et p(a) = 0. Calculate a.
-2, 3
Let p(q) be the second derivative of 1/4*q**4 + 1/2*q**3 + 0*q**2 + 0 - 1/10*q**6 + 2*q - 3/20*q**5. Factor p(h).
-3*h*(h - 1)*(h + 1)**2
Let f(m) be the second derivative of m**5/210 - m**4/63 - m**3/63 + 2*m**2/21 - 24*m. Determine y, given that f(y) = 0.
-1, 1, 2
Let o(m) be the first derivative of -m**4/2 - 4*m**3/3 - m**2 - 6. Factor o(n).
-2*n*(n + 1)**2
Suppose 3*q**2 + 3/2*q**3 + 3/2*q + 0 = 0. Calculate q.
-1, 0
Let i be (3 + -2)/(3 + 32/(-12)). Let v(l) be the first derivative of 1/9*l**4 - 2/9*l**2 - 2/9*l + 2/45*l**5 + 2 + 0*l**i. What is p in v(p) = 0?
-1, 1
Let j(w) be the first derivative of 0*w - 1 + 1/5*w**2 + 0*w**4 + 4/15*w**3 - 1/15*w**6 - 4/25*w**5. Find h such that j(h) = 0.
-1, 0, 1
Let w(v) = -v**2 - v - v**2 - v + 3 - v. Let u be 6/27 + 29/(-9). Let h(z) = z - 1. Let d(i) = u*h(i) - w(i). Solve d(o) = 0.
0
Factor -1/4*g + 1/4*g**2 - 1/4 + 1/4*g**3.
(g - 1)*(g + 1)**2/4
Let q be (9/6)/((-3)/(-4)). Let u be 2 - (1 - q/4). Suppose -3/4*f - 3/4*f**5 + u*f**3 + 1/4 + 1/4*f**4 - 1/2*f**2 = 0. What is f?
-1, 1/3, 1
Let 1/4*k**4 + 5/4*k**3 - 1/4*k**2 - 1/2*k - 3/4*k**5 + 0 = 0. Calculate k.
-1, -2/3, 0, 1
Let k be 1 - 1 - (5 - 5). Let x(l) be the second derivative of k + 1/5*l**2 + 1/5*l**3 + 1/50*l**5 + 1/10*l**4 + 2*l. Solve x(v) = 0 for v.
-1
Let d(q) = q**3 + 9*q**2 - 12*q - 20. Let h be d(-10). Solve 3/7*z**5 + h*z**4 + 0*z + 6/7*z**2 + 0 - 9/7*z**3 = 0 for z.
-2, 0, 1
Let p(b) be the first derivative of -b**6/150 - 3*b**5/100 - b**4/20 - b**3/30 + b + 3. Let a(q) be the first derivative of p(q). Factor a(g).
-g*(g + 1)**3/5
Let k(z) = z**2 - 8*z - 7. Let g be k(9). Factor -a**5 + 2*a**2 + 3*a**5 - 2*a + 2*a**g - 4*a**4.
2*a*(a - 1)**3*(a + 1)
Let x(o) be the third derivative of -2*o**2 + 0 - 1/90*o**5 + 1/18*o**4 - 1/9*o**3 + 0*o. Find l such that x(l) = 0.
1
Let l(r) be the third derivative of -r**8/112 + r**7/70 + 3*r**6/40 - r**5/4 + r**4/4 + 5*r**2. Factor l(t).
-3*t*(t - 1)**3*(t + 2)
Suppose -3*y + 5*c = 16, -2*c + 0*c = -2*y - 4. Solve -v**3 + v - 7*v**2 - 6*v + 5*v**y + 3*v = 0 for v.
-1/4, 0, 2
Let x(j) be the second derivative of -j**4/4 + 2*j. What is r in x(r) = 0?
0
Suppose -5*h = -4*r + 18, 4*h = 4*r - 0*h - 16. Let n(l) be the first derivative of 3*l**2 - r*l + 1/2*l**4 - 1 - 2*l**3. Factor n(y).
2*(y - 1)**3
Let c = 20108/15 + -1340. Determine h so that 0 - 4/15*h - c*h**3 - 2/15*h**4 - 2/3*h**2 = 0.
-2, -1, 0
Let g(d) be the first derivative of 2*d**3/15 - 8*d/5 + 5. Factor g(f).
2*(f - 2)*(f + 2)/5
Let w(o) be the second derivative of o**4/12 - o**3 - 2*o**2 - 3*o. Let c be w(7). Solve 0*k**c + 2/5*k**5 + 0 - 4/5*k**4 + 4/5*k**2 - 2/5*k = 0.
-1, 0, 1
Let u(v) = 22*v**2 - 8 - 2*v + 0 - 6*v**2 - 14*v**3. Let j(s) = -13*s**3 + 16*s**2 - 2*s - 7. Let g be 1 + 1 + (-5)/1. Let q(d) = g*u(d) + 4*j(d). Factor q(z).
-2*(z - 1)**2*(5*z + 2)
Let v(l) be the first derivative of -98*l**3/27 - 56*l**2/9 - 32*l/9 + 2. Let v(y) = 0. What is y?
-4/7
Let d be (-3)/6 - 2*18/(-40). Factor -d + 0*p + 2/5*p**2.
2*(p - 1)*(p + 1)/5
Let f = 1 - -2. Let l(t) = 11*t - 6 - 9*t**3 - 4*t**f - 24*t**2 + t**3. Let r(a) = 37*a**3 + 72*a**2 - 34*a + 17. Let d(g) = 11*l(g) + 4*r(g). Factor d(n).
(n + 2)*(4*n - 1)**2
Suppose -16*h = -10*h - 30. Let u(m) be the third derivative of 0*m + 0 - h*m**2 + 0*m**3 + 1/30*m**5 + 1/60*m**6 + 0*m**4. Determine v so that u(v) = 0.
-1, 0
Let a(s) = -15*s**3 - 42*s**2 + 6*s + 6. Let d(r) = r**3 - r**2 - r + 1. Let m(i) = a(i) - 6*d(i). Determine f, given that m(f) = 0.
-2, 0, 2/7
Let k(l) be the first derivative of 0*l**2 + 0*l - 1/9*l**3 + 2. Let k(w) = 0. What is w?
0
Let y be 8/(-36) - 39/(-135). Let h(s) be the first derivative of 2 - s**3 + 7/6*s**2 - y*s**5 - 2/3*s + 5/12*s**4. Factor h(x).
-(x - 2)*(x - 1)**3/3
Let n = 5 - 4. Let m = n - -2. Suppose 5*r**m + 3*r**4 + r**4 + 0*r**2 + r**2 = 0. Calculate r.
-1, -1/4, 0
Let x(f) = 3*f**3 - 6*f**2 - 17*f + 29. Let v(s) = 3*s**3 - 6*s**2 - 18*s + 30. Let r(g) = -5*v(g) + 6*x(g). Factor r(a).
3*(a - 2)**2*(a + 2)
Suppose -2*w = 3*j, 0*w + 16 = 2*w - 5*j. Let m = -4 + 4. Factor -2/3*h**w + 1/3*h**5 + 0*h**4 + 1/3*h + m + 0*h**2.
h*(h - 1)**2*(h + 1)**2/3
Suppose -2*y = b + b, -2*b + 12 = -4*y. Suppose 2*f - 3 = g - 15, 2*f + 14 = b*g. Factor -1/3*v**3 + 0*v + 0 + 1/3*v**g.
-v**2*(v - 1)/3
Suppose 5*x = 5*w - 15, -2*x - 3*x - 10 = 0. Let a = 1 + w. Let -m**2 - 2*m**2 + 2*m**4 + 2 - m**a = 0. What is m?
-1, 1
Factor -10*y + 10*y + 4*y**2 - 4.
4*(y - 1)*(y + 1)
Let v be 1/(-3) + (-228)/18. Let d = v + 15. Determine c so that -5/2*c**d - c + 3*c**3 + 0 + 19/2*c**4 + 5*c**5 = 0.
-1, -2/5, 0, 1/2
Find o, given that 42/17*o**3 + 4/17 - 40/17*o**2 - 6/17*o = 0.
-1/3, 2/7, 1
Suppose -26 = -2*z + 4*f, z - 5*f - 16 = 4*z. Factor 0*k**2 - 6*k**3 + 4*k**z - 3*k**2 + k**2 + 2*k**4 + 2*k.
2*k*(k - 1)**2*(k + 1)
Suppose -8*s + 48 = 4*s. Factor -2*l + 1/2*l**s - 2*l**3 + 3*l**2 + 1/2.
(l - 1)**4/2
Let s be 1*(2 - 2) + 1. Let z be s/2*3*6. Let -3*l - 6*l + 2*l**2 + z*l = 0. Calculate l.
0
Let i = 226/175 + -19951/175. Let v = i + 113. Factor -2/7*n**2 + v*n**3 + 2/7 - 2/7*n.
2*(n - 1)**2*(n + 1)/7
Let m(w) be the first derivative of -2*w**3/21 - 4*w**2/7 - 6*w/7 + 60. Find u such that m(u) = 0.
-3, -1
Let j(k) be the first derivative of -k**6/9 + 16*k**5/15 - 25*k**4/6 + 76*k**3/9 - 28*k**2/3 + 16*k/3 - 14. Let j(m) = 0. What is m?
1, 2
Let c = 42 + -39. Let x = 313 + -905/3. Find b, given that -86/3*b**4 - 56/3*b**5 - 4/3*b**2 + 0 + 0*b - x*b**c = 0.
-1, -2/7, -1/4, 0
Let s(g) = -7*g**2 + 2*g + 6. Let b(q) be the second derivative of -q**4/12 + q**2/2 + 2*q. Let d(n) = 6*b(n) - s(n). Solve d(i) = 0 for i.
0, 2
Suppose -51*a - 4*a**2 + 9*a**2 + 16*a = 0. Calculate a.
0, 7
Let d(m) be the second derivative of -16*m**6/135 + 28*m**5/45 - 19*m**4/18 + 19*m**3/27 - 2*m**2/9 - 15*m - 1. Let d(s) = 0. Calculate s.
1/4, 1, 2
Suppose -14 = 3*b + 1, 0 = 4*g - 5*b - 33. Let y(p) be the third derivative of 0*p + 0 + 1/6*p**3 + 2*p**g + 1/16*p**4 - 1/80*p**6 - 1/60*p**5. Factor y(x).
-(x - 1)*(x + 1)*(3*x + 2)/2
Let d(k) be the first derivative of 0*k + 2/3*k**3 - 2/7*k**2 - 1. Let d(a) = 0. What is a?
0, 2/7
Let l(j) be the first derivative of -j**4/48 - j**3/24 + 5*j - 1. Let u(x) be the first derivative of l(x). Factor u(k).
-k*(k + 1)/4
Let t(u) be the first derivative of -u**6/12 + u**5/5 + u**4/8 - u**3/3 - 4. Determine i, given that t(i) = 0.
-1, 0, 1, 2
Let 30*r**2 - 17*r**2 + 2*r**3 - 2*r**4 - 9*r**2 = 0. Calculate r.
-1, 0, 2
Let i = -4 + 7. Suppose -3*g**3 - 12*g**2 + 9*g**4 + i*g**4 + 8*g - 5*g = 0. Calculate g.
-1, 0, 1/4, 1
Factor r**4 - 6*r**4 - 3*r**2 - 3*r + 8*r**4 + 3*r**3.
3*r*(r - 1)*(r + 1)**2
Let t(h) be the first derivative of -h**4 - 20*h**3/3 - 16*h**2 - 16*h - 11. Let t(i) = 0. What is i?
-2, -1
Let u(k) = k**3 + 9*k**2 + 9*k + 10. Let a be u(-8). Factor 6*s**2 + 8*s**3 - 3*s**4 + 0*s**a + 5*s**4.
2*s**2*(s + 1)*(s + 3)
Let f(l) be the first derivative of 9/4*l**4 - 9/2*l**2 - l**3 + 3*l - 10. Suppose f(r) = 0. Calculate r.
-1, 1/3, 1
Let n = -5 - -9. Let m**4 - 6*m**3 + 3*m**3 - 2*m**4 - m**n = 0. What is m?
-3/2, 0
Let k = -6/17 + 83/187. Let c(l) be the second derivative of -1/55*l**5 - k*l**2 - 3*l + 1/33*l**3 + 1/33*l**4 - 1/165*l**6 + 1/231*l**7 + 0. Factor c(v).
2*(v - 1)**3*(v + 1)**2/11
Let -2/3*j**2 + 0*j - 2/3*j**5 + 0 + 2/3*j**3 + 2/3*j**4 = 0. What is j?
-1, 0, 1
Let f(b) be the first derivative of 4*b**5/35 - 5*b**4/28 - b**3/7 + 5*b**2/14 - b/7 + 6. Solve f(q) = 0 for q.
-1, 1/4, 1
Let k(m) be the first derivative of -m**4/16 + m**3/3 - 5*m**2/8 + m/2 + 5. Determine p so that k(p) = 0.
1, 2
Let s(o) = 2*o**2 + 12*o + 12. Let t(v) be the third derivative of -v**5/30 - 11*v**4/24 - 11*v**3/6 - 4*v**2. Let m(p) = 3*s(p) + 4*t(p). Factor m(r).
-2*(r + 2)**2
Factor -8*t + t**2 + 2*t**4 + 12*t - 7*t**2.
2*t*(t - 1)**2*(t + 2)
Let l be 2/5 + (-340)/(-25). Suppose 2*i + 6*u - 2*u = -l, 4*i = 3*u + 27. Factor -1/2*f**5 - f**2 + 3/2*f - f**i - 1/2 + 3/2*f**4.
-(f - 1)**4*(f + 1)/2
Let n(f) be the second derivative of 9*f**2 + 0 + 1/6*f**4 + 2*f**3 + f. Find g, given that n(g) = 0.
-3
Suppose 2/5*i**2 - 1/5*i - 1/5*i**3 + 0 = 0. What is i?
0, 1
Let j(i) be the first derivative of -5*i**4/4 - 15*i**3 - 135*i**2/2 - 1