et h = -1851/4 - -463. Solve -h*g**3 - 1/4*g**2 + 1/4*g + 1/4 = 0 for g.
-1, 1
Let c be 3 - (-2 + 6)/(-4). Solve 0*j**c - 2/9*j + 4/9*j**3 + 0*j**2 - 2/9*j**5 + 0 = 0.
-1, 0, 1
Let x be -2*-91*3/18. Let v = -30 + x. Let -2/3 + 1/3*o**2 - v*o = 0. What is o?
-1, 2
Let w(c) be the third derivative of c**5/30 - c**4/4 - 7*c**2. Determine s, given that w(s) = 0.
0, 3
Let m = 4 + -1. Factor -2*r**m + 2*r - 3*r + r - 6*r**4 + 8*r**5.
2*r**3*(r - 1)*(4*r + 1)
Let a(s) be the second derivative of -1/12*s**4 - 1/2*s**3 + 0 + 3/20*s**5 - s + 1/2*s**2. Factor a(i).
(i - 1)*(i + 1)*(3*i - 1)
Let p = -3/8 - -13/24. Let l(t) be the first derivative of -1 + 0*t + 0*t**2 - p*t**4 - 2/9*t**3. Factor l(w).
-2*w**2*(w + 1)/3
Factor 9/5*m**3 + 6/5*m - 3/5*m**5 - 3/5*m**4 + 3*m**2 + 0.
-3*m*(m - 2)*(m + 1)**3/5
Let w(l) be the first derivative of -l**3/9 + l/3 - 40. Let w(f) = 0. What is f?
-1, 1
Let a be (10/(-3))/(-5)*3. Suppose -3*w + 3*w**2 + 0*w + 0 - a + 3 - w**3 = 0. What is w?
1
Let q(p) be the first derivative of p**3 - 3*p - 5. Solve q(i) = 0 for i.
-1, 1
Let t = -6 + 6. Factor t - 3*v - 3/2*v**2.
-3*v*(v + 2)/2
Let d(l) be the second derivative of -l**8/6720 - l**7/1260 + l**4/6 + 4*l. Let j(n) be the third derivative of d(n). Factor j(c).
-c**2*(c + 2)
Let a(q) be the first derivative of 2*q**5/35 + q**4/14 - 2*q**3/7 - q**2/7 + 4*q/7 - 51. Factor a(r).
2*(r - 1)**2*(r + 1)*(r + 2)/7
Suppose 5*o + 5 - 15 = 0. Factor 8*g - 6*g**o - 8/3.
-2*(3*g - 2)**2/3
Let t(g) be the second derivative of -g**4/12 - g**3 - 9*g**2/2 + 5*g. Determine q, given that t(q) = 0.
-3
Factor -2/3*g**3 + 10/3*g**2 - 14/3*g + 2.
-2*(g - 3)*(g - 1)**2/3
Let z(t) be the second derivative of t**6/120 + t**5/80 - t**4/48 - t**3/24 - t. Factor z(w).
w*(w - 1)*(w + 1)**2/4
Let g = 3 - -4. Suppose 3*z - g + 1 = 0. Solve 10/3*o - z*o**2 - 4/3 = 0.
2/3, 1
Let f = 8 - 2. Solve -5*i**3 + 2*i**2 - i**4 + f*i**3 - 2*i**2 = 0.
0, 1
Let t(p) = -12*p. Let n be t(-1). Let 5*y**4 - 6*y**5 + 15*y**4 - 5*y**4 - n*y**3 + 3*y**2 = 0. What is y?
0, 1/2, 1
Let b(u) be the first derivative of -4/21*u**3 + 1/21*u**6 + 2/35*u**5 + 1/7*u**2 - 1 + 2/7*u - 1/7*u**4. Factor b(a).
2*(a - 1)**2*(a + 1)**3/7
Factor -3/2*w + 0 - 3/2*w**2.
-3*w*(w + 1)/2
Let g(r) be the second derivative of -r**4/3 + 2*r**3/3 + 4*r**2 + 7*r. Factor g(b).
-4*(b - 2)*(b + 1)
Suppose 0 = 2*i - 4*n + 12, -i - 5*n + 4 = 2*i. Let c be i/(-8)*(3 + -2). Determine h, given that 0 + 0*h - c*h**2 = 0.
0
Suppose 791*f + 26 = 804*f. Factor 2/5*b**5 + 12/5*b**3 - 8/5*b**4 + 0 + 2/5*b - 8/5*b**f.
2*b*(b - 1)**4/5
Let -8*d - 27*d**2 - 1 + 36*d + 13 + 8*d - 21*d**3 = 0. Calculate d.
-2, -2/7, 1
Suppose 0 - 2/3*f**4 + 0*f**3 + 0*f + 1/3*f**5 + 0*f**2 = 0. What is f?
0, 2
Suppose -2 = -4*m + 10. Let f(u) be the first derivative of 1/6*u**2 + 2/3*u**m - 1 + 0*u + 3/4*u**4. Suppose f(k) = 0. Calculate k.
-1/3, 0
Let l(a) be the first derivative of a**6/18 - a**5/15 - a**4/6 + 50. Let l(v) = 0. What is v?
-1, 0, 2
Factor -4*y**4 - 11*y - 4*y**2 + 6*y**3 - 10*y + y**5 + 22*y.
y*(y - 1)**4
Let i(d) be the third derivative of -d**7/15120 + d**5/720 + d**4/24 - 4*d**2. Let x(l) be the second derivative of i(l). Factor x(p).
-(p - 1)*(p + 1)/6
Let t(q) = -9*q - 18. Let l be t(-2). Factor l*i + 1/3*i**5 - 1/3*i**2 - 1/3*i**3 + 0 + 1/3*i**4.
i**2*(i - 1)*(i + 1)**2/3
Suppose -9/7*d**2 + 3/7*d**3 + 0 + 6/7*d = 0. What is d?
0, 1, 2
Determine v, given that -7*v**3 - v**4 - v**4 - 8*v**2 + v**2 + 6*v - 8*v = 0.
-2, -1, -1/2, 0
Let x(y) = 2*y**3 + y**2 + y - 1. Let n(j) = j**3 - 2*j**2 + 7*j + 7. Let v(p) = -2*n(p) + 2*x(p). Suppose v(b) = 0. What is b?
-4, -1, 2
Let m be ((-3)/(-14))/(-1 - 150/(-42)). Let l(h) be the first derivative of 0*h - 3 + 1/4*h**2 - m*h**3. Factor l(f).
-f*(f - 2)/4
Let q(k) be the second derivative of -k**5/80 - 9*k. Factor q(g).
-g**3/4
Factor 4*o**4 + 27*o**2 - 21*o + 9*o - 20*o**3 + o**2.
4*o*(o - 3)*(o - 1)**2
Let h(r) = r**3 - 3*r**2 + 5*r + 1. Let w(u) = u + 1. Suppose -5*i - 11 + 1 = 0. Let l(o) = i*w(o) + h(o). Factor l(n).
(n - 1)**3
Factor -3/2*y**2 - 1/2*y**3 + 0*y + 0.
-y**2*(y + 3)/2
Let v(t) be the first derivative of -3*t**4/8 + 5*t**3/6 - t**2/4 - t/2 + 8. Factor v(a).
-(a - 1)**2*(3*a + 1)/2
Let s(t) be the third derivative of -4/135*t**5 - 1/27*t**4 + 0 - 1/108*t**6 - 1/945*t**7 - 7*t**2 + 0*t**3 + 0*t. Determine u, given that s(u) = 0.
-2, -1, 0
Find a, given that 1 + 2*a + 0*a**2 - a**2 + 3*a**2 - a**2 = 0.
-1
Let i(o) be the second derivative of 0*o**2 + 4*o + 0*o**6 + 0 + 1/45*o**5 + 0*o**4 - 1/27*o**3 - 1/189*o**7. Factor i(j).
-2*j*(j - 1)**2*(j + 1)**2/9
Let k = 28/3 + -37/4. Let c(d) be the second derivative of 2*d + 0*d**2 + k*d**4 + 0 + 0*d**3. Factor c(y).
y**2
Solve 1/5*i**3 + 3*i - 7/5*i**2 - 9/5 = 0.
1, 3
Let g be 6/39 + 394/(-26). Let u be 32/10 - (-3)/g. Factor 2/5 + 2/5*y - 2/5*y**u - 2/5*y**2.
-2*(y - 1)*(y + 1)**2/5
Let c(f) be the third derivative of -2*f**7/105 + f**5/15 + 16*f**2. Determine u, given that c(u) = 0.
-1, 0, 1
Let h(p) be the second derivative of p**6/195 - p**5/65 + p**4/78 + 24*p. Factor h(a).
2*a**2*(a - 1)**2/13
Let p(u) be the third derivative of 1/60*u**5 + 2/3*u**3 + 0 - 3*u**2 + 0*u + 1/6*u**4. Factor p(n).
(n + 2)**2
Let z be 238/(-63) - (-6 - -2). Factor -2/9*w**2 - z*w + 4/9.
-2*(w - 1)*(w + 2)/9
Let p(q) be the third derivative of 1/32*q**4 + 1/24*q**3 + 1/480*q**6 + 1/80*q**5 - 3*q**2 + 0 + 0*q. Suppose p(g) = 0. Calculate g.
-1
Let i(p) = p**5 + p**4 - p**3 + p**2 + 1. Let y(w) = w**5 + 3*w**4 + w**3 + 5*w**2 - 2*w + 4. Let u be -1*(0 + 1 - 0). Let v(o) = u*y(o) + 4*i(o). Factor v(m).
m*(m - 1)*(m + 1)**2*(3*m - 2)
Let x(i) be the first derivative of 3 - 1/4*i**2 + 1/2*i + 1/8*i**4 - 1/6*i**3. Factor x(o).
(o - 1)**2*(o + 1)/2
Let s = 22 - 18. Let w(g) be the first derivative of -1/2*g - 5/3*g**3 - 1/2*g**5 + 2 + 5/4*g**2 + 5/4*g**s + 1/12*g**6. Factor w(u).
(u - 1)**5/2
Let f = -17 - -17. Suppose f = -0*n - n. Factor n + 0*p - p**2 - 3/2*p**3 + 5/2*p**4.
p**2*(p - 1)*(5*p + 2)/2
Suppose 4*c - 25 = -k, 5*k - 3*c - 5 = c. Determine j so that 4*j**5 - 3*j**3 - 6*j**4 + 0*j**3 - 3*j**5 - 4*j**k = 0.
-1, 0
Let b(g) be the first derivative of -g**4/16 - g**3/12 - 8. Factor b(s).
-s**2*(s + 1)/4
Let d(t) be the third derivative of -t**5/390 + t**4/78 - t**3/39 - 7*t**2. Factor d(g).
-2*(g - 1)**2/13
Factor -4/9 - 34/9*l - 14/3*l**2.
-2*(3*l + 2)*(7*l + 1)/9
What is i in -i**4 + 15/7*i - 2/7*i**2 - 1/7*i**5 - 2*i**3 + 9/7 = 0?
-3, -1, 1
Let k(q) = -q**2 + 2*q + 3. Let b be k(3). Factor 2*i**4 - 2*i**3 + b*i**4 + 4*i**3.
2*i**3*(i + 1)
Let n(h) be the third derivative of h**7/70 + h**6/40 - h**5/20 - h**4/8 + 7*h**2. Factor n(w).
3*w*(w - 1)*(w + 1)**2
Let x be ((-16)/(-48))/(-1 - -2). Factor 1/3 + 2/3*i + x*i**2.
(i + 1)**2/3
Let c(l) be the first derivative of -l**5/30 - l**4/9 + l**3/9 + 2*l**2/3 - 5*l - 3. Let z(m) be the first derivative of c(m). Suppose z(n) = 0. What is n?
-2, -1, 1
Let l = -17 - -19. Let x(a) be the first derivative of 1/3*a**3 + 3/4*a**4 + 0*a - a**l - 2. Factor x(d).
d*(d + 1)*(3*d - 2)
Let n = 2 + 1. Let m be (-16)/88 + (-2)/(-11). Factor 7/2*s**2 - 8*s**4 + 4*s**n + 1/2*s + m.
-s*(s - 1)*(4*s + 1)**2/2
Let 5/4*b**2 + 1/4*b**3 + 3/4*b - 9/4 = 0. Calculate b.
-3, 1
Let x(m) be the third derivative of 1/60*m**4 + 0*m**3 - 2*m**2 - 1/50*m**5 - 1/525*m**7 + 0 + 1/100*m**6 + 0*m. Factor x(k).
-2*k*(k - 1)**3/5
Let v(h) be the second derivative of -h**7/280 + h**6/120 + 2*h**3/3 + 3*h. Let l(m) be the second derivative of v(m). Factor l(c).
-3*c**2*(c - 1)
Factor 48*v**2 - 28*v**2 - 22*v**2 - 4 + 6*v.
-2*(v - 2)*(v - 1)
Let g be ((-9)/18)/(1/(-24)). Suppose -4*h + 20 = g. Factor 7/2*a - 1 + 9/2*a**h.
(a + 1)*(9*a - 2)/2
Let q be ((-6)/9 + -1)*-6. Suppose -5*h + q + 5 = 0. Solve 4/9*m**2 + 2/9*m + 2/9*m**h + 0 = 0 for m.
-1, 0
Let y(v) be the second derivative of -v**4/42 + 2*v**3/21 + 3*v**2/7 + 70*v. Solve y(w) = 0 for w.
-1, 3
Let n(b) be the first derivative of b**3/12 - b/4 - 27. Determine t, given that n(t) = 0.
-1, 1
Let q(d) = -d**3 - 9*d**2 - 6*d + 10. Let g be q(-8). Let v be (g/(-9))/(-2)*-6. Factor -5 - 4*b + v*b**2 + 5.
2*b*(b - 2)
Let p(r) be the second derivative of r**6/900 - r**5/100 + r**4/30 + 5*r**3/6 + 2*r. Let b(d) be the second der