 - c**4/4 - c**3/2 - c**2. Let t(x) = 0. Calculate x.
-1, -1/3, 1
Let p(q) = q**3 + 9*q**2 + 9*q + 8. Let i be p(-8). What is g in -3*g - g + i + g**2 + 2 + 2 = 0?
2
Let l(p) be the first derivative of -1/2*p**5 - 1 - 1/3*p**3 + 0*p + 0*p**2 - 7/8*p**4. Factor l(k).
-k**2*(k + 1)*(5*k + 2)/2
Determine i so that 0*i**3 + 0*i**2 + 0 + 2/13*i**4 + 2/13*i**5 + 0*i = 0.
-1, 0
Let d be 54/8 - (-150)/(-25). Factor 0*p**2 - 1/4*p**3 - 1/2 + d*p.
-(p - 1)**2*(p + 2)/4
Factor -2/3 + 0*x**3 + 0*x + 4/3*x**2 - 2/3*x**4.
-2*(x - 1)**2*(x + 1)**2/3
Let l(c) = -c**3 + 6*c**2 - 8*c + 6. Let j be l(5). Let g be (-26)/(-8) + (-12 - j). Factor 1/4*o**3 + 0 + g*o**4 - 1/4*o**2 - 1/4*o.
o*(o - 1)*(o + 1)**2/4
Factor 6/7*j**4 - 6/7*j**2 + 6/7*j - 6/7*j**3 + 0.
6*j*(j - 1)**2*(j + 1)/7
Let l(z) be the first derivative of -5*z**6/6 + 3*z**5 + 5*z**4/4 - 5*z**3 + 47. Let l(x) = 0. Calculate x.
-1, 0, 1, 3
Let f be 6/4*(-4)/(-3). Let x be (-1 + (-4)/(-4))/(-3 - -6). Solve -2/3*p**f + 1/3*p**4 + 0*p**3 + 1/3 + x*p = 0.
-1, 1
Let d(c) be the second derivative of c**6/10 + 3*c**5/5 - c**4/4 - 2*c**3 - 18*c. Suppose d(a) = 0. Calculate a.
-4, -1, 0, 1
Let i(n) = -2*n + 5. Let f be i(3). Let b be (f/2)/(1/(-1)). Factor b + r**2 + 9/4*r.
(r + 2)*(4*r + 1)/4
Let l(o) be the first derivative of -o**7/420 - o**6/180 + o**5/60 + o**4/12 - o**3 + 2. Let y(k) be the third derivative of l(k). Factor y(i).
-2*(i - 1)*(i + 1)**2
Let y(p) = 14*p**3 + 8*p**2 - 26*p - 3. Let x = 9 - 3. Let h(d) = -5*d**3 - 3*d**2 + 9*d + 1. Let z(t) = x*y(t) + 17*h(t). Solve z(v) = 0 for v.
-1
Let s(l) = -8*l**3 + 2*l**2 + 22*l - 16. Let o(u) = u**4 - 40*u**3 + 9*u**2 + 109*u - 79. Let j(d) = -4*o(d) + 22*s(d). Factor j(f).
-4*(f - 1)**2*(f + 3)**2
Determine t, given that -1 - 45/4*t**4 + 31/2*t**3 + 7/4*t**2 - 5*t = 0.
-2/5, -2/9, 1
Let c = -8/5 - -37/20. Let z = 61/220 - 3/110. Determine i so that c - z*i**2 + 0*i = 0.
-1, 1
Let x = -7 - -12. Let l be 1 + 0 + 0 + x. Factor -2*b**3 + b**5 - b**5 + l*b**4 - 4*b**5.
-2*b**3*(b - 1)*(2*b - 1)
Let p(b) = -4*b**2 + 15*b - 7. Let v be p(3). Factor -l**v - 1/3*l**3 - 2/3*l + 0.
-l*(l + 1)*(l + 2)/3
Factor 2/7*i**4 - 4/7 - 2/7*i**3 - 6/7*i**2 + 10/7*i.
2*(i - 1)**3*(i + 2)/7
Let m(y) be the first derivative of 1/18*y**4 - 4*y - 1/3*y**2 + 1/18*y**3 + 3 - 1/60*y**5. Let k(a) be the first derivative of m(a). Factor k(g).
-(g - 2)*(g - 1)*(g + 1)/3
Let q = 3 + -3. Suppose 0 = 5*n + 4*c - 22, -3*c + q = -5*n + 1. What is w in 2/9*w - 32/9*w**4 + 0 + 16/9*w**3 + 14/9*w**n = 0?
-1/4, 0, 1
Let w be (1 - 1)/((-5)/(-25)*5). Factor w*a + 0 - 1/4*a**4 - 1/4*a**3 + 0*a**2.
-a**3*(a + 1)/4
Factor 0*r**2 + 2/11*r**4 + 0*r + 0 - 4/11*r**3.
2*r**3*(r - 2)/11
Let u(s) be the third derivative of 1/80*s**5 + s**2 - 1/160*s**6 + 0*s + 0*s**3 - 1/96*s**4 + 1/840*s**7 + 0. Suppose u(w) = 0. What is w?
0, 1
Let t be ((-7)/42)/((-2)/4). Let y(v) be the third derivative of v**2 + 0 - 1/8*v**4 + t*v**3 + 1/60*v**5 + 0*v. Factor y(r).
(r - 2)*(r - 1)
Let k(n) be the second derivative of -n**7/1260 - n**6/270 - n**5/180 + 2*n**3/3 - 4*n. Let r(t) be the second derivative of k(t). Solve r(y) = 0.
-1, 0
Let m(w) = -w**3 + 2*w**2 + 3*w - 6. Let x be m(-2). Solve -2/3*v**2 + 4/3*v**3 + 2/3 + 0*v**x - v - 1/3*v**5 = 0.
-2, -1, 1
Let 0 - 28/3*d**4 + 32/3*d - 104/3*d**3 - 80/3*d**2 = 0. Calculate d.
-2, 0, 2/7
Let k = 1/8 + 5/24. Let x(w) = -w**3 + 9*w**2 - w + 13. Let n be x(9). Let 1/3*v**3 - 1/3*v + 1/3*v**n - k*v**2 + 0 = 0. Calculate v.
-1, 0, 1
Let k be 49/(-84) - (-3)/4. Let n(v) be the first derivative of -2 + 1/9*v**3 + 1/12*v**4 - 1/15*v**5 - k*v**2 + 0*v. Suppose n(h) = 0. Calculate h.
-1, 0, 1
Let n be 1/((1 - 5) + 11). Let l(a) be the second derivative of a + 0 + 0*a**5 + n*a**2 + 0*a**3 - 1/21*a**4 + 1/105*a**6. Factor l(u).
2*(u - 1)**2*(u + 1)**2/7
Let s(h) be the first derivative of -h**5/120 - h**4/48 + h**3/6 - 3*h**2/2 + 4. Let q(r) be the second derivative of s(r). What is u in q(u) = 0?
-2, 1
Let q be (((-6)/15)/(1/(-1)))/2. Factor -q*v**4 + 3/5*v**3 + 0 + 1/5*v - 3/5*v**2.
-v*(v - 1)**3/5
Let h = -45 - -136/3. What is r in 0 + 0*r + 0*r**4 - 1/3*r**3 + 0*r**2 + h*r**5 = 0?
-1, 0, 1
Let u be 17/21 - 5/(-15). Suppose -o + 3*g = -17, 0*o - 16 = 2*o + 4*g. Find c, given that 8/7*c**3 - 2*c + u*c**o + 4/7 = 0.
-2, 1/2
Factor 188 - 188 - 4*j**4 + j**2 - 5*j**2 - 8*j**3.
-4*j**2*(j + 1)**2
Let a be 1 + 2 + 2/(2/1). Let u(k) be the second derivative of a*k + 0*k**2 + 0*k**4 + 1/27*k**3 - 1/45*k**5 + 0*k**6 + 1/189*k**7 + 0. Factor u(f).
2*f*(f - 1)**2*(f + 1)**2/9
Let n(q) = 7*q**2 + 9*q - 10. Let f(h) = -h**2 - h + 1. Let d(j) = -6*f(j) - n(j). Solve d(g) = 0 for g.
-4, 1
Let u(d) be the first derivative of d**7/3360 - d**6/1440 + 3*d**3 - 1. Let c(q) be the third derivative of u(q). What is a in c(a) = 0?
0, 1
Let q(z) be the first derivative of z**4/12 - 3*z - 1. Let j(x) be the first derivative of q(x). Factor j(k).
k**2
Let h(f) be the first derivative of -3*f**5/20 + f**4/2 - f**3/2 - 2*f - 1. Let m(d) be the first derivative of h(d). Factor m(v).
-3*v*(v - 1)**2
Let b(t) = t**2 + 8*t + 7. Let n be b(-7). Let m(g) be the second derivative of 1/60*g**5 + n*g**4 - 1/18*g**3 + 0*g**2 + 0 + g. Suppose m(q) = 0. Calculate q.
-1, 0, 1
Solve 3/4*u**4 - 3*u**2 - 3/4 + 21/8*u - 3/8*u**5 + 3/4*u**3 = 0.
-2, 1
Let w(s) be the first derivative of -5/7*s**2 + 4/7*s - 2/3*s**3 + 2. Let w(k) = 0. What is k?
-1, 2/7
Suppose -3*o = 3*o - 18. Factor 0 + 8/9*u + 98/9*u**o - 56/9*u**2.
2*u*(7*u - 2)**2/9
Let k = 45/196 - -1/49. Let s(u) be the first derivative of 1/5*u**5 - k*u**4 - u**3 + 4 + 5/2*u**2 - 2*u. Find g such that s(g) = 0.
-2, 1
Let u = -2/5 + 9/10. Determine b so that -u*b + 0*b**2 + 1/2*b**3 + 0 = 0.
-1, 0, 1
Let x(s) be the third derivative of s**7/42 + s**6/2 + 11*s**5/12 + 3*s**2 - 7. Factor x(g).
5*g**2*(g + 1)*(g + 11)
Let h(x) = 3*x**3 + 6*x**2 - 3*x - 6. Let m(v) = -v**2 + v. Let b(g) = h(g) + 6*m(g). Let q(j) = j - 1. Let p(k) = b(k) - 6*q(k). Factor p(t).
3*t*(t - 1)*(t + 1)
Let y = -2 - -8. Let h be y/27 - (-50)/18. Factor 0*c + 1/3*c**h + 0 - 1/3*c**4 + 0*c**2.
-c**3*(c - 1)/3
Let o(d) = -d + 8. Let n be o(6). Solve -2*k**5 - 3*k**n - 3*k**4 + 5*k**5 - 5*k**5 + 4*k**2 = 0.
-1, 0, 1/2
Let l(n) be the third derivative of -n**7/840 + n**5/120 + n**3/3 - 2*n**2. Let u(z) be the first derivative of l(z). Suppose u(f) = 0. What is f?
-1, 0, 1
Factor 2*y**3 - y**3 + 15*y**2 - 19*y**2.
y**2*(y - 4)
Suppose 0*t = t + 3*o - 1, 4*o = 2*t - 2. Let d be (-63)/36 + 2*t. Factor -d*v**2 + 1/4 - 1/4*v**3 + 1/4*v.
-(v - 1)*(v + 1)**2/4
Let q(n) = -7*n - 4. Let l be q(-3). Let g = l + -12. Factor -4*k**2 + 1 - g*k**3 + 3*k**2 + 4*k**3 + 0 + k.
-(k - 1)*(k + 1)**2
Factor 0 - 4/13*w**3 - 2/13*w**4 + 0*w + 0*w**2 + 2/13*w**5.
2*w**3*(w - 2)*(w + 1)/13
Let b = -6 + 10. Let r(z) be the first derivative of -1/2*z**b - 1/3*z**2 + 2/15*z**5 - 1 + 2/3*z**3 + 0*z. Factor r(y).
2*y*(y - 1)**3/3
Let x(s) be the third derivative of s**7/5880 - s**6/2520 - 5*s**3/6 + s**2. Let q(t) be the first derivative of x(t). Suppose q(b) = 0. Calculate b.
0, 1
Let l(v) be the second derivative of -v**5/160 - v**4/48 + v**3/16 - 10*v. Factor l(o).
-o*(o - 1)*(o + 3)/8
Let s(w) be the first derivative of -w**4/20 - w**3/5 - 3*w**2/10 - w/5 + 25. Factor s(b).
-(b + 1)**3/5
Let v(q) be the third derivative of 0 + 1/30*q**3 + 0*q - 1/300*q**5 - 2*q**2 + 0*q**4. What is p in v(p) = 0?
-1, 1
Let r(d) be the second derivative of d**5/20 - d**4/6 - d**3/6 + d**2 + 8*d. Factor r(b).
(b - 2)*(b - 1)*(b + 1)
Suppose 19*r = 37 + 1. Suppose 1/2*i**r + 5/2*i + 2 = 0. Calculate i.
-4, -1
Let r(i) be the second derivative of 0 + 5*i + 1/24*i**4 + 1/2*i**2 + 1/4*i**3. Factor r(v).
(v + 1)*(v + 2)/2
Let v(z) be the second derivative of z**5/90 - z**4/36 - 2*z**3/9 - 3*z**2/2 + 4*z. Let a(w) be the first derivative of v(w). Factor a(i).
2*(i - 2)*(i + 1)/3
Let a be 9/(363 + -12)*12/1. Solve 0*k**2 + 2/13 - 4/13*k - 2/13*k**4 + a*k**3 = 0 for k.
-1, 1
Solve 100*j + 1/5*j**4 + 30*j**2 + 125 + 4*j**3 = 0.
-5
Let h = 9 + -7. Solve 2/9*x**3 - 2/9*x - 2/9*x**h + 2/9 = 0.
-1, 1
Let k(v) be the first derivative of v**6/6 + 4*v**5/5 + 3*v**4/2 + 4*v**3/3 + v**2/2 + 1. Factor k(z).
z*(z + 1)**4
Determine l, given that -815 + 217*l**2 +