)*(4*p + 1)/9
Let r = 8 - 4. Suppose -a + 3*y - 9 = 0, -6*y + 32 = 4*a - y. Factor a - r*u - u**2 - 2 + 10*u + 10*u**2 + 4*u**3.
(u + 1)**2*(4*u + 1)
Let i be 22/26 - 10/(-65). Let b(x) be the first derivative of 1/12*x**4 + 2/9*x**3 + 1/6*x**2 + i + 0*x. Factor b(y).
y*(y + 1)**2/3
Let x(f) be the first derivative of 2*f**6/15 - 4*f**4/5 - 8*f**3/15 + 6*f**2/5 + 8*f/5 + 5. Solve x(g) = 0 for g.
-1, 1, 2
Let d be 3/(3 - -6)*6. Let -8/9*a + 8/9*a**d + 2/9 = 0. What is a?
1/2
Let u(r) be the first derivative of r**4/6 - r**3/3 - 2*r**2 - 8*r + 7. Let t(c) be the first derivative of u(c). Determine y, given that t(y) = 0.
-1, 2
Suppose 0 = -4*i - l + 3, 0*l + 10 = -2*l. Factor 3/5*c**3 + 6/5*c**i + 0 + 3/5*c.
3*c*(c + 1)**2/5
Factor 3*x**2 - 2*x - 12*x**2 - 2*x**3 + 5*x**2.
-2*x*(x + 1)**2
Let d(m) be the second derivative of 2*m + 1/27*m**4 + 0 - 1/27*m**6 + 0*m**3 + 0*m**2 + 1/30*m**5. Factor d(g).
-2*g**2*(g - 1)*(5*g + 2)/9
Solve 2*u**4 + 3*u**4 + 3 - 6*u**2 - 2*u**4 = 0.
-1, 1
Let w(r) be the first derivative of 1/4*r - 1/6*r**3 + 1/8*r**2 - 2 + 1/24*r**6 + 1/20*r**5 - 1/8*r**4. Let w(d) = 0. Calculate d.
-1, 1
Let n(p) be the first derivative of 2 - 1/2*p**4 - p + 1/2*p**2 + 1/6*p**6 + 2/3*p**3 - 1/5*p**5. What is w in n(w) = 0?
-1, 1
Let i(q) be the first derivative of q**6/4 + 9*q**5/10 - 2*q**3 + 30. Suppose i(f) = 0. What is f?
-2, 0, 1
Let b = -778 - -778. Factor 1/2*h**4 + b + 1/2*h - 1/2*h**3 - 1/2*h**2.
h*(h - 1)**2*(h + 1)/2
Let q(w) be the second derivative of w**4/144 + w**3/36 + w**2/24 + 17*w. Factor q(m).
(m + 1)**2/12
Suppose -5*z - 4*l + 26 = 0, -2*z - 2*l = -4*z - 4. Factor -2*k**z + 5*k**3 - 5*k**3 - 2*k**3.
-2*k**2*(k + 1)
Let u be 7/(7/(-10)) - -2. Let r be 2/u + 27/36. Factor r*n**4 - 1/2*n + 1/2 + n**3 - 1/2*n**5 - n**2.
-(n - 1)**3*(n + 1)**2/2
Let l be 1*10/(-15) + (-40)/(-15). Factor -4/3*c**3 + 2/3*c**5 + 4/3*c**l - 2/3 - 2/3*c**4 + 2/3*c.
2*(c - 1)**3*(c + 1)**2/3
Let f(c) = c**3 - 14*c**2 - 16*c + 15. Let r be f(15). Let r*m**2 - 3*m**2 + 6*m + 0*m**2 = 0. Calculate m.
0, 2
Factor 4/11*j**4 + 2/11*j**5 - 4/11*j**3 - 14/11*j - 16/11*j**2 - 4/11.
2*(j - 2)*(j + 1)**4/11
Let l(t) = 2*t - 12. Let b be l(6). Let m = 3 + 0. Factor 1/3*y + b + 2*y**2 + 3*y**m + 4/3*y**4.
y*(y + 1)**2*(4*y + 1)/3
Suppose 4 = 2*i - 0. Suppose 0*f + i*f - 4 = 0. Suppose -4*l**2 + l**4 + 0*l**5 + l**4 - 2*l**5 - f*l + 4*l**3 + 2 = 0. What is l?
-1, 1
Let r = -47/4 - -12. Determine h, given that -r*h**2 + 1/4*h + 1/2 = 0.
-1, 2
Let g be 1/2*3/1. Let i = 99 - 95. Factor c**2 - 7/2*c**3 + 0*c + i*c**4 + 0 - g*c**5.
-c**2*(c - 1)**2*(3*c - 2)/2
Let g(k) be the second derivative of -k**5/5 - 5*k**4/3 - 9*k. Factor g(w).
-4*w**2*(w + 5)
Let g = -6894/25 + 276. Let i(t) be the first derivative of 0*t**2 - 3/20*t**4 - 2 + 0*t - 1/10*t**6 + 0*t**3 - g*t**5. Determine h, given that i(h) = 0.
-1, 0
Let u be 19/52 + (7 - 7). Let h = u - 3/26. Find k such that 1/4*k**3 - 1/4*k - h*k**4 + 1/4*k**2 + 0 = 0.
-1, 0, 1
Let y(x) be the first derivative of x**4/20 + x**3/10 - 3*x - 4. Let t(r) be the first derivative of y(r). Find w, given that t(w) = 0.
-1, 0
Let a be 7 + -3 + 1 + 1. Suppose -a = -5*w + 3*w. Factor 0 - 1/5*t - 2/5*t**2 + 0*t**w + 1/5*t**5 + 2/5*t**4.
t*(t - 1)*(t + 1)**3/5
Let q(f) = 3*f**3 - 2*f**2 - 3*f + 4. Let a be q(2). Let h(b) be the first derivative of -a*b**3 + 51/2*b**2 + 9/4*b**4 - 18*b + 1. Let h(z) = 0. Calculate z.
2/3, 1, 3
Let n be (-5)/15 - (-7)/3. Suppose 0 = -3*j + n*j. Determine w, given that j*w**3 + 0 + 6/5*w**2 - 4/5*w - 2/5*w**4 = 0.
-2, 0, 1
Let t(p) be the first derivative of p**6/18 - p**5/5 - p**4/6 + 4*p**3/3 - 4*p**2/3 + 8. Factor t(r).
r*(r - 2)**2*(r - 1)*(r + 2)/3
Determine w, given that w - 4*w**2 - 13*w - w**2 + 17*w**2 - 4*w**3 + 4 = 0.
1
Let r(c) be the third derivative of -c**8/50400 + c**7/12600 - c**5/20 + 3*c**2. Let b(l) be the third derivative of r(l). Let b(i) = 0. Calculate i.
0, 1
Let k(a) = 3*a + 1. Let l be k(7). Suppose 3*o - 3*v - 8 = -7*v, l = 5*o - 2*v. Suppose -y**o - y**3 + 0*y**4 - 2*y**4 + 4*y**4 = 0. Calculate y.
0, 1
Let b = 63/10 - 24/5. What is z in -b*z**3 + 3/2 - 3*z**2 + 3/4*z**5 + 3/4*z + 3/2*z**4 = 0?
-2, -1, 1
Let t(p) be the second derivative of 1/84*p**7 - 1/4*p**2 - 1/20*p**5 - 1/60*p**6 + 1/12*p**3 + 1/12*p**4 + 0 - p. Factor t(m).
(m - 1)**3*(m + 1)**2/2
Let r(g) be the second derivative of g**8/40320 - g**7/5040 + g**5/180 + g**4/12 + 3*g. Let c(s) be the third derivative of r(s). Suppose c(d) = 0. What is d?
-1, 2
Let q(r) be the third derivative of -r**8/1008 + r**6/90 - r**5/90 - r**4/24 + r**3/9 + 16*r**2. Factor q(h).
-(h - 1)**3*(h + 1)*(h + 2)/3
Let i(p) be the third derivative of -p**8/180 - p**7/70 - p**6/135 - p**3/3 - 8*p**2. Let o(h) be the first derivative of i(h). Factor o(r).
-4*r**2*(r + 1)*(7*r + 2)/3
Let 0*t**2 - 3/5*t**4 + 0*t + 2/5*t**3 + 0 + 1/5*t**5 = 0. What is t?
0, 1, 2
Let b = -6 - -3. Let p(x) = -x**2 + 2*x. Let r(k) = k**2 - 2*k. Let g(l) = b*r(l) - 4*p(l). Determine j so that g(j) = 0.
0, 2
Let d(a) be the first derivative of 1 - 1/3*a**3 - a - 1/2*a**2. Let n(j) = j**2 + 5*j + 3. Let l(b) = -3*d(b) - n(b). Factor l(u).
2*u*(u - 1)
Let j be (-2)/(-9) - (-1 + 2/2). Find p such that j*p**2 + 2/9*p**4 + 0*p - 4/9*p**3 + 0 = 0.
0, 1
Let h(f) be the second derivative of -f**6/10 + 3*f**5/4 - 9*f**4/4 + 7*f**3/2 - 3*f**2 - 7*f. Factor h(v).
-3*(v - 2)*(v - 1)**3
Let x = 36 + -33. Let k(t) be the first derivative of -1/2*t + 2 + 1/6*t**x - 5/16*t**4 + 5/8*t**2. Factor k(z).
-(z - 1)*(z + 1)*(5*z - 2)/4
Let 0*b**2 - 20*b**5 + 5*b**4 - 68*b**3 + 16*b - 77*b**4 + 0*b**2 = 0. Calculate b.
-2, -1, 0, 2/5
Let s(g) be the second derivative of -g**7/11340 - g**6/3240 + g**4/4 - g. Let v(p) be the third derivative of s(p). Suppose v(y) = 0. What is y?
-1, 0
Let f(d) be the second derivative of -d**5/24 + d**4/4 - 7*d**3/36 - d**2/2 - 11*d. Determine v so that f(v) = 0.
-2/5, 1, 3
Let k(q) be the first derivative of 25*q**4/18 + 10*q**3/27 - 2*q**2/3 - 2. Factor k(a).
2*a*(5*a - 2)*(5*a + 3)/9
Let q(u) = u**3 + 9*u**2 - 13*u. Let f be q(-9). Let o be (26/f)/(4/6). Factor 0*z**2 - 1/3*z**3 + o*z**5 + 0 + 0*z + 0*z**4.
z**3*(z - 1)*(z + 1)/3
Factor 6*j**2 + 368*j - 2*j**3 - 388*j - 2*j**3 - 30*j**2.
-4*j*(j + 1)*(j + 5)
Let h(n) = n**5 + 2*n**4 + 2*n**3 + n**2 - 3*n. Suppose -2 = 2*f + 4. Let o(z) = z**3 + z**2 - z. Let a(u) = f*o(u) + h(u). Suppose a(i) = 0. Calculate i.
-2, -1, 0, 1
Let q(k) be the first derivative of k**2 + 3 + k + 1/3*k**3. Factor q(h).
(h + 1)**2
Let w(d) = d**4 - 2*d**2 - 2*d - 1. Let a(m) = -5*m**4 + 10*m**2 + 11*m + 6. Let n(u) = -2*a(u) - 11*w(u). Factor n(c).
-(c - 1)**2*(c + 1)**2
Determine j, given that 43*j**2 + 4*j - 4*j - 44*j**2 = 0.
0
Let l(t) be the second derivative of t**8/5040 - t**6/1080 + 2*t**3/3 - 2*t. Let r(h) be the second derivative of l(h). Solve r(x) = 0 for x.
-1, 0, 1
Suppose 3*o = -2*o + 25. Find q, given that 1 - 8*q + 7*q**2 - 5*q**2 + o = 0.
1, 3
Let x(f) be the first derivative of 9*f**5/5 + 15*f**4/4 + f**3 - 3*f**2/2 - 24. Find c, given that x(c) = 0.
-1, 0, 1/3
Let y be 6/(-12) + 22/20. Let -y - 3/5*p + 3/5*p**3 + 3/5*p**2 = 0. What is p?
-1, 1
Find r, given that 1/2*r**2 - 1/6*r**3 - 1/3 - 1/6*r**4 + 1/6*r = 0.
-2, -1, 1
Let f(z) be the third derivative of -z**6/60 - z**5/10 - z**4/4 - z**3/3 - 4*z**2. Let f(b) = 0. What is b?
-1
Let a be (42/10)/((-4)/(-60)). Factor -a*y + 63*y - 4*y**2.
-4*y**2
Let l(x) be the first derivative of -1/3*x**3 + 1/2*x + 1/10*x**5 + 1/4*x**4 - 1/12*x**6 - 1/4*x**2 + 2. Find y, given that l(y) = 0.
-1, 1
Determine o so that 1/3 + 1/2*o + 1/6*o**2 = 0.
-2, -1
Let a be ((-5)/(-1) - 6) + (-26)/(-8). Suppose -j**3 + 1/4 - 3/2*j + a*j**2 = 0. Calculate j.
1/4, 1
Let h be 64/12 + 2/3. Let r = 8 - h. Determine n so that 2 + 2*n**r - 1 - 1 = 0.
0
Let p be (-3469)/(-63) + 8/36. Let r = p + -55. Solve -2/7*f + 2/7*f**2 + r*f**3 - 2/7*f**4 + 0 = 0 for f.
-1, 0, 1
Let n(i) = i**3 + 6*i**2 + 4*i - 2. Let o(j) = -j**3 - 6*j**2 - 5. Let u be o(-6). Let s be n(u). Factor 12*t**2 + 72/5*t + 16/5 - 10*t**s.
-2*(t - 2)*(5*t + 2)**2/5
Let q(n) = 7*n + 1. Let w be q(3). Let d = w + -12. Factor 1 - 1 + d*i**2 + 8 - 24*i.
2*(i - 2)*(5*i - 2)
Let y(l) = -l - 1. Let o be y(-3). Let -f**3 + 3 - o