or t(n).
4*(n + 1)**2*(4*n - 1)**2
Suppose -q = -5*d + 3*q + 22, d = 2*q + 8. Let k(v) be the first derivative of -8/5*v**d + 8/25*v**5 + 3 + 18/5*v**3 - 8/5*v - 19/10*v**4. Solve k(f) = 0 for f.
-1/4, 1, 2
Let m(t) = -t**3 + 11*t**2 - 11*t - 5. Let r be m(8). Let a be 29/9 + (-22)/r. Determine l so that -2/11*l**5 + 0*l**4 + 4/11*l**a - 2/11*l + 0*l**2 + 0 = 0.
-1, 0, 1
Let b = 303/5 - 59. Suppose -2/5*r**3 - 8/5*r + 0 - b*r**2 = 0. What is r?
-2, 0
Let o be 2 - -3*(-9)/18. Factor 0 + o*q - 1/4*q**2 - 3/4*q**3 + 1/4*q**5 + 1/4*q**4.
q*(q - 1)**2*(q + 1)*(q + 2)/4
Suppose 14*c = 20*c. Factor 4/3*p + c - 2/3*p**2.
-2*p*(p - 2)/3
Let s(n) be the third derivative of 0 + 1/60*n**5 + 0*n**6 - 2*n**2 + 1/48*n**4 + 0*n + 0*n**3 - 1/672*n**8 - 1/210*n**7. Factor s(c).
-c*(c - 1)*(c + 1)**3/2
Let o be (-60)/50*5/(-2). Let m(r) be the first derivative of -1 + 2/3*r**o - 4*r + r**2. Determine b so that m(b) = 0.
-2, 1
Let b(m) be the first derivative of -2*m**3/63 + m**2/21 + 4*m/7 + 6. Factor b(v).
-2*(v - 3)*(v + 2)/21
Let i(a) be the second derivative of a**7/1260 - a**6/360 - a**5/30 - a**4/6 + a. Let b(h) be the third derivative of i(h). Factor b(w).
2*(w - 2)*(w + 1)
Let 8/7 - 8/7*v**3 + 26/7*v - 26/7*v**2 = 0. What is v?
-4, -1/4, 1
Find a such that -2/3*a**2 + 4/3*a + 2 = 0.
-1, 3
Solve 4/11*s**2 - 4/11*s**4 + 0 + 2/11*s - 2/11*s**5 + 0*s**3 = 0 for s.
-1, 0, 1
Let x(g) be the third derivative of g**5/20 - 3*g**4/4 - 7*g**3/2 - 38*g**2. Suppose x(t) = 0. Calculate t.
-1, 7
Let x(h) be the first derivative of -2/3*h**3 + 2*h**2 + 2 + 0*h. Suppose x(b) = 0. What is b?
0, 2
Let b(m) be the third derivative of 0 - 9/4*m**3 - 1/1260*m**7 - 2*m**2 - 3/20*m**5 - 1/60*m**6 + 0*m - 3/4*m**4. Factor b(l).
-(l + 3)**4/6
Suppose 0 = 2*v + 3*f - 18, 24 - 4 = 5*v - 5*f. Let m be (v/12)/((-2)/(-4)). Factor 1 + 4*k - m - 2*k**2 - 2.
-2*(k - 1)**2
Let u be (-1484)/(-378) + 2/27. Find g such that 0*g**2 - 1/4*g**u + 0 - 1/4*g**3 + 0*g = 0.
-1, 0
Let h(z) be the first derivative of z**6/18 - 2*z**5/5 + 2*z**4/3 + 2*z**3/3 - 3*z**2/2 - 68. Factor h(x).
x*(x - 3)**2*(x - 1)*(x + 1)/3
Let t(f) = 5*f**3 - 7*f + 8. Let x(i) = -21*i**3 + 27*i - 33. Let n(k) = 9*t(k) + 2*x(k). Factor n(j).
3*(j - 1)**2*(j + 2)
Let c(r) be the first derivative of 6*r**5/13 + 137*r**4/26 + 282*r**3/13 + 459*r**2/13 + 108*r/13 + 40. Factor c(q).
2*(q + 3)**3*(15*q + 2)/13
Factor -3*a**2 - a**3 - 2*a + 0*a**2 - a**2 + a**2.
-a*(a + 1)*(a + 2)
Let -15*a**3 - 4/3*a + 8*a**2 + 25/3*a**4 + 0 = 0. What is a?
0, 2/5, 1
Let u be 7/126*8/6. Let m(d) be the second derivative of 0 - 1/9*d**2 - 1/54*d**4 + 2*d - u*d**3. Factor m(n).
-2*(n + 1)**2/9
Let t(u) be the first derivative of u**9/13608 + u**8/7560 - u**7/3780 - u**6/1620 + u**3/3 - 2. Let d(o) be the third derivative of t(o). Factor d(r).
2*r**2*(r - 1)*(r + 1)**2/9
Let o(a) = a**2 - a + 4. Let y be o(0). Suppose -4*r = 3*m - 11, -6 = -y*m - r - 0*r. Factor -3*i**2 + 2*i**4 - m + 3*i**3 - 2*i**3 - i + 2.
(i - 1)*(i + 1)**2*(2*i - 1)
Let x(h) be the second derivative of h**7/21 + h**6/5 + 3*h**5/10 + h**4/6 + 6*h. Solve x(i) = 0.
-1, 0
Let j(b) be the third derivative of -2*b**7/35 - b**6/30 + b**5/5 + b**4/6 + 6*b**2. Suppose j(h) = 0. What is h?
-1, -1/3, 0, 1
Suppose 14*u - 8 = 12*u. Let -5*t + u - 11*t + 0*t**4 + 24*t**2 - 16*t**3 + 4*t**4 = 0. What is t?
1
Let z(g) = -11*g**2 - 1. Let i be z(1). Let y be (i/10)/(8/(-20)). Factor 2*n**3 - 4*n**y + n**2 + n - 1 + n**3.
-(n - 1)**2*(n + 1)
Suppose 0 = -5*b - 3*m - 9, 2 + 1 = -4*b - m. Let r(q) be the third derivative of 0 + 0*q**5 + b*q + 1/420*q**6 + 0*q**4 + 2*q**2 + 0*q**3. Factor r(k).
2*k**3/7
Let m(t) be the first derivative of t**9/12096 + t**8/3360 + t**7/3360 - 2*t**3/3 + 1. Let d(j) be the third derivative of m(j). Factor d(k).
k**3*(k + 1)**2/4
Let p be 21/5 - 18/6. Factor -2/5 - 4/5*i**2 - 2/5*i**5 + 6/5*i + p*i**4 - 4/5*i**3.
-2*(i - 1)**4*(i + 1)/5
Let h be 138/216 + (-2)/(-8). Let m be 30/(-81)*48/(-20). Factor -m*c + 2/3*c**2 + h*c**3 - 8/9 + 2/9*c**4.
2*(c - 1)*(c + 1)*(c + 2)**2/9
Let k(s) = -s**2 + 4*s - 6. Let n be k(4). Let l = 8 + n. Suppose -2*w**3 + 3*w - l*w**2 + 2*w**4 + 0*w**2 - w = 0. What is w?
-1, 0, 1
Suppose -p + 3 + 1 = 0. Solve 5*d + 4*d - p*d**2 - 5*d - 5*d = 0 for d.
-1/4, 0
Suppose -2*y - 145 = -5*m, 0 = -m - 0*y - 3*y + 12. Let q = m - 25. Factor 0 + 18/5*o**3 + q*o**5 - 4/5*o + 26/5*o**4 - 2/5*o**2.
2*o*(o + 1)**3*(5*o - 2)/5
Let t(l) be the second derivative of -l**7/252 + l**6/36 - 7*l**5/120 + l**4/24 + 19*l. Solve t(b) = 0 for b.
0, 1, 3
Let c(f) be the third derivative of -f**4/24 + 11*f**3/6 - 7*f**2. Let q be c(11). Suppose -1/6*g**5 + q*g**2 + 0 + 1/3*g**3 + 0*g**4 - 1/6*g = 0. Calculate g.
-1, 0, 1
Find u such that -6 - 191 + 5 - 47*u - 33*u**3 + 3*u**4 - u + 108*u**2 = 0.
-1, 4
Let k be (3 + -4)*(-1 + -2). Suppose 8*f - 20 = k*f. Determine l so that -2*l - 2*l + 3 + f*l**2 - 2 = 0.
1/2
Solve 2*c**4 - 3*c - c**4 - 3*c + 2*c**4 - 3 + 6*c**3 = 0 for c.
-1, 1
Solve -7*v**3 + 8*v**3 - 6*v**2 + 7 + 3*v - 1 - 4*v**3 = 0.
-2, -1, 1
Find u such that 15*u**3 - 113*u**4 - 115*u**4 + 223*u**4 - 5*u**2 + 5*u - 10*u**2 = 0.
0, 1
Let o(v) be the first derivative of v**3 + 9*v**2 + 27*v - 5. Factor o(x).
3*(x + 3)**2
Let t(r) be the third derivative of -r**7/1260 - r**6/180 - 15*r**2. Factor t(z).
-z**3*(z + 4)/6
Factor 1 + d**4 - d - 2*d**3 - d**5 + 12*d**3 - 8*d**3 - 2*d**2.
-(d - 1)**3*(d + 1)**2
Let u be (11/44)/(1/20). Suppose -2 - 2 = -2*y. Let 2/5*z + 2/5*z**4 - 4/5*z**y - 4/5*z**3 + 2/5*z**u + 2/5 = 0. Calculate z.
-1, 1
Let v(c) be the second derivative of -1/30*c**6 + 0 - 1/84*c**7 + 0*c**3 + 0*c**4 - 4*c + 0*c**2 - 1/40*c**5. Factor v(u).
-u**3*(u + 1)**2/2
Let 48*d**2 + 3*d**4 - 3*d**2 - 6*d**3 + 12 - 15*d**3 - 39*d = 0. What is d?
1, 4
Suppose -130*i**2 - 6*i + 3 + 6*i**3 - 3*i**4 + 130*i**2 = 0. Calculate i.
-1, 1
Suppose -2*g = 3*c - 0*g - 14, 5*c - 6 = g. Solve -2*w**c + 0*w - 3*w - 2*w**2 - 8*w**2 = 0.
-1/4, 0
Suppose 0 = -0*y - 5*y - 0*y. Let t(l) be the second derivative of -1/18*l**4 - 1/3*l**2 + 2/9*l**3 + y + l. Solve t(q) = 0 for q.
1
Let o(k) be the second derivative of -k**6/45 + k**5/6 - 4*k**4/9 + 4*k**3/9 + k - 17. Factor o(j).
-2*j*(j - 2)**2*(j - 1)/3
Let b(g) be the second derivative of g**8/8400 + g**7/1050 - 2*g**5/75 - 2*g**4/15 + 3*g**3/2 + 6*g. Let x(l) be the second derivative of b(l). Factor x(k).
(k - 2)*(k + 2)**3/5
Let r be 2 - 0 - 34/20. Let o = r - -1/5. Factor 1/4*b**5 - 1/4 + 1/2*b**2 + 1/4*b - o*b**3 - 1/4*b**4.
(b - 1)**3*(b + 1)**2/4
Let y(r) = 5*r + 124. Let b be y(-24). Factor 1/3*a**b + 4/3*a**2 + 0 + 0*a - 4/3*a**3.
a**2*(a - 2)**2/3
Let r = 22 - 63. Let d = r + 125/3. Factor 4/3*o**2 + 0*o**3 + d*o - 2/3*o**5 - 4/3*o**4 + 0.
-2*o*(o - 1)*(o + 1)**3/3
Let w(l) be the third derivative of -l**5/90 - l**4/9 - 4*l**3/9 - 29*l**2. Factor w(s).
-2*(s + 2)**2/3
Let b(h) be the second derivative of -h**5/60 - h**4/12 - h**3/6 + 3*h**2/2 + 3*h. Let n(x) be the first derivative of b(x). Factor n(w).
-(w + 1)**2
Let f be (-5)/4*6/(-180). Let o(y) be the second derivative of -1/24*y**3 + 0*y**2 + 0 + f*y**4 - 2*y. Factor o(m).
m*(2*m - 1)/4
Let -6*z - 2/3*z**3 - 4*z**2 + 0 = 0. What is z?
-3, 0
Let s be (-2)/(-6)*(19 - 13). Solve 2/3*b**s + 0 - 2/3*b = 0.
0, 1
Solve 4/3*o**2 + 0 + 1/3*o**4 + 4/3*o**3 + 0*o = 0 for o.
-2, 0
Suppose -g - 2*g = -6*g. Let n(x) be the first derivative of -3/20*x**4 + g*x + 3 + 0*x**3 + 0*x**2 + 3/25*x**5. Solve n(a) = 0 for a.
0, 1
Let u(g) be the first derivative of -g**6/39 + 8*g**5/65 - 28*g**3/39 + 17*g**2/13 - 12*g/13 + 62. Suppose u(o) = 0. Calculate o.
-2, 1, 3
Let w(q) be the second derivative of -2*q + 0*q + 0*q + q**2 + 6*q**4 + 0*q**4 - 4*q**3. Factor w(k).
2*(6*k - 1)**2
Let q be 0 + -9*(-3)/9. Factor 3/4*n**2 + 0*n + 0 + 9/4*n**3 - q*n**4.
-3*n**2*(n - 1)*(4*n + 1)/4
Let c(d) be the second derivative of d**6/165 + 2*d**5/55 - 6*d. Find r such that c(r) = 0.
-4, 0
Let v = -14 - -17. Let a(y) be the second derivative of 0*y**v - 2/15*y**5 + 0 + 5/63*y**7 + 0*y**4 + y + 0*y**2 + 8/45*y**6. Factor a(o).
2*o**3*(o + 2)*(5*o - 2)/3
Let t = 2 + 2. Suppose 2*x**4 - 2*x - 4*x**4 - 6*x**2 + 0*x**t - 6*x**3 = 0. Calculate x.
-1, 0
Let 2/11*w**3 + 0*w**2 + 0 - 2/11*w = 0. What is w?
-1, 