ctor 1/5*p**3 - 6/5*p**2 - 4/5 + 9/5*p.
(p - 4)*(p - 1)**2/5
Let k(g) = -2*g**4 + 5*g**3 - 9*g**2 + 11*g - 5. Let r(t) = 3*t**4 - 8*t**3 + 14*t**2 - 16*t + 7. Let m(h) = 7*k(h) + 5*r(h). Find n, given that m(n) = 0.
0, 1, 3
Let y(x) be the third derivative of x**4/12 - x**3/6 - 2*x**2. Let d be y(2). Factor -m**d + 4*m**2 + 3*m**3 + m**4 - 3*m**2.
m**2*(m + 1)**2
Let z(c) be the second derivative of -c**8/26880 - c**7/2520 - c**6/576 - c**5/240 + 5*c**4/12 - c. Let n(o) be the third derivative of z(o). Factor n(r).
-(r + 1)**2*(r + 2)/4
Let d(q) be the third derivative of -q**7/70 - 3*q**6/40 - q**5/10 - 3*q**2. Factor d(i).
-3*i**2*(i + 1)*(i + 2)
Let f(v) = -v**2 + v + 1. Let j(q) = -10*q**2 + 38*q - 58. Let o(g) = 6*f(g) - j(g). What is n in o(n) = 0?
4
Let s(c) be the third derivative of 3*c**2 + 0 + 1/36*c**4 - 1/27*c**3 + 1/540*c**6 + 0*c - 1/90*c**5. Determine y so that s(y) = 0.
1
Factor 5 - 120*d + 8*d**2 + 124*d - 5 + 4*d**3.
4*d*(d + 1)**2
Let r(q) be the first derivative of -5*q**6/48 + 3*q**5/16 - q**4/8 - 4*q**3/3 + 1. Let t(y) be the third derivative of r(y). Solve t(a) = 0 for a.
1/5, 2/5
Let v(f) be the first derivative of -121*f**6/1440 - 11*f**5/120 - f**4/24 - f**3 + 6. Let w(l) be the third derivative of v(l). Factor w(u).
-(11*u + 2)**2/4
Let n(q) = -16*q**2 - 1 - q + 2*q - q**3 + 16*q**2. Let x(l) = -6 + l**2 - 6*l**3 - 4*l**3 + 6*l + 3*l**3. Let g(o) = 6*n(o) - x(o). Factor g(v).
v**2*(v - 1)
Let m(n) be the first derivative of -2*n**3 + 6*n**2 - 4*n + 1/4*n**4 - 3. Let r(z) be the first derivative of m(z). Factor r(u).
3*(u - 2)**2
Let p be (-220)/(-8) - 4 - 0. Let b = p + -23. Factor 1/4*s + 0 + 1/4*s**3 + b*s**2.
s*(s + 1)**2/4
Let l(f) be the third derivative of -f**5/20 + 3*f**4/2 - 10*f**3 + f**2 + 15*f. Factor l(d).
-3*(d - 10)*(d - 2)
Let x(t) be the second derivative of 0 - 3*t + 0*t**3 - 1/54*t**4 - 1/189*t**7 - 1/30*t**5 + 0*t**2 - 1/45*t**6. Let x(n) = 0. What is n?
-1, 0
Suppose 4*c - 20 = 2*f + 8*c, 0 = 5*f + 4*c + 20. Suppose 5*l - 2*s = 12, s - 7 = -4*l - f. Factor -4*z**2 + 2*z**3 + 4*z**5 - 7*z**4 + 6*z**2 - z**l.
z**2*(z - 1)**2*(4*z + 1)
Let s be 0 + (2/(-2) - -5). Let i(q) be the first derivative of -3*q**3 - 3*q**s + 1 + 1 + q**2 - q**5 - 3*q**2 + q**2. Factor i(w).
-w*(w + 1)**2*(5*w + 2)
Suppose 2*y**2 - 5*y**4 - 2*y**3 + 3*y**4 + 4*y - 2*y = 0. What is y?
-1, 0, 1
Suppose 0*p + 32 = -4*p. Let c be (-8 + 3)*2/p. Factor -1/2*x**2 - 1/2 + x**4 + c*x - x**3 - 1/4*x**5.
-(x - 2)*(x - 1)**3*(x + 1)/4
Suppose 320 = 3*c - q, c - q - 104 = -0*q. Factor -24 - 156*w**2 - c*w + 16*w**2 - 81*w**3 - 23*w**2 + w**2.
-3*(3*w + 2)**3
Let j = -2 - -3. Let u be (j - 2)/((-2)/6). Suppose g**u + 0 + 1/2*g**4 + 0*g + 1/2*g**2 = 0. What is g?
-1, 0
Let q(t) be the third derivative of 1/24*t**6 - 1/60*t**5 + 1/12*t**3 + 0 - 5/672*t**8 - 5/48*t**4 + 2*t**2 + 1/420*t**7 + 0*t. What is a in q(a) = 0?
-1, 1/5, 1
Factor 0 - 5/4*j + 5/4*j**4 - 5/4*j**2 + 5/4*j**3.
5*j*(j - 1)*(j + 1)**2/4
Let w = 0 - 2. Let c(z) = 4*z**5 - z**4 - 3*z**3 - 3*z**2 - z + 9. Let a(f) = 2*f**5 - 2*f**3 - 2*f**2 + 4. Let g(n) = w*c(n) + 5*a(n). Let g(s) = 0. What is s?
-1, 1
Suppose -55*o + 86*o = 93. Let 2/3*k**o + 2*k - 8/3*k**2 + 0 = 0. Calculate k.
0, 1, 3
Let h(b) = 5*b. Let r(t) = 2*t. Let m(j) = -3*h(j) + 7*r(j). Let x be m(-3). Determine i so that 0*i**3 + i**4 - 3*i**x - 1 - 2*i + 5*i**3 = 0.
-1, 1
Let d(z) be the first derivative of -2*z**3/33 + z**2/11 + 12. What is i in d(i) = 0?
0, 1
Let n(j) be the second derivative of j**7/14 + j**6/5 - 3*j**5/20 - j**4/2 - 17*j. Factor n(w).
3*w**2*(w - 1)*(w + 1)*(w + 2)
Suppose t + 11 + 2 = 0. Let c = 15 + t. Solve 1/4*j**c + 1/2 + 3/4*j = 0.
-2, -1
Let w(g) = g + 5. Let u be w(-3). Factor -u*s**2 + s + 3*s**2 + 2 - 2*s**2 + 0*s**2.
-(s - 2)*(s + 1)
Suppose -5*v = -9*s + 4*s, 0 = s + 4*v - 15. Suppose -2*o = s*o. Factor 0 - 1/4*b**2 + o*b + 1/4*b**4 + 0*b**3.
b**2*(b - 1)*(b + 1)/4
Let v be (-2)/((4/(-16))/1). Factor 4*y**3 - 3 - 5 + v*y**3 - 26*y**2 - 2*y**4 + 24*y.
-2*(y - 2)**2*(y - 1)**2
Suppose 1/7*s**3 + 1/7*s**2 - 1/7*s - 1/7 = 0. What is s?
-1, 1
Suppose -3*s - 157 = 5*j, -s + 2*s = -j - 33. Let k = -29 - j. Factor 0 - 2/5*q**2 + 1/5*q**3 + k*q.
q**2*(q - 2)/5
Suppose 0 = -29*t + 25*t. Let f(k) be the second derivative of t + 2*k + 1/6*k**3 + 0*k**2 + 1/4*k**4. Find c such that f(c) = 0.
-1/3, 0
Let t(c) be the second derivative of 2*c - 1/135*c**5 + 0 - 1/108*c**4 - c**2 + 1/540*c**6 + 2/27*c**3. Let x(a) be the first derivative of t(a). Factor x(z).
2*(z - 2)*(z - 1)*(z + 1)/9
Suppose -2*o + 3 + 1 = 0. Let p(f) be the first derivative of 2/15*f**3 + 0*f**2 - 2/5*f + o. Factor p(v).
2*(v - 1)*(v + 1)/5
Let w = -2114/5 + 423. Factor 2/5 - w*l**2 - 1/5*l.
-(l - 1)*(l + 2)/5
Let q(n) be the third derivative of -n**7/1260 - n**6/90 - n**5/15 - n**4/8 + 3*n**2. Let a(l) be the second derivative of q(l). Factor a(h).
-2*(h + 2)**2
Let u = 86 - 84. Determine d, given that -2/3*d**4 + 2/3*d**u + 0*d - 2/3*d**5 + 0 + 2/3*d**3 = 0.
-1, 0, 1
Let d(z) be the third derivative of -13*z**5/60 + z**4 - 8*z**3/3 - 2*z**2. Let u(g) = -66*g**2 + 120*g - 81. Let m(t) = -21*d(t) + 4*u(t). Factor m(x).
3*(x - 2)*(3*x - 2)
Let s be ((-30)/(-100))/((-2)/(-10)). Let -3/2*l**2 + 3 + s*l = 0. Calculate l.
-1, 2
Determine w so that 4*w - 5*w**2 + 3*w**2 - 455 + 453 = 0.
1
Let z(d) be the second derivative of 0 + 1/16*d**4 + 0*d**3 + 0*d**2 + 6*d. Find k such that z(k) = 0.
0
Suppose -51*d + 58*d = 0. Factor d*b + 0 + 1/2*b**2.
b**2/2
Let r(w) be the third derivative of 4*w**2 + 0*w**3 + 1/20*w**5 + 0*w + 0 + 0*w**4. Suppose r(m) = 0. Calculate m.
0
Let y(a) be the second derivative of a**5/30 + a**4/4 + 2*a**3/3 + 3*a**2/2 + 4*a. Let r(x) be the first derivative of y(x). Factor r(g).
2*(g + 1)*(g + 2)
Let p be 4/(-10) + (-68)/(-20). Suppose 4*s - 10 = -q, -s + p = 1. Solve -i + 13*i**2 - 4*i - 6*i**2 - 4*i + q = 0 for i.
2/7, 1
What is z in -9/2*z**2 - 1/2*z**4 - 1 - 7/2*z - 5/2*z**3 = 0?
-2, -1
Let z be 20/15 - 16/(-6). Let u(n) be the first derivative of -9*n**2 + 1 + 8/3*n**3 + z*n. What is b in u(b) = 0?
1/4, 2
Let t(r) be the first derivative of -1/12*r**4 - 2/9*r**3 + 4 + 0*r + 0*r**2. Let t(g) = 0. Calculate g.
-2, 0
Let f(n) = -4*n**4 - 10*n**3 + 30*n**2 - 8*n - 6. Let o(z) = 11*z**4 + 31*z**3 - 91*z**2 + 24*z + 18. Let i(j) = -7*f(j) - 2*o(j). Factor i(l).
2*(l - 1)**2*(l + 3)*(3*l + 1)
Let q = -23 + 25. Find r, given that -8/7*r - 2/7*r**4 - 2/7 - 12/7*r**q - 8/7*r**3 = 0.
-1
Let q(u) be the second derivative of u**6/27 - 11*u**5/45 + 14*u**4/27 - 8*u**3/27 - 9*u. Let q(x) = 0. Calculate x.
0, 2/5, 2
Suppose -41 = -5*s - 16. Suppose 0 = -s*u + 3*x + 21, -4*u - 5*x - 4 = -2*u. Suppose -4*d**2 + u*d + 3*d**3 - d**2 - d**2 = 0. What is d?
0, 1
Factor -1/3*m**2 + 2/3*m - 1/3*m**3 + 0.
-m*(m - 1)*(m + 2)/3
Let z(y) be the first derivative of y**4/8 - y**3/2 + y**2/2 - 1. Suppose z(c) = 0. What is c?
0, 1, 2
Let v(p) = -p**2 - 2*p - 5. Let o be v(-4). Let q = 13 + o. Factor 0 + q*b**2 - 2/3*b**5 + 8/3*b**4 + 0*b - 8/3*b**3.
-2*b**3*(b - 2)**2/3
Let p(b) = -4*b**2 - 8*b. Let u(v) = -3*v**2 - 7*v + 1. Let w(x) = 5*p(x) - 4*u(x). Let m(k) = 9*k**2 + 13*k + 4. Let t(j) = -6*m(j) - 7*w(j). Factor t(s).
2*(s + 1)*(s + 2)
Let 0*j - 2/11*j**2 + 0 = 0. Calculate j.
0
Let n(f) be the first derivative of -1/3*f**3 + 1/4*f**4 + 0*f**2 + 0*f + 1. Factor n(s).
s**2*(s - 1)
Let y(q) be the first derivative of -q**4/4 - q**3 - 3*q**2/2 - q - 3. Factor y(t).
-(t + 1)**3
Let x be (-18)/(-4) - 0/25. Suppose -x - 3*c + 3/2*c**2 = 0. Calculate c.
-1, 3
Let q(k) = -k**3 + k**2 - k + 2. Let j be q(0). Suppose j*h + 0*h = 6. Factor -3*r**5 + 0*r - 4/3*r**h + 0*r**2 + 0 - 4*r**4.
-r**3*(3*r + 2)**2/3
Let v(z) be the second derivative of z**4/24 + z**3/18 - z**2/12 + 2*z. Factor v(j).
(j + 1)*(3*j - 1)/6
Factor -15*y + 6 - 3*y**3 + 8*y**2 + 0*y**2 - 6*y**2 + 10*y**2.
-3*(y - 2)*(y - 1)**2
Determine s, given that -s**2 - s + 0*s + 0*s**2 = 0.
-1, 0
Suppose -5*c = 2*p - 113, 6*c - p = 2*c + 80. Let o be (c/7)/(1 + 0). Factor -3*b**2 - 4 - 2*b**2 - 6*b + o*b**2.
-2*(b + 1)*(b + 2)
Suppose -178 - 453 = -4*y + 3*q, 0 = -y - q + 149. Let j = 1388/9 - y. Determine p so that 4/9 + j*p**2 - 2/3*p = 0.
1, 2
Let -20/3*r**3 + 4*r**2 + 19/6*r**