s u in k(u) = 0?
0, 1
Let n(g) = -2*g - 2. Let i be n(-1). Factor i + 2/9*y**2 - 2/9*y**4 + 2/9*y**3 - 2/9*y.
-2*y*(y - 1)**2*(y + 1)/9
Let z(w) be the third derivative of -1/84*w**4 + 1/42*w**5 - 1/60*w**6 + 1/245*w**7 + 2*w**2 + 0 + 0*w + 0*w**3. Factor z(d).
2*d*(d - 1)**2*(3*d - 1)/7
Let -1/4*h + 0 + 1/4*h**2 = 0. Calculate h.
0, 1
Factor -9*g**3 + 0*g**3 + 24*g**2 + 6 + 0*g**3 - 6*g**4 + 3*g**5 + 3*g**3 - 21*g.
3*(g - 1)**4*(g + 2)
Let b(x) = -x**2 - 5*x + 8. Let o be b(-6). Determine z so that 9 + 0*z**2 + 0*z**2 - 7 - o*z**2 = 0.
-1, 1
Let g(u) = -7*u**4 - 4*u**3 + 16*u**2 + 16*u - 12. Let l(k) = k**4 - 1. Let v(m) = -3*g(m) - 12*l(m). Suppose v(z) = 0. What is z?
-2, 2/3, 2
Let p(i) = i**5 + 5*i**4 + 42*i**3 + 48*i**2 - 27*i - 81. Let y(s) = -s**4 - s**2. Let u(c) = -p(c) + 6*y(c). Suppose u(t) = 0. What is t?
-3, 1
Suppose -2*s + m + 84 = 0, 0*s + 84 = 2*s + m. Suppose -4*q + s = -q. Suppose 9/2*l**3 + q*l + 4 + 15*l**2 = 0. What is l?
-2, -2/3
Let h(m) = m**4 - 2*m**3 + 3*m**2 - 2*m - 2. Let u(a) = -4*a**4 + 7*a**3 - 10*a**2 + 7*a + 7. Let g(v) = -7*h(v) - 2*u(v). Suppose g(t) = 0. Calculate t.
-1, 0, 1
Let n(o) be the first derivative of o**3/9 + o**2 + 3*o + 20. Factor n(c).
(c + 3)**2/3
Let x(j) be the first derivative of -j**6/18 - 2*j**5/15 + 2*j**3/9 + j**2/6 - 11. Determine p so that x(p) = 0.
-1, 0, 1
Let w = 7 - 5. Factor w*b - 4*b - 3*b**2 + b**2 - 8 + 10*b.
-2*(b - 2)**2
Suppose 0 = 6*w - 3*w. Let u(g) be the first derivative of 0*g + w*g**3 + 1 + 1/6*g**4 - 1/3*g**2. Factor u(z).
2*z*(z - 1)*(z + 1)/3
Let d(c) be the third derivative of c**6/360 + c**5/36 + c**4/9 + 2*c**3/9 - 27*c**2. Suppose d(x) = 0. What is x?
-2, -1
Let l = -1 + 5. Factor 22*y**3 - y**4 + 3*y**l - 25*y**3 + y**4.
3*y**3*(y - 1)
Solve -2/7*j**5 + 6/7*j**3 + 4/7*j + 0 + 2/7*j**4 - 10/7*j**2 = 0 for j.
-2, 0, 1
Let n = 1/126 + 41/126. Let 0 + 1/3*q**4 - n*q**2 + 0*q - 1/3*q**3 + 1/3*q**5 = 0. What is q?
-1, 0, 1
Let s(p) = -7*p**4 + 11*p**3 - 5*p**2 - 3*p. Let w(j) = -11*j**4 + 17*j**3 - 8*j**2 - 4*j. Let b(y) = -8*s(y) + 5*w(y). Factor b(o).
o*(o - 2)**2*(o + 1)
Let w = 426827/18774 + 68/1341. Let x = w + -45/2. Suppose 0 - x*h**2 - 2/7*h = 0. What is h?
-1, 0
Suppose -6*q - 15 = -11*q. Suppose 7 = m + q. Factor 3*g**m - 2*g**2 - 3*g**4 - 4*g**3 - 2*g**4.
-2*g**2*(g + 1)**2
Let i(w) be the first derivative of 9*w**6/10 + 9*w**5/5 - 3*w**4/4 - 3*w**3 + 12*w/5 + 6. Factor i(n).
3*(n + 1)**3*(3*n - 2)**2/5
Solve 18*t**4 - 2*t**2 - 10*t**5 - 110*t**3 + 34*t**2 + 36*t**4 - 48*t + 8 + 74*t**2 = 0 for t.
2/5, 1, 2
Let f(v) be the third derivative of -v**6/720 + v**5/180 - 13*v**2. Factor f(r).
-r**2*(r - 2)/6
Suppose 2*h - 2 = 2, -5*x = -4*h + 43. Let q be (-1 - x)*(-4)/(-8). Let 0 - 2/3*r**q + 0*r**4 + 0*r + 2/3*r**5 + 0*r**2 = 0. What is r?
-1, 0, 1
Let d(z) be the third derivative of 0*z + 6*z**2 + 1/6*z**3 + 1/12*z**4 + 1/60*z**5 + 0. Solve d(r) = 0.
-1
Let t(v) be the first derivative of 7*v**4/26 + 4*v**3/39 - 7*v**2/13 - 4*v/13 + 7. Factor t(n).
2*(n - 1)*(n + 1)*(7*n + 2)/13
Let o(j) be the third derivative of -3*j**2 - 1/315*j**7 + 0*j - 1/36*j**4 + 0 - 1/60*j**6 + 0*j**3 - 1/30*j**5. Factor o(g).
-2*g*(g + 1)**3/3
Let c(o) be the first derivative of 5*o**3/3 - 10*o**2 + 20*o + 8. Determine s, given that c(s) = 0.
2
Let s(z) = -3*z**2 - 6*z - 3. Let n(h) = 3*h**2 + 6*h + 3. Let q(l) = 4*n(l) + 3*s(l). Determine c so that q(c) = 0.
-1
Let d(f) = -9*f**4 - 9*f**3 + 4*f**2 + 4*f. Let y(z) = 4*z**4 + 4*z**3 - 2*z**2 - 2*z. Let k be (-3)/6*4/1. Let u(h) = k*d(h) - 5*y(h). Let u(w) = 0. What is w?
-1, 0, 1
Suppose -2*q - n + 13 = 0, -2*q + 5*n + 13 = q. Suppose -3*o - 16 = 4*b, -3*b - q - 6 = -2*o. Suppose 1/2*c**2 + o - c = 0. Calculate c.
0, 2
Let c = -5 + 8. What is d in -96*d**2 + 24 - 156*d**4 - 315*d**c - 7*d**5 - 20*d**5 - 19*d - 150*d**2 - 17*d = 0?
-2, -1, 2/9
Let r(y) be the second derivative of 3*y**5/20 - y**4/2 - 2*y**3 + 12*y**2 + 13*y. Let r(a) = 0. What is a?
-2, 2
Let u be (1 + 15/(-12))/(-1). Let l be (0/(2 + -3))/(-1). Determine g so that 0 - 1/4*g**3 + 0*g - u*g**4 + l*g**2 = 0.
-1, 0
Let j(v) be the second derivative of -v**6/1440 - v**5/480 + v**4/48 - v**3/6 - 2*v. Let d(a) be the second derivative of j(a). Find x such that d(x) = 0.
-2, 1
Let g(l) = -3*l - 4. Let s(i) = -13*i - 15. Let w(k) = -9*g(k) + 2*s(k). Let z be w(-6). Factor z + 2/7*q**2 + 0*q - 2/7*q**4 + 0*q**3.
-2*q**2*(q - 1)*(q + 1)/7
Let o(r) be the first derivative of r**3/9 + r**2/3 + r/3 + 3. Factor o(u).
(u + 1)**2/3
Let p(i) be the third derivative of -i**8/420 - i**7/1050 + i**6/75 + i**5/150 - i**4/30 - i**3/30 - 25*i**2. Let p(z) = 0. What is z?
-1, -1/4, 1
Let o(d) = d + 2. Let p be o(-2). Let z(w) = p*w - 2 - 3*w + w + w**2 + 3. Let u(t) = 2*t**2 - 4*t + 2. Let n(s) = 6*u(s) - 13*z(s). Factor n(q).
-(q - 1)**2
Let x(h) be the third derivative of 0*h + 0*h**4 + 0 + 0*h**3 - 2*h**2 - 1/210*h**5. Let x(d) = 0. What is d?
0
Let z(u) = -u**2. Let n(t) = -12*t**2 - 40*t - 100. Let s(w) = n(w) - 8*z(w). Suppose s(q) = 0. Calculate q.
-5
Factor -3/4*m**4 + 1/2*m - 9/4*m**2 + 5/2*m**3 + 0.
-m*(m - 2)*(m - 1)*(3*m - 1)/4
Let w be (-15)/(-3)*3/15*4. Let n(t) be the first derivative of 2/25*t**5 + 2/15*t**3 + 2 + 1/5*t**w + 0*t**2 + 0*t. Solve n(u) = 0.
-1, 0
Solve -33*a + 138*a**2 + 14 + 8*a**4 - 48*a - 5*a - 74*a**3 = 0 for a.
1/4, 1, 7
Let n(s) be the second derivative of -2/45*s**5 + 7/54*s**4 - 2/27*s**3 - 4*s - 1/9*s**2 + 0. Factor n(d).
-2*(d - 1)**2*(4*d + 1)/9
Suppose -3/2*f - 3/2*f**3 - 3*f**2 + 0 = 0. Calculate f.
-1, 0
Solve -87 - j**5 - 2*j**3 + 3*j**3 + 87 = 0.
-1, 0, 1
Let q be (4/(-40))/(12/(-8)). Let v(g) be the second derivative of -q*g**6 - g + 0 - 1/6*g**4 + 0*g**3 + 0*g**2 + 1/5*g**5. Factor v(p).
-2*p**2*(p - 1)**2
Let f(j) = -j**2 + 1. Let k(g) = -15*g + 21. Let u(d) = 3*f(d) - k(d). Factor u(x).
-3*(x - 3)*(x - 2)
Let l(o) be the second derivative of 0 - 1/27*o**4 + 0*o**2 - 1/90*o**5 - 1/27*o**3 - 6*o. Find v, given that l(v) = 0.
-1, 0
Let v(f) be the first derivative of -7*f**6/45 - 2*f**5/5 - f**4/6 + 2*f**3/9 - 4*f + 1. Let l(s) be the first derivative of v(s). Factor l(r).
-2*r*(r + 1)**2*(7*r - 2)/3
Let a(l) be the second derivative of -l**8/560 + l**6/120 - l**3/2 + 2*l. Let s(z) be the second derivative of a(z). Determine o so that s(o) = 0.
-1, 0, 1
Let -2/5*g**3 + 4/5 - 2*g + 8/5*g**2 = 0. Calculate g.
1, 2
Let a be 2/(-6) - (-14)/6. Let j(t) = t**3 + 4*t**2 - t + 2. Let f be j(-4). Factor -a*l**2 + f*l**2 - 2*l**2 - 2.
2*(l - 1)*(l + 1)
Let k = -999/13 - -77. Determine b, given that -2/13*b**5 - 2/13 + 4/13*b**2 + 4/13*b**3 - k*b**4 - 2/13*b = 0.
-1, 1
Let c(b) be the third derivative of -1/42*b**7 + 3*b**2 - 1/6*b**3 - 1/6*b**5 - 1/12*b**6 + 0 + 0*b - 5/24*b**4 - 1/336*b**8. Factor c(f).
-(f + 1)**5
Suppose -68 = -42*b + 8*b. What is a in 2/13*a**b + 10/13*a + 6/13 - 2/13*a**3 = 0?
-1, 3
Let r(k) be the first derivative of k**4 + k**3/3 - 2*k**2 - k - 3. Suppose r(w) = 0. What is w?
-1, -1/4, 1
Suppose a + 4*a = -15. Let d be (-5*3)/a + -1. Factor 2/5*l**3 + 0 - 2/5*l + 2/5*l**d - 2/5*l**2.
2*l*(l - 1)*(l + 1)**2/5
Suppose -3 = -2*z - 1. Let a be 20/((-2)/(-2))*z. Factor -w + a*w + 7*w + 24 + 18*w**2 + 3*w**3 + 10*w.
3*(w + 2)**3
Let d(v) = v**3 + v**2 + 3*v. Let j(b) = -2*b**3 - 2*b**2 - 4*b. Let m be -9*2/6*-1. Let q(a) = m*j(a) + 4*d(a). Factor q(z).
-2*z**2*(z + 1)
Let n(x) = 4*x**2 + 0*x - x**3 + 2 + 2 - 5*x + x**2. Let h be n(4). What is s in 0 + h*s + 2/7*s**3 - 2/7*s**2 = 0?
0, 1
Let g(i) be the third derivative of -i**7/630 + i**5/60 - i**4/36 + 9*i**2. Factor g(r).
-r*(r - 1)**2*(r + 2)/3
Suppose 0 = 4*c + c + 30. Let z(w) = -w**2 - w. Let v(b) = -b**2 - 2*b - 1. Let o(l) = c*z(l) + 2*v(l). Factor o(h).
2*(h + 1)*(2*h - 1)
Suppose -3*s - 2 = -4*s. Suppose -5*u + q - s*q = -20, 3*q = -u - 10. Factor -13/3*r**4 - 1/3*r - 5*r**3 - 4/3*r**u + 0 - 7/3*r**2.
-r*(r + 1)**3*(4*r + 1)/3
Let z(h) be the third derivative of -2*h**7/945 + h**6/108 - h**5/135 - 3*h**2. Factor z(a).
-2*a**2*(a - 2)*(2*a - 1)/9
Let z(n) be the second derivative of n**6/210 + n**5/140 - n**4/168 + n**2/2 - n. Let u(w) be the first derivative of z(w). Factor u(d).
d*(d + 1)*(4*d - 1)/7
Let r(c) be the third derivative of c**9/30240 - c**8/2520 + c**7/50