12 - 3 + 6*o**2 + 3*o**2 = 0.
-1, 3
Let v(z) be the third derivative of z**7/140 + 3*z**6/80 - z**5/20 - 3*z**4/4 - 2*z**3 + 5*z**2 + 5*z. Factor v(l).
3*(l - 2)*(l + 1)*(l + 2)**2/2
Let l(w) be the third derivative of w**5/12 + 5*w**4/24 - 10*w**3 + 5*w**2 - 6. Find v such that l(v) = 0.
-4, 3
Suppose 0 = -2*j + 211 + 97. Let n = j + -152. Factor -3/4 - 3/4*u**n - 3/2*u.
-3*(u + 1)**2/4
Let k(c) be the first derivative of -c**3 - 120*c**2 - 4800*c + 83. Suppose k(a) = 0. Calculate a.
-40
Let n = -24 + 25. Let s = -1135 + 1137. Factor 1/4*w**s + n - w.
(w - 2)**2/4
Let y(b) be the second derivative of -1/8*b**4 + 1/60*b**6 + 1/20*b**5 + 0 - 2/3*b**3 - 11*b - b**2. Factor y(t).
(t - 2)*(t + 1)**2*(t + 2)/2
Let i(f) be the first derivative of 8/13*f**2 + 8/13*f + 2/39*f**3 - 5/26*f**4 + 1/39*f**6 - 2/65*f**5 + 2. Factor i(t).
2*(t - 2)**2*(t + 1)**3/13
Let w(h) be the third derivative of h**5/140 + 109*h**4/28 - 425*h**2 - 2*h. Factor w(l).
3*l*(l + 218)/7
Factor 8/5*s - 8/5 - 2/5*s**2.
-2*(s - 2)**2/5
What is o in -48/7*o**3 + 24*o**2 + 12/7 + 93/7*o = 0?
-1/4, 4
Let g(y) be the second derivative of y**4/28 - 15*y**3/14 - 9*y. Find f such that g(f) = 0.
0, 15
Suppose 16 = -4*t, 5*t = -5*s + 2*t + 13. Suppose 5*v - 3*v + 2*u + 8 = 0, s*v + u = -4. Factor v + 2/3*p - 2/9*p**2.
-2*p*(p - 3)/9
Let t = 140425/3 + -46806. Factor -1/3*c**3 - 2 + t*c + 0*c**2.
-(c - 2)*(c - 1)*(c + 3)/3
Let n = -188379/5 - -37677. Factor n*i + 2/5 + 4/5*i**2.
2*(i + 1)*(2*i + 1)/5
Let h(o) be the third derivative of o**8/112 - 13*o**6/40 + 4*o**5/5 + 3*o**4/2 - 8*o**3 + 354*o**2. Determine f so that h(f) = 0.
-4, -1, 1, 2
Let z(b) = -b**2 - 5*b - 3. Let v be z(-3). Suppose r + v*r = 92. Solve -1 - 12*j - j**3 - 17*j**2 + r*j**2 + 9 = 0 for j.
2
Let f(b) = 8*b**2 + b + 8. Let s(v) = 7*v**2 + v + 7. Let k(x) = -6*f(x) + 7*s(x). Let o be k(-2). Suppose 2*a**2 - a**3 + 12*a**3 - 3*a**o = 0. Calculate a.
-1/4, 0
Let u(d) be the second derivative of -d**7/231 - d**6/165 - 51*d. Find s, given that u(s) = 0.
-1, 0
Let p(n) be the second derivative of 13/12*n**3 + 0 + 1/48*n**4 + 169/8*n**2 + 27*n. Let p(j) = 0. What is j?
-13
Let g(d) be the first derivative of 5*d**4/4 - 25*d**3/3 + 20*d**2 - 20*d + 52. Factor g(m).
5*(m - 2)**2*(m - 1)
Suppose 18*h - 7*h - 99 = 0. Suppose 0*l + 2*l**3 - 5 + 10*l + h + 8*l**2 = 0. Calculate l.
-2, -1
Suppose -i**3 + 3 - 4 - 14 + 27*i - 8*i**2 - i**2 - 2*i**3 = 0. What is i?
-5, 1
Let x(w) be the third derivative of w**5/15 + 95*w**4/3 + 18050*w**3/3 - 232*w**2. Solve x(i) = 0 for i.
-95
Suppose -5*d = 2*s + 1 + 6, -15 = 5*d. Let j(x) be the third derivative of -1/50*x**5 + 0*x + 0 + 4*x**2 - 1/15*x**3 + 1/15*x**s. Let j(b) = 0. What is b?
1/3, 1
Let t(s) be the second derivative of 1/6*s**3 - s**2 - 1/120*s**6 + 2*s - 1/60*s**5 + 0 + 1/24*s**4. Let c(j) be the first derivative of t(j). Factor c(z).
-(z - 1)*(z + 1)**2
Let m(o) be the third derivative of -o**5/30 + 79*o**4/48 - 19*o**3/4 + 74*o**2. Factor m(j).
-(j - 19)*(4*j - 3)/2
Let y(i) = i**3 - 6*i**2 - 31*i + 190. Let z be y(6). What is q in 0*q + 21/2*q**5 + 0 + 4*q**2 - 18*q**3 + 11*q**z = 0?
-2, 0, 2/7, 2/3
Let c(m) be the second derivative of -3*m**5/40 + 3*m**4/2 + 61*m**3/4 + 36*m**2 + 387*m. Determine b so that c(b) = 0.
-3, -1, 16
Let w(m) = 2*m**5 - 55*m**4 + 240*m**3 + 11*m**2 - 242*m. Let v(o) = o**4 + 3*o**2. Let f(d) = 22*v(d) + 2*w(d). Suppose f(j) = 0. Calculate j.
-1, 0, 1, 11
Let a(n) = 2*n**2 - 10*n - 6. Let p(c) = c**2 - 9*c - 5. Let y(v) = -5*a(v) + 6*p(v). Suppose y(x) = 0. What is x?
-1, 0
Let o = -10902/5 - -2181. Find n such that 0 + 0*n + o*n**4 - 3/5*n**3 + 0*n**2 = 0.
0, 1
Let g(t) = -3*t**3 + 6*t**2 - 9*t - 3. Let d(x) = -x**4 - 2*x**3 + 7*x**2 - 8*x - 2. Let a(u) = -3*d(u) + 2*g(u). Factor a(y).
3*y*(y - 1)**2*(y + 2)
Let -115 + 224 + 88*o**2 - 115 + 32*o = 0. What is o?
-1/2, 3/22
Let u(t) be the first derivative of t**4/18 - 2*t**3/27 - 4*t**2/3 + 39. Factor u(o).
2*o*(o - 4)*(o + 3)/9
Let q(v) be the third derivative of -v**6/280 - 31*v**5/420 + 29*v**4/84 - 4*v**3/7 - 48*v**2 + 7*v. Factor q(z).
-(z - 1)*(z + 12)*(3*z - 2)/7
Let d(s) be the second derivative of s**7/21 - s**6/15 - 2*s**5/5 + 2*s**4/3 + 38*s + 8. Find k, given that d(k) = 0.
-2, 0, 1, 2
Suppose s - 10 = -1. Let d = -5 + s. Determine q, given that 3*q**d - 7 + 5 + 2 = 0.
0
Let s(w) = -w**5 + 6*w**4 - 4*w**3 - 9*w**2 - w. Let k(u) = -3*u**5 + 12*u**4 - 10*u**3 - 19*u**2 - u. Let j(c) = -3*k(c) + 7*s(c). Find d such that j(d) = 0.
-2, -1, 0, 1
Let s(y) be the second derivative of y**7/14 + 17*y**6/5 - 219*y**5/10 + 56*y**4 - 151*y**3/2 + 57*y**2 - 41*y + 5. Find t, given that s(t) = 0.
-38, 1
Let r = -191/64 - -223/64. Factor 0*f**2 + r*f**3 + 1/4*f**4 - 1/2*f - 1/4.
(f - 1)*(f + 1)**3/4
Let u(b) be the first derivative of -b**5/330 + b**4/11 - 12*b**3/11 - 19*b**2/2 - 17. Let p(j) be the second derivative of u(j). Solve p(k) = 0.
6
Let v(d) be the third derivative of 7*d**4/24 + 77*d**3/3 - 113*d**2. Let s be v(-22). Determine k so that 2/3*k**4 + 1/2*k**3 + 0*k + s - 1/6*k**2 = 0.
-1, 0, 1/4
Let u(q) = -7*q**4 + 6*q**3 + 99*q**2 - 86*q. Let p(w) = 6*w**4 - 6*w**3 - 96*w**2 + 87*w. Let b(n) = -4*p(n) - 3*u(n). Factor b(c).
-3*c*(c - 6)*(c - 1)*(c + 5)
Let m(i) be the first derivative of i**6/15 + 4*i**5/5 + 8*i**4/5 - 4*i**3/15 - 17*i**2/5 - 16*i/5 - 113. Factor m(p).
2*(p - 1)*(p + 1)**3*(p + 8)/5
Let 2*d**2 - 686*d - 89 + 908*d - 135 = 0. Calculate d.
-112, 1
Let r(k) be the second derivative of 20*k + 1/6*k**4 - 4*k**2 + 1 - k**3. Factor r(b).
2*(b - 4)*(b + 1)
Let j = -120 - -210. Let r be (-96)/(-10) + 36/j. Factor 4*n + 8 + 2*n**2 - n**2 - r + 5.
(n + 1)*(n + 3)
Determine r so that -16/9 + 2/3*r**2 - 2/9*r**4 + 8/9*r**3 - 20/9*r = 0.
-1, 2, 4
Let n(r) be the third derivative of -1/32*r**6 + 0*r**3 + 1/140*r**7 - 4*r**2 + 0*r + 1/40*r**5 + 0 + 0*r**4. What is j in n(j) = 0?
0, 1/2, 2
Let y = -116 + 17401/150. Let l(o) be the third derivative of -1/75*o**5 + 0 + 0*o**3 + 0*o + 0*o**4 + y*o**6 + 6*o**2. Suppose l(s) = 0. Calculate s.
0, 1
Let o(u) be the second derivative of 0 - 1/98*u**7 + 2/7*u**4 + 0*u**3 + 0*u**2 - 51/140*u**5 + 1/7*u**6 + 15*u. Factor o(w).
-3*w**2*(w - 8)*(w - 1)**2/7
Solve 18*i - 37*i + 2*i**2 - 41*i + 3*i**2 = 0 for i.
0, 12
Factor 0 + 22/5*w**3 + 42/5*w - 62/5*w**2 - 2/5*w**4.
-2*w*(w - 7)*(w - 3)*(w - 1)/5
Let t(i) be the second derivative of i**6/40 - 3*i**5/10 + 11*i**4/16 + 5*i**3/2 - 839*i. Suppose t(m) = 0. Calculate m.
-1, 0, 4, 5
Let r = -2692/9 + 13469/45. Factor -19/10*c + r - 3/2*c**3 + 16/5*c**2.
-(c - 1)**2*(15*c - 2)/10
Let x(j) = j. Let y(s) = -4*s + 14. Let u(r) = -3*x(r) - y(r). Let h be u(14). Factor h*a + 1/4 - 1/4*a**2.
-(a - 1)*(a + 1)/4
Let j = 1709/5154 + 3/1718. Suppose -g + j*g**2 + 0 = 0. Calculate g.
0, 3
Let p(x) be the first derivative of 4*x**3/15 - 824*x**2/5 + 169744*x/5 + 894. Factor p(d).
4*(d - 206)**2/5
Let z(d) be the third derivative of -11*d**5/120 + 43*d**4/96 + d**3/12 - d**2 - 27*d. Suppose z(u) = 0. What is u?
-1/22, 2
Let l(g) be the second derivative of -g**5/100 + 23*g**4/30 - 286*g**3/15 + 484*g**2/5 - 199*g. Factor l(m).
-(m - 22)**2*(m - 2)/5
Let q(u) be the first derivative of u**6/36 - 8*u**5/15 + 8*u**4/3 - 53*u**3/9 + 79*u**2/12 - 11*u/3 - 39. What is o in q(o) = 0?
1, 2, 11
Let r(l) be the first derivative of 3*l**4/2 + 41*l**3/2 - 51*l**2/2 - 33*l/2 - 319. Factor r(c).
3*(c - 1)*(c + 11)*(4*c + 1)/2
Let c = 115669/9 - 12851. Let 2/9*f**2 + 0 + c*f = 0. Calculate f.
-5, 0
Let i(r) = 2*r + 151. Let g be i(-74). Factor -18/11*p + 8/11 - 2/11*p**g + 12/11*p**2.
-2*(p - 4)*(p - 1)**2/11
Let i(p) = 5*p**5 + p**4 - 2*p**3 + 6*p**2 - 11*p - 3. Let y(z) = -z**5 - 2*z**2 + 3*z + 1. Let s(x) = i(x) + 4*y(x). Factor s(h).
(h - 1)**2*(h + 1)**3
Let o(p) be the first derivative of -4*p**6 + 4*p**5/5 + 12*p**4 - 8*p**3/3 - 12*p**2 + 4*p - 129. Suppose o(c) = 0. What is c?
-1, 1/6, 1
Suppose q - 3*q = 12. Let c be (-2)/q + 2/((-2)/(-1)). Find u, given that 2*u + c*u**2 + 2/3 = 0.
-1, -1/2
Let l be (-3)/15 - 46*28/(-40). Let s be l/18 + 2 - 12/(-54). Factor -4/3*n**s + 0 + 2/3*n**3 + 2/3*n**5 + 0*n + 0*n**2.
2*n**3*(n - 1)**2/3
Let q(l) = -2*l**3 - 8*l**2 - 12*l + 16. Let z(o) = -5*o**3 - 17*o**2 - 25*o + 32. Let k = -6