+ h**3 + m*h**4 + 0*h**3 = 0.
-1, 0, 1
Let b(z) be the second derivative of -7/10*z**6 - 3*z + 0*z**2 + 0 + 0*z**3 + 1/4*z**4 + 3/10*z**5 + 2/7*z**7. Solve b(m) = 0 for m.
-1/4, 0, 1
Let o(z) be the third derivative of -z**6/1140 + 11*z**2. Find f, given that o(f) = 0.
0
Suppose 3*n = 5*c - 2*c + 15, -4 = 2*n + 5*c. Solve -3/7*x**n + 0 + 0*x + 1/7*x**4 + 2/7*x**2 = 0.
0, 1, 2
Let c(y) = y - 14. Let m be c(17). Suppose 2/7*h**2 + 2/7*h**m + 0 + 0*h = 0. What is h?
-1, 0
Let u(m) = -m**3 + 5*m**2 - 2*m - 5. Let t be u(4). Factor 4*w**3 - 4*w**t - w**2 - w**2 + w + w**3.
w*(w - 1)**2
Let o be (-18)/99 + 96/165. Solve 0 + o*s**2 + 2/5*s - 2/5*s**3 - 2/5*s**4 = 0.
-1, 0, 1
Let u be (4 - 0)*(-2 + 0)/(-12). Solve u*j**4 - 4*j**3 + 2/3 + 2*j**5 - 4/3*j**2 + 2*j = 0.
-1, -1/3, 1
Let n = 56/75 + -2/25. Let r(a) be the first derivative of 2*a**2 - n*a**3 - 1 - 2*a. Factor r(g).
-2*(g - 1)**2
Let r(n) = -n**3 + 12*n**2 - 10*n - 7. Let v be r(11). Suppose -2*b + 5 = -3*w + 2*w, -2*b - v*w = -10. Factor 2/5*m**2 - 2/5*m + 2/5*m**b - 2/5.
2*(m - 1)*(m + 1)**2/5
Let d(k) be the third derivative of -k**6/480 + k**5/240 + k**4/96 - k**3/24 - 5*k**2. Solve d(m) = 0 for m.
-1, 1
Let p = -5 + 9. Factor 4*r**4 + 16*r - 3*r**4 - 16 - p*r**3 + 0*r**4.
(r - 2)**3*(r + 2)
Let 0 + 14/11*k**4 - 60/11*k**3 - 12/11*k + 58/11*k**2 = 0. Calculate k.
0, 2/7, 1, 3
Let p = -9 - -9. Factor -4/5*r + p - 2/5*r**2 + 4/5*r**3 + 2/5*r**4.
2*r*(r - 1)*(r + 1)*(r + 2)/5
Suppose -7 = 3*w - h, 0*w + 5*w - 5*h + 25 = 0. Let o be (w - (-2 + 1))/1. Factor -3*g**2 - g**3 - g**2 + o*g**3 - 4*g.
-g*(g + 2)**2
Let w be 16/((-18)/4*-1). Let y = -24/25 - -466/225. Let 50/9*t**3 + y*t**2 - w*t + 8/9 = 0. What is t?
-1, 2/5
Suppose -4*g + 4 = f, 2*g + 16 = 4*f + 7*g. Find c such that 0 + 0*c**2 - 2/3*c**f + 0*c - 2/3*c**3 = 0.
-1, 0
Solve 4*c**2 - 4*c**5 + 5*c**3 + 0*c**5 - 8*c - 4*c**4 + 7*c**3 = 0 for c.
-2, -1, 0, 1
Let a be 1/((-15)/(-10)) - 0. Let r be (-2)/(-8) - 39/(-36). Factor r*q - 2/3 - 4/3*q**3 + a*q**2.
-2*(q - 1)*(q + 1)*(2*q - 1)/3
Factor 5*k**3 - 5*k**2 - 88*k + 161*k - 83*k.
5*k*(k - 2)*(k + 1)
Let l(r) be the first derivative of -4*r**6/3 + 14*r**5/5 - r**4 - 2*r**3/3 - 8. Factor l(h).
-2*h**2*(h - 1)**2*(4*h + 1)
Let b(s) be the first derivative of -2/27*s**3 - 4/9*s - 3 + 1/3*s**2. Factor b(m).
-2*(m - 2)*(m - 1)/9
Suppose 2*i - 8 = 4. Suppose 0 = -4*a - 6 + 14. What is c in a*c - c**4 + c**2 + 2*c + 2*c**3 - i*c = 0?
-1, 0, 1, 2
Let n(a) be the first derivative of -a**6/2 + 6*a**5/5 + 9*a**4/4 - 21. Suppose n(q) = 0. What is q?
-1, 0, 3
Determine b, given that -22*b**4 + 22*b + 22*b**3 - 29*b**4 - 4*b - 30*b**2 - 4 + 45*b**4 = 0.
2/3, 1
Let k(x) be the second derivative of -x**6/120 - x**5/30 - 3*x**2/2 + 5*x. Let c(a) be the first derivative of k(a). Let c(z) = 0. What is z?
-2, 0
Let p(q) be the second derivative of -q**4/42 + 2*q. Solve p(m) = 0 for m.
0
Factor 0*k**4 + 0 + 1/2*k**3 - 1/4*k**5 - 1/4*k + 0*k**2.
-k*(k - 1)**2*(k + 1)**2/4
Suppose -3*o = 0, -5*o = -3*i - o + 6. Suppose 4*x = -5*n - 6, -i*n + 4*x = n - 22. Factor 1/2*j**n + 0 + 1/2*j**3 - 1/2*j - 1/2*j**4.
-j*(j - 1)**2*(j + 1)/2
Let j(n) be the first derivative of -n**3/3 + n**2/2 + 7. Let x be j(0). Factor x + a + 4*a**3 - 7/2*a**2 - 3/2*a**4.
-a*(a - 1)**2*(3*a - 2)/2
Let u = -19/4 - -25/4. Factor -3/2*j**3 + 3*j**4 + 0 + 0*j - u*j**5 + 0*j**2.
-3*j**3*(j - 1)**2/2
Let f(j) = 4*j**2 - 34*j + 11. Let i(c) = -c**2 + 7*c - 2. Let v(s) = -2*s + 10. Let z be v(6). Let x(n) = z*f(n) - 11*i(n). Factor x(o).
3*o*(o - 3)
Find z such that -1/5*z**2 - 36/5 - 12/5*z = 0.
-6
Let o(c) be the third derivative of -c**10/16800 - c**9/10080 + c**8/960 - c**7/840 - c**5/10 - 2*c**2. Let g(j) be the third derivative of o(j). Factor g(v).
-3*v*(v - 1)*(v + 2)*(3*v - 1)
Let r be (-2 - (13 - 20)) + (-37)/9. Determine t, given that r*t - 2/9*t**5 + 16/9 - 20/9*t**2 - 2/9*t**3 + 8/9*t**4 = 0.
-1, 2
Let j be ((-30)/(-28))/((-9)/12). Let y = j + 41/14. Factor 0 - 3/2*b**4 - 3/2*b + y*b**3 + 3/2*b**2.
-3*b*(b - 1)**2*(b + 1)/2
Let b(f) be the first derivative of -1/3*f**3 + 0*f + f**2 - 4. Factor b(j).
-j*(j - 2)
Let t be (-16)/(-56) + (-58)/210. Let g(p) be the second derivative of 3/35*p**5 + 8/21*p**3 - 2*p + 0*p**2 + t*p**6 + 0 + 2/7*p**4. Factor g(b).
2*b*(b + 2)**3/7
Let d(u) be the third derivative of -u**9/2646 + u**8/840 - u**7/1470 - u**6/1260 - u**3/2 + 4*u**2. Let s(h) be the first derivative of d(h). Factor s(q).
-2*q**2*(q - 1)**2*(4*q + 1)/7
Let b(a) = -a**2 - 27*a - 48. Let k be b(-25). Let 1/6 + 1/6*w**3 - 1/6*w**k - 1/6*w = 0. Calculate w.
-1, 1
Let 2 - 36*v - 289/2*v**3 + 357/2*v**2 = 0. What is v?
2/17, 1
Determine g, given that -1/4*g + 0 - 3/8*g**2 - 1/8*g**3 = 0.
-2, -1, 0
Let o(j) = 0 + j - 2 + 1. Let l be o(3). Factor -l*t**2 + 8/3 + 0*t + 2/3*t**3.
2*(t - 2)**2*(t + 1)/3
Let c(v) be the second derivative of v**7/560 - v**6/120 - v**5/80 + v**4/8 + v**3/2 - 7*v. Let w(u) be the second derivative of c(u). Factor w(n).
3*(n - 2)*(n - 1)*(n + 1)/2
Let h(i) = -i**4 + i. Let d(o) = -21*o**4 - 12*o**3 - 12*o**2 + 18*o. Let z(u) = 2*u**2 - u. Let p be z(1). Let g(y) = p*d(y) - 18*h(y). Factor g(c).
-3*c**2*(c + 2)**2
Solve 50 + 9*a + 3*a - 32*a + 2*a**2 = 0 for a.
5
Let t be (-5 - 1)/(0 - 2). Factor -4*o + 3 - 4 - t*o**2 + 0*o**2.
-(o + 1)*(3*o + 1)
Let k be (5 + 176/(-36))/((-1)/(-6)). Solve 0 - 2/3*b**3 + 0*b + k*b**2 = 0 for b.
0, 1
Let c(g) = 5*g**4 - 3*g**3 + 6*g**2 - 2*g. Let h(t) = -14*t**4 + 10*t**3 - 18*t**2 + 6*t. Let y(l) = -8*c(l) - 3*h(l). Factor y(w).
2*w*(w - 1)**3
Suppose -5*w - 3*p = -35, 0*w = -5*w + 4*p. Find q such that 4*q**2 - q**2 - 2*q**w - q**2 = 0.
-1, 0, 1
Let h(m) be the third derivative of m**6/240 + m**5/60 - m**4/48 - m**3/6 + 7*m**2. Suppose h(l) = 0. Calculate l.
-2, -1, 1
Suppose 0 = -5*d + m + 17, 2 = -m. Let c(n) be the second derivative of 0*n**2 + 0 + 3*n - 1/40*n**5 - 1/12*n**4 - 1/12*n**d. Factor c(w).
-w*(w + 1)**2/2
Factor 10*y + 54 - 22*y**2 + 40*y**2 + 2*y**3 + 44*y.
2*(y + 3)**3
Let d(i) be the second derivative of -i**4/16 + 3*i**3/4 - 27*i**2/8 + 5*i. Suppose d(f) = 0. Calculate f.
3
Let b(s) be the second derivative of -5*s**4/4 + 3*s**3/2 + 3*s**2 + 15*s. Factor b(m).
-3*(m - 1)*(5*m + 2)
Let h = 18/31 - 59/155. Let w be (-9)/(-15)*6/9. Factor -h*i**4 + 0 + 0*i - w*i**2 + 3/5*i**3.
-i**2*(i - 2)*(i - 1)/5
Factor -1/4*c**3 + 3/4*c**2 + 1/4 - 3/4*c.
-(c - 1)**3/4
Suppose -5*j - 18 = -23. Let w(n) be the first derivative of 1/6*n**3 + j - 1/4*n**2 + 0*n. Factor w(o).
o*(o - 1)/2
Let z(s) be the third derivative of 2/135*s**5 + 0*s**3 + 7/135*s**6 + 2*s**2 + 7/135*s**7 + 0*s + 0 + 0*s**4. Factor z(j).
2*j**2*(7*j + 2)**2/9
Suppose -5 = -h - 2. Let x(a) be the second derivative of 0*a**h - 1/42*a**4 - 3*a + 1/7*a**2 + 0. Factor x(p).
-2*(p - 1)*(p + 1)/7
Let u = 18 - 15. Let r(n) = n**5 + n**4 - n**3 - n**2 + n. Let v(f) = -24*f**4 - 93*f**3 - 141*f**2 - 96*f - 27. Let t(i) = u*r(i) - v(i). Factor t(j).
3*(j + 1)**3*(j + 3)**2
Let n(g) be the second derivative of -g**5/35 + g**4/21 + 4*g**3/21 + 5*g. Factor n(l).
-4*l*(l - 2)*(l + 1)/7
Let x(f) be the third derivative of -f**8/168 + f**7/21 - 2*f**6/15 + 2*f**5/15 - 38*f**2. Factor x(m).
-2*m**2*(m - 2)**2*(m - 1)
Suppose 79 + 2*i**2 - 3*i**2 - 42 + i - 35 = 0. Calculate i.
-1, 2
Let g = -23/6 + 13/3. Factor g + 1/2*b**2 - b.
(b - 1)**2/2
Suppose -1/5*z**3 + 6/5*z**2 - 9/5*z + 4/5 = 0. What is z?
1, 4
Let i be (6/117)/((-14)/(-71)). Let q = i - -1/39. Factor 4/7*u - 2/7*u**2 - q.
-2*(u - 1)**2/7
Let m(i) be the second derivative of -i**4/84 + 2*i**3/21 - 3*i**2/14 + 2*i. Determine t so that m(t) = 0.
1, 3
Let x(o) = 14*o**4 + 50*o**3 + 54*o**2 + 14*o - 2. Let s(m) = -29*m**4 - 99*m**3 - 109*m**2 - 29*m + 5. Let y(r) = 2*s(r) + 5*x(r). Factor y(c).
4*c*(c + 1)*(c + 3)*(3*c + 1)
Let q = -118 + 118. Factor -2/9*r**2 + q - 2/9*r.
-2*r*(r + 1)/9
Suppose 15 = t + 2*t. Suppose -16 = -t*d + 4. Let 2*a**d + 0*a**2 - 4/5*a**3 + 0 + 0*a = 0. Calculate a.
0, 2/5
Let c(n) = n**4 + n**3 + n**2 - n - 1. Let y(k) = -4*k**4 + 4*k**3 - 8*k**2 + 4*k + 2. Let z(f) = 4*c(f) + 2*y(f). Factor z(q).
-4*q*(q - 1)**3
Let o be 2 - (-6)/(-9)*3. Factor o*f**2 + 7*f**3 - 4*f**3 - f**2 + f**5 - 3*f**4.
f**2*(f - 1)**3
Let b(m) = -5*m**3 + 35*m**2 - 5