. What is r?
-1, 1
Let q be (24/162)/(8/12). Solve -q*h**2 + 0 + 2/9*h = 0 for h.
0, 1
Suppose 0 = a - 2*z + 9, 2*a + 2*z = -0*z. Let u be -2 + 78/15 + a. Factor 1/5 + u*g**2 + 2/5*g.
(g + 1)**2/5
Let n(r) = -3*r**4 - 60*r**3 - 90*r**2 - 48*r - 3. Let i(k) = -k**4 - 24*k**3 - 36*k**2 - 19*k - 1. Let t(g) = -12*i(g) + 5*n(g). Factor t(b).
-3*(b + 1)**4
Let j(h) be the third derivative of h**7/945 + h**6/270 - h**4/54 - h**3/27 + 11*h**2 + 3. Suppose j(c) = 0. What is c?
-1, 1
Find h such that -3/4*h + 3/8 - 3/8*h**2 + 3/4*h**3 = 0.
-1, 1/2, 1
Let m(n) = 0 + 1 - 2 + 4*n**3 + 2*n - 3*n**2. Let i be -10*-1*4/8. Let x(g) = g**3 + g. Let l(t) = i*x(t) - m(t). Factor l(f).
(f + 1)**3
Let d be 15/200*-2 - 4/(-10). Factor -1/4 - 5/2*u**2 - 5/4*u**4 + d*u**5 + 5/2*u**3 + 5/4*u.
(u - 1)**5/4
What is u in 2/7*u**3 - 2/7*u - 10/7*u**2 + 6/7*u**4 + 4/7 = 0?
-1, 2/3, 1
Let y = -4 - -15. Let c = y - 9. Determine w, given that -3*w - w**2 + 10 - 10 - c*w**2 = 0.
-1, 0
Factor -1/4*v**4 - 1/4 + 0*v**3 + 1/2*v**2 + 0*v.
-(v - 1)**2*(v + 1)**2/4
Let h(s) be the second derivative of s**4/114 - s**3/57 - 2*s**2/19 - 11*s. Factor h(n).
2*(n - 2)*(n + 1)/19
Factor -29*a + 14*a + 19*a - 4*a**3.
-4*a*(a - 1)*(a + 1)
Let i(f) = f**5 - 25*f**4 + 35*f**3 - 11*f**2. Let k(d) = 15*d**5 - 350*d**4 + 490*d**3 - 155*d**2. Let j(m) = 55*i(m) - 4*k(m). Factor j(g).
-5*g**2*(g - 3)*(g - 1)**2
Let c(u) be the second derivative of -u**5/2 + u**4/12 - 4*u**3/3 + 4*u**2 + 4*u. Let t(a) = a**3 + a - 1. Let z(f) = 2*c(f) + 18*t(f). Factor z(k).
-2*(k - 1)**2*(k + 1)
Let -5/6*t**3 + 0*t - 1/3*t**2 + 0 - 2/3*t**4 - 1/6*t**5 = 0. What is t?
-2, -1, 0
Let g(x) = 2*x**2 + 12*x - 14. Let r(v) = -v**2 + 1. Let n(c) = -g(c) - 6*r(c). Factor n(p).
4*(p - 2)*(p - 1)
Let z(r) = r**2 - 6*r + 7. Let h be z(5). Let v be h/(-60)*4*-3. Factor 0 - v*g - 2/5*g**3 - 4/5*g**2.
-2*g*(g + 1)**2/5
Factor 33*u**2 + 5*u - 37*u**2 + 11*u.
-4*u*(u - 4)
Suppose p - 4 = -3. Suppose -5 = -2*x - p. Factor -8 - 10*j**x + 0 + 26*j - 10*j + 2*j**3.
2*(j - 2)**2*(j - 1)
Let z(r) be the third derivative of 0*r**3 + 0*r**5 + 1/224*r**8 + 0*r**6 + 0 + 3*r**2 + 0*r + 0*r**4 + 1/140*r**7. Suppose z(w) = 0. Calculate w.
-1, 0
Let q(i) be the second derivative of i**7/42 - 2*i**6/15 + 3*i**5/20 + i**4/3 - 2*i**3/3 - 17*i. Solve q(o) = 0 for o.
-1, 0, 1, 2
Let n be ((-6)/20)/((-6)/(-305)). Let r = n - -16. Factor -1/2*h**2 + 0*h + 1/4*h**3 + 0 + r*h**4.
h**2*(h + 1)*(3*h - 2)/4
Let s(i) be the first derivative of -14/25*i**5 + 16/5*i**2 + 32/5*i - 3 - 16/15*i**3 - 1/15*i**6 - 8/5*i**4. Determine r, given that s(r) = 0.
-2, 1
Let q(b) be the first derivative of b**6/720 - b**4/48 + 4*b**3/3 + 4. Let y(c) be the third derivative of q(c). Factor y(h).
(h - 1)*(h + 1)/2
Let z(q) be the first derivative of -q**6/105 + q**5/35 - 2*q**3/21 + q**2/7 + q + 3. Let p(w) be the first derivative of z(w). Factor p(k).
-2*(k - 1)**3*(k + 1)/7
Let f be (24/(-14))/(27/2304). Let n = -146 - f. Solve 0*r**2 + 0 - n*r**3 + 2/7*r = 0 for r.
-1, 0, 1
Suppose k**3 - 4*k**5 - 18*k**3 + 108 - 23*k**3 - 72*k**2 + 28*k**4 + 108*k = 0. What is k?
-1, 3
Let f(o) = o**3 - o**2 - 2*o. Let h(i) = 3*i**2 - 2*i**3 - i**2 + 2*i - i**2 + i. Let x(d) = -3*f(d) - 2*h(d). Suppose x(b) = 0. What is b?
-1, 0
Let p(m) = 7*m**3 - 12*m**2 + 3*m + 2. Let f(a) = -21*a**3 + 36*a**2 - 9*a - 6. Let v = -5 - -4. Let o be 55/7 - v/7. Let w(c) = o*p(c) + 3*f(c). Factor w(z).
-(z - 1)**2*(7*z + 2)
Let n(y) = -6*y**2 + 146*y - 154. Let a(u) = -u**2 + 29*u - 31. Let w(q) = 14*a(q) - 3*n(q). Factor w(j).
4*(j - 7)*(j - 1)
Let c = -27 + 27. Let s(y) be the first derivative of 0*y + 3 + c*y**2 + 0*y**3 - 1/10*y**5 - 1/8*y**4. Factor s(x).
-x**3*(x + 1)/2
Let q(x) = -x**3 + 7*x**2 - 15*x. Let r be q(6). Let m be r/(-18) + (0 - 1). Factor -5/4*u**5 - 2*u**4 - 1/4*u**3 + 1/2*u**m + 0*u + 0.
-u**2*(u + 1)**2*(5*u - 2)/4
Let f be 74/10 + 8/(-20). Let r = -3 + f. Factor 4*c**5 + c**3 + r*c**4 - 3*c**5 - 6*c**4.
c**3*(c - 1)**2
Factor 2/7*r + 4/7*r**2 + 2/7*r**3 + 0.
2*r*(r + 1)**2/7
What is q in -8/7*q**3 + 16/7*q**2 + 1/7*q**4 + 0 + 0*q = 0?
0, 4
Let y be (-56)/70 - (-49)/5. Let c = -7 + y. Find k, given that 0 + k**3 + 2/5*k + 7/5*k**c = 0.
-1, -2/5, 0
Let o = -73 + 659/9. Find p, given that 0 + 2/9*p - 2/9*p**2 - o*p**3 + 2/9*p**4 = 0.
-1, 0, 1
Let c(k) be the first derivative of -k**6/1260 - k**5/210 - k**4/84 - k**3 + 2. Let y(d) be the third derivative of c(d). Suppose y(a) = 0. Calculate a.
-1
Let a = -177 + 3719/21. Let w(c) be the second derivative of 0 - a*c**3 - 1/42*c**4 + 2*c - 1/7*c**2. Factor w(b).
-2*(b + 1)**2/7
Let x(i) be the third derivative of -i**8/23520 + i**7/8820 + i**6/2520 - i**5/420 + i**4/12 - 3*i**2. Let b(n) be the second derivative of x(n). Factor b(z).
-2*(z - 1)**2*(z + 1)/7
Let s(l) = 6*l**3 - 14*l - 8. Suppose -2*c = c - 6. Let v(j) = -3*j - 2 - 3 - c*j + 2*j**3 + 2. Let r(i) = -3*s(i) + 8*v(i). Find h such that r(h) = 0.
-1, 0, 1
Suppose 2*z = j + 6, 5*z - j - 20 + 8 = 0. Let n(x) = 2*x**2 + 2. Let d(w) = -w - 1. Let l(c) = z*d(c) + n(c). Solve l(g) = 0 for g.
0, 1
Let h = -503/6 - -256/3. Solve -3/2*y + 1/2 - 1/2*y**3 + h*y**2 = 0 for y.
1
Let p(m) be the third derivative of -m**6/600 + m**5/150 + m**4/24 - m**3/5 - 18*m**2. Factor p(r).
-(r - 3)*(r - 1)*(r + 2)/5
Let a(s) = 6*s**3 + 12*s**2 + 6*s - 8. Let h(r) = r**3 + r**2 + r - 1. Suppose -5*t - 36 = 3*j + 4, -32 = 4*t + 5*j. Let z(v) = t*h(v) + a(v). Factor z(c).
-2*c*(c - 1)**2
Suppose 9*y - 10 = 4*y. Suppose y*l = 5*l. Factor -3/4*p**2 + l + 3/2*p.
-3*p*(p - 2)/4
Let b(n) be the first derivative of -2*n**3/9 + n**2 + 27. Factor b(j).
-2*j*(j - 3)/3
Factor 8/5*r - r**2 + 1/5*r**3 - 4/5.
(r - 2)**2*(r - 1)/5
Suppose -3 = g, -3*b - 3*g + 1 = -5. Suppose -4*m = -5*h + 10, -3*m = -b*m. Factor -4/9 + 22/9*z**2 - h*z.
2*(z - 1)*(11*z + 2)/9
Let f(s) be the second derivative of -s**5/80 - 5*s**4/48 - s**3/6 + 33*s. Factor f(d).
-d*(d + 1)*(d + 4)/4
Let t be -2*((-39)/(-21) + -2). Factor 2/7 - t*o - 2/7*o**2 + 2/7*o**3.
2*(o - 1)**2*(o + 1)/7
Find b such that -1 - 3/2*b + 1/2*b**3 + 0*b**2 = 0.
-1, 2
Suppose -x - 5*s + 13 = 0, -3*x + 3*s + 96 = -s. Let j be (2/4)/(42/x). Determine q so that j*q**3 + 2/3 + 4/3*q**2 + 5/3*q = 0.
-2, -1
Let r(j) be the second derivative of -2/3*j**4 - 1/3*j**6 + 0*j**2 + 0*j**3 + 4/5*j**5 - 8*j + 1/21*j**7 + 0. Find y such that r(y) = 0.
0, 1, 2
Let j(r) be the second derivative of 12*r**2 + 3/20*r**5 + 0 + 8*r + 6*r**3 + 3/2*r**4. Solve j(s) = 0.
-2
Let v = 166/5 + -33. Let a(x) be the second derivative of 2*x + 0 - 1/60*x**4 + 1/30*x**3 + v*x**2. Factor a(q).
-(q - 2)*(q + 1)/5
Let f(v) be the second derivative of 7*v**6/135 - 4*v**5/5 + 4*v**4 - 224*v**3/27 + 16*v**2/3 + 33*v. Let f(b) = 0. Calculate b.
2/7, 2, 6
Let l(n) = 11*n**4 - 3*n**3 - 13*n**2 + 5*n + 6. Let o(w) = w**3 - 2*w**4 + 6 + 14*w**4 + 6*w - 4*w**3 - 12*w**2. Let x(f) = 3*l(f) - 2*o(f). Factor x(b).
3*(b - 1)**2*(b + 1)*(3*b + 2)
Let r = 11/10 - -2/5. Factor -r*t**2 - 3/2*t**3 - 1/2*t - 1/2*t**4 + 0.
-t*(t + 1)**3/2
Let x(i) be the second derivative of i**4/16 - i**3/4 - 9*i**2/8 - 6*i. Factor x(a).
3*(a - 3)*(a + 1)/4
Let c(f) be the third derivative of 0*f**3 + 0*f + 1/24*f**4 + 2/105*f**7 - 3*f**2 - 7/120*f**6 + 1/30*f**5 + 0. Determine k, given that c(k) = 0.
-1/4, 0, 1
Let f be (-21)/(-6) - (-3)/(-6). Solve r**3 - 3 + f + 4*r**2 + 2*r + r**3 = 0.
-1, 0
Let n(c) = -7*c**2 + 5*c + 4. Suppose 0 = -3*t - 3, -12 = h - 0*t + 5*t. Let y(v) = -22*v**2 + 16*v + 13. Let i(s) = h*n(s) + 2*y(s). Factor i(r).
(r - 1)*(5*r + 2)
Let w(a) = 4*a**3 - 2*a - 2. Let z(d) = -d**4 + d**2 - d + 1. Let b(x) = w(x) + 2*z(x). Find n, given that b(n) = 0.
-1, 0, 1, 2
Suppose 63*c**2 + 66*c + 24 + 33*c**3 - 4*c**3 - 5*c**3 + 94*c**4 - 91*c**4 = 0. Calculate c.
-4, -2, -1
Find g such that -6*g**4 + 3*g**5 - 5*g**3 - 3*g**4 - g**2 + 10*g**3 + 2*g**4 = 0.
0, 1/3, 1
Let v(f) = -f**3 + 10*f**2. Let h be v(10). Suppose h*i**4 - 9*i - 5*i**3 - 2*i**2 + 9*i - 3*i**4 = 0. Calculate i.
-1, -2/3, 0
Let z(n) be the first derivative of -n**8/168 - n**7/70 + n**5/60 - n**2/2 + 1. Let s(m) be the second derivative of z(m). Factor s(h).
-h**2*(h + 1)**2*(2*h - 1)
Let m = 5 + 0. Suppose 2*f + 11 = m*o, f + 5*o = 9 + 8. Determine w, given that