 6*f**5 + 0*f**2 + 3*f**3 + 11*f**3 - u*f**4 - 4*f**2 + 0*f**2.
2*f**2*(f - 1)**2*(3*f - 2)
Let h be (-16)/(-24) + (0 - -1). Let b(a) be the first derivative of h*a**3 + 4*a - 7/4*a**4 + 8*a**2 + 1. Determine v, given that b(v) = 0.
-1, -2/7, 2
Let i(m) = -3*m**4 - m**3 - 4*m**2 - 4*m + 4. Let l(x) = 15*x**4 + 6*x**3 + 21*x**2 + 21*x - 21. Let s(c) = 21*i(c) + 4*l(c). Factor s(z).
-3*z**3*(z - 1)
Let k be (-3 + -1)*1*(-5)/10. Find p, given that 0 - 1/2*p**3 + p**k - 3/2*p**4 + 0*p = 0.
-1, 0, 2/3
Let z be 7/(-3)*(-8)/28. Let g = 16/51 + 6/17. Let g*p + 0 + z*p**4 - 2/3*p**2 - 2/3*p**3 = 0. What is p?
-1, 0, 1
Let y = -161 - -161. Factor -2/15*z**3 + 0*z + 2/15*z**2 + y.
-2*z**2*(z - 1)/15
Suppose -2/11*c**5 + 2/11*c + 0 - 4/11*c**2 + 4/11*c**4 + 0*c**3 = 0. Calculate c.
-1, 0, 1
Suppose -8 = -2*k + 4*g, -2*g - 8 = 5*k - 8*k. Factor -4/3 - 1/3*o**k - 4/3*o.
-(o + 2)**2/3
Let d(v) = v**3 - v**2 + v - 1. Let k(m) = m**3 - 5*m**2 - m - 3. Let r(s) = -2*d(s) + k(s). Factor r(j).
-(j + 1)**3
Suppose 0*v = 3*v - n - 1, -5 = 5*n. Solve v - 2/5*z**3 + 2/5*z**2 + 0*z = 0.
0, 1
Let t(z) = 4*z**2 - 1. Let f be t(1). Let s be (0 - 0) + 3 + f. Determine x so that -x**4 - 6*x**3 + 3*x**4 + s*x**2 - 2*x + 0*x = 0.
0, 1
Let m = 9 - 7. Determine k so that 12 + 3*k**4 + m*k + 3*k - 5*k - 15*k**2 = 0.
-2, -1, 1, 2
Factor 12*v - 3*v**2 - 9*v**2 - 12*v - 4*v**3.
-4*v**2*(v + 3)
Let w be 1 - ((-2 - (-156)/32) + -2). Let -3/8*k**2 - 1/8 + 3/8*k + w*k**3 = 0. What is k?
1
Let b(n) = n**3 + 6*n**2 - 2*n - 9. Let m be b(-6). Suppose 0*x + 16 = 4*x. Factor 16*k**2 + 9*k + k**5 + 1 + 1 + 9*k**4 - 3*k**x + 14*k**m.
(k + 1)**4*(k + 2)
Let b(t) be the first derivative of -t**7/1680 - t**6/360 - t**5/240 + 2*t**3/3 - 1. Let j(n) be the third derivative of b(n). Let j(c) = 0. What is c?
-1, 0
Determine i so that -36 - 1/4*i**2 - 6*i = 0.
-12
Let t(c) be the third derivative of -c**6/24 - 17*c**5/40 - 3*c**4/4 + 5*c**3/6 - 4*c**2. Let y(g) be the first derivative of t(g). Factor y(l).
-3*(l + 3)*(5*l + 2)
Let x = -2 + 2. Suppose x = -4*a + 3 + 9. Factor 2*n**4 - 3*n**4 - 2*n**2 + 2*n**5 - 2*n**3 + a*n**4.
2*n**2*(n - 1)*(n + 1)**2
Let o(n) = 5*n**4 + 10*n**3 + 13*n**2 + 5*n. Let a(x) = 6*x**4 + 10*x**3 + 12*x**2 + 4*x. Let l(g) = 3*a(g) - 4*o(g). Factor l(r).
-2*r*(r + 1)*(r + 2)**2
Suppose 0 = -4*q - 0*q. Suppose 5*z + s = -q*s + 5, -z = 3*s + 13. Find j such that 2*j**2 - j**3 + 0*j**3 - j**z = 0.
0, 1
Let a(o) be the first derivative of -3/20*o**4 + 3/10*o**2 + 2/5*o**3 - 4 - 6/5*o. Factor a(g).
-3*(g - 2)*(g - 1)*(g + 1)/5
Let x = 2/347 + 1378/1735. Determine f, given that -2*f**2 + 0 + x*f = 0.
0, 2/5
Let g(i) = -3*i**2 - 3*i. Let h be g(-2). Let b = h + 25/4. Factor -b*d + 0 + 1/4*d**2.
d*(d - 1)/4
Let i = -3 + 3. Let h = i + 1. Factor 2*s + s**2 - 2 + h + 2.
(s + 1)**2
Let s be -1 - (3 + (3 - (-60)/(-8))). Let 0 + 1/2*j - s*j**4 - 3/2*j**2 + 3/2*j**3 = 0. What is j?
0, 1
Suppose 4*u = -0*u + 8. Let v(x) = -x**2 + x + 6. Let f be v(-2). Find q such that -1/3*q**u + 0*q + f = 0.
0
Let j(t) be the first derivative of t**5/80 + t**4/12 + t**3/6 - 4*t + 4. Let x(z) be the first derivative of j(z). Factor x(w).
w*(w + 2)**2/4
Let j(l) = -2*l - 3. Let r be j(-3). Factor 1/4 + 1/4*h**4 - 1/2*h**2 + 0*h**r + 0*h.
(h - 1)**2*(h + 1)**2/4
Let q be (-2)/4*0/(-1). Let m = 3 - q. Factor 1 + 0 + m*a**3 - a**3 - 3*a**2.
(a - 1)**2*(2*a + 1)
Suppose -10 = -0*k - k + 2*l, 5*k - 41 = l. Let y be (40/(-50))/(k/(-6)). Let 3/5*h + 3/5 - 3/5*h**3 - y*h**2 = 0. What is h?
-1, 1
Let w(q) be the second derivative of 0*q**4 + 0 + 2*q + 1/42*q**7 + 0*q**3 + 0*q**5 + 0*q**2 - 1/30*q**6. Factor w(n).
n**4*(n - 1)
Suppose s - 50 = -4*y - 4*s, -5*y = s - 52. Suppose 6 = 4*v - y. Let 4*p**2 - 4*p**3 - 5*p**2 - p**v + 2*p**3 = 0. Calculate p.
-1, 0
Let f = 71 - 71. Factor -1/2*p**3 + f*p + 0 + p**2.
-p**2*(p - 2)/2
Let i be (18/(-7))/((-21)/98). Let v be (i/10)/3*10. Factor -4*t**2 + 2 - 5*t + 2*t**2 + v*t**2.
(t - 2)*(2*t - 1)
Let c(g) be the third derivative of 0*g + 0 + 0*g**3 + 1/36*g**4 - 1/90*g**5 - 4*g**2. Solve c(p) = 0 for p.
0, 1
Let f = 0 - -3. What is s in -16*s**3 + 26*s**5 + 2*s + 4*s**5 + 2*s**5 - 18*s**f = 0?
-1, -1/4, 0, 1/4, 1
Let j(g) be the second derivative of 0 + 11/15*g**3 - 3*g + 2/5*g**2 + 13/30*g**4 + 2/25*g**5. Solve j(o) = 0 for o.
-2, -1, -1/4
Factor -2/11*j**4 - 10/11*j**3 - 16/11*j**2 - 8/11*j + 0.
-2*j*(j + 1)*(j + 2)**2/11
Let m(a) be the third derivative of -a**8/112 - 2*a**7/35 - 3*a**6/20 - a**5/5 - a**4/8 - 53*a**2. Suppose m(s) = 0. Calculate s.
-1, 0
Let g be (-7)/(-35) - (-18)/10. Find z such that z + 6*z**2 - 2 - g*z**2 + 4 + 5*z = 0.
-1, -1/2
Let s(m) be the third derivative of -m**9/80640 + m**7/6720 + m**5/12 + 4*m**2. Let z(d) be the third derivative of s(d). Factor z(x).
-3*x*(x - 1)*(x + 1)/4
Let w be (-9)/2*36/(-27). Let c be (-15)/(-4) - w/8. Factor 0 - 1/5*l**c + 0*l + 0*l**2.
-l**3/5
Let j(s) be the second derivative of s**5/10 + 4*s**4/3 + 13*s**3/3 + 6*s**2 - 10*s. Factor j(k).
2*(k + 1)**2*(k + 6)
Solve 0 + 2/17*o**2 + 2/17*o**3 - 4/17*o = 0 for o.
-2, 0, 1
Let j(d) be the third derivative of -d**8/896 + d**7/560 + d**6/80 - d**5/40 + 9*d**2. Solve j(k) = 0 for k.
-2, 0, 1, 2
Let l(x) = -7*x**2 + 4*x + 2. Suppose 0 = p + 6 + 3. Let o(q) = -3*q**2 + 2*q + 1. Let k(v) = p*o(v) + 4*l(v). Determine i, given that k(i) = 0.
-1
Let r(k) be the second derivative of 3*k**5/40 + k**4/4 - 7*k**3/4 + 3*k**2 - 47*k. Find d such that r(d) = 0.
-4, 1
Suppose -j = -10 + 8. Find t, given that 0 + 4/9*t**j - 2/9*t**3 - 2/9*t = 0.
0, 1
Let g be (10/(-25))/(-1 - (-4)/5). Suppose -6*i**3 - 32/3*i - 8/3 - 14*i**g = 0. What is i?
-1, -2/3
Let p(u) be the third derivative of -u**11/110880 - u**10/40320 - u**9/80640 - 7*u**5/60 - 6*u**2. Let v(l) be the third derivative of p(l). Factor v(j).
-3*j**3*(j + 1)*(4*j + 1)/4
Let k(u) = -2*u**2 - 8*u - 8. Let v(z) be the second derivative of 5*z**4/6 + 20*z**3/3 + 20*z**2 - 4*z. Let r(l) = -14*k(l) - 3*v(l). Factor r(f).
-2*(f + 2)**2
Let g(a) be the third derivative of -a**8/100800 - a**7/25200 - a**5/30 + 3*a**2. Let z(v) be the third derivative of g(v). Factor z(k).
-k*(k + 1)/5
Let z(l) = l**3 - 2*l**2 + 8*l + 1. Let s(n) = n**2 - n. Let g(q) = 10*s(q) + 2*z(q). Factor g(k).
2*(k + 1)**3
Suppose 8*g = 7 + 9. Determine t so that -2/7*t**g + 4/7*t + 0 = 0.
0, 2
Let o(w) = -4*w**5 + 8*w**4 + 16*w**3 - 40*w**2 - 12*w - 16. Let z(p) = -p**5 + 3*p**4 + 5*p**3 - 13*p**2 - 4*p - 5. Let r(f) = -5*o(f) + 16*z(f). Factor r(j).
4*j*(j - 1)*(j + 1)**3
Let h(s) = s**3 + 6*s**2 - 6*s + 9. Let p be h(-7). Factor -6*o**p + o + o**2 + 4*o**2.
-o*(o - 1)
Solve 3/2*f - 1/2*f**2 + 1 - 3/2*f**3 - 1/2*f**4 = 0.
-2, -1, 1
Let u(b) = b**5 - b**3 - b**2 - b. Let r(p) = -3*p**5 + 5*p**4 + 9*p**3 + 6*p**2 + 5*p. Let v(x) = -3*r(x) - 15*u(x). Determine g, given that v(g) = 0.
-1, -1/2, 0
Let v(d) be the third derivative of d**9/7560 + d**8/2100 - d**3/2 + d**2. Let g(j) be the first derivative of v(j). Solve g(k) = 0 for k.
-2, 0
Let i(y) be the second derivative of 4/3*y**3 - 2*y**2 + y**4 + 9*y + 0. What is b in i(b) = 0?
-1, 1/3
Solve -3/7 + 3/7*c + 3/7*c**2 - 3/7*c**3 = 0.
-1, 1
Suppose -7*d - 61 = -82. Factor -2*w + 6/5*w**d + 4/5 - 8/5*w**2.
2*(w - 2)*(w + 1)*(3*w - 1)/5
Let n(g) be the second derivative of -g**6/30 + g**5/4 - 2*g**4/3 + 2*g**3/3 + 25*g. Factor n(f).
-f*(f - 2)**2*(f - 1)
Let r = -11/3 + 4. Let w(g) be the first derivative of -1/9*g**3 - 1/3*g + r*g**2 + 2. Determine k, given that w(k) = 0.
1
Let i(v) be the third derivative of -v**9/7560 - v**8/1120 + v**6/90 + 5*v**4/24 + 5*v**2. Let u(r) be the second derivative of i(r). Factor u(k).
-2*k*(k - 1)*(k + 2)**2
Let v = -26 - -30. Let n(k) be the first derivative of 2 + 0*k**3 - 1/10*k**v + 0*k**2 + 0*k. Solve n(r) = 0.
0
Let t = 315 - 315. Factor 1/3*s**2 + t + 0*s.
s**2/3
Suppose 0 = -2*l - 82 + 88. Let c(s) be the second derivative of -1/6*s**3 + 0 + l*s + 0*s**2 + 0*s**4 + 1/20*s**5. Factor c(w).
w*(w - 1)*(w + 1)
Let x(r) be the third derivative of 1/60*r**5 - 1/24*r**4 + 0*r + 0*r**3 + 0 - 3*r**2 - 1/210*r**7 + 1/120*r**6. Factor x(p).
-p*(p - 1)**2*(p + 1)
Let v be (3/(-9))/((-80)/(-24) - 5). Suppose 9/5 + v*g**2 + 6/5*g = 0. What is g?
-3
Let k(q) be the first derivative of