 g(r) be the second derivative of 1/12*r**3 + 1/12*r**4 + 0*r**5 + x - 2*r + 0*r**2 - 1/30*r**6 - 1/84*r**7. Solve g(i) = 0.
-1, 0, 1
Find g such that 4/13 - 2/13*g**2 - 6/13*g - 2/13*g**4 + 6/13*g**3 = 0.
-1, 1, 2
Let s(i) be the second derivative of i**9/1008 - i**7/140 + i**5/40 - i**3/2 - 5*i. Let d(g) be the second derivative of s(g). Find j such that d(j) = 0.
-1, 0, 1
Let x be ((-16)/9 - -1) + 1. Let r be 1364/2178 + -1*4/22. Factor 0*c**3 - 2/9*c + x*c**5 + 0 + r*c**4 - 4/9*c**2.
2*c*(c - 1)*(c + 1)**3/9
Let z(u) be the third derivative of -u**5/90 - u**4/18 + u**3/3 + 2*u**2. Determine p, given that z(p) = 0.
-3, 1
Let j(u) = u**3 - 7*u**2 - u + 4. Let w be j(7). Let a = 0 - w. What is o in -1/4*o**a + 0 + 1/4*o**5 + 0*o + 0*o**2 + 0*o**4 = 0?
-1, 0, 1
Let u(p) be the third derivative of -1/3*p**3 - p**2 - 1/18*p**4 + 0 + 0*p + 1/30*p**5 + 7/1080*p**6. Let b(j) be the first derivative of u(j). Factor b(m).
(m + 2)*(7*m - 2)/3
Let 0*t**3 + 0*t + 0 - 1/2*t**5 + 1/2*t**4 + 0*t**2 = 0. What is t?
0, 1
Suppose 144*i - 8*i**5 - 36*i**3 - 3*i**3 + 108 - 11*i**5 - 3*i**4 + 22*i**5 + 3*i**2 = 0. What is i?
-2, -1, 3
Let v(t) = -5 - 2*t**3 + 4*t - 5*t + 6*t**2 + 2*t. Let s(l) = l**3 - 3*l**2 - l + 3. Let a(i) = -7*s(i) - 4*v(i). Factor a(p).
(p - 1)**3
Let p = -16 - -19. Suppose 0 = -p*z - 2*z. Suppose -1/2*t**2 + 0 + 0*t + z*t**3 + 1/2*t**4 = 0. Calculate t.
-1, 0, 1
Let f(k) be the first derivative of -18*k**4 + 44*k**3 - 153*k**2/4 + 27*k/2 + 12. Factor f(l).
-3*(3*l - 1)*(4*l - 3)**2/2
Let l = 2 + 0. Factor 0*t**2 + 2*t - 3*t**3 + 0*t**3 + l*t**3 - t**2.
-t*(t - 1)*(t + 2)
Let h = 26/15 + 8/5. Factor -2/3*i**5 - 6*i**3 + h*i**4 + 14/3*i**2 + 0 - 4/3*i.
-2*i*(i - 2)*(i - 1)**3/3
Let m(u) be the first derivative of -u**6/360 + u**5/360 + u**4/36 - 5*u**3/3 - 2. Let a(q) be the third derivative of m(q). Determine k, given that a(k) = 0.
-2/3, 1
Suppose -5*p - 5*r + 15 = 0, 0 = -3*p + 3*r + 9. Factor 18/7*k**5 + 66/7*k**4 + 60/7*k**2 + 18/7*k + 2/7 + 92/7*k**p.
2*(k + 1)**3*(3*k + 1)**2/7
Suppose 0 = -3*m - 3*z - 2*z + 6, -z - 6 = -3*m. Let y be (5/((-75)/(-48)))/m. Factor y + 2/5*r**2 - 8/5*r.
2*(r - 2)**2/5
Let o(u) be the second derivative of -u**7/1680 + u**6/720 + u**5/240 - u**4/48 + u**3/3 + 3*u. Let j(n) be the second derivative of o(n). Factor j(h).
-(h - 1)**2*(h + 1)/2
Let w = 587 - 583. Let -1/3*x + 1/3*x**3 + 0 - 1/3*x**2 + 1/3*x**w = 0. Calculate x.
-1, 0, 1
Suppose 5*b + 16/3*b**2 - 6 + b**3 = 0. What is b?
-3, 2/3
Suppose p = -0*p + 3. Suppose p*h**2 - 1/4*h**5 + 3/2*h**4 + 0 - h - 13/4*h**3 = 0. Calculate h.
0, 1, 2
Factor 0 + 2/13*x**3 + 0*x**2 - 2/13*x.
2*x*(x - 1)*(x + 1)/13
Let b(n) = 5*n + 10. Let y be b(-2). Determine l, given that y + 0*l**2 - 1/4*l**3 + 0*l + 5/4*l**5 + l**4 = 0.
-1, 0, 1/5
Let j(i) be the first derivative of i**4/20 - i**3/15 + 8. What is z in j(z) = 0?
0, 1
Factor 2*s + 2/3*s**4 - 2*s**3 + 2/3*s**2 - 4/3.
2*(s - 2)*(s - 1)**2*(s + 1)/3
Let h(b) be the third derivative of 2*b**5/15 + 7*b**4/6 - 8*b**3/3 + 42*b**2. Factor h(y).
4*(y + 4)*(2*y - 1)
Determine b, given that 4/21 - 2/3*b + 10/21*b**2 = 0.
2/5, 1
Let m(q) be the second derivative of -2*q**6/15 + q**5/5 + q**4/3 - 2*q**3/3 - 2*q - 13. Factor m(g).
-4*g*(g - 1)**2*(g + 1)
Let r = -48839/120 + 407. Let y(m) be the third derivative of 0*m - m**2 + r*m**5 + 0 - 1/48*m**4 + 0*m**3. Factor y(s).
s*(s - 1)/2
Let u(f) be the second derivative of 1/6*f**3 + 1/12*f**4 + 0*f**2 - 1/20*f**5 + 0 - 1/30*f**6 - 6*f. Factor u(g).
-g*(g - 1)*(g + 1)**2
Suppose -2*o - 4 = -10. Determine r, given that 3*r**4 + r**5 + r**2 + 3*r**3 + 3*r**3 + 0*r**o - 3*r**3 = 0.
-1, 0
Suppose 0 = 4*c - 4. Suppose t + c = 2*t. Determine g, given that 6*g**4 + 3 + 16*g**4 - 5*g**5 - 38*g**3 - t + 31*g**2 - 13*g + g**2 = 0.
2/5, 1
Factor 16*g**3 - 10*g**2 - 12*g**3 - 16*g - 8 - 6*g**3.
-2*(g + 1)*(g + 2)**2
Let s(p) be the third derivative of -p**8/1008 + p**7/210 - p**6/360 - p**5/60 + p**4/36 + 11*p**2. Determine w so that s(w) = 0.
-1, 0, 1, 2
Let d(x) be the third derivative of 0*x + 0*x**3 + 0 + 5*x**2 + 1/12*x**4 + 2/15*x**5. Factor d(t).
2*t*(4*t + 1)
Let u(k) be the first derivative of -2/9*k**3 + 2/3*k**4 + 0*k**2 + 0*k + 4. Determine i so that u(i) = 0.
0, 1/4
Suppose -9*s + 30 = -4*s. Let j be (1 + 0)/(3/s). Suppose -r**3 - r**2 - r**2 + r**2 + j*r = 0. Calculate r.
-2, 0, 1
What is r in -6/11*r + 0*r**2 + 2/11*r**3 - 4/11 = 0?
-1, 2
Let j(h) = -6*h**5 + 24*h**4 - 23*h**3 - 5*h**2 + 5*h + 5. Let d(x) = -3*x**5 + 12*x**4 - 11*x**3 - 2*x**2 + 2*x + 2. Let f(o) = -5*d(o) + 2*j(o). Factor f(s).
3*s**3*(s - 3)*(s - 1)
Let 8/9*f - 2/3 - 2/9*f**2 = 0. Calculate f.
1, 3
Let -8/19 - 6/19*a + 2/19*a**2 = 0. Calculate a.
-1, 4
Let x(u) be the third derivative of -u**7/14 + 2*u**6/3 - 17*u**5/12 + 5*u**4/6 - 26*u**2. Factor x(b).
-5*b*(b - 4)*(b - 1)*(3*b - 1)
Let k(w) = -w**3 - 10*w**2 - 8*w + 13. Let y be k(-9). Factor 3/4*d**2 + d - 1/4*d**y - 1 - 1/2*d**3.
-(d - 1)**2*(d + 2)**2/4
Let g = 465 + -925/2. Factor -b + 0 + g*b**4 + b**3 - 5/2*b**2.
b*(b - 1)*(b + 1)*(5*b + 2)/2
Let m(b) be the first derivative of 2 - 5/6*b**3 - 2*b - 2*b**2 - 1/8*b**4. Factor m(a).
-(a + 1)*(a + 2)**2/2
Let i(x) = -x**2 - 8*x + 12. Let k be i(-9). Factor -p**5 + 2*p**2 - 6*p**4 + p**4 + 4*p + 3*p**4 - k*p.
-p*(p - 1)*(p + 1)**3
Let c(b) = b**3 - 7*b**2 + 7*b - 3. Let d be c(6). Find a, given that 4*a**2 + 6*a**5 - 11*a**4 + 5*a**2 - d*a + 2*a**4 - 3*a**3 = 0.
-1, 0, 1/2, 1
Suppose -5*v = 2*g - 30, 0*g - v + 9 = g. Find h, given that 5*h**2 + g*h**2 - h**2 + 0*h**2 - 3*h**4 + 6*h = 0.
-1, 0, 2
Let s = -8 - -13. Solve -73*a**5 + 70*a**5 - 24*a + 429*a**4 - 366*a**3 - 132*a**s + 156*a**2 - 60*a**4 = 0 for a.
0, 2/5, 2/3, 1
Suppose 0 = -2*r - 10, -4*l + r + 0*r = -13. Suppose -1/5*s**l - 1/5 + 2/5*s = 0. What is s?
1
Factor -1/2*r**3 - 1/2 + 5/4*r**2 - 1/4*r.
-(r - 2)*(r - 1)*(2*r + 1)/4
Let c be 16/(0 + -2)*-2. Factor 5*o**3 + 4 - 8*o**3 - c*o - 5*o**3 + 20*o**2.
-4*(o - 1)**2*(2*o - 1)
Let w be (8/(-14))/((-2)/14). Let j(l) be the third derivative of 0*l + 0 + 0*l**w - 1/60*l**5 + 0*l**3 - 2*l**2. Factor j(r).
-r**2
Let q(z) be the first derivative of 1/2*z**4 - 2/5*z**2 - 1/5*z**6 + 0*z + 2 + 2/25*z**5 - 2/15*z**3. Suppose q(u) = 0. Calculate u.
-1, -2/3, 0, 1
Let o = -109 + 1309/12. Let j(d) be the third derivative of d**2 + o*d**4 - 1/105*d**7 + 0*d**3 + 0*d - 1/10*d**5 + 0 + 1/20*d**6. Factor j(m).
-2*m*(m - 1)**3
Let y(c) be the third derivative of c**5/20 + 3*c**4/8 - 2*c**3 - 6*c**2. Factor y(o).
3*(o - 1)*(o + 4)
Let q(k) be the first derivative of -k**5/20 + k**3/6 - k/4 - 17. Suppose q(g) = 0. What is g?
-1, 1
Let c(n) be the first derivative of n**3 - 4. Let h be c(-5). Factor -48*s + 12 + 2*s**3 - 3*s**5 + 21*s**4 + 0*s**5 - 56*s**3 - 3*s**3 + h*s**2.
-3*(s - 2)**2*(s - 1)**3
Let z(j) = j**4 + j**2 + j - 1. Let f(n) = -3*n**5 + 5*n**4 - 14*n**3 - 5*n + 5. Let g(b) = 5*f(b) + 30*z(b). Let g(x) = 0. Calculate x.
-1/3, 1
Let y(s) = -6*s**3 - s**2 - s. Let f be y(-1). Factor 0*k**4 + 2*k**3 + 4 + 2*k - 4*k - f*k**2 + 2*k**4.
2*(k - 1)**2*(k + 1)*(k + 2)
Let p(x) be the third derivative of x**7/210 - x**6/120 - x**5/20 + 5*x**4/24 - x**3/3 + 22*x**2. Determine c so that p(c) = 0.
-2, 1
Let q(l) be the second derivative of 0 + l - 1/3*l**4 + 0*l**2 - 2/3*l**3 - 1/20*l**5. Determine k so that q(k) = 0.
-2, 0
Let j(x) be the first derivative of x**6/900 - x**4/60 - x**3/3 + 3. Let g(b) be the third derivative of j(b). Factor g(m).
2*(m - 1)*(m + 1)/5
Let x(z) be the third derivative of -z**8/168 + z**7/105 + z**6/30 - z**5/15 - z**4/12 + z**3/3 + z**2. Solve x(w) = 0 for w.
-1, 1
Factor 0*c - 6*c**2 + 11*c**2 - 10*c.
5*c*(c - 2)
Let i(o) be the second derivative of o**5/70 - o**3/21 + 8*o. Solve i(y) = 0 for y.
-1, 0, 1
Suppose 39*u - 34*u = 0. Factor u + 1/2*h**3 - 1/2*h**2 + 0*h.
h**2*(h - 1)/2
Factor -2/11*y**2 - 18/11 - 12/11*y.
-2*(y + 3)**2/11
Let o = -109/3 + 37. Let l(h) be the second derivative of 9/25*h**6 + 1/5*h**2 + 0 + 27/25*h**5 + o*h**3 + 3*h + 6/5*h**4. Solve l(a) = 0 for a.
-1, -1/3
Let m(f) be the first derivative of -f**6/1080 + f**5/180 - f**4/72 + 2*f**3/3 + 1. Let l(b) be the third derivative of m(b). Solve l(q) = 0.
1
Let a(z) = -20*z**5 - 66*z**4 - 82*z**3 - 46*z**2 -