 Suppose h(o) = 0. What is o?
-1, 0
Solve -1/5*b**3 + 4*b**2 - 20*b + 0 = 0.
0, 10
Determine b so that 12*b**3 - 5*b**2 - 24 + 8*b**2 - 30*b + 0*b**4 - 3*b**4 + 6*b**2 = 0.
-1, 2, 4
Suppose 0 = 5*u + 4*r - 2, 3*u - 6 = -u - r. Let -h**u + h + 1 - h**3 + 0*h**2 + 2*h - 2*h = 0. What is h?
-1, 1
Let j(w) be the third derivative of -w**8/63 + 4*w**7/105 + 7*w**6/360 - 23*w**5/180 + w**4/8 - w**3/18 - 6*w**2. Solve j(z) = 0.
-1, 1/4, 1
Let r(b) be the first derivative of 0*b**2 - 2/3*b**6 + 0*b + 2 + 5/2*b**4 + 4/3*b**3 + 2/5*b**5. Determine z so that r(z) = 0.
-1, -1/2, 0, 2
Let h(i) be the second derivative of i**6/1260 - i**5/210 + i**4/84 + 7*i**3/6 - 7*i. Let n(k) be the second derivative of h(k). Factor n(z).
2*(z - 1)**2/7
Let a(y) be the second derivative of -y**10/15120 - y**9/7560 + y**8/3360 + y**7/1260 + y**4/6 - 2*y. Let x(q) be the third derivative of a(q). Factor x(f).
-2*f**2*(f - 1)*(f + 1)**2
Let y(p) = -p**4 + p**3 + p**2 - p. Let c(o) = 8*o**4 + 7*o**3 - 32*o**2 + 11*o + 6. Let r(k) = c(k) - 4*y(k). Determine w, given that r(w) = 0.
-2, -1/4, 1
Let s = 2/69 + 1/230. Let d(y) be the second derivative of 0 + s*y**6 + 0*y**2 + 0*y**4 + 1/168*y**7 + 1/20*y**5 + 2*y + 0*y**3. Factor d(m).
m**3*(m + 2)**2/4
Let v = 1 - 0. Suppose g = -3*i + 1, -2*i - g + v = 2. Factor 3/2*h**3 - h**i - 3/2*h + 1.
(h - 1)*(h + 1)*(3*h - 2)/2
Let b(r) be the third derivative of 0 + r**2 + 1/12*r**4 - 1/40*r**6 - 1/60*r**5 + 0*r**3 + 0*r. Factor b(c).
-c*(c + 1)*(3*c - 2)
Let q(r) = 3 - 2*r**2 + 0*r**2 + 7*r**2 - 2*r. Let m(x) = -7*x - 4 - 3*x**2 - 3*x**2 + 9*x. Let c(n) = -3*m(n) - 4*q(n). Factor c(u).
-2*u*(u - 1)
Let l be (-5)/(-2) - 5/(-10). Suppose 0 = -4*p + l*y + 17, -p + y + 3 = -2. Factor -2/5*u**2 - 8/5*u**4 + 0*u + p*u**3 + 0.
-2*u**2*(u - 1)*(4*u - 1)/5
Let n(u) = u**3 - 5*u + 5. Let f be n(2). What is h in 2*h**5 + 2*h + 2*h**3 - 4*h**3 - f*h**3 + h**3 = 0?
-1, 0, 1
Let u(f) be the second derivative of -8*f**7/105 + f**6/15 - f**5/60 - 2*f**2 - 4*f. Let i(d) be the first derivative of u(d). Factor i(m).
-m**2*(4*m - 1)**2
Suppose o = -2*o + 18. Let b = -2 + o. Factor -1/3*g**b + 0 - g**2 + g**3 + 1/3*g.
-g*(g - 1)**3/3
Let g(p) be the third derivative of p**6/60 - p**5/30 - p**4/12 + p**3/3 + p**2. Factor g(q).
2*(q - 1)**2*(q + 1)
Let u(q) be the first derivative of q**5/210 - q**4/28 + 2*q**3/21 - 3*q**2 + 5. Let r(y) be the second derivative of u(y). Factor r(b).
2*(b - 2)*(b - 1)/7
Let n(g) be the first derivative of g**4/8 - 9*g**3/2 + 243*g**2/4 - 729*g/2 - 14. Factor n(r).
(r - 9)**3/2
Let c(t) be the second derivative of -t**7/13860 + 5*t**4/12 - 2*t. Let d(q) be the third derivative of c(q). Factor d(w).
-2*w**2/11
Let a(o) be the second derivative of -o**6/15 - o**5/5 - o**4/6 - o. Factor a(h).
-2*h**2*(h + 1)**2
Let p(t) be the second derivative of 5/24*t**3 - 1/8*t**2 + 0 - 9/80*t**5 - 1/16*t**4 - 6*t. Factor p(m).
-(m + 1)*(3*m - 1)**2/4
Factor 0*c + 5/2*c**3 - 5/2*c**4 + 5/2*c**2 + 0 - 5/2*c**5.
-5*c**2*(c - 1)*(c + 1)**2/2
Let d(y) = 3*y**2 - 33*y - 34. Let a be d(12). Factor 3*i**3 + 0 - 3/2*i**a + 0*i - 3/2*i**4.
-3*i**2*(i - 1)**2/2
Suppose -53*p = -61*p + 16. Determine o so that 4/3*o - p + 2/3*o**2 = 0.
-3, 1
Suppose -2*l + 3 = -3. Let u be (-1)/(-14)*6 + (-1275)/(-210). Find r such that u*r**2 - 11/2*r - 2*r**l + 1 = 0.
1/4, 1, 2
Let z(q) be the third derivative of 7*q**8/24 - 38*q**7/15 + 277*q**6/60 + 38*q**5/5 + 3*q**4 - 13*q**2. Factor z(t).
2*t*(t - 3)**2*(7*t + 2)**2
Let v(z) be the second derivative of 1/30*z**6 + 1/10*z**5 + 0*z**3 + 0*z**2 + z + 0 + 1/12*z**4. Find k, given that v(k) = 0.
-1, 0
Let q = -2 + 2. Let b be 6/15 + (-16)/(-80). Determine f so that b*f**2 + q - 6/5*f = 0.
0, 2
Let x be ((-2)/4)/((-11)/99). Let y = x + -25/6. Factor 1/3*g**2 - 2/3*g + y.
(g - 1)**2/3
Let x be (-7)/28 - 9/(-4). Let f(b) be the third derivative of 0*b**4 - 1/20*b**5 - 3/40*b**6 + 0*b + 0*b**3 - 3/70*b**7 + 0 - 1/112*b**8 - b**x. Factor f(q).
-3*q**2*(q + 1)**3
Let u be (-1 - 1)*(-98)/84. Let h(l) be the first derivative of -2 - u*l**3 - 9/2*l**2 - 2*l. Factor h(y).
-(y + 1)*(7*y + 2)
Let b(v) be the third derivative of -v**7/70 - v**6/5 - 3*v**5/4 + v**4 + 8*v**3 - 30*v**2. Factor b(u).
-3*(u - 1)*(u + 1)*(u + 4)**2
Let r(c) be the first derivative of c**3/3 + c**2 + 3*c/4 - 3. Let r(x) = 0. What is x?
-3/2, -1/2
Determine o, given that -2*o**2 + 0*o**2 - 10*o + 9*o + 2 + o**3 = 0.
-1, 1, 2
Let z(i) = -i + 4. Let s be (-2)/(-4)*6 - 1. Let v be z(s). Solve -1/6 + 1/3*u - 1/6*u**v = 0 for u.
1
Let g(v) be the third derivative of v**6/240 - v**5/120 - v**4/48 + v**3/12 + v**2. Factor g(u).
(u - 1)**2*(u + 1)/2
Factor -4/9*z**2 - 16/9 - 16/9*z.
-4*(z + 2)**2/9
Let w be ((-30)/4)/5 + (-27)/(-18). What is i in 0 + w*i + 2/3*i**2 = 0?
0
Let y(m) be the first derivative of -m**6/12 + 7*m**5/10 - 7*m**4/4 + m**3/3 + 15*m**2/4 - 9*m/2 - 22. Suppose y(z) = 0. Calculate z.
-1, 1, 3
Let o(u) be the second derivative of 2*u**7/21 + 2*u**6/15 - 4*u. Suppose o(q) = 0. What is q?
-1, 0
Let y(b) = 3*b**3 + b**2 + 6*b + 4. Let j(p) = 8*p**3 + 3*p**2 + 17*p + 11. Suppose o = -0*o - 4. Let h(m) = o*j(m) + 11*y(m). Factor h(f).
f*(f - 2)*(f + 1)
Let i(o) be the second derivative of 1/3*o**3 - 1/2*o**4 - 1/10*o**5 - 9*o + 3*o**2 + 0. Factor i(u).
-2*(u - 1)*(u + 1)*(u + 3)
Let c(u) be the first derivative of -2*u**5/25 - 2*u**4/5 - 2*u**3/3 - 2*u**2/5 + 11. Determine j, given that c(j) = 0.
-2, -1, 0
Let s(r) = 4*r**2 + 32*r + 67. Let n be -3 + 23 + (2 - 2). Let w(d) = -28*d**2 - 224*d - 468. Let j(i) = n*s(i) + 3*w(i). What is y in j(y) = 0?
-4
What is a in 10*a**3 - 3*a**5 - 4*a - 2*a**3 - 3*a**5 + 2*a**5 = 0?
-1, 0, 1
Let k(m) be the third derivative of m**6/144 - m**5/24 + 5*m**4/72 - 19*m**2. Let k(v) = 0. What is v?
0, 1, 2
Let a be 3*((-4)/(-6) + -2). Let y be a + (-80)/(-18) + 0. Find t, given that y*t**3 + 4/9*t**2 - 2/9*t - 2/9*t**5 - 2/9 - 2/9*t**4 = 0.
-1, 1
Suppose 0 = -b + 5*o, b + 2*b = 4*o. Let y(t) be the third derivative of 0*t**5 + b*t + 0 - 1/4*t**4 + 2*t**2 + 1/15*t**6 - 1/3*t**3. Factor y(n).
2*(n - 1)*(2*n + 1)**2
Factor 0 + 4/7*s + 2/7*s**2.
2*s*(s + 2)/7
Let x(z) = -z - 1. Let n be x(-5). Factor 4/7 - 2*t + 2/7*t**n + 18/7*t**2 - 10/7*t**3.
2*(t - 2)*(t - 1)**3/7
Let v be ((-3)/9)/((-2)/12). Factor -2*y**3 - y**4 + 3 - v + 2*y + y**3 - y**3.
-(y - 1)*(y + 1)**3
Let y be (297/90 - 3)/((-3)/(-64)). Factor -y*a**3 - 4/5*a**5 + 0*a - 16/5*a**2 + 0 - 4*a**4.
-4*a**2*(a + 1)*(a + 2)**2/5
Let p(w) be the first derivative of 0*w**2 + w - 2 + 1/3*w**3. Let c(o) = 3*o**2 + o + 6. Let m(b) = -c(b) + 4*p(b). Find f, given that m(f) = 0.
-1, 2
Let k be 0/(-1) - (-2)/3. Let u = 9 + -7. Factor -2/3*c**3 + k*c**4 + 0*c + 0 + 0*c**u.
2*c**3*(c - 1)/3
Let j(b) be the third derivative of b**6/540 + 2*b**5/45 + 4*b**4/9 - 7*b**3/6 + 2*b**2. Let g(k) be the first derivative of j(k). What is l in g(l) = 0?
-4
Let h(t) = t**2 - t - 1. Let r(x) = -3*x**2 - 20*x - 119. Let c(y) = 6*h(y) + 3*r(y). Suppose c(a) = 0. What is a?
-11
Let s(m) = m + 2. Let y be s(-2). Let n = -450 - -1352/3. Solve y*q**2 + 0 + n*q**3 + 0*q + 2/3*q**5 - 4/3*q**4 = 0 for q.
0, 1
Suppose -2 = 4*d - 18, 3*f - 3*d + 39 = 0. Let l(g) = g**2 + 10*g + 11. Let o be l(f). Factor 6/7*k + 2/7*k**3 + 2/7 + 6/7*k**o.
2*(k + 1)**3/7
Factor -2/9*w**4 + 0*w + 0 + 2/9*w**3 + 4/9*w**2.
-2*w**2*(w - 2)*(w + 1)/9
Let y(m) = -m**3 - 15*m**2 + 17*m + 18. Let f be y(-16). Let n(z) be the first derivative of 5/2*z**2 + 4/3*z**3 - 1 + 1/4*z**4 + f*z. What is j in n(j) = 0?
-2, -1
Find q, given that 0 + 0*q**3 + 26/5*q**2 - 2/5*q**4 + 24/5*q = 0.
-3, -1, 0, 4
Let m = -17 - -20. Let c be 3/6*2/m. Factor 0*x**2 + 0*x + c*x**4 - 1/3*x**3 + 0.
x**3*(x - 1)/3
Let n(j) = j**3 + j**2 - j + 2. Let s be n(0). What is r in 0*r**2 - s*r**2 + r**2 = 0?
0
Let b(m) be the second derivative of -m**7/42 - m**6/6 - 3*m**5/10 + m**4/6 + 7*m**3/6 + 3*m**2/2 - 26*m. Factor b(k).
-(k - 1)*(k + 1)**3*(k + 3)
Suppose 6 + 12*u - 21/2*u**3 - 3/2*u**5 + 3/2*u**2 - 15/2*u**4 = 0. What is u?
-2, -1, 1
Let r be 11/22*(0 - -1). Find j, given that 0 + 3/4*j**3 + 0*j - r*j**2 + 3*j**4 + 7/4*j**5 = 0.
-1, 0, 2/7
Let s = -4 - -6. Suppose 4 + 3 - 7 + s*x**5 - 2*x - 4*x**4 + 4*x**2 = 0. Calculate x.
-1, 0, 1
Let t(m) = -19