*r**5/28 - r**4/8 - 27*r**2. Suppose f(k) = 0. What is k?
0, 1, 7
Suppose 1 - 19 = -6*f. Let n(r) be the second derivative of 0*r**2 - r + 0 + 1/12*r**4 + 0*r**f. Factor n(c).
c**2
Let y(l) = 19*l**2 - 2*l + 1. Let c be y(1). Let s be (-1 - 2)/(c/(-12)). Find f, given that 1/4 - 1/2*f**s - 1/2*f**3 + 1/4*f + 1/4*f**5 + 1/4*f**4 = 0.
-1, 1
Solve -4/3*k + 8 - 4/3*k**2 = 0.
-3, 2
Let d(r) be the third derivative of -r**6/24 - r**5/12 + 25*r**4/24 - 5*r**3/2 - 4*r**2. Factor d(s).
-5*(s - 1)**2*(s + 3)
Let v(a) = 2*a**5 + 4*a**3 + 5*a**2 - 2. Let z(h) = -h**5 - h**2 - h. Let b(q) = v(q) + 3*z(q). What is r in b(r) = 0?
-1, 1, 2
Let w(b) = b + 17. Let l be w(-15). Determine s so that 44/7*s**3 - 26/7*s**4 + 2*s - 36/7*s**l - 2/7 + 6/7*s**5 = 0.
1/3, 1
Let p(i) be the third derivative of 0 + 1/15*i**3 - 1/30*i**4 + 6*i**2 + 1/150*i**5 + 0*i. Factor p(c).
2*(c - 1)**2/5
Let x be (-2 + 1 - 1)*40/(-120). Factor -1/3 - 1/3*k**5 - 1/3*k + 2/3*k**2 - 1/3*k**4 + x*k**3.
-(k - 1)**2*(k + 1)**3/3
Let p(t) be the second derivative of t**5/160 + t**4/24 + t**3/12 - 22*t. Factor p(x).
x*(x + 2)**2/8
Factor 2/3 + 4/9*c - 2/9*c**2.
-2*(c - 3)*(c + 1)/9
Suppose -16/5*b**2 - 1/5 + 8/5*b = 0. What is b?
1/4
Let m(d) = -d**4 + d**3 + d**2 + 1. Let o(q) = 2*q**4 - 14*q**3 - 5*q**2 + 12*q - 5. Let v(p) = 5*m(p) + o(p). Let v(l) = 0. Calculate l.
-2, 0, 1
Suppose -3*n = 4*z - n - 2, 3*n = 2*z - 13. Find a such that -17*a**3 + 12*a**5 + 7*a**3 - 10*a**4 + 12*a**4 - 4*a**z = 0.
-2/3, -1/2, 0, 1
Let w(c) be the first derivative of 0*c + 1/20*c**5 - 3 + 1/6*c**3 - 3/16*c**4 + 0*c**2. Factor w(j).
j**2*(j - 2)*(j - 1)/4
Let n(k) be the third derivative of -1/60*k**5 + 0 - k**2 + 0*k - 1/6*k**3 + 1/12*k**4. Factor n(b).
-(b - 1)**2
Let 3/2*b**2 + 9/2*b**3 + 0 + 0*b + 3*b**4 = 0. Calculate b.
-1, -1/2, 0
Suppose 4*o - 12 = -4*c, 1 = 3*c + 19*o - 24*o. Suppose 2/5*q**3 + 4/5*q**4 + 0 - 4/5*q**c - 2/5*q**5 + 0*q = 0. What is q?
-1, 0, 1, 2
Let n(u) be the second derivative of -u**3/6 + 7*u**2/2 + 2*u. Let x be n(3). Factor 2/7*b**x + 8/7*b**2 + 0*b - 8/7*b**3 + 0.
2*b**2*(b - 2)**2/7
Let h(o) be the third derivative of o**5/5 + o**4/6 + o**3/18 - 8*o**2. Factor h(b).
(6*b + 1)**2/3
Solve 10*w - 7*w - 4*w - 28*w**2 + 16*w**4 + 20*w**3 - 7*w = 0.
-2, -1/4, 0, 1
Let r be (-6)/39 - (-270)/65. Suppose 6*f + 2*w - 2 = 5*f, 5*f = -w + 19. What is m in -r - m**2 + 2 + 2 + m**f = 0?
-1, 0, 1
Let w(z) be the third derivative of 0*z + 0*z**5 + 0*z**4 + 0 + 1/1176*z**8 - 1/420*z**6 + 0*z**7 + 0*z**3 + 7*z**2. Let w(t) = 0. What is t?
-1, 0, 1
Let t = 55/1236 - -4/103. Let i(f) be the second derivative of 0 - 1/6*f**3 - f - t*f**4 - 1/60*f**5 - 1/6*f**2. Let i(r) = 0. Calculate r.
-1
Let w(g) = -3*g - 16. Let u be w(-8). Let o be 0/(3 + -1) - -8. Factor -u + o - f**2 - f.
-f*(f + 1)
Let k(c) be the first derivative of c**4/14 - 3*c**2/7 + 4*c/7 - 6. Factor k(d).
2*(d - 1)**2*(d + 2)/7
Let y(n) be the first derivative of n**6/24 + 2*n**5/5 + 11*n**4/8 + 2*n**3 + 9*n**2/8 + 16. Suppose y(d) = 0. What is d?
-3, -1, 0
Let m(b) = -3*b**4 + b**3 + 7*b**2 - b - 6. Let t(w) = 39*w**4 - 12*w**3 - 90*w**2 + 12*w + 78. Let g(j) = 27*m(j) + 2*t(j). Suppose g(h) = 0. Calculate h.
-1, 1, 2
Let l = 3 - -4. Let y(h) = -10*h**2 - 13*h. Let v(j) = 3*j**2 + 4*j. Let r(c) = l*v(c) + 2*y(c). Factor r(i).
i*(i + 2)
Let y(b) be the second derivative of -b**8/2520 + b**6/270 - b**4/36 + b**3/6 - 5*b. Let t(u) be the second derivative of y(u). Let t(m) = 0. What is m?
-1, 1
Let f be ((-34)/120)/(-17) + 0. Let l(r) be the second derivative of -f*r**6 + 0*r**4 + 1/4*r**2 + 1/20*r**5 + 0 - 4*r - 1/6*r**3. Factor l(u).
-(u - 1)**3*(u + 1)/2
Let d(w) = -3*w - 6. Let z be d(-4). Let n = -4 + z. Determine i so that -2*i**n - i**4 - 3*i**2 + i + 6*i**2 - i**3 = 0.
-1, 0, 1
Suppose w + 5*y - 2 = -0, -5*y = -2*w - 11. Let p(l) = l**3 + l**2 + 4*l - 3. Let n(u) = 2*u**3 + 2*u**2 + 12*u - 8. Let k(t) = w*n(t) + 8*p(t). Factor k(q).
2*q*(q - 1)*(q + 2)
Let 14/17*q + 10/17*q**3 + 2/17*q**4 + 4/17 + 18/17*q**2 = 0. What is q?
-2, -1
Let i(j) = -j**3 - 6*j**2 + j + 8. Let o be i(-6). Factor -6*m**2 + 2*m + 2*m**3 + 2*m**o + 0*m.
2*m*(m - 1)**2
Let r(n) be the second derivative of -11*n**5/20 - 17*n**4/3 - 37*n**3/2 - 9*n**2 - 2*n. What is g in r(g) = 0?
-3, -2/11
Factor -3/11*u + 0 - 1/11*u**2.
-u*(u + 3)/11
Factor 0 - 1/8*j**2 + 0*j.
-j**2/8
Let n(k) = -k**2 - 11*k - 10. Let g be n(-7). Solve 13*z**2 + 2 + 11*z**2 + 2 - 5*z**3 - 5*z**3 - g*z = 0 for z.
2/5, 1
Let m(h) be the second derivative of 1/48*h**4 - 1/4*h**2 + 0 - 1/24*h**3 + 3*h. Determine d so that m(d) = 0.
-1, 2
Factor -4/5*h**2 + 54/5*h**4 + 6/5*h**3 + 0*h + 0.
2*h**2*(3*h + 1)*(9*h - 2)/5
Determine q so that 2/9*q**3 + 0*q**2 - 2/9*q + 0 = 0.
-1, 0, 1
Let h(d) be the third derivative of 0*d + 0 - 1/60*d**6 + 1/210*d**7 - 1/30*d**5 - 9*d**2 + 1/336*d**8 + 1/6*d**3 + 1/24*d**4. Factor h(c).
(c - 1)**2*(c + 1)**3
Let i be 6/(-2)*5/(-3). Factor -2*l - 2*l**i - 4*l**4 - 2*l + 5*l + 4*l**2 + l.
-2*l*(l - 1)*(l + 1)**3
Factor 3/2*p + 0 + 39/8*p**3 + 3/8*p**5 + 9/2*p**2 + 9/4*p**4.
3*p*(p + 1)**2*(p + 2)**2/8
Find u, given that -1/7*u**3 - 8/7*u + 0 - 6/7*u**2 = 0.
-4, -2, 0
Determine b so that 1/3*b**2 + 0 + 0*b = 0.
0
Let h(g) be the second derivative of g**7/2205 - g**6/504 + g**5/420 - 2*g**4/3 + 7*g. Let t(d) be the third derivative of h(d). Factor t(m).
2*(m - 1)*(4*m - 1)/7
Suppose 9 = -3*w + 3*l, -w + 3*l + 2 = 15. Let h be (-2)/1*(-9)/45. Let -h*z + 2/5*z**w + 2/5*z**3 - 2/5 = 0. What is z?
-1, 1
Let w(j) be the first derivative of 3*j**4/11 - 10*j**3/33 - j**2/11 + 11. Factor w(i).
2*i*(i - 1)*(6*i + 1)/11
Let w(p) = -12*p**4 - 12*p**3 + 4. Let h(d) = -d**5 + 12*d**4 + 12*d**3 - d**2 - 5. Let f(n) = -4*h(n) - 5*w(n). Factor f(q).
4*q**2*(q + 1)**3
Let g(i) be the third derivative of i**5/90 - i**4/9 + 4*i**3/9 + 8*i**2. Factor g(r).
2*(r - 2)**2/3
Let w(m) = -3*m**5 - 2*m**3. Let r be 12/(-36) - (-17)/(-3). Let h(p) = -3*p**5 - 3*p**3. Let l(d) = r*w(d) + 5*h(d). Factor l(u).
3*u**3*(u - 1)*(u + 1)
Find k such that 441*k**2 + 1323*k**2 - 67*k - 49*k - 220*k + 16 = 0.
2/21
Let j(d) = -d**2 - d - 1. Let u(w) = 4*w**4 - 8*w**3 - 2*w**2 - 2*w - 2. Let p(m) = 2*j(m) - u(m). Factor p(l).
-4*l**3*(l - 2)
Let a(q) be the third derivative of -q**6/120 - q**5/180 - 10*q**2. Solve a(x) = 0.
-1/3, 0
Let d = 19 + -19. Let t(p) = -p**3 - p**2 + p + 3. Let l be t(d). Suppose 0 + 0*h**2 + 1/4*h - 1/4*h**l = 0. What is h?
-1, 0, 1
Let v(y) be the second derivative of -y**9/52920 - y**4/12 + y. Let n(c) be the third derivative of v(c). Factor n(g).
-2*g**4/7
Let p(y) be the first derivative of 5*y**4/32 - y**3/3 + y**2/16 + y/4 - 18. Determine h, given that p(h) = 0.
-2/5, 1
Factor 1/3*o**3 + 0 - 4/3*o**2 + 4/3*o.
o*(o - 2)**2/3
Let y(n) = 2*n**2 - 2*n - 10. Let h be y(-2). Factor 0 + 1/3*o**4 + 1/3*o + o**3 + o**h.
o*(o + 1)**3/3
Suppose -3*f = -2 - 4. Determine r, given that f*r**4 + 0*r**4 + 2*r**3 - r**4 = 0.
-2, 0
Suppose -2*v - 3*v = 0. Suppose 5*i - 31 = -4*a - 4, v = -4*i - 5*a + 27. Factor -4/3*j**4 - 2/3 - 6*j**2 + 10/3*j + 14/3*j**i.
-2*(j - 1)**3*(2*j - 1)/3
Let n be ((-14)/(-10) + -1)/1. Factor 18/5*u**2 + 3/5*u**5 - 11/5*u - 4/5*u**4 + n - 8/5*u**3.
(u - 1)**3*(u + 2)*(3*u - 1)/5
Let i = -101 - -101. Let a(q) be the second derivative of -3/10*q**4 + i + 6/25*q**5 + 2*q + 0*q**2 - 1/15*q**6 + 2/15*q**3. Factor a(o).
-2*o*(o - 1)**2*(5*o - 2)/5
Let k(d) be the first derivative of d**8/3360 - d**7/1680 + 2*d**3 + 9. Let w(h) be the third derivative of k(h). Factor w(a).
a**3*(a - 1)/2
Let c be (-3)/((81/4)/(-3)). Determine v, given that -c*v**2 - 2/9*v - 2/9*v**3 + 0 = 0.
-1, 0
Let r(p) be the second derivative of -p**8/252 + p**6/45 - p**4/18 - 5*p**2 - p. Let n(y) be the first derivative of r(y). Let n(u) = 0. Calculate u.
-1, 0, 1
Let u(b) be the first derivative of -b**6/720 + 2*b**3/3 - 4. Let k(o) be the third derivative of u(o). Factor k(d).
-d**2/2
Let q(s) = -2*s**4 + 17*s**3 - 36*s**2 + 37*s - 19. Let w(m) = -18*m**4 + 152*m**3 - 324*m**2 + 334*m - 170. Let x(c) = 52*q(c) - 6*w(c). Factor x(l).
4*(l - 2)**3*(l - 1)
Let f be 14/6 - ((-42)/9 - -5). Find y, given that 2/3*y + 8*y**3 + 0 - 4*y**2 + f*y**5 - 20/3*y**4 = 0.
0, 1/3, 1
Let z be 48/15*4/(-56). Let f