*j**2. Let k(a) = 0. Calculate a.
1, 90
Suppose 6 = 3*c - 2*m, -66*m + 67*m = -4*c + 8. Suppose -2/9*y**c + 10/9*y**4 + 0*y + 0 + 2/9*y**3 + 2/3*y**5 = 0. What is y?
-1, 0, 1/3
Let m be (7 + -7)*3/18*3. Suppose 0*u - 25 = -u + v, -2*u + 4*v + 46 = m. Determine b, given that b**2 - u + 27 + 2*b - b**4 - 2*b**3 = 0.
-2, -1, 0, 1
Let l(p) be the third derivative of p**6/24 + p**5/6 + p**4/24 + p**3/3 + 2*p**2 - 27. Let d be l(-2). Factor d*a + 0 - 2/5*a**2.
-2*a**2/5
Let q = 41085 - 41083. Factor 6/5 - 3/5*v**q + 3/5*v.
-3*(v - 2)*(v + 1)/5
Let j(d) be the first derivative of d**7/4200 + d**6/75 + 6*d**5/25 + 9*d**3 + 16. Let w(q) be the third derivative of j(q). Factor w(f).
f*(f + 12)**2/5
Determine x, given that -85900/9*x**3 + 145442/9*x + 39848/3*x**2 - 1444/9*x**4 - 2/3*x**5 - 58564/9 = 0.
-121, -1, 1/3, 2
Let n be (66/4 + -21)/((-3)/4). Let g(d) be the third derivative of -1/30*d**n - d**2 + 0 + 1/3*d**4 - 1/15*d**5 + 0*d + 0*d**3. Factor g(w).
-4*w*(w - 1)*(w + 2)
Let p(h) be the second derivative of 23*h - 1/150*h**6 - 1/5*h**5 + 343/10*h**2 - 21/10*h**4 + 2 - 98/15*h**3. Find r such that p(r) = 0.
-7, 1
Let m = -235 - -400. Let y = 165 - m. Factor -1/4*g - 1/2*g**4 + 1/4*g**5 + 0 + 1/2*g**2 + y*g**3.
g*(g - 1)**3*(g + 1)/4
Let f(i) be the first derivative of i**7/840 + i**6/480 - i**5/24 + i**4/12 + 9*i**2 + 109. Let c(n) be the second derivative of f(n). Factor c(y).
y*(y - 2)*(y - 1)*(y + 4)/4
Let k(g) be the first derivative of -3*g**4/28 - 45*g**3 - 72981*g**2/14 + 227529*g/7 - 10221. Factor k(q).
-3*(q - 3)*(q + 159)**2/7
Let n = 560617 - 7288019/13. Solve 0*r + 2/13*r**3 + n*r**2 + 0 = 0.
-1, 0
Let g = -31 + 30. Let b(o) = 2*o**3 + o + 2. Let c be b(g). Let i(v) = 1. Let m(y) = 5*y**2 - 5*y - 15. Let t(q) = c*m(q) - 15*i(q). Factor t(a).
-5*a*(a - 1)
Let l(f) be the first derivative of 5*f**4/4 - 3425*f**3/3 + 294120*f**2 - 584820*f + 3090. Find q, given that l(q) = 0.
1, 342
Let u(x) be the second derivative of x**6/120 + x**5/40 - x**4/16 - x**3/3 - x**2/2 + 627*x - 2. Factor u(t).
(t - 2)*(t + 1)**2*(t + 2)/4
Let p(m) be the third derivative of -m**8/840 + m**7/420 + m**6/180 - m**5/60 - 7*m**3 - 6*m**2 + 1. Let y(f) be the first derivative of p(f). Factor y(j).
-2*j*(j - 1)**2*(j + 1)
Let v(x) be the second derivative of 16/11*x**3 + 1/66*x**4 - 6*x - 49/11*x**2 - 2. Factor v(y).
2*(y - 1)*(y + 49)/11
Let d = -321 + 329. Suppose -9*a = -5*a - d. Factor 0 - 1/6*q**a - 1/6*q.
-q*(q + 1)/6
Suppose -3*j - 27 = -13*k + 8*k, -36 = -4*k + 4*j. Let -12/7*l - 3/7*l**5 - 9/7*l**4 + k + 15/7*l**3 + 9/7*l**2 = 0. Calculate l.
-4, -1, 0, 1
What is v in 0 - 2/13*v**4 + 82/13*v**2 + 80/13*v**3 + 0*v = 0?
-1, 0, 41
Let i(c) = -25*c**3 + 367*c**2 - 86*c - 4. Let r(s) = -s**3 + s**2 + 4*s - 1. Let k(x) = -i(x) + 4*r(x). Solve k(q) = 0.
0, 2/7, 17
Factor -117/2 - 1/4*l**2 - 45/4*l.
-(l + 6)*(l + 39)/4
Let v be 4368/2112 + (-2)/8. Let s = -15168 - -15174. Determine j so that -18/11 + 60/11*j**3 - v*j**2 - s*j + 38/11*j**4 + 6/11*j**5 = 0.
-3, -1, -1/3, 1
Suppose -55*t - 38 + 28*t - 39*t**2 - 72*t - 22 = 0. What is t?
-20/13, -1
Let a(p) be the first derivative of p**4/10 - 8*p**3/3 - 41*p**2/5 + 168*p + 2858. Factor a(s).
2*(s - 21)*(s - 4)*(s + 5)/5
Determine u, given that 0 + 25/2*u - 41/4*u**2 - 9/4*u**3 = 0.
-50/9, 0, 1
Let k(u) be the second derivative of -64*u + 0*u**2 + 0*u**3 + 1/40*u**5 + 1/12*u**4 - 1/60*u**6 + 0. Factor k(r).
-r**2*(r - 2)*(r + 1)/2
Let k = -194 - -225. Determine x so that 12*x - k*x**4 - 7*x**4 - 6*x**3 - 6*x**5 - 20*x**2 + 58*x**2 = 0.
-6, -1, -1/3, 0, 1
Let i(r) be the first derivative of -r**5/12 + 15*r**4/4 - 135*r**3/2 + 27*r**2/2 - 4. Let n(k) be the second derivative of i(k). Factor n(u).
-5*(u - 9)**2
Let w(s) be the first derivative of 5/4*s**3 + 9/8*s - 3/8*s**4 - 7/4*s**2 + 119 + 1/40*s**5. Let w(l) = 0. What is l?
1, 9
Let f(s) be the third derivative of -s**6/900 - 107*s**5/450 - 583*s**4/36 - 2809*s**3/45 + 5030*s**2. Factor f(j).
-2*(j + 1)*(j + 53)**2/15
Let y(t) be the third derivative of -t**7/560 - t**6/48 + 20*t**3 - 128*t**2. Let q(p) be the first derivative of y(p). Let q(v) = 0. What is v?
-5, 0
Let l = -216 + 248. Suppose -61*m + 33*m = -l*m. Suppose 4/13*g**2 - 2/13*g + m - 2/13*g**3 = 0. Calculate g.
0, 1
Let m(u) = -17*u**2 + 28554*u - 40783482. Let b(d) = -19*d**2 + 28553*d - 40783449. Let s(l) = -6*b(l) + 7*m(l). Factor s(i).
-5*(i - 2856)**2
Let m be (-449)/(-5) - 3/(-15). Let r be (m/24)/(-15)*24/(-2). Suppose 315*a + 75*a**2 + 19*a**3 + 14*a**3 + 245 - 28*a**r = 0. What is a?
-7, -1
Let b(v) = 16*v - 79. Let l be b(5). Factor 35*r**4 + 2*r + 26*r**4 - 54*r**4 + 2*r**2 - 4*r**5 - 8*r**3 + 2*r**5 - l.
-(r - 1)**4*(2*r + 1)
Let i = 78 - 76. Suppose -17 = -4*z - 1. Factor -30 + 104*v - 324*v + 27*v**z - 162*v**4 - 405*v**3 - 10 - 450*v**i.
-5*(v + 1)*(3*v + 2)**3
Suppose 17*p = 299 - 248. Let -30*l - 132*l**4 - 20*l**3 + 72*l**5 + 21*l**2 + 28*l - 14*l**p = 0. Calculate l.
-1/2, 0, 1/6, 2
Let v be 4/(-18) + 130164/108. Let n = -7219/6 + v. What is o in 1/3*o**3 - 2/3 + 8/3*o - n*o**4 + 11/2*o**2 = 0?
-1, 2/11, 2
Let y(t) be the second derivative of -t**5/40 - 497*t**4/8 - 247009*t**3/4 - 122763473*t**2/4 - 215*t. Solve y(h) = 0.
-497
Let u(a) be the second derivative of -a**6/24 - 433*a**5/16 - 4315*a**4/48 - 2155*a**3/24 + 2848*a. Let u(c) = 0. Calculate c.
-431, -1, 0
Let j be (-3024)/(-81)*18/(-8). Let y be (-10)/(-14)*j/(-210). Find t such that -8/7*t + 4/7*t**2 + y*t**3 - 16/7 = 0.
-2, 2
Let j(y) be the first derivative of -1/40*y**6 + 0*y**3 - 5*y**2 - 1/10*y**5 + 1 + 3/8*y**4 + 0*y. Let f(r) be the second derivative of j(r). Factor f(v).
-3*v*(v - 1)*(v + 3)
Suppose 2*u - 4 = 0, -4*u = 2*o - u - 10. Let m be (42/(-4) - -8)*-2. Suppose m*p + 3*p**o - 2*p - 3*p**4 - 2*p**3 - p**3 + 0*p = 0. What is p?
-1, 0, 1
Let f be (-1 + 8/5)/(4/20). Suppose 5*t - 1810 = -5*b, 2*b + 4*t - 726 = f*t. Factor -b*w**2 + 20*w**3 - w**4 - 80 - 5*w**5 - 14*w**4 + 444*w**2.
-5*(w - 2)*(w - 1)*(w + 2)**3
Let u(y) be the third derivative of -y**7/840 + 61*y**6/360 - 8*y**5 + 75*y**4/2 + 4*y**3 - 9*y**2 + 8. Let c(g) be the first derivative of u(g). Factor c(t).
-(t - 30)**2*(t - 1)
Let d(g) = -g**2 + 8*g - 15. Let c be d(6). Let a be 10 + -2 + 3 + c. Factor -4 + 12*t**2 - a*t**2 + 8*t - 8*t**2.
-4*(t - 1)**2
Let y(t) be the first derivative of -5*t**4/12 + 5*t**3/2 - 110*t - 81. Let h(u) be the first derivative of y(u). Factor h(s).
-5*s*(s - 3)
Let p(r) be the first derivative of 2*r**5/75 + 3*r**4/10 - 64*r**3/15 + 244*r**2/15 - 128*r/5 - 1164. Find n, given that p(n) = 0.
-16, 2, 3
Let u(p) be the second derivative of 1849*p**4/20 + 258*p**3/5 + 54*p**2/5 - 28*p. Factor u(o).
3*(43*o + 6)**2/5
Let c(n) = -99*n**3 + 48*n**3 + n + 48*n**3. Let j be c(-1). Determine p so that -3*p - 11*p**2 - 15*p**2 + 29*p**j = 0.
0, 1
Let l = -18889 - -18893. Let 5*r - 95/4*r**3 - 15*r**2 + 0 + 15*r**l = 0. Calculate r.
-2/3, 0, 1/4, 2
Let a be (-11 - 6/(-1)) + 13. Let c(d) be the first derivative of -a*d + 1/2*d**4 - 7*d**2 - 4/3*d**3 - 21. Factor c(s).
2*(s - 4)*(s + 1)**2
Let a(w) be the third derivative of w**8/1176 - 67*w**7/735 + 577*w**6/210 - 73*w**5/15 - 55*w**4/4 + 363*w**3/7 + 4*w**2 - 31. Find f such that a(f) = 0.
-1, 1, 33
Factor 1386/5*s + 160083/5 + 3/5*s**2.
3*(s + 231)**2/5
Let f = -144 - -147. Let -4*s**f + 2*s**3 + 6 - 8*s - 6*s**2 - 40*s + 50*s = 0. What is s?
-3, -1, 1
Let v be (-3)/(-24) + (-868)/(-1120)*5. Factor 14/15*w**3 + 12/5*w**2 + 2/15*w**v + 8/3*w + 16/15.
2*(w + 1)*(w + 2)**3/15
Let d(h) be the first derivative of -h**6/3 - 36*h**5/5 + 131*h**4/2 - 200*h**3 + 284*h**2 - 192*h + 5337. Solve d(m) = 0.
-24, 1, 2
Let f(i) be the third derivative of -i**5/30 + 16*i**4/3 - 80*i**3 + 1651*i**2 + 4. Suppose f(n) = 0. What is n?
4, 60
Let z(q) be the first derivative of -q**3/3 + 4*q**2 + 3. Let f(v) = -2*v. Let r(l) = 10*f(l) + 2*z(l). Factor r(n).
-2*n*(n + 2)
Suppose -4 - 10*n**2 - 2*n**3 + 2/3*n**4 - 34/3*n = 0. Calculate n.
-1, 6
Let v(d) = -15*d**2 + 4*d**2 - 34*d + 10*d - 12 - 22. Let k(x) = 23*x**2 + 47*x + 67. Let w(y) = 6*k(y) + 13*v(y). Determine r, given that w(r) = 0.
-4, -2
Let f = -366/373 + 3343/746. Factor f*q + 1/2*q**2 + 6.
(q + 3)*(q + 4)/2
Let o(x) be the third derivative o