6 + 1/21*j**7 + 2/3*j**3 + 0*j**2 + 9/10*j**5. Factor l(t).
2*t*(t - 2)*(t - 1)**3
Let v(i) be the first derivative of 3*i + 7 - 9/5*i**5 + 9/2*i**2 - 1/2*i**6 - 3/2*i**4 + 2*i**3. What is u in v(u) = 0?
-1, 1
Let i be (-4)/14 - 8/(-28). Let v(g) be the first derivative of 2/21*g**3 + 0*g - 3/14*g**4 - 2 + i*g**2 + 6/35*g**5 - 1/21*g**6. Factor v(a).
-2*a**2*(a - 1)**3/7
Factor 0*f**4 + 5*f**5 + 10*f**2 - 5 + 5*f + 0*f**5 - 10*f**3 - 5*f**4.
5*(f - 1)**3*(f + 1)**2
Suppose 1/4*p**3 + 0 + p + p**2 = 0. Calculate p.
-2, 0
Let q(h) be the third derivative of -h**6/24 - 5*h**5/12 - 5*h**4/3 - 10*h**3/3 + h**2. Factor q(i).
-5*(i + 1)*(i + 2)**2
Let p be 3*(3 - 2) + -1. What is i in -i - 2*i**2 + 0*i**p + 3*i**2 + i**3 - 1 = 0?
-1, 1
Suppose o + q = 0, 0 = 4*o - q + 3*q - 8. Solve 2*g + 0*g**5 - g**2 - 5*g**2 + 2*g**2 - 2*g**5 + 4*g**o = 0.
-1, 0, 1
Factor 3*r**4 + 5*r**3 - 7*r**2 + 9*r - 11*r**2 + 3*r**2 - 2*r**3.
3*r*(r - 1)**2*(r + 3)
Let d(z) be the second derivative of 3*z**5/35 + 5*z**4/28 + z**3/14 + 2*z. Solve d(o) = 0 for o.
-1, -1/4, 0
Let k(d) = 5*d**3 + 10*d**2 - 25*d - 15. Let o(j) = -j**4 + j**3 + j**2 + j - 1. Let y(u) = k(u) + 5*o(u). Factor y(i).
-5*(i - 2)**2*(i + 1)**2
Let v = 72/7 - 35. Let y = 25 + v. Suppose -y*i - 2/7*i**3 - 4/7*i**2 + 0 = 0. What is i?
-1, 0
Suppose 4*a - 4 = 2*a. Let c be 1/5 + 42/15. Factor -2*x**2 - 4*x + x**5 + 5*x - x**4 - a*x**c + 4*x**2 - 1.
(x - 1)**3*(x + 1)**2
Let k(r) = -r**2 - 7*r - 4. Let d be k(-6). Let l(c) = c**3 - 3 + 0*c**3 + d. Let n(a) = -7*a**3 + a**2 + 6. Let b(z) = 6*l(z) + n(z). Factor b(s).
-s**2*(s - 1)
Let x(i) = 8*i**3 - 20*i**2 + 16*i - 8. Let d(b) = -7*b**3 + 19*b**2 - 17*b + 8. Let o(k) = 4*d(k) + 3*x(k). Factor o(u).
-4*(u - 2)*(u - 1)**2
Let 4*t**3 - 2*t**4 - 3*t**4 - 45*t**2 - 20*t - 34*t**3 = 0. Calculate t.
-4, -1, 0
Let f(w) be the second derivative of 0*w**2 + 0 + 0*w**3 + 1/40*w**5 + 2*w + 0*w**4. Factor f(d).
d**3/2
Let c = -3 - -6. Let -4*t**3 - 8*t**2 + 9 + t + c*t - 1 = 0. What is t?
-2, -1, 1
Let y(g) be the third derivative of -1/84*g**4 + g**2 + 2/3*g**3 + 0*g + 0*g**5 + 0 + 1/1260*g**6. Let z(t) be the first derivative of y(t). Factor z(b).
2*(b - 1)*(b + 1)/7
Let u = 4 + -1. Determine o so that 2*o**3 + 0*o**2 + o**3 + o**2 - 2*o**u = 0.
-1, 0
Let o(d) = -d**2 - 3*d - 2. Let q(l) = -l - 2. Let w be q(0). Let c be o(w). Factor -2*p**4 - 3/2*p**3 + 1/4*p + c + 0*p**2 - 3/4*p**5.
-p*(p + 1)**3*(3*p - 1)/4
Let a(s) = -3*s**3 + 9*s**2 - 2*s + 3. Let j(d) = 2*d**3 - 6*d**2 + d - 2. Suppose -6*q + q = 25. Let p(n) = q*a(n) - 7*j(n). Factor p(r).
(r - 1)**3
Let x(h) be the third derivative of -h**10/5040 + h**9/945 - h**8/480 + h**7/630 + h**4/24 + 2*h**2. Let g(t) be the second derivative of x(t). Factor g(d).
-2*d**2*(d - 1)**2*(3*d - 2)
Let y(d) = -d**3 - 6*d**2 + 8*d + 7. Let a be y(-7). Let f = a + 4. What is w in w**4 - f*w - 2*w**2 + 1 + 10*w - 6*w = 0?
-1, 1
Let f(w) be the third derivative of -w**8/224 - w**7/140 + w**6/40 - 19*w**2 - 2. Suppose f(n) = 0. Calculate n.
-2, 0, 1
Let b = 15 - 15. Let c(p) be the third derivative of 0 - 2*p**2 + 1/240*p**5 + 0*p**3 + b*p + 0*p**4. Solve c(k) = 0 for k.
0
Suppose 3*n**3 + 24/5 - 3/5*n**5 - 12/5*n - 6*n**2 + 6/5*n**4 = 0. What is n?
-2, -1, 1, 2
Suppose 0 = -2*i + i + 4. Find s such that -12 - 12*s + 9*s - i*s**2 + 0*s**2 - 13*s = 0.
-3, -1
Suppose 0*r = -2*r. Let n(v) be the first derivative of 2/15*v**3 - 2 + 1/10*v**2 + 1/20*v**4 + r*v. Let n(l) = 0. What is l?
-1, 0
Let g(j) be the first derivative of -j**5/20 - j**4/4 + 2*j**2 + 4*j - 14. What is s in g(s) = 0?
-2, 2
Suppose 0 = -2*u - 5 - 11. Let t(o) = o + 8. Let f be t(u). Factor f + 2/7*c - 2/7*c**2.
-2*c*(c - 1)/7
Let n(v) be the second derivative of 0*v**2 + 0 + 1/36*v**4 - 1/540*v**6 + 2*v + 0*v**5 + 1/3*v**3. Let t(u) be the second derivative of n(u). Factor t(m).
-2*(m - 1)*(m + 1)/3
Let d = -925 - -927. Let -2/7*f - 2/7*f**d + 4/7 = 0. What is f?
-2, 1
Let u(d) be the first derivative of d**4/8 - d**3 + 9*d**2/4 - 2*d - 5. Factor u(g).
(g - 4)*(g - 1)**2/2
Let -1/3*c**2 - 1/3*c**5 - c**4 + 0 - c**3 + 0*c = 0. Calculate c.
-1, 0
Suppose 81 = -50*p + 51*p. Let n(l) be the first derivative of 81/2*l**2 + p*l + 9*l**3 - 2 + 3/4*l**4. Factor n(x).
3*(x + 3)**3
Let c = -26 - -28. Let i(u) be the second derivative of 0*u**4 + 0*u**3 + 0 - 1/10*u**5 - 1/21*u**7 + 0*u**2 + c*u - 2/15*u**6. Factor i(b).
-2*b**3*(b + 1)**2
Let j(v) = -v**2 - 3*v + 1. Let f be j(-3). Let o = 3 - f. Suppose -16*h**2 + 0*h + 6*h**4 + o*h**3 + 0*h**3 + 8*h = 0. Calculate h.
-2, 0, 2/3, 1
Let s be ((-8)/10)/(2/(-175)). Let h be (s/4)/5 - 3. Factor -1/2 + z - h*z**2.
-(z - 1)**2/2
What is g in 20/9 + 2/9*g**2 - 14/9*g = 0?
2, 5
Let x(s) be the third derivative of -1/315*s**7 + 0 + 1/90*s**5 + s**2 - 1/504*s**8 + 1/180*s**6 + 0*s + 0*s**4 + 0*s**3. Find j, given that x(j) = 0.
-1, 0, 1
Let g be (-9)/(-30) - (2 + (-10)/4). Let 2/15*n + 8/15*n**2 + 0 + g*n**3 + 8/15*n**4 + 2/15*n**5 = 0. What is n?
-1, 0
Let y be -2 - (0 - 8/2). Let m be ((-4)/10)/(y/(-10)). Determine o, given that -2*o**2 - 2*o**5 - m*o**3 - o**2 + 5*o**4 + 4*o - 1 - o**2 = 0.
-1, 1/2, 1
Let t = -1 - -4. Factor 5*n**t + 2*n - 4*n**3 - 3*n**3.
-2*n*(n - 1)*(n + 1)
Suppose i + 4*d - 32 = 0, -3*i - d + 22 = -96. Let u be (-30)/i*4/(-6). Factor -l**2 + 0 - u*l**3 - 1/2*l.
-l*(l + 1)**2/2
Let q = -58055 - -291907/5. Let f = q - 322. Factor f*c**2 + 24/5*c + 8/5 + 6/5*c**3.
2*(c + 1)*(c + 2)*(3*c + 2)/5
Factor 2/19*g**2 + 2/19*g**3 + 0*g + 0.
2*g**2*(g + 1)/19
Let k(m) = 4*m**3 - 5*m**2 - 4*m - 5. Let c(n) = -n**3 + n**2 + n + 1. Let o(h) = 5*c(h) + k(h). Let o(s) = 0. What is s?
-1, 0, 1
Let j(q) be the second derivative of q**5/20 + q**4/6 - q**3/2 + 13*q. Find p such that j(p) = 0.
-3, 0, 1
Suppose -2*w - 10 = -5*w + o, -12 = 4*w + 5*o. Suppose 0*c + 0*c**3 + 1/2*c**5 + 0*c**w - c**4 + 0 = 0. What is c?
0, 2
Suppose 0*u = -3*u + 15. Suppose 4*c - u*w - 2 = 1, -5*c + w + 9 = 0. What is h in -2/13*h + 2/13*h**3 + 2/13*h**4 - 2/13*h**c + 0 = 0?
-1, 0, 1
Let w(u) be the first derivative of u**4/4 - u**2/2 - 3. Factor w(h).
h*(h - 1)*(h + 1)
Let j(f) = -7*f**5 - 6*f**4 - 7*f**3 + 4*f. Let b(p) = -57*p**5 - 48*p**4 - 57*p**3 + 33*p. Let h(w) = -4*b(w) + 33*j(w). Factor h(u).
-3*u**3*(u + 1)**2
Solve 28*d**3 - 8*d**2 + 4*d**2 - 9*d**2 + 3*d**2 + 6*d**4 = 0 for d.
-5, 0, 1/3
Let r be (-5)/(-3) + (-3)/(-9). Let v be (2/6 - 1)/(-26 - -24). Factor -v*y**3 + 0*y**r + 0*y + 0.
-y**3/3
Factor -2 + 13 - 16*j + 28 + 2*j**2 - 7.
2*(j - 4)**2
Suppose 0 + 16/9*w**4 + 10/9*w**5 + 8/9*w - 16/9*w**2 - 2*w**3 = 0. What is w?
-2, -1, 0, 2/5, 1
Let a = -3/175 - -103/175. What is j in 2/7*j**3 + 0 + a*j + 6/7*j**2 = 0?
-2, -1, 0
Let q(x) be the first derivative of x**6/1440 - x**5/240 + x**4/96 + 2*x**3/3 + 2. Let a(g) be the third derivative of q(g). Suppose a(t) = 0. Calculate t.
1
Let m(s) be the first derivative of -3*s**6/2 - 12*s**5/5 + 3*s**4 + 6*s**3 - 3*s**2/2 - 6*s - 3. Let m(b) = 0. What is b?
-1, 2/3, 1
Let r(x) = -2*x**5 - 8*x**4 - 8*x**3 - 8*x**2 + 8*x + 8. Let n(s) = s**5 + 5*s**4 + 5*s**3 + 5*s**2 - 5*s - 5. Let m(y) = 8*n(y) + 5*r(y). Factor m(c).
-2*c**5
Suppose -49*h = 39 - 137. Determine z, given that h*z - 2/3*z**5 - 8/3*z**4 - 4/3*z**3 + 0 + 8/3*z**2 = 0.
-3, -1, 0, 1
Let l(n) be the first derivative of n**4/16 - 7*n**3/12 - n**2/8 + 7*n/4 - 26. Factor l(t).
(t - 7)*(t - 1)*(t + 1)/4
Let q(h) be the second derivative of -h**7/252 + h**5/120 - 8*h. What is i in q(i) = 0?
-1, 0, 1
Let l be ((-6)/(-36))/(16/6). Let c(y) be the first derivative of -2 - 1/4*y**3 - l*y**4 - 1/4*y - 3/8*y**2. Factor c(f).
-(f + 1)**3/4
Let w(o) be the second derivative of 0*o**3 + 0 + 1/24*o**4 + 0*o**2 + 1/20*o**5 + 1/60*o**6 + o. Find v, given that w(v) = 0.
-1, 0
Let x(m) be the third derivative of -m**5/20 + 5*m**4/4 - m**2 + 6*m. Determine p, given that x(p) = 0.
0, 10
Let b = -77/6 + 13. Let m(x) be the second derivative of 1/30*x**5 - 1/9*x**3 + 0*x**4 + 1/90*x**6 - b*x**2 - x + 0. Factor m(z).
(z - 1)*(z + 1)**3/3
Let l = 2715 + -135739/50. Let f(t) be the second derivative of l*t**5 + 1/15*t**3 - 1/5*t**2 - 2*t + 0 + 4/75*t**6 + 3/10*t**4. Let f(g) = 0. What is g?
-1, 1/4
Let h = -78 + 81. Factor 8/7*r**2 - 2/7*r**h + 4/7 - 10/7*r.
-2*(