 = 629 - 1255/2. Solve 0 - 1/2*p**4 + 1/2*p - 3/2*p**2 + q*p**3 = 0 for p.
0, 1
Suppose c + 2*u - 15 = 0, -1 = 3*c - 4*u + 4. Factor -5*b - 3*b**3 + 3*b + c*b**3.
2*b*(b - 1)*(b + 1)
Let a(y) be the first derivative of y**7/60 + 23*y**6/180 + y**5/3 + y**4/3 + 5*y**3/3 - 6. Let u(h) be the third derivative of a(h). Find j such that u(j) = 0.
-2, -1, -2/7
Let o(c) be the first derivative of -c**6/24 + c**4/8 - c**2/8 - 27. Find r such that o(r) = 0.
-1, 0, 1
Let s = -18309 - -6042013/330. Let o = s - -2/55. Suppose 1/6 + 5/6*x**4 - 5/6*x + 5/3*x**2 - 5/3*x**3 - o*x**5 = 0. Calculate x.
1
Let y be (-77)/7 + -1 + 3. Let u(c) = -c**2 - 9*c + 3. Let b be u(y). Let 0 + 1/3*m**b - 2/3*m**2 + 1/3*m = 0. What is m?
0, 1
Let y(o) be the third derivative of o**6/120 + 3*o**5/40 + o**4/4 - 7*o**3/6 - 4*o**2. Let a(i) be the first derivative of y(i). Factor a(n).
3*(n + 1)*(n + 2)
Suppose -6*m = -11*m + 10. Factor c**m - 5*c + 4 - 9*c**2 - c + 10*c**2.
2*(c - 2)*(c - 1)
Solve -2/11*q**2 - 2/11*q**3 + 0*q + 0 = 0.
-1, 0
Let l(w) be the third derivative of -w**6/360 + w**5/60 - w**4/24 - w**3/6 + 2*w**2. Let n(s) be the first derivative of l(s). Factor n(f).
-(f - 1)**2
Let f(o) be the second derivative of 0*o**3 + 0*o**2 - 1/12*o**4 + 0 - 2*o. Factor f(i).
-i**2
Let y(h) be the first derivative of h**4/8 + h**3/6 - h**2/2 + 3. Factor y(l).
l*(l - 1)*(l + 2)/2
Let w(f) be the first derivative of f**7/21 - f**5/5 + f**3/3 - f + 3. Let q(i) be the first derivative of w(i). Factor q(m).
2*m*(m - 1)**2*(m + 1)**2
Let f be (56/(-12) + 4)/((-2)/9). Suppose 1/6*y**f - 1/6*y + 0 + 0*y**2 = 0. Calculate y.
-1, 0, 1
Factor -2/15*h**2 - 8/15 + 8/15*h.
-2*(h - 2)**2/15
Suppose -10*u**2 - 20*u**3 + 8*u - 7*u**2 + 5*u**2 = 0. Calculate u.
-1, 0, 2/5
Let b(i) be the second derivative of -i**4/8 - i**3/2 - 4*i. Solve b(l) = 0.
-2, 0
Let i(a) = 2*a**3 + 10*a**2 - 18*a + 9. Let f(t) = -5*t**3 - 29*t**2 + 53*t - 27. Let q(z) = 3*f(z) + 8*i(z). Let q(y) = 0. Calculate y.
1, 3
Let v(y) = 6*y**2 - 7*y + 4. Suppose 4*x + 2*j + 22 = 0, 4*j + 2 + 2 = 0. Let l(i) = -11*i**2 + 13*i - 7. Let r(u) = x*v(u) - 3*l(u). Factor r(n).
(n - 1)*(3*n - 1)
Let g(y) = 7*y**4 - 5*y**2 - 2. Let m(r) = r**4 - r**3 + r - 1. Let u = 12 - 8. Let o(j) = u*m(j) - 2*g(j). Find w such that o(w) = 0.
-1, -2/5, 0, 1
Let z(o) be the third derivative of -o**8/30240 + o**7/3780 - o**6/1080 - o**5/10 + 3*o**2. Let g(k) be the third derivative of z(k). Factor g(u).
-2*(u - 1)**2/3
Let -7*k**3 - 2*k - 7*k**2 + 4*k**2 + k**3 + 3*k**4 + 8*k = 0. What is k?
-1, 0, 1, 2
Factor 2*x + 40*x + 4*x**3 - 32*x**2 - 14*x.
4*x*(x - 7)*(x - 1)
Let m = -6 - -8. Let f(u) be the third derivative of 0 + 0*u + 1/120*u**5 + 1/3*u**3 + 1/12*u**4 + m*u**2. Factor f(t).
(t + 2)**2/2
Factor -2/7*a**3 + 1/7*a**4 + 0*a + 0 - 3/7*a**2.
a**2*(a - 3)*(a + 1)/7
Let b = 13 + -8. Let i(o) be the first derivative of 11/5*o**2 + 86/15*o**3 + 73/10*o**4 + 16/15*o**6 + 112/25*o**b + 2/5*o - 2. Factor i(m).
2*(m + 1)**3*(4*m + 1)**2/5
Suppose 8 = 2*b - 0*b. Let u = 4 - b. Suppose 0*n**2 + u*n + 0 - 1/2*n**4 + 1/2*n**3 = 0. What is n?
0, 1
Suppose -z - 2*c = -10 + 3, z + 4*c - 17 = 0. Let m be (4/12)/((-2)/z). Solve j**4 + 0*j**3 - j**2 - m*j + 1/2*j**5 + 0 = 0 for j.
-1, 0, 1
Suppose -2*n = -6*n - 384. Let w = 165 + n. Solve -w*v + 24 - 18*v**2 - 12*v**4 + 69*v**3 - 9*v**4 - 15*v = 0 for v.
-1, 2/7, 2
Determine t so that -4/3*t**3 - 5/3*t**4 + 16/3 - 1/3*t**5 + 16/3*t**2 + 32/3*t = 0.
-2, -1, 2
Let x(g) be the first derivative of -5*g**6/2 - 21*g**5/5 + 39*g**4/4 + 31*g**3 + 30*g**2 + 12*g - 18. Determine r so that x(r) = 0.
-1, -2/5, 2
Let n = -270 + 272. Factor 3/4*s + 1/2 + 0*s**n - 1/4*s**3.
-(s - 2)*(s + 1)**2/4
Let d = 2/43 - 5/1032. Let w(f) be the third derivative of -1/60*f**5 + d*f**3 + 1/240*f**6 - 1/48*f**4 + 0 + 1/280*f**7 + 0*f - 2*f**2. Solve w(g) = 0.
-1, 1/3, 1
Let k(s) be the second derivative of 0 - 2/3*s**3 - 7/60*s**6 - 5/6*s**4 + s + 13/20*s**5 + 0*s**2. Find i such that k(i) = 0.
-2/7, 0, 2
Let -119*k + 42*k + 3*k**2 + 39*k + 41*k = 0. What is k?
-1, 0
Let k(r) = r**3 + 7*r**2 - 2*r - 10. Let q = 17 + -24. Let c be k(q). What is w in w**c - 3*w + 4*w - 2*w**2 - w + 1 = 0?
-1, 1
Factor 3/2*n - 3/2*n**3 + 3 - 3*n**2.
-3*(n - 1)*(n + 1)*(n + 2)/2
Let b(x) be the first derivative of -4*x**5/35 + 6*x**4/7 - 16*x**3/7 + 20*x**2/7 - 12*x/7 - 16. Factor b(r).
-4*(r - 3)*(r - 1)**3/7
Factor 5*f**5 + 10*f**4 - 15*f**3 - 2*f**2 - 7*f**2 - 13*f**4 - 2*f**5.
3*f**2*(f - 3)*(f + 1)**2
Let o = -1 + 4. Let 3*q**o - 6*q**3 + 3*q - 3*q**2 - 3*q = 0. Calculate q.
-1, 0
Let s(t) be the third derivative of 0*t**4 + 0*t + 1/3*t**3 + 0 + 7*t**2 - 1/30*t**5. Factor s(o).
-2*(o - 1)*(o + 1)
Let s(k) = k**3 - 5*k**2 + 5. Suppose 3*x + 6 = 0, 2*x - 7 = -m + 6*x. Let a(u) = -u**2 + 1. Suppose 4 + 16 = 4*p. Let l(i) = m*s(i) + p*a(i). Factor l(r).
-r**3
Determine g so that -1/3*g**3 + 0 + 2/3*g**2 - 1/3*g = 0.
0, 1
Let d(h) = h**4 - h**3. Let n(v) = -5*v**5 + 41*v**4 - 66*v**3 - 10*v**2 + 75*v - 35. Let i(o) = 4*d(o) + n(o). Factor i(q).
-5*(q - 7)*(q - 1)**3*(q + 1)
Let c(z) be the third derivative of -3/70*z**5 + 1/7*z**4 + 0 - 4/21*z**3 + 0*z + 2*z**2. Factor c(v).
-2*(3*v - 2)**2/7
Let j(r) = 4*r**5 + r**4 + 5. Let z(o) = 3*o**5 + o**4 + 4. Let w(u) = 4*j(u) - 5*z(u). Find d such that w(d) = 0.
0, 1
Factor 0 + 0*p - 2/13*p**2.
-2*p**2/13
Factor -1/5*x**2 + 8*x - 80.
-(x - 20)**2/5
Factor -94*g + 0*g**3 - 9*g**2 + 100*g + 3*g**3.
3*g*(g - 2)*(g - 1)
Let s(c) be the first derivative of -2*c**3/9 - c**2/3 + 6. Find h such that s(h) = 0.
-1, 0
Factor 2/3*w - 1 + 1/3*w**2.
(w - 1)*(w + 3)/3
Let a(g) be the third derivative of g**7/1680 - g**6/480 - 22*g**2. Factor a(d).
d**3*(d - 2)/8
Let h(c) be the second derivative of 3*c**5/70 - c**4/42 - c**3/7 + c**2/7 - c. Let h(l) = 0. Calculate l.
-1, 1/3, 1
Let q be -5*(64/20 + -4). Let z(c) be the second derivative of -1/18*c**6 + 1/42*c**7 - 1/6*c**2 - 3*c - 1/30*c**5 - 1/18*c**3 + 1/6*c**q + 0. Factor z(l).
(l - 1)**3*(l + 1)*(3*l + 1)/3
Let d(u) be the first derivative of -u**7/420 - u**6/60 - u**5/30 + 8*u**3/3 + 3. Let c(q) be the third derivative of d(q). Solve c(k) = 0 for k.
-2, -1, 0
Let y(h) be the second derivative of h**4/12 - h**3/3 + h**2/2 + 6*h. Factor y(u).
(u - 1)**2
Let m(p) be the third derivative of 0*p**3 + 0 + 1/735*p**7 + 0*p**4 - 1/210*p**6 + 0*p + 0*p**5 + 4*p**2 + 1/1176*p**8. Factor m(q).
2*q**3*(q - 1)*(q + 2)/7
Let p = -421/4 - -106. Suppose 3/4*w - p*w**2 + 1/4*w**3 - 1/4 = 0. Calculate w.
1
Let t = 2 + 0. Let o = t + 0. Factor -4*n + 2*n**o - 2*n**2 - 2*n**2.
-2*n*(n + 2)
Let m(i) be the second derivative of 0*i**2 - 1/100*i**5 - 1/30*i**3 + 0 + 1/30*i**4 - i. Factor m(u).
-u*(u - 1)**2/5
Let b(g) be the third derivative of 0 + 0*g + 1/60*g**6 - 2/3*g**3 - 1/12*g**4 + 2*g**2 + 1/15*g**5. Factor b(a).
2*(a - 1)*(a + 1)*(a + 2)
Let f(p) be the second derivative of p**5/90 + 4*p**4/9 + 64*p**3/9 + 512*p**2/9 - 2*p - 5. Find k such that f(k) = 0.
-8
Let d(i) = -5*i + 2 + i**2 + 5*i - 6*i. Let j be d(6). Factor 2/5*s**4 + 0*s + 0 + 0*s**3 - 2/5*s**j.
2*s**2*(s - 1)*(s + 1)/5
Let z(k) be the first derivative of -k**7/140 + k**5/20 - k**3/4 + 2*k**2 - 4. Let t(q) be the second derivative of z(q). Let t(o) = 0. What is o?
-1, 1
Suppose -5*y = -x + 4*x - 19, 5*x + 3*y = 21. Let i = 3 - -3. Factor 9 - 4*g**2 - 8*g + 6*g**x - i*g**2 - 1.
2*(g - 2)*(g + 1)*(3*g - 2)
Let -8*j**2 + 5*j**2 - 3*j**2 - 15*j**5 + 24*j**4 - 3*j**3 = 0. Calculate j.
-2/5, 0, 1
Factor 0*i - 10/9*i**4 + 4/9*i**2 + 0 + 2/3*i**3.
-2*i**2*(i - 1)*(5*i + 2)/9
Let o(y) be the first derivative of y**6/51 + 2*y**5/17 + 3*y**4/17 - 8*y**3/51 - 8*y**2/17 + 17. Let o(i) = 0. Calculate i.
-2, 0, 1
Factor 10*p**2 + 7*p**2 - 2*p - 6*p**3 - 3*p**2 - 4*p**2 - 18*p**4.
-2*p*(p + 1)*(3*p - 1)**2
Let g(p) be the second derivative of 2/11*p**2 - 7/33*p**3 + 1/22*p**4 + 0 + 4*p. Factor g(h).
2*(h - 2)*(3*h - 1)/11
Let x(h) be the third derivative of h**2 + 1/60*h**5 - 1/210*h**7 + 1/12*h**4 - 1/60*h**6 + 0*h + 0*h**3 + 0. Suppose x(t) = 0. Calculate t.
-2, -1, 0, 1
Let v = 2 - 0. Factor -4 - 2 - 19*y**2 - 9*y**3 - 15*y - v*y**2 + 3.
-3*(y + 1)**2*(3*y + 1)
Let m be 25/10 + 3/(-6). Find o, given that 2*o + 0*o**2 - 2*o**4 + 2*o + 2*o**m