3 + 5*o**3 + o**2 = 0. Calculate o.
-1, 0, 2/3
Let b(o) be the third derivative of o**5/135 + o**4/27 - 29*o**2. Let b(h) = 0. What is h?
-2, 0
Let q(m) be the third derivative of m**6/24 - m**5/12 - 5*m**4/24 + 5*m**3/6 - 8*m**2. Factor q(s).
5*(s - 1)**2*(s + 1)
Let p be (26 - 22) + (-109)/(-3). Factor -44/3*c - 4/3 - p*c**2.
-(11*c + 2)**2/3
Let d(j) be the first derivative of 3*j**5/80 + 3*j**4/16 - 8*j + 7. Let r(f) be the first derivative of d(f). Find u such that r(u) = 0.
-3, 0
Let c be 0 - (-2 - (-1 + 2)). Factor 0*z**2 + 1/3*z**c - 1/3*z + 0.
z*(z - 1)*(z + 1)/3
Let p(r) be the first derivative of r**2 - 4*r + 2/3*r**3 + 3. Factor p(m).
2*(m - 1)*(m + 2)
Let g(c) = -22*c - 72. Let i(o) = 7*o + 24. Let l(d) = 5*g(d) + 16*i(d). Let m be l(-12). Factor m - 2/5*s**3 - 2/5*s - 4/5*s**2.
-2*s*(s + 1)**2/5
Let v(n) = 14*n**2 - 7*n + 8. Let s(y) = -7*y**2 - 28*y**2 - 22*y**2 - 33 + 27*y. Let u(r) = -5*s(r) - 21*v(r). Let u(m) = 0. What is m?
1/3, 1
Let q be -2*(-7)/(168/18). Let 0*g + 21/4*g**4 - 15/4*g**3 - q*g**2 + 0 = 0. Calculate g.
-2/7, 0, 1
Let n be 0/((4/(-1))/(-2)). Let w(r) be the third derivative of n - 1/90*r**5 + r**2 - 1/9*r**3 + 1/18*r**4 + 0*r. Factor w(u).
-2*(u - 1)**2/3
Let r(y) = -4*y**4 - 8*y**3 - 5*y**2 + 11*y**4 + 0*y**2. Let t be -3*1*(-20)/12. Let l(j) = 6*j**4 - 7*j**3 - 4*j**2. Let v(o) = t*r(o) - 6*l(o). Factor v(u).
-u**2*(u - 1)**2
Suppose 0*x - x + 2 = w, -2*w = -3*x + 6. Suppose -5*f + x*f = -9. Let 0 + 882/5*s**4 + 140*s**f + 16/5*s + 184/5*s**2 = 0. What is s?
-2/7, -2/9, 0
Let w(c) be the second derivative of c**6/50 - 3*c**5/50 - 3*c**4/20 + 2*c**3/5 + 6*c**2/5 + 5*c. Solve w(i) = 0.
-1, 2
Solve 87*n**4 - 9*n**5 + 145*n**2 + 235*n**3 + 162*n**4 + 40*n + 4 - 74*n**4 + 58*n**5 = 0.
-1, -2/7
Suppose 32*a**2 - 7*a**5 - 9*a**5 - 32*a**4 - 4*a**3 + 16*a + 4*a**5 = 0. What is a?
-2, -1, -2/3, 0, 1
Let h be 2/12 + 32/(-3) + 11. Solve -3/4*j - h - 1/4*j**2 = 0.
-2, -1
Factor -1 + 5 + 2*m**2 + 2*m - 3 - 5.
2*(m - 1)*(m + 2)
Let b(v) be the third derivative of v**5/20 + 3*v**4/2 + 18*v**3 + 10*v**2. Solve b(i) = 0 for i.
-6
Suppose 0 = -5*q - 0*c - c + 521, 2*q - 213 = -5*c. Let v = q + -932/9. Factor 0 - v*j**2 + 2/9*j + 2/9*j**3.
2*j*(j - 1)**2/9
Let n = -144 + 144. Let -2/3*y**2 + 0 + 1/3*y**4 + n*y + 1/3*y**3 = 0. What is y?
-2, 0, 1
Suppose -2*h + 9 = 1. Suppose h*t - 2*t**2 + 3*t**2 + 1 + 3 + 0*t**2 = 0. What is t?
-2
Let f(b) be the first derivative of 0*b - 4/9*b**3 + 1/6*b**4 - b**2 + 8. Factor f(u).
2*u*(u - 3)*(u + 1)/3
Let d(y) be the second derivative of -1/140*y**5 - 2/21*y**3 + 0 + 1/21*y**4 - y + 0*y**2. Factor d(k).
-k*(k - 2)**2/7
Let c(h) be the third derivative of 1/17*h**4 + 0 + 2/255*h**5 + 3/17*h**3 + 0*h + 2*h**2. Suppose c(a) = 0. Calculate a.
-3/2
Let i(d) be the third derivative of d**8/1176 + d**7/105 + 19*d**6/420 + 5*d**5/42 + 4*d**4/21 + 4*d**3/21 + 26*d**2. Let i(m) = 0. Calculate m.
-2, -1
Solve 16 - 148*d**3 - 8*d**2 + 182*d**2 - 12*d**5 + 68*d**4 - 80*d - 18*d**2 = 0.
2/3, 1, 2
Let i(z) be the second derivative of z**6/60 - z**5/40 - 15*z. Determine l, given that i(l) = 0.
0, 1
What is w in 0 + 0*w + 2/9*w**3 - 2/9*w**2 = 0?
0, 1
Let i be 3/2 + 3/2. Suppose n - 2*n**4 - i*n - 3*n**2 - 3*n**2 - 6*n**3 + 0*n = 0. Calculate n.
-1, 0
Let o(t) be the second derivative of t**5/30 - t**4/12 - 3*t**2/2 - 2*t. Let z(k) be the first derivative of o(k). Factor z(m).
2*m*(m - 1)
Let s be -2*4 + 4 - -4. Let m(h) be the second derivative of -3/40*h**5 + s + 2*h - 1/8*h**2 - 7/48*h**4 + 1/15*h**6 + 1/4*h**3. Find k, given that m(k) = 0.
-1, 1/4, 1/2, 1
Let g(j) be the second derivative of 3*j**5/10 - j**4 - j**3/9 + 2*j**2/3 + 16*j. Determine x, given that g(x) = 0.
-1/3, 1/3, 2
Let q be 22/(-55)*(-1 + -4). Find b, given that 12*b**3 - 36*b**q - 3*b + 11*b + 4*b**3 = 0.
0, 1/4, 2
Let f(m) = m + 7. Let l be f(-3). Let h(d) be the second derivative of 0 - 1/12*d**3 + 1/8*d**2 + 1/48*d**l + 2*d. Factor h(q).
(q - 1)**2/4
Let x(k) be the second derivative of k**8/2240 - k**7/210 + k**6/48 - k**5/20 - k**4/6 - k. Let l(f) be the third derivative of x(f). Factor l(y).
3*(y - 2)*(y - 1)**2
Factor 3*n**2 + 6*n - 3/2*n**3 + 0 - 3/4*n**4.
-3*n*(n - 2)*(n + 2)**2/4
Let l(x) be the first derivative of 5*x**4/26 + 8*x**3/13 + 9*x**2/13 + 4*x/13 - 29. Suppose l(i) = 0. Calculate i.
-1, -2/5
Let m be ((-6)/100)/(6/16*-2). Let n(d) be the first derivative of 0*d**2 + 1/10*d**4 + 0*d**3 - 2 - m*d**5 + 0*d. What is i in n(i) = 0?
0, 1
Let g(f) = -6*f**2 + 5. Let s(z) = 3*z**2 - 3. Let c(x) = -3*g(x) - 5*s(x). Factor c(q).
3*q**2
Let i be (-6)/4 - (-3 - (-3 - -2)). Factor -i + 5/2*t**2 - 1/4*t.
(2*t - 1)*(5*t + 2)/4
Let f(m) be the second derivative of -m**5/25 + 2*m**3/15 - 37*m. Factor f(y).
-4*y*(y - 1)*(y + 1)/5
Let w be (0 - -1 - 3) + 0. Let x be (w/4)/(3/(-30)). Factor -15/2*t**4 + 0*t - 2*t**x + 1/2 - 5*t**2 - 10*t**3.
-(t + 1)**4*(4*t - 1)/2
Let b(g) = 8*g**3 - 24*g**2 + 4*g + 4. Let h(x) = -17*x**3 + 47*x**2 - 8*x - 8. Let w = 10 + -6. Let u(q) = w*h(q) + 7*b(q). Find r, given that u(r) = 0.
-1/3, 1
Suppose -12 - 3 = -5*s. Let a(o) be the first derivative of -1/5*o**5 + 0*o**4 + 0*o - o**2 + o**s + 3. What is c in a(c) = 0?
-2, 0, 1
Find c such that 3*c + 9*c - 5*c**2 + 1 + 1 - 9*c = 0.
-2/5, 1
Factor -2*h**3 - h**3 + 2*h**3 + 5*h - 12*h**2 + 11*h**2 - 3.
-(h - 1)**2*(h + 3)
Suppose -i + 71 = 6. Let n = i - 39. Suppose -26 - 3*f**2 - 6*f + n = 0. Calculate f.
-2, 0
Let u(h) = -h**3 + 2*h**2 + 2*h - 3. Let w be u(2). Let l be -1*(1 + w - 2). Factor 0 - q**2 + q**3 + l.
q**2*(q - 1)
Let s be (-195)/(-26) - 1/(-2). Suppose 7*q = 2*q + 60. Factor a**3 - 24*a - 3*a**3 + s + q*a**2 + 8.
-2*(a - 2)**3
Let w = 5 + -3. Find h such that -4*h**5 + 0*h**w - 10*h**4 - 2*h**2 - 8*h**3 + 2*h**2 - 2*h**2 = 0.
-1, -1/2, 0
Let s(g) be the third derivative of -g**5/60 + g**4/12 - 9*g**2. Factor s(y).
-y*(y - 2)
Factor 2 - 1/2*p**2 + p - 1/4*p**3.
-(p - 2)*(p + 2)**2/4
Let r(x) be the third derivative of -x**7/42 - x**6/24 + x**5/12 + 5*x**4/24 - 6*x**2. Factor r(j).
-5*j*(j - 1)*(j + 1)**2
Let b(l) = l**4 - 2*l**2 + 1. Let k(i) = -i**4 + 2*i**2 - 1. Suppose 0*p - p - 3 = 0. Let t(z) = p*k(z) - 2*b(z). Find r such that t(r) = 0.
-1, 1
Let u be 33/(-180) - (-2)/8. Let t(p) be the second derivative of 1/30*p**4 + 3*p + 0 - u*p**3 - 2/5*p**2. Factor t(g).
2*(g - 2)*(g + 1)/5
Let o(h) = -h + 1. Let a be o(-4). Suppose 2*g = m, m + 3*g + 0*g = a. Suppose -2*l**2 + m*l**2 + l + l**2 + l**2 - 2 - l**3 = 0. What is l?
-1, 1, 2
Suppose 5*r - r = 8. Let y(g) be the third derivative of 0*g**3 + 1/30*g**5 + 4*g**r + 1/336*g**8 + 0*g**7 + 0*g + 0*g**4 + 0 - 1/40*g**6. Factor y(d).
d**2*(d - 1)**2*(d + 2)
Factor 3/8*y**4 - 3/8*y**3 + 3/8*y - 9/8*y**2 + 3/4.
3*(y - 2)*(y - 1)*(y + 1)**2/8
Let j(p) = -p**3 - 3*p**2 + 6*p + 5. Let w be j(-4). Let h = w - -5. Factor h*y**2 + 0 + 1/2*y.
y*(4*y + 1)/2
Factor 1/4 - 1/2*o + 1/4*o**2.
(o - 1)**2/4
Let m(w) be the third derivative of -w**6/240 - w**5/30 - w**4/16 - 22*w**2. Factor m(k).
-k*(k + 1)*(k + 3)/2
Let o = 7/36 + 1/36. Let c(d) be the first derivative of -1 + o*d**3 + 0*d - 1/6*d**2 - 1/12*d**4. Factor c(r).
-r*(r - 1)**2/3
Let n = -50 + 55. Let o(t) be the third derivative of 1/210*t**n - 1/735*t**7 + 0*t - 1/420*t**6 + 1/1176*t**8 - t**2 + 0*t**4 + 0*t**3 + 0. Factor o(a).
2*a**2*(a - 1)**2*(a + 1)/7
Let o = 151/51 + -5/17. Determine m so that 8/3*m - o - 2/3*m**2 = 0.
2
Let p be (13/((-585)/(-20)))/(2/3). Find k such that -2/3*k + 2/3*k**2 + 2/3*k**3 - p = 0.
-1, 1
Suppose 5*y - 2*y = 3, 3*y - 28 = -5*n. Factor 3*l**4 - 4*l**n - 4*l**4 + l**5 + 2*l**5.
-l**4*(l + 1)
Suppose -x = -2*x - 5*k + 29, k - 5 = 0. Suppose 0*o = y + x*o - 15, o = y. Suppose -3*s**3 + 1 + y*s**2 + 0 + 3*s - 4 = 0. What is s?
-1, 1
Factor -36*y**4 - 4 - 11 - 9*y**4 - 5 + 100*y - 150*y**3 - 65*y**2.
-5*(y + 2)**2*(3*y - 1)**2
Let x be -1 + -6 + 1 - (-2352)/294. Let f = 80/21 - 22/7. Factor -1/3*q**5 + f*q**3 + 1/3 - 1/3*q + 1/3*q**4 - 2/3*q**x.
-(q - 1)**3*(q + 1)**2/3
Let t(m) be the second derivative of 0 - 1/120*m**6 - 1/8*m**2 + 1/24*m**4 + 0*m**3 - m + 0*m**5. Solve t(p) = 0.
-1, 1
Suppose 3*h = -4*b - 3, 4*b = h - 7 + 24. Let q(m) be the first derivative of b - 1/2*m**4 + 4*m - 4/3*m**3 + m**2. Determine u