(v) = 0. What is v?
-1, 0, 1/2
Suppose -3*f + 4 + 14 = 0. Let g be ((-84)/(-27) - 3)*f. Solve -p**4 + 2/3*p**2 + 1/3 + 1/3*p**5 - p + g*p**3 = 0.
-1, 1
Let s(x) be the second derivative of x**4/42 - x**3/21 + 9*x. Find m such that s(m) = 0.
0, 1
Let t be (-3)/(-4)*-7*4. Let v be 9/42 - 6/t. Factor 0*o**2 + 0*o**4 + 0*o + 0 + v*o**5 - 1/2*o**3.
o**3*(o - 1)*(o + 1)/2
Let b = 169/4 - 42. Suppose 0 + 15 = 5*z + 3*h, 0 = -5*h. Factor -p**z + 0 + 0*p + b*p**2.
-p**2*(4*p - 1)/4
Let r(s) be the third derivative of s**6/260 + s**5/78 + s**4/156 - s**3/39 + 17*s**2. Factor r(x).
2*(x + 1)**2*(3*x - 1)/13
Let x(y) be the second derivative of 0 + 0*y**5 + 2/3*y**2 + 7*y - 2/9*y**4 + 2/45*y**6 + 0*y**3. Suppose x(p) = 0. Calculate p.
-1, 1
Factor 0*o**2 + 1/2 + 3/4*o - 1/4*o**3.
-(o - 2)*(o + 1)**2/4
Let y(w) = -17*w**2 - 11*w + 6. Suppose 0 = o + o - 22. Let v(q) = 9*q**2 + 6*q - 3. Let l(i) = o*v(i) + 6*y(i). Factor l(b).
-3*(b - 1)*(b + 1)
Let v = 496/35 + -95/7. Find s such that 3/5*s + v*s**5 - 12/5*s**4 - 12/5*s**2 + 0 + 18/5*s**3 = 0.
0, 1
Let x = -6 + 0. Let z be (-16)/(-6) + 4/x. Factor 3*k**2 + 2*k - 4*k**z - k**2.
-2*k*(k - 1)
Let i(f) be the third derivative of -5*f**2 + 0 + 0*f**4 - 1/1176*f**8 + 2/735*f**7 + 0*f**3 + 0*f - 1/420*f**6 + 0*f**5. Factor i(u).
-2*u**3*(u - 1)**2/7
Suppose 8*b = 3*b + 15. Suppose -16/5*q**2 + 0 + 6/5*q**4 + 8/5*q + 2/5*q**b = 0. What is q?
-2, 0, 2/3, 1
Let k(l) be the second derivative of -l**7/135 + l**6/45 - l**5/90 - l**4/54 + 3*l**2 + 6*l. Let y(m) be the first derivative of k(m). Factor y(w).
-2*w*(w - 1)**2*(7*w + 2)/9
Let p(z) be the second derivative of 0 - 2/3*z**3 - z**2 + 6*z + 1/15*z**6 + 1/5*z**5 + 0*z**4. Factor p(b).
2*(b - 1)*(b + 1)**3
Let v(i) be the second derivative of 3*i**2 + 0 - 1/4*i**4 + 1/2*i**3 - 3*i. Factor v(y).
-3*(y - 2)*(y + 1)
Let u be (60/90)/(1/6). Factor 0*o + 2/13*o**3 + 0 + 0*o**2 - 6/13*o**5 - 4/13*o**u.
-2*o**3*(o + 1)*(3*o - 1)/13
Let s = -61 + 314/5. Let a(k) be the second derivative of 2/5*k**3 - s*k**2 - 3*k + 0 - 1/30*k**4. Let a(j) = 0. Calculate j.
3
Let p(q) be the third derivative of 2*q**2 + 0 + 0*q**5 - 1/108*q**4 + 0*q**3 + 0*q + 1/540*q**6. Factor p(c).
2*c*(c - 1)*(c + 1)/9
Let m(s) = -2*s**5 - 5*s**4 + 5*s**2 + 5*s - 5. Let t = -14 - -12. Let f(h) = h**5 + 2*h**4 - 2*h**2 - 2*h + 2. Let k(y) = t*m(y) - 5*f(y). Factor k(q).
-q**5
Factor -2/9*h**4 - 2/3*h**3 - 2/3*h**2 + 0 - 2/9*h.
-2*h*(h + 1)**3/9
Factor 8*d - 23*d**3 - 4*d**4 + 5*d**2 - d**2 - 8*d**4 + 7*d**3.
-4*d*(d + 1)**2*(3*d - 2)
Let u = -461/3 - -155. Let x = 2/687 + 2288/687. Factor -u - 2*q**2 + x*q.
-2*(q - 1)*(3*q - 2)/3
Let a(w) = 4*w**2 - 3. Let r(t) = t**2. Let j(k) = -a(k) + 3*r(k). Let b(f) = 6*f**2 + f - 16. Let p(y) = 4*b(y) + 22*j(y). Suppose p(x) = 0. Calculate x.
-1
Factor 36*p**2 + 9*p**4 - 44*p**2 - p**4 + 4*p - 4*p**5.
-4*p*(p - 1)**3*(p + 1)
Let y = -54 + 57. Let w(h) be the third derivative of 0*h - 1/144*h**4 + h**2 + 0*h**y + 0*h**5 + 1/720*h**6 + 0. Factor w(t).
t*(t - 1)*(t + 1)/6
Let o(y) be the second derivative of y**7/420 - y**3/2 - y. Let k(f) be the second derivative of o(f). Factor k(q).
2*q**3
Let n(u) be the third derivative of -u**7/105 - u**6/10 + 4*u**5/15 + u**4/2 - 7*u**3/3 - 2*u**2 - 8. What is s in n(s) = 0?
-7, -1, 1
Let k be (-1)/(-3*(-3)/(-36)). Let m(v) be the second derivative of 0*v**3 - 1/50*v**5 - 1/150*v**6 + 0*v**2 + 2*v - 1/60*v**k + 0. Find u, given that m(u) = 0.
-1, 0
Suppose -l = 4*s + 3*l - 24, 5*s + 3*l = 22. Factor -s - 5*r**2 + 0*r + 0*r**2 + 7*r.
-(r - 1)*(5*r - 2)
Solve 44*z + 196 - 50*z**2 + 54*z**2 + 12*z = 0 for z.
-7
Suppose 0 = w - 1 + 4, 3*r - 5*w - 21 = 0. Solve -3*b**3 - r*b - 2*b + 4*b = 0.
0
Let t be -9*2/18*-3. Factor 2/3*w**4 + 2/3 + 4*w**2 + 8/3*w + 8/3*w**t.
2*(w + 1)**4/3
Let x(a) = -1. Let u(j) = -2*j**2 - 6*j + 2. Let s(t) = -u(t) - 2*x(t). Solve s(r) = 0.
-3, 0
Let m(c) = -c**3 - 6*c**2 + 5. Let x be m(-6). Suppose 0 = 2*n - x*n. Factor n*t - 4/7*t**2 + 2/7*t**4 + 0 + 2/7*t**3.
2*t**2*(t - 1)*(t + 2)/7
Let x(c) = -c**3 + 2*c**2 + 2. Let a be x(2). Suppose -f - a*f + 12 = 0. Determine u so that -2/3*u - 4*u**3 + 0 - 2/3*u**5 + 8/3*u**f + 8/3*u**2 = 0.
0, 1
Let z(l) be the first derivative of 3/4*l**4 + 6*l - 3/2*l**2 + 3/5*l**5 - 3 - 3*l**3. Factor z(a).
3*(a - 1)**2*(a + 1)*(a + 2)
Suppose 5*s + 3*q - 3 = 0, 4*s - 26 = 5*q + 6. Let r(h) be the second derivative of -1/18*h**4 + h - 1/9*h**s + 0*h**2 + 0. Determine y so that r(y) = 0.
-1, 0
Let u(v) be the third derivative of -4*v**7/735 - v**6/20 - 3*v**5/140 + 5*v**4/168 - v**2 + 20. Let u(t) = 0. Calculate t.
-5, -1/2, 0, 1/4
Let l(i) be the third derivative of 0*i**3 + 0 + 1/448*i**8 + 0*i**4 + 0*i - 1/280*i**7 + 0*i**6 - 7*i**2 + 0*i**5. Factor l(j).
3*j**4*(j - 1)/4
Let r(x) = -x**4 - 7*x**3 + 19*x**2 - 19*x + 8. Let y(o) = o**4 - o**2 + o - 1. Let z(c) = r(c) + 2*y(c). What is d in z(d) = 0?
1, 2, 3
Let j(x) be the first derivative of 2*x**6/21 + 52*x**5/35 + 60*x**4/7 + 64*x**3/3 + 128*x**2/7 - 29. Find m, given that j(m) = 0.
-4, -1, 0
Let c(k) be the first derivative of -4*k**3/3 + 5*k - 3. Let d(g) = g**2 - 1. Let v(a) = 2*c(a) + 10*d(a). Let v(t) = 0. Calculate t.
0
Let i(l) be the first derivative of -l**7/1680 - l**6/720 + l**3 + 4. Let a(n) be the third derivative of i(n). Solve a(y) = 0 for y.
-1, 0
Suppose -6*u - 24 + 54 = 0. Factor 2*c**4 - 4*c**3 + 4*c**2 - 2*c + 2/5 - 2/5*c**u.
-2*(c - 1)**5/5
Let x be 61/9 + (-12)/(-54). Suppose -4*o = -x*o. Factor o + 0*h**4 + h**5 + h**4 + 0.
h**4*(h + 1)
Let n be (3/(-4))/((-1386)/112). Let a(s) be the first derivative of 2 + 2/11*s - 2/11*s**2 + n*s**3. Factor a(q).
2*(q - 1)**2/11
Let b(p) be the first derivative of 4*p**5 - 23*p**4 + 40*p**3 - 8*p**2 - 32*p - 1. Suppose b(z) = 0. What is z?
-2/5, 1, 2
Let w be 669/(2 + (-805)/(-10)). Let b = w + -76/11. Factor 0*v - 2/5*v**2 - 4/5*v**3 + 0 + b*v**4.
2*v**2*(v - 1)*(3*v + 1)/5
Let i(w) = -w**2 - w. Let o(r) be the second derivative of 0*r**2 + 1/12*r**4 - 2*r + 1/6*r**3 + 0. Let d(g) = -3*i(g) - o(g). Let d(u) = 0. Calculate u.
-1, 0
Let p(z) = -2*z**3 + 2*z**2 + 2*z + 5. Let l(d) = -d**3 + d**2 + d + 2. Suppose 28 = -0*n + 4*n. Let f(r) = n*l(r) - 3*p(r). Factor f(o).
-(o - 1)**2*(o + 1)
Let f(w) = -3*w**4 + 6*w**3 - 17*w**2 - 23*w + 20. Let i(z) = z**4 - 2*z**3 + 6*z**2 + 8*z - 7. Let y(c) = 6*f(c) + 17*i(c). Factor y(s).
-(s - 1)**3*(s + 1)
Let p(b) be the second derivative of -b**4/28 - 4*b**3/7 - 3*b**2/2 - 6*b. Factor p(c).
-3*(c + 1)*(c + 7)/7
Suppose 20*a - 17*a = 0. Factor 3/2*r + 3/4*r**2 + a - 3/4*r**3.
-3*r*(r - 2)*(r + 1)/4
Factor -7*v**3 - 7*v**3 - 3*v + 3 - 3*v**2 + 17*v**3.
3*(v - 1)**2*(v + 1)
Let h = -2504 - -32584/13. Factor -8/13*a - h*a**2 + 0 - 14/13*a**3.
-2*a*(a + 2)*(7*a + 2)/13
Let p(v) be the first derivative of -v**7/945 - v**6/270 + v**4/54 + v**3/27 - v**2 + 2. Let t(d) be the second derivative of p(d). Solve t(w) = 0 for w.
-1, 1
Let i = 1/1056 + 18995/13728. Let 22/13*a**2 + 0 + 4/13*a + i*a**3 = 0. What is a?
-1, -2/9, 0
Let b(t) = 13*t - 10. Let i be b(1). Factor -5/4*d**i - 1/2*d**2 + 0*d + 7/4*d**4 + 0.
d**2*(d - 1)*(7*d + 2)/4
Suppose -5*z + 2*t - 4 = 0, 3*t - 6 = 2*z + 2*z. Suppose z = -3*n, 4*j + 2*n + 3 = 5*j. Let -6/7*w + 2/7 - 2/7*w**j + 6/7*w**2 = 0. What is w?
1
Let g be (8 + -8)/((-4)/2). Let q(b) be the first derivative of 1/8*b**4 + 1 - 1/4*b**2 + 0*b + g*b**3. What is s in q(s) = 0?
-1, 0, 1
Let y be (-1)/(1 - 6/4). Let v be 4 + (y + 1)/3. Suppose w**2 + 2*w**2 + 3*w**3 - 4*w**2 + 9*w**4 - 27*w**v = 0. Calculate w.
-1/3, 0, 1/3
Factor 0*a + 0 + 16/7*a**3 - 32/7*a**2 - 2/7*a**4.
-2*a**2*(a - 4)**2/7
Let l(r) = 13*r**2 - 197*r + 1157. Let j(n) = -6*n**2 + 98*n - 578. Let c(q) = 5*j(q) + 2*l(q). Find b, given that c(b) = 0.
12
Let k(v) be the first derivative of 1/1620*v**6 + 0*v**2 + 3 + 0*v - v**3 - 1/135*v**5 + 1/27*v**4. Let x(j) be the third derivative of k(j). Factor x(q).
2*(q - 2)**2/9
Factor -7/3*c**3 + 0 + 3*c**2 - 2/3*c.
-c*(c - 1)*(7*c - 2)/3
Let -3/4*x**3 + 0 + x + 0*x**2 + 1/4*x**4 = 0. What is x?
-1, 0, 2
Let h be 0/(-3*3/(-3)). Factor 19*k**3 + 2*k**2 - 21*k**3 + h*k**2.
-2*k**2*(k - 1)
Let x(n) be the second derivative of n**8/112 - n**7/35 + n**6/40 - n**2/2 + n. Let o(w) be the first derivative of 