 + 20*h**3 + 76/3*h**4 = 0. What is h?
-1, 0, 2/7
Let t(r) be the first derivative of 0*r**2 + 2 + 1/4*r**4 + 0*r - 2/3*r**3. Factor t(p).
p**2*(p - 2)
Let y(c) = 2*c**2 - 14*c - 15. Let l be y(8). Solve -3/4*n**2 + 0*n + 1/4*n**3 + l = 0.
-1, 2
Suppose 41*b = -0*b + 164. Find j such that 0 - 1/2*j**5 + 2*j**b - 2*j**2 + 3/2*j - j**3 = 0.
-1, 0, 1, 3
Suppose -a + 2 = -0. Find r such that 3*r**a + 2*r**2 - 3*r**3 + 2*r**3 - 3*r**2 - r = 0.
0, 1
Let x be (12/(-224))/(54/(-8)). Let p(t) be the second derivative of 1/90*t**6 + 0 + 0*t**3 - x*t**7 + 0*t**2 - 1/36*t**4 + 1/60*t**5 + 2*t. Factor p(m).
-m**2*(m - 1)**2*(m + 1)/3
Let l(w) be the second derivative of -8*w**2 + 2*w - 1/10*w**5 - w**4 + 0 - 4*w**3. Factor l(y).
-2*(y + 2)**3
Let h(q) = -25*q**3 + 2*q**2 + 3*q + 3. Let b(d) = 75*d**3 - 7*d**2 - 8*d - 8. Let w(n) = -3*b(n) - 8*h(n). Suppose w(j) = 0. What is j?
0, 1/5
Let h(z) be the second derivative of 0*z**3 + 0*z**4 + z + 0 + 1/240*z**5 - 1/2*z**2. Let g(c) be the first derivative of h(c). Factor g(t).
t**2/4
Find b, given that -1/3*b**2 - 2/3*b + 1/2*b**4 + 2/3*b**3 - 1/6 = 0.
-1, -1/3, 1
Suppose -5*u + 2*z - 178 = -2*z, 4*u - z = -138. Let s be (-174)/u + (-14)/119. What is i in 2/9*i - 2/9 - 2/9*i**4 + 2/9*i**s + 4/9*i**2 - 4/9*i**3 = 0?
-1, 1
Let o be ((-30)/(-25))/((-42)/(-70)). Factor -3/2*a - 1/2*a**o - 1.
-(a + 1)*(a + 2)/2
Let w(b) be the third derivative of 7*b**6/720 - b**5/48 - b**4/24 + 3*b**3/2 - 10*b**2. Let k(c) be the first derivative of w(c). Factor k(r).
(r - 1)*(7*r + 2)/2
Let c be (-2)/(35/378*-3). Suppose 114/5*h + 2*h**3 - 64/5*h**2 - c = 0. Calculate h.
2/5, 3
Suppose 4*k + 12 - 32 = 0. Let s(c) be the first derivative of 1/16*c**4 + 0*c + 0*c**3 + 0*c**2 - 1 - 1/20*c**k. Factor s(i).
-i**3*(i - 1)/4
Let r(b) be the second derivative of -4/9*b**2 + 1/18*b**4 + 0*b**3 - 1/90*b**5 + 0 - 3*b. Factor r(a).
-2*(a - 2)**2*(a + 1)/9
Suppose -14*k + 12*k + 8 = 0. Let o(b) be the third derivative of -1/54*b**k - 1/540*b**6 + 2*b**2 + 1/90*b**5 + 0*b + 0*b**3 + 0. Find v, given that o(v) = 0.
0, 1, 2
Let u(a) be the third derivative of 0 - 1/210*a**7 + 1/80*a**6 - 3*a**2 + 1/1344*a**8 + 0*a + 0*a**3 - 1/60*a**5 + 1/96*a**4. Factor u(h).
h*(h - 1)**4/4
Let q be 16/((-4)/(-1)) + 0. Let v(t) be the third derivative of -1/120*t**5 - t**2 + 0 + 1/48*t**q + 0*t + 0*t**3. Determine d so that v(d) = 0.
0, 1
Let g(y) be the third derivative of -1/60*y**6 + 0*y**3 + 1/12*y**5 - 4*y**2 + 0*y - 1/12*y**4 + 0. Let g(p) = 0. Calculate p.
0, 1/2, 2
Let s be (-9)/12 + (-2)/(-2). Suppose -18 = 7*r - 39. Suppose 0 + 0*w + 1/4*w**r + s*w**2 = 0. What is w?
-1, 0
Factor 0*m**2 - 16*m + 3*m**2 + 22*m + 0*m**2.
3*m*(m + 2)
Let j(r) be the first derivative of -r**5/2 - 15*r**4/8 + 5*r**3 + 35*r**2 + 60*r + 3. Find i, given that j(i) = 0.
-2, 3
Suppose 13*z - 15*z = 0. Factor 3/4*n**3 + z + 3/4*n**2 - 3/4*n - 3/4*n**4.
-3*n*(n - 1)**2*(n + 1)/4
Let s(p) be the third derivative of -p**8/224 + p**7/70 - p**6/80 - 6*p**2. Factor s(m).
-3*m**3*(m - 1)**2/2
Let u be 5 + 279/(-24) - -7. Determine s so that u*s**4 - 3/8 + 0*s**2 + 3/4*s**3 - 3/4*s = 0.
-1, 1
Let r(j) be the third derivative of j**7/840 - j**6/240 - j**4/4 + 10*j**2. Let s(d) be the second derivative of r(d). Factor s(c).
3*c*(c - 1)
Determine j, given that -3/4*j**3 + 3/4*j**2 - 3/4*j**4 + 0 + 3/4*j**5 + 0*j = 0.
-1, 0, 1
Let c(p) be the third derivative of 7*p**5/270 + p**4/54 - 2*p**2. Determine o so that c(o) = 0.
-2/7, 0
Determine m so that -4/5*m**3 + 0*m - 6*m**5 + 0*m**2 + 34/5*m**4 + 0 = 0.
0, 2/15, 1
Let j(n) be the first derivative of 0*n + 3/4*n**4 - n**3 + 2 + 6/5*n**5 + 0*n**2. Factor j(w).
3*w**2*(w + 1)*(2*w - 1)
What is b in -10*b - 2 + 16*b - 2 - 2*b**2 = 0?
1, 2
Let w(s) be the second derivative of 3*s**5/100 - s**4/5 + s**3/2 - 3*s**2/5 + 12*s. Factor w(i).
3*(i - 2)*(i - 1)**2/5
Let u be (-422)/(-3) + 1/3. Let h be 3*(-3 + u/45). Factor -2/5*f + h*f**4 + 6/5*f**2 - 6/5*f**3 + 0.
2*f*(f - 1)**3/5
Let d(m) be the first derivative of 2*m**3/21 + 2*m**2/7 + 2*m/7 + 38. Factor d(g).
2*(g + 1)**2/7
Solve 0*r + 2/7*r**4 + 0 + 8/7*r**2 - 8/7*r**3 = 0 for r.
0, 2
Let l(i) = 5*i**3 + 2*i**2 - 3. Suppose -3*k - 2 = -17. Let o(p) = -9*p**3 - 4*p**2 + 5. Let r(d) = k*l(d) + 3*o(d). Factor r(h).
-2*h**2*(h + 1)
Suppose -89 = -6*q - 11. Factor q - 7 - 2*r**2 - 2*r - 2.
-2*(r - 1)*(r + 2)
Let u = -11 + 17. Suppose 0 = m + m - u. Factor m*s**3 + s**3 - 6*s**3 + 2*s.
-2*s*(s - 1)*(s + 1)
Let 1 + 5*q + 3*q**4 - q**2 + 0 - 5*q**3 - 3 = 0. Calculate q.
-1, 2/3, 1
Let x be (-615)/(-20) + (-1)/(-4). Let q = 32 - x. Let -1/4*o**2 + 2*o - q - 5/4*o**3 + 1/4*o**4 + 1/4*o**5 = 0. What is o?
-2, 1
Determine p, given that -6/11 - 2/11*p**2 - 8/11*p = 0.
-3, -1
Let q(i) be the first derivative of i**9/24192 - i**7/3360 + i**5/960 + 2*i**3 + 1. Let z(m) be the third derivative of q(m). Factor z(w).
w*(w - 1)**2*(w + 1)**2/8
Let u(x) be the second derivative of 0*x**2 + 2/5*x**4 + 0 - 3/20*x**5 + 1/50*x**6 - 7*x - 2/5*x**3. Factor u(g).
3*g*(g - 2)**2*(g - 1)/5
Let r(c) be the second derivative of 2/3*c**3 + 0 - 2*c + 1/18*c**4 + 3*c**2. Find p such that r(p) = 0.
-3
Let r(x) be the first derivative of 3*x + 0*x**2 - 1/70*x**5 - 1/42*x**4 + 0*x**3 - 2. Let m(p) be the first derivative of r(p). Factor m(v).
-2*v**2*(v + 1)/7
Suppose 7 = 4*w - 9. Suppose -2*j + 2 - 1 - w - j**2 + 2 = 0. Calculate j.
-1
Solve c**3 + 304*c**4 - 303*c**4 - 1 + 1 = 0.
-1, 0
Let f(w) be the second derivative of 0*w**5 - 4*w + 1/4*w**4 - 1/10*w**6 + 0*w**3 + 0 + 0*w**2. Determine i, given that f(i) = 0.
-1, 0, 1
Let n(v) be the second derivative of v**4/42 - 4*v**3/21 + 4*v**2/7 + 4*v. Factor n(f).
2*(f - 2)**2/7
Let -2*l**2 + 4*l**2 - 6*l + 2 + 2 = 0. Calculate l.
1, 2
Let p be (-4)/6 + 0 - (-10)/15. Factor 0*x - 1/5*x**4 + p*x**2 + 0 + 3/5*x**3.
-x**3*(x - 3)/5
Let b(k) be the second derivative of 0 + 1/2*k**4 + 2*k + 2/3*k**3 + 1/30*k**6 + 1/2*k**2 + 1/5*k**5. Factor b(r).
(r + 1)**4
Let z(q) = -4*q**2 + 3*q**2 + 0*q - 2 - 6*q. Let b(r) = r. Let i = -15 - -21. Let x(w) = i*b(w) + 2*z(w). Let x(p) = 0. Calculate p.
-2, -1
Factor 3*m**3 + m**5 - 3*m**4 + 12*m**2 - 13*m**2 + 3*m**5 - 3*m**5.
m**2*(m - 1)**3
Factor 28 + 8*d + 4/7*d**2.
4*(d + 7)**2/7
Let y(f) be the first derivative of -7*f**3 - 27/4*f**4 - 3*f**5 + 1 - 3*f**2 - 1/2*f**6 + 0*f. Factor y(q).
-3*q*(q + 1)**3*(q + 2)
Let j(x) be the third derivative of 0*x + 1/270*x**5 + 1/108*x**4 + 0 - 1/540*x**6 + 0*x**3 + x**2 - 1/945*x**7. Find b such that j(b) = 0.
-1, 0, 1
Let g(f) be the first derivative of -2*f**3/3 - f**2 + 4*f - 11. Factor g(m).
-2*(m - 1)*(m + 2)
Let o be (13/(-26))/((-2)/((-16)/(-10))). Suppose 0*c + 0 - o*c**3 + 2/5*c**2 = 0. Calculate c.
0, 1
Let w = -1119/10 - -562/5. Factor -w*u**2 - 9/2 + 3*u.
-(u - 3)**2/2
Suppose 4*f - 4*r - 16 = 0, 11 = -2*f - 4*r + 1. Suppose -3*l + 3 = 0, 5*l = -h + 9 - f. Factor 3*u - 4*u**2 - 2 - 2*u + 6*u**2 - u**h.
-(u - 2)*(u - 1)*(u + 1)
Let w(g) be the second derivative of -2*g**6/15 + 9*g**5/20 + g**4/6 - 3*g**3/2 + g**2 + 16*g. Solve w(q) = 0 for q.
-1, 1/4, 1, 2
Let i be (8/(-10))/((-2)/15). Suppose 0 = 2*z - i*z + 12. Let 0 - 2/3*r**z - 2/3*r**4 + 0*r + 0*r**2 = 0. Calculate r.
-1, 0
Let c(m) = m. Let j(r) = -3*r**2 + 6*r - 6. Let i(a) = -15*c(a) + j(a). Factor i(d).
-3*(d + 1)*(d + 2)
Let d(x) be the first derivative of x**3 - 7 - 3/2*x**2 + 0*x. Factor d(h).
3*h*(h - 1)
Let b = -658/5 + 132. Let a = 1/15 - -1/3. Factor 2/5*s - 2/5*s**3 + b*s**2 - a.
-2*(s - 1)**2*(s + 1)/5
Suppose 3*z = -4*q + 5*q + 6, 0 = 4*q. Factor 2*u**5 + z*u**3 + 4*u**2 + 9*u - 11*u - 2*u**3 - 4*u**4.
2*u*(u - 1)**3*(u + 1)
Determine v so that 33/5*v**3 - 39/5*v**2 - 48/5*v + 3*v**5 - 12/5 + 51/5*v**4 = 0.
-2, -1, -2/5, 1
Let j = -232 + 235. Solve 3*q**2 - 15/4*q - 3/4*q**j + 3/2 = 0 for q.
1, 2
Let k(j) be the third derivative of j**7/945 + j**6/135 + j**5/45 + j**4/27 + j**3/27 + 4*j**2. Determine u so that k(u) = 0.
-1
Solve 0*k + 0 - 6/11*k**4 + 2/11*k**5 + 6/11*k**3 - 2/11*k**2 = 0.
0, 1
Suppose -4*u + 4*g = -32, 3*g + 4 = -2*u + g. Let v be (-2)/18*(10 - 16). Factor -2*m - v + 2/3*m**5 + 4/3*m**u - 4/3*m**2 + 2*m**4.
2*(m - 1)*(m + 1)**4/3
Let r(b) be the first derivative of -b**3/18 - b**2/4 - b/3 - 1. Factor r(x).
-(x + 1)