*(u - 1)*(5*u - 2)**2
Let 14*p**4 + 15*p**2 - 16 - 2 + 21*p**3 - 11*p**4 - 21*p = 0. What is p?
-6, -1, 1
Let t(c) = -c**2 + 6*c - 3. Let v be t(5). Let a(l) be the second derivative of 0*l**3 + 0*l**v + 0 - 1/42*l**4 - l. Factor a(z).
-2*z**2/7
Let q be 38/9 + (4 + 0)*-1. Solve 0*i**2 + 4/9*i**3 - 2/9*i + 0*i**4 + 0 - q*i**5 = 0 for i.
-1, 0, 1
Let w(g) = -g**3 + 10*g**2 - 15*g + 57. Let s be w(9). Factor -8/13*x + 8/13 - 14/13*x**2 - 4/13*x**s.
-2*(x + 2)**2*(2*x - 1)/13
Suppose 4*b + 4*z = -0*b + 32, 6 = -3*z. Let x = 17 - b. Determine w, given that x + 4*w - 2*w**3 - 3 + 2*w = 0.
-1, 2
Let 0*j**2 + 3*j**2 + 22 + 37 + 24*j - 11 = 0. Calculate j.
-4
Factor -i**4 + 13*i**4 + 3*i**2 + 3*i**5 + 10*i**4 + 9*i**3 - 13*i**4.
3*i**2*(i + 1)**3
Let w(x) be the second derivative of 1/9*x**4 + 1/30*x**5 + 1/9*x**3 + 0*x**2 + 0 - x. Solve w(f) = 0 for f.
-1, 0
Let o(b) be the first derivative of -3/4*b**4 + 0*b + b**3 + 5 - 1/2*b**2 + 1/5*b**5. Factor o(r).
r*(r - 1)**3
Suppose -5*t**2 + 12*t**3 - 2*t**5 - 2*t**5 + 13*t**2 = 0. Calculate t.
-1, 0, 2
Let j(f) be the second derivative of -3*f**8/560 - f**7/70 - f**6/120 - f**3/3 + 4*f. Let k(w) be the second derivative of j(w). Factor k(z).
-3*z**2*(z + 1)*(3*z + 1)
Let k be -3*((-3)/5 + 32/(-80)). Let r(n) be the third derivative of 0 - 4*n**2 + 0*n + 1/3*n**k + 1/6*n**4 - 1/30*n**6 - 1/30*n**5. Let r(d) = 0. Calculate d.
-1, -1/2, 1
Let q = -192 + 196. Factor 0 + 1/6*a**q - 1/6*a + 1/6*a**3 - 1/6*a**2.
a*(a - 1)*(a + 1)**2/6
Let g be 0*3*2/(-12). Let h(p) be the first derivative of -2/3*p**4 - 2/3*p**3 - 1 + g*p + 1/3*p**2. Suppose h(a) = 0. What is a?
-1, 0, 1/4
Let f(k) be the third derivative of -1/15*k**3 - 1/50*k**5 + 0*k + 0 + 1/20*k**4 + 1/300*k**6 - k**2. Factor f(q).
2*(q - 1)**3/5
Let y(v) be the second derivative of 2/45*v**5 + 2*v + 1/27*v**3 + 5/27*v**4 + 0 - 2/9*v**2 - 8/135*v**6 - 5/189*v**7. Let y(g) = 0. Calculate g.
-1, 2/5, 1
Let i(q) = -9*q**2 - 11*q + 7. Let d(k) = -5*k**2 - 6*k + 4. Suppose -20 = -2*r - 3*r. Let s(l) = r*i(l) - 7*d(l). Solve s(f) = 0.
-2, 0
Let v(w) be the first derivative of 7*w**5/25 + 3*w**4/5 + w**3/5 - w**2/5 + 3. Factor v(h).
h*(h + 1)**2*(7*h - 2)/5
Let f be (-15)/(-28) + 11/(-44). Let m(i) be the first derivative of -f*i**2 - 1 + 2/21*i**3 + 2/7*i. Find p such that m(p) = 0.
1
Let a be (-4)/(417/(-399) + 1). Let t = a - 88. Determine z so that -1/3*z**2 - t + z = 0.
1, 2
Suppose -2*x + 0*w + 2*w = 0, 4*x = -4*w + 16. Suppose 0 - 4/3*b + 2/3*b**x = 0. Calculate b.
0, 2
Let t(j) be the third derivative of j**5/50 - 7*j**4/40 + 3*j**3/5 - 10*j**2. Suppose t(l) = 0. Calculate l.
3/2, 2
Let m(q) = q**2 + 4*q - 5. Let z be m(-5). Let p be z/((0 + 2)*-1). Factor p + 0*d - 2/5*d**3 - 2/5*d**4 + 0*d**2.
-2*d**3*(d + 1)/5
Let w = -10/667 + -59333/2001. Let r = 30 + w. Factor -1/3*g + 1/3 + 1/3*g**3 - r*g**2.
(g - 1)**2*(g + 1)/3
Let a(h) be the third derivative of h**7/56 - h**6/15 - h**5/10 - 5*h**3/6 + 3*h**2. Let d(f) be the first derivative of a(f). Factor d(g).
3*g*(g - 2)*(5*g + 2)
Let j = 35 + -26. Let -12*y**2 + j*y**2 - 12*y**5 + 0*y**2 + 3*y**4 + 12*y**3 = 0. Calculate y.
-1, 0, 1/4, 1
Let f(p) be the third derivative of 0*p**6 + 0*p**3 + 0*p + 4*p**2 - 1/30*p**5 + 1/105*p**7 - 1/24*p**4 + 1/336*p**8 + 0. Solve f(h) = 0.
-1, 0, 1
Let h(r) = -76*r**2 - 3 - 2 + 6*r + 75*r**2. Let u be h(4). Find w, given that -7/2*w + 4*w**2 - 3/2*w**u + 1 = 0.
2/3, 1
Suppose 3*m - 7 - 8 = 0. Find c such that -19*c + 6*c**4 - 4*c**3 + c**3 + 19*c - 3*c**m = 0.
0, 1
Suppose -o = z - 4*z - 27, -z - 5 = 0. Find d, given that -o*d**3 - 8*d**2 + 61*d**4 - 64*d**4 - 4*d**2 = 0.
-2, 0
Let f(s) be the first derivative of s**4/8 + s**3/3 - s**2/4 - s - 10. Factor f(b).
(b - 1)*(b + 1)*(b + 2)/2
Suppose 5*h + 5*k - 53 = h, -4*h + 48 = 4*k. Factor q - q**2 + h*q + 4*q**2 + q**2.
4*q*(q + 2)
Let i be 42/12 - (1 + 2). Let u be -2 + (-1 - (-26)/8). Factor -u + i*l**2 + 1/4*l.
(l + 1)*(2*l - 1)/4
Let k(f) = 5*f - 2. Let q be k(-2). Let r be q/(-26)*168/9. Suppose -96/13*s**3 + 4/13 - 38/13*s + r*s**2 = 0. What is s?
1/4, 2/3
Let l be (-12)/54 + (-16)/(-18). Let x(j) be the first derivative of l*j**3 - 1/4*j**4 - 2 - 2*j + 1/2*j**2. Factor x(r).
-(r - 2)*(r - 1)*(r + 1)
Let m be (14/4)/(1/2). What is h in 4 + 0 + h**2 + h - m*h + h**2 = 0?
1, 2
Let y(c) = -c + 6. Let t be y(6). Factor 1 + t*r**2 - r**2 + 2*r**2 - 2*r.
(r - 1)**2
Let j be (-7)/(92 - 1)*40/(-5). Let 0 + 10/13*n**3 - j*n + 6/13*n**4 - 8/13*n**2 = 0. Calculate n.
-2, -2/3, 0, 1
What is w in 22 + 0*w**4 - 111*w**3 + 21*w**4 + 2 + 198*w**2 - 132*w = 0?
2/7, 1, 2
Let b(w) be the third derivative of -w**5/270 + 4*w**3/27 - 7*w**2. Factor b(g).
-2*(g - 2)*(g + 2)/9
Let v(i) be the third derivative of i**5/270 + i**4/54 + i**3/27 + 10*i**2. Factor v(m).
2*(m + 1)**2/9
Let n(x) = -2*x**3 - 2*x**2 - 6*x + 6. Let k(b) = 3*b**3 + 2*b**2 + 7*b - 7. Suppose -3*f = f + 20. Let t(h) = f*n(h) - 4*k(h). Factor t(y).
-2*(y - 1)**2*(y + 1)
Let q(o) be the third derivative of -o**6/180 + o**5/60 + o**4/6 - o**3/6 + 3*o**2. Let g(d) be the first derivative of q(d). Factor g(x).
-2*(x - 2)*(x + 1)
Let u(q) be the third derivative of -q**6/1080 - q**5/360 - q**3/2 + 6*q**2. Let j(p) be the first derivative of u(p). What is y in j(y) = 0?
-1, 0
Let s(m) = 6*m - 2. Let q be s(-2). Let g be 8/q - (-36)/14. Factor -8*i - 3 - 16/3*i**g.
-(4*i + 3)**2/3
Let q = 52/155 + 2/31. What is h in q*h**4 - 2/5*h**3 + 0*h + 0*h**2 + 0 = 0?
0, 1
Suppose -8*m = -2*m - 18. Let h(a) be the third derivative of -a**2 + 0*a**4 + 0 + 0*a**m + 0*a**6 + 1/735*a**7 - 1/210*a**5 + 0*a. Solve h(f) = 0.
-1, 0, 1
Let p(c) be the first derivative of -4*c**3/27 - c**2/3 - 2*c/9 + 10. Factor p(u).
-2*(u + 1)*(2*u + 1)/9
Let -1 - 22*l + 26*l + 1 + 4*l**5 - 8*l**3 = 0. Calculate l.
-1, 0, 1
Let a(b) be the second derivative of 5*b**4/12 - 5*b**3/3 - 4*b. Find u such that a(u) = 0.
0, 2
Let t(i) be the first derivative of -16*i - 4/3*i**3 + 1 + 8*i**2. Let t(d) = 0. Calculate d.
2
Let z(u) = 7*u**5 - 14*u**4 + 37*u**3 - 29*u**2 - 5*u. Let h(k) = -11*k**5 + 21*k**4 - 56*k**3 + 44*k**2 + 8*k. Let m(d) = -5*h(d) - 8*z(d). Factor m(a).
-a**2*(a - 3)*(a - 2)**2
Let o be (3/(-18))/((-14)/68). Let z = o + -1/7. Find h such that 1/3*h**3 + 1/3*h + 0 + z*h**2 = 0.
-1, 0
Let s be 7 - 1/(2 + -1). Suppose -1 + 5 - 5 + 38*f**2 + 22*f + s*f**4 + 5 + 26*f**3 = 0. Calculate f.
-2, -1, -1/3
Let b(q) = -9*q**3 - 30*q**2 - 9*q. Let h(n) = -9*n**3 - 30*n**2 - 9*n. Let c(m) = 2*b(m) - 3*h(m). Factor c(l).
3*l*(l + 3)*(3*l + 1)
Let z(c) be the third derivative of c**5/30 - c**4/4 + 15*c**2. Determine j so that z(j) = 0.
0, 3
Let a(z) = z - 13. Let r(f) = -f**3 + 7*f**2 - 7*f. Let b be r(5). Let w be a(b). Find o such that 1/4*o + 0 - 3/4*o**w = 0.
0, 1/3
Suppose 2*r + 8 = -2*r. Let i(w) = w**2 + w + 2. Let y be i(r). Factor 2/3*h + 0*h**2 - 1/3 - 2/3*h**3 + 1/3*h**y.
(h - 1)**3*(h + 1)/3
Factor 9/2*g - 3 - 3/2*g**2.
-3*(g - 2)*(g - 1)/2
Let u(f) be the first derivative of 3*f**4/16 + f**3/2 + 3*f**2/8 - 1. What is p in u(p) = 0?
-1, 0
Determine w so that 12/5*w**4 + 0*w**2 - 3/5*w**5 + 0 - 9/5*w**3 + 0*w = 0.
0, 1, 3
Let d(t) = 2*t**3 + 2*t**2 + t. Let m(j) = j**3 + j**2 + 2*j. Let h(r) = -4*d(r) + 5*m(r). What is n in h(n) = 0?
-2, 0, 1
Determine j, given that -38/3*j**3 + 50/3*j**2 - 32/3*j + 14/3*j**4 - 2/3*j**5 + 8/3 = 0.
1, 2
Suppose -15 + 2*c**3 - 3*c**2 - 24 + 3*c + 42 - 5*c**3 = 0. Calculate c.
-1, 1
Suppose 2*n + 0 + 10 = 0. Let x = -2 - n. Let 0*d**x - 4*d**2 + d**2 - d**3 - 2*d**3 - d**4 - d = 0. Calculate d.
-1, 0
Factor 5/7*s**3 + 1/7*s**2 - 1/7 - 5/7*s.
(s - 1)*(s + 1)*(5*s + 1)/7
Factor 10*x**2 + 10 - 25*x - 6*x**2 + 16*x**2 - 5*x**3.
-5*(x - 2)*(x - 1)**2
Let k(v) = v + 8. Let c be k(-6). Suppose -1 + c*m**5 + 3 - 20*m**2 + 10*m - 10*m**4 - 4 + 20*m**3 = 0. What is m?
1
Factor -i**2 - 1 + 6*i + 5*i - 9*i.
-(i - 1)**2
Let m(u) be the second derivative of u**4/4 + u**3/2 + 18*u. Factor m(x).
3*x*(x + 1)
Find o such that -1 + 19/2*o**3 + 1/2*o + 15/2*o**2 + 7/2*o**4 = 0.
-1, 2/7
Let w(a) = -7*a**3 + 3*a**2 + 9*a - 1. Let g(n) = -n**3 - 1. Let k(p) = -6*g(p) + w(p). Solve k(r) = 0.
-1, 5
Let y(k) be the second derivative of -k**5/70 + k**4/21 + k**3/7 + 12*k. Determine p so that y(p) = 0.
-