+ 4/7 - 24/7*q**4 + 8/7*q**3 + 10/7*q**5 = 0. Calculate q.
-1, 2/5, 1
Let c(d) be the first derivative of 2*d**5/5 + d**4 + 38. Let c(p) = 0. Calculate p.
-2, 0
Let q(a) = 41*a**3 + 49*a**2 + 8*a - 5. Let o(p) = -61*p**3 - 73*p**2 - 12*p + 7. Let j(k) = 5*o(k) + 7*q(k). Solve j(t) = 0 for t.
-1, -2/9, 0
Let r be 4939/(-935) - -6 - (-4)/(-34). Factor -3/5*k**2 - 3/5*k**3 + r*k**4 + 0 + 3/5*k.
3*k*(k - 1)**2*(k + 1)/5
Let m(r) be the third derivative of -r**8/90720 + r**7/22680 + r**5/60 - 8*r**2. Let l(d) be the third derivative of m(d). Factor l(c).
-2*c*(c - 1)/9
Suppose 4*c + 0*c + 16 = 0. Let q be ((-12)/(-8))/((-15)/c). Solve q*f**2 + 0 - 4/5*f**3 + 2/5*f = 0 for f.
-1/2, 0, 1
Let z(s) be the second derivative of 0 + 0*s**3 - 1/21*s**4 + 0*s**2 + s - 1/210*s**6 + 1/35*s**5. Factor z(x).
-x**2*(x - 2)**2/7
Let q(i) be the third derivative of 1/210*i**5 - 1/420*i**6 + 1/84*i**4 + 0*i**3 + 0*i - 1/735*i**7 + i**2 + 0. Factor q(y).
-2*y*(y - 1)*(y + 1)**2/7
Let m(b) be the third derivative of b**6/50 - 9*b**5/100 - b**4/4 + 3*b**3/10 - 4*b**2. Factor m(i).
3*(i - 3)*(i + 1)*(4*i - 1)/5
Factor 44*v**4 - 29 - 6*v + 29 - 2*v - 96*v**3 + 60*v**2.
4*v*(v - 1)**2*(11*v - 2)
Let g(k) be the third derivative of k**9/60480 - k**8/13440 + k**6/1440 - k**5/480 - k**4/12 - 3*k**2. Let w(p) be the second derivative of g(p). Factor w(q).
(q - 1)**3*(q + 1)/4
Suppose -5*i - s = 5, 2*i = -3*s - 2*s - 25. Determine b so that i + 2*b**2 - 2/3*b = 0.
0, 1/3
Let z = 77 + -77. Let y be 1 - 3 - (0 + -4). Factor 1/3*w**y - 1/3 + z*w.
(w - 1)*(w + 1)/3
Let p(q) = 14*q**2 - 12*q - 10. Let a(z) = 2*z - 2. Let r be a(5). Let t(g) = 1 + g + 0*g + 0 - g**3. Let h(c) = r*t(c) + p(c). Factor h(f).
-2*(f - 1)**2*(4*f + 1)
Let t be (-73)/(-36) - (12 + -10). Let u(o) be the second derivative of t*o**4 - 1/9*o**3 - 3*o + 1/6*o**2 + 0. What is r in u(r) = 0?
1
Let x be (-3 + 2 - 0)*-5. Let c be (x/2)/(2/4). Find r, given that 3*r**2 - 1 - 6*r + c*r**3 + 5 - 6*r = 0.
-2, 2/5, 1
Factor -2/3 - 5/3*o**3 + 2/3*o**2 + 5/3*o.
-(o - 1)*(o + 1)*(5*o - 2)/3
Find q, given that 6*q**2 + 3/2*q**3 - 3/2*q - 6 = 0.
-4, -1, 1
Let w(m) be the second derivative of 0*m**2 + 1/8*m**4 + 2*m + 0*m**3 + 0 + 3/40*m**5. Determine v so that w(v) = 0.
-1, 0
Let g(a) = -a**3 + 13*a**2 - 12*a. Let k be g(12). Find u such that 2/11*u**2 + 0 + k*u = 0.
0
Let b(s) = 2*s**4 - s**2 + s + 0*s**2 - 3*s**2 + 2*s**3 + 3*s - 4. Let h(k) = -2*k**4 - 2*k**3 + 5*k**2 - 5*k + 5. Let l(i) = 5*b(i) + 4*h(i). Factor l(x).
2*x**3*(x + 1)
Let z(t) be the third derivative of t**7/420 + t**6/240 - t**5/240 - t**3/3 - 2*t**2. Let q(h) be the first derivative of z(h). Factor q(n).
n*(n + 1)*(4*n - 1)/2
Let v(d) = -d**4 - d**3 - d**2 - d - 1. Let l(a) = -3*a**4 + 5*a**3 + 7*a**2 + 3*a + 3. Let w = 19 + -21. Let j(m) = w*l(m) - 6*v(m). Factor j(f).
4*f**2*(f - 1)*(3*f + 2)
Let s(d) be the third derivative of -1/720*d**6 + 0 + 1/2*d**3 + 0*d + 1/48*d**4 + d**2 + 0*d**5. Let b(p) be the first derivative of s(p). Factor b(q).
-(q - 1)*(q + 1)/2
Determine j, given that j**3 - 5*j - 4*j**2 + 2*j**2 + 0*j**2 + 3 + 3 = 0.
-2, 1, 3
Let r = -4 - -4. Factor 4*v**2 - 2 - 4*v**2 + v**2 + v + r*v.
(v - 1)*(v + 2)
Factor 0*c**4 - 3/7*c**3 + 3/7*c**5 + 0*c**2 + 0*c + 0.
3*c**3*(c - 1)*(c + 1)/7
Factor 1/2*a**3 + 2*a**2 + 3/2*a + 0.
a*(a + 1)*(a + 3)/2
Let i(u) be the second derivative of -u**4/24 - u**3/3 - u**2 + 5*u. Solve i(c) = 0.
-2
Suppose -4*t + 4*w + 14 + 14 = 0, 0 = -3*w - 6. Suppose -2*d + t*d + 9 = k, -2*k - 6 = 2*d. Factor 0*s + k + 9/4*s**4 - 3/4*s**5 + 3/4*s**2 - 9/4*s**3.
-3*s**2*(s - 1)**3/4
Suppose 3*m - 13 = -4. Let n = m + 0. Let 3*o**2 - n*o**2 + o**2 + o + 0*o**2 = 0. What is o?
-1, 0
Let k(r) = 2*r**2 - 12*r + 4. Let z(l) = 2*l**2 - 10*l + 4. Let x(h) = -2*k(h) + 3*z(h). Suppose x(n) = 0. Calculate n.
1, 2
Let o(a) = -a**2 - 6*a + 18. Let h be o(-8). Let n(i) be the third derivative of 1/84*i**4 + h*i**2 + 1/210*i**5 + 0*i**3 + 0 + 0*i. Factor n(r).
2*r*(r + 1)/7
Let b(a) be the first derivative of -a**6/24 + a**5/10 - a**4/16 - 7. Suppose b(u) = 0. Calculate u.
0, 1
Let w = 237172/15 - 15839. Let t = -111/5 - w. Suppose -2/3 - 7/3*j**3 - t*j**2 - 11/3*j = 0. What is j?
-1, -2/7
Let r = -293741/6840 - -816/19. Let n(g) be the third derivative of 1/60*g**5 + 0*g**3 + 0*g + r*g**6 + 0 + g**2 + 1/36*g**4. Let n(v) = 0. Calculate v.
-2, -1, 0
Let r be (7/14)/(1/10). Let l(s) be the second derivative of 0 - 1/9*s**2 + 1/54*s**4 + s - 1/90*s**r + 1/27*s**3. Factor l(j).
-2*(j - 1)**2*(j + 1)/9
Let c(s) be the third derivative of 0*s**3 + 1/60*s**5 - 1/120*s**6 + 0*s**4 - 2*s**2 + 0 + 0*s. Suppose c(d) = 0. Calculate d.
0, 1
Let k be (-45)/(-20) + 2/(-8). Suppose -4*f**k - 3 + 4 + 0*f**2 - 8*f**3 + 2*f**5 + 3 + 6*f = 0. What is f?
-1, 1, 2
Let l(a) = a**2 + 6*a + 6. Let g be l(-6). Let r(u) = u**2. Let d(o) = -5*o**2 + 4*o + 4. Let n(x) = g*r(x) + d(x). Determine q so that n(q) = 0.
-2
Let t(l) be the first derivative of 3*l**5/20 - 11*l**4/16 + l**3/2 + 3*l**2/2 - 2*l + 22. Factor t(a).
(a - 2)**2*(a + 1)*(3*a - 2)/4
Let v(u) be the second derivative of 5*u + 0*u**2 + 1/6*u**3 + 0 - 1/12*u**4. Find x such that v(x) = 0.
0, 1
Let t be (-140)/(-42)*((-17)/5 - -4). Factor 1/3*d - 1/6 - 1/6*d**t.
-(d - 1)**2/6
Let o(m) be the third derivative of 0*m**3 - 1/315*m**7 - 1/72*m**4 + 0*m**6 + 1/90*m**5 + 0*m + 4*m**2 + 1/1008*m**8 + 0. Let o(f) = 0. Calculate f.
-1, 0, 1
Let d be (((-27)/(-21))/1 - 1)*2. What is m in -2/7*m**4 + d*m**3 - 2/7 + 4/7*m**2 - 2/7*m**5 - 2/7*m = 0?
-1, 1
Suppose -4*i + 5 = k, 18 = 3*i + k - 5*k. Let u be i/5 - 96/(-10). Factor 8 + p**3 + u - 9*p**2 + 2*p**3 - 6.
3*(p - 2)**2*(p + 1)
Let z(y) = y**2 - y - 3. Let p(s) = s**2 - 2*s - 3. Let d(o) = 3*p(o) - 4*z(o). Factor d(h).
-(h - 1)*(h + 3)
Let l = 195/2 - 97. Factor -3/2*g**2 + 1/2*g**3 + 3/2*g - l.
(g - 1)**3/2
Let i(k) = k**2 - k. Let j(g) = 3*g**2. Let x be (-19)/5 - 2/10. Let y(z) = x*i(z) + 2*j(z). Factor y(r).
2*r*(r + 2)
Let h(g) be the first derivative of 0*g**2 + 6 + 3/28*g**4 - 2/7*g**3 + 0*g. Factor h(y).
3*y**2*(y - 2)/7
Let p(v) = 16*v**3 + 17*v**2 - 4*v - 5. Let f(i) = -48*i**3 - 50*i**2 + 12*i + 14. Let n(y) = -5*f(y) - 14*p(y). Factor n(s).
4*s*(s + 1)*(4*s - 1)
Let r(d) be the second derivative of -d**6/1260 - d**5/420 - d**3/3 - 5*d. Let p(w) be the second derivative of r(w). Let p(t) = 0. Calculate t.
-1, 0
Let i(b) be the third derivative of b**7/105 + b**6/60 - b**5/10 - 5*b**4/12 - 2*b**3/3 - 5*b**2 + 2. Determine c so that i(c) = 0.
-1, 2
Let f = 7 - 7. Factor -2*a + f*a - 4*a - 2*a**2.
-2*a*(a + 3)
Let d(p) = 3*p**3 + 2*p**2 + 2*p + 2. Let c(s) = 7*s**3 + 5*s**2 + 5*s + 5. Let i(n) = -2*c(n) + 5*d(n). Factor i(w).
w**3
Let z(j) = -j**3 - 7*j**2 + 7*j - 4. Let v be z(-8). Suppose v*c + c - 15 = 0. Factor -2 + 2*l + 2*l**2 - 3*l**3 - 4*l**c + 5*l**3.
-2*(l - 1)**2*(l + 1)
Let q(s) be the third derivative of -s**5/12 + 5*s**4/6 - 10*s**3/3 + 14*s**2. Determine j so that q(j) = 0.
2
Let r(v) be the first derivative of -v**4/6 + v**3/3 - 3*v + 1. Let i(d) be the first derivative of r(d). Factor i(k).
-2*k*(k - 1)
Let l = -42 + 44. Let 3*z - 13/4*z**l - 1 + 3/2*z**3 - 1/4*z**4 = 0. Calculate z.
1, 2
Suppose 2*n + 12 = -4*j, 6 = -2*j - 4. Suppose -6 = -k - n. Determine y, given that -6/5*y**3 - 2/5*y**4 - 2/5*y - 6/5*y**k + 0 = 0.
-1, 0
Let t(s) = 19*s**2 + 21*s + 7. Let j(o) = 9*o**2 + 10*o + 3. Let r = 22 - 27. Let v(w) = r*j(w) + 2*t(w). Factor v(h).
-(h + 1)*(7*h + 1)
Let z(a) be the first derivative of -2 + 0*a + 1/12*a**3 + 0*a**2. Find d such that z(d) = 0.
0
Factor 5 + 64*b**3 + 11 + 96*b + 2*b**5 - 1 + 18*b**4 + 112*b**2 + 17.
2*(b + 1)*(b + 2)**4
Let h be 422/(-21)*-3*1. Let c = h + -60. Factor -c*g**3 - 2/7 + 2/7*g**2 + 2/7*g.
-2*(g - 1)**2*(g + 1)/7
Solve 5*u**2 - 9*u**2 + 36*u**5 + 17*u**4 + 28*u**3 - 77*u**4 = 0 for u.
0, 1/3, 1
Let o = 1002677/1148840 - 101/2611. Let a = o - 3/88. Suppose 0 - 2/5*c**2 - a*c = 0. Calculate c.
-2, 0
Suppose -13*j**3 + 104*j**2 + 12*j**4 + j**5 - 2*j**5 - 98*j**2 - 3*j**5 - j = 0. What is j?
0, 1/2, 1
Suppose 0 = -0*a + 3*a + 3. Let v = 3 + a. Solve 2*r**v + 4*r**4 + r**3 + r**2 - 7*r**2 - r = 0 for r.
-1, -1/4, 0, 1
Let s(l) be the third derivative of l**5/570 - l**4/114 + 8*l**2. Factor s(z).