p(y) = -3*y - 1. Let z be p(-4). Let u = z - 8. Let d**2 - 1 + u*d**3 - 1 - 3*d + 1 = 0. Calculate d.
-1, -1/3, 1
Let p(r) be the third derivative of -r**7/840 - 6*r**2. Determine a, given that p(a) = 0.
0
Let t be (-2)/30 + 3/18. Let f(z) be the second derivative of -t*z**6 + 5/12*z**4 - z**2 - 1/20*z**5 + 0 - 2*z + 1/6*z**3. Factor f(n).
-(n - 1)*(n + 1)**2*(3*n - 2)
Let a = -5406/7 + 774. Factor -9/7*n**3 + 0 - 24/7*n**2 - a*n.
-3*n*(n + 2)*(3*n + 2)/7
Let q(u) be the first derivative of 2*u**3/9 - u**2/3 + u/6 + 3. Find n, given that q(n) = 0.
1/2
Let s(x) = -2*x - 4. Let v be s(-3). Suppose w - 3*z - 5 = 2*w, v*w - 17 = 3*z. Factor 2*r**2 + 2*r**w + 3*r**4 + 4*r**3 - 3*r**4.
2*r**2*(r + 1)**2
Factor -13*d**3 + 11*d**3 + 4*d**2 + 2*d**2.
-2*d**2*(d - 3)
Let p(i) be the third derivative of 2*i**2 + 1/112*i**8 + 0*i**5 + 0*i**4 + 1/70*i**7 + 0*i**3 + 0*i + 0 + 0*i**6. Factor p(s).
3*s**4*(s + 1)
Find f such that -2/3*f**2 + 4/3 + 2/3*f = 0.
-1, 2
Let w be (2/(-20))/((-4)/24). Factor 3/5*h**4 + 0 + w*h**3 - 6/5*h**2 + 0*h.
3*h**2*(h - 1)*(h + 2)/5
Suppose 13*i + 4 = 17*i. Let g be (-7 + 7)/((-1)/i). Solve 0*l + 1/2*l**3 + g + 0*l**2 = 0 for l.
0
Let c(q) = -q**3 - 7*q**2 - 3*q - 5. Let x(s) = -3*s**3 - 15*s**2 - 6*s - 12. Let z(l) = 9*c(l) - 4*x(l). Find b, given that z(b) = 0.
-1, 1
Let g(h) be the third derivative of 0 + 4*h**2 - 9/2*h**3 + 0*h - 3/4*h**4 - 1/20*h**5. Suppose g(a) = 0. Calculate a.
-3
Let i(s) be the first derivative of -12*s - 2 - s**3 - 6*s**2 - 1 + 2. Factor i(r).
-3*(r + 2)**2
Let g = 16/107 - -348/535. Determine m, given that -2/5 - g*m - 2/5*m**2 = 0.
-1
Let j(p) be the first derivative of p**3 - 3*p**2/2 - 7. Factor j(n).
3*n*(n - 1)
Factor 23 + 72*o - 6 - 12*o**4 - 132*o**2 - 1 + 70*o**3.
-2*(o - 2)**3*(6*o + 1)
Let z(i) be the second derivative of -2*i**7/63 - 2*i**6/15 + i**5/3 + i**4/3 - 8*i**3/9 + 22*i. Suppose z(j) = 0. Calculate j.
-4, -1, 0, 1
Let q = 970 - 4838/5. Suppose 0 - 12/5*v**2 - q*v**4 - 18/5*v**3 - 3/5*v**5 - 3/5*v = 0. What is v?
-1, 0
Let d(k) be the first derivative of 3*k**4/28 + 5*k**3/7 + 3*k**2/2 + 9*k/7 + 2. Factor d(s).
3*(s + 1)**2*(s + 3)/7
Let a(t) be the first derivative of -3*t**5 + 5*t**4/4 + 10*t**3/3 - 21. Suppose a(p) = 0. Calculate p.
-2/3, 0, 1
Let m(k) = 11*k**3 - 30*k**2 + 48*k - 24. Let n(g) = 27*g**3 - 75*g**2 + 120*g - 60. Let r(v) = 12*m(v) - 5*n(v). Factor r(a).
-3*(a - 2)**2*(a - 1)
Let b(g) be the third derivative of -g**10/75600 + g**9/7560 - g**8/5600 - g**7/700 + g**4/6 - g**2. Let h(j) be the second derivative of b(j). Factor h(s).
-2*s**2*(s - 3)**2*(s + 1)/5
Let k(n) be the first derivative of n**3 - 3*n**2/2 - 4. Factor k(l).
3*l*(l - 1)
Let q(a) = 2*a - 6. Let u be q(4). Let -3*h - 10*h**u - 3 + 13*h**2 + 3*h = 0. What is h?
-1, 1
Let m = 2059/392 + -1/392. Let o = 6 - m. What is a in 1/2 - a**3 + o*a - 1/2*a**2 + 0*a**4 + 1/4*a**5 = 0?
-1, 1, 2
Suppose -37*z + 10343 = 279. Factor -818/5*v**2 - 18/5 - 160*v**4 - 204/5*v - z*v**3.
-2*(4*v + 1)**2*(5*v + 3)**2/5
Let m(s) be the third derivative of -1/21*s**7 + 1/15*s**5 + 0*s + 0*s**3 - 1/20*s**6 + 0 + 4*s**2 + 0*s**4. Find c, given that m(c) = 0.
-1, 0, 2/5
Suppose -4*j + 24 = 2*m, j - 6 = -2*m + 3. Let k(q) be the first derivative of 2/15*q**5 + 2/3*q**3 - 1/3*q**m - 1/2*q**4 + 0*q + 1. Factor k(x).
2*x*(x - 1)**3/3
Let s be 3/(-12) + (9/(-4))/(-3). Factor s*g**2 - g + 0.
g*(g - 2)/2
Let l be (-36)/(-16) + (-3)/12. Let p(b) be the third derivative of 0*b + 1/96*b**4 - 1/240*b**5 + 0*b**3 + 0 + l*b**2. Factor p(k).
-k*(k - 1)/4
Let k(w) be the second derivative of 99/7*w**4 + 0 + 243/35*w**6 - 6*w + 243/14*w**5 + 116/21*w**3 + 8/7*w**2. Determine t, given that k(t) = 0.
-1, -2/9
Factor 1/2*h + 0*h**2 - 2/3*h**3 - 1/6.
-(h + 1)*(2*h - 1)**2/6
Let o be (-24)/(-10) + 4/(-10). Factor q**3 - 6*q - o - 12*q**2 - 9*q**3 - 2*q**4 - 2*q.
-2*(q + 1)**4
Let x(q) be the third derivative of q**6/360 - q**5/180 - q**4/18 + 2*q**3/9 + 17*q**2. Factor x(a).
(a - 2)*(a - 1)*(a + 2)/3
Let q be (3/9)/((-2)/(-84)). Let k be 6/(-4) + q/8. Factor k*a**4 - 2*a - 3/2*a**3 + 3*a**2 + 0.
a*(a - 2)**3/4
Factor -16*h + 16*h - 31*h**3 + 33*h**3 - 2*h**2.
2*h**2*(h - 1)
Let z = -23 + 25. Let p be z/(-15)*18/(-12). What is k in -1/5*k**5 - 1/5*k**2 + 0 + 1/5*k**3 + 0*k + p*k**4 = 0?
-1, 0, 1
Let l(k) be the third derivative of -k**8/20160 - k**7/7560 - k**4/8 - k**2. Let p(o) be the second derivative of l(o). Factor p(a).
-a**2*(a + 1)/3
Factor -768/5 - 3/5*b**2 - 96/5*b.
-3*(b + 16)**2/5
Let k(m) = -2*m**3 + 4*m**3 + 38*m + 22*m + 16 + 32 + 18*m**2. Let s(y) = 6*y**3 + 54*y**2 + 179*y + 145. Let q(x) = -17*k(x) + 6*s(x). Solve q(w) = 0.
-3
Let p(u) be the first derivative of 3*u**4/4 + 5*u**3 - 9*u**2 - 2. Find j such that p(j) = 0.
-6, 0, 1
Let y be (4/3)/(3/9). Solve -2*q + 3*q - 2*q**2 + q**y - q + 1 = 0 for q.
-1, 1
Suppose -k - 3*x = -2 + 3, 2*x - 6 = -4*k. Let -11*o**3 - k*o - 2*o**4 + 0*o + 2*o**2 + 13*o**3 = 0. Calculate o.
-1, 0, 1
Let m(d) be the third derivative of 0 + 0*d**3 + 1/54*d**4 + 1/270*d**5 - 5*d**2 - 1/945*d**7 + 1/1512*d**8 - 1/180*d**6 + 0*d. Find r such that m(r) = 0.
-1, 0, 1, 2
Suppose -s = -o + 3*o - 25, 0 = -4*o - 3*s + 55. Let k be 129/35 - o/35. Factor -11/5*f**2 + 0 + f**5 - k*f**4 + 2/5*f + 21/5*f**3.
f*(f - 1)**3*(5*f - 2)/5
Let b(s) = 4*s. Let u be b(2). Suppose -3*g + 3*m = -6, 4*g = 3*g - 5*m + u. Let g*a - 8*a**2 - 21*a**4 + 2 + 5*a**4 - 5*a**5 - 22*a**3 - 2*a**4 = 0. What is a?
-1, 2/5
Let r = 13 + -17. Let m = r - -4. Factor m - 6/5*k**2 + 3/5*k**3 + 0*k.
3*k**2*(k - 2)/5
Factor -24*c + 3 + 24*c - 3*c**2.
-3*(c - 1)*(c + 1)
Let x(z) be the first derivative of z**8/9240 - z**6/990 + z**4/132 - z**3/3 + 3. Let l(q) be the third derivative of x(q). Factor l(w).
2*(w - 1)**2*(w + 1)**2/11
Find s, given that 0 - 4*s + 1/3*s**2 = 0.
0, 12
Let t(k) be the third derivative of -k**8/120 + k**7/210 - 2*k**3/3 - 4*k**2. Let b(c) be the first derivative of t(c). Solve b(s) = 0 for s.
0, 2/7
Let a = -7 - -12. Let d be (-10)/8*(-2)/a. Find s, given that 1/2*s**5 + d*s + 1/2 - s**3 - s**2 + 1/2*s**4 = 0.
-1, 1
Let y = -8 + 7. Let p = 3 + y. Factor p*a - 6*a**2 + a - a**2 - a.
-a*(7*a - 2)
Let o(v) = v**5 + 4*v**4 + 4*v**3 + v**2 - 5*v. Let w(j) = 4*j**4 + 4*j**3 - 4*j. Let q(h) = 4*o(h) - 5*w(h). Factor q(t).
4*t**2*(t - 1)**2*(t + 1)
Let d(i) be the first derivative of -3/11*i**2 + 2/11*i - 1 - 1/22*i**4 + 2/11*i**3. Let d(n) = 0. What is n?
1
Let d be (-12)/20 - (-139)/240. Let x = 103/336 + d. Determine r so that -x*r**2 + 2/7*r + 0 = 0.
0, 1
Let h be 2/(-6) + (-182)/(-294). Let l = 93 + -649/7. Find b such that -l*b**3 - 2/7*b**2 + h + 2/7*b = 0.
-1, 1
Let u = 79/154 - 5/22. Factor -10/7*m - 2/7*m**5 - 20/7*m**3 - 20/7*m**2 - u - 10/7*m**4.
-2*(m + 1)**5/7
Let f(n) be the second derivative of -1/12*n**4 - 4*n - 1/90*n**6 + 1/20*n**5 + 1/18*n**3 + 0*n**2 + 0. Factor f(k).
-k*(k - 1)**3/3
Let u(g) = g. Let x(z) = -z**3 - 6*z**2 - 15*z - 8. Let y(r) = -6*u(r) - 2*x(r). Suppose y(q) = 0. What is q?
-2
Let v(r) be the second derivative of r**7/10080 + r**6/2880 - r**5/240 - r**4/4 - 2*r. Let a(m) be the third derivative of v(m). Determine t so that a(t) = 0.
-2, 1
Let l(s) be the first derivative of -1/2*s**2 + 1/3*s**3 - 5 + 1/4*s**4 - 1/5*s**5 + 0*s. Let l(f) = 0. What is f?
-1, 0, 1
Suppose 0*b - 4*b - 2 = -2*q, 5*b + 3*q = 3. Factor -1/2*d + 1/2*d**2 + b.
d*(d - 1)/2
Let f = 1161/7 + -165. Let c(r) be the first derivative of -2 + 2/7*r**2 - f*r**3 + 0*r + 1/2*r**4. Solve c(m) = 0.
0, 2/7, 1
Let n(q) be the third derivative of 0*q**3 + 0 + 0*q + 1/2184*q**8 + 0*q**5 - 1/390*q**6 - 10*q**2 + 1/156*q**4 + 0*q**7. Suppose n(a) = 0. What is a?
-1, 0, 1
Let v(a) = a**2 - a + 8. Suppose 0 = -2*j - 3*y - 3, -3 = 3*j + 2*y + y. Let t be v(j). Let -16/7 - 54/7*u**3 + t*u - 36/7*u**2 + 54/7*u**4 = 0. Calculate u.
-1, 2/3
Let m(f) be the second derivative of 7*f**7/30 + 77*f**6/120 + 8*f**5/15 + f**4/6 + 2*f**2 + 7*f. Let h(q) be the first derivative of m(q). Factor h(j).
j*(j + 1)*(7*j + 2)**2
Let r(c) be the first derivative of -6 + 3 + 4*c**2 - 46*c**2 - 1 + 49*c**3 + 12*c. Factor r(z).
3*(7*z - 2)**2
Let o be (-2)/10 - 0 - -1. Solve o*q + 4/5 + 1/5*q**2 = 0 for q.
-2
Let w(c) be the third derivative of c**8/504 + 4*c*