(y) = 0. What is y?
-3, 2
Let m(q) = -15*q**2 + q. Let t be m(3). Let n be (-6)/(-4)*t/(-55). Factor -2*s**3 - n*s + 4/5 + 24/5*s**2.
-2*(s - 1)**2*(5*s - 2)/5
Let x be ((-4)/8)/((-2)/(-24)). Let j be x/((-2)/(8/6)). Factor -r + j*r**2 + r**4 - 3*r**3 + 0*r**2 - r**2.
r*(r - 1)**3
Factor -22*h**4 - 4*h**5 + 21*h - 30*h**3 - 11*h**5 - 16*h - 18*h**4.
-5*h*(h + 1)**3*(3*h - 1)
Let f(p) be the second derivative of 1/21*p**3 + 0 - 1/70*p**5 - 1/21*p**4 - 7*p + 2/7*p**2. Find r, given that f(r) = 0.
-2, -1, 1
Let t(u) be the third derivative of 1/175*u**7 + 1/15*u**4 + 0 + 1/300*u**6 + 0*u**3 - 4/75*u**5 - 2*u**2 + 0*u. Let t(q) = 0. Calculate q.
-2, 0, 2/3, 1
Suppose 5 = 3*g - 4. Find z, given that 10*z**2 + 15*z**4 - 5*z**5 - 16*z**g - 6*z**2 + 2*z**4 = 0.
0, 2/5, 1, 2
Let d(h) be the second derivative of h**7/252 + 11*h**6/540 + 7*h**5/180 + h**4/36 - h**3/2 + 4*h. Let u(o) be the second derivative of d(o). Factor u(m).
2*(m + 1)**2*(5*m + 1)/3
Let q be 26/10 + (-6)/10. Find k, given that 2/9*k**q - 4/9 + 2/9*k = 0.
-2, 1
Suppose 9*c = 4*c + 10. Let v(w) = -w**3 + 3*w**2 - 8*w + 4. Let z(y) = -5*y**3 + 14*y**2 - 40*y + 20. Let g(s) = c*z(s) - 11*v(s). Factor g(m).
(m - 2)**2*(m - 1)
Find i, given that -2/11*i**2 + 4/11 - 2/11*i = 0.
-2, 1
Let a be 4 + 14/(-5) + 0. Let i(m) be the first derivative of 1/5*m**2 - 13/10*m**4 + 2/5*m**5 + a*m**3 - 2 - 4/5*m. Determine l, given that i(l) = 0.
-2/5, 1
Let l(d) = 15*d**2 - 6*d - 8. Let p(q) = -7*q**2 + 3*q + 4. Let o(u) = -6*l(u) - 13*p(u). Let g be o(4). Suppose -1/4*j**2 + 1/4*j + g = 0. What is j?
0, 1
Let h(g) = g**3 - 2*g**2 + 2*g - 2. Let l be h(2). Let a(y) be the second derivative of 0 - 4/3*y**3 + 4*y**l + 1/6*y**4 + 3*y. Factor a(t).
2*(t - 2)**2
Factor -8/3 - 12*m**2 - 4/3*m**4 - 28/3*m - 20/3*m**3.
-4*(m + 1)**3*(m + 2)/3
Suppose -2*j**3 - 32*j**4 + 4*j**5 - 1 + 30*j**3 + 1 = 0. Calculate j.
0, 1, 7
Let h = -341 + 341. Find b such that h - 1/7*b**2 + 0*b - 1/7*b**3 = 0.
-1, 0
Let u(h) be the third derivative of 1/30*h**4 + 11/600*h**6 + 3*h**2 + 0*h + 0 + 0*h**3 + 1/350*h**7 + 1/25*h**5. Let u(z) = 0. What is z?
-2, -1, -2/3, 0
Let i(h) be the second derivative of -1/210*h**5 - 2*h + 1/420*h**6 - h**2 + 0 + 0*h**4 + 0*h**3. Let p(s) be the first derivative of i(s). Factor p(a).
2*a**2*(a - 1)/7
Let w(r) = -21*r**4 + 16*r**3 + 77*r**2. Let l(a) = 10*a**4 - 8*a**3 - 38*a**2. Let d(o) = 13*l(o) + 6*w(o). Factor d(z).
4*z**2*(z - 4)*(z + 2)
Let r(p) be the first derivative of 3 + p**2 - p**4 + 0*p**3 + 1/3*p**6 + 0*p**5 + 0*p. Factor r(v).
2*v*(v - 1)**2*(v + 1)**2
Let b be -1 + (-4)/(16/(-12)). Factor -4*q**b + 0*q + q**3 - 3*q + 2*q**2.
q*(q - 3)*(q + 1)
Let u = -86469/11 - -7889. Let w = -28 + u. Find v, given that 0*v**3 - w*v**4 + 2/11*v**2 + 0*v + 0 = 0.
-1, 0, 1
Let y(x) be the third derivative of 0 - 1/30*x**4 + 1/300*x**6 + 0*x - 1/150*x**5 + 0*x**3 + x**2. Factor y(k).
2*k*(k - 2)*(k + 1)/5
Let b = 274 - 1358/5. Solve b - 12/5*g + 3/5*g**2 = 0.
2
Let m be ((-10)/(-15))/((-2)/(-6)). Let -2*g**2 - 4 - 2*g + g**2 + 3*g**m = 0. Calculate g.
-1, 2
Let o = 1193/4 - 298. What is a in 0*a + 0 + o*a**2 = 0?
0
Let o = 22/5 - 83/20. Let w be -1 + ((-27)/(-24))/((-24)/(-32)). Factor 0*d**3 + 0 - w*d + o*d**4 - 3/4*d**2.
d*(d - 2)*(d + 1)**2/4
Let f = 247/1661 + 5/151. Factor 0*p**2 - 2/11*p + f*p**3 + 0.
2*p*(p - 1)*(p + 1)/11
Suppose 2*n - 2 = -0*n. Suppose 3*g + n = 7. Determine d, given that -d**5 + 2*d**g + d**3 - 2*d**2 = 0.
-1, 0, 1
Let a(r) = r**3 - 8*r**2 + 8*r - 2. Suppose 0 = c - 2*f + 3, 5*f = 3*c + f - 1. Let x be a(c). Factor -l**x + 1 - 1.
-l**5
Suppose 22 = w - 5*g, 2*w + 5*g = w + 2. Let c be (w/(-81))/(2/(-3)). Solve 0 - c*u + 2/9*u**3 + 0*u**2 = 0.
-1, 0, 1
Suppose 3*p = 4*p - 6. Let 8*x + p*x**2 + 8/3 = 0. Calculate x.
-2/3
Let j(b) be the third derivative of -b**7/1260 - b**6/108 - 2*b**5/45 - b**4/9 + b**3/3 + 3*b**2. Let u(d) be the first derivative of j(d). Factor u(c).
-2*(c + 1)*(c + 2)**2/3
Suppose -4*x - 2*z = -20, 5*x - 25 = -0*x + 4*z. Factor -20*r**3 + 12*r**3 - 2*r**x + 10*r**3.
-2*r**3*(r - 1)*(r + 1)
Factor 0*v**2 - 1/2*v**3 + 0 + 1/2*v.
-v*(v - 1)*(v + 1)/2
Factor -3*q**4 + 2*q**5 - 5*q**5 - 3 + 3.
-3*q**4*(q + 1)
Let s be (15/20)/(6/4). Let h(l) = 4*l**3 - l**2 + l - 1. Let x be h(1). Solve -1/4*t**2 - s*t + 3/4*t**x + 0 = 0.
-2/3, 0, 1
Let i = -199 - -598/3. Factor 0 + 0*d - i*d**5 + d**4 - d**3 + 1/3*d**2.
-d**2*(d - 1)**3/3
Let v(u) be the second derivative of u**6/180 - u**5/90 - u**2/2 - 3*u. Let t(h) be the first derivative of v(h). Factor t(a).
2*a**2*(a - 1)/3
Let m(f) be the first derivative of -f**6/120 - f**5/24 - f**4/16 - 3*f**2/2 + 6. Let s(d) be the second derivative of m(d). Determine i, given that s(i) = 0.
-3/2, -1, 0
Let c be 8/10*(-250)/(-28). Factor 0 - c*f**5 - 8/7*f**3 - 40/7*f**4 + 0*f**2 + 0*f.
-2*f**3*(5*f + 2)**2/7
Let o(r) be the third derivative of -r**8/140 + r**6/40 + r**5/40 - r**3 - 3*r**2. Let k(x) be the first derivative of o(x). Suppose k(u) = 0. Calculate u.
-1/2, 0, 1
Suppose 2*g - 4*u - 4 = -3*g, 0 = 2*g - 2*u. Factor 3 - 6*i**2 - g*i**3 + 6*i**3 + 5.
2*(i - 2)**2*(i + 1)
Let l(k) be the third derivative of 2*k**7/105 + k**6/12 + k**5/15 + 15*k**2. Let l(a) = 0. Calculate a.
-2, -1/2, 0
Let p(k) be the third derivative of 0*k**3 + 0 + 1/35*k**7 + 0*k**4 + 1/30*k**5 - 1/20*k**6 - 1/168*k**8 - 2*k**2 + 0*k. What is b in p(b) = 0?
0, 1
Let p(v) be the second derivative of -2*v + 1/40*v**5 + 1/4*v**3 + 1/4*v**2 + 1/8*v**4 + 0. Let p(f) = 0. Calculate f.
-1
Suppose 5*c = 4*t + 52, 4*t + 2*c = -64 + 12. Let k = 8 + t. Let a(l) = l**2 + 2*l. Let b(u) = -2*u**2 - 5*u. Let g(y) = k*a(y) - 2*b(y). Factor g(d).
-d**2
Suppose -3*z - r + 4 = 0, 0 = 3*z + 2*r - 2. Let c(j) be the second derivative of -1/27*j**3 + 1/54*j**4 + 0*j**2 + z*j + 0. What is h in c(h) = 0?
0, 1
Solve 2/7 - 12/7*z + 10/7*z**2 = 0 for z.
1/5, 1
Let h(u) be the second derivative of 1/5*u**6 + 0 - 1/21*u**7 - 1/3*u**4 - u**2 - 1/5*u**5 + u**3 + u. Factor h(j).
-2*(j - 1)**4*(j + 1)
Let c = 71 + -71. Suppose -2/3*d**3 + c*d**2 + 2/3*d + 0 = 0. Calculate d.
-1, 0, 1
Let t(w) = -2*w**5 + 66*w**4 + 363*w**3 + 5*w**2 - 5*w. Let u(c) = c**5 - c**2 + c. Let p(l) = -t(l) - 5*u(l). Factor p(f).
-3*f**3*(f + 11)**2
Let -2/5*f - 3/5 + 1/5*f**2 = 0. What is f?
-1, 3
Let t = 12 - 10. Factor -5*l**3 + 3*l**2 - l**t + 3*l**3.
-2*l**2*(l - 1)
Let k be 16/10 + 310/775. Factor -1/3*j**k + j - 2/3.
-(j - 2)*(j - 1)/3
Let h(c) be the third derivative of -8*c**2 + 0*c**3 - 1/240*c**5 - 1/96*c**4 + 0*c + 0. Let h(m) = 0. What is m?
-1, 0
Let m(k) be the third derivative of k**7/3360 + k**6/720 + k**5/480 + 2*k**3/3 - k**2. Let s(h) be the first derivative of m(h). Factor s(i).
i*(i + 1)**2/4
Let c(y) be the third derivative of -y**8/1680 - y**7/1050 + y**6/600 + y**5/300 + y**2. Factor c(j).
-j**2*(j - 1)*(j + 1)**2/5
Let k(u) be the third derivative of 2*u**2 + 0*u**4 + 0*u + 0 + u**3 - 1/40*u**5. Factor k(i).
-3*(i - 2)*(i + 2)/2
Let g(r) be the third derivative of -r**8/672 + r**7/210 - r**6/240 + 3*r**2. Factor g(v).
-v**3*(v - 1)**2/2
Factor 0 - 2/9*b - 4/9*b**2 - 2/9*b**3.
-2*b*(b + 1)**2/9
Let f(u) = 2 - 8*u + 21*u + 4 - 21*u**2. Suppose 0*y + 5*y = 15. Let c(k) = -21*k**2 + 12*k + 6. Let r(d) = y*f(d) - 2*c(d). Factor r(j).
-3*(j - 1)*(7*j + 2)
Let z be ((-1)/7)/(2 + -3). Solve 1/7*w**2 - z*w - 2/7 = 0 for w.
-1, 2
Let a = -140 + 142. Factor -2/3 + 2/3*n**a + 0*n.
2*(n - 1)*(n + 1)/3
Suppose 0*k + 0 + 0*k**4 - 1/2*k**3 + 0*k**2 + 1/2*k**5 = 0. What is k?
-1, 0, 1
Suppose 2*f + 0*f - 6 = 0. Suppose -f*y + 2*r - 1 = 0, 5 = -4*y - y + 4*r. Factor 2 + 11*p + 8*p**3 + 16*p**2 + 2*p**3 - 3*p**y.
(p + 1)**2*(7*p + 2)
Let k(g) = 4*g**4 + 10*g**3 + 20*g**2 + 14*g + 4. Let l(s) = -s**4 - s**2. Let d(o) = -k(o) - 2*l(o). Suppose d(y) = 0. What is y?
-2, -1
Factor -95*a + 5*a**3 + 157*a - 20 + 5*a**2 - 82*a.
5*(a - 2)*(a + 1)*(a + 2)
Let d(u) = -9*u**3 + 7. Let l(q) = -5*q**3 + 0*q**3 + 4 + q**3 - 1. Let r(s) = 3*d(s) - 7*l(s). Factor r(z).
z**3
Suppose a - a = 3*a. Let q(y) be the third derivative of 3*y**2 + 1/24*y**4 + 0*y - 1/120*y**5 + a - 1/12*y**3. Determine c so that q(c) = 0.
1
Let r(m) be the third derivative of 0*m**3 + 0*m + 0 - m**2 + 1/420*m**5 + 1/168*m**4. Factor r(x).
x*