**6/120 + z**5/180 - z**2. What is l in m(l) = 0?
-1, 0
Let v(f) be the third derivative of 2*f**7/45 - 8*f**6/45 - f**5/15 + 8*f**4/9 - 8*f**3/9 + 4*f**2. Find l, given that v(l) = 0.
-1, 2/7, 1, 2
Suppose -3*t + 1 = -14. Let j = 9/38 + 183/190. Factor 4/5*s**2 + 2/5*s**t + 4/5*s**3 - 6/5*s - j*s**4 + 2/5.
2*(s - 1)**4*(s + 1)/5
Suppose 4*t - 2*i = 5 + 13, 3*i = 4*t - 23. Factor 1/5*v**t - 2/5 - 1/5*v.
(v - 2)*(v + 1)/5
Let s = 3/109 + 321/218. Factor 0 + 0*d - 6*d**4 + 9/2*d**3 + s*d**2.
-3*d**2*(d - 1)*(4*d + 1)/2
Suppose 0 = -l + 2*l - 6. Factor -5 - 4*m**3 - 5*m**3 - 3*m**2 + 5 + l*m.
-3*m*(m + 1)*(3*m - 2)
Factor -8/9*y + 8/9 - 2/3*y**2.
-2*(y + 2)*(3*y - 2)/9
Suppose -2*p - 3*p = -5. Let q(u) = 6 - 8 + 3. Let r(s) = s**2 + s - 6. Let y(b) = p*r(b) + 4*q(b). Factor y(z).
(z - 1)*(z + 2)
Let j(m) be the first derivative of 2/25*m**5 + 4/5*m**2 + 2 + 2/5*m + 4/5*m**3 + 2/5*m**4. Solve j(i) = 0.
-1
Let n be (-32)/(-40)*4/8. Find c, given that n - 4/5*c**3 + 2/5*c**5 + 2/5*c**4 - 4/5*c**2 + 2/5*c = 0.
-1, 1
Solve 0*z + 0*z**2 - 1/10*z**5 + 0 - 1/5*z**4 - 1/10*z**3 = 0.
-1, 0
Let b(i) be the third derivative of -1/20*i**5 - 1/120*i**6 - 4*i**2 + 1/12*i**3 + 1/224*i**8 + 1/84*i**7 + 0*i - 1/48*i**4 + 0. Let b(n) = 0. What is n?
-1, 1/3, 1
Let u(n) be the second derivative of -n**6/165 - n**5/110 - 5*n. Let u(c) = 0. Calculate c.
-1, 0
Let l(u) = 17*u**2 - 14*u - 9. Let c(j) = 50*j**2 - 43*j - 26. Let x(n) = -3*c(n) + 8*l(n). Solve x(i) = 0 for i.
-2/7, 3/2
Let w(x) be the first derivative of 2*x + 2 + 1/3*x**2 + 1/45*x**6 - 1/9*x**4 + 0*x**3 + 0*x**5. Let y(p) be the first derivative of w(p). Factor y(o).
2*(o - 1)**2*(o + 1)**2/3
Suppose 0 = 6*r - 55 - 125. What is s in -54*s**3 - r*s**2 - 8/3 + 64/3*s = 0?
-1, 2/9
Let x = 18 - 15. Let a(b) be the first derivative of 1 - b**2 - 8/7*b**x + 45/14*b**4 + 4/7*b. Suppose a(k) = 0. What is k?
-2/5, 1/3
Let f(k) be the third derivative of 3*k**2 - 1/720*k**6 + 0*k**5 - 1/2016*k**8 + 0 + 0*k**4 + 0*k**3 + 0*k + 1/630*k**7. What is c in f(c) = 0?
0, 1
Let v(b) = b**3 + 9*b**2 + 7*b - 6. Let z be v(-8). Find f such that -f**2 - 3*f**z - f**3 - 2*f**5 + 7*f**3 = 0.
-2, 0, 1
Suppose -4 - 16*g**3 - 16/3*g**4 - 68/3*g**2 - 2/3*g**5 - 46/3*g = 0. What is g?
-3, -2, -1
Let z(r) = -4*r**3 - 12*r**2 - 24*r - 24. Let t(s) = -11*s**3 - 35*s**2 - 73*s - 73. Let c(h) = 3*t(h) - 8*z(h). Let c(f) = 0. What is f?
-3
Let i(r) be the third derivative of 0 + 0*r**3 + 0*r + 1/30*r**5 + 0*r**6 - 1/105*r**7 + 0*r**4 - 2*r**2. Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let i = 435 - 3027/7. Let p = 1466 - 10240/7. Find t such that 4/7 - p*t**3 + 22/7*t + 2*t**2 - i*t**4 = 0.
-1, -2/9, 1
Let d = -132 - -136. Let -2/9*r**5 - 4/9*r**d + 0 + 0*r**3 + 2/9*r + 4/9*r**2 = 0. Calculate r.
-1, 0, 1
Let n(g) = -3*g - g + 2 + g**2 - 2*g. Let p be n(6). Factor c + 3*c**5 + 4*c**3 - 4*c**2 + 2*c**3 - 4*c**4 - p*c**5.
c*(c - 1)**4
Let h(v) be the second derivative of 0*v**4 - 1/126*v**7 + 0 + 5*v - 1/30*v**6 - 1/30*v**5 + 0*v**3 + 0*v**2. What is c in h(c) = 0?
-2, -1, 0
Let g(j) = 1. Let r(h) = -9*h**2 - 30*h - 4. Let v(y) = -5*g(y) + r(y). Determine b, given that v(b) = 0.
-3, -1/3
Let p(v) be the second derivative of -7*v + 5/12*v**4 - 2/3*v**3 + 1/2*v**2 + 0 - 1/10*v**5. Let p(n) = 0. Calculate n.
1/2, 1
Let x = -160 - -1122/7. Find y, given that 0*y - x + 2/7*y**2 = 0.
-1, 1
Suppose -3*z - 9 = -2*z. Let p = 3 + z. Let q(h) = -7*h**2 + 3*h + 15. Let a(u) = 2*u**2 - u - 4. Let n(i) = p*q(i) - 22*a(i). Factor n(v).
-2*(v - 1)**2
Let l(n) be the second derivative of n**6/15 - n. Solve l(i) = 0.
0
Suppose -4*c = 4*o - 11 + 259, -o = -2*c - 118. Let a be 3 - (-1 + c/(-16)). Factor -3*n + 9*n**2 + a.
(6*n - 1)**2/4
Suppose 4*g - 4 = 2*g. Let 4 + 0 + s + 2*s**2 - g + 3*s = 0. Calculate s.
-1
Let k be 1/(-1 + 8/4). Let m = -3 - -3. Find x, given that 0*x**2 + k + x**2 + m*x**2 - 2*x = 0.
1
Find d such that 0 - 2*d**3 + 0*d + 2*d**4 - 2/3*d**5 + 2/3*d**2 = 0.
0, 1
Suppose -4*v = -7*v - 9. Let h = v + 4. Factor 0 + 3*f**2 + h - 4*f**2.
-(f - 1)*(f + 1)
Let s(o) be the third derivative of o**6/300 + o**5/150 - o**4/12 + o**3/5 + 15*o**2. Determine l, given that s(l) = 0.
-3, 1
Let p(k) be the second derivative of 1/8*k**4 + 3*k + 0 + 1/8*k**2 + 1/120*k**6 - 1/6*k**3 - 1/20*k**5. Factor p(u).
(u - 1)**4/4
Factor 1/5*o**2 + 2/5*o - 3/5.
(o - 1)*(o + 3)/5
Let t(c) be the second derivative of -1/80*c**5 + 0 - 1/8*c**2 - 1/8*c**3 - c - 1/16*c**4. Factor t(y).
-(y + 1)**3/4
Let l be (3/12)/((-2)/(-16)). Let u(a) be the first derivative of l + 0*a - 2/15*a**3 + 2/5*a**2. Find v, given that u(v) = 0.
0, 2
Let b be ((-22)/(-10))/((-4)/85). Let t = 47 + b. What is r in 0*r**2 - 1/4*r**4 + t + 1/2*r**3 - 1/2*r = 0?
-1, 1
Let f(k) = -k**2 - 5*k. Let r be f(-4). Suppose 4*a = -r + 12. Find y, given that 6*y - a*y**2 + 2 - 6*y = 0.
-1, 1
Let n(m) be the first derivative of m**3/9 + 4*m**2/3 + 16*m/3 + 4. Factor n(x).
(x + 4)**2/3
Let z(p) be the first derivative of p**4/26 - 2*p**3/13 - 4*p**2/13 + 19. Determine q so that z(q) = 0.
-1, 0, 4
What is u in -2/3*u**2 - 2/9 - 2/3*u - 2/9*u**3 = 0?
-1
Let w(l) be the first derivative of 1/5*l + 1/20*l**4 + 3/10*l**2 + 3 + 1/5*l**3. Solve w(q) = 0.
-1
Suppose 5*s = -8*s. Let q(i) be the second derivative of 0*i**4 - 3*i - 1/100*i**5 + 1/30*i**3 + 0*i**2 + s. Factor q(u).
-u*(u - 1)*(u + 1)/5
Suppose 0*u - u + 7 = -3*a, -a - 13 = 5*u. Let b(s) = s**3 + 4*s**2 + 3*s + 1. Let l be b(a). Suppose l + 3*n**2 - n**3 - 5*n**3 + 5*n**3 - 3*n = 0. What is n?
1
Suppose o + 0*c - 3*c = -7, 2*c - 6 = 0. Let x(n) be the first derivative of -n + 2 - n**o - 1/3*n**3. Factor x(i).
-(i + 1)**2
Suppose v**3 + 9 + 24*v + 2*v**3 + 15*v**2 - 3*v = 0. Calculate v.
-3, -1
Let u(a) be the first derivative of 3/20*a**4 + 0*a**2 + 0*a - 2 + 0*a**3. Factor u(o).
3*o**3/5
Let r(w) be the first derivative of -w**4/10 + w**3/15 + 4*w**2/5 - 4*w/5 - 4. Solve r(u) = 0 for u.
-2, 1/2, 2
Let u be (-7 + 1)/((-2)/3). Let j = u + -6. Factor -4*x**j + 3*x**3 + 0*x**5 + x**5.
x**3*(x - 1)*(x + 1)
Factor 0*k + 2/17 - 2/17*k**2.
-2*(k - 1)*(k + 1)/17
Let f be (-1)/(-4) - 25809/(-108). Let l = f - 239. Factor -l*m**2 - 2/9*m + 0.
-2*m*(m + 1)/9
Let j(s) be the third derivative of s**5/100 - s**4/4 + 5*s**3/2 - 16*s**2. Find c, given that j(c) = 0.
5
Let f(r) be the first derivative of r**5/30 - r**4/9 - r**3/9 + 2*r**2/3 + 4*r - 4. Let n(k) be the first derivative of f(k). Factor n(x).
2*(x - 2)*(x - 1)*(x + 1)/3
Let c be 172/2580 + 2/6. Factor 0 - c*l**2 + 0*l + 2/5*l**3.
2*l**2*(l - 1)/5
Let t(z) be the first derivative of -z**4 + 2*z**2 + 4/3*z**3 - 4/5*z**5 + 0*z - 1. Solve t(g) = 0.
-1, 0, 1
Let l be (6/3 - 93) + 1. Let a = -64 - l. Find o, given that -a*o - 3*o**2 - 7*o**2 + 22*o = 0.
-2/5, 0
Let u(b) = -4*b**2 + 2*b + 3. Let f(y) = 3*y**2 - 2*y - 2. Let d(c) = -3*f(c) - 2*u(c). Find n such that d(n) = 0.
0, 2
Let o(f) be the first derivative of -1 + 0*f**3 - 1/120*f**6 - 1/60*f**5 + 1/2*f**2 + 0*f + 0*f**4. Let a(l) be the second derivative of o(l). Factor a(p).
-p**2*(p + 1)
Let p(g) be the second derivative of g**6/180 - g**5/90 - g**4/18 + g**2/2 + 5*g. Let u(y) be the first derivative of p(y). Factor u(c).
2*c*(c - 2)*(c + 1)/3
Suppose -19 = -2*l - 7. Suppose 15 = -4*v + 39. Determine j, given that -v*j**3 + 14/3*j**4 + l*j - 4/3 - 10/3*j**2 = 0.
-1, 2/7, 1
Let u(c) be the first derivative of 0*c**3 + 0*c**4 - 4/5*c**5 + 0*c - 4 + 0*c**2 + 1/3*c**6. Find k such that u(k) = 0.
0, 2
Let z(x) be the second derivative of -x**6/150 - x**5/100 + x**4/20 + x**3/30 - x**2/5 - 4*x. Factor z(h).
-(h - 1)**2*(h + 1)*(h + 2)/5
Suppose -4*c = -7*c + 4*h - 2, 0 = -3*c - 4*h + 14. Factor 0*k**3 + 2*k**2 + 0*k**2 - c*k**3 + 0*k**3.
-2*k**2*(k - 1)
Let u(j) be the third derivative of j**9/181440 + j**8/10080 + j**7/1260 + j**6/270 - j**5/20 - j**2. Let n(v) be the third derivative of u(v). Factor n(d).
(d + 2)**3/3
Let v(m) be the third derivative of m**10/604800 - m**8/80640 + m**5/20 + 2*m**2. Let h(y) be the third derivative of v(y). Suppose h(b) = 0. What is b?
-1, 0, 1
Let f = 5 + -2. Factor 2*u - u**f + 3*u**3 - 2 - 5*u**3 + u**3 + 2*u**2.
-2*(u - 1)**2*(u + 1)
Let y(o) be the first derivative of 0*o**2 + 1/4*o**4 - 1/3*o**3 + 0*o + 3. Determine v so that