 3)*(3*b + 2)**2/4
Let d(v) = -v**2 + 5*v + 2. Let m be d(6). Let h be m + 3 + 0 + 6. Find t, given that 0 + 0*t - 2/5*t**h + 0*t**4 + 0*t**3 + 0*t**2 = 0.
0
Let t be (2/12*1)/((-15)/(-60)). Factor t*p + 2/3*p**5 - 4/3*p**3 + 4/3*p**2 - 2/3 - 2/3*p**4.
2*(p - 1)**3*(p + 1)**2/3
Let l = 81 + -116. Let f be (-25)/l + (-3)/7. Let f*q + 1/7*q**2 + 0 = 0. What is q?
-2, 0
Find m, given that 6/7*m**3 + 0 - 4*m**2 - 10/7*m = 0.
-1/3, 0, 5
Solve 0 + 2/7*q + 2/7*q**2 - 2/7*q**3 - 2/7*q**4 = 0 for q.
-1, 0, 1
Let i be (4 + (-44)/10)/(22/(-10)). Solve -i*a**2 - 8/11 + 8/11*a = 0 for a.
2
Let a(s) be the second derivative of 1/4*s**3 - 3/16*s**5 - 3/16*s**4 + 0 - 8*s + 0*s**2. Factor a(z).
-3*z*(z + 1)*(5*z - 2)/4
Let m(h) = -40*h**4 + 28*h**3 + 8*h**2 + 4*h - 4. Let w(g) = 41*g**4 - 28*g**3 - 8*g**2 - 5*g + 5. Let n(p) = 5*m(p) + 4*w(p). Factor n(r).
-4*r**2*(r - 1)*(9*r + 2)
Let q(m) = -m**2 - 3*m + 5. Let j(x) be the third derivative of x**5/60 + x**4/6 - x**3 + 3*x**2. Let r(t) = -5*j(t) - 6*q(t). Determine g, given that r(g) = 0.
0, 2
Factor 1/4*g**4 - 1/2*g**3 + 1/4*g - 1/2*g**2 + 1/4 + 1/4*g**5.
(g - 1)**2*(g + 1)**3/4
Let y(x) be the first derivative of 3/16*x**4 + 3/20*x**5 - 5 + 0*x + 0*x**2 + 0*x**3. Factor y(z).
3*z**3*(z + 1)/4
Let i(y) be the third derivative of 9*y**2 + 2/945*y**7 + 0*y - 1/135*y**5 + 0*y**6 + 1/1512*y**8 - 1/108*y**4 + 0*y**3 + 0. Factor i(n).
2*n*(n - 1)*(n + 1)**3/9
Let r(x) be the third derivative of 7*x**6/120 + 4*x**5/15 + 11*x**4/24 + x**3/3 - 5*x**2. Determine g, given that r(g) = 0.
-1, -2/7
Let s = -4 + 6. Find a, given that -a**3 - a**4 + 3*a**4 + s*a**3 + a**3 = 0.
-1, 0
Let j = -306 + 310. Factor 4/9*v**3 + 2/9*v**j + 0*v**2 + 0 + 0*v.
2*v**3*(v + 2)/9
Let d(f) be the second derivative of -f**5/70 - f**4/42 + f**3/21 + f**2/7 - 9*f. Solve d(b) = 0.
-1, 1
Let c(b) be the second derivative of 1/3*b**3 + 0 + b**2 + 0*b**4 - 1/30*b**5 + 2*b. Let d(z) be the first derivative of c(z). Suppose d(i) = 0. Calculate i.
-1, 1
Let u = -9/44 + 855/308. Let -12/7*s - u - 2/7*s**2 = 0. What is s?
-3
Let d(j) be the first derivative of -4/7*j**2 + 2/7*j + 7 - 2/7*j**4 + 2/35*j**5 + 4/7*j**3. Find z such that d(z) = 0.
1
Let c(s) = -2*s**2 - 11*s + 5. Let y(a) be the first derivative of a**3/3 + 3*a**2 - 3*a + 10. Let o(n) = -4*c(n) - 7*y(n). Solve o(l) = 0 for l.
-1
Suppose 0 = 3*k + 3*x + 9, -x - 3*x - 6 = k. Let l be k/(-3)*(-9)/(-2). Determine y so that -2/5*y**2 - 2/5*y + 2/5 + 2/5*y**l = 0.
-1, 1
Let n(k) be the first derivative of -3*k**4/4 + 4*k**3/3 + 11*k**2/6 + 2*k/3 + 10. Factor n(u).
-(u - 2)*(3*u + 1)**2/3
Suppose -3*t + 4 = -t. Factor -7*b**5 + 11*b**4 - 2*b**4 - 9*b**3 + 4*b**5 + b**2 + 2*b**t.
-3*b**2*(b - 1)**3
Suppose -5*t + 4 + 6 = 0. Let m(b) = b**3 + 5*b**2 - 6*b. Let v be m(-6). Factor v*s + 1/2*s**3 + 1/2*s**t - 1/2*s**5 + 0 - 1/2*s**4.
-s**2*(s - 1)*(s + 1)**2/2
Determine m so that -30*m + 21*m + 8 - 29*m + 9*m**2 = 0.
2/9, 4
Let d be ((-4)/(-2) + 3)/4. Factor 3/4*s**4 + d*s**2 - 1/4*s - 7/4*s**3 + 0.
s*(s - 1)**2*(3*s - 1)/4
Let j(b) = -b**3 - b**2 + b + 2. Let l(i) = i**2. Suppose 3*m - g + 1 = -m, 2*m + 5*g = -17. Let n(p) = m*l(p) + j(p). Let n(v) = 0. What is v?
-2, -1, 1
Factor 71*f**2 + 41*f + 20 - 78*f**2 + 225*f**3 + 59*f - 338*f**2.
5*(f - 1)*(3*f - 2)*(15*f + 2)
Factor -2/3*r**4 + 14/3*r - 6*r**2 + 10/3*r**3 - 4/3.
-2*(r - 2)*(r - 1)**3/3
Let r(t) be the third derivative of t**6/120 + t**5/30 + t**4/24 + 2*t**2. Let r(d) = 0. What is d?
-1, 0
Let j(p) be the first derivative of 1/8*p**4 - 1/4*p**2 + 0*p + 1 + 0*p**3. Factor j(y).
y*(y - 1)*(y + 1)/2
Let c be ((-57)/(-18) + -3)/5. Let d(s) be the second derivative of 3*s - c*s**6 + 0*s**5 + 0*s**3 + 0 + 1/12*s**4 + 0*s**2. Solve d(t) = 0.
-1, 0, 1
Factor 3276800/7*r + 640000/7*r**3 + 2048000/7*r**2 + 6250/7*r**5 + 2097152/7 + 100000/7*r**4.
2*(5*r + 16)**5/7
Let c = 124 + -2975/24. Let n(t) be the third derivative of 0*t + 1/12*t**3 + 1/120*t**5 + 3*t**2 + c*t**4 + 0. Factor n(w).
(w + 1)**2/2
Let a(p) be the first derivative of p**3 - 18*p**2 + 108*p + 13. Let a(t) = 0. What is t?
6
Let d(h) be the first derivative of -3/16*h**4 - 2 - 1/20*h**5 - 1/12*h**3 + 1/2*h + 3/8*h**2. Factor d(y).
-(y - 1)*(y + 1)**2*(y + 2)/4
What is x in 4/7*x**3 + 2/7*x**2 + 0*x + 0 + 2/7*x**4 = 0?
-1, 0
Let n(g) = -8*g**2 + 10*g - 4. Let t(b) be the first derivative of 8*b**3/3 - 5*b**2 + 5*b + 1. Let o(v) = 3*n(v) + 2*t(v). Determine s, given that o(s) = 0.
1/4, 1
Let s(h) be the second derivative of 1/30*h**5 + 0*h**2 + 1/9*h**4 - 1/45*h**6 + h + 0*h**3 + 0. Factor s(d).
-2*d**2*(d - 2)*(d + 1)/3
Let o(h) be the third derivative of h**7/420 + h**6/30 + h**5/5 + 2*h**4/3 - h**3/6 - h**2. Let j(z) be the first derivative of o(z). Factor j(n).
2*(n + 2)**3
Let y = 3429/4 - 857. Let u be 5/(-4)*(-2)/10. Suppose u*z**2 - y*z - 1/2 = 0. Calculate z.
-1, 2
Suppose -7*j**2 - 88 + 11 + 40*j - 3 + 2*j**2 = 0. What is j?
4
Let o = -1547/12 + 129. Let t(k) be the second derivative of o*k**4 + 2*k**2 - k - 2/3*k**3 + 0. Determine n so that t(n) = 0.
2
Suppose -4*w - 92 = -5*d - 0*w, 0 = -3*d + 3*w + 57. Let 0*y - d*y**2 + 13*y**2 - 3*y = 0. What is y?
-1, 0
Let x = -113/3 + 38. Let v(m) be the second derivative of 0 - x*m**3 + 1/2*m**2 + 1/12*m**4 + 2*m. Factor v(w).
(w - 1)**2
Factor 63*a**2 - 32*a**2 + 3 - 34*a**2 - 8*a.
-(a + 3)*(3*a - 1)
Factor -40/13*q**2 - 16/13*q - 36/13*q**3 + 0 - 14/13*q**4 - 2/13*q**5.
-2*q*(q + 1)*(q + 2)**3/13
Let y(k) be the first derivative of k**5/40 - k**4/8 + k**3/4 - k**2/4 - 3*k + 1. Let p(b) be the first derivative of y(b). Factor p(m).
(m - 1)**3/2
Suppose -3*f + 15 = 5*o, o + 4*o = f + 15. Factor 0 + 1/4*s**o + 1/4*s**4 - 1/4*s - 1/4*s**2.
s*(s - 1)*(s + 1)**2/4
Let b = 289/308 - 11/28. Let q = b - 1/22. Factor 0 - 1/2*f**3 + 1/2*f - 1/2*f**2 + q*f**4.
f*(f - 1)**2*(f + 1)/2
Let v = 1 - -1. Let d(a) = -a**3 - 2*a**2 + 3*a + 3. Let g be d(-3). What is s in g*s**5 + s**5 - v*s**5 = 0?
0
Let i(n) be the second derivative of 16/15*n**5 + 2/3*n**3 + 4/3*n**4 + 1/6*n**2 - 3*n + 0. What is p in i(p) = 0?
-1/4
Let c(r) be the third derivative of -3*r**2 - 2/45*r**6 + 0*r**3 - 2/45*r**5 + 0 + 0*r**4 - 1/63*r**7 + 0*r - 1/504*r**8. Determine z so that c(z) = 0.
-2, -1, 0
Let p(h) be the second derivative of 0*h**2 - 1/3*h**4 - 3*h + 1/6*h**3 + 0 - 1/10*h**5 + 2/5*h**6 + 3/14*h**7. Suppose p(n) = 0. What is n?
-1, 0, 1/3
Let 1/4*c**3 - 1/4*c**4 + 0*c + 0 + 0*c**2 = 0. What is c?
0, 1
Let f be ((-5)/15)/(12/(-27)). Factor -1/2 + f*k - 1/4*k**2.
-(k - 2)*(k - 1)/4
Let x be -1 - -3 - 54/33. Factor 2/11*k**3 + 0 + x*k**2 + 2/11*k.
2*k*(k + 1)**2/11
Suppose 4*y - 2*d - 10 = 2*y, -14 = -y + 4*d. Suppose -k + 9 = 5*s, 0 = -0*k - y*k - 2. What is q in 5 + 0*q**2 + 3 - 8*q + s*q**2 = 0?
2
Let v(g) = -6*g**4 - 13*g**3 - 14*g**2 - g - 3. Let u(c) = -c**3 - c + 1. Let b(p) = 6*u(p) + 2*v(p). Determine o, given that b(o) = 0.
-1, -2/3, 0
Determine u, given that 6*u + 3*u - 4 + 3*u + 2*u**3 - 8*u**2 - 2*u = 0.
1, 2
Factor -5*f + 23*f + 1 + 4*f**3 + 9*f**2 - 8*f - 4*f.
(f + 1)**2*(4*f + 1)
Let j = 275 + -37046/135. Let v = j + -5/27. Solve v*y**3 + 0*y**2 - 6/5*y + 4/5 = 0 for y.
-2, 1
Suppose -11*i + 10 = -12. Let g(o) be the third derivative of -3*o**i + 0 - 1/12*o**4 + 0*o**5 - 2/9*o**3 + 1/180*o**6 + 0*o. Factor g(r).
2*(r - 2)*(r + 1)**2/3
Let m be (1 + (-4)/(-4))/30. Let x(n) be the second derivative of -n**2 - n - n**4 - 2/5*n**5 - 4/3*n**3 + 0 - m*n**6. What is j in x(j) = 0?
-1
Let y(m) be the first derivative of -m**6/1260 + m**5/420 - m**3 + 4. Let o(t) be the third derivative of y(t). Solve o(z) = 0.
0, 1
Let b(j) be the third derivative of j**8/1680 - j**7/420 + j**6/360 - j**3 - 8*j**2. Let c(w) be the first derivative of b(w). What is s in c(s) = 0?
0, 1
Let m(x) be the second derivative of 1/5*x**5 + 1/15*x**6 + x**2 - 1/3*x**3 + 0 - 3*x - 1/3*x**4 - 1/21*x**7. Solve m(g) = 0.
-1, 1
Let n = -4 - -4. Suppose n = 3*z - 2*j + 3*j - 12, 2*z + j - 9 = 0. Solve 2*b**z - 2*b - 2 + b**4 - 2*b**4 + 3 = 0 for b.
-1, 1
Let p(n) = 3*n**2 + 7*n + 5. Let l = -13 + 22. Suppose 2*u + l = -1. Let m(g) = -2*g**2 - 4*g - 3. Let j(v) = u*m(v) - 3*p(v). Factor j(d).
d*(d - 1)
Let c be (-6)/(-8)*(-64)/(-60). Factor -2/5*l + 0 + 2/5*l**5 - c*l**4 + 0*l**3 + 4/5*l*