 + 11/4*j = 0 for j.
-1, 6
Let x(v) be the first derivative of 0*v + 9/20*v**4 + 9/25*v**5 + 0*v**2 - 1 + 1/10*v**6 + 1/5*v**3. Factor x(k).
3*k**2*(k + 1)**3/5
Let c = 1561/9 - 173. Factor -2/9*j**3 - c + 2/9*j + 4/9*j**2.
-2*(j - 2)*(j - 1)*(j + 1)/9
Let w(v) be the first derivative of -5*v**4/12 - v**3/3 + v**2/3 + 7. Find p such that w(p) = 0.
-1, 0, 2/5
Let v = 30 + -27. Let u(p) be the first derivative of 0*p - 2/33*p**v - 1/22*p**4 - 1 + 0*p**2. Factor u(i).
-2*i**2*(i + 1)/11
Let h be (4/12)/(1/9). Factor 4*t - t**3 - 11*t**h + 8 - 28*t + 41*t**2 - 15*t**2 + 2*t**4.
2*(t - 2)**2*(t - 1)**2
Let h be (-3)/6 + 65/10. Factor -6 + h*y - 3/2*y**2.
-3*(y - 2)**2/2
Let f(z) = -2*z**2 + 4*z - 8. Suppose 15 = -4*h - 5. Let r be (2/h)/((-6)/(-60)). Let o(t) = 2*t**2 - 5*t + 8. Let a(k) = r*o(k) - 3*f(k). Factor a(d).
-2*(d - 2)**2
Let c(i) be the second derivative of i**7/2520 + i**4/12 + 2*i. Let m(o) be the third derivative of c(o). Solve m(q) = 0.
0
Determine f, given that 0 + 0*f + 32/3*f**3 - 8/3*f**2 - 14/3*f**4 = 0.
0, 2/7, 2
Find q, given that 2*q - 8*q + 38*q**3 + 9*q**2 + 38*q**3 - 79*q**3 = 0.
0, 1, 2
Let t(c) be the first derivative of c**6/8 + 3*c**5/20 - 9*c**4/16 - c**3/4 + 3*c**2/4 - 18. Find j, given that t(j) = 0.
-2, -1, 0, 1
Solve -10/3*v + 4/3 + 2/3*v**3 + 2*v**2 - 2/3*v**4 = 0 for v.
-2, 1
Suppose 3*h - 32 = -8. Let t = h + -6. Factor -13/5*p**t - 4/5 - 6/5*p**3 - 1/5*p**4 - 12/5*p.
-(p + 1)**2*(p + 2)**2/5
Let g = 2545 - 10099/4. Factor g*r - 27/4*r**2 - 81/4 + 3/4*r**3.
3*(r - 3)**3/4
Solve 1/2*t**3 - 1/2*t**4 + 1/6*t**5 + 0 - 1/6*t**2 + 0*t = 0.
0, 1
Let y(q) be the first derivative of -q**3/5 - 39*q**2/5 - 507*q/5 - 32. Factor y(m).
-3*(m + 13)**2/5
Let i(n) be the second derivative of -3*n**5/50 - n**4/30 + n**3/5 + n**2/5 - 43*n. Factor i(x).
-2*(x - 1)*(x + 1)*(3*x + 1)/5
Suppose -5*p + 0*p = -4*p. Factor 0*g + 0 - 2/5*g**4 + p*g**2 + 2/5*g**3.
-2*g**3*(g - 1)/5
Let a be 2*4 + 2/2. Let w be 0 - (a/(-2) + 3). Factor f**3 + 1/2*f**5 + 1/2 - 3/2*f**4 + f**2 - w*f.
(f - 1)**4*(f + 1)/2
Determine y, given that -143*y**3 + 140*y**3 + 15*y**2 - 24*y + 14 - 2 = 0.
1, 2
Factor 0*m**4 + 0 - 3/5*m**3 + 3/5*m**5 + 0*m + 0*m**2.
3*m**3*(m - 1)*(m + 1)/5
Let n be -1 + -2 + 2*(-14)/(-4). Factor 1/2*d + 3/2*d**3 + 1/2*d**n + 0 + 3/2*d**2.
d*(d + 1)**3/2
Let b(y) be the third derivative of y**5/12 + 5*y**4/8 + 5*y**3/3 + y**2. Factor b(a).
5*(a + 1)*(a + 2)
Let w be -5*((-28)/(-15) + -2). Suppose -2*p = i - 4, 0*p - p + 4 = i. Factor 2/3*u**4 + 4/3*u**3 + 0*u + 0 + p*u**2 - w*u**5.
-2*u**3*(u - 2)*(u + 1)/3
Suppose -8*c = -29*c - 30*c. Factor c + 2/3*k + 0*k**2 - 2/3*k**3.
-2*k*(k - 1)*(k + 1)/3
Let q(d) = d - 1. Let u be q(11). Let h be -7 - -5 - (-36)/u. Find f, given that h*f - 8/5 - 2/5*f**2 = 0.
2
Let z(v) = -5*v - 6. Let f be z(-2). Factor -2/5*g**2 + 0 + 2/5*g - 2/5*g**3 + 2/5*g**f.
2*g*(g - 1)**2*(g + 1)/5
Find g such that -3*g**5 + 8*g**4 - 2*g**2 - 4 + 10*g + 0*g**2 - 8*g**3 - 2*g**2 + g**5 = 0.
-1, 1, 2
Let s(p) = 3*p**3 + 2*p**2 - p. Let q be s(1). Factor -167*u**2 + 167*u**2 + 3*u**q + 12*u - 9*u**3.
3*u*(u - 2)**2*(u + 1)
Let f(i) be the second derivative of 0 + 0*i**3 + 6*i - 2/5*i**2 + 1/20*i**4 - 1/100*i**5. Let f(d) = 0. What is d?
-1, 2
Let f be (4 - -1) + -8 - -6. Suppose 2*k**2 + 2/3*k**f + 4/3*k + 0 = 0. Calculate k.
-2, -1, 0
Suppose -3*p = -2*t + 52, 2 - 70 = 4*p - 3*t. Let g = p + 23. Factor -1/3 - o**2 - 1/3*o**g - o.
-(o + 1)**3/3
Let m(p) be the third derivative of p**8/5880 + p**3/6 + p**2. Let a(h) be the first derivative of m(h). Factor a(t).
2*t**4/7
Let d(s) be the second derivative of s**6/8 - 9*s**5/20 + 9*s**4/16 - s**3/4 - 13*s. Factor d(g).
3*g*(g - 1)**2*(5*g - 2)/4
Suppose 8*u = 5*u + 24. Suppose 4*l - 2*k = 8, 0 = -l + 3*l + k - u. Factor 1/4*x**l + 1/4*x**2 + 0*x + 0.
x**2*(x + 1)/4
Let y(p) be the third derivative of -p**6/840 + p**4/56 - p**3/21 + 2*p**2. Find v such that y(v) = 0.
-2, 1
Suppose c = -66 + 68. Let d(o) be the third derivative of 0*o**3 + 0*o + 0 + 1/735*o**7 + 0*o**4 - 1/210*o**5 + c*o**2 + 0*o**6. Factor d(x).
2*x**2*(x - 1)*(x + 1)/7
Let v(j) be the third derivative of 0*j - 2*j**2 + 0*j**3 - 1/120*j**5 + 0 - 1/24*j**4. Factor v(q).
-q*(q + 2)/2
Let n = -22 - -12. Let x = n - -10. Factor x*b**2 + 0 - 2/3*b**3 + 2/3*b.
-2*b*(b - 1)*(b + 1)/3
Suppose -4*k + 0*k = -8. Factor 2*p - p - 3*p + 4*p**k - 3*p**2.
p*(p - 2)
Let d(y) be the first derivative of -5*y**6/12 + y**5/2 + 5*y**4/4 - 5*y**3/3 - 5*y**2/4 + 5*y/2 + 8. Suppose d(f) = 0. What is f?
-1, 1
Let r be -2 - ((-51)/24)/1. Let v(b) be the first derivative of 0*b + 1 - r*b**2 - 1/12*b**3. Factor v(w).
-w*(w + 1)/4
Let v(a) be the second derivative of a**6/6 - a**5/4 - 5*a**4/6 - 23*a. Solve v(b) = 0.
-1, 0, 2
Let l(b) be the third derivative of -1/3*b**4 + 0*b - 1/3*b**3 - 1/105*b**7 + 0 - 1/5*b**5 - 1/15*b**6 - 9*b**2. Factor l(m).
-2*(m + 1)**4
Let k(i) be the second derivative of -i**3/3 + i**2 + i. Let l(v) = -v**2 + v. Let j(y) = 4*k(y) + 4*l(y). Solve j(u) = 0 for u.
-2, 1
Let h be (2 - 0/2) + 1. Suppose h*i - 26 = -2*i + 4*c, 3*i - 20 = -2*c. Factor d + 6 - i + d**2.
d*(d + 1)
Let u(t) be the first derivative of t**4/24 + t + 4. Let h(z) be the first derivative of u(z). Factor h(c).
c**2/2
Let r = -2 - -8. Factor 6 + 15*z - r*z - 3*z**3 + 0*z**3.
-3*(z - 2)*(z + 1)**2
Let q(d) = -d**3 - 2*d**2 + d - 3. Let j be q(-3). Let i be -1*(2 - (j - -2)). Suppose 0 + 1/4*o + 1/4*o**i + 1/2*o**2 = 0. What is o?
-1, 0
Let -6*o**3 + 9/2*o**2 + 3/2*o**4 - 6 + 6*o = 0. Calculate o.
-1, 1, 2
Let b = -184 - -1290/7. Suppose 6 = 3*v - 6. Factor -b*i + 4/7*i**2 + 2/7*i**5 + 0*i**3 - 4/7*i**v + 0.
2*i*(i - 1)**3*(i + 1)/7
Let g(a) = -2*a - 5. Let q be g(-4). Factor 1/3*m - 11/3*m**4 + 1/3 - 2*m**2 - m**5 - 14/3*m**q.
-(m + 1)**4*(3*m - 1)/3
Let f(b) be the second derivative of 0 - 1/12*b**4 + 4*b + 0*b**2 - 1/6*b**3. Find j, given that f(j) = 0.
-1, 0
Let -w**3 + w + 3/4*w**4 + 1 - 7/4*w**2 = 0. What is w?
-1, -2/3, 1, 2
Suppose -4*l = -5*r - 26, l - 3*r - 8 = 2. Factor 0 + 6*w**l - 12*w + 24*w**2 + 2 - 20*w**3 + 0.
2*(w - 1)**3*(3*w - 1)
Let m(u) = -u**2 - 4*u - 10. Let r be m(-8). Let s be 1/3 - 130/r. Factor 0 + s*f**4 + 4/7*f**2 - 10/7*f**5 + 0*f - 18/7*f**3.
-2*f**2*(f - 1)**2*(5*f - 2)/7
Suppose -7*x + 10 = -9*x + 4*g, -4*x - 5*g + 32 = 0. Factor 0 - 4/5*w**2 + 2/5*w + 2/5*w**x.
2*w*(w - 1)**2/5
Suppose 16 = 4*f + 4*r, -r = -2 - 0. Find z, given that -6*z**4 - 8*z**4 + 11 - 26*z - 54*z**f - 15 - 46*z**3 = 0.
-1, -2/7
Let n be (24/16)/((-6)/(-16)). Suppose n*i - 5*i = -2. Determine c, given that c - c**3 + 0*c**i - 1/2 + 1/2*c**4 = 0.
-1, 1
Let m(c) be the first derivative of -3*c**4/16 - 3*c**3/4 + 3*c + 3. What is h in m(h) = 0?
-2, 1
Let a(u) be the second derivative of -21/20*u**5 + 1/8*u**2 + 49/120*u**6 + 1/2*u**3 + 0 + 11/24*u**4 - 8*u. Factor a(d).
(d - 1)**2*(7*d + 1)**2/4
Let v(g) = -5*g**3 + 44*g**2 - 33*g. Let i(f) = 60*f**3 - 530*f**2 + 395*f. Let q(l) = -2*i(l) - 25*v(l). Factor q(w).
5*w*(w - 7)*(w - 1)
Let i = 5 - 3. Let h be (1/(-3))/((-1)/9). Find c, given that -c**2 + 3*c**2 + 1 - h*c**i + c - c**3 = 0.
-1, 1
Solve 2/17*d**3 + 10/17*d + 4/17 + 8/17*d**2 = 0 for d.
-2, -1
What is y in -13*y**2 + y**3 + 28*y**2 - 14*y**2 = 0?
-1, 0
Let o(n) be the second derivative of -n**4/3 - 8*n**3/3 + 10*n**2 - 2*n. Factor o(j).
-4*(j - 1)*(j + 5)
Let a(j) = j**2 + 5*j - 4. Let p be a(-6). Suppose 0 = 6*k - 166 + 148. Factor 0*q + 1/4*q**p + 0 + 1/4*q**5 - 1/4*q**4 - 1/4*q**k.
q**2*(q - 1)**2*(q + 1)/4
Let u(i) be the second derivative of -i**6/1440 - i**5/120 - i**4/32 - i**3/3 + i. Let j(s) be the second derivative of u(s). Factor j(n).
-(n + 1)*(n + 3)/4
Let j(k) be the first derivative of -5*k**3/6 - k**2 + k/2 + 5. Find v, given that j(v) = 0.
-1, 1/5
Factor 432/7*s + 1728/7 + 1/7*s**3 + 36/7*s**2.
(s + 12)**3/7
Let t(u) = u**3 + u**2 - u. Let k(q) = -10*q**2 - 4*q - 8. Let g(j) = -j**3 + j**2 + j + 1. Let n(w) = -4*g(w) - k(w). Let o(f) = n(f) - 6*t(f). Factor o(x).
-2*(x - 2)*(x + 1)**2
Suppose 3*v - d = -0*d + 17, v = -4*d - 16. Factor 3*g**v - 5*g**3 + g**3 + g**3.
3*g**3*(g - 1)
Suppose -3*r = -r - 10. Let k(i) = -i + 9. Let n be k(r). Let -2*t**5 + 0*t**4 - 2*t**4 - 2*t**n = 0. Calculate t.
-2, 0
Let k(f) = -f