*(k + 2)
Let l be 1 + 10/(-4) + 246/160. Let y(b) be the second derivative of 3*b + 0*b**2 - l*b**5 + 1/24*b**4 + 0 + 1/24*b**3. Factor y(q).
-q*(q - 1)*(3*q + 1)/4
Let y be (-10 - (4 - 12))/(-1 - 0). Factor -34/5*v - 6*v**y - 4/5.
-2*(v + 1)*(15*v + 2)/5
Suppose 4*d = -d + 25. Find m, given that -24*m**d - 6*m**4 - 2*m**2 + 4*m**3 + 26*m**5 + 2*m**3 = 0.
0, 1
Let c(w) be the second derivative of -w**7/70 + 3*w**6/50 - 3*w**5/50 - w**4/10 + 3*w**3/10 - 3*w**2/10 - 21*w. Suppose c(b) = 0. What is b?
-1, 1
Let y be 0 + (2 - (3 + -4)). Let w(t) be the first derivative of -2 + 4*t - 14/3*t**y + 5*t**2. Factor w(g).
-2*(g - 1)*(7*g + 2)
Let y(x) be the third derivative of -x**5/30 - x**4/12 + 2*x**3/3 - x**2. Factor y(c).
-2*(c - 1)*(c + 2)
Let m(q) = -5*q**3 + 9*q**2 - 4*q - 2. Let v(l) = -21*l**3 + 36*l**2 - 15*l - 9. Let c(o) = -9*m(o) + 2*v(o). Factor c(w).
3*w*(w - 2)*(w - 1)
Let g(m) be the third derivative of 9*m**2 + 0*m + 0*m**3 - 1/72*m**4 + 0 + 1/72*m**5. Factor g(j).
j*(5*j - 2)/6
Let -3*s**2 - 7*s + 7*s + 3*s**3 - s**5 + s**2 = 0. What is s?
-2, 0, 1
Suppose 0 = -2*b - 6*b + 40. Find p such that -3*p**4 - 24/5*p**3 + 0*p + 0 - 3/5*p**b - 12/5*p**2 = 0.
-2, -1, 0
Solve -8/5*s - 2/5*s**2 - 8/5 = 0.
-2
Let y(c) be the third derivative of -3/20*c**5 + 0*c + 1/12*c**4 - 1/48*c**8 + 0*c**3 + 1/24*c**6 - c**2 + 3/70*c**7 + 0. Let y(m) = 0. Calculate m.
-1, 0, 2/7, 1
Suppose f - 5*f = 16. Let h(a) = 2*a**2 + 3. Let t be h(f). Solve -12*b**5 + t*b**4 + 15*b**2 - 2*b + 1 - 1 - 36*b**3 = 0.
0, 1/4, 2/3, 1
Let x be -9*1*(2 + 1). Let g be 1 + -1 - 6/x. Find w, given that 2/9*w**3 + 0 + 0*w - 2/9*w**4 + 2/9*w**2 - g*w**5 = 0.
-1, 0, 1
Factor -12*x - 78*x**3 - 7*x**4 + 16*x**4 + 8*x**4 - 12 + 81*x**2 + 4*x**4.
3*(x - 2)*(x - 1)**2*(7*x + 2)
Let m = -20 + 22. Let h(p) be the second derivative of -p + 1/2*p**m + 0 + 1/3*p**3 + 1/12*p**4. Factor h(b).
(b + 1)**2
Let m(r) = 2*r**4 + 2*r**3 + 18*r**2 + 8*r + 2. Let w(n) = -2*n**4 - 3*n**3 - 17*n**2 - 8*n - 2. Suppose 4*s = 17 + 3. Let h(i) = s*m(i) + 6*w(i). Factor h(a).
-2*(a + 1)**4
Let t = -59/156 - -6/13. Let h(k) be the second derivative of t*k**4 + 0 - k + 2/3*k**3 + 2*k**2. Factor h(o).
(o + 2)**2
Let f(c) be the first derivative of c**8/6720 - c**6/720 + c**4/96 + 2*c**3/3 + 3. Let w(l) be the third derivative of f(l). Let w(d) = 0. What is d?
-1, 1
Let k be (((-72)/20)/2)/((-5)/25). Suppose -15/2*l**3 - 12 + 6*l + k*l**2 + 3/2*l**4 = 0. What is l?
-1, 2
Let p = -7 - -9. Let y(l) be the third derivative of 1/120*l**5 + 0 + 0*l**3 + 0*l + 2*l**p + 0*l**4. Factor y(t).
t**2/2
Let h be (0 - 1) + 14/10. Let s = 13 - 11. What is o in -h*o**s + 2/5 + 0*o = 0?
-1, 1
Let d(s) be the second derivative of 1/105*s**6 - 2/7*s**2 + 1/42*s**4 - 1/7*s**3 + 3/70*s**5 + 0 + 3*s. Solve d(m) = 0 for m.
-2, -1, 1
Let h(q) be the first derivative of -q**3/7 - 6*q**2/7 - 12*q/7 - 15. Factor h(u).
-3*(u + 2)**2/7
Let v(z) be the second derivative of -z**4/6 + z**3 + 20*z. Factor v(p).
-2*p*(p - 3)
Suppose 8 = 8*l - 4*l. Suppose -2*j - 5*u + 4*u + 6 = 0, -2*u = -4. Factor -3*m**2 - m**l + 2*m**j - 2*m.
-2*m*(m + 1)
Let o be (-1)/(-2 + (-46)/(-22)). Let q be (-2)/o + (-20)/(-11). Factor -4 - 175/2*p**3 - 34*p - 95*p**q.
-(5*p + 2)**2*(7*p + 2)/2
Determine c so that 2/5 - 6/5*c - 2/5*c**3 + 6/5*c**2 = 0.
1
Let t(z) be the third derivative of z**8/6720 - z**6/720 + z**4/8 - 4*z**2. Let n(a) be the second derivative of t(a). Factor n(f).
f*(f - 1)*(f + 1)
Suppose -4*f - 10 = -2*u, 14 = -5*f + 2*u + u. Let b be f - (-3)/54*118. Factor -88/9*q - 140/9*q**2 - 16/9 - b*q**3.
-2*(q + 2)*(5*q + 2)**2/9
Let w(y) be the second derivative of y**7/5040 - y**5/240 - 5*y**4/12 - y. Let u(b) be the third derivative of w(b). Find c, given that u(c) = 0.
-1, 1
Let v(u) be the third derivative of 0 - 1/30*u**5 + 0*u**4 + 1/105*u**7 + 0*u + 0*u**6 + 6*u**2 + 0*u**3. Let v(k) = 0. What is k?
-1, 0, 1
Factor -4/3*w**2 + 0*w**4 - 2/3*w**5 + 2*w**3 + 0 + 0*w.
-2*w**2*(w - 1)**2*(w + 2)/3
Let z be ((-2)/14)/(3/18). Let w = z - -73/28. What is a in -w*a - 5/4*a**2 - 1/2 = 0?
-1, -2/5
Let y = -3 - -5. Solve 3*s**4 - 9*s**3 + 6*s**2 + 2*s**4 - y*s**4 = 0 for s.
0, 1, 2
Let j = -404 + 32722/81. Let d = 89/324 + j. Factor t**2 - 5/4*t + 1/2 - d*t**3.
-(t - 2)*(t - 1)**2/4
Let d(b) be the first derivative of -2*b**4 - 2*b**3/3 + 3. Factor d(w).
-2*w**2*(4*w + 1)
Let y(q) be the second derivative of 1/6*q**3 + 0 + 0*q**2 + 3*q + 1/24*q**4. Find b, given that y(b) = 0.
-2, 0
Let v(i) be the third derivative of -i**6/90 - i**5/60 + i**4/18 + i**3/6 + 16*i**2. Determine u, given that v(u) = 0.
-1, -3/4, 1
Let h(j) be the third derivative of 0 + 1/9*j**3 + 4/45*j**5 + 7/360*j**6 + 2*j**2 + 11/72*j**4 + 0*j. Factor h(y).
(y + 1)**2*(7*y + 2)/3
Let i(n) be the third derivative of n**8/13440 - n**6/480 + n**5/120 - n**4/8 + 3*n**2. Let v(f) be the second derivative of i(f). Factor v(m).
(m - 1)**2*(m + 2)/2
Let -u**2 + 1/2*u + 1 - 1/2*u**3 = 0. Calculate u.
-2, -1, 1
Let y be (3 - 0)/((-3)/(-4)). Let f = -124 + 127. Solve -p**4 - 3*p**3 + 0*p**4 + 4*p**y - 3*p**f = 0 for p.
0, 2
Let o(j) be the second derivative of j**5/240 - j**4/24 + j**3/6 - 2*j**2 + 3*j. Let u(v) be the first derivative of o(v). Factor u(b).
(b - 2)**2/4
Find m, given that -1/3*m**2 + 1/3 + 1/9*m**3 - 1/9*m = 0.
-1, 1, 3
Factor 54/7*l**2 + 1/7*l**4 - 12/7*l**3 + 81/7 - 108/7*l.
(l - 3)**4/7
Let y(z) = 2*z - 6. Let l be y(5). Suppose 10 = l*p + p. Factor 11*a**2 + 21*a**3 + 6*a**2 + 4*a + 7*a**p - 49*a**4.
-a*(a - 1)*(7*a + 2)**2
Find w such that 16/21*w - 4/21*w**3 + 2/7*w**2 + 2/7 = 0.
-1, -1/2, 3
Let b(v) be the second derivative of -v**4/66 + 5*v**3/33 + 6*v**2/11 + 7*v. Factor b(d).
-2*(d - 6)*(d + 1)/11
Let b(i) be the first derivative of 0*i**4 + 0*i - 1 + 0*i**3 - 4/25*i**5 + 1/3*i**6 + 0*i**2. What is q in b(q) = 0?
0, 2/5
Let p(q) be the third derivative of q**8/2184 - q**6/390 + q**4/156 + 16*q**2. Factor p(s).
2*s*(s - 1)**2*(s + 1)**2/13
Let d(q) be the first derivative of -25*q**4/6 - 80*q**3/9 + 19*q**2/3 - 4*q/3 + 11. Let d(u) = 0. What is u?
-2, 1/5
Let u(d) be the second derivative of 2*d**7/21 + 3*d**6/10 + d**5/10 - 2*d**4/3 - d**3 - d**2/2 + 5*d. Factor u(p).
(p - 1)*(p + 1)**3*(4*p + 1)
Let n(w) be the third derivative of -1/180*w**5 + 0*w**4 + 0*w + 0*w**3 - 2*w**2 + 0. Factor n(t).
-t**2/3
Suppose 5*t - 3*m = 22, -5*m + 12 = 4*t - 6*m. Factor -1/3 + 1/6*o**t + 1/6*o.
(o - 1)*(o + 2)/6
Suppose 4*x - 31 + 3 = 0. Let c(y) be the third derivative of 0 + 3*y**2 + 1/70*y**x - 1/20*y**5 + 0*y + 0*y**4 + 0*y**6 + 0*y**3. Factor c(k).
3*k**2*(k - 1)*(k + 1)
Factor 4*s - 5/2*s**2 + 1/2*s**3 - 2.
(s - 2)**2*(s - 1)/2
Let x(t) be the first derivative of -25*t**3/12 + 35*t**2/8 - 5*t/2 - 22. Factor x(g).
-5*(g - 1)*(5*g - 2)/4
Let v(j) = -j**3 + 8*j**2 - 9*j + 17. Let g be v(7). Factor 0*u + 3/2*u**g + 0 - 1/2*u**2 - u**4.
-u**2*(u - 1)*(2*u - 1)/2
Let y = -3 - 7. Let u = -8 - y. Let -3*n + 2*n**4 + 2 + 10*n**2 + u*n**2 - 8*n**3 - 5*n = 0. What is n?
1
Let j(z) be the second derivative of 2*z + 0 + 1/6*z**3 - 1/120*z**5 - 1/12*z**4 + 1/360*z**6 + 0*z**2. Let b(p) be the second derivative of j(p). Factor b(x).
(x - 2)*(x + 1)
Let g be (-40)/15*(-1)/(-2)*-3. Let f(o) = -o - 1. Let q be f(-3). Factor 0*t**3 + 0 + 2/5*t**g - 2/5*t**q + 0*t.
2*t**2*(t - 1)*(t + 1)/5
Let y be (14/6 + (-3)/9)/1. Let b(x) be the second derivative of -y*x - 9/80*x**5 - 1/12*x**3 + 11/48*x**4 + 0*x**2 + 0. Suppose b(l) = 0. What is l?
0, 2/9, 1
Let v(d) = -d**3 + 8*d**2 + 9*d + 5. Let j be v(9). Let g = 9 + j. Determine z so that -g*z**5 + 10*z**3 + 6*z**3 - 2*z**2 + 5*z**2 - 3*z**4 - 2*z = 0.
-1, -1/2, 0, 2/7, 1
Let t(x) be the second derivative of 0 + 11/36*x**4 - 1/3*x**2 + 1/2*x**3 - 9*x. Let t(l) = 0. What is l?
-1, 2/11
Factor -3*m - 2*m**4 + m**5 + 3*m - 4*m**2 + 6 - 12*m**3 + m**5 + 10*m.
2*(m - 3)*(m - 1)*(m + 1)**3
Let k(a) = -2*a. Let o(n) = n + 7. Let z be o(-9). Let v be k(z). Suppose 1 - 19*j**3 + v*j + 23*j**3 - 2 - j**4 - 6*j**2 = 0. What is j?
1
Let x(a) be the first derivative of a**4/12 - 2*a**3/9 - a**2/6 + 2*a/3 + 34. Suppose x(z) = 0. Calculate z.
-1, 1, 2
Let y(w) = w**2 + 5*w + 2. Let k be y(-5). Let 2*l**4 - l**3 + 3*l**3 - k*l**2 - l**5 - l**5 + 0*l**2 = 0. What is l?
-1, 0, 