p - 1)**2*(p + 2)/4
Suppose -4*o = 2*h + 4, 4*h - h = -3*o - 18. Let t be -6*1*h/3. Solve -a**4 + t*a**3 + 4*a**5 + 0 - 14*a**4 - 10*a**2 + 1 = 0 for a.
-1/4, 1
Let a be 1 - 4/(-24)*2. Let o = 23 + -19. Find q such that -a*q**3 + 2*q + 2*q**o - 2/3 - 2/3*q**5 - 4/3*q**2 = 0.
-1, 1
Suppose 18 = 5*y + q, y - 2*y - 4*q + 15 = 0. Let w(u) be the third derivative of -u**2 + 1/2*u**4 - 1/10*u**5 + 0*u + 1/120*u**6 + 0 - 4/3*u**y. Factor w(o).
(o - 2)**3
Let a = -10/147 + 36/49. Suppose -2/3 - a*i**3 - 7/3*i - 7/3*i**2 = 0. What is i?
-2, -1, -1/2
Let c be 2/(-3) - (11 - 246/18). Suppose 1/6*r**c + 0 + 0*r = 0. Calculate r.
0
Let y = -18/13 + 116/65. Let q be ((-9)/15)/(15/(-10)). Suppose 0 - q*p**2 - y*p = 0. What is p?
-1, 0
Find q, given that 0 + 0*q - 2/3*q**3 - 1/3*q**2 - 1/3*q**4 = 0.
-1, 0
Let i be 0*-3*(-4)/(-36). Let d(k) = k - 2. Let f be d(4). Factor -2 - 2*q + i*q**2 - f*q - 2*q**2.
-2*(q + 1)**2
Let l be -6*(3 - (-73)/3). Let x = 1478/9 + l. Determine y so that -4/9*y**3 - x*y**4 + 2/9*y + 4/9*y**2 + 2/9*y**5 - 2/9 = 0.
-1, 1
Let v(w) be the second derivative of -1/12*w**4 + 2*w + 0 - 3/80*w**5 + 1/6*w**3 + 1/168*w**7 + 1/60*w**6 + 0*w**2. Find x, given that v(x) = 0.
-2, 0, 1
Let y(p) be the second derivative of -p**6/225 - p**5/75 + 2*p**3/45 + p**2/15 - 4*p. Suppose y(q) = 0. Calculate q.
-1, 1
Suppose 4*v - 10 = -v + u, 0 = 2*v - 3*u - 4. Let k be (-1 - 0)*(-2)/4. Factor -k*c**2 + v*c - 2.
-(c - 2)**2/2
Let w(y) be the third derivative of -y**7/70 + y**6/20 - y**5/20 + 3*y**2. Factor w(i).
-3*i**2*(i - 1)**2
Solve -21*b + 16 - b**2 + 2*b**2 - 5*b**2 + 33*b = 0.
-1, 4
Let u(z) be the third derivative of -4*z**2 + 0 + 0*z - 1/24*z**4 - 1/6*z**3 + 1/30*z**5. Factor u(t).
(t - 1)*(2*t + 1)
Let o(t) = t**2 + 15*t + 56. Let p be o(-7). Suppose p*f**2 + 0*f**4 - 1/2*f**5 - 1/2*f + f**3 + 0 = 0. What is f?
-1, 0, 1
Let d(z) be the second derivative of z**5/30 - z**4/18 - z**3/9 + z**2/3 - 18*z. Factor d(j).
2*(j - 1)**2*(j + 1)/3
Let p = -6/43 + 140/387. Find a such that -2/9*a**2 - 2/3*a**4 + 2/3*a**3 + 0 + p*a**5 + 0*a = 0.
0, 1
Let j be (-218)/(-3) + (-8)/12. Let k be -1 + -3 + j/15. Factor -1/5*d**3 + 0 - k*d + 4/5*d**2.
-d*(d - 2)**2/5
Let p(v) be the third derivative of -v**6/120 - v**5/30 - v**4/24 - v**2. Let p(r) = 0. Calculate r.
-1, 0
Let i(b) be the third derivative of b**6/240 - b**5/60 - b**4/16 - b**2. Let i(a) = 0. Calculate a.
-1, 0, 3
Let m(f) be the first derivative of f**6/30 + 3*f**5/25 + f**4/10 - 2*f**3/15 - 3*f**2/10 - f/5 + 5. Solve m(w) = 0 for w.
-1, 1
Suppose 3*u - 12 = -3*l, 0*l - 4*u - 5 = -3*l. Let s(a) be the second derivative of 1/18*a**4 - l*a - 1/30*a**5 + 0*a**2 + 0 + 0*a**3. Factor s(c).
-2*c**2*(c - 1)/3
Let x(s) be the second derivative of -s**6/75 - 7*s**5/50 - s**4/2 - 13*s**3/15 - 4*s**2/5 - 15*s. Solve x(a) = 0 for a.
-4, -1
Determine x, given that 0 + 2/9*x**2 + 2/9*x = 0.
-1, 0
Determine b so that 6/7*b**2 - 2/7 + 4/7*b = 0.
-1, 1/3
Let a(r) be the second derivative of -r**7/21 - r**6/15 + 3*r**5/10 + 5*r**4/6 + 2*r**3/3 - 13*r. Factor a(c).
-2*c*(c - 2)*(c + 1)**3
Let g(b) be the third derivative of -b**5/100 - 3*b**4/4 - 45*b**3/2 + 14*b**2. Factor g(x).
-3*(x + 15)**2/5
Suppose -104 = 2*t - 112. Determine z so that -1/2*z**3 - 1/2*z**2 + 1/4 + 1/4*z + 1/4*z**5 + 1/4*z**t = 0.
-1, 1
Let t = 207 - 204. Solve -2*r**2 - 2/3 + 2*r + 2/3*r**t = 0 for r.
1
Let d(s) be the third derivative of 5*s**6/48 - 7*s**5/24 + 11*s**4/48 - s**3/12 + 3*s**2. Factor d(m).
(m - 1)*(5*m - 1)**2/2
Let g(t) be the second derivative of -t**6/15 + 3*t**5/10 - t**4/6 - t**3 + 2*t**2 + 4*t. Find b, given that g(b) = 0.
-1, 1, 2
Let a be -2 - (1 + -5)*1. Let t(m) = -2*m - 4. Let o be t(-2). Suppose o*j - 2/5*j**a + 0 = 0. What is j?
0
Let b = 88 - 88. Let w(d) be the first derivative of b*d - 2/25*d**5 + 2/5*d**4 - 2/3*d**3 + 2/5*d**2 - 4. Factor w(f).
-2*f*(f - 2)*(f - 1)**2/5
Let u be (1/36)/((-35)/(-14)). Let o(i) be the third derivative of 0 - 2/9*i**3 - 1/12*i**4 + 0*i + i**2 - u*i**5. Determine n so that o(n) = 0.
-2, -1
Let k(m) be the second derivative of -m**4/84 + 5*m**3/21 - 9*m**2/14 - 4*m - 1. Suppose k(c) = 0. What is c?
1, 9
Let l be (-11 + 2)/(0 + -1). Let f = 28/3 - l. Factor -1/3 - f*v**2 + 2/3*v.
-(v - 1)**2/3
Suppose w - 1 = 3. Suppose w = 3*r - 5. Suppose 2*u**3 + 2*u - 4*u**3 - 2*u**2 - 3*u**r + 2*u**4 + 3*u**3 = 0. Calculate u.
-1, 0, 1
Let b(g) be the first derivative of 5*g**5 - 15*g**4/4 - 35*g**3/3 + 15*g**2/2 + 10*g - 8. Factor b(w).
5*(w - 1)**2*(w + 1)*(5*w + 2)
Let o(h) be the third derivative of 5*h**8/672 + 2*h**7/105 + h**6/240 - h**5/60 - 9*h**2. Factor o(t).
t**2*(t + 1)**2*(5*t - 2)/2
Let a(g) = -g**3 + 3*g**2 - g. Let z(p) = -p**3 + 10*p**2 + 11*p + 2. Let k be z(11). Let w be a(k). Let 4*s - 2*s - s**w - 5*s + 4*s = 0. What is s?
0, 1
Let h(x) be the second derivative of 2/15*x**3 - 4/25*x**5 - 1/10*x**4 - x + 0 - 1/25*x**6 + 0*x**2. Determine c, given that h(c) = 0.
-2, -1, 0, 1/3
Let b(z) be the second derivative of -z**6/6 + 5*z**4/4 + 5*z**3/3 - 17*z. Factor b(d).
-5*d*(d - 2)*(d + 1)**2
Let o = -28 - -22. Let n = o + 11. Determine j, given that 0*j**3 + 0 - 1/4*j + 1/2*j**2 + 1/4*j**n - 1/2*j**4 = 0.
-1, 0, 1
Let q(l) = l**4 - 3*l**3 - 4*l**2 + 4*l - 4. Let s(z) = -z**4 + z**2 - z + 1. Let p(g) = q(g) + 4*s(g). Factor p(f).
-3*f**3*(f + 1)
Let a(u) be the second derivative of -u**3/3 - 3*u**2 - u. Let x be a(-4). Find p, given that 3*p**x - 2*p**4 - 2*p**3 + 2*p**3 - 3*p**3 + 3*p - p**4 = 0.
-1, 0, 1
Let y(p) = p**3 - p**2 + p + 1. Let x(w) = 6*w**3 + 14*w**2 - 26*w - 14. Let d(r) = -x(r) - 10*y(r). Determine a so that d(a) = 0.
-1, -1/4, 1
Let z(j) be the second derivative of -j**5/160 - j**4/64 + j**3/8 + j**2 + 6*j. Let f(o) be the first derivative of z(o). Solve f(d) = 0.
-2, 1
Let v = -169 - -171. Let d(o) be the third derivative of 0 - 2*o**v - 3/4*o**3 + 0*o - 1/120*o**5 + 1/8*o**4. Determine f so that d(f) = 0.
3
Let d(z) be the first derivative of -z**8/784 - 2*z**7/245 - z**6/56 - z**5/70 + z**2/2 - 3. Let c(k) be the second derivative of d(k). Factor c(q).
-3*q**2*(q + 1)**2*(q + 2)/7
Let a(y) be the third derivative of -y**6/480 + y**5/40 - y**4/8 + y**3/3 - 2*y**2 - 12. What is f in a(f) = 0?
2
Suppose -4*v = -p + 3*p, 4*v = 0. Let -4*j + 0*j + 3*j**2 + 2 + p*j**2 - j**2 = 0. Calculate j.
1
Factor 2/7*y + 0*y**2 - 2/7*y**3 + 0.
-2*y*(y - 1)*(y + 1)/7
Let y be 3/(-7) + (-136)/(-56). Factor 0 + 0*b + 1/4*b**5 - 1/4*b**y + 1/4*b**4 - 1/4*b**3.
b**2*(b - 1)*(b + 1)**2/4
Factor 0*m + 1/4*m**5 - 1/4*m**4 + 0 + 1/4*m**2 - 1/4*m**3.
m**2*(m - 1)**2*(m + 1)/4
Suppose 0 = -3*q + 4*x + 17, -3*x = 4*q - x + 14. Let z be -5*(4/10)/q. Let t**2 + 2*t + 0*t**z + 0*t + 1 = 0. Calculate t.
-1
Let o(l) = 6*l - 5*l + 0 + 4. Let z be o(-1). What is s in 0 - 1/2*s**z + 0*s**2 + 1/2*s**4 + 0*s = 0?
0, 1
Let y be (-8)/(-4) - (0 + -1). Suppose -y*x + 20 = 2*x. Factor 2*g**2 + 2*g**2 - x*g - 2*g**2.
2*g*(g - 2)
Let b = -3/14 + 5/7. Suppose -3/2*r - 3/2*r**2 - 1/2 - b*r**3 = 0. What is r?
-1
Let y = -423 + 2116/5. Let 2/5 - y*h - 2/5*h**2 + 1/5*h**3 = 0. Calculate h.
-1, 1, 2
Let f(i) be the second derivative of 3*i**7/35 + i**6/5 - i**5/10 - i**4/2 + 4*i**2/5 + 16*i. Factor f(l).
2*(l + 1)**3*(3*l - 2)**2/5
Let u(c) be the second derivative of 1/12*c**4 + 0 - 1/3*c**3 + 0*c**2 - 4*c. Find p such that u(p) = 0.
0, 2
Let b be (-2)/13 - (-4)/702. Let i = b + 43/108. Factor 0*c**2 + 0*c - i*c**3 - 1/4*c**4 + 0.
-c**3*(c + 1)/4
Let d(f) = -f**3 - 5*f**2 - 6*f - 3. Let n be d(-4). Factor 6*w**2 + 3*w - 6*w**4 - n*w**5 + 0*w + 2*w**5.
-3*w*(w - 1)*(w + 1)**3
Let a(q) be the third derivative of -q**5/150 + q**4/60 + 7*q**2. Solve a(x) = 0 for x.
0, 1
Let u(x) be the third derivative of 0*x + 0 + 7/150*x**5 + 2/15*x**3 + 3*x**2 - 1/150*x**6 - 7/60*x**4. Determine p so that u(p) = 0.
1/2, 1, 2
Find l such that 18*l**2 - 7*l**3 - 7*l**4 - 2*l**4 - 14*l**3 = 0.
-3, 0, 2/3
Let a(y) = 6*y + 12. Let d be a(-9). Let n = d - -128/3. Factor 0*j + 2/3*j**2 - n*j**3 + 0.
-2*j**2*(j - 1)/3
Let z(p) be the third derivative of 1/180*p**5 + 0*p - 2*p**2 - 1/9*p**3 + 1/72*p**4 + 0. Factor z(k).
(k - 1)*(k + 2)/3
Let k(j) be the first derivative of -j**4/14 - 6*j**3/7 - 15*j**2/7 + 50*j/7 + 41. Factor k(h).
-2*(h 