 13/75*p**5 + 9*p. What is c in w(c) = 0?
-2, -1/4, 0, 1/3, 1
Let c(n) be the second derivative of 2*n**7/21 + 2*n**6/3 + 9*n**5/5 + 7*n**4/3 + 4*n**3/3 - 54*n. Factor c(r).
4*r*(r + 1)**3*(r + 2)
Factor 1/7*l**2 + 1/7*l - 2/7.
(l - 1)*(l + 2)/7
Let r(y) be the second derivative of -3*y - 1/30*y**4 + 0 + 1/75*y**6 + 1/30*y**7 + 0*y**2 + 0*y**3 - 7/100*y**5. Find q, given that r(q) = 0.
-1, -2/7, 0, 1
Let -6/7 - 10/7*x**2 - 2/7*x**3 - 2*x = 0. Calculate x.
-3, -1
Let r(z) be the first derivative of z**6/60 + z**5/60 - z**4/6 + z**3 - 1. Let f(k) be the third derivative of r(k). Find o, given that f(o) = 0.
-1, 2/3
Let q(v) be the second derivative of v**6/30 - v**5/20 - v**4/6 - 4*v. Factor q(c).
c**2*(c - 2)*(c + 1)
Let d(c) be the third derivative of -5*c**5/32 - 5*c**4/16 - c**3/4 - 4*c**2. Factor d(r).
-3*(5*r + 2)**2/8
Let n(j) be the first derivative of -j**4/12 + 2*j**3/3 - 11*j**2/6 + 2*j - 35. Factor n(q).
-(q - 3)*(q - 2)*(q - 1)/3
Let a = -43 + 45. Let c(t) be the first derivative of 4/3*t**3 - t + a + 3/2*t**2. Find j such that c(j) = 0.
-1, 1/4
Suppose -4*z**5 - 18*z + 2*z - 8*z**4 + 12*z**3 + 3*z**2 + 13*z**2 = 0. Calculate z.
-2, 0, 1
Let z = 2318/7 + -330. Factor -8/7*k + 2/7*k**2 + z.
2*(k - 2)**2/7
Let g(k) be the third derivative of k**5/60 + k**4/12 + k**3/6 - 4*k**2. Let g(m) = 0. What is m?
-1
Let j(c) be the second derivative of 4*c**3 + c - 49/20*c**5 + 2*c**2 + 7/4*c**4 + 0. Factor j(r).
-(r - 1)*(7*r + 2)**2
Let j(l) = l**3 + 8*l**2 - 11*l + 3. Let v(z) = -6*z**3 - 40*z**2 + 56*z - 16. Let r(f) = 16*j(f) + 3*v(f). Factor r(c).
-2*c*(c - 2)**2
Suppose -3*x + 11 = -4*i, 2 = x - 3. Let q(a) = 8*a**3 - 24*a**2 + 10*a + 6. Let o(f) = -f**2 + f + 1. Let z(g) = i*q(g) - 6*o(g). Find n, given that z(n) = 0.
0, 1/4, 2
Suppose 2*v + 2*v = 0. Let c(p) be the first derivative of 2 + 1/4*p**4 + 1/2*p**2 - 2/3*p**3 + v*p. Determine s so that c(s) = 0.
0, 1
Let r(i) be the second derivative of -16/105*i**6 + 8/147*i**7 - 6*i - 10/21*i**3 + 0 + 2/7*i**2 + 1/35*i**5 + 1/3*i**4. Let r(s) = 0. What is s?
-1, 1/2, 1
Let q(t) = t**2 - 3*t - 2. Let d = -2 + 2. Let f be (-2)/(-1) - (-2 + d). Let l(x) = x**2 - 2*x - 2. Let i(n) = f*l(n) - 3*q(n). Solve i(z) = 0.
-2, 1
Suppose -11/9*p**2 - 1/9*p**3 + 1/3*p**4 + 1/9*p**5 - 4/9 - 4/3*p = 0. Calculate p.
-2, -1, 2
Factor -2/3*b**3 + 0*b - 2/3*b**2 + 0.
-2*b**2*(b + 1)/3
Let x(a) be the first derivative of -a**3/3 + a**2 - a - 9. Factor x(l).
-(l - 1)**2
Let a be (-1 - -8)*6/21. Let k(s) = 6*s**2 - 6. Let w(x) = x**2 - 1. Let p(f) = k(f) - 5*w(f). Let z(n) = n - 1. Let h(t) = a*z(t) + 2*p(t). Factor h(v).
2*(v - 1)*(v + 2)
Let z be ((-10)/3)/((-8)/(-12)). Let j be (22/55)/((-4)/z). Factor 0 + 1/2*l**4 + 1/2*l - j*l**2 - 1/2*l**3.
l*(l - 1)**2*(l + 1)/2
Determine t so that -t**2 - 3*t**4 - t - t**4 - t**5 - 3*t**2 - 6*t**3 = 0.
-1, 0
Let c = -21 + 24. Let w(t) be the second derivative of 7/12*t**5 - 10/9*t**c + 4*t + 2/3*t**2 + 11/36*t**4 + 0. Factor w(i).
(i + 1)*(5*i - 2)*(7*i - 2)/3
Let w(o) be the third derivative of o**5/12 + 5*o**4/8 - 10*o**3/3 - 16*o**2. Factor w(x).
5*(x - 1)*(x + 4)
Suppose -2*n + 10 = 0, -n + 7 = -0*u - 2*u. Let f be (u + -5)*1/(-3). Factor g + 2*g - g**f - 2*g.
-g*(g - 1)
Let a(v) be the first derivative of 3*v**5/10 - v**3 + 3*v/2 - 10. Suppose a(o) = 0. Calculate o.
-1, 1
Let w(f) be the second derivative of -f**7/252 - f**6/180 + f**5/120 + f**4/72 + 15*f. Factor w(q).
-q**2*(q - 1)*(q + 1)**2/6
Let l(t) = t**3 + 2*t**2 - 3*t - 3. Let y be l(-3). Let k = 6 + y. Solve -162*q**2 - 8 + 40*q - k*q + 35*q = 0.
2/9
Let c(l) be the first derivative of -3*l**5/5 + 2*l**3 - 3*l + 14. Factor c(o).
-3*(o - 1)**2*(o + 1)**2
Suppose 0*k - 2*k = 0. Let r(s) be the first derivative of k*s + 1 - 1/3*s**3 - 1/2*s**2. What is h in r(h) = 0?
-1, 0
Let b = 24 - 16. Let u be 30*((-20)/(-12))/5. Factor -u*i - 3 - 2*i**3 - 1 - 4 + 4 - b*i**2.
-2*(i + 1)**2*(i + 2)
Suppose 9 - 3 = 3*g. Solve k**4 + 2*k**2 + 0*k**3 - k**3 + k - 6*k**2 + 3*k**g = 0 for k.
-1, 0, 1
Let v = 238 + -1189/5. Factor -v*j**3 + 0*j + 0 - 1/5*j**4 + 0*j**2.
-j**3*(j + 1)/5
Let v(b) be the first derivative of -b**4/16 - b**3/2 - 5*b**2/8 - 10. Solve v(d) = 0 for d.
-5, -1, 0
Determine a, given that -10/3*a - 14/9*a**5 + 4/9 - 100/9*a**3 + 20/3*a**4 + 80/9*a**2 = 0.
2/7, 1
Factor 1/2*r**5 + r**2 + 0 - 1/2*r + 0*r**3 - r**4.
r*(r - 1)**3*(r + 1)/2
What is f in 0*f + 16/7*f**2 + 18/7*f**3 + 2/7*f**4 + 0 = 0?
-8, -1, 0
Suppose -6*j**2 + 9*j**3 + 3/2*j - 6*j**4 + 0 + 3/2*j**5 = 0. What is j?
0, 1
Let t be 36/(-45)*(-7)/2. Suppose -t*s**2 - 8/5 + 32/5*s = 0. Calculate s.
2/7, 2
Let r(t) be the third derivative of t**8/23520 - t**7/1470 + t**6/280 + t**4/8 + 2*t**2. Let i(a) be the second derivative of r(a). Find h, given that i(h) = 0.
0, 3
Let h(j) be the first derivative of -j**6/75 - j**5/50 + j**4/15 - 5*j + 3. Let a(z) be the first derivative of h(z). Let a(s) = 0. Calculate s.
-2, 0, 1
Let r(o) be the first derivative of 7*o**3/3 + 5*o**2/2 - 7*o + 2. Let h(y) = 22*y**2 + 16*y - 22. Let w(a) = 5*h(a) - 16*r(a). Find s, given that w(s) = 0.
-1, 1
Let x(v) be the second derivative of v**5/190 + v**4/114 + 3*v. Solve x(w) = 0.
-1, 0
Let k = -259/3 + 87. Let d(c) be the second derivative of 0 - 3/20*c**5 - 2*c + k*c**3 + 1/30*c**6 + 0*c**4 + 0*c**2. Factor d(q).
q*(q - 2)**2*(q + 1)
Let f be (3 + -4*1)*-1. Let b(t) = t**2. Let x(o) = -o**3 - o**2 + o. Let m(w) = f*x(w) + b(w). Factor m(r).
-r*(r - 1)*(r + 1)
Let g(b) = b**2 + 13*b + 15. Let t be g(-12). Let z(r) be the first derivative of 0*r**t - 2 + 0*r - 1/2*r**2 + 1/4*r**4. Factor z(w).
w*(w - 1)*(w + 1)
Let i(c) = -c**2 - 4*c + 6. Let v be i(-6). Let s be v/21*(-1 + 0). Determine k, given that -s + 4/7*k - 2/7*k**2 = 0.
1
Let y(x) be the third derivative of x**6/16 - x**5/5 - x**4/4 - 9*x**2. Factor y(z).
3*z*(z - 2)*(5*z + 2)/2
Let p(w) be the second derivative of w**9/52920 - w**7/4410 + w**5/420 - w**4/12 - 4*w. Let a(r) be the third derivative of p(r). Factor a(k).
2*(k - 1)**2*(k + 1)**2/7
Solve 0*u + 2/9*u**4 + 0 + 0*u**2 - 2/9*u**3 = 0 for u.
0, 1
Solve -1/4*y - 1/4*y**2 + 1/2 = 0.
-2, 1
Let k(t) = t**4 + 4*t**3 + 4*t - 4. Let n(b) = 3*b**4 + 7*b**3 + 7*b - 7. Let g(f) = 7*k(f) - 4*n(f). Factor g(q).
-5*q**4
Let h be (0 - -4)*1*2/36. Let m(y) be the first derivative of 1 - h*y**4 + 2/9*y**2 - 2/15*y**5 + 2/27*y**3 + 0*y. Factor m(r).
-2*r*(r + 1)**2*(3*r - 2)/9
Let y = -88/3 + 30. What is p in -2/9 - y*p**2 + 2/9*p**3 + 2/3*p = 0?
1
Let h = 2 + 0. Solve -5*s**h - s**3 + 9*s**2 + 4*s + 2*s**3 = 0.
-2, 0
Let s(a) = 38*a - 73. Let x be s(2). Suppose -4/7*g**5 + 0*g - 6/7*g**4 - 2/7*g**x + 0*g**2 + 0 = 0. What is g?
-1, -1/2, 0
Let f be (-45)/(-42) - 24/42. Factor -3/2*n**2 + 1/2*n**3 + 3/2*n - f.
(n - 1)**3/2
Let z(p) be the third derivative of p**5/360 + p**4/48 - 6*p**2. Factor z(r).
r*(r + 3)/6
What is d in -5*d**2 + 35*d**3 - 40*d - 20 + 16*d**5 + 25*d**4 + 24*d**5 - 35*d**5 = 0?
-2, -1, 1
Let n be (3 - 15/9) + 5/30. Factor -1/2*g**2 - 1 - n*g.
-(g + 1)*(g + 2)/2
Let h be 75/(-120)*(-74)/5. Let q = h + -107/12. Factor q*u**3 - 1/3*u**2 + 0*u + 0.
u**2*(u - 1)/3
Let f(u) be the second derivative of u**5/40 + u**4/24 - u**3/3 - u**2 + 6*u. Suppose f(p) = 0. Calculate p.
-2, -1, 2
Suppose 4*a - 20 = -o, 4*a + 3*o - 28 = -0*a. Let t(f) be the second derivative of 0 - 2*f**2 - 8*f**a + f - 9/2*f**5 - 17/3*f**3. Determine l so that t(l) = 0.
-2/5, -1/3
Let b = 3 + 0. Let l(x) = -x**2 - 4*x + 7. Let g be l(-5). Determine v so that -v**g - v + b - 3 = 0.
-1, 0
Let s be 2*(-72)/120*10/(-3). Solve 2/3*g**s + 0*g + 0 + 0*g**3 - 2/3*g**2 = 0 for g.
-1, 0, 1
Let q(r) be the first derivative of r**4/48 - r**3/12 + 2*r + 5. Let v(j) be the first derivative of q(j). Let v(p) = 0. What is p?
0, 2
Let w(k) be the second derivative of -k**4/3 - 14*k**3/9 + 4*k**2 + 5*k. Factor w(t).
-4*(t + 3)*(3*t - 2)/3
Factor 3/7*j**4 + 0*j + 0 + 0*j**3 - 3/7*j**2.
3*j**2*(j - 1)*(j + 1)/7
Let f be 444/156 + 4/26. Suppose 6*o - 5*o = f. Factor -24/5*w**o + 9*w**4 - 5*w**5 + 4/5*w**2 + 0*w + 0.
-w**2*(w - 1)*(5*w - 2)**2/5
Let r(h) = h - 3. Let n be r(5). Let a be 40/15 + n/(-3). Factor a + 6*v**4 + 7*v - 3*v - 4*v**3 - 8*v**2 + 0*v.
2*(v - 1)**2*(v + 1)*(3*v + 1)
Suppose -3*o + 0*x + 2*x