 + 4*p**4 + p + 2*p**5.
2*p*(p - 1)*(p + 1)**3
Let w be 2/3 - (-1190)/(-6). Let v = -196 - w. Let -v*s + 2/3 + 5/3*s**3 - 2/3*s**2 = 0. Calculate s.
-1, 2/5, 1
Let t(r) be the third derivative of 0*r**3 + 0*r**5 + 0*r + 1/108*r**4 - 4*r**2 + 0 - 1/540*r**6. Factor t(z).
-2*z*(z - 1)*(z + 1)/9
Let n = 1 + 2. Let b be 3 + 0 - 3/n. Let -1 + 1 + p**3 - p**b = 0. Calculate p.
0, 1
What is a in 8*a**5 - 2*a**3 - a**5 + 13*a**4 - 8*a**4 = 0?
-1, 0, 2/7
Let c(u) be the second derivative of u + 0*u**2 + 1/16*u**4 + 1/120*u**6 + 0 + 1/24*u**3 + 3/80*u**5. Determine d, given that c(d) = 0.
-1, 0
Factor -93*b**2 - 12*b**4 + 105*b**2 + 16*b - 7*b**3 + 4*b**5 - 13*b**3.
4*b*(b - 4)*(b - 1)*(b + 1)**2
Let j(p) be the first derivative of 3*p**4/4 - p**3 - 9*p**2 + 20. Determine u, given that j(u) = 0.
-2, 0, 3
Let k = 6/43 - -56/215. Factor -1/5*v - 1/5*v**3 + 0 - k*v**2.
-v*(v + 1)**2/5
Let o(a) be the second derivative of 2/5*a**2 + 1/50*a**5 - 2*a + 0 - 1/75*a**6 - 1/3*a**3 + 1/10*a**4. Determine z so that o(z) = 0.
-2, 1
Factor 81*d**2 + 1 + 1 + 2 - 5*d + 41*d.
(9*d + 2)**2
Let g be (-25)/(-30)*2/100. Let k(w) be the third derivative of 1/12*w**4 - 1/6*w**3 - g*w**5 - w**2 + 0 + 0*w. Determine f so that k(f) = 0.
1
Suppose 0*a + 2*a = -3*d + 12, 0 = -a. Let x(v) = -8*v**2 + 9*v - 7. Let i(c) = -c**2 + c - 1. Let q(w) = d*x(w) - 28*i(w). Factor q(k).
-4*k*(k - 2)
Let t(c) be the third derivative of 0 + 0*c - 3/4*c**6 + 43/20*c**5 + 1/10*c**7 + 2*c**3 + c**2 - 3*c**4. Let t(f) = 0. What is f?
2/7, 1, 2
Let g(x) = 3*x**2 + 9*x + 6. Let u(h) be the third derivative of -h**5/10 - 3*h**4/4 - 2*h**3 - h**2. Let q(y) = 5*g(y) + 2*u(y). Find d, given that q(d) = 0.
-2, -1
Suppose -4 = 3*a - 5*a. Suppose 3*k = -6*p + 5*p - a, -4*p - 8 = 2*k. Find g such that -4/3*g**2 + k + 0*g + 2/3*g**3 = 0.
0, 2
Let w(b) be the second derivative of b**4/32 + 3*b**3/16 + 3*b**2/8 - 5*b. Factor w(j).
3*(j + 1)*(j + 2)/8
Let c(m) be the second derivative of 0*m**2 + 0 + 1/70*m**5 - 2/21*m**3 - 4*m - 1/42*m**4. Factor c(b).
2*b*(b - 2)*(b + 1)/7
Let p(j) be the third derivative of j**7/1470 + j**6/840 - j**5/420 - j**4/168 + 13*j**2. Determine h, given that p(h) = 0.
-1, 0, 1
Let f be 38/8 + 6/(-8). Solve -1/3*g**f + 0*g - 1/3*g**3 + 1/3*g**5 + 0 + 1/3*g**2 = 0 for g.
-1, 0, 1
Suppose 0 = -m - 2*x - 8, -2*m - 2*x - 15 = x. Let i be (m/(-15))/((-3)/(-30)). Factor 0*v + 4*v**3 + 6*v**2 - v - i*v**4 - 7*v**5 + 4*v**5 - 2.
-(v - 1)*(v + 1)**3*(3*v - 2)
Suppose -17 = 2*h - 23. Let f(t) be the first derivative of -2/21*t**h + 2 + 0*t**2 + 2/35*t**5 + 1/21*t**6 + 0*t - 1/14*t**4. Factor f(o).
2*o**2*(o - 1)*(o + 1)**2/7
Let j(i) = -i**3 + 15*i**2 - 26*i + 3. Let q be j(13). Factor -9/2*w**q + 7/2*w**2 - 1/2*w**5 - w + 5/2*w**4 + 0.
-w*(w - 2)*(w - 1)**3/2
Let d(l) = -17*l**3 - 11*l**2 + 29*l + 12. Let n(w) = 6*w**3 + 4*w**2 - 10*w - 4. Let q(x) = 4*d(x) + 11*n(x). Factor q(r).
-2*(r - 2)*(r + 1)**2
Let m = -370 - -2961/8. Factor -m*w**5 + 0*w + 0*w**3 + 0*w**4 + 0*w**2 + 0.
-w**5/8
Let z(j) be the third derivative of j**5/60 - j**4/4 + 4*j**3/3 - 42*j**2. Factor z(f).
(f - 4)*(f - 2)
Let t(h) be the second derivative of h**6/135 - h**4/54 + 7*h. What is g in t(g) = 0?
-1, 0, 1
Let v(h) be the third derivative of h**7/105 - h**6/60 - h**5/10 + h**4/12 + 2*h**3/3 - 23*h**2. Factor v(c).
2*(c - 2)*(c - 1)*(c + 1)**2
Factor 0 + 1/7*k**4 + 3/7*k**3 + 2/7*k**2 + 0*k.
k**2*(k + 1)*(k + 2)/7
Let w(m) = m**4 + m**3 + m. Let j(s) = 8*s**4 + 7*s**3 + 7*s. Suppose -4*n - 42 = -n. Let o be 6/2 + 1 + -2. Let c(v) = n*w(v) + o*j(v). Solve c(k) = 0.
0
Suppose 0 = -5*o + 2*p - 58, 2*o - 6*p + 22 = -4*p. Let q be ((-1)/9)/(o/36). Suppose q + 2/3*b + 1/3*b**2 = 0. Calculate b.
-1
Let t(b) be the second derivative of -b**7/231 + 4*b**6/165 - b**5/22 + b**4/33 + b. Factor t(j).
-2*j**2*(j - 2)*(j - 1)**2/11
Let s(b) = -b**3 + 3*b**2 + 4*b + 4. Let v be s(4). Suppose v*w - 5 = 3. Solve -14*a**5 - 22*a**4 - 8/7*a**w + 0*a - 64/7*a**3 + 0 = 0 for a.
-1, -2/7, 0
Suppose -7*m + 37 = 23. Find u, given that 2*u + 2/3*u**m + 4/3 = 0.
-2, -1
Let y(g) be the third derivative of -1/240*g**5 - 1/160*g**6 + 1/32*g**4 + 0*g + 0 + 5*g**2 - 1/840*g**7 + 1/12*g**3. Factor y(q).
-(q - 1)*(q + 1)**2*(q + 2)/4
Let o(s) be the first derivative of s**6/135 - s**5/90 - s**4/54 + s**3/27 - s - 1. Let w(r) be the first derivative of o(r). Factor w(t).
2*t*(t - 1)**2*(t + 1)/9
Let b(o) be the second derivative of o**8/5880 + o**7/1470 - o**5/210 - o**4/84 + o**3/3 - o. Let w(x) be the second derivative of b(x). Factor w(r).
2*(r - 1)*(r + 1)**3/7
Let k(b) be the third derivative of -b**7/1575 - b**6/150 - 13*b**5/450 - b**4/15 - 4*b**3/45 - 20*b**2. Suppose k(c) = 0. Calculate c.
-2, -1
Let -16/5*w**4 + 36/5*w**3 - 12/5*w**2 - 4*w + 12/5 = 0. Calculate w.
-3/4, 1
Let q(o) be the second derivative of -o**6/180 - o**5/15 - o**4/3 + o**3/2 - 4*o. Let l(j) be the second derivative of q(j). Factor l(p).
-2*(p + 2)**2
Let c(s) be the second derivative of -3*s**5/100 + s**4/20 + s**3/10 - 3*s**2/10 - 8*s. Factor c(p).
-3*(p - 1)**2*(p + 1)/5
Let s(a) be the first derivative of -2/5*a**5 - 1/6*a**6 - 1/4*a**4 + 0*a + 0*a**3 - 7 + 0*a**2. Determine l, given that s(l) = 0.
-1, 0
Suppose 0 = -y + 3*k + 16, 0 = -5*y - 2*k + 2 - 7. Let b(i) = i**3 + i**2 + 2*i - 2. Let z be b(y). Factor 10/7*r**z - 6/7*r - 4/7.
2*(r - 1)*(5*r + 2)/7
Let f(d) be the second derivative of -5*d**8/8064 + d**7/1008 + d**6/480 + d**5/720 + d**4/12 - 3*d. Let w(r) be the third derivative of f(r). Factor w(u).
-(u - 1)*(5*u + 1)**2/6
Let s(l) be the third derivative of -l**5/210 - l**4/14 - 3*l**3/7 - 5*l**2. Find t such that s(t) = 0.
-3
Suppose 0 = a - 5*l + 18, -l + 2 + 4 = a. Factor 3/5*j - 2/5 - 1/5*j**a.
-(j - 2)*(j - 1)/5
Let w be ((-7)/(-14))/(2/12). Determine g, given that -6*g**4 - w*g**3 - 4*g**2 + g**4 + 3*g**2 + 2*g**4 - g**5 = 0.
-1, 0
Let h(o) be the second derivative of -3/25*o**5 + 5*o - 2/15*o**4 + 1/35*o**7 + 1/5*o**3 + 2/5*o**2 + 2/75*o**6 + 0. Find k, given that h(k) = 0.
-1, -2/3, 1
Let i(t) be the third derivative of t**8/672 - t**6/120 + t**4/48 - t**2. Suppose i(d) = 0. What is d?
-1, 0, 1
Suppose -29*k = 5*k - 68. Factor -2/3*j + 2/3*j**3 + 4/3 - 4/3*j**k.
2*(j - 2)*(j - 1)*(j + 1)/3
Let l be (18/15)/((-12)/(-8)). Find s such that -l*s + 2/5*s**2 + 0 = 0.
0, 2
Let i(k) be the third derivative of 9*k**7/140 + k**6/5 + k**5/8 - k**4/8 + 24*k**2. Factor i(h).
3*h*(h + 1)**2*(9*h - 2)/2
What is i in -1/4*i + 1/4*i**2 - 1/2 = 0?
-1, 2
Let m(h) = h**2 + h + 2. Let s be m(-1). Let f(u) be the first derivative of 1/3*u**4 - 2/15*u**5 + 2/3*u + 0*u**3 - 2 - 2/3*u**s. Find a such that f(a) = 0.
-1, 1
Let f = -28 - 36. Let h = 194/3 + f. Factor -8/3*u**4 - 4*u**3 - 2/3*u**5 + 0 - 8/3*u**2 - h*u.
-2*u*(u + 1)**4/3
Let j(i) be the second derivative of -2*i**5/35 + 8*i**4/21 - 5*i**3/21 - 25*i**2/7 + 10*i. Solve j(s) = 0 for s.
-1, 5/2
Let b be (1/(-4))/(3/(-36)). Let j(u) be the second derivative of 0*u**4 - 2*u + 0*u**b - 1/10*u**5 + 0 + 0*u**2 - 1/15*u**6. Factor j(y).
-2*y**3*(y + 1)
What is n in 3/7 + 3/7*n**2 + 6/7*n = 0?
-1
Let c = 1897/4 - 474. Factor 1 - q - 3/4*q**2 + c*q**4 + 1/2*q**3.
(q - 1)**2*(q + 2)**2/4
Let m(h) be the second derivative of h**9/1008 - h**8/280 + h**7/280 + 4*h**3/3 - 6*h. Let q(y) be the second derivative of m(y). Factor q(p).
3*p**3*(p - 1)**2
Let a = -16 - -18. Find s such that -2*s**4 - 2*s**4 + 16*s + 16*s**3 - 4 + 0 - 24*s**a = 0.
1
Let o = -12 - -16. Factor -2*t**2 - 24*t**4 + 25*t**4 - 3*t**3 + 2*t**2 + o*t.
t*(t - 2)**2*(t + 1)
Let w = -69 - -71. Factor 1/2*z**w + 0 - z.
z*(z - 2)/2
Let z(i) be the first derivative of -i**5 - 5*i**4/4 + 5*i**3/3 + 5*i**2/2 + 6. Factor z(h).
-5*h*(h - 1)*(h + 1)**2
Let h = -277 - -279. Determine t so that -1/5*t**3 + 0*t - 2/5*t**h + 0 = 0.
-2, 0
Factor 0*p**3 + 0 + 2/15*p**2 - 2/15*p**4 + 0*p.
-2*p**2*(p - 1)*(p + 1)/15
Let o(f) be the second derivative of 5*f**6/2 + 27*f**5/4 - 13*f**4/2 - 18*f**3 - 12*f**2 + 2*f. Factor o(l).
3*(l - 1)*(l + 2)*(5*l + 2)**2
Suppose 7*m + 26 = 54. What is y in -2*y**2 + 2*y**3 - 1/2*y**m + 0*y + 0 = 0?
0, 2
Factor 2*g**2 - 6*g**2 + 2*g**3 - 6*g**3.
-4*g**2*(g + 1)
Let z = 1281 - 1281. Factor z*l**2 + 9/4*l - 3/4*l**3 + 3/2.
-3*(l - 2)*(l + 1)**2/4
