*u - 2/3.
2*(u - 1)*(5*u - 1)**2/3
Let j(i) be the second derivative of -i**6/30 + i**4/6 - i**2/2 - 7*i. Determine q, given that j(q) = 0.
-1, 1
Factor -6/5*z**2 + 0 + 12/5*z.
-6*z*(z - 2)/5
Let d(u) be the second derivative of u**7/21 - u**6/15 - u**5/5 + u**4/3 + u**3/3 - u**2 - 41*u. Let d(s) = 0. What is s?
-1, 1
Suppose 6*w + 3*f = w + 90, 41 = w - 4*f. Suppose 2*l - 21 + 0*l - l**2 + w = 0. Calculate l.
0, 2
Let k be 9 + (-2)/4*2. Find l, given that -2*l**2 + l + k*l - 2 - 3*l - 2*l = 0.
1
Let 0 + 0*s**2 + 0*s + 5/4*s**4 + 3/4*s**5 + 1/2*s**3 = 0. What is s?
-1, -2/3, 0
Let b be (124/(-144))/((-1)/2). Let s = b + -2/9. Let 6*d**4 + 1 + 2*d**3 - 7*d**2 - 7/2*d**5 + s*d = 0. Calculate d.
-1, -2/7, 1
Let r(d) be the second derivative of -d**8/84 + d**7/35 - d**5/30 - d**2 - 4*d. Let m(b) be the first derivative of r(b). Find s such that m(s) = 0.
-1/2, 0, 1
Let f = 441/506 - 15/46. Factor -4/11 - f*w - 2/11*w**2.
-2*(w + 1)*(w + 2)/11
Let d(w) be the first derivative of 6 + 0*w - 5/2*w**4 + 4*w**2 + 6/5*w**5 - 8/3*w**3. Let d(v) = 0. Calculate v.
-1, 0, 2/3, 2
Suppose -4*u - u + 11 = -2*f, 17 = f + 5*u. Factor 0*z**4 - 1/4*z**5 + 1/2*z**3 - 1/4*z + 0 + 0*z**f.
-z*(z - 1)**2*(z + 1)**2/4
Let o be (-5)/2*136/(-170). Find f such that o*f - 1/3*f**2 - 3 = 0.
3
Factor 0*s**4 - 3/4*s**5 + 0 + 0*s + 9/4*s**3 - 3/2*s**2.
-3*s**2*(s - 1)**2*(s + 2)/4
Let s(q) be the first derivative of -14*q**3/3 - 5*q**2 + 4*q - 2. Let s(p) = 0. Calculate p.
-1, 2/7
Let f = 19 + -13. Solve -7*h**2 - h + 0*h + 2 + f*h**2 = 0.
-2, 1
Let i(q) = -4 + 8 + 8*q**3 + 2 + 4*q**2. Let g(k) = -k**3 - k**2 - 1. Let d(f) = -6*g(f) - i(f). What is h in d(h) = 0?
0, 1
Let a be (-2)/5 - 384/(-60). Let j(g) be the second derivative of 0*g**3 + 1/100*g**5 + 1/150*g**a + 0*g**2 + 0 - 2*g - 1/210*g**7 - 1/60*g**4. Factor j(w).
-w**2*(w - 1)**2*(w + 1)/5
Let v(o) be the first derivative of o**5/20 - o**4/12 - o - 3. Let b(r) be the first derivative of v(r). Factor b(l).
l**2*(l - 1)
Let m(b) be the second derivative of b**7/42 + b**6/10 + b**5/10 - b**4/6 - b**3/2 - b**2/2 + 10*b. Find p, given that m(p) = 0.
-1, 1
Suppose 3*t = 3*x + 9, 5*t - x + 2 = 21. Suppose -2*h**3 + h**5 + 2*h**4 - 6*h**t + 3*h**4 = 0. Calculate h.
-1, 0, 2
Let l(k) be the second derivative of -k**4/20 - 2*k**3/5 - 6*k**2/5 - 2*k. Factor l(o).
-3*(o + 2)**2/5
Let n be 3*(0 - (-1)/1). Factor 2 - y**3 + 2*y**4 - y**n - 2*y**2 - 2*y - 2*y**2 - 2*y**5 + 6*y**3.
-2*(y - 1)**3*(y + 1)**2
Suppose -5*y = -5*n + 55, 4*n + y - 62 = -y. Let h = n + -14. Suppose h - 2/3*o**2 + 4/3*o = 0. What is o?
0, 2
Let x(r) = 22 + 40*r**3 - 41*r**3 - 4*r**2 + 8*r - 7. Let a be x(-5). Suppose -2/3*i**3 + 2/3*i**4 + 0 + a*i - 2/9*i**5 + 2/9*i**2 = 0. What is i?
0, 1
Let 24/5*l + 48/5 + 3/5*l**2 = 0. Calculate l.
-4
Find f such that -4*f**2 + 6*f**4 + 4*f**3 - 44*f + 40*f - 2*f**4 = 0.
-1, 0, 1
Factor 0*l - 6*l**3 + 0 + 3/4*l**2 + 12*l**4.
3*l**2*(4*l - 1)**2/4
Let m = -15 + 22. Let f = m + -7. Factor -p**4 + 4*p - 3*p**2 + 0 + f*p**4 - 4*p**3 + 4.
-(p - 1)*(p + 1)*(p + 2)**2
Suppose -128 = -3*o + 34. Find g, given that -3*g**3 - o*g + 54*g - 3*g**4 = 0.
-1, 0
Let k(c) be the third derivative of -1/30*c**6 - 4/15*c**5 + 0*c - 7/12*c**4 + 0 + 1/168*c**8 + c**2 + 2/105*c**7 - 2/3*c**3. Solve k(v) = 0.
-1, 2
Let p(z) be the third derivative of z**5/60 + z**4/24 - z**3/3 + 5*z**2. Solve p(w) = 0.
-2, 1
Factor 5/3 + 1/3*d**2 - 2*d.
(d - 5)*(d - 1)/3
Let t = -42 + 42. Let c(s) be the second derivative of 1/8*s**2 + 1/80*s**5 + t - 1/24*s**3 + 3*s - 1/48*s**4. Let c(v) = 0. What is v?
-1, 1
Let k(g) be the second derivative of g**7/252 + g**6/45 + g**5/24 + g**4/36 - 16*g. Factor k(i).
i**2*(i + 1)**2*(i + 2)/6
Let l(g) be the first derivative of 5*g**3/3 + 15*g**2/2 + 10*g + 17. Determine o, given that l(o) = 0.
-2, -1
Factor 0 - 3/8*q**2 + 15/8*q.
-3*q*(q - 5)/8
Let t be ((-84)/(-77))/((-10)/(-11)). Factor -2*f**2 + 0 + 14/5*f**3 - t*f**4 + 2/5*f.
-2*f*(f - 1)**2*(3*f - 1)/5
Let g(a) be the third derivative of -a**7/840 + 11*a**6/2160 - a**5/180 + a**4/12 - 2*a**2. Let u(y) be the second derivative of g(y). Factor u(q).
-(q - 1)*(9*q - 2)/3
Let p(v) = -v + 1. Let l be p(2). Let h be l - (-9)/(-3)*-1. Solve 0 + 1/2*a + 0*a**h - 1/2*a**3 = 0.
-1, 0, 1
Let m(t) be the first derivative of t**7/30 + 19*t**6/120 + t**5/4 + t**4/24 - t**3/3 + 7*t**2/2 - 7. Let o(f) be the second derivative of m(f). Factor o(g).
(g + 1)**3*(7*g - 2)
Let n(s) be the second derivative of -s**5/20 - s**4/4 - s**3/3 - 6*s. Solve n(g) = 0 for g.
-2, -1, 0
Let x(t) be the third derivative of -4*t**2 + 0 + 1/180*t**5 + 0*t**4 - 1/630*t**7 + 0*t**3 + 0*t**6 + 0*t. Find u such that x(u) = 0.
-1, 0, 1
Let q be 0*3/6*(1 + 1). Let v = 0 + 0. What is s in -1/4*s**2 + v + q*s = 0?
0
Let -9 - 33*u - 9*u**3 - 3 + 0*u**3 + 57*u**2 - 3*u**3 = 0. What is u?
-1/4, 1, 4
Let x = 0 - -6. Let f(r) be the second derivative of -1/6*r**3 + 1/6*r**2 - 1/30*r**x + 2*r + 1/30*r**5 + 0 + 1/18*r**4 + 1/126*r**7. Factor f(y).
(y - 1)**4*(y + 1)/3
Let y(n) be the second derivative of 0*n**2 - 1/36*n**4 + n + 0 + 1/18*n**3. Factor y(s).
-s*(s - 1)/3
Let d = 1 - -1. Suppose -k - 8 = -5*k. Factor -3*f**2 + 2 - k*f**2 + 5*f**d + 8*f + 8*f**2.
2*(2*f + 1)**2
Suppose 2*n - 1 = a, 2*n + 0*a + 11 = 5*a. Suppose -2*q = -3 - 1. Determine z so that n*z**5 - q*z**4 - 2*z**4 + 4*z**4 - 2*z**3 = 0.
-1, 0, 1
Let q = -799/9 - -89. Factor 0 + 0*g + 2/9*g**4 + 2/9*g**5 - q*g**2 - 2/9*g**3.
2*g**2*(g - 1)*(g + 1)**2/9
Let z be (-9)/(2 + 1) - -29. Suppose -r + z = r. Factor -9*t - r*t**2 + 3*t + 3 + 16*t**2.
3*(t - 1)**2
Let o(c) be the second derivative of -14/3*c**3 + 49/12*c**4 - c + 0 + 2*c**2. Find b, given that o(b) = 0.
2/7
Let l(o) = -9*o**3 - 3*o**2 - 5*o - 5. Let x(g) = -14*g**3 - 4*g**2 - 8*g - 8. Let a(v) = -8*l(v) + 5*x(v). What is t in a(t) = 0?
-2, 0
Let o(t) = -3*t - 3. Suppose -4*l - 16 = 4*p, l + 2 = -0*l. Let i be o(p). Find c such that 2/9 - 4/9*c**i + 4/9*c + 0*c**2 - 2/9*c**4 = 0.
-1, 1
Factor -2/9*n - 10/9*n**3 + 0 - 8/9*n**2 - 4/9*n**4.
-2*n*(n + 1)**2*(2*n + 1)/9
Let k(l) be the second derivative of 0*l**2 - 1/180*l**6 + 2*l + 0 + 1/40*l**5 - 1/252*l**7 + 5/72*l**4 + 1/18*l**3. Factor k(v).
-v*(v - 2)*(v + 1)**3/6
Let a = -792 - -7138/9. Find b, given that 4/3 + 34/9*b + a*b**2 = 0.
-3, -2/5
Let x = 35 + -32. Let u = 1/313 - -615/3443. Factor 0*i**x + 4/11*i**2 + 0 + u*i - 4/11*i**4 - 2/11*i**5.
-2*i*(i - 1)*(i + 1)**3/11
Let u = 10 + -9. Let x be (-1 + 3)*u/5. Find h such that 4/5*h + 0 + x*h**2 = 0.
-2, 0
Let a = 46 - 504/11. Solve 4/11 + 2/11*q - a*q**2 = 0 for q.
-1, 2
Suppose -1 = 2*h - 9. Suppose 0 = -2*b + h*b. Factor 2*i + 5*i**3 + b*i - 3*i**3 + 2*i**2 - 2 - 4*i.
2*(i - 1)*(i + 1)**2
Let g = -33/5 - -7. Let c(k) be the first derivative of -2 - 2/3*k**3 + g*k**5 + 0*k + 1/2*k**4 - 1/3*k**6 + 0*k**2. Factor c(n).
-2*n**2*(n - 1)**2*(n + 1)
Let s(r) be the second derivative of -r**7/210 + r**6/60 - r**5/60 - 3*r**2/2 - r. Let z(p) be the first derivative of s(p). Let z(y) = 0. Calculate y.
0, 1
Let d(h) be the first derivative of 0*h**2 - 2 - h + 1/3*h**3. Suppose d(q) = 0. What is q?
-1, 1
Let g(w) be the second derivative of 0*w**2 + 0 + 0*w**4 + 1/10*w**5 + 4*w - 1/3*w**3. What is b in g(b) = 0?
-1, 0, 1
Let u(p) = 2*p**2 - 4*p - 8. Let m(f) be the second derivative of f**3/6 - 5*f. Let i(h) = 4*m(h) + u(h). Factor i(g).
2*(g - 2)*(g + 2)
Let f(x) be the first derivative of x**6/27 + 4*x**5/9 + 20*x**4/9 + 160*x**3/27 + 80*x**2/9 + 64*x/9 + 19. Let f(r) = 0. Calculate r.
-2
Let z(h) = 5*h**2 + 4*h + 5. Suppose -2*k + 3*n = 2, -4*k + k - 1 = -4*n. Let w(j) = 4*j**2 + 3*j + 4. Let q(p) = k*z(p) - 6*w(p). Solve q(o) = 0.
-1
Let x(q) be the second derivative of -q**6/720 - q**5/240 + q**4/24 - q**3/6 - 2*q. Let t(c) be the second derivative of x(c). Suppose t(a) = 0. What is a?
-2, 1
Let r(q) = -1. Let i(m) = m**2 + 12*m + 43. Let f(y) = 4*i(y) + 28*r(y). Let f(t) = 0. What is t?
-6
Let k(v) = 37*v**4 + 72*v**3 - 61*v**2 - 67*v + 29. Let s(o) = 129*o**4 + 252*o**3 - 213*o**2 - 234*o + 102. Let r(d) = -18*k(d) + 5*s(d). Solve r(t) = 0 for t.
-2, -1, 2/7, 1
Suppose -5*i + i = -16. Let t(r) be the second derivative of 1/12*r**i + 1/20*r**5 + 0*r**3 + 0*r**2 + 0 - 3*r. Factor t(p).
p**2*(p