= 42*w**4 - 20*w**3 - 42*w**2 + 12*w - 8. Let b(j) = 5*h(j) + 8*m(j). Suppose b(t) = 0. Calculate t.
-1, 0, 2/7, 1
Let l(s) be the second derivative of -3*s**5/80 - 3*s**4/16 + 3*s**2/2 - 17*s. Solve l(z) = 0.
-2, 1
Let y(u) be the third derivative of u**7/840 - u**6/480 - u**5/80 + 5*u**4/96 - u**3/12 - 6*u**2. Factor y(m).
(m - 1)**3*(m + 2)/4
Let y be (-156)/27*33/40. Let n = 31/6 + y. Factor -2/5*k + 0 - n*k**2.
-2*k*(k + 1)/5
Let z(n) be the second derivative of n**7/3360 - n**6/1440 + 2*n**3/3 - 4*n. Let t(u) be the second derivative of z(u). Suppose t(g) = 0. Calculate g.
0, 1
Suppose -2 = m + x, 3*m - 15 = 2*x + 2*x. Let g be (1 + -1)/2*m. Suppose -1/4 + g*h + 1/4*h**2 = 0. Calculate h.
-1, 1
Suppose -s + 3 = d + s, -3*d - 5*s + 10 = 0. Suppose -g = -d*u + 6, 4*u - 3*g + 2*g - 4 = 0. Solve 0*h**2 + 2 - h + 2*h - h**3 - u*h**2 = 0.
-2, -1, 1
Let i = -10 + 12. Determine p so that 2 - p**4 - 2*p**4 - 3*p**i - 2 + 6*p**3 = 0.
0, 1
Let p(a) = -a**2. Let k(z) = z**2 - 6*z - 10. Let j = -16 - -24. Let c be k(j). Let o(q) = -7*q**2 + q. Let x(h) = c*p(h) - o(h). Factor x(n).
n*(n - 1)
Let h(g) be the second derivative of 2*g**6/15 - 2*g**5/5 - g**4 + 8*g**3/3 + 8*g**2 - 16*g. Factor h(x).
4*(x - 2)**2*(x + 1)**2
Suppose -36*a = -40*a. Let 2/13*y + 2/13*y**2 + a = 0. What is y?
-1, 0
Let h(t) be the first derivative of 4*t**3/3 + 4*t**2 + 4*t + 8. What is y in h(y) = 0?
-1
Suppose 1 = -4*y + 17. Let u be (y/(-24))/((-1)/2). Factor u + 0*p - 1/3*p**2.
-(p - 1)*(p + 1)/3
Let k(x) be the second derivative of 1/40*x**5 + 0 - 1/48*x**4 + 0*x**2 - 2*x - 1/120*x**6 + 0*x**3. Factor k(m).
-m**2*(m - 1)**2/4
Let j(m) be the first derivative of -m**4/22 - 2*m**3/11 - 2*m**2/11 + 23. Find w such that j(w) = 0.
-2, -1, 0
Solve w**2 - 2*w + 0*w**2 + 0*w**2 + 4*w**2 = 0.
0, 2/5
Let n be (-12)/((3/(-2))/3). Let m = n + -14. Find b, given that -m*b**3 + 12*b**4 - 19*b**2 + b**2 + 6*b**4 - 4*b + 14*b**5 = 0.
-1, -2/7, 0, 1
Let u(n) = 16*n**5 + 32*n**4 + 12*n**3 - 26*n**2 - 30*n + 4. Let m(t) = t**4 - t**3 - t**2 + t - 1. Let c(w) = 8*m(w) + u(w). Determine f, given that c(f) = 0.
-2, -1/2, 1
Suppose -3*r = -6, 4*f - 4 = r + 2. Let a be ((-5)/45)/(f/(-12)). Let 0 - a*x + 4/3*x**2 - 2/3*x**3 = 0. What is x?
0, 1
Suppose -3*f = m + 2, 1 = 4*m + 2*f - 11. Find i, given that 4*i**4 - 4*i**4 + m*i**2 - 4*i**4 + i - i**3 = 0.
-1, -1/4, 0, 1
Let o(d) be the first derivative of -d**4/2 - 2*d**3 - 11. What is t in o(t) = 0?
-3, 0
Let q(p) be the second derivative of -p**6/10 + 3*p**5/10 + 3*p**4/4 - 2*p**3 - 6*p**2 - 12*p. Let q(s) = 0. What is s?
-1, 2
Let m(i) be the first derivative of -i**4/8 + 3*i**2/4 - i + 12. Factor m(k).
-(k - 1)**2*(k + 2)/2
Let z(p) be the second derivative of p**6/60 + p**5/10 + p**4/4 + p**3/3 + p**2/4 - 12*p. Determine n so that z(n) = 0.
-1
Let g = -7 + 11. Factor -10*s + 32*s**2 + 2 - g*s - 4*s + 2*s.
2*(4*s - 1)**2
Let w(c) be the second derivative of 0*c**4 + 1/30*c**6 + 0 + 1/3*c**3 - 1/2*c**2 + 2*c - 1/10*c**5. Determine k, given that w(k) = 0.
-1, 1
Let c(y) be the third derivative of y**7/280 - y**5/40 + y**3/8 - 9*y**2. Determine j, given that c(j) = 0.
-1, 1
Let v(i) = -2*i + 9. Let u be v(2). Let b(k) be the third derivative of k**2 + 0*k - 3/10*k**u - k**4 - 4/3*k**3 + 0 - 1/30*k**6. Determine l so that b(l) = 0.
-2, -1/2
Let m be 4 + (-12)/(-3) - 1. Let z(k) be the second derivative of -3*k - 1/147*k**m + 0*k**3 + 0 - 1/42*k**4 + 0*k**2 - 1/35*k**6 - 3/70*k**5. Factor z(s).
-2*s**2*(s + 1)**3/7
Let b(h) be the second derivative of -1/105*h**7 - 2*h + 1/25*h**5 - 2/75*h**6 - 2/5*h**2 - 1/15*h**3 + 0 + 2/15*h**4. Let b(w) = 0. Calculate w.
-2, -1, 1
Let k(o) = -o**2 - 10*o + 1. Let u be k(-11). Let l be u/(-3) + (-3 - 0). Factor -1/3*g**3 - l*g + 2/3*g**2 + 0.
-g*(g - 1)**2/3
Let k(j) be the first derivative of -2*j**2 - 2 - 7/3*j**3 - 1/15*j**6 - 1/2*j**5 - 3/2*j**4 - 2*j. Let p(v) be the first derivative of k(v). Solve p(n) = 0.
-2, -1
Let h(i) be the third derivative of 0*i - 3*i**2 - 1/24*i**4 - 1/180*i**5 - 1/9*i**3 + 0. Factor h(a).
-(a + 1)*(a + 2)/3
Let m(u) = -3*u**2 - 8*u - 5. Let l(w) be the first derivative of -w**3 - 9*w**2/2 - 6*w - 2. Let t(s) = -5*l(s) + 6*m(s). Factor t(p).
-3*p*(p + 1)
Let t be ((-9)/(-2))/1*34/51. Let u(r) be the second derivative of 1/6*r**4 + t*r - 2/15*r**3 - 2/25*r**5 + 0 + 1/75*r**6 + 0*r**2. Factor u(y).
2*y*(y - 2)*(y - 1)**2/5
Suppose -4*k - 3*l + 10 = 0, -6 = -3*k - 3*l - 0*l. Factor -2*p**2 - 1 + 4*p**2 - 14*p**4 + 13*p**k.
-(p - 1)**2*(p + 1)**2
Let c be (20/(-70) - 0) + (-60)/(-14). Factor 1/2*i**5 + 0*i**c + 0*i**2 + 1/2*i - i**3 + 0.
i*(i - 1)**2*(i + 1)**2/2
Suppose 115 = 5*i + 3*j, -2*j - j - 45 = -3*i. Suppose -7*f + 2*f + 5*d + i = 0, 0 = 5*d + 5. Factor 2*u**4 + 8*u**2 - 2*u**3 - 5*u**f - u**3.
2*u**2*(u - 2)**2
Let f(g) be the second derivative of g**4/24 - g**3/24 - g**2/8 + 7*g. Factor f(t).
(t - 1)*(2*t + 1)/4
Factor -4/5*c**3 - 2/5*c**4 + 0*c + 0 - 2/5*c**2.
-2*c**2*(c + 1)**2/5
Factor -54/5*o + 243/5 + 3/5*o**2.
3*(o - 9)**2/5
Let n(m) be the second derivative of -m**7/840 + m**6/480 - 2*m**2 - 2*m. Let z(a) be the first derivative of n(a). Determine d so that z(d) = 0.
0, 1
Let 2 - 3*x**3 + 6*x**2 + 2*x + 0*x + x**3 - 8*x = 0. Calculate x.
1
Let n = -1/3 - -8/15. Find l such that n*l**2 + 0 + 2/5*l = 0.
-2, 0
Let b be 50/(-14) + 3/(-7). Let k be b/6*4/(-8). What is w in -1/3*w**2 - 2/3*w + k*w**3 + 0 = 0?
-1, 0, 2
Let w = -5 + 6. Let p be (w/(-2))/(2/(-8)). Determine y so that -2*y - 2 + 0*y**4 + 6*y**4 + 2*y**3 + 2*y**5 - 4*y - 4*y**2 + p*y**3 = 0.
-1, 1
Let t(k) be the first derivative of k**4/4 - 16*k**3/3 + 77*k**2/2 - 98*k + 41. Factor t(h).
(h - 7)**2*(h - 2)
Let p = -196 - -385/2. Let z = -3 - p. What is w in 0*w + w**2 - z*w**4 - 1/2 + 0*w**3 = 0?
-1, 1
Find w, given that 0 - 1/2*w**2 - 3/2*w = 0.
-3, 0
Let u(a) be the first derivative of 5*a**3/9 - 5*a/3 - 5. Factor u(q).
5*(q - 1)*(q + 1)/3
Factor 0*a**4 + 4*a**3 - 2*a**4 + 8*a**2 - 3*a**2 - 3*a**2 - 4*a.
-2*a*(a - 2)*(a - 1)*(a + 1)
Suppose 0 - 1/4*s**4 - 3/4*s**3 + 1/2*s**5 + 1/4*s + 1/4*s**2 = 0. What is s?
-1, -1/2, 0, 1
Suppose 5*y + 3 = -4*x - 2, 0 = 5*y - x + 5. Let q = y - -5. Solve -d**2 + 2*d**3 + d**q + 0*d**4 - 2*d**4 = 0 for d.
0, 1
Let k(p) = p**2 + 8*p. Let t be k(-8). Suppose -2*q - 2*d + 10 = t, 0*q - 4*d - 4 = -2*q. Factor 2/9*l**3 + 4/9*l**q + 0 + 0*l + 2/9*l**5 + 0*l**2.
2*l**3*(l + 1)**2/9
Factor -9/4*u**2 + 3/4*u**3 - 3/4*u + 9/4.
3*(u - 3)*(u - 1)*(u + 1)/4
Suppose 0*m - 2 = -m. Determine w so that -4 + 3*w**2 - w - 2*w**2 + 0*w**m + 2 = 0.
-1, 2
Suppose 2*u - 3 = r - 19, -4*r = -u - 50. Solve 16*q**2 - r*q**3 - 39*q**4 + 8*q**2 - 15*q**5 - 12*q**2 = 0 for q.
-2, -1, 0, 2/5
Suppose -f - i - 8 = 3*i, 4*i + 4 = -2*f. Let u = f + -2. Factor -4*a**2 + 4*a**2 - a**u + a.
-a*(a - 1)
Let c(l) be the second derivative of 0 - 2*l - 2*l**3 - 6*l**2 - 1/4*l**4. Factor c(a).
-3*(a + 2)**2
Let n(q) be the second derivative of 5*q**4/48 - 3*q**3/4 - q**2 - 4*q. Suppose n(z) = 0. Calculate z.
-2/5, 4
Let j(o) be the first derivative of -1/16*o**2 + 1/32*o**4 - 7 + 1/24*o**3 - 1/40*o**5 + 0*o. Factor j(u).
-u*(u - 1)**2*(u + 1)/8
Suppose 8 = 10*a - 6*a. Let t(p) be the second derivative of p - 1/63*p**7 + 1/27*p**3 - 11/135*p**6 + 0 + 1/9*p**a - 1/9*p**4 - 7/45*p**5. Factor t(f).
-2*(f + 1)**4*(3*f - 1)/9
Let k(z) be the second derivative of z**7/14 - 3*z**6/10 + 3*z**5/10 - 37*z. Factor k(s).
3*s**3*(s - 2)*(s - 1)
Let o(f) = f**3 + 2*f**2 - f. Let y be o(-2). Suppose 4 + 0 = y*z. Factor 1/2 - 1/4*h**4 - 1/4*h**3 + 5/4*h + 3/4*h**z.
-(h - 2)*(h + 1)**3/4
Let q(u) be the first derivative of u**8/672 + u**7/210 - u**6/80 - u**5/30 + u**4/12 - 3*u**2/2 - 1. Let i(b) be the second derivative of q(b). Factor i(z).
z*(z - 1)**2*(z + 2)**2/2
Let u(x) be the first derivative of 3*x**5/5 - 15*x**4/4 + 7*x**3 - 9*x**2/2 + 50. Factor u(t).
3*t*(t - 3)*(t - 1)**2
Solve 8/5*m**2 - 2/5*m**5 - 12/5*m**3 - 2/5*m + 8/5*m**4 + 0 = 0.
0, 1
Let y = -2 - -3. Suppose 5*r - 11 + y = 0. Find f such that 4*f - f**r + 0*f - f**2 = 0.
0, 2
Let r = 12 - 8. Let i(j) be the second derivative of 0 - 1/6*j**r + 2/3*j**3 + 3*j + 0*j**2. Factor i(m).
-2*m*(m - 2)
Let i(s) be the third derivative of s**8/168 - s**6/60 - 16*s**2. S