+ 5*c**2 + 6*c + 3. Suppose -4*u + 6 = -18. Let q be r(u). Determine w so that w**4 + 0*w + 0 - 3/4*w**5 + 1/4*w**q - 1/2*w**2 = 0.
-2/3, 0, 1
Let u = 2 + 1. Let f(j) be the third derivative of 0*j**u + 0 + 0*j + 1/120*j**5 + 1/48*j**4 + j**2. Factor f(r).
r*(r + 1)/2
Let j(y) be the first derivative of 6/5*y**5 + 2*y**3 - 3/4*y**2 - 1/4*y**6 - 3 + 0*y - 9/4*y**4. Factor j(f).
-3*f*(f - 1)**4/2
Let r(p) be the first derivative of -16*p**6/39 - 16*p**5/13 - 25*p**4/26 + 10*p**3/39 + 5*p**2/13 - 2*p/13 + 9. Determine f so that r(f) = 0.
-1, 1/4
Suppose -r = 4, -2*q = r + r - 52. Suppose v = -4*v + q. Determine k so that -4*k**3 - 5*k**2 + v*k**3 + 3*k**2 = 0.
0, 1
Let d(g) = g**5 + 4*g**4 - 15*g**3 + 14*g**2 - 6*g - 2. Let x(h) = 2*h**5 + 3*h**4 - 16*h**3 + 15*h**2 - 7*h - 3. Let m(l) = 3*d(l) - 2*x(l). Factor m(s).
-s*(s - 2)**2*(s - 1)**2
Let -63/5*a**3 + 0 + 3*a**2 + 49/5*a**4 - 1/5*a = 0. Calculate a.
0, 1/7, 1
Solve 33*z**4 - 21*z**4 - 320*z**3 - 5*z**5 + 68*z**4 = 0.
0, 8
Suppose -5*q + 8*q + 111 = 0. Let j = 112/3 + q. Suppose j*n**2 - 1/3*n + 0 = 0. What is n?
0, 1
Let f be 3 - (77/(-4))/(-7). Let h(n) be the first derivative of -1/3*n**3 + n - 1/2*n**2 + f*n**4 + 1. Determine l so that h(l) = 0.
-1, 1
Let n(q) be the first derivative of 0*q**2 + 1 - q**4 - q**3 + 0*q - 1/5*q**5. Factor n(l).
-l**2*(l + 1)*(l + 3)
Factor -38/3*i**2 - 14/3*i**3 - 16/3*i + 8/3.
-2*(i + 1)*(i + 2)*(7*i - 2)/3
Factor -2/5*b + 1/5*b**2 - 3/5.
(b - 3)*(b + 1)/5
Let m(b) be the third derivative of -b**8/20160 + b**7/7560 + b**4/8 - 2*b**2. Let d(z) be the second derivative of m(z). Solve d(i) = 0 for i.
0, 1
Let z be ((-9)/(-2) - 5)/((-1)/6). Factor 0 + 0*a + 2/7*a**2 - 2/7*a**z.
-2*a**2*(a - 1)/7
Factor 9 + 9*r**3 + 21*r**2 + 15*r - 16 + 10.
3*(r + 1)**2*(3*r + 1)
Let 3*r**2 - 31*r + 0*r**2 + 11 + 46*r + 1 = 0. Calculate r.
-4, -1
Let j(t) be the second derivative of t**4/72 - t**3/12 + t**2/6 - 2*t. Factor j(q).
(q - 2)*(q - 1)/6
Let w = 7/90 - -113/90. Factor -2/3*z - 10/3*z**3 - 16/3*z**2 + w.
-2*(z + 1)**2*(5*z - 2)/3
Let b(i) be the third derivative of -1/40*i**6 + 0 - 1/2*i**3 + 8*i**2 - 1/35*i**7 + 3/20*i**5 + 1/8*i**4 + 0*i. Find r such that b(r) = 0.
-1, 1/2, 1
Let o(a) be the third derivative of a**6/15 + 17*a**5/30 - 4*a**4/3 - 5*a**3/3 - 9*a**2. Factor o(j).
2*(j - 1)*(j + 5)*(4*j + 1)
Solve 0*i + 0 + 0*i**2 - 3/5*i**4 + 3/5*i**3 = 0.
0, 1
Let n = -110/3 + 37. Let m(s) be the second derivative of 0*s**5 - 2*s - n*s**2 + 0 + 0*s**3 + 1/9*s**4 - 1/45*s**6. Factor m(a).
-2*(a - 1)**2*(a + 1)**2/3
Factor 4/3*z**3 + 0 + z**2 + 1/3*z**4 + 0*z.
z**2*(z + 1)*(z + 3)/3
Let j = 2 - -2. Let x be 1/(-2) + (-9)/(-12). Factor -x*b**3 + b**j + 0*b**2 + 0*b + 0.
b**3*(4*b - 1)/4
Let h be (1/6)/((-3)/(-1380)). Let n = h + -76. Determine t so that -2/3*t**3 + 2/3 - n*t**2 + 2/3*t = 0.
-1, 1
Let x = 185521/120 + -1546. Let z(k) be the third derivative of 0*k + x*k**5 + 0 + 2*k**2 - 1/24*k**4 + 1/12*k**3. Factor z(b).
(b - 1)**2/2
Let p(j) be the first derivative of 4 + 1/3*j**3 + j + j**2. Factor p(q).
(q + 1)**2
Let q be (-384)/(-60) - 2/5. Suppose -6 - q = -3*r. What is h in 13/4*h**2 + 1/4*h**r - 3*h - 3/2*h**3 + 1 = 0?
1, 2
Let h(y) = -3*y**2. Let r(x) = 10*x**2 + 0*x + 4*x - 3*x**2 + 3. Let b(s) = -6*h(s) - 3*r(s). Factor b(t).
-3*(t + 1)*(t + 3)
Factor 0 + 1/3*g - 2/3*g**4 + 0*g**3 + 2/3*g**2 - 1/3*g**5.
-g*(g - 1)*(g + 1)**3/3
Let f(g) = g**5 - g**3 + g. Suppose y + 10 = -4*y. Let z(w) = 10*w**5 + 2*w**4 - 8*w**3 + 9*w. Let b(n) = y*z(n) + 18*f(n). Suppose b(q) = 0. Calculate q.
-1, 0
Suppose 0 = -16*j + 11*j. Let n(u) be the second derivative of 1/48*u**4 - 1/4*u**2 + j - 2*u - 1/24*u**3. Solve n(i) = 0 for i.
-1, 2
Suppose -h = 3*h - 3*o + 7, 0 = -2*h + 5*o - 21. Let u(x) = x**5 - x**3. Let i(g) = -4*g**5 - 4*g**4. Let y(d) = h*u(d) + i(d). Factor y(a).
-2*a**3*(a + 1)**2
Let r = 499 + -29939/60. Let d(j) be the third derivative of -1/600*j**6 + 0 - j**2 + r*j**4 + 0*j**3 - 1/300*j**5 + 0*j. Find x such that d(x) = 0.
-2, 0, 1
Let q = 112 + -558/5. Factor 6/5*a - q + 2/5*a**2 - 6/5*a**3.
-2*(a - 1)*(a + 1)*(3*a - 1)/5
Suppose f - 7 = 2*g - 4*g, -4*f + 4 = 0. Let a(t) be the second derivative of -1/6*t**4 - g*t + 0*t**3 + 0 + 0*t**2 + 1/10*t**5. Find d, given that a(d) = 0.
0, 1
Let w(y) be the first derivative of 2*y**5/45 + 5*y**4/18 + 16*y**3/27 + 4*y**2/9 - 20. Let w(z) = 0. What is z?
-2, -1, 0
Let x be 19/(-4) + (-2)/8. Let c = x + 10. Factor -2*w**2 + 2*w + 1 - 2 + c.
-2*(w - 2)*(w + 1)
Let j(q) be the third derivative of 1/270*q**6 - 1/135*q**5 + 1/945*q**7 + 0 - 1/108*q**4 + 2*q**2 - 1/1512*q**8 + 1/27*q**3 + 0*q. Let j(v) = 0. Calculate v.
-1, 1
Let p be (-1)/(-4) + (-1)/4. Let t = 4 - p. Factor -1/3*w**3 + 1/3*w**2 + 0 + 1/3*w - 1/3*w**t.
-w*(w - 1)*(w + 1)**2/3
Let x(k) = 14*k + 72. Let z be x(-5). What is n in 4/5*n**z + 1/5*n + 3/5*n**3 + 0 = 0?
-1, -1/3, 0
Suppose -2 = 5*l - 12. What is j in -4 - 3*j + 4 - 3*j**3 + 6*j**l = 0?
0, 1
Let t(z) = -z**2 - z + 1. Let f(n) = 4 + 7*n - 9*n**2 + 2*n**3 - 13*n - 1 - 5*n**3. Let a(j) = f(j) - 3*t(j). Find d such that a(d) = 0.
-1, 0
Factor 0*k + 0 + 3/4*k**3 + 9/4*k**2.
3*k**2*(k + 3)/4
Let s be (-27)/216 + 3/24. Let -1/5*a**2 + s*a + 0 + 1/5*a**3 = 0. Calculate a.
0, 1
Let l = 12 + -8. Suppose 2*t + 4 = -q + 14, -3*t - l*q + 25 = 0. Factor -3*c - 4*c**t + 2*c**3 + 2*c + 3*c**3.
c*(c - 1)*(c + 1)
Let c(f) be the first derivative of -f**5/15 + 2*f**3/3 - 4*f**2/3 + f - 10. Factor c(m).
-(m - 1)**3*(m + 3)/3
Let g = 127 - 124. Factor -1/3*p**2 + 2*p - g.
-(p - 3)**2/3
Let w(v) be the third derivative of -7*v**7/120 - 7*v**6/160 + v**5/10 - v**4/24 - 5*v**2. Find s, given that w(s) = 0.
-1, 0, 2/7
Let f(l) be the second derivative of l - 2/3*l**4 + 7/5*l**5 + 0*l**3 + 0*l**2 + 0. Factor f(z).
4*z**2*(7*z - 2)
Let d(f) = -f**2 + 7*f + 2. Let v be d(7). Factor 4/3 + 2/3*r**v - 2*r.
2*(r - 2)*(r - 1)/3
Factor -9/7*a - 3/7*a**2 + 9/7*a**3 + 3/7*a**4 + 0.
3*a*(a - 1)*(a + 1)*(a + 3)/7
Let c(x) = -7*x**3 - 9. Let m(t) = 3*t**3 + 4. Suppose -2*o = -2 + 10. Let h(f) = o*c(f) - 9*m(f). Let h(p) = 0. What is p?
0
Suppose -l + 3 = -0*l. Solve -9 + 12*s - 11*s + 2*s**2 - 7*s - l*s**2 = 0.
-3
Let y(b) be the first derivative of 1/5*b**3 - 2 - 6/5*b + 3/10*b**2. Determine h, given that y(h) = 0.
-2, 1
Factor 2/17 + 8/17*v**2 - 10/17*v.
2*(v - 1)*(4*v - 1)/17
Let i be (-1 + 1)*((-3)/(-1) - 2). Factor 0 + i*h**3 + 2/5*h**4 + 1/5*h**5 - 2/5*h**2 - 1/5*h.
h*(h - 1)*(h + 1)**3/5
Let t(c) be the first derivative of -c**6/1260 + c**5/70 - 3*c**4/28 + 2*c**3/3 - 1. Let p(v) be the third derivative of t(v). Suppose p(r) = 0. Calculate r.
3
Let j = 195 + -195. Find c, given that -2/3*c**2 + j + 2/3*c = 0.
0, 1
Suppose 4*p - j - 11 = 0, -3 + 15 = -4*j. Suppose p*g = -0*g. Factor 0*k + g - 1/2*k**3 + 0*k**2.
-k**3/2
Let w = 7/36 + 17/36. Suppose -2/3*t**3 + w*t**2 - 2/3 + 2/3*t = 0. What is t?
-1, 1
Let c(w) be the second derivative of -w**4/16 + w**3/4 - 3*w**2/8 - 6*w. Factor c(i).
-3*(i - 1)**2/4
Let v be (-6)/1 + (-495)/(-75). Factor 0 + 3/5*o**2 + 1/5*o**4 - 1/5*o - v*o**3.
o*(o - 1)**3/5
Let v = 48 + -48. Suppose 2*l - 2*d - 1 + 3 = v, 3*l + d = 13. Factor -2/3*o**2 + 0 + 4/9*o + 2/9*o**l.
2*o*(o - 2)*(o - 1)/9
Suppose 2*c - 1 = 3. Find s such that -4*s**2 - c*s - 5*s**3 - 6*s**3 + 11*s**3 + 4*s**4 + 2*s**5 = 0.
-1, 0, 1
Let x(d) = 1 + 0*d + d + 4 - 2. Let g be x(-2). Factor -7*f**5 - 2*f**2 + 12*f**4 + 1 - 3*f**3 - g.
-f**2*(f - 1)**2*(7*f + 2)
Suppose -8 + 35 = 4*q + z, 2*z - 30 = -4*q. Let o be 0 + 0 + 4/q. Determine d so that 2/3*d**4 - 2/3*d**2 - o*d + 0 + 2/3*d**3 = 0.
-1, 0, 1
Let t(f) be the second derivative of f**9/13608 + f**8/7560 - f**7/3780 - f**6/1620 - f**3/2 + 4*f. Let u(j) be the second derivative of t(j). Factor u(h).
2*h**2*(h - 1)*(h + 1)**2/9
Let q = -4/49 + 57/98. Let o(t) be the first derivative of 2 + t**3 + 1/10*t**5 + q*t + 1/2*t**4 + t**2. Factor o(x).
(x + 1)**4/2
Factor 1/4*t**2 + 1 - 5/4*t.
(t - 4)*(t - 1)/4
Let j = 25/46 + 1765/138. Factor -45/2*f**4 + 0*f**3 + j*f - 27/2*f**5 + 20*f**2 + 8/3.
-(f - 1)*(3*f + 2)**4/6
Let h = -17 - -26. Suppose -3*p = -3*c - 9, 6*p - 3*p + c - h = 0. Factor 3*z**p - 2*z**4 - z**2 - z**2 - 7*z**3.
-2*z**2*(z + 1)**2
Suppose 2*o - 6*m = -4*m + 6, 0 = -5*o - m +