se v(z) = 0. What is z?
-1, 0
Let r(y) be the second derivative of -y**7/1260 + y**6/360 - y**5/360 - 3*y**2/2 + 15*y. Let q(j) be the first derivative of r(j). Factor q(z).
-z**2*(z - 1)**2/6
Let q(g) = g**3 - g + 1. Suppose h + 3*h - 4 = 0, 5*w = 2*h + 18. Let f(t) = -12*t**2 - 16*t. Let k(v) = w*q(v) - f(v). Suppose k(m) = 0. Calculate m.
-1
Let p(w) be the first derivative of 49*w**6/18 + 14*w**5/5 - 10*w**4/3 - 14*w**3/3 - 3*w**2/2 - 127. Determine q so that p(q) = 0.
-1, -3/7, 0, 1
Let z(d) be the third derivative of d**6/72 + d**5/8 - 5*d**4/6 - 7*d**3/2 - 17*d**2. Let i(v) be the first derivative of z(v). Determine c so that i(c) = 0.
-4, 1
Let g(a) be the third derivative of a**7/105 - a**6/20 - 7*a**5/30 + 5*a**4/4 + 6*a**3 + 4*a**2 - 19*a. Factor g(o).
2*(o - 3)**2*(o + 1)*(o + 2)
Let u be (1 - 24)*(-4 - -5)/1. Let h = u - -27. Determine w so that -w**3 - 1/2*w + 0 - 5/4*w**2 - 1/4*w**h = 0.
-2, -1, 0
Let -34/3*r**2 + 0*r**3 + 32/3 + 2/3*r**4 + 0*r = 0. What is r?
-4, -1, 1, 4
Suppose 48/7*r - 2/7*r**3 + 0 - 10/7*r**2 = 0. What is r?
-8, 0, 3
Let p(w) = w**3 - 45*w**2 + 329*w - 180. Let x be p(36). Solve -9/11 + 1/11*l**2 + x*l = 0 for l.
-3, 3
Let x(r) be the third derivative of r**6/900 - 2*r**5/225 - r**4/180 + 4*r**3/45 + 482*r**2. Factor x(m).
2*(m - 4)*(m - 1)*(m + 1)/15
Suppose 0*t - 1/4*t**5 + 0 - 3/4*t**4 + 9/4*t**3 - 5/4*t**2 = 0. What is t?
-5, 0, 1
Let z(x) be the third derivative of -19/80*x**6 - 13/4*x**4 + 0*x - 67/60*x**5 - 6*x**3 - 10*x**2 - 1/35*x**7 - 1/672*x**8 + 0. Factor z(o).
-(o + 2)**3*(o + 3)**2/2
Let m(r) be the second derivative of r**5/50 + 7*r**4/30 + 14*r**3/15 + 8*r**2/5 - 30*r. Factor m(f).
2*(f + 1)*(f + 2)*(f + 4)/5
Suppose 0 = 5*v - 4*v - g - 6, 4*v = 3*g + 20. Suppose 0 = 5*u - 2*x - 20, 2*x = -2*u - 3*u. Factor -u*n**2 - v*n + 4 + 2*n**3 - 2*n**2 + 0*n**2.
2*(n - 2)*(n - 1)*(n + 1)
Let c(z) be the second derivative of z**6/165 - z**5/55 - 2*z**4/33 + 8*z**3/33 - 70*z. Factor c(n).
2*n*(n - 2)**2*(n + 2)/11
Let z(c) be the third derivative of -c**5/20 - 13*c**4/16 - 3*c**3/2 + c**2 - 35*c. Factor z(m).
-3*(m + 6)*(2*m + 1)/2
Let j(h) be the first derivative of h**4/30 + h**3/15 + 4*h - 8. Let a(n) be the first derivative of j(n). Factor a(o).
2*o*(o + 1)/5
Let y(r) be the second derivative of r**5/40 + 23*r**4/24 + 91*r**3/12 - 507*r**2/4 + 33*r + 1. Suppose y(p) = 0. Calculate p.
-13, 3
Let y be (10 - 0 - (15 + -15)) + -10. Solve 32/7*b**2 + 24/7*b + 2/7*b**4 + 2*b**3 + y = 0 for b.
-3, -2, 0
Let i(s) be the second derivative of -12*s - 7/9*s**4 - 16/9*s**3 + 32/3*s**2 - 1/15*s**5 + 0. Factor i(b).
-4*(b - 1)*(b + 4)**2/3
Let h = 211/20504 + 1/932. Let a = 185/792 - h. Factor a*m - 2/9*m**2 + 0.
-2*m*(m - 1)/9
Let k(h) = -2*h - 10. Let p be k(-6). Suppose 0 = -5*i + 24 - 4. Factor p*r**3 + r**2 + 0*r**2 - i*r**3 + 2*r - r**4 + 0*r**2.
-r*(r - 1)*(r + 1)*(r + 2)
Let n(c) be the first derivative of 0*c**2 - 1/2*c**6 + 6/5*c**5 + 0*c - 3/4*c**4 - 5 + 0*c**3. Factor n(r).
-3*r**3*(r - 1)**2
Suppose -15*y - 3*h = -16*y + 15, -4*h = y + 13. Let c(l) be the third derivative of y*l**2 + 0 - 1/8*l**4 + 0*l + 1/60*l**5 + 1/3*l**3. Factor c(n).
(n - 2)*(n - 1)
Let w be ((-1 - 0)/2)/((-10)/60). Let -35*l**2 + 24*l + 152*l**2 + 13*l**3 - 82*l**w - 12 - 60*l**4 + 0 = 0. Calculate l.
-2, -2/5, 1/4, 1
Let b(c) be the second derivative of c**4/3 - 68*c**3/3 - 241*c. Factor b(y).
4*y*(y - 34)
Let i(o) = 103*o**3 + 42*o**3 + 266*o + 680*o**2 + 76 + 139*o + 225*o**3. Let z(b) = b**3 - b**2 + 1. Let u(w) = i(w) + 5*z(w). Factor u(s).
3*(5*s + 3)**3
Let w(b) be the third derivative of b**6/600 + 17*b**5/300 + b**4/4 + 559*b**2. Factor w(g).
g*(g + 2)*(g + 15)/5
Let g be (-1 + 2)/1 - -13. Let y = 19 - g. Determine w so that -6 + y*w - 3*w**2 - 21 - 27*w + 4*w = 0.
-3
Let h be (-30)/36*(1114/(-20) - -2). What is d in -9 + 51/4*d**3 + h*d**2 + 24*d + d**4 = 0?
-6, -1, 1/4
Let m be (5/(-3))/(2/(-6)). Suppose -m*h - 5 = -6*h. Solve 9*o**3 - 2*o**3 - 3*o**3 - o**h - 3*o**5 = 0.
-1, 0, 1
Let t = 1172 + -1172. Let j(k) be the second derivative of -1/9*k**3 + 1/30*k**5 - 1/3*k**2 + t + 1/18*k**4 + 7*k. Factor j(h).
2*(h - 1)*(h + 1)**2/3
Let v(i) be the second derivative of 16*i + 0 + 1/210*i**7 + 0*i**3 - 1/150*i**6 + 1/60*i**4 + 0*i**2 - 1/100*i**5. Factor v(u).
u**2*(u - 1)**2*(u + 1)/5
Let j(g) be the second derivative of g**7/168 + 3*g**6/20 + 3*g**5/2 + 23*g**4/3 + 22*g**3 + 36*g**2 + 8*g + 2. Factor j(d).
(d + 2)**3*(d + 6)**2/4
Let n(q) = 6*q**5 + 4*q**4 - 5*q**3 - 5*q**2 + 5. Let o(w) = -6*w**5 - 4*w**4 + 6*w**3 + 6*w**2 - 6. Let u(t) = 6*n(t) + 5*o(t). Factor u(d).
2*d**4*(3*d + 2)
Let n(d) be the first derivative of -2*d**3/3 + 9*d**2 + 49. Factor n(a).
-2*a*(a - 9)
Let z = -246 - -5176/21. Let g(v) be the second derivative of 4/7*v**2 - 2*v + 3/14*v**4 + 1/210*v**6 + z*v**3 + 1/20*v**5 + 0. Factor g(l).
(l + 1)*(l + 2)**3/7
Factor 2/3*n**4 - 4/3*n - 2/3 + 4/3*n**3 + 0*n**2.
2*(n - 1)*(n + 1)**3/3
Let g(w) be the first derivative of -5*w**6/6 - 12*w**5 - 205*w**4/4 - 190*w**3/3 + 90*w**2 + 280*w - 51. Factor g(c).
-5*(c - 1)*(c + 2)**3*(c + 7)
Let y(m) be the third derivative of m**5/15 + 3*m**4/2 - 336*m**2. Solve y(a) = 0.
-9, 0
What is y in 2/5*y**2 + 4/5*y**3 - 4/5*y - 2/5*y**4 + 0 = 0?
-1, 0, 1, 2
Let b(h) be the first derivative of h**3/7 - 3*h**2/14 - 6*h/7 + 407. Factor b(d).
3*(d - 2)*(d + 1)/7
Let t(a) be the second derivative of -3*a**7/14 - 43*a**6/30 + 19*a**5/20 + 43*a**4/12 - 5*a**3/3 + 2*a - 677. Solve t(v) = 0 for v.
-5, -1, 0, 2/9, 1
Let l = -72 + 75. Suppose 3*i = -15, -i - 7 = -l*u - 2. Factor u - 3/4*q + 3/2*q**3 - 3/4*q**2.
3*q*(q - 1)*(2*q + 1)/4
Suppose -3/10*k**2 + 0 + 0*k + 1/10*k**5 + 7/10*k**3 - 1/2*k**4 = 0. Calculate k.
0, 1, 3
Let m(n) be the second derivative of 1/120*n**5 + 2*n - 1/3*n**3 + 1/12*n**4 - 7/2*n**2 + 0 - 1/240*n**6. Let b(x) be the first derivative of m(x). Factor b(s).
-(s - 2)*(s - 1)*(s + 2)/2
Solve -26/9*m**3 + 0 + 0*m - 2/9*m**4 - 80/9*m**2 = 0.
-8, -5, 0
Let y(w) = w**3 + 5*w**2 - 2*w - 8. Let u be y(-5). Let f = -3/2 + u. Factor -1 + a**2 + 1/2*a - f*a**3.
-(a - 2)*(a - 1)*(a + 1)/2
Let o = 2317 - 2315. Factor 1/5*b**o + 0*b + 0.
b**2/5
Let s(v) be the second derivative of v**5/80 - 27*v**4/16 + 729*v**3/8 - 19683*v**2/8 + 714*v. Determine y so that s(y) = 0.
27
Let c(z) be the third derivative of z**8/560 + z**7/175 - 3*z**6/100 - 2*z**5/25 + z**4/8 + 3*z**3/5 - 2*z**2 + 90*z. Find i such that c(i) = 0.
-3, -1, 1, 2
Let x = 29 + -35. Let l be (-4)/((-3)/x*-28). Factor 0 + 2/7*v**4 + 0*v - 2/7*v**2 + 2/7*v**5 - l*v**3.
2*v**2*(v - 1)*(v + 1)**2/7
Let h(r) = 3*r**2 - 115*r - 200. Let d be h(40). Factor -1/2*m**4 + 3/2*m + 5/2*m**2 + 1/2*m**3 + d.
-m*(m - 3)*(m + 1)**2/2
Suppose 5*v - 8*v = 72. Let k be (-2)/1 + v*(-12)/126. Find n such that -k*n + 4/7 - 2/7*n**2 = 0.
-2, 1
Let y(n) be the first derivative of 2*n - 1/6*n**3 - 1/3*n**4 - 3/20*n**5 - 6 + 0*n**2. Let t(r) be the first derivative of y(r). Factor t(l).
-l*(l + 1)*(3*l + 1)
Determine a, given that -18/11 + 2/11*a**3 + 18/11*a**2 - 2/11*a = 0.
-9, -1, 1
Let x = -1099 - -5498/5. Let n(k) be the first derivative of -x*k**2 + 9/5*k - 1/5*k**3 + 4. Find l such that n(l) = 0.
-3, 1
Factor 600*x**2 + 205 - 610*x - 47*x**4 + 127*x**4 - 41*x**4 - 44*x**4 - 190*x**3.
-5*(x - 1)**3*(x + 41)
Let z(c) be the first derivative of 5*c**3/3 + 35*c**2 + 104. Factor z(s).
5*s*(s + 14)
Let a(f) be the second derivative of f**5/60 + f**4/36 - 33*f. Factor a(g).
g**2*(g + 1)/3
Factor 0 + 1/5*c**2 + 1/5*c**3 - 1/5*c**4 - 1/5*c.
-c*(c - 1)**2*(c + 1)/5
Let b(z) = 17*z**3 + 8*z**2 - 7*z + 2. Let o(r) = -16*r**3 - 9*r**2 + 6*r - 1. Let v be 1/(-2*4/48). Let q(y) = v*b(y) - 7*o(y). Find f such that q(f) = 0.
-1, 1/2
Let t(k) be the third derivative of k**6/40 - 3*k**5/4 - 33*k**4/8 - 17*k**3/2 - 35*k**2 + 2. Find u, given that t(u) = 0.
-1, 17
Let u**2 - 34/7 - 117/7*u = 0. Calculate u.
-2/7, 17
Let q(r) be the third derivative of 1/32*r**4 - 1/280*r**7 - 3/80*r**5 + 3/160*r**6 + 0 + 0*r**3 - 9*r**2 + 0*r. Let q(l) = 0. What is l?
0, 1
Let b be -2 - (-3 + -11 + 0). Suppose -2*w = 4 - b. Factor 3*a**4 + 2*a**3 + 4*a**3 + 2*a**2 + a**w.
2*a**2*(a + 1)*(2*a + 1)
Let v(m) be the second derivative of m**9/1008 - m**8/560 - m**7/28