rivative of f(d). Suppose u(c) = 0. What is c?
0
Let z(y) = -2*y**5 + y**4 + 5*y**3 - 4*y**2 + 4. Let x(v) = -5*v**5 + 3*v**4 + 11*v**3 - 9*v**2 + 9. Let m(g) = 4*x(g) - 9*z(g). Factor m(k).
-k**3*(k - 1)*(2*k - 1)
Let a(b) be the first derivative of -b**4/10 + b**2/5 + 30. What is u in a(u) = 0?
-1, 0, 1
Suppose -3*b**4 + 6 + 11*b + 3*b**5 - 15*b**3 + 3*b**2 + 6 + 13*b = 0. What is b?
-1, 2
Let p(z) be the second derivative of 8*z**6/15 + 2*z**5 + 17*z**4/12 + z**3/3 - 10*z. Solve p(y) = 0.
-2, -1/4, 0
Suppose -3*d + 3*x = -6, -8*x = d - 7*x - 2. Find n such that 0 + 2/3*n + 2/3*n**d = 0.
-1, 0
Let t be (-28)/(-156) - (-14)/91. Factor -v**2 - t*v**3 - 2/3*v + 0.
-v*(v + 1)*(v + 2)/3
Let z be 31/2 - (-3)/2. Let h be -3 - 1*z/(-5). What is r in h*r**3 + 0 - 2/5*r + 2/5*r**2 - 2/5*r**4 = 0?
-1, 0, 1
Suppose 0 = 12*w - 4*w - 24. Factor 2/7*t**w + 0 + 0*t - 2/7*t**2.
2*t**2*(t - 1)/7
Factor 1/4*r**2 + 0 + 0*r - 1/4*r**3.
-r**2*(r - 1)/4
Let m(f) be the second derivative of 0*f**2 + 5*f + 1/20*f**5 + 0*f**3 - 1/6*f**4 + 1/30*f**6 + 0. What is g in m(g) = 0?
-2, 0, 1
Find a such that 0 - 3/2*a**3 + 7*a**2 - 4*a = 0.
0, 2/3, 4
Let b(h) be the first derivative of -3*h**4/7 + 11*h**3/21 - h**2/7 + 8. Find i such that b(i) = 0.
0, 1/4, 2/3
Factor -30*x + 2 + 4*x**2 + 78*x - 39*x.
(x + 2)*(4*x + 1)
Factor 4/7*k**5 + 0*k**4 + 0*k**2 + 0 - 8/7*k**3 + 4/7*k.
4*k*(k - 1)**2*(k + 1)**2/7
Let g(p) = -p**2 - 10*p - 2. Let o be g(-9). Find q such that -26*q**3 - 15*q - 2*q**5 - 23*q**2 - q**2 + o*q - 12*q**4 = 0.
-2, -1, 0
Let g(m) be the first derivative of 2*m**2 + 0*m + 2 + 2*m**3 + 14/3*m**6 - 8*m**4 - 6/5*m**5. Solve g(h) = 0 for h.
-1, -2/7, 0, 1/2, 1
Let f(v) be the first derivative of 3/4*v**2 - 1 + 1/6*v**3 + v. Factor f(n).
(n + 1)*(n + 2)/2
Let o be (0 + 4)/(11 + -10). Determine u so that -o - 2 + u**2 + 5 = 0.
-1, 1
Suppose 0 = -3*d + d + 4. Let n be (-8)/(-96)*-3 + 13/20. Factor -2/5*w**3 - n*w + 0 + 4/5*w**d.
-2*w*(w - 1)**2/5
Let z(m) be the first derivative of -m**4/12 + m**2/6 - 6. Find u such that z(u) = 0.
-1, 0, 1
Let f(k) = -4*k**3 + 20*k**2 - 46*k + 42. Let p(c) = 13*c**3 - 61*c**2 + 137*c - 127. Let v(o) = -7*f(o) - 2*p(o). Factor v(i).
2*(i - 5)*(i - 2)**2
Let s(p) = -5*p**2 - 2. Let l(f) = -36*f**2 - 15. Let i(w) = 2*l(w) - 15*s(w). Factor i(r).
3*r**2
What is i in -3*i**3 - 1 - 24*i**2 + 9*i**2 - 8 - 21*i = 0?
-3, -1
Let z be (-9)/(-24)*(0 - -2). Find m, given that 3/4*m**2 + z + 3/2*m = 0.
-1
Factor 6/5*g**3 + 0 - 6/5*g**2 - 2/5*g**4 + 2/5*g.
-2*g*(g - 1)**3/5
Factor 40*l**3 + 12*l - 80*l**2 + 16*l + 4*l**3 + 8.
4*(l - 1)**2*(11*l + 2)
Let z(m) be the first derivative of -m**4/40 - m**3/3 - 5*m**2/4 - 18. Let z(v) = 0. Calculate v.
-5, 0
Let m(w) = w**4 - w**2 + 2*w - 2. Let u(n) = 2*n**4 + n**3 - 2*n**2 + 2*n - 3. Let j be (-6)/(-4)*(-28)/21. Let f(g) = j*u(g) + 3*m(g). Factor f(q).
-q*(q - 1)*(q + 1)*(q + 2)
Let i(a) be the first derivative of -a**6/2 - 3*a**5/5 + 3*a**4/4 + a**3 - 9. Factor i(l).
-3*l**2*(l - 1)*(l + 1)**2
Let m = 8 - 4. Suppose -5*f + m*f + 5*p - 5 = 0, -2*f - p = -12. Factor 2/5*q**3 - 2/5*q**f + 0 + 2/5*q**2 + 0*q - 2/5*q**4.
-2*q**2*(q - 1)*(q + 1)**2/5
Let b be (10/35)/(1/7). Determine k, given that k**2 - 5*k**b - 4*k**3 + 4*k**2 - 4*k**4 = 0.
-1, 0
Let q(u) be the second derivative of -u**7/147 - u**6/21 - 4*u**5/35 - 2*u**4/21 - 16*u. Factor q(n).
-2*n**2*(n + 1)*(n + 2)**2/7
Suppose 2*j + 5*a - 20 = 0, -a = -5 + 3. Factor 8/7*s - 2/7*s**j + 20/7*s**2 - 8/7*s**4 - 16/7 - 2/7*s**3.
-2*(s - 1)**2*(s + 2)**3/7
Let l be (6/3)/(49/7). Factor -4/7*r - 2/7 - l*r**2.
-2*(r + 1)**2/7
What is i in -3*i**2 - 1/4*i**4 - 2*i - 3/2*i**3 + 0 = 0?
-2, 0
Determine m so that 14*m**3 - 7*m**5 + 3*m**5 - 4*m - 6*m**3 = 0.
-1, 0, 1
Let t(n) be the second derivative of n**9/60480 - n**7/10080 - n**4/3 - 8*n. Let z(r) be the third derivative of t(r). What is u in z(u) = 0?
-1, 0, 1
Let v(s) be the first derivative of -s**6/50 + 3*s**5/50 - s**3/5 + 3*s**2/10 + 8*s + 3. Let a(d) be the first derivative of v(d). What is f in a(f) = 0?
-1, 1
Let n(h) be the third derivative of -h**8/2184 + 4*h**7/1365 - h**6/130 + 2*h**5/195 - h**4/156 - 5*h**2. Factor n(b).
-2*b*(b - 1)**4/13
Suppose -2*l + 4 = -4. Let q(p) be the first derivative of -1/2*p**2 - 1 + 1/4*p**l + 0*p**3 + 0*p. Factor q(u).
u*(u - 1)*(u + 1)
Find r, given that 1 - 11*r**2 + 10 - 12*r + 15 + 10 + r**4 + 2*r**3 = 0.
-3, 2
Let x = 1/218 - -197/4578. Let a = x + 9/7. Factor a + 8/3*s**2 + 10/3*s + 2/3*s**3.
2*(s + 1)**2*(s + 2)/3
Let w(k) = 4*k**3 + 2*k**2 + 6*k - 2. Let i(l) = 5*l**3 + 2*l**2 + 7*l - 2. Let z(c) = 5*i(c) - 6*w(c). Factor z(h).
(h - 2)*(h - 1)*(h + 1)
Let d = 7/4 - 3/2. Let p be 1 - -3 - (1 - -1). Suppose 0*i + 3/4*i**3 + i**4 - d*i**p + 0 = 0. Calculate i.
-1, 0, 1/4
Let f be 5*-2 - 5110/(-455). Factor 24/13*q + 2/13*q**3 + 12/13*q**2 + f.
2*(q + 2)**3/13
Factor 2 - 5 + 24*v - 20*v + 1 - 2*v**2.
-2*(v - 1)**2
Let g = 157 + -153. Let h = -520 + 2622/5. Determine j so that 0 - 14/5*j**g + 32/5*j**3 + 4/5*j - h*j**2 = 0.
0, 2/7, 1
Let a be -2*((-158)/26 + 6). Factor a*i**2 - 2/13*i + 0.
2*i*(i - 1)/13
Suppose -53*v = -48*v - 20. Factor 0 - 27/5*c**2 - 3/5*c**v - 18/5*c**3 + 0*c.
-3*c**2*(c + 3)**2/5
Let l(p) be the first derivative of -2*p**6/3 - p**5/5 + p**4 + p**3/3 - 14. Determine a so that l(a) = 0.
-1, -1/4, 0, 1
Let m be (-4)/(5 - 3)*-2. Let j(a) be the second derivative of 0 + 0*a**3 - 1/60*a**5 - 1/72*a**m + 0*a**2 + 3*a. Factor j(n).
-n**2*(2*n + 1)/6
Suppose -6*o**2 + 0 + 2/3*o = 0. Calculate o.
0, 1/9
Let p(m) = -2*m**3 - m + 2. Let g be p(-2). Suppose 5*s + 0*s = g. Factor -2/9*f**s + 0*f + 0 + 0*f**2 + 2/9*f**3.
-2*f**3*(f - 1)/9
Let p be (-3)/21 - 12/(-154). Let c = 71/77 + p. Solve c*m**4 + 0 + 4/7*m**2 - 10/7*m**3 + 0*m = 0 for m.
0, 2/3, 1
Find w, given that 4/3 + 2/3*w - 2/3*w**2 = 0.
-1, 2
Let x(w) = -15*w**3 + 5*w**2 + 3*w + 3. Let a(k) = 15*k**3 - 5*k**2 - 2*k - 2. Let h(o) = 3*a(o) + 2*x(o). Factor h(l).
5*l**2*(3*l - 1)
Determine g so that -4*g**4 + 6*g**3 - 2*g**3 + 95*g**2 - 87*g**2 = 0.
-1, 0, 2
Let d(c) be the second derivative of c**4/4 + 10*c**3/9 + 2*c**2/3 - 4*c - 4. Find u, given that d(u) = 0.
-2, -2/9
Let y(p) be the third derivative of p**7/210 + p**6/40 + p**5/20 + p**4/24 + 22*p**2. Factor y(c).
c*(c + 1)**3
Let v(t) be the third derivative of 6/245*t**7 + 0 + 9/280*t**6 + 5/784*t**8 + 0*t**3 + 0*t + 0*t**4 - 7*t**2 + 1/70*t**5. Suppose v(m) = 0. What is m?
-1, -2/5, 0
Let n(m) be the second derivative of m**5/5 + 2*m**4/3 + 2*m**3/3 - 9*m. Factor n(s).
4*s*(s + 1)**2
Let o(v) be the third derivative of 0*v - 1/100*v**6 + 0*v**4 + 0*v**3 + 1/175*v**7 - 1/840*v**8 - 3*v**2 + 1/150*v**5 + 0. Factor o(d).
-2*d**2*(d - 1)**3/5
Let b(c) = -16*c**3 + 21*c**2 - 9*c + 1. Let x = 6 + -5. Let u(f) = -f**2. Let g(j) = x*b(j) - 3*u(j). Solve g(t) = 0 for t.
1/4, 1
Let a(o) be the first derivative of o**5/20 - o**4/16 - o**3/12 + o**2/8 - 9. Determine m, given that a(m) = 0.
-1, 0, 1
Let n(g) be the third derivative of g**10/45360 - g**8/10080 - g**4/12 - 3*g**2. Let o(p) be the second derivative of n(p). Factor o(k).
2*k**3*(k - 1)*(k + 1)/3
Let o(d) = 5*d + 12. Let q be o(-6). Let z be 2/3 - (-6)/q. Factor z*g**3 - 3*g**2 - 9 + 9*g.
(g - 3)**3/3
Factor 4 + 2*u + 1/4*u**2.
(u + 4)**2/4
Let s be (-4)/(-14) + (-2)/7. Suppose s = -4*n + 3*n + 4. Factor 5*z**2 - 5*z**n - z**2 + 3*z**4 - 2.
-2*(z - 1)**2*(z + 1)**2
Let t(j) be the second derivative of -j**7/630 + j**6/120 - j**5/60 + j**4/72 + j**3 + 3*j. Let n(f) be the second derivative of t(f). Factor n(r).
-(r - 1)**2*(4*r - 1)/3
Let x be -1 + 3*(0 - -1). Suppose x*d = -3*i - 11, 2*i = -2*d - 5 - 1. Solve d + r + 2 + 0*r**2 - r**2 - 2 = 0 for r.
-1, 2
Let t = -4 + 13/3. Let n(z) be the second derivative of 1/5*z**5 + 0 + 0*z**2 + z - 1/21*z**7 - t*z**3 + 0*z**6 + 0*z**4. Factor n(h).
-2*h*(h - 1)**2*(h + 1)**2
Suppose -5*z + 96 = -4*u, -2*z - u = -z - 21. Suppose -5*w - 2*h + 17 = -2*w, -5*h + z = 0. Solve -3*y**4 + 0*y**5 + y**5 + y**4 + y**w = 0 for y.
0, 1
Let g be (-6)/(-20)*(-32)/(-36). Let t(y) be the first derivative of 0*y + 1/5*y**2 + 1 + 1/10*y**4 - g*y**3. Factor t(j).
2*j*(j - 1)**2/5
Let t(p) be the third derivative of -p**8/960 + 3*p**7/560 - p**6/120 - p**5/10 + p*