*d**2 + 2/7 = 0.
-2/5, 1
Let j(c) be the second derivative of -3*c - 1/24*c**3 + 0*c**2 + 0 + 1/48*c**4. Solve j(x) = 0 for x.
0, 1
Let y be 136/30 + -4 - 4/10. Let p(u) be the first derivative of 2/75*u**5 + 0*u**3 - 2/15*u + 1/15*u**4 + 5 - y*u**2. Factor p(n).
2*(n - 1)*(n + 1)**3/15
Let c(w) be the first derivative of w**6/9 + 4*w**5/5 + 2*w**4 + 20*w**3/9 + w**2 - 22. Factor c(f).
2*f*(f + 1)**3*(f + 3)/3
Let l be ((-2)/4*2)/1. Let w be (28/(-66))/(l/3). Factor 0 - 8/11*a**2 - 32/11*a**3 + 0*a - w*a**4.
-2*a**2*(a + 2)*(7*a + 2)/11
Let v(i) = -81*i**4 + 31*i**3 + 70*i**2 - 20*i. Let l(c) = -41*c**4 + 16*c**3 + 35*c**2 - 10*c. Let z(j) = 11*l(j) - 6*v(j). Factor z(u).
5*u*(u - 1)*(u + 1)*(7*u - 2)
Let g(w) be the third derivative of 0*w**3 + 0*w - 1/10*w**5 - w**2 + 1/40*w**6 + 0 + 1/8*w**4. Let g(q) = 0. What is q?
0, 1
Suppose 12*z - 53 - 7 = 0. Find d such that -1/5*d**3 + 0*d + 2/5*d**2 - 2/5*d**4 + 0 + 1/5*d**z = 0.
-1, 0, 1, 2
Let w(b) = b**3 + 7*b + 6 - 10*b**2 - 3 + 2*b**2. Let k be w(7). What is f in k*f**3 + 4*f - 2*f - 6*f**3 + f**3 = 0?
-1, 0, 1
Let l = -2 + 7. Suppose -3*y = -3*w + 6, y + 3*y + l = 3*w. Determine h, given that 27*h**5 + 1 + 15 - 40*h**w - 32*h**3 - 27*h**4 - 80*h + 136*h**2 = 0.
-2, 2/3, 1
Let w = -28 + 33. Let z(v) be the first derivative of -2/3*v + 1 + 0*v**3 + 2/15*v**w - 1/3*v**4 + 2/3*v**2. Let z(h) = 0. Calculate h.
-1, 1
Let y(m) be the third derivative of -3/140*m**7 + 0*m - 1/6*m**4 + 0 + 4*m**2 - 1/12*m**3 - 1/10*m**6 - 11/60*m**5. Determine t, given that y(t) = 0.
-1, -1/3
Let 2*o**5 + 10*o**3 + 4*o**4 - o**4 + 4*o**2 - o**4 + 6*o**4 = 0. Calculate o.
-2, -1, 0
Let l = 657 - 68984/105. Let d(u) be the third derivative of 1/420*u**6 + 0*u + 0 - 2*u**2 + 1/84*u**4 + l*u**5 + 0*u**3. Determine g so that d(g) = 0.
-1, 0
Let n(f) be the third derivative of -f**8/1344 + f**7/420 - f**5/120 + f**4/96 + 15*f**2. Find y such that n(y) = 0.
-1, 0, 1
Let s(u) be the second derivative of -u**7/42 - u**6/30 + u**5/20 + u**4/12 - u. Factor s(v).
-v**2*(v - 1)*(v + 1)**2
Let m be ((-31)/(-2) - 2)/6. Let u = m - 2. Find j such that -u*j**3 - 5/4*j - j**2 - 1/2 = 0.
-2, -1
Let l = -20 - 4. Let i be (l/90)/(6/(-5)). Let -2/9*p**2 - i*p + 0 = 0. Calculate p.
-1, 0
Let w(y) be the second derivative of -y**5/70 + 4*y**3/21 - 9*y. Solve w(g) = 0.
-2, 0, 2
Let c(p) be the first derivative of p**3/27 + 5*p**2/18 + 4*p/9 + 18. Solve c(t) = 0.
-4, -1
Let t be 6/(-10)*(-5 - 0). Solve -2*g - 7*g**2 - 4*g**t + 3*g**3 - 2*g**3 = 0.
-2, -1/3, 0
Let w(a) be the second derivative of 3*a**5/140 - 3*a**3/14 - 3*a**2/7 + 27*a. Factor w(f).
3*(f - 2)*(f + 1)**2/7
Let p be 1 + 0 - ((-475)/3)/25. Factor 32/3*k**2 + 14/3*k**3 + p*k + 4/3.
2*(k + 1)**2*(7*k + 2)/3
Suppose 3*r + r + 12 = 0. Let x be (-1)/r*(-3)/(-2). Factor 3/4*q**3 - 1/4*q**4 - 3/4*q + x - 1/4*q**2.
-(q - 2)*(q - 1)**2*(q + 1)/4
Let f = -21 - -21. Suppose -2*r + 0*r = f. Factor -5/3*z**4 - 1/3*z**5 - 7/3*z**2 - 2/3*z - 3*z**3 + r.
-z*(z + 1)**3*(z + 2)/3
Let g(i) = i**4 + i**3 + i**2 - i - 1. Let u(d) = -2*d**2 + 1. Let k(x) = -g(x) - u(x). Factor k(v).
-v*(v - 1)*(v + 1)**2
Let r = -11403751/17747475 - 1/71275. Let f = 2/83 - r. Find s such that -2/3*s**2 - f*s + 0 = 0.
-1, 0
Let y(w) be the third derivative of -w**6/780 + w**5/195 + 7*w**4/156 + 4*w**3/39 + 21*w**2. Determine r, given that y(r) = 0.
-1, 4
Let z(g) = -g**3 + 2*g**2 + 4*g. Let i be 6/((-2 - -2) + 2). Let m be z(i). Solve -24/7*a**5 + 0*a**2 + 0*a + 2/7*a**m + 0 - 2/7*a**4 = 0.
-1/3, 0, 1/4
Let s(b) be the second derivative of -b**4/4 + 3*b**3 - 27*b**2/2 + b. Factor s(n).
-3*(n - 3)**2
Let l = -8 - -13. What is t in -1 + 21*t**4 + 9*t**3 - 3*t**3 + 15*t**l + 1 = 0?
-1, -2/5, 0
Let i = 8 - -6. Suppose 0 = -2*a - 2, k + 4*k - i = -a. Find x such that 0*x + 2/7*x**4 - 4/7*x**k + 0 + 2/7*x**2 = 0.
0, 1
Let w(k) = -k + 6 + k**2 - k + 4*k + 3*k. Let o be w(-4). What is n in -6*n**3 + 5/3*n**4 + 17/3*n**o + 0*n - 4/3 = 0?
-2/5, 1, 2
Suppose 34 + 6 = 5*y. Suppose -n = 3*n - y. Suppose v**3 - 5/4*v**n + 0 + 1/4*v = 0. Calculate v.
0, 1/4, 1
Let t = 17 - 21. Let n be t/(-6) + 24/36. Solve -1/3*k + n*k**3 - 2/3*k**4 + 2/3*k**2 - k**5 + 0 = 0.
-1, 0, 1/3, 1
Let o be (-5)/(90/(-58)) - (2 - -1). Let l(y) be the second derivative of -2/3*y**2 + o*y**3 + 2*y - 1/36*y**4 + 0. Factor l(v).
-(v - 2)**2/3
Let i(f) be the first derivative of -f**5/105 + f**4/42 + 4*f**3/21 - f**2 - 6. Let j(w) be the second derivative of i(w). Factor j(c).
-4*(c - 2)*(c + 1)/7
Let d = -47 + 49. Factor 1 + 7/4*v**3 - 19/4*v**2 + d*v.
(v - 2)*(v - 1)*(7*v + 2)/4
Suppose -10 = -5*g, 4*a - 7 = -g + 3. Suppose 0*b + 1/2*b**3 + 0 + 1/2*b**a = 0. What is b?
-1, 0
Let r(q) be the second derivative of 1/8*q**2 + 3*q + 1/48*q**4 + 1/12*q**3 + 0. Determine y so that r(y) = 0.
-1
Let t(w) = w**2 + 7*w + 10. Let q be t(-7). Suppose -4*z + 2 + q = 0. Find i, given that -1/4*i + 1/4*i**z - 1/4 + 1/4*i**2 = 0.
-1, 1
Let n(g) = -g**3 + 21*g**2 - 39*g + 15. Let p(v) = -v**3 + v**2 + v. Let y(t) = -n(t) - 4*p(t). Let y(a) = 0. What is a?
1, 3
Let m = -2/73 + 83/365. Factor 3/5*s**3 + 4/5*s**2 + m*s**5 - 4/5*s**4 + 0 - 4/5*s.
s*(s - 2)**2*(s - 1)*(s + 1)/5
Let v(d) be the first derivative of -d**4/10 - 4*d**3/15 - d**2/5 + 53. What is b in v(b) = 0?
-1, 0
Let f(g) = g**3 - 8*g**2 + 7*g + 3. Let r be f(7). Let p(w) be the first derivative of -1/3*w**2 - 2 + 0*w - 4/9*w**r. Suppose p(u) = 0. What is u?
-1/2, 0
Let v(a) = -a**2. Let d(c) = 21*c**2 + 12*c + 3. Let x = -43 + 31. Let j(q) = x*v(q) - d(q). Factor j(b).
-3*(b + 1)*(3*b + 1)
Let w = -13 + 24. Suppose -9 = -d + 3*x, -5*d + 5*x + 4 + w = 0. Find a, given that d*a**3 + 0 + 0*a + 1/2*a**4 + 1/2*a**5 + 0*a**2 = 0.
-1, 0
Suppose -4*q + 39 = -4*u + 15, -5*q - 4*u - 6 = 0. What is f in -2/3*f**4 - 4/3*f**q - 1/3*f + 0 - 5/3*f**3 = 0?
-1, -1/2, 0
Let v = -161 + 1129/7. Suppose 1 = -2*g + 11. Factor 2/7*o**g - 4/7*o**4 + 4/7*o**2 - v*o + 0 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/7
Let i(c) = c**3 - c**2 - c - 1. Let f(h) = -4*h**3 - 6*h**2 - 21*h - 17. Let v(s) = -f(s) - 3*i(s). Solve v(p) = 0 for p.
-5, -2
Let m(n) = -1 - n**2 + 6*n + 3 - 7. Let b be m(5). Solve 0*p + 0*p**2 + b - 2/7*p**3 = 0 for p.
0
Let k(t) be the first derivative of -t**4/14 + 22*t**3/21 - 5*t**2 + 50*t/7 + 8. Factor k(r).
-2*(r - 5)**2*(r - 1)/7
Let c(x) be the third derivative of -5*x**8/336 + x**6/12 - 5*x**4/24 + 7*x**2. Factor c(d).
-5*d*(d - 1)**2*(d + 1)**2
Find x, given that 4*x**3 + 6*x**3 - 2*x**2 - 4*x**3 + 4*x - 8*x**2 = 0.
0, 2/3, 1
Factor -18 + 5 - 3*q**2 - 12*q + 1.
-3*(q + 2)**2
Let u(n) be the second derivative of n**4/6 - 4*n**3/3 + 4*n**2 + 5*n. Let u(b) = 0. What is b?
2
Let v(q) be the first derivative of -1/2*q**4 + 0*q**3 - 3 + q**2 + 1/5*q**5 - q. Factor v(h).
(h - 1)**3*(h + 1)
Let 54*b**2 - 9*b - 6 + 54*b**2 - 111*b**2 = 0. Calculate b.
-2, -1
Let y(k) = k**2 - 2*k**2 - 3*k + 2 + 4*k. Let l(a) = a**2 - a - 3. Let v(q) = -2*l(q) - 3*y(q). Factor v(m).
m*(m - 1)
Let u(z) be the second derivative of z**7/1260 - z**6/360 - z**4/12 + 2*z. Let j(x) be the third derivative of u(x). Suppose j(k) = 0. Calculate k.
0, 1
Let n(c) be the second derivative of -c**10/90720 - c**9/22680 + c**7/3780 + c**6/2160 + c**4/4 + 4*c. Let f(a) be the third derivative of n(a). Factor f(j).
-j*(j - 1)*(j + 1)**3/3
Let i(d) be the second derivative of -d**6/60 + d**5/20 - d**4/24 + 10*d. Find k, given that i(k) = 0.
0, 1
Let k(m) be the second derivative of m**4/36 + 2*m**3/9 - 9*m. Factor k(n).
n*(n + 4)/3
Let l(k) = 9*k - 36. Let o be l(4). Determine r so that o*r + 0 + 2/5*r**3 + 0*r**2 - 2/5*r**4 = 0.
0, 1
Let k(y) be the third derivative of -y**7/210 - y**6/120 + y**5/12 - y**4/8 - 9*y**2. Factor k(j).
-j*(j - 1)**2*(j + 3)
Let w(l) be the second derivative of -l**10/45360 + l**8/5040 - l**6/1080 - l**4/4 + 2*l. Let i(k) be the third derivative of w(k). Factor i(d).
-2*d*(d - 1)**2*(d + 1)**2/3
Let q(d) be the first derivative of d**4/36 - d**3/18 - d**2/3 - 2*d + 4. Let x(g) be the first derivative of q(g). Solve x(h) = 0.
-1, 2
Let w(x) be the second derivative of 3*x**5/100 + 3*x**4/10 + 6*x**3/5 + 12*x**2/5 - 4*x. Suppose w(d) = 0. Calculate d.
-2
Suppose 26*l - 8 = 24*l. Factor 12/7 + l*g**2 - 34/7*g - 6/7*g**3.
-2*(g - 3)*(g - 1)*(3*