 0*o**3 + 0 - 1/56*o**4 - 5*o**2 - 1/420*o**5. Factor t(i).
-i*(i + 3)/7
Let d(a) be the third derivative of -a**6/1080 + a**5/180 - a**4/72 + a**3/6 + 3*a**2. Let m(u) be the first derivative of d(u). Factor m(h).
-(h - 1)**2/3
Let h = 3083/79 + -39. Let x = 69/395 + h. Find z such that 0 - 1/5*z**2 - 1/5*z**3 + 1/5*z + x*z**4 = 0.
-1, 0, 1
Let h(j) be the third derivative of -j**6/420 - j**5/210 + j**4/84 + j**3/21 + 5*j**2. What is a in h(a) = 0?
-1, 1
Let w(b) be the first derivative of b**4 + 8*b**3/3 + 2*b**2 - 20. Factor w(n).
4*n*(n + 1)**2
Let v = 37 - 35. Let z(x) be the second derivative of 0*x**v + 1/105*x**6 - 2/21*x**3 - 1/14*x**4 - x + 0*x**5 + 0. Find j such that z(j) = 0.
-1, 0, 2
Let s(o) be the third derivative of -o**6/120 + o**5/60 + o**4/24 - o**3/6 + o**2. Factor s(g).
-(g - 1)**2*(g + 1)
Suppose -f - 44 = 4*x - 2*x, -72 = 3*x + 3*f. Let c = x + 20. Factor 0*v + c*v**2 + 0 + 1/3*v**3.
v**3/3
Let r = -147 + 150. Factor -10/11*x**2 + 6/11*x**r + 0 + 2/11*x**4 + 4/11*x - 2/11*x**5.
-2*x*(x - 1)**3*(x + 2)/11
Suppose -m = -0 - 2. Let p(t) be the first derivative of -2/15*t**3 - 1 + 0*t + 0*t**m + 1/10*t**4. Factor p(r).
2*r**2*(r - 1)/5
Let s(f) = -19*f**2 - 23*f + 1. Let g(t) = -58*t**2 - 70*t + 4. Let y(j) = -j**3 + 6*j**2 + 8*j - 2. Let b be y(7). Let c(l) = b*g(l) - 16*s(l). Factor c(q).
2*(q + 1)*(7*q + 2)
Let p(w) be the third derivative of 7*w**5/48 - 25*w**4/96 - 5*w**3/12 + 35*w**2. Find m such that p(m) = 0.
-2/7, 1
Factor -15*p**3 + p**4 + 42*p**3 + 3*p + 11*p**4 + 18*p**2.
3*p*(p + 1)**2*(4*p + 1)
Let r(k) be the first derivative of k**3 - k**2 + k + 3. Let t be r(1). Suppose -4*f + t*f + 2*f - 2 + 2*f**2 = 0. Calculate f.
-1, 1
Let b = -22 - -24. Factor 1/2*r**b + 0 - 1/2*r.
r*(r - 1)/2
Let h(f) = -8*f + 2. Let a be h(-1). Let -7*q**3 + 2*q**2 - a*q**3 + 19*q**3 = 0. Calculate q.
-1, 0
Let f(m) be the first derivative of -2/11*m**3 - 1/22*m**4 + 6/11*m - 1 + 1/11*m**2. Suppose f(s) = 0. Calculate s.
-3, -1, 1
Factor q**4 + 2*q**5 + 5*q**4 - 4*q**4.
2*q**4*(q + 1)
Let s(t) = -8*t**3 + 9*t**2 + 15*t - 16. Let x(z) = -z**3 + 1. Let v(j) = -4*s(j) + 36*x(j). Factor v(r).
-4*(r - 1)*(r + 5)**2
Let b(t) be the first derivative of t**4/20 - 4*t**3/15 - t**2/10 + 4*t/5 - 3. Factor b(q).
(q - 4)*(q - 1)*(q + 1)/5
Suppose 3*i + t - 11 = 0, 5*i + 10 - 40 = -4*t. Suppose -6 = -4*n + i*y, -2*n - 2*y = n - 8. Suppose 2*r - 3*r**2 + r**n + 8 - 4 = 0. What is r?
-1, 2
Let o(t) be the second derivative of -t**4/36 - t**3/18 + 9*t. Determine p so that o(p) = 0.
-1, 0
Let p be (-1 - 0) + (-2)/(-2). Suppose 2*u - 3*y = p, 0 = -3*u + 7*u + y - 14. Factor -8*s**5 + 2*s**3 + s**u + 3*s**4 + s**2 + 9*s**5.
s**2*(s + 1)**3
Let z be (-42)/(-126)*(-1)/(1 - 2). Factor -2/3*h**3 + 0 + 1/3*h**4 + z*h**2 + 0*h.
h**2*(h - 1)**2/3
Factor -5/2 + 1/2*n**2 - 2*n.
(n - 5)*(n + 1)/2
Let t be 2 - 1 - (-16)/(4/1). Factor 0*i**2 + 0 + 0*i**4 - 1/4*i**t + 0*i + 1/4*i**3.
-i**3*(i - 1)*(i + 1)/4
Let i(h) = 2*h**2 - h - 1. Let c be i(-1). Let w(n) be the second derivative of 1/18*n**3 - 1/3*n**c - n + 0 + 1/36*n**4. Factor w(v).
(v - 1)*(v + 2)/3
Let b(o) = -2*o**2 + 2*o + 2. Let q be b(3). Let j be (12/q)/((-3)/10). Solve -j - 3*w**2 + 3*w**2 + 10*w**2 + 6*w = 0.
-1, 2/5
Let h(x) = -x**2 - 8*x - 2. Let l be h(-7). Suppose l*o - 28 + 8 = 0. Let 16*u**5 - 2*u**4 - 7*u**3 - u**2 - u**4 - 5*u**o = 0. Calculate u.
-1/4, 0, 1
Let t(f) be the second derivative of -3/40*f**5 + 0 + 1/12*f**4 + 0*f**2 + 1/3*f**3 + f + 7/360*f**6. Let r(x) be the second derivative of t(x). Factor r(k).
(k - 1)*(7*k - 2)
Factor 0 + 25/2*v**2 - 5*v**3 + 0*v + 1/2*v**4.
v**2*(v - 5)**2/2
Let l(d) be the first derivative of -d**5/15 + 7*d**4/12 - 2*d**3 + 10*d**2/3 - 8*d/3 + 2. Find w such that l(w) = 0.
1, 2
Let c(v) be the second derivative of -v**5/150 - v**4/30 - v**3/15 - 3*v**2/2 - 3*v. Let l(j) be the first derivative of c(j). Find q, given that l(q) = 0.
-1
Let m(d) be the second derivative of d**7/18 - 2*d**6/15 + d**5/20 + d**4/18 + 10*d. Factor m(f).
f**2*(f - 1)**2*(7*f + 2)/3
Let v(k) be the third derivative of k**7/13860 + k**6/1980 - k**4/12 - 2*k**2. Let q(g) be the second derivative of v(g). What is j in q(j) = 0?
-2, 0
Let x(y) = -16*y + 6. Let h be x(-2). Let q = h - 34. Suppose 0 + 0*u**3 - 2/9*u**q + 0*u - 2/9*u**5 + 0*u**2 = 0. What is u?
-1, 0
Let c(v) be the second derivative of v**6/5 - 21*v**5/20 + 9*v**4/4 - 5*v**3/2 + 3*v**2/2 - 15*v. Factor c(l).
3*(l - 1)**3*(2*l - 1)
Let z(m) be the first derivative of m**3/4 - 9*m**2/8 - 10. Factor z(v).
3*v*(v - 3)/4
Let g(h) = 8*h**2. Let o be g(1). Suppose -4*v = -4*t - 16, o = -t - 3*t. Let 3*r**3 - 2*r**2 + 2*r - v + 4*r**2 - 5*r**3 = 0. What is r?
-1, 1
Let g be (-4)/16 + (-1)/(-4). Suppose -4*c + 2 = -3*t + 20, c + 3 = g. Factor 2*p**2 - 3*p**t + p**3 + 0*p**3.
p**2*(p - 1)
Factor 24*l**2 + l**3 - 2*l**3 + 5*l**3.
4*l**2*(l + 6)
Let u(s) = s + 1. Let h be u(-8). Let f(i) = -i - 5. Let r be f(h). Factor 2/5*c**3 + 2/5 - 2/5*c**r - 2/5*c.
2*(c - 1)**2*(c + 1)/5
Determine k so that 0*k - 2/5*k**3 + 4/5*k**2 + 0 = 0.
0, 2
Let o = -18 - -55/3. Let v(m) be the second derivative of 0*m**2 + o*m**3 + 0 + 1/3*m**4 - 3*m. Factor v(a).
2*a*(2*a + 1)
Let z(h) be the second derivative of -h**4/36 - h**3/6 - h**2/3 - 9*h. Factor z(r).
-(r + 1)*(r + 2)/3
Let d(z) = z**2 - z + 2. Let u be d(0). Determine r so that 4/3*r - 2/3*r**u + 0 = 0.
0, 2
Factor 2/13*d**3 + 6/13*d + 10/13*d**2 - 18/13.
2*(d - 1)*(d + 3)**2/13
Suppose 5*u - 4*u**2 - 2*u**2 - 34 - 2*u - 3*u**3 + 40 = 0. Calculate u.
-2, -1, 1
Let b(p) be the first derivative of -p**4/66 - 2*p**3/11 - 9*p**2/11 - 7*p + 1. Let k(t) be the first derivative of b(t). What is d in k(d) = 0?
-3
Let b(j) be the first derivative of -5/3*j**3 - 7/2*j**2 - 2*j - 1. Suppose b(l) = 0. What is l?
-1, -2/5
Let r(f) be the third derivative of -f**5/330 + f**3/33 - f**2. Factor r(o).
-2*(o - 1)*(o + 1)/11
Factor -1/11*k + 2/11*k**2 + 1/11*k**3 - 2/11.
(k - 1)*(k + 1)*(k + 2)/11
Let r(h) be the second derivative of -7*h**7/24 - 77*h**6/120 - 2*h**5/5 - h**4/12 - 6*h. Find y, given that r(y) = 0.
-1, -2/7, 0
Let l(b) = -11*b**2 - 21*b. Let t(o) = 4*o**2 + 7*o. Let s(m) = 3*l(m) + 8*t(m). Solve s(d) = 0.
-7, 0
Let w be (-52)/(-48) + (-3)/4. Factor 0 + 1/3*q**2 + q**4 + 0*q + q**3 + w*q**5.
q**2*(q + 1)**3/3
Let i(g) be the first derivative of -g**6/8 + 6*g**5/5 - 33*g**4/8 + 6*g**3 - 27*g**2/8 - 7. Suppose i(o) = 0. What is o?
0, 1, 3
Let f = -47/2 - -24. Let -2 - 25/2*y**5 - 8*y + 41/2*y**3 - f*y**2 + 5/2*y**4 = 0. What is y?
-1, -2/5, 1
Let j(t) = -5*t - 39. Let c be j(-9). Let g(a) be the first derivative of 1/8*a**c + 3*a + 1 + 6*a**2 + 21/20*a**5 + 25/4*a**3 + 57/16*a**4. Factor g(h).
3*(h + 1)**3*(h + 2)**2/4
Let s(l) be the second derivative of -3*l - 1/6*l**4 + 1/6*l**3 + 0 - 1/60*l**5 + 1/30*l**6 + l**2. Let n(m) be the first derivative of s(m). Factor n(r).
(r - 1)*(r + 1)*(4*r - 1)
Let l = 14 - 7. Factor -2*r - 2*r**3 - 5*r - 4 + 3*r + l*r**2.
-(r - 2)**2*(2*r + 1)
Let r(k) be the third derivative of 0 + 3*k**2 + 1/360*k**6 - 1/24*k**4 + 0*k + 0*k**5 + 1/2*k**3. Let a(o) be the first derivative of r(o). Factor a(v).
(v - 1)*(v + 1)
Let a(c) be the third derivative of c**5/30 + c**4/6 + c**3/3 - 8*c**2. Factor a(s).
2*(s + 1)**2
Let s(o) = o**3 + 5*o**2 + 2*o - 3. Let i be s(-4). Let b(y) be the first derivative of 1/4*y**3 + 0*y - 3/16*y**4 + 1/20*y**i + 1 - 1/8*y**2. Factor b(a).
a*(a - 1)**3/4
Let r(g) be the third derivative of -2*g**7/105 + g**5/15 + 6*g**2 + 2. Suppose r(b) = 0. What is b?
-1, 0, 1
Factor -4/23 - 8/23*a**2 + 10/23*a + 2/23*a**3.
2*(a - 2)*(a - 1)**2/23
Solve -9*q + 18*q**2 + 5 - 3 + 14*q + 7*q = 0.
-1/3
Suppose -5 = -3*n + 1. What is y in 3*y**n + y**2 - 6*y**2 + y + y**3 = 0?
0, 1
Solve -1/4*w**5 - 5/4*w**4 + 5/2*w**2 + 1/2*w**3 - 5/4 - 1/4*w = 0.
-5, -1, 1
Let q be 17/((-952)/(-16)) + 18/35. What is j in 4/5*j**4 - q*j**2 + 0*j + 0 + 0*j**3 = 0?
-1, 0, 1
Let d(i) be the second derivative of i**8/10080 - i**6/1080 + i**4/3 + 3*i. Let b(t) be the third derivative of d(t). Find j, given that b(j) = 0.
-1, 0, 1
Let m(t) be the third derivative of t**6/60 + t**5/15 + t**4/12 + 6*t**2. Factor m(s).
2*s*(s + 1)**2
Let l(x) be the third derivative of x**5/15 + x**