 3 + 1/10*c**5 - 1/2*c**2. Find m such that w(m) = 0.
-2, -1, 0, 1
Let x = -59/78 + 12/13. Factor -1/6 - 2/3*o**3 + x*o**2 + 2/3*o.
-(o - 1)*(o + 1)*(4*o - 1)/6
Factor 0*u - 2/3*u**2 + 2/3.
-2*(u - 1)*(u + 1)/3
Suppose 0 = 5*s - 2*s - 6. Solve 7/4*y**4 - 9/4*y - 5/4*y**s - 1/2 + 9/4*y**3 = 0 for y.
-1, -2/7, 1
Suppose -y - 2 = -4. Let t(q) be the third derivative of 0*q**3 - 1/270*q**5 + 0 - 1/108*q**4 + 3*q**y + 0*q. Factor t(w).
-2*w*(w + 1)/9
Let c(z) = -6*z - 3. Let s be c(-1). Let i(b) be the first derivative of -1/2*b**4 - 2/3*b**s - 2 + b**2 + 2*b. Suppose i(y) = 0. What is y?
-1, 1
Let c(l) be the third derivative of 1/12*l**6 + 5*l**2 - 5/24*l**4 + 0 + 1/15*l**5 + 0*l - 1/105*l**7 - 5/336*l**8 - 1/3*l**3. Let c(n) = 0. Calculate n.
-1, -2/5, 1
Suppose 0 - 2 = 2*m. Let k(q) = 4*q**2 - 2*q + 3 + q - q. Let d(l) = -l**2 - 1. Let f(c) = m*k(c) - 3*d(c). Factor f(n).
-n*(n - 2)
Factor 0 + 2/7*p**2 - 2/7*p**5 - 2/7*p**3 - 2/3*p**4 + 4/21*p.
-2*p*(p + 1)**3*(3*p - 2)/21
Let t(k) be the second derivative of -k**7/28 + k**6/5 - 9*k**5/40 - k. Solve t(r) = 0.
0, 1, 3
Let n be ((-29)/2)/(4/(-8)). Determine z so that -1 - 10*z - 3 - 5*z**2 + n*z**2 - 10*z = 0.
-1/6, 1
Let h = 35 - 35. Let u(x) be the second derivative of 1/120*x**6 + 0*x**3 - 1/80*x**5 + 1/168*x**7 + x + h + 0*x**2 - 1/48*x**4. Factor u(g).
g**2*(g - 1)*(g + 1)**2/4
Factor 1/6*h**2 + 0 + 1/3*h.
h*(h + 2)/6
Let h(a) be the first derivative of a**5 + 5*a**4/4 - 5*a**3/3 - 5*a**2/2 - 13. What is k in h(k) = 0?
-1, 0, 1
Factor -2/3*f**3 - 2/3*f + 0 + 4/3*f**2.
-2*f*(f - 1)**2/3
Let g(q) be the second derivative of -q**4/6 + q**3/3 + 2*q**2 + 3*q. Find p such that g(p) = 0.
-1, 2
Let l = -35/6 + 6. Let a(q) be the first derivative of -1 - 1/10*q**5 + 1/4*q**2 - 1/8*q**4 + 0*q + l*q**3. Find f such that a(f) = 0.
-1, 0, 1
Let x(g) be the second derivative of 0 + 3*g - 1/130*g**5 + 1/78*g**4 + 1/39*g**3 - 1/13*g**2. Factor x(p).
-2*(p - 1)**2*(p + 1)/13
Let t(u) be the second derivative of 32*u**7/7 + 16*u**6/15 - 25*u**5 + 30*u**4 - 46*u**3/3 + 4*u**2 + 14*u. Solve t(i) = 0.
-2, 1/4, 1/3, 1
Let p be (-4)/(16/4) + (-36)/(-28). Solve 2/7 + 0*y**2 + 4/7*y - p*y**4 - 4/7*y**3 = 0.
-1, 1
Let p(z) be the third derivative of -z**8/23520 + z**7/8820 - z**4/8 - 3*z**2. Let b(o) be the second derivative of p(o). Factor b(y).
-2*y**2*(y - 1)/7
Let m(h) = -25*h**5 - 16*h**4 + 21*h**3 + 20*h**2 + 4*h. Let a(l) = 50*l**5 + 31*l**4 - 42*l**3 - 40*l**2 - 8*l. Let t(p) = -4*a(p) - 9*m(p). Factor t(j).
j*(j - 1)*(j + 1)*(5*j + 2)**2
Let y(w) be the third derivative of w**5/15 + w**4/2 + 7*w**2. Factor y(q).
4*q*(q + 3)
Let y(j) be the third derivative of 0*j**3 + 0*j - 1/30*j**6 + 1/105*j**7 + 1/6*j**4 - j**2 - 1/30*j**5 + 0. Factor y(q).
2*q*(q - 2)*(q - 1)*(q + 1)
Let y be (-126)/140 + 2/2. Let r(o) be the first derivative of o + 5/4*o**2 - 1/8*o**4 - y*o**5 - 3 + 1/2*o**3. Factor r(l).
-(l - 2)*(l + 1)**3/2
Let c = -13 - -15. Determine i, given that -2 + 7*i**c - i + 0*i - 6*i**2 = 0.
-1, 2
Let a(t) be the third derivative of -t**6/120 + t**5/4 - 25*t**4/8 + 125*t**3/6 + 10*t**2. Factor a(v).
-(v - 5)**3
Let z be (-4)/(-10) - (-8)/5. Let k be z + 1/1 + 1. Find y, given that 7/3*y**2 + k*y - 4/3 = 0.
-2, 2/7
Let y(c) = c**3 - 8*c**2 + 8*c - 5. Let j be y(7). Solve 2*k**j + 0*k**2 - 3*k**3 + 0*k**3 - 5*k**2 = 0.
-1, 0
Let v(s) be the third derivative of -1/24*s**6 - s**2 + 3/20*s**5 - 7/24*s**4 + 1/3*s**3 + 0 + 0*s + 1/210*s**7. What is r in v(r) = 0?
1, 2
Determine i so that -241 + 241 - 2*i**2 = 0.
0
Find u such that -88*u - 15*u**2 - 117*u**2 + 7 - 10*u**3 - 20 - 3 + 50*u**4 = 0.
-1, -2/5, 2
Suppose -4*w - y = y - 2, 4*y + 6 = 2*w. Let t(p) = -p**3 + p + 1. Let h(b) = 6*b**3 - 7*b**2 - 3*b + 1. Let g(r) = w*h(r) + 3*t(r). Factor g(u).
(u - 2)*(u - 1)*(3*u + 2)
Let q(c) = -2*c**4 - 12*c**3 - 14*c**2 - 10*c - 2. Let k(a) = a**3 - a**2 + a + 1. Let d(w) = 2*k(w) + q(w). Factor d(l).
-2*l*(l + 1)*(l + 2)**2
Let h be 34/(-85) - (1 - 5). Factor -12/5*b - 2/5 - h*b**2.
-2*(3*b + 1)**2/5
Let k be ((-3)/(-4))/(15/10). Let i(j) be the second derivative of 2*j - j**2 + k*j**3 + 0 - 1/12*j**4. Determine x, given that i(x) = 0.
1, 2
Let r(z) = -z**2 - z + 1. Let p(i) = 12*i**5 + 32*i**4 - 24*i**3 - 16*i**2 + 28*i - 16. Let q(t) = -p(t) - 16*r(t). Find d such that q(d) = 0.
-3, -1, 0, 1/3, 1
Let n(s) be the first derivative of -s**6/60 - s**5/30 + 5*s**2/2 - 4. Let m(l) be the second derivative of n(l). Factor m(k).
-2*k**2*(k + 1)
Find y, given that 1/4 + 1/4*y**2 + 7/8*y - 3/8*y**3 = 0.
-1, -1/3, 2
Let x(g) be the second derivative of -g**7/105 - 2*g**6/75 + g**4/15 + g**3/15 + 5*g. Solve x(a) = 0 for a.
-1, 0, 1
Let l = 18859/2 - 9151. Let n = l - 6119/22. Factor 0*a - n*a**2 + 0 - 2/11*a**3.
-2*a**2*(a + 2)/11
Factor -2*k**2 - k**2 + 6*k + 4 + 6*k - 16*k.
-(k + 2)*(3*k - 2)
Let y be 6/(-12) + -2*3/(-6). Let n(k) be the first derivative of 1/3*k**6 + 0*k**3 + 0*k**2 + 0*k + 0*k**5 - y*k**4 + 3. Factor n(h).
2*h**3*(h - 1)*(h + 1)
Determine p, given that 69*p**3 + 21*p**4 + 13*p - p + 25*p**2 + 35*p**2 = 0.
-2, -1, -2/7, 0
Let o(f) = -3*f**3 - f - 4. Let c(m) = 2*m**3 + m + 3. Suppose 3*d = -5*x + x - 8, 0 = 3*d + 5*x + 13. Let q(t) = d*c(t) + 3*o(t). Factor q(i).
-i*(i - 1)*(i + 1)
Suppose -2 = 2*z, -z - 9 = -6*g + 4*g. Let 5*x**2 + 12*x**3 - x**4 - 8*x**g + 7*x**2 + 0*x**4 = 0. Calculate x.
-2/3, 0, 2
Solve -16*y**3 + 447*y**4 - 451*y**4 + 14*y + 8 + 2*y**5 + 0*y**2 - 4*y**2 = 0 for y.
-1, 1, 4
Suppose 0*t - 2*t = -10. Let q(i) be the third derivative of 1/120*i**t - 1/24*i**4 + 0 + 0*i + 1/12*i**3 - 2*i**2. Factor q(y).
(y - 1)**2/2
Let b(s) be the third derivative of -17*s**6/120 - 2*s**2. Let v(c) = -4*c**3. Let y(r) = -2*b(r) + 9*v(r). Factor y(q).
-2*q**3
Let w(c) be the second derivative of c**4/3 + 9*c. Solve w(y) = 0.
0
Let q(v) be the second derivative of -v**6/15 + v**5/20 + v**4/4 - v**3/6 - v**2/2 + v. Let q(s) = 0. Calculate s.
-1, -1/2, 1
Let f(p) = -2*p - 8. Let d be f(-6). Factor x**5 + 1 - 3*x**d - 2*x**3 + 4*x**5 + 0*x**2 - 6*x**5 + 3*x + 2*x**2.
-(x - 1)*(x + 1)**4
Let w(i) be the third derivative of -i**7/350 + i**6/100 + i**5/100 - i**4/20 - 2*i**2. Factor w(u).
-3*u*(u - 2)*(u - 1)*(u + 1)/5
Let 9/5*m - 3/5*m**2 - 6/5 = 0. What is m?
1, 2
Let h(c) be the first derivative of c**4/6 + 2*c**3/9 + 3. Find m, given that h(m) = 0.
-1, 0
Let k(d) = -3 - 3*d**2 - 4*d - 6*d - 4. Let n = 24 - 10. Let c(j) = j**2 + 3*j + 2. Let u(v) = n*c(v) + 4*k(v). Determine m, given that u(m) = 0.
-1, 0
Let b(j) = j**3 + 7*j**2 + 7*j + 8. Let r be b(-6). Let h be -1 + 1 - (-8)/16. Find n, given that 1/2 - h*n**r + 0*n = 0.
-1, 1
Factor 3/5*r**2 + 24/5*r + 0.
3*r*(r + 8)/5
Suppose 0 = 4*d - 14*d - 0*d. Let d*q + 0*q**2 + 0 - 1/2*q**3 = 0. Calculate q.
0
Let w(m) be the third derivative of m**6/8 + 7*m**5/6 + 85*m**4/24 + 5*m**3 + 10*m**2. What is u in w(u) = 0?
-3, -1, -2/3
Let a(d) be the third derivative of 3*d**2 - 1/24*d**6 + 1/12*d**4 + 0 + 1/112*d**8 + 0*d - 1/210*d**7 + 1/60*d**5 + 0*d**3. Factor a(q).
q*(q - 1)**2*(q + 1)*(3*q + 2)
Let c(g) be the third derivative of -g**8/1120 - g**7/420 - g**6/720 - g**3/3 - 3*g**2. Let t(h) be the first derivative of c(h). Factor t(a).
-a**2*(a + 1)*(3*a + 1)/2
Factor 0 + 2*g**2 + 2/5*g**4 - 8/5*g**3 - 4/5*g.
2*g*(g - 2)*(g - 1)**2/5
Determine g, given that -2/7*g + 0 - 2/7*g**4 - 6/7*g**2 - 6/7*g**3 = 0.
-1, 0
Let q(p) be the second derivative of p**6/30 - p**4/12 + 15*p. Factor q(s).
s**2*(s - 1)*(s + 1)
Let a(i) be the third derivative of -i**6/120 + i**5/60 + 5*i**2. Factor a(x).
-x**2*(x - 1)
Solve -7/5*t**5 + 0 - 2/5*t + t**4 + 9/5*t**3 - t**2 = 0 for t.
-1, -2/7, 0, 1
Let t = 5 + -11. Let i(m) = -23*m**4 + 17. Let k(d) = -4*d**4 + 3. Let z(f) = t*i(f) + 34*k(f). Factor z(a).
2*a**4
Suppose -217 + 217 + 4*r**3 - 8*r**2 + 4*r = 0. What is r?
0, 1
Let h(k) = -k - 2. Let r be h(-5). Factor -2*x**r - 21*x + 23*x - 1 - 4*x**2 + 5.
-2*(x - 1)*(x + 1)*(x + 2)
Let w(a) be the second derivative of a**6/150 + a**5/100 - a**4/20 - a**3/6 - a**2/5 - 10*a. Factor w(v).
(v - 2)*(v + 1)**3/5
Let f(o) be the first derivative of 10 + 1/20*o**5 + 1/12*o**3 + 3/16*o**4 - 1/2*o - 3/8*o**2. Factor f(i).
(i - 1)*(i + 1)**2*(i + 2)/4
Let x be (-4)/30 - (-86)/645. Factor 0 + 1/4*z