y**2 + 18/5*y - 6/5*y**3 + 27/5*y**4 - 12/5*y**5 = 0. What is y?
-1, 1/4, 1
Let w(c) be the second derivative of c**6/10 - 5*c**4/4 + 6*c**2 + 26*c. Solve w(d) = 0.
-2, -1, 1, 2
Let z be ((-66)/77)/(4/(-14)). Let b(y) be the first derivative of -2/3*y**4 - 4/3*y**z + 8/15*y**5 + 1/3*y**2 + 4/3*y + 1/3*y**6 + 1. Let b(w) = 0. What is w?
-1, 2/3, 1
Let w(j) = -15*j**4 + 19*j**3 + 11*j**2 - 19*j + 4. Let z(c) = 31*c**4 - 39*c**3 - 23*c**2 + 39*c - 8. Let r(t) = 7*w(t) + 3*z(t). Let r(u) = 0. What is u?
-1, 1/3, 1
Let z be 2395/(-60) - 1/3. Let g = -40 - z. Solve -g*t + 0 + 1/4*t**2 = 0 for t.
0, 1
Let r be ((-16)/(3 - -1))/(-2). Factor -2*b**3 - 6*b**2 + r*b**2 + 4 - 5*b + 4*b + 3*b.
-2*(b - 1)*(b + 1)*(b + 2)
Suppose 22*j**2 - 43*j**2 + 25*j**2 + 4*j = 0. What is j?
-1, 0
What is q in 0 + 0*q**2 + 0*q + 0*q**3 + 1/4*q**5 - 1/2*q**4 = 0?
0, 2
Let n(m) be the first derivative of 3*m**5/10 - 9*m**4/8 + m**3/2 + 9*m**2/4 - 3*m + 8. Factor n(y).
3*(y - 2)*(y - 1)**2*(y + 1)/2
Let c(k) be the second derivative of k**7/5040 + k**6/720 + k**5/240 + k**4/4 + k. Let q(v) be the third derivative of c(v). Determine z, given that q(z) = 0.
-1
Let f(o) be the first derivative of o**4/18 + 4*o**3/27 - o**2/3 - 12. Solve f(m) = 0.
-3, 0, 1
Let r(z) = 2*z**2 + 2*z - 1. Let s = 1 + -4. Let q be r(s). Let -3*c**2 + 13 - q + 2*c**2 - c**2 = 0. Calculate c.
-1, 1
Let b(q) = -5*q**5 + 13*q**4 - 5*q**3 - 13*q**2 + 10*q + 4. Let c(h) = -h**4 - h**3 + h**2 + h + 1. Let u(y) = -5*b(y) + 20*c(y). Solve u(v) = 0 for v.
-1, 0, 2/5, 1, 3
Let j(x) be the second derivative of -x**5/100 + x**4/30 + x**3/30 - x**2/5 - 7*x. Factor j(z).
-(z - 2)*(z - 1)*(z + 1)/5
Let p be ((-10)/(-15))/((-1)/(-3)). Suppose 3*y - p = 4. Factor 0*r + 0 - 2/7*r**y - 2/7*r**3.
-2*r**2*(r + 1)/7
Let b(a) be the second derivative of a**4/12 - a**3/3 - 3*a**2/2 + 5*a. Factor b(r).
(r - 3)*(r + 1)
Let j(z) be the third derivative of z**8/1848 - z**7/385 + z**6/330 - 2*z**2. Determine c, given that j(c) = 0.
0, 1, 2
Factor 16*u**3 + 3*u + 1/4 + 12*u**2.
(4*u + 1)**3/4
Suppose -2*m = -4*g - 32, -2 - 6 = g + 2*m. Let o = g - -11. Factor o*z**4 + 3*z**4 + 6*z**3 + 14*z**2 + 4*z + 7*z**3 + 3*z**3.
2*z*(z + 1)**2*(3*z + 2)
Let m(y) be the second derivative of 2*y - 1/6*y**3 - y**2 + 1/16*y**4 + 0 - 1/120*y**5. Let x(h) be the first derivative of m(h). Find j, given that x(j) = 0.
1, 2
Let i = -234/11 - -32303/1518. Let l = i - -1723/276. Find m, given that l*m**3 + 5/4*m**2 - 4*m + 1 = 0.
-1, 2/5
Let q(t) = -20*t**2 - 5*t - 5. Let v(h) = h**3 - h**2 + h - 1. Let i(a) = -q(a) + 5*v(a). Suppose i(p) = 0. What is p?
-2, -1, 0
Let c(y) = -16*y**2 - 27*y - 11. Let h(f) = f + 8. Let r be h(-4). Let k(z) = 8*z**2 + 14*z + 6. Let d(p) = r*c(p) + 7*k(p). Factor d(v).
-2*(v + 1)*(4*v + 1)
Let p be (3 + 15/(-4))*-4. Factor -p*h + 4 + 5*h**2 - 5 - h**2.
(h - 1)*(4*h + 1)
Let t(x) = 3*x**2 - 6*x + 4*x**3 - x**2 + x**2. Let d(v) = -v**3 - v**2 + v. Let h(l) = -5*d(l) - t(l). Let h(y) = 0. Calculate y.
-1, 0
Let j(f) be the first derivative of f**4/4 + 5*f**3/3 + f**2/2 + 5*f - 5. Let x be j(-5). Suppose -2/3*w**4 + 0*w - 4/3*w**3 + x*w**2 + 0 = 0. What is w?
-2, 0
Let m(k) be the first derivative of k**4/8 + k**3/6 - 5*k**2/4 + 3*k/2 - 7. Factor m(l).
(l - 1)**2*(l + 3)/2
Determine o, given that 2/17 + 2/17*o**3 - 2/17*o - 2/17*o**2 = 0.
-1, 1
Let u = -88 - -90. Find x, given that -2/3 - 2*x**u - 8/3*x = 0.
-1, -1/3
Let b be 3/(-2) + 28/8. Let h = 6/5 - 19/20. Find k such that -b*k - 19/4*k**2 - 3*k**3 - h = 0.
-1, -1/3, -1/4
Suppose 1/2*a**2 + 0 - 1/4*a**3 - 1/4*a = 0. Calculate a.
0, 1
Suppose 0 = 2*c + 3*c - 5*s - 15, 0 = 2*c + 5*s + 1. Suppose -c*f**3 - 16/3*f - 19/3*f**2 - 4/3 = 0. Calculate f.
-2, -2/3, -1/2
Suppose 5*n - 2*x - 5 = 7, -4*n - 3*x + 5 = 0. Factor -o**2 - o + 6*o**2 + o**2 - 7*o**n.
-o*(o + 1)
Let a(w) be the second derivative of 1/3*w**2 + 0 - 1/9*w**3 - 2*w + 1/72*w**4. Factor a(m).
(m - 2)**2/6
Let t = 373/12 - 31. Let n(s) be the second derivative of -1/84*s**7 - 1/4*s**2 - 4*s - 1/60*s**6 - t*s**3 + 1/20*s**5 + 1/12*s**4 + 0. Factor n(i).
-(i - 1)**2*(i + 1)**3/2
Let t(q) be the first derivative of 0*q + 1/9*q**3 - 1/90*q**5 + q**2 + 2 + 0*q**4. Let y(o) be the second derivative of t(o). Factor y(u).
-2*(u - 1)*(u + 1)/3
Let s(b) be the third derivative of 0 + 6*b**2 - 1/30*b**3 - 1/420*b**8 - 1/1050*b**7 - 1/30*b**4 + 1/75*b**6 + 1/150*b**5 + 0*b. Suppose s(f) = 0. What is f?
-1, -1/4, 1
Let s(a) be the third derivative of 0*a + 7*a**2 + 0*a**3 + 0 - 1/12*a**4 + 1/60*a**5. Determine r so that s(r) = 0.
0, 2
Determine l so that 0*l + 1/3*l**3 - l**2 + 4/3 = 0.
-1, 2
Let t(u) = -u + 2*u - 7 + 4. Let c be t(5). Factor -3*v**3 + 0*v**3 - v**4 + 5*v**3 - c*v + 1.
-(v - 1)**3*(v + 1)
Let g = 18472/295 - 313/5. Let n = 63/236 - g. Factor -n*a + 0 - 1/4*a**3 - 1/2*a**2.
-a*(a + 1)**2/4
Let u(v) be the second derivative of v**10/15120 - v**9/7560 - v**8/3360 + v**7/1260 + v**4/6 - v. Let y(n) be the third derivative of u(n). Factor y(w).
2*w**2*(w - 1)**2*(w + 1)
Let j(u) be the first derivative of -3*u**5/10 + 3*u**4/8 + u**3/2 - 3*u**2/4 - 20. Let j(q) = 0. What is q?
-1, 0, 1
Let c(a) = a**2 + a. Let q be c(-2). Factor 3*j**3 - 1 - 3*j**3 - j**3 + 0*j + j**q + j.
-(j - 1)**2*(j + 1)
Let k(q) = -q. Let j be k(-6). Let u(m) be the third derivative of 0*m**3 + 0 - 4*m**2 - 1/660*m**j + 0*m**5 + 0*m**4 + 0*m. Factor u(b).
-2*b**3/11
Let j(r) = r**5 + r**4 - r**3 + r**2 - r. Let o(l) = -10*l**5 + 15*l**4 - 15*l**3 - 15*l**2 + 30*l - 10. Let h(a) = 5*j(a) + o(a). Let h(y) = 0. What is y?
-1, 1, 2
Let n be (-1183 - (-1 + -1))/7. Let y = n - -169. Factor 0 + 0*z + 2/7*z**5 + 6/7*z**3 - y*z**2 - 6/7*z**4.
2*z**2*(z - 1)**3/7
Let q be (360/18)/(2/1). Factor q*h + 2 - 19*h + h**2 + 12*h.
(h + 1)*(h + 2)
Let a(q) be the third derivative of q**8/112 - q**7/70 - q**6/40 + q**5/20 - 10*q**2. Find j, given that a(j) = 0.
-1, 0, 1
Factor 5/3*s - 1/3*s**2 - 4/3.
-(s - 4)*(s - 1)/3
Let x(f) be the third derivative of -5*f**8/1008 + 2*f**7/21 - 3*f**6/4 + 3*f**5 - 45*f**4/8 - 17*f**2. Find i such that x(i) = 0.
0, 3
Let g(y) = y**4 - 3*y**3 - 2*y**2 - 4*y - 4. Let t(o) = 3*o**4 - 5*o**3 - 4*o**2 - 9*o - 9. Let l(f) = 9*g(f) - 4*t(f). Factor l(h).
-h**2*(h + 2)*(3*h + 1)
Let z(s) = s**2 + 5*s - 4. Suppose -l + 6 = -2*l. Let x be z(l). Factor -21*d**x + 20*d - 7*d**3 - 5*d**3 + 25*d**4 - 8*d**3 - 4.
(d - 1)*(d + 1)*(5*d - 2)**2
Let w(o) = -o**2 - 4*o + 4. Let s be w(-4). Let i be (-6)/s*(-8)/18. Factor 2/3*u**3 + i*u**2 + 0 + 0*u.
2*u**2*(u + 1)/3
Let u = 6599419/5166 - 47/1722. Let n = 1279 - u. Factor 0*d + 0*d**2 + 0*d**3 - n*d**5 + 4/9*d**4 + 0.
-2*d**4*(7*d - 2)/9
Let r(t) be the first derivative of t**8/336 - t**7/70 + t**6/40 - t**5/60 + t**2 + 1. Let y(s) be the second derivative of r(s). Factor y(n).
n**2*(n - 1)**3
Let x(w) be the third derivative of -1/20*w**6 + 0*w**5 - 1/105*w**7 + 0*w + 0 + 1/3*w**4 + 0*w**3 - 4*w**2. Factor x(m).
-2*m*(m - 1)*(m + 2)**2
Suppose 3*v = 2*v + 2. Let w(o) = 2*o**4 - 4*o**2 - 4*o + 4. Let z(y) = -y**3 + y**2 - y. Let k(b) = v*z(b) - w(b). Factor k(n).
-2*(n - 1)**2*(n + 1)*(n + 2)
Let h = 8 - 6. Suppose h*j - 3 = j. Factor -8/7 - 26/7*d**2 - 2/7*d**4 + 24/7*d + 12/7*d**j.
-2*(d - 2)**2*(d - 1)**2/7
Factor 18/7 + 128/7*l**4 + 60/7*l - 46/7*l**2 - 160/7*l**3.
2*(l - 1)**2*(8*l + 3)**2/7
Factor 15/4*h - 7/4*h**2 + 1/4*h**3 - 9/4.
(h - 3)**2*(h - 1)/4
Let j(d) be the third derivative of d**6/90 - d**5/30 + d**4/24 - d**3/3 + 4*d**2. Let l(v) be the first derivative of j(v). Factor l(t).
(2*t - 1)**2
Let b be 1/36*(-2)/30*-9. Let l(v) be the third derivative of 0 - 1/120*v**6 + 1/24*v**4 + 0*v - 2*v**2 - 1/6*v**3 + b*v**5. Determine k, given that l(k) = 0.
-1, 1
Let j(a) be the first derivative of 1/6*a**2 + 2 - 1/6*a - 1/18*a**3. Let j(l) = 0. Calculate l.
1
Let 0 + 2/9*r**4 - 4/9*r**3 + 0*r - 2/3*r**2 = 0. Calculate r.
-1, 0, 3
Let x be 0 - ((-4)/6)/((-32)/(-240)). Solve -116/9*u**3 - 56/9*u - 50/9*u**4 - 8/9 - 122/9*u**2 - 8/9*u**x = 0 for u.
-2, -1, -1/4
Let m be (-10)/(-20) + (-3)/(-2). Factor 4/5 + 2/5*j**m - 6/5*j.
2*(j - 2)*(j - 1)/5
Let c(v) = v**2 + 2*v - 3. Let h be c(-3). Factor -3 - 4*f + 2*f**2 + h*f - 1 - 3*f**2.
-(f + 2)**2
Factor -6*f - 3*f + 6*f**3 - 6*f**2 + 9*f**