rst derivative of h(b). Factor d(y).
-2*(y - 2)*(y + 1)/5
Let p be (1/2)/((-2)/(-2)). Let j be (-10)/(-25)*(-10)/(-16). Suppose -j*s**2 + p - 1/4*s**4 - 3/4*s + 3/4*s**3 = 0. What is s?
-1, 1, 2
Let g be 2 + 600215/637 + (-4)/(-14). Let l = 945 - g. Factor -4/13*u + l*u**2 + 0 + 4/13*u**3.
2*u*(u + 2)*(2*u - 1)/13
Let c(y) be the second derivative of y**6/6 + 5*y**5/4 - 5*y**4/12 - 25*y**3/6 + 73*y - 1. Find o such that c(o) = 0.
-5, -1, 0, 1
Let b(j) be the second derivative of 1/120*j**6 + 0*j**2 + 0 + 6*j - 9*j**3 - 9/40*j**5 + 9/4*j**4. Determine f so that b(f) = 0.
0, 6
Let o(c) be the third derivative of 0*c**4 + 0*c - 20*c**2 + 1/1080*c**6 - 1/135*c**5 + 0 + 0*c**3. Factor o(q).
q**2*(q - 4)/9
Suppose -3*y = 4 - 52. Suppose -3*j = -2*l + 2*j + y, j = 0. Factor 1 + 2 + 12*v**2 + 4*v**3 + l*v - 3.
4*v*(v + 1)*(v + 2)
Let s(l) be the third derivative of l**6/150 + 7*l**5/25 - l**4/30 - 14*l**3/5 + 13*l**2. Factor s(n).
4*(n - 1)*(n + 1)*(n + 21)/5
Let m be ((-57)/(-76))/((-297)/24). Let c = 91/132 - m. Let -c*s - 1/4 - 3/4*s**2 - 1/4*s**3 = 0. Calculate s.
-1
Factor 8*w - 6 + 25*w + 60*w**2 + 263*w**3 - 242*w**3.
3*(w + 1)*(w + 2)*(7*w - 1)
Suppose -4*d + 5*c + 32 = 0, 3*d + c - 5 = -0. Solve -6 + 24*h**2 - 10*h + 5*h - 15*h**d + 2*h + 0*h = 0 for h.
-2/5, 1
Suppose 5*w = u - 29 + 11, -w = u. Suppose -5*y**2 + 29 - 33 - 8*y + 0*y**3 - y**u = 0. What is y?
-2, -1
Suppose 3*s = -3*s. Suppose -2*m + 67 - 61 = s. Find w, given that 1/6*w**m + 5/2*w**2 + 125/6 + 25/2*w = 0.
-5
Suppose -6*n + t = -4*n - 118, -2*n = 3*t - 126. Let 3*m + 16 + 14*m + 27*m - 4*m**2 - n*m**3 + 4*m = 0. What is m?
-2/3, -2/5, 1
Let m(v) be the second derivative of -v**7/1680 - v**6/480 + v**4/96 + v**3/48 - 6*v**2 + 6*v. Let n(l) be the first derivative of m(l). Solve n(f) = 0.
-1, 1
Let p be (-2*(-1)/10)/((-201)/(-335)). Let s(f) be the first derivative of p*f - 1/9*f**3 - 3 + 0*f**2. Suppose s(a) = 0. What is a?
-1, 1
Let m(c) be the first derivative of 5/2*c**2 + 5/6*c**3 + 10 + 0*c - 5/8*c**4. Let m(h) = 0. What is h?
-1, 0, 2
Let y(z) be the third derivative of z**8/40320 + z**7/10080 - z**5/15 + z**3/3 - 44*z**2. Let b(x) be the third derivative of y(x). Factor b(j).
j*(j + 1)/2
Let x(w) = -8*w**5 + 139*w**4 - 575*w**3 + 3*w**2 - 3*w + 3. Let b(q) = q**4 + q**3 + q**2 - q + 1. Let p(u) = -6*b(u) + 2*x(u). Let p(f) = 0. Calculate f.
0, 17/2
Factor -6*g**3 + 0*g**4 + 3*g**4 - 5*g + 10*g**2 - 14*g**4 - 7*g**4 + 3*g.
-2*g*(g + 1)*(3*g - 1)**2
Let m(d) be the first derivative of -1/8*d**4 + 0*d + 30 + 0*d**2 - 1/6*d**3. Determine p, given that m(p) = 0.
-1, 0
Let o(c) be the second derivative of c**8/10080 + c**7/1260 - c**5/45 - c**4/3 + 11*c. Let t(l) be the third derivative of o(l). What is v in t(v) = 0?
-2, 1
Let r(o) be the second derivative of -o**4/120 - o**3/20 + 3*o + 32. Suppose r(k) = 0. Calculate k.
-3, 0
Solve 1769*d**2 + 3*d**4 - 1771*d**2 - d**4 = 0.
-1, 0, 1
Let n(g) be the third derivative of g**6/240 - 7*g**5/120 - g**4/48 + 7*g**3/12 + 177*g**2 - g. Let n(m) = 0. What is m?
-1, 1, 7
Suppose 0 = 22*g - 4*g - 810. Let i = 226/5 - g. Factor i*o + 0 - 1/5*o**3 + 1/10*o**4 - 1/10*o**2.
o*(o - 2)*(o - 1)*(o + 1)/10
Let c(r) = r**3 - 2*r**2 - 3*r + 4. Let p be c(3). Suppose -5*i - 2*f + 4 = -0*i, -2*f = 2*i - p. Factor i*l**3 + 2/11*l**5 - 8/11*l**2 + 0 + 6/11*l**4 + 0*l.
2*l**2*(l - 1)*(l + 2)**2/11
Let s(a) = a**2 + 378*a - 1141. Let h be s(3). Factor -4/5*y + 0 - 4/5*y**h.
-4*y*(y + 1)/5
Let n = 13640 + -13637. Solve 10/11*w**n + 36/11*w**2 + 14/11*w - 12/11 = 0 for w.
-3, -1, 2/5
Let l(p) be the second derivative of p**6/15 - 8*p**5/5 - 17*p**4/6 + 75*p. Factor l(o).
2*o**2*(o - 17)*(o + 1)
Suppose -87*g + 89*g = 16. Let n be g/(-10)*32/(-16). Factor -4/5*z**2 + 12/5*z - n.
-4*(z - 2)*(z - 1)/5
Suppose -98*n + 288 = 50*n - 4*n. Factor 2/7*t**n + 4/7 + 6/7*t.
2*(t + 1)*(t + 2)/7
Let l(j) be the first derivative of -12*j**5/5 + 13*j**4 + 20*j**3 - 42*j**2 - 80*j - 124. Determine x, given that l(x) = 0.
-1, 4/3, 5
Let h(d) be the first derivative of d**7/105 + d**6/75 - d**5/50 - d**4/30 + 24*d - 20. Let q(s) be the first derivative of h(s). Factor q(w).
2*w**2*(w - 1)*(w + 1)**2/5
Let c(q) be the first derivative of 2*q**6/9 + 9*q**5/5 + 53*q**4/12 + 7*q**3/3 - 3*q**2/2 - 80. What is w in c(w) = 0?
-3, -1, 0, 1/4
Let j = 2358 - 2358. Factor 0*l**3 + j*l**2 + 0*l**4 + 1/11*l**5 + 0*l + 0.
l**5/11
Solve 0*p + 0 + 6/5*p**2 + 33/5*p**3 + 12/5*p**5 + 39/5*p**4 = 0.
-2, -1, -1/4, 0
Suppose 0 = -7*s - 3*s + 15*s. Let m(g) be the third derivative of -1/30*g**6 - 1/210*g**7 + s*g + 0*g**3 - 1/12*g**5 - 1/12*g**4 - 4*g**2 + 0. Factor m(h).
-h*(h + 1)**2*(h + 2)
Let i be 748/88 + (-9 - -2). Factor 0*d**2 - i*d**5 + 0 + 0*d + d**4 + 1/2*d**3.
-d**3*(d - 1)*(3*d + 1)/2
Let n(q) = -q**2 - 106*q + 442. Let w be n(-110). Determine z so that 3/5*z**w + 3/5*z - 6/5 = 0.
-2, 1
Let u(g) be the first derivative of -g**4/4 - 13*g**3/3 + g**2 + 28*g - 26. Let k be u(-13). Factor 0 + 1/5*y**k + 2/5*y.
y*(y + 2)/5
Let d(p) be the second derivative of -5/6*p**3 - 5/12*p**4 + 0*p**2 + 30*p + 0. Determine a, given that d(a) = 0.
-1, 0
Let d(o) be the second derivative of o**5/150 - 4*o**3/15 - 3*o**2/2 + 31*o. Let v(q) be the first derivative of d(q). Factor v(g).
2*(g - 2)*(g + 2)/5
Let s(h) be the first derivative of h**6/15 - 46*h**5/25 - h**4/5 + 92*h**3/15 + h**2/5 - 46*h/5 - 79. Solve s(r) = 0.
-1, 1, 23
Suppose 125 = 98*c - 71. Factor -3/7*w**3 + 0 + 6/7*w - 3/7*w**c.
-3*w*(w - 1)*(w + 2)/7
Suppose -5*v = -g + 7, -g + 4 - 1 = -3*v. Let h = g - -7. Factor 0*i**2 + 3*i**2 + 8*i**4 - 4*i**5 + h*i - 11*i**2.
-4*i*(i - 1)**3*(i + 1)
Let b(s) be the second derivative of -s**7/42 + 3*s**6/5 - 63*s**5/10 + 107*s**4/3 - 235*s**3/2 + 225*s**2 - 355*s. Let b(q) = 0. Calculate q.
2, 3, 5
Let d(k) be the third derivative of -k**8/1008 - 8*k**7/315 - 7*k**6/90 + k**5/90 + 29*k**4/72 + 7*k**3/9 + 180*k**2. Factor d(c).
-(c - 1)*(c + 1)**3*(c + 14)/3
Find z such that -10*z + 2*z**4 + 106/3*z**2 - 50/3*z**3 + 0 = 0.
0, 1/3, 3, 5
Suppose -3 = -o - 0. Factor 7 + h**2 + 9 + o*h + 5*h.
(h + 4)**2
Let t be ((-112)/(-12) + -1)*84/1190. What is x in 8/17*x + 0 + 2/17*x**3 + t*x**2 = 0?
-4, -1, 0
Let m(n) = n**4 + 47*n**3 - 302*n**2 + 760*n - 652. Let h(x) = x**4 - x**3 + x**2 + x - 1. Let f(c) = 4*h(c) - m(c). Factor f(r).
3*(r - 6)**2*(r - 3)*(r - 2)
Let t = 2160/13 - 166. Let i = -2/369 + 764/4797. Factor 2/13*c**3 - t*c + i - 2/13*c**2.
2*(c - 1)**2*(c + 1)/13
Factor 69/2*b + 34 + 1/2*b**2.
(b + 1)*(b + 68)/2
Let p = 23 - 11. Let a be (p/18)/((-4)/(-18)). Factor -5*n**4 - 7*n**4 - 18*n**3 + 12*n**5 - 6*n**2 - a*n**3.
3*n**2*(n - 2)*(2*n + 1)**2
Suppose -3*g = 2*y - 10, -2*y + 1 = 4*g - 13. Let a(p) be the second derivative of -1/4*p**2 + 0 + 1/6*p**3 - 1/24*p**4 + g*p. Factor a(z).
-(z - 1)**2/2
Let q(p) be the second derivative of -p**8/8400 + p**7/3150 + p**6/450 - 7*p**4/4 + 2*p + 1. Let x(u) be the third derivative of q(u). Factor x(b).
-4*b*(b - 2)*(b + 1)/5
Let y(h) be the third derivative of h**8/6720 - h**7/504 + h**6/90 - h**5/30 - h**4/2 - 2*h**2. Let v(q) be the second derivative of y(q). Factor v(f).
(f - 2)**2*(f - 1)
Let -8 - 5/2*j**2 + 1/2*j**3 - 11*j = 0. What is j?
-2, -1, 8
Let p(k) be the first derivative of 9*k**4/10 - 56*k**3/5 - 59*k**2/5 - 4*k + 105. Find f, given that p(f) = 0.
-1/3, 10
Let m = 64 - 63. Let l be (3 - (7 - (1 + m)))/(-1). Determine b so that -1/2 + 1/2*b**l + 1/4*b**3 - 1/4*b = 0.
-2, -1, 1
Let d(j) be the second derivative of -8*j**4 + 40*j**3/3 - 25*j**2/3 + 40*j. Factor d(i).
-2*(12*i - 5)**2/3
Let w(b) be the third derivative of b**7/70 - 13*b**6/120 + 4*b**5/15 - b**4/6 + 414*b**2. Find p such that w(p) = 0.
0, 1/3, 2
Let o(s) be the third derivative of -s**8/13440 + s**7/1680 - s**5/60 - 7*s**4/24 + 12*s**2. Let c(a) be the second derivative of o(a). Let c(z) = 0. What is z?
-1, 2
Suppose y + 13 - 5 = 0. Let m = y + 10. What is j in 5/3*j**m + 7/3*j + 2/3 = 0?
-1, -2/5
Let i be ((0 - -2) + 0)*2. Suppose -2*y - 70 + 80 = 0. Determine w, given that y*w**2 - 2 - 2*w**i - 2*w**2 + w**2 = 0.
-1, 1
Let o = -204 + 206. Let m(q) be the first derivative of 1/8*q**o + 0*q - 1/12*q**3 + 7 + 1/20*q**5 - 1/16*q**4. Factor m(c).
c*(c - 1)**2*(c + 1)/4
Let i