et c(r) = r + 5. Let z be (-1 - -1)*1/(-2). Let b be c(z). Factor 6*v**4 - 8*v**2 + 3*v - 2 - 3*v**b + 2 + 2*v**2.
-3*v*(v - 1)**3*(v + 1)
Let l(d) be the third derivative of -d**7/210 - 7*d**6/180 - 23*d**5/180 - 2*d**4/9 - 2*d**3/9 - 6*d**2. What is k in l(k) = 0?
-2, -1, -2/3
Let s = -137 - -1235/9. Factor -s + 2/9*t**4 + 0*t**2 - 4/9*t**3 + 4/9*t.
2*(t - 1)**3*(t + 1)/9
Let j(r) be the third derivative of r**8/60480 - r**7/3024 + r**6/540 + r**5/30 + 4*r**2. Let z(t) be the third derivative of j(t). Factor z(c).
(c - 4)*(c - 1)/3
Let r(j) be the first derivative of -j**5/90 + j**4/36 + 2*j**3/9 + 2*j**2 - 2. Let m(u) be the second derivative of r(u). Solve m(l) = 0.
-1, 2
Let h be 8 + (1 - 3)*2. Let r(a) be the second derivative of -a + 1/21*a**3 + 1/42*a**h - 1/7*a**2 - 1/70*a**5 + 0. Factor r(y).
-2*(y - 1)**2*(y + 1)/7
Let h = -80 + 80. Let r(j) be the third derivative of 0*j**3 + 1/210*j**7 + 0*j - 11/360*j**6 - j**2 + h + 1/18*j**4 + 2/45*j**5. Factor r(n).
n*(n - 2)**2*(3*n + 1)/3
Let z(x) be the second derivative of x**5/4 + 5*x**4/12 + x. Factor z(o).
5*o**2*(o + 1)
Solve g**3 - g + 0*g**2 + 1/2 - 1/2*g**4 = 0 for g.
-1, 1
Let p(g) = -g**3 + 3*g**2 - g. Let t be (9/(-6))/(3/(-4)). Let w be p(t). Factor -4*o**2 - o**3 + 1 - 3*o - w + o**2.
-(o + 1)**3
Let 2/7*x + 1/7*x**2 + 0 - 1/7*x**3 = 0. What is x?
-1, 0, 2
Let y(v) = -4*v**2 - 12*v - 8. Suppose 5*d = d + 20. Let l(w) = 4*w**2 + 12*w + 8. Let x(a) = d*l(a) + 6*y(a). Let x(r) = 0. Calculate r.
-2, -1
Suppose 3*g + 2*p = 0, 0 = g + p - 4*p. Let o(s) be the second derivative of 1/6*s**3 - 1/12*s**4 + g - s + s**2. Determine j so that o(j) = 0.
-1, 2
Let j(f) be the second derivative of 2*f**4/27 + f**3/3 + 2*f**2/9 - 3*f. Factor j(z).
2*(z + 2)*(4*z + 1)/9
Find g such that -3 + g**2 + 12 + 9*g - 3*g = 0.
-3
Let g = -2/691 - -5534/2073. Determine q so that 2/3 + 4*q**2 + g*q**3 + 8/3*q + 2/3*q**4 = 0.
-1
Let o be (1 - (-5 - -10))*(-2)/10. Suppose -4*b = -2*g - 8, -2*b = -4*b + 4*g + 4. Factor -6/5*m - 2/5*m**b - o.
-2*(m + 1)*(m + 2)/5
Suppose 0 = -5*j - 5*v - 5, 0*v = -v - 3. Factor -4/5*p**j + 2/5*p**3 + 2/5*p + 0.
2*p*(p - 1)**2/5
Suppose -3*s = s - 28. What is d in s*d + 4*d**2 - 3*d**2 - 8*d = 0?
0, 1
Let -4/3 + 2/3*d**2 + 2/3*d = 0. Calculate d.
-2, 1
Let v(a) = 10*a**4 + 75*a**3 + 215*a**2 + 245*a + 95. Let r(o) = -5*o**4 - 38*o**3 - 108*o**2 - 122*o - 47. Let w(n) = -5*r(n) - 2*v(n). Factor w(t).
5*(t + 1)**2*(t + 3)**2
Let v(b) be the third derivative of 0*b**6 + 1/6*b**4 + 0*b**3 + 0 - 9*b**2 - 1/84*b**8 + 0*b + 4/105*b**7 - 2/15*b**5. Factor v(y).
-4*y*(y - 1)**3*(y + 1)
Let y(b) be the third derivative of -b**6/30 + 2*b**5/15 + b**4/6 - 4*b**3/3 - 9*b**2. Factor y(t).
-4*(t - 2)*(t - 1)*(t + 1)
Let h(v) be the second derivative of -v**5/90 + v**4/18 - v**3/9 + v**2/2 - v. Let j(i) be the first derivative of h(i). Factor j(y).
-2*(y - 1)**2/3
Let j(c) be the second derivative of -c**6/50 - 3*c**5/50 + c**3/5 + 3*c**2/10 - 10*c. Factor j(n).
-3*(n - 1)*(n + 1)**3/5
Let v(c) be the third derivative of 1/84*c**4 - 1/735*c**7 + 1/140*c**6 + 0*c - 3*c**2 - 1/70*c**5 + 0 + 0*c**3. Factor v(i).
-2*i*(i - 1)**3/7
Let w(f) = f**5 - f**3 + f**2 + f - 1. Let t(u) = -7*u**5 + 6*u**4 + u**3 - 9*u**2 + u + 3. Let o(r) = t(r) + 5*w(r). Factor o(s).
-2*(s - 1)**4*(s + 1)
Let k be (-312)/(-40) + 1/5. Let -4 + k*r - 4*r**2 + 2*r**2 + r**2 - 3*r**2 = 0. Calculate r.
1
Let x be 10/(-50) + (-62)/(-210). Let y(f) be the first derivative of -1 + 0*f**2 - 2/7*f + x*f**3. Suppose y(u) = 0. What is u?
-1, 1
Let f = -2 + 2. Suppose f = -5*w - 2 - 8. Let z(a) = a**3 - a**2 + 5. Let l(x) = 1. Let g(y) = w*z(y) + 10*l(y). Determine v, given that g(v) = 0.
0, 1
Let k be 54/30*2/6. Let m = k - 1/10. Factor 1/2 - m*x**4 + x**3 - x + 0*x**2.
-(x - 1)**3*(x + 1)/2
Let i(x) be the third derivative of x**5/12 - x**2. Let v(r) = 0*r**2 + r**2 + 5*r**2 - 2*r**2. Let u(t) = -5*i(t) + 6*v(t). Factor u(o).
-o**2
Let r(j) be the third derivative of -j**7/1260 - j**6/360 - j**4/8 + j**2. Let c(m) be the second derivative of r(m). Factor c(v).
-2*v*(v + 1)
Solve 0 + 2/9*t + 32/9*t**3 + 16/9*t**2 = 0.
-1/4, 0
Suppose 0 = -2*j + t + 1, -5*t + 4 = 3*j - 30. Factor 7*p**3 + p**j - 5*p**3.
3*p**3
Let -2/5*d**2 + 0 + 2/5*d = 0. What is d?
0, 1
Let u(d) = -20*d - 138. Let p be u(-7). Factor -1/3 - 1/3*s**p + 2/3*s.
-(s - 1)**2/3
Let d(p) be the third derivative of -p**7/1260 + p**6/360 - p**4/4 - 7*p**2. Let u(l) be the second derivative of d(l). Factor u(j).
-2*j*(j - 1)
Let p = 5 + -3. Factor -f**4 - f**3 - 7*f**p + 7*f**2.
-f**3*(f + 1)
What is z in -64 - 5*z**2 + z**2 - 2*z - 22*z - 8*z = 0?
-4
Let s(w) be the second derivative of w**7/126 + 7*w**6/90 + 19*w**5/60 + 25*w**4/36 + 8*w**3/9 + 2*w**2/3 + 7*w. Let s(r) = 0. Calculate r.
-2, -1
Let p = 5/8 - 1/8. Factor p*i**5 - 1/2*i**3 + 1/2*i**4 + 0 + 0*i - 1/2*i**2.
i**2*(i - 1)*(i + 1)**2/2
Suppose 12/5*q**2 + 12/5*q**4 - 4/5 + 6/5*q - 26/5*q**3 = 0. Calculate q.
-1/2, 2/3, 1
Suppose 0 = 4*w + 5*l - 69, -30 = -2*w + l + 1. Suppose 3*u - 4*g - 1 = 0, -4*u + 0*g + w = 2*g. Factor -3*v**2 - v**3 - 4*v**3 - v**u - v**4 - 2*v**4.
-3*v**2*(v + 1)**2
Let l = 1569/68 - 354/17. Factor 0 - 1/2*h**2 + 0*h - l*h**4 - 11/4*h**3.
-h**2*(h + 1)*(9*h + 2)/4
Let u(w) be the third derivative of w**8/840 + w**7/180 + w**6/180 - w**5/60 + w**4/4 - w**2. Let o(m) be the second derivative of u(m). Solve o(r) = 0 for r.
-1, 1/4
Let z(j) be the first derivative of j**4/14 - 2*j**3/21 - j**2/7 + 2*j/7 - 1. Factor z(b).
2*(b - 1)**2*(b + 1)/7
Let x(h) be the first derivative of h**5/10 - h**3 - 2*h**2 - 3*h/2 + 28. Factor x(w).
(w - 3)*(w + 1)**3/2
Let i(y) be the first derivative of y**7/3780 + y**6/540 + y**5/270 - 2*y**3/3 + 1. Let a(m) be the third derivative of i(m). Factor a(t).
2*t*(t + 1)*(t + 2)/9
Let o(i) be the second derivative of i**7/252 - i**6/180 - i**5/24 + i**4/72 + 2*i**3/9 + i**2/3 - i. Solve o(f) = 0.
-1, 2
Let v(q) be the second derivative of q**5/240 - q**3/24 - 3*q**2 + 8*q. Let u(n) be the first derivative of v(n). Factor u(p).
(p - 1)*(p + 1)/4
Let c(o) be the first derivative of o**4/8 + 5*o**3/6 + o**2 - 1. Factor c(f).
f*(f + 1)*(f + 4)/2
Determine k, given that 21/4*k**3 + 49/4*k**4 - 6*k**2 + k + 0 = 0.
-1, 0, 2/7
Let f be (4/(-10))/((-7)/35). Determine u so that -2*u**4 - u**5 - 2*u**5 + 3*u**3 + f*u**4 = 0.
-1, 0, 1
Factor -2*g + 3*g**2 - 4*g + 9*g.
3*g*(g + 1)
Let i be (-1)/(6 - 5) + (-8)/(-6). Factor 0 + 2/3*l + i*l**2.
l*(l + 2)/3
Find l such that -1/3*l**3 + 1/6*l + 1/6*l**5 + 0 + 0*l**2 + 0*l**4 = 0.
-1, 0, 1
Let 3 + 2*k**2 - 1 - 4*k**2 = 0. What is k?
-1, 1
Suppose -14 = 2*y + 2*z - 222, 3*z = -3. Let u be (-3)/(-5) - (-77)/y. What is l in u + 2*l + 2/3*l**2 = 0?
-2, -1
Let l(i) be the second derivative of i**4/96 - i**3/6 + i**2 + 5*i. Factor l(w).
(w - 4)**2/8
Let x(l) be the first derivative of 2*l**5 - 5*l**4/4 - 5*l**3/3 + 7. Let x(m) = 0. What is m?
-1/2, 0, 1
Suppose -2*p + 2 = -4*a, 0*a - a + p - 3 = 0. Let n be (4/14)/(2/2). Find j, given that 8/7*j + n*j**a + 8/7 = 0.
-2
Factor 4/3*w**4 + 0*w - 4/3*w**5 + 4/3*w**3 - 4/3*w**2 + 0.
-4*w**2*(w - 1)**2*(w + 1)/3
Let j(i) = -31*i + 24*i**2 - 8*i**3 - 12*i + 32 + 4*i**3. Let z(y) = -2*y**3 + 12*y**2 - 21*y + 16. Let g(l) = -6*j(l) + 10*z(l). Factor g(u).
4*(u - 2)**3
Suppose -3*t + 85 = -8*t. Let d = t - -24. Find o such that o**3 - 2*o**2 + o + 7 - d = 0.
0, 1
Let j be 6 + -1 + 1 + 0. Let o be 2/(j/9*1). Find n, given that -2*n**2 - o*n + 2*n + n**3 + 2*n = 0.
0, 1
Suppose 6*h + 0*h = -3*h. Factor -1/7*s**2 + h - 3/7*s.
-s*(s + 3)/7
Let w(j) be the third derivative of -j**8/112 + j**6/10 + j**5/10 - 3*j**4/8 - j**3 - 3*j**2. Factor w(r).
-3*(r - 2)*(r - 1)*(r + 1)**3
Let a be (-6)/8 - (-539)/484. What is k in -130/11*k**3 - a*k + 0 + 224/11*k**5 - 42/11*k**2 - 48/11*k**4 = 0?
-2/7, -1/4, 0, 1
Let r(a) be the second derivative of -a**5/270 + a**4/108 + 2*a**3/27 + a**2 - 3*a. Let g(h) be the first derivative of r(h). Find d such that g(d) = 0.
-1, 2
Determine r so that 1/4*r + 0 + 1/4*r**2 = 0.
-1, 0
Solve 0 + 2/3*h**5 + 10/3*h**4 + 6*h**3 + 4/3*h + 14/3*h**2 = 0 for h.
-2, -1, 0
Let w(v) be the third derivative of v**8/224 - v**7/280 - v**6/160 + 41*v**2. Factor w(p).
3*p**3*(p - 1)*(2*p + 1)/4
Wh