rst derivative of -1/3*a**3 - 1 - 6/5*a**5 + 9/8*a**4 + 0*a + 5/12*a**6 + 0*a**c. Suppose y(h) = 0. What is h?
0, 2/5, 1
Let x = 81 + -76. Let i(c) be the first derivative of 1/12*c**4 + 1/9*c**3 + 2 - 1/15*c**x - 1/6*c**2 + 0*c. Factor i(r).
-r*(r - 1)**2*(r + 1)/3
Let r be (3/(-3) - 1) + (-24)/(-10). Factor 0 + 0*w + r*w**3 - 2/5*w**2 - 2/5*w**5 + 2/5*w**4.
-2*w**2*(w - 1)**2*(w + 1)/5
Let r(t) be the first derivative of 2/13*t + 2/65*t**5 + 4 + 2/13*t**4 + 4/13*t**3 + 4/13*t**2. Determine k so that r(k) = 0.
-1
Let 0 - 4/3*c + 2/3*c**2 = 0. What is c?
0, 2
Suppose 5*l - 3 = 7. Let 5*f**4 + f**4 + 0*f**5 + 3*f**3 + f**5 + l*f**5 = 0. What is f?
-1, 0
Let i(j) be the second derivative of j**5/60 - j**4/16 - j**3/6 + j**2 + j. Let h(k) be the first derivative of i(k). Find w, given that h(w) = 0.
-1/2, 2
Suppose -1/2*y**2 + 1/2*y**5 + 0 - 1/2*y**3 + 1/2*y**4 + 0*y = 0. Calculate y.
-1, 0, 1
Let j(i) = i**4 - i**3 - i. Let o(r) = -5*r - r**5 - r**5 - 3*r**5 - 5*r**3 + 3*r**5 + 5*r**4. Let f(p) = -5*j(p) + o(p). Factor f(x).
-2*x**5
Let w(l) = -l**3 - 7*l**2 - 1. Let u be w(-7). Let f be (0 + u)*(-1 - 2). Let 0 - 1/2*h**2 - 1/2*h**5 + 1/2*h**4 + 3/2*h**f - h = 0. What is h?
-1, 0, 1, 2
Let x = -2 + 8. Factor -x*o**4 + o**3 + 4*o**2 + o + 2*o**5 + 2 + 3*o**3 - 7*o.
2*(o - 1)**4*(o + 1)
Let y be (-1 + 1)/(3/2*-2). Suppose 2*z = z + 1. Factor n**2 - z + y + 0.
(n - 1)*(n + 1)
Find j, given that 1/3*j + 2*j**2 + 5/3*j**3 + 0 = 0.
-1, -1/5, 0
Let f(p) = -p**3 + 8*p**2 - p + 8. Suppose -2*n = -n - 8. Let s be f(n). Determine y so that s + 1/3*y - 1/3*y**2 = 0.
0, 1
Let t(o) be the third derivative of -o**6/24 - o**5/12 + 10*o**4/3 - 50*o**3/3 + 11*o**2. Factor t(z).
-5*(z - 2)**2*(z + 5)
Suppose 3*n - c = 3, 4*c - 1 = 4*n + c. Factor 2*d + 2*d - 3 - 2*d**n + 1.
-2*(d - 1)**2
Let j = 853 - 5959/7. Factor -12/7*n + j - 3/7*n**2 + 3/7*n**3.
3*(n - 2)*(n - 1)*(n + 2)/7
Let s(v) be the second derivative of v**4/54 - 2*v**3/27 - v**2/3 - 9*v. Factor s(a).
2*(a - 3)*(a + 1)/9
Let w = 2540/9 - 282. Solve -2/9*k**4 - 2/9*k - 2/9 + 4/9*k**3 + 4/9*k**2 - w*k**5 = 0 for k.
-1, 1
Let d = 376 - 373. Let g = 13/44 - 1/22. Factor 7/4*s**2 + 9/4 + g*s**d + 15/4*s.
(s + 1)*(s + 3)**2/4
Solve -8/3*b + 8/3 + 2/3*b**2 = 0.
2
Let o(r) be the third derivative of -3*r**2 + 0*r**4 + 0 + 0*r + 1/840*r**8 + 0*r**3 - 1/300*r**6 + 1/150*r**5 - 1/525*r**7. Determine i, given that o(i) = 0.
-1, 0, 1
Let d(z) be the first derivative of -z**3/24 + z**2/4 - z/2 + 8. Let d(q) = 0. What is q?
2
Let l(r) = r + 8. Let u be l(-6). Let s be 0/11*u/4. Factor 2/9*h**3 - 2/9*h + 0*h**2 + s.
2*h*(h - 1)*(h + 1)/9
Let y(v) be the first derivative of -3*v**4/4 + 4*v**3 - 15*v**2/2 + 6*v - 10. Find n such that y(n) = 0.
1, 2
Let o(x) be the second derivative of -x**5/80 + x**4/24 - x**3/24 - 5*x. Solve o(n) = 0.
0, 1
Let d(n) be the first derivative of 2*n**3/5 - 4*n**2/5 + 2*n/5 + 4. Solve d(p) = 0.
1/3, 1
Let c(v) be the first derivative of -v**4 - 8*v**3/3 - 2*v**2 + 14. Let c(d) = 0. Calculate d.
-1, 0
Let y(q) be the second derivative of -q**5/170 - q**4/34 + 4*q**2/17 + 5*q + 2. Factor y(f).
-2*(f - 1)*(f + 2)**2/17
Let u(l) be the first derivative of -1/15*l**5 + 0*l**2 + 0*l**4 + 1/9*l**3 + 5 + 0*l. Suppose u(k) = 0. Calculate k.
-1, 0, 1
Determine c so that 15/7 - 27/7*c - 6/7*c**2 - 9/7*c**4 + 30/7*c**3 - 3/7*c**5 = 0.
-5, -1, 1
Factor -4 + 12*a + 5 - 3*a**2 - 13.
-3*(a - 2)**2
Let k = 5468/3 - 1807. Let a = k + -15. Factor a*f**2 + 2/3*f**3 - 2/3 - 2/3*f.
2*(f - 1)*(f + 1)**2/3
Suppose -2/11*t**2 + 0*t - 4/11*t**3 + 0 - 2/11*t**4 = 0. Calculate t.
-1, 0
Let j(k) = -k**3 + 0*k**3 + 0*k**3. Let p(n) = -9*n**3 + 4*n**2 + 4*n - 4. Let b(w) = -5*j(w) + p(w). Suppose b(x) = 0. What is x?
-1, 1
Let j = 268 - 153. Let k = -573/5 + j. Factor -4/5*r**3 - k*r**4 + 2/5*r**2 + 0 + 4/5*r.
-2*r*(r - 1)*(r + 1)*(r + 2)/5
Suppose -3/2*w + 3*w**3 + 0 + 0*w**2 - 3/2*w**5 + 0*w**4 = 0. Calculate w.
-1, 0, 1
Let m(j) be the first derivative of 5*j**3/3 - 15*j**2 + 25*j - 12. Suppose m(c) = 0. What is c?
1, 5
Factor -54/5 - 50*i**3 - 90*i**2 - 54*i.
-2*(5*i + 3)**3/5
Let m(u) = 5*u**2 + 100*u - 505. Let l(s) = -2*s**2 + 1. Let b(k) = 5*l(k) + m(k). Factor b(x).
-5*(x - 10)**2
Let s(g) = g**3 + 3*g**2 - 6*g - 6. Let l be s(-4). Factor 2*d**2 + l*d + 3*d**2 + 0*d**2 - 4*d**2.
d*(d + 2)
Factor -9*k**2 + 15*k + 2*k**2 - 3 - k**2 - 4*k**2.
-3*(k - 1)*(4*k - 1)
Solve 8*a - 7*a**2 - 13*a**2 + 24*a**2 + 4 = 0.
-1
Let h be 0*((-12)/(-9) + -1). Let v(r) be the third derivative of -1/15*r**3 + 1/300*r**5 + h*r - 1/120*r**4 + 0 + 3*r**2. Suppose v(p) = 0. What is p?
-1, 2
Let k = -129551/5002 - 2/12505. Let i = k + 59/2. Factor 4/5*x**2 - i*x**4 - 14/5*x**3 + 0*x + 0.
-2*x**2*(x + 1)*(9*x - 2)/5
Let q be (2/22)/((-24)/(-66)). Let -3/2*f**2 + q - 5/4*f = 0. What is f?
-1, 1/6
Let c(v) be the third derivative of -v**9/8640 + v**8/1680 + v**7/1260 - v**5/30 + v**2. Let y(m) be the third derivative of c(m). What is i in y(i) = 0?
-2/7, 0, 2
Determine k so that -4/7*k**2 - 12/7*k**3 - 2/7*k**5 + 10/7*k**4 + 2*k - 6/7 = 0.
-1, 1, 3
Let k(s) = s + 18. Let o be k(-15). Factor -5*y**o + 1 - 1 - 4*y**5 + 8*y**4 + y**3.
-4*y**3*(y - 1)**2
Let o be (85/30)/17 + (-5)/(-42). Factor -4/7 + o*w**2 + 2/7*w.
2*(w - 1)*(w + 2)/7
Let t = 15 + -16. Let o be (1 + t)*7/7. Find p such that o - 2/5*p**2 - 2/5*p = 0.
-1, 0
Let q(v) = 7*v**4 - 15*v**3 + 11*v**2 - 3*v + 1. Let h(z) = z**4 - z**3 - z**2 + z - 1. Let d(p) = -h(p) - q(p). Let d(m) = 0. Calculate m.
0, 1/2, 1
Let c(b) = b**2 + 20*b + 19. Let z(k) = -4*k**2 - 60*k - 56. Let q(h) = 16*c(h) + 5*z(h). Factor q(j).
-4*(j - 6)*(j + 1)
Let u(n) be the third derivative of n**5/60 + n**4/12 + 18*n**2. Factor u(z).
z*(z + 2)
Let k = -6 - -8. Solve 16*q - 17*q**2 + 7*q**k + 5*q**3 - 3*q**3 - 8 = 0.
1, 2
Factor 1/4*s**2 - 1/4*s + 0.
s*(s - 1)/4
Suppose 3*o - 7 = 5. Suppose -r - 6 = 2*r + o*v, -5*r - v = -7. Solve -4 + 0*q + 0*q + 6 - r*q**2 = 0.
-1, 1
Factor 11*p**5 - 3*p**5 - 6*p**5 - 6*p**5.
-4*p**5
Let g(h) be the third derivative of -h**6/420 - h**5/70 + 4*h**3/21 + 5*h**2. Find v, given that g(v) = 0.
-2, 1
Suppose -j - 8 = -3*j. Suppose -4*s - 2*s**j - s**2 + 4*s**3 - 2*s**2 + s**4 + 4 = 0. Calculate s.
-1, 1, 2
Suppose -2 = -a - 0. Let u = a + 5. Determine j, given that 7*j - u*j + j**3 + j**2 = 0.
-1, 0
Let s = -3 - -5. Let t be 5/s*(-24)/(-20). Factor 2*w**2 - 4 + 1 - 3 + 4 - w + w**t.
(w - 1)*(w + 1)*(w + 2)
Let k(x) be the third derivative of x**5/60 + x**4/12 - x**3/2 - 6*x**2. Find g such that k(g) = 0.
-3, 1
Let w = -7/22 - -65/66. Factor -1/3*o - 1/3*o**3 + w*o**2 + 0.
-o*(o - 1)**2/3
Determine i, given that -2/5 + 2/5*i**2 + 0*i = 0.
-1, 1
Let c(s) = -s**3 + 6*s**2. Let w be c(6). Let k(v) = v**2 + 6*v + 4. Let r be k(-6). Factor -n**5 + 0*n**5 + w*n**3 - n**3 - 2*n**r.
-n**3*(n + 1)**2
Suppose 3*t + 1/2*t**2 - 11/4*t**3 + 3/2*t**4 - 1/4*t**5 - 2 = 0. Calculate t.
-1, 1, 2
Let s(m) be the first derivative of -2 + 0*m + 4/5*m**5 - 5/4*m**4 + 0*m**2 + 2/3*m**3 - 1/6*m**6. Factor s(t).
-t**2*(t - 2)*(t - 1)**2
Let o = 286/125 - 12361/125. Let q = o + 97. Factor -2/5 - 6/5*k**2 + q*k**3 + 6/5*k.
2*(k - 1)**3/5
Let b(c) = 2*c**2 + 2*c - 4. Let a be b(-2). Factor 1/3*w**2 - 1/3*w**4 + a*w + 0*w**3 + 0.
-w**2*(w - 1)*(w + 1)/3
Let b(q) be the first derivative of 3*q**4/32 + 3*q**3/4 + 27*q**2/16 + 3*q/2 - 17. Solve b(i) = 0.
-4, -1
Let l = 3399/5 - 679. Factor 0 + 2/5*f**3 + l*f**2 + 0*f.
2*f**2*(f + 2)/5
Let g(q) be the second derivative of 1/15*q**3 + 7*q + 0 + 1/20*q**4 + 1/100*q**5 + 0*q**2. Let g(d) = 0. Calculate d.
-2, -1, 0
Let k = 8 + -23. Let q be ((-3)/k)/(2/4). Solve -q - 4/5*t**3 + 2/5*t**4 + 0*t**2 + 4/5*t = 0 for t.
-1, 1
Let j be (-1)/2*5/(-20). Let a(u) be the second derivative of 2*u - 1/4*u**3 + 0 + j*u**4 - 1/40*u**5 + 1/4*u**2. Factor a(i).
-(i - 1)**3/2
Let c(s) be the third derivative of 2*s**7/525 - 3*s**6/200 + s**5/150 - 7*s**2. Factor c(v).
v**2*(v - 2)*(4*v - 1)/5
Let g = 1/24 - -31/24. Factor g*o + 1/3*o**2 + 4/3.
(o + 2)**2/3
Let d be 1*3 - (7 + -6). Factor -q + d*q**5 - q + 2*q.
2*q**5
Suppose 3 = 4*r - 9. Suppose 14 = -5*j - 1, 5 = -2*t - r*j. Factor -4*i**3 - 6*i - 2 - 1 + t - 9*i**2.
-(i + 1)**2*(4*i + 1)
Let r = 223/2 - 111. What is j in 0*j + 0 + 