v + 1 - 86/9*v**3 - y*v**4 - 16/9*v**6. What is z in r(z) = 0?
-1, -1/4
Let s(d) be the first derivative of -d**6/15 - 6*d**5/25 - d**4/10 + 2*d**3/5 + 2*d**2/5 - 1. What is w in s(w) = 0?
-2, -1, 0, 1
Let i be 8 - (3 + -5 + 2). Let r be 3/(-4) + 22/i. Suppose 3/4*n**3 + 3/2*n**r + 0 + 3/4*n = 0. Calculate n.
-1, 0
Suppose 0 - 1/6*l**5 + 1/3*l**3 + 0*l + 0*l**2 - 1/6*l**4 = 0. What is l?
-2, 0, 1
Let c(t) be the third derivative of t**7/105 - t**6/12 + 3*t**5/10 - 7*t**4/12 + 2*t**3/3 - 4*t**2. Solve c(x) = 0.
1, 2
Let f be 6 + -12*(-5)/(-10). Let n(x) be the second derivative of 0 + 1/20*x**5 + 2*x + f*x**3 + 0*x**2 + 1/24*x**4 + 1/60*x**6. Factor n(m).
m**2*(m + 1)**2/2
Let j(u) be the second derivative of 3*u**5/40 - u**3 + 18*u. Factor j(h).
3*h*(h - 2)*(h + 2)/2
Let r(q) = -q**2 - 4*q + 2. Let t be r(-4). Suppose 3*s - 5*j - 4 = 0, -s - s + 4*j + t = 0. Determine w so that -2*w**2 + w**3 - w**3 + 2*w**s = 0.
0, 1
Let w(p) be the second derivative of 1/9*p**4 - 1/45*p**6 - 1/9*p**3 + 2*p + 1/15*p**5 - 1/63*p**7 + 0 - 1/3*p**2. Factor w(i).
-2*(i - 1)**2*(i + 1)**3/3
Suppose 8/11*n**2 + 0 + 2/11*n = 0. What is n?
-1/4, 0
Let g(f) = f**3 + 11*f**2 - 13*f. Let j be g(-12). Factor -s + s**2 - j + 12.
s*(s - 1)
Let k(z) be the third derivative of 1/60*z**6 - 4/105*z**7 + 0*z + 2/15*z**5 + z**2 - 1/12*z**4 + 0 + 0*z**3. Determine v, given that k(v) = 0.
-1, 0, 1/4, 1
Let p = -8 + 11. Let w(z) be the first derivative of 7/12*z**p + 5/8*z**2 - 1 - 1/2*z. Let w(n) = 0. What is n?
-1, 2/7
Let l(c) be the first derivative of -c**6/240 + c**5/40 - c**4/16 + c**3/12 - 3*c**2/2 + 7. Let w(h) be the second derivative of l(h). Factor w(u).
-(u - 1)**3/2
Let b(w) = w**3 + 9*w**2 + 7*w - 6. Let k be b(-8). Let z = k + -8/5. Let 0*l - z*l**5 + 4/5*l**4 + 0*l**2 - 2/5*l**3 + 0 = 0. Calculate l.
0, 1
Let f(y) = 2*y - 5. Let a(j) = j + 2*j**2 + 0*j**2 + 1 + j**2 - 4*j**2. Let k(i) = -3*a(i) - f(i). Let k(r) = 0. What is r?
2/3, 1
Let h(k) be the third derivative of -5*k**2 - 1/540*k**6 + 0*k**4 + 0*k + 1/270*k**5 + 0 - 1/945*k**7 + 0*k**3 + 1/1512*k**8. Factor h(x).
2*x**2*(x - 1)**2*(x + 1)/9
Let t(s) = -s**5 - s**4 - s**3 + 3*s**2 + 3*s + 3. Let k(n) = n**5 + n**3 - 2*n**2 - 2*n - 2. Let m(i) = 3*k(i) + 2*t(i). Find j, given that m(j) = 0.
0, 1
Suppose 75*q = 78*q - 24. Factor -3 + q*d - 16/3*d**2.
-(4*d - 3)**2/3
Let a be -1*(-4 + -1 + 5). Factor 0*z**2 - 3*z**4 - 9/2*z**5 - 1/2*z**3 + a + 0*z.
-z**3*(3*z + 1)**2/2
Let g(t) = 2*t - 5. Let n be g(4). Factor n*c**2 + 2*c**3 - 2*c**2 - c**3 - 3*c**4 + c**4.
-c**2*(c - 1)*(2*c + 1)
Let q(v) be the third derivative of -v**8/1512 + v**7/945 + v**6/180 - v**5/54 + v**4/54 - v**2. Factor q(m).
-2*m*(m - 1)**3*(m + 2)/9
Let l(r) be the second derivative of -1/50*r**6 + 0 + 1/20*r**4 + 1/30*r**3 - 2*r + 1/100*r**5 - 1/105*r**7 + 0*r**2. Find u, given that l(u) = 0.
-1, -1/2, 0, 1
Let s(d) be the first derivative of -d**4/10 + 2*d**3/5 + 22. Factor s(n).
-2*n**2*(n - 3)/5
Let y be (-6)/(1344/(-296)) - (-3)/(-4). Factor 2/7*g**2 + y*g + 0.
2*g*(g + 2)/7
Solve -45*x**3 - 3*x**4 - 44 - 225*x**2 - 375*x + 23 + 21 = 0 for x.
-5, 0
Let s(p) be the second derivative of -3*p**5/4 + 19*p**4/2 - 19*p**3/2 - 21*p**2 - 11*p. Suppose s(y) = 0. Calculate y.
-2/5, 1, 7
Let q(n) = 3*n**2 + 11*n + 8. Let u be q(-1). Factor 0*c**2 + 0 + u*c + 2/5*c**3 + 1/5*c**4.
c**3*(c + 2)/5
Determine p, given that 4 + 3*p**3 - 1 - 3*p - 3*p**2 + 0 = 0.
-1, 1
Let s(i) be the third derivative of i**6/360 - i**5/90 + i**4/72 + 2*i**2. Factor s(l).
l*(l - 1)**2/3
Let u(a) be the second derivative of -2*a**6/5 + 2*a**5/5 + a**4 - 4*a**3/3 + 14*a. Find m such that u(m) = 0.
-1, 0, 2/3, 1
Determine m, given that -23/7*m**3 + 1/7*m**4 + 24*m**2 - 320/7*m - 512/7 = 0.
-1, 8
Let t(r) be the first derivative of -4*r**4 + 4*r**3/3 - 15*r**2/2 + 16*r + 8. Let q(c) = -3*c**3 + c**2 - 3*c + 3. Let d(n) = -33*q(n) + 6*t(n). Factor d(w).
3*(w - 1)**3
Factor 25/4 - 15/2*j + 9/4*j**2.
(3*j - 5)**2/4
Let i(v) be the second derivative of v**9/2160 - v**8/3360 + v**4/3 - 2*v. Let j(w) be the third derivative of i(w). Determine g, given that j(g) = 0.
0, 2/7
Suppose 2*l = -4*k, -5*k = l - 1 - 2. Let d be ((-8)/(-10))/(l/(-5)). Determine y so that -2/5*y**4 + 0*y + 0 - 2/5*y**5 + 0*y**d + 0*y**3 = 0.
-1, 0
Let l = -6 + 14. Solve 24*o + 35*o**2 - 14*o**2 - 5*o + l*o + 6 = 0.
-1, -2/7
Let 2*h**4 - 32/7*h - 38/7*h**3 + 8/7 + 50/7*h**2 - 2/7*h**5 = 0. Calculate h.
1, 2
Let y(z) be the first derivative of z**6/6 - 9*z**5/5 + 36. Solve y(t) = 0 for t.
0, 9
Let v(g) be the first derivative of g**8/15120 + g**7/2520 + g**6/1080 + g**5/1080 + 4*g**3/3 - 6. Let j(b) be the third derivative of v(b). Factor j(w).
w*(w + 1)**3/9
Let a be (-16)/88 + (-262)/(-1320). Let l(m) be the third derivative of 0*m + 0*m**3 + 0 - m**2 + 1/150*m**5 + a*m**4. Find t such that l(t) = 0.
-1, 0
Let u(m) be the first derivative of 0*m + 0*m**4 + 0*m**2 + 0*m**3 - 2/5*m**5 - 3. Find g, given that u(g) = 0.
0
Let x(v) be the third derivative of 0*v + 1/10*v**5 + 0*v**3 + 0*v**4 + 1/70*v**7 + 3/40*v**6 + 4*v**2 + 0. Let x(l) = 0. What is l?
-2, -1, 0
Determine b so that 3/4*b**5 + 27/4*b + 21/2*b**3 - 12*b**2 - 9/2*b**4 - 3/2 = 0.
1, 2
Factor 8*h**4 - 4*h**4 - 5*h**2 + h**2.
4*h**2*(h - 1)*(h + 1)
Suppose 0 = -2*o - 46 + 6. Let x be (o/(-15))/((-2)/(-3)). Factor -x*t**3 + 5*t**5 - t**5 + 3*t**4 + t**3.
t**3*(t + 1)*(4*t - 1)
Factor -1/4*h**5 - h - 3*h**2 - 3/2*h**4 - 13/4*h**3 + 0.
-h*(h + 1)**2*(h + 2)**2/4
Suppose 0*m = -2*m. Suppose 4*i - 8 = -m. Find r such that i*r**2 - 2*r**4 + 0*r**3 + 4*r**3 + 4*r**4 = 0.
-1, 0
Let f(j) be the third derivative of -5*j**6/12 - 7*j**5/3 - 11*j**4/3 - 8*j**3/3 + 4*j**2. Find v such that f(v) = 0.
-2, -2/5
Let b(z) be the third derivative of -z**8/336 - z**7/105 - z**6/120 - 4*z**2. Factor b(p).
-p**3*(p + 1)**2
Let f(v) be the third derivative of v**7/1680 + v**6/320 + v**5/240 - 6*v**2. Factor f(t).
t**2*(t + 1)*(t + 2)/8
Let r(g) = 11*g**4 + g**3 - 8*g**2 + 2*g - 2. Let m(o) = -o**4 + o**3 + o**2 - o + 1. Let z(a) = -2*m(a) - r(a). Find n such that z(n) = 0.
-1, 0, 2/3
Let u be ((-11)/(-143))/(-1)*(1 - 7). Solve 6/13*w + 2/13*w**3 - 2/13 - u*w**2 = 0 for w.
1
Let a(y) be the third derivative of y**7/630 - y**6/360 - y**5/180 + y**4/72 + 8*y**2. Factor a(p).
p*(p - 1)**2*(p + 1)/3
What is l in 2/7*l - 26/7*l**2 + 12/7 - 10/7*l**3 + 6/7*l**4 = 0?
-1, 2/3, 3
Suppose 0 = 18*o - 36 - 0. Let y be 2/(-4) - (-1)/1. Factor o*v**2 + 5/2*v + y.
(v + 1)*(4*v + 1)/2
Let q(h) be the second derivative of -h**5/60 - h**2 - 2*h. Let c(t) be the first derivative of q(t). What is p in c(p) = 0?
0
Let m(v) be the first derivative of 2*v**3/27 + 14*v**2/9 + 98*v/9 - 18. Let m(f) = 0. What is f?
-7
Factor -128*f + 98/3*f**3 - 210*f**2 - 56/3.
2*(f - 7)*(7*f + 2)**2/3
Suppose 12 + 0 = -4*q, -4*r + 25 = -3*q. Factor -x**4 - 7*x**2 - 4*x - x**r + 13*x**2.
-2*x*(x - 1)**2*(x + 2)
Let l(r) be the third derivative of -r**8/6720 + r**7/1260 - r**6/720 - r**4/6 - 3*r**2. Let k(p) be the second derivative of l(p). Solve k(c) = 0 for c.
0, 1
Determine g, given that 1/3*g**2 + 2/3 - g = 0.
1, 2
Let p(t) be the first derivative of 3*t**4/20 - 9*t**2/10 + 6*t/5 - 6. Determine g so that p(g) = 0.
-2, 1
Let o(c) = c**3 + 12*c**2 + 10*c - 6. Let j be o(-11). Solve -8*x**2 + x**2 + j*x**2 = 0.
0
Let x(a) be the second derivative of 0 + 1/42*a**7 + 0*a**2 + 1/30*a**6 + 0*a**4 - 2*a + 0*a**5 + 0*a**3. Let x(y) = 0. Calculate y.
-1, 0
Suppose 2*m - m = 0. Let w be (((-12)/3)/(-20))/((-1)/(-2)). Factor -4/5*i**3 + m*i**2 - w + 4/5*i + 2/5*i**4.
2*(i - 1)**3*(i + 1)/5
Suppose -2*m - 2865 = -5*m. Suppose -205 + m = 5*k. Factor 0*g**2 + 220*g**4 - k*g**5 + 15*g**2 - 104*g**3 + g**2.
-2*g**2*(3*g - 2)*(5*g - 2)**2
Let 20 + l**4 - 20 + 4*l**3 - 2*l**3 = 0. Calculate l.
-2, 0
Let -2/11*q**2 - 24/11*q - 8/11 + 10/11*q**4 + 24/11*q**3 = 0. Calculate q.
-2, -1, -2/5, 1
Let a be (-10)/(-6) - (-10)/(-15). Factor -1 + a - 2*n**3.
-2*n**3
Let m(q) be the second derivative of -q**4/36 + 2*q**2/3 + 6*q. Let m(p) = 0. What is p?
-2, 2
Let s(r) = 3*r**2 - r**3 - 6*r + 2 - 8*r**2 - 2*r**2. Let j be s(-6). Let -4*t**2 - t**2 - 2*t - j*t**3 + t**2 = 0. What is t?
-1, 0
Let k = 4 + -1. Determine n so that k + n**3 + 3*n - 4