 Solve i(v) = 0.
-2, -2/3, 2/3
Let k(b) be the first derivative of -b**3/6 - b**2/2 - b/2 + 26. Solve k(n) = 0.
-1
Let l(t) = -2*t**2 + 5*t**3 - t - 3*t**2 + 6*t**2 + 1 - 4*t**3. Let m(o) = -10*o**3 - 12*o**2 + o - 1. Let u(q) = -2*l(q) - m(q). Factor u(x).
(x + 1)*(2*x + 1)*(4*x - 1)
Let p be (-12)/(-15)*(-15)/(-6). Suppose -2*u = -3*u + p. Factor 0*n + 0 - 1/4*n**4 - 1/4*n**3 + 0*n**u.
-n**3*(n + 1)/4
Factor -m**5 + m**3 + 8*m**4 - 8*m**4.
-m**3*(m - 1)*(m + 1)
Let v be (-3)/(-3)*1 - -1. Find i, given that -v*i**3 - 25*i**2 + 17*i**2 + 12*i**2 + 6*i**3 = 0.
-1, 0
Suppose 4*z = 12, 3*d - 8 = -4*z + 10. Find t such that 3*t**2 - t**d + 3*t**3 - 8*t**2 = 0.
0, 2
Suppose -4 - 6 = -5*i. Factor -2*b**2 - 4*b - 3*b**2 - 3*b**i + 6*b**2.
-2*b*(b + 2)
Determine o so that -3/5*o**3 - 3*o + 12/5*o**2 + 6/5 = 0.
1, 2
Let c = -98 + 197/2. Let b(k) be the first derivative of 4 - c*k**4 + 4*k**3 - 12*k**2 + 16*k. Factor b(i).
-2*(i - 2)**3
Let q(o) be the first derivative of o**4/2 - 2*o**3 + 2*o**2 - 4. Factor q(v).
2*v*(v - 2)*(v - 1)
Let y(k) = -2*k - 10. Let m be y(-7). Let u(s) = s**2 + s - 1. Let t(d) = 3*d**2 + 5*d - 2. Let z(w) = m*u(w) - t(w). What is o in z(o) = 0?
-1, 2
Let q(u) be the third derivative of -25*u**8/112 + 15*u**7/14 - 71*u**6/40 + 13*u**5/20 + 3*u**4/2 - 2*u**3 + 2*u**2 - u. Suppose q(w) = 0. What is w?
-2/5, 2/5, 1
Let p be 2 + 350/(-91) + 2. Find u such that -p*u**2 + 4/13*u - 2/13 = 0.
1
Suppose 2*l - 3 = 1. Let t = 6 + -3. Solve -5*r**l + 8*r - 4 - 6 + t*r**2 + 2 = 0.
2
Suppose -2/5*t**2 + 0 + 2/5*t = 0. What is t?
0, 1
Let n(f) = -7*f**2 + 6 - 5*f + 6*f**4 + 0 - 10*f**4. Let c(m) = -m**4 - m**2 - m + 1. Let u(s) = 5*c(s) - n(s). Factor u(a).
-(a - 1)**2*(a + 1)**2
Let i = -12 + 8. Let v be (-14)/i - 15/10. Determine f, given that 0*f - v*f**3 - 4*f**2 + 3*f - 5*f = 0.
-1, 0
Suppose -p - 18 = -3*p. Suppose 4*m = m + p. Factor z + 0*z**4 + 0*z**2 + z**4 + 1 + z**5 - 2*z**m - 2*z**2.
(z - 1)**2*(z + 1)**3
Let a be 2/5 + (-22)/(-55). Let z be (4/(-40))/(1/(-4)). Find w such that -a*w + 2/5*w**2 + z = 0.
1
Let 0*h**2 + 0*h + 2/5*h**5 + 0 + 2*h**3 + 12/5*h**4 = 0. Calculate h.
-5, -1, 0
Let z(i) be the second derivative of 2/45*i**6 - 1/3*i**3 + 8/27*i**4 - 1/189*i**7 + 2/9*i**2 - 7/45*i**5 + 0 - i. Solve z(l) = 0.
1, 2
Suppose 0 = 4*z + 42*g - 39*g - 11, -4*g = -4. What is n in -5/4*n**2 + z*n - 1 + 1/4*n**3 = 0?
1, 2
Let g(w) be the first derivative of -7 - 2/7*w + 8/7*w**2 - 32/21*w**3. Suppose g(d) = 0. What is d?
1/4
Let t(u) be the second derivative of 0 + 1/2*u**2 + 1/12*u**3 - 1/40*u**5 + 10*u - 1/8*u**4 + 1/60*u**6. Factor t(m).
(m - 2)*(m - 1)*(m + 1)**2/2
Let i be 4 - 2 - (-1)/1. Let o(n) be the second derivative of -1/4*n**2 - 1/24*n**4 - n - 1/6*n**i + 0. Suppose o(h) = 0. What is h?
-1
Suppose 4*r + 1 = 9. Solve r - 4/3*h + 2/9*h**2 = 0 for h.
3
Let a = 0 - -3. Determine b so that a*b**2 - 4*b**2 + 0*b**2 - 3*b + b = 0.
-2, 0
Let i(p) be the first derivative of 2*p**5/45 - 2*p**4/9 + 10*p**3/27 - 2*p**2/9 - 5. Factor i(g).
2*g*(g - 2)*(g - 1)**2/9
Let u(x) be the second derivative of -1/6*x**3 + 0 + 0*x**2 - 1/8*x**4 - 1/40*x**5 + 5*x. Determine k so that u(k) = 0.
-2, -1, 0
Let x = 523/7 - 24233/322. Let g = -1/23 - x. Suppose -g*u**2 + 1/4*u + 1/4*u**3 + 0 = 0. What is u?
0, 1
Suppose 4*v + o - 33 = 0, -v - o + 4*o - 8 = 0. Let h(d) = -d**3 - 2*d**2 - 2*d - 3. Let x be h(-2). Let 2 + 3*j**2 - v - 3*j + x - 2 = 0. Calculate j.
-1, 2
Let a(q) = 15*q**2 + 39*q + 6. Let t(s) = -7*s**2 - 20*s - 3. Let u = -4 + 9. Let b(y) = u*a(y) + 9*t(y). Suppose b(k) = 0. What is k?
-1, -1/4
Let v(f) be the first derivative of 2/5*f**4 + 2/25*f**5 + 0*f**2 + 8/15*f**3 + 2 + 0*f. Factor v(j).
2*j**2*(j + 2)**2/5
Suppose -z = r - 29, -4*r - 63 = -2*z - 11. Let k = z - 139/5. Factor 0*m + 2/5*m**2 - k*m**3 + 0.
-m**2*(m - 2)/5
Suppose 48 = -4*i + 8. Let l = -7 - i. Factor 3*q + q**4 - l*q**3 - 5*q + 6*q.
q*(q - 2)**2*(q + 1)
Let k = -5/6 + 59/42. Factor -2/7 - 2/7*c**2 + k*c.
-2*(c - 1)**2/7
Let l(q) = -9*q**4 + 5*q**3 + 9*q**2 + 5*q. Let w(d) = 22*d**4 - 12*d**3 - 22*d**2 - 12*d. Let m(p) = 12*l(p) + 5*w(p). What is i in m(i) = 0?
-1, 0, 1
Let s(g) = -2*g**5 + 6*g**4 + 4*g**3 - 4*g**2 - 2. Let t(q) = 10*q**5 - 31*q**4 - 21*q**3 + 20*q**2 + 11. Let b(z) = -11*s(z) - 2*t(z). Factor b(w).
2*w**2*(w - 2)*(w - 1)*(w + 1)
Suppose 2*d - d - 4 = 0. Let h be d/(-6)*(-15)/5. Factor 0 + 2/9*v + 2/9*v**h.
2*v*(v + 1)/9
Let n(c) be the second derivative of c**7/420 - c**5/60 - c**3/6 - 3*c. Let z(x) be the second derivative of n(x). Factor z(p).
2*p*(p - 1)*(p + 1)
Factor 4*l**5 + 8*l**2 - 6*l**4 - 4*l**3 + 2*l**3 - 2*l**3 - 2*l**4.
4*l**2*(l - 2)*(l - 1)*(l + 1)
Let z(f) be the third derivative of 1/8*f**4 - 3*f**2 + 0*f + 0 - 1/1344*f**8 - 1/140*f**7 - 1/120*f**5 - 11/480*f**6 + 1/3*f**3. Determine r so that z(r) = 0.
-2, -1, 1
Let a(r) be the first derivative of -3*r**4/4 - 3*r**3 - 3*r**2 + 4. Let a(h) = 0. What is h?
-2, -1, 0
Let s be 1 - -24*(-6)/27. Let l = s + 29/6. Determine a, given that a**3 + 0*a - 1/2*a**2 - l*a**4 + 0 = 0.
0, 1
Let f(w) be the first derivative of w**8/1008 + w**7/315 + w**6/360 - w**2/2 + 2. Let x(t) be the second derivative of f(t). Let x(v) = 0. What is v?
-1, 0
Factor 8*h - 11 - 3*h**2 + 4*h**2 + h**2 + 19.
2*(h + 2)**2
Let r(l) be the third derivative of -l**8/2016 + l**7/420 + l**6/120 - l**5/36 - 7*l**4/48 - l**3/4 + l**2. Factor r(t).
-(t - 3)**2*(t + 1)**3/6
Let k(g) be the second derivative of 3*g**6/5 + g**5/5 - 9*g**4/2 - 8*g**3 - 4*g**2 + 41*g. Suppose k(a) = 0. Calculate a.
-1, -2/9, 2
Let y(f) = f - 12. Let v be y(9). Let q = v - -5. Factor -6*u**4 + 3*u**2 + 8*u**4 + q - 7*u**2.
2*(u - 1)**2*(u + 1)**2
Let r(i) be the third derivative of i**7/2415 + i**6/276 - 31*i**2. Factor r(z).
2*z**3*(z + 5)/23
Let p(u) be the third derivative of 0*u**6 + 1/1050*u**7 - 1/1680*u**8 + 0*u**3 + 0*u**5 + 0 + 0*u**4 + 0*u - 3*u**2. Solve p(l) = 0 for l.
0, 1
Let g = -17849/42 + 425. Let n(s) be the second derivative of 1/21*s**3 - 2*s + 0*s**2 + 0 + g*s**4. Find w, given that n(w) = 0.
-1, 0
Let n(b) be the second derivative of b**6/30 + b**5/10 - b. Factor n(f).
f**3*(f + 2)
Let k(p) be the third derivative of 7*p**6/960 + p**5/96 - p**4/96 + 7*p**2. Factor k(d).
d*(d + 1)*(7*d - 2)/8
Let c = 5722/4025 + 4/575. Suppose 2*o**4 + 0 + 0*o - c*o**3 - 4/7*o**2 = 0. What is o?
-2/7, 0, 1
Let x(n) = n**3 - 7*n**2 + 7*n - 2. Let l be x(6). Let w(g) = -g + 9. Let y be w(l). Factor y*v**2 + 3*v - 2 - 4*v**2 - 2*v.
(v - 1)*(v + 2)
Let i be 5 + -2 + -2 + 1. Let g(z) be the first derivative of 3/2*z**i - 3/5*z**5 + z**3 + 0*z + 3 - 3/4*z**4. Determine x so that g(x) = 0.
-1, 0, 1
Let n(f) = -f**2 + f + 1. Let q(u) = -5*u**3 - 5*u**2 - 5*u - 5. Let k(v) = -5*n(v) - q(v). Factor k(x).
5*x**2*(x + 2)
Determine g, given that 559 - 39*g - 15*g**3 - 51*g**2 - 565 + 3*g**2 = 0.
-2, -1, -1/5
Factor 2/17*o**5 - 16/17*o**4 + 0*o + 0 + 32/17*o**3 + 0*o**2.
2*o**3*(o - 4)**2/17
Let x be 6/(-200)*-10 - (-4)/(-30). Determine w so that -1/6*w**4 - 1/2*w**3 - x*w + 0 - 1/2*w**2 = 0.
-1, 0
Let i(l) = -7*l - 3. Let w be i(-5). Factor 10*f**3 + 2*f + w*f**2 + 0*f - 24*f**2 + 4*f**4.
2*f*(f + 1)**2*(2*f + 1)
Let 2/7*r + 1/7 + 1/7*r**2 = 0. Calculate r.
-1
Let z(l) be the third derivative of l**6/120 + l**5/15 + 5*l**4/24 + l**3/3 + 19*l**2. Factor z(j).
(j + 1)**2*(j + 2)
Suppose -v + 0*v = -5. Suppose 4*b + 3 - 1 = -v*o, -4*o + 14 = -2*b. Suppose -o*m**4 + m**4 - 2*m**2 + 3*m**4 = 0. Calculate m.
-1, 0, 1
Let v(a) be the third derivative of -a**8/784 - a**7/490 + a**6/140 + a**5/70 - a**4/56 - a**3/14 + a**2. Find d such that v(d) = 0.
-1, 1
Let u be 0/(-1) + (-1208)/(-1200) - 1. Let r(a) be the third derivative of 0 - 2*a**2 + u*a**5 + 0*a**3 + 0*a - 1/60*a**4. Suppose r(x) = 0. What is x?
0, 1
Let r(g) = 21*g**3 + 162*g**2 + 315*g + 189. Let l(u) = -3*u**3 - 23*u**2 - 45*u - 27. Let c(o) = -15*l(o) - 2*r(o). Factor c(i).
3*(i + 1)*(i + 3)**2
Let 18*o**4 + 16*o**4 - 32*o**4 - 2*o**5 = 0. What is o?
0, 1
Let g(n) = n**3 + 4*n**2 + 4. Let x be g(-4). Factor -6*k**3 - k**5 - x*k**2 + k**4 - 5*k**4 + 1 - k - 1.
-k*(k + 1)**4
Let b(y) = -y**4 - y**2 - y. Let m(p) = p**5 + 6*p**4 + 2*p**3 + p**2 - 1. Let o(g) = -3*b(g) - m(g). Let o(u) = 0. Calculate