 z(p) = 0?
0, 2/9, 1
Suppose -4 = -3*p + 8. Factor -9*c**p + 3*c**2 + 4*c**5 - 8*c**5 - 2*c**5.
-3*c**2*(c + 1)**2*(2*c - 1)
Let p(c) = -c + 16. Let f be p(7). Solve -7*u - u**4 + 0*u**4 - 5*u**3 - f*u**2 + 0*u**3 - 2 = 0.
-2, -1
Let g(c) be the first derivative of -c**6/120 - 11*c**5/120 + c**4/6 + 13*c**3 - 46. Let p(s) be the third derivative of g(s). Factor p(h).
-(h + 4)*(3*h - 1)
Let a = 2178 + -4353/2. Let i(w) be the second derivative of 0 + a*w**2 + w + 1/8*w**4 + 3/4*w**3. Factor i(x).
3*(x + 1)*(x + 2)/2
Let j(m) be the first derivative of -m**4/12 - 4*m**3/9 + 35*m**2/6 + 50*m + 284. Factor j(r).
-(r - 6)*(r + 5)**2/3
Let h(y) be the first derivative of -2*y**3/3 - 3*y**2 + 80*y - 42. Determine j, given that h(j) = 0.
-8, 5
Let w(y) = 19*y**3 + 14*y**2 + 101*y - 11. Let p(i) = -7*i**3 - 5*i**2 - 34*i + 4. Let s(m) = -11*p(m) - 4*w(m). Factor s(f).
f*(f - 6)*(f + 5)
Let v(n) be the second derivative of -n**8/67200 + n**7/5040 - n**6/900 + n**5/300 + 9*n**4/4 - 18*n. Let k(c) be the third derivative of v(c). Factor k(f).
-(f - 2)**2*(f - 1)/10
Suppose -3*t + 32 = d, 92 = 4*d - 2*t + 5*t. Suppose 4 = -4*m + d. Let 22*q**3 + 0*q**4 - 4*q**m - 2*q**5 - 24*q**3 = 0. Calculate q.
-1, 0
Let b(s) be the first derivative of -s**3 + 0*s**4 + 0*s + 12 + 3/5*s**5 + 0*s**2. Let b(t) = 0. Calculate t.
-1, 0, 1
Let f be ((-14)/14)/((-94)/8 - -1). Let g = f - -230/301. Solve -3/7 + g*i**2 - 3/7*i = 0 for i.
-1/2, 1
Let i(k) be the third derivative of 0*k**3 + 1/420*k**6 + 0*k + 1/35*k**5 + 3/28*k**4 - 13*k**2 + 0. Factor i(j).
2*j*(j + 3)**2/7
Let r = -9841/10 + 987. Let y = r - 5/2. Let 12/5*i**2 + 8/5*i + 8/5*i**3 + y + 2/5*i**4 = 0. Calculate i.
-1
Let q(l) = -l**5 + 6*l**4 + l**3. Suppose 51*h = 55*h - 12. Let y(f) = 2*f**5 - 11*f**4 - f**3. Let g(u) = h*y(u) + 5*q(u). Factor g(v).
v**3*(v - 2)*(v - 1)
Suppose -8 - 34 = -2*r. Let m = 28 + -24. Factor 32*i**m + 3*i**2 + 0*i**2 - 48*i**5 + r*i**3 - 8*i**4.
-3*i**2*(i - 1)*(4*i + 1)**2
Let h = -75 + 75. Let v(x) be the third derivative of -4*x**2 + 0 + 1/15*x**5 + 0*x**3 + h*x + 1/24*x**4. Factor v(b).
b*(4*b + 1)
Let q(y) be the second derivative of 1/24*y**4 + 0 + 0*y**3 + 9*y + 0*y**2 - 1/80*y**5. Factor q(c).
-c**2*(c - 2)/4
Let i = 132 + -42. Let h be (i/(-75))/((-2)/5). Factor 2*k**3 + k + 0*k**3 - 2*k**h - k**3.
-k*(k - 1)*(k + 1)
Factor 9*v - 17/2*v**2 + 0 - 1/2*v**3.
-v*(v - 1)*(v + 18)/2
Let i(h) = h**3 + 13*h**2 + 6*h - 16. Let u be i(-12). Factor -39*r**3 - u*r**2 - 59*r**3 + 44*r - 52*r.
-2*r*(7*r + 2)**2
Factor 45/4*d - 39/4*d**2 + 0 + 11/4*d**3 - 1/4*d**4.
-d*(d - 5)*(d - 3)**2/4
Let j be 152/70 - (2 + (-100)/70). Suppose -2*o - 1 + 5 = 0. Determine x so that -2/5*x**4 + 0 - j*x**3 + 0*x - 8/5*x**o = 0.
-2, 0
Let c be ((-19)/5)/((-12)/50). Let y = -29/2 + c. Factor -y*b - 2*b**2 - 2/3*b**3 + 0.
-2*b*(b + 1)*(b + 2)/3
Let l(t) be the first derivative of -t**4/18 - 20*t**3/27 + 52*t**2/9 - 112*t/9 - 706. Factor l(h).
-2*(h - 2)**2*(h + 14)/9
Let j(y) = 0*y - 3*y + 6*y - 4. Let q be j(2). Suppose -2*t**2 - t + 4 - 6*t**3 - q + 7*t**3 = 0. What is t?
-1, 1, 2
Factor -194481/5*l - 3/5*l**3 - 1323/5*l**2 - 9529569/5.
-3*(l + 147)**3/5
Let u(i) be the first derivative of -i**3/12 - 15*i**2/8 + 94. Factor u(n).
-n*(n + 15)/4
Suppose -12*r = -2*w - 7*r - 5, -3 = -3*w + 4*r. Factor 0 + 0*n + 0*n**2 - 3/2*n**w - 1/2*n**3 + 2*n**4.
-n**3*(n - 1)*(3*n - 1)/2
Let b(h) = -h**2 - 11*h - 1. Let t be b(-11). Let p be -1 + 4 - (t + 0). Suppose 69*f**p + 2*f**5 - 31*f**4 - 34*f**4 + 2*f**3 = 0. What is f?
-1, 0
Let v = -54 - -36. Let l(n) = -15*n**3 + 9*n**2 - 12*n + 18. Let t(s) = s**3 + s - 1. Let h(x) = -x**2. Let g be h(-1). Let o(p) = g*l(p) + v*t(p). Factor o(d).
-3*d*(d + 1)*(d + 2)
Let p(f) be the first derivative of f**6/6 + 23*f**5/5 + 21*f**4/2 - 2*f**3/3 - 43*f**2/2 - 21*f - 68. What is q in p(q) = 0?
-21, -1, 1
Find z such that -6 + 6 - 4 - 8*z - 3 - z**2 = 0.
-7, -1
Factor 353*y - 92*y + 4*y**2 - 117*y + 20 + 120.
4*(y + 1)*(y + 35)
Let i(j) = j**3 - 2*j**2 + j. Let w(d) = -9*d**3 - 42*d**2 - 321*d - 600. Let c(x) = -6*i(x) - w(x). Determine k so that c(k) = 0.
-8, -5
Let t(b) be the second derivative of -b**5/10 - b**4/8 + 3*b**3/4 - b**2/2 - 159*b. Factor t(r).
-(r - 1)*(r + 2)*(4*r - 1)/2
Let j = -295 - -295. Suppose j = q + 4*g - 3, 3*q - 2*q + 3*g = 3. Find t, given that -36/7*t**5 + 32/7 + 16/7*t + 96/7*t**4 - 104/7*t**2 - 4/7*t**q = 0.
-2/3, 1, 2
Factor -2/7*k**3 + 18/7*k - 6/7*k**2 + 54/7.
-2*(k - 3)*(k + 3)**2/7
Find s such that -18 + 5/2*s**2 + 0*s**4 + 15/4*s**3 - 15*s - 1/4*s**5 = 0.
-2, 3
Suppose 2*j - 4*p = 5*j - 9, -3*j + p = -9. Factor -12*b**2 + 3*b**2 - 70*b + j*b**2 - 245 + b**2.
-5*(b + 7)**2
Suppose -o - 11*o = -1008. Let j be ((-3)/(-1))/(18/o*7). Solve 1/2*g**j + 1/3*g**3 + 0 + 1/6*g = 0 for g.
-1, -1/2, 0
Let p = 4 + 1. Factor -o**3 + 2*o**3 + o**p - 2*o - 3*o**2 - 4*o**4 + 7*o**4.
o*(o - 1)*(o + 1)**2*(o + 2)
Let o(a) be the first derivative of a**3/3 + 3*a**2 + 2*a - 1. Let b be o(-6). Determine f, given that -2*f**2 + 6*f**2 - 3*f**b - f**4 = 0.
-1, 0, 1
Let d be (2/12)/(88/132). Factor -d*r**2 + 7/4 - 3/2*r.
-(r - 1)*(r + 7)/4
Let y(t) be the first derivative of -t**6/3 + 4*t**4 - 16*t**2 - 34. Factor y(m).
-2*m*(m - 2)**2*(m + 2)**2
Suppose r + 0 = 4*q - 11, 5*q - 16 = -r. Let n(t) be the second derivative of 0*t**2 + 0*t**q - 4*t + 0 - 1/6*t**4 - 1/10*t**5. Factor n(v).
-2*v**2*(v + 1)
Suppose 0 = -3*n + 6 - 0. Suppose -w**5 + 0*w**2 - 5*w**5 + 8*w**3 - 8*w**4 + 0*w**n = 0. Calculate w.
-2, 0, 2/3
Let s = -1731 + 1731. Suppose 1/4*c**5 - 1/4*c**4 - 1/4*c**3 + s*c + 1/4*c**2 + 0 = 0. Calculate c.
-1, 0, 1
Factor -77 - 81*j**2 - 3*j**3 + 32 + 9*j**3 - 132*j.
3*(j - 15)*(j + 1)*(2*j + 1)
Factor 289/3 + 6*r**2 - 1/6*r**3 - 119/2*r.
-(r - 17)**2*(r - 2)/6
Let t(w) be the third derivative of -w**6/30 + 2*w**5/15 + 10*w**4/3 + 16*w**3 + 12*w**2 + 5. Determine q, given that t(q) = 0.
-2, 6
Let f(c) be the first derivative of c**7/1260 - c**6/180 + c**5/60 - c**4/36 + c**3/36 - 25*c**2 + 23. Let g(p) be the second derivative of f(p). Factor g(k).
(k - 1)**4/6
Let i be 8 + -4 + 1 - 2. Factor 0*o**4 + 10*o**i - 10*o**4 - 5*o**2 + 5*o**4.
-5*o**2*(o - 1)**2
Suppose -18*q + 15*q - 6 = 0. Let p(z) = -z**2 + 6. Let f be p(q). Factor 1/2 + w + 1/2*w**f.
(w + 1)**2/2
Let w be (-1904)/(-245) - ((-100)/(-126) - (-8)/(-36)). Factor 86/15*h**3 - 78/5*h**2 + w + 54/5*h - 2/3*h**4.
-2*(h - 3)**3*(5*h + 2)/15
Let s(w) be the first derivative of -1 - w**2 + 0*w**3 - 1/180*w**6 + 1/90*w**5 + 0*w**4 + 0*w. Let i(l) be the second derivative of s(l). Factor i(c).
-2*c**2*(c - 1)/3
What is g in 90*g - 17 - 8*g**2 - 83 + 11 + 7*g**2 = 0?
1, 89
Let q(g) be the third derivative of -g**5/30 + 5*g**4/84 + 2*g**3/21 + 4*g**2. Find w such that q(w) = 0.
-2/7, 1
Let j(u) be the third derivative of u**6/300 - 2*u**5/75 - 7*u**4/15 - 32*u**3/15 + 53*u**2. Solve j(k) = 0 for k.
-2, 8
Factor -2/15*h**3 - 1682/15*h + 0 + 116/15*h**2.
-2*h*(h - 29)**2/15
Let x(r) = 34*r**3 - 58*r**2 - 58*r + 18. Let z(l) = -11*l**3 + 19*l**2 + 19*l - 6. Let w(s) = -5*x(s) - 16*z(s). Determine b so that w(b) = 0.
-1, 1/3, 3
Let r(m) = 20*m**5 - 5*m**4 + 15*m**3 - 15*m**2 - 15. Let t(i) = -i**5 + i**4 - 2*i**3 + i**2 + 1. Let d(x) = r(x) + 15*t(x). Factor d(k).
5*k**3*(k - 1)*(k + 3)
Let d(o) be the first derivative of -o**4/6 - 7*o**3/9 - o**2/3 + o + 112. Factor d(f).
-(f + 1)*(f + 3)*(2*f - 1)/3
Let k(g) be the third derivative of 4/3*g**4 + 1/6*g**5 + 0 + 4/3*g**3 + 0*g + 13*g**2 - 5/12*g**6. Factor k(y).
-2*(y - 1)*(5*y + 2)**2
Let v(f) be the first derivative of -f**4/2 + 4*f**3/3 + 9*f**2 - 36*f + 159. Determine q, given that v(q) = 0.
-3, 2, 3
Determine j so that 161 - 78*j + 8 - 3*j**2 - 565*j + 362 + 115*j = 0.
-177, 1
Let i(u) be the first derivative of u**6/540 + u**5/45 + u**4/12 - 2*u**3/3 - 9. Let h(d) be the third derivative of i(d). Suppose h(c) = 0. Calculate c.
-3, -1
Let s = -25349 - -25352. Factor 0 - 1/6*x + 1/6*x**2 + 1/6*x**s - 1/6*x**4.
-x*(x - 1)**2*(x + 1)/6
Factor -1/2*w**3 + 5*w**2 + 0 - 25/2*w.
-w*(w - 5)**2/2
Let l = -2536 + 2540. Factor 11/9*g**l + 0 - 11/9*g**2 + 2/9*g**3 - 2/9*g.
g*(g - 1)*(g + 1)*(11*g + 2)/9
Let o(b) = b**3 - 14*b**2 - 2*b + 31. Let n be 46/3 + (5 - 19/3). Let m b