*8/19040 - o**7/21420 + o**4/3 - 24*o. Let y(z) be the third derivative of g(z). Factor y(p).
2*p**2*(p - 1)*(4*p + 1)/17
Suppose -2*j - 3*c = -45, 5*j - 7*c + 3*c = 55. Suppose -6*h = -h - j. Solve 9*l**5 - 39*l**4 - 30*l**2 + 2*l + 37*l**h + 15*l**2 + 6*l**4 = 0 for l.
0, 1/3, 1, 2
Let d(o) be the first derivative of 0*o + 23 - 10/27*o**3 - 1/18*o**4 + 2/3*o**2. Factor d(h).
-2*h*(h - 1)*(h + 6)/9
Factor 4*j**3 + 72 + 5*j - 9*j**5 - 39 - 18*j**2 - 31 + 16*j**4.
-(j - 1)**3*(j + 1)*(9*j + 2)
Let s(l) be the third derivative of -l**7/1260 - l**6/240 + l**5/24 - 17*l**4/144 + l**3/6 - 88*l**2. Suppose s(o) = 0. What is o?
-6, 1
Factor -963*d**2 + 9*d - 968*d**2 + 1928*d**2.
-3*d*(d - 3)
Let a be -2*(-1)/(1/1). Let 4*p - 16*p + 20*p**3 - 8*p - 10*p**4 + 8 + a*p**4 = 0. What is p?
-1, 1/2, 1, 2
Let d(b) be the third derivative of 0*b**3 + 1/252*b**8 + 12*b**2 + 4/315*b**7 + 0 - 4/45*b**5 - 1/30*b**6 + 2/9*b**4 + 0*b. Let d(s) = 0. What is s?
-2, 0, 1
Determine n so that -3/5*n**3 - 108/5*n**2 + 0*n + 0 = 0.
-36, 0
Let h(a) be the first derivative of -35/24*a**6 - 5/4*a**2 - 65/12*a**3 + 20 - 135/16*a**4 - 23/4*a**5 + 0*a. Factor h(f).
-5*f*(f + 1)**3*(7*f + 2)/4
Let n(i) be the second derivative of i**6/30 - 7*i**5/4 - 19*i**4/6 + 12*i**3 - 619*i. Factor n(m).
m*(m - 36)*(m - 1)*(m + 2)
Let c(j) = -31*j**5 - 60*j**4 + 123*j**3 + 110*j**2 - 176*j + 42. Let o(t) = 2*t**5 - t**3 + 2*t + 1. Let z(d) = -c(d) + 2*o(d). What is v in z(v) = 0?
-2, 2/7, 1
Suppose -10*x = -18 - 2. Suppose 29*g**2 + x*g**3 + 4 - 6*g**3 - 24*g - 5*g**3 = 0. Calculate g.
2/9, 1, 2
Let l(d) = -85*d**2 + 7535*d + 7645. Let f(a) = -7*a**2 + 628*a + 637. Let v(b) = 25*f(b) - 2*l(b). Factor v(r).
-5*(r - 127)*(r + 1)
Let z(g) be the first derivative of 14*g**5/25 - 6*g**4/5 + 2*g**3/5 + 2*g**2/5 - 40. Factor z(u).
2*u*(u - 1)**2*(7*u + 2)/5
Let w be 33/5 - 16/(-40). Let t(s) be the third derivative of 2*s**2 - 1/48*s**4 + 0*s**3 - 1/80*s**6 - 1/420*s**w + 0*s + 0 - 1/40*s**5. What is h in t(h) = 0?
-1, 0
Let u(n) = 8*n + 104. Let s be u(-13). Let z(j) be the third derivative of 0*j + 0*j**3 + 4*j**2 + 1/20*j**5 + s + 0*j**4 + 1/630*j**7 + 1/60*j**6. Factor z(q).
q**2*(q + 3)**2/3
Let c(x) be the second derivative of x**5/20 - x**4/3 + x**2 - 6*x. Let a be c(4). Let -a*o**2 + 2*o - 8 - 14*o - 10 = 0. Calculate o.
-3
Let k = -77 - -82. Suppose -d = 4*d + k*n - 25, -3*n + 13 = 2*d. Factor -2/7*g**d - 2/7*g + 0.
-2*g*(g + 1)/7
Let n(p) = -3*p**3 + p**2 - p - 1. Let c be n(1). Let t(y) = 4*y**2 - 64*y + 260. Let h(v) = 4*v**2 - 64*v + 261. Let f(g) = c*h(g) + 5*t(g). Factor f(j).
4*(j - 8)**2
Let u(o) be the first derivative of 0*o**4 + 0*o + 0*o**6 + 0*o**5 + 4/3*o**3 + 0*o**2 + 1/560*o**7 - 3. Let l(g) be the third derivative of u(g). Factor l(n).
3*n**3/2
Let m(f) be the first derivative of f**3/24 + 4*f**2 + 214. Suppose m(q) = 0. What is q?
-64, 0
Suppose 3*i + 0 - 6 = 0. Suppose x + 8 = 3*x. Factor -3*h**4 - 2*h**4 - 11*h**2 - x*h + h**4 - 12*h**3 - h**i.
-4*h*(h + 1)**3
Let m = 532 - 522. Suppose 5/2*s**5 + 5 + 5*s**2 - 10*s**4 - 25/2*s + m*s**3 = 0. Calculate s.
-1, 1, 2
Solve 3*g**2 - 13*g - 29*g + 108 + 15*g - 6*g**2 = 0 for g.
-12, 3
Suppose 4*q + 31 - 3 = 5*k, 2*k = 3*q + 14. Determine c so that 1/2*c**k + 0 + 1/2*c - 1/2*c**3 - 1/2*c**2 = 0.
-1, 0, 1
Let u = 32 - 56. Let l = 37 + u. Factor l*g**2 - g**3 + 12*g**2 - 23*g**2 - g.
-g*(g - 1)**2
Let t(j) be the second derivative of -3*j**5/20 + 2*j**4 - 8*j**3 + 20*j. Factor t(l).
-3*l*(l - 4)**2
Let o = -16144/5 + 3232. Suppose 0 - o*s**3 + 4/5*s**4 + 0*s + 12/5*s**2 = 0. Calculate s.
0, 1, 3
Let n be (8 + -7)/3*3/39. Let o(x) be the second derivative of 0*x**2 + 0*x**5 + 2/195*x**6 + 4*x - 1/273*x**7 + 1/39*x**3 + 0 - n*x**4. Factor o(s).
-2*s*(s - 1)**3*(s + 1)/13
Let h(o) be the third derivative of o**9/45360 - o**7/2520 + o**6/1080 - o**4/24 - 11*o**2. Let b(j) be the second derivative of h(j). Factor b(z).
z*(z - 1)**2*(z + 2)/3
Let q(c) be the third derivative of c**6/120 - 7*c**5/60 - 3*c**4/8 + 5*c**3/3 - 5*c**2. Let n be q(8). What is z in -1 + 2 - 4 - 2*z**n - z**2 - 6*z = 0?
-1
Let m(w) be the third derivative of 13*w**7/210 + 11*w**6/120 - w**5/4 - 11*w**4/24 + w**3/3 + 9*w**2 + w. Factor m(s).
(s - 1)*(s + 1)**2*(13*s - 2)
Let p = -18038 - -18038. Suppose -g**4 - 1/3*g**5 + p*g**3 + 0*g + 0 + 4/3*g**2 = 0. What is g?
-2, 0, 1
Factor 13*t**2 - 11*t**2 + 28 + 2*t**2 - 32*t.
4*(t - 7)*(t - 1)
Let t(l) be the first derivative of -2*l**5/5 - 15*l**4/8 - 35*l**3/12 - 15*l**2/8 - l/2 - 81. Solve t(p) = 0.
-2, -1, -1/2, -1/4
Factor 2*h**2 - 2*h**3 - 2*h**2 - 62694*h**4 + 62692*h**4.
-2*h**3*(h + 1)
Let p(i) be the second derivative of i**7/42 - i**6/10 + i**5/10 + 559*i. Factor p(m).
m**3*(m - 2)*(m - 1)
Factor -1/6*n + 1/6*n**3 - 19/3*n**2 + 19/3.
(n - 38)*(n - 1)*(n + 1)/6
Let a be -2 + (-681)/(-360) + 5/40. Let x(d) be the second derivative of a*d**5 + 4*d + 0 - 1/18*d**3 + 1/36*d**4 - 1/90*d**6 + 0*d**2. Factor x(h).
-h*(h - 1)**2*(h + 1)/3
Let h be (-50)/30*3*-1. Find l, given that 24*l**5 - 7*l**5 - 3*l**3 - 11*l**h + 2*l**2 - 5*l**5 = 0.
-2, 0, 1
Let g be 4/1 + 25 + -11. Suppose -2*o - 4 = 0, -2*o = -5*v + 2*o + g. Solve 1/2 + 1/2*s**v + s = 0.
-1
Let z be (136/(-32))/(-17)*1. Factor -1/4*i**2 + z - i + i**3.
(i - 1)*(i + 1)*(4*i - 1)/4
Let n(w) = 3*w + 15. Let z be n(-6). Let g = z + 7. Factor -d**4 + 9*d**g - 2*d**4 - d**4 + 20*d**3 + 20*d**2.
5*d**2*(d + 2)**2
Let m(n) be the third derivative of 1/24*n**5 - 1/6*n**4 + 0*n + 1/4*n**3 + 0 + 8*n**2. Factor m(b).
(b - 1)*(5*b - 3)/2
Let d(r) = r**2 - 12*r + 14. Let h be d(11). Suppose 17 - h = 7*z. Factor 1/4*x**z + 1/4 - 1/2*x.
(x - 1)**2/4
Let d be 0 - 2/24*(4 - 2). Let k = 11/30 + d. Find t such that -1/5*t**4 - 3/5*t**3 - k*t**2 + 2/5 + 3/5*t = 0.
-2, -1, 1
Let w(q) be the first derivative of 11 + 2/21*q**3 + 10/7*q**2 + 50/7*q. Factor w(v).
2*(v + 5)**2/7
Let o(b) be the second derivative of -35*b**4/12 + 185*b**3/6 - 25*b**2 - 183*b. Factor o(i).
-5*(i - 5)*(7*i - 2)
Suppose 0 = -0*z + 6*z - 42. Let z*s**3 - 10 - 15*s - 7*s**3 + 5*s**3 = 0. Calculate s.
-1, 2
Let j be 1*(-2)/(-4)*2. Let n(o) = 4*o**3 + o - 1. Let m be n(j). Determine r so that 4*r**2 + m + 8*r + r**2 - r**2 = 0.
-1
Suppose 5*l**3 - 2*l**4 + 45*l**2 - 15*l**2 - 3*l**4 = 0. What is l?
-2, 0, 3
Determine w, given that 0 + 5/8*w**2 + 1/8*w**3 + 3/8*w - 1/8*w**4 = 0.
-1, 0, 3
Let l be (228/36 - 6)*18/7. Factor -2/7*s**3 - l*s**2 + 2/7*s**4 + 2/7*s + 4/7.
2*(s - 2)*(s - 1)*(s + 1)**2/7
Let o(u) be the second derivative of -u**7/21 + u**6/5 + u**5/2 - u**4/2 - 4*u**3/3 - 633*u. Find q such that o(q) = 0.
-1, 0, 1, 4
Let s(t) be the first derivative of -2*t**5/5 + t**4/2 + 10*t**3/3 + 3*t**2 + 147. What is o in s(o) = 0?
-1, 0, 3
Let r(h) be the third derivative of 0 - 1/3*h**4 + 0*h + h**3 + 1/30*h**5 - 10*h**2. Factor r(a).
2*(a - 3)*(a - 1)
Suppose 2*q - 74 = -0*s - s, 0 = 5*q - 2*s - 167. Let f be 4 + q/30 + -3 - 2. Factor 0 - 1/2*i**3 + 1/3*i + f*i**2.
-i*(i - 1)*(3*i + 2)/6
Factor -36*g - 1306 + 1630 - 6*g**2 + 4*g**2 - g**2.
-3*(g - 6)*(g + 18)
Let o(j) = 113*j + 906. Let z be o(-8). Suppose -1/2*l**3 + z*l + 2 - 1/2*l**2 = 0. What is l?
-2, -1, 2
Let f be (-4)/(3 + 1) - -9 - 6. Solve -f*q + 0*q**3 - 6 - 1/2*q**4 + 9/2*q**2 = 0.
-3, -1, 2
Let x(q) be the second derivative of q**5/30 + q**4/4 + 2*q**3/3 + 2*q**2/3 - 208*q. Factor x(b).
(b + 2)**2*(2*b + 1)/3
Let x(h) be the first derivative of 2*h**3/21 + 3*h**2/7 - 20*h/7 + 59. Factor x(k).
2*(k - 2)*(k + 5)/7
Let v(l) = -l - 4. Let o be v(-2). Let u = -1 - o. Find q such that 2*q - 2*q**2 - u + 2*q + 1 = 0.
0, 2
Suppose -13*g = -6*g - 126. Suppose 6*h + 0*h = g. Find l, given that 1/4 + 1/4*l - l**2 - l**h = 0.
-1, -1/2, 1/2
Let r(y) be the second derivative of -529*y**4/108 + 92*y**3/27 - 8*y**2/9 - 7*y + 6. Factor r(t).
-(23*t - 4)**2/9
Let h(a) be the first derivative of -2/33*a**3 + 40 - 6/11*a**2 - 10/11*a. Factor h(f).
-2*(f + 1)*(f + 5)/11
Factor 252*l**3 + 1030*l + 345 + 14*l**4 + 8*l**4 + 78*l**3 - 27*l**4 + 1020*l**2.
-5*(l - 69)*(l + 1)**3
Let b(t) be the third derivative of -1/2*t**4 + 0 + 0*t - 1/30*t**6 + 1/5*t**5 + 5*t**2 + 2/3*t**3. Factor b(a).
-4*(a - 1)**3
Let v(r) be the second derivative of 34*r + 1/60*r**5 - 1/6*r**