 - 8*i**2 - i**3 - 1 + 12*i**d = 0.
-1/4, 1
Suppose -3*r - 3 = -9. Let i(b) be the first derivative of b + 1/5*b**5 + 0*b**r + 0*b**4 - 2 - 2/3*b**3. Factor i(x).
(x - 1)**2*(x + 1)**2
Let l(s) be the third derivative of s**7/420 - s**6/90 - s**5/60 + s**4/6 - s**3/6 + 2*s**2. Let r(k) be the first derivative of l(k). Solve r(j) = 0.
-1, 1, 2
Let p(h) = -h**2 + 9*h + 193. Let o be p(-10). Factor 4/9*c**2 - 2/9*c**5 - 2/9*c**4 - 2/9 - 2/9*c + 4/9*c**o.
-2*(c - 1)**2*(c + 1)**3/9
Solve 17*d**2 + 5*d**3 + 0*d**4 - 3*d**3 + 16*d**4 + 10*d**5 - 21*d**2 = 0.
-1, 0, 2/5
Let p(w) be the first derivative of -2*w**3/3 + 2*w + 1. Factor p(u).
-2*(u - 1)*(u + 1)
Let p(a) be the second derivative of -a**6/480 + a**5/120 + a**4/96 - a**3/12 - a**2/2 + 3*a. Let j(t) be the first derivative of p(t). Factor j(b).
-(b - 2)*(b - 1)*(b + 1)/4
Let v(d) be the second derivative of -7*d**6/36 - d**5/6 + 33*d. Factor v(h).
-5*h**3*(7*h + 4)/6
Let n(v) be the second derivative of -7*v + 1/30*v**4 + 0 + 0*v**2 - 1/15*v**3. Solve n(b) = 0 for b.
0, 1
Let f(w) = w**3 + 4*w**2 - 6*w - 5. Let c be f(-5). Let v = c - -3. Factor -8*m**3 + v*m - 2*m - 3*m**2 + 5*m**3 + 3 + 2*m.
-3*(m - 1)*(m + 1)**2
Let n be (-2)/(-1) - 1 - -2. Let f(t) = -2*t**3 + 5*t + 2*t**n - 3*t**3. Let a(p) = p**3 - p. Let j(z) = -5*a(z) - f(z). Factor j(m).
-2*m**3
Let g(b) be the second derivative of 0*b**2 + 0 - 1/35*b**5 + 0*b**3 - 6*b + 1/7*b**4. Factor g(x).
-4*x**2*(x - 3)/7
Let j = -10 + 26. Suppose -2*m - j = 4*h, -3*m - 7 - 7 = 4*h. Solve -22/7*t - 52/7*t**3 + 4*t**4 - 6/7*t**5 + 48/7*t**m + 4/7 = 0.
2/3, 1
Let g(u) be the third derivative of 0*u**6 + 5*u**2 + 0*u**3 + 0 + 0*u**4 - 1/5*u**5 + 0*u + 1/112*u**8 + 3/70*u**7. Factor g(z).
3*z**2*(z - 1)*(z + 2)**2
Let g = 13 - 10. Suppose 0*y**2 + 0 - 1/2*y**g + 0*y**4 + 1/2*y**5 + 0*y = 0. What is y?
-1, 0, 1
Let t(l) = -l**5 - l**3 + l**2 - l + 1. Let i(r) be the third derivative of -r**6/40 + r**5/60 + r**3/6 - 6*r**2. Let c(s) = 2*i(s) - 2*t(s). Factor c(a).
2*a*(a - 1)**2*(a + 1)**2
Let z(h) = 7*h**3 - 27*h**2 - 5*h. Let m(b) = -2*b**3 + 7*b**2 + b. Let c(d) = -22*m(d) - 6*z(d). Factor c(o).
2*o*(o + 2)**2
Let k(n) = -7*n**3 + 10*n**2 - 3*n - 4. Let d(x) = 15*x**3 - 21*x**2 + 6*x + 9. Let a(r) = 4*d(r) + 9*k(r). Factor a(f).
-3*f*(f - 1)**2
Let c(z) be the first derivative of z**4/4 - 7*z**3/3 + z**2/2 - 2*z + 5. Let t be c(7). Let 1/3*m**2 - 1/3*m**3 - 1/3*m**4 + 1/3*m**t + 0 + 0*m = 0. What is m?
-1, 0, 1
Let g(b) = b**3 - 5*b**2 + 4*b + 3. Let u(r) = -r**3 + 4*r**2 - 3*r - 2. Let v(h) = h + 4. Let i be v(-6). Let z(x) = i*g(x) - 3*u(x). Factor z(t).
t*(t - 1)**2
Let k(o) be the second derivative of o**8/20160 - o**7/1890 + o**6/720 - o**4/12 + 7*o. Let n(f) be the third derivative of k(f). Factor n(x).
x*(x - 3)*(x - 1)/3
Suppose 88*q**3 + 15*q**5 - 8 - 12*q + 5*q**5 + 32*q**2 + 0*q + 72*q**4 = 0. What is q?
-1, 2/5
Let x be (2*(-3)/(-3))/6. Let q(o) be the second derivative of -2*o + 0*o**2 + 0 - 5/4*o**4 - x*o**3 - 2/3*o**6 - 33/20*o**5. Find u such that q(u) = 0.
-1, -2/5, -1/4, 0
Factor 4/3*p + 4/3*p**2 - 1/3*p**3 - 1/3*p**4 + 0.
-p*(p - 2)*(p + 1)*(p + 2)/3
Let v(t) be the first derivative of -t**4/4 - 5*t**3/3 - 3*t**2/2 + 6*t - 1. Let g be v(-4). Find i, given that -2/11*i**3 + 0*i**g + 6/11*i + 4/11 = 0.
-1, 2
Let c(x) be the third derivative of x**6/24 + x**5/6 - 5*x**4/8 + 12*x**2 - 1. Suppose c(q) = 0. Calculate q.
-3, 0, 1
Let h(d) = 3*d + 1. Let x(s) = s**2 - s - 1. Let f(n) = -4*h(n) - 4*x(n). Find j, given that f(j) = 0.
-2, 0
Let n(a) be the third derivative of 0 + 3/80*a**5 + 1/32*a**6 + 0*a - 1/16*a**4 + 7*a**2 + 0*a**3. Find t such that n(t) = 0.
-1, 0, 2/5
Let m(g) be the second derivative of 0*g**3 - 1/20*g**6 - 4*g + 0*g**4 + 0 - 1/56*g**7 + 0*g**2 - 3/80*g**5. Factor m(f).
-3*f**3*(f + 1)**2/4
Let m(n) be the third derivative of -n**8/168 + n**6/15 + n**5/15 - n**4/4 - 2*n**3/3 + 11*n**2. Factor m(k).
-2*(k - 2)*(k - 1)*(k + 1)**3
Let g(h) = h**2 + 2*h + 1. Let v be g(-3). Let j be 0 - -2 - (-1 + 0). Factor 0 + 1/4*n**5 + 0*n - 3/4*n**v - 1/4*n**2 + 3/4*n**j.
n**2*(n - 1)**3/4
Suppose 10*d = 2*d + 24. Factor m**d - 1/2 - 1/2*m**4 + m**2 - 1/2*m - 1/2*m**5.
-(m - 1)**2*(m + 1)**3/2
Suppose 3*f = 57 + 15. Let m be 3 + 0 + f/(-9). Find y such that m + 1/3*y**2 + 2/3*y = 0.
-1
Let r(w) = -w. Let f(o) = -o**2 + 6*o - 36. Let u(l) = -5*f(l) + 30*r(l). Factor u(a).
5*(a - 6)**2
Let k(a) be the second derivative of 0*a**2 + 1/3*a**3 + 0 + 6*a - 1/6*a**4. Factor k(j).
-2*j*(j - 1)
Let z be (2/(-2))/2*-2. Let l(j) = 2*j. Let a be l(z). Determine v, given that -4*v**3 - 3*v**a + v - v**2 + v**2 = 0.
-1, 0, 1/4
Let u(x) be the first derivative of -6*x**5/5 + 7*x**4/5 + 2*x**3/5 - 2*x**2/5 + 11. Let u(h) = 0. What is h?
-2/5, 0, 1/3, 1
Let h(w) be the third derivative of 0*w + 0*w**5 + 1/1260*w**7 + 0 - 2*w**2 - 1/360*w**6 - 1/36*w**3 + 1/72*w**4. Find n such that h(n) = 0.
-1, 1
Solve 1/4*k**2 - k + 1 = 0.
2
Let f(q) = 2*q + 1. Let j(b) = -b - 1. Let h(c) = f(c) + j(c). Let d be h(3). Find r such that 0*r**3 - 9*r**2 - 3 - 9*r - r**3 - 2*r**d = 0.
-1
Let a(r) be the second derivative of -r**7/1575 + r**5/450 + 2*r**2 - 2*r. Let j(b) be the first derivative of a(b). Determine q so that j(q) = 0.
-1, 0, 1
Let w(q) be the first derivative of 1/2*q**4 - 9/5*q**5 + 2/3*q**6 - 3*q**2 + q + 8/3*q**3 + 3. Factor w(h).
(h - 1)**3*(h + 1)*(4*h - 1)
Let r = 1694 - 23693/14. Let u = 15/7 - r. Solve u*m**3 - 1/2*m + 1/2*m**2 - 1/2 = 0.
-1, 1
Suppose -5*b + 0*b - 3*a = -24, -b + 12 = 3*a. Let x be 3*((-5)/3 + b). Factor 2*w + 2/7*w**x + 18/7*w**2 + 10/7*w**3 + 4/7.
2*(w + 1)**3*(w + 2)/7
Let w(y) be the third derivative of 4*y**2 - 1/30*y**5 + 0*y**3 + 0 + 0*y + 0*y**4. Let w(q) = 0. Calculate q.
0
Let h(a) be the second derivative of 0*a**2 - 2/49*a**7 - 1/14*a**4 + 6*a + 0 + 2/35*a**6 + 9/140*a**5 - 1/14*a**3. Solve h(m) = 0 for m.
-1/2, 0, 1
Solve -5*a**3 - 4/7 + 4/7*a + 17/7*a**2 - 5/7*a**5 + 23/7*a**4 = 0 for a.
-2/5, 1, 2
Suppose -2/11*j**3 - 54/11*j + 18/11*j**2 + 54/11 = 0. Calculate j.
3
Let p = -961/4 - -503/2. Solve p*q**2 + 1/2 - 27/4*q**4 + 27/4*q**3 + 17/4*q = 0.
-1/3, 2
Find w, given that 4/5*w**2 - 3/5*w**3 + 1/5*w - 2/5 = 0.
-2/3, 1
Let m(t) be the second derivative of 0 + 4/15*t**3 + 2*t - 4/5*t**2 - 1/30*t**4. Factor m(z).
-2*(z - 2)**2/5
Let p(t) be the third derivative of t**6/30 + 2*t**5/5 + 2*t**4 + 16*t**3/3 - 10*t**2. Solve p(g) = 0.
-2
Factor -238 - 4*n + 238 - 4*n**2.
-4*n*(n + 1)
Let g(n) = n**3 - 2*n**2 - 2. Let p be g(2). Let b be p/(-4) + (-6)/(-4). Factor -3*a + 2 + 3*a - 4*a + 2*a**b.
2*(a - 1)**2
Let l = 13 - 9. Let f be (-10)/25 - (-3 - (-33)/15). Let -2/5*v**5 + 0*v**3 - 4/5*v**2 + 4/5*v**l + 0 + f*v = 0. Calculate v.
-1, 0, 1
Let r be 1859/515 - (1 + 2). Let n = r + -1/103. Determine d, given that 3/5*d - n*d**2 + 0 = 0.
0, 1
Determine t, given that 7/3*t - 7/3*t**3 + t**2 - 5/3*t**4 + 2/3 = 0.
-1, -2/5, 1
Let g(n) be the third derivative of -n**5/105 + 5*n**4/21 - 50*n**3/21 - 17*n**2. Determine v, given that g(v) = 0.
5
Suppose 9*a = 6*a. Let v be ((-1)/2 + a)*0. Let 2/5*z - 2/5*z**3 + 0 + v*z**2 = 0. What is z?
-1, 0, 1
Let r(a) be the second derivative of -a**4/4 - 3*a**3/2 - 9*a - 2. Let r(g) = 0. Calculate g.
-3, 0
Let f be (28/(-10))/(-7) - 96/(-210). Let -8/7 + 0*s + 2/7*s**3 + f*s**2 = 0. What is s?
-2, 1
Let p be (-3)/(-5) - 906/(-90). Let v = p - 10. Factor 2/3*s**5 + 0*s**2 + 0 + 4/3*s**4 + v*s**3 + 0*s.
2*s**3*(s + 1)**2/3
Suppose 0 = -2*u + 4*g - 46 + 64, 5*g + 20 = 0. Let 3/2*h + u - h**2 - 3/2*h**3 = 0. Calculate h.
-1, -2/3, 1
Factor 0 + 1/4*o**2 + 3/4*o.
o*(o + 3)/4
Factor 0*g - 2/3*g**3 + 0 + 1/3*g**2 + 1/3*g**4.
g**2*(g - 1)**2/3
Let y(u) = -u + 1. Let k(v) = 4 + 14*v**2 + 0 + 2*v - 2*v. Let m(g) = k(g) - 4*y(g). Factor m(z).
2*z*(7*z + 2)
Let u(y) = -10*y**2 + 15*y + 9. Suppose -l = l - 10. Let o(c) = -7*c - 2 + l*c**2 - 7 + 5. Let v(s) = -7*o(s) - 3*u(s). Suppose v(k) = 0. Calculate k.
-1/5, 1
Let w(a) = 5*a**2 - 8*a + 20. Let f(s) = 4*s**2 - 8*s + 19. Let v(k) = 4*f(k) - 3*w(k). Solve v(q) = 0 for q.
4
Let c be 6 + (165/(-6))/5. Factor -w**2 + 0*w + c*w**5 + w**4 - 1/2*w**3 + 0.
w**2*(w - 1)*(w + 1)*(w + 2)/2
Let q = 105/452 + 2/113. Factor -q*n**5 + 0 - 1/4*n - 3/2*n**3 + n**2 