*l + 0*m = 0.
0, 1
Let 2/13*l**5 + 0*l + 18/13*l**2 + 30/13*l**3 + 0 + 14/13*l**4 = 0. What is l?
-3, -1, 0
Let i(p) be the first derivative of 7*p**4/10 + 2*p**3/3 - 16*p**2/5 + 8*p/5 + 3. What is u in i(u) = 0?
-2, 2/7, 1
Let o be ((-16)/8)/(1 - 3). Let a(n) be the first derivative of 1/4*n**5 + o - 1/16*n**4 + 0*n + 0*n**2 - 1/8*n**6 - 1/12*n**3. Find j such that a(j) = 0.
-1/3, 0, 1
Let a be (-30)/(-4) + (-2)/(-4). Factor -5*i - 15*i**3 + a*i**3 + 9*i**3 + 3*i.
2*i*(i - 1)*(i + 1)
Factor -2/7 + 0*y + 2/7*y**2.
2*(y - 1)*(y + 1)/7
Let t(w) = w**2 + w - 3. Let c be t(-3). Factor -o**4 + 2 + c*o**3 - o**2 - 9*o**2 - 3*o + 9*o**2.
-(o - 2)*(o - 1)**2*(o + 1)
Let k(a) be the third derivative of 1/20*a**5 + 0*a + 0*a**3 + 0 + 3*a**2 + 0*a**4 + 1/40*a**6 - 1/112*a**8 - 1/70*a**7. Factor k(m).
-3*m**2*(m - 1)*(m + 1)**2
Let o(l) be the first derivative of -l**5 + 15*l**4/4 - 5*l**3/3 - 15*l**2/2 + 10*l + 29. Solve o(f) = 0.
-1, 1, 2
Let l be 0 - 3/3*0. Let d = 2 + l. Find q such that -q**2 - 2*q**3 + 2*q + 3*q**2 + 0*q - d = 0.
-1, 1
Let h be (-1)/2*(9 - 11). Let g(j) be the first derivative of -1/4*j**3 - h - 5/8*j**2 - 1/2*j. Solve g(x) = 0 for x.
-1, -2/3
Let i(t) be the second derivative of -1/3*t**3 + 0 - 9/10*t**5 + 4/15*t**6 + 0*t**2 + t**4 - t. Factor i(n).
2*n*(n - 1)**2*(4*n - 1)
Let v(f) be the first derivative of 1/2*f**2 - 4 + 0*f - 1/3*f**3. Solve v(y) = 0 for y.
0, 1
Factor 12*l + 2*l**2 + l**4 + 74*l**3 - 78*l**3 + 9 - 4*l**2.
(l - 3)**2*(l + 1)**2
Let a(f) be the first derivative of 3*f**5/110 + f**4/66 - f**3/11 - f**2/11 + 2*f - 5. Let z(m) be the first derivative of a(m). Determine n so that z(n) = 0.
-1, -1/3, 1
Factor 3/8*f + 9/8 - 5/8*f**2 + 1/8*f**3.
(f - 3)**2*(f + 1)/8
Suppose -4*c - 7 = -5*c - r, -r + 3 = -c. Find v such that 6*v**c + 11*v**4 + 3*v**2 - 14*v**4 + 6*v = 0.
-1, 0, 2
Let c be 18*2/(-18)*-3. Let z(d) = d + 8. Let f be z(c). Find w, given that 2 + 2 + 4*w**4 - f*w - 13*w**2 - 14*w**5 + 5*w**2 + 28*w**3 = 0.
-1, 2/7, 1
Let -2/7*f**3 - 4/7 + 2/7*f + 4/7*f**2 = 0. Calculate f.
-1, 1, 2
Let b(w) = -12*w**4 + 28*w**3 + 28*w**2 + 4*w + 16. Let s(v) = v**4 - v**3 - v**2 - 1. Let g(f) = -b(f) - 16*s(f). Factor g(r).
-4*r*(r + 1)**3
Let o(p) be the first derivative of p**5/5 - p**4 + 5*p**3/3 - p**2 - 5. Factor o(s).
s*(s - 2)*(s - 1)**2
Let i(x) be the third derivative of x**7/945 + x**6/108 + x**5/30 + 7*x**4/108 + 2*x**3/27 + 13*x**2. Factor i(b).
2*(b + 1)**3*(b + 2)/9
Let 1/2*c**2 + 0 + 3/2*c**3 + 9/8*c**4 + 0*c = 0. Calculate c.
-2/3, 0
Suppose -4*a + 3 = -a. Let o = a + 5. Determine s, given that -4*s**2 + o*s**2 + 0*s**2 - 2*s = 0.
0, 1
Let n(o) = o**2 + 5*o. Let t be n(-5). Determine r so that t*r**3 + 7*r - 2*r**2 - 2*r**3 + 2 - 5*r = 0.
-1, 1
Let f be (-5 - -8) + 1 + -4. Let t(i) be the second derivative of i**2 + 0*i**3 - 1/6*i**4 + f - i. Factor t(u).
-2*(u - 1)*(u + 1)
Factor -2/5*u**4 + 2/5*u + 2/5*u**2 - 2/5*u**3 + 0.
-2*u*(u - 1)*(u + 1)**2/5
Let p(s) = -s**3 - 20*s**2 + 3*s + 63. Let m be p(-20). Let 4/5 - 4/5*l**m + 14/5*l**2 - 14/5*l = 0. Calculate l.
1/2, 1, 2
Suppose 4*p**2 + 27 + 39 - 11 - 7 - 28*p = 0. Calculate p.
3, 4
Suppose 0 = 4*c - 14 + 2. Let -2*t**3 + 6*t**3 - 4*t**2 - t**4 + 4*t**c - 3*t**5 = 0. Calculate t.
-2, 0, 2/3, 1
Factor -162 + s**2 - 9*s - 3*s**2 - 2*s + 47*s.
-2*(s - 9)**2
Factor 4/7*s + 2/7 + 2/7*s**2.
2*(s + 1)**2/7
Let s(c) be the second derivative of -c**5/40 + c**3/12 - 13*c. Solve s(x) = 0 for x.
-1, 0, 1
Let a(k) be the third derivative of k**8/10080 + k**7/2520 + k**5/12 + 6*k**2. Let x(n) be the third derivative of a(n). Factor x(f).
2*f*(f + 1)
Suppose 4*v = -2*b, v + 2 = 3*v. Let o = -2 - b. Find m, given that 0 - m**4 + 4/3*m**3 - 1/3*m**2 + o*m = 0.
0, 1/3, 1
Determine m, given that -25*m + 9*m**2 - m**2 - 2*m**2 - m**2 = 0.
0, 5
Let v(i) = 5*i**4 - 120*i**3 - 115*i**2 - 60*i - 35. Let d(l) = -l**4 + 20*l**3 + 19*l**2 + 10*l + 6. Let t(m) = -35*d(m) - 6*v(m). What is o in t(o) = 0?
-2, -1, 0
Let 1/3*z**5 + 0 + 5/3*z**3 + 2/3*z**2 + 4/3*z**4 + 0*z = 0. What is z?
-2, -1, 0
Let m(y) be the first derivative of -7*y**5/25 + y**4/10 + 7*y**3/15 - y**2/5 + 11. Factor m(r).
-r*(r - 1)*(r + 1)*(7*r - 2)/5
Let c(u) = u**3 - u**2 + u + 1. Let n(a) = -3*a**4 - 19*a**3 - 13*a**2 - 17*a - 8. Let t(o) = -6*c(o) - n(o). Determine k so that t(k) = 0.
-2, -1, -1/3
Let m(y) = -58*y**4 - 266*y**3 - 504*y**2 - 250*y + 106. Let i(a) = -19*a**4 - 89*a**3 - 168*a**2 - 83*a + 35. Let f(l) = -10*i(l) + 3*m(l). Factor f(r).
4*(r + 2)**3*(4*r - 1)
Let u be 1/(7/2 + -2). Suppose -2*l + 12 - 8 = 0. Determine h so that 2/3*h**l - 4/3*h + u = 0.
1
Let v(t) = 4*t**2 - 10*t. Let o(h) = h. Let k(m) = 6*o(m) + v(m). Factor k(b).
4*b*(b - 1)
Suppose 2*v - v - 5*l = 10, -3*v + 19 = -4*l. Let f(g) be the second derivative of 0 + 4/27*g**4 + 0*g**2 + 1/27*g**3 + 3*g + 8/45*g**v. Factor f(s).
2*s*(4*s + 1)**2/9
Factor q**3 + 12*q + 522 - 4*q**3 - 522 + 9*q**2.
-3*q*(q - 4)*(q + 1)
Let l(k) be the third derivative of 1/60*k**5 + 0*k + 0*k**3 - 1/60*k**6 + 0*k**4 + 1/210*k**7 - 4*k**2 + 0. Factor l(q).
q**2*(q - 1)**2
Suppose 0 = -3*r - 5*o + 6, 6*r + 4*o - 10 = r. Let -1/5*w**4 - 1/5*w**3 + 0*w**r + 0*w + 0 = 0. Calculate w.
-1, 0
Let g(y) = -7*y**4 - 31*y**3 + 51*y**2 - 41*y + 10. Let u(r) = 2*r**4 + r**3 - r**2 + r. Let d(s) = -g(s) - 6*u(s). Factor d(t).
-5*(t - 2)*(t - 1)**3
Let f(w) = -w**2 - 2*w + 2. Let n(y) = 2*y**2 - 4 + y + 2*y + 2*y. Let g(s) = 7*f(s) + 3*n(s). Suppose g(j) = 0. Calculate j.
-1, 2
Let h(b) be the second derivative of -b**7/630 + b**4/12 - 3*b. Let d(u) be the third derivative of h(u). Find f such that d(f) = 0.
0
Let y(w) be the third derivative of w**5/20 - w**4/4 + w**3/2 - 3*w**2. Solve y(z) = 0.
1
Suppose 5*w = 20, 3*z + 5 = w + 1. Let d = z + 3. Find p such that 1/4 + 5/4*p + 7/4*p**2 + 3/4*p**d = 0.
-1, -1/3
Let n(a) be the third derivative of 4*a**5/15 - 8*a**3/3 + 2*a**2. Let h(o) = -3*o**2 + 3. Let u(p) = 22*h(p) + 4*n(p). What is w in u(w) = 0?
-1, 1
Let j be ((-6)/9)/1*9/(-30). Factor 16/5 + 8/5*t + j*t**2.
(t + 4)**2/5
Let p(j) be the first derivative of 3*j**5/5 + 39*j**4/4 + 60*j**3 + 168*j**2 + 192*j - 13. Solve p(w) = 0.
-4, -1
Let w(t) be the second derivative of -t**5/10 + t**4/6 + 2*t**3/3 + 5*t. Factor w(q).
-2*q*(q - 2)*(q + 1)
Let 24/7*k + 0 - 2/7*k**2 = 0. What is k?
0, 12
What is g in -2/5*g**2 - 4/5*g**3 + 2*g - 4/5 = 0?
-2, 1/2, 1
Let f = -6 + 14. Suppose 0 = -9*q + f*q. Factor 2/3*x + q + 8/3*x**3 + 10/3*x**2.
2*x*(x + 1)*(4*x + 1)/3
Suppose -2 = -4*q + 10. Suppose q*m = -m. Find n, given that 0*n**4 + 4/7*n**3 + 0*n**2 + m - 2/7*n - 2/7*n**5 = 0.
-1, 0, 1
Let g be ((-423)/(-54) - 8)*1*-3. Factor 3/4*u - g*u**2 - 1/4 - 1/2*u**3 - 1/4*u**5 + 3/4*u**4.
-(u - 1)**4*(u + 1)/4
Let m = 232 + -406. Let f = 1220/7 + m. Determine k, given that 0 + f*k + 2/7*k**2 = 0.
-1, 0
Factor 16*m - 21*m**2 + 7 - 2*m**3 - m**3 + 14 - 13*m.
-3*(m - 1)*(m + 1)*(m + 7)
Let y(d) be the third derivative of d**8/40320 - d**7/5040 - d**5/60 - 3*d**2. Let q(l) be the third derivative of y(l). Factor q(z).
z*(z - 2)/2
Suppose 2*z = 2*w + z - 7, -5*w = -5*z - 20. Factor -4*h**3 - 2*h**3 + 0*h + 4*h**4 + 4*h**2 - h**5 - h + 0*h**w.
-h*(h - 1)**4
Suppose 6*y + 20 = 2*y, -3 = -2*n - y. Suppose 3*r + 4*f - 3 + n = 0, -4*r = 2*f - 12. Factor -8 - 6*o**2 + 7*o + r*o - 3*o**3 + 4*o**3.
(o - 2)**3
Let j(q) = q**2. Let l(z) be the third derivative of z**5/20 - 5*z**4/24 - z**3/3 - 4*z**2. Let g(i) = 4*j(i) + l(i). Factor g(r).
(r - 1)*(7*r + 2)
Let l be (-4)/(-16) + (-1)/(-4). Let i(c) be the first derivative of -l*c**2 + 2 - 1/4*c**4 + 0*c + 2/3*c**3. Factor i(m).
-m*(m - 1)**2
Let w be 24/30*(-1)/(-4). Determine z so that 0 - 2/5*z + 0*z**3 + w*z**4 - 3/5*z**2 = 0.
-1, 0, 2
Suppose 4 = 5*h - 16. Let s(k) = k**3 - 6*k**2 + 6*k. Let a be s(5). What is n in 2*n - a*n**4 - 2*n + 6*n**h - n**2 - n**3 + n = 0?
-1, 0, 1
What is r in -9/2*r**2 - 3/2*r + 3/2*r**3 + 9/2 = 0?
-1, 1, 3
Let o(r) = 5*r**3 + 4*r**2 - 8*r + 12. Let h(g) = 9*g**3 + 7*g**2 - 17*g + 25. Let q(x) = 4*h(x) - 7*o(x). Factor q(y).
(y - 2)**2*(y + 4)
Let u(d) be the second derivative of -d**6/2700 - 5*d**3/6 + 9*d. Let t(c) be the second derivative of u(c). Factor t(m).
-2*m**2/15
Let k(o) = -2*o**4 - 2*o**3 - o**2 + 2*o -