y in v(y) = 0?
-2, 0
Let g(o) = -9*o + 5*o + 5*o + 2. Let n be g(2). Factor -2*d**2 - 2/5*d**n - 8/5*d**3 + 0 - 4/5*d.
-2*d*(d + 1)**2*(d + 2)/5
Let x(s) be the second derivative of -s**7/441 - s**6/315 + s**5/70 + 5*s**4/126 + 2*s**3/63 - 26*s. Factor x(m).
-2*m*(m - 2)*(m + 1)**3/21
Let k(d) = -d**3 + 7*d**2 + 2. Let l be k(7). Suppose 2*p - 1 = n - p, 0 = -2*n + 2*p + l. Factor 1/4*h**n + 0 + 0*h + 1/2*h**3.
h**2*(2*h + 1)/4
Suppose -12*d**2 - 8 + 17*d**4 + 28*d**3 - 10*d**4 - 40*d + 13*d**4 + 12*d = 0. Calculate d.
-1, -2/5, 1
Let u(s) be the second derivative of s**7/28 - 11*s**6/120 - s**5/40 + s**4/4 + 2*s**3/3 + 10*s. Let p(d) be the second derivative of u(d). Factor p(c).
3*(c - 1)*(2*c - 1)*(5*c + 2)
Let a = 79 - 155/2. Factor a*u**3 + 0*u + 0 + 0*u**2 - 3/2*u**5 + 0*u**4.
-3*u**3*(u - 1)*(u + 1)/2
Let y(t) be the second derivative of -t + 1/75*t**6 - 1/30*t**4 + 1/50*t**5 + 0 - 1/15*t**3 + 0*t**2. Factor y(r).
2*r*(r - 1)*(r + 1)**2/5
Let w = 1198 + -7187/6. Suppose -2*u + 3*c + 2 = 0, 3*u - 6 - 4 = c. Factor -7/6*s - 13/6*s**3 - 2/3*s**u - 5/2*s**2 - w.
-(s + 1)**3*(4*s + 1)/6
Factor 1/2 + 5/4*z + 1/4*z**3 + z**2.
(z + 1)**2*(z + 2)/4
Let n(b) be the first derivative of -1/6*b**4 - 4/9*b**3 + 1/5*b**5 + 1/3*b + 1/3*b**2 + 2. Find u, given that n(u) = 0.
-1, -1/3, 1
Suppose x - 2*s = -9, -x + s - 3*s + 11 = 0. Suppose -x + 13 = 4*z. Let -3*v**2 + 2 + z*v**2 - 2*v**2 = 0. What is v?
-1, 1
Factor 8*y + 20 + 4/5*y**2.
4*(y + 5)**2/5
Let s be ((-31)/186)/((-2)/8). Factor 0*w + s - 1/6*w**2.
-(w - 2)*(w + 2)/6
Suppose z = 5*b - 12, 0*z - 4*b = -5*z + 3. Find h, given that -z*h + 3/4*h**4 - 3*h**3 + 9/2*h**2 + 3/4 = 0.
1
Suppose 18/5 + 2/15*i**3 + 6/5*i**2 + 18/5*i = 0. Calculate i.
-3
Let p(m) be the second derivative of -m**7/231 + m**5/55 - m**3/33 + 24*m + 2. Factor p(s).
-2*s*(s - 1)**2*(s + 1)**2/11
Let k be (-4)/6 - 32/(-12). Factor 0 - 2/5*x**4 + 0*x + 0*x**3 + 2/5*x**k.
-2*x**2*(x - 1)*(x + 1)/5
Suppose -7*b = -7 - 7. Factor 4*z + 4*z**3 - 5*z - 3*z + 3 + 1 - 4*z**b.
4*(z - 1)**2*(z + 1)
Let b be 0/(4/(-4) + 3). Let d(s) be the third derivative of 0 + 1/24*s**4 + 0*s**5 + s**2 + 0*s - 1/120*s**6 + b*s**3. Determine k, given that d(k) = 0.
-1, 0, 1
Let v(x) be the second derivative of -2*x**4 - 3/5*x**6 + 0*x**2 + 0*x**3 + 6*x + 9/5*x**5 + 1/14*x**7 + 0. Factor v(h).
3*h**2*(h - 2)**3
Factor 4/3*c**3 - 2/3*c**5 + 0*c**2 + 0*c**4 - 2/3*c + 0.
-2*c*(c - 1)**2*(c + 1)**2/3
Let h be 35/(-30) + (-1)/(-6). Let y be h/4 - 48/(-64). Factor y*g**3 - 1/4*g**4 + 1/4 - 1/2*g + 0*g**2.
-(g - 1)**3*(g + 1)/4
Factor 1/4*p**4 + 0 - 1/4*p**3 + 0*p**2 + 0*p.
p**3*(p - 1)/4
Let d(j) = 2*j + j - 2 + 0*j + 1. Let w be d(1). Factor 3/2*c**w + 1/2*c**4 - 1/2*c + 0 - 3/2*c**3.
c*(c - 1)**3/2
Let l(t) be the first derivative of t**5 - 15*t**4/4 + 10*t**2 - 16. Factor l(g).
5*g*(g - 2)**2*(g + 1)
Determine l, given that l**5 + 12*l - 4 - 48*l**4 + 60*l**4 - 8*l**3 - 5*l**5 - 8*l**2 = 0.
-1, 1
Let u = 221 + -218. Factor -1/6*w**u + 0*w**2 + 0 - 1/6*w**4 + 0*w.
-w**3*(w + 1)/6
Let q(n) be the third derivative of n**8/504 - 2*n**7/315 - n**6/60 + 2*n**5/45 + n**4/9 + 9*n**2. Solve q(a) = 0 for a.
-1, 0, 2
Factor 80*t - 33*t**3 - 16 - 20*t**2 - 11*t**3 + 72*t**2.
-4*(t - 2)*(t + 1)*(11*t - 2)
Let h(n) be the second derivative of -7/36*n**7 + 0*n**6 + 0*n**4 + 0*n**2 - 9*n + 0 - 1/9*n**3 + 53/120*n**5. Find f such that h(f) = 0.
-1, -2/7, 0, 2/7, 1
Let g be 2/11 - 1264/6226. Let j = g + 1764/3113. What is c in -2/11 - 2/11*c**3 - 6/11*c - j*c**2 = 0?
-1
Let w(f) be the first derivative of 1/10*f**2 + 0*f - 3 + 1/15*f**3. Let w(o) = 0. What is o?
-1, 0
Let p be -10 + 8 - 10/(-3). What is q in p*q**2 - 1/3 - q = 0?
-1/4, 1
Let h(b) be the second derivative of b**4/42 - 8*b**3/21 + 16*b**2/7 + 3*b. Solve h(z) = 0 for z.
4
Let 10*m**2 + m**5 + 0*m**5 - 3*m**4 - 11*m**2 + 3*m**3 = 0. Calculate m.
0, 1
Factor 0*w - 10*w + 10*w + 2*w**3 - 2*w**2.
2*w**2*(w - 1)
Let v = -1 - 3. Let k = -2 - v. Let c + c + c**k - c = 0. What is c?
-1, 0
Let r(s) = -64*s**4 + 246*s**3 - 336*s**2 + 22*s + 202. Let d(x) = 9*x**4 - 35*x**3 + 48*x**2 - 3*x - 29. Let f(z) = 44*d(z) + 6*r(z). Factor f(c).
4*(c - 2)**3*(3*c + 2)
Let n(g) = -g**2 + 2*g + 17. Let h be n(5). Let y(b) be the first derivative of 2 + 3/2*b**3 + 7/8*b**4 - 3*b**h - 2*b. Factor y(l).
(l - 1)*(l + 2)*(7*l + 2)/2
Suppose -21*j + 93 - 30 = 0. Let 2/13*l**j + 4/13 - 6/13*l + 0*l**2 = 0. What is l?
-2, 1
Let x(o) be the second derivative of -o**6/225 + o**5/150 + o**4/15 - 19*o. Factor x(f).
-2*f**2*(f - 3)*(f + 2)/15
Let f(k) = -2*k**2 - 8*k - 1. Let d(s) = s**2 + 4*s + 1. Let c(w) = 7*d(w) + 3*f(w). What is h in c(h) = 0?
-2
Let u(j) = 2*j**2 + j - 1. Let i be u(1). Suppose -3*v - 5*m = 4, -2*m + 3 - 1 = 3*v. Find a, given that a**2 + 3*a**2 - 2*a**v - i*a = 0.
0, 1
Let p(o) = 3*o**2 - o - 1. Let v be p(-1). Let s(f) be the second derivative of 3*f + 1/12*f**4 + 1/3*f**v + 0*f**2 + 0. Determine a so that s(a) = 0.
-2, 0
Let c = -1/38 + 41/114. Suppose -2 = -5*d + 18. Factor -2/3*l + l**d + 2/3*l**3 + c - 4/3*l**2.
(l - 1)*(l + 1)**2*(3*l - 1)/3
Let r be 3/(-3 - 18/(-4)). Factor -r + i**4 - 2*i**3 + 15*i - 11*i + i**4 - 2*i**3.
2*(i - 1)**3*(i + 1)
Let n(w) = 3*w + 2*w**2 + 3 - 2*w**2 - w**2. Let i be n(3). Factor s**3 + 2*s**4 + 6*s - 4*s - 3*s**i - 2*s**2.
2*s*(s - 1)**2*(s + 1)
Let g = 51/5 - 48/5. Suppose 0 + 3/5*v**3 - g*v + 0*v**2 = 0. What is v?
-1, 0, 1
Let v(y) be the third derivative of y**6/60 - y**5/10 + y**4/4 - y**3/3 - 6*y**2. Factor v(r).
2*(r - 1)**3
Let r be ((1 - 0) + 2)*8/84. Let -2/7*p**2 + 2/7*p + 2/7 - r*p**3 = 0. What is p?
-1, 1
Let o = -35 - -35. Factor o*q + 3*q**2 + 0*q**3 - 3/2*q**4 - 3/2.
-3*(q - 1)**2*(q + 1)**2/2
Let v(i) = -3*i + 5. Let l be v(2). Let f be (-2 - -2)*1/l. Factor -2/3*k**2 + 0 + 0*k + 2/3*k**4 + f*k**3.
2*k**2*(k - 1)*(k + 1)/3
Let w(c) be the third derivative of c**5/210 - c**4/84 - 4*c**3/7 + c**2. Determine q so that w(q) = 0.
-3, 4
Let i(f) = -f**3 - f + 1. Let d(n) = 3*n**3 + 30*n**2 - 145*n + 245. Let z(g) = -d(g) - 5*i(g). Factor z(b).
2*(b - 5)**3
Suppose -3*k - 2*r - 118 = 0, -k - 3*r = -r + 38. Let j = k + 42. Determine o, given that 0 + 2/3*o**j + 0*o + 1/3*o**3 = 0.
-2, 0
Let -b**4 + 3*b**5 - 5*b**5 - 3*b**5 + 4*b**5 = 0. Calculate b.
-1, 0
Let n(v) be the third derivative of -v**5/150 + 2*v**4/15 - 16*v**3/15 - 13*v**2. Determine a, given that n(a) = 0.
4
Let u(k) be the first derivative of 6*k - 3/4*k**4 - 2*k**3 + 5 + 3/2*k**2. Factor u(l).
-3*(l - 1)*(l + 1)*(l + 2)
Let x(d) be the first derivative of 2*d**3/9 - d**2/3 - 28. Factor x(i).
2*i*(i - 1)/3
Find w, given that 2*w**2 - 2*w - w**3 - 2*w - 2*w**3 + 5*w**3 = 0.
-2, 0, 1
Suppose 2*p = -p + 9. Let v(b) = 2 + b**3 + b - 2*b**3 - p. Let o(f) = -4*f**3 + 2*f**2 + 6*f - 5. Let c(q) = -2*o(q) + 10*v(q). Suppose c(h) = 0. What is h?
-1, 0
Let y be (-22)/(-8) - 48/64. Solve -4/3*m**3 + 0 + 4/9*m - 2/3*m**y + 10/9*m**4 + 4/3*m**5 = 0 for m.
-1, 0, 1/2, 2/3
Let b(u) = u**2 + 6*u + 3. Let f be b(0). Let -9*m**4 + 136/3*m**2 + 16/3 + 9*m**5 - 80/3*m - 24*m**f = 0. What is m?
-2, 2/3, 1
Let r(i) be the second derivative of -i**6/90 + i**5/30 + i**4/18 - 3*i**2/2 + 4*i. Let k(j) be the first derivative of r(j). Find l such that k(l) = 0.
-1/2, 0, 2
Let d(f) = 1. Let j(w) = -w**3 - 2*w**2 - w + 7. Let v(m) = -14*d(m) + 2*j(m). Find s such that v(s) = 0.
-1, 0
Let y(f) be the third derivative of -3*f**2 + 1/330*f**5 - 5/132*f**4 + 0*f + 0 + 4/33*f**3. Factor y(q).
2*(q - 4)*(q - 1)/11
Let t(m) be the second derivative of -m**6/6 + m**5/4 + 5*m**4/4 - 5*m**3/6 - 5*m**2 - 50*m. Factor t(g).
-5*(g - 2)*(g - 1)*(g + 1)**2
Suppose 8*j - 15 = 3*j. Factor 18*k**3 - 6*k + 33*k**2 - 21*k**j - 26*k**3 - 7*k**3.
-3*k*(3*k - 2)*(4*k - 1)
Let x(c) be the first derivative of 1 + 1/14*c**2 + 1/7*c - 1/28*c**4 - 1/21*c**3. Factor x(a).
-(a - 1)*(a + 1)**2/7
Let c(w) be the third derivative of -1/54*w**4 + 0*w + 1/270*w**5 + 1/27*w**3 + 0 - 2*w**2. Solve c(u) = 0 for u.
1
Suppose -3*l - 4 = 4*c, -5*c - 2*l - 2 = l. Let u(m) = -m**3 - 3*m**2. Let f be u(-3). Factor -d - 4*d**c + 5*d**2 + f*d**2.
d*(d - 1)
Let l be (2 + (-28)/20)*2. Let y(t) be the first derivative of 0*t**4 + 0*t**2 + 2/3*t**3 + 1 - l*t**5 + 2/3*t**6 + 0*t. Factor y