**5 + 0 - u = 0.
-1, -2/7, 0, 1
Let a be (-2)/((-4)/(-3))*-6. Let d(m) = m**3 - 10*m**2 + 8*m + 11. Let z be d(a). Factor 6*r - 5*r**2 - 7 + 2*r**z + 4.
-3*(r - 1)**2
Let a(c) be the second derivative of 1/72*c**4 + 1/12*c**3 + 0 - 5*c + 1/6*c**2. Determine s so that a(s) = 0.
-2, -1
Suppose 2*n**5 - 4*n**4 + 7*n**4 + 2*n**2 - 3*n**4 - 2*n**3 - 2*n**4 = 0. Calculate n.
-1, 0, 1
Let b(g) be the first derivative of g**4/14 + 2*g**3/21 - 5*g**2/7 + 6*g/7 - 1. Find i, given that b(i) = 0.
-3, 1
Let c(m) be the first derivative of m**3/7 - 9*m**2/7 + 15*m/7 - 6. Let c(p) = 0. Calculate p.
1, 5
Let i(k) be the third derivative of -3*k**2 - 1/18*k**4 + 0*k - 1/180*k**6 + 0*k**3 - 1/30*k**5 + 0. Factor i(d).
-2*d*(d + 1)*(d + 2)/3
Let s(g) = -g**4 + g**3 - g**2 + g - 1. Let o(h) = 5*h**4 + 5*h**3 - 27*h**2 + 13*h + 1. Let w(b) = -2*o(b) + 6*s(b). Solve w(z) = 0 for z.
-2, -1/4, 1
Let c(o) be the third derivative of o**5/150 - 4*o**3/15 - 8*o**2. Solve c(t) = 0 for t.
-2, 2
Let k = 25/22 - 7/11. Suppose 0 - 1/2*n**2 - k*n = 0. Calculate n.
-1, 0
Let f(o) be the second derivative of -147*o**5/20 + 14*o**4 - 8*o**3 + 10*o. Factor f(z).
-3*z*(7*z - 4)**2
Let x(y) be the second derivative of y**6/30 - y**5/10 - 7*y. Factor x(d).
d**3*(d - 2)
Let c be -1 - 5/(-180) - -1. Let w(h) be the third derivative of -1/360*h**5 + c*h**3 + 0*h + 1/144*h**4 - 3*h**2 + 0 - 1/720*h**6. Let w(f) = 0. Calculate f.
-1, 1
Let v = 60 - 31. Let c = -26 + v. Factor 2/7*g - 4/7*g**2 + 2/7*g**c + 0.
2*g*(g - 1)**2/7
Let b(q) be the first derivative of 0*q - 1/7*q**4 + 0*q**2 + 2/35*q**5 - 3 + 0*q**3 + 1/21*q**6. Find d, given that b(d) = 0.
-2, 0, 1
Suppose g - 3 = -0*g. Let n(i) = 5*i**3 + 4*i**2 - 5*i - 4. Let x(a) = 14*a**3 + 12*a**2 - 14*a - 12. Let h(l) = g*x(l) - 8*n(l). Determine o so that h(o) = 0.
-2, -1, 1
Suppose 3 = -2*m + 3*m. Suppose 4*c + 4*j = 2*j, m*j = 0. Factor 1/3 - 1/3*v**2 + c*v.
-(v - 1)*(v + 1)/3
Factor 3/4*u - 1/4*u**3 + 0 - 1/2*u**2.
-u*(u - 1)*(u + 3)/4
Factor 2/3*l**4 + 4/3*l**3 - 8*l**2 + 28/3*l - 10/3.
2*(l - 1)**3*(l + 5)/3
Let a(n) be the third derivative of -n**6/12 + n**5/5 - n**4/12 - 4*n**2. Factor a(q).
-2*q*(q - 1)*(5*q - 1)
Let n(j) be the third derivative of -1/30*j**5 + 1/336*j**8 - 1/8*j**4 + 0*j + 1/70*j**7 + 4*j**2 + 0 + 1/60*j**6 - 1/6*j**3. What is w in n(w) = 0?
-1, 1
Let q(c) be the third derivative of -c**5/60 - c**4/24 + c**3/3 - 9*c**2. Factor q(s).
-(s - 1)*(s + 2)
Factor -2*z**3 + 12*z**2 + 2*z**3 + 3*z**3 + 14*z - 2*z.
3*z*(z + 2)**2
Let d = -247/3 - -83. Let u = 2/283 - -2258/849. Suppose -2/3*f**3 + 8/3*f**2 - u*f**4 + d*f + 0 = 0. Calculate f.
-1, -1/4, 0, 1
Let a(i) be the second derivative of -i**4/36 + i**3/9 - i**2/6 - i. Factor a(f).
-(f - 1)**2/3
Let a(m) be the third derivative of 1/8*m**4 + 0*m + 0 - 2*m**2 + 1/60*m**5 + 1/3*m**3. Factor a(w).
(w + 1)*(w + 2)
Suppose 7*d - 2*d = 25. Suppose d - 3 = n. What is q in -1/4*q**n + 3/4*q - 1/2 = 0?
1, 2
Suppose -f = -5 + 2. Find x, given that -f*x**5 + 3*x**2 - x**3 + 2*x**5 - 2*x**4 - 3*x**2 = 0.
-1, 0
Let o(n) be the second derivative of -3*n**6/50 + 3*n**5/100 + n**4/4 - n**3/10 - 3*n**2/5 - 8*n. Suppose o(w) = 0. Calculate w.
-1, -2/3, 1
Factor -1/5*x**4 + 0 + 1/5*x**2 + 1/5*x**3 + 0*x - 1/5*x**5.
-x**2*(x - 1)*(x + 1)**2/5
Let v(m) = -m**3 + m**2 + m. Let o(b) = -81*b**3 + 42*b**2 - 9*b. Let r(z) = -o(z) - 3*v(z). What is j in r(j) = 0?
0, 1/4, 2/7
Let w be 32/(-160)*4/(-6). Factor -2/3*s**2 + 0 - w*s.
-2*s*(5*s + 1)/15
Let b(q) be the third derivative of 729*q**8/112 + 324*q**7/35 + 27*q**6/5 + 8*q**5/5 + 2*q**4/9 - 9*q**2. Factor b(h).
h*(9*h + 2)**4/3
Let r be (-22)/(-80) - (-3)/24. Factor -2/5*w**2 + 0*w - r*w**3 + 0.
-2*w**2*(w + 1)/5
Let h be 48/9 - (-1)/(-3). Suppose 0 = -4*g + 12, 0 = y - h*g - 6 + 21. Factor -1/3*f**3 + y*f - f**2 + 4/3.
-(f - 1)*(f + 2)**2/3
Suppose 1/2*d**4 + 1/2*d**5 - 3/2*d**3 + d + 0 - 1/2*d**2 = 0. Calculate d.
-2, -1, 0, 1
Let k(t) = -t**3 + 6*t**2 + 9*t - 9. Let u be k(7). Let y(h) = 6*h**2 - 5*h + 5. Let j(v) = 9*v**2 - 7*v + 7. Let l(g) = u*j(g) - 7*y(g). Solve l(f) = 0.
0
Let z(l) be the first derivative of -l**4/40 + l**3/10 + l**2/5 + 37. Factor z(w).
-w*(w - 4)*(w + 1)/10
Let l(t) = 6*t + 14. Let r be l(-2). Factor -1/3 + 4/3*o - o**r.
-(o - 1)*(3*o - 1)/3
Let o be (5/2)/(2/4). Factor 3*d**2 - d + 11 - 8 - o*d.
3*(d - 1)**2
Let r(o) = -4*o**4 + 4*o**2 - 6. Let n(f) = -f**2 + f + 1. Let m be n(2). Let i(s) = -s**4 - s**3 - 1. Let q(u) = m*r(u) + 6*i(u). Solve q(l) = 0.
-2, -1, 0
Let u(z) be the second derivative of -z**5/60 + z**4/12 + z**3/2 - z**2/2 + 7*z. Let y(c) be the first derivative of u(c). Suppose y(d) = 0. What is d?
-1, 3
Let b be (4/6)/((-10)/15). Let c(f) = -10*f + 1. Let t be c(b). Determine h so that -1 - 9*h**2 + 6 - 4*h**4 - 4 + h + t*h**3 = 0.
-1/4, 1
Let j = 181/354 + -2/177. Factor 0*u + 3/2*u**3 - j*u**5 + 0 + 0*u**4 + u**2.
-u**2*(u - 2)*(u + 1)**2/2
Let z be (45/(-27))/(1/(-6)). Let b = z - 8. Let 0*s**b - 1/2*s**5 + 0*s**4 + 0 + 0*s + 1/2*s**3 = 0. Calculate s.
-1, 0, 1
Suppose -4*k + 4 + 4 = -4*b, -k = 5*b - 14. Factor -4*o**2 + 3*o**2 + 2*o**b + o.
o*(o + 1)
Let l(f) be the third derivative of 0*f**3 - 3*f**2 - 1/120*f**4 + 0*f + 1/150*f**5 + 0 - 1/600*f**6. Find p such that l(p) = 0.
0, 1
Suppose 0 = -2*w - 6*j + 3*j + 4, -5*w - 3*j = -10. Suppose 0 = 5*h - 2*c - 12, w*h - c - 5 + 0 = 0. Factor 0*y + 0*y**3 - 2/7*y**4 + 4/7*y**h - 2/7.
-2*(y - 1)**2*(y + 1)**2/7
Let w(u) be the third derivative of u**5/40 - 3*u**4/16 - u**3 + u**2. Suppose w(h) = 0. What is h?
-1, 4
Let f(l) = l**3 - 5*l**2 - 3*l + 3. Let g(b) = -b**3 + b**2 + b - 1. Let u = 13 - 14. Let v(c) = u*f(c) - 3*g(c). Factor v(d).
2*d**2*(d + 1)
Suppose 2/5*m + 0 - 1/5*m**2 = 0. What is m?
0, 2
Let x(n) be the first derivative of 2*n**3/21 - 8*n**2/7 - 18*n/7 - 4. Factor x(p).
2*(p - 9)*(p + 1)/7
Find l such that l**3 - 6*l**5 - 2*l**3 + 21*l**4 + 8*l**2 - 5*l**3 - 41*l**2 + 12*l + 12 = 0.
-1, -1/2, 1, 2
Let l(i) = -i + 3. Let u be l(1). Suppose 3*h = -3*w - 6, 0 = -3*h + 4*w + 6 + 23. Factor 6*z**2 + 8 + z**u + 24*z + h*z**2.
2*(z + 2)*(5*z + 2)
Let y(k) be the second derivative of -k**6/300 + k**5/50 - k**4/30 - 3*k**2 - 2*k. Let s(i) be the first derivative of y(i). Determine r so that s(r) = 0.
0, 1, 2
Let o(l) = -l**3 - 7*l**2 + 7*l - 6. Let p be o(-8). Let z(w) = w - 2. Let b be z(p). Factor -3 + g**4 + 2*g**3 - 2*g + 2 + b*g**4.
(g - 1)*(g + 1)**3
Let p(i) = i**2 - i - 2. Let b be p(3). What is j in -j**b + 2*j + j**2 + j**3 - 3*j**3 + 1 - j**2 = 0?
-1, 1
Let l(j) be the third derivative of 2/735*j**7 - 6*j**2 + 2/21*j**3 + 0 + 1/1176*j**8 - 2/105*j**5 - 1/210*j**6 + 0*j + 1/84*j**4. Let l(w) = 0. What is w?
-2, -1, 1
Let a be ((-2)/7)/((-48)/28). Let y(x) be the first derivative of 0*x - 1/8*x**4 - a*x**3 + 0*x**2 + 1. Determine t, given that y(t) = 0.
-1, 0
Let h(y) be the first derivative of -3/4*y**4 - 3*y - 9/2*y**2 - 4 - 3*y**3. Find f, given that h(f) = 0.
-1
What is g in 1/6*g**2 + 1/6*g - 1/3 = 0?
-2, 1
Let n(j) = -j**2 + 5*j - 2. Let l be n(4). Let k = 79/7 + -11. Find b, given that 4/7 - 2/7*b**l - k*b = 0.
-2, 1
Let t(z) = z**3 - 9*z**2 + 6*z + 58. Let m be t(7). Let -2*w**2 + 0 - 1/2*w**3 - m*w = 0. Calculate w.
-2, 0
Let o be -6*1/(-2) + (-812)/308. Factor 2/11*h - 4/11 + o*h**2 - 2/11*h**3.
-2*(h - 2)*(h - 1)*(h + 1)/11
Let i = 14/13 - 71/78. Let n(j) be the second derivative of 0*j**2 - 1/9*j**3 - j - 1/45*j**6 + 0 - i*j**4 - 1/10*j**5. Solve n(b) = 0.
-1, 0
Let t(m) = 0*m**2 - m**2 + m**3 + 0*m - 1 - m. Let h(k) = -2*k**5 - 2*k**4 + 5*k**3 - k**2 - k - 1. Let p(u) = -h(u) + t(u). Let p(r) = 0. What is r?
-2, 0, 1
Let u be 8188/1610 - (-2)/(-7). Factor -8/5 - 2*p**2 + u*p.
-2*(p - 2)*(5*p - 2)/5
Let p(f) = 11*f**2 + 29*f + 17. Let j = -27 + 53. Let d = j - -8. Let c(b) = -2*b**2 - 5*b - 3. Let k(v) = d*c(v) + 6*p(v). Factor k(s).
-2*s*(s - 2)
Find h, given that 0 - 2/5*h**2 - 4/5*h = 0.
-2, 0
Let s = -777 + 1555/2. Factor s*o**2 + 0 - 1/4*o + 0*o**3 + 1/4*o**5 - 1/2*o**4.
o*(o - 1)**3*(o + 1)/4
Let r(k) be the first derivative of 2*k**3/27 - 14*k**2/9 + 98*k/9 + 8. Factor r(x).
2*(x - 7)**2/9
Let j(h) be the second derivative of -1/2*h**3 - 1/4*h**4 - 1/2*h**2 - 2*h + 0 - 1/20*h**5. Factor j(r).
-(r + 1)**3
Suppos