/7*x**2 + 0 + 1/42*x**4 - 4/21*x**3 + 2*x. Solve b(u) = 0.
2
Let w = 1 + 5. Let u(j) be the second derivative of 1/15*j**w + 4*j + 0*j**4 + 2/3*j**3 - j**2 - 1/5*j**5 + 0. Factor u(p).
2*(p - 1)**3*(p + 1)
Let l(i) = 2*i - i - 1 + 2*i. Let b be l(1). Factor -1 - z - 1/4*z**b.
-(z + 2)**2/4
Let o = 281 - 841/3. Factor -o*x**4 - 2*x**2 + 2*x**3 + 0 + 2/3*x.
-2*x*(x - 1)**3/3
Suppose -5*z + 20 = -0*z. Let n be z/2 - (-3)/3. Solve u**2 + n*u + u**2 + u**2 = 0 for u.
-1, 0
Suppose 10*t = -3*t + 26. Factor 0 + 18*a**t + 33/2*a**3 - 75/2*a**5 - 6*a - 45*a**4.
-3*a*(a + 1)**2*(5*a - 2)**2/2
Let b be ((-32)/28)/(5/(-7)). Let y(r) be the first derivative of r**4 + 1 - 14/15*r**3 + b*r - 4/5*r**2 - 6/25*r**5. Suppose y(j) = 0. Calculate j.
-2/3, 1, 2
Let m(q) be the first derivative of q**3/9 + q**2/3 + q/3 + 8. Suppose m(f) = 0. Calculate f.
-1
Suppose 0 = -2*l + 2 + 2. Let g(m) = -2*m**3 + 2*m + 1. Let n be g(-1). Determine c so that -n + 3 - 4*c + 0*c**2 + 2*c**l = 0.
1
Factor 0 - 3/7*r - 6/7*r**2.
-3*r*(2*r + 1)/7
Suppose 15*p = 16*p - 6. Suppose p = 4*q - 3*j, 8 = -4*q + 9*q - 4*j. Factor 3/2*r**4 - 1/2*r**5 + 0 + q*r + 1/2*r**2 - 3/2*r**3.
-r**2*(r - 1)**3/2
Let q(n) be the third derivative of n**5/270 - n**4/27 + 4*n**3/27 - 5*n**2. Let q(w) = 0. What is w?
2
Factor -52/17*m**3 - 28/17*m**4 - 22/17*m - 48/17*m**2 - 4/17 - 6/17*m**5.
-2*(m + 1)**4*(3*m + 2)/17
Let 1/4*y**3 + 0*y + 1/8*y**5 + 3/8*y**4 + 0*y**2 + 0 = 0. Calculate y.
-2, -1, 0
Let o(t) = -16*t + 2. Let l be o(0). Solve 2/7*b**l + 2/7 + 4/7*b = 0.
-1
Let o(f) be the second derivative of -1/3*f**4 + 1/2*f**2 - 7*f + 1/12*f**3 + 0 + 1/8*f**5. Factor o(s).
(s - 1)**2*(5*s + 2)/2
Let d(s) be the third derivative of -s**7/840 + s**6/360 - s**3 - 4*s**2. Let v(t) be the first derivative of d(t). Solve v(q) = 0.
0, 1
Let p(a) be the third derivative of -7*a**5/40 - 17*a**4/48 - a**3/6 - 10*a**2. Find t, given that p(t) = 0.
-2/3, -1/7
Let n be (1/(-4))/(10/(-120)). Let 1/4*y**4 + 0 + 0*y**2 + 0*y + 1/4*y**n = 0. What is y?
-1, 0
Let b(q) be the first derivative of -q**6/15 - q**5/5 - q**4/6 + 3*q - 1. Let h(t) be the first derivative of b(t). Factor h(g).
-2*g**2*(g + 1)**2
Find n, given that -4/5*n**3 + 2/5*n**5 + 2/5*n + 0*n**4 + 0 + 0*n**2 = 0.
-1, 0, 1
Suppose 6*r - r = 0. Let l(d) be the third derivative of -d**2 + 1/42*d**4 + 0*d**3 + r + 1/42*d**5 + 0*d. Factor l(a).
2*a*(5*a + 2)/7
Let j = -16 - -19. Solve 6*y - 11*y**j + 3*y**2 - y**3 - 33*y**3 = 0 for y.
-1/3, 0, 2/5
Let w = 30/29 - 152/203. Suppose w*p**2 + 0 - 2/7*p**3 + 2/7*p - 2/7*p**4 = 0. What is p?
-1, 0, 1
Factor -5/2*q**4 + 0*q**3 - 20*q + 15/2 + 15*q**2.
-5*(q - 1)**3*(q + 3)/2
Let k(v) be the second derivative of v**6/210 + v**5/35 + v**4/28 - 2*v**3/21 - 2*v**2/7 + 9*v. Find o, given that k(o) = 0.
-2, -1, 1
Let r = -4577/5 - -917. Determine p, given that -r*p + 2/5 + 2/5*p**4 - 8/5*p**3 + 12/5*p**2 = 0.
1
Let x(o) be the second derivative of -2*o**6/105 - o**5/5 - 6*o**4/7 - 40*o**3/21 - 16*o**2/7 + 24*o. Suppose x(m) = 0. Calculate m.
-2, -1
Let d(p) = p**2 + 3*p - 9. Let o be d(-6). Let y be (-9)/2*(-4)/o. Factor q**4 + 0*q + 0 + 3/2*q**3 + 1/2*q**y.
q**2*(q + 1)*(2*q + 1)/2
Factor -2/3 - 4/9*r + 2/9*r**2.
2*(r - 3)*(r + 1)/9
Let d(n) = n**3 + n - 2. Let m be d(2). Let q be (-6)/m + (-132)/(-48). Suppose 4/3*j**3 + 8/3*j**2 - q*j**4 - 2/3 + 0*j - 4/3*j**5 = 0. What is j?
-1, 1/2, 1
Factor 3/2*z**2 - 1 - 5/2*z.
(z - 2)*(3*z + 1)/2
Let t(x) = x**3 + 15*x**2 - 21*x + 8. Let v(s) = -3*s**3 - 31*s**2 + 43*s - 16. Let y(k) = -14*t(k) - 6*v(k). Factor y(l).
4*(l - 4)*(l - 1)**2
Let k(r) = -4*r**4 - 2*r**3 - r**2. Let g(b) be the first derivative of -7*b**5/5 - b**4 - 2*b**3/3 - 9. Let d(i) = -3*g(i) + 5*k(i). Solve d(z) = 0.
-1, 0
Let n be (-219)/(-180)*8 + -8. Factor -18/5*h**2 - 4/15 - n*h - 14/15*h**4 - 46/15*h**3.
-2*(h + 1)**3*(7*h + 2)/15
Let y(b) be the second derivative of 3*b**5/20 - 3*b**3/2 + 3*b**2 - 16*b. Solve y(k) = 0 for k.
-2, 1
Let i(c) be the first derivative of -2*c**7/105 + 2*c**6/75 + 2*c**5/25 - 3*c + 6. Let u(s) be the first derivative of i(s). What is k in u(k) = 0?
-1, 0, 2
Let h(u) be the first derivative of 3/2*u**2 - 6 + 0*u - 2/3*u**3 - 1/4*u**4. Factor h(o).
-o*(o - 1)*(o + 3)
Let m(g) be the first derivative of -1/120*g**6 - 3 + 1/3*g**3 + 1/2*g**2 + 0*g + 1/24*g**4 - 1/30*g**5. Let i(y) be the second derivative of m(y). Factor i(s).
-(s - 1)*(s + 1)*(s + 2)
Let -3*v**3 - 2*v - 20*v**4 + 4*v**5 + 18*v**4 - 2*v - 3*v**5 + 8*v**2 = 0. Calculate v.
-2, 0, 1, 2
Let n(d) be the second derivative of -d**7/21 - d**6/5 + d**5/10 + d**4/2 - 20*d. Suppose n(m) = 0. Calculate m.
-3, -1, 0, 1
Let u = -8 - -11. Let -18*g**2 + 23*g**3 + 3*g**3 + 3*g + u*g**3 - 2*g**3 = 0. Calculate g.
0, 1/3
Let s(n) = -6*n**2 - 4*n - 3. Let c(t) = -t**2. Let r(b) = -5*c(b) + s(b). Let r(l) = 0. What is l?
-3, -1
Let k(c) be the third derivative of c**8/784 - 2*c**7/245 + 3*c**6/140 - c**5/35 + c**4/56 - 8*c**2. Determine f, given that k(f) = 0.
0, 1
Let r(i) be the second derivative of i**4/12 + i**3 + 9*i**2/2 + i. Solve r(l) = 0.
-3
Let i be ((-16)/4)/(1/((-3)/33)). Factor -2/11*u**3 + i*u**2 + 0*u + 0 - 2/11*u**4.
-2*u**2*(u - 1)*(u + 2)/11
Suppose 8 - 8 = 24*p. Find h such that 4/3*h**2 + 2/3*h**3 + 2/3*h + p = 0.
-1, 0
Let t be (-48)/(-9) + -10*5/10. Let 1/3*m**5 - 2/3*m**3 + t*m + 0*m**4 + 0 + 0*m**2 = 0. What is m?
-1, 0, 1
Let g(c) be the second derivative of -3*c**5/5 + 8*c**4/3 - 14*c**3/3 + 4*c**2 - 12*c. Factor g(u).
-4*(u - 1)**2*(3*u - 2)
Suppose -5*w = -5*s - 5, 3*w - 2 - 5 = -s. Suppose 0 = -h - s + 3. Find f, given that -2/5*f**3 - 8/5*f**2 - 4/5 - h*f = 0.
-2, -1
Let a(p) = p**5 - p**3 - p**2 - p - 1. Let b(w) = -3*w**5 - 10*w**4 - 7*w**3 - 2*w**2 - 2*w - 2. Let k(z) = 2*a(z) - b(z). Factor k(n).
5*n**3*(n + 1)**2
Let r(m) be the third derivative of -m**7/210 + m**6/60 - m**5/60 + 26*m**2. What is q in r(q) = 0?
0, 1
Let h(j) = -4*j + 94. Let v be h(23). Factor -24/7*u**4 + 0*u - 6/7*u**3 - 2*u**5 + 0 + 4/7*u**v.
-2*u**2*(u + 1)**2*(7*u - 2)/7
Let y(r) be the first derivative of r**6/9 - 2*r**5/15 - r**4/6 + 2*r**3/9 + 21. Factor y(p).
2*p**2*(p - 1)**2*(p + 1)/3
Suppose 0 = -i - 3*i - 2*h + 8, i - 13 = 5*h. Let v(r) be the first derivative of 1/3*r**i + r + 2 - r**2. Let v(j) = 0. What is j?
1
Let c be (-2 + (-129)/(-63))/(7/42). Solve -6/7*u**4 - 4/7*u + 0 + 2/7*u**3 + 6/7*u**2 + c*u**5 = 0 for u.
-1, 0, 1, 2
Suppose -9*s = -8*s + h - 10, 5 = h. What is m in 0*m**2 - 2/3*m**s + 0 + 2/3*m**4 + 0*m**3 + 0*m = 0?
0, 1
Let k(w) be the second derivative of 1/10*w**2 - w - 1/15*w**4 + 0 + 0*w**3. Let k(a) = 0. Calculate a.
-1/2, 1/2
Suppose 5*n = -3*p + 12, -3*n + 0*p = -4*p - 13. Factor 2/3 - 4/3*f**n + f + 1/3*f**5 - 2/3*f**2 + 0*f**4.
(f - 2)*(f - 1)*(f + 1)**3/3
Suppose 4/5*g**2 + 4/5*g**4 + 0 - 8/5*g**3 + 0*g = 0. Calculate g.
0, 1
Let a(w) = -w**3 - w**2 + 1. Let j(p) be the second derivative of -3*p**5/5 - p**4/2 + p**3/3 + 3*p**2 + p. Let g(r) = 10*a(r) - j(r). What is y in g(y) = 0?
-1, 1, 2
Suppose -4*y + 5*r + 7 + 15 = 0, 4*y - 4 = -4*r. Let o be 3 + 1 + (-11)/y. Factor 1/3*n + 1/3*n**2 - o*n**3 - 1/3*n**4 + 0.
-n*(n - 1)*(n + 1)**2/3
Suppose 43*w - 110 + 24 = 0. Let 0*x**3 - 1/3*x**4 - 1/6*x**5 + 0 + 0*x + 0*x**w = 0. Calculate x.
-2, 0
Factor 6/13 - 8/13*x + 2/13*x**2.
2*(x - 3)*(x - 1)/13
Let r be (-6)/10 + (-204)/(-40) + -4. Factor -r*y**2 + y + 0.
-y*(y - 2)/2
Let s(j) be the first derivative of j**6/6 + 3*j**5/5 + j**4/4 - j**3 - j**2 - 27. Factor s(y).
y*(y - 1)*(y + 1)**2*(y + 2)
Let a be (-14)/(-12) + (-48)/72. Factor -1/4 + a*r - 1/4*r**2.
-(r - 1)**2/4
Let f(z) be the first derivative of -2*z**5/25 + z**4/5 + 2*z**3/15 - 2*z**2/5 - 14. Factor f(n).
-2*n*(n - 2)*(n - 1)*(n + 1)/5
Find o, given that 4 + 0*o**2 + o**2 - 9*o + 2*o**2 + 2 = 0.
1, 2
Let j(p) be the first derivative of -p**5/20 + p**4/4 + p**3/12 - p**2/2 + 43. Let j(o) = 0. Calculate o.
-1, 0, 1, 4
Let n(x) be the second derivative of x**4/4 + x**3/2 - 3*x**2 - 6*x. Factor n(w).
3*(w - 1)*(w + 2)
Suppose 0*i**4 + 0 + 0*i + 0*i**2 + 2/3*i**5 - 2/3*i**3 = 0. What is i?
-1, 0, 1
Let a be (11/(-165))/((-4)/(-80)*-2). Factor 2/3*g**2 - a + 2/3*g**3 - 2/3*g.
2*(g - 1)*(g + 1)**2/3
Let i(y) be the third derivative of y**5/60 - 8