 - h*z. Find j such that t(j) = 0.
-1, -1/3
Factor 12/5 + 3/5*a**2 - 12/5*a.
3*(a - 2)**2/5
Let q be (1 - (-3)/2)*2. Solve h**3 + 2*h**3 + 2*h**4 - q*h**3 = 0 for h.
0, 1
Let t(o) be the first derivative of 0*o**2 - 2/7*o**3 - 5 + 0*o + 3/4*o**4 - 3/7*o**5. Let t(q) = 0. What is q?
0, 2/5, 1
Let q(y) = -3*y**4 + 12*y**3 - 18*y**2 + 12*y - 9. Let v(u) = -6*u**4 + 24*u**3 - 36*u**2 + 24*u - 17. Let k(s) = -11*q(s) + 6*v(s). Factor k(t).
-3*(t - 1)**4
Let i(d) = d + 1. Let a(l) = l**2 + 8*l + 5. Let b(z) = 5*a(z) - 35*i(z). Factor b(k).
5*(k - 1)*(k + 2)
Let h(s) = -s**3 + 16*s**2 - 16*s + 13. Let q be h(15). Let o be ((-6)/(-30))/(q/(-4)). Find a, given that -o*a - 1/5*a**2 + 0 + 2/5*a**3 + 1/5*a**4 = 0.
-2, -1, 0, 1
Let u(s) be the first derivative of -3*s**5/35 + 3*s**4/14 + 3*s**3/7 - 6*s**2/7 - 12*s/7 + 24. Determine l so that u(l) = 0.
-1, 2
Let f(z) be the third derivative of z**5/15 + z**4/6 - 43*z**2. Determine g, given that f(g) = 0.
-1, 0
Let x(u) = 2*u**4 - 8*u**2 + 4*u - 2. Let h = -2 - -7. Suppose -h*z + 14 = -6. Let o(n) = 4*n**4 - 17*n**2 + 9*n - 5. Let k(j) = z*o(j) - 9*x(j). Factor k(a).
-2*(a - 1)**2*(a + 1)**2
Let i(h) be the first derivative of h**7/7 - 7*h**6/15 + h**5/5 + h**4 - 5*h**3/3 + h**2 + 3*h + 1. Let n(v) be the first derivative of i(v). Factor n(w).
2*(w - 1)**3*(w + 1)*(3*w - 1)
Let u = 892/153 + -84/17. Factor -u + 10/9*y**2 + 2/3*y**3 - 8/9*y.
2*(y - 1)*(y + 2)*(3*y + 2)/9
Let a(v) be the first derivative of -1/18*v**6 + 4 + 1/9*v**3 + 0*v + 1/5*v**5 + 0*v**2 - 1/4*v**4. Factor a(h).
-h**2*(h - 1)**3/3
Let q(h) be the first derivative of -h**6/12 - 3*h**5/10 + 3*h**4/4 + 5*h**3/3 - 21*h**2/4 + 9*h/2 - 2. Let q(k) = 0. What is k?
-3, 1
Let t = -6/31 + 1217/682. Let g = t + -12/11. Determine j, given that 1/2*j**2 + 0 - g*j = 0.
0, 1
Factor -2/7*w**2 + 0 - 2/7*w.
-2*w*(w + 1)/7
Let k(h) be the first derivative of 2*h**3/39 - 4*h**2/13 + 8*h/13 - 7. Factor k(c).
2*(c - 2)**2/13
Let l(k) be the third derivative of -k**8/504 + k**7/63 - k**6/18 + k**5/9 - 5*k**4/36 + k**3/9 + 37*k**2. Factor l(c).
-2*(c - 1)**5/3
Let u(j) be the third derivative of -j**8/50400 + j**6/1800 - j**5/30 + 4*j**2. Let g(y) be the third derivative of u(y). Factor g(t).
-2*(t - 1)*(t + 1)/5
Let j be 19/((-95)/(-42)) + -8. Let -2/5*p**2 - j*p + 4/5 = 0. Calculate p.
-2, 1
Suppose y**4 - 2*y**2 - y**3 + 0*y**3 + 0*y**3 = 0. What is y?
-1, 0, 2
Let n(p) be the first derivative of -p**3/3 - 3*p**2/2 - 18. Let n(d) = 0. Calculate d.
-3, 0
Let v = -1/36 + 11/108. Let z(i) be the third derivative of -v*i**3 + 0*i + 0 + 1/90*i**5 + 3*i**2 - 1/108*i**4. Factor z(r).
2*(r - 1)*(3*r + 2)/9
Let a(c) = -c**2 + 7*c + 4. Suppose 4*i + 6 = -3*l + 25, -2*i - 5*l = 1. Let k be a(i). Find v, given that -3*v**3 + 3*v**k + 11*v - 11*v = 0.
0, 1
Let t(z) be the first derivative of -z**6/18 - z**5/5 - z**4/12 + z**3/3 + z**2/3 - 27. Solve t(i) = 0 for i.
-2, -1, 0, 1
Let i(h) be the second derivative of 0 + 0*h**2 + 3*h - 1/2*h**4 - 1/10*h**5 - 2/3*h**3. Determine b so that i(b) = 0.
-2, -1, 0
Suppose -r - 1 = -7. Let c be r - 0 - (-4 + 5). Factor 0*l**4 + 1/2*l - l**3 + 0 + 0*l**2 + 1/2*l**c.
l*(l - 1)**2*(l + 1)**2/2
Factor -12*h**5 - 19*h**5 + 32*h**5 + 3*h**3 - 2*h**4 - h**4 - h**2.
h**2*(h - 1)**3
Let h(u) = -2*u**2 - u + 1. Let b be h(-2). Let t be 1*(b + -1)/(-3). What is r in -6*r**2 + 4*r**2 - 2*r**t - 3*r**3 + 3*r**5 + r**2 + 3*r**4 = 0?
-1, 0, 1
Let z(w) be the second derivative of 2*w**6/45 - 2*w**5/15 + 4*w**3/9 - 2*w**2/3 - 3*w. Determine m, given that z(m) = 0.
-1, 1
Let q(h) = h**3 - 8*h**2 + 7*h + 10. Let w be q(7). Factor 4 + 2*u + 12*u**2 + 2*u**3 + w*u + 2*u**3.
4*(u + 1)**3
Let s(j) = -j**2 - j. Let x(f) = f**4 + 2*f**3 - 8*f**2 + 3*f. Let c(r) = 5*s(r) - 5*x(r). Find l such that c(l) = 0.
-4, 0, 1
Let d(r) be the first derivative of r**6/360 - 2*r**3/3 + 2. Let t(n) be the third derivative of d(n). Factor t(u).
u**2
Let t(h) = h**2 + h - 2. Let d be t(-2). Let l be (-3)/(-3) - (d - -1). Factor l + 1/3*v + 0*v**2 - 1/3*v**3.
-v*(v - 1)*(v + 1)/3
Suppose 1 = -n - t, 0 = -5*n + 3*n + 4*t + 10. Determine w so that 3/2*w + 1/2*w**2 + n = 0.
-2, -1
Let t(w) = 65*w**4 - 120*w**3 + 35*w - 35. Let u(c) = -11*c**4 + 20*c**3 - 6*c + 6. Let y(z) = -6*t(z) - 35*u(z). Factor y(j).
-5*j**3*(j - 4)
Let r = -5 - -7. Factor 3*v**4 - v**2 + v**r.
3*v**4
Let b(c) = c + 11. Let d be b(-11). Let n(m) be the third derivative of 1/96*m**4 + 1/240*m**5 + d*m - 2*m**2 + 0 + 0*m**3. Suppose n(r) = 0. What is r?
-1, 0
Factor 16*f**3 + 83*f**4 - 9*f**2 - 7*f**2 - 87*f**4.
-4*f**2*(f - 2)**2
Let 3/4*r**3 - 3/4*r + 3/4*r**2 + 0 - 3/4*r**4 = 0. What is r?
-1, 0, 1
Factor 355*z - 8 + 350*z - 725*z - 16*z**2 - 4*z**3.
-4*(z + 1)**2*(z + 2)
Let w(o) be the second derivative of -3*o + 1/45*o**5 + 1/9*o**2 + 0*o**3 + 0 - 1/18*o**4. Factor w(k).
2*(k - 1)**2*(2*k + 1)/9
Let g(r) = -r + 6. Let s be g(3). Factor -5*x + x**4 + 5*x - 6*x**s + 2*x**4.
3*x**3*(x - 2)
Let z(s) be the first derivative of s**8/2016 + s**7/252 + s**6/90 + s**5/90 - 4*s**2 + 2. Let x(b) be the second derivative of z(b). Factor x(h).
h**2*(h + 1)*(h + 2)**2/6
Let b = 1 - -1. Factor 5*s**2 - 7*s**2 + s**2 - b + 3.
-(s - 1)*(s + 1)
Suppose 0 + 15*d**2 - 39/4*d**4 - 6*d - 15/4*d**5 + 9/2*d**3 = 0. Calculate d.
-2, 0, 2/5, 1
Suppose -8*l = -6*l + 2, 0 = -5*n + 4*l + 29. Factor 0*h + 1/4*h**3 + 1/4*h**4 + 0 - 1/4*h**2 - 1/4*h**n.
-h**2*(h - 1)**2*(h + 1)/4
Let m(b) = -b + 8. Let u be m(4). Let j be (u/24)/((-4)/(-6)). Suppose j*i**3 + 0*i + 0 + 0*i**2 = 0. What is i?
0
Let i be (1 - 2/2) + 1 + 2. Suppose 2/11*u**i + 24/11*u + 12/11*u**2 + 16/11 = 0. What is u?
-2
Factor -2/9*r**3 + 4/9 + 8/9*r**2 - 10/9*r.
-2*(r - 2)*(r - 1)**2/9
Let u(v) be the first derivative of v**7/3360 - v**6/720 - 2*v**3 - 6. Let q(h) be the third derivative of u(h). Let q(y) = 0. Calculate y.
0, 2
Let r(m) = -9*m**4 + 21*m**3 - 18*m**2 + 4*m. Let t(g) = -36*g**4 + 84*g**3 - 73*g**2 + 16*g. Let h(q) = 9*r(q) - 2*t(q). Find a, given that h(a) = 0.
0, 2/3, 1
Let a(u) be the second derivative of u**4/3 - 2*u**2 + 45*u. Find d such that a(d) = 0.
-1, 1
Let a(i) be the third derivative of 5*i**8/2016 - i**7/42 + 13*i**6/144 - i**5/6 + 5*i**4/36 - 8*i**2. Factor a(w).
5*w*(w - 2)**2*(w - 1)**2/6
Suppose 0*w = -w. Let d be 3 - 1*(w - -3). Suppose 0*h**2 - h**3 + d*h**2 + 3*h + 2 = 0. Calculate h.
-1, 2
Suppose 0 + 2/17*h**3 - 2/17*h**4 - 2/17*h**5 + 0*h + 2/17*h**2 = 0. What is h?
-1, 0, 1
Let a = -9839/150 - -328/5. Let x(c) be the third derivative of 0*c**4 + a*c**5 + 0 - 1/15*c**3 + 2*c**2 + 0*c. Factor x(l).
2*(l - 1)*(l + 1)/5
Let v(x) = -5*x**4 + 4*x**3 - 4*x + 2. Let h(c) = -4*c**4 + 4*c**3 - 4*c + 2. Let p(n) = 3*h(n) - 2*v(n). Solve p(s) = 0 for s.
-1, 1
Let n(v) be the second derivative of -v**5/130 - v**4/26 + v**3/39 + 3*v**2/13 + v. Solve n(o) = 0.
-3, -1, 1
Let m(a) be the second derivative of -a**10/30240 + a**9/15120 - a**4/3 + 4*a. Let h(p) be the third derivative of m(p). Suppose h(i) = 0. Calculate i.
0, 1
Let g be 9/(-6)*(-28)/63. Factor 5/3*d + d**2 + g.
(d + 1)*(3*d + 2)/3
Suppose 0*b + 76 = 4*b. Factor -4 + 12*r**2 - 6*r**3 + 9*r**2 - b*r**2 + 6*r + 2*r**4.
2*(r - 2)*(r - 1)**2*(r + 1)
Let s(j) = 1. Let l(t) = 36*t**2 + 12*t - 4. Let r(o) = -l(o) - 5*s(o). Find y such that r(y) = 0.
-1/6
Let f = 2 - 1. Factor -d + 5*d - 2*d**2 + 4*d**2 + 3 - f.
2*(d + 1)**2
Let x be 583/99 - 1/(-9). Let z(t) be the second derivative of -1/10*t**x - 3/10*t**5 + 0*t**3 + 3*t + 0 + 0*t**2 - 1/4*t**4. Find u, given that z(u) = 0.
-1, 0
Let d(l) be the second derivative of -1/6*l**3 + 0 - 1/12*l**4 + 0*l**2 + 2*l. Factor d(z).
-z*(z + 1)
Let v(z) = 2*z**3 - 1. Let q(p) = 9*p**3 + 12*p**2 + 15*p - 6. Let d(t) = q(t) - 6*v(t). Factor d(r).
-3*r*(r - 5)*(r + 1)
Solve 15/4*k**2 + 5/4*k**3 + 0 + 5/2*k = 0 for k.
-2, -1, 0
Let b(f) be the first derivative of -9*f**2 - 2*f**3 - 13*f - 1 + f**3 - 8*f - 6*f. Solve b(r) = 0.
-3
Suppose 3*a - 8 - 4 = 0. Factor -3*s**3 + 0 - 3*s**2 - 1 + a*s**3 + s + 2*s.
(s - 1)**3
Let c(x) be the third derivative of -x**9/1008 - x**8/280 + 2*x**3/3 - 5*x**2. Let a(f) be the first derivative of c(f). Factor a(z).
-3*z**4*(z + 2)
Let j(d) be the first derivative of -d**6/15 + 4*d**5/25 - d**4/10 - 10. Factor j(z).
-2*