0, 0 = 3*d - 4*u - 22. Factor -2/5*s**d - 8/5*s - l.
-2*(s + 2)**2/5
Let -4*b**2 + 3 + 6*b + 0*b + 2*b - 7 = 0. What is b?
1
Let v be 1*((6 - -2) + 2). Let p be (-2)/4*0/v. Let 0*j**4 + 0*j + 0*j**3 + 0 + 2/5*j**5 + p*j**2 = 0. Calculate j.
0
What is s in -6 - 6*s**4 - 6*s + 3*s + 6*s**3 + 3*s**2 - 99*s**5 + 96*s**5 + 9*s**2 = 0?
-2, -1, 1
Let c(u) be the second derivative of u**5/4 - 5*u**4/6 + 5*u**3/6 + 5*u. Factor c(l).
5*l*(l - 1)**2
Suppose 0 = -4*s + m + 14, 8 = 2*s + s - 2*m. Let b(p) be the first derivative of -4 - 2*p**3 + 3*p + 0*p**2 + 3/5*p**5 + 0*p**s. Determine a so that b(a) = 0.
-1, 1
Let v be ((-3)/(-18))/((-7)/(-28)). Factor -v*h + 0 - 2/3*h**2.
-2*h*(h + 1)/3
Suppose 5*y = 2*y. Let g(f) = f + 5. Let p be g(y). Suppose -9*n**5 - n**3 + 6*n**4 + 12*n**5 + 7*n**p - 3*n**3 = 0. What is n?
-1, 0, 2/5
Let k(n) be the first derivative of -n**6/18 - n**5/15 + n**4/6 + 2*n**3/9 - n**2/6 - n/3 + 71. Suppose k(q) = 0. Calculate q.
-1, 1
Let m = 10 - 6. Determine b, given that -m*b - 1 + b**2 + 0*b**2 + 4*b = 0.
-1, 1
Let a be (-2)/(-2)*1*-7. Let q = a - -11. Factor -38*v**3 + 11*v**q - 3*v**4 - 5*v**5 + 32*v**2 + 1 - 13*v + 1 + 14*v**4.
-(v - 1)**4*(5*v - 2)
Let u(k) be the first derivative of k + 4 - 1/3*k**3 + 0*k**2. Factor u(d).
-(d - 1)*(d + 1)
Let g(q) be the third derivative of q**6/160 + 3*q**5/80 + 3*q**4/32 + q**3/8 + 5*q**2. Determine z, given that g(z) = 0.
-1
Let n(r) be the first derivative of r**6/360 + r**5/60 - 5*r**3/3 - 1. Let l(o) be the third derivative of n(o). Find f such that l(f) = 0.
-2, 0
Factor 16/3*q**2 - 16/3*q + 4/3.
4*(2*q - 1)**2/3
Factor -1/2 + 1/4*k**3 + 1/4*k**4 - 3/4*k**2 - 5/4*k.
(k - 2)*(k + 1)**3/4
Let l(a) be the first derivative of a**8/42 + 2*a**7/35 + a**6/240 - a**5/20 + a**4/48 + 3*a**2/2 - 4. Let h(t) be the second derivative of l(t). Factor h(x).
x*(x + 1)**2*(4*x - 1)**2/2
Let n(a) be the second derivative of -1/165*a**6 + 1/66*a**4 + 0*a**3 + 0*a**2 + 0 + 1/110*a**5 - 1/231*a**7 + 8*a. Suppose n(z) = 0. What is z?
-1, 0, 1
Suppose -8 + o**3 - 257*o**4 - 42*o**2 + 271*o**4 - 40*o + 3*o**3 = 0. Calculate o.
-1, -2/7, 2
Let f be (15 - 13) + 0/(-2). Factor -3 - 3*m**f + 3*m**2 - m**4 - 2*m**3 + 2*m + 4*m**2.
-(m - 1)**2*(m + 1)*(m + 3)
Let j = 2 - -3. Let c be -4 - (-5)/(j/4). Factor 0*y + 0*y**4 + c - 1/4*y**3 + 0*y**2 + 1/4*y**5.
y**3*(y - 1)*(y + 1)/4
Let z(h) be the second derivative of h**7/1890 + h**6/2160 - h**4/4 - 6*h. Let b(d) be the third derivative of z(d). Factor b(v).
v*(4*v + 1)/3
Let z be (6/8)/(5/20). Let x(o) be the second derivative of z*o + 0 + 0*o**4 - 1/15*o**6 - 1/42*o**7 + 0*o**2 - 1/20*o**5 + 0*o**3. Factor x(d).
-d**3*(d + 1)**2
Suppose 9 = -f - 2*f + b, 2*f + 1 = -b. Let q = f + 5. Solve p + 4*p**2 - q*p - 3*p**2 + 4*p = 0.
-2, 0
Suppose v - 6 = -v. Let q(b) be the second derivative of 1/10*b**5 + 0 + 0*b**2 + 0*b**v + 1/6*b**4 + 2*b. Determine r, given that q(r) = 0.
-1, 0
Let f(m) be the third derivative of m**6/60 - m**5/15 + m**4/12 + 11*m**2. Factor f(u).
2*u*(u - 1)**2
Determine o, given that 0*o + 3/7*o**2 + 0 = 0.
0
Let a(f) be the first derivative of -f**4/22 + 2*f**3/11 - 2*f**2/11 - 9. Suppose a(c) = 0. What is c?
0, 1, 2
Suppose -380*r = -375*r - 10. Factor -2/7*g**r + 2/7*g + 0.
-2*g*(g - 1)/7
Let r(z) = 3*z**5 + 4*z**4 - 2*z**3 + z - 2. Let p(b) = 4*b**5 + 5*b**4 - 3*b**3 + b**2 + 2*b - 3. Let g(y) = 2*p(y) - 3*r(y). Solve g(w) = 0.
-1, 0, 1
Let z(g) be the third derivative of g**7/490 + g**6/35 + 11*g**5/70 + 3*g**4/7 + 9*g**3/14 + 2*g**2. Factor z(a).
3*(a + 1)**2*(a + 3)**2/7
Let y(b) be the second derivative of -b**5/10 - b**4/3 + b**3/3 + 2*b**2 + 14*b. Factor y(a).
-2*(a - 1)*(a + 1)*(a + 2)
Suppose -9*m + 175 = -14*m. Let p be (-2)/1 - 80/m. Determine q, given that 2/7*q**3 - 2/7*q + 2/7 - p*q**2 = 0.
-1, 1
Suppose 3*f - 2 - 7 = 0. Suppose 11 = 2*s + f. Let -486*o**3 - 77*o**2 - 162*o**3 - 211*o**2 - 48*o - 792*o**4 + 144*o**s - 243*o**5 = 0. What is o?
-2/3, 0
Let n(u) = 16*u**2 + 64*u - 12. Let x(c) = -c**2 - 2*c - 1. Let r(v) = -n(v) - 20*x(v). Suppose r(l) = 0. What is l?
2, 4
Let w = 4/7 - 6/35. Factor -1/5*g + 1/5*g**3 - 2/5 + w*g**2.
(g - 1)*(g + 1)*(g + 2)/5
Let h(j) be the second derivative of -j**7/17640 + j**5/840 - j**4/12 - 2*j. Let p(y) be the third derivative of h(y). Factor p(g).
-(g - 1)*(g + 1)/7
Let q(j) be the second derivative of -j**7/189 + j**6/135 + j**5/30 - 5*j**4/54 + 2*j**3/27 + 13*j. Find g, given that q(g) = 0.
-2, 0, 1
Let h = 116/171 - 2/171. Solve -2/3*t**5 + 0*t**3 + h*t - 4/3*t**2 + 4/3*t**4 + 0 = 0.
-1, 0, 1
Let n(s) be the third derivative of 4*s**2 + 1/112*s**8 - 1/20*s**6 + 0*s**5 + 0*s**7 + 0 + 0*s + 1/8*s**4 + 0*s**3. Find h, given that n(h) = 0.
-1, 0, 1
Suppose 0*z + 2*z + 5*s = -2, 0 = z - 2*s - 8. Let l(m) be the third derivative of 1/90*m**5 - 2*m**2 + 0*m + 0 - 1/9*m**3 + 0*m**z. Factor l(o).
2*(o - 1)*(o + 1)/3
Let h(g) be the first derivative of -g**6/5 - g**5/10 + 3*g**4/2 + 3*g**3 + 2*g**2 - g - 2. Let z(x) be the first derivative of h(x). What is n in z(n) = 0?
-1, -1/3, 2
Let h(p) be the third derivative of 0*p + p**2 + 0*p**3 + 0*p**4 + 0 + 1/30*p**6 - 1/56*p**8 - 1/105*p**7 + 0*p**5. Factor h(x).
-2*x**3*(x + 1)*(3*x - 2)
Let j(m) = 3*m**2 + 3*m. Let r(o) = 10*o**2 + 10*o. Let p(s) = 14*j(s) - 4*r(s). Factor p(i).
2*i*(i + 1)
Let t(a) = -a**2 - a - 1. Let b(w) = 3*w**2 + 2. Let y(g) = 2*b(g) + 4*t(g). Factor y(i).
2*i*(i - 2)
Suppose 4*y = -15 + 23. Let b(l) = l**3 - 4*l**2 + l - 2. Let f be b(4). What is v in 2 + 9 + y + 12*v - 10 - 12*v**3 - 3*v**f = 0?
-1, -1/4, 1
Let k be (-4)/6 - 33/(-9). Let l(a) = 2*a + 1. Let c be l(k). Solve r**2 + c*r - 1 - 7*r = 0 for r.
-1, 1
Factor 2*v**2 + 224*v**3 - 225*v**3 + 4*v**2 - 3*v**2.
-v**2*(v - 3)
Suppose h**3 + 533*h + 3*h**2 + 527*h - 1064*h = 0. What is h?
-4, 0, 1
Suppose q - 6*q = -5. Let -2 - 2*b + 3 + 2*b**3 - q = 0. Calculate b.
-1, 0, 1
Let c(j) be the second derivative of 1/6*j**2 + 1/18*j**3 - 1/60*j**5 - 1/36*j**4 - 4*j + 0. Factor c(y).
-(y - 1)*(y + 1)**2/3
Let r = 229/180 + -21/20. Factor -r + 4/9*s**2 + 2/9*s.
2*(s + 1)*(2*s - 1)/9
Find s, given that 0 + 1/2*s**2 + 1/2*s = 0.
-1, 0
Factor -t**4 - 2*t**3 + t**3 - 8*t**2 + t**5 + 7*t**2 + 2*t**4.
t**2*(t - 1)*(t + 1)**2
Let o(x) be the first derivative of 3*x**5/5 - 2*x**3 + 3*x + 6. Solve o(p) = 0 for p.
-1, 1
Let q(v) = 68*v - 272. Let t be q(4). Factor -2/17*k**2 + t*k + 0 - 2/17*k**3.
-2*k**2*(k + 1)/17
Let y(f) = -f**3 + f - 1. Let t(s) = 2*s**2 - 4. Let c(p) = t(p) - 2*y(p). Find r such that c(r) = 0.
-1, 1
Let v(s) be the third derivative of -4*s**7/105 + s**6/30 + 2*s**5/5 - 7*s**4/6 + 4*s**3/3 + 12*s**2. Find w, given that v(w) = 0.
-2, 1/2, 1
Let s(c) = 2*c**3 + 2*c**2 - c + 5. Let h be s(0). Factor -1/4*z**h + 0*z**2 - 1/4*z**4 + 0 + 0*z**3 + 0*z.
-z**4*(z + 1)/4
Suppose -5*h + h = 8. Let n be (-1)/h - (-6)/4. Factor 4*w**2 - 3*w**2 - 2*w**2 + 6*w - 3*w**3 - 2*w**n.
-3*w*(w - 1)*(w + 2)
Let v = 5 - 5. Suppose -i - 2 = -5*n, -2*i - 4 = -2*n - v. Suppose 0 + n*p**3 + 1/2*p**2 + 0*p - 1/2*p**4 = 0. What is p?
-1, 0, 1
Let f(d) be the third derivative of 1/3*d**3 + 1/30*d**5 - d**2 - 1/6*d**4 + 0*d + 0. Factor f(j).
2*(j - 1)**2
Let 0*w + 5 + 4*w**2 + 3 - 2*w**2 - 8*w = 0. Calculate w.
2
Solve 8*i**2 + 20/3*i + 2/3*i**4 + 2 + 4*i**3 = 0.
-3, -1
Let b(h) = -2*h**3 + 2*h**2 + 2*h + 1. Let k(g) = 9*g**3 - 9*g**2 - 9*g - 4. Let t(d) = 26*b(d) + 6*k(d). Factor t(p).
2*(p - 1)**2*(p + 1)
Determine g so that 5/9*g + 1/9*g**2 + 4/9 = 0.
-4, -1
Let p(m) be the first derivative of -3 + 5/2*m**4 + 4*m**2 + 8*m - 26/3*m**3. Factor p(f).
2*(f - 2)*(f - 1)*(5*f + 2)
Let h(x) be the second derivative of 0*x**2 - 2*x + 0 + 1/1080*x**6 + 1/2*x**3 - 1/72*x**4 + 0*x**5. Let v(y) be the second derivative of h(y). Factor v(j).
(j - 1)*(j + 1)/3
Let s(w) be the second derivative of -w**3/6 + 17*w**2/2 - 8*w. Let p be s(15). Factor 1/2*a**p - 1 - 1/2*a.
(a - 2)*(a + 1)/2
Let s be (-34)/85 - (-2)/5. Let o = s - -2. Factor 1/2*g + 1/6*g**3 + 1/6 + 1/2*g**o.
(g + 1)**3/6
What is a in 0 + 486*a**3 - 144*a**2 + 12*a + 0*a**4 - 6561/4*a**5 = 0?
-2/3, 0, 2/9
Let -16/11*x**3 + 4*x**2 + 2/11*x**4 - 48/11*x + 18/11 = 0. Calculate x.
1, 3
Determine f, given that -3/8*f**2 - 3/8*f**3 + 3/4*f + 0 = 0.
-2, 0