 -5. Factor 0 + 0*s**x + 3/7*s**4 + 0*s**3 - 6/7*s**5 + 0*s.
-3*s**4*(2*s - 1)/7
Let j(o) be the first derivative of 4/9*o**3 + 49/90*o**5 + 7/9*o**4 + 0*o + 3 - o**2. Let f(u) be the second derivative of j(u). Factor f(p).
2*(7*p + 2)**2/3
Let i(u) be the first derivative of -u**3/3 - 5*u**2 - 25*u + 6. Find t such that i(t) = 0.
-5
Let x(v) be the third derivative of v**9/45360 - v**7/7560 - v**4/12 + 2*v**2. Let m(n) be the second derivative of x(n). What is o in m(o) = 0?
-1, 0, 1
Let k = 0 - 70. Let o be (21/k)/(12/(-10)). Suppose 1/4 - o*i - 1/2*i**2 = 0. What is i?
-1, 1/2
Let w(p) be the first derivative of p**4/5 + 2*p**3/15 - 2*p**2/5 - 2*p/5 + 8. Solve w(q) = 0.
-1, -1/2, 1
Let r(m) = -m - 7. Let h be r(-12). Let x(n) be the first derivative of 0*n - 1/5*n**h + 0*n**2 + 1 - 1/2*n**4 - 1/3*n**3. Factor x(t).
-t**2*(t + 1)**2
Let z(r) be the third derivative of -r**9/90720 - r**8/30240 + 3*r**5/20 - 9*r**2. Let u(q) be the third derivative of z(q). Factor u(y).
-2*y**2*(y + 1)/3
Let d(a) be the second derivative of -2*a**6/45 + a**5/20 + a**4/4 + a**3/9 - a. Factor d(t).
-t*(t - 2)*(t + 1)*(4*t + 1)/3
Let d be (5/10)/(2/(-16)). Let m(f) = -f**2 + f + 1. Let t(n) = n**2 - 3 - n + 0 + 6*n**2 + n**3. Let c(b) = d*m(b) - t(b). Determine r, given that c(r) = 0.
-1
Let x = 641/2 + -353. Let n = x + 33. Find l, given that 0*l - 1/2*l**4 + 1/2*l**2 + 0 - n*l**3 + 1/2*l**5 = 0.
-1, 0, 1
Suppose -3*z + 5 = 4*x - 6*x, -5*z + 15 = 0. Let -3*b - 3*b**2 - 3*b**3 + 7*b**2 + x*b**2 = 0. What is b?
0, 1
Let j(g) be the first derivative of 3*g**6/8 - 3*g**5/20 - 27*g**4/16 + 9*g**3/4 - 3*g**2/4 - 8. What is m in j(m) = 0?
-2, 0, 1/3, 1
Let k = -1/15 - -11/15. Let b(t) = t**2 + 12*t. Let h be b(-12). Let 0 + k*f**2 + h*f = 0. What is f?
0
Let c(w) be the second derivative of -3/2*w**3 - 17/2*w**2 - 2*w + 0 - 1/4*w**4. Let m(h) = h**2 + 3*h + 6. Let n(g) = 4*c(g) + 11*m(g). Factor n(y).
-(y + 1)*(y + 2)
Let v be 1/(-3) + 205/600. Let d(u) be the third derivative of v*u**5 + 0 - 1/24*u**4 + 0*u + 1/12*u**3 - u**2. Factor d(j).
(j - 1)**2/2
What is w in 2/19*w**3 + 0 + 0*w**2 + 0*w + 2/19*w**4 = 0?
-1, 0
Let n(s) = 2*s - 2. Let r be n(2). Factor 1/2*j + 1/4*j**r + 1/4.
(j + 1)**2/4
Let w = 59 + -32. What is o in 36*o - 1 + 7 - 8*o + 5*o + w*o**2 = 0?
-1, -2/9
Let z(r) = r + 7. Suppose -3*t + 0*t = 21. Let p be z(t). Factor 0*q + 1/2*q**2 + p - 1/4*q**4 - 1/4*q**3.
-q**2*(q - 1)*(q + 2)/4
Let p(v) = v**4 - 4*v**3 + v**2 + 6. Let n(g) = -g**4 + 3*g**3 + g - 5. Let z(s) = -6*n(s) - 5*p(s). Solve z(o) = 0 for o.
-3, -1, 0, 2
Let z(g) = g**4 - 4*g**3 - g**2. Let q(m) = -3*m**4 + 13*m**3 + 4*m**2. Let c be (-1)/(-3) + (-22)/3. Let p(o) = c*z(o) - 2*q(o). Let p(j) = 0. Calculate j.
0, 1
Determine c so that -3*c**4 + 12*c**3 + 4*c - 12*c**2 + 0*c**4 - c**4 = 0.
0, 1
Let i be (-2)/3*(-3)/20. Let a(f) be the second derivative of -2/15*f**6 + i*f**5 + 0*f**2 + f + 0*f**4 + 1/21*f**7 + 0 + 0*f**3. Factor a(c).
2*c**3*(c - 1)**2
Let r(k) = -k**3 + k. Let b(m) = 6*m**3 - 5*m**2 - 4*m + 3. Let x(f) = -3*b(f) - 24*r(f). Let x(t) = 0. What is t?
-3, -1/2, 1
Let b(a) be the first derivative of -a**6/120 + a**5/15 - 5*a**4/24 + a**3/3 - 3*a**2 - 3. Let c(l) be the second derivative of b(l). Factor c(o).
-(o - 2)*(o - 1)**2
Let m be ((-40)/(-50))/((-2)/(-15)) + -3. Let o(c) be the second derivative of 3*c**4 + 0 - 8/3*c**m - 4*c**2 - c**5 - 3*c + 7/60*c**6. Solve o(u) = 0 for u.
-2/7, 2
Let o(g) be the second derivative of -g**7/14 - 7*g**6/10 - 27*g**5/10 - 11*g**4/2 - 13*g**3/2 - 9*g**2/2 + 2*g. Factor o(n).
-3*(n + 1)**4*(n + 3)
Let j(f) be the first derivative of 0*f + 2 - 1/3*f**6 + f**4 - f**2 + 0*f**5 + 0*f**3. Factor j(t).
-2*t*(t - 1)**2*(t + 1)**2
Let s be -5*((-13)/5 + 2). Solve 6*v**2 + 0*v**3 + 1 + 8*v - 36*v**3 - s = 0.
-1/2, 1/3
Let q(u) be the first derivative of 2*u**3/3 + 3*u**2 + 4*u + 3. Factor q(r).
2*(r + 1)*(r + 2)
Let q(a) = -a**2 - 24*a + 27. Let b be q(-25). What is w in -6/7*w**b - 2/7*w + 0 = 0?
-1/3, 0
Let j(g) = -2*g**2 + 2*g - 4. Let s(n) = n. Let u(d) = -j(d) - 4*s(d). Solve u(f) = 0 for f.
1, 2
Let u be (-2)/(-8) - 22/(-8). Solve 6*i**2 + 3*i**3 + i - 20*i**4 - u*i**2 + 21*i**4 = 0.
-1, 0
Let m(l) = -l**3 - 11*l**2 - 13*l - 29. Let a be m(-10). Let n(x) be the first derivative of -2/33*x**3 - 2/11*x - 2/11*x**2 + a. Solve n(y) = 0 for y.
-1
Let o be (-4)/12 - (-26)/6. Factor -3*w**5 + 18*w - 18*w - 3*w**o.
-3*w**4*(w + 1)
Let c(y) be the second derivative of y**5/60 - 5*y**4/12 + 25*y**3/6 - 125*y**2/6 + 7*y. Find n, given that c(n) = 0.
5
Let y(h) be the second derivative of 0*h**2 + 1/165*h**6 - 1/231*h**7 - 1/66*h**4 + 1/110*h**5 + 0*h**3 - 8*h + 0. Find s, given that y(s) = 0.
-1, 0, 1
Let h(a) be the third derivative of -1/40*a**5 - 5*a**2 - 1/80*a**6 + 0*a**3 + 0*a + 0*a**4 + 0. Find i, given that h(i) = 0.
-1, 0
Let q(h) be the second derivative of h**4/12 - 2*h**2 + h. Let u(k) = k**2 - 3. Let l = -1 + 3. Let f(j) = l*q(j) - 3*u(j). Determine c, given that f(c) = 0.
-1, 1
Let b(m) be the first derivative of -m**6/6 - 4*m**5/5 - 3*m**4/2 - 4*m**3/3 - m**2/2 + 47. Factor b(i).
-i*(i + 1)**4
Let m(k) = -k**3 - 8*k**2 + 8*k - 9. Let h be m(-9). Factor -4/7*t**4 + 0 + 2/7*t**5 + 2/7*t**3 + 0*t + h*t**2.
2*t**3*(t - 1)**2/7
Let u(s) = -s + 6. Let n be u(7). Let l be -2*(n - 15/(-18)). Factor -l*f**3 + 0 + 1/3*f**2 - 1/3*f**4 + 1/3*f.
-f*(f - 1)*(f + 1)**2/3
Suppose -x = 2*g, 5 = 4*g + x + 1. Solve 2*s - 7*s + 18*s**g - 16*s - 6*s**2 - 6 = 0.
-1/4, 2
Let i = -6 - -10. Suppose -i*r + 2*r + 6 = 0. Factor 0*p - 4/3*p**2 + 0 - 14/3*p**r.
-2*p**2*(7*p + 2)/3
Factor o**5 - 3*o**4 - 9*o**3 - o**2 + 4*o**4 + 2*o + 6*o**3.
o*(o - 1)**2*(o + 1)*(o + 2)
Solve 8 - 22*r - 2*r + 4*r**2 + 42*r**3 - 30*r**2 = 0.
-2/3, 2/7, 1
Factor 2*v**3 - 2*v**4 + 6*v**2 - 2*v**2 + 0*v**2.
-2*v**2*(v - 2)*(v + 1)
Let c(x) = -x - 11. Let i be c(-13). Find y such that -2*y**3 - y**3 + 0*y**2 + 0*y**i + 3*y = 0.
-1, 0, 1
Let k(o) = o**3 + o**2 + 1. Let v(i) = -i**2 - i + 1. Let c be v(0). Let f(s) = 2*s**4 - 7*s**3 - 3*s**2 + 4*s - 5. Let q(w) = c*f(w) + 3*k(w). Factor q(n).
2*(n - 1)**3*(n + 1)
Let n = 1145 + -1143. Find r, given that 4/5*r - 2/5*r**n - 2/5 = 0.
1
Let z be 2/6 + 10/(-30). Let m(o) be the first derivative of 1/4*o**2 + 9/16*o**4 - 7/12*o**3 - 1/4*o**5 + z*o - 1 + 1/24*o**6. Factor m(p).
p*(p - 2)*(p - 1)**3/4
Suppose -15*v + 150 - 90 = 0. Find g, given that -1/6*g**2 + 1/2*g**v + 7/6*g - 1/3 - 7/6*g**3 = 0.
-1, 1/3, 1, 2
Let h(d) = 4*d**2 - 19*d - 33. Let g(w) = 2*w**2 - 10*w - 16. Let q(z) = -5*g(z) + 2*h(z). Let q(x) = 0. Calculate x.
-1, 7
Let j(n) be the second derivative of -5*n**4/12 + n**3 + 3*n**2/2 - n. Let x(b) = -b**2 + b. Let l(c) = j(c) - 4*x(c). Solve l(h) = 0 for h.
-1, 3
Let d(p) be the second derivative of 2*p + 0 + 1/2*p**2 - 1/2*p**5 + 1/10*p**6 - p**3 + p**4. Factor d(h).
(h - 1)**3*(3*h - 1)
Let h(u) be the first derivative of -u**5/45 - u**4/12 - u**3/27 + u**2/6 + 2*u/9 + 10. Factor h(r).
-(r - 1)*(r + 1)**2*(r + 2)/9
Let q(x) be the second derivative of -x**4/114 - 2*x**3/57 - x**2/19 - 12*x. Find f, given that q(f) = 0.
-1
Let z(o) be the second derivative of o**5/120 - o**4/36 + o**3/36 + 7*o. Factor z(l).
l*(l - 1)**2/6
Let 2/7*v**2 - 6/7*v**3 - 2/7*v**5 + 0 + 0*v + 6/7*v**4 = 0. Calculate v.
0, 1
Let c(o) be the second derivative of -o**5/150 + o**4/18 - 8*o**3/45 + 4*o**2/15 + 4*o. Determine i so that c(i) = 0.
1, 2
Let a(k) be the third derivative of -k**6/150 - 2*k**5/75 + 13*k**2. Factor a(u).
-4*u**2*(u + 2)/5
Let z be (3 - (-2 - -6)) + (-7)/(-6). Solve 0 - 1/6*y**2 + 0*y + z*y**4 - 1/6*y**3 + 1/6*y**5 = 0.
-1, 0, 1
Let r be ((-4)/(-8))/(2/16). Solve n + 3*n**4 - n**2 - n**r - n**5 - n**2 = 0.
-1, 0, 1
Let t(j) = -4*j**2 + 14*j + 32. Let h(g) = -g**2 - g. Let d(a) = -6*h(a) + t(a). Factor d(m).
2*(m + 2)*(m + 8)
Let g = -3/151 - -625/1057. Factor 0*k + 2/7*k**3 - g*k**2 + 0.
2*k**2*(k - 2)/7
Factor -6 + 27/4*i - 3/4*i**2.
-3*(i - 8)*(i - 1)/4
Let q(f) = -f**2 - f - 1. Let k(j) = -14*j**2 - 10*j - 12. Let x(h) = -k(h) + 12*q(h). Suppose x(r) = 0. What is r?
0, 1
Let g be 1*3/(-9) + 10/6. What is f in 2*f**3 + 0 + g*f**4 + 0*f**2 - 2/3*f = 0?
-1, 0, 1/2
Let z = -4 - 10. Let n be 4/16 + z/(-8). Determine l, given that 2*l + 