**4 + t + 3*t**2 + i*t**5 + 0*t**6 - 3/2*t**3 - 1/14*t**7 + 0. Solve p(j) = 0 for j.
-2, -1, 1
Let u be (6/(-4))/(9/18). Let b(t) = -3*t - 7. Let s be b(u). Factor -4*n + n**2 + 5*n - s*n**3 + 0*n**3.
-n*(n - 1)*(2*n + 1)
Let a(q) be the second derivative of -1/8*q**3 + 0*q**2 + 0 - q + 1/16*q**4. Factor a(k).
3*k*(k - 1)/4
Let n(k) = 5*k**4 + 29*k**3 - 35*k**2 - 33*k + 30. Let o(q) = 30*q**4 + 175*q**3 - 210*q**2 - 200*q + 180. Let j(m) = -25*n(m) + 4*o(m). What is v in j(v) = 0?
-6, -1, 1
Let x(j) be the first derivative of -147*j**5/5 + 1365*j**4/16 - 99*j**3/2 - 243*j**2/8 - 79. Find u such that x(u) = 0.
-1/4, 0, 9/7
Let n(x) be the first derivative of 6*x**2 - 2/3*x**6 + 4*x + 4 - 2*x**4 - 12/5*x**5 + 8/3*x**3. Solve n(o) = 0.
-1, 1
Let z(q) be the first derivative of -q**6/9 + 38*q**5/15 + q**4/6 - 38*q**3/9 - 88. Suppose z(t) = 0. Calculate t.
-1, 0, 1, 19
Let z(x) be the second derivative of x**6/1260 - x**5/84 + x**4/21 - 5*x**3/2 - 30*x. Let s(q) be the second derivative of z(q). Find b, given that s(b) = 0.
1, 4
Let 1/6*g**4 - g**2 + 4/3 + 2/3*g - 1/6*g**3 = 0. Calculate g.
-2, -1, 2
Determine j, given that 0 - 1/4*j**5 + 27/4*j**3 + 1/4*j**4 - 81/4*j**2 + 27/2*j = 0.
-6, 0, 1, 3
Determine c, given that -2/5*c**2 + 244/5*c - 7442/5 = 0.
61
Factor 6*l**2 - 27*l - 12*l**3 - 22*l**2 + 12*l + 1 + 12*l.
-(l + 1)*(2*l + 1)*(6*l - 1)
Let b(q) be the second derivative of 5*q**4 + 5/42*q**7 + 2*q - 20/3*q**3 + 0*q**2 - 1/2*q**6 + 13 - 1/2*q**5. What is t in b(t) = 0?
-2, 0, 1, 2
Let a(h) be the first derivative of 11 - 1/2*h - 49/6*h**3 + 7/2*h**2. Let a(b) = 0. What is b?
1/7
Suppose -18*i - 29*i + 3 = 3. Factor 5/2*r**2 + i*r - 5/2.
5*(r - 1)*(r + 1)/2
Let u(p) = -2*p**4 + 2*p**3 - 3*p**2 - 11*p - 1. Let o be 63/28*(-8)/(-6). Let l(m) = 3*m**4 - 2*m**3 + 3*m**2 + 12*m. Let t(w) = o*l(w) + 4*u(w). Factor t(c).
(c - 2)*(c + 1)**2*(c + 2)
Factor -16 - 4*v + 1/4*v**4 - 11/4*v**3 + 9*v**2.
(v - 4)**3*(v + 1)/4
Find n such that -3/2*n**3 - 3/2*n - 39/8*n**2 + 9/2 = 0.
-2, 3/4
Let v(n) = 3*n**2 - 4*n - 6. Let m be v(5). Let s be (-8)/28 - (-112)/m. Suppose 1/4*z**s - z + 1 = 0. Calculate z.
2
Let s be (-5 + 2)/((-5)/15). Let z(o) = o - 7. Let c be z(s). Factor -14*r + 2*r**3 + 12*r - 3*r**3 - 3*r**c.
-r*(r + 1)*(r + 2)
Let n = 0 - -2. Suppose 0 = -3*l - 5*o + 9, -l - 6*o + 3 = -3*o. Factor l*w**4 - 6*w**4 - 2*w + 9*w**n + 8*w.
-3*w*(w - 2)*(w + 1)**2
Let b = 3316 + -3314. Let l = 7 + -7. Solve 1/3*o + l + 0*o**4 + 1/3*o**5 + 0*o**b - 2/3*o**3 = 0 for o.
-1, 0, 1
Let z(m) = m**2 - 5*m + 16. Let i(d) = 3*d**2 - 10*d + 33. Let b(p) = 6*i(p) - 13*z(p). Solve b(c) = 0.
-2, 1
Let d = -20573/32 + 643. Let l(u) be the third derivative of -1/80*u**5 - 1/12*u**3 + d*u**4 + 0 - 1/120*u**6 + 0*u + 6*u**2. Let l(x) = 0. What is x?
-2, 1/4, 1
Let d(v) = -v + 1. Let y(g) = g**2 - g - 2. Let t(x) = 2*d(x) + y(x). Let i be t(3). Factor i*f**2 - 1/2*f**3 + 0 + 1/2*f.
-f*(f - 1)*(f + 1)/2
Let j be (-8)/8*(-30)/9. Factor 2*b - 4*b**2 - 1/3 - b**4 + j*b**3.
-(b - 1)**3*(3*b - 1)/3
Let i(r) be the third derivative of -1/12*r**5 + 0*r - 5/12*r**4 + 0 + 0*r**3 - 8*r**2. Find w, given that i(w) = 0.
-2, 0
Let n(b) be the first derivative of -1/12*b**4 + 0*b - 13 + 0*b**2 - 2/9*b**3. Factor n(v).
-v**2*(v + 2)/3
Let w(v) be the third derivative of -v**6/1200 + v**5/600 + v**4/60 - v**3/15 - 165*v**2. What is h in w(h) = 0?
-2, 1, 2
Let c be (-4 - (-1540)/147) + (-11)/((-385)/30). Factor -2/3*v**4 + c*v**3 + 54*v - 36 - 30*v**2.
-2*(v - 3)**3*(v - 2)/3
Let w(c) be the third derivative of -c**7/42 + 5*c**6/8 - 25*c**5/4 + 625*c**4/24 - 2*c**2 - 30. Find h, given that w(h) = 0.
0, 5
Factor 0 + 2/17*b**2 - 2/17*b**4 + 0*b**3 + 0*b.
-2*b**2*(b - 1)*(b + 1)/17
Factor 39*u**2 + 21/2*u**3 - 12*u + 0.
3*u*(u + 4)*(7*u - 2)/2
Let z(d) be the second derivative of 0*d**2 + 3*d + 0 + 1/6*d**3. Let q(v) = 4*v**2 - 12*v. Let f(u) = q(u) + 10*z(u). Factor f(n).
2*n*(2*n - 1)
Factor -2*q**2 - 2/3*q**3 + 2 + 2/3*q.
-2*(q - 1)*(q + 1)*(q + 3)/3
Let b(l) be the first derivative of l**6/2 + 43*l**5/15 - 19*l**4/12 - 43*l**3/9 + 5*l**2/3 - 27. Suppose b(a) = 0. Calculate a.
-5, -1, 0, 2/9, 1
Suppose 3*o - r - r = 42, 0 = 5*o - 5*r - 70. Let t be 10/o*5 + (1 - 4). Factor 8/7*j - 2/7*j**4 - t*j**3 - 8/7 + 6/7*j**2.
-2*(j - 1)**2*(j + 2)**2/7
Let r be 34/14 - 24/(-42). Find b, given that r + 25*b**2 + 3 + 20*b - 5 + 3 = 0.
-2/5
Let q(n) = 2*n**3 + 6*n**2 + 10*n + 6. Let r(l) = -2*l**3 - 5*l**2 - 10*l - 7. Let b = -28 - -25. Let y(p) = b*q(p) - 2*r(p). Determine s so that y(s) = 0.
-2, -1
Let r = -1098 + 5507/5. Let t(w) = w**3 + 2*w**2 + 2. Let u be t(0). Determine n, given that 6/5 - r*n + n**u = 0.
2/5, 3
Let r(j) be the third derivative of 4*j**7/525 + 7*j**6/300 + j**5/75 - j**4/60 - 207*j**2. Factor r(m).
2*m*(m + 1)**2*(4*m - 1)/5
Let f(z) be the first derivative of z**3/3 - 13*z**2/2 - 629. Factor f(m).
m*(m - 13)
Let h(k) = -3*k - 7. Let y be h(-4). Solve -y*a**3 - 3*a**4 + 0 - 42*a**5 + 3*a**2 + a + 0 + 46*a**5 = 0.
-1, -1/4, 0, 1
Suppose -5*y = -7 - 18. Suppose 29 - 37 = -2*d. Factor 6*u**3 - 2*u**y + 3*u**d - 3*u**5 + 2*u**5.
-3*u**3*(u - 2)*(u + 1)
Let z(w) = -11*w**3 + w**2 + 6*w. Let i(k) = 10*k**3 + 3*k**2 - 5*k. Let o(m) = -m**2. Let h(j) = -i(j) - 3*o(j). Let l(g) = 4*h(g) - 5*z(g). Factor l(u).
5*u*(u - 1)*(3*u + 2)
Let y(v) be the third derivative of 0 + 2/3*v**3 + 1/5*v**5 - 1/30*v**6 + 0*v + 11*v**2 - 1/2*v**4. Factor y(m).
-4*(m - 1)**3
Let n(b) = b**2 + 15*b + 2. Let f be n(-15). Let 99*j**2 - 19*j**f - 45*j**5 - 90*j**4 + 35*j**3 - 51*j + 71*j = 0. Calculate j.
-2, -2/3, -1/3, 0, 1
Let m(s) be the third derivative of -s**5/15 + 27*s**4/2 + 164*s**3/3 - 29*s**2 + 2. Factor m(l).
-4*(l - 82)*(l + 1)
Let x(h) be the first derivative of 1875/2*h + 15/2*h**4 + 75*h**3 + 3/10*h**5 + 16 + 375*h**2. Factor x(k).
3*(k + 5)**4/2
Let -29*l**4 - 27*l - 9*l**2 - 10*l**4 + 3*l**3 + 40*l**4 = 0. Calculate l.
-3, 0, 3
Solve -1/2*x**2 + 2 - 1/4*x**5 + 0*x**4 - 3*x + 7/4*x**3 = 0 for x.
-2, 1, 2
Let j(x) be the first derivative of 5/3*x**3 + 5*x - 9 + 5*x**2. Factor j(v).
5*(v + 1)**2
Let j(c) be the third derivative of c**6/1200 - 23*c**5/300 + 43*c**4/60 - 14*c**3/5 - 209*c**2. Factor j(b).
(b - 42)*(b - 2)**2/10
Suppose 0 = 2*a - 2, -4*z + 5*a + 69 = 2*a. Let n be (z - 18) + -2*2/(-14). Factor -n*t**2 - 4/7*t - 2/7.
-2*(t + 1)**2/7
Solve -58/9*d - 10/3 + 2/9*d**3 - 26/9*d**2 = 0.
-1, 15
Let n(r) be the first derivative of -r**8/420 + r**6/45 - r**4/6 + 2*r**3/3 + 3. Let b(t) be the third derivative of n(t). Factor b(m).
-4*(m - 1)**2*(m + 1)**2
Let v be (-52)/(-14) + 6/21. Suppose 77 = 5*q - v*b, 3*b + 28 = q - 2*b. Factor 13 - q - 2*k**3 + 3*k**2 + 3*k**3.
k**2*(k + 3)
Let f(q) be the first derivative of 34 - 1/9*q**2 + 4/9*q - 2/27*q**3. Factor f(x).
-2*(x - 1)*(x + 2)/9
Suppose 66*y = 55*y + 187. Suppose 4*t - 25 + y = 0. Factor 0*k - 12/7*k**4 + 24/7*k**3 + 0 - 16/7*k**t + 2/7*k**5.
2*k**2*(k - 2)**3/7
Let h(t) be the first derivative of -3/5*t**5 - 16 - 21/2*t**2 - 9*t**3 - 15/4*t**4 - 6*t. Factor h(p).
-3*(p + 1)**3*(p + 2)
Let w be 190/133 + ((-9)/21 - -1). Let j(z) be the second derivative of -4*z + 0 + 0*z**w - 1/70*z**5 + 0*z**3 + 0*z**4 - 1/105*z**6. Factor j(c).
-2*c**3*(c + 1)/7
Let s(g) = g**3 - 18*g**2 + 18*g - 10. Let q be s(17). Suppose q*z - 5*z - 4 = 0. Factor -10*n**z + 16*n + 0*n**2 - 8 + 0*n**2 + 2*n**3.
2*(n - 2)**2*(n - 1)
Let h(t) be the third derivative of t**7/462 + 79*t**6/1320 - 101*t**5/660 + 17*t**4/264 + 12*t**2 + 4. What is b in h(b) = 0?
-17, 0, 1/5, 1
Suppose -20*d = -15 + 29 - 14. Let 0 + 11/2*q**3 + d*q + 0*q**2 - 1/2*q**4 = 0. Calculate q.
0, 11
Let x(j) be the second derivative of 16*j - 1/4*j**5 + 0 + 5/42*j**7 - 5/12*j**4 + 0*j**3 + 1/6*j**6 + 0*j**2. Factor x(d).
5*d**2*(d - 1)*(d + 1)**2
Suppose 3*s - 9 = -4*v + 5*v, 3*s - 21 = -v. Let r = v + -3. Let r*c - 1/2*c**2 - 9/2 = 0. What is c?
3
Let q = 76/145 - -8/29. Let j be 2/(-1)*(-6)/4. Solve -19/5*y**2 + q + 4/5*y - 34/5*y**j - 3*y**4 = 0.
-1, -2/3, 2/5
Let s(i) be the third derivative of -1849*i**7/105 - 129*i**6/2 - 2197*i**5/30 - 15*i**4 - 4*i**3/3 - 104*i**2. Determine h, given that s(h) = 0.
-1, -2/43
Let f(w) = 7*w**4 + 5*w**3 - 14*w**2 - 7*w + 5. Let k(p) = -20*p**4 - 14*p**3 + 42*