0*a - 1/9*a**3 + i - 1/6*a**2 + 1/12*a**4 + 1/15*a**5. Factor v(j).
j*(j - 1)*(j + 1)**2/3
Suppose -3 - 5 = -2*y. Suppose 0 = -5*b + y*b. Suppose b*r**5 + r**3 + 0*r**3 + 6*r**4 + 9*r**5 = 0. What is r?
-1/3, 0
Let i = -1 - -5. Suppose -i*f = f - 20. Factor 0 + 0*z + 7/4*z**f - 9/4*z**3 + 1/2*z**2.
z**2*(z - 1)*(7*z - 2)/4
Let h = 7/9 + -1/9. Factor -4/3 - h*r**2 + 2*r.
-2*(r - 2)*(r - 1)/3
Let y(c) be the first derivative of c**4/14 + 2*c**3/21 - 2*c**2/7 + 9. Solve y(j) = 0 for j.
-2, 0, 1
Let z(g) = 6*g**3 - 2*g - 4. Let t(r) be the third derivative of 7*r**6/120 - r**4/12 - 5*r**3/6 - 2*r**2. Let s(j) = -4*t(j) + 5*z(j). Factor s(f).
2*f*(f - 1)*(f + 1)
Let k(u) be the first derivative of 2*u**6/15 - 16*u**5/25 + u**4 - 8*u**3/15 + 2. Factor k(i).
4*i**2*(i - 2)*(i - 1)**2/5
Let s(l) be the first derivative of -l**4/2 - 2*l**3/3 + l**2 + 2*l + 7. Let s(g) = 0. Calculate g.
-1, 1
Let v(l) be the third derivative of 1/8*l**4 - 1/20*l**5 + 4*l**2 + l**3 + 0*l + 0. Solve v(r) = 0 for r.
-1, 2
Let g = 19 + -9. Factor 4*m**4 - 8*m**5 - 6*m**5 + g*m**5 - 2*m**5.
-2*m**4*(3*m - 2)
Let g(q) be the third derivative of -7*q**2 + 0*q**4 + 0*q**5 + 0*q**3 + 0*q + 1/840*q**7 - 1/240*q**6 + 0. Let g(i) = 0. What is i?
0, 2
Find i, given that 37/3*i + 14/3 - 7/3*i**3 - 44/3*i**2 = 0.
-7, -2/7, 1
Let b(k) be the second derivative of -k**4/6 - 5*k**3/18 + k**2/6 + 3*k. Suppose b(w) = 0. Calculate w.
-1, 1/6
Let m be -1*(-10)/(-4)*-130. Let i = m + -1614/5. Solve i*a**3 - 4/5*a - 5*a**5 + 12/5*a**2 - 6*a**4 + 0 = 0.
-1, 0, 2/5
Suppose -2*n - 9 + 25 = 0. Factor -4 - 3*i**2 - 4 + 36*i**3 + n - 3*i.
3*i*(3*i - 1)*(4*i + 1)
Let u(s) be the first derivative of -s**5/5 - s**4/4 + 5. Solve u(d) = 0 for d.
-1, 0
Suppose -19 = -3*p - 2*h + h, -5*h = -2*p + 41. Determine i, given that -8*i**2 - 2*i**4 - 4*i**2 - 2 + 2*i + 6*i + p*i**3 + 0*i**2 = 0.
1
Let q(j) be the second derivative of j**7/360 - j**6/80 + j**5/60 + j**4/4 - 4*j. Let f(x) be the third derivative of q(x). Factor f(c).
(c - 1)*(7*c - 2)
Solve -123*q + 4*q**2 - 131*q + 258*q - 8 = 0 for q.
-2, 1
Let y(b) = -b**4 - b**2 + b - 1. Let q(v) = 4*v**3 - 2*v**2 - 2*v - 4. Let z(a) = 2*q(a) - 4*y(a). Factor z(m).
4*(m - 1)*(m + 1)**3
Let i be (-5)/(-3)*4/(-50). Let s = i + 23/60. Factor 1/4*d**4 + s*d - 1/4*d**3 - 1/4*d**2 + 0.
d*(d - 1)**2*(d + 1)/4
Let q be (0 - 2)/2*-15. Suppose g + 4*g = -3*l - q, -3*g - 9 = -3*l. Factor 6*r + l - 2*r**2 + 1 - 5.
-2*(r - 2)*(r - 1)
Let j be 2/(34180/8552 + -4). Let f = j + 612. Suppose 0 + f*v**2 + 2/7*v**5 - 8/7*v + 6/7*v**3 - 8/7*v**4 = 0. Calculate v.
-1, 0, 1, 2
Let o = 22 + -14. Let x(h) be the third derivative of -1/600*h**6 - h**2 + 0*h**3 + 1/560*h**o - 1/60*h**4 + 0*h - 1/210*h**7 + 1/60*h**5 + 0. Solve x(k) = 0.
-1, 0, 2/3, 1
Let g be 1*3/6*2. Determine y, given that 4*y + y**2 - g + 5 + 0*y**2 = 0.
-2
Let u(g) be the second derivative of g**5/110 + 3*g**4/22 + 5*g**3/11 - 25*g**2/11 - 55*g. Suppose u(f) = 0. Calculate f.
-5, 1
Factor -1/2*l**2 + 1/4*l**4 + 0*l**3 + 0*l + 1/4.
(l - 1)**2*(l + 1)**2/4
Suppose 34*h - 42 - 26 = 0. Let 2/5*d + 0 - 1/5*d**h = 0. Calculate d.
0, 2
Let c(v) be the third derivative of v**9/15120 - v**7/2520 + v**4/8 + 2*v**2. Let x(p) be the second derivative of c(p). What is i in x(i) = 0?
-1, 0, 1
Suppose 2*o - 5*t + 20 = 0, -2*o = 5*t - 2*t - 12. Factor 1/5*a**2 + o + 2/5*a.
a*(a + 2)/5
Let n(b) = -b + 9. Let d be n(9). Factor -2*r + 0*r**4 + d*r**4 + 4*r**5 + 6*r - 8*r**3.
4*r*(r - 1)**2*(r + 1)**2
Let h(k) be the first derivative of k**5/30 + k**4/24 - k**3/6 - 3*k**2/2 + 1. Let t(n) be the second derivative of h(n). Factor t(y).
(y + 1)*(2*y - 1)
Let v be 0/((1 + -12)*(-8)/44). What is d in v*d - 3/2*d**4 - 3/2*d**2 + 0 + 3*d**3 = 0?
0, 1
Let r be (-6)/2*4/(-6). Factor -5*t**3 - 4*t**3 - 7*t**4 - 5*t**5 - 2*t**r - 5*t**4.
-t**2*(t + 1)**2*(5*t + 2)
Factor -6*r + 25/6*r**3 + 4/3 + 5*r**2.
(r + 2)*(5*r - 2)**2/6
Suppose 5*w + 18 = -j, -4*w - 5*j - 8 = -2. Let b be w*(86/(-28) - -3). Solve -8/7*p**2 + 0 + b*p - 4/7*p**4 + 10/7*p**3 = 0.
0, 1/2, 1
Suppose 3*g + 7*r = 3*r - 32, 2*g = -3*r - 23. Let x be (-6)/27*6/g. Factor 2/3 - x*l**2 - 1/3*l.
-(l - 1)*(l + 2)/3
Let c(j) be the third derivative of j**5/180 - j**4/72 - j**3/9 - j**2. Let c(t) = 0. Calculate t.
-1, 2
Let w(q) = -5*q**5 + 7*q**4 + 4*q**3 + 3*q - 3. Let x(d) = 24*d**5 - 36*d**4 - 20*d**3 - 16*d + 16. Let o(p) = 16*w(p) + 3*x(p). Suppose o(l) = 0. Calculate l.
-1/2, 0, 1
Let p = 150 + -146. Factor 0*g**3 + 0*g**2 + 0 + 0*g + 1/3*g**p.
g**4/3
Let l(y) = 2*y**5 + 6*y**3 - 5*y**2 + 3*y. Let r(k) = 11*k**5 + 35*k**3 - 29*k**2 + 17*k. Let u(b) = 34*l(b) - 6*r(b). Factor u(n).
2*n**2*(n - 1)**2*(n + 2)
Let r(m) = 9*m - 230. Let o be r(26). Solve 0*k**3 + 0*k - 2/13*k**o + 0*k**2 + 0 = 0.
0
Factor -8/7 - 16/7*a - 6/7*a**2.
-2*(a + 2)*(3*a + 2)/7
Find v such that 7*v**2 - 3*v**4 - 4*v**4 - 3*v**3 + 2*v**4 - 2 + 3*v = 0.
-1, 2/5, 1
Let g(j) = 3 - 5 - 8*j**2 - 4 - 5*j**3 + 8*j + 4*j**3. Let r be g(-9). Factor 2*f**r - 2*f**4 - 2*f - 2*f**3 + 2*f**2 + 0*f**3 + 2*f**3.
-2*f*(f - 1)**2*(f + 1)
Let g = -26/21 + 18/7. Let r(s) be the first derivative of -g*s**3 + 4/5*s**5 + 1 + 0*s - 1/2*s**2 + 1/4*s**4. Determine x so that r(x) = 0.
-1, -1/4, 0, 1
Let a(n) be the first derivative of n**5/5 - 11*n**3/12 + 9*n**2/8 - n/2 - 5. What is p in a(p) = 0?
-2, 1/2, 1
Let a be 2 + -1 - (3 - 2). Let -n**2 + 0*n**2 + 6*n**2 - 4*n**3 + a*n - n = 0. Calculate n.
0, 1/4, 1
Let s(l) be the second derivative of -l**7/840 + l**5/40 - l**4/6 - 3*l. Let q(t) be the third derivative of s(t). Factor q(c).
-3*(c - 1)*(c + 1)
Let w = -1 + 4. Determine h, given that -h**2 + h**2 - 9*h - w*h**2 + 6*h**3 - 3 + 6*h**4 + 3*h**3 = 0.
-1, -1/2, 1
Let x(y) = -7*y**2 + 12*y + 6. Let q(b) = -2*b**2 + 4*b + 2. Let k(c) = 11*q(c) - 4*x(c). Find a such that k(a) = 0.
-1/3, 1
Let h(o) be the third derivative of 0*o**4 + 4*o**2 + 0*o + 0*o**3 - 3/280*o**7 + 0*o**5 + 1/112*o**8 + 0 - 1/160*o**6. Factor h(u).
3*u**3*(u - 1)*(4*u + 1)/4
Let t(b) be the third derivative of -b**4/24 - b**3/2 + 2*b**2. Let c be t(-3). Find g, given that -2/3*g**3 + c*g - 4/9*g**2 + 0 = 0.
-2/3, 0
Let q(a) be the first derivative of -6*a**4 + 0*a**3 - 32/5*a**5 - 5 + 2*a**2 - 2*a**6 + 0*a. Find y such that q(y) = 0.
-1, 0, 1/3
Let d(s) be the first derivative of -s**5/15 + s**4/12 + s**2 - 7. Let k(g) be the second derivative of d(g). Solve k(h) = 0.
0, 1/2
Let p(i) = 30*i**3 + 39*i**2 + 9*i - 3. Let n(v) = 61*v**3 + 79*v**2 + 17*v - 7. Let h(j) = -3*n(j) + 7*p(j). Determine z so that h(z) = 0.
-2/3, 0
Let t(m) = 2*m**3 - 4*m**2 + 6*m + 6. Let n(b) = 4*b**3 - 9*b**2 + 13*b + 13. Let i(w) = -6*n(w) + 13*t(w). Find r, given that i(r) = 0.
-1, 0
Let x be ((-1)/(-3))/((-3)/(-2)). Let g(q) be the second derivative of -1/18*q**4 - q + 0 - 1/3*q**2 + x*q**3. Factor g(z).
-2*(z - 1)**2/3
Let n = -86 - -90. Factor 0 - 3/2*c + 3/2*c**3 - 3/2*c**n + 3/2*c**2.
-3*c*(c - 1)**2*(c + 1)/2
Let y(j) be the first derivative of j**3/15 - j**2/10 + 5. Suppose y(a) = 0. Calculate a.
0, 1
Let h(s) be the first derivative of -s**7/147 + s**6/35 - 3*s**5/70 + s**4/42 - 3*s + 2. Let l(f) be the first derivative of h(f). Factor l(y).
-2*y**2*(y - 1)**3/7
Determine y so that -2/7*y - 12/7*y**3 - 2/7*y**5 - 8/7*y**2 + 0 - 8/7*y**4 = 0.
-1, 0
Let p(b) be the first derivative of 3*b**5/10 - 3*b**4/8 - b**3/2 + 3*b**2/4 - 5. Factor p(y).
3*y*(y - 1)**2*(y + 1)/2
Let d = -431/36 - -119/9. Factor a**2 + 1/4 + d*a.
(a + 1)*(4*a + 1)/4
Let t(q) be the third derivative of q**5/270 - q**4/54 + q**3/27 + 16*q**2. Determine x so that t(x) = 0.
1
Let j(w) be the second derivative of w**6/360 - w**5/120 + 2*w**3/3 - 3*w. Let i(q) be the second derivative of j(q). Suppose i(b) = 0. What is b?
0, 1
Let s(a) = -2*a + 12. Let o be s(6). Suppose 4*n = 3*w, -3*w = -o*w - 3*n. Find z such that -7*z**4 + 1/3*z**2 + 22/3*z**3 + w - 2/3*z = 0.
-2/7, 0, 1/3, 1
Let l be 2 + 0 - (0/(-2) - -2). Suppose -5/3*y**4 + 4/3*y**3 + 2/3*y**5 + 0*y - 1/3*y**2 + l = 0. Calculate y.
0, 1/2, 1
Let l be (-4)/20 - -2*(-13)/(-30). Factor -l*z**2 - 2/3 - 4/3*z.
-2*(z + 1)**2/3
Let u(s) be the first derivative of 2*s**3/3 - 6*s**2 + 18*s - 6. Factor u(l).
2*(l - 3)**2
Let z = 39 - 38. Factor 3/2*m + z + 1/2*m**2.
(m 