tor -5/2*z**2 - 4*z - 1/2*z**r - 2.
-(z + 1)*(z + 2)**2/2
Factor -1/6*f**4 - 1/2 + 1/3*f + 2/3*f**2 - 1/3*f**3.
-(f - 1)**2*(f + 1)*(f + 3)/6
Let y(b) be the second derivative of -b**7/8820 + b**6/1260 - b**5/420 - b**4/6 + 2*b. Let f(v) be the third derivative of y(v). Find a, given that f(a) = 0.
1
Let d(i) be the second derivative of -1/30*i**6 + 4*i + 7/12*i**4 + 0 + 1/21*i**7 + 1/6*i**3 - 7/20*i**5 - i**2. Factor d(n).
(n - 1)**3*(n + 2)*(2*n + 1)
Let k(q) be the third derivative of -q**6/24 - q**5/3 - 5*q**4/8 - 6*q**2 + 5*q. Solve k(c) = 0.
-3, -1, 0
Let t(u) = u + 6. Let s be t(-12). Let y(r) = -9*r**4 + 6*r**3 - 3*r**2 + 6*r. Let m(h) = h**4 - h**3 + h**2 - h. Let x(w) = s*m(w) - y(w). Factor x(b).
3*b**2*(b - 1)*(b + 1)
Let x = 9 - 7. Let v(r) = r**2 + 2*r - 2. Let y be v(2). Factor -y*t + 11 + 2*t**2 + x*t - 9.
2*(t - 1)**2
Let u(s) be the first derivative of s**7/1400 + s**6/360 - s**5/300 + 8*s**3/3 + 3. Let l(b) be the third derivative of u(b). Factor l(t).
t*(t + 2)*(3*t - 1)/5
Suppose 3*b = -6, 5*x + 18 - 2 = -3*b. Let z be 7 + x/1*1. Suppose -8*c**4 + 2/3 + 32/3*c**z - 32/3*c**3 + 10/3*c**2 + 4*c = 0. Calculate c.
-1/2, -1/4, 1
Let r = 73 - 437/6. Let u(c) be the first derivative of 1/2*c**4 - c - r*c**6 + 1 - 1/5*c**5 - 1/2*c**2 + 2/3*c**3. Factor u(g).
-(g - 1)**2*(g + 1)**3
Let u(n) be the second derivative of n**4/4 + n**3 + 3*n**2/2 - 7*n. Suppose u(m) = 0. What is m?
-1
Solve -4/5*m - 2/5*m**2 + 0 + 2/5*m**3 = 0.
-1, 0, 2
Let g(x) be the first derivative of 2*x**3/21 + 5*x**2/7 + 8*x/7 - 22. Factor g(b).
2*(b + 1)*(b + 4)/7
Let p = -145 - -147. Factor 2/9*y**3 + 2/9*y**4 - 2/9*y**p - 2/9*y + 0.
2*y*(y - 1)*(y + 1)**2/9
Let s(j) be the first derivative of j**4/8 + j**3/3 - 14. Let s(x) = 0. Calculate x.
-2, 0
Let x be (-4)/(-14) + (-2014)/(-1155). Let d = x - -16/105. Let 10/11*h**5 - 18/11*h + 4/11 - d*h**4 + 20/11*h**2 + 8/11*h**3 = 0. Calculate h.
-1, 2/5, 1
Let u be ((-12)/(-21))/(8/28). Solve 0*m**u + 0 + 5/2*m**3 - 5/4*m - 5/4*m**5 + 0*m**4 = 0 for m.
-1, 0, 1
Let s be 6/(-4)*(-6)/3. Suppose s*w = -0*w + 24. Solve r**4 + 8*r + 0*r**4 + w*r**3 - 2 - 12*r**2 - 3*r**4 = 0 for r.
1
Let s(x) be the second derivative of -x**4/12 + 13*x**3/3 - 169*x**2/2 + 49*x. Factor s(v).
-(v - 13)**2
Let s be ((-5)/(-2) - 1)/((-252)/(-48)). Suppose -6/7*i**4 + 0*i + 0 - 2/7*i**2 - s*i**5 - 6/7*i**3 = 0. What is i?
-1, 0
Determine f so that -18/11*f + 0*f**2 + 6/11*f**3 - 12/11 = 0.
-1, 2
Suppose -45*y**2 - 6 - 7 - 7 + 3*y + 97*y = 0. What is y?
2/9, 2
Suppose -6 = -3*y, 2*y = -4*i + y - 2. Let b be (i/(-5)*1)/1. Factor -7/5*x**3 - 3/5*x**4 - x**2 - b*x + 0.
-x*(x + 1)**2*(3*x + 1)/5
Let v = -578 - -4048/7. Solve -1/7*c**3 + 0 - 3/7*c**4 + 3/7*c**2 - 1/7*c**5 + v*c = 0.
-2, -1, 0, 1
Suppose h - 2 + 1 = -2*o, -3*h = -5*o - 14. Let x(s) be the first derivative of -3 + 0*s**2 + 1/3*s - 1/9*s**h. Factor x(c).
-(c - 1)*(c + 1)/3
Factor 0*p**2 + 2*p**2 + 3 + 4*p - p**2.
(p + 1)*(p + 3)
Let a(v) be the second derivative of -v**6/1620 + v**5/135 - v**4/27 - v**3/2 + 4*v. Let z(u) be the second derivative of a(u). Find p, given that z(p) = 0.
2
Let w(r) = -r**3 - 1. Let g(y) = -y**3 + 3*y**2 + 2. Let s(d) = g(d) + 2*w(d). Suppose s(z) = 0. Calculate z.
0, 1
Let k(h) be the third derivative of h**7/105 - h**6/60 + 60*h**2. Suppose k(p) = 0. What is p?
0, 1
Factor -1/6*g**3 + 0*g - 2/3 + 1/2*g**2.
-(g - 2)**2*(g + 1)/6
Let t(w) be the first derivative of w**8/1008 - w**7/630 - w**6/360 + w**5/180 - 2*w**2 - 4. Let a(y) be the second derivative of t(y). Solve a(c) = 0 for c.
-1, 0, 1
Let w(m) be the first derivative of -m**5/15 + 2*m**3/9 - m/3 - 9. Factor w(o).
-(o - 1)**2*(o + 1)**2/3
Let x be 180/42 + -3 + -1. What is r in -x*r**2 + 0 + 0*r = 0?
0
Solve 2*n**3 - 16/7*n**4 + 0*n - 4/7*n**2 + 0 + 6/7*n**5 = 0.
0, 2/3, 1
Let h(d) = d**4 - 4*d**2 + 1. Let n(j) = j**4 - 5*j**2 + 1. Let l(w) = 3*h(w) - 2*n(w). Suppose l(y) = 0. Calculate y.
-1, 1
Let n(c) be the second derivative of -c**7/3360 + c**6/1440 - c**3 - 4*c. Let t(f) be the second derivative of n(f). Suppose t(x) = 0. What is x?
0, 1
Let d(p) = -p**3 - 12*p**2 - p - 10. Let m be d(-12). Solve 32/7*a**3 + 48/7*a**m + 18/7*a + 2/7 = 0.
-1, -1/4
Let b(n) = -2*n - 4. Let w be b(-9). Let z = -11 + w. Determine t so that 3*t**2 - 11/3*t**z - 1/3*t - 1/3 + 4/3*t**4 = 0.
-1/4, 1
Let o(l) = l**2 - 5*l - 10. Let j be o(7). Factor -20*t**3 - 6*t**2 - j*t**4 + 3*t**2 - 5*t**2 + 8*t**3.
-4*t**2*(t + 1)*(t + 2)
Let b(p) = -7*p**2 + 31*p - 29. Let g(x) = 3*x**2 - 15*x + 14. Let s(w) = 6*b(w) + 15*g(w). Suppose s(k) = 0. What is k?
1, 12
Let n be 62/120 + (-6)/15. Let l(d) be the second derivative of -n*d**6 + 0 + 3/10*d**5 + d - 1/8*d**4 - 1/6*d**3 + 0*d**2. Factor l(b).
-b*(b - 1)**2*(7*b + 2)/2
Factor 7/4*a**2 + 4*a + 3 + 1/4*a**3.
(a + 2)**2*(a + 3)/4
Let f(a) be the third derivative of a**5/60 - 5*a**4/24 + 18*a**2. Suppose f(w) = 0. Calculate w.
0, 5
Suppose 3*o = -14 + 14. Factor o*v**3 + 1/2*v**4 + 0 - 1/2*v**2 + 1/4*v - 1/4*v**5.
-v*(v - 1)**3*(v + 1)/4
Suppose -4 = -q - 0. Let a(h) = h**2 + 4*h - 1. Let b be a(-5). Factor k - 5*k + 4*k**3 - 10*k**2 + 0*k**b + 10*k**q.
2*k*(k - 1)*(k + 1)*(5*k + 2)
Suppose 0 = -2*s - 5*u + 11, -3*u = -3*s + 2 + 4. Let g = s + 1. Factor 0*t**3 + 0*t - 1/3 - 1/3*t**g + 2/3*t**2.
-(t - 1)**2*(t + 1)**2/3
Let s(f) be the first derivative of 0*f - 1 + 2/21*f**3 - 2/7*f**2. Factor s(a).
2*a*(a - 2)/7
Let p(k) be the first derivative of -k**8/2520 - k**7/1260 + k**6/540 + k**5/180 + 4*k**3/3 + 1. Let d(m) be the third derivative of p(m). Solve d(u) = 0.
-1, 0, 1
Let g(f) = f**2 - f - 1. Let y(h) = 5*h**3 + 25*h**2 - 30*h - 25. Let u(q) = -25*g(q) + y(q). Find p such that u(p) = 0.
-1, 0, 1
Let p = -2/445 - -2229/890. Factor p*o**4 + 0*o - 1/2*o**3 - 1/2*o**2 + 0 - 3/2*o**5.
-o**2*(o - 1)**2*(3*o + 1)/2
Let l be (26/(-1))/(-2) - 1. Suppose 2*u - l = -2*u. Suppose -5/2*n**u + 0*n - 3/2*n**4 + n**2 + 0 = 0. Calculate n.
-2, 0, 1/3
Let x(q) = 2*q**4 - q - 3. Let n(s) = s**4 - s**3 - s**2 - s - 2. Let o be (20/6)/(-5)*3. Let u(g) = o*x(g) + 3*n(g). Let u(d) = 0. What is d?
-1, 0
Let b = -3 - 5. Let x = -6 - b. Suppose -2*p**2 + p**2 + p - p**2 - 1 + 4*p**x = 0. What is p?
-1, 1/2
Let r(n) = 5*n**3 - 5*n**2 - 6*n + 2. Let j(o) = 26*o**3 - 25*o**2 - 31*o + 9. Let h(w) = -6*j(w) + 33*r(w). Factor h(b).
3*(b - 2)*(b + 1)*(3*b - 2)
Let s(j) be the third derivative of -j**5/70 - 2*j**4/7 - j**3 + 22*j**2. Factor s(h).
-6*(h + 1)*(h + 7)/7
Suppose -o + z = 0, -o = 3*z - 7 - 1. Let y = 5 - o. What is s in 0 + 2/7*s**y - 4/7*s**2 + 2/7*s = 0?
0, 1
Let z(g) be the second derivative of -g**5/50 + g**4/10 + g**3/15 - 3*g**2/5 + 4*g. Factor z(b).
-2*(b - 3)*(b - 1)*(b + 1)/5
Let a(w) be the third derivative of w**6/120 + 3*w**5/40 + w**4/4 - 5*w**3/6 - 7*w**2. Let h(q) be the first derivative of a(q). Solve h(c) = 0 for c.
-2, -1
Let k be (-1)/4 + (-8)/(-6). Let n = k - 5/6. What is a in 1/2*a**3 - n*a**2 - 1/2*a + 1/4*a**4 + 0 = 0?
-2, -1, 0, 1
Let d = 10 - 8. Suppose p = 2*q + 10, d*q = -2*p - 3*p + 2. Find n, given that 4*n**3 + 0 + 0*n**p - 2/3*n - 16/3*n**4 + 2*n**5 = 0.
-1/3, 0, 1
Suppose -5 = 5*g - 5*k, -g - 3*g + k = -5. Suppose -n + 3 + 2 = 0, -5*z = 2*n - 20. Factor -4*y**g - 2*y**3 + 0*y**3 + 0*y**3 - z*y.
-2*y*(y + 1)**2
Let p = 402 + -3608/9. Factor 10/9*w - p*w**3 - 4/9*w**2 + 4/9.
-2*(w - 1)*(w + 1)*(5*w + 2)/9
Let m(g) be the first derivative of -g**6/6 + 6*g**5/5 - 7*g**4/2 + 16*g**3/3 - 9*g**2/2 + 2*g + 15. Factor m(p).
-(p - 2)*(p - 1)**4
Let s = -188 + 190. Factor 0 + 0*v**s + 1/4*v**3 + 0*v - 1/4*v**4.
-v**3*(v - 1)/4
Let k be 3/(-8) - (-18)/16. Let n = -95/12 + 55/6. Factor n*q**4 - 1/2*q**3 + 0*q**2 - k*q**5 + 0 + 0*q.
-q**3*(q - 1)*(3*q - 2)/4
Let n(f) = f**2 - 8*f + 9. Let l(z) = z. Let k(w) = -4*l(w) - 2*n(w). Let k(t) = 0. Calculate t.
3
Suppose -3*j + 3*a + 7 = -17, 5*a = 4*j - 32. Let t be 12/(-4)*j/(-12). Suppose 2/3*y**t + 0*y + 0 = 0. What is y?
0
Suppose 5*p = 8*p - 9. Find n such that -n**3 - n**3 + 2 + 3*n**3 - p*n**2 + n**2 - n = 0.
-1, 1, 2
Let t be (-18)/(-4) - ((-54)/12 - -4). Let c(l) be the first derivative of -7/4*l**2 + l - 5/8*l**4 - 2 + 3/2*l**3 + 1/10*l**t. Find r such that c(r) = 0.
1, 2
Let m = 1238 + -8648/7. Suppose 4/7*k + 0 - 10/7*k