+ 5/36*o**4 - 1/2*o**2 - 1/36*o**3 + 0. Solve j(z) = 0 for z.
-2/3, 1, 3
Let n(z) = z**3 + 21*z**2 + 22*z + 43. Let f be n(-20). Factor 4*a**5 - 32*a - 12*a**4 - 16*a + 50*a**2 - 10 - 6*a**2 - 4*a**f + 26.
4*(a - 2)*(a - 1)**3*(a + 2)
Let k(n) be the first derivative of -3*n**6/10 + 42*n**5/25 - 7*n**4/2 + 52*n**3/15 - 17*n**2/10 + 2*n/5 + 589. Solve k(i) = 0 for i.
1/3, 1, 2
Let b be (1/3*(-153 + 151))/((-4)/18). Factor b*r + 1/2*r**2 + 9/2.
(r + 3)**2/2
Let r(j) be the third derivative of 23*j**5/100 - j**4/20 + j**2 + 36*j. Determine i so that r(i) = 0.
0, 2/23
Let o(l) = -l**2 + 35*l - 250. Let x be o(25). Determine m, given that 1/3*m - 1/3*m**2 + x = 0.
0, 1
Let v(z) be the first derivative of z**3/6 + 3*z**2 - 13*z/2 - 217. Factor v(i).
(i - 1)*(i + 13)/2
Let y = 2100/1241 + -72/73. Determine u so that y*u + 2/17*u**2 + 18/17 = 0.
-3
Let p(s) be the second derivative of s**6/105 - 23*s**5/70 + 20*s**4/7 + 48*s**3/7 - 126*s. Factor p(g).
2*g*(g - 12)**2*(g + 1)/7
Let g(m) = 24*m**4 + 390*m**3 + 1780*m**2 + 2767*m + 1367. Let q(h) = 11*h**4 + 195*h**3 + 890*h**2 + 1383*h + 683. Let l(i) = -3*g(i) + 7*q(i). Factor l(v).
5*(v + 1)*(v + 2)**2*(v + 34)
Let b(x) = -x**4 + 5*x**3 + 5*x**2 - x - 2. Let q(v) = 15*v + 36*v**3 - 13*v - 15 - 6*v**4 - 8*v + 36*v**2. Let j(l) = 15*b(l) - 2*q(l). Solve j(m) = 0 for m.
-1, 0, 1
Solve 124*u - 36*u**3 - 189*u**3 + 10*u**2 - 8*u**2 - 77*u**2 + 2*u - 24 = 0.
-1, 4/15, 2/5
Let z(s) be the third derivative of 0 + 1/100*s**6 + 1/5*s**3 + 29/150*s**5 - 5*s**2 + 0*s + 11/36*s**4. Factor z(v).
2*(v + 9)*(3*v + 1)**2/15
Let l(y) be the third derivative of y**7/315 - 11*y**6/90 + 121*y**5/90 + 269*y**2. Factor l(z).
2*z**2*(z - 11)**2/3
Suppose -4*b - 5 - 11 = 0. Let j be -7*-1*b/(-14). Find a, given that -2 + 13*a**j + 5*a + 0*a**2 - 2*a**2 + 4*a**3 = 0.
-2, -1, 1/4
Let g = -191 - -193. Let q(m) be the first derivative of 0*m + 2 - 1/6*m**g + 1/12*m**4 + 0*m**3. Factor q(x).
x*(x - 1)*(x + 1)/3
Let u(v) = -25*v - 723. Let r be u(-29). Factor -3/8*l**3 + 0 - 9/8*l**r - 3/4*l.
-3*l*(l + 1)*(l + 2)/8
Let p(w) = -21 + 8 + 7 + 7. Let x(a) = 4*a**2 - 4*a + 8. Let m(r) = 8*p(r) - x(r). Factor m(l).
-4*l*(l - 1)
Factor -2*t**3 + 9/2*t - 11/4*t**2 + 1/4*t**4 + 0.
t*(t - 9)*(t - 1)*(t + 2)/4
Let k(u) be the third derivative of 1/12*u**5 + 0 + 4*u**2 + 5/6*u**4 - 10*u**3 - 11*u. What is o in k(o) = 0?
-6, 2
Let r(q) = -48*q**2 + 344*q + 89. Let c(t) = -49*t**2 + 342*t + 92. Let n(w) = 3*c(w) - 4*r(w). Suppose n(h) = 0. What is h?
-2/9, 8
Let t(m) = -m**3 + 7*m**2 - 4*m - 10. Let z be t(6). Let u be (-4)/(-12)*3/z. What is d in 7/4*d**2 + u - 1/2*d**3 - 7/4*d = 0?
1/2, 1, 2
Suppose -5*w + 25 = -0*w, -5*j = w - 5. Let o(b) be the second derivative of -5*b + 0*b**3 + j - 1/2*b**2 + 1/48*b**4. Determine d, given that o(d) = 0.
-2, 2
What is a in -3*a + 4 - a**2 - 65*a**3 + 7*a + 64*a**3 = 0?
-2, -1, 2
Let x be 7/3 + 8/12. Let a be x + 2 + (-1 - 1). Find k such that 46*k**3 - 4 + 2 - 20*k**a - 30*k**2 - 8*k**4 + 14*k = 0.
1/4, 1
Let n(g) be the first derivative of 0*g**2 + 1/6*g**4 + 5 + 1/3*g**3 - 2*g. Let s(y) be the first derivative of n(y). Solve s(r) = 0 for r.
-1, 0
Let p(n) be the second derivative of 0*n**2 - 1/70*n**7 - 3/25*n**5 + 0 + 17*n - 1/30*n**3 - 1/15*n**6 - 1/10*n**4. Find t, given that p(t) = 0.
-1, -1/3, 0
Let c = -2501 - -30013/12. Let k(v) be the third derivative of 5/48*v**4 - c*v**3 - 1/30*v**5 - 7*v**2 + 0 + 0*v. Suppose k(d) = 0. What is d?
1/4, 1
Suppose -o - 21 = -6. Let b be (6/(-15))/(3/o). Let 3*d**2 - 3*d**2 - d**2 - d - 2 - b*d = 0. What is d?
-2, -1
Factor -18/7*b**4 + 24/7 - 6/7*b**2 + 3/7*b**5 - 36/7*b + 33/7*b**3.
3*(b - 2)**3*(b - 1)*(b + 1)/7
Let q(y) be the second derivative of -31*y + 0*y**2 + 0 + 9/20*y**5 + 1/2*y**4 + 1/10*y**6 + 0*y**3. Factor q(z).
3*z**2*(z + 1)*(z + 2)
Let f = 139 + -135. Let z(j) = -j**2 - 4*j + 7. Let o be z(-5). Solve -o*l - 4*l**2 + 1 + 7*l - l + 3 - f*l**3 = 0.
-1, 1
Suppose -9 = 5*u + 3*b, -2*b + 20 = 5*u + 26. What is v in 1/3*v**4 + 5/3*v**3 + u + 8/3*v**2 + 4/3*v = 0?
-2, -1, 0
Suppose 6*n - 9 - 3 = 0. Suppose 2*u**n - 3 + 0 - 3 - 4*u = 0. What is u?
-1, 3
Let r(t) be the third derivative of -5*t**8/16 + 29*t**7/105 + 11*t**6/24 - t**5/15 - t**4/6 + 63*t**2 - t. Suppose r(n) = 0. Calculate n.
-2/5, -1/3, 0, 2/7, 1
Suppose -i - 4 = 2*f, -3*i = f - 4*f + 48. Let w be 2/1 + (65 - i). Factor -4*o**2 - o**2 - 99*o + w*o.
-5*o*(o + 4)
Let s(t) be the first derivative of -1/30*t**5 + 7/18*t**3 + 13/12*t**2 - 1/24*t**4 + t + 1. Factor s(h).
-(h - 3)*(h + 1)**2*(h + 2)/6
Factor 6 - 1/3*b**3 + 25/3*b + 2*b**2.
-(b - 9)*(b + 1)*(b + 2)/3
Let y(c) be the second derivative of -c**8/1008 + c**7/210 - c**5/45 - 11*c**2/2 + 6*c. Let m(z) be the first derivative of y(z). Let m(g) = 0. What is g?
-1, 0, 2
Let y be (19/(-152))/(88/(-64)). Factor -y*s + 2/11 - 1/11*s**2.
-(s - 1)*(s + 2)/11
Factor -80*d - 12 + 54 - 2*d**2 - 3*d.
-(d + 42)*(2*d - 1)
Let b(w) be the third derivative of w**5/300 + w**4/120 + 2*w**2 + 17. Factor b(v).
v*(v + 1)/5
Suppose -387 + 7*a**4 + 333 - 93*a**3 - 191*a + 284*a**3 + 47*a**2 = 0. Calculate a.
-27, -1, -2/7, 1
Suppose 5*u - 9*u - 324 = 4*x, 2*u + 157 = -3*x. Let k = u - -88. Factor 0*v + 2/11*v**5 + 6/11*v**4 + 0*v**3 - 8/11*v**k + 0.
2*v**2*(v - 1)*(v + 2)**2/11
Let c(b) = 32*b**3 + 56*b**2 - 4*b - 16. Let w(n) = 31*n**3 + 57*n**2 - 4*n - 15. Let z(i) = 5*c(i) - 4*w(i). Suppose z(p) = 0. Calculate p.
-1, 5/9
Let g(p) = p**2 + 7*p + 2. Let q be g(-7). Find r, given that -60 - 2*r - 30*r - 55*r**q - 13*r + 70 = 0.
-1, 2/11
Let s(l) = 5*l**2 - 9*l - 72. Let h be s(-3). Factor 0 + 3/8*u**4 + 0*u + 1/8*u**5 + 0*u**3 + h*u**2.
u**4*(u + 3)/8
Suppose 27 = -3*j + 5*j + 3*g, -4*g + 28 = 0. Solve -1/3*y + 0 + 1/3*y**4 - 1/3*y**2 + 1/3*y**j = 0.
-1, 0, 1
Let s be ((-40)/24)/(1/(-9)). Suppose -2*u + s = 3*u. Determine v so that 21*v - u*v**3 + 22*v - 40*v = 0.
-1, 0, 1
Let g(t) be the second derivative of -t**6/6 + 5*t**5/2 - 35*t**4/12 - 15*t**3 - 12*t. Suppose g(y) = 0. Calculate y.
-1, 0, 2, 9
Suppose 187 - 98 = -40*j + 89. Solve -8/9*c - 2/9*c**2 + j + 1/9*c**3 = 0 for c.
-2, 0, 4
Let b(i) = i**3 - 2*i**2. Let j be (-6)/(-18)*12/2. Let u be b(j). Factor u*n**3 + 4*n**5 + 0*n**5 + 5*n**4 + n**3.
n**3*(n + 1)*(4*n + 1)
Let c(j) be the third derivative of -1/135*j**6 + 0*j + 0 + 13*j**2 + 1/45*j**5 - 1/27*j**4 + 1/945*j**7 + 1/27*j**3. Solve c(z) = 0 for z.
1
Suppose -3*c = -3*s - 9, -5*c = -7*c - s + 6. Factor -2 + 269*z**3 - c*z**2 - 2*z + 7*z - 268*z**3 - z**2.
(z - 2)*(z - 1)**2
Let p(v) be the first derivative of v**5/480 - v**4/192 - 15*v**2/2 - 8. Let t(a) be the second derivative of p(a). Factor t(r).
r*(r - 1)/8
Let t(k) be the second derivative of -2*k**6/15 + k**5 - k**4 - 10*k**3/3 + 8*k**2 - k + 6. Factor t(j).
-4*(j - 4)*(j - 1)**2*(j + 1)
Suppose -11*b - 33*b + 140 = -16*b. Determine j so that 0*j + 0 + 0*j**2 - 2/7*j**4 + 2/7*j**b + 0*j**3 = 0.
0, 1
Suppose -g = -7*j - 12 - 24, 2 = -3*g - j. Factor -g - 1/4*d**2 - d.
-(d + 2)**2/4
Let t(v) be the first derivative of -5/12*v**4 + 0*v**2 - 1/30*v**6 + 3 + 1/3*v**3 + 1/5*v**5 - v. Let c(k) be the first derivative of t(k). Factor c(z).
-z*(z - 2)*(z - 1)**2
Let x = 1769 - 15920/9. Factor x*t**2 + 0 + 0*t - 1/9*t**4 + 0*t**3.
-t**2*(t - 1)*(t + 1)/9
Let v(z) = 2*z - 29. Let k be v(16). Factor -2*c + 5*c - c**3 + 3*c**4 - k*c**2 - 2*c**3.
3*c*(c - 1)**2*(c + 1)
Let z be (-54)/10 - (-3)/(-15). Let y = z + 117/20. Factor -1/2 + y*c + 1/4*c**2.
(c - 1)*(c + 2)/4
Let f(d) = d**3 - 3*d**2 + 2. Let n be f(3). Factor 10 - 4 - n*l**2 + 5 + 1 + 2*l.
-2*(l - 3)*(l + 2)
Let q(d) be the first derivative of -d**6/39 - 12*d**5/13 - 60*d**4/13 + 3040*d**3/39 - 3600*d**2/13 + 5184*d/13 + 3. Factor q(h).
-2*(h - 2)**3*(h + 18)**2/13
Let b(o) be the second derivative of -o**4/12 - 4*o**3/3 - 13*o**2/2 + 25*o + 3. Let a be b(-4). Suppose 0 - 3*w**3 + a*w**2 + 3/4*w**4 + 0*w = 0. What is w?
0, 2
Suppose -13*g - 30 = -12*g. Let i be 5/g + 2/3. Suppose 1/2*t**4 + i*t**3 + 0*t + 0 - t**2 = 0. What is t?
-2, 0, 1
Let l be (-2 - -3)/((-38)/(-114)). Factor 2/13*j**5 + 320/13*j**l - 1280/13*j**2 - 40/13*j**4 + 2560/13*j - 2048/13.
2*(j - 4)**5/13
Let k(v) = -17*v + 1. Let w be k(1). Let p(s) = -s - 13. Let z be p(w).