se p(x) = 0. What is x?
-1, 0, 1
Find n such that -51 + 47 + n**4 - 5*n**4 + 8*n**2 = 0.
-1, 1
Let w be ((-12)/8 + 3)*(-4)/(-12). Determine r so that 1/2*r**4 + 0*r - w*r**2 + 0*r**3 + 0 = 0.
-1, 0, 1
Let a(v) = v**3 - v**2 + v. Let f(b) = 24*b**3 - 62*b**2 + 36*b + 12. Let g(t) = -20*a(t) + 2*f(t). Factor g(m).
4*(m - 3)*(m - 1)*(7*m + 2)
Factor 1/4*t - 1/4*t**2 + 1/2.
-(t - 2)*(t + 1)/4
Factor -3*h**3 + 0*h**2 + 4*h**2 - h - h**2 + h**4.
h*(h - 1)**3
Factor -1/3*o + 0 + 1/3*o**2.
o*(o - 1)/3
Factor 41*o**4 + 44*o**4 - 88*o**4 + 3*o**3 + 6*o**2.
-3*o**2*(o - 2)*(o + 1)
Let h(i) = -i**4 - 9*i**3 + 2*i + 1. Let s(u) = u**3. Let z be (0 - 1)/(2/(-6)). Let v(k) = z*h(k) + 21*s(k). Factor v(w).
-3*(w - 1)*(w + 1)**3
Let i(r) be the second derivative of -r**7/63 - r**6/15 - r**5/15 + 2*r. Suppose i(y) = 0. Calculate y.
-2, -1, 0
Let v be (-4 - -4)*(-4 + 21/6). Factor v + 1/2*h**3 + h + 3/2*h**2.
h*(h + 1)*(h + 2)/2
Factor -1/3*p**2 - 16/3*p - 64/3.
-(p + 8)**2/3
Let g(t) be the third derivative of -t**8/560 + t**6/100 - t**4/40 + 6*t**2. Factor g(w).
-3*w*(w - 1)**2*(w + 1)**2/5
Let x(j) be the third derivative of j**7/420 + j**6/90 + 5*j**3/6 - 4*j**2. Let g(a) be the first derivative of x(a). Factor g(y).
2*y**2*(y + 2)
Factor 9 + 11*d**2 + 57*d**2 - 25 - 72*d**3 + 20*d**4.
4*(d - 2)*(d - 1)**2*(5*d + 2)
Let g be (-187)/(-396) - 16/72. Factor g*m**3 - 1/4*m - 1/4*m**2 + 1/4.
(m - 1)**2*(m + 1)/4
Factor 0 - w**2 - w**4 + 1/4*w + 3/2*w**3 + 1/4*w**5.
w*(w - 1)**4/4
Let x(g) be the second derivative of 2*g**7/105 - 2*g**5/15 + 2*g**3/3 + 3*g**2/2 + 2*g. Let p(r) be the first derivative of x(r). Factor p(t).
4*(t - 1)**2*(t + 1)**2
Suppose 2*f - 4 = 2. Let q(i) be the first derivative of 0*i**2 - 2 - 2/9*i + 2/27*i**f. Solve q(a) = 0 for a.
-1, 1
Let z be (-51)/68 + 5/4. Factor 1/6*x**5 + z*x**2 - 1/2*x**4 + 0 - 1/3*x + 1/6*x**3.
x*(x - 2)*(x - 1)**2*(x + 1)/6
Suppose -3 + 1 = -k. Determine d, given that -8*d**2 + 6*d**2 + 4*d**k + 18 - 12*d = 0.
3
Let i(p) be the first derivative of 1/10*p**4 + 2 + 0*p**5 + 0*p + 0*p**2 - 1/15*p**6 + 0*p**3. Factor i(o).
-2*o**3*(o - 1)*(o + 1)/5
What is c in 4*c**5 + 3*c**3 + 21*c**4 - 4*c**2 - 4*c - 3*c**5 - 17*c**4 = 0?
-2, -1, 0, 1
Determine n, given that -15*n**2 - 10*n**3 - 8*n + 28*n + 32*n**4 - 9 + 29 - 27*n**4 = 0.
-1, 2
Let w be (5/(-3) - -2)*2. Let o be -2 + (12/4 - -1). Find g, given that -4*g**o - 16/3 + 8*g + w*g**3 = 0.
2
Suppose 3*g + 6*g**3 + 6*g - 7*g + 2*g**4 + 6*g**2 = 0. Calculate g.
-1, 0
Suppose 237*o = 248*o. Determine g, given that o*g + 1/5*g**2 - 1/5 = 0.
-1, 1
Suppose 4*f - 2*f = 12. Factor 2*t + 3 + 3 + 6*t**3 - f + 10*t**2 - 2.
2*(t + 1)**2*(3*t - 1)
Let o(b) = -5*b**3 + 10*b**2 - 11*b + 17. Let f(k) = 2*k**3 - 3*k**2 + 4*k - 6. Let g(h) = 17*f(h) + 6*o(h). Factor g(u).
u*(u + 2)*(4*u + 1)
Let t = -3 + 5. Let v be (1/9)/(-6 + (-78)/(-12)). Factor v*a**t + 4/9*a + 0.
2*a*(a + 2)/9
Let i(l) = l - 3. Let p be i(6). Find f, given that 5*f**4 + 41*f**3 - f**2 - 44*f**p - f**2 = 0.
-2/5, 0, 1
Let q(u) = u**3 + 2*u**2. Let b be q(-1). Factor -2 - y - y**3 + 3 - b - 2*y**2.
-y*(y + 1)**2
Let b be (-93)/(-216) - 6/27. Let q(f) be the second derivative of -2*f - 3/40*f**5 + 0 + b*f**4 + 0*f**2 - 1/6*f**3. Factor q(g).
-g*(g - 1)*(3*g - 2)/2
Let v be (-4)/10*(97/(-24) - -4). Let b(m) be the second derivative of -1/12*m**3 + 0 + 1/8*m**4 + m - 3/40*m**5 + 0*m**2 + v*m**6. Let b(t) = 0. What is t?
0, 1
Let m(q) = -2*q**5 - 18*q**4 + 20*q**3. Let w(s) = s**4 - s**3. Let b(j) = 2*m(j) + 44*w(j). Let b(a) = 0. What is a?
0, 1
Let d(s) be the second derivative of -s**7/42 - s**6/15 + 24*s. What is o in d(o) = 0?
-2, 0
Let m(b) = -b**4 + b**2. Let k(n) = 3*n**4 + 2*n**3 - 5*n**2. Let d(w) = k(w) + m(w). What is h in d(h) = 0?
-2, 0, 1
Let q = 8 + -6. Suppose -q*u + 3*p = 1, -2*u - 4*p = -3 - 3. Suppose 2*b - 2 + 3 - u - b**2 = 0. What is b?
0, 2
Let t(w) be the second derivative of w**4/54 - 2*w**3/27 + w**2/9 - 7*w. Suppose t(b) = 0. What is b?
1
Let n(c) = 3*c**2 + 16*c - 9. Let j be n(-9). Let t be j/81*(-6)/(-10). Let -1/3*f + 1/3*f**2 - t = 0. Calculate f.
-1, 2
Factor -103*x**2 - 5*x**3 + 51*x**2 + 47*x**2.
-5*x**2*(x + 1)
Let d(z) be the third derivative of z**8/84 + z**7/70 - z**6/24 - z**5/20 + z**4/24 - 18*z**2. Determine p so that d(p) = 0.
-1, 0, 1/4, 1
Let q(g) be the second derivative of -3*g**5/80 + g**4/16 + 7*g + 7. Factor q(a).
-3*a**2*(a - 1)/4
Let q(l) be the third derivative of l**7/2520 - l**6/1080 - l**5/360 + l**4/72 + l**3/6 + 9*l**2. Let t(y) be the first derivative of q(y). Factor t(d).
(d - 1)**2*(d + 1)/3
Let s = 19/80 + 9/16. What is k in -6/5*k + 2/5 + s*k**2 = 0?
1/2, 1
Let d = -152/3 + 29342/579. Let m = 400/1351 - d. Find q, given that -m*q**2 + 4/7*q - 2/7 = 0.
1
Let o(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y + 1/15*y**5 + 0 - 1/60*y**6 + 5*y**2. Factor o(b).
-2*b**2*(b - 2)
Solve 12/7*u - 3/7*u**2 + 0 = 0.
0, 4
Let f(a) = -4*a - 4*a - 1 - a**2 - 9 + 0*a. Let u be f(-6). Factor 0*q + 0 - 3/2*q**3 + 1/2*q**u + 3/2*q**4 - 1/2*q**5.
-q**2*(q - 1)**3/2
Let w be -2 - -6*(-1 - -2). Let l(i) be the third derivative of 1/30*i**3 + 1/60*i**w + i**2 + 0*i + 0 + 1/300*i**5. Factor l(d).
(d + 1)**2/5
Let c(d) = -d**3 + 10*d**2 - 3. Let v be c(10). Let j be -1 - -4 - 3 - v. Solve 3*h + 0 - 1 + h**3 + 0*h**3 - j*h**2 = 0 for h.
1
Let i be 3*(-2)/(-15)*20. Let h = -5 + i. Let -5*l**3 + 3*l + 3*l**3 + h*l**3 + l**2 + 2*l**2 + 1 = 0. What is l?
-1
Let x = 1578 - 12621/8. Determine f so that -f**3 + 11/8*f**2 + 0 - 1/2*f**4 - x*f = 0.
-3, 0, 1/2
Let r = 3 - 1. Suppose -i + 2*g + 16 = -r*g, 9 = -3*g. Factor 2*p**3 - i*p - p**3 + 2*p - p**2.
p*(p - 2)*(p + 1)
Let g(n) be the third derivative of 1/6*n**4 + 0*n**3 + 0 - 1/30*n**5 + 0*n + 3*n**2. What is j in g(j) = 0?
0, 2
Let h(m) be the first derivative of 2/15*m**3 + 1 - 2/25*m**5 + 1/15*m**6 + 0*m + 0*m**2 - 1/10*m**4. Find a such that h(a) = 0.
-1, 0, 1
Let f = 2 + 10. Suppose -2 = 5*r - f. Factor 4/11*k**3 + 0*k**r + 0 + 0*k - 10/11*k**4 + 6/11*k**5.
2*k**3*(k - 1)*(3*k - 2)/11
Let f(z) be the first derivative of z**6/39 - 2*z**5/65 - 5*z**4/13 - 16*z**3/39 + 18. Suppose f(q) = 0. Calculate q.
-2, -1, 0, 4
Suppose -c + 35 = 5*q + 10, 20 = 4*q + 5*c. Suppose 2*m**2 + 3*m**4 - 2*m**3 + 8*m**3 - 6*m - q*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let t be 7/2*12/21. Let n(p) be the second derivative of -1/3*p**3 + 1/10*p**5 + 1/6*p**4 - 1/15*p**6 + 0 + 0*p**t + 2*p. What is s in n(s) = 0?
-1, 0, 1
Let l be -2 - (-3)/(297/201). Let q(v) be the third derivative of -1/66*v**4 + 1/330*v**6 - 4*v**2 + 0 + 0*v + 0*v**5 - l*v**3 + 1/1155*v**7. Factor q(f).
2*(f - 1)*(f + 1)**3/11
Let g(m) = 2*m**2 - m + 1. Let a be g(-3). Find p such that 2*p**2 + a*p**2 - 3*p - 33*p**3 - 39*p**3 + 3*p**2 + 48*p**4 = 0.
0, 1/4, 1
Factor 0*v + 2/9 - 2/9*v**2.
-2*(v - 1)*(v + 1)/9
Suppose 4*s - 60 = -s. Suppose 2*h - 6*h = 3*r - 36, 3*r = 4*h - 12. Factor -19*d + 4*d**4 - s + 2*d**4 + 7*d + 9*d**2 + h*d**3 - 9*d**4.
-3*(d - 2)**2*(d + 1)**2
Let r(h) = -h**3 + 9*h**2 + 11*h - 6. Let j be r(10). Solve -j*w**2 + 0*w - 3*w**3 - 3*w - 2*w**2 = 0 for w.
-1, 0
Factor 3/7 - 4/7*q + 1/7*q**2.
(q - 3)*(q - 1)/7
Let u be 3/4*1152/270. Solve u + 10*d**5 - 68/5*d**2 + 98/5*d**3 - 8*d + 32*d**4 = 0 for d.
-2, -1, 2/5
Determine s, given that 5*s + 35/3*s**3 - 12*s**2 - 4*s**4 - 2/3 = 0.
1/4, 2/3, 1
Let n(z) be the third derivative of 1/42*z**4 + 1/210*z**5 + 5*z**2 + 0*z**3 + 0*z + 0. Factor n(k).
2*k*(k + 2)/7
Determine u, given that 3*u**5 + 0*u**4 + u**4 + 2*u**4 + 0*u**5 = 0.
-1, 0
Suppose 0 = 3*s + 3*l + 17 - 83, -4*s - 2*l = -78. Suppose -2*t + 0*p - s = -5*p, -22 = -3*t - 2*p. Factor -1/2*f**t + 0 + 0*f**2 - 1/2*f**3 + 0*f.
-f**3*(f + 1)/2
Let k(g) be the second derivative of 7*g**4/15 + 74*g**3/15 + 4*g**2 + 50*g. Factor k(q).
4*(q + 5)*(7*q + 2)/5
Let f(i) = -8. Let t(k) = k**2. Let v(m) = f(m) + 2*t(m). Factor v(p).
2*(p - 2)*(p + 2)
Let p be (55/5 - 7) + (-3 - -1). Let r(q) be the first derivative of 1 - 2/5*q**p + 2/5*q + 2/15*q**3. Factor r(i).
2*(i - 1)**2/5
Let n(l) be the third derivative of l**6/120 + 3*l**5/80 - 5*l**4/48 - l**3/8 - l**2 - 14. Factor n(g).
(g - 1)*(g + 3)*(4*g + 1)/4
Factor -12*g**2 + 72*g**2 + 38*g**3 + 5*g**4 + 2*g**3 + 0*g**4.
5*g**2