 derivative of -1/20*r**6 - 3*r**2 + 0*r - 1/6*r**5 + 0*r**3 + 1/42*r**8 + 1/21*r**7 - 1/12*r**4 + 0. Solve j(b) = 0.
-1, -1/4, 0, 1
Let h be (-12)/(-2) + 3 + -6. Let n be (h - 0 - 2)/3. Let 1/3 - 2/3*s + n*s**2 = 0. Calculate s.
1
Let w be (-1)/(-2)*(12 - 6). Let b be ((-8)/10)/((-2)/5). Determine i so that -3*i**w + 2 + b*i - 3*i**4 + 2*i**4 - i**2 + i = 0.
-2, -1, 1
Let k(g) be the third derivative of g**7/1365 + g**6/156 + 3*g**5/130 + 7*g**4/156 + 2*g**3/39 - 18*g**2. Factor k(m).
2*(m + 1)**3*(m + 2)/13
Let w(v) = v - 3. Let g be w(3). Suppose q = -g*q. Factor q + 1/5*m + 0*m**2 - 1/5*m**3.
-m*(m - 1)*(m + 1)/5
Let z = -3/7 + 5/7. Suppose p + 0 = 2*c - 6, 0 = 2*p - c. Factor 0 - z*v + 2/7*v**p.
2*v*(v - 1)/7
Let c(s) be the first derivative of -s**4/2 + s**3 + 7*s**2/2 + 2*s + 2. Let r(x) = 2*x**3 - 4*x**2 - 8*x - 2. Let q(d) = 6*c(d) + 5*r(d). Factor q(z).
-2*(z - 1)*(z + 1)**2
Let t be (-8)/(-5)*55/154. Let k be (-2 + 0)/(1 - 8). Factor -k*s**2 + 0 + t*s - 2/7*s**3.
-2*s*(s - 1)*(s + 2)/7
Let r = 6 + -3. Suppose 3 = r*v - 6. Find w, given that -21*w - w**2 + 21*w + w**v = 0.
0, 1
Find h such that 8/5*h - 2/5*h**3 - 8/5 + 2/5*h**2 = 0.
-2, 1, 2
Suppose 0 = o - 5*p, 4*o - p = 2*o. Suppose o*v - 8 = -4*v. Factor -1/4*t**3 + 1/4*t + 0*t**v + 0.
-t*(t - 1)*(t + 1)/4
Let g(n) be the second derivative of -n**5/150 + n**4/20 - 2*n**3/15 - 2*n**2 + 4*n. Let v(h) be the first derivative of g(h). What is c in v(c) = 0?
1, 2
Let v(l) be the third derivative of l**8/280 - l**7/280 - l**6/120 - l**3/6 + l**2. Let k(y) be the first derivative of v(y). Factor k(c).
3*c**2*(c - 1)*(2*c + 1)
Let r(z) be the second derivative of z**7/840 + z**6/120 + z**5/40 + z**4/24 - z**3/2 + 2*z. Let n(i) be the second derivative of r(i). Factor n(l).
(l + 1)**3
Let a = -312 - -1562/5. Factor 2/5*d**2 + 0 + a*d**3 - 4/5*d.
2*d*(d - 1)*(d + 2)/5
Let g(j) = -4*j**5 - 7*j**4 + j**3 - 4*j + 7. Let a(w) = -3*w**5 - 5*w**4 + w**3 - 3*w + 5. Let q(z) = 7*a(z) - 5*g(z). Determine f so that q(f) = 0.
-1, 0, 1
Let d(w) = -4*w**3 + 2*w**2 - 6*w - 2. Let j(x) = x**3 - x**2 + x + 1. Let o(v) = d(v) + 5*j(v). Factor o(r).
(r - 3)*(r - 1)*(r + 1)
Let h(u) be the first derivative of 0*u**2 - 1/4*u**3 + 7 + 0*u. Find o, given that h(o) = 0.
0
Let c be (-4)/(-3)*(0 - -3). Let l(q) be the first derivative of -5 + 0*q**3 + 1/10*q**c - 4/5*q - 3/5*q**2. What is t in l(t) = 0?
-1, 2
Let j(a) be the first derivative of -2*a**3/27 - a**2/9 + 4*a/9 + 3. Solve j(f) = 0.
-2, 1
Let r(h) = 13*h**4 - 6*h**3 + 13*h**2 + 6*h - 4. Let n(j) = -7*j**4 + 3*j**3 - 7*j**2 - 3*j + 2. Let b(q) = 11*n(q) + 6*r(q). Factor b(x).
(x - 2)*(x - 1)**2*(x + 1)
Suppose 14*m - 10*m - 20 = 0. Let i be 12/9 - (-2)/(-2). Factor 2/3*a**2 + i*a**m + 2/3*a**3 + 1/3 - a**4 - a.
(a - 1)**4*(a + 1)/3
Let s(i) = 3*i**2 - 48*i + 127. Let f(n) = -65*n**2 + 1055*n - 2795. Let l(w) = -2*f(w) - 45*s(w). Factor l(d).
-5*(d - 5)**2
Let h(t) = -t**3 - 3*t**2 - 2*t - 4. Let l be h(-3). Solve 8 - 8 + v**l - 2*v = 0 for v.
0, 2
Let c be ((-24)/216)/((-2)/12). Find r, given that 0 - 8/3*r**2 - 8/3*r - c*r**3 = 0.
-2, 0
Let f(n) be the second derivative of -n**8/2520 - 4*n**7/1575 - n**6/180 - n**5/225 - n**2 + 6*n. Let t(c) be the first derivative of f(c). Factor t(a).
-2*a**2*(a + 1)**2*(a + 2)/15
Let h(z) be the second derivative of -z**4/30 + 2*z**3/5 - 9*z**2/5 + z. Solve h(j) = 0.
3
Let j(l) be the second derivative of l**4/4 - 3*l**2/2 - 25*l. Factor j(z).
3*(z - 1)*(z + 1)
Let m be (1 - -1) + (-17)/120*14. Let h(l) be the second derivative of 2*l + 1/15*l**3 + 0 + 1/10*l**2 + m*l**4. Factor h(f).
(f + 1)**2/5
Let i(u) be the second derivative of u**6/165 - 2*u**5/55 + u**4/11 - 4*u**3/33 + u**2/11 + 35*u. Let i(r) = 0. Calculate r.
1
Let a(w) be the first derivative of 2/5*w + 2 + 7/10*w**2 - 3/5*w**3. Determine b, given that a(b) = 0.
-2/9, 1
Let p(a) = a - 2. Let y = 15 - 11. Let i be p(y). Solve 2*g**4 + 3*g**3 + 2*g**5 - 5*g**3 - 2*g**i + 0*g**3 = 0 for g.
-1, 0, 1
Let r = -185/234 - -11/13. Let a(c) be the second derivative of -r*c**4 + 0 + 2*c + 2/9*c**3 - 1/3*c**2. Factor a(o).
-2*(o - 1)**2/3
Let r(d) be the second derivative of -1/12*d**3 + 1/4*d**2 - 1/12*d**4 + 1/20*d**5 + 1/60*d**6 - d - 1/84*d**7 + 0. Factor r(z).
-(z - 1)**3*(z + 1)**2/2
Let l(o) = -3*o**4 - 7*o**3 - 4*o**2 - 5. Let n(x) = -3*x**4 - 6*x**3 - 3*x**2 - 6. Let m(r) = 6*l(r) - 5*n(r). Factor m(t).
-3*t**2*(t + 1)*(t + 3)
Factor -8/3*x + 2 + 2/3*x**2.
2*(x - 3)*(x - 1)/3
Let q(l) be the first derivative of -2 + 0*l**2 + 8*l - 2*l**3 + 1/2*l**4. Factor q(j).
2*(j - 2)**2*(j + 1)
Factor 7*b**4 - 4*b**2 - 3 - 3*b**4 + 3.
4*b**2*(b - 1)*(b + 1)
Let x(y) = -3*y - 1. Let j be x(-1). Suppose -8 = -0*f - j*f. Let 6*s**2 - 4*s - f*s - 7 + 4*s**3 - 1 - 2*s**4 = 0. Calculate s.
-1, 2
Factor 2/5*a**3 + 0*a + 8/5 - 6/5*a**2.
2*(a - 2)**2*(a + 1)/5
Let a(j) be the first derivative of j**6/300 + 2*j**5/75 + j**4/12 + 2*j**3/15 + 9*j**2/2 + 4. Let o(i) be the second derivative of a(i). Solve o(q) = 0.
-2, -1
Let a(k) be the second derivative of -1/9*k**4 - 2/9*k**3 + 0*k**2 + 1/20*k**5 - 2*k + 0. Factor a(l).
l*(l - 2)*(3*l + 2)/3
What is o in -8/3*o**2 + 2/3*o**4 - 2/3*o**3 - 2/3 + 1/3*o**5 - 7/3*o = 0?
-1, 2
Suppose 3*a - 3*a**2 + 0 + 3/4*a**3 = 0. Calculate a.
0, 2
Let r(o) be the third derivative of 2*o**7/21 - o**6/15 - o**5/3 + o**4/3 + 7*o**2. Solve r(n) = 0.
-1, 0, 2/5, 1
Let w(d) be the second derivative of d**7/3780 - d**6/540 + d**5/180 - d**4/6 - 4*d. Let q(r) be the third derivative of w(r). Factor q(y).
2*(y - 1)**2/3
Let k be ((-4)/12)/((-2)/12). Solve 0*x**2 - 3*x**2 + 0*x**k - 3 - 3 + 9*x = 0 for x.
1, 2
Suppose 4*v**3 - 1 + 8*v**2 + 4*v - 7 + 8 = 0. What is v?
-1, 0
Let d(o) be the first derivative of 0*o - 1/4*o**2 + 5 + 7/12*o**3. Factor d(z).
z*(7*z - 2)/4
Let i(m) be the first derivative of 7/12*m**3 + 0*m - 5 + 1/4*m**2. Solve i(o) = 0.
-2/7, 0
Let y(g) be the first derivative of -2/3*g**2 - 3 - 2/27*g**3 - 2*g. What is l in y(l) = 0?
-3
Factor -1/7*v**4 + 5/7*v**3 - 2/7 + v - 9/7*v**2.
-(v - 2)*(v - 1)**3/7
Let n(x) be the first derivative of -x**4/4 + x**3 - x - 4. Let d(a) be the first derivative of n(a). Factor d(v).
-3*v*(v - 2)
Let m = 21 + -19. Let x = 2 + 2. Find l, given that 3*l**4 + m*l**4 - 4*l**4 - 3*l**x - 2*l**5 + 4*l**3 = 0.
-2, 0, 1
Let u be -2 + (-5)/(-1) + 3. Let s be (-4 + -2)*(-3)/u. What is q in 81/4*q**4 - 63/2*q**s + 7*q + 1 + 13/4*q**2 = 0?
-2/9, 1
Let g be 2/2 + 303/(-301). Let u = g - -1509/602. Factor 1/2*h - h**4 - 2*h**2 + 0 + u*h**3.
-h*(h - 1)**2*(2*h - 1)/2
Let q be ((-54)/(-45))/(42/20). Solve 0*z + 0 - 6/7*z**5 + q*z**2 - 8/7*z**4 + 2/7*z**3 = 0 for z.
-1, 0, 2/3
Let m(k) = k**3 - 4*k**2 + 2*k - 6. Let o be m(4). Factor 2/3*a + 1/3*a**o - 1/3 - 2/3*a**3.
-(a - 1)*(a + 1)*(2*a - 1)/3
Let y = 0 - -2. Suppose 4*p - y = 14. Factor 0*d**3 - d**4 + 2*d**3 - 6*d**p - d**4.
-2*d**3*(4*d - 1)
Let s(f) be the second derivative of -f**8/6720 - f**7/3360 + f**6/720 - f**3/2 + f. Let g(r) be the second derivative of s(r). Factor g(j).
-j**2*(j - 1)*(j + 2)/4
Suppose -11*g**2 - 16*g + 0*g**3 + 3*g**2 - 4*g**3 + 12*g = 0. What is g?
-1, 0
Let b(g) be the third derivative of -g**8/10080 - g**7/15120 - 7*g**4/24 + 6*g**2. Let v(k) be the second derivative of b(k). Factor v(x).
-x**2*(4*x + 1)/6
Let y(r) be the third derivative of r**8/1680 + 4*r**7/525 + 11*r**6/300 + 7*r**5/75 + 17*r**4/120 + 2*r**3/15 - 18*r**2. Let y(s) = 0. Calculate s.
-4, -1
Let u(l) = -l**3 + 4*l**2 - 2*l - 2. Let b be u(2). Determine v, given that -2*v + v**b - v + 2*v**2 = 0.
0, 1
Let m(b) be the first derivative of 6 - 4/9*b**6 - 4/3*b**2 - 2/15*b**5 + 4/9*b**3 - 2/3*b + 4/3*b**4. What is z in m(z) = 0?
-1, -1/4, 1
Let y = 3 - 0. Find f such that -y*f + 6*f**2 - 4 + 11*f + f + f = 0.
-2, 1/3
Let k(d) be the third derivative of 1/336*d**8 + 0*d**3 + 0 - 1/30*d**5 + 1/24*d**6 + 0*d**4 + 0*d - 2/105*d**7 + 3*d**2. Let k(p) = 0. Calculate p.
0, 1, 2
Let 2/5 - 8/5*d + 6/5*d**2 = 0. What is d?
1/3, 1
Factor 0 - 1/3*k**3 - 16/3*k - 8/3*k**2.
-k*(k + 4)**2/3
Let s = 50 + -45. Find j, given that j - 2*j**3 + 2/3*j**2 - 1/3 + j**s - 1/3*j**4 = 0.
-1, 1/3, 1
Let j(b) be the second derivative of 10/3*b**4 + 37/10*b**5 + 0*b**2 + 0 + 3/7*b**7 + 2*b + 2*b**6 + 4/