30240 + i**5/20 + 2*i**2. Let w(g) be the third derivative of q(g). Find r, given that w(r) = 0.
-1, 0, 1
Let v(p) = -p**3 + 3*p**2 + 5*p. Let r be v(4). Factor -r*f - 5*f + 5*f - 2*f**2.
-2*f*(f + 2)
Let v(k) be the second derivative of -k**6/240 + k**5/60 - k**4/48 - k**2 - k. Let m(x) be the first derivative of v(x). Factor m(n).
-n*(n - 1)**2/2
Let k(f) be the first derivative of -3*f**4/16 + f**3 - 9*f**2/8 - 55. Factor k(p).
-3*p*(p - 3)*(p - 1)/4
Let n(d) be the third derivative of d**5/210 - d**4/42 + d**3/21 - d**2. Factor n(i).
2*(i - 1)**2/7
Let f(n) be the first derivative of -n**3/9 + n**2/6 + 2*n/3 + 5. Factor f(a).
-(a - 2)*(a + 1)/3
Let l(b) be the first derivative of 5*b**4/12 + 4*b**3/9 - b**2/6 + 6. Find q, given that l(q) = 0.
-1, 0, 1/5
Factor 0 - 25/3*d**2 + 20/3*d**3 - 5/3*d**4 + 10/3*d.
-5*d*(d - 2)*(d - 1)**2/3
Let d(g) = -5*g**2 + 2*g + 1. Let h be d(2). Let c be 1 - (2 - h/(-9)). Factor -2/3*u**5 + 2/3*u**3 - c*u**4 + 0*u + 2/3*u**2 + 0.
-2*u**2*(u - 1)*(u + 1)**2/3
Let a(j) be the second derivative of 3*j**5/20 + 11*j**4/12 + 4*j**3/3 - 2*j**2 - 4*j. Determine f, given that a(f) = 0.
-2, 1/3
Let u(n) be the first derivative of n**8/6720 - n**7/1120 + n**6/480 - n**5/480 + 2*n**3 - 3. Let z(l) be the third derivative of u(l). Factor z(r).
r*(r - 1)**3/4
Let h be (49 - 3)*(-94)/(-4). Let j = h + -4229/4. Solve -8*u + j*u**4 - 25/4*u**5 + 97/4*u**2 + 1 - 139/4*u**3 = 0.
2/5, 1
Let a(q) be the first derivative of 0*q + 1 - q**3 - 3/4*q**4 + 0*q**2. Suppose a(k) = 0. What is k?
-1, 0
Let d(r) be the first derivative of r**5/270 + r**4/36 + 2*r**3/27 + 2*r**2 - 5. Let p(t) be the second derivative of d(t). Solve p(n) = 0.
-2, -1
Suppose 0 = -3*s + s + 6. Let z be 2/(-1) + 3*10/12. Factor 0 + p + z*p**s - 3/2*p**2.
p*(p - 2)*(p - 1)/2
Let x(m) = -m**3 + m**2. Let n(f) = 2*f**3 - 2*f**2 + 12*f - 12. Let u(b) = n(b) + 5*x(b). Solve u(s) = 0.
-2, 1, 2
Factor -6*o - 3*o**2 + 3*o**4 - 420 + 6*o**3 + 420.
3*o*(o - 1)*(o + 1)*(o + 2)
Find t, given that 4*t**2 - t**3 - 6*t**2 - 15*t - 9 - 5*t**2 = 0.
-3, -1
Let f(x) be the first derivative of -x**8/504 + x**7/315 + x**6/180 - x**5/90 + 3*x**2/2 + 1. Let n(y) be the second derivative of f(y). Solve n(s) = 0.
-1, 0, 1
Let p = 45 + -43. Let y(o) = -o**3 + 3*o**2 + 6*o - 3. Let g be y(4). Factor g*c**2 + 10 - p - 32*c + c**2 + 8*c**2.
2*(c - 2)*(7*c - 2)
Factor -2*b**2 - 17*b**4 + 3 + 18*b**4 + 0*b**2 - 2.
(b - 1)**2*(b + 1)**2
Let o(i) = -i**2 - 15*i - 18. Let a be o(-14). Let y be a*(-5)/60*1. Let -1/6*v + y*v**2 - 1/6*v**3 + 0 = 0. Calculate v.
0, 1
Suppose -6*x - 4 = -7*x. Let r(m) be the first derivative of -4*m**2 - 8*m + 3 + m**x - 2/5*m**5 + 2*m**3. Factor r(j).
-2*(j - 2)**2*(j + 1)**2
Let h(p) be the third derivative of -p**6/40 + 3*p**4/8 - p**3 + 4*p**2. Factor h(u).
-3*(u - 1)**2*(u + 2)
Suppose 2*z - 3*f = -2*z + 15, 4*f - 8 = -4*z. Let w(b) be the first derivative of -1 + 3/4*b**4 + 3/2*b**2 + 2*b**z + 0*b. Let w(d) = 0. What is d?
-1, 0
Suppose -5*m + 12 + 13 = 0. Factor 8/7*i**2 + 0 + 2/7*i**m - 4/7*i**4 - 6/7*i**3 + 8/7*i.
2*i*(i - 2)**2*(i + 1)**2/7
Let f(a) be the third derivative of 1/672*a**8 - 1/240*a**6 + 0*a**4 + a**2 + 0 + 0*a**3 + 1/120*a**5 - 1/420*a**7 + 0*a. Factor f(h).
h**2*(h - 1)**2*(h + 1)/2
Let g(t) be the first derivative of 4/11*t**3 + 1/22*t**4 + 16/11*t - 2 + 12/11*t**2. Solve g(s) = 0.
-2
Let k(d) = 7*d**4 - 10*d**3 - 18*d**2 + 12*d + 15. Let p(x) = -190*x**4 + 270*x**3 + 485*x**2 - 325*x - 405. Let o(c) = 55*k(c) + 2*p(c). Solve o(l) = 0 for l.
-1, 1, 3
Factor 0 + 2*g + 1/2*g**3 - 2*g**2.
g*(g - 2)**2/2
Let h be (1 - 51/9)*-3. Factor -h*k**3 + k**4 + 3*k**5 - k**2 + 9*k**3 + 2*k**3.
k**2*(k - 1)*(k + 1)*(3*k + 1)
Let r(z) be the third derivative of -z**5/75 + z**4/15 - 2*z**3/15 - 3*z**2. Suppose r(x) = 0. Calculate x.
1
Let z(i) = -i**3 + 4*i**2 - 10*i + 6. Let d be (-6)/(-21) - (-288)/21. Let s(o) = -o**2 + o - 1. Let q(w) = d*s(w) + 2*z(w). Factor q(b).
-2*(b + 1)**3
Let y(i) = i**4 + i**3 - i - 1. Let x(k) = 6*k**4 + 4*k**3 - 9*k**2 - 16*k - 9. Let p(t) = -x(t) + 5*y(t). Factor p(l).
-(l - 4)*(l + 1)**3
Let o(u) be the third derivative of -1/48*u**4 + u**2 + 0*u - 1/48*u**6 + 0*u**3 + 0 + 1/20*u**5. Find m such that o(m) = 0.
0, 1/5, 1
Let h = -869/5 + 175. Factor -6/5*g**2 + 2/5*g**3 - 2/5 + h*g.
2*(g - 1)**3/5
Find a, given that -48/7*a**4 + 48/7*a - 12/7*a**5 - 39/7*a**3 + 39/7*a**2 + 12/7 = 0.
-2, -1/2, 1
Let w be -6 + 16*5/10. Solve -2/5*s**3 + 6/5*s + 0*s**w + 4/5 = 0 for s.
-1, 2
Let a(h) be the second derivative of -h**3 + h + 7/18*h**4 + 2/3*h**2 + 0. Let a(d) = 0. Calculate d.
2/7, 1
Let c = 22 - 18. Factor -c + 0*f**2 - f + 4*f - 5*f + 6*f**2.
2*(f - 1)*(3*f + 2)
Let m(d) be the second derivative of d**7/840 + d**6/240 - d**4/12 - 6*d. Let f(o) be the third derivative of m(o). Factor f(q).
3*q*(q + 1)
Let p = 9 - 14. Let c be (-2)/(-8)*(-5)/p. Suppose -c*h**2 + 0 + 1/4*h = 0. What is h?
0, 1
Let y(h) be the first derivative of h**4/18 - h**2/3 - 4*h/9 - 14. What is r in y(r) = 0?
-1, 2
Let n(q) be the first derivative of q**3 + 3*q**2/2 - 6*q + 13. Factor n(v).
3*(v - 1)*(v + 2)
Let w(z) be the first derivative of -3 + 0*z - 8/3*z**3 + z**2. Factor w(h).
-2*h*(4*h - 1)
Factor 0*i + 1/2*i**2 + 0.
i**2/2
Let j(d) be the first derivative of -d**7/14 + 9*d**5/20 + d**4/2 - 6*d - 6. Let u(a) be the first derivative of j(a). Factor u(i).
-3*i**2*(i - 2)*(i + 1)**2
Let n(l) = -l + 4. Let v be n(-6). Let u be (v/(-14) + 1)/1. Factor -4/7*x - u - 2/7*x**2.
-2*(x + 1)**2/7
Let n = 15 - 21. Let o(m) = -m - 1. Let d be o(n). Find i, given that -4/3*i**2 + 4/3*i**4 - 2/3*i + 0 + 0*i**3 + 2/3*i**d = 0.
-1, 0, 1
Let j = -5 - -7. Suppose -5*i + 10 = 5*y, -i + 2 = 6*y - y. Let 1/3*f**j + 2/3*f - 2/3*f**5 - 7/3*f**4 - 2*f**3 + y = 0. Calculate f.
-2, -1, 0, 1/2
Let o(w) be the second derivative of -w**4/36 + 5*w**3/9 - 3*w**2/2 - 4*w - 13. Find p, given that o(p) = 0.
1, 9
Let o be 6/(-2) - 3*-1. Suppose 2*z + 8 = o, 4*z + 25 = -2*i + 5*i. Find t, given that 33*t**3 - i*t + 30*t + 3*t**4 + 27*t**2 + 18*t**2 + 6*t**4 + 6 = 0.
-1, -2/3
Suppose -2*g + 1 = 5, 5*g + 34 = 3*o. Suppose -x = 4*n - 7*n + 4, -2*x - 2*n = -o. Determine q so that 2*q**3 + 0*q**3 - q**x + 3*q**2 = 0.
-1, 0
Factor -4*i**3 + 9*i**3 + 28*i**5 - 27*i**5 + 4*i**4 + i**2 + i**2.
i**2*(i + 1)**2*(i + 2)
Let o = -238/5 - -48. Determine n so that 0 + o*n**3 - 6/5*n**2 + 4/5*n = 0.
0, 1, 2
Let y be ((-6)/(-9))/(6/27). Let z be y*3*10/120. Factor 3/4*m**3 + 0 - z*m + 0*m**2.
3*m*(m - 1)*(m + 1)/4
Let c be 672/(-98)*1/(-4). Suppose -c*f**2 + 2/7 - 6/7*f + 16/7*f**3 = 0. Calculate f.
-1/2, 1/4, 1
Let o(k) be the third derivative of -k**5/5 - k**4/3 + 2*k**3/3 + 17*k**2. Suppose o(u) = 0. What is u?
-1, 1/3
Let i(c) be the third derivative of -c**7/420 + c**6/90 - c**5/45 + c**4/8 + c**2. Let l(t) be the second derivative of i(t). Find o, given that l(o) = 0.
2/3
Let v(a) be the first derivative of -a**5/10 - a**4/2 - a**3 - a**2 - 11*a + 5. Let u(y) be the first derivative of v(y). Find j such that u(j) = 0.
-1
What is s in 0*s - 2/3*s**3 + 0*s**2 + 10/3*s**4 - 8/3*s**5 + 0 = 0?
0, 1/4, 1
Let c(m) be the first derivative of -m**4/20 - m**3/5 - m**2/5 + 11. Factor c(a).
-a*(a + 1)*(a + 2)/5
Let m(s) = -s**3 + 2*s**2 + 2. Let j(c) = c**4 - 7*c**3 - 4*c + 4*c + 9*c**2 + 9 + 2*c**3. Let y(a) = -2*j(a) + 9*m(a). Factor y(p).
-p**3*(2*p - 1)
Let b be 1 - -3 - (2 + -2). Let l(w) be the first derivative of 1/12*w**2 - 2 - 1/24*w**b + 1/6*w - 1/18*w**3. Factor l(s).
-(s - 1)*(s + 1)**2/6
Let a(o) = -o**4 - o**2. Let w(s) = s**4 + 6*s**3 - 5*s**2 - 6*s - 2. Let y(d) = -3*a(d) + w(d). Factor y(j).
2*(j - 1)*(j + 1)**2*(2*j + 1)
Let t(x) be the third derivative of -x**8/2184 + x**7/455 - x**6/260 + x**5/390 - x**3/6 + 5*x**2. Let v(k) be the first derivative of t(k). Factor v(w).
-2*w*(w - 1)**2*(5*w - 2)/13
Let c(f) be the second derivative of 1/2*f**2 + 0 + 0*f**3 - 1/12*f**4 + f. Find j, given that c(j) = 0.
-1, 1
Factor -5 - 3*g**3 + 0*g**3 - 6*g**2 + 11 - 3*g + 6*g**3.
3*(g - 2)*(g - 1)*(g + 1)
Let 28*p - 24*p + 12 - 12*p**3 - 16*p**2 - 4 = 0. What is p?
-1, 2/3
Let k be -3 - (-5)/(60/(-224)). Let s = k + 22. Suppose 0 + 0*i - 1/3*i**2 + 1/3*i**4 + s*i**5 - 1/3*i**3 = 0. What is i?
-1, 0, 1