of -w**6/15 - w**5/5 - w**4/6 - 2*w - 1. Let t(o) be the first derivative of f(o). What is h in t(h) = 0?
-1, 0
Factor -3/2*k**3 + 9/2*k + 0 + 3*k**2.
-3*k*(k - 3)*(k + 1)/2
Factor -84 - 3/7*r**2 + 12*r.
-3*(r - 14)**2/7
Let i(t) = -4*t**2 + 0*t - 4 - 5*t + 3*t. Let h(u) = 3*u**2 + 2*u + 3. Let r(l) = -3*h(l) - 2*i(l). Find n, given that r(n) = 0.
-1
Let b be (1 + -1)/(-1*2). Suppose 9*v + 3*k = 4*v + 23, v - 8 = -4*k. Factor -q**3 - 1/5*q - 4/5*q**2 - 2/5*q**v + b.
-q*(q + 1)**2*(2*q + 1)/5
Let f be (-2)/(-4 - -2) - -1. Factor 0*j**2 + 4 + 1 - 4*j - f*j**2 + 1.
-2*(j - 1)*(j + 3)
Let b(t) = 8*t**3 - 5*t**2 - 3*t. Let o(g) be the second derivative of -7*g**5/20 + g**4/3 + g**3/2 + 3*g. Let k(l) = -4*b(l) - 5*o(l). What is r in k(r) = 0?
-1, 0, 1
Let h(z) be the second derivative of -z**6/40 + 3*z**5/40 - z**4/16 + 3*z. Find w such that h(w) = 0.
0, 1
Factor -2*v**3 + 5*v**3 + 4*v**4 - 9*v**4 + 14*v**4.
3*v**3*(3*v + 1)
Suppose 20 = 8*f - 4*f. Let v(h) be the second derivative of 1/80*h**f + 1/24*h**3 - h + 1/24*h**4 + 0*h**2 + 0. Factor v(w).
w*(w + 1)**2/4
Suppose 26*m = 31*m - 25. Let 1/4*t**m + 1/2*t**2 - 1/4*t**4 - 1/4 + 1/4*t - 1/2*t**3 = 0. What is t?
-1, 1
Suppose d + 7 = 8*l - 7*l, d - 1 = -3*l. Determine a, given that 1/4*a + 0 - 1/4*a**l = 0.
0, 1
Let y = 689 - 685. Factor -2/9*s**2 + 2/9*s**3 + 4/9*s**y + 0 + 0*s.
2*s**2*(s + 1)*(2*s - 1)/9
Let p(o) = -2*o**4 + 3*o**3 - o**2 - 3. Let l(y) = -14 + 0*y**3 - 10*y**4 + 14*y**3 - 8*y**2 + 4*y**2. Let q(d) = 3*l(d) - 14*p(d). Factor q(v).
-2*v**2*(v - 1)*(v + 1)
Factor 17*s**3 - 13*s**3 - 16*s**3 - 6 + 9*s + 6*s**2 + 3*s**5.
3*(s - 1)**3*(s + 1)*(s + 2)
Let f(q) = 12*q**2 - 69*q - 228. Let p(t) = -t**2 + t - 1. Let k(g) = -f(g) - 15*p(g). Let k(a) = 0. Calculate a.
-9
Let f = -395/6 - -66. Let i(m) be the first derivative of -1/2*m**4 + 1/2*m**2 + f*m**6 + 0*m**5 + 0*m**3 - 2 + 0*m. Find r such that i(r) = 0.
-1, 0, 1
Let h = -8 - -11. Let o(a) be the second derivative of 1/8*a**2 + 1/24*a**h + 0 - 1/80*a**5 - 3*a - 1/48*a**4. Let o(k) = 0. What is k?
-1, 1
Let o(y) be the second derivative of -2*y**6/15 - y**5 - 4*y**4/3 - 18*y. Suppose o(s) = 0. What is s?
-4, -1, 0
Let c(i) be the second derivative of -i**6/60 + i**4/6 + 33*i. Factor c(r).
-r**2*(r - 2)*(r + 2)/2
Solve -2/5 - 1/5*c**2 - 3/5*c = 0.
-2, -1
Suppose 2 = 7*n - 12. Determine v, given that -2*v - 2/3 - 2/3*v**4 - n*v**5 + 4/3*v**2 + 4*v**3 = 0.
-1, -1/3, 1
Let g(z) = z**3 + 4*z**2 + z - 2. Let i be g(-3). Let h = -5 + i. Let y(b) = b**3 + 3*b + 1. Let u(w) = -w**2. Let n(m) = h*y(m) + 3*u(m). Factor n(a).
-(a + 1)**3
Let d(k) = k**2 + 64*k + 253. Let x(t) = 8*t**2 + 576*t + 2276. Let q(m) = -28*d(m) + 3*x(m). Find p, given that q(p) = 0.
-8
Factor -1/2*g**2 - 2*g - 3/2.
-(g + 1)*(g + 3)/2
Let 5*d**2 + 3*d**2 + 12*d**2 + 27*d**3 - 22*d**3 = 0. What is d?
-4, 0
Determine f so that 0 - 2/11*f + 2/11*f**2 = 0.
0, 1
Let i = 92 + -92. Suppose i - 2/9*m - 2/9*m**2 = 0. What is m?
-1, 0
Let g be (-5)/(-2)*20/25. Let x be 3*(g + (-48)/27). Find q, given that 0 + 2/3*q**2 - 2/3*q**4 + 2/3*q**3 - x*q = 0.
-1, 0, 1
Suppose -5*n = 4*h - 30, 0 = -4*n - 2*h + 6 + 12. Factor -1/4*o**5 - 5/4*o**4 - 2*o**3 - o**n + 0 + 0*o.
-o**2*(o + 1)*(o + 2)**2/4
Let w(z) = -9*z**3 + z**2 + 14*z - 1. Suppose -9 = 4*k - 29. Let l(j) = -5*j**3 + 7*j. Let q(t) = k*l(t) - 2*w(t). Suppose q(a) = 0. Calculate a.
-1, -2/7, 1
Suppose 213 + 2 = 5*o. Factor o*f**3 - 24*f - 16*f**3 + 0*f + 9*f**2 - 12.
3*(f - 1)*(3*f + 2)**2
Let g(t) = 15*t**4 - 75*t**3 - 18*t. Let a(y) = -7*y**4 + 38*y**3 + 8*y. Let w(k) = 9*a(k) + 4*g(k). What is s in w(s) = 0?
0, 14
Let x = -4 + 16/3. Let n(o) be the first derivative of 1/2*o**4 + 1 + o**2 + 0*o - x*o**3. Find y, given that n(y) = 0.
0, 1
Let s(f) be the first derivative of f**5/50 + f**4/15 - 5*f - 1. Let t(w) be the first derivative of s(w). Find x, given that t(x) = 0.
-2, 0
Let p = -19 - -87. Let a be 4/18 - p/(-18). Factor -r - 7*r**3 - r - 2*r**a - 6*r**2 + r**3.
-2*r*(r + 1)**3
Let -8/9*h - 8/3*h**2 - 22/9*h**3 + 0 - 2/3*h**4 = 0. Calculate h.
-2, -1, -2/3, 0
Factor 3/2*h**3 - 1/2*h**4 + 0 + 0*h**2 - 2*h.
-h*(h - 2)**2*(h + 1)/2
Let m(s) be the third derivative of -1/90*s**5 + 0*s - 1/180*s**6 + 0*s**3 + 0 - 5*s**2 + 1/18*s**4. Factor m(w).
-2*w*(w - 1)*(w + 2)/3
Let v be (-104)/39 - (-3 + (2 - 2)). Factor 5/3*d - 1/3*d**3 + d**2 + 2/3 - v*d**4.
-(d - 2)*(d + 1)**3/3
Find m such that -1/4*m**4 + 0*m**3 + 0*m**2 + 1/4*m**5 + 0 + 0*m = 0.
0, 1
Let p be ((-1)/2)/(2/4). Let b be (4/(-12))/(p/9). Factor -1/2*l + 1/2*l**b + 0*l**2 + 0.
l*(l - 1)*(l + 1)/2
Let y be (-5 + 4)/(5 + -7). Factor 3/2*g**2 - g - y*g**3 + 0.
-g*(g - 2)*(g - 1)/2
Let b(t) be the third derivative of t**5/45 + 5*t**4/72 + t**3/18 + 17*t**2. Factor b(q).
(q + 1)*(4*q + 1)/3
Let h(z) = -9*z**2 + 15*z - 4. Let n(v) = -35*v**2 + 60*v - 15. Let q(m) = -15*h(m) + 4*n(m). What is w in q(w) = 0?
0, 3
Let s(r) = -12*r**3 - 19*r**2 + 29*r + 53. Let b(z) = 4*z**3 + 6*z**2 - 10*z - 18. Let t(o) = -17*b(o) - 6*s(o). Factor t(q).
4*(q - 1)*(q + 1)*(q + 3)
Let -9/2*f**2 + 0*f - 1/2*f**4 + 3*f**3 + 0 = 0. Calculate f.
0, 3
Let c be 146/48 - (2 - -1). Let i(a) be the third derivative of 1/60*a**5 + 0 - c*a**4 - a**2 + 1/60*a**6 + 0*a + 0*a**3. Factor i(w).
w*(w + 1)*(2*w - 1)
Let r = -2 + 2. Suppose 3*y - 8 = -y. Factor -4/7*l**y + r + 2/7*l**3 + 2/7*l.
2*l*(l - 1)**2/7
Let k = 66 + -16. Factor -3*q + q**2 - q**4 - k*q**3 + 2*q + 51*q**3.
-q*(q - 1)**2*(q + 1)
Suppose 120*i = 113*i. Determine o so that i - 1/6*o**2 - 1/6*o = 0.
-1, 0
Let w(b) = -8*b**4 + 0*b - 5*b**3 - 5 - b**4 + 4*b**2 + 0*b. Let q(m) = -4*m**4 - 2*m**3 + 2*m**2 - 2. Let i(a) = 5*q(a) - 2*w(a). Factor i(c).
-2*c**2*(c - 1)*(c + 1)
Let v be 3/((-4)/((-8)/3)). Factor 2*d + 0*d + v*d**2 + 0*d + 0*d**2.
2*d*(d + 1)
Let f = 153 - 763/5. Factor -4/5 + 2/5*w**2 + 6/5*w**3 + f*w**4 - 6/5*w.
2*(w - 1)*(w + 1)**2*(w + 2)/5
Suppose -1 + 9 = 2*i. Let h = i - 1. Factor -o**h - 1 - 2*o**2 + 0*o**3 + o + 3*o**2.
-(o - 1)**2*(o + 1)
Let u be 2/6*12/14. Factor -2/7*a**3 + 0*a + 0 - 2/7*a**4 + u*a**5 + 2/7*a**2.
2*a**2*(a - 1)**2*(a + 1)/7
Let g(w) be the third derivative of -9/55*w**5 + 9/11*w**4 + 0 + 1/55*w**6 - 27/11*w**3 - 1/1155*w**7 + 0*w - 10*w**2. Determine p, given that g(p) = 0.
3
Let t(d) be the third derivative of d**8/1120 - d**7/280 - d**6/240 + d**5/40 + 5*d**3/6 + 2*d**2. Let f(a) be the first derivative of t(a). Solve f(o) = 0.
-1, 0, 1, 2
Let u(g) be the third derivative of -g**8/60480 - g**7/5040 - g**6/1080 + g**5/30 + 2*g**2. Let v(i) be the third derivative of u(i). Factor v(t).
-(t + 1)*(t + 2)/3
Let h(z) be the first derivative of z**6/12 - 3*z**5/5 + 9*z**4/8 + 2*z**3/3 - 3*z**2 + 22. Let h(y) = 0. Calculate y.
-1, 0, 2, 3
Let r be 6*(-3)/(-15) + -1. Let t(p) be the first derivative of 4/15*p**3 + 1 - r*p**2 - 1/10*p**4 + 0*p. Factor t(w).
-2*w*(w - 1)**2/5
Let f(h) = h**2 - 61*h - 512. Let k(o) = -2*o**2 + 60*o + 512. Let y(b) = 4*f(b) + 3*k(b). Factor y(a).
-2*(a + 16)**2
Let x = 2 - 3. Let p be 1 + 2 + (x - 0). Factor l**2 + l**4 + 2*l**2 + 1 - 5*l**p.
(l - 1)**2*(l + 1)**2
Suppose 0 = -7*q + 6*q + 4. Let a(p) be the second derivative of -5/6*p**6 - 2*p**2 + 3/2*p**5 - 2*p**3 + 2*p + 11/12*p**q + 0. Factor a(w).
-(w - 1)**2*(5*w + 2)**2
Factor 2/5*t**5 + 4*t**3 + 2*t**4 + 4*t**2 + 2/5 + 2*t.
2*(t + 1)**5/5
Let r(a) be the second derivative of 1/30*a**4 + 7*a + 0*a**3 + 1/150*a**6 - 3/100*a**5 + 0*a**2 + 0. Factor r(l).
l**2*(l - 2)*(l - 1)/5
Let k(n) be the third derivative of n**8/336 - n**7/210 - n**6/120 + n**5/60 + 6*n**2. Factor k(v).
v**2*(v - 1)**2*(v + 1)
Let g(i) = -20*i**2 + 20*i + 11. Let z(a) = 4*a**2 - 4*a - 2. Let x(r) = 2*g(r) + 11*z(r). Find j, given that x(j) = 0.
0, 1
Let a be (2/(-5) + -1)*(-2510)/1004. Factor -a*o + 1/2 + 3*o**2.
(o - 1)*(6*o - 1)/2
Suppose -21*h + 10 + 32 = 0. Let -7/2*b**h + 0 - 5/2*b**3 - b = 0. Calculate b.
-1, -2/5, 0
Let o(k) be the first derivative of -4*k**5/5 + 4*k**3/3 + 5. Let o(v) = 0. Calculate v.
-1, 0, 1
Let f = -81 - -165/2. Determine b, given that -b**3 - b - 1/4*b**4 - f*b**2 - 1/4 = 0.
-1
Suppose 3*q**2 - 14*q**3 - q**3 - q**2 - q**4 - 20*q**5 + 34*q**4 = 0. What is q?
0, 1/4, 2/5, 1
Let u be (6/16)/((-30)/(-100)). Factor 1/4*w**3 + u*w