 + 5*y**5/4 - 5*y**4/18 + 57*y. Suppose c(a) = 0. Calculate a.
0, 2/13, 1
Let u(y) = -y**3 - y**2 + 4*y. Let x be u(3). Let a = x + 28. Factor 48 - n**3 - 4*n - a*n**2 - 48.
-n*(n + 2)**2
Let q = -10055 - -10058. Factor -1/2*a**3 - q - 13/2*a - 4*a**2.
-(a + 1)**2*(a + 6)/2
Let k = 24 + -18. Let g be (1/k)/(15/6 + -2). Solve 0 + 1/6*f**4 + 1/2*f**3 + 0*f + g*f**2 = 0 for f.
-2, -1, 0
Factor -3/2*l**4 - 27/2*l**2 + 0 + 15*l**3 + 0*l.
-3*l**2*(l - 9)*(l - 1)/2
Let h(p) = -27*p**5 - 15*p**4 - 13*p**3 + 5*p**2 + 5*p + 3. Let z(b) = 8*b**5 + 5*b**4 + 4*b**3 - 2*b**2 - 2*b - 1. Let c(d) = 4*h(d) + 14*z(d). Factor c(t).
2*(t - 1)*(t + 1)**3*(2*t + 1)
Let k(f) = -2*f**5 - 2*f**4 + 4*f**3 - 4*f**2 - 4*f. Let v(r) = -3*r + 0*r**2 + 4*r - 2*r**2 + r**4 + 3*r**2. Let o(w) = k(w) + 4*v(w). Factor o(n).
-2*n**3*(n - 2)*(n + 1)
Let c(o) = -o**2 - 6*o + 18. Let p be c(-8). What is l in -37*l**p - 4*l + 116*l**2 - 37*l**2 - 36*l**2 - 2*l**3 = 0?
0, 1, 2
Let j(c) = -c**3 + 7*c**2 - 10*c + 3. Let w be j(5). Find a, given that 2*a**4 - 3*a**w + 2*a**5 - 4*a**3 + 3*a**3 = 0.
-2, 0, 1
Let j(a) be the first derivative of -a**5/240 - a**4/16 - a**3/3 - 15*a**2/2 + 27. Let z(d) be the second derivative of j(d). Factor z(g).
-(g + 2)*(g + 4)/4
Let l = -1199/4 + 1209/4. Suppose -l*p**2 - 3/2 - 1/2*p**3 - 7/2*p = 0. Calculate p.
-3, -1
Suppose 8*u**2 - 3*u**3 - 3*u**4 - 11*u**2 - 3*u**3 + 0*u**2 + 0*u**3 = 0. Calculate u.
-1, 0
Factor -167/5*b - 6 - 11/5*b**2.
-(b + 15)*(11*b + 2)/5
Let h(k) = k**2 + 12*k + 12. Let i be h(-6). Let a = i - -24. Factor 0 + a*f - 2/5*f**5 + 0*f**4 + 2/5*f**3 + 0*f**2.
-2*f**3*(f - 1)*(f + 1)/5
Find l such that -l**5 - 6*l**5 - 39*l**4 - 24*l**3 + l**5 - 3*l**5 + 74*l**2 - 38*l**2 = 0.
-3, -2, 0, 2/3
Let l(z) be the first derivative of -1/10*z**6 - 3/10*z**2 + 0*z - 32 + 0*z**3 + 3/10*z**4 + 0*z**5. Factor l(w).
-3*w*(w - 1)**2*(w + 1)**2/5
Let s(r) = 21*r**2 + 65*r + 5. Let u(a) = 75*a**2 + 228*a + 18. Let o(y) = 18*s(y) - 5*u(y). What is n in o(n) = 0?
-10, 0
Let -61*b**3 + 118*b**2 - 24*b**2 - 86*b**3 - 5*b**5 + 45*b**4 + 7*b**3 - 80*b + 86*b**2 = 0. Calculate b.
0, 1, 2, 4
Let w(g) be the second derivative of 2/9*g**3 + 1/15*g**5 + 5/18*g**4 - 7/2*g**2 - 6*g + 0 - 1/10*g**6. Let x(r) be the first derivative of w(r). Factor x(p).
-4*(p - 1)*(3*p + 1)**2/3
Let c = -5/3 + 13/3. Solve 2/3*d**3 + 0 + 4/3*d**2 - c*d - 1/3*d**4 = 0.
-2, 0, 2
Let y(a) be the third derivative of 5*a**8/1344 + a**7/56 + a**6/48 - a**5/24 - 5*a**4/32 - 5*a**3/24 - a**2 - 23. Suppose y(j) = 0. What is j?
-1, 1
Let f(j) = j. Let b be f(2). Let k = 3101 - 3101. Find l, given that -1/2*l + k - 1/2*l**b = 0.
-1, 0
Let d = 32287 + -32284. Factor 0 + 4/3*n**d + 16/3*n**2 + 16/3*n.
4*n*(n + 2)**2/3
Let x(f) be the first derivative of -33*f**5/5 - 27*f**4/4 + 2*f**3 + 252. Factor x(k).
-3*k**2*(k + 1)*(11*k - 2)
Let p = 691 - 3453/5. Find b, given that -p*b + 1/5*b**3 + 0 - 1/5*b**2 = 0.
-1, 0, 2
Let m(i) be the third derivative of i**8/9240 - i**7/1540 - i**6/1980 + i**5/220 - i**3/3 - 6*i**2. Let y(p) be the first derivative of m(p). Factor y(q).
2*q*(q - 3)*(q - 1)*(q + 1)/11
Let a = -271 + 273. Factor 0 - 4/9*g**a + 2/9*g**3 + 2/9*g.
2*g*(g - 1)**2/9
Suppose 0 = 19*a - 18*a - 3. Let z be (-76)/18 - -4 - 80/(-36). Solve 3/2*l**z + 3/2*l - a = 0 for l.
-2, 1
Let n = 431 - 53. Let p be ((-2)/(-8))/(14/n). Factor 9/2*z - 3/4*z**2 - p.
-3*(z - 3)**2/4
Let l(f) be the second derivative of -9*f**7/14 - 81*f**6/10 - 369*f**5/10 - 227*f**4/3 - 244*f**3/3 - 48*f**2 + 160*f. Let l(r) = 0. Calculate r.
-4, -3, -2/3
Let u(i) = -4*i**3 + 11*i**2 + 15*i + 2. Let d be u(-1). Factor 4/15*c**d - 2/5*c - 4/15.
2*(c - 2)*(2*c + 1)/15
Suppose -5*h = -2*z - 2 - 45, 0 = 5*z + 5. Let p = 11 - 8. Factor -n - 4*n**2 + h*n**3 - 6*n**p + 4 - n**3 - n.
2*(n - 2)*(n - 1)*(n + 1)
Let y(w) be the second derivative of -7*w**4/60 - w**3/10 + 2*w**2/5 + 47*w. What is d in y(d) = 0?
-1, 4/7
Let t(z) = 171*z - 1708. Let c be t(10). Let -c*v - 4 - 1/4*v**2 = 0. What is v?
-4
Let q(x) be the first derivative of 1/5*x**3 + 3/5*x**2 - 9 - 9/5*x. Factor q(c).
3*(c - 1)*(c + 3)/5
Let k(j) be the second derivative of 1/5*j**5 - 19*j - 1/3*j**4 + 0*j**2 + 0 - 4/3*j**3. Factor k(p).
4*p*(p - 2)*(p + 1)
Let w(m) be the second derivative of m**8/336 + 2*m**7/105 + m**6/40 - m**5/15 - m**4/6 - 9*m**2/2 + 3*m. Let j(l) be the first derivative of w(l). Factor j(q).
q*(q - 1)*(q + 1)*(q + 2)**2
Let c(a) be the first derivative of -3*a**5/20 + 9*a**4/4 - 12*a**3 + 24*a**2 - 148. Determine x so that c(x) = 0.
0, 4
Let o be ((-10)/(-25))/(30/(-25))*0. Determine t, given that 3/2*t + 1/2*t**2 + o = 0.
-3, 0
Determine v, given that -36/11*v + 0 - 2/11*v**2 = 0.
-18, 0
Suppose 274*z = 269*z + 20. Let o(c) be the second derivative of 5*c + 0*c**2 - 1/50*c**5 + 0*c**3 + 0 - 1/30*c**z. Factor o(a).
-2*a**2*(a + 1)/5
Determine t, given that -29*t**4 - 38*t**3 + 32 + 11*t**4 + 8*t**4 + 0*t**4 + 4*t**5 + 32*t**2 + 88*t = 0.
-2, -1, -1/2, 2, 4
Let n(d) = d + 2. Let o be n(1). Let g = o - 5/2. Factor -1/2*r**4 + 1/2*r + 0 + 1/2*r**2 - g*r**3.
-r*(r - 1)*(r + 1)**2/2
Let n(b) = -b**2 - 39*b - 358. Let a be n(-15). Let z(m) be the second derivative of -5*m + 0 - 1/2*m**3 + 1/2*m**4 + 0*m**a. Find v such that z(v) = 0.
0, 1/2
Let a(h) be the first derivative of h**4/4 + 2*h**3/9 - h**2/2 - 2*h/3 + 41. Factor a(k).
(k - 1)*(k + 1)*(3*k + 2)/3
Let b(k) be the first derivative of -k**8/5040 - k**7/2520 + k**6/540 - 2*k**3 + 14. Let x(g) be the third derivative of b(g). Suppose x(f) = 0. What is f?
-2, 0, 1
Let c be ((-6)/8)/((-3)/36). Suppose -h - 2*h = -c. Factor h*l**3 + 2*l**2 + 4*l**2 - 3*l**2.
3*l**2*(l + 1)
Determine d, given that 3*d**5 + 15*d**3 - 33402*d**2 - 24*d**3 + 0*d**4 - 6*d**4 + 12*d + 33414*d**2 = 0.
-1, 0, 2
Let v = -10630/13 - -818. Let z(i) be the first derivative of -1/26*i**4 + 16/13*i - 6 - 1/39*i**6 + v*i**2 + 8/65*i**5 - 20/39*i**3. Solve z(h) = 0 for h.
-1, 2
Let j(t) be the second derivative of -9*t**4/4 - 28*t**3 - 18*t**2 - 6*t + 4. Let j(q) = 0. Calculate q.
-6, -2/9
Let 2/3 + 0*v**2 - v + 1/3*v**3 = 0. Calculate v.
-2, 1
Let c(o) = 25*o**4 + 205*o**3 + 130*o**2 - 325*o. Let s(x) = -2*x**4 - 17*x**3 - 11*x**2 + 27*x. Let k(t) = 3*c(t) + 35*s(t). Factor k(d).
5*d*(d - 1)*(d + 2)*(d + 3)
Let r = 12260 + -12255. Factor 0*d**2 - 3*d**r + 0*d**3 + 2/3*d**4 + 0*d + 0.
-d**4*(9*d - 2)/3
Let l(d) be the second derivative of d**4/36 + 31*d**3/18 - 17*d**2 + 500*d. Factor l(f).
(f - 3)*(f + 34)/3
Let u be ((-27)/(-18) + -3)/((-3)/6). Find x, given that -3/5*x**2 - 6/5*x + 0 + 3/5*x**u = 0.
-1, 0, 2
Factor -4*h**2 + 27*h + 85*h - 153 - 631.
-4*(h - 14)**2
Let w = -536 - -524. Let n(t) = -3*t**3 + 7*t**2 - 4*t + 4. Let g(v) = -v**2 + 3*v**3 + 1 + 2*v**2 - v - 4*v**3. Let p(c) = w*g(c) + 3*n(c). Factor p(z).
3*z**2*(z + 3)
Let s(l) be the third derivative of 16*l**2 - 4/3*l**3 - 1/30*l**6 + 0*l**5 + 0 + 0*l + 1/2*l**4. Factor s(v).
-4*(v - 1)**2*(v + 2)
Let 8 - 8*j**2 + 0 + 4*j + 65*j**3 - 69*j**3 = 0. What is j?
-2, -1, 1
Let y(b) be the first derivative of -b**4/20 + 2*b**3/3 - 146. Factor y(p).
-p**2*(p - 10)/5
Let j = 124/5 - 123/5. Let q(i) be the second derivative of 0*i**2 + 0*i**3 - 3/20*i**5 + 0 + 0*i**4 - i + j*i**6 - 1/14*i**7. Find c such that q(c) = 0.
0, 1
Let r be (0 - -15) + (-2985)/199. Let f = 25/39 + -4/13. Factor r*x - 1/3*x**2 - f*x**3 + 0.
-x**2*(x + 1)/3
Let k(u) be the first derivative of -u**6/120 - u**5/20 - u**4/16 + 5*u - 12. Let f(t) be the first derivative of k(t). Suppose f(n) = 0. Calculate n.
-3, -1, 0
Let u(f) be the third derivative of 4*f**2 + 0*f + 0 + 1/15*f**6 + 1/6*f**4 + 0*f**3 + 1/105*f**7 + 1/6*f**5. Suppose u(b) = 0. What is b?
-2, -1, 0
Suppose -2*v + 61 = 3*s - 2*s, v + s = 31. Factor -91*w**2 - 4 - 22*w - v*w - 78*w**2.
-(13*w + 2)**2
Let k(i) be the first derivative of 5/2*i**2 - 2/9*i**3 + 9 - 1/180*i**5 - 5/72*i**4 + 0*i. Let y(t) be the second derivative of k(t). Factor y(x).
-(x + 1)*(x + 4)/3
Let y be 9/12*(-2 - -4). Let i be 30/(-5) + (-12 - -5)/(-1). Factor -1/2*q**2 - y*q - i.
-(q + 1)*(q + 2)/2
Find t, given that 5*t**2 - 4*t**3 + t**4 - 12 + 2*t**2 - 8*t**2 + 0*t**2 + 16*t = 0.
-2, 1, 2, 3
Let m be 1 - 2 - (-40 - -2). Let p = -35 + m. Factor p*h**5 - 2*h**4 - 7