5*c**3 + 0*c - 1. Let t(z) be the second derivative of a(z). Solve t(m) = 0.
-1/3, 2
Let l(g) be the third derivative of g**8/53760 - g**6/1920 - g**5/10 - 33*g**2. Let w(s) be the third derivative of l(s). Factor w(m).
3*(m - 1)*(m + 1)/8
Let t = -68 + 14. Let f = t + 54. Factor f*h + 2/11*h**3 - 2/11*h**4 + 0*h**2 + 0.
-2*h**3*(h - 1)/11
Suppose 94 = -2*h + 4142. Factor 3760*i**2 - 664*i + h*i + 640*i**4 + 160 + 970*i**4 + 245*i**5 + 3800*i**3.
5*(i + 2)**3*(7*i + 2)**2
Let m(j) be the second derivative of 0 + 0*j**5 + 1/6*j**4 + 0*j**3 + 0*j**2 + 8*j - 1/15*j**6. Solve m(z) = 0 for z.
-1, 0, 1
Factor 4/21*x**3 + 0 - 2/21*x**4 + 16/21*x**2 + 0*x.
-2*x**2*(x - 4)*(x + 2)/21
Suppose -m + 85 = 4*m. Let z = m - 15. Let z*h**2 + 9*h - 11*h**2 - 4 - 7*h**2 + 11*h = 0. Calculate h.
1/4, 1
Let w(x) be the second derivative of -x**7/231 - 4*x**6/55 - 2*x**5/11 + 122*x. Suppose w(k) = 0. What is k?
-10, -2, 0
Let b(q) = -12*q**2 + 12*q - 4. Suppose 5*z = -2*v + 14, 2*z + 3*v = -z + 3. Let g(h) = -12*h**2 + 11*h - 3. Let j(i) = z*g(i) - 3*b(i). Factor j(k).
-4*k*(3*k - 2)
Let k = 386 + -382. Factor 0 - 2/5*a**2 + 0*a + 2/5*a**k + 2/5*a**5 - 2/5*a**3.
2*a**2*(a - 1)*(a + 1)**2/5
Factor -106*q**2 - 84*q**2 - 108*q + 49*q**2 - 180*q - 12.
-3*(q + 2)*(47*q + 2)
Suppose -2/19*y**3 + 0 + 4/19*y - 6/19*y**4 + 6/19*y**2 - 2/19*y**5 = 0. What is y?
-2, -1, 0, 1
Let z(g) be the second derivative of -g**4/21 - 43*g**3/42 + 11*g**2/14 + 6*g. Find l, given that z(l) = 0.
-11, 1/4
Let f = 103 - 87. Suppose v + 7*v = f. Factor -8/11*s - 2/11*s**v - 8/11.
-2*(s + 2)**2/11
Let 1/2*v**3 + v**2 - 1 - 1/2*v = 0. What is v?
-2, -1, 1
Let y(r) be the first derivative of r**4/6 + 28*r**3/9 + 25*r**2/3 + 8*r + 711. Factor y(c).
2*(c + 1)**2*(c + 12)/3
Factor -1103 + 5*g**2 + 2294 + 1121 + 136*g - 3*g**2.
2*(g + 34)**2
Let a(b) be the first derivative of b**6/10 + 3*b**5/5 + 3*b**4/4 - 2*b**3 - 6*b**2 + 11*b + 6. Let x(q) be the first derivative of a(q). Factor x(h).
3*(h - 1)*(h + 1)*(h + 2)**2
Let m be ((-8)/(-7) + -2)*4*84/(-96). Factor 4/3 + 14/3*t**2 + 4/3*t**m + 14/3*t.
2*(t + 1)*(t + 2)*(2*t + 1)/3
Let g = 24 - 9. Determine t so that g - 7*t + t + 4*t**2 - 10*t - 3 = 0.
1, 3
Let k(b) be the first derivative of -5 - 1/20*b**5 - 1/2*b**2 + 1/6*b**3 + 1/12*b**4 + 4*b. Let t(z) be the first derivative of k(z). Factor t(q).
-(q - 1)**2*(q + 1)
Let t(y) be the first derivative of -y**5 + 5*y**4/4 + 5*y**3 - 25*y**2/2 + 10*y + 255. Find i such that t(i) = 0.
-2, 1
Let d(v) be the third derivative of -v**9/272160 + v**7/22680 + v**5/5 + 12*v**2. Let k(f) be the third derivative of d(f). Factor k(g).
-2*g*(g - 1)*(g + 1)/9
Let s(v) be the first derivative of -3*v**5/5 + 75*v**4/4 - 199*v**3 + 1269*v**2/2 + 1944*v - 352. Factor s(p).
-3*(p - 9)**2*(p - 8)*(p + 1)
What is h in -8*h - 8*h**2 + 18*h**2 + 5*h**3 - 7*h = 0?
-3, 0, 1
Suppose 5*v - 45 = 3*c, -5*c + 49 = 2*v - 0*v. Suppose -4*n = -7*n + 5*x + v, 4*n - x - 16 = 0. Factor -6/5*b**n + 0*b + 4/5*b**3 + 2/5*b**2 + 0.
-2*b**2*(b - 1)*(3*b + 1)/5
Let j(v) be the third derivative of v**6/30 + 46*v**5/15 - 47*v**4/6 - 153*v**2 - v. What is i in j(i) = 0?
-47, 0, 1
Let g(w) be the third derivative of -w**8/126 + 11*w**6/180 + w**5/10 + w**4/18 - 414*w**2 - 2*w. Find p such that g(p) = 0.
-1, -1/2, 0, 2
Let v(h) = -h - 20. Let r be v(-11). Let l(f) = -f**3 - 10*f**2 - 11*f - 16. Let y be l(r). Factor 3*w**3 - 2 + 0 - 9*w - y - 2.
3*(w - 2)*(w + 1)**2
Let y(w) be the third derivative of -1/6*w**4 + 0 + 0*w + 0*w**3 + 2*w**2 - 1/3*w**5 - 5/24*w**6. Determine f so that y(f) = 0.
-2/5, 0
Let y(j) be the third derivative of j**7/420 + 73*j**6/240 + 143*j**5/120 + 71*j**4/48 - 2*j**2 + 125*j. Determine d so that y(d) = 0.
-71, -1, 0
Let l(m) be the second derivative of -m**7/42 - 3*m**6/8 - 2*m**5/3 + 14*m**2 + 19*m. Let n(u) be the first derivative of l(u). Suppose n(k) = 0. Calculate k.
-8, -1, 0
Let u(w) be the first derivative of -w + 11 - 9/2*w**2 - 4*w**4 - 8*w**3. Factor u(x).
-(x + 1)*(4*x + 1)**2
Let a(v) be the second derivative of -v**6/135 + 11*v**5/10 + 101*v**4/18 + 305*v**3/27 + 34*v**2/3 + 1017*v. Factor a(d).
-2*(d - 102)*(d + 1)**3/9
Let f(t) be the third derivative of -t**5/30 + 7*t**4/6 - 49*t**3/3 + 18*t**2. Factor f(r).
-2*(r - 7)**2
Let t = 181/426 + 16/213. Let 0 - 1/2*l**2 + 0*l - t*l**3 = 0. Calculate l.
-1, 0
Factor -40/13 - 2/13*u**2 + 42/13*u.
-2*(u - 20)*(u - 1)/13
Factor -4*n - 16*n + 1 - 20*n**2 + 9 + 21*n - 15*n**3 + 4*n.
-5*(n + 1)**2*(3*n - 2)
Let i(m) be the second derivative of 2*m**6/15 + 4*m**5/5 - 92*m**4/3 - 128*m**3 + 4608*m**2 - 273*m. Factor i(h).
4*(h - 6)**2*(h + 8)**2
Let k(u) be the third derivative of u**10/80640 - u**8/8960 + u**6/1920 - u**4/4 - 12*u**2. Let i(w) be the second derivative of k(w). Factor i(y).
3*y*(y - 1)**2*(y + 1)**2/8
Let m(r) = -7*r**3 + 13*r - 10. Let b = 12 + -10. Let a be (-2)/(-2 - (b - 2)). Let s(q) = -q**3 + q - 1. Let o(t) = a*m(t) - 4*s(t). Factor o(c).
-3*(c - 1)**2*(c + 2)
Factor 0*k - 5/4*k**3 + 0 - 7/2*k**2 + 1/4*k**4.
k**2*(k - 7)*(k + 2)/4
Factor 23/2*o - 4 - 21/2*o**2 + 1/2*o**4 + 5/2*o**3.
(o - 1)**3*(o + 8)/2
Suppose -2*x + 3*i = 3, 2*i + 5 = 7*i. Let u(m) be the second derivative of -4*m**2 + 2/3*m**3 + x + 1/3*m**4 + 11*m. Factor u(c).
4*(c - 1)*(c + 2)
Let k(z) = 15*z**3 + 5*z**2 + 20*z. Let r(n) = n + 6237*n**2 - 6237*n**2 + n**3. Let g(h) = -k(h) + 20*r(h). Factor g(j).
5*j**2*(j - 1)
Solve 0 - 2/7*h**3 + 2/7*h + 0*h**2 = 0 for h.
-1, 0, 1
Let r(z) be the third derivative of z**7/1470 - 17*z**6/840 - 13*z**5/140 + 17*z**4/168 + 19*z**3/21 - 2*z**2 - 39. What is j in r(j) = 0?
-2, -1, 1, 19
Let p(a) = 26*a**2 + 24*a - 22. Let t(g) be the second derivative of -3*g**4/4 - 4*g**3/3 + 7*g**2/2 - 6*g. Let w(v) = -3*p(v) - 10*t(v). What is o in w(o) = 0?
-1, 1/3
Let j(u) = -u**3 - 7*u**2 + 41*u + 171. Let i(b) = -3*b**3 - 20*b**2 + 124*b + 514. Let a(y) = 4*i(y) - 11*j(y). Solve a(k) = 0 for k.
-5, 7
Let -32*z**2 - 25*z + 27*z**2 + 271 - 201 = 0. What is z?
-7, 2
Let j(n) be the second derivative of 5*n - 6*n**2 + 0 + 6*n**3 - 5/4*n**4. Factor j(z).
-3*(z - 2)*(5*z - 2)
Suppose -4*v + 64 = -4*w, 2*v - 2*w = 3*v - 13. Let h be ((-20)/v)/((-20)/6). What is z in 0 + 4/5*z - 2/5*z**2 - h*z**3 = 0?
-2, 0, 1
Let u(n) = -n**2 - 3*n. Let t(p) = -3*p**2 - p**2 - p**2 - 13*p. Let x be (54/108)/((-1)/18). Let g(v) = x*u(v) + 2*t(v). Solve g(o) = 0 for o.
0, 1
Factor 4/3*y**3 - 5/3*y**2 + 2/3*y - 1/3*y**4 + 0.
-y*(y - 2)*(y - 1)**2/3
Let r(v) = v**2 + v - 3. Let p(k) be the third derivative of k**5/30 + k**4/12 - 5*k**3/3 + 13*k**2. Let i(c) = 3*p(c) - 10*r(c). Let i(a) = 0. What is a?
-1, 0
Let x(a) = a**3 + 5*a**2 - 8*a + 13. Let v be x(-7). Let k = v + 29. Factor k - 2/7*t**4 + 4/7*t**3 + 2/7*t**2 - 4/7*t.
-2*t*(t - 2)*(t - 1)*(t + 1)/7
Let u = 58 + -58. Suppose u = -2*a - i, 4*a + 2*i - i - 4 = 0. Let -1/8*q + 1/8*q**a - 1/4 = 0. Calculate q.
-1, 2
Let t(s) be the second derivative of s**4/4 - s**3 + 3*s**2/2 - 97*s. Determine q, given that t(q) = 0.
1
Solve 6*p - 30*p**3 - 15*p**2 - 90 + 44*p - 5*p**4 + 90 = 0 for p.
-5, -2, 0, 1
Let c = 21 - 1. Let -c - 7*o**2 - 12*o**2 + 24*o**2 + 15*o = 0. Calculate o.
-4, 1
Let o(n) be the second derivative of -n**7/630 - n**6/180 + n**4/4 + 9*n. Let w(m) be the third derivative of o(m). Factor w(l).
-4*l*(l + 1)
Let a = -11 + 13. Let -96*g**3 + 15*g**2 + 51*g**5 - 198*g**5 + 231*g**4 - 3*g**a = 0. What is g?
0, 2/7, 1
Let o(w) be the third derivative of w**6/24 + w**5/2 + 236*w**2. Find b such that o(b) = 0.
-6, 0
Factor 4 + 1/5*m**2 - 21/5*m.
(m - 20)*(m - 1)/5
Let g(f) be the third derivative of f**8/336 + 2*f**7/35 + 4*f**6/15 - 7*f**5/6 - 75*f**4/8 + 125*f**3/3 + 39*f**2. Find i, given that g(i) = 0.
-5, 1, 2
Let b(g) be the third derivative of 1/600*g**6 - 2/15*g**3 + 0*g**4 + 0*g + 1/100*g**5 + 0 + 14*g**2. Factor b(n).
(n - 1)*(n + 2)**2/5
Suppose 38*z = 43*z - 15. Let y(s) be the third derivative of 1/735*s**7 + 0*s - 4*s**2 + 0*s**4 + 0*s**z - 1/1176*s**8 + 0*s**5 + 0 + 0*s**6. Factor y(h).
-2*h**4*(h - 1)/7
Find b such that -3*b**3 - 9/8*b**2 + 33/4*b + 6 + 3/8*b**4 = 0.
-1, 2, 8
Suppose -754 = -7*h - 719. Let d(z) be the first derivative of -1/4*z**2 + 1/6*z**3 + h + 0*z - 1/32*z**4. Factor d(p).
-p*(p - 2