2/3 + 1/3*w**2 + 1/3*w.
(w - 1)*(w + 2)/3
Let s(f) be the third derivative of -f**6/300 - 23*f**5/150 - 143*f**4/60 - 121*f**3/15 - 13*f**2 - f. Suppose s(r) = 0. What is r?
-11, -1
Let f(o) be the second derivative of -o**5/90 + o**4/54 + o**3/27 - o**2/9 - 7*o. Find x such that f(x) = 0.
-1, 1
Let d be (-8 + 6)/(2/(-3)). Determine c so that 1/3*c - 1/6*c**4 + 1/6 - 1/3*c**d + 0*c**2 = 0.
-1, 1
Let f(o) be the second derivative of 1/45*o**6 - 3*o + 0 - 1/6*o**2 + 1/6*o**3 - 1/36*o**4 - 1/20*o**5. Factor f(b).
(b - 1)**2*(b + 1)*(2*b - 1)/3
Let u(k) = 44*k**3 - 71*k**2 - 18*k. Let w(i) = 15*i**3 - 24*i**2 - 6*i. Let x(y) = -3*u(y) + 8*w(y). Find n such that x(n) = 0.
-1/4, 0, 2
Let n(t) = t**2 + 8*t + 7. Let y be n(-7). Factor y + 2*z**3 - 2/3*z**4 + 0*z - 4/3*z**2.
-2*z**2*(z - 2)*(z - 1)/3
Let w = 5757/5 + -1151. Factor -2/5 + 2/5*g**2 + w*g - 2/5*g**3.
-2*(g - 1)**2*(g + 1)/5
Let i(c) = 4*c**2 - 13*c + 4. Let g(k) = -10*k**2 + 32*k - 10. Let o be ((-9)/2)/(3/(-8)). Let h(x) = o*i(x) + 5*g(x). Suppose h(a) = 0. Calculate a.
1
Find j, given that 0 + 1/3*j**3 - 4/3*j**2 + j = 0.
0, 1, 3
Let c(g) be the first derivative of -g**6/9 - 4*g**5/15 + g**4/6 + 4*g**3/9 - 6. Determine i so that c(i) = 0.
-2, -1, 0, 1
Let h = 212/3 + -70. Let -1/3*u**2 + u - h = 0. What is u?
1, 2
Let a(q) be the second derivative of 3*q**5/80 - q**3/8 - 7*q. Let a(h) = 0. Calculate h.
-1, 0, 1
Suppose -h + 2*m - 1 = 1, 0 = 3*h - 2*m - 2. Let -4*r**3 + 3*r**h + r**3 + 0*r**3 = 0. What is r?
0, 1
Let b(q) be the first derivative of -q**7/42 - 2*q**6/15 - q**5/4 - q**4/6 - 3*q - 1. Let v(t) be the first derivative of b(t). Factor v(m).
-m**2*(m + 1)**2*(m + 2)
Suppose -5 - 1 = -3*q. Suppose 3*o**3 - 2*o**q - 3*o - o**2 + 1 + 0 + 2 = 0. Calculate o.
-1, 1
Let t(o) be the second derivative of o**6/15 + 2*o**5/5 + 2*o**4/3 + 4*o. Solve t(z) = 0.
-2, 0
Let o(q) be the second derivative of -q**7/840 - q**6/240 - q**4/4 + 4*q. Let f(n) be the third derivative of o(n). Suppose f(h) = 0. Calculate h.
-1, 0
Let q(r) be the third derivative of -r**8/336 + r**6/30 - r**5/30 - r**4/8 + r**3/3 + r**2. Suppose q(m) = 0. Calculate m.
-2, -1, 1
Let z(w) be the second derivative of -w**7/1260 + w**5/60 + 5*w**4/12 - w. Let n(k) be the third derivative of z(k). Solve n(s) = 0 for s.
-1, 1
Factor 0*k**3 + 0*k**2 + 0*k - 6/5*k**5 + 0 - 12/5*k**4.
-6*k**4*(k + 2)/5
Let m(s) be the second derivative of 0 + 3/8*s**2 - 3/40*s**5 + 3/8*s**3 + 1/8*s**4 - 2*s - 3/40*s**6 - 1/56*s**7. Suppose m(d) = 0. What is d?
-1, 1
Suppose -5*n = -n. Factor -3*m**2 + 3*m + n*m - 2*m + m**2 + 2*m**4 - m**5.
-m*(m - 1)**3*(m + 1)
Suppose y = -5*d + 10, 3*d - 3*y - 3 = 3. Let f(q) be the second derivative of -2/27*q**3 + 0 + 1/9*q**d + 1/54*q**4 + 2*q. Suppose f(l) = 0. Calculate l.
1
Let -1/3*t**4 + 0*t + 0 - 1/3*t**2 + 2/3*t**3 = 0. Calculate t.
0, 1
Suppose 2*t - a - 1 + 6 = 0, -2*t + 10 = 2*a. Factor 1/3*f**3 + 1/3*f**5 + t*f**2 + 2/3*f**4 + 0 + 0*f.
f**3*(f + 1)**2/3
Let t(o) = 17*o - 6*o**4 + 11*o**2 + 9*o - 9*o + 5 + 10 - 11*o**3. Let a(g) = 3*g**4 + 5*g**3 - 6*g**2 - 9*g - 7. Let c(v) = -7*a(v) - 3*t(v). Factor c(y).
-(y - 2)*(y + 1)**2*(3*y + 2)
Solve 64/3 - 20/3*i**3 - 112/3*i - 112/3*i**2 = 0 for i.
-4, -2, 2/5
Let r(w) be the first derivative of -w**4/18 - 8*w**3/27 - 8. Factor r(c).
-2*c**2*(c + 4)/9
Factor 0 + 14/9*w + 2/9*w**2.
2*w*(w + 7)/9
Let f = -5 + 10. Find i, given that 2*i**5 + 18*i**2 + 9*i**4 - 9*i**3 - f*i**5 - 15*i**2 = 0.
0, 1
Let m(d) be the second derivative of -5/4*d**4 + 0 - 7/10*d**6 - 27/20*d**5 - d + 0*d**2 - 1/2*d**3 - 1/7*d**7. Find w such that m(w) = 0.
-1, -1/2, 0
Let h be 0 - (-4 + -1)/1. Factor 1/4*b + 0*b**3 + 0 + 1/2*b**4 - 1/2*b**2 - 1/4*b**h.
-b*(b - 1)**3*(b + 1)/4
Let u = -415/2 + 208. Determine k, given that -1/2*k + 1/2*k**3 + u*k**2 - 1/2 = 0.
-1, 1
Let c = 38 - 42. Let y be c + ((-320)/15)/(-4). Factor -y*s**2 + 0 - s**3 - 1/3*s.
-s*(s + 1)*(3*s + 1)/3
Let v = 940 + -935. Factor 0*c**2 - 1/2*c**v + 0*c**4 + c**3 + 0 - 1/2*c.
-c*(c - 1)**2*(c + 1)**2/2
Let f(p) = 2*p**5 + 3*p**4 - 2*p**2 + p + 1. Let h(b) = b**2 - b - 1. Let r(x) = 5*f(x) + 5*h(x). Find k, given that r(k) = 0.
-1, 0, 1/2
Let q(p) = p + 1. Let w be q(2). Suppose 2*z - 5 = -2*z + w*v, 5*v = -5*z + 15. Factor 0*i + 4/7*i**z + 0 + 6/7*i**3.
2*i**2*(3*i + 2)/7
Let r(j) be the first derivative of -j**5/25 + j**4/10 - j**2/5 + j/5 - 2. Find c, given that r(c) = 0.
-1, 1
Suppose 0 = -5*l - 2 + 12. Let t be 6*l/(-9)*-3. Solve -5*w + 3*w + w**5 - 3*w**5 + t*w**3 = 0.
-1, 0, 1
Let z be (-7*1)/(44/8). Let g = z + 67/44. Let 0 + g*o**2 + 1/4*o = 0. Calculate o.
-1, 0
Let p = 7 + -2. Suppose -p*j - 2*g + 11 = -11, 0 = -4*j - 3*g + 19. Factor 0*v**2 + 2/7*v**5 + 0*v + 0 + 2/7*v**3 + 4/7*v**j.
2*v**3*(v + 1)**2/7
Suppose -4*x + 8 = -4*t, -4*x - 31*t + 36*t + 10 = 0. Let -4/15*g**3 + 2/3*g**4 + 4/15*g + x - 2/3*g**2 = 0. What is g?
-1, 0, 2/5, 1
Determine j so that 0 + 2/11*j**5 - 2/11*j - 4/11*j**4 + 0*j**3 + 4/11*j**2 = 0.
-1, 0, 1
Suppose 4*c + 32 = -5*d + 3*d, -4*c = 4*d + 40. Let o(g) = 23*g**3 + 17*g**2 - g - 12. Let q(l) = 4*l**3 + 3*l**2 - 2. Let b(n) = c*o(n) + 34*q(n). Factor b(s).
-2*(s - 2)*(s + 1)**2
Let t(x) be the third derivative of 0*x**4 + 1/210*x**7 + 0*x + 2*x**2 + 0 + 0*x**6 + 0*x**5 + 0*x**3. Factor t(r).
r**4
Factor -2/11*f**5 - 2/11*f**4 + 6/11 + 2*f + 12/11*f**3 + 28/11*f**2.
-2*(f - 3)*(f + 1)**4/11
Let g(d) = d**2. Let z be g(3). Suppose -3*p + 21 = z. Suppose 6*y**2 - 3 - 4*y**2 + 5 + p*y = 0. Calculate y.
-1
Let k(m) be the second derivative of -m**4/60 - 7*m**3/30 - 3*m**2/5 + 53*m. Factor k(i).
-(i + 1)*(i + 6)/5
Let o(j) be the first derivative of -2 - 4/3*j**2 - 4/3*j**3 + 16/3*j - 2/15*j**5 + 5/6*j**4. Let o(y) = 0. Calculate y.
-1, 2
Solve 4*n**3 + 6*n**2 - n**2 + 10*n - 9*n**3 = 0 for n.
-1, 0, 2
Let v(b) be the first derivative of -b**7/1365 - b**6/195 - b**5/78 - b**4/78 + b**2 - 4. Let m(n) be the second derivative of v(n). Factor m(c).
-2*c*(c + 1)**2*(c + 2)/13
Let z(m) be the third derivative of -m**6/30 - m**5/15 + m**4/3 - 15*m**2. Determine n, given that z(n) = 0.
-2, 0, 1
Suppose 0*v**2 - 1/3*v**3 - 4/3*v**4 + 0*v + 0 = 0. Calculate v.
-1/4, 0
Let b = 66 + -131/2. Factor -1/2 - b*g**3 - 3/2*g - 3/2*g**2.
-(g + 1)**3/2
Suppose -2*u = -0*u. Let p be (3/(-3) - u)*0. Determine r, given that -2*r**4 + 2*r**2 - 2*r**5 + 0*r**3 + 2*r**3 + p*r**3 = 0.
-1, 0, 1
Find u, given that -2/3*u - 4/9*u**2 + 0 + 2/9*u**3 = 0.
-1, 0, 3
Let p be (-110)/(-25) - 4/10. Factor -3*f + p*f - 2*f - 4 - 3*f - f**2.
-(f + 2)**2
Suppose -4*v + x + 3*x = -20, 7 = -v - 5*x. Let u be (v + (-38)/12)*-2. Factor -1/3*b**2 - u*b**3 + 1/3*b + 1/3.
-(b - 1)*(b + 1)**2/3
Let x(w) be the third derivative of -w**8/1680 + w**7/350 - w**6/200 + w**5/300 - 5*w**2. Find k such that x(k) = 0.
0, 1
Let y(p) be the first derivative of p**3/4 + 9*p**2/4 + 15*p/4 - 33. Determine b so that y(b) = 0.
-5, -1
Let h(y) = y**3 + 4*y**2 - 4*y + 5. Let x be h(-5). Let o be x - 4 - -5 - -3. Solve 0 + 7/4*z**3 + o*z**2 + z = 0.
-2, -2/7, 0
Let y = -25/33 + 12/11. Suppose 0*z + y*z**2 + 0 = 0. What is z?
0
Let c be 5/(3 + -13)*0. Factor 0*q**2 + 0 + 2/5*q**4 - 2/5*q**5 + 0*q + c*q**3.
-2*q**4*(q - 1)/5
Let -12 - 14*f - 9*f + 14*f**2 - 13*f + 7*f**2 = 0. What is f?
-2/7, 2
Suppose -3*i = -2*i - 4. Determine n, given that 4/7*n**2 - 2/7*n**i - 2/7 - 2/7*n + 4/7*n**3 - 2/7*n**5 = 0.
-1, 1
Let u(o) be the first derivative of -o**7/420 - o**6/240 + o**5/40 + 5*o**4/48 + o**3/6 + o**2/2 - 5. Let l(i) be the second derivative of u(i). Factor l(q).
-(q - 2)*(q + 1)**3/2
Let s(c) be the second derivative of c**4/6 - c**3 + 2*c**2 - 10*c. Find i, given that s(i) = 0.
1, 2
Let d(t) be the second derivative of -t**7/21 - 7*t**6/45 - t**5/9 + t**4/9 + t**3/9 - t**2/9 - 9*t. Solve d(x) = 0 for x.
-1, 1/3
Let b = 5 + -3. Factor t - 4*t**b - 4*t**4 - 2*t**5 + 6*t**3 + 3*t**5 + 0*t.
t*(t - 1)**4
Determine l, given that 0*l + 0 - 2/7*l**2 + 2/7*l**3 = 0.
0, 1
Suppose 2*z - 1 - 3 = 0. Let k(v) be the first derivative of -2/3*v + 0*v**z - 2/15*v**5 + 0*v**4 + 4/9*v**3 - 1. Find c such that k(c) = 0.
-1, 1
Let p be 6/(-8)*(-96)/60. Factor 0*x + 0 - p*x**3 - 2/5*x**2.
-2*x**2*(3*x + 1)/5
Let o(a) be the third derivative of a**5/25 + a**4/10 + a**3/