be the first derivative of -x - 2*n**3 + 1/2*n**4 + 8*n + 0*n**2. Find s, given that i(s) = 0.
-1, 2
Let d = -72 - -41. Let j = d + 35. Let -4*a**5 + 10*a**3 - 8 + 8 + 4*a**2 - 6*a**5 - 4*a**j = 0. Calculate a.
-1, -2/5, 0, 1
Let s(r) be the first derivative of -8 - 8/3*r - 5/6*r**4 + 1/9*r**6 + 2/15*r**5 + 8/3*r**2 - 2/9*r**3. Factor s(w).
2*(w - 1)**3*(w + 2)**2/3
Let o(x) be the first derivative of 2*x**6/15 - 2*x**4/3 + 2*x**2 - 16*x + 9. Let m(w) be the first derivative of o(w). Solve m(l) = 0 for l.
-1, 1
Factor 1/11*f**2 - 17/11 - 16/11*f.
(f - 17)*(f + 1)/11
Let x(s) = 2*s**2 + 4*s + 12. Let l(a) = a**2 + 22*a + 41. Let n be l(-20). Let c(h) = -h + 2. Let w(b) = n*x(b) - 6*c(b). Factor w(i).
2*i*(i + 5)
Factor -435 + 315 + 60*n + 10*n**2 + 236*n.
2*(n + 30)*(5*n - 2)
Solve 4/5*f**2 + 16 - 84/5*f = 0 for f.
1, 20
Factor 3*x - 4*x**4 - 3 + 4*x**2 + 3 - 6*x + x + 2*x**5.
2*x*(x - 1)**3*(x + 1)
Let u be 14/7 - (2 + -2). Factor -4*k**u + 2*k**2 + 6*k + 4 - 4.
-2*k*(k - 3)
Let d(a) be the first derivative of 1922*a**3/3 - 248*a**2 + 32*a - 237. Factor d(u).
2*(31*u - 4)**2
Let t(w) be the third derivative of -w**8/20160 - w**7/1260 - 13*w**5/60 + 12*w**2. Let d(l) be the third derivative of t(l). Factor d(c).
-c*(c + 4)
Let j(a) be the first derivative of a**5/8 + 21*a**4/32 + a**3/6 + 282. Factor j(n).
n**2*(n + 4)*(5*n + 1)/8
Let h(f) be the third derivative of -f**5/270 + 4*f**4/27 - 64*f**3/27 - 77*f**2. Find n, given that h(n) = 0.
8
Suppose -4*l + 17 = -7. Suppose 3*a - l = -0*a. Factor -30*g**2 - 5*g - a*g**4 - 35*g**3 - 13*g**4 + 5*g**2.
-5*g*(g + 1)**2*(3*g + 1)
Let q be (-55)/(-2) + 2/4. Let f = q + 6. Factor 21*s**5 - 6 - 5*s**4 - 12*s**3 + f*s**2 - 9*s + 8*s**2 - 31*s**4.
3*(s - 1)**3*(s + 1)*(7*s + 2)
Suppose 0 = 5*m - 5*d + 10, -5*d = 31*m - 35*m - 14. Factor -2/9*p**2 + 0*p**3 + 1/9*p + 0 + 2/9*p**m - 1/9*p**5.
-p*(p - 1)**3*(p + 1)/9
Let b(x) be the third derivative of -x**5/150 - 7*x**4/30 - 13*x**3/15 + x**2 - 5. Factor b(d).
-2*(d + 1)*(d + 13)/5
Let s = 59 - 411/7. Let c = -86 - -604/7. What is p in 0*p**2 + s*p + 0 - c*p**3 = 0?
-1, 0, 1
Find h, given that -12*h**2 - 64 - 68 - 16*h**3 + 16*h + 130 + 14*h**4 = 0.
-1, 1/7, 1
Let w(y) be the second derivative of 5/3*y**4 + 0*y**2 + 16*y - 5/4*y**5 + 0*y**3 + 1/6*y**6 + 0. Factor w(z).
5*z**2*(z - 4)*(z - 1)
Let c(t) be the second derivative of -t**5/70 + 4*t**4/21 - t**3/3 + 4*t - 27. Factor c(l).
-2*l*(l - 7)*(l - 1)/7
Let m be 2*(2 - (-3 + 3)). Find a, given that -a + 0*a + 7*a + m*a - 2*a**2 - 8 = 0.
1, 4
Let k(g) be the first derivative of -2*g**5/115 - 5*g**4/46 - 8*g**3/69 - 221. Determine t, given that k(t) = 0.
-4, -1, 0
Let g = -371/26 + 205/13. What is y in 2*y**2 - 11/2*y - g = 0?
-1/4, 3
Let r = 19 - 49. Let l = r - -30. Factor 0*u + 0*u**2 - 3/5*u**5 - 3/5*u**4 + l*u**3 + 0.
-3*u**4*(u + 1)/5
Let y be -2 + (-63)/9 - (-952)/88. Determine j, given that y*j - 2/11*j**2 - 50/11 = 0.
5
Factor -3/2*v**2 - 21*v + 0.
-3*v*(v + 14)/2
Let l(r) = -11*r**2 - 13*r - 2. Suppose 0*k = k - 2. Let b(y) = 0*y - 1 - 6*y - 4*y**k - y**2. Let i(s) = -9*b(s) + 4*l(s). Suppose i(m) = 0. Calculate m.
-1
Let t be (1 - (1 - 0))/((-161)/7 + 24). Factor -3*g + t - 9/2*g**2 - 3/2*g**3.
-3*g*(g + 1)*(g + 2)/2
Let c(t) = -t**2 + 2*t - 5. Let q(j) = 1. Suppose -3*k - 6 = -g + 3, -2*g + 2 = -2*k. Let o(v) = k*q(v) - c(v). Find w, given that o(w) = 0.
1
Suppose -3/4 + 13/8*g**2 - 7/8*g**4 + 19/8*g - 19/8*g**3 = 0. What is g?
-3, -1, 2/7, 1
Let p(t) = -t**2 - 4*t + 1. Let x(o) = -13 + 7 + 7. Let i(c) = -2*p(c) + 10*x(c). Let i(m) = 0. Calculate m.
-2
Let c = -32 - -43. Let l = c + -8. Factor -l*h**3 - h**2 - 9*h**2 + 4*h**2.
-3*h**2*(h + 2)
Factor -4*z - 16/11 - 10/11*z**2.
-2*(z + 4)*(5*z + 2)/11
Let o(j) be the second derivative of -j**7/357 - j**6/51 + 12*j**5/85 - 2*j**4/51 - 32*j**3/51 - 3*j - 25. Suppose o(u) = 0. Calculate u.
-8, -1, 0, 2
Let j = 38 + 8. Let p be -4 + 1 + (-2)/(-20)*j. Suppose -2/5*d**2 - p + 8/5*d = 0. Calculate d.
2
Let f be (-435)/(-300) + (-25)/20. Let 0 - x**2 - f*x**4 + 4/5*x**3 + 2/5*x = 0. What is x?
0, 1, 2
Let u(t) be the second derivative of -t**5/5 - 14*t**4/3 - 128*t**3/3 - 192*t**2 + 14*t - 3. Factor u(r).
-4*(r + 4)**2*(r + 6)
Let k be (36/42)/(6/56). Let u be (-1*2/k)/(180/(-288)). Suppose 0 - 2/5*o + u*o**2 = 0. What is o?
0, 1
Suppose 7*p - 3*p = 132. Let y be 2*p/(-12)*-2. Suppose -9*g**4 - g**3 - 8*g**5 + y*g**4 + g**3 = 0. Calculate g.
0, 1/4
Find d, given that -128/3 - 32*d - 2/3*d**3 - 8*d**2 = 0.
-4
Suppose -11 - 9 = -5*w. Suppose -38*u**w - 24*u + 80*u**4 - 44*u**4 + 2*u**3 + 16*u**2 = 0. Calculate u.
-3, 0, 2
Determine k, given that 147*k + 161 - 4*k**2 - 31 + 20 + k**2 = 0.
-1, 50
Suppose -11 = -6*p + a, a = -0*p - p + 3. Determine x, given that -3/7*x**5 + 9/7*x**4 - 27/7 - 30/7*x**p - 9*x + 18/7*x**3 = 0.
-1, 3
Let i(d) be the second derivative of -5*d**7/42 + 2*d**6/3 + 5*d**5/4 + 247*d. What is l in i(l) = 0?
-1, 0, 5
Let n = -29 - -48. Let t = -19 + n. Factor t + 1/5*b**3 + 0*b + 2/5*b**2.
b**2*(b + 2)/5
Let l(w) be the third derivative of w**5/20 - 15*w**4/8 - 8*w**3 + 73*w**2. Solve l(f) = 0 for f.
-1, 16
Let p(u) = -14*u**5 - 10*u**4 - 22*u**3 - 8*u**2 - 6. Let v(s) = 12*s**5 + 10*s**4 + 21*s**3 + 8*s**2 + 5. Let k(x) = 5*p(x) + 6*v(x). Factor k(b).
2*b**2*(b + 1)*(b + 2)**2
Let x(f) = -f**2 + 2*f - 1. Let h(g) = -3*g**2 + 6*g - 11. Let l(c) = h(c) - 5*x(c). Determine z so that l(z) = 0.
-1, 3
Determine h, given that -32*h**4 + 508/3*h**3 + 52*h - 64/3*h**5 - 16/3 - 488/3*h**2 = 0.
-4, 1/4, 1
Let v be 1/6 - (-8 + (-4775)/(-750)). What is g in -3/5*g + v*g**2 + 0 = 0?
0, 1/3
Let y(d) be the second derivative of -d**7/462 + d**6/165 + 9*d**5/55 + 2*d**4/3 + 32*d**3/33 - 5*d - 2. Let y(b) = 0. What is b?
-2, 0, 8
Suppose -g - 80 = -0*g. Let a = g + 402/5. Solve -2/5 + 4/5*b + 0*b**2 + a*b**4 - 4/5*b**3 = 0 for b.
-1, 1
Let o(n) be the first derivative of -n**4/4 + 10*n**3/3 - 4*n**2 + 2*n - 13. Let w be o(6). Solve 98 - w - 2*q**3 = 0 for q.
0
Suppose -7*c - 257 = 373. Let t be (4/c)/((-9)/90). Solve -10/9*y**2 + t + 10/9*y + 2/3*y**4 - 10/9*y**3 = 0 for y.
-1, -1/3, 1, 2
Factor 2/5*y**3 + 34/5*y + 16/5*y**2 + 4.
2*(y + 1)*(y + 2)*(y + 5)/5
Let f(y) = -8*y**4 + 20*y**3 - 22*y**2 + 10*y - 6. Let i(k) = k**4 - k**3 - k**2 + k + 1. Let d(o) = f(o) + 6*i(o). Determine q so that d(q) = 0.
0, 1, 2, 4
Let x(z) be the first derivative of -1/18*z**3 - 2 + 6*z + 1/12*z**2 - 1/24*z**4. Let v(y) be the first derivative of x(y). Find t, given that v(t) = 0.
-1, 1/3
Let c(s) be the first derivative of 2*s**6/3 + 29*s**5/5 + 43*s**4/4 - 19*s**3/3 - 47*s**2/2 - 10*s + 123. Suppose c(a) = 0. What is a?
-5, -2, -1, -1/4, 1
Let n = 53 + -58. Let p be 2/(-3)*3/n. Factor -2/5*j**2 + p*j + 4/5.
-2*(j - 2)*(j + 1)/5
Suppose 0 + 3 = -3*t. Let g(w) = w**3 + 3*w**2 + 6*w + 3. Let m(q) = q**2 - q - 1. Let i(j) = t*m(j) - g(j). Find o such that i(o) = 0.
-2, -1
Let b(u) be the second derivative of -u**5/4 + 5*u**4/4 + 15*u**3 - 135*u. Suppose b(v) = 0. What is v?
-3, 0, 6
Let k = 161 + -159. Determine c, given that 8*c**k - 3*c**2 + 47 - 17 - 21*c - 14*c = 0.
1, 6
Suppose -5*h = -4*a + 6*a, 0 = a. Suppose 5/3*w**2 - 5/3 + h*w = 0. What is w?
-1, 1
Let y(k) = -3*k**3 - 27*k**2 + 63*k - 45. Let b(a) = 4*a**3 + 53*a**2 - 125*a + 91. Let n(g) = 3*b(g) + 5*y(g). Factor n(f).
-3*(f - 4)*(f - 2)**2
Suppose 0 = -2*c - 5*q + 6, 3*c + 3*q - 9 = q. Determine h so that -10*h + 10 - 5*h + 15*h**c - 5*h**4 - 17*h**2 + 12*h**2 = 0.
-1, 1, 2
Let d(v) be the second derivative of 0 + 0*v**3 + 1/60*v**5 + 0*v**4 + 3*v + 7/2*v**2. Let a(l) be the first derivative of d(l). Factor a(k).
k**2
Let j(b) = -b - 3. Let r(m) = -m**2 - m + 1. Let z be r(2). Let t be j(z). Suppose 5*o**2 + 2*o**2 + 2*o + 6*o**3 - o**2 + t*o**4 = 0. What is o?
-1, 0
Let p(u) be the first derivative of u**4 + 12*u**3 + 28*u**2 - 542. Let p(o) = 0. What is o?
-7, -2, 0
Let x(u) = u**3 + u - 2. Let m(s) = -91*s**3 + 168*s**2 + 269*s + 26. Let c(g) = -m(g) - 4*x(g). Factor c(t).
3*(t - 3)*(t + 1)*(29*t + 2)
Let i(j) be the second derivative of 0*j**3 + 0*j**2 - 1/210*j**7 + 1/60*j**4 - 1/150*j**6 + 1/100*j**5 + 0 - 21*j. Find y, given that i(y) = 0.
-1, 0, 1
Let o(w) = w**2 - w - 3. Let x be o(3). Factor y**2 + y*