or r(p).
p*(p + 1)**3
Let k(x) = x**2 - 9*x + 11. Let i be k(8). Factor 1 + 2*m - 2 + i - m**2 - 3.
-(m - 1)**2
Let i(v) be the third derivative of v**5/180 + v**4/72 - v**3/9 + 6*v**2. Factor i(u).
(u - 1)*(u + 2)/3
Let m(d) be the third derivative of -d**7/105 + d**5/30 + 4*d**2. Factor m(f).
-2*f**2*(f - 1)*(f + 1)
Let t(n) be the first derivative of -1/24*n**4 + 4 + 1/12*n**3 - 4*n + 0*n**2. Let z(a) be the first derivative of t(a). Suppose z(m) = 0. Calculate m.
0, 1
Let w(c) be the third derivative of c**5/240 - c**4/32 - c**3/6 + 5*c**2. Factor w(j).
(j - 4)*(j + 1)/4
Suppose -3*s + 23 = -13. Factor 3*o**2 + 1 + s*o + 0*o + 11.
3*(o + 2)**2
Let c(x) be the first derivative of 2*x**3 + 2*x**2 + 0*x - 2 + 1/2*x**4. Determine f, given that c(f) = 0.
-2, -1, 0
Let a(o) be the first derivative of 63*o**4 - 32*o**3 - 10*o**2 + 8*o + 2. Factor a(j).
4*(3*j - 1)**2*(7*j + 2)
Let x(u) be the first derivative of 1/2*u**3 + 0*u - 2 + 1/4*u**4 + 1/4*u**2. Factor x(m).
m*(m + 1)*(2*m + 1)/2
Let q = 264 - 260. Factor q*f**2 - 6*f - 2/3*f**3 + 0.
-2*f*(f - 3)**2/3
Solve -36*m + 5*m**4 - 21*m**3 - m**2 + 4*m**4 - 47*m**2 - 12*m**4 = 0 for m.
-3, -2, 0
Let k be (-9 - -9)*(-1)/(-2). Let b(z) be the first derivative of 1/4*z**4 + k*z**2 + 2 + 0*z - 2/3*z**3. Suppose b(f) = 0. What is f?
0, 2
Let h(p) be the first derivative of -5*p**6/24 + p**5/2 - p**4/2 + 2*p**3/3 + 3. Let k(s) be the third derivative of h(s). Factor k(v).
-3*(5*v - 2)**2
Let h(n) = 4*n + 32. Let y be h(-8). Let y*j + 0 - 1/2*j**5 + 0*j**2 - j**3 + 3/2*j**4 = 0. Calculate j.
0, 1, 2
Suppose 0 = 3*s - 8*s. Let u(z) be the third derivative of -z**2 - 4/9*z**3 + 0 + 1/9*z**4 + s*z - 1/90*z**5. Determine a, given that u(a) = 0.
2
Let k(q) = -q**4 + q**3 - q. Let s(t) = 2*t**4 - 3*t**3 - t**2 + 3*t. Let d(u) = -k(u) - s(u). Solve d(f) = 0 for f.
-1, 0, 1, 2
Let j(d) be the first derivative of -2/11*d**3 - 2/55*d**5 + 1/11*d**2 + 3/22*d**4 + 6 + 0*d. What is w in j(w) = 0?
0, 1
Let b = 5/69 - -6/23. Let l(k) be the third derivative of 0*k**4 + 0*k - 1/30*k**5 + 0 + b*k**3 - 2*k**2. Factor l(z).
-2*(z - 1)*(z + 1)
Let v(w) = -w**2 - 3*w. Let x(a) = a - 4. Let z be x(2). Let b be v(z). Determine h so that -9*h**b + 3*h**2 + 2*h**4 + 4*h**4 + 2*h - 2*h**3 = 0.
-1, 0, 1/3, 1
Let n(z) = -z**2 + 10*z - 7. Let i(x) = -x**2 + 9*x - 6. Let j(f) = 7*i(f) - 6*n(f). Factor j(o).
-o*(o - 3)
Let z = 842/3 - 280. Determine a, given that z*a**2 - 1/3*a**3 - 2/3 + 1/3*a = 0.
-1, 1, 2
Let i(f) be the second derivative of f**6/80 - 3*f**5/40 + 3*f**4/16 - f**3/4 - 5*f**2/2 + 7*f. Let n(c) be the first derivative of i(c). Factor n(q).
3*(q - 1)**3/2
Suppose -3/4 - 1/4*s**2 + s = 0. Calculate s.
1, 3
Let o(x) be the second derivative of 0*x**3 - 1/70*x**7 - 2*x + 0 + 0*x**2 - 9/100*x**5 - 3/50*x**6 - 1/20*x**4. Factor o(l).
-3*l**2*(l + 1)**3/5
Let u(o) = 5*o**2 - 5*o - 6. Let n(m) = 10*m**2 - 10*m - 13. Let p(g) = -6*n(g) + 13*u(g). What is r in p(r) = 0?
0, 1
Let f(t) be the first derivative of t**5/10 - 7*t**4/12 + 23*t**3/18 - 4*t**2/3 + 2*t/3 + 13. Let f(s) = 0. Calculate s.
2/3, 1, 2
Let f(z) be the first derivative of -8/21*z**3 - 8/35*z**5 + 3/7*z**4 + 0*z + 1/21*z**6 - 1 + 1/7*z**2. Factor f(o).
2*o*(o - 1)**4/7
Let y be (-16)/12*6/(-4). Let t(b) be the first derivative of 2/9*b + 2/3*b**3 - 2/3*b**y - 2. Factor t(x).
2*(3*x - 1)**2/9
Let l(f) be the third derivative of f**6/24 - f**5/2 + 5*f**4/2 - 20*f**3/3 - 6*f**2. Factor l(a).
5*(a - 2)**3
Let m(c) be the second derivative of 5*c**4/12 - 5*c**3/3 - 15*c**2/2 - 26*c. Factor m(a).
5*(a - 3)*(a + 1)
Let n(j) be the first derivative of -j**4/24 + j**2/4 - 5*j + 5. Let g(r) be the first derivative of n(r). What is t in g(t) = 0?
-1, 1
Let z be 5/((-45)/6)*-9. Let b(w) = 4*w + z*w + 10*w**3 + 3*w**2 + 10*w**2. Let v(i) = -i**3 - i**2 - i. Let y(u) = -2*b(u) - 22*v(u). Factor y(s).
2*s*(s - 1)**2
Let p be 2*(2/7)/((-56)/(-49)). Factor -1/4*r**2 + 3/4*r - p.
-(r - 2)*(r - 1)/4
Let b(x) be the third derivative of -x**6/660 + x**5/330 + 5*x**4/132 + x**3/11 + 29*x**2. Suppose b(o) = 0. Calculate o.
-1, 3
Let l(s) be the third derivative of -s**9/75600 + s**8/12600 + s**7/6300 - s**6/450 + 7*s**5/60 - 5*s**2. Let i(f) be the third derivative of l(f). Factor i(r).
-4*(r - 2)*(r - 1)*(r + 1)/5
Factor -6/11 + 8/11*i - 2/11*i**2.
-2*(i - 3)*(i - 1)/11
Let s(z) be the second derivative of 289*z**6/75 - 612*z**5/25 + 716*z**4/15 - 96*z**3/5 + 16*z**2/5 - z + 7. Factor s(b).
2*(b - 2)**2*(17*b - 2)**2/5
Let a be 3 + -3 + 6/2. Suppose 9 - 3 = a*z. Factor -8*t + 0*t**2 - 2*t**2 + 4*t + 0*t**z.
-2*t*(t + 2)
Suppose -82 = -4*w + 2. Let h be -3 + (-3)/w*-23. Find x, given that -2/7*x**4 - h*x**3 + 2/7*x + 0 + 2/7*x**2 = 0.
-1, 0, 1
Let y be 0 + (3 - 2 - 1). Suppose y*o**4 + 0*o**2 - 2*o**2 + 2*o**4 + 2*o + 3*o**3 - 5*o**3 = 0. What is o?
-1, 0, 1
Factor -15*f**2 + 16*f**3 + 3*f**4 - 28*f**3 - 9*f + 3*f - 6*f**4.
-3*f*(f + 1)**2*(f + 2)
Let f(d) be the second derivative of -d**4/36 + d**3/9 + d**2/2 - 20*d. What is s in f(s) = 0?
-1, 3
Suppose -30 = 3*y + 6. Let a be ((-6)/8)/(1/4). Let b(g) = g**3 - g. Let u(r) = -5*r**3 + 3*r**2 + r + 1. Let c(f) = a*u(f) + y*b(f). Factor c(j).
3*(j - 1)**3
Suppose 2*s = -g - 2, 3*g = 3*s + 2*s + 16. Factor o**4 + o**4 - 2*o**3 + o**2 + 0*o**g - o**4.
o**2*(o - 1)**2
Solve 1/4*z**2 - 1/2 + 3/4*z**3 + 1/4*z**4 - 3/4*z = 0.
-2, -1, 1
Suppose -4*j + 29 = 21. Factor 1/4*g**3 - 1/4*g**j + 0*g + 0.
g**2*(g - 1)/4
Let m(n) = -3*n + 3. Let f(j) = -3*j + 3. Let w(s) = -5*f(s) + 4*m(s). Let u be w(2). Factor u*d**3 - d + 3*d + 3*d**2 - 2*d**3.
d*(d + 1)*(d + 2)
Let j be 18/2 - (-11 + 16). Factor 3/4*p**j - p**5 + 0*p + 1/4*p**3 + 0 + 0*p**2.
-p**3*(p - 1)*(4*p + 1)/4
Let i = 6 + -7. Let k be 0/(2 + i + -2). Factor 1/3*l**4 + 0 - 1/3*l**2 + k*l**3 + 0*l.
l**2*(l - 1)*(l + 1)/3
Let z(i) be the second derivative of -i**7/105 - 3*i**6/25 - 3*i**5/5 - 23*i**4/15 - 11*i**3/5 - 9*i**2/5 + 6*i. Find v such that z(v) = 0.
-3, -1
Let i be (24/(-144))/((-4)/42). What is l in i*l**5 - 3/4*l + 7/2*l**2 - l**3 - 3*l**4 - 1/2 = 0?
-1, -2/7, 1
Let m = 5/56 - -23/56. What is i in 1/4*i**2 + 0 + m*i = 0?
-2, 0
Let o be (2 - (-1)/(-1)) + 1. Factor -32/7*s + 2*s**o + 8/7.
2*(s - 2)*(7*s - 2)/7
Let c(d) be the third derivative of 3/2*d**3 + 0 - 1/1008*d**8 - 1/10*d**5 + 0*d - 1/36*d**6 + 1/90*d**7 + 5*d**2 + 3/8*d**4. Determine i so that c(i) = 0.
-1, 3
Let y(a) be the first derivative of 7 + 0*a + 5/12*a**4 - 1/3*a**2 + 1/9*a**3 + 2/15*a**5. Find l such that y(l) = 0.
-2, -1, 0, 1/2
Let o be 160/28 + 4/14. Suppose 0*q = 3*q - o. Factor -3*s**3 + 3*s**3 - 2*s**q - 2*s**3.
-2*s**2*(s + 1)
Factor -2/7*s**4 - 2/7*s**5 + 2/7*s**3 + 0*s + 0 + 2/7*s**2.
-2*s**2*(s - 1)*(s + 1)**2/7
Suppose 0 + 14/5*f**2 - 6/5*f = 0. What is f?
0, 3/7
Let y = 10 + -6. Suppose 13*f**y + 3*f**4 - 10*f**3 - 15*f**5 - 17*f**3 + 6*f**2 + 20*f**4 = 0. What is f?
0, 2/5, 1
Let v(j) be the first derivative of j**4/32 - 5*j**3/8 + 3*j**2 + 8*j + 10. Determine p so that v(p) = 0.
-1, 8
Let i(t) be the third derivative of 2*t**2 - 1/630*t**7 + 0*t**4 + 0*t**6 + 0*t + 0 + 0*t**3 + 1/180*t**5. Factor i(b).
-b**2*(b - 1)*(b + 1)/3
Suppose 0 + 2/9*f + 0*f**3 + 4/9*f**2 - 2/9*f**5 - 4/9*f**4 = 0. What is f?
-1, 0, 1
Let g be ((-4)/24 + 0)/((-2)/4). Find w such that -1/3*w + 0 + 0*w**2 + g*w**3 = 0.
-1, 0, 1
Let u(x) = -27*x**3 - 63*x**2 + 47*x - 9. Let l(z) = 54*z**3 + 126*z**2 - 95*z + 18. Let b(k) = 4*l(k) + 7*u(k). Factor b(j).
3*(j + 3)*(3*j - 1)**2
Suppose 4 = -r + 6. Suppose 3*b + 12*b**3 + 13*b**2 - 32*b**4 + 35*b**4 + 3*b + r*b**2 = 0. Calculate b.
-2, -1, 0
Factor 31*c**2 - 8 + 8*c + 18*c**3 - 8*c**3 + 8*c**2 - 13*c**2.
2*(c + 1)*(c + 2)*(5*c - 2)
Let p(m) be the third derivative of -m**11/1330560 + m**10/201600 - m**9/120960 - m**5/20 + 2*m**2. Let r(b) be the third derivative of p(b). Factor r(z).
-z**3*(z - 2)*(z - 1)/4
Suppose 39 = -b + 96. Suppose 2*v + 5*l = b - 17, -4*l + 53 = 3*v. Factor -3*k**2 - v*k**4 + 6*k - 3 + 3 - 22*k**3 - 2*k**3.
-3*k*(k + 1)**2*(5*k - 2)
Suppose 0 = -u - 3*u + 8. Solve 3*g**4 - 3*g + 12*g**2 - 9*g**3 - 3*g**u + 0*g = 0.
0, 1
Let g(c) be the second derivative of -5*c**4/12 + 5*c**3 - 34*c. Suppose g(h) = 0. Calculate h.
0, 6
Let i be 4/22 + 41934/231. Let u = 1