-2*(f - 1)**2*(7*f - 2)/9
Let u(t) be the second derivative of -4*t + 0*t**2 + 0 - 1/5*t**5 - 4/3*t**3 - t**4. Let u(l) = 0. What is l?
-2, -1, 0
Let b be 93/(-31)*(-2)/3. Solve 9*c**3 + c**b + 81/4*c**4 + 0 + 0*c = 0 for c.
-2/9, 0
Let x(z) be the first derivative of -z**4/14 - 2*z**3/7 + 13. Factor x(m).
-2*m**2*(m + 3)/7
Let b(s) be the first derivative of -4/21*s**3 + 1/7*s**2 + 0*s + 1/14*s**4 + 7. Solve b(a) = 0 for a.
0, 1
Factor 2/7*p**2 - 2/7*p**3 + 0 + 0*p.
-2*p**2*(p - 1)/7
Let r(g) be the second derivative of -1/21*g**7 - 16/3*g**3 + 16/3*g**4 + 8/15*g**6 + 0*g**2 + 9*g + 0 - 12/5*g**5. Factor r(j).
-2*j*(j - 2)**4
Let z(m) be the third derivative of -1/12*m**4 + 0 - 3*m**2 - 1/30*m**5 - 1/9*m**3 + 0*m - 1/180*m**6. Factor z(l).
-2*(l + 1)**3/3
Let g(f) = 337*f**2 + 78*f - 7. Let d(w) = -505*w**2 - 117*w + 10. Let x(l) = 5*d(l) + 8*g(l). Factor x(o).
3*(3*o + 1)*(19*o - 2)
Factor 2*b**2 + 0*b**2 - b**3 - 6*b**2 + 3*b**2.
-b**2*(b + 1)
Let p(r) be the third derivative of -r**8/1008 + r**6/120 + r**5/90 + 2*r**2. Find z such that p(z) = 0.
-1, 0, 2
Let v(l) be the second derivative of -l**5/20 - 5*l**4/12 - 5*l**3/6 + l**2/2 - 3*l. Let r be v(-4). Factor 0*h + 2/3*h**3 + 0 - 4/3*h**4 + 0*h**2 + 2/3*h**r.
2*h**3*(h - 1)**2/3
Let c(h) be the third derivative of h**6/60 - h**5/15 - 6*h**2. What is b in c(b) = 0?
0, 2
Let k = 8 - 23/3. Let p(i) = -i + 4. Let n be p(4). Let -1/3*q**4 - 1/3*q + k*q**2 + n + 1/3*q**3 = 0. Calculate q.
-1, 0, 1
Let f be 8/(-10)*(-5)/14. Factor 0*s**3 + 0*s**2 + 0*s + 0 + f*s**5 - 2/7*s**4.
2*s**4*(s - 1)/7
Let k(o) be the third derivative of o**7/525 - o**6/300 - 2*o**5/75 + o**4/15 - 2*o**2. Factor k(c).
2*c*(c - 2)*(c - 1)*(c + 2)/5
Let c = -113 + 117. Let g(i) be the second derivative of 0 + 1/54*i**c + 3*i - 1/27*i**3 + 0*i**2. Factor g(q).
2*q*(q - 1)/9
Let x(t) = t**3 - 7*t**2 + 10*t - 9. Let g be x(6). Suppose 0 = -2*j - 3*j + g. Factor -j*m - 4*m**4 - 2*m**5 + 3*m + 2*m + 4*m**2.
-2*m*(m - 1)*(m + 1)**3
Let w be -1 - 1 - (2 - 0). Let p be w/3*(-3)/2. Let -3*g**p + 2*g**2 - g**2 + 2 = 0. Calculate g.
-1, 1
Let z = 2 + 1. Factor n**3 - n**4 + 2*n**z - 2*n**2 + 0*n**2.
-n**2*(n - 2)*(n - 1)
Let o(b) = 3*b - 102. Let g be o(35). Factor 0*i + 12/7*i**g + 8/7*i**5 + 0 + 18/7*i**4 + 2/7*i**2.
2*i**2*(i + 1)**2*(4*i + 1)/7
Factor 2*r**2 - r**4 + 4*r**4 - 2*r**4 - 3*r**3.
r**2*(r - 2)*(r - 1)
Factor i**2 - 7*i**2 - i**4 + 6*i**3 + 2*i - i**4.
-2*i*(i - 1)**3
Factor 1/7*t**2 - 1/7*t**4 + 0 - 2/7*t**3 + 2/7*t.
-t*(t - 1)*(t + 1)*(t + 2)/7
Let q(l) be the first derivative of l - 1/40*l**5 + 0*l**3 + 0*l**2 - 1/24*l**4 + 2. Let x(u) be the first derivative of q(u). Find f such that x(f) = 0.
-1, 0
Find n such that -2*n**4 + 2*n**4 + 2*n**5 + 2*n**4 - 4*n**4 = 0.
0, 1
Let a be 3/9 + 16/6. Let j(w) be the second derivative of -1/15*w**a + 0 + 1/50*w**5 + 2/5*w**2 + 3*w - 1/15*w**4. Factor j(q).
2*(q - 2)*(q - 1)*(q + 1)/5
Let f be (4/12)/((-2)/(-12)). Let i(z) = z**2 + z - 2. Let g(s) = s**2 + 3*s - 4. Let v(k) = f*g(k) - 5*i(k). Factor v(y).
-(y - 1)*(3*y + 2)
Let k be 1 - 6/9 - -1. What is s in 0*s - k*s**2 + 0 - 2/3*s**3 + 2/3*s**4 = 0?
-1, 0, 2
Let u(l) be the third derivative of -l**8/4480 - l**7/840 - l**6/480 - 5*l**4/24 + 2*l**2. Let y(a) be the second derivative of u(a). Factor y(r).
-3*r*(r + 1)**2/2
Let n = -4207/4 + 1052. Let t = -33/28 - -10/7. Solve 0 - t*j**2 - n*j = 0.
-1, 0
Let y(b) be the third derivative of b**7/105 + 4*b**6/105 + 11*b**5/210 + b**4/42 - 4*b**2. Suppose y(x) = 0. What is x?
-1, -2/7, 0
Suppose 4*l = -q, -9*q = -5*l - 5*q. Factor l + 1/3*c**2 - 1/3*c.
c*(c - 1)/3
Let z = -17 + 17. Let v(u) be the third derivative of z*u - 2*u**2 + 1/72*u**4 + 1/180*u**5 + 0 + 0*u**3. Determine w so that v(w) = 0.
-1, 0
Let v be (-10)/20 + 15/6. Factor 2/3 - 8/3*j**v - 2*j.
-2*(j + 1)*(4*j - 1)/3
Let b(d) be the first derivative of d**6/180 - d**5/90 - d**4/18 - 3*d**2/2 + 2. Let n(y) be the second derivative of b(y). Let n(g) = 0. What is g?
-1, 0, 2
Factor -d - 1/4*d**5 - 1/2*d**4 + 3/4*d**3 + d**2 + 0.
-d*(d - 1)**2*(d + 2)**2/4
Suppose 16 = 5*k - k. Suppose -3/2*r**k - 1/2*r**2 - 2*r**3 + 0 + 0*r = 0. Calculate r.
-1, -1/3, 0
Let w = 12 + -10. Let p(h) = -16*h**2 + 4*h + 2. Let j(f) = 6*f - 5*f + f**2 - 2*f**2. Let c(m) = w*p(m) - 18*j(m). Determine n, given that c(n) = 0.
-1, 2/7
Let s(m) be the third derivative of 0*m**5 - 2*m**2 + 0*m**3 + 1/112*m**8 + 0*m**4 + 0 - 1/210*m**7 + 0*m + 0*m**6. Find o, given that s(o) = 0.
0, 1/3
Suppose i - 2*i = -3*z - 12, i + z = 0. Factor 2/5*n**5 - 4/5*n**2 - 4/5*n**i + 2/5*n**4 + 2/5 + 2/5*n.
2*(n - 1)**2*(n + 1)**3/5
Let f be ((-2)/(-10))/((-16)/(-20)). Let w(b) be the first derivative of -b**3 - b - f*b**4 - 3/2*b**2 + 1. Suppose w(p) = 0. What is p?
-1
Let o(x) be the third derivative of x**8/96 - x**7/35 - x**6/60 + 7*x**5/60 - x**4/16 - x**3/6 + 8*x**2. Factor o(c).
(c - 1)**3*(c + 1)*(7*c + 2)/2
Suppose 35 = -5*s + 4*k, -27 = -0*s + 4*s - 3*k. Let r be s/2 - 42/(-12). What is b in r*b + 2/3*b**2 + 4/3 = 0?
-2, -1
Let z = 173/966 + -2/161. Let o(g) be the third derivative of 0 - 2*g**2 + 0*g + 0*g**3 - 1/30*g**5 + z*g**4. Factor o(q).
-2*q*(q - 2)
Let k = -37/80 + 9/16. Let d(l) be the first derivative of 0*l - 1/6*l**3 + 2 - 1/4*l**2 + 1/8*l**4 + k*l**5. Factor d(u).
u*(u - 1)*(u + 1)**2/2
Let x be (-2)/11 - (-266)/(-231). Let o = 1/6 - x. Factor -1 - 1/2*l**2 - o*l.
-(l + 1)*(l + 2)/2
Let j(d) = d**2 + 3*d - 2. Let o be j(-4). Factor t**2 + 11*t**4 - t + o*t**3 + 5*t**5 + 7*t**3 - t**5.
t*(t + 1)**3*(4*t - 1)
Let c(k) = 2*k. Let l be c(1). Factor l*n**2 - 1 + 0 - 1.
2*(n - 1)*(n + 1)
Let h(v) be the third derivative of -v**6/180 + v**5/180 + 5*v**4/72 + v**3/9 - 4*v**2. Factor h(k).
-(k - 2)*(k + 1)*(2*k + 1)/3
Let z(m) = -4*m**3 + 7*m - 3. Let j(s) = -36*s**3 + 64*s - 28. Let k(v) = 3*j(v) - 28*z(v). Solve k(u) = 0.
-1, 0, 1
Let g(d) = d + 11. Let x be g(-11). Let 6/5*z**2 + x + 3/5*z + 3/5*z**3 = 0. Calculate z.
-1, 0
Let j(g) be the first derivative of g**9/144 + 3*g**8/56 + 9*g**7/70 + g**6/15 + 3*g**3 + 4. Let d(c) be the third derivative of j(c). Factor d(f).
3*f**2*(f + 2)**2*(7*f + 2)
Let i(q) be the first derivative of 3*q**4 - 40*q**3/3 + 18*q**2 - 8*q + 9. Let i(u) = 0. What is u?
1/3, 1, 2
Let f(u) be the third derivative of -u**8/336 + 4*u**7/105 - 5*u**6/24 + 19*u**5/30 - 7*u**4/6 + 4*u**3/3 + 27*u**2. Let f(r) = 0. What is r?
1, 2
Let d(u) be the first derivative of -u**5/80 + u**4/24 - u**3/24 + 2*u + 5. Let i(b) be the first derivative of d(b). Factor i(m).
-m*(m - 1)**2/4
Let c(j) be the third derivative of -j**8/336 - 16*j**2. Factor c(f).
-f**5
Let u = -5/44 - -123/308. Factor -2/7*m**2 - 2/7*m**5 + 2/7*m**4 + u*m**3 + 0 + 0*m.
-2*m**2*(m - 1)**2*(m + 1)/7
Let d(m) = -5*m**3 - 5*m**2 + 2*m + 3. Let j(f) = f**3 - f**2 + f + 1. Let v(h) = -d(h) + 2*j(h). Let x(p) be the first derivative of v(p). Factor x(g).
3*g*(7*g + 2)
Suppose -5*v + 7 - 27 = 0. Let z = v - -7. Factor -2*n**3 - 3*n + n**4 + z*n + n**2.
n**2*(n - 1)**2
Let d be (-15 + 14)*4/(-13). Factor 0 - 2/13*r**2 + d*r.
-2*r*(r - 2)/13
Suppose 11*n = 7*n + 8. Factor 2/11*v**4 + 10/11*v**3 + 8/11*v + 16/11*v**n + 0.
2*v*(v + 1)*(v + 2)**2/11
Let c be -2*(-5)/2*1. Let s(f) be the second derivative of 1/8*f**2 + 2*f + 1/80*f**c - 1/24*f**3 - 1/48*f**4 + 0. Factor s(y).
(y - 1)**2*(y + 1)/4
Let z(a) be the third derivative of a**8/90720 - a**7/22680 + a**5/60 - 3*a**2. Let j(d) be the third derivative of z(d). Let j(u) = 0. What is u?
0, 1
Determine z, given that 0 + 0*z**2 + 0*z**3 + 0*z - 2/3*z**4 = 0.
0
Let c(w) be the first derivative of w**6/40 - 3*w**5/20 + 2*w**3 + w**2/2 + 8. Let z(p) be the second derivative of c(p). Determine f so that z(f) = 0.
-1, 2
Let n(w) be the first derivative of -w**9/756 - w**8/420 + w**7/105 - w**3/3 + 1. Let d(r) be the third derivative of n(r). Factor d(b).
-4*b**3*(b - 1)*(b + 2)
Let w = 435/7 + -55. Let j be -5 + (8 + -5 - (-1 - 1)). Factor j*z + w*z**2 - 8/7.
2*(5*z - 2)*(5*z + 2)/7
Let r(t) be the third derivative of t**6/540 + t**5/135 + 6*t**2. Let r(v) = 0. Calculate v.
-2, 0
Let r(q) = -10*q**4 - 6*q**3 - 14*q**2 + 14*q + 8. Let a(w) = w**4 + 2*w**2 - w - 1. Let p(y) = 8*a(y) + r(y). Factor p(s).
-2*s*(s - 1)*(s + 1)*(s + 3)
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