+ 3*p + 5. Let f(r) = -3*a(r) - 5*o(r). Find c, given that f(c) = 0.
-1, -1/3, 0
Let f = 791 - 14231/18. Let v(p) be the first derivative of -2 - 7/12*p**4 + 2/9*p**3 + f*p**6 - 2/15*p**5 + 0*p**2 + 0*p. Find m, given that v(m) = 0.
-1, 0, 2/7, 1
Factor -2*r - 2*r**4 - 168*r**2 + 4*r - 2*r**3 + 170*r**2.
-2*r*(r - 1)*(r + 1)**2
Solve 0*h**3 + 0*h + 0 - 1/5*h**2 + 1/5*h**4 = 0.
-1, 0, 1
Let s(u) be the first derivative of -3 - 1/9*u**2 - 2/27*u**3 + 0*u. Factor s(w).
-2*w*(w + 1)/9
Let k(w) be the third derivative of w**8/6720 + w**7/560 + w**6/120 + w**5/60 + 2*w**2. Let j(l) be the third derivative of k(l). Solve j(b) = 0.
-2, -1
Suppose 29*n - 34*n + 10 = 0. Find t, given that -1/3*t**5 - 3*t**3 - 7/3*t**n + 0 - 5/3*t**4 - 2/3*t = 0.
-2, -1, 0
Let x(w) = -20*w**3 + 48*w**2 + 46*w - 17. Let s(d) = -81*d**3 + 192*d**2 + 183*d - 69. Let z(b) = -5*s(b) + 21*x(b). Solve z(t) = 0.
-1, 1/5, 4
Let f = 1/114 - -28/57. Factor -1/2*k + 1/2 - 1/2*k**2 + f*k**3.
(k - 1)**2*(k + 1)/2
Let o(i) be the third derivative of -i**5/300 + i**4/40 - 11*i**2. Factor o(t).
-t*(t - 3)/5
Let d(l) = -2*l**2 - 7*l + 2. Let p be d(-5). Let g = p + 18. Solve 7 - 2 - 6*z - 1 + g + z**2 = 0.
3
Suppose a = -4*w - 4, 0 = a + w - 2. Let n = -4 - -4. Solve 8*s**2 + n*s**3 + 6*s**a - s**2 - 13*s**3 - 1 + s = 0.
-1/3, 1/2, 1
Let b(w) be the second derivative of w**7/210 - w**5/50 + w**3/30 + 4*w. Let b(x) = 0. Calculate x.
-1, 0, 1
Factor 4*m**2 - 3*m - 3*m**3 - m**3 + m**3 + 2*m**2.
-3*m*(m - 1)**2
Let j(z) be the third derivative of -1/210*z**5 + 0*z**4 + 0*z**3 - 2*z**2 + 0 - 1/420*z**6 + 0*z. Find d, given that j(d) = 0.
-1, 0
Let c(o) be the first derivative of -o**5 + 5*o**4/2 - 5*o**3/3 + 14. Determine n, given that c(n) = 0.
0, 1
Let h(o) = -o + 2. Let n be h(5). Let s be 1/2 + n/(-2). Factor -3*l**2 + 7*l**s + l + 0*l.
l*(4*l + 1)
Factor 6/5*x + 3/5*x**2 - 3/5*x**3 + 0.
-3*x*(x - 2)*(x + 1)/5
Let k(w) = -w**4 + 5*w**3 - 2*w**2 - 2*w. Let y(q) = 3*q**4 - 16*q**3 + 7*q**2 + 5*q. Let f(o) = -7*k(o) - 2*y(o). Determine v, given that f(v) = 0.
-1, 0, 2
Suppose 5 = 2*n - 3. Determine d, given that -6/5*d**n + 6/5*d**2 + 4/5*d + 0 - 2/5*d**5 - 2/5*d**3 = 0.
-2, -1, 0, 1
Let p = -12 - -6. Let d be p/2*6/(-45). Factor d*u**3 - 2/5*u**2 + 0*u + 0.
2*u**2*(u - 1)/5
Let c(r) be the third derivative of 0 - 1/480*r**6 - 1/120*r**5 + 0*r + r**2 - 1/96*r**4 + 0*r**3. Factor c(z).
-z*(z + 1)**2/4
Solve 3/2*n**2 - 3/2 + 1/2*n - 1/2*n**3 = 0 for n.
-1, 1, 3
Let u(s) = s + 10. Let h be u(-7). Find r, given that -4*r**2 - 2*r**2 + 21*r**4 + 0*r + 20*r**3 + h*r**2 - 2*r = 0.
-1, -2/7, 0, 1/3
Let p(z) = -3*z**3 - 24*z**2 - 24*z - 13. Let s(r) = -16*r**3 - 132*r**2 - 132*r - 72. Let c(u) = -28*p(u) + 5*s(u). Solve c(o) = 0 for o.
-1
Let a(t) = 2*t**2 - t + 9. Let f(y) = -y**2 + 2*y - 15. Let s(q) = -3*q**2 + 8*q - 61. Let m(d) = -9*f(d) + 2*s(d). Let w(k) = 7*a(k) - 5*m(k). Factor w(n).
-(n - 2)*(n - 1)
Let g(q) be the third derivative of q**10/453600 - q**8/60480 - q**5/20 + q**2. Let s(u) be the third derivative of g(u). Determine o, given that s(o) = 0.
-1, 0, 1
Let z = -3 - -7. Suppose z*p - 2 = 3*p - 2*a, p = -4*a. Suppose -5*y**2 + 1 + 4*y**2 - 7 + p*y + 2 = 0. What is y?
2
Let x(y) = -3*y**5 + 4*y**4 - y**3 - 4*y. Let a(k) be the second derivative of k**7/42 - k**6/30 + k**3/6 + 9*k. Let w(i) = 4*a(i) + x(i). Factor w(s).
s**3*(s - 1)*(s + 1)
Let -5*q**3 - 4*q**2 + 4*q**5 - q**4 + q**5 + 9*q**2 - 4*q**4 = 0. What is q?
-1, 0, 1
Let y(g) = g**2 - 2*g - 2. Let m(q) = 2*q**2 - 4*q - 3. Let z(s) = -3*m(s) + 5*y(s). Let n be z(1). Factor -2*l**4 - 12*l**3 - 9 - 26*l**2 + 1 + n*l**4 - 24*l.
-2*(l + 1)**2*(l + 2)**2
Let k(s) be the first derivative of -4 - 4/3*s**3 + 1/210*s**5 + 1/1260*s**6 + 0*s**2 + 0*s**4 + 0*s. Let m(n) be the third derivative of k(n). Factor m(i).
2*i*(i + 2)/7
Let z(b) be the second derivative of 2*b**6/15 - b**5 - b**4/3 + 10*b**3/3 + 10*b + 5. Factor z(v).
4*v*(v - 5)*(v - 1)*(v + 1)
Let j(r) be the first derivative of r**3/4 + r**2/4 - r/4 - 3. Factor j(v).
(v + 1)*(3*v - 1)/4
Suppose 35*t = 21*t + 28. Let 2/11*v**t + 2/11 + 4/11*v = 0. Calculate v.
-1
Suppose 0 = 4*s + 4*b - 60, -s + 48 = 3*s - 2*b. Factor 4 + 19*c**2 - s*c**2 - 10*c**2.
-4*(c - 1)*(c + 1)
Let q(z) be the first derivative of 1/16*z**4 - 1/24*z**6 + 0*z**2 - 3 + 0*z - 1/12*z**3 + 1/20*z**5. Factor q(t).
-t**2*(t - 1)**2*(t + 1)/4
Let n(x) be the third derivative of -x**9/7560 - x**8/2100 - x**7/2100 - x**3/6 - 2*x**2. Let l(z) be the first derivative of n(z). Factor l(i).
-2*i**3*(i + 1)**2/5
Suppose z + 3*c - 52 = -38, 5*c - 10 = 5*z. Factor 2/5*r**z - 2/5 - 2/5*r + 2/5*r**3.
2*(r - 1)*(r + 1)**2/5
Let i(y) be the second derivative of -1/60*y**5 + 0*y**2 + 0*y**3 - 4*y + 0 + 1/36*y**4. Factor i(a).
-a**2*(a - 1)/3
Let b = 240 - 1196/5. Let w(l) = -l**2 - 6*l + 5. Let o be w(-6). Determine z so that 6/5*z**4 + 4/5*z**3 - b*z**2 - 2/5 + 2/5*z**o - 6/5*z = 0.
-1, 1
Let n = -40 + 40. Let p(y) be the second derivative of 2/3*y**3 - y + 1/6*y**4 + y**2 + n. Solve p(m) = 0.
-1
Factor -4/7 + 6/7*t - 2/7*t**2.
-2*(t - 2)*(t - 1)/7
Let u(x) be the third derivative of 4*x**7/1575 - x**6/225 + x**5/300 - x**4/8 - 4*x**2. Let a(h) be the second derivative of u(h). Factor a(j).
2*(4*j - 1)**2/5
Let u(r) be the second derivative of r**4/24 - 5*r**3/6 + 25*r**2/4 - 9*r. Factor u(v).
(v - 5)**2/2
Suppose 4*y = 6*y - 6. Let s be (0 - -1)/(y/6). What is g in -1/2*g**2 - s*g - 2 = 0?
-2
Suppose k + 4*m = 5*m - 10, 5*m = 2*k + 35. Let y(c) = 6*c**4 - 3*c**3 - 2*c**2 - c - 5. Let p(h) = -h**4 + h**2 + 1. Let r(l) = k*p(l) - y(l). Factor r(a).
-a*(a - 1)**3
Suppose h + 9 = -3*l, -3*h - 2 = 2*l + 4. Let d(m) be the second derivative of h - 2*m + 1/4*m**2 - 1/24*m**4 + 1/12*m**3 - 1/40*m**5. Factor d(x).
-(x - 1)*(x + 1)**2/2
Let j(m) be the second derivative of -m**7/21 + 2*m**6/5 - 11*m**5/10 + m**4/3 + 4*m**3 - 8*m**2 + 20*m. Factor j(q).
-2*(q - 2)**3*(q - 1)*(q + 1)
Factor 1 - 1/5*l**2 + 4/5*l.
-(l - 5)*(l + 1)/5
Let g be (33/(-35) - -2) + 60/(-70). Factor -g*w - 1/5*w**5 - 1/5 + 2/5*w**3 + 2/5*w**2 - 1/5*w**4.
-(w - 1)**2*(w + 1)**3/5
Let k be 1/(1/1)*0. Suppose k*m = 2*m. Factor -1/3*r**3 + 1/3*r**4 + m - 1/3*r**2 + 1/3*r.
r*(r - 1)**2*(r + 1)/3
Let q(v) = v**2 - 10*v + 30. Let k be q(5). Suppose -1/2*g**4 + 3/2*g**k - 3/2*g**3 + 0*g + 0 + 1/2*g**2 = 0. What is g?
-1, 0, 1/3, 1
Let c = 18 + -18. Let w(a) be the second derivative of -2*a - 1/24*a**4 + c + 0*a**3 + 1/4*a**2. Factor w(s).
-(s - 1)*(s + 1)/2
Let f(w) = -w**5 - w**4 + w**2 + 1. Let k(n) = n**5 + n**4 - 4*n**3 - 3*n**2 + 2*n + 3. Let o(a) = 2*f(a) - 2*k(a). Factor o(r).
-4*(r - 1)**2*(r + 1)**3
Factor 2*b**2 - 182*b - 2*b**4 - 8*b**3 + 186*b + 4*b**3.
-2*b*(b - 1)*(b + 1)*(b + 2)
Let h(l) = l**3 + 7*l**2 - 16. Let i(n) = -13 - n**3 - n**3 + 37 - 10*n**2. Let y(c) = -8*h(c) - 5*i(c). Let y(o) = 0. Calculate o.
-1, 2
Let j(n) = -n**3 + 7*n**2 + 5*n - 7. Let a(m) = 2*m**3 - 8*m**2 - 6*m + 6. Let o(t) = -2*a(t) - 3*j(t). Determine l so that o(l) = 0.
-3, 1
Let y be (2/(-6))/((-2)/18). Suppose 3*z = -3*c + 12, -3*z - 5*c + 9 = -3. Factor -o**3 - o**y - o**z + o**3.
-o**3*(o + 1)
Let x(h) = 9*h**2 + 17*h. Let t be x(-2). Suppose 5/2*i**4 - 15/2*i**t + 2 - 2*i - i**3 = 0. Calculate i.
-1, 2/5, 2
Let f = -21 + 31. Let a be ((-8)/f)/(16/(-40)). Find c such that -2/5*c**a + 2/5 + 2/5*c - 2/5*c**3 = 0.
-1, 1
Let l be ((-1)/2)/((-3)/18). Let u(p) be the first derivative of -1/7*p**2 + 0*p**4 - 4/35*p**5 + 3 + 4/21*p**l + 0*p + 1/21*p**6. Suppose u(s) = 0. What is s?
-1, 0, 1
Factor -4 - 54/5*n - 2*n**2.
-2*(n + 5)*(5*n + 2)/5
Let b(k) be the first derivative of -25*k**4/4 + 5*k**3 + 5*k**2 + 15. Factor b(t).
-5*t*(t - 1)*(5*t + 2)
Determine d, given that -5/4*d**2 + 1/4*d**3 + 2*d - 1 = 0.
1, 2
Let d(m) be the third derivative of m**6/20 + 9*m**5/40 + 3*m**4/8 + m**3/4 + 19*m**2. Factor d(y).
3*(y + 1)**2*(4*y + 1)/2
Let g(i) = -i. Let k be g(4). Let s(x) = -x**3 - 3*x**2 + 4*x. Let b be s(k). Factor b + 2/7*y**2 + 4/7*y.
2*y*(y + 2)/7
Let z(i) be the first derivative of -i**4/4 + 2*i**3/3 + 7*i**2/2 + 4*i + 11. Factor z(c).
-(c - 4)*(c + 1)**2
Let v(f) = -f**2 - 7*f - 6. Let t be v(-6). Suppose t = -2*b + b + 3. Suppose -1/4*r**4 - 1/2*r**b + 1/4 + 1/2*r + 0*r**2