3 - 3/5*p**2 + 6/5*p + 0 = 0.
-2, -1, 0, 1
Solve -1/6*x**3 + 7/6*x**2 - 2/3 + 0*x + 1/6*x**5 - 1/2*x**4 = 0 for x.
-1, 1, 2
Let i(o) be the first derivative of 2*o**3/21 + 5*o**2/7 + 8*o/7 - 15. Factor i(x).
2*(x + 1)*(x + 4)/7
Let w = -21/8 - -269/72. Factor 4/9 - w*a**2 + 2/3*a.
-2*(a - 1)*(5*a + 2)/9
Let s(h) = -3*h**2 + 16*h - 7. Let z(y) = -y**2 + 5*y - 2. Let b(r) = -4*s(r) + 14*z(r). Factor b(i).
-2*i*(i - 3)
Let m(d) be the second derivative of 3*d + 1/4*d**4 + 1/2*d**2 - 1/2*d**3 + 0 - 1/20*d**5. Find t, given that m(t) = 0.
1
Factor -35/8*q + 25/8 + 11/8*q**2 - 1/8*q**3.
-(q - 5)**2*(q - 1)/8
Suppose -6*l**3 + 10*l**2 + 3*l**2 - 109 - 4*l**2 + 106 = 0. What is l?
-1/2, 1
Suppose -5*c = -3*p - 17, 3*c - 12 + 5 = 5*p. Factor -h**5 + 2*h - h - 3*h - 9*h**3 - 7*h**2 - 5*h**c.
-h*(h + 1)**3*(h + 2)
Let k(i) be the second derivative of -i**6/30 - i**3/6 - i**2/2 - 3*i. Let a(c) = c**5 - 7*c**4 + 2*c**2 - 6*c - 5. Let h(n) = a(n) - 5*k(n). Factor h(o).
o*(o - 1)**3*(o + 1)
Solve 2/3*i - 8/9 + 2/9*i**2 = 0.
-4, 1
Factor -4/3*t**2 + 0 + 4/3*t - 8/3*t**3.
-4*t*(t + 1)*(2*t - 1)/3
Find v, given that 0 - 364*v**4 + 69*v + 120*v**3 + 139*v**4 + 6 + 237*v**2 - 207*v**4 = 0.
-1/4, -2/9, 1
Let y(j) be the second derivative of -j**5/210 - j**4/14 - 3*j**3/7 + 3*j**2/2 - 5*j. Let z(g) be the first derivative of y(g). Factor z(m).
-2*(m + 3)**2/7
Let w be (15/(-4))/(15/(-40)). Suppose -f = 4*f - w. Factor 8/7*h**4 + 2/7*h + 0 + 12/7*h**3 + 2/7*h**5 + 8/7*h**f.
2*h*(h + 1)**4/7
Let c(a) be the third derivative of a**7/210 - a**6/120 - a**5/60 + a**4/24 - 13*a**2. Factor c(v).
v*(v - 1)**2*(v + 1)
Suppose -4*a + 6 + 19 = -5*w, -2*w = 10. Suppose -v**2 + 0*v**2 + a*v**2 = 0. Calculate v.
0
Determine x, given that 2/9*x - 2/9*x**3 - 10/9*x**2 + 4/9*x**4 + 2/3 = 0.
-1, 1, 3/2
Let m(x) = x**2 - 1. Let y(z) = -5*z**2 + 2*z + 4. Let c(o) = 4*m(o) + y(o). Solve c(l) = 0.
0, 2
Let u be 705/55 + 2/11. Let s be (1 + -1)/(u/13). Factor 2/5*r**2 + s*r + 0.
2*r**2/5
Let d(j) be the first derivative of j**4/32 + j**3/4 + 9*j**2/16 + j/2 - 22. Find m such that d(m) = 0.
-4, -1
Let t(i) = 13*i**2 + 37*i + 5. Let q(n) = -6*n**2 - 18*n - 2. Let f(x) = -5*q(x) - 2*t(x). Factor f(a).
4*a*(a + 4)
Let b(q) = q**2 - 2*q. Let s(g) = g**3 + 5*g**2 + g + 7. Let c be s(-5). Let f be b(c). Factor f - 1/2*z**3 - z**2 - 1/2*z.
-z*(z + 1)**2/2
Suppose -10 = -2*v - 2*i, v - 2*i = 2 - 6. Let x(r) be the first derivative of -r - r**v - 1/3*r**3 + 1. Let x(n) = 0. What is n?
-1
Suppose 10 = 2*m + u, 14 + 8 = 3*m + 5*u. Suppose 0*r + 8/3 - 2/3*r**5 + 2*r**m + 2/3*r**3 - 14/3*r**2 = 0. Calculate r.
-1, 1, 2
Let c be (29 - 1)*(-9)/(-12). What is j in 6 - 19*j**2 + 5*j**2 + c*j - 13*j**2 = 0?
-2/9, 1
Factor 0 - 2*v + 1/4*v**2.
v*(v - 8)/4
Suppose -5*y = 5*r - 11 - 9, 5*y - 11 = -2*r. Factor 4*w + w**3 + 0*w**2 - 2*w**2 - r*w**3.
-2*w*(w - 1)*(w + 2)
Solve 19*h**5 + 13*h**5 + 15*h**4 - 22*h**5 + 5*h**3 = 0 for h.
-1, -1/2, 0
Let r be 3/(0 + -3) + 1. Let c(d) be the third derivative of -1/96*d**4 - 1/240*d**5 + r*d - 4*d**2 + 1/24*d**3 + 0 + 1/480*d**6. Factor c(p).
(p - 1)**2*(p + 1)/4
Factor -2*l + 0*l**2 + 5*l + 3*l**2.
3*l*(l + 1)
Find d, given that -2/7*d**2 - 2/7*d**3 + 2/7*d + 2/7 = 0.
-1, 1
Let w(a) = 0*a**2 - 3*a**2 - 1 - a + 2*a**2. Let x(j) = j**2 - j. Let l(y) = -6*w(y) - 3*x(y). Solve l(t) = 0.
-2, -1
Let n be -2 + 1 + 4/1. Let w be (-9 - -4) + (-92)/(-16). Factor 0*u + 3/4*u**2 - 3/4*u**5 - w*u**4 + 3/4*u**n + 0.
-3*u**2*(u - 1)*(u + 1)**2/4
Let n(o) = o**2 - o - 2. Let b be n(3). Suppose -b*r + 3*a = -20 - 14, 10 = 5*a. Suppose r*u - 10*u - u**2 = 0. What is u?
0
Suppose 7*c = -15*c + 9*c. Factor c*f**2 + 2/7*f**3 + 0 - 2/7*f.
2*f*(f - 1)*(f + 1)/7
Let g = 11 + -6. Suppose 0 = -2*x - 4*l - 2, 2*x + 0*l = g*l + 7. Factor -3*d**2 - 6*d - x + d - d**2.
-(d + 1)*(4*d + 1)
What is k in -9*k**2 + 5*k**2 + 0*k**3 + 4*k**3 = 0?
0, 1
Let f(i) = -i**3 + 17*i**2 + 17*i + 20. Let t be f(18). Let 2/7*r**3 + 10/7*r + 4/7 + 8/7*r**t = 0. What is r?
-2, -1
Factor 1/2*r**4 - 1/2*r**2 + 0 - r + r**3.
r*(r - 1)*(r + 1)*(r + 2)/2
Suppose -4*l = -3*n - 23, -l + 14 + 8 = -4*n. Let -2/3*w**l + 0 + 1/3*w + 1/3*w**3 = 0. What is w?
0, 1
Let b(q) = -5*q**4 - 5*q**3 + 6*q**2 - 6*q. Let j(f) = -13*f**2 - 4*f**2 + 14*f**3 - 11*f**4 + 25*f**4 + 17*f. Let u(z) = 17*b(z) + 6*j(z). Factor u(l).
-l**3*(l + 1)
Determine m, given that -8 - 4/5*m**2 - 28/5*m = 0.
-5, -2
Suppose 0 = -4*c - 5 + 21. Let t(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 1/6*a**c - 2*a. Find f, given that t(f) = 0.
0
Let j(q) = -q - 5. Let p be j(-5). Let w(k) be the third derivative of p*k - 1/180*k**5 + 1/18*k**3 - 2*k**2 + 0*k**4 + 0. Determine c so that w(c) = 0.
-1, 1
Let x = -34 - -34. Let d(i) be the first derivative of -2 + 4/9*i**3 - 1/12*i**4 - 2/3*i**2 + x*i. Factor d(v).
-v*(v - 2)**2/3
Suppose 48/5*f**3 - 6*f + 32/5*f**4 - 4/5 - 46/5*f**2 = 0. Calculate f.
-2, -1/4, 1
Suppose 5 = 5*f + 5*t - 0, 2*t = 2. Let r be f/(1 + (-5 - -2)). Determine n, given that r*n + 1/4*n**3 - 1/4*n**2 + 1/4*n**4 - 1/4*n**5 + 0 = 0.
-1, 0, 1
Let x(k) = 4*k**3 - 3*k**2 + k - 2. Let b be x(2). Let g = b + -18. Factor 6/7*p**5 + 0 - 2/7*p + 16/7*p**4 + 0*p**g + 12/7*p**3.
2*p*(p + 1)**3*(3*p - 1)/7
Suppose -3*a + 4 = -2*g - 5, 0 = -g. Let k be (-4)/a*(-6)/4. Factor -4/3*l - 2/3 - 2/3*l**k.
-2*(l + 1)**2/3
Let p(j) = 2*j - 6. Let b be p(4). Suppose -2*z + 2 = -2. Factor -z*u**b + u**3 - u + 2*u**2.
u*(u - 1)*(u + 1)
Let i(f) be the second derivative of f**2 + 2*f - 2/3*f**3 - 1/30*f**5 - 1/4*f**4 + 0. Let x(g) be the first derivative of i(g). What is d in x(d) = 0?
-2, -1
Let a(z) be the third derivative of -6*z**2 + 1/120*z**6 + 0*z**3 - 1/12*z**4 - 1/60*z**5 + 0*z + 0. Find f, given that a(f) = 0.
-1, 0, 2
Suppose 9*s**2 + 2 + 10*s**2 - 21*s**2 = 0. Calculate s.
-1, 1
Let k(w) = w**2 + w + 1. Suppose 5 = -7*g - 2. Let y(a) = 2*a**2 - 2*a + 3. Suppose 3*i - 7 = -v, 3*v - 3 = -i + 2. Let p(q) = g*y(q) + v*k(q). Factor p(o).
-(o - 2)*(o - 1)
Determine f, given that -2/3 - 1/3*f + 1/3*f**2 = 0.
-1, 2
Let s(i) be the second derivative of -1/126*i**7 + 0*i**2 + 1/60*i**5 + 0 + 1/36*i**4 + 0*i**3 - 5*i - 1/90*i**6. Factor s(h).
-h**2*(h - 1)*(h + 1)**2/3
Let p(t) be the first derivative of -t**3/15 - t**2/5 + 37. Factor p(a).
-a*(a + 2)/5
Let p(v) be the third derivative of -v**7/210 + v**6/24 + 7*v**5/60 - 5*v**4/24 - v**3 - 21*v**2. Solve p(l) = 0.
-1, 1, 6
Suppose f - 3 = -3*n + 2*f, 4*n = 4*f - 4. Factor 0 - 3/2*h**n - 9/2*h.
-3*h*(h + 3)/2
Let q(y) be the second derivative of y**5/10 - 11*y**4/6 + 35*y**3/3 - 25*y**2 - 40*y. Solve q(f) = 0 for f.
1, 5
Let k(l) = -l**3. Let n(v) = -7*v**3 + 3*v - 2. Let f(r) = -6*k(r) + n(r). Factor f(m).
-(m - 1)**2*(m + 2)
Let i = 4 + -2. Determine q, given that 4 + 6*q - 2*q**2 - 3 - i - 3 = 0.
1, 2
Let r(u) be the first derivative of -1/3*u**3 - 3 + 0*u**2 - 1/6*u**6 + 0*u - 3/4*u**4 - 3/5*u**5. Factor r(y).
-y**2*(y + 1)**3
Let a(w) = -w + 9. Let q be a(7). Factor -2/5*i**3 - 6/5*i**q - 2/5 - 6/5*i.
-2*(i + 1)**3/5
Suppose -2*l + 4 + 1 = x, -l = -4*x + 11. Factor 0*k**x + k**3 - 2*k**3 + 2*k + k**2.
-k*(k - 2)*(k + 1)
Let s(k) be the second derivative of -5*k**7/14 + k**6/5 + 9*k**5/4 - 4*k**4 + 2*k**3 + 33*k. What is c in s(c) = 0?
-2, 0, 2/5, 1
Suppose 9*m - 60 = -21*m. Find h such that 0 - h**m - 1/4*h = 0.
-1/4, 0
What is f in -4*f**3 - 28*f**2 + 52*f**2 - 50 - 70*f - 46*f**2 + 2*f**3 = 0?
-5, -1
Let b be 595/(-55) + 7 - (-4 + 0). Factor 2/11*z**3 + 2/11*z**2 - b*z - 2/11.
2*(z - 1)*(z + 1)**2/11
Let p(m) = -37*m**5 + 73*m**4 - 59*m**3 + 6*m**2 - 17. Let f(t) = 6*t**5 - 12*t**4 + 10*t**3 - t**2 + 3. Let h(z) = -34*f(z) - 6*p(z). What is q in h(q) = 0?
0, 1/3, 1
Let z be -3*(1 - 6/(-9)). Let i be -2 + 12*(-1)/z. Suppose 6/5*w**4 + i*w**2 + 0*w + 0 + 8/5*w**3 = 0. Calculate w.
-1, -1/3, 0
Let g be 7/(-21) - (-14)/6. Factor -6 + 4*l**3 + 15*l - 3*l**3 - 12*l**2 + g*l**3.
3*(l - 2)*(l - 1)**2
Let x(g) be the second derivative of 0 + 1/27*g**3 - 1/90*g**5 + 0*g**2 - g + 0*g**4. Solve x(s) = 0.
-1, 0, 1
Let v(c) be the first derivative of c**3/6 - c**2 + 3*c/2 - 2. Determine g, given that v(g) = 0.
1, 3
Let s(a) = a + 9. Let z be s(-7). Factor -1/2*j**z + 0*j + 1/2*j**3 + 0.
j**2*(j - 1)/2
Let h be 4/2 - (