 + 0 - w**t + 2*w + 4 - w**4 = 0. What is w?
-2, -1, 1
Let k(r) be the second derivative of r**4/6 + 2*r**3/3 - 3*r**2 - 3*r. Factor k(f).
2*(f - 1)*(f + 3)
Let m(j) be the second derivative of 0 + 1/40*j**5 + 3*j + 0*j**2 + 1/24*j**4 - 1/60*j**6 - 1/12*j**3. Factor m(q).
-q*(q - 1)**2*(q + 1)/2
Let g = 4/813 + 3224/5691. Factor -g*t + 4/7 - 8/7*t**2.
-4*(t + 1)*(2*t - 1)/7
Let g = 16741/280 - 418/7. Let d(b) be the second derivative of 0 + 0*b**2 - 1/8*b**4 - 1/60*b**6 + g*b**5 - 3*b + 1/12*b**3. Factor d(s).
-s*(s - 1)**3/2
What is z in 4/3 - 20/3*z + 3*z**2 = 0?
2/9, 2
Determine v, given that -7/4*v**4 - 1 - 43/4*v**2 + 6*v + 15/2*v**3 = 0.
2/7, 1, 2
Find r such that 0*r - 5/2*r**4 + r**2 + 0 + 3/2*r**3 = 0.
-2/5, 0, 1
Factor -2*h**2 + 2*h**3 - 15 + 15.
2*h**2*(h - 1)
Factor -1/6 + 1/3*v - 1/6*v**2.
-(v - 1)**2/6
Let x = 11 + -11. Suppose -5*b = -x*b. Solve 0*r - 1/3*r**4 + b*r**2 + 0 + 0*r**3 + 1/3*r**5 = 0.
0, 1
Let j = 17 - 16. Let v be 355/25 + j + 2. Suppose v*c**2 - 412/5*c**3 + 24/5*c - 40*c**5 - 8/5 + 102*c**4 = 0. Calculate c.
-1/4, 2/5, 1
Let d(q) be the first derivative of -4*q**5/5 + 15. Determine z so that d(z) = 0.
0
Let n(d) be the first derivative of -3/4*d**2 + 2 + 0*d - 1/2*d**3. Factor n(a).
-3*a*(a + 1)/2
Suppose -3*h - 3*q = 2*h, h + 3*q + 12 = 0. Let p be 0/(6/(-4) + 21/(-14)). Suppose 3/4*v**h + p*v - 1/2*v**2 + 0 = 0. What is v?
0, 2/3
Let r(m) be the first derivative of -3/7*m**2 + 4 - 4/21*m**3 + 4/7*m. Find p such that r(p) = 0.
-2, 1/2
Let p(r) = 12*r**2 + 72*r + 116. Let q(m) = 8*m**2 + 48*m + 77. Let w(f) = 5*p(f) - 8*q(f). Factor w(n).
-4*(n + 3)**2
Let x(l) be the third derivative of l**5/15 - l**4/6 - 4*l**3/3 - 3*l**2. What is u in x(u) = 0?
-1, 2
Let b(p) = -p**2 + 9*p + 1. Let r be b(7). Factor 3*t**4 - r*t**3 + 11*t**3 - 4*t**2 + t**4 + 4*t.
4*t*(t - 1)**2*(t + 1)
Let 0 + 6/5*f - 2*f**2 + 2/5*f**4 + 2/5*f**3 = 0. Calculate f.
-3, 0, 1
Let d(a) = -6*a**2 + 153*a + 189. Let s(p) = -2*p - 9 - 7*p - 18 - 13*p + p**2. Let b(l) = 4*d(l) + 27*s(l). Let b(x) = 0. Calculate x.
-3
Let w be (1/(-3))/((-1)/3). Let c = w + 1. Factor 4*d**3 - d**2 - 2*d - d**3 - 9*d**c - d**3 + 6*d**4 + 4.
2*(d - 1)*(d + 1)**2*(3*d - 2)
Let -3*n**5 - 24*n**2 + 18*n**3 + 9*n + 4*n**5 - 4*n**5 = 0. What is n?
-3, 0, 1
Let p(d) be the third derivative of 1/30*d**6 + 0*d**3 - 1/105*d**7 + 1/30*d**5 + 0 - 7*d**2 - 1/6*d**4 + 0*d. Let p(s) = 0. Calculate s.
-1, 0, 1, 2
Let l = 39 - 35. Let p(i) be the second derivative of 0 + i - 1/24*i**l + 0*i**3 + 1/4*i**2. Factor p(h).
-(h - 1)*(h + 1)/2
Let b(l) be the first derivative of -l**6/1440 - l**5/480 + l**4/48 - l**3 + 1. Let c(m) be the third derivative of b(m). Let c(h) = 0. Calculate h.
-2, 1
Let x(f) = -f**2 + 1. Let d(j) = 2*j**2 + j - 1. Suppose 3*l + 9 = 6*l. Let b(i) = l*x(i) + 2*d(i). Factor b(c).
(c + 1)**2
Let o(g) = -2*g**3 - 43*g**2 - 60*g + 3. Let s be o(-20). Factor -8/3*q**2 - 8/3*q + 0 - 2/3*q**s.
-2*q*(q + 2)**2/3
Suppose h + h - 2*v - 8 = 0, -h - 4*v = 6. Suppose -h*u + 3 + 1 = 0. Find p such that 2*p**u - p - p + 0*p = 0.
0, 1
Let i(t) = t**3 + t - 1. Let b(r) = 9*r**3 + 9*r**2 + 15*r - 3. Suppose 5 + 7 = 2*j. Let q(p) = j*i(p) - b(p). Factor q(s).
-3*(s + 1)**3
Let t = -3/32 - -11/32. Let s = -3 + 6. Determine o, given that 1/4*o**2 + 0 + 0*o + t*o**s = 0.
-1, 0
Let a = 109/2 + -54. Factor -3/2*p**3 + a*p + 0*p**2 + 0 - p**4.
-p*(p + 1)**2*(2*p - 1)/2
Let s be (-11)/(-33) + (-2)/42. Factor 0*a**2 + s*a**4 - 2/7*a**3 + 0*a + 0.
2*a**3*(a - 1)/7
Determine r so that 2/7 - 2/7*r**2 - 2/7*r**3 + 2/7*r = 0.
-1, 1
Let h = -41 + 25. Let z be (-1 + -2)/(12/h). Factor -5*y - 5*y - 4*y**3 - 1 - 9*y**2 + z*y.
-(y + 1)**2*(4*y + 1)
Let p(r) = r**2 + 2*r + 1. Let x be p(-3). Let f(j) be the third derivative of 5/12*j**x + 0*j + 2/3*j**3 - 1/10*j**5 + 0 - j**2. Solve f(q) = 0.
-1/3, 2
Let y(j) be the third derivative of -j**8/252 - j**7/45 - j**6/45 + 2*j**5/45 - 8*j**2. Let y(r) = 0. What is r?
-2, 0, 1/2
Let -5/2*h - 1/2*h**4 + 1/2*h**3 + 3/2*h**2 + 1 = 0. What is h?
-2, 1
Let k(p) be the third derivative of -p**6/30 + p**5/15 + p**4/3 - 8*p**2. Factor k(b).
-4*b*(b - 2)*(b + 1)
Let x(k) = -k**3 - 9*k**2 - 8*k + 2. Let q be x(-8). Suppose 0 = -6*t + 2*t + 2*v + 10, -3*v = 2*t - 9. Factor 2/7*d**t - 4/7 - 6/7*d + 0*d**q.
2*(d - 2)*(d + 1)**2/7
Let i be (-1 - -3 - -2) + -4. Factor 2/5*s**2 - 1/5*s**3 + i - 1/5*s.
-s*(s - 1)**2/5
Let d(s) be the second derivative of 5*s - 1/3*s**4 + 0*s**2 + 11/10*s**5 + 0*s**3 + 0 - 3/5*s**6. Factor d(p).
-2*p**2*(p - 1)*(9*p - 2)
Let f(b) be the first derivative of b**5/5 + 5*b**4/4 + 8*b**3/3 + 2*b**2 - 7. Factor f(u).
u*(u + 1)*(u + 2)**2
Let g = 15 + -10. Let q(w) be the first derivative of 2 - w**4 + 1/3*w**6 + 0*w**3 + w**2 + 0*w + 0*w**g. Suppose q(c) = 0. What is c?
-1, 0, 1
Factor -2/5*m**2 + 0 + 1/5*m**3 + 3/5*m**4 + 0*m.
m**2*(m + 1)*(3*m - 2)/5
Suppose g - 2*n = -7*n - 17, -4*g - 4*n - 4 = 0. Suppose -v + 6*i = i - 15, 4*v - 6 = 2*i. Factor 0 - 2/3*o + v*o**2 + 2/3*o**g.
2*o*(o - 1)*(o + 1)/3
Let c(h) be the first derivative of h**6/100 + 11*h**5/150 + h**4/5 + 4*h**3/15 - 3*h**2/2 - 6. Let a(f) be the second derivative of c(f). Solve a(m) = 0 for m.
-2, -1, -2/3
Let n(h) be the first derivative of h**3 + 9/4*h**2 + 1/8*h**4 + 6 + 0*h. Factor n(j).
j*(j + 3)**2/2
Let l(t) = -2*t**2 + 13*t. Let q(i) = i**2 - 14*i. Let w(n) = -4*l(n) - 3*q(n). Let w(o) = 0. Calculate o.
0, 2
Let u(n) be the first derivative of -n**6/10 + 7*n**5/60 + 7*n**4/24 - n**3/3 - n**2 + 2. Let m(b) be the second derivative of u(b). Factor m(h).
-(h - 1)*(3*h + 2)*(4*h - 1)
Let l(g) = g. Let i be l(1). Let k(h) = 2*h**2 + h - 1. Let v be k(i). Factor 0*p**4 + 3/2*p**3 - 1/2*p**2 - v*p**5 + 0 + 0*p.
-p**2*(p + 1)*(2*p - 1)**2/2
Let p be (-1)/1 - (-1 + -2). Suppose -2*j + 2*j**5 + 8*j**p + j + 12*j**3 + 8*j**4 + 4*j - j = 0. Calculate j.
-1, 0
Let v(a) be the second derivative of 5*a**4/12 + 25*a**3/6 - 15*a**2 - 22*a. What is m in v(m) = 0?
-6, 1
Suppose -f - 8 = -2*v, v - f - 5 + 2 = 0. Factor -7*k**2 + 2*k**4 - k**v - 2 - k**2 + 7*k + 7*k**3 - 5*k**3.
-(k - 1)**4*(k + 2)
Let q = -75/14 + 48/7. Factor 0 + q*o + 3/2*o**2.
3*o*(o + 1)/2
Let k(y) be the third derivative of -y**5/210 - y**4/84 + 4*y**2. Solve k(h) = 0 for h.
-1, 0
Suppose 0 = -4*u + 111 - 111. Factor u*q**3 + 0 + 2/9*q**2 - 2/9*q**4 + 0*q.
-2*q**2*(q - 1)*(q + 1)/9
Let w be ((-108)/28 + 3)/((-4)/14). Factor 4/3*m**2 - 2/9*m**w - 8/3*m + 16/9.
-2*(m - 2)**3/9
Factor 8*y**3 + 9*y**2 - 15*y**2 - 18*y + 3 - 7.
2*(y - 2)*(y + 1)*(4*y + 1)
Suppose -5*m + 2 + 8 = 0. Suppose -3*c = m*c - 10. Factor 3*q**c + 4*q**2 - 5*q**2.
2*q**2
Factor -3/7*a + 2/7 + 1/7*a**2.
(a - 2)*(a - 1)/7
Let c be 1089/132*(-16)/(-78). Factor -c*k + 4/13 - 14/13*k**3 + 32/13*k**2.
-2*(k - 1)**2*(7*k - 2)/13
Let n(d) = -1 + 5 - d - 5 - d**2. Let q(v) = -5*v**2 - 5*v - 8. Let b(w) = -6*n(w) + q(w). Factor b(a).
(a - 1)*(a + 2)
Factor -16/9*d**3 + 0*d + 0 - 8/9*d**2 + 10/9*d**4.
2*d**2*(d - 2)*(5*d + 2)/9
Let u(d) be the first derivative of -2*d**5/5 - 11*d**4/20 + 2*d**3/5 + d**2/2 - 2*d/5 - 8. What is o in u(o) = 0?
-1, 2/5, 1/2
Suppose -4*i - 3 = -3*s, -3*i - 3*s + 24 = -0*i. Factor 12*f + 4*f - 18*f - 2*f**i + 4*f**3.
2*f*(f - 1)*(f + 1)
Let p = 510/11 + -7019/154. Let r = -2/7 + p. What is u in 1/2 + r*u**2 + u = 0?
-1
Let y(u) be the second derivative of 0 + 13/5*u**5 + 4*u**4 + 1/7*u**7 - 6*u + 14/15*u**6 + 2*u**2 + 11/3*u**3. Find i such that y(i) = 0.
-1, -2/3
Find f, given that -319 - 4*f**2 + 319 + 8*f = 0.
0, 2
Let g = -8 + 4. Let o(d) = -2*d**2 - d + 3. Let r(y) = -2*y**2 + 4. Let k(n) = g*o(n) + 3*r(n). Factor k(p).
2*p*(p + 2)
Find p, given that 1/4*p - 1/4*p**3 - 1/2*p**2 + 1/2 = 0.
-2, -1, 1
Let o(z) be the third derivative of -z**7/90 - z**6/40 + z**5/15 + z**4/18 - 19*z**2. Factor o(q).
-q*(q - 1)*(q + 2)*(7*q + 2)/3
Let s(b) be the first derivative of -b**6/21 + 4*b**5/35 - b**4/14 + 5. Find t such that s(t) = 0.
0, 1
Let t be 0/(1*(2 + 0)). Factor 7*l**5 - l + 2*l**4 + 0*l - 6*l**5 + t*l**4 - 2*l**2.
l*(l - 1)*(l + 1)**3
Let n(u) be the third derivative of u**5/180 + u**4/36 + u**2. Determine i so that n(i) = 0.
-2, 0
Let c(x) be the second derivative of -x**6/270 + x**5/90 + x**4/108 - x**3/27 - 4*x. Determine g so th