
Solve -11*n**3 - 9*n**3 - 3*n**2 + 8*n**3 = 0.
-1/4, 0
Determine z, given that 18*z**2 + 6*z**4 - 4*z + 14*z**5 - 8*z**4 - 9*z**3 - z**3 - 16*z**4 = 0.
-1, 0, 2/7, 1
Let n be ((-7)/(-84))/((-5)/(-8)). Let v(g) be the first derivative of 0*g + 2/3*g**2 + 0*g**4 + 2/3*g**3 - n*g**5 - 2. Factor v(w).
-2*w*(w - 2)*(w + 1)**2/3
Find m such that 4*m**3 - 2*m**3 + 3*m**4 + 4*m**3 - 3*m - 3*m**2 - 3*m**3 = 0.
-1, 0, 1
Let s = -2/143 + 328/3003. Let f(q) be the first derivative of 2 + 1/14*q**4 + 0*q**2 + 0*q + s*q**3. Let f(t) = 0. What is t?
-1, 0
Let d(l) be the third derivative of l**7/1260 - l**6/240 + l**5/180 - 5*l**2. Suppose d(m) = 0. Calculate m.
0, 1, 2
Let x be ((4 - 0) + -5)/(-3). Factor -x*r**2 + 1/3*r - 1/3*r**3 + 1/3.
-(r - 1)*(r + 1)**2/3
Let d(y) be the first derivative of -27*y**5/25 + 3*y**4 - 13*y**3/5 + 3*y**2/5 + 1. Factor d(v).
-3*v*(v - 1)**2*(9*v - 2)/5
Suppose 16/3*r**2 + 14/3*r + 2/3*r**3 + 0 = 0. Calculate r.
-7, -1, 0
Let b be 2 - 2 - (-4)/(-54)*-6. Factor b*m - 2/9 + 14/9*m**2 + 8/9*m**3.
2*(m + 1)**2*(4*m - 1)/9
Let r be ((-2)/(-6))/(2/12). Find b such that 4*b**2 - 3*b**r + 2*b**2 = 0.
0
Let h(f) be the first derivative of -2*f**5/45 + f**4/6 - 4*f**3/27 - 5. Suppose h(r) = 0. What is r?
0, 1, 2
Suppose -18*r - 34 + 106 = 0. Factor 1/2*l**r - 3/2*l**2 + 0*l**3 + 0 + l.
l*(l - 1)**2*(l + 2)/2
Suppose 2*y + y - 2*n = 8, 5*y - 30 = -5*n. Let k be ((-2)/(-4))/(y/16). Determine d, given that 2/7*d**k + 2/7*d**4 + 0 + 0*d - 4/7*d**3 = 0.
0, 1
Let k(c) be the second derivative of c**7/126 + c**6/30 + c**5/20 + c**4/36 + 6*c. Factor k(f).
f**2*(f + 1)**3/3
Let t(y) = -y - 8. Let c be t(-7). Let g(f) = 9*f**3 + 15*f**2 + 30*f + 18. Let q(i) = -i**3 - i - 1. Let r(m) = c*g(m) - 6*q(m). Factor r(s).
-3*(s + 1)*(s + 2)**2
Suppose -n - 4 = 2*f, -4*f = -2*f + 8. Let u(v) be the second derivative of 0*v**3 + 0*v**2 - 3*v + 1/30*v**6 + 1/20*v**5 + 0 - 1/6*v**n. What is q in u(q) = 0?
-2, 0, 1
Let r be (-1)/2*(13 + -93). Let q be (16 - 1)*12/r. Factor -q*f**3 - 1/2*f + 0 + 2*f**4 + 3*f**2.
f*(f - 1)**2*(4*f - 1)/2
Determine f, given that -5*f + 2*f + 2*f**2 + f = 0.
0, 1
Let h(b) be the third derivative of -b**6/32 - 2*b**5/15 - b**4/24 + 2*b**2 - 10*b. Let h(f) = 0. What is f?
-2, -2/15, 0
Let t(a) = -4*a - 1. Let g be t(-2). Suppose 4*h - g*h = -9. Let 34/7*x + 86/7*x**2 + 4/7 + 8*x**h = 0. Calculate x.
-1, -2/7, -1/4
Let h(s) be the third derivative of s**6/660 + s**5/110 - 3*s**4/44 + 5*s**3/33 + 17*s**2. Factor h(d).
2*(d - 1)**2*(d + 5)/11
Let x be 8/6*(-3)/(-2). Find p such that 2*p**2 - p + p**2 + 5*p - 5*p**x = 0.
0, 2
Suppose 0 = 9*h - 13*h. Let p(m) be the third derivative of -1/48*m**4 + h*m**5 + 0 + 1/240*m**6 + 0*m**3 + m**2 + 0*m. Factor p(s).
s*(s - 1)*(s + 1)/2
Let k(y) be the third derivative of y**8/336 - y**7/30 + 7*y**6/60 - y**5/30 - 5*y**4/8 + 3*y**3/2 + 6*y**2. Let k(x) = 0. What is x?
-1, 1, 3
Factor 54/11 - 54/11*c - 2/11*c**3 + 18/11*c**2.
-2*(c - 3)**3/11
Let g(k) be the third derivative of k**8/112 - 3*k**7/70 + 3*k**6/40 - k**5/20 + 15*k**2. Factor g(t).
3*t**2*(t - 1)**3
Suppose 0 = 2*r - 23 - 5. Let v be 11/r + 16/(-56). Let 0 + v*y**3 + 1/2*y - y**2 = 0. Calculate y.
0, 1
Suppose 0*i + 0*i**3 - 3/7*i**4 + 0 + 3/7*i**2 = 0. Calculate i.
-1, 0, 1
Suppose -3*k = -2*k. Let a(x) = -x**3 + x**2 - x + 3. Let p be a(k). Suppose 3*d - d - 2*d**p + 0*d = 0. Calculate d.
-1, 0, 1
Let w be 105/189 - (-2)/(-9). Let q(v) be the first derivative of -1/2*v**2 + 1 + w*v**3 + 0*v. Solve q(i) = 0 for i.
0, 1
Let c(s) be the third derivative of s**5/30 - 5*s**4/12 - 2*s**3 - 18*s**2. Suppose c(z) = 0. Calculate z.
-1, 6
Let w(n) be the first derivative of -n**5/40 + 3*n**4/32 - n**2/4 - 10. Suppose w(i) = 0. What is i?
-1, 0, 2
Let u(t) be the first derivative of t**4 + 8*t**3/3 - 8*t**2 - 32*t - 3. Factor u(o).
4*(o - 2)*(o + 2)**2
Factor -7*q**3 - 48*q - 64 + 2*q**3 - 12*q**2 + 4*q**3.
-(q + 4)**3
Let s(c) be the second derivative of c**5/5 + 2*c**4/3 - 14*c**3/3 + 8*c**2 + c. Factor s(d).
4*(d - 1)**2*(d + 4)
Let g(j) be the first derivative of -4*j**3/15 - 4*j**2/5 - 1. Factor g(x).
-4*x*(x + 2)/5
Let q(x) be the second derivative of 0*x**2 + 6*x + 1/12*x**4 - 1/12*x**3 + 0 - 1/40*x**5. Factor q(g).
-g*(g - 1)**2/2
Let c(u) be the second derivative of -u**7/1260 - u**6/270 - u**5/180 + 2*u**3/3 - u. Let x(b) be the second derivative of c(b). Let x(d) = 0. Calculate d.
-1, 0
Let l(h) = 4*h - 7. Let y(p) = p**2 + 2. Let u(o) = 2*l(o) + 2*y(o). Let u(v) = 0. Calculate v.
-5, 1
Let u(p) be the first derivative of p**6/60 + p**5/10 + 5*p**4/24 + p**3/6 - 2*p + 9. Let x(l) be the first derivative of u(l). Find r, given that x(r) = 0.
-2, -1, 0
Let a(c) = -2*c. Let w be a(4). Let b = w - -9. What is g in b + 1/2*g - 1/2*g**2 = 0?
-1, 2
Factor 0 + 2/3*y**3 + 6*y - 4*y**2.
2*y*(y - 3)**2/3
Suppose -n + 0 = -4. Factor -18*m**n + 12*m + 6*m - 10*m**3 + 3*m**4 + 34*m**3 + 57*m**2.
-3*m*(m - 3)*(m + 1)*(5*m + 2)
Let y be ((-88)/(-96))/11*4. Factor 1/6*c**3 + 0 + y*c**2 + 0*c.
c**2*(c + 2)/6
Let v be 1 + 13 - (-3 + 6). Suppose 0 = -5*y + v + 4. Factor -3*z**4 + 2*z + 4*z**4 - 2*z**3 - y*z**4 + 2*z**2.
-2*z*(z - 1)*(z + 1)**2
Let t(c) be the second derivative of c**7/126 + c**6/90 - c**5/10 + c**4/18 + 5*c**3/18 - c**2/2 + 3*c. Factor t(y).
(y - 1)**3*(y + 1)*(y + 3)/3
Let s = -20/47 - -382/235. Let o(m) = -m**2 - 4*m - 1. Let y be o(-3). Factor -s*c - 2/5 - 6/5*c**y - 2/5*c**3.
-2*(c + 1)**3/5
Let o = -113/3 + 38. Factor -2/3*y**2 + o*y - y**3 + 0.
-y*(y + 1)*(3*y - 1)/3
Let u(r) = r**3 + 5*r**2 + 4*r. Let t be u(-4). Suppose 0*k + 3/2*k**2 + t = 0. Calculate k.
0
Suppose -5*i = -3*i. What is v in v**3 - v + v**2 + 1 + 0*v**3 - 2 + i*v**3 = 0?
-1, 1
Let r(c) = -c + 11. Let v be r(7). Let j(s) be the second derivative of s - 1/12*s**v - 1/12*s**3 + 0 + 1/30*s**6 + 1/40*s**5 + 0*s**2. Solve j(z) = 0 for z.
-1, -1/2, 0, 1
Let o(i) = -i**2 + 11*i + 17. Let v be o(12). Suppose -r + v*r = 8. Factor -4/7*w**3 + 0 - 2/7*w**r + 2/7*w.
-2*w*(w + 1)*(2*w - 1)/7
Let i be 86/153 - 30/255. Factor -2/9*v**2 - 2/9 + i*v.
-2*(v - 1)**2/9
Suppose -16/3*f + 10/3*f**2 + 2 = 0. What is f?
3/5, 1
Let v = -411 + 1234/3. Factor 8/3 - v*n**3 - 2/3*n**2 + 4/3*n.
-(n - 2)*(n + 2)**2/3
Let -3/5*d**3 + 6/5 + 12/5*d**2 - 3*d = 0. Calculate d.
1, 2
Let 8/15*c + 2/15 + 2/15*c**2 - 4/5*c**3 = 0. Calculate c.
-1/2, -1/3, 1
Let p(t) = -t**3 + 3*t**2 + 3*t + 6. Let w be p(4). Find c such that 7/2*c - 9/2*c**w - 1/2*c**4 + 5/2*c**3 - 1 = 0.
1, 2
Let t = -14 - -29. Suppose 2 - t*y**3 - 24*y**2 + 3 - 4*y + 1 + y = 0. What is y?
-1, 2/5
Let b(u) = 9*u**2 - 10*u - 15. Let a(t) = -t**2. Let i(j) = 4*a(j) + b(j). Solve i(x) = 0 for x.
-1, 3
Suppose 3*x - 25 = -7. Factor -x*h**2 + 4*h - 4*h - 2*h**3 + 8 + 4*h**3.
2*(h - 2)**2*(h + 1)
Let i(z) be the first derivative of z**4/24 + z**3/9 - z**2/4 - 8. Factor i(u).
u*(u - 1)*(u + 3)/6
Let x(f) be the second derivative of f**5/20 + 5*f**4/12 + 4*f**3/3 + 2*f**2 - 8*f. Factor x(r).
(r + 1)*(r + 2)**2
Let d(h) = -3*h**2 + 3*h + 4. Let j be d(-4). Let t be 68/j - (-3)/2. Factor 0 + 0*b**2 + 0*b**3 + 0*b - t*b**4.
-2*b**4/7
Let v(i) be the second derivative of i**5/110 - i**4/11 + 4*i**3/11 - 8*i**2/11 + 3*i. Solve v(j) = 0 for j.
2
Let m be (-1)/(6/12)*10/(-4). Solve 2/3*r**4 - 1/3*r**3 + 0 + 0*r + 0*r**2 - 1/3*r**m = 0.
0, 1
Let s(q) be the second derivative of q**7/42 - q**6/30 - 3*q**5/10 - q**4/6 + 5*q**3/6 + 3*q**2/2 + 8*q. Determine y so that s(y) = 0.
-1, 1, 3
Let d be (-9 + 0 + 9)/2. Factor 0 + d*y + 1/5*y**3 - 3/5*y**2.
y**2*(y - 3)/5
Suppose -3*x + 4 = -2*x. Factor 2*b**x - 9 - 5*b**5 + 9.
-b**4*(5*b - 2)
Let s(n) be the first derivative of -n**5/5 - 6*n**4 - 64*n**3 - 256*n**2 + 14. Find x, given that s(x) = 0.
-8, 0
Let m be -1*(3 + -3)*(-5)/10. Solve -4/7 + m*o + 1/7*o**2 = 0 for o.
-2, 2
Let n(t) = 4*t + 1. Let f be n(3). Factor 6*r**5 + f*r**2 - 3*r**5 - 6*r - 9*r**4 - 4*r**2 + 3*r**3.
3*r*(r - 2)*(r - 1)**2*(r + 1)
Factor 0 + 2/7*g**2 - 12/7*g**3 + 12/7*g - 2/7*g**4.
-2*g*(g - 1)*(g + 1)*(g + 6)/7
Suppose 4*v + 4*l - 1 = 11, -5*v - 2*l + 12 = 0. Let r(n) be the first derivative of 1/2*n**4 - v + 0*n + 2*n**3 + 2*n**2. Factor r(f).
2*f*(f + 1)*(f + 2)
Factor -10/3*b + 1/6*b**2 + 50/3.
(b - 10)**2/6
Let d(y) = -y*