*o**2 + 2/3*o**3 + 0*o + z = 0.
-2, 0
Suppose 0 + 15/4*i**5 + 3*i - 6*i**4 - 27/4*i**3 + 6*i**2 = 0. What is i?
-1, -2/5, 0, 1, 2
Suppose 0 = -3*g - g. Let p(j) be the third derivative of 0 + 1/60*j**5 + 1/12*j**4 + g*j - 2*j**2 + 1/6*j**3. Solve p(s) = 0.
-1
Let r(w) be the first derivative of 4*w**6/21 - 4*w**5/7 + 3*w**4/7 + 4*w**3/21 - 2*w**2/7 + 41. Factor r(k).
4*k*(k - 1)**3*(2*k + 1)/7
Suppose -2 = -5*t + 2*b - 10, 3*b - 12 = -4*t. Let g(z) be the first derivative of -1/2*z**2 + 1/6*z**3 + 1 - 1/10*z**5 + t*z + 1/4*z**4. What is s in g(s) = 0?
-1, 0, 1, 2
Let d(p) = p**2 - 8*p + 2. Let b(r) = -r**3 + 5*r**2 - 3*r - 1. Let k be b(3). Let a be d(k). Factor 2/9*g**a + 8/9 - 8/9*g.
2*(g - 2)**2/9
Let a(m) be the second derivative of -m**6/180 - m**5/80 + m**4/48 + m**3/3 + 4*m. Let q(t) be the second derivative of a(t). Factor q(f).
-(f + 1)*(4*f - 1)/2
Let s(u) be the third derivative of -u**5/120 - u**4/48 - 2*u**2. Factor s(n).
-n*(n + 1)/2
Let w(a) be the second derivative of 0 + 1/6*a**5 + 0*a**2 + 4/9*a**4 - 2*a + 1/45*a**6 + 4/9*a**3. Determine m, given that w(m) = 0.
-2, -1, 0
Let i(j) be the second derivative of -1/54*j**4 - 4/9*j**2 + 2*j + 0 + 4/27*j**3. Let i(d) = 0. Calculate d.
2
Let n(z) = -z**3 + 6*z**2 - 5*z - 4. Let a be n(5). Let p be (5/a)/(5/(-20)). Find l such that l**5 - 3*l**4 + 4*l**4 - 2*l**p = 0.
0, 1
Let x(p) = -6*p**2 - 32*p - 7. Let o be x(-5). Solve 2/7*a**4 + 0*a**o + 2/7 + 0*a - 4/7*a**2 = 0.
-1, 1
Let z(q) be the first derivative of q**4/20 + 2*q**3/5 - 3*q**2/2 + 8*q/5 - 34. Determine l, given that z(l) = 0.
-8, 1
Let x(n) be the third derivative of -n**8/336 - n**7/105 + n**5/30 + n**4/24 - 11*n**2. Suppose x(f) = 0. What is f?
-1, 0, 1
Factor 1/9*v**3 + 0 - 1/9*v - 1/9*v**4 + 1/9*v**2.
-v*(v - 1)**2*(v + 1)/9
Let q(g) = -3*g**2 - 2*g**2 + 4*g**2. Let o = 49 + -44. Let j(d) = -4*d**2 - 2*d + 1. Let b(r) = o*q(r) - j(r). Solve b(l) = 0.
1
Let q = 78 - 233/3. Suppose -2/3*o**2 + q*o + 0 + 2/3*o**4 + o**5 - 4/3*o**3 = 0. Calculate o.
-1, 0, 1/3, 1
Let s(g) be the third derivative of -g**7/1260 + g**6/180 - 5*g**4/24 + g**2. Let y(d) be the second derivative of s(d). Find c, given that y(c) = 0.
0, 2
Let g(u) be the third derivative of 0*u**5 - 1/18*u**3 + 1/630*u**7 + 0 - 1/36*u**4 - 7*u**2 + 1/180*u**6 + 0*u. Factor g(n).
(n - 1)*(n + 1)**3/3
Let d(f) be the third derivative of -f**6/5 - 13*f**5/15 - 4*f**4/3 - 2*f**3/3 + 43*f**2. Factor d(p).
-4*(p + 1)**2*(6*p + 1)
Let d(c) be the third derivative of c**8/84 - c**6/15 + c**4/6 - 55*c**2. Determine x so that d(x) = 0.
-1, 0, 1
Let p(j) be the second derivative of j**7/126 - j**6/90 - j**5/60 + j**4/36 + 9*j. Factor p(c).
c**2*(c - 1)**2*(c + 1)/3
Let q(t) be the first derivative of -t**6/10 + 3*t**5/20 - 2*t + 4. Let m(b) be the first derivative of q(b). Factor m(k).
-3*k**3*(k - 1)
Determine u so that -6/7 + 2/7*u**2 - 4/7*u = 0.
-1, 3
Suppose -46/15*v**4 + 8/15 - 2/3*v**5 + 8/15*v - 14/3*v**3 - 34/15*v**2 = 0. What is v?
-2, -1, 2/5
Let q(o) = -o**3 - 12*o**2 + 12*o - 18. Let h be q(-13). Let y = h + 7. Factor -9/2*b - 1 - 2*b**y.
-(b + 2)*(4*b + 1)/2
Let q be -2 - 1 - 253/(-77). Factor 2/7 + 4/7*l + q*l**2.
2*(l + 1)**2/7
Let k be (-2 - (-26)/10)*5. Let w = -4 + 6. Factor -v**5 + 2*v**k + 2*v**w - 7 + 0*v**5 + 6 - v - v**4.
-(v - 1)**2*(v + 1)**3
Let -2/5*o + 0 + 2/5*o**3 + 2/5*o**4 - 2/5*o**2 = 0. What is o?
-1, 0, 1
Factor 2/5*r - r**2 + 3/5*r**3 + 0.
r*(r - 1)*(3*r - 2)/5
Let m = 1 + -1. Let c = 79/21 - 24/7. Let 2/3*g + 0*g**3 + m + g**2 - c*g**4 = 0. Calculate g.
-1, 0, 2
Let y(x) = -x**2 - 6*x - 3. Let a be y(-5). Let j = 15 - 12. Determine q so that -3*q**2 - 5*q - q**3 - 3 + j*q + a - q = 0.
-1
Let u(f) be the first derivative of -2*f**4/3 + 2*f**3/3 + 4*f**2/3 - 2*f - 15. Factor u(r).
-2*(r - 1)*(r + 1)*(4*r - 3)/3
Suppose 4*p + 4 = 5*p. Factor 3*n**2 + 5*n**p + n - 4*n**4 - 3*n**3 + 6*n**3.
n*(n + 1)**3
Let x(u) = u**3 + 4*u**2 + u + 1. Let z be x(-4). Let t = 1 - z. Determine a so that -25 - 6*a**3 + 21*a**t + 6*a + 25 - 21*a**2 = 0.
-1, 0, 2/7, 1
Let z(r) be the second derivative of r**6/60 - 3*r**5/40 - 5*r**4/24 + r**3/4 + r**2 - 23*r. Factor z(f).
(f - 4)*(f - 1)*(f + 1)**2/2
Let j be (-1*778)/(30/9). Let u = 235 + j. Factor -2/5*q**2 - 8/5 + u*q.
-2*(q - 2)**2/5
Suppose -g + 2*g = 2. Factor -f + 1/2 + 1/2*f**g.
(f - 1)**2/2
Let f(x) be the second derivative of 0 - 1/6*x**4 - 2*x**2 - 6*x + x**3. Solve f(y) = 0.
1, 2
Suppose -2 + 11 = -3*u. Let p be u + (-168)/(-27) + -3. Suppose -p*z + 0 + 2/9*z**2 = 0. Calculate z.
0, 1
Find c, given that 3 + 3*c - 9*c**2 - 3 + 6*c**2 = 0.
0, 1
Let 14*j + 15*j + 4*j**2 + 2*j - 7*j - 64 = 0. What is j?
-8, 2
Let d(z) = z**2 + 4*z - 10. Let m be d(-6). Let p(w) be the second derivative of 0*w**m + w + 0 + 1/30*w**3 - 1/30*w**4 + 1/100*w**5. What is j in p(j) = 0?
0, 1
Let u(k) be the second derivative of 5/12*k**3 - 7/24*k**4 + 0 + 1/2*k**2 - 6*k. Factor u(b).
-(b - 1)*(7*b + 2)/2
Let g be 0/1 - (-1 - 1). Suppose g - 14 = -4*a. What is t in -a*t**2 + 6*t**2 - 2*t**2 = 0?
0
Let x(w) be the third derivative of -w**6/40 - w**5/10 + 3*w**4/8 - 11*w**2. Factor x(o).
-3*o*(o - 1)*(o + 3)
Let t(u) be the second derivative of -u**7/1260 - u**6/1080 + u**4/4 - u. Let y(k) be the third derivative of t(k). What is s in y(s) = 0?
-1/3, 0
Let g = -3 - -6. Suppose 0*x + g*x**2 - x - x**3 - 3*x**2 - 2*x**2 = 0. Calculate x.
-1, 0
Let p(k) = -5*k**3 + 25*k + 25. Let c(i) = i**3 - 6*i - 6. Let r(s) = -25*c(s) - 6*p(s). Factor r(z).
5*z**3
Let p(w) = 2*w**2 + 2*w - 2. Let o = 16 - 8. Let t(z) = 2 - 9 + 0 + o. Let i(l) = p(l) + 2*t(l). Factor i(c).
2*c*(c + 1)
Let i(r) be the third derivative of 0 - 1/3*r**3 - 3*r**2 + 0*r + 1/30*r**5 + 0*r**4. Factor i(b).
2*(b - 1)*(b + 1)
Factor -2/13 + 4/13*t + 6/13*t**2.
2*(t + 1)*(3*t - 1)/13
Solve 3*t**2 - 3 - 1 + 3*t + 2 - 4 = 0.
-2, 1
Let i(a) be the second derivative of -3/2*a**2 - a + 0 + 1/3*a**3 - 1/36*a**4. Factor i(z).
-(z - 3)**2/3
Let v(h) be the second derivative of h**6/120 - h**4/24 + h**2/8 + 11*h. Determine b, given that v(b) = 0.
-1, 1
Suppose -l + 12 = -2*l. Let b = 14 + l. Factor 4/3 - 4/3*v + 1/3*v**b.
(v - 2)**2/3
Let h(w) = w - 10. Let u be h(13). Factor 5*f**3 - 2*f - 5*f**3 - u*f**3 + 5*f**3 + 1 - f**4.
-(f - 1)**3*(f + 1)
Let o be (0 + -10)*(0 - -1). Let y = o - -17. Solve 2*f**2 - 3*f**2 + 2*f + 4*f**3 - y*f**3 = 0 for f.
-1, 0, 2/3
Suppose 0*d = -d + 5. Let o be (18/d)/((-9)/(-6)). Let -8/5*f**3 - 8/5*f - o*f**2 - 2/5 - 2/5*f**4 = 0. Calculate f.
-1
Let h(n) = -3*n**2 + 6*n + 5. Let z(c) = c**2 + 1. Let g = 11 - 8. Let a(k) = g*h(k) + 12*z(k). Factor a(f).
3*(f + 3)**2
Let h(l) be the second derivative of 3*l + 0*l**3 - 1/5*l**5 + 0 - 1/12*l**4 + 0*l**2. Factor h(z).
-z**2*(4*z + 1)
Let z = -1 - -3. Suppose j**3 - 1 - 12*j**z - 9*j + 1 - 6*j**3 - 2 = 0. Calculate j.
-1, -2/5
Let v(a) be the second derivative of a**6/20 + 9*a**5/40 + 15*a. Suppose v(f) = 0. Calculate f.
-3, 0
Let a(o) = -o**2 - 4*o - 1. Suppose -3 + 12 = -3*w. Let f be a(w). Factor -3*x**2 - 4*x**2 + 4*x**f.
-3*x**2
Let z be (-32)/12*9/(-12). Suppose 10 = 2*y + z. Suppose -2/7*l**2 - 4/7*l**3 + 0*l + 0 - 2/7*l**y = 0. Calculate l.
-1, 0
Let p be -2 + 0 - 2 - -6. What is i in 34*i**4 + 32*i**4 - 64*i**4 - p*i**2 = 0?
-1, 0, 1
What is s in -6/7*s**3 - 2/7*s + 0 - 8/7*s**2 = 0?
-1, -1/3, 0
Let k(m) = -m**2 + 6*m - 1. Let y be k(6). Let n be 2 - ((6 - 3) + y). Find t, given that 1/3*t**4 + n*t**3 + 0 + 0*t + 0*t**2 + 1/3*t**5 = 0.
-1, 0
Suppose -v**4 - 4*v**3 - 3*v**4 - 12*v**3 + 0*v**3 = 0. What is v?
-4, 0
Let n(d) be the first derivative of 4*d**3/3 - 12*d**2 + 36*d + 2. Factor n(u).
4*(u - 3)**2
Factor 0 + 2*h**2 + 2/3*h**3 + 4/3*h.
2*h*(h + 1)*(h + 2)/3
Let a(u) = -8*u**2 + u - 3. Suppose 0 = -2*q + 19 + 23. Let y(s) = 33*s**2 - 3*s + 12. Let z(m) = q*a(m) + 5*y(m). Factor z(b).
-3*(b - 1)**2
Let p(r) be the second derivative of -r**4/6 + 4*r**3/3 - 3*r**2 + 17*r. Solve p(v) = 0 for v.
1, 3
Factor 4/9*z**2 + 0*z - 2/9 + 0*z**3 - 2/9*z**4.
-2*(z - 1)**2*(z + 1)**2/9
Suppose -59*l - 12 = -62*l. Solve 1/3*x**5 - 5/3*x**l + 5/3*x - 10/3*x**2 + 10/3*x**3 - 1/3 = 0.
1
Let 1/2*m**2 + 25/2 - 5*m = 0. Calculate m.
5
Let x(o) be the first derivative of 1/15*o**3 + 1 + 1/15*o**4 - o + 0*o**2 + 1/