*w*(w - 1)*(w + 1)
Factor 8*c**3 - 1/3 - 22/3*c**2 - 3*c**4 + 8/3*c.
-(c - 1)**2*(3*c - 1)**2/3
Let i(t) be the first derivative of -14*t**6/9 + 64*t**5/15 - 4*t**4/3 - 21. Solve i(p) = 0.
0, 2/7, 2
Suppose a - 10 = 5*m, 2*a = 4*m - m + 13. Let r(p) be the second derivative of 0*p**2 + 1/50*p**a - 1/15*p**4 + 1/15*p**3 + 0 + 4*p. Factor r(d).
2*d*(d - 1)**2/5
Factor 3*u**2 - 8*u**3 + 10*u**2 - 9*u**2 - 4*u**4 + 2*u**5 + 6*u.
2*u*(u - 3)*(u - 1)*(u + 1)**2
Let i(n) be the third derivative of n**7/2100 + n**6/450 + n**5/300 - n**3/6 + 3*n**2. Let d(u) be the first derivative of i(u). Factor d(a).
2*a*(a + 1)**2/5
Let u be 8/3 - 10/15. Factor w + 40*w**u - 3*w - 35*w**2.
w*(5*w - 2)
Suppose -5*y = 41 + 49. Let t = -18 - y. Factor 5/3*v**3 + 1/3*v**5 - 4/3*v**4 - 2/3*v**2 + 0 + t*v.
v**2*(v - 2)*(v - 1)**2/3
Let o(k) = 2*k**3 - 9*k**2 + k - 2. Let u(c) be the first derivative of -c**4/4 + c**3 + c + 6. Let x(q) = 3*o(q) + 8*u(q). Let x(i) = 0. Calculate i.
-2, -1/2, 1
Suppose j - 31*c - 10 = -29*c, -3*c - 12 = 0. Solve 1/2*n**j + 9/2 + 3*n = 0 for n.
-3
Let r = 29 - 57/2. Determine v so that 1/2*v**3 + 1/2*v**2 - 1/2 - r*v = 0.
-1, 1
Factor 3/5*b**2 + 0*b - 2/5*b**3 - b**4 + 0.
-b**2*(b + 1)*(5*b - 3)/5
Let g(d) = d**3 + d**2 - d + 1. Let l be g(1). Let t be (l/(-5))/(21/(-15)). Factor 0*b + 0 + t*b**2.
2*b**2/7
Let n(j) be the second derivative of j**6/60 + j**5/40 - j**4/8 - 5*j**3/12 - j**2/2 - 7*j. What is d in n(d) = 0?
-1, 2
Suppose 4*o = -3*y - 15, 0*o - o - 5*y - 25 = 0. Factor -b**2 + 0*b + o + 3/2*b**3.
b**2*(3*b - 2)/2
Suppose 0 = x + 4*m + 18, 4*x + 3 = -5*m - 14. Let -4/7*z**x + 4/7 + 0*z = 0. Calculate z.
-1, 1
Suppose 19 - 5 = 7*j. Let a(g) be the first derivative of 1 + 2*g**j - 3/4*g**4 + 0*g**3 + 1/5*g**5 + 0*g. Find c, given that a(c) = 0.
-1, 0, 2
Let q(o) be the second derivative of o**8/7560 + o**7/1890 - o**5/270 - o**4/108 - 2*o**3/3 + 3*o. Let g(d) be the second derivative of q(d). Factor g(c).
2*(c - 1)*(c + 1)**3/9
Let t(v) be the first derivative of v**4/2 - 2. Let w(i) = -5*i**4 + i**3 + 5*i**2 - 6*i**2 + 6*i**4 + 9*i**3. Let k(h) = -10*t(h) + 2*w(h). Factor k(c).
2*c**2*(c - 1)*(c + 1)
Let f(k) be the second derivative of 1/7*k**2 - k + 0 - 2/21*k**3 + 1/42*k**4. Factor f(x).
2*(x - 1)**2/7
Let l be ((-8)/10)/(312/40 - 9). Determine r so that -1/3*r**3 - 1/3*r - l*r**2 + 0 = 0.
-1, 0
Let l(v) be the second derivative of 11*v**6/15 + 9*v**5/10 - v**4/3 + 4*v. Factor l(z).
2*z**2*(z + 1)*(11*z - 2)
Let h(q) be the third derivative of 0*q + 1/480*q**6 + 0*q**3 - 1/840*q**7 - 1/96*q**4 + 0 - 2*q**2 + 1/240*q**5. Factor h(i).
-i*(i - 1)**2*(i + 1)/4
Let a(n) = -n + 1. Let v be a(-11). Let c = v - 10. Factor 3*t**3 + 0*t + 3/2*t**4 + 0 + 3/2*t**c.
3*t**2*(t + 1)**2/2
Let x(o) = o**4 - 1. Let g(i) = -32*i**4 - 72*i**3 - 68*i**2 + 28. Let j(r) = -g(r) - 12*x(r). What is t in j(t) = 0?
-2, -1, 2/5
Let f(s) = -3*s**2 + 2*s - 3. Let j be f(3). Let n be (-3)/2*j/27. Factor 2/9 - 8/9*z**3 - 8/9*z + n*z**2 + 2/9*z**4.
2*(z - 1)**4/9
Factor -1/3*u**3 + u - 2/3*u**2 + 0.
-u*(u - 1)*(u + 3)/3
Suppose 0 = 3*o + 21 - 6. Let p(c) = c**2 + 3*c - 6. Let b be p(o). Suppose 12/5*v**3 + 0 + 2/5*v**5 + 8/5*v**b + 8/5*v**2 + 2/5*v = 0. What is v?
-1, 0
Factor -2*d + 14/5*d**2 - 4/5.
2*(d - 1)*(7*d + 2)/5
Let a be (30/(-225))/(0 - (-24)/(-10)). Let r(d) be the third derivative of d**2 + 1/90*d**5 + 0*d**3 - a*d**4 + 0*d + 0. Factor r(l).
2*l*(l - 2)/3
Let b = -3 + 6. Suppose -c**3 + c**3 + 4*c + 2*c**b + 6*c**2 = 0. What is c?
-2, -1, 0
Suppose 2 = 2*n - n. Let f(j) = -14*j - 58. Let u be f(-17). Find y such that 57*y**2 - 5*y**n - 3*y**2 + 8*y**2 + 84*y**5 + 6*y + 213*y**4 + u*y**3 = 0.
-1, -2/7, -1/4, 0
Let k(s) be the third derivative of -s**9/3024 - s**8/1008 - s**7/1260 + s**3 - 4*s**2. Let a(c) be the first derivative of k(c). Find o such that a(o) = 0.
-1, -2/3, 0
Solve -8 - 1/2*i**2 + 4*i = 0.
4
Let n = -39 + 28. Let u = n + 13. Suppose -2/7 - 8/7*f**3 - 4/7*f + 2*f**u = 0. Calculate f.
-1/4, 1
Find r, given that -3/7 + 0*r + 3/7*r**2 = 0.
-1, 1
Let z(j) be the first derivative of -j**4/36 - 2*j**3/9 - j**2/2 - 4*j/9 + 16. Find a such that z(a) = 0.
-4, -1
Let q be 3/72*4*2. Let i(d) be the first derivative of 1/9*d**2 + 1 - 8/27*d**3 + 1/27*d**6 + q*d**4 - 8/45*d**5 + 0*d. Factor i(l).
2*l*(l - 1)**4/9
Suppose 3*c + s - 3 = 0, 2*c + 5*s - 9 = 6. Let a = 0 - c. Factor 2*u**2 + 0*u + 2*u + a*u**2.
2*u*(u + 1)
Let o(a) be the first derivative of a**3/15 + a**2/10 + 4. Let o(l) = 0. Calculate l.
-1, 0
Let p be -1 - (3 + 1)/(-4). Factor p - 1/2*m - 1/2*m**2.
-m*(m + 1)/2
Factor 4/5*v + 2/5 + 2/5*v**2.
2*(v + 1)**2/5
Let p(i) be the third derivative of 5*i**8/192 - i**7/14 - 11*i**6/96 + i**5/4 + 5*i**4/24 - 8*i**2. Find z, given that p(z) = 0.
-1, -2/7, 0, 1, 2
Suppose -5*p + 0*y - y - 8 = 0, 5*p = y - 12. Let z be 4/10*p/(-4). Let 2/5*n**4 + 0*n**3 + 0 + 1/5*n**5 - z*n - 2/5*n**2 = 0. Calculate n.
-1, 0, 1
Find p, given that 2/15*p**2 - 2/5 - 4/15*p = 0.
-1, 3
Let a(n) be the first derivative of 1/10*n**2 + 0*n + 1/20*n**4 - 2/15*n**3 + 3. Solve a(l) = 0 for l.
0, 1
Let n be -2*1/2 - -3. Let g be 4/n - -1*2. Let -q - 7*q**4 - g*q - 2 + 7*q**3 - 2*q**3 + 9*q**2 = 0. Calculate q.
-1, -2/7, 1
Let g = 49/55 - 1/11. Suppose -g + 2/5*u**2 + 2/5*u = 0. What is u?
-2, 1
Factor x**3 - 4 + 3*x**2 + 4*x + x**3 - 6*x**3 + 8*x**4 - 7*x**4.
(x - 2)**2*(x - 1)*(x + 1)
Let j(v) be the second derivative of -v**7/70 + v**6/24 - v**5/60 - v**4/24 - 3*v**2/2 + 4*v. Let t(d) be the first derivative of j(d). What is s in t(s) = 0?
-1/3, 0, 1
Let s(h) be the first derivative of h**8/8400 + h**7/1400 - h**5/150 + 2*h**3/3 - 4. Let k(q) be the third derivative of s(q). Factor k(w).
w*(w - 1)*(w + 2)**2/5
Let i(l) be the second derivative of -8/21*l**4 - 3/35*l**6 - 4/21*l**3 + 0 - 3/10*l**5 + 0*l**2 + l. Solve i(a) = 0 for a.
-1, -2/3, 0
Let z(s) be the first derivative of -s**5/5 - s**4 - 2*s**3 - 2*s**2 - s - 2. Factor z(b).
-(b + 1)**4
Let f(x) be the second derivative of -x**5/5 + 35*x**4/12 - 44*x**3/3 + 24*x**2 + 18*x. Let f(u) = 0. What is u?
3/4, 4
Factor 1 - 1/2*g - 1/2*g**2.
-(g - 1)*(g + 2)/2
Let f be -18*(-2 - (-8)/6). Let i(s) = 6*s**3 + 1 + 8*s - 2*s**4 + 1 - 2*s - f*s**2. Let h(n) = n**3 + n**2 - n - 1. Let u(z) = -2*h(z) - i(z). Factor u(l).
2*l*(l - 2)*(l - 1)**2
Factor 1/6*d**2 + 2/3*d + 1/2.
(d + 1)*(d + 3)/6
Suppose -4*v = -4*t - 16, 2*t = -4*v + 3*t + 10. Suppose 4/3 + 2/3*k**2 + v*k = 0. Calculate k.
-2, -1
Suppose -2*y = 12 + 34. Let m = y - -25. Factor -1/2*v**m + 1/2 + 0*v.
-(v - 1)*(v + 1)/2
Let j(r) = r**2 + 4*r - 5. Let u be j(-6). Factor 3*b**4 - b + 0*b + u*b - 6*b**3 - 3*b**2.
3*b*(b - 2)*(b - 1)*(b + 1)
Let k(q) = -q**2 - 1. Let n(w) = 4*w**2 - w + 6. Let g(i) = 5*k(i) + n(i). Let d(x) = -1. Let u(f) = -2*d(f) - 2*g(f). Let u(l) = 0. Calculate l.
-1, 0
Let n = -222/7 - -32. Factor n*p**2 + 0*p + 0 + 2/7*p**3.
2*p**2*(p + 1)/7
Let j be (-6)/3 + (-16)/(-6). Let g(t) be the second derivative of 0*t**2 + 0 - j*t**3 + t - 5/6*t**4. Factor g(v).
-2*v*(5*v + 2)
Let f(s) = s**2 + 5*s - 2. Let g be f(-4). Let i = g - -8. Factor -2/5*l**i + 2/5 + 0*l.
-2*(l - 1)*(l + 1)/5
Let j(s) be the first derivative of 2*s**3/15 + s**2/5 - 8. Determine x, given that j(x) = 0.
-1, 0
Let u(s) = s**3 - 10*s**2 + 11. Let b(k) = -k**3 + 9*k**2 - 10. Let w(a) = 7*b(a) + 6*u(a). Factor w(j).
-(j - 2)**2*(j + 1)
Let p = 364 - 1091/3. Determine z, given that 1/3*z**2 + 0 + p*z = 0.
-1, 0
Let a(m) be the third derivative of m**7/168 + m**6/48 - m**5/48 - 5*m**4/48 + 7*m**2. Factor a(q).
5*q*(q - 1)*(q + 1)*(q + 2)/4
Factor -2/7*d**2 + 0*d - 2/7*d**4 + 0 + 4/7*d**3.
-2*d**2*(d - 1)**2/7
Factor 0 + 48/5*n**2 - 4*n**3 - 16/5*n.
-4*n*(n - 2)*(5*n - 2)/5
Let g = 5/114 - -3/76. Let x(r) be the second derivative of 0 + 2*r + 1/120*r**6 - 1/8*r**2 + g*r**3 - 1/40*r**5 + 0*r**4. Solve x(c) = 0.
-1, 1
Let h(v) be the first derivative of v**5 - 5*v**4 + 10*v**3 - 10*v**2 + 5*v - 10. Find t such that h(t) = 0.
1
Let m(w) be the first derivative of -w**8/4200 + w**6/450 - w**4/60 - 8*w**3/3 + 8. Let s(z) be the third derivative of m(z). Factor s(r).
-2*(r - 1)**2*(r + 1)**2/5
Let r(t) = -t + 6. Let k be r(3). Factor -2*u**2 + 0 + 0 + 0 + 2*u**k.
2*u**2*(u - 1)
Let t(m) = m