(h) = 0.
-3, -1
Let r(t) be the first derivative of 2 + 0*t + 0*t**2 + 1/7*t**3. Solve r(n) = 0.
0
Let a(f) be the first derivative of f**5/100 + f**4/30 - 2*f + 1. Let h(i) be the first derivative of a(i). Let h(r) = 0. Calculate r.
-2, 0
Let c(k) be the second derivative of -k**8/6720 + k**6/720 - k**4/96 + 4*k**3/3 + 4*k. Let o(a) be the second derivative of c(a). Factor o(z).
-(z - 1)**2*(z + 1)**2/4
Let w(g) be the first derivative of -4*g**5/45 - 2*g**4/3 + 44*g**3/27 + 40*g**2/3 - 400*g/9 + 51. Determine r, given that w(r) = 0.
-5, 2
Factor -28*t + 3*t**4 - 6*t**3 + 40*t - 3*t**2 + 0*t**2 - 6*t**2 + 12.
3*(t - 2)**2*(t + 1)**2
Solve -1/3 + 0*u**2 + 1/3*u**4 - 2/3*u + 2/3*u**3 = 0 for u.
-1, 1
Let h = -90/7 - -464/35. Factor 16/5*w**3 + h*w**4 + 32/5 + 48/5*w**2 + 64/5*w.
2*(w + 2)**4/5
Let d(j) be the third derivative of -j**6/300 + j**4/20 + 2*j**3/15 + 7*j**2. Determine q so that d(q) = 0.
-1, 2
Let o = -790/3 + 1727/6. Let p = o - 23. Factor -3/4*q**2 + 0 + p*q.
-3*q*(q - 2)/4
Suppose s**3 + 8*s**2 - 13*s**2 + 7*s**2 + s = 0. Calculate s.
-1, 0
Let o(c) be the third derivative of -c**9/60480 + c**8/5040 - c**7/1008 + c**6/360 + c**5/15 - 3*c**2. Let b(w) be the third derivative of o(w). Factor b(f).
-(f - 2)*(f - 1)**2
Let l be (34 - -1)/(5/(-15)). Let i be l/(-25) + 2/(-10). Determine r so that 3/2*r**3 + 1/2*r**5 + 0 - 3/2*r**i + 0*r - 1/2*r**2 = 0.
0, 1
Let d(t) be the third derivative of t**6/1080 - t**4/18 - 7*t**3/6 - t**2. Let q(o) be the first derivative of d(o). Factor q(b).
(b - 2)*(b + 2)/3
Factor -2/15*f**2 + 4/15*f - 2/15.
-2*(f - 1)**2/15
Determine w so that -w + 3/2*w**4 + 1/2*w**5 + 0 - 3/2*w**2 + 1/2*w**3 = 0.
-2, -1, 0, 1
Let x(b) be the first derivative of 0*b**2 + 0*b - 2/5*b**5 + 4 + 2/3*b**6 - 1/2*b**4 + 0*b**3. Find z, given that x(z) = 0.
-1/2, 0, 1
Let z = 146/495 + -3/11. Let a(n) be the second derivative of n + 0*n**3 - 1/30*n**5 + z*n**6 - 1/18*n**4 + 1/63*n**7 + 0 + 0*n**2. Solve a(m) = 0 for m.
-1, 0, 1
Find w, given that -9/5*w - 3/5*w**3 - 12/5*w**2 + 0 = 0.
-3, -1, 0
Factor 0*o**3 - 2/11*o**5 - 4/11*o**2 + 0 + 4/11*o**4 + 2/11*o.
-2*o*(o - 1)**3*(o + 1)/11
Let u(a) be the third derivative of 0*a - 3*a**2 - 1/945*a**7 + 0*a**6 + 0*a**5 + 1/1512*a**8 + 0 + 0*a**3 + 0*a**4. Factor u(q).
2*q**4*(q - 1)/9
Let o be ((-68)/(-119))/((-2)/(-7)). Let s be ((-2)/(-2))/((-2)/(-4)). Factor 2*p - o*p**s - p**2 + p**2.
-2*p*(p - 1)
Let d(n) be the first derivative of 1/360*n**6 + 1/3*n**3 + 0*n - 1/120*n**5 - 1 + 0*n**4 + 0*n**2. Let z(b) be the third derivative of d(b). Factor z(k).
k*(k - 1)
Suppose -2*z + 7 + 1 = 0. Suppose -4*q = -2*b - 20, -z*q = -5*b - 0*q - 20. What is l in 0 + 0*l**2 + 1/3*l**4 - 1/3*l**3 + b*l = 0?
0, 1
What is r in -12*r - 21*r**2 - 7*r**2 - 4*r**4 + 0*r**4 - 20*r**3 = 0?
-3, -1, 0
Let b = -34 - -39. Let k(t) be the third derivative of 1/30*t**b + 1/3*t**3 + 0 - 3*t**2 + 1/6*t**4 + 0*t. Suppose k(g) = 0. Calculate g.
-1
Let s(p) = -p**3 - 6*p**2 - 35*p + 30. Let l(o) = -5*o**2 - 35*o + 30. Let j(a) = -6*l(a) + 5*s(a). Factor j(v).
-5*(v - 2)*(v - 1)*(v + 3)
Let t(y) = y**2 + 3*y - 18. Let u be t(-6). Factor -4/5*k**3 + u*k + 0*k**2 + 2/5*k**4 + 0.
2*k**3*(k - 2)/5
Factor 4*h**3 - 2*h**3 + 2*h**2 - 2*h + 0 - 4 + 2*h**2.
2*(h - 1)*(h + 1)*(h + 2)
Factor 8/7*z - 2/7*z**2 + 0.
-2*z*(z - 4)/7
Let u(z) = -10*z**5 + 35*z**4 - 37*z**3 + 13*z**2 + 7*z - 8. Let k(n) = n**3 + n**2 - n - 1. Let i(l) = 3*k(l) - u(l). Factor i(j).
5*(j - 1)**4*(2*j + 1)
Suppose 0 = n - 3*x - 2, -14*n - 5*x = -15*n. Suppose -7/2*z**n - 11/3*z**4 + 0*z + 1/6*z**3 + 0 + 1/3*z**2 = 0. Calculate z.
-1, -1/3, 0, 2/7
Suppose 6*k**2 + 3/8*k**5 + 9/4*k**4 + 3/4 + 21/4*k**3 + 27/8*k = 0. What is k?
-2, -1
Let r(p) be the third derivative of -p**6/50 + 7*p**5/100 + 7*p**4/20 + 3*p**3/10 + 11*p**2. What is t in r(t) = 0?
-1, -1/4, 3
Let i(b) be the third derivative of -1/12*b**4 - 1/90*b**5 - 2*b**2 + 0 + 0*b**3 + 0*b. Factor i(q).
-2*q*(q + 3)/3
Let h(b) be the first derivative of -7/6*b**4 - 3 + 0*b**2 + 0*b - 4/9*b**3. Factor h(l).
-2*l**2*(7*l + 2)/3
Let r be 2/(-8) + 213/(-12). Let i be 22/12 - 3/r. Factor 6*n + i*n**2 - 2*n - 2*n.
2*n*(n + 1)
Let x(s) be the third derivative of 0 - 2/5*s**5 - 2/9*s**4 + 4*s**2 - 1/45*s**7 + 0*s**3 + 0*s - 1/6*s**6. Factor x(o).
-2*o*(o + 2)**2*(7*o + 2)/3
Let a(x) be the third derivative of x**2 - 4/3*x**3 - 1/30*x**5 + 1/3*x**4 + 0 + 0*x. Factor a(k).
-2*(k - 2)**2
Let k(l) be the first derivative of 2*l**5/85 - l**4/34 - 4*l**3/51 + 7. Solve k(d) = 0 for d.
-1, 0, 2
Suppose -w = -0*w - 3, -5*r = -w - 12. Let h be r/9 + 1/3. Factor 2/3*i**3 - 1/3*i**4 + 0*i**2 + 1/3 - h*i.
-(i - 1)**3*(i + 1)/3
Find z, given that 10 - 298*z**2 + 104*z - 268*z**3 + 30 - 42*z**4 - 136*z = 0.
-5, -1, -2/3, 2/7
Suppose -4*d + 24 = -0*d. Let q be 3 - (d/(-9) - -1). Factor 4/9 + 22/9*f + q*f**2.
2*(3*f + 2)*(4*f + 1)/9
Let i = -34 + 40. Let s(w) be the second derivative of -w + 1/15*w**i + 0*w**2 + 1/3*w**3 - 1/10*w**5 - 1/6*w**4 + 0. Let s(h) = 0. What is h?
-1, 0, 1
Let h(b) be the first derivative of -b**5/10 + b**4/4 - b**2/2 + b/2 + 6. Factor h(t).
-(t - 1)**3*(t + 1)/2
Suppose 16*r - 11*r - 10 = 0. Determine q so that -7*q + 6*q + 28*q - 6 - 12*q**r = 0.
1/4, 2
Let i(m) = -2 - m**2 + 2*m**2 + 2*m + m**2. Let s(o) = -3*o - 11. Let h be s(-3). Let v(c) = -c**3 - 5*c**2 - 5*c + 5. Let g(x) = h*v(x) - 5*i(x). Factor g(y).
2*y**3
Let l(r) be the third derivative of 1/420*r**6 + 0*r + 0 - 4*r**2 + 1/21*r**3 + 1/70*r**5 + 1/28*r**4. Factor l(o).
2*(o + 1)**3/7
Let s(t) be the first derivative of -t**5/210 - t**4/42 - t**3/21 - t**2/2 - 3. Let w(n) be the second derivative of s(n). Determine d so that w(d) = 0.
-1
Let y(s) be the second derivative of s**5/300 + s**4/120 + 7*s**2/2 + 8*s. Let c(x) be the first derivative of y(x). Determine t, given that c(t) = 0.
-1, 0
Let m be -4*((-21)/6 - -3). Factor 14*l**3 - 17*l + 17*l + 4*l**m - 8*l**4.
-2*l**2*(l - 2)*(4*l + 1)
Let b(x) = -2 - 2 + 4*x**2 + 2*x + 7*x**3 - 5*x**3. Let t(m) = m - 7. Let g be t(6). Let p(u) = -u**2 - u + 1. Let v(f) = g*b(f) - 4*p(f). Factor v(l).
-2*l*(l - 1)*(l + 1)
Factor 0 - 2/15*g**3 + 4/15*g + 2/15*g**2.
-2*g*(g - 2)*(g + 1)/15
Let r be 6/(-2) - (-10)/2. Factor 3*o**2 - o**2 + 2*o**3 + 0*o**2 + r*o**3 + 2*o**4.
2*o**2*(o + 1)**2
Let t = 20286/355 - -4/71. Let c = t + -56. Factor -c*d + 4/5*d**2 + 2/5.
2*(d - 1)*(2*d - 1)/5
Factor -4*k**5 - 34*k**4 + 2*k**4 - 13*k**2 - 58*k**2 - 36*k - 25*k**2 - 88*k**3.
-4*k*(k + 1)**2*(k + 3)**2
Let i = 30 - 0. Factor -30 - 2*w**3 + 2*w**2 + i + 4*w.
-2*w*(w - 2)*(w + 1)
Let z be (-12 - -11)/((-2)/6). Let x(l) be the first derivative of 2/5*l**5 + 3/2*l**4 - 1 + 2*l**z + 0*l + l**2. Factor x(q).
2*q*(q + 1)**3
Let w be -58*4/240 + -3 + 4. Let b(v) be the first derivative of 2/15*v**3 + 3 + 0*v + 1/10*v**2 - w*v**6 - 2/25*v**5 + 0*v**4. Factor b(t).
-t*(t - 1)*(t + 1)**3/5
Let g(t) be the second derivative of -t**6/24 - t**5/5 - 3*t**4/8 - t**3/3 - t**2 + 3*t. Let h(x) be the first derivative of g(x). Suppose h(j) = 0. What is j?
-1, -2/5
Let v(t) be the second derivative of 25*t**7/42 - 7*t**6/2 + 38*t**5/5 - 122*t**4/15 + 24*t**3/5 - 8*t**2/5 - 6*t. Factor v(z).
(z - 2)*(z - 1)*(5*z - 2)**3/5
Let f = -42 + 24. Let w = -16 - f. Determine q so that 1/2*q**w + 1/4 - 3/4*q = 0.
1/2, 1
Let a be (224/(-72))/7 + 4/9. Find f, given that -9/5*f**3 + a*f + 42/5*f**4 + 0 - 6/5*f**2 = 0.
-2/7, 0, 1/2
Let w(z) be the first derivative of -3/10*z**5 - 4 - 3/8*z**4 + 0*z + 0*z**3 + 0*z**2 + 1/2*z**6. Find g such that w(g) = 0.
-1/2, 0, 1
Find i, given that -3/5*i**2 - 9/5*i**4 + 0*i + 0 + 9/5*i**3 + 3/5*i**5 = 0.
0, 1
Let q(p) be the third derivative of -p**8/3360 + p**6/720 + p**3/3 - p**2. Let k(f) be the first derivative of q(f). Solve k(x) = 0 for x.
-1, 0, 1
Factor -3*v + 10*v**3 + 4*v - 14*v**3 + 3*v**3.
-v*(v - 1)*(v + 1)
Let b(w) = 2*w**2 - 4*w + 2. Let j(t) = -3*t**2 + 8*t - 5. Let c(l) = 5*b(l) + 2*j(l). What is o in c(o) = 0?
0, 1
Suppose -1 = 3*x - 4. Factor x - 2*t + 2*t**2 - 1 - 2*t.
2*t*(t - 2)
Let k be (2/(-240))/(4/(-10)). Let w(o) be the second derivative of -o + k*o**4 + 0*o**2 + 0 + 0*o**3. Factor w(p).
p**2/4
Let w(h) be the third derivative of h**5/60 + h**4/8 + 4*h**2. Let k be w(-3). Solve 2/