or -u*k**2 - 2/7*k**3 - 8/7*k + m.
-2*k*(k + 2)**2/7
Factor -18/7*n**2 - 54/7 + 2/7*n**3 + 54/7*n.
2*(n - 3)**3/7
Let p be 4/1 + 1/((-2)/4). Factor y + 1/4*y**4 + 0 - y**p - 1/4*y**3.
y*(y - 2)*(y - 1)*(y + 2)/4
Let j(x) be the first derivative of 7*x**4 - 20*x**3/3 - 4*x**2 - 11. Factor j(k).
4*k*(k - 1)*(7*k + 2)
Let r(c) = -c - 1. Let q be r(-1). Solve 9*n**3 + 3*n + 3 + 3*n + 21*n**2 + q + 9*n = 0.
-1, -1/3
Let y(w) be the second derivative of 3*w**5/20 + w**4/10 - w**3/2 - 3*w**2/5 + 18*w - 1. Factor y(q).
3*(q - 1)*(q + 1)*(5*q + 2)/5
Let z(u) be the first derivative of 10*u**3/3 + 14*u**2 - 6*u + 1. Let x(m) = 0*m**2 - 5 + 9*m + 3*m**2 + 3. Let r(v) = -16*x(v) + 5*z(v). Factor r(s).
2*(s - 1)**2
Let r(y) be the second derivative of y**7/12600 + y**6/1200 + y**5/300 - y**4/4 - 3*y. Let c(j) be the third derivative of r(j). Factor c(t).
(t + 1)*(t + 2)/5
Let w be (-12)/5 - (-2)/5. Let a be 1*3/(-2) - w. Let 1/2*l - 1/2*l**2 + 0 - 1/2*l**3 + a*l**4 = 0. Calculate l.
-1, 0, 1
Let a(v) = 2*v**2 + 4*v + 3. Let t be a(-2). Suppose t*j - 6 + 0 = 0. Let 2*s**3 - s**2 - 2*s + 0*s**2 - j + 3*s**2 = 0. What is s?
-1, 1
Let t(m) be the second derivative of m**6/120 - m**4/24 + m**2/8 - 27*m. Factor t(f).
(f - 1)**2*(f + 1)**2/4
Suppose -o**2 + 1/4*o**3 - o + 1/4*o**4 + 0 = 0. What is o?
-2, -1, 0, 2
Let s be (2/12)/(7/4). Let d(h) be the first derivative of s*h**3 + 0*h - 2 + 1/14*h**4 + 0*h**2. What is x in d(x) = 0?
-1, 0
Let j(v) = 88*v**2 + 18*v. Let w(l) = 29*l**2 + 6*l. Let s = 5 + -12. Let p(a) = s*w(a) + 2*j(a). Suppose p(f) = 0. Calculate f.
-2/9, 0
Let f = 20 - 179/9. Let r(h) be the second derivative of -1/135*h**6 - 1/9*h**4 - 4/27*h**3 - 2/45*h**5 - h + 0 - f*h**2. Let r(b) = 0. What is b?
-1
Let i(w) be the second derivative of 3/4*w**3 - 1/8*w**4 - 3/2*w**2 - 3*w + 0. Factor i(m).
-3*(m - 2)*(m - 1)/2
Let c(u) be the third derivative of u**8/140 - 17*u**7/175 + 14*u**6/25 - 44*u**5/25 + 16*u**4/5 - 16*u**3/5 + 21*u**2. Factor c(p).
6*(p - 2)**4*(2*p - 1)/5
Let v(x) be the third derivative of -x**8/840 + x**6/100 + x**5/75 + x**2. Find o such that v(o) = 0.
-1, 0, 2
Suppose 2*o = 5 + 5. Suppose -8 + 23 = o*s. Suppose 114*k**2 - 8 + 123*k**5 - 184*k**s - 106*k**4 + 49*k**5 + 16*k - 4*k**5 = 0. Calculate k.
-1, -2/7, 1/4, 2/3, 1
Let p = 65 - 93. Let k be 4/p - 9/(-21). Factor -2/7*d**3 - k + 2/7*d + 2/7*d**2.
-2*(d - 1)**2*(d + 1)/7
Determine z so that -3/4*z**2 + 1/2 + 1/4*z**4 - 1/4*z + 1/4*z**3 = 0.
-2, -1, 1
Let i(u) = 25*u**5 + 94*u**4 + 114*u**3 + 36*u**2 - 15*u - 14. Let g(w) = w**4 + w**3 - w**2 - 1. Let j(d) = -4*g(d) + i(d). Solve j(y) = 0.
-1, 2/5
Let r = 10 - 14. Let w(l) = l + 4. Let d be w(r). Find f such that d*f - 2/11*f**2 - 6/11*f**4 - 8/11*f**3 + 0 = 0.
-1, -1/3, 0
Suppose 0 = z + 4*z - 10. Let w = -3/70 + 79/210. Suppose 1/2*n - 1/6*n**z - w = 0. What is n?
1, 2
Let q(i) be the second derivative of -i**8/840 - 3*i**7/980 - i**6/630 - 4*i**3/3 + 3*i. Let b(n) be the second derivative of q(n). Factor b(z).
-2*z**2*(z + 1)*(7*z + 2)/7
Suppose -34/19*b + 34/19*b**3 - 66/19*b**2 + 70/19*b**4 - 4/19 = 0. Calculate b.
-1, -2/7, -1/5, 1
Let t(p) = -5*p**4 + 20*p**2 - 6*p + 6. Let i(d) = 70*d**4 - 280*d**2 + 85*d - 85. Let w(f) = -6*i(f) - 85*t(f). Suppose w(z) = 0. What is z?
-2, 0, 2
Let f = 48 + -43. Let r(l) be the third derivative of 0*l**3 + 0*l - l**2 + 1/120*l**f + 0*l**4 + 0. Factor r(w).
w**2/2
Let j(l) be the third derivative of -5*l**2 + 0*l - 1/132*l**4 + 1/165*l**5 - 2/1155*l**7 + 0*l**3 + 0*l**6 + 0 + 1/1848*l**8. Factor j(q).
2*q*(q - 1)**3*(q + 1)/11
Let u = 191 + -572/3. Factor -u*b + 0*b**2 + 0 + 1/3*b**3.
b*(b - 1)*(b + 1)/3
Let l(d) = -1. Let x be ((-4)/(-6))/((-4)/6). Let p(g) = g**5 + 2*g**4 - 2*g**2 - g - 5. Let a(y) = x*p(y) + 5*l(y). Factor a(u).
-u*(u - 1)*(u + 1)**3
Let t(k) = 2*k**4 + 8*k**3 + 5*k**2 + 15*k - 5. Let o(q) = q**4 + 4*q**3 + 2*q**2 + 8*q - 3. Let x(b) = 7*o(b) - 4*t(b). Let x(a) = 0. What is a?
-1
Let t(s) = -s**5 + s**4 - s**3 + 3*s**2 - 3*s. Let a(y) = 2*y**5 - 2*y**4 + 3*y**3 - 7*y**2 + 7*y. Let f(r) = -6*a(r) - 14*t(r). Let f(o) = 0. Calculate o.
-1, 0, 2
Let d(b) be the third derivative of -b**6/120 + b**5/30 + b**4/24 - b**3/3 + 8*b**2. Factor d(q).
-(q - 2)*(q - 1)*(q + 1)
Let j = -527 - -3691/7. Solve -j*p**5 + 4/7*p**2 + 4/7*p**3 - 2/7*p - 2/7 - 2/7*p**4 = 0 for p.
-1, 1
Let k(u) = 8*u**3 + 16*u**2 - 12*u - 12. Let i(v) = -v**3 - v**2 + v + 1. Let c(y) = -12*i(y) - k(y). Factor c(f).
4*f**2*(f - 1)
Let p(u) be the second derivative of u**4/21 - 4*u**3/21 - 6*u**2/7 + 12*u. Factor p(w).
4*(w - 3)*(w + 1)/7
Suppose 2*u - 17 = 3*l, 12 - 4 = -u - 4*l. Solve -2/3*m**2 + 1/3*m**u + 1/3*m**3 + 0 + 0*m = 0 for m.
-2, 0, 1
Let w = 1 - -2. Suppose -2*q - 8 = -4*q. Factor -2*v**2 + v**5 + 2*v**w + v**2 - 3*v**3 + v**q.
v**2*(v - 1)*(v + 1)**2
Let x(o) be the third derivative of -o**7/231 + 7*o**6/60 - 27*o**5/22 + 775*o**4/132 - 250*o**3/33 + o**2 + 20. Factor x(w).
-2*(w - 5)**3*(5*w - 2)/11
Let s(b) = -8*b**2 + 29*b + 13. Let j(a) = -3*a**2 + 10*a + 4. Let x(r) = -11*j(r) + 4*s(r). Factor x(o).
(o + 2)*(o + 4)
Let h(n) be the third derivative of n**8/16800 - n**7/6300 + n**4/24 - n**2. Let g(j) be the second derivative of h(j). Factor g(l).
2*l**2*(l - 1)/5
Suppose c = 4 - 1. Let b(z) be the first derivative of 2 - 1/16*z**4 - 1/3*z**c - 1/2*z - 5/8*z**2. Factor b(n).
-(n + 1)**2*(n + 2)/4
Let s(t) be the second derivative of 1/42*t**4 + 0 + 2/21*t**3 + 1/7*t**2 - t. Factor s(v).
2*(v + 1)**2/7
Let r be (-1)/3*(-7)/14. Let h(x) be the third derivative of -x**2 - 1/24*x**4 - 1/60*x**5 + 1/120*x**6 + 0*x + r*x**3 + 0. Suppose h(c) = 0. What is c?
-1, 1
Find g, given that -g - 9*g**2 + 3 + 6*g**2 + g = 0.
-1, 1
Let y(i) be the third derivative of 0 + 0*i - i**2 + 27/14*i**3 + 9/35*i**5 + 1/28*i**6 + 1/490*i**7 + 27/28*i**4. Factor y(q).
3*(q + 1)*(q + 3)**3/7
Let i = -3/11 - -71/99. Let s = -156 + 1406/9. Solve 0 - 2/3*t**2 + 2/3*t**4 - 2/9*t**3 + i*t**5 - s*t = 0.
-1, -1/2, 0, 1
Let k(v) be the third derivative of 0 + 0*v + 1/735*v**7 + 1/21*v**3 - 1/105*v**5 + 0*v**6 + 0*v**4 - 4*v**2. Determine o, given that k(o) = 0.
-1, 1
Let z(c) be the first derivative of 4*c**6/105 + c**5/10 + c**4/21 - c**3/21 + 2*c + 2. Let d(s) be the first derivative of z(s). Find h, given that d(h) = 0.
-1, 0, 1/4
Suppose -4*m**2 - 3 - 9*m**3 + 10*m**3 - m + 7*m**2 = 0. What is m?
-3, -1, 1
Factor -14/5*d**3 - 8/5 - 2*d**2 + 32/5*d.
-2*(d - 1)*(d + 2)*(7*d - 2)/5
Let y(f) be the first derivative of -1/2*f**2 - 1/80*f**5 + 0*f + 1/24*f**3 - 1/48*f**4 + 1. Let n(s) be the second derivative of y(s). Solve n(z) = 0.
-1, 1/3
Let s(c) be the third derivative of c**8/336 - c**7/210 - c**6/40 + c**5/60 + c**4/12 - 22*c**2. Let s(q) = 0. Calculate q.
-1, 0, 1, 2
Factor 0*q - q + 6*q**2 - 8*q**2 + q**2.
-q*(q + 1)
Factor 0 - 4/3*n**3 + 0*n**4 + 0*n**2 + 2/3*n + 2/3*n**5.
2*n*(n - 1)**2*(n + 1)**2/3
Let s(m) be the second derivative of -m**7/420 + m**5/120 + 5*m**2/2 - 4*m. Let a(j) be the first derivative of s(j). Determine n, given that a(n) = 0.
-1, 0, 1
Let v(s) = 5*s**3 + 47*s**2 - 3*s + 3. Let z(f) = -35*f**3 - 330*f**2 + 20*f - 20. Let p(d) = -20*v(d) - 3*z(d). Let p(n) = 0. Calculate n.
-10, 0
Factor -9/2 - 1/2*j**2 - 3*j.
-(j + 3)**2/2
Let l be 2 + 90/25 + -5. Factor 3/5*d**2 - 6/5*d + l.
3*(d - 1)**2/5
Let p(a) = 4*a**5 + 18*a**4 - 39*a**3 + 36*a**2 - 5*a - 7. Let b(u) = -u**5 - 6*u**4 + 13*u**3 - 12*u**2 + 2*u + 2. Let o(d) = -21*b(d) - 6*p(d). Factor o(f).
-3*f*(f - 2)**2*(f - 1)**2
Let a(w) be the third derivative of 0*w**5 + 0*w - 1/300*w**6 + 1/1050*w**7 + 1/60*w**4 + 6*w**2 + 0 - 1/30*w**3. Factor a(t).
(t - 1)**3*(t + 1)/5
Let -4/7 - 2/7*m**3 + 4/7*m**2 + 2/7*m = 0. What is m?
-1, 1, 2
Suppose -d = 2*d. Suppose d = -4*h - 0*h. Factor -4/3*g**2 + h*g + 0*g**3 + 2/3 + 2/3*g**4.
2*(g - 1)**2*(g + 1)**2/3
Let b(i) = 5*i**2 + 4*i - 10. Let l(t) = 6*t**2 + 4*t - 11. Let g(n) = -7*b(n) + 6*l(n). Let g(v) = 0. Calculate v.
2
Let a be 2 - (-3 - -3) - 0. Factor -3 - 3*s**a + 12*s + 1 - 15*s**2 + 13*s**3 - 5*s**3.
2*(s - 1)**2*(4*s - 1)
Suppose 12*v - v = 0. Let 1/2*o**2 + v - 1/2*o = 0. What is o?
0, 1
Let f(o) be the second derivative of -o**4/6 + 2*o**3/3 - o**2 - 5*o. What is k in f(k) = 0?
1
Suppose -s 