b(0). Let t = g - 22. Solve -1/3*f**3 + 1/3*f**2 - 1/3*f**4 + t*f + 1/3*f**5 + 0 = 0.
-1, 0, 1
Determine o, given that -10*o**4 + 20*o**4 - 8*o**4 + 8 - 8*o - 6*o**2 + 4*o**3 = 0.
-2, 1
Let y be 0 - (25/(-50))/((-5)/(-4)). Let b(r) be the first derivative of -4 + 2/3*r**3 + y*r**5 - r**4 + 0*r**2 + 0*r. Find x, given that b(x) = 0.
0, 1
Let x be ((-8)/5)/((-30)/75). Factor 2/11 - 2/11*y**x - 4/11*y**3 + 0*y**2 + 4/11*y.
-2*(y - 1)*(y + 1)**3/11
Let j(o) be the second derivative of 13/3*o**4 + 0*o**2 + o + 0 - 33/10*o**5 + 7/6*o**7 - 4/3*o**3 - 77/30*o**6. Let j(k) = 0. What is k?
-1, 0, 2/7, 2
Let l(p) = p**3 - 6*p**2 - 7*p + 3. Let y be l(7). Factor 2*u**3 - 3*u**2 + 4*u**3 - 9*u**2 - 4*u + u**y.
u*(u - 2)*(7*u + 2)
Let r be (88/4 - 0)/(-2). Let k be (-72)/(-154) - (-2)/r. Factor 0 + 4/7*u + k*u**2.
2*u*(u + 2)/7
Let y = 951 + -3951/4. Let q = y - -37. Factor 1/2*c + 0 + q*c**2.
c*(c + 2)/4
Let n(s) = -6*s + 18. Let b be n(2). Let m(l) be the first derivative of 0*l**3 + l**4 - l**2 + 0*l - 1/3*l**b - 4 + 0*l**5. Factor m(z).
-2*z*(z - 1)**2*(z + 1)**2
Let r be 4 + (-3)/(45/48). Let j(a) be the second derivative of 21/50*a**5 + 0 - a + 49/75*a**6 - r*a**4 + 4/15*a**3 + 0*a**2. Suppose j(h) = 0. Calculate h.
-1, 0, 2/7
Let h(m) be the first derivative of 0*m**4 + 0*m**2 + 0*m - 3 - m**3 + 0*m**6 - 1/840*m**7 + 1/120*m**5. Let b(u) be the third derivative of h(u). Factor b(c).
-c*(c - 1)*(c + 1)
Let v(r) be the third derivative of r**8/3360 - 5*r**4/24 - 2*r**2. Let y(b) be the second derivative of v(b). Factor y(a).
2*a**3
Let z(s) be the third derivative of s**6/480 - 6*s**2. Factor z(l).
l**3/4
Let o = 111 + -332/3. Factor 0*c**2 + 1/3*c + 0 - o*c**3.
-c*(c - 1)*(c + 1)/3
Let w(v) be the second derivative of -v**6/70 - 3*v**5/140 + 4*v. Determine h so that w(h) = 0.
-1, 0
Let u(i) = -i**3 + 13*i**2 + 2. Let o be u(13). Factor o*f - f + f - 2*f**2.
-2*f*(f - 1)
Let l(u) be the second derivative of -u**7/336 + u**6/80 - u**5/160 - u**4/32 + u**3/24 - u. Determine s so that l(s) = 0.
-1, 0, 1, 2
Let o(w) be the second derivative of -w**6/90 + w**5/60 + w**4/12 - w**3/18 - w**2/3 + 19*w. Solve o(m) = 0 for m.
-1, 1, 2
Let y(b) = 12*b**3 + 18*b**2 - 4. Let m(p) = -49*p**3 - 73*p**2 + p + 16. Let w(z) = -4*m(z) - 18*y(z). Find j such that w(j) = 0.
-1, 2/5
Factor 0*k + 1/2*k**5 - 1/2*k**4 + 1/2*k**2 - 1/2*k**3 + 0.
k**2*(k - 1)**2*(k + 1)/2
Let y = -356 - -1088/3. Let f(d) be the first derivative of 8/3*d + 14/3*d**3 + 2 - y*d**2. Suppose f(x) = 0. What is x?
2/7, 2/3
Let u(a) = -a**2 + 9*a - 4. Let b be u(8). Find j such that -b - 3*j - 2*j**3 - 8*j**2 - 7*j + 0 = 0.
-2, -1
Let f be 3 + (2/(-6))/(1/3). Factor 4/3*h + h**f - 4/3 - 2/3*h**3 - 1/3*h**4.
-(h - 1)**2*(h + 2)**2/3
Determine w so that -w - w - 2*w**2 + 20*w = 0.
0, 9
Let f be (-50)/17 - 3/(-1). Let i = 14/51 + f. Suppose -2/3*r - 1/3 - i*r**2 = 0. Calculate r.
-1
Let k(p) be the first derivative of 1/5*p**5 + 19/9*p**3 - 8 - 11/6*p**2 + 2/3*p - 13/12*p**4. Factor k(b).
(b - 2)*(b - 1)**2*(3*b - 1)/3
Let x be (4 - 4) + (2 - 0). Factor 0*u + u**5 - u + 0*u + 2*u**4 - 2*u**x.
u*(u - 1)*(u + 1)**3
Suppose -4*b = -3*v + 6 - 0, -5*b = 0. Determine t, given that 2/7*t**4 + 2/7*t**3 - 6/7*t**v + 4/7 - 2/7*t = 0.
-2, -1, 1
Let v(c) = c**3 - 4*c**2 - 7*c - 10. Let r be v(6). Let g be (-2)/(-3)*50/r. Factor 5/3*t + 10/3*t**3 + 1/3*t**5 - 1/3 - 10/3*t**2 - g*t**4.
(t - 1)**5/3
Let f(w) = -4*w**2 + 12*w + 16. Let b = -12 - -2. Let g(i) = i**2 - 4*i - 5. Let h(d) = b*g(d) - 3*f(d). Factor h(j).
2*(j + 1)**2
Let k(n) = n**3 - 2*n**2 - n + 2. Let i be k(2). Suppose 0*r + 1 = -4*t - 3*r, i = -5*t - r + 7. Find v such that 4*v**3 - t*v**3 - 3*v**3 = 0.
0
Let r(w) be the first derivative of -2 - 2/65*w**5 + 0*w + 1/13*w**2 + 3/26*w**4 - 2/13*w**3. Factor r(d).
-2*d*(d - 1)**3/13
Let h(t) be the third derivative of 7/480*t**6 - 1/24*t**3 + 0*t**7 + 0*t + 1/240*t**5 - 1/32*t**4 - 1/336*t**8 + t**2 + 0. Let h(c) = 0. What is c?
-1, -1/2, 1
Let w(c) = 2*c**2 - 6*c. Let d(m) = 7*m + 3*m**2 - 10*m - 8*m. Let a(o) = -2*d(o) + 5*w(o). Determine j so that a(j) = 0.
0, 2
Let d be (-14)/6 - (6 + (-45)/5). Solve 0 + 2/3*m**2 + d*m = 0 for m.
-1, 0
Let j(s) = 3*s**3 + s**2 + s + 3. Suppose -i + 6 = -4*i. Let z(g) = -g**3 - g**2 - g - 1. Let u be (3 - 6) + (-2 - -4). Let l(o) = i*z(o) + u*j(o). Factor l(w).
-(w - 1)**2*(w + 1)
Let q(o) be the first derivative of 9*o**4/32 + 5*o**3/8 + 3*o**2/16 - 3*o/8 + 6. Factor q(t).
3*(t + 1)**2*(3*t - 1)/8
Let i(p) = 2*p - 4. Let q be i(3). Suppose y**q + 4*y - y**2 - 3*y**2 - 3*y**2 + 2*y**4 = 0. What is y?
-2, 0, 1
Let q(s) be the second derivative of -s**7/105 - 2*s**6/75 + 3*s**5/50 + 2*s**4/15 - 4*s**3/15 + 7*s. Determine k, given that q(k) = 0.
-2, 0, 1
Let v = 15 + -13. Find i such that -2/7 + 0*i + 2/7*i**v = 0.
-1, 1
Factor -2/3*p - 2/9*p**2 + 0.
-2*p*(p + 3)/9
Let u(a) be the third derivative of a**7/525 + a**6/100 + a**5/50 + a**4/60 - 3*a**2. Suppose u(f) = 0. What is f?
-1, 0
Let i(l) be the first derivative of 1/12*l**4 + 0*l + 1/15*l**5 + 0*l**2 + 0*l**3 + 3. Determine m so that i(m) = 0.
-1, 0
Factor 1/5*r - 2/5 + 1/5*r**2.
(r - 1)*(r + 2)/5
Let n = -5 + 7. Let a(y) = 2*y - 2. Let g be a(n). Solve -3*x**3 - g*x - x**4 + 5*x**2 - x**2 + x**5 + x**2 = 0 for x.
-2, 0, 1
Find i, given that -8/7*i**5 - 6*i**4 - 4/7 - 74/7*i**2 - 82/7*i**3 - 30/7*i = 0.
-2, -1, -1/4
Factor -m**2 + m - 3*m - 2*m**4 + 2*m**2 + 2*m**3 + m**2.
-2*m*(m - 1)**2*(m + 1)
Let r(o) be the first derivative of 1/30*o**3 + 0*o**2 + 1 + o - 1/30*o**4 + 1/100*o**5. Let t(z) be the first derivative of r(z). Suppose t(f) = 0. What is f?
0, 1
Factor 16*j**2 - 12*j**2 - 3 - 2*j**4 + 1.
-2*(j - 1)**2*(j + 1)**2
Let l(n) be the third derivative of -2*n**7/735 + n**5/35 + n**4/21 - 7*n**2. Determine m so that l(m) = 0.
-1, 0, 2
Let s(b) = -b**2 - 6*b + 10. Let t be s(-7). Let z be 5/2 - t/6. Factor 0*f**4 - 2/7*f**5 + 0*f + 0 + 2/7*f**3 + 0*f**z.
-2*f**3*(f - 1)*(f + 1)/7
Suppose 5*u - 3*u = 6. Let k be -4*(1 + (-3)/2). Determine f, given that k*f**2 + 4*f + f - u*f = 0.
-1, 0
Let o be 1/1 - (-167)/(-168). Let m(j) be the second derivative of -1/40*j**5 + 2*j + 0*j**2 + 0*j**6 + 0 + o*j**7 + 1/24*j**3 + 0*j**4. Factor m(n).
n*(n - 1)**2*(n + 1)**2/4
Let j be 3/8*(-132)/(-22). Factor -3/2 - j*q - 3/4*q**2.
-3*(q + 1)*(q + 2)/4
Suppose -5/2*x**5 + 5*x + 0 - 5/2*x**3 + 15/2*x**4 - 15/2*x**2 = 0. Calculate x.
-1, 0, 1, 2
Let d(m) be the first derivative of -4*m**5/45 + 4*m**4/3 - 88*m**3/27 - 56*m**2/3 - 196*m/9 + 46. Find r, given that d(r) = 0.
-1, 7
Factor -2/9*m**2 - 16/9*m - 32/9.
-2*(m + 4)**2/9
Let u(n) be the first derivative of -3*n**6/13 - 84*n**5/65 - 35*n**4/13 - 8*n**3/3 - 17*n**2/13 - 4*n/13 - 9. Determine q, given that u(q) = 0.
-2, -1, -1/3
Let v(b) = 5*b**3 + 5*b**3 + 0 + 2*b**2 + 9*b + 3. Let n(z) = -7*z**3 - z**2 - 6*z - 2. Let y(w) = 7*n(w) + 5*v(w). Solve y(s) = 0 for s.
-1
Let o be (1/3)/(-1*4/(-36)). Suppose 0 + 2/3*p**5 + 2/3*p + 4*p**o - 8/3*p**2 - 8/3*p**4 = 0. Calculate p.
0, 1
Let v(b) = -b**2 + b + 2. Let g(y) = 4*y**2 - 6*y - 10. Let s(d) = -2*g(d) - 12*v(d). Factor s(z).
4*(z - 1)*(z + 1)
Suppose -o + 5 = -5*n, -o = 3*n - 0*n + 3. Factor 4/9*p**3 + 0 - 2/9*p**2 + o*p - 2/9*p**4.
-2*p**2*(p - 1)**2/9
Let u(t) be the second derivative of 1/6*t**3 + 0 - 1/24*t**4 - 7*t + 0*t**2. Let u(i) = 0. Calculate i.
0, 2
Let g(p) = -p**2 - p + 1. Let n = 4 - 2. Let f(d) = 3 - 4*d + 11*d + 4*d**2 - d. Let b(l) = n*g(l) - 2*f(l). Suppose b(m) = 0. Calculate m.
-1, -2/5
Suppose -2*m + m - 30 = 0. Let y be m/(-135) + (-2)/9. Factor 0*t + 0*t**2 - 9/2*t**4 + y + 3/2*t**5 + 3*t**3.
3*t**3*(t - 2)*(t - 1)/2
Factor -4*b**2 - 3 + 43*b**4 + 3 - 38*b**4 + 8*b**3.
b**2*(b + 2)*(5*b - 2)
Suppose -4*y + 28 = 4*c - y, 2*c = 2*y. Find q such that -11*q**c + q - 17*q**3 - 13*q**4 - 5*q**5 + 3*q + 6*q**4 = 0.
-2, -1, 0, 2/5
Suppose 2*v = 4 + 2. Factor w**3 + 0*w**2 + 2*w**v + 2*w - 3*w**4 + 3*w**2 - 5*w.
-3*w*(w - 1)**2*(w + 1)
Factor 3 - 4*s**4 - 3 + 2*s**5 - 2*s**3 - s**2 + 5*s**2.
2*s**2*(s - 2)*(s - 1)*(s + 1)
What is s in 2*s**2 + 3*s**3 - 526 + 526 + 7*s**2 = 0?
-3, 0
Let o = -2216/7 - -318. Factor -8/7*r - 32/7*r**2 - o*r**3 + 50/7*r**4 + 0.
2*r*(r - 1)*(5*r + 2)**2/7
Let b(y) = y**2 - y - 1. Let w(p) 