i**4 + w*i + 0*i**2 + 0*i**3 + 2/7*i**5.
2*i**4*(i + 1)/7
Suppose 38*c = 33 + 43. Factor -1/2 - 3/2*f + 2*f**c.
(f - 1)*(4*f + 1)/2
Factor 13*d**3 - 6*d**4 - 17*d**3 - d**2 + 5*d**4 + 6*d.
-d*(d - 1)*(d + 2)*(d + 3)
Let b(c) be the second derivative of -8/7*c**3 - 6/35*c**5 + 6*c - 13/21*c**4 - 8/7*c**2 - 2/105*c**6 + 0. Factor b(z).
-4*(z + 1)**2*(z + 2)**2/7
Let o(a) be the second derivative of -a**4/6 + 11*a**3/6 - 4*a. Let m(i) = 9*i**2 - 45*i. Let z(x) = -5*m(x) - 21*o(x). Determine h, given that z(h) = 0.
-2, 0
Let y(v) be the third derivative of -v**6/900 - v**5/450 + v**4/90 + 42*v**2. Factor y(d).
-2*d*(d - 1)*(d + 2)/15
Let b(o) be the first derivative of -1/3*o**3 + 0*o**2 + 1/4*o**4 + 3 + 0*o. What is t in b(t) = 0?
0, 1
Let z(o) = o**3 + o**2 - 4*o - 2. Let q be z(-1). Solve -1/4*b**q + 1/2*b**3 + 0 - 1/4*b**4 + 0*b = 0 for b.
0, 1
Let d be 9/36 - 11/(-4). Find i, given that -i**4 + 4/5*i**5 - 3/5*i**d + 0 - 1/5*i + i**2 = 0.
-1, 0, 1/4, 1
Let f(d) be the second derivative of -d**7/189 + d**5/90 + 2*d. Factor f(m).
-2*m**3*(m - 1)*(m + 1)/9
Let q(f) = -12*f**3 - 8*f**2 - 4*f + 8. Let m(v) = 4*v**3 + 3*v**2 + v - 3. Let r(b) = -16*m(b) - 5*q(b). Let r(o) = 0. Calculate o.
-2, -1, 1
Let h(f) = 13*f**2 + f. Let u(k) = 7*k**2 + k. Let l(w) = -4*h(w) + 7*u(w). Find i such that l(i) = 0.
0, 1
Solve 48*q**2 + 6*q**3 + 32*q - q**4 + 18*q**3 + 5*q**4 = 0 for q.
-2, 0
Let o(w) be the third derivative of 0*w**4 + 0*w + 0 - 10*w**2 + 0*w**5 - 1/900*w**6 - 1/2520*w**8 - 2/1575*w**7 + 0*w**3. Find s such that o(s) = 0.
-1, 0
Let p = 101 - 146. Let n be ((-2)/(-5))/((-54)/p). Factor -1/3 + 0*c + n*c**2.
(c - 1)*(c + 1)/3
Let v(t) be the third derivative of t**6/15 - 3*t**5/10 + t**4/2 - t**3/3 + 5*t**2. Factor v(c).
2*(c - 1)**2*(4*c - 1)
Let p(d) be the second derivative of -d**7/56 + 3*d**6/40 - 9*d**5/80 + d**4/16 + d. Determine r so that p(r) = 0.
0, 1
Factor -5*t**5 + 3*t**4 + 3*t**5 + 3*t**3 + t**2 - 4*t**2 - t**5.
-3*t**2*(t - 1)**2*(t + 1)
Let i(u) be the first derivative of -7*u**4/18 - 20*u**3/9 - 4*u**2 - 16*u/9 + 24. Factor i(g).
-2*(g + 2)**2*(7*g + 2)/9
Factor 3*p + 9/2*p**2 + 3/2*p**3 + 0.
3*p*(p + 1)*(p + 2)/2
Let f = -48 - -48. Find j, given that 8/5*j**2 + f + 8/5*j + 2/5*j**3 = 0.
-2, 0
Factor 1/2*b**4 - 1 - 3/2*b**2 - 1/2*b**3 + 5/2*b.
(b - 1)**3*(b + 2)/2
Determine n, given that -9*n + 0*n**2 - n**3 + 6*n - 4*n**2 = 0.
-3, -1, 0
Suppose 59*s - 26 = 33. Factor 2/3*l + s - 1/3*l**2.
-(l - 3)*(l + 1)/3
Let f be (-20)/6*(5 + -2). Let x = -7 - f. Factor 4*m**2 - 5*m - 2 + 1 + 2*m**3 + 3 - x*m**3.
-(m - 2)*(m - 1)**2
Let a = 9 + -15. Let r be (-2)/a*(7 + -1). Let -4*v**2 + 0*v**2 + 4*v + r*v**2 + 4*v**2 - 2*v**3 = 0. What is v?
-1, 0, 2
Let o be (1/36)/((-30)/16). Let f = 52/135 - o. Let -4/5*v**4 + 0*v**2 + f*v**3 + 0 + 2/5*v**5 + 0*v = 0. What is v?
0, 1
Let r(c) be the second derivative of 1/10*c**5 + 2*c + 1/15*c**6 + 0*c**4 + 0*c**3 + 0 + 0*c**2. Suppose r(y) = 0. Calculate y.
-1, 0
Let t(x) be the second derivative of 1/12*x**2 - 1/72*x**4 + 0 + 2*x + 0*x**3. Factor t(n).
-(n - 1)*(n + 1)/6
Factor -17*m**2 - 21*m**5 - 22*m**2 - 135*m**3 + 54*m**3 - 6*m - 69*m**4.
-3*m*(m + 1)**3*(7*m + 2)
Factor -8*m**3 - 8*m - 2 + 14*m**3 - 4*m**4 + 6 + 2*m**3.
-4*(m - 1)**3*(m + 1)
Suppose -u + 4*u - 12 = 0. Suppose -4*j - u = -5*j. Factor -h**3 - h**j + h**5 + h**2 + 3*h**2 - 3*h**2.
h**2*(h - 1)**2*(h + 1)
Let d = -1 - -4. Factor 2*m - 4*m**2 + 0 + 0*m + 2*m**d + 0.
2*m*(m - 1)**2
Let f(x) = x + 1. Let c(z) = z**3 + 7*z**2 - z - 5. Let d be c(-7). Let i be f(d). Determine q so that 2/9 - 8/9*q**i + 4/3*q**2 + 2/9*q**4 - 8/9*q = 0.
1
Let x(h) be the second derivative of -h**6/300 - 2*h**5/75 - h**4/12 - 2*h**3/15 + h**2/2 + 3*h. Let v(b) be the first derivative of x(b). Factor v(t).
-2*(t + 1)**2*(t + 2)/5
Let x(a) = a**2 + 25*a - 23. Let n be x(-26). Solve 1/2*d**5 - 1/2 + 1/2*d + d**2 - d**n - 1/2*d**4 = 0 for d.
-1, 1
Let v(z) be the third derivative of -z**7/1050 - z**6/200 - z**5/100 - z**4/120 + z**2. Suppose v(b) = 0. What is b?
-1, 0
Let l = -75 + 78. Let i(j) be the first derivative of -1/5*j**2 + 4/15*j**l + 0*j - 1/10*j**4 - 1. Factor i(f).
-2*f*(f - 1)**2/5
Factor g**2 - 8/5*g - 1/5*g**3 + 4/5.
-(g - 2)**2*(g - 1)/5
Let j(c) be the first derivative of 1/26*c**4 - 4/13*c + 0*c**3 - 1 - 3/13*c**2. Find l such that j(l) = 0.
-1, 2
Let c be 4*(-4)/(-16)*8. Suppose 2 + 2 = 2*q + 5*f, 4*q = 3*f + c. Factor -2/5*r**q - 4/5*r - 2/5.
-2*(r + 1)**2/5
Let y be 12/(-8)*(-16)/6. Let t(i) be the third derivative of 0*i - 2/15*i**3 + 1/60*i**6 + 4/75*i**5 - i**2 + 0 + 1/60*i**y. Factor t(q).
2*(q + 1)**2*(5*q - 2)/5
Suppose -5*o = 5*l - 40, 0*o - 2*o + 25 = 5*l. Suppose 3*f + l*m - 5 = -2, -m + 1 = -4*f. Find p such that -1/4*p**3 + 1/4*p + f + 0*p**2 = 0.
-1, 0, 1
Find m, given that -11*m**2 + 20*m - 6*m**2 + 22*m**2 + 20 = 0.
-2
Let m be (5 + 1)*15/81. Determine y so that -m*y + 2/9*y**2 + 4/9 + 4/9*y**3 = 0.
-2, 1/2, 1
Let a(d) be the second derivative of 7/36*d**3 - 3/40*d**5 - 6*d + 0 + 0*d**4 - 1/6*d**2. Find n, given that a(n) = 0.
-1, 1/3, 2/3
Let q(w) be the first derivative of 0*w**2 + 0*w**4 + 0*w - 1/660*w**5 + 2/3*w**3 - 4 + 1/1980*w**6. Let c(r) be the third derivative of q(r). Factor c(y).
2*y*(y - 1)/11
Let p(r) be the third derivative of 0*r + 1/2*r**3 + 0*r**4 + 1/60*r**5 + 1/180*r**6 + 0 + r**2. Let k(w) be the first derivative of p(w). Solve k(z) = 0.
-1, 0
Factor 25*p**3 - 12*p**4 + 3*p**5 - 3*p**4 - 2*p**2 - 10*p**2 - p**3.
3*p**2*(p - 2)**2*(p - 1)
Let j(u) = u**2. Let p be j(-1). Let h = p - -3. Solve -2/3*c**3 + 0*c + 0 + 4/3*c**h + 0*c**2 - 2/3*c**5 = 0 for c.
0, 1
Let p be ((-4)/(-36))/(1/2). Let f(r) = 40*r - 38. Let s be f(1). Factor 0*x - p*x**4 - 2/9*x**s + 0 + 4/9*x**3.
-2*x**2*(x - 1)**2/9
Let d = -406 - -407. Factor a**4 - 6*a + 37/4*a**2 - 21/4*a**3 + d.
(a - 2)**2*(a - 1)*(4*a - 1)/4
Let g be (2 - 2) + (-50)/(-275). Factor 6/11*a**2 + 4/11*a - g.
2*(a + 1)*(3*a - 1)/11
Find p, given that 2/9*p**3 + 0 + 0*p - 2/9*p**5 + 8/9*p**2 - 8/9*p**4 = 0.
-4, -1, 0, 1
Let z(v) be the first derivative of -2*v**3/9 + 4*v**2/3 - 8*v/3 - 5. Factor z(k).
-2*(k - 2)**2/3
Let r(m) be the first derivative of 3*m**4/8 + m**3 + 3*m**2/4 + 16. Factor r(a).
3*a*(a + 1)**2/2
Let w(c) = 2*c**4 - 8*c**3 - 2*c**2. Let v(l) = -l**4 + 5*l**3 + l**2. Let f(g) = 8*v(g) + 5*w(g). Suppose f(m) = 0. What is m?
-1, 0, 1
Suppose 1 = 3*q - 11. Suppose -3*x + q*x + 14 = 3*a, -5*x - 10 = 5*a. Suppose 2/7*p**a + 0 + 2/7*p**2 + 0*p = 0. What is p?
-1, 0
Factor 25*r**2 + 4*r**2 + 21*r**2 - 8.
2*(5*r - 2)*(5*r + 2)
Let v = -21 - -33. Suppose 9*i = v*i. Factor -1/4*m**5 + i*m + 1/4*m**2 - 3/4*m**3 + 3/4*m**4 + 0.
-m**2*(m - 1)**3/4
Let j(s) = -4*s**3 + 24*s**2 + 2*s - 2. Let k(r) = -4*r**3 + 24*r**2 + 3*r - 3. Let w(n) = -3*j(n) + 2*k(n). Factor w(m).
4*m**2*(m - 6)
Let b(n) be the third derivative of n**6/30 - 4*n**5/15 - 7*n**2. Factor b(a).
4*a**2*(a - 4)
Let w = 11 - 18. Let o be 7/(-4)*2/w. Find r, given that 3/2*r**4 - 1/2*r**5 - o - r**3 - r**2 + 3/2*r = 0.
-1, 1
Let y(v) = 84*v**4 - 24*v**3 + 8*v**2 + 8*v. Let j(p) = -28*p**4 + 8*p**3 - 3*p**2 - 3*p. Let t(q) = -8*j(q) - 3*y(q). Determine b so that t(b) = 0.
0, 2/7
Let p(a) = -6*a**3 + 30*a - 27. Let z(d) = d**3 - d**2 + 1. Let m(j) = -p(j) - 3*z(j). Suppose m(i) = 0. What is i?
-4, 1, 2
Let z be 40/12 + (-46)/(-69). What is a in -3*a - 3/2*a**3 - 1 - 1/4*a**z - 13/4*a**2 = 0?
-2, -1
Suppose 5*f = 115 - 20. Let n = 21 - f. Let -3/4*j**n + 3/2*j - 3/4 = 0. What is j?
1
Let n(s) be the first derivative of 3*s**2 - 3/10*s**5 + 3/2*s**4 + 1 - 3/2*s - 3*s**3. Factor n(l).
-3*(l - 1)**4/2
Let x be ((-2)/(-3))/(2/6). Let c = x + 0. Factor -2*q**4 - 5*q**3 - 4*q**c + q**4 + q**3.
-q**2*(q + 2)**2
Determine w, given that 4/17*w**4 + 26/17*w + 6/17 + 38/17*w**2 + 22/17*w**3 = 0.
-3, -1, -1/2
Let y(x) be the third derivative of 0 + 0*x - 1/40*x**5 + 1/2*x**3 - 1/16*x**4 + 4*x**2. Factor y(v).
-3*(v - 1)*(v + 2)/2
Suppose -16*j + 4*j**2 + 16 + 4 + 7 - 11 = 0. What is j?
2
Let a be (-3 - (-1 + 3)) + -3. Let p = -6 - a. Factor -6*k**p + 3*k - 1 - 1 + k**3 + 3*k + k**3.
2*(k - 1)**3
Let g(b) be the second derivative of -b**7/560 - b**6/48 - b**5/10 - b**4/4 + b**3/2 - b. Let n(x) be the second derivati