4 + r**3/9 + 3*r. Factor h(q).
-q*(q - 1)**2*(5*q - 2)/3
Let s = -3 + 4. Let u be 0/((-6)/2)*s. Let -2/5*i**4 - 2/5 + 0*i**3 + u*i + 4/5*i**2 = 0. What is i?
-1, 1
Let x(f) be the second derivative of -f**4/20 + 4*f**3/5 + 17*f. Let x(g) = 0. Calculate g.
0, 8
Let d = 18/77 + 8226/385. Factor 0 + 147/5*u**5 + 327/5*u**3 - 378/5*u**4 + 12/5*u - d*u**2.
3*u*(u - 1)**2*(7*u - 2)**2/5
Let z(h) be the second derivative of 0*h**2 - 1/18*h**4 + 0*h**5 + 0 + 1/18*h**3 - 1/126*h**7 + 1/45*h**6 + 6*h. Factor z(j).
-j*(j - 1)**3*(j + 1)/3
Let v be (8/(-3))/(1/(-6)). Suppose a**5 + 3 + 9*a - v*a**2 - 6*a**4 + 1 + 14*a**3 - 6 = 0. What is a?
1, 2
Let y(i) be the second derivative of i**7/56 - i**6/20 - 3*i**5/40 + i**4/4 + i**3/8 - 3*i**2/4 + 3*i. Determine k, given that y(k) = 0.
-1, 1, 2
Suppose 2*j = 7 - 1. Solve -22 + 2*i**j + 22 = 0 for i.
0
Suppose 9*w = 7*w + 12. Factor -2*z - w*z**2 - 10/3*z**3 + 2/3.
-2*(z + 1)**2*(5*z - 1)/3
Let c(b) be the third derivative of -b**7/210 + b**6/24 - b**5/30 - b**4/3 + 4*b**2. Suppose c(u) = 0. Calculate u.
-1, 0, 2, 4
Suppose 5*f = 35 + 10. Suppose 0 = 4*l - f*l + 5*k + 25, 3*l + 5 = -k. Factor l + 2/5*z**2 - 2/5*z.
2*z*(z - 1)/5
Let v(c) be the third derivative of c**5/140 + 5*c**4/168 - c**3/21 - 8*c**2. Find f, given that v(f) = 0.
-2, 1/3
Let t = 3 - 1. Factor t*j**4 + 11*j**3 - 11*j**3 - 2*j**2.
2*j**2*(j - 1)*(j + 1)
Let s be (-6)/(-8) - 268/360. Let l(z) be the third derivative of 0*z - s*z**6 + 0 + 0*z**5 + 1/630*z**7 + 1/36*z**4 - 1/18*z**3 - z**2. Factor l(a).
(a - 1)**3*(a + 1)/3
Factor -4/5*c**2 + 0 - 8/5*c.
-4*c*(c + 2)/5
Let b be ((-63)/14)/(9/(-6)). Let w be b + -4*5/(-20). Factor 0 - 2/3*n**w + 2/3*n**2 - 1/3*n**5 + 1/3*n + 0*n**3.
-n*(n - 1)*(n + 1)**3/3
Let l(u) be the second derivative of 0*u**2 - 2*u + 0 - 1/40*u**5 + 0*u**6 + 1/168*u**7 + 0*u**4 + 1/24*u**3. What is f in l(f) = 0?
-1, 0, 1
Let j(p) = -p + 2*p - 2*p + 7. Let b be j(7). Factor b*t**2 + 2*t**2 + 0*t**2 + 2*t.
2*t*(t + 1)
Factor -1/3*r**3 - 1/3*r**4 + 0 + 1/3*r + 1/3*r**2.
-r*(r - 1)*(r + 1)**2/3
What is n in 3*n**5 - 45*n + 6*n**3 + 9*n**4 + 45*n = 0?
-2, -1, 0
Let m be (-14)/(-24) - 27/81. Factor 0 - 1/4*a**3 + m*a**4 - 1/4*a**2 + 1/4*a.
a*(a - 1)**2*(a + 1)/4
Suppose -2*h + 0*h + t - 6 = 0, -t = 0. Let n be (-4 + 5 - h) + -1. Solve 1/2 - 1/2*a**n + 3/2*a**2 - 3/2*a = 0.
1
Suppose -4*f - 4 = -2*f. Let z = 4 + f. Factor -3*m + 0*m**3 + 3 - m**3 - 3*m**z - 4.
-(m + 1)**3
Let g(t) be the first derivative of -t**3/3 - 18. Factor g(a).
-a**2
Factor 0 - 1/2*l**2 - 1/2*l**4 + 0*l - 5/4*l**3.
-l**2*(l + 2)*(2*l + 1)/4
Suppose s = 5 - 3. Suppose -5 = -s*q + 3. Determine i, given that 0 + 0*i**2 - 2/5*i**5 + 0*i**q + 4/5*i**3 - 2/5*i = 0.
-1, 0, 1
Suppose 3*d - 3*t - 3 = 0, 2*d + 3 + 1 = 4*t. What is z in 2 - 2 + z**2 + d*z - 3*z = 0?
-1, 0
Let h(f) be the third derivative of -f**8/168 - f**7/35 - f**6/60 + f**5/10 + f**4/6 - 4*f**2. Find t such that h(t) = 0.
-2, -1, 0, 1
Let p(k) be the third derivative of k**6/600 - k**4/40 - k**3/15 + 13*k**2. What is b in p(b) = 0?
-1, 2
Suppose -27*k + 50 = -17*k. Solve 3/2*p**4 + 0*p**2 - 1/2*p**3 + 0 + 2*p**k + 0*p = 0 for p.
-1, 0, 1/4
Let y(k) be the first derivative of 2/15*k**5 - 1/6*k**2 - 2/9*k**3 + 2 + 0*k**4 + 1/18*k**6 + 0*k. Determine w, given that y(w) = 0.
-1, 0, 1
Solve -2/7*h**5 + 8/7 + 30/7*h + 0*h**4 + 20/7*h**3 + 40/7*h**2 = 0.
-1, 4
Let k(x) = x**4 + x**3 - x**2 + x. Let a(n) = 25*n**3 - 20*n**2 + 5*n. Let s(t) = a(t) - 5*k(t). Factor s(p).
-5*p**2*(p - 3)*(p - 1)
Factor 3/2*h + 3/4*h**2 + 0.
3*h*(h + 2)/4
Suppose r**2 + 0*r**3 - 1/3*r**4 - 2/3*r + 0 = 0. What is r?
-2, 0, 1
Let g(x) be the third derivative of -x**6/180 + x**5/30 - x**4/12 - 2*x**3/3 - x**2. Let q(z) be the first derivative of g(z). Determine k so that q(k) = 0.
1
Suppose u + 4*a = 9, -a = u + 2*a - 6. Let b be u*(-12)/189*3. Factor 2/7*g**4 + 0*g**2 + 4/7*g - b*g**3 - 2/7.
2*(g - 1)**3*(g + 1)/7
Let v(h) be the third derivative of -h**5/180 + h**4/18 - 2*h**3/9 - 8*h**2. Solve v(g) = 0.
2
Suppose -2*u + 0*u + 6 = -4*h, -2*u - 5*h = 21. Let d(i) = -i**3 - 3*i**2 + 2. Let n be d(u). Solve -3*q - q**n - 3*q**3 + q + 4*q**3 = 0 for q.
-1, 0, 2
Let l(y) be the first derivative of y**5/20 - 5*y**4/16 + 2*y**3/3 - y**2/2 + 7. Factor l(h).
h*(h - 2)**2*(h - 1)/4
Let b(h) = -6*h**5 - h**4 - 4*h**3 - 4*h**2 + 5*h - 5. Let o(r) = -r**5 - r**3 - r**2 + r - 1. Let n(j) = 2*b(j) - 10*o(j). Factor n(x).
-2*x**2*(x - 1)*(x + 1)**2
Let g(u) be the second derivative of 2/105*u**6 + 0*u**5 - 1/147*u**7 + 0*u**2 + 4*u + 1/21*u**3 + 0 - 1/21*u**4. Factor g(t).
-2*t*(t - 1)**3*(t + 1)/7
Suppose -8*h = -7*h. Let d(r) be the first derivative of 1 + 1/20*r**4 - 1/10*r**2 + h*r**3 + 0*r. Determine p, given that d(p) = 0.
-1, 0, 1
Factor 0 + 5/9*b**3 + 1/9*b**5 + 0*b - 2/9*b**2 - 4/9*b**4.
b**2*(b - 2)*(b - 1)**2/9
Let a(i) be the third derivative of -i**8/42 - 2*i**7/105 + i**6/5 + 7*i**5/15 + i**4/3 + 3*i**2. Determine y, given that a(y) = 0.
-1, -1/2, 0, 2
Let o(j) be the second derivative of j**6/165 - 2*j**5/55 + 5*j**4/66 - 2*j**3/33 + 6*j. Factor o(w).
2*w*(w - 2)*(w - 1)**2/11
Let -286*k**2 - 14 + 289*k**2 + 2 = 0. What is k?
-2, 2
Let i(y) be the first derivative of y - y**3 - 4 + 2/5*y**5 + 1/4*y**4 - 1/2*y**2. Factor i(d).
(d - 1)*(d + 1)**2*(2*d - 1)
Let r = 1708 + -20483/12. Let b(s) be the third derivative of -2/3*s**3 + 0 + 0*s - s**2 + 1/4*s**6 - 13/15*s**5 + r*s**4. Factor b(f).
2*(f - 1)*(3*f - 1)*(5*f - 2)
Let f(q) = 25*q**4 + 85*q**3 + 35*q**2 + 35*q - 35. Let w(s) = -2*s**4 - 7*s**3 - 3*s**2 - 3*s + 3. Let i(z) = -3*f(z) - 35*w(z). What is o in i(o) = 0?
-2, 0
Suppose a = -3*p, 8 + 2 = -5*p. Suppose 0 = -3*c - 3*f + 9, a = 2*c - 2*f + 3*f. Let 9*o**2 - 3*o**4 - o + 6*o**4 - 7*o**c - 4*o**2 = 0. Calculate o.
0, 1/3, 1
Let 7/3 - 1/2*d**2 + 19/6*d = 0. Calculate d.
-2/3, 7
Factor 0*d - 2/5*d**3 + 0 + 2/5*d**2.
-2*d**2*(d - 1)/5
Let s(d) be the third derivative of -3*d**2 + 0*d**3 + 0*d + 0 - 1/160*d**6 + 1/80*d**5 + 0*d**4. Find h, given that s(h) = 0.
0, 1
Suppose -24*g - 35 = -83. Factor 3/2*a - 1 - 1/2*a**g.
-(a - 2)*(a - 1)/2
Factor 3*u**3 + 2 + 227*u + 4 - 461*u + 225*u.
3*(u - 1)**2*(u + 2)
Suppose -23*g**5 - 41*g**5 - 1072*g**4 - 105 + 41 - 784*g - 4876*g**3 - 3265*g**2 = 0. What is g?
-8, -1/4
Let 4/9*d**4 - 4/9*d**2 + 2/9*d + 0 - 2/9*d**5 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let i(d) be the third derivative of -d**6/420 + d**5/70 - d**4/28 + d**3/21 - 10*d**2. Factor i(x).
-2*(x - 1)**3/7
Let q(l) = -l**2 - 10*l. Let s be q(-9). Factor 11*z**2 - s*z**2 + 4 - 6*z + 0*z.
2*(z - 2)*(z - 1)
Suppose 0 = 5*q - 2*b - 8, -2*q + 2*b = 6*b - 8. Let y(t) be the second derivative of 0*t**3 + 0 - 1/24*t**4 + 1/4*t**2 - q*t. What is u in y(u) = 0?
-1, 1
Let d(v) be the third derivative of 2*v**5/255 - v**4/204 - v**3/17 + 21*v**2. Suppose d(t) = 0. What is t?
-3/4, 1
Factor 4*b**2 + 29*b**3 - 4 - 56*b**3 + 23*b**3 + 4*b.
-4*(b - 1)**2*(b + 1)
Let i(a) be the second derivative of -1/100*a**5 - 3*a + 1/30*a**4 + 0*a**3 + 0*a**2 + 0. Factor i(v).
-v**2*(v - 2)/5
Let s = -1/2 + 1. Let k be ((-6)/72)/(1/(-9)). Suppose -s*v + 0 - k*v**2 = 0. What is v?
-2/3, 0
Let y(l) = l**2 - 2*l + 1. Let x be y(1). Let n be 0 + 0 - (x + -2). Find k, given that -46/7*k**4 - n*k**5 - 54/7*k**3 - 4/7*k + 0 - 26/7*k**2 = 0.
-1, -2/7, 0
Let j = 26 - 22. Let p(b) be the first derivative of 1 + 1/2*b**j + 2/3*b**3 + 0*b**2 + 0*b. Factor p(v).
2*v**2*(v + 1)
Let k(f) be the third derivative of f**8/12 + 6*f**7/35 - f**6/6 - 3*f**5/5 - f**4/3 - 10*f**2. Determine q, given that k(q) = 0.
-1, -2/7, 0, 1
Let -2/3*a**2 - 2/9 + 2/9*a**3 + 2/3*a = 0. What is a?
1
Let p = -4823 - -1374557/285. Let h = p - -188/285. Factor -h*f**2 + 0 - 2/3*f.
-2*f*(f + 1)/3
Let p(m) be the first derivative of -1/4*m**2 - m - 2 + 1/8*m**4 + 1/3*m**3. Solve p(a) = 0 for a.
-2, -1, 1
Let g(z) be the first derivative of -z**6/27 - 2*z**5/45 + z**4/18 + 2*z**3/27 + 22. Determine i so that g(i) = 0.
-1, 0, 1
Suppose 0 + g**3 - g**2 + 1/3*g - 1/3*g**4 = 0. Calculate g.
0, 1
Suppose -4*i - 3 = -15. Suppose -i*u - u + 16 = 0. Let -p**3 - 2*p - 2*p**u + 4*p + 2*p**2 - p**3 = 0. What is p?
-1, 0, 1
Let u(c) be the first derivative of -c**5/45 + c**4/36 + c**3/27 - c**2/18 + 7. Factor 