 73*o + 2. Suppose w(t) = 0. Calculate t.
0, 46
Suppose 0 - 49/2*x**2 + 13/2*x**3 - 8*x + 49/2*x**4 + 3/2*x**5 = 0. What is x?
-16, -1, -1/3, 0, 1
Factor 76*a**2 + 162*a**2 - 18 + 129*a - 37*a**2 + 81*a**3 + 24*a**2 + 63*a**2.
3*(a + 3)*(3*a + 2)*(9*a - 1)
Suppose 0 = c - 5*y + 9, 4*c = c - 3*y + 9. Let i be (c + -2)*(4 - 4). Factor -4/3*w**2 + 2/3*w**4 + i*w**3 + 0*w + 2/3.
2*(w - 1)**2*(w + 1)**2/3
Let q(x) be the first derivative of -3*x**5/10 + x**4 + 2*x**3/3 - 4*x**2 - 11. Factor q(z).
-z*(z - 2)**2*(3*z + 4)/2
Let z(i) be the first derivative of 2*i**3/3 - 50*i**2 + 1250*i - 106. Find k such that z(k) = 0.
25
Let h = 3/24401 + 146391/122005. Determine v, given that 1/5*v**2 + h + v = 0.
-3, -2
Determine d, given that -7914 - 420*d + 17*d**2 + 2233 - 20*d**2 - 1198 - 7821 = 0.
-70
Let t(v) be the third derivative of -v**8/2856 + v**7/595 + v**6/204 - 9*v**5/170 + 8*v**4/51 - 4*v**3/17 - 9*v**2 + 17. Find a, given that t(a) = 0.
-3, 1, 2
Let t be 7 + 5358/(-66) - (-4)/22. Let b be (t/(-185))/((-6)/(-20)). Find p, given that 2*p**4 - 2/3 + 8/3*p**3 - b*p**2 - 8/3*p = 0.
-1, -1/3, 1
Let g(w) = -5*w**2 - 488*w + 199. Let t be g(-98). Factor 1/2*a**3 + 2*a**2 - t + 1/2*a.
(a - 1)*(a + 2)*(a + 3)/2
Let l(x) be the second derivative of -5*x - 3/8*x**4 - x**3 + 5/2*x**2 + 1/40*x**6 + 0 + 0*x**5. Let u(r) be the first derivative of l(r). Factor u(s).
3*(s - 2)*(s + 1)**2
Suppose 19*t - 6 = 16*t. Let q = 132 + -132. Let 0*y - 4/3*y**4 + q*y**t + 2/3*y**3 + 2/3*y**5 + 0 = 0. Calculate y.
0, 1
Let s be 1*(9/1 + -4). Suppose -s*p + 13 = -2. Find c such that -3/4*c**2 - p + 3*c = 0.
2
Factor -120*c**2 - c**4 + 46 + 22*c**3 - 22*c - 31 + 106.
-(c - 11)**2*(c - 1)*(c + 1)
Let r(d) be the second derivative of -3*d**5/20 + 65*d**4/28 + 68*d**3/7 - 66*d**2/7 + 99*d. Determine u so that r(u) = 0.
-2, 2/7, 11
Let t(f) be the third derivative of f**6/240 + f**5/15 - f**4/48 - 2*f**3/3 - 36*f**2 + 5*f. Find q, given that t(q) = 0.
-8, -1, 1
Find v such that -137*v**2 - 35*v + 10*v - 29*v - 120 + 140*v**2 = 0.
-2, 20
Let g = 873 + -1745/2. Factor 0*h + g*h**3 + 0*h**2 + 1/2*h**4 + 0.
h**3*(h + 1)/2
Let m(j) = 13*j**3 - 11*j**2 - 3*j + 11. Let z(s) = 5*s - 24 - s + 8 + 16*s**2 - 20*s**3. Let q(x) = 8*m(x) + 5*z(x). Factor q(b).
4*(b - 2)*(b - 1)*(b + 1)
Suppose 1 + 2 = t, 9 = -2*z + 5*t. What is l in 5*l + 5 + 7*l**z + 5*l - 5*l**4 - 17*l**3 = 0?
-1, 1
Let k(u) = -518*u + 5185. Let h be k(10). Let 0*p**4 + 4/7*p**3 + 0*p**2 + 0 - 4/7*p**h + 0*p = 0. What is p?
-1, 0, 1
Let q be -2 + (-28)/(-13) + 38354/5889. Let q*r - 4/3 + 16/3*r**3 - 32/3*r**2 = 0. Calculate r.
1/2, 1
Let c be (7/14)/(1/(-10)). Let l be 3/5 + (-3)/c. Find o such that 4/5*o**2 + l*o + 2/5 = 0.
-1, -1/2
Let p(r) = -r**3 + 7*r**2 - 8*r + 10. Let m be p(5). Let t be (-2)/(-5) + 22/m + -1. Factor 0*n + t*n**4 + 1/2 + 0*n**3 - n**2.
(n - 1)**2*(n + 1)**2/2
Let 2/7*k**2 + 32/7*k - 34/7 = 0. What is k?
-17, 1
Let g be (-9 - -14) + 4/(-4)*3. Let d = 6 - g. Factor 0 - 4/5*c**2 + 4/5*c**d - 2/5*c + 0*c**3 + 2/5*c**5.
2*c*(c - 1)*(c + 1)**3/5
What is u in 921*u**2 - 140 - 1776*u**2 - 1280*u + 75*u**3 - 480*u**3 - 2160*u**2 = 0?
-7, -2/9
Let x be (3 + -20 + -1 + 2)*(-4)/56. Let 12/7*b + 18/7*b**2 + x*b**3 + 2/7 = 0. What is b?
-1, -1/4
Let o(a) be the first derivative of -5*a**4/4 - 20*a**3 - 105*a**2/2 + 490*a + 142. Factor o(b).
-5*(b - 2)*(b + 7)**2
Let f be -8 - (7 - 988/65). Factor -1/10*n**2 + f - 1/10*n.
-(n - 1)*(n + 2)/10
Find c, given that 0 - 3/2*c**2 + 345/2*c = 0.
0, 115
Let y(i) be the third derivative of 1/420*i**6 + 5/84*i**4 + 3*i**2 + 0 + 0*i + 2/21*i**3 + 2/105*i**5. Determine n, given that y(n) = 0.
-2, -1
Solve 0 + 0*m**3 + 0*m + 0*m**2 + 2/3*m**4 - 2/3*m**5 = 0.
0, 1
Let o(n) be the third derivative of -n**8/11760 - n**7/4410 + n**6/1260 + n**5/210 - n**4/8 + 11*n**2. Let k(p) be the second derivative of o(p). Factor k(h).
-4*(h - 1)*(h + 1)**2/7
Let f be (-8 + 10)*(0 + 1). Factor 12*k**4 + 0*k**2 - 2*k**5 + 2*k - 4*k**4 - 4*k**f - 4*k**4.
-2*k*(k - 1)**3*(k + 1)
Let i be (-1)/(-2*1/666). Let j = -989/3 + i. Find f, given that j*f**2 - 14/3*f + 4/3 = 0.
2/5, 1
Let f(j) = -j + 5. Let b be f(5). Let o = -5 + 7. What is w in -4*w + b*w + 0*w - o*w**2 + 2*w = 0?
-1, 0
Let s(t) be the third derivative of t**6/40 + 71*t**5/20 + 153*t**4 - 648*t**3 - 48*t**2. Determine u, given that s(u) = 0.
-36, 1
Let n(b) be the second derivative of -b**7/210 - b**6/96 - b**5/240 + 2*b**2 + 5*b. Let j(u) be the first derivative of n(u). Find i such that j(i) = 0.
-1, -1/4, 0
Let u(y) be the second derivative of y**5/80 + 7*y**4/48 + 5*y**3/12 - 25*y + 4. Solve u(