).
2*o**2*(o + 1)**2/7
Let x = 71/4 + -65/4. Let 3/2*t**4 - x*t - t**2 - 1/2 + 1/2*t**5 + t**3 = 0. What is t?
-1, 1
Let q(v) be the third derivative of -v**8/6720 + v**7/560 - v**6/120 - v**5/60 - 2*v**2. Let s(o) be the third derivative of q(o). Factor s(g).
-3*(g - 2)*(g - 1)
Suppose -4*x = -t + x - 21, 5*t - 3*x - 5 = 0. Let l(a) be the second derivative of t*a**3 + 1/10*a**5 - 8*a**2 + 2*a + 0 - a**4. Suppose l(m) = 0. What is m?
2
Let z(l) be the third derivative of 1/108*l**4 + 0*l + 0*l**3 - 1/540*l**6 - 1/945*l**7 + 0 - 6*l**2 + 1/270*l**5. Solve z(c) = 0 for c.
-1, 0, 1
Let y**2 + 1/5*y**4 + 4/5*y**3 + 2/5*y + 0 = 0. What is y?
-2, -1, 0
Suppose 16*w - 10 = 14*w. Determine a, given that -2/3*a**4 + 0 + 2/3*a**2 - 4/9*a + 2/9*a**w + 2/9*a**3 = 0.
-1, 0, 1, 2
Let p(o) be the first derivative of 2 - 2/3*o - 1/15*o**5 + 1/3*o**3 - 1/6*o**2 + 1/12*o**4. Factor p(m).
-(m - 2)*(m - 1)*(m + 1)**2/3
Suppose 6 - 18 = -6*u. Determine t, given that 31*t**2 + 29*t**u - 64*t**4 + 1 + 32*t**3 + 3 - 32*t = 0.
-1, 1/4, 1
Let q(x) be the second derivative of -3/16*x**3 - 1/8*x**2 - 1/24*x**4 + 6*x + 0. Factor q(z).
-(z + 2)*(4*z + 1)/8
Let z(k) be the second derivative of k**4/66 + 8*k**3/11 + 144*k**2/11 - 3*k. Factor z(v).
2*(v + 12)**2/11
Let v(c) be the second derivative of 0 + 14/3*c**3 + 1/5*c**5 - 7*c - 5/3*c**4 - 6*c**2. Determine r so that v(r) = 0.
1, 3
Let a(g) = -2*g**2 - 4*g. Let c(v) = -2*v**2 - 4*v + 3. Let k(s) = 4*s**2 + 8*s - 5. Let i(d) = 10*c(d) + 6*k(d). Let h(m) = 7*a(m) + 3*i(m). Factor h(r).
-2*r*(r + 2)
Solve 0 - 3/2*y**3 + 0*y**4 + 0*y - y**2 + 1/2*y**5 = 0.
-1, 0, 2
Let b(w) be the first derivative of -20*w**3/3 + 25*w**2/2 - 5*w + 12. Let b(n) = 0. Calculate n.
1/4, 1
Let p(r) be the third derivative of -r**5/60 + 7*r**4/24 + 5*r**3/3 - 3*r**2. Let w be p(8). Determine j so that 2/5*j + 0 + 2/5*j**w = 0.
-1, 0
Let n(p) = p**2 + 7*p - 2. Let g be n(-9). Let i be 3*(-3 - g/(-3)). Factor d**2 + 4 + 5*d**3 + 10*d + i*d**2 - 2*d**3 - d**3.
2*(d + 1)**2*(d + 2)
Let a(n) be the third derivative of -14*n**7/45 + 7*n**6/5 - 109*n**5/45 + 2*n**4 - 8*n**3/9 - n**2. Factor a(r).
-4*(r - 1)**2*(7*r - 2)**2/3
Let r(h) be the first derivative of -h**5/55 + h**4/11 - 5*h**3/33 + h**2/11 + 6. Determine g so that r(g) = 0.
0, 1, 2
Let u = 9 - 4. Suppose -30 = -u*o - 0. Find a, given that 2*a + 6*a**2 - o*a - 6*a**4 + 4*a**3 + 0*a**4 = 0.
-1, 0, 2/3, 1
Let i(y) = -2*y**2 - y + y**2 + 2*y - 1. Let w(z) = -7*z**4 - 26*z**3 - 24*z**2 - 7*z + 7. Let j(p) = -3*i(p) - w(p). Factor j(q).
(q + 1)**2*(q + 2)*(7*q - 2)
Determine u so that 6/5 - 11/5*u + 4/5*u**2 + 1/5*u**3 = 0.
-6, 1
Factor 2/3*s**3 - 28/9*s**2 - 16/9 + 40/9*s.
2*(s - 2)**2*(3*s - 2)/9
Factor 7*r - 9*r**3 + r + 4*r - 3*r**4.
-3*r*(r - 1)*(r + 2)**2
Let a = -167/26 + 90/13. Factor -x**4 - a*x + x**2 + 1/2*x**5 + 0*x**3 + 0.
x*(x - 1)**3*(x + 1)/2
Suppose -8 = -6*g + 2*g. Let -2*j + j + g*j**2 + j = 0. Calculate j.
0
Let m(c) be the first derivative of -c**4/10 - 2*c**3/15 + c**2 - 6*c/5 + 9. Determine r, given that m(r) = 0.
-3, 1
Let m = -6110/21 - -291. Let f(i) be the second derivative of m*i**4 + 1/70*i**5 + 0 + 1/21*i**3 + 0*i**2 + 2*i. Suppose f(d) = 0. Calculate d.
-1, 0
Let j(b) be the first derivative of b**5/20 - b - 2. Let p(n) be the first derivative of j(n). Factor p(m).
m**3
Let u(s) be the first derivative of -s**6/9 - 10*s**5/9 - 37*s**4/9 - 188*s**3/27 - 17*s**2/3 - 2*s - 14. Suppose u(z) = 0. Calculate z.
-3, -1, -1/3
Let b(h) be the third derivative of -25*h**8/1344 - h**7/21 + 3*h**6/32 + h**5/6 - 5*h**4/24 + 11*h**2. Determine q so that b(q) = 0.
-2, -1, 0, 2/5, 1
Suppose -6*n + 90 = -n. Let l be 21/n*12/63. Determine s so that -2/9*s + 0 - 2/9*s**2 + l*s**3 + 2/9*s**4 = 0.
-1, 0, 1
Let w(b) be the second derivative of b**4/60 + b**3/15 + 19*b. Factor w(n).
n*(n + 2)/5
Let x(f) be the second derivative of f**4/66 - f**3/33 + 18*f. Factor x(h).
2*h*(h - 1)/11
Suppose 0*n + 2*u = -3*n + 8, -n - u + 3 = 0. Factor 4/3*w - 2/3*w**n - 2/3*w**3 + 0.
-2*w*(w - 1)*(w + 2)/3
Suppose 55 = -2*b + u, 2*u - 5*u + 109 = -4*b. Let y = -28 - b. Factor y*q**2 - 1/2*q + 1/4 - 1/4*q**4 + 1/2*q**3.
-(q - 1)**3*(q + 1)/4
Let a(s) be the third derivative of 1/420*s**7 + 0*s - 1/60*s**5 + 0 - 1/240*s**6 + 0*s**4 + 9*s**2 + 0*s**3. Determine i, given that a(i) = 0.
-1, 0, 2
Let o(j) = 5*j**5 - 3*j**3 - 2*j**2 + 2*j. Let s(i) = -11*i**5 + 6*i**3 + 5*i**2 - 5*i. Let m(v) = 5*o(v) + 2*s(v). Factor m(k).
3*k**3*(k - 1)*(k + 1)
Let z(f) be the third derivative of f**7/840 - f**6/240 + f**4/6 - 4*f**2. Let u(b) be the second derivative of z(b). Factor u(r).
3*r*(r - 1)
Suppose 6*s + 131 - 131 = 0. Determine t, given that s + 2/7*t**2 - 2/7*t = 0.
0, 1
Let a(k) be the second derivative of -2*k**6/3 - 3*k**5/4 + 5*k**4/12 - 10*k. Factor a(g).
-5*g**2*(g + 1)*(4*g - 1)
Let -5*r - 6*r + 2*r**2 + 3*r + 2*r = 0. Calculate r.
0, 3
Let q(j) be the second derivative of -j**6/10 + 3*j**5/10 - j**4/4 - 3*j. What is u in q(u) = 0?
0, 1
Suppose -3*h**2 + 5*h + h - 8*h + 5*h = 0. Calculate h.
0, 1
Let h(p) be the second derivative of -p**8/224 - 3*p**7/70 - 3*p**6/20 - p**5/5 - 5*p**2/2 + 2*p. Let i(d) be the first derivative of h(d). Factor i(j).
-3*j**2*(j + 2)**3/2
Let n(w) be the first derivative of 2/7*w**5 + 0*w - 2/7*w**2 + 2/3*w**3 - 1/21*w**6 - 8 - 9/14*w**4. Factor n(k).
-2*k*(k - 2)*(k - 1)**3/7
Find w, given that 10/3*w**2 - 2/3*w - 8/3*w**3 + 0 = 0.
0, 1/4, 1
Let s be 1/4 + (-2)/(-6)*0. Determine d, given that 0*d - 1/4*d**5 + s*d**3 + 1/4*d**2 - 1/4*d**4 + 0 = 0.
-1, 0, 1
Let u be (1/(-4))/((-45)/40). Factor -2/9 + 2/9*c**5 + 4/9*c**2 - 4/9*c**3 + u*c - 2/9*c**4.
2*(c - 1)**3*(c + 1)**2/9
Let q(v) be the first derivative of 2*v**5/45 - 2*v**4/3 + 70*v**3/27 + 4*v**2/3 - 8*v + 1. What is t in q(t) = 0?
-1, 1, 6
Let n(v) = 3*v**4 - 6*v**3 - 10*v**2 - v + 7. Let s(m) = m**4 - 2*m**3 - 3*m**2 + 2. Let w(q) = -4*n(q) + 14*s(q). Suppose w(c) = 0. Calculate c.
-1, 0, 1, 2
Let b = 60 - 179/3. Let i = 5 + -3. What is x in -x**i + b*x**3 + 0 + 2/3*x = 0?
0, 1, 2
Let t(m) be the second derivative of 10*m + 0 - 3/2*m**4 - 6*m**3 - 3/20*m**5 - 12*m**2. Factor t(h).
-3*(h + 2)**3
Let k(m) = 4*m**2 + 2*m - 4. Let d(r) = r**2. Let a(v) = -2*d(v) + k(v). Suppose a(w) = 0. Calculate w.
-2, 1
Let i be -6 - 3/((-21)/44). Let h be (-3)/7*(-16)/6. Factor -10/7*p**3 - i*p**5 - 4/7*p**2 + 0 - h*p**4 + 0*p.
-2*p**2*(p + 1)**2*(p + 2)/7
Let t(p) = 16*p + 50. Let w be t(-3). Determine v, given that -2/13*v - 2/13*v**w + 0 = 0.
-1, 0
Let z be 2 + 2 + -3 + -3. Let r be 1/4*z + 1. Factor -1/4*f + r*f**2 - 1/4*f**3 + 0.
-f*(f - 1)**2/4
Let m be 10/(-6)*4/(-40). Let l(r) be the third derivative of -3*r**2 + m*r**3 - 1/24*r**4 + 1/120*r**6 + 0*r + 0 - 1/60*r**5. Factor l(p).
(p - 1)**2*(p + 1)
Let d = 6 + -1. Suppose 0 = -4*q - 16 + 4, -4*q = 5*f - 43. Determine c so that -2 - d*c**2 - 4*c**4 + f*c**2 - 2*c - 3*c**3 + 5*c**3 = 0.
-1, -1/2, 1
Let q = -1 - -1. Let h be (-1 - (1 - 1))*q. Suppose -9/2*j**4 - 9/2*j**3 + 2*j + 2*j**2 + h = 0. Calculate j.
-1, -2/3, 0, 2/3
Let u(a) be the second derivative of a**6/90 - a**4/12 - a**3/9 - 22*a. Factor u(q).
q*(q - 2)*(q + 1)**2/3
Let s(z) be the second derivative of -z**6/180 - z**5/120 + z**4/72 + z**3/36 - 59*z - 1. Factor s(v).
-v*(v - 1)*(v + 1)**2/6
Let x = 24 + -12. Suppose -x = -2*u - 4. Find h such that -2*h**3 - 2/3*h**u - 2/3*h - 2*h**2 + 0 = 0.
-1, 0
Let w be (1/2)/(3/24). Factor d**3 + d**4 + 4*d**w - 2*d**4 - 4*d**5.
-d**3*(d - 1)*(4*d + 1)
Let m = 245/5496 + -2/687. Let g(u) be the second derivative of -m*u**4 + 1/120*u**6 + 1/8*u**2 + 0*u**5 - 2*u + 0 + 0*u**3. Factor g(v).
(v - 1)**2*(v + 1)**2/4
Let k be (2 - 3) + (-6 - -4 - -5). Find w such that -2*w - 4/3*w**2 + k*w**4 + 2/3*w**5 + 4/3*w**3 - 2/3 = 0.
-1, 1
Let n(r) be the first derivative of r**6/36 - 7*r**5/90 + r**4/18 - r**2/2 - 2. Let c(j) be the second derivative of n(j). Solve c(a) = 0 for a.
0, 2/5, 1
Let v(i) = i**2 - 2*i + 2. Let n be v(2). Let k be 0/((3 - 1)/n). Let 2/5*a**2 + 0*a**3 - 1/5*a + k + 1/5*a**5 - 2/5*a**4 = 0. Calculate a.
-1, 0, 1
Let p(z) be the first derivative of -1/12*z**4 + 1/6*z**2 + 0*z + 2 + 0*z**3. Factor p(u).
-u*(u - 1)*(u + 1)/3
Suppose -4/13*r + 0 - 18/13*r**4 - 2*r**2 - 40/1