0 - 2*q**4 + 2*q**3 - 2 + v*q**2 - q = 0 for q.
-2, -1, 1
Let f(v) = 3*v**4 - v**2 - 2 + 2*v**2 - 2*v**2 - 7*v**3 + 6*v. Let j(i) = 9*i**2 - 8*i**2 - 1 - 5*i**3 + 6*i**3 + 0. Let r(z) = f(z) + j(z). Factor r(d).
3*(d - 1)**3*(d + 1)
Let x(h) be the first derivative of -3*h**4/20 - 12*h**3/5 - 72*h**2/5 - 192*h/5 - 12. Determine w so that x(w) = 0.
-4
Determine c, given that 0*c + 81*c**4 - 72*c**4 - 9*c**2 - 3*c**5 + 6*c + 0*c**2 - 3*c**3 = 0.
-1, 0, 1, 2
Let z(t) be the first derivative of -1 + 1/4*t**3 - 3/8*t**2 + 0*t. Let z(r) = 0. What is r?
0, 1
Let v(l) be the third derivative of -l**5/15 + l**4/12 + l**3/3 - 3*l**2. Determine q, given that v(q) = 0.
-1/2, 1
Let t(b) be the second derivative of 0 - 2/45*b**3 + 1/150*b**5 - 1/90*b**4 + 5*b + 0*b**2. Factor t(l).
2*l*(l - 2)*(l + 1)/15
Find m such that 0 + 16/3*m**3 + 0*m + 4*m**4 + 0*m**2 - 4/3*m**5 = 0.
-1, 0, 4
Let u be -2 + 72/13 + -2. Let t = 187 + -2381/13. Factor -2/13 + u*q - t*q**2.
-2*(5*q - 1)**2/13
Let y = -247/4 - -62. Let m = -151/4 + 38. Determine v, given that 0 + y*v**3 - 1/4*v - m*v**4 + 1/4*v**2 = 0.
-1, 0, 1
Suppose -129/8*n**3 + 0 - 3*n**2 + 27/4*n**5 - 39/8*n**4 + 3/2*n = 0. What is n?
-1, -1/2, 0, 2/9, 2
Let z(i) be the second derivative of -i**4/16 - 9*i**3/8 + 15*i**2/4 + 39*i. Determine f, given that z(f) = 0.
-10, 1
Let a = 19 + -55/3. Let p(n) be the third derivative of 1/3*n**4 - a*n**3 - 1/12*n**5 + 1/120*n**6 - n**2 + 0 + 0*n. Factor p(o).
(o - 2)**2*(o - 1)
Factor 8 - 2*m**2 - 4*m + 5*m**3 - 6*m**3 + 2*m**3.
(m - 2)**2*(m + 2)
Let m(x) = -x**2 + 3*x. Let b(a) = -5*a**2 + 13*a. Let k be ((-12)/15)/((-4)/(-90)). Let f(v) = k*m(v) + 4*b(v). Let f(d) = 0. Calculate d.
-1, 0
Suppose 3/2*b**4 - 3*b**2 + 0*b**3 + 3/2 + 0*b = 0. What is b?
-1, 1
Let k(v) = -v**3 + v. Let q(m) = 3*m**4 + 3*m**3 - 3*m**2 - 3*m. Let x(u) = -3*k(u) - q(u). Solve x(n) = 0 for n.
-1, 0, 1
Let b(x) be the third derivative of x**6/480 + x**5/240 + 24*x**2. Suppose b(f) = 0. Calculate f.
-1, 0
Factor 3*f**4 + 6*f**4 + 5*f**3 - 7*f**4 + 3*f**4.
5*f**3*(f + 1)
Let f(b) be the second derivative of b**5/100 - b**4/60 - b. Factor f(o).
o**2*(o - 1)/5
Let v(c) be the third derivative of 0*c + 1/525*c**7 + 0 - 1/150*c**5 + 0*c**3 - 1/300*c**6 - 6*c**2 + 1/60*c**4. Factor v(y).
2*y*(y - 1)**2*(y + 1)/5
Let s(m) be the second derivative of -m**6/150 + 3*m**5/50 - 13*m**4/60 + 2*m**3/5 - 2*m**2/5 - 15*m. Solve s(g) = 0 for g.
1, 2
Suppose -d + 0*d + 10 = 4*t, -2*t - 5*d + 14 = 0. Let u be (-31 + 32)/(2/6*1). Determine k, given that -4/7*k - 2/7*k**u + 0 + 6/7*k**t = 0.
0, 1, 2
Let i(t) be the third derivative of 5*t**6/24 + t**5/6 + t**4/24 + 13*t**2. Factor i(x).
x*(5*x + 1)**2
Let b(v) = -v**3 + 6*v**2 + v. Let f(w) = w**2. Let m(j) = b(j) - 6*f(j). Factor m(l).
-l*(l - 1)*(l + 1)
Let m(b) be the first derivative of 0*b**2 - 2*b - 4/135*b**6 - 1/27*b**4 - 7/90*b**5 + 2 + 1/27*b**3. Let l(g) be the first derivative of m(g). Factor l(u).
-2*u*(u + 1)**2*(4*u - 1)/9
Let r(m) be the first derivative of 2*m**6/39 - 6*m**5/65 - 2*m**4/13 + 2*m**3/13 + 2*m**2/13 + 2. Suppose r(x) = 0. Calculate x.
-1, -1/2, 0, 1, 2
Let k(h) be the third derivative of -h**6/20 - h**5/30 - 10*h**2. Find q such that k(q) = 0.
-1/3, 0
Let w(c) be the second derivative of c**5/50 - c**4/15 - c**3/15 + 2*c**2/5 - 6*c. Factor w(h).
2*(h - 2)*(h - 1)*(h + 1)/5
Suppose 3*v = 1 + 5. Factor 11*t**2 - 22*t**2 + 15*t**v + 14*t**3.
2*t**2*(7*t + 2)
Let v = -20 + 35. Let q be 27/v - (4 + -3). Factor 2/5*o**5 - 2/5 - 6/5*o + 6/5*o**4 + 4/5*o**3 - q*o**2.
2*(o - 1)*(o + 1)**4/5
Let n = 3115/18 + -173. Let h(i) be the third derivative of 0*i + 0*i**3 + n*i**4 - 4*i**2 - 7/90*i**5 + 0 + 1/60*i**6. What is p in h(p) = 0?
0, 1/3, 2
Let -2/17*f**2 - 4/17*f - 2/17 = 0. Calculate f.
-1
Let o be 16/56*(-2 + 6 + 2). Solve -3/7*n**5 + 2/7*n**4 + 4/7*n + 0 + 9/7*n**3 - o*n**2 = 0.
-2, 0, 2/3, 1
Let n = -109821/5 - -22096. Let y = n - 131. What is i in -y*i + 46/5*i**4 + 0 - 54/5*i**3 + 26/5*i**2 - 14/5*i**5 = 0?
0, 2/7, 1
Let y(m) be the third derivative of -m**8/84 - 2*m**7/105 + m**6/15 + 2*m**5/15 - m**4/6 - 2*m**3/3 - m**2. What is i in y(i) = 0?
-1, 1
Suppose 0 = 14*h - 10*h - 20. Factor -3*c**3 + 0 + 0*c**2 + 3/2*c + 0*c**4 + 3/2*c**h.
3*c*(c - 1)**2*(c + 1)**2/2
Let n(u) = 2*u**2 + u + 2. Let i be n(-1). Suppose i = -t + 5. Factor 0 - 1/6*j**t + 1/3*j - 1/6*j**3.
-j*(j - 1)*(j + 2)/6
Let i(x) = -x**2 + 1. Let t(j) = 17*j**2 + 16*j - 21. Let n(g) = 5*i(g) + t(g). What is l in n(l) = 0?
-2, 2/3
Let i = -11 + 13. Suppose -3*c + m + 2 + 1 = 0, -8 = 2*c - 4*m. Find a, given that 3*a**c + i*a**3 - 3*a + 1 - 3*a**3 + 0 = 0.
1
Suppose 0*o = -3*o + 12. Let b(c) be the third derivative of -1/3*c**3 + 1/30*c**5 + 0 + 0*c**o + 2*c**2 + 0*c. Determine g, given that b(g) = 0.
-1, 1
Let p(v) = 2*v**2 + 2*v + 3. Let f be (-2)/8 - (-46)/(-8). Let m(w) = -7*w**2 - 9*w - 13. Let d(h) = f*m(h) - 26*p(h). Factor d(y).
-2*y*(5*y - 1)
Let j = 14 - 10. Suppose -2*u - 18 = -5*i - 3*u, 0 = -j*i + 4*u. Factor -1/2*l**2 + 1/2*l**5 + 3/2*l**i - 3/2*l**4 + 0*l + 0.
l**2*(l - 1)**3/2
Suppose -4*v = v - l - 30, l + 5 = 0. Suppose 0*o**3 + 2/3*o**v - 4/3*o**4 - 2/3*o + 0 + 4/3*o**2 = 0. What is o?
-1, 0, 1
Let t(p) = -4 + 1 + 2 + 2 + 3*p**2. Let u be t(-1). Factor w**4 + 5*w**4 - u*w**3 + 2 - w + 5*w**5 - 10*w**2 + 0*w**4 + 2*w**4.
(w - 1)*(w + 1)**3*(5*w - 2)
Let t(r) be the third derivative of -r**7/42 - 11*r**6/120 - 7*r**5/60 - r**4/24 + 10*r**2. Suppose t(k) = 0. Calculate k.
-1, -1/5, 0
Let z = 451 - 448. Factor 9/5*p**z - 12/5 + 24/5*p + 33/5*p**2.
3*(p + 2)**2*(3*p - 1)/5
Factor -15/2*o + 8 - 1/2*o**2.
-(o - 1)*(o + 16)/2
Find d, given that 24*d**2 - 8*d**3 - 4 + 4*d - 16*d**2 - 4*d**4 + 9*d**5 - 5*d**5 = 0.
-1, 1
Factor q**3 + 16*q - 2*q - 11*q + 9 - 5*q**2 + 0*q**2.
(q - 3)**2*(q + 1)
Let p be 8/(-16) + 22/(-4). Let a be (-66)/(-72) - (-1)/p. Factor 0 + 0*q + 1/4*q**2 - 1/4*q**5 + 3/4*q**4 - a*q**3.
-q**2*(q - 1)**3/4
Let b(q) be the third derivative of 0*q**3 - 3*q**2 + 0*q - 1/180*q**6 + 1/45*q**5 - 1/36*q**4 + 0. Suppose b(s) = 0. What is s?
0, 1
Suppose 3*v - 15 = 0, -3*v = f + 2*f + 48. Let u be f/36*-4 - 1. Solve 1/3*p**4 - 2/3*p**3 + u - p**2 + 4/3*p = 0.
-1, 2
Let c(q) be the third derivative of -q**6/1260 + q**5/420 - q**3 - 6*q**2. Let s(m) be the first derivative of c(m). Factor s(z).
-2*z*(z - 1)/7
Let w = -179 - -181. Suppose -6/13*x + 2/13*x**w + 0 = 0. What is x?
0, 3
Let o = -10 - -40/3. What is r in 1/3 + 5/3*r**4 + 10/3*r**2 + o*r**3 + 5/3*r + 1/3*r**5 = 0?
-1
Let t = 18 + -10. Suppose 3*q + 3*m = 2*q + 18, q + m = t. Factor 2/3*r + 0 - 3*r**q + 13/3*r**4 - 5/3*r**5 - 1/3*r**2.
-r*(r - 1)**3*(5*r + 2)/3
Suppose 2*x = -3*c + 6, 1 + 5 = -2*x. Let r(n) be the second derivative of 2*n + 1/12*n**c + 2*n**2 + 0 + 2/3*n**3. Solve r(u) = 0.
-2
Let t(d) be the third derivative of d**6/320 - 3*d**5/80 - d**4/64 + 3*d**3/8 + 32*d**2. Determine f, given that t(f) = 0.
-1, 1, 6
Let a(i) be the first derivative of -i**4/4 + i**2/2 + 3. Let s be a(0). Let s - 1/3*w**3 - 1/3*w**2 + 0*w = 0. Calculate w.
-1, 0
Let o(a) be the second derivative of a**5/30 + a**4/6 + a**3/3 + a**2/3 - 8*a. Factor o(p).
2*(p + 1)**3/3
Let z = -18 + 22. Let s(n) be the third derivative of 0*n**3 - 1/210*n**7 + 0*n + 0 - n**2 + 0*n**z - 1/60*n**5 - 1/60*n**6. Suppose s(j) = 0. Calculate j.
-1, 0
Let t be 76/722 - 106/(-76). Factor 3*g**3 + t*g**2 - 3/2*g**4 + 0 - 3*g.
-3*g*(g - 2)*(g - 1)*(g + 1)/2
Suppose -16*l + 12 + 20 = 0. Determine j so that 1/5 - 1/5*j**l + 0*j = 0.
-1, 1
Suppose 5*c + 1 = a, -3*c = -5*a - 0 + 5. Factor 0 + c*s - 2/9*s**2.
-2*s**2/9
Factor -20*f**2 + 12 + 4*f**3 + 0*f + 8*f**2 - 4*f.
4*(f - 3)*(f - 1)*(f + 1)
Let c = -4 - -8. Suppose -4*k - 1 = -17. Factor -2*y**k + 0*y + c*y + 4 - 2 - 4*y**3.
-2*(y - 1)*(y + 1)**3
Factor -1/5*q**2 - q - 6/5.
-(q + 2)*(q + 3)/5
Let h(s) be the first derivative of -3/4*s**3 - 1 + 0*s - 1/4*s**2. Factor h(a).
-a*(9*a + 2)/4
Let o be (-5)/10 + (-52)/(-72). Let a(f) be the first derivative of 1/18*f**4 + 1/3*f**2 - 2 - 2/9*f**3 - o*f. Factor a(w).
2*(w - 1)**3/9
Suppose -5*o + 26 = 6. Factor 1/2*p**o + 0 - 1/4*p**5 + 1/4*p - 1/2*p**2 + 0*p**3.
-p*(p - 1)**3*(p + 1)/4
Let q(s) be the third derivative of s**7/84 - 23*s**6/240 + 5*