*v**7. Factor l(c).
-2*c**2*(c - 1)*(c + 2)/5
Determine a, given that 3*a**4 + 2*a**4 + a**3 + 2*a**3 - 6*a**2 - 3*a**5 + a**4 = 0.
-1, 0, 1, 2
Let k(u) = u**3 + 5*u**2 - 2*u - 6. Let h be k(-5). Let g(n) be the second derivative of -1/10*n**h - 1/5*n**2 + 0 - 3*n + 1/50*n**5 + 1/5*n**3. Factor g(j).
2*(j - 1)**3/5
Let c(t) be the first derivative of t**2 - 1/6*t**3 - 2*t - 4. Factor c(a).
-(a - 2)**2/2
Let r(i) be the second derivative of i**5/10 + i**4/2 + 2*i**3/3 + 8*i. Solve r(t) = 0 for t.
-2, -1, 0
Let u(x) = -x - 5. Let z be u(-10). Let g = -5 + z. What is f in 2/7*f + g + 8/7*f**2 + 6/7*f**3 = 0?
-1, -1/3, 0
Let x(v) be the third derivative of -1/30*v**6 + 0*v**5 + 1/6*v**4 - 2*v**2 + 0*v - 1/3*v**3 + 1/105*v**7 + 0. Factor x(h).
2*(h - 1)**3*(h + 1)
Let h(f) be the first derivative of -3/4*f**4 - 7/20*f**5 - f - 1/3*f**3 + 0*f**2 + 2. Let i(w) be the first derivative of h(w). Factor i(x).
-x*(x + 1)*(7*x + 2)
Suppose -1/6*v**5 + 0*v**4 + v**3 + 1/2*v + 0 - 4/3*v**2 = 0. What is v?
-3, 0, 1
Suppose -3*j - 1 = 35. Let w be ((-9)/j)/(2/8). Factor w*g**2 + 4*g - 1 - 2*g**2 + 5.
(g + 2)**2
Determine x so that 6/5*x - 2/5 - 6/5*x**2 + 2/5*x**3 = 0.
1
Let m(r) = 2*r**2 + 15*r + 21. Let j be m(-6). Factor -1/4*u + 1/4*u**4 - 1/4*u**2 + 0 + 1/4*u**j.
u*(u - 1)*(u + 1)**2/4
Suppose 2/7*s**2 + 20/7*s + 50/7 = 0. What is s?
-5
Let p(v) be the second derivative of v**6/75 + 2*v**5/25 + v**4/6 + 2*v**3/15 - 7*v. Determine a, given that p(a) = 0.
-2, -1, 0
Suppose -j + 4*j = 4*r - 2, 2*r - 2 = j. Determine z so that 30*z**2 - 79*z**2 - 39*z**r - 24 + 96*z + 32*z**3 - 12 - 4*z**4 = 0.
1, 3
Let g(n) be the third derivative of n**6/280 - n**4/56 - 4*n**2. Suppose g(c) = 0. What is c?
-1, 0, 1
Suppose -u - f = 4*f + 9, 4*f = 4*u - 36. Suppose -u*g + 3*g = 0. Factor -1/2*r**2 + g + 0*r.
-r**2/2
Let p be -4 - 8*4/(-6). Let s(o) be the first derivative of 2/9*o**3 + 1 + 8/3*o + p*o**2. Suppose s(x) = 0. What is x?
-2
Let r(j) be the third derivative of j**5/270 - j**4/54 - 2*j**2. Suppose r(b) = 0. Calculate b.
0, 2
Suppose -3*f + 6 = -g, 2*g = -2*g + 4*f. Factor -2*i**g + 4*i - 12*i - 11*i**4 - 12*i**2 - 6*i**3 - 2 + 9*i**4.
-2*(i + 1)**4
Let s(z) = 4*z**3 - 2*z**2 + 2*z - 4. Let j(d) = d**3 - d**2 + d - 1. Let y(p) = -5*j(p) + s(p). What is o in y(o) = 0?
1
Let t(l) be the third derivative of -l**8/336 - l**7/210 + 9*l**2. Let t(r) = 0. What is r?
-1, 0
Let l(r) be the second derivative of r**4/30 + 16*r**3/15 + 64*r**2/5 + 25*r - 1. Factor l(u).
2*(u + 8)**2/5
Suppose -4*s + 12 = 3*l, -5*l + 1 - 4 = -s. Factor -c**2 - 2*c + 3*c**3 - 2*c**s + 2*c.
c**2*(c - 1)
Let c(h) = h. Let w be c(5). What is m in -3*m**4 + 5*m + 1 + m**w + 2*m**3 - 4*m - 4*m + 2*m**2 = 0?
-1, 1
Suppose 0 = -3*c + 1 + 29. Solve -c*s - 11*s**3 + 33/2*s**2 + 5/2*s**4 + 2 = 0.
2/5, 1, 2
Let f(t) = -t**3 + t**2 + 1. Let n(x) = x**5 - 4*x**4 + 7*x**3 - 4*x - 4. Let u(m) = -4*m**2 - m - 1. Let r be u(-1). Let i(k) = r*f(k) - n(k). Factor i(q).
-q*(q - 2)**2*(q - 1)*(q + 1)
Let n(b) = -b - 8. Let o be n(-8). Let v(m) be the second derivative of -1/75*m**6 - 2*m + o*m**2 - 1/25*m**5 - 1/30*m**4 + 0 + 0*m**3. Factor v(q).
-2*q**2*(q + 1)**2/5
Let h(j) be the first derivative of -3*j**5/35 + 9*j**4/14 + 15*j**3/7 + 12*j**2/7 - 34. Suppose h(q) = 0. What is q?
-1, 0, 8
Let t = -14 + 18. Let k(f) = -f**2 + 6*f - 8. Let q be k(t). Let 7/3*j**4 + 4*j**3 + j**2 + q - 2/3*j = 0. What is j?
-1, 0, 2/7
Let t(s) = -s**2 - 3*s - 2. Let j be t(-5). Let g be ((-3)/2)/(9/j). Factor 2*r**2 + 4 - 2*r**3 - 6*r**g - 2*r + 4*r.
-2*(r - 1)*(r + 1)*(r + 2)
Let h(v) be the second derivative of -7*v**6/6 - 19*v**5/4 - 25*v**4/4 - 5*v**3/6 + 5*v**2 - 17*v. Suppose h(p) = 0. Calculate p.
-1, 2/7
Let x(z) be the first derivative of 2*z**5/25 - z**4/4 + z**3/5 + z**2/10 - z/5 + 4. Factor x(d).
(d - 1)**3*(2*d + 1)/5
Suppose -3*r + 1 = 1. Let o(c) be the second derivative of 1/4*c**2 + 1/24*c**4 + r - 2*c - 1/6*c**3. Factor o(p).
(p - 1)**2/2
Let d(q) be the first derivative of -q**8/2016 + q**7/630 - q**5/180 + q**4/144 + q**2 + 1. Let p(a) be the second derivative of d(a). Factor p(v).
-v*(v - 1)**3*(v + 1)/6
Suppose 0 = -2*a - 2*a. Let l(y) be the second derivative of a + 1/18*y**3 - y + 0*y**2 + 1/60*y**5 - 1/18*y**4. Factor l(n).
n*(n - 1)**2/3
Suppose 2*w - 4*n - 16 = 0, -w - 2*w + 21 = -5*n. Solve -4*q - 2*q**4 - 2*q**w - 35*q**5 + 39*q**3 - 2*q**2 + 6*q**4 = 0.
-1, -2/7, 0, 2/5, 1
Factor -13*w**3 - w**5 + 2*w**5 + 2*w**4 + 12*w**3 - 2*w**2.
w**2*(w - 1)*(w + 1)*(w + 2)
Let z(c) be the first derivative of -5 + 10/3*c**3 - 2*c + c**2 + 3/2*c**4. Find v, given that z(v) = 0.
-1, 1/3
Factor 1/2*b**3 + 0 + 0*b - b**2.
b**2*(b - 2)/2
Let v(j) be the second derivative of -1/12*j**4 + 0 + 4*j + 1/6*j**3 + 0*j**2. Factor v(y).
-y*(y - 1)
Let s(v) be the third derivative of v**7/42 - 7*v**6/120 - v**5/20 + 7*v**4/24 - v**3/3 - 5*v**2. Factor s(a).
(a - 1)**2*(a + 1)*(5*a - 2)
Suppose 0 - 1/3*f**2 - 5/3*f = 0. Calculate f.
-5, 0
Let s(j) be the third derivative of j**5/30 - j**4/12 + j**3/2 + 3*j**2. Let t(y) = 4*y**2 - 4*y + 7. Let m(a) = 7*s(a) - 3*t(a). Solve m(b) = 0 for b.
0, 1
Factor -1/2*r + 0 + 0*r**2 + 1/2*r**3.
r*(r - 1)*(r + 1)/2
Find p, given that -5*p**2 + 0 - 5/3*p**4 + 5*p**3 + 5/3*p = 0.
0, 1
Let p(y) be the third derivative of -y**8/3528 - 2*y**7/2205 + y**6/1260 + y**5/315 - 8*y**2. Solve p(b) = 0.
-2, -1, 0, 1
Let a(j) = -j**4 - 4*j**3 - 4*j**2 - 6*j - 1. Let k(g) = g**2 - g. Let v(n) = a(n) - 2*k(n). Factor v(c).
-(c + 1)**4
Let p(w) be the first derivative of 4 - 2/9*w**3 + 2/3*w**2 + 0*w - 1/6*w**4. Factor p(h).
-2*h*(h - 1)*(h + 2)/3
Factor 0*w**4 + 11*w**2 + 7*w**3 - 3 - 9*w**4 + 1 - 7*w.
-(w - 1)**2*(w + 1)*(9*w + 2)
Factor 0*a**5 - 295*a**2 - 2*a**4 - 10*a**4 + 283*a**2 + 3*a + 3*a**5 + 18*a**3.
3*a*(a - 1)**4
Factor -3*o - 5*o - 4*o + 4*o**2 + 4*o.
4*o*(o - 2)
Let z be (-16)/(-12) + (-6)/(-9). Suppose -4*v**4 - 3*v**2 + 3*v**4 - z*v**4 + 6*v**3 = 0. Calculate v.
0, 1
Let u(x) = -x**5 - 5*x**4 - 5*x**3 + 3*x**2 + 6*x + 4. Let b(h) = h**3 + h**2 - h. Let j(y) = -6*b(y) + 3*u(y). What is g in j(g) = 0?
-2, -1, 1
Let l(s) = -5 + 4 - 5 + s. Let h be l(6). Find a such that 1/2*a**3 + h + 1/2*a**2 + 0*a = 0.
-1, 0
Suppose 2*i - 5*i = -15. Suppose -t + 4*t - f = 8, 5*f = i*t. Determine w, given that 1/4*w - 1/4*w**t + 1/2*w**2 + 1/4*w**5 - 1/2*w**3 - 1/4 = 0.
-1, 1
Suppose -79 = 2*a - 23. Let s be ((-2)/a)/((-1)/(-12)). Factor s*h + 4/7 + 2/7*h**2.
2*(h + 1)*(h + 2)/7
Let r(a) be the second derivative of -3*a**7/14 + 9*a**6/5 - 12*a**5/5 + 23*a**4/18 - 5*a**3/18 + 49*a. Determine f, given that r(f) = 0.
0, 1/3, 5
Find l such that 4 - 2*l - l**2 + 1/2*l**3 = 0.
-2, 2
Let g(n) be the second derivative of n**5/30 + n**4/9 + n**3/9 + 35*n. Let g(f) = 0. What is f?
-1, 0
Let k(r) = r + 3*r**2 - 1 + 0*r**2 + r. Let b be k(1). Factor c**2 + c**3 - c**b + c**3 - 2*c**3.
-c**2*(c - 1)*(c + 1)
Suppose -1 = 2*a - 5*t - 5, a - t = 2. Let 4*g**3 + 5*g + 0*g + 8*g**a - g = 0. Calculate g.
-1, 0
Let t be 2 + (9 - (-8 + 16)). Determine q, given that 4/5*q**2 + 0*q + 0 - 2/5*q**t = 0.
0, 2
Find y such that -32*y - y**2 - 8*y**2 + 12 + 36*y**2 - 4*y = 0.
2/3
Let p(l) be the third derivative of -l**6/540 + l**5/270 + l**4/108 - l**3/27 + 6*l**2. Factor p(c).
-2*(c - 1)**2*(c + 1)/9
Let g(c) be the third derivative of 1/315*c**7 - 2*c**2 + 1/360*c**6 + 1/1008*c**8 + 0*c**3 + 0 + 0*c**5 + 0*c + 0*c**4. Factor g(h).
h**3*(h + 1)**2/3
Let c be (-8)/4 - 7/(-1). Solve -c*h**2 - 2*h**4 + 7*h**2 + h**5 + 2*h**3 - 3*h**5 = 0.
-1, 0, 1
Let w(f) be the third derivative of f**7/105 + f**6/30 - f**5/30 - f**4/6 - 3*f**2. What is x in w(x) = 0?
-2, -1, 0, 1
Let k(o) be the first derivative of -7*o**3/3 + o**2/2 + 6*o - 3. Let j(f) = 6*f**2 - 6. Let z(q) = 4*j(q) + 3*k(q). Solve z(n) = 0 for n.
-2, 1
Let o(y) be the third derivative of -y**6/420 - 2*y**5/105 - 5*y**4/84 - 2*y**3/21 + 5*y**2. Factor o(x).
-2*(x + 1)**2*(x + 2)/7
Let h(g) be the second derivative of -g**4/12 - 11*g**3/6 - 9*g**2 - 4*g + 7. Factor h(m).
-(m + 2)*(m + 9)
Let 1/4*b**2 - 1/2*b + 1/4 = 0. Calculate b.
1
Let j(k) = 2*k**2 - 8*k + 2. Let u be j(6). Determine a so that 20*a + 4*a**2 + 10*a**2 - u*a - 18 - 2*a**3 - 4*a**2 = 0.
-1, 3
Let o = 25 - 18. Let v(m) 