*3 - 13/4*u.
-(u + 1)**2*(u + 6)/4
Let r = 1/356 + 3909/2492. Suppose 0 + 2/7*f - r*f**2 - f**4 + 16/7*f**3 = 0. Calculate f.
0, 2/7, 1
Suppose 68 = 4*n - 16. Suppose -f - 3*p - 6 = 0, 0 = 2*f - 2*p - 3*p - n. Factor 2 - 3*h**f + h**3 - 4 - 6*h - 6*h**2.
-2*(h + 1)**3
Let q be (-2)/(-11) - 26/1716. Factor 0*g**2 + 0*g - q*g**4 - 1/6*g**3 + 0.
-g**3*(g + 1)/6
Let f(k) be the second derivative of 1/12*k**2 + 1/72*k**4 + 1/18*k**3 + 0 + 2*k. Factor f(t).
(t + 1)**2/6
Let f(a) be the first derivative of -a**6/18 - 7*a**5/15 - 3*a**4/2 - 22*a**3/9 - 13*a**2/6 - a + 12. Let f(o) = 0. Calculate o.
-3, -1
Let y = 27 - 33. Let h be (-3 - y) + (-2)/4. Factor -17/2*q**4 + q + 21/2*q**3 + h*q**5 - 11/2*q**2 + 0.
q*(q - 1)**3*(5*q - 2)/2
Let r(q) be the first derivative of -q**6/24 - 3*q**5/40 + q**4/4 - 5*q**3/3 + 3. Let t(v) be the third derivative of r(v). Solve t(d) = 0.
-1, 2/5
Let m be 0 - (3 - 14/4). Factor 1/2*b**2 + m + b.
(b + 1)**2/2
Let y = 244/187 + -16/17. Let 2/11*z + 0 + 2/11*z**3 - y*z**2 = 0. Calculate z.
0, 1
Suppose -2*v = 2*a - 3*v + 1, 4*a - 3 = v. Solve 107*d - 1 - d**a - 110*d - 1 = 0.
-2, -1
Suppose 121*x = 132*x. Factor -1/3*k**4 + 1/3*k**3 + 0 + 0*k**2 + x*k.
-k**3*(k - 1)/3
Let m be 0 - (1 + 0 - 1). Let d = 96/215 + -2/43. Let -d*w**2 + m - 2/5*w = 0. Calculate w.
-1, 0
Let j(r) be the first derivative of -2*r**3/21 + 2*r**2/7 - 2*r/7 + 11. Factor j(k).
-2*(k - 1)**2/7
Let w(d) = -3*d**3 + 16*d**2 - 27*d + 7. Let c(z) = z**3 - 8*z**2 + 13*z - 3. Let f(g) = -14*c(g) - 6*w(g). What is b in f(b) = 0?
-5, 0, 1
Suppose 2 = -3*u + 14. Suppose -25 = -5*m - 2*t + t, t + 20 = u*m. Solve 3 + 2*o**3 - 1 + 4*o - 1 + m*o**2 = 0.
-1, -1/2
Let y(x) be the second derivative of -x**5/20 + 2*x**4/3 + x**2 + x. Let z be y(8). Solve -4*p + 4*p - p**z + 2*p**2 = 0.
0
Let -l**2 + l**3 - 1/2*l**5 - 1/2*l + 1/2 + 1/2*l**4 = 0. Calculate l.
-1, 1
Let w be ((-164)/80 - -2)*-1. Let t(r) be the second derivative of 1/12*r**4 - r - 1/2*r**2 + w*r**5 + 0 - 1/6*r**3. Factor t(l).
(l - 1)*(l + 1)**2
Let m be 6/15 + (34/40 - 1). Factor 0 - m*t + 1/4*t**2.
t*(t - 1)/4
Let g(t) = -t**4 + t**3 - t**2 - t + 1. Let a(u) = -u**5 - u**4 + 3*u**3 - 5*u**2 - 2*u + 3. Let p(m) = a(m) - 3*g(m). Suppose p(j) = 0. Calculate j.
-1, 0, 1
Let b = -1/149 - -603/1043. Let d be (-3)/9*12/(-14). Factor d*c**2 + 2/7 - b*c.
2*(c - 1)**2/7
Let h be (5 - 98/21)/(-3 + 4). Let 0 - h*p - 1/3*p**2 = 0. Calculate p.
-1, 0
Factor -3/2*v - 1 - 1/2*v**2.
-(v + 1)*(v + 2)/2
Let v(g) be the first derivative of g**8/504 - g**6/90 + g**4/36 + g**2/2 - 1. Let o(c) be the second derivative of v(c). Suppose o(b) = 0. What is b?
-1, 0, 1
Let u(s) = 0 + s**4 - 2 - 3*s**2 + 7*s**2. Let z(o) = o**4. Let g(p) = u(p) - 3*z(p). Determine i, given that g(i) = 0.
-1, 1
Suppose 5*x = -0*x + 2*x. Let r(p) be the second derivative of 2*p**2 + x*p**3 + 0 - 1/4*p**4 - 2*p - 1/20*p**5. Suppose r(i) = 0. Calculate i.
-2, 1
Let t = 21 - 9. Let b be (-4)/(-6) - t/(-9). Solve 2*v**b + 0*v**2 - v**2 = 0.
0
Let n(c) be the second derivative of -2*c**6/45 + c**5/5 + 4*c**4/9 - 18*c. Factor n(t).
-4*t**2*(t - 4)*(t + 1)/3
Let r be 20/(-10) + 1*6. Suppose r*g = 1 + 7. Factor -5*d - d**5 - g*d**3 + 6*d + 2*d**5.
d*(d - 1)**2*(d + 1)**2
Suppose 18 = -2*s - 7*n + 3*n, -8 = -3*s + n. Let l(m) be the first derivative of -s + 0*m - 6/5*m**5 + 0*m**2 - 2/3*m**3 - 1/3*m**6 - 3/2*m**4. Factor l(t).
-2*t**2*(t + 1)**3
Find x such that -24/11*x**3 + 12/11*x**4 + 16/11*x**2 + 0*x - 2/11*x**5 + 0 = 0.
0, 2
Let d be (10/(-6))/((-2)/6). Suppose -s - 10 = i + 3*i, 5*i = -3*s + d. Determine a so that a**3 - s*a**5 - 43*a**3 - 4*a - 22*a**2 + 7*a**4 - 41*a**4 = 0.
-1, -2/5, 0
Let y(m) be the third derivative of -m**7/280 + m**6/96 - m**5/240 - m**4/96 + 9*m**2. Determine d so that y(d) = 0.
-1/3, 0, 1
Suppose 0*y + 5*g + 11 = -2*y, 0 = 5*y - g - 13. What is x in -x + 0 + 9/2*x**3 - 7/2*x**y = 0?
-2/9, 0, 1
Let g(a) = -a**3 - a**2 + 2. Let q be g(0). Let o be 1/4*q*6. Factor -7*j**o - 2 - j**2 + 5*j**3 - 2*j + 7*j.
-(j - 1)*(j + 2)*(2*j - 1)
Solve -9/4*v - 1/2 - 7/4*v**2 = 0 for v.
-1, -2/7
Let p(x) be the third derivative of x**6/24 - x**5/6 + 5*x**4/24 + 54*x**2. Determine c so that p(c) = 0.
0, 1
Find r, given that 2*r**3 + r**4 + 6*r**4 - 6*r**3 - 9*r**4 = 0.
-2, 0
Let s = 103 - 103. Let v(h) be the second derivative of -3*h + 1/3*h**3 - 1/2*h**2 + s - 1/12*h**4. Solve v(n) = 0.
1
Let f(r) be the second derivative of r**5/180 - 2*r**3/9 + 8*r**2/9 - 16*r. Determine j, given that f(j) = 0.
-4, 2
Let h be (6/(-105)*3)/(9/(-1440)). Let -h*f**2 + 512/7*f**3 - 512/7*f**4 - 2/7 + 32/7*f = 0. What is f?
1/4
Let v(z) be the first derivative of -z**4/32 - z**3/8 - 8*z + 3. Let y(b) be the first derivative of v(b). Let y(h) = 0. Calculate h.
-2, 0
Let m(f) be the second derivative of -f**5/20 + f**4/3 - 2*f**3/3 + 3*f**2/2 + 2*f. Let k be m(2). Find l such that 3*l + 4 + 4*l**2 + l - k = 0.
-1/2
Let v be 3*(-4)/(-18) - 250/(-75). Let t(r) be the second derivative of 1/9*r**v + 0 - 1/30*r**5 + r + 0*r**3 - 1/45*r**6 + 0*r**2. Find u, given that t(u) = 0.
-2, 0, 1
Let w = 407 - 1627/4. Let -3/4*h**4 + 0 + h**3 - 1/2*h + w*h**2 = 0. What is h?
-2/3, 0, 1
Let s = -11/120 + 2/15. Let q(j) be the third derivative of 0*j**7 + 0*j - 1/90*j**6 + s*j**4 + 1/90*j**5 + 0 - 1/9*j**3 + 1/1008*j**8 + 2*j**2. Factor q(w).
(w - 1)**3*(w + 1)*(w + 2)/3
Let j(x) = x**2 - x. Let k be j(1). Let f(u) be the second derivative of 1/12*u**4 + k + 0*u**2 + 1/6*u**3 + 3*u. What is i in f(i) = 0?
-1, 0
What is z in 3/2 - 1/2*z**2 - z = 0?
-3, 1
Suppose -8*f + 2*z + 6 = -4*f, -4*z - 12 = -f. Let c be 22/21 + (-4)/(-14). Find i such that f + c*i + 2/3*i**2 = 0.
-2, 0
Let j(a) be the first derivative of 4*a**5/5 + 2*a**4 - 4*a**3/3 - 4*a**2 - 11. Suppose j(l) = 0. Calculate l.
-2, -1, 0, 1
Let u(l) be the third derivative of l**8/448 + l**7/140 - 3*l**6/160 - l**5/20 + l**4/8 + 4*l**2. Factor u(k).
3*k*(k - 1)**2*(k + 2)**2/4
Determine u, given that 1/2*u**2 - 1/4 + 1/4*u = 0.
-1, 1/2
Let z = 61617/44 - 1400. Let g = 7/11 - z. Solve -g*y**2 - 1/4*y + 1/4*y**3 + 1/4 = 0.
-1, 1
Suppose -3*s + 3*c = s + 34, 2*s + 2*c + 10 = 0. Let j be (-240)/s*(-4)/(-6). Solve -80/7*i**3 - 2/7*i**5 - 160/7*i - 20/7*i**4 - j*i**2 - 64/7 = 0.
-2
Let b(s) be the first derivative of 3*s**5/25 + 3*s**4/10 - 4*s**3/5 - 3*s**2/5 + 9*s/5 + 2. Find t such that b(t) = 0.
-3, -1, 1
Let a(o) be the first derivative of o**3/4 - 9*o**2/4 - 21*o/4 + 9. Suppose a(v) = 0. Calculate v.
-1, 7
Let m(f) = -7*f - 25. Let a be m(-4). Factor 4/3*v**4 - 28/9*v**a - 2*v + 32/9*v**2 + 4/9 - 2/9*v**5.
-2*(v - 2)*(v - 1)**4/9
Factor 1/9*k**2 - 1/3*k + 2/9.
(k - 2)*(k - 1)/9
Suppose 5*l = -4 - 1, -4 = 2*v + 4*l. Determine u, given that -3/4*u**2 + 3/2*u + v = 0.
0, 2
Let y(t) be the second derivative of -1/40*t**5 + 0*t**2 + 0 + 0*t**3 + 1/48*t**4 + 1/120*t**6 - 2*t. What is c in y(c) = 0?
0, 1
What is l in 6*l**2 + 25*l**4 + 4*l**5 - 3*l - 63*l**4 - l**5 + 32*l**4 = 0?
-1, 0, 1
Let q = -71/5 - -3028/15. Let t = -185 + q. Factor t*w - 8/3 - 2/3*w**2.
-2*(w - 2)**2/3
Let i be (0 - 0)/((-6)/(-3)). Let b(v) be the second derivative of 2/3*v**3 - 2*v + i + v**2 - 2/3*v**4 - 1/5*v**5 + 1/5*v**6. Factor b(j).
2*(j - 1)**2*(j + 1)*(3*j + 1)
Let g(y) be the first derivative of -2*y**3/33 + y**2/11 + 12*y/11 + 22. Solve g(u) = 0.
-2, 3
Determine q so that q + q**3 - 7*q**3 + 4*q**3 - 6*q**5 + 7*q**5 = 0.
-1, 0, 1
Factor -4*n**3 + 4*n + 4*n**2 + n**3 + 6*n**3 - 7*n**3 - 4*n**4.
-4*n*(n - 1)*(n + 1)**2
Let a(f) be the third derivative of f**9/15120 + f**8/5040 - f**7/7560 - f**6/1080 - f**4/8 + 6*f**2. Let l(i) be the second derivative of a(i). Factor l(v).
v*(v + 1)**2*(3*v - 2)/3
Suppose -n - 4*n + 10 = 0. Factor -5*d**n + d**2 - 8*d - 8 + 2*d**2.
-2*(d + 2)**2
Let p(s) be the second derivative of -s**7/140 + s**6/40 - s**5/40 - s**3/3 - 4*s. Let c(m) be the second derivative of p(m). Factor c(o).
-3*o*(o - 1)*(2*o - 1)
Let k = 92 + 9. Let s = k + -501/5. Let -6/5*b**3 - 2/5*b**2 + 0 + s*b = 0. What is b?
-1, 0, 2/3
What is x in -2/3*x - 1/3*x**2 + 0 = 0?
-2, 0
Let g = 12792 + -217528/17. Let u = -380/119 - g. Let 0 - 2/7*m**5 + 0*m**3 - u*m**4 + 2/7*m + 4/7*m**2 = 0. Calculate m.
-1, 0, 1
Let j(i) be the third derivative of -i**