ermine o so that -o**v + 0*o + 1/2*o**4 + 1/2*o**2 + 0 = 0.
0, 1
Let k be (-11 + 6)/((-2)/(16/20)). Factor 32/7 - 16/7*o + 2/7*o**k.
2*(o - 4)**2/7
Let h(b) be the first derivative of 1/2*b**2 + 2/3*b**3 - 2*b + 1 - 1/4*b**4. Factor h(m).
-(m - 2)*(m - 1)*(m + 1)
Let y be (6/4)/(6/16). Suppose 0 = -x - y*z + 4, -4*x - 4*z + 14 = -2. Factor 1/2*m**3 - m - m**2 + 5/4*m**x + 1/2*m**5 - 1/4.
(m - 1)*(m + 1)**3*(2*m + 1)/4
Suppose 2*s = -0*y + y - 2, 20 = -2*y - 2*s. Let n = 10 + y. Factor -2*z**3 - 11*z**4 + 3*z**3 + 12*z**n.
z**3*(z + 1)
Let t be (-3)/9 + (-13)/(-3). Find c, given that -107*c**t + 107*c**4 - 2*c - 2*c**5 + 4*c**3 = 0.
-1, 0, 1
Suppose 2*d = 5*d - 6. Let f = d - 0. Factor -1/4 + 0*x + 1/4*x**f.
(x - 1)*(x + 1)/4
Let p = 632 + -630. Factor -4/3*f + 4/3*f**3 + 2/3 + 0*f**p - 2/3*f**4.
-2*(f - 1)**3*(f + 1)/3
Factor 9/4*t**2 + 3/4*t**3 - 27/4*t + 15/4.
3*(t - 1)**2*(t + 5)/4
Let f(h) = -h**2 - 2*h + 10. Let s be f(-4). Let q(t) be the third derivative of 0*t - 1/32*t**4 - 1/80*t**5 + 0*t**3 - s*t**2 + 0. Solve q(b) = 0 for b.
-1, 0
Let o be (-4 + 4)*(1 - 2). Suppose 5*t + k - 4*k = 13, -3*t - k + 5 = 0. Find w, given that -3/2*w**t + o - w = 0.
-2/3, 0
Let v(b) = -b + 4. Let o be v(2). Suppose p = -0 + o. Suppose 3*z**3 + 2*z**4 - z**2 - 7*z**3 + 3*z**p = 0. Calculate z.
0, 1
Let a be 2/7 - (-84)/49. Let m(o) be the third derivative of 0*o + 2*o**a + 1/84*o**4 + 0*o**3 + 1/210*o**5 + 0. Let m(x) = 0. What is x?
-1, 0
Suppose -31 = -5*g + 9. Let n be (-15)/(-36) + 2/g. Factor 2/3*m**4 - 4/3*m**3 + 0*m + 0 + n*m**2.
2*m**2*(m - 1)**2/3
Let h(c) be the second derivative of -c**6/15 + 3*c**5/10 - c**4/2 + c**3/3 + 32*c. Solve h(z) = 0.
0, 1
Let x(g) be the first derivative of -3 - 1/2*g**2 + 1/3*g**3 + 0*g. Suppose x(m) = 0. Calculate m.
0, 1
Suppose -27*h + 19*h = -16. Factor 4/5 + 4/5*m + 1/5*m**h.
(m + 2)**2/5
Let k be (-54)/(1 + 10/6). Let c = k + 21. What is b in -3*b + c*b**2 + 5/4*b**3 + 1 = 0?
-2, 2/5, 1
Let z(l) = 3*l**2 + 10 - 2*l + 22*l - 2 + 12. Let m(u) = u**2 + 7*u + 7. Let s(v) = 8*m(v) - 3*z(v). Factor s(c).
-(c + 2)**2
Let 0 - 1/4*d + 1/4*d**4 + 1/4*d**3 - 1/4*d**2 = 0. Calculate d.
-1, 0, 1
Let h(j) be the second derivative of 0 + 1/9*j**2 + 1/54*j**4 - j + 2/27*j**3. Factor h(w).
2*(w + 1)**2/9
Let z(c) be the second derivative of c**9/13608 + c**8/3780 + c**7/3780 - c**3/6 + 2*c. Let k(a) be the second derivative of z(a). Let k(n) = 0. What is n?
-1, 0
Let r(b) be the first derivative of b**6/10 + 3*b**5/10 + b**4/4 + 5*b + 5. Let y(a) be the first derivative of r(a). Factor y(p).
3*p**2*(p + 1)**2
Factor -3/5*z - 3/5*z**2 + 3/5*z**4 + 0 + 3/5*z**3.
3*z*(z - 1)*(z + 1)**2/5
Let a be 12/(-16) - (-19)/4. Let h(n) be the first derivative of -2 + 0*n + 0*n**2 + 0*n**3 - 1/4*n**a. Solve h(r) = 0.
0
Let n(d) be the first derivative of -d**6/180 + d**5/60 + 2*d**3/3 + 2. Let b(w) be the third derivative of n(w). Factor b(v).
-2*v*(v - 1)
Let i be ((-1)/2)/((-21)/14). Let y(k) be the first derivative of i*k**3 - 1/4*k**2 - 1 + 0*k - 1/8*k**4. Find f such that y(f) = 0.
0, 1
Let f(r) be the third derivative of r**8/1680 - r**7/1050 - r**6/200 + r**5/60 - r**4/60 - 29*r**2. Solve f(q) = 0.
-2, 0, 1
Let b(o) be the third derivative of o**7/630 - o**6/60 + o**5/15 - 5*o**4/36 + o**3/6 + 3*o**2. Factor b(w).
(w - 3)*(w - 1)**3/3
Determine v, given that -18 + 15*v**2 - 3*v + 4 + 3*v**3 - 1 = 0.
-5, -1, 1
Suppose -5 = -5*w + 10. Determine c, given that -3/2*c**w - 3/2 + 3/2*c + 3/2*c**2 = 0.
-1, 1
Let h(l) = 4*l - 1. Let c be h(-4). Let f(r) = 3*r**2 - 12*r + 21. Let m(t) = -9*t**2 + 37*t - 64. Let p(b) = c*f(b) - 6*m(b). Factor p(z).
3*(z - 3)**2
Let g(w) be the first derivative of -2/3*w**4 - 5/3*w**2 + 16/9*w**3 + 2/3*w - 2. Solve g(t) = 0 for t.
1/2, 1
Suppose 44/3*d**3 - 4/3*d**4 - 56*d**2 + 256/3*d - 128/3 = 0. Calculate d.
1, 2, 4
Factor -323*z - 2*z**4 + 2*z**2 + 323*z.
-2*z**2*(z - 1)*(z + 1)
Let s(f) = f**4 + f**3 - f**2 + 1. Let w(z) = -10*z**4 - 19*z**3 - 8*z**2 - 3*z - 4. Let b(u) = -4*s(u) - w(u). Factor b(i).
3*i*(i + 1)**2*(2*i + 1)
Let n be (-21)/35 + (-46)/(-10). Factor 24*w**n + 3 + 1 - 8*w**3 - 28*w**2 + 3*w**5 + 11*w**5 - 6*w.
2*(w - 1)*(w + 1)**3*(7*w - 2)
Factor -30*v**2 - 30 + 3*v**2 + 2*v**3 - 42 + v**2 + 96*v.
2*(v - 6)**2*(v - 1)
Let t(p) be the second derivative of p**5/120 - p**3/12 - p**2/6 - 2*p. Suppose t(y) = 0. Calculate y.
-1, 2
Let o be 64/(-24) + -4 + 7. Factor -1/3*c**3 + 1/3*c**4 + 0 - 1/3*c**2 + o*c.
c*(c - 1)**2*(c + 1)/3
Let c(b) = b**2 - 7*b + 8. Let q be c(6). Let v(w) = -w**2 + 2*w + 8. Let d be v(4). Factor -5*h**2 - 3*h**3 - h**q + d*h**3.
-3*h**2*(h + 2)
Find v, given that 512/11 - 512/11*v + 2/11*v**4 + 192/11*v**2 - 32/11*v**3 = 0.
4
Suppose -8 + 0 = -4*t. Find u such that -5*u**2 - u**2 - 3*u**2 + 2 + t - 16*u = 0.
-2, 2/9
Let u(n) be the second derivative of -2*n - 1/110*n**5 + 1/33*n**3 + 1/33*n**4 + 0 - 2/11*n**2. Factor u(o).
-2*(o - 2)*(o - 1)*(o + 1)/11
Let v = 44 - 7. Let -c**3 - 37 + v = 0. Calculate c.
0
Let g(w) be the second derivative of -w**7/18900 + w**6/2700 + w**5/300 - 5*w**4/12 - 4*w. Let l(r) be the third derivative of g(r). Factor l(k).
-2*(k - 3)*(k + 1)/15
Let p = 1304/7 + -186. Solve 2/7 + 2/7*o**3 - 2/7*o**2 - p*o = 0.
-1, 1
Suppose -2*h - 3*b = 0, 0 = -5*b + 8 - 28. Factor -h*i - 4*i**2 + i + i.
-4*i*(i + 1)
Let b be -4 + (-96)/(-15) - 2. Factor -b*h**2 - 2/5*h + 4/5.
-2*(h - 1)*(h + 2)/5
Let q = 3201/25 - 128. Let r(f) be the second derivative of -1/5*f**2 + 1/75*f**6 + q*f**5 - 4*f + 0 - 2/15*f**3 + 0*f**4. Factor r(t).
2*(t - 1)*(t + 1)**3/5
Let n = 1375/1844 + 2/461. Let r(w) be the first derivative of -n*w**2 - 1/2*w - 1/3*w**3 + 1. Factor r(h).
-(h + 1)*(2*h + 1)/2
Suppose 0*i - 9 = i. Let a be 6*1*(-6)/i. Factor 20*f + a*f**2 + 8 - 4*f + 2*f**2.
2*(f + 2)*(3*f + 2)
Let u(g) be the second derivative of -g**5/160 + g**4/48 + g**3/48 - g**2/8 - 7*g. Suppose u(q) = 0. Calculate q.
-1, 1, 2
Suppose -f - 84 = 3*g, 2*f - f + 2*g = -86. Let o be 6/10 - (-14)/f. Determine a, given that 0*a**2 - 2/9*a**5 + 0 - 2/9*a**3 + 0*a + o*a**4 = 0.
0, 1
Suppose -7*f = y - 3*f + 14, -2*y = -f - 17. Let l(j) be the first derivative of 1/4*j**2 + 1/12*j**y - 1 - 1/4*j**4 + 0*j**3 + 0*j + 0*j**5. Factor l(p).
p*(p - 1)**2*(p + 1)**2/2
Let z(c) = c**3 + 15*c**2 + 3*c + 21. Let m be z(-15). Let k be 5/10*m/(-9). Factor -2/3 + k*q - 2/3*q**2.
-2*(q - 1)**2/3
Let v be (3/2)/((-2)/4). Let h be 3 + 5/v + 1. Solve -2/3 - 5/3*p + h*p**2 = 0 for p.
-2/7, 1
Let r(z) be the third derivative of -z**7/735 - z**6/210 + z**4/42 + z**3/21 - z**2. Factor r(s).
-2*(s - 1)*(s + 1)**3/7
Let m be (-36)/10 - (-2)/(-5). Let v(x) = 2*x**2 - 2. Let g(w) = -w**2 + w + 2. Let r(p) = m*g(p) - 3*v(p). Let r(h) = 0. What is h?
-1
Let p(b) = -b**3 - 6*b**2 - 16*b - 8. Let q(j) = -j. Let r(s) = -4*s**3 + s**2 + s. Let v be r(-1). Let x(f) = v*q(f) - p(f). Factor x(l).
(l + 2)**3
Let p(d) be the first derivative of 2*d**5/25 - 3*d**4/10 + 2*d**3/15 + 3*d**2/5 - 4*d/5 + 70. Solve p(i) = 0.
-1, 1, 2
Let u be 0 + -3 + (-4)/((-12)/9). Let u*c**2 - 2/3*c + 2/3*c**3 - 1/3*c**4 + 1/3 = 0. Calculate c.
-1, 1
Let g = -62 + 64. Let y(h) be the first derivative of 0*h + 3/5*h**3 + 3/10*h**g + 1. Factor y(c).
3*c*(3*c + 1)/5
Let u be 1*((-36)/(-16) + -2). Solve -u*f + 1/4*f**2 - 1/4 + 1/4*f**3 = 0 for f.
-1, 1
Factor 0 + 3/5*c**2 + c.
c*(3*c + 5)/5
Let q be (115/30 + -4)*-2. Let d(c) be the second derivative of -q*c**3 + 0 + 1/2*c**2 - c + 1/12*c**4. Factor d(t).
(t - 1)**2
Let c(s) be the third derivative of -s**6/120 + 5*s**2. Let y(h) = -3*h**3 - h**2. Let r(i) = -2*c(i) + y(i). Factor r(v).
-v**2*(v + 1)
Let c(d) be the first derivative of -d**6/1440 + d**5/480 + d**4/48 - 2*d**3/3 - 3. Let s(l) be the third derivative of c(l). Factor s(x).
-(x - 2)*(x + 1)/4
Suppose 4*h - 32 = -4*h. Let l(m) be the second derivative of 5/18*m**h - 1/3*m**2 - 2*m + 1/10*m**5 + 1/9*m**3 + 0. Factor l(a).
2*(a + 1)**2*(3*a - 1)/3
Solve 6 - 8 - 3*i**2 + 2 - 3*i = 0.
-1, 0
Let i be 16/(-8) + 21/10. Let a(w) be the first derivative of -3 - 1/30*w**6 + i*w**2 + 2/15*w**3 - 2/25*w**5 + 0*w**4 + 0*w. Find g such that a(g) = 0.
-1, 0, 1
Let y be (2 + -8)/(5/10). Let q be 3 + 14*2/y. Factor -d**2 + 5/3*d - q.
-(d - 1)*(3*d - 2)/3
Let q(