 + 1/4*k**5 + 0 - 26*k + 5/2*k**3 + 5/2*k**2. Find c such that l(c) = 0.
-1
Let y(r) be the first derivative of 0*r + 0*r**3 + 1/36*r**4 + 1/60*r**5 - 1/2*r**2 - 6. Let t(j) be the second derivative of y(j). Factor t(a).
a*(3*a + 2)/3
Let s(j) = 4*j - 9. Let c be s(4). Factor -n - 13 + 15 - c*n - 2*n**2 - 8.
-2*(n + 1)*(n + 3)
Let b be ((-1)/3)/((-7)/(12054/4)). Let x = -141 + b. Factor -1/2*h**3 + 2*h**2 + 1 - x*h.
-(h - 2)*(h - 1)**2/2
Let q = 110/17 - 313/51. Factor -1/3*k**2 + 0 + q*k + 1/3*k**4 - 1/3*k**3.
k*(k - 1)**2*(k + 1)/3
Let g(q) = -q**2 + 1. Let d(t) = 2*t**4 - 42*t**3 + 107*t**2 - 72*t + 5. Let i(c) = d(c) - 5*g(c). Factor i(f).
2*f*(f - 18)*(f - 2)*(f - 1)
Suppose 4*v = 5*v - 30. Let w be (0 + v + 1)*1. Suppose -w*m**5 + 21*m - 42*m**2 + 4*m**5 - 1 + 6*m**3 + 68*m**4 - 2 - 23*m**4 = 0. Calculate m.
-1, 1/3, 1
Suppose 3 = -3*d - 12, -3*t + 3*d + 24 = 0. Suppose -t*s = -3*s - 6*s. Determine x, given that s*x + 1/5*x**2 - 1/5 = 0.
-1, 1
Let o(d) be the third derivative of -1/20*d**5 - 3/8*d**4 - 3*d**2 - d**3 + 0*d + 0. Solve o(v) = 0.
-2, -1
Let h(w) be the second derivative of -3*w**5/4 + 10*w**4/3 + 25*w**3/2 + 10*w**2 - 15*w + 2. Find p, given that h(p) = 0.
-1, -1/3, 4
Let i(c) be the third derivative of c**9/4536 + c**8/3360 - c**7/5040 - 7*c**3/2 + 2*c**2. Let j(u) be the first derivative of i(u). Let j(s) = 0. What is s?
-1, 0, 1/4
Let k = 8 - -3. Let v = 14 - k. Factor 2*c**2 - 3*c**2 + 5*c**2 - 2*c - 9*c**4 - 5*c**v + 7*c**5 + 5*c**2.
c*(c - 1)**2*(c + 1)*(7*c - 2)
Let z(l) be the first derivative of 32/23*l - 8/23*l**2 - 9 + 2/69*l**3. Factor z(y).
2*(y - 4)**2/23
Let n = 13/150 - -2/25. Let q(d) be the second derivative of n*d**3 + 3*d + 0*d**2 + 1/12*d**4 + 0. Find w such that q(w) = 0.
-1, 0
Let h(g) be the second derivative of -5*g**7/126 - 23*g**6/90 - g**5/6 + 2*g**4/9 + 5*g + 11. Determine m, given that h(m) = 0.
-4, -1, 0, 2/5
Let f(u) be the first derivative of u**4/12 - 5*u**3/9 + u**2 - 25. Find y, given that f(y) = 0.
0, 2, 3
Factor 5/2 - 3*u + 1/2*u**2.
(u - 5)*(u - 1)/2
Let p be 155/28 + (-86)/301 + -5. Find w, given that -p*w + 1/4*w**2 + 1/4*w**3 - 1/4 = 0.
-1, 1
Suppose 0*a + 6*a = 12. Solve b**3 - 12*b**2 + 7*b**a + 4*b**2 = 0 for b.
0, 1
Let q(f) be the third derivative of f**7/70 + 3*f**6/10 - 3*f**5/20 - 19*f**4/4 - 12*f**3 + 9*f**2 - 3*f. Solve q(p) = 0.
-12, -1, 2
Suppose -18 = -40636*v + 40627*v. Factor -2/21*w**v - 8/21*w + 0.
-2*w*(w + 4)/21
Suppose 0 = -o - 5*t - 2, 5*o - o - 8 = -4*t. Suppose 0 = -5*l + 4*l. Suppose 0*g - 2/3*g**o + l - 2/3*g**2 = 0. Calculate g.
-1, 0
Let o(l) be the third derivative of l**8/84 + 2*l**7/35 + 3*l**6/10 + 7*l**5/15 + 32*l**2. Let c(x) = -x**4 - x. Let d(f) = -8*c(f) + o(f). Factor d(q).
4*q*(q + 1)**3*(q + 2)
Let q = -6659/3 + 2223. Factor 0 + q*u**2 - 2/3*u - 7/2*u**3.
-u*(3*u - 2)*(7*u - 2)/6
Let b(k) = 10*k**2 - 26*k + 18. Let g(u) = -u**3 + u**2 + u - 1. Suppose 12*c = 5*c + 7. Let w(y) = c*b(y) + 2*g(y). What is p in w(p) = 0?
2
Factor 32*n - 69*n - 8*n - 3*n**2 - 36*n.
-3*n*(n + 27)
Determine n so that 6*n**2 - 9*n**3 + 19*n**3 + 0*n**3 - 9*n**3 - 2*n**3 = 0.
0, 6
Let p(g) be the third derivative of -g**7/1470 + g**6/168 - g**5/140 - 5*g**4/168 + 2*g**3/21 + 95*g**2. Factor p(v).
-(v - 4)*(v - 1)**2*(v + 1)/7
Let k(h) be the first derivative of -1/18*h**4 - 16/3*h**2 + 4 + 8/9*h**3 + 128/9*h. Factor k(m).
-2*(m - 4)**3/9
Let v(r) be the second derivative of r**7/210 + 19*r**6/150 + 33*r**5/50 + 47*r**4/30 + 61*r**3/30 + 3*r**2/2 - 7*r - 4. Factor v(c).
(c + 1)**4*(c + 15)/5
Let l(v) be the first derivative of -v**6/3 - 2*v**5/5 + v**4/2 + 2*v**3/3 - 14. Let l(r) = 0. What is r?
-1, 0, 1
Let d(b) = -80*b**2 + 1675*b - 1430. Let g(r) = -3*r**2 + 62*r - 53. Let f(t) = -2*d(t) + 55*g(t). Find l, given that f(l) = 0.
1, 11
Factor -7/2*c**2 + 0 + 3/2*c - 5*c**3.
-c*(c + 1)*(10*c - 3)/2
Let i be 3/3 - (-7 + 6) - 2. Let n(d) be the first derivative of 6/65*d**5 + 2 + 0*d**4 + 0*d**2 + 1/39*d**6 - 8/39*d**3 + i*d. Factor n(s).
2*s**2*(s - 1)*(s + 2)**2/13
Let b(v) be the first derivative of -v**6/120 - v**5/8 - 3*v**4/4 + 43*v**3/3 + 46. Let s(f) be the third derivative of b(f). Factor s(u).
-3*(u + 2)*(u + 3)
Let r(j) = 16*j - 1. Let d be r(1). Let q = -11 + d. Factor 5*m**3 - 3*m**3 + 2*m**4 - q*m**3 - 2*m**2 + 2*m + 0*m**4.
2*m*(m - 1)**2*(m + 1)
Solve 20*c**2 - 65*c - 65*c**2 + 20*c**2 + 30 = 0 for c.
-3, 2/5
Let w(z) = -5*z**2 + 23*z - 15. Let c(d) = d. Suppose -3*r - 40 = -37. Let y(b) = r*w(b) + 3*c(b). Factor y(g).
5*(g - 3)*(g - 1)
Let x be (((-6)/(-1))/(-6))/(2/1138). Let y = x + 1723/3. Factor -1/3*z**2 - 8/3*z - y.
-(z + 4)**2/3
Let k = -3989/152 + 520/19. What is g in k*g**2 + 3/4*g + 0 + 3/8*g**3 = 0?
-2, -1, 0
Let s be (-42)/3*(-1)/2 + -3. Let b(x) be the second derivative of -23/180*x**5 - 1/9*x**2 + 0 - 7/270*x**6 - 1/4*x**s - 13/54*x**3 + 2*x. Factor b(k).
-(k + 1)**3*(7*k + 2)/9
Let f(z) be the second derivative of -z**9/1008 - z**8/280 + z**6/60 + z**5/40 + 17*z**3/6 - 21*z. Let k(s) be the second derivative of f(s). Solve k(b) = 0.
-1, 0, 1
Let b(i) be the second derivative of i**7/84 - 13*i**6/60 - 29*i**5/40 - 5*i**4/8 + i + 129. Let b(z) = 0. What is z?
-1, 0, 15
Suppose -3*d = -7*d. Let b = -5 + 21/4. Factor w**2 + d - b*w.
w*(4*w - 1)/4
Let j = 11019 + -55091/5. Factor -4/5*i**4 + 1/5*i**5 + j*i**3 + 0*i**2 + 0 + 0*i.
i**3*(i - 2)**2/5
Solve 1/3 + 4/3*p - 1/3*p**2 - 4/3*p**3 = 0.
-1, -1/4, 1
Find h, given that -4000 - 2/5*h**4 + 3840*h - 4208/5*h**2 - 192/5*h**3 = 0.
-50, 2
Let v(b) = -2*b**2 + 12*b - 8. Let d = 21 + -24. Let r(j) = -j**2 + 12*j - 8. Let x(q) = d*v(q) + 2*r(q). Factor x(a).
4*(a - 2)*(a - 1)
Factor -96/13 + 38/13*n - 2/13*n**2.
-2*(n - 16)*(n - 3)/13
Let r(w) be the first derivative of 3*w**4/20 + 9*w**3/5 - 51*w**2/5 + 72*w/5 - 87. Find p such that r(p) = 0.
-12, 1, 2
Let u(b) = 83*b**4 - 133*b**3 + 17*b**2 - 6*b. Let a(c) = 41*c**4 - 66*c**3 + 9*c**2 - 2*c. Let k(v) = 13*a(v) - 6*u(v). Factor k(x).
5*x*(x - 1)**2*(7*x + 2)
Let c(w) be the first derivative of -4*w**3/27 - 2*w**2/3 + 16*w/9 + 98. Determine q, given that c(q) = 0.
-4, 1
Suppose -p = 2*q - 15, -q = p - 5 - 14. Determine l, given that -25*l + l**4 - 3 - 5*l**2 - 3*l**3 + p*l + 3 + l**5 = 0.
-1, 0, 2
Let z(j) be the second derivative of 0 + 5/11*j**4 - 5/22*j**5 + 8/11*j**2 + 12/11*j**3 - 6*j. Factor z(u).
-2*(u - 2)*(5*u + 2)**2/11
Let o be (-5 + -5)*(2 - 3). Factor -4*s**3 - 7 - 16*s**2 - 1 + 30*s + 8*s**3 - o*s.
4*(s - 2)*(s - 1)**2
Let y(l) be the third derivative of -l**6/180 + 13*l**5/90 - l**4/3 - 306*l**2. Solve y(g) = 0 for g.
0, 1, 12
Let l(d) be the second derivative of -2*d**6/15 - 4*d**5/5 - d**4 + 8*d**3/3 + 8*d**2 - 37*d - 2. Factor l(f).
-4*(f - 1)*(f + 1)*(f + 2)**2
Let b be -1*((-4)/(-4) + 1) - -12. Let c**2 - 9*c**3 - c - 1 + 0*c**2 + 0*c**3 + b*c**3 = 0. What is c?
-1, 1
Suppose 204 = -3*r + 33. Let j = -57 - r. Factor j - 2/3*f + 2/3*f**2.
2*f*(f - 1)/3
Let f = -63 - -17. Let b = 325/7 + f. Factor 3/7*l**5 + 0 + 0*l**4 - b*l**3 + 0*l + 0*l**2.
3*l**3*(l - 1)*(l + 1)/7
Solve 823*a**4 - 2*a**5 + 5*a**3 - 821*a**4 + 4*a**3 - 5*a**3 = 0 for a.
-1, 0, 2
Let v(a) = 3*a**3 - 5*a**2 - 15*a - 7. Let j be v(-1). Solve 10/19*g + j + 2/19*g**2 = 0 for g.
-5, 0
Let x(z) be the first derivative of z**3/36 - 5*z**2/12 - 11*z/12 - 152. Factor x(f).
(f - 11)*(f + 1)/12
Let x = -2/9795 - -19612/107745. Factor -16/11*t + 32/11 + x*t**2.
2*(t - 4)**2/11
Let a = -40 - -81/2. Let o be 1 - -5 - (1 - -3). Factor -1/2*v**o + 0 + 0*v + a*v**4 + 0*v**3.
v**2*(v - 1)*(v + 1)/2
Let f(r) = 1 + 18*r - 6*r**2 - 14 + 9. Let m(a) = 0*a**2 + 3 + a**2 - 3 + a. Let p(x) = f(x) - 4*m(x). Determine c, given that p(c) = 0.
2/5, 1
Let d(w) be the third derivative of 13*w**5/60 + 17*w**4/4 - 8*w**3/3 + 23*w**2. Factor d(v).
(v + 8)*(13*v - 2)
Let b(r) = 9*r**2 + 2*r - 5. Let x(m) = 14*m**2 + m - 6. Let j(s) = 3*b(s) - 2*x(s). Suppose j(l) = 0. Calculate l.
1, 3
Let b(q) = 20*q**2 + 40*q + 15. Suppose -3*m + 3 = -6*m. Let u(x) = -x**2 - x + 1. Let t(j) = m*b(j) - 15*u(j). Factor t(f).
-5*(f + 2)*(f + 3)
Suppose 5 = 5*p + 21*b - 19*b, 2*p - 11 = b. Let o(f) be the first derivative of -5 + 1/15*f**p + 0*f - 1/10*f**2 - 1/25*f**5 + 1/20*f**4. Factor o(u).
-u*(u - 1)**2*(u + 1)/