t y(w) = -5*d(w) + 2*o(w). Factor y(t).
5*t**2*(t - 1)**2*(t + 1)
Let h(f) be the third derivative of -f**8/36960 - f**7/6930 - f**6/3960 + f**4/8 - f**2. Let j(t) be the second derivative of h(t). Factor j(b).
-2*b*(b + 1)**2/11
Let m(g) be the first derivative of g**6/60 + g**5/40 - g**4/24 - g**3/12 - 8*g - 1. Let f(c) be the first derivative of m(c). Factor f(n).
n*(n - 1)*(n + 1)**2/2
Let d(i) be the first derivative of i**7/1680 + i**6/360 + i**5/240 - 4*i**3/3 + 1. Let w(v) be the third derivative of d(v). Find z, given that w(z) = 0.
-1, 0
Suppose -14 = 4*h - 22. Let -2/3*p**h - 10*p**3 + 4/3 - 6*p**4 + 14/3*p = 0. Calculate p.
-1, -1/3, 2/3
Let a be 1 - (-2 + (-3 - -1)). Determine t, given that -4*t**3 - 4*t**2 + 2*t - 1 + 3 + 2*t**4 + 0*t + 2*t**a = 0.
-1, 1
Let v(j) be the third derivative of -j**8/10080 + j**4/24 - 3*j**2. Let p(c) be the second derivative of v(c). Factor p(u).
-2*u**3/3
Suppose -2*m - 10 = -4*y, -3*y = 2*y - m - 17. Suppose 4*b + y*i - 2*i = 20, 0 = 3*b + i - 13. Find g, given that -2/5*g**b + 2/5*g - 2/5 + 2/5*g**2 = 0.
-1, 1
Let m be -1*-14*4/36. Let k(x) be the first derivative of -4/3*x - m*x**3 + 4 - 3*x**2. Factor k(i).
-2*(i + 1)*(7*i + 2)/3
Let r be 8/(-10) + 308/210. Factor 7/3*n**3 - n**4 + r - n - n**2.
-(n - 1)**3*(3*n + 2)/3
Solve -3/5*m**3 + 0*m + 0 - 2/5*m**2 - 1/5*m**4 = 0.
-2, -1, 0
Let f(c) be the second derivative of c**7/63 + c**6/45 - c**5/5 - 7*c**4/9 - 11*c**3/9 - c**2 - 18*c. Factor f(n).
2*(n - 3)*(n + 1)**4/3
Let d(r) be the second derivative of -r**7/168 - r**6/120 + 3*r**5/80 + 5*r**4/48 + r**3/12 - 2*r. Find g such that d(g) = 0.
-1, 0, 2
Factor 2*q**3 - 1/2*q**4 + 0 - 5/2*q**2 + q.
-q*(q - 2)*(q - 1)**2/2
Factor -2*f**5 - 2*f**5 - 3*f**3 - 4*f**2 + 4*f + 2*f**4 + 5*f**5.
f*(f - 1)**2*(f + 2)**2
Let n = -2/63 + 29/252. Let g(s) be the first derivative of n*s**3 + s + 1/2*s**2 + 2. What is q in g(q) = 0?
-2
Let j be 1 + (-3)/(-3) + -5. Let a be 0/(-6*j/6). Find s such that -10/7*s**4 + 4/7*s**2 + 6/7*s**3 + 0 + a*s = 0.
-2/5, 0, 1
Let b be 10/12*(-40)/(-50). Factor 0*l**2 + 4/3*l**4 - b*l**3 + 0*l - 2/3*l**5 + 0.
-2*l**3*(l - 1)**2/3
Let v(n) be the third derivative of n**7/70 + 3*n**6/40 - n**5/10 - 3*n**4/2 - 4*n**3 + 11*n**2. Solve v(q) = 0 for q.
-2, -1, 2
Let d be -1*(0 - 1) - 28. Let f = d - -27. Factor f - 5/4*w**2 - 1/4*w - 7/4*w**3 - 3/4*w**4.
-w*(w + 1)**2*(3*w + 1)/4
Let n be (-4)/(-26) + (-450)/(-117) + -1. Determine m so that 0 + 0*m + 1/4*m**n - 1/4*m**2 = 0.
0, 1
Suppose -9*q = -12*q + 9. Let a = 1 + q. Factor 2/3*c + 2*c**3 + 2*c**2 + 2/3*c**a + 0.
2*c*(c + 1)**3/3
Let b(y) be the second derivative of y**6/5 + 8*y**5/5 + 29*y**4/6 + 20*y**3/3 + 4*y**2 - 22*y. Factor b(t).
2*(t + 1)*(t + 2)**2*(3*t + 1)
Let v be (-372)/66 + 42/7. Let 6/11*q**3 - 6/11*q + 2/11*q**4 + 2/11*q**2 - v = 0. Calculate q.
-2, -1, 1
Factor 3*c + c + 3*c**2 - 15*c**2 + 8*c**2.
-4*c*(c - 1)
Let s = 15 - 11. Factor -2/3*z**3 - 2/3*z**s + 2/3*z**5 + 0*z + 2/3*z**2 + 0.
2*z**2*(z - 1)**2*(z + 1)/3
Let v(n) be the first derivative of n**5/360 + n**2 - 5. Let z(f) be the second derivative of v(f). Let z(o) = 0. What is o?
0
Factor -l**2 - 4*l**2 - l + 1 + 3*l**3 + 0*l + 2*l.
(l - 1)**2*(3*l + 1)
Let j(l) = 11*l**2 - 1. Let i be j(1). Suppose -i = -b - 0*b. Determine y so that 10 - b - y - y**2 = 0.
-1, 0
Let y(i) be the third derivative of -2*i**7/525 + 17*i**6/600 - 2*i**5/25 + 13*i**4/120 - i**3/15 - 6*i**2. Determine o so that y(o) = 0.
1/4, 1, 2
Let o(r) be the second derivative of 0*r**2 - 1/12*r**4 - 1/6*r**3 + 0 - 8*r. Factor o(b).
-b*(b + 1)
Factor -8*l**2 + 4*l**3 - 724*l + 724*l.
4*l**2*(l - 2)
Let r(p) = p**4 + 11*p**3 + 10*p**2 - 4*p - 4. Let w(o) = 10*o**3 + 10*o**2 - 5*o - 5. Let c(a) = 5*r(a) - 4*w(a). Factor c(l).
5*l**2*(l + 1)*(l + 2)
Suppose 6*p - 6 = 3*p. Let i be 2 + 5/((-30)/8). Let z + 0*z**p - i - 1/3*z**3 = 0. Calculate z.
-2, 1
Suppose -3*s + 5 = -2*s. Suppose -k + 15 = 4*k. Let b**2 - 3*b**3 + b**4 + 0*b**2 + s*b**k = 0. Calculate b.
-1, 0
Let b = 331/1183 + 1/169. Factor b*g**2 - 8/7*g + 8/7.
2*(g - 2)**2/7
Let x(t) be the first derivative of -8*t - 10/3*t**3 - 1/2*t**4 + 3 - 8*t**2. Suppose x(g) = 0. Calculate g.
-2, -1
Let p(x) = -x**2 - x + 4. Suppose 4*f + 18 = o + 2*o, 34 = -4*f - 5*o. Let b(k) = 1. Let n(r) = f*b(r) + 3*p(r). Factor n(u).
-3*(u - 1)*(u + 2)
Let w = 4/13 - -1/39. Let x = -17/3 - -6. Find d, given that 1/3*d - 1/3*d**3 + 0 + w*d**2 - x*d**4 = 0.
-1, 0, 1
Let v = -2/119 + 125/357. Let u be ((-4)/(-10))/(3/5). Factor 0 - 1/3*p + 0*p**2 + u*p**3 + 0*p**4 - v*p**5.
-p*(p - 1)**2*(p + 1)**2/3
Determine j so that -5/2*j**2 + 5/2*j - 5/2*j**3 + 0 + 5/2*j**4 = 0.
-1, 0, 1
Let m(u) = -u - 4. Let x be m(-4). Let s be 26/40 - 8/32. Factor 4/5*o**2 - 4/5*o**4 + x*o**3 + s*o**5 - 2/5*o + 0.
2*o*(o - 1)**3*(o + 1)/5
Suppose -2*a + t = 0, -5*a = -0*t + 5*t. Let j be (-52)/(-14) - (-4)/14. Factor 2*s + s**2 - j + s**2 + a.
2*(s - 1)*(s + 2)
Factor 2*b**2 - 2 + 2*b**2 + 4 - 6*b**2.
-2*(b - 1)*(b + 1)
Let d(j) = -j**3 + 4*j**2 + 5*j - 6. Let h be d(5). Let t be 8/10 + h/15. Solve -t*f**2 - 4/5*f - 2/5 = 0 for f.
-1
Let t(w) = -4*w**4 - 6*w**3 - 4*w**2 - 4*w. Let n(p) = -3*p - p**2 + p + 3*p + p**4. Let l(s) = 2*n(s) + t(s). Factor l(b).
-2*b*(b + 1)**3
Let r be -4*(12/(-80))/(-1) + 1. Factor 2/5*f + r - 2/5*f**2 - 2/5*f**3.
-2*(f - 1)*(f + 1)**2/5
Let 0*l**3 - 4/7*l**2 + 0*l + 2/7 + 2/7*l**4 = 0. Calculate l.
-1, 1
Let o(f) = -4*f - 6. Let t be o(-4). Let y = t + -6. Factor 4*z - 2*z**2 - 2*z + 0*z**2 + y.
-2*(z - 2)*(z + 1)
Let w(p) be the third derivative of p**7/560 + p**6/240 + p**3/3 + 5*p**2. Let c(m) be the first derivative of w(m). Determine d so that c(d) = 0.
-1, 0
Let u(p) be the second derivative of -p**6/15 + 4*p**5/15 - 7*p**4/18 + 2*p**3/9 - p. Factor u(f).
-2*f*(f - 1)**2*(3*f - 2)/3
Let w be -37 - ((-14)/(-8) + -2). Let a = w - -37. Factor a*k**3 + 1/4*k - 1/2*k**2 + 0.
k*(k - 1)**2/4
Let q be (-42)/(-63)*2/16. Let p(w) be the first derivative of -2 - q*w**3 + 1/4*w - 1/8*w**2 + 1/16*w**4. Solve p(y) = 0 for y.
-1, 1
Let y be (3 - (-154)/(-54))/(4/6). Factor 0 + 0*j**4 + 0*j**2 + 4/9*j**3 - y*j - 2/9*j**5.
-2*j*(j - 1)**2*(j + 1)**2/9
Let z(c) = 12*c + 25. Let l be z(-2). Suppose -7/4*r**2 + l - 3*r = 0. Calculate r.
-2, 2/7
Let l = 210 + -210. Let l - 2/5*v**3 - 2/5*v**2 + 0*v = 0. What is v?
-1, 0
Let f(x) be the third derivative of -2*x**7/105 + x**6/30 + x**5/15 - x**4/6 + 2*x**2 + x. What is p in f(p) = 0?
-1, 0, 1
Let y(s) be the first derivative of s**3/6 + 2*s**2 + 6*s + 32. Factor y(w).
(w + 2)*(w + 6)/2
Let z(h) be the second derivative of 5*h**7/112 - 3*h**6/80 - 3*h**5/80 - 10*h. Factor z(c).
3*c**3*(c - 1)*(5*c + 2)/8
Let i(n) be the first derivative of -2*n**3/21 - 10*n**2/7 - 50*n/7 - 9. Determine q, given that i(q) = 0.
-5
Let r = 49/2760 - -1/138. Let v(i) be the second derivative of r*i**5 + 0*i**3 + 0*i**2 + 0 + 1/120*i**6 + 1/48*i**4 - 2*i. Let v(m) = 0. What is m?
-1, 0
Let -8/3*h**5 - 22/3*h**4 + 2/3*h + 0 - 2/3*h**2 - 6*h**3 = 0. What is h?
-1, 0, 1/4
Let n(z) = z**2 + z. Let o be n(1). Suppose -14 = 5*r - 39. Factor -r*h**o + 2 - 2*h - 2.
-h*(5*h + 2)
Let l(j) = j**2 - 1. Let q(a) = 6*a**2 - 2*a - 4. Let w(c) = -5*l(c) + q(c). Find y such that w(y) = 0.
1
Let i = 107 + -103. Let p(v) be the third derivative of 0 + 1/40*v**5 + 9/4*v**3 - 3/8*v**4 + 0*v + i*v**2. Factor p(o).
3*(o - 3)**2/2
Let q = 13 - 13. Let b(h) be the second derivative of q + 1/2*h**2 + 1/2*h**3 - 2*h + 1/20*h**5 + 1/4*h**4. Factor b(m).
(m + 1)**3
Let v(x) = x**5 + 8*x**3 - 2*x**2 - 5*x - 6. Let q(z) = -2*z**5 + z**4 - 17*z**3 + 4*z**2 + 10*z + 13. Let k(g) = -4*q(g) - 9*v(g). Factor k(c).
-(c - 1)*(c + 1)**3*(c + 2)
Let t(c) = -3*c + 69. Let y be t(23). Let -3/2*i**2 + y - 3*i = 0. Calculate i.
-2, 0
Let y(n) be the third derivative of n**7/2940 - n**6/420 + n**5/210 + 3*n**3/2 + 5*n**2. Let p(t) be the first derivative of y(t). Factor p(b).
2*b*(b - 2)*(b - 1)/7
Let k = 0 - -4. Suppose 2*l = -m + k, -m - 2*m = 5*l - 10. Factor -i - 2*i**3 + 3*i**3 + m*i**3.
i*(i - 1)*(i + 1)
Suppose 5 = 2*i - 5. Factor -m**3 - m + 2 + 4*m**2 + m - i*m.
-(m - 2)*(m - 1)**2
Suppose -5*c + 8 = -2*u, -3*u + 0*c - 2*c + 26 = 0. Suppose -2*k = -0*k + 2*h - 6, -k - 4*h = -u. Solv