 1/4*h**3 + 1/4*h**a + 0*h**2 + 0*h.
h**3*(h + 1)**2/4
Let g(f) be the third derivative of 15*f**8/112 + 8*f**7/35 - 11*f**6/40 - 4*f**5/5 - f**4/2 - 6*f**2. Suppose g(r) = 0. Calculate r.
-1, -2/3, -2/5, 0, 1
Let x(b) be the second derivative of -2*b + 1/6*b**6 + 0 + 0*b**2 + 1/3*b**3 - 9/20*b**5 - 5/12*b**4 + 1/6*b**7. Solve x(a) = 0 for a.
-1, 0, 2/7, 1
Let o be (12/(-30))/((-1)/10). Let f be (o/(-10))/(24/(-30)). Suppose 0 + 3/2*t**2 + 1/2*t + f*t**4 + 3/2*t**3 = 0. What is t?
-1, 0
Let p = -85/8 - -1291/120. Let c(d) be the first derivative of 1/10*d**4 + 3 + 0*d - p*d**3 - 2/5*d**2. Factor c(v).
2*v*(v - 2)*(v + 1)/5
Let w = 57 - 55. Let j(t) be the second derivative of 0 + 0*t**2 - 1/21*t**3 - w*t - 1/42*t**4 + 1/70*t**5 + 1/105*t**6. Factor j(p).
2*p*(p - 1)*(p + 1)**2/7
Let s(f) be the second derivative of 5*f**4/12 - 5*f**2/2 + 20*f. Let s(i) = 0. What is i?
-1, 1
Suppose -10*n = 9*n - 57. Suppose 1/4*f - 1/4*f**n - 1/4*f**2 + 1/4 = 0. What is f?
-1, 1
Find r such that 3/2 - 39/8*r**2 + 27/8*r**4 + 6*r**3 - 6*r = 0.
-2, -1, 2/9, 1
Factor -1/7 - 1/7*x**2 + 2/7*x.
-(x - 1)**2/7
Let n be (1 + 0)*(2 + 5)/21. Determine h, given that 0 - h**2 - n*h = 0.
-1/3, 0
Factor w**2 + 5*w**2 - 8*w + 6*w**2 - 4*w**4.
-4*w*(w - 1)**2*(w + 2)
Suppose 19*p - 16*p = 0. Let b(a) be the second derivative of -4*a + 0*a**2 + 1/30*a**6 + p - 1/12*a**4 + 1/6*a**3 - 1/20*a**5. Let b(z) = 0. What is z?
-1, 0, 1
Let d(j) = 14*j**3 + 20*j**2 + 8. Let z(b) = -b**2 + 8*b**2 + 3 + b**3 + 4*b**3. Let h(s) = -3*d(s) + 8*z(s). Factor h(u).
-2*u**2*(u + 2)
Let r = 5 + -2. Determine k so that -k**2 + 4*k - k**3 - 1 - r*k + 2 = 0.
-1, 1
Let k(o) be the second derivative of 0*o**4 + 1/225*o**6 + 0*o**2 - 4*o - 1/150*o**5 + 0 + 0*o**3. Let k(d) = 0. What is d?
0, 1
Solve 6 - z - z + 6*z**4 - 2*z**5 + 754*z**2 + 4*z**3 - 766*z**2 = 0 for z.
-1, 1, 3
Let n(m) = m**2 - 7*m + 2. Let g be (-5 + 8)*7/3. Let k be n(g). Suppose -6*i**2 - 7*i**3 + 4*i**k + i**3 = 0. What is i?
-1/3, 0
Let b(i) be the third derivative of i**5/160 - i**4/16 + 3*i**3/16 + 43*i**2. Factor b(t).
3*(t - 3)*(t - 1)/8
Suppose -1/3*j**4 + 1/3*j**2 + 1/3*j**3 + 0 - 1/3*j = 0. What is j?
-1, 0, 1
Find n such that 4*n**3 + 43 + 9*n**2 + 8*n - 43 - 21*n**2 = 0.
0, 1, 2
Factor 2/15*x**2 - 4/5*x + 2/3.
2*(x - 5)*(x - 1)/15
Let o be (35/105)/((-2)/(-24)*11). Let 14/11*f**4 + o*f**2 + 18/11*f**3 + 0*f + 0 = 0. What is f?
-1, -2/7, 0
Let b(z) be the second derivative of -z**5 + 5*z**4/12 + 10*z**3/3 - 5*z**2/2 - 4*z. Let b(j) = 0. What is j?
-1, 1/4, 1
Let w(s) be the first derivative of 4*s**3/3 + 2*s**2 - 12. Solve w(x) = 0 for x.
-1, 0
Let b be 1/6*2 + (-121)/(-33). Let p(d) be the third derivative of 1/6*d**b + d**2 + 0*d - 1/3*d**3 + 0 - 1/40*d**5. Factor p(v).
-(v - 2)*(3*v - 2)/2
Let r = 105/2 - 51. Suppose -3/2*k**2 + 3/2*k + 3/2*k**4 + 0 - r*k**3 = 0. What is k?
-1, 0, 1
Let m(v) be the first derivative of -v**4/42 - 4*v**3/21 - 3*v**2/7 - 3*v - 1. Let d(y) be the first derivative of m(y). What is t in d(t) = 0?
-3, -1
Let i(c) be the second derivative of -c**7/105 - c**6/10 - 13*c**5/30 - c**4 - 4*c**3/3 + 3*c**2 + 7*c. Let u(r) be the first derivative of i(r). Factor u(m).
-2*(m + 1)**2*(m + 2)**2
Let g(b) = b**2 - 5*b + 6. Let c be g(4). Let a(w) = w**2 - w. Let v be a(c). Find d such that 1/2*d**v + d + 1/2 = 0.
-1
Suppose -b = 22 - 22. Factor 1/5*k**3 + b + 2/5*k**2 + 0*k - 8/5*k**4 + k**5.
k**2*(k - 1)**2*(5*k + 2)/5
Suppose 1 = -2*n + 3*i, 49 = -5*n - 2*i - 1. Let s be (n/10)/((-6)/30). Factor -4/7 - 10/7*f**s - 6*f**2 - 34/7*f**3 - 22/7*f.
-2*(f + 1)**3*(5*f + 2)/7
Let 39/8*c + 9/4 + 3/8*c**3 + 3*c**2 = 0. What is c?
-6, -1
Suppose 0 = -3*r + 5 + 31. Let h be (16/r)/((-2)/(-6)). Solve 8/7 + 4/7*u**h - 10/7*u**3 + 16/7*u - 6/7*u**2 = 0.
-1, -1/2, 2
Let d = 1003/2 - 500. Let -d*j - 1/2 + 2*j**2 = 0. Calculate j.
-1/4, 1
Let o(q) be the third derivative of -q**7/120 + 13*q**6/120 + q**5/5 + q**4/3 - 3*q**2. Let j(y) be the second derivative of o(y). Factor j(g).
-3*(g - 4)*(7*g + 2)
Let l(x) be the third derivative of -x**9/100800 + x**8/33600 + x**7/8400 - x**6/1200 - x**5/10 - 3*x**2. Let m(k) be the third derivative of l(k). Factor m(w).
-3*(w - 1)**2*(w + 1)/5
Let f(a) be the second derivative of -a**6/10 + 3*a**5/4 - 9*a**4/4 + 7*a**3/2 - 3*a**2 - 13*a. Solve f(m) = 0 for m.
1, 2
Factor l - 1/3*l**2 - 2/3.
-(l - 2)*(l - 1)/3
Let h be (-3 + -2)/5*-3. Solve 1/2*o**2 - 1/2*o**h + 1/2*o - 1/2 = 0.
-1, 1
Let q(y) = -2*y + 6. Let n be q(2). Let c(m) be the first derivative of -1/6*m**6 + 2 + 0*m + 0*m**n + 1/4*m**4 - 1/3*m**3 + 1/5*m**5. Factor c(h).
-h**2*(h - 1)**2*(h + 1)
Let x = -9 + 14. Suppose 4 = -x*z - 4*a, -3*a = -0*z - z + 3. Factor 8/9*t**3 + 0 + 0*t + z*t**2 - 8/9*t**4 + 2/9*t**5.
2*t**3*(t - 2)**2/9
Suppose 0 = 3*i + 5*b + 100, -2*i - 2*b = 3*i + 192. Let f be ((-6)/9)/(i/12). Suppose -1/5*q**2 - 1/5*q**3 + f*q + 1/5 = 0. What is q?
-1, 1
Let r = 0 - 0. Let b(c) = -c**2 + 4. Let n be b(0). Let -x**3 + 2*x**2 + r*x**2 - 2*x**4 - n*x + 5*x = 0. Calculate x.
-1, -1/2, 0, 1
Solve -6/5*p + 0 + 1/5*p**2 = 0.
0, 6
Suppose -z = -f + 8, -4*f + 2*z + 22 + 12 = 0. Factor 24*q**2 + q - 4*q**3 + 14*q**3 - 2*q + f*q.
2*q*(q + 2)*(5*q + 2)
Suppose 0 = w, 2*w = 5*z - 33 - 17. Let x(d) be the first derivative of -29/3*d**3 - 4*d + 4*d**4 + z*d**2 - 1 - 3/5*d**5. Find b, given that x(b) = 0.
1/3, 1, 2
Let w(l) = -9*l**5 + 6*l**4 + 3*l**3 + 7. Let h(q) = -8*q**5 + 6*q**4 + 2*q**3 + 6. Suppose -9 = 2*i + 5. Let b(s) = i*h(s) + 6*w(s). Factor b(u).
2*u**3*(u - 2)*(u - 1)
Let v(x) be the third derivative of -1/60*x**6 + 0*x + 0 - 1/210*x**7 + 2*x**2 + 0*x**4 - 1/60*x**5 + 0*x**3. Determine f so that v(f) = 0.
-1, 0
Let d(q) = 6*q**2 - 4*q**3 - q - 5 + 4 - q**4 - 3*q. Let w(o) = 2*o**4 + 7*o**3 - 11*o**2 + 7*o + 2. Let z(m) = -7*d(m) - 4*w(m). Find g such that z(g) = 0.
-1, 1
Let o(r) be the third derivative of -r**6/105 - r**5/42 + r**4/12 + 2*r**3/21 + 5*r**2. Find m such that o(m) = 0.
-2, -1/4, 1
Let t(c) be the first derivative of -c**7/42 + c**6/15 - c**5/20 - 3*c - 4. Let z(j) be the first derivative of t(j). Factor z(a).
-a**3*(a - 1)**2
Let b be (0 + (-2 - -2))/1. Suppose -4*r = -2*h - b + 8, -5 = -5*h - 5*r. Factor h*p**2 - 2 + 2*p**3 + 2.
2*p**2*(p + 1)
Let v(k) = k**2 - k. Let r(i) = 3*i**2 - 3*i + 2. Let x(q) = -r(q) + 4*v(q). Solve x(j) = 0.
-1, 2
Let w = -55 - -55. Let t(b) be the first derivative of -5/27*b**6 - 8/15*b**5 + 0*b**3 + 0*b**2 + w*b - 2/9*b**4 + 3. Solve t(p) = 0.
-2, -2/5, 0
Suppose o - 22 = 5*d, -5*d = -5*o + 3*o + 24. Let m be -3 + (o - 22/(-18)). Find l such that -2/9*l**2 + 0*l + 0 - 4/9*l**3 - m*l**4 = 0.
-1, 0
Let t(v) be the first derivative of 1/8*v**4 + 2 - 1/4*v**2 - 1/10*v**5 + 1/6*v**3 + 0*v. Factor t(n).
-n*(n - 1)**2*(n + 1)/2
Factor 2/5*f**2 + 2/5*f**3 - 2/5 - 2/5*f.
2*(f - 1)*(f + 1)**2/5
Let p(l) be the first derivative of 3/4*l**4 + 1/3*l**3 + 7 - l**2 + 0*l. Determine s so that p(s) = 0.
-1, 0, 2/3
Let w be -12 - -9 - (-6)/2. Suppose 2*u = -0*u. Let -1/2*v**3 + w + u*v - v**2 = 0. Calculate v.
-2, 0
Let v(g) be the second derivative of 0*g**5 + 0*g**4 + 0*g**2 + 0 + 0*g**3 - 4*g - 1/21*g**7 + 0*g**6. Suppose v(a) = 0. Calculate a.
0
Let y(k) be the third derivative of -k**5/60 - k**4/6 + 3*k**2 + 4. Factor y(b).
-b*(b + 4)
Let i(l) be the second derivative of -l**4/72 - l**3/9 + 5*l**2/12 + 19*l. Determine a, given that i(a) = 0.
-5, 1
Let o(l) = -l + 3. Let r be o(-1). Let y(j) be the third derivative of 0*j**3 + 1/120*j**5 + 0 - 3*j**2 + 0*j - 1/24*j**r. Determine w so that y(w) = 0.
0, 2
Let q = 28 + -26. What is a in 0 - 9/2*a**q + 9/2*a**4 + 3/2*a - 3/2*a**3 = 0?
-1, 0, 1/3, 1
Let m(g) = -2*g**2 + 2*g - 4. Let w(s) = -3*s**2 + 2*s - 4. Let b be (35/(-28))/(2/8). Let k(n) = b*m(n) + 4*w(n). Let k(q) = 0. What is q?
-2, 1
Let y(h) be the third derivative of -h**6/240 + h**5/60 - h**4/48 - 4*h**2 + 5*h. Let y(x) = 0. What is x?
0, 1
Let x(v) be the second derivative of v**6/30 - v**5/5 + v**4/4 - 3*v. Suppose x(z) = 0. What is z?
0, 1, 3
Factor -w**3 - 3*w + 5*w**3 + 15*w + 16*w**2.
4*w*(w + 1)*(w + 3)
Suppose -9*h - 226 + 244 = 0. Factor -1/4 + 1/2*g - 1/4*g**h.
-(g - 1)**2/4
Let r be -3*5/(45/(-6)). Suppose -5*v**2 + 3*v - 2*v**5 - 4*v**r + 3*v**2 + 6*v**4 -