4 - s**5 - z*s + s + 3*s**5 + 4*s**2 = 0.
-1, 0, 1
Let c(g) be the first derivative of -7*g**3/12 - 5*g**2/4 - 3*g/4 - 1. Solve c(z) = 0.
-1, -3/7
Suppose 0*a - 9 = -3*a. Factor -6*v**3 - v**5 - 5*v**4 - 5*v - 10*v**2 - 4*v**a + 0*v**3 - 1.
-(v + 1)**5
Suppose -12 = 3*m + 3*z, 0*m = 3*m + 2*z + 8. Suppose m = q + 1 - 4. Let 1/3*y**5 - 4/3*y**4 + 1/3*y + 0 - 4/3*y**2 + 2*y**q = 0. Calculate y.
0, 1
Let t(z) be the first derivative of -z**4/14 - 2*z**3/7 - 3*z**2/7 - 2*z/7 - 1. Factor t(p).
-2*(p + 1)**3/7
Let u(c) be the first derivative of -c**6/60 - c**5/30 + c**2 + 1. Let j(t) be the second derivative of u(t). Solve j(v) = 0.
-1, 0
Factor 4/7*k + 0 + 2/7*k**3 + 6/7*k**2.
2*k*(k + 1)*(k + 2)/7
Let b(w) be the third derivative of w**6/120 - w**5/60 + w**4/96 - 4*w**2. Let b(n) = 0. Calculate n.
0, 1/2
Let i be 1/5 + ((-24)/5 - -5). Solve 0*s + i*s**4 - 6/5*s**5 + 0 + 0*s**2 + 4/5*s**3 = 0 for s.
-2/3, 0, 1
Suppose -4*t - t + 4 = -2*l, l + 3*t - 9 = 0. Factor 3/4*v**l - 13/4*v**2 + 4*v - 1.
(v - 2)**2*(3*v - 1)/4
Let r be 12/(-10)*(-25)/10. Let v(l) be the first derivative of -2*l + 2*l**2 - 3 - 2/3*l**r. Factor v(k).
-2*(k - 1)**2
Let v(s) = -7*s**3 - 3*s**2 + 10. Let y(t) = 13*t**3 + 5*t**2 - 19. Let j(k) = -11*v(k) - 6*y(k). Let w(z) be the first derivative of j(z). Factor w(g).
-3*g*(g - 2)
Let o(w) be the second derivative of -1/48*w**4 - 1/8*w**2 + 0 - w + 1/12*w**3. Let o(z) = 0. What is z?
1
Let s be (-3)/22*40/(-18). Let t = 15/11 + s. Suppose t*p**3 + 4/3*p - 25/3*p**4 + 0 + 16/3*p**2 = 0. Calculate p.
-2/5, 0, 1
Let s = -3371/6 - -562. Factor -s*a**4 + 0 + 0*a**3 + 0*a + 1/6*a**2.
-a**2*(a - 1)*(a + 1)/6
Let v = 412/3 + -136. Suppose 4/3 - w**2 + 4/3*w - v*w**3 - 1/3*w**4 = 0. What is w?
-2, -1, 1
Let a(s) be the third derivative of 4*s**7/945 - s**6/180 - s**5/270 + 3*s**2. Solve a(c) = 0.
-1/4, 0, 1
Let o(s) be the third derivative of 7*s**6/360 - s**5/20 + s**4/36 + 21*s**2. Factor o(w).
w*(w - 1)*(7*w - 2)/3
Let o = -22 + 22. Let m(r) be the third derivative of 1/12*r**3 + 7/96*r**4 - 2*r**2 + 7/240*r**5 + 0*r + 1/240*r**6 + o. Determine a so that m(a) = 0.
-2, -1, -1/2
Let r be 7/21 + (-4)/(-6). Let w be (483/15 - r) + -2. Determine z, given that 98/5*z**5 - 64/5*z + w*z**2 - 154/5*z**4 - 34/5*z**3 + 8/5 = 0.
-1, 2/7, 1
Let n(k) be the third derivative of 2*k**7/105 - 11*k**6/120 + k**5/12 + k**4/12 + 4*k**2. Find u, given that n(u) = 0.
-1/4, 0, 1, 2
Let s = -55/9 + 61/9. Find a, given that 0 - s*a**2 + 0*a + 1/3*a**4 + 1/3*a**3 = 0.
-2, 0, 1
Let w(g) = -7*g**2 + 7 + 0*g + g**3 + 15*g**2 + 9*g - g. Let r be w(-7). Suppose r*m**3 - 1/4*m**2 + 1/4*m**4 + 0 + 0*m = 0. What is m?
-1, 0, 1
Let s(j) = 2*j**5 + 2*j**4 - 4*j**3 + 2*j**2. Let y(c) = 9*c**5 + 11*c**4 - 20*c**3 + 11*c**2. Let l(d) = 11*s(d) - 2*y(d). What is q in l(q) = 0?
-1, 0, 1
Factor 22*r**4 - 26*r**4 + 8*r**3 - 4*r**2 + 0*r**2.
-4*r**2*(r - 1)**2
Let w(s) be the second derivative of -2*s**6/5 - 8*s**5/5 - 2*s**4 + 2*s**2 + 16*s. Factor w(i).
-4*(i + 1)**3*(3*i - 1)
Let l(v) be the first derivative of v**6/90 - v**5/10 - v**3/3 - 2. Let m(i) be the third derivative of l(i). Let m(g) = 0. What is g?
0, 3
Let w(a) = 5*a**3 - a**2 - 5*a - 2. Suppose -5*n = -2*n + 15. Let h(r) = r**2 - 7*r**2 - 9*r**3 + 7*r**2 + 4 + 9*r. Let x(c) = n*w(c) - 3*h(c). Factor x(i).
2*(i - 1)*(i + 1)**2
Let o = 17 + -7. Let p be (-4)/o*(-5)/10. Let -12/5*b - 13/5*b**2 - 6/5*b**3 - p*b**4 - 4/5 = 0. What is b?
-2, -1
Factor -2/11*x**3 + 2/11*x**2 - 2/11 + 2/11*x.
-2*(x - 1)**2*(x + 1)/11
Suppose -18 + 15 = -b. Find g, given that -1/4*g + 1/2*g**b - 1/4*g**2 + 0 = 0.
-1/2, 0, 1
Let l(a) be the third derivative of -a**8/1680 - a**7/350 - a**6/200 - a**5/300 + 15*a**2. Find r such that l(r) = 0.
-1, 0
Let j = 9 - 6. Find d, given that 54 + d - 4*d**3 - d**2 - 53 + 3*d**j = 0.
-1, 1
Suppose -4/13*q**2 + 0*q - 2/13*q**5 + 2/13*q**3 + 0 + 4/13*q**4 = 0. What is q?
-1, 0, 1, 2
Let n(s) be the second derivative of 3*s**5/20 - s**4/4 - s**3/3 - s**2 - 3*s. Let m(o) = -o**3 + o**2 + o + 1. Let h(x) = 4*m(x) + 2*n(x). Factor h(v).
2*v**2*(v - 1)
Let x = 6 + -8. Let v(k) = -k**3 - k + 1. Let a(t) = -3*t**3 + t**2 + 2. Let f = 4 - 3. Let c(z) = f*a(z) + x*v(z). What is s in c(s) = 0?
-1, 0, 2
Let i(f) = f**3 - 4*f**2 - 3*f - 7. Let k be i(5). What is o in -4*o**2 - 11*o - 2*o**2 + 4*o**3 + 14*o - o**k = 0?
0, 1
Factor -2/9*g**4 - 4/3*g**2 - 2/9 + 8/9*g**3 + 8/9*g.
-2*(g - 1)**4/9
Let c(k) be the first derivative of k**4/32 - k**3/12 - k**2/4 + k - 1. Find t, given that c(t) = 0.
-2, 2
Let w(m) be the third derivative of m**7/840 + m**6/120 + m**5/48 + m**4/48 + 3*m**2. Factor w(c).
c*(c + 1)**2*(c + 2)/4
Let k(b) be the third derivative of -b**8/840 + b**2. Determine d so that k(d) = 0.
0
Let l(n) be the third derivative of n**8/168 + 4*n**7/105 + n**6/20 - 2*n**5/15 - n**4/3 - 8*n**2. Let l(b) = 0. Calculate b.
-2, -1, 0, 1
Factor -1/2*f + 0 - 1/4*f**2.
-f*(f + 2)/4
Let o(u) be the third derivative of u**6/8 - 7*u**5/12 + 10*u**3/3 + 10*u**2. Factor o(k).
5*(k - 2)*(k - 1)*(3*k + 2)
Determine f so that 3*f**2 + 5*f - 3*f**2 - 2*f + 3*f**2 = 0.
-1, 0
Let d(v) = v**3 + 3*v**2 - 6*v - 5. Let y be d(-4). Let l = y + 5. Let -7*j**2 - 17*j**2 - l*j - 2 - 6*j**4 - 20*j**3 - 4*j = 0. Calculate j.
-1, -1/3
Suppose -75 = i + 25. Let f be 2/8 - i/112. Factor 162/7*x**2 + f + 72/7*x.
2*(9*x + 2)**2/7
Let y(m) be the second derivative of 5*m + 9/20*m**5 + 0*m**3 - 1/2*m**4 + 0*m**2 + 0. Factor y(s).
3*s**2*(3*s - 2)
Let l(g) = 1 + 0*g - g - 3*g. Let r be l(-1). Let n(v) = v**4 + 5*v**3 - v**2 + 5*v - 5. Let y(k) = -k**3 - k + 1. Let w(q) = r*y(q) + n(q). Factor w(j).
j**2*(j - 1)*(j + 1)
Let o(f) = -f - 10. Let w be o(-10). Let l(m) be the third derivative of -1/120*m**4 + 0*m**5 - 2*m**2 + w*m**3 + 1/600*m**6 + 0 + 0*m. Factor l(c).
c*(c - 1)*(c + 1)/5
Let h(p) be the second derivative of p**10/166320 + p**9/41580 - p**7/6930 - p**6/3960 + p**4/6 - p. Let j(w) be the third derivative of h(w). Factor j(y).
2*y*(y - 1)*(y + 1)**3/11
Let p be (-4)/(-35) + 14/49. Determine f, given that -2/5*f**2 + 2/5*f**3 - p*f + 2/5*f**4 + 0 = 0.
-1, 0, 1
Let v(g) = 8*g**3 + g**2 - 7. Let t(d) = -7*d**3 - d**2 + 6. Let l(x) = 7*t(x) + 6*v(x). Factor l(s).
-s**2*(s + 1)
Let r(d) = d**2 + d. Let m(g) = -4*g**2 - 5*g. Let u = 7 - 5. Let q(h) = u*m(h) + 9*r(h). Factor q(b).
b*(b - 1)
Let s(a) = -31*a**2 - a. Let c be s(-1). Let m be c/(-44) - 12/66. Factor -1/4*q + 1/4 + 1/4*q**3 - 3/4*q**2 + m*q**4.
(q - 1)*(q + 1)**2*(2*q - 1)/4
Let y(v) be the second derivative of -1/240*v**5 + 0*v**3 + 2*v + 0 + 0*v**4 - 1/2*v**2 - 1/480*v**6. Let x(j) be the first derivative of y(j). Factor x(h).
-h**2*(h + 1)/4
Let f = -157 - -157. Factor 1/3*q**3 - 2/3*q**2 + f + 0*q + 12*q**4.
q**2*(4*q + 1)*(9*q - 2)/3
Factor 7*a**2 + 5*a - 5*a**2 + 3*a**2.
5*a*(a + 1)
Let t(c) be the third derivative of c**7/357 + c**6/85 + 2*c**5/255 + 34*c**2. Determine u so that t(u) = 0.
-2, -2/5, 0
Let w(h) be the first derivative of 3*h**4/10 - 34*h**3/15 + 22*h**2/5 - 16*h/5 - 3. Let w(q) = 0. What is q?
2/3, 1, 4
Let h(z) = 2*z**2 - z + 2*z**3 - 2*z**2 - 3*z**2 + 5*z**2. Let m be h(1). Factor 8/7 - 6/7*q**m + 0*q - 2*q**2.
-2*(q + 1)*(q + 2)*(3*q - 2)/7
Let u = -592274/105 + 5641. Let s = -2/21 + u. Let -1/5*x**4 + 2/5*x**2 + 0*x - s + 0*x**3 = 0. What is x?
-1, 1
Let p(w) be the third derivative of -1/60*w**5 + 1/12*w**4 + 0 - 7*w**2 + 0*w + 0*w**3. Suppose p(n) = 0. What is n?
0, 2
Factor 0*o**3 - 2*o**4 + 3*o**2 - 6*o**2 + 5*o**2 - 2*o**3 + 2*o**5.
2*o**2*(o - 1)**2*(o + 1)
Suppose 0 = 5*v - 170 - 70. Suppose 5*j = j + 2*z + 36, -4*z - v = -5*j. Factor 8*g + 6*g**2 - j + 6*g**3 - g**4 + 3*g**4 - 14*g**3.
2*(g - 2)**2*(g - 1)*(g + 1)
Let i(a) be the first derivative of -3*a**4/4 - 4. Factor i(l).
-3*l**3
Let y(x) = -7*x**3 - 2*x**2 + 1. Let q be y(-1). Factor 18*c**2 + 54*c + c**4 + q*c**3 + 2*c**2 + 16*c**2 + 4*c**3 + 27.
(c + 1)*(c + 3)**3
Let g(l) be the first derivative of -3*l**4/20 - l**3/5 + 6*l**2/5 + 12*l/5 + 8. Let g(x) = 0. Calculate x.
-2, -1, 2
Let k be 6/(-16) - 129/(-216). Factor k + 4/9*c + 2/9*c**2.
2*(c + 1)**2/9
Let p(t) be the third derivative of -t**7/5040 - t**6/540 - t**5/144 - t**4/72 - 4*t**3/3 + 4*t**2. Let l(o) be the first derivative of