of -25*f**7/42 + 5*f**6/6 - f**5/3 + 11*f**2. Suppose o(i) = 0. Calculate i.
0, 2/5
Let x(g) be the second derivative of -g**10/226800 - g**9/113400 - 3*g**4/4 + 9*g. Let z(h) be the third derivative of x(h). Factor z(s).
-2*s**4*(s + 1)/15
Let u(i) = i - 1. Let r be 0/(-3)*(-2)/(-4). Let s = r - -6. Let c(f) = 10*f**2 + 10*f - 6. Let t(m) = s*u(m) - c(m). Factor t(x).
-2*x*(5*x + 2)
Let f be (10/15)/(4/18). Factor 51*r**4 + 3*r**5 - 19*r**4 + 11*r**5 + 22*r**f + 4*r**2.
2*r**2*(r + 1)**2*(7*r + 2)
Suppose -19 = -o - 17. Suppose 5*p - 1 = -3*a, p = a + o*a + 11. Factor 0 + 2/5*s**5 + 0*s**3 + 0*s + 0*s**p - 2/5*s**4.
2*s**4*(s - 1)/5
Let l(x) be the second derivative of 12*x**6/55 + 53*x**5/110 + 19*x**4/66 + 2*x**3/33 - 7*x. Find i such that l(i) = 0.
-1, -1/4, -2/9, 0
Let d(q) be the first derivative of -q**4/6 - 4*q**3/3 - 4*q**2 - 2*q - 3. Let n(x) be the first derivative of d(x). Factor n(w).
-2*(w + 2)**2
Suppose 0*m = -4*m + 76. Suppose 11*o + m*o - 4*o**2 - 22*o = 0. Calculate o.
0, 2
Let w(x) be the second derivative of x**9/5040 - x**7/105 + 2*x**5/5 - 3*x**4/4 - 8*x. Let g(v) be the third derivative of w(v). Factor g(i).
3*(i - 2)**2*(i + 2)**2
Let j(y) be the third derivative of y**8/141120 + y**7/35280 - y**6/2520 - y**5/10 - 4*y**2. Let n(x) be the third derivative of j(x). Solve n(s) = 0.
-2, 1
Let h = -3/664 + 50473/1992. Let w = -368/15 + h. Factor 2/5*r**3 - w*r**2 + 0*r + 2/5*r**4 + 0.
2*r**2*(r - 1)*(r + 2)/5
Let q(b) be the first derivative of 3*b**4/4 + 3*b**3 - 12*b - 10. Find l, given that q(l) = 0.
-2, 1
Let h(g) be the second derivative of g**6/120 - g**5/20 + g**3/3 - 5*g. Let r(b) be the second derivative of h(b). Factor r(q).
3*q*(q - 2)
Factor -4/5 + 2/5*u**2 - 2/5*u.
2*(u - 2)*(u + 1)/5
Let d be 12/(-3) + 175/42. Let i(a) be the second derivative of 0 + 0*a**2 + 0*a**3 + a + d*a**4. Find h such that i(h) = 0.
0
Factor 3/4*w**2 + 0 - 13/8*w**3 + 3/2*w**4 - 1/2*w**5 - 1/8*w.
-w*(w - 1)**2*(2*w - 1)**2/8
Let q be 0/(3/12 - 18/(-24)). Determine d, given that 0*d - 1/2*d**2 + q - 1/2*d**3 = 0.
-1, 0
Let l(c) be the second derivative of -c**7/252 + c**6/45 - c**5/30 - c**4/36 + 5*c**3/36 - c**2/6 + 3*c. Factor l(y).
-(y - 2)*(y - 1)**3*(y + 1)/6
Suppose -4*j = 4*m + 36, 0 = -3*m + 2*m - 5. Let p be ((-52)/(-28) - -3) + j. What is h in 2/7*h**4 + 6/7*h**2 + 0 - p*h**3 - 2/7*h = 0?
0, 1
Let s be 2/(((-12)/10)/(-3)). Suppose 2*g = -4*f + 2 + 22, -2*g + 28 = s*f. Factor -4*d**3 + 6*d - 4*d + d**3 - g*d**2 + 5*d**3.
2*d*(d - 1)**2
Let b(q) be the third derivative of -2*q**8/35 + 8*q**7/75 + 29*q**6/300 - 9*q**5/25 + 19*q**4/60 - 2*q**3/15 - 18*q**2. Find d such that b(d) = 0.
-1, 1/4, 2/3, 1
Factor 2/13*o**4 + 4/13*o + 10/13*o**2 + 0 + 8/13*o**3.
2*o*(o + 1)**2*(o + 2)/13
Let m be (-14)/2 + (-1 - -1). Let x be (-4)/14 + (-2)/m. Solve -1/4*d**2 + 0 + x*d = 0 for d.
0
Let o be (4*(-11)/132)/(1/(-6)). Let 1/2*i**2 + o - 2*i = 0. What is i?
2
Let s = 0 + 4. Determine k, given that 3*k**s + 0*k**2 - 2*k**3 - k - k**5 - 1 + k**2 + 4*k - 3*k**2 = 0.
-1, 1
Let 0*o**5 + 5*o + 5*o**5 - 10*o**3 + 20*o**2 - 36 + 26 - 10*o**4 = 0. Calculate o.
-1, 1, 2
Let i(f) be the third derivative of -f**2 + 1/90*f**5 + 0*f**4 + 0*f + 0 - 1/9*f**3. What is q in i(q) = 0?
-1, 1
Let g(d) be the third derivative of 0 + 0*d**3 + 0*d - 1/150*d**5 - 4*d**2 - 1/120*d**4 + 1/525*d**7 + 1/1680*d**8 + 0*d**6. Determine p so that g(p) = 0.
-1, 0, 1
Factor 28/3*k**3 + 6*k + 2/3*k**5 - 4/3 - 4*k**4 - 32/3*k**2.
2*(k - 2)*(k - 1)**4/3
Let l be 720/112 - (-6)/(-2). Find p such that 8/7*p + 50/7*p**5 + l*p**2 - 22/7*p**3 + 0 - 60/7*p**4 = 0.
-2/5, 0, 1
Let t(z) = -z**2 - z + 2. Let d(g) = -g**2 + 1. Let o(p) = -3*d(p) + t(p). Let n be o(2). Find x such that 2*x**5 - 3*x**3 + 3*x**4 + n*x**3 - 7*x**4 = 0.
0, 1
Factor -1/4*h**2 - 3/4*h + 0.
-h*(h + 3)/4
Suppose -2*a - 3*n = -8, n = -a - 1 + 4. Let i be (a/(-10))/((-17)/34). Factor 0 + 0*u**2 - 1/5*u**3 + i*u.
-u*(u - 1)*(u + 1)/5
Suppose 0*q = 4*q + 16. Let d = q + 12. Factor -3*k**4 + 146*k**4 + 56*k + 26*k**2 + d - 252*k**3 + 19*k**4.
2*(k - 1)**2*(9*k + 2)**2
Find t, given that 5*t + 9 + 4*t + 3*t**2 - t + 4*t = 0.
-3, -1
Let f(a) be the second derivative of -a**4/18 - 2*a**3/3 - 8*a**2/3 - 19*a. Solve f(c) = 0.
-4, -2
Factor 2*c**2 + 1 - c**4 + 2*c**4 - 4*c**2.
(c - 1)**2*(c + 1)**2
Let b(q) = -6*q. Let j be b(-6). Let a(s) be the first derivative of -36*s**3 - j*s**2 - 27/2*s**4 + 4 - 16*s. Factor a(u).
-2*(3*u + 2)**3
Let p(k) be the first derivative of -k**6/16 + 21*k**5/40 - 27*k**4/16 + 5*k**3/2 - 3*k**2/2 - 4. Suppose p(b) = 0. Calculate b.
0, 1, 2
Suppose -5*q = -6 - 14. What is c in -6*c**2 + 4*c**4 + 2 - c + q*c**3 - 16*c**5 + 23*c**5 - 10*c**5 = 0?
-1, -2/3, 1
Let n(q) be the third derivative of q**9/211680 - q**8/23520 + q**7/8820 + q**5/10 + q**2. Let d(y) be the third derivative of n(y). Let d(x) = 0. Calculate x.
0, 1, 2
Let q(m) be the first derivative of -2 - 1/20*m**5 - 1/12*m**4 - 1/18*m**3 + m**2 + 0*m. Let s(r) be the second derivative of q(r). Factor s(z).
-(3*z + 1)**2/3
Let f = 144 - 142. Factor 2/3*k**f + 0 + 10/3*k**4 - 16/3*k**3 + 4/3*k.
2*k*(k - 1)**2*(5*k + 2)/3
Suppose -19 = 2*a - 63. Let i = -19 + a. Factor 48*s**2 + 32*s + 32/5 - 54*s**4 - 162/5*s**5 + 0*s**i.
-2*(s - 1)*(3*s + 2)**4/5
Let g(b) be the second derivative of -b**6/39 - 3*b**5/130 + b**4/39 - 21*b. Factor g(x).
-2*x**2*(x + 1)*(5*x - 2)/13
Let w be 7 - (115/15 - 2). Factor -10/3*f - 4/3 - w*f**2.
-2*(f + 2)*(2*f + 1)/3
Find r such that -3/5*r**4 + 0 + 0*r**2 + 3/5*r**5 - 6/5*r**3 + 0*r = 0.
-1, 0, 2
Let k(b) be the third derivative of b**7/105 + b**6/15 + 2*b**5/15 + b**2. Factor k(v).
2*v**2*(v + 2)**2
Suppose 2*o + 3*o = 0. Let d(u) be the second derivative of 0 - 1/10*u**5 + 0*u**3 - u - 1/6*u**4 + o*u**2. Factor d(b).
-2*b**2*(b + 1)
Let q be (1/16)/(15/60). Factor -q*d + 0 + 1/4*d**2.
d*(d - 1)/4
Factor -1/4*a**2 + 1/4 + 0*a.
-(a - 1)*(a + 1)/4
Let v(w) be the second derivative of 1/30*w**6 + 1/6*w**3 - 1/12*w**4 - 1/20*w**5 - 3*w + 0 + 0*w**2. Suppose v(g) = 0. What is g?
-1, 0, 1
Determine i, given that -8/3*i**3 - 1/9*i**5 - 34/9*i**2 - 2/3 - 23/9*i - 8/9*i**4 = 0.
-3, -2, -1
Let o(r) be the first derivative of r**6/180 - r**5/30 - 5*r**3/3 + 3. Let c(s) be the third derivative of o(s). Let c(p) = 0. Calculate p.
0, 2
Suppose j - 2 = -0*j. Factor 0*t**3 + 0*t**j + t**3 + t**2.
t**2*(t + 1)
Let x(p) be the first derivative of -15/4*p**4 - 6*p - 21/2*p**2 - 9*p**3 - 3/5*p**5 + 2. Solve x(n) = 0.
-2, -1
Let k = -14 + 141/10. Let u(c) be the first derivative of 4 + 0*c**2 + 0*c + k*c**4 + 2/15*c**3. Factor u(s).
2*s**2*(s + 1)/5
Suppose 5*l = 3*h - 2*h, 5*h = 2*l. Let v = 95 - 284/3. Factor -1/3*x + h - 1/3*x**2 + v*x**3 + 1/3*x**4.
x*(x - 1)*(x + 1)**2/3
Let u(k) = -k**3 + 10*k**2 + 13*k - 18. Let z be u(11). Factor 0*a + 3*a**3 - 2/3*a**2 - 4/3*a**z + 0.
-a**2*(a - 2)*(4*a - 1)/3
Let i be (-2)/(-8) + (-25)/20. Let g be (i - 5/(-2))*2. Find t such that -2*t**4 + 2*t**5 + 2*t**g + 6*t**4 + 0*t**5 = 0.
-1, 0
Let k = -1433141015/492 + 2912891. Let d = -1/123 + k. Factor -d*w**2 + 1 + 3*w + 25/4*w**4 - 15/2*w**3.
(w - 1)**2*(5*w + 2)**2/4
Suppose 0*b + 2*b = -2*b. Let x(t) be the first derivative of b*t - 2 + 0*t**2 + 2/27*t**3. Factor x(v).
2*v**2/9
Let b(r) = -3*r**3 + 14*r**2 - 14*r + 2. Let c(f) = -3*f**3 + 15*f**2 - 15*f + 3. Let w(s) = 3*b(s) - 2*c(s). Factor w(i).
-3*i*(i - 2)**2
Let i(f) be the third derivative of -f**9/4536 - f**8/1260 - f**7/1260 + f**3/6 - f**2. Let x(l) be the first derivative of i(l). Factor x(z).
-2*z**3*(z + 1)**2/3
Let s(z) = 5*z**3 - 10*z**2 + 5*z + 3. Let y(c) = 21*c**3 - 40*c**2 + 19*c + 13. Let m(j) = -26*s(j) + 6*y(j). Factor m(g).
-4*g*(g - 4)*(g - 1)
Let m(o) be the third derivative of -289*o**5/140 - 51*o**4/28 - 9*o**3/14 + 25*o**2. Factor m(d).
-3*(17*d + 3)**2/7
Suppose -y = 2*j - 35, 3 = -y - 0. Suppose 0 = -2*t - 2*a + 8, 5*a + j = 5*t - 1. Find q such that 0*q**t - q**3 - q**4 + 3*q**4 - q**4 = 0.
0, 1
Let q(c) be the third derivative of c**8/112 - c**7/210 - 3*c**6/40 + 3*c**5/20 - c**4/12 + 7*c**2. Factor q(a).
a*(a - 1)**2*(a + 2)*(3*a - 1)
Let i(n) be the first derivative of -n**5 - 2*n**4/3 - n - 6. Let z(v) be the first derivative of i(v). Solve z(a) = 0.
-2/5, 