 0 - 13/2*o**3 + 6*o**2 + u*o**4 - 2*o - 1/2*o**5 = 0. What is o?
0, 1, 2
Let x(a) be the first derivative of 2*a**5/15 - 187*a**4/12 + 651*a**3 - 62465*a**2/6 + 29791*a/3 + 79. Factor x(m).
(m - 31)**3*(2*m - 1)/3
Let q(a) be the second derivative of a**8/7560 - a**7/3780 - a**6/810 - 7*a**3/3 - 10*a. Let b(u) be the second derivative of q(u). Find l, given that b(l) = 0.
-1, 0, 2
Factor -5*j**2 - 21/2*j + 3*j**3 + 3/2*j**4 - 1/2*j**5 - 9/2.
-(j - 3)**2*(j + 1)**3/2
Let f(a) be the first derivative of -a**8/1120 - a**7/280 + a**6/240 + a**5/40 + 6*a**3 - 8. Let l(y) be the third derivative of f(y). Factor l(t).
-3*t*(t - 1)*(t + 1)*(t + 2)/2
Let d(n) be the first derivative of n + 8 + 0*n**2 + 1/60*n**5 + 0*n**3 - 1/36*n**4. Let f(l) be the first derivative of d(l). Find c such that f(c) = 0.
0, 1
Factor -205*p**3 - 158*p**3 - 36*p + 71*p**4 + 4*p**4 + 192*p**2 + 78*p**3.
3*p*(p - 3)*(5*p - 2)**2
Let 2/5*a**3 - 1936/5 + 84/5*a**2 + 792/5*a = 0. Calculate a.
-22, 2
Let l = 12 - 8. Find t such that -6*t**4 + 3*t**l + t**3 - 9*t**2 - 3*t + 0*t**2 - 10*t**3 = 0.
-1, 0
Solve 40/3*d**3 + 4/3*d**5 + 24*d**2 - 36*d - 28/3*d**4 - 36 = 0 for d.
-1, 3
Let c(x) be the second derivative of 15*x + 0*x**3 + 0*x**2 + 1/210*x**5 + 0 + 1/126*x**4. Factor c(p).
2*p**2*(p + 1)/21
Let d(h) be the first derivative of -h**5/5 + 5*h**4/4 + 8*h**3/3 - 24*h**2 + 286. Factor d(a).
-a*(a - 4)**2*(a + 3)
Let n be ((-3066)/730)/(24/(-10)). Factor 5/4*a**2 + 0 - 1/2*a + n*a**3.
a*(a + 1)*(7*a - 2)/4
Let z(u) be the second derivative of -u**6/105 - u**5/70 + 4*u**4/21 + 4*u**3/7 - 7*u + 9. Factor z(v).
-2*v*(v - 3)*(v + 2)**2/7
Let g(w) be the second derivative of 10*w - 2/13*w**2 - 1/13*w**3 + 5/78*w**4 + 0. Let g(c) = 0. What is c?
-2/5, 1
Let v(s) be the first derivative of 2*s**6/35 + s**5/35 + 2*s - 34. Let b(k) be the first derivative of v(k). What is t in b(t) = 0?
-1/3, 0
Let w(m) be the first derivative of m**4/4 - m**3 - m**2/2 + 3*m + 16. Determine v, given that w(v) = 0.
-1, 1, 3
Let t = -6041/5 - -1209. Let s(h) be the second derivative of 0 + t*h**5 - 4*h**2 + 5/3*h**4 - 14/3*h**3 + 9*h. Find p such that s(p) = 0.
-2, -1/4, 1
Let w(m) be the second derivative of -1/2*m**2 + 0*m**3 + 1/40*m**6 + 0*m**5 + 0 - 2*m - 1/2*m**4. Let q(b) be the first derivative of w(b). Factor q(h).
3*h*(h - 2)*(h + 2)
Let f(q) be the first derivative of 49 - q**3 - 3/4*q**2 - 3/8*q**4 + 0*q. Factor f(v).
-3*v*(v + 1)**2/2
Let z(w) be the first derivative of 3/11*w**2 + 35 - 3/22*w**4 - 4/11*w + 8/33*w**3 - 4/55*w**5. Suppose z(q) = 0. What is q?
-2, -1, 1/2, 1
Let f(i) be the second derivative of 0 + 1/50*i**6 - 18/25*i**5 + 54/5*i**4 + 1944/5*i**2 + 23*i - 432/5*i**3. Determine j so that f(j) = 0.
6
Let m be (14/(-896))/(28/16 + -3). Let q(s) be the third derivative of 0 + 1/20*s**5 + 0*s**3 + 6*s**2 + m*s**6 + 0*s + 1/16*s**4. Determine w so that q(w) = 0.
-1, 0
Let j(b) be the third derivative of -2*b**7/105 + b**6/30 + 8*b**5/15 - 2*b**4 - 19*b**2. Determine l, given that j(l) = 0.
-3, 0, 2
Factor 1022 + 195*f - 13*f + 20*f**2 + 53*f - 1082.
5*(f + 12)*(4*f - 1)
Let j(u) be the second derivative of -u**6/150 + u**5/4 - 47*u**4/20 + 93*u**3/10 - 81*u**2/5 - 559*u. Suppose j(p) = 0. Calculate p.
1, 3, 18
Let i(o) be the third derivative of -o**7/280 + o**6/40 - o**4/2 - o**3/2 + 14*o**2. Let w(a) be the first derivative of i(a). Factor w(v).
-3*(v - 2)**2*(v + 1)
Let j = -434 + 438. Suppose 15*g - 14*g = 0. Factor 1/7*y + g + 3/7*y**2 + 1/7*y**j + 3/7*y**3.
y*(y + 1)**3/7
Solve -6/5 - 24*t**2 + 52/5*t + 108/5*t**3 - 34/5*t**4 = 0 for t.
3/17, 1
Let f(p) be the first derivative of -18 + 9/2*p**2 - 9/4*p**4 - p**3 + 6/5*p**5 - 3*p. Factor f(u).
3*(u - 1)**2*(u + 1)*(2*u - 1)
Let z be (1/2)/((-7)/(-28)). Suppose 2 - 8*d**z - 48*d**3 - 2 + 44*d**3 = 0. Calculate d.
-2, 0
Let h(z) = 11*z**2 - z - 12. Let q(u) = -16*u**2 + 2*u + 18. Let g(d) = 7*h(d) + 5*q(d). Factor g(l).
-3*(l - 2)*(l + 1)
Let n = 157 + -152. Let s be (-10)/(-3)*6/n. Factor 0*x**2 - 4/5*x**5 + 0 + 0*x - x**s - 1/5*x**3.
-x**3*(x + 1)*(4*x + 1)/5
Let p(s) be the third derivative of s**9/6048 + s**8/840 + s**7/336 + s**6/360 - s**3/2 - 5*s**2. Let t(j) be the first derivative of p(j). Factor t(d).
d**2*(d + 1)**2*(d + 2)/2
Suppose -30*i - 69582 = -69642. Factor 0 + 0*f**3 + 0*f + 9/7*f**4 + 3/7*f**5 - 12/7*f**i.
3*f**2*(f - 1)*(f + 2)**2/7
Let g(d) = d**3 - d**2 - 2. Let q be g(0). Let i be (-5)/20*q*8/12. Factor -2/3*s + 0*s**2 - 1/3*s**4 + i + 2/3*s**3.
-(s - 1)**3*(s + 1)/3
Let v(r) = 8*r**4 - 24*r**3 + 60*r**2 - 36*r + 8. Let k(s) = s**4 + 3*s**2 + s - 1. Let f(w) = 4*k(w) - v(w). Factor f(p).
-4*(p - 3)*(p - 1)**3
Let o be 17 - (3 + 480/45). Factor o*p**2 - 1/3*p + 0 - 20*p**4 - 12*p**5 - 13/3*p**3.
-p*(p + 1)**2*(6*p - 1)**2/3
Suppose 21 + 3 = 6*o. Find j such that -12*j**3 + 2*j**2 + 0*j**o - j**4 + 8*j**3 - j**4 + 4*j = 0.
-2, -1, 0, 1
Let k be ((-14)/10)/7 + (-14)/(-42). Factor 2/15*o**2 - k*o + 0.
2*o*(o - 1)/15
Let c be 1/(-6) - 51337/(-78). Factor 4*q**3 + 7*q**2 + 2*q - 2*q**2 + 659*q**4 - c*q**4.
q*(q + 1)**2*(q + 2)
Let o be ((-2)/(-15))/((-133)/(-42))*750/300. Factor -o*y - 2/19*y**2 + 12/19.
-2*(y - 2)*(y + 3)/19
Let i(m) = -11*m**2 - 1 + 29*m**2 - 17*m**2. Let n(x) = 5*x**3 - 25*x**2 + 30. Let y(u) = 30*i(u) + n(u). Factor y(l).
5*l**2*(l + 1)
Let l(i) = -1. Let b(d) = -d**2 + 3. Let v(o) = -b(o) - 3*l(o). Let f(m) = -3*m**2 - 5*m - 4. Let g(s) = -f(s) - 2*v(s). Factor g(y).
(y + 1)*(y + 4)
Let z be ((-6)/((-12)/221))/((-2)/(-4)). Determine m so that 4*m**2 + 221 - z + 2*m**4 + 10*m**4 - 4*m**5 - 12*m**3 = 0.
0, 1
Let j(x) be the first derivative of x**4/16 + 5*x**3/2 + 75*x**2/2 - 31*x + 22. Let g(n) be the first derivative of j(n). Factor g(b).
3*(b + 10)**2/4
Let t(v) be the first derivative of -v**3/12 + 19*v**2/8 - 39*v/2 + 262. Determine m so that t(m) = 0.
6, 13
Let b(h) = 4*h**3 - 28*h**2 - 4*h + 14. Let o(v) = -3*v**3 + 19*v**2 + 2*v - 10. Let c(d) = -5*b(d) - 7*o(d). Factor c(k).
k*(k + 1)*(k + 6)
Suppose 2*o = -0*o - o. Let h + o - 9*h**3 - 2 - 6*h**3 + 2*h**2 + 14*h**3 = 0. What is h?
-1, 1, 2
Let n(y) be the first derivative of y**3/12 - 25*y**2/8 + 17. Factor n(k).
k*(k - 25)/4
Let z = -434 - -437. Let i(t) be the first derivative of -2 + 0*t**2 + 0*t - 1/5*t**5 + 0*t**z + 0*t**4. Suppose i(s) = 0. Calculate s.
0
Let v(a) be the second derivative of -1/12*a**6 + 0*a**2 - 5/16*a**5 + 12*a + 0 - 5/24*a**3 - 5/12*a**4. Factor v(l).
-5*l*(l + 1)**2*(2*l + 1)/4
Let k(z) = -12*z**3 - 5*z**2 - 7*z. Let o(g) = -2*g**3 + 0*g - 2*g**3 - 2*g**2 - 3*g + g. Let c(i) = -2*k(i) + 7*o(i). Factor c(y).
-4*y**2*(y + 1)
Suppose 292 + 38 = -6*w. Let c = w - -60. Let -12/7*g**c - 24/7*g**2 - 6/7*g**3 - 3/7 + 27/7*g**4 + 18/7*g = 0. Calculate g.
-1, 1/4, 1
Let p(s) be the third derivative of 0*s**4 + 0 + 0*s + 16*s**2 - 1/420*s**6 - 1/70*s**5 + 4/21*s**3. Factor p(a).
-2*(a - 1)*(a + 2)**2/7
Let j(a) = -4*a**3 - a - 1. Let z be j(-1). Suppose 3*c - 4 - 6 = -4*y, 2*c = z*y. Suppose q - 2*q**c - 2*q + 2*q**3 - 2*q**3 - q**3 = 0. What is q?
-1, 0
Suppose 24*h = 356 - 356. Let k(v) be the first derivative of 0*v**2 + 9 - 3/5*v**5 + h*v + 1/2*v**6 + v**3 - 3/4*v**4. Factor k(w).
3*w**2*(w - 1)**2*(w + 1)
Let u(t) be the first derivative of -175*t**6/6 + 10*t**5 + 203*t**4/4 - 58*t**3/3 - 14*t**2 + 8*t + 161. Suppose u(q) = 0. Calculate q.
-1, -2/5, 2/7, 2/5, 1
Let k be ((-64)/170)/(4 - 17/((-425)/(-105))). Suppose -2/17*x**3 + 24/17 + 14/17*x**2 - k*x = 0. Calculate x.
2, 3
Let y(a) = -3*a**4 - 7*a**3 + 18*a**2 - 8*a + 5. Let t(g) = 4*g**4 + 6*g**3 - 18*g**2 + 8*g - 6. Let z(l) = 5*t(l) + 6*y(l). Factor z(x).
2*x*(x - 4)*(x - 1)**2
Let z = -31/45 - -107/90. Factor -1/2*g**2 + g**3 + 0 - g + z*g**4.
g*(g - 1)*(g + 1)*(g + 2)/2
Let v = 83 - 81. Suppose -2*u - u = 0. Factor u + 196*s**v - 7*s + 4 + 63*s.
4*(7*s + 1)**2
Let r(c) be the third derivative of c**8/112 + 3*c**7/35 + 9*c**6/40 + c**5/5 + 166*c**2. Factor r(f).
3*f**2*(f + 1)**2*(f + 4)
Suppose 6*g = 3 + 15. Suppose -5*q + 3*f + 9 = 0, f = -3*q - q - g. What is l in 0*l - 2/7*l**2 + q = 0?
0
Let y(o) = -o**2 - 9*o - 12. Let n be y(-7). Factor -6*q**3 - 11*q**4 + 0*q + 6*q + 8*q**4 + 3*q**n.
-3*q*(q - 1)*(q + 1)*(q + 2)
Let s = -108 + 113. Let v(k) be th