+ 13/18. Solve m*g**2 + 10/7*g - 2/7*g**3 + 4/7 - 2/7*g**4 = 0.
-1, 2
Factor 1458*q**3 + 13 + 3 + 307*q - 91*q + 31*q**2 + 941*q**2.
2*(9*q + 2)**3
Let b(m) be the third derivative of -5*m**8/504 + 11*m**7/315 - 19*m**6/900 - 23*m**5/450 + 2*m**4/45 + 4*m**3/45 - 7*m**2. What is w in b(w) = 0?
-2/5, 1
Let q(x) = x**3 + x - 1. Let o = -3 - -2. Let z(u) = -2*u**4 + 6*u**2 + 12*u + 2. Let r(b) = o*z(b) + 2*q(b). Factor r(p).
2*(p - 2)*(p + 1)**3
Let o(d) be the third derivative of 0*d**3 + 0*d - 1/240*d**5 + 0*d**4 - 1/480*d**6 + d**2 + 0. Suppose o(l) = 0. What is l?
-1, 0
Let p(o) be the third derivative of o**5/120 - o**4/12 + o**3/4 + 9*o**2 + 3. Let p(j) = 0. What is j?
1, 3
Suppose a = -2, u + 0*a = 2*a + 7. Find c, given that -2/5*c - 4*c**4 + 0 - 12/5*c**2 - 24/5*c**u - 6/5*c**5 = 0.
-1, -1/3, 0
Suppose -29*c + 74 - 16 = 0. Factor 0 - 1/2*l**3 + 0*l + 0*l**c - 9/4*l**4 - l**5.
-l**3*(l + 2)*(4*l + 1)/4
Let s = -5 + 8. Factor 8*x**s - 5*x**3 - 18*x + 15*x.
3*x*(x - 1)*(x + 1)
Let m be ((-8)/(-18))/(52/39). Factor -2/3*o**2 + m*o + 0.
-o*(2*o - 1)/3
Let d be (-9)/2*(-8)/12. Suppose -3*w - d*g = 3, 2*g = -2*w - w. Factor 2*h**5 - 2*h + h - 5*h**5 + w*h**3 + 2*h**5.
-h*(h - 1)**2*(h + 1)**2
Suppose q - 10 = 3*a + 3*q, -q = a + 5. Let c(d) be the third derivative of a + 2*d**2 - 1/66*d**4 + 0*d + 1/330*d**5 + 0*d**3. Determine t so that c(t) = 0.
0, 2
Let y(v) = 9*v - 9. Let q(z) = z - 3. Let n be q(6). Let k(x) = -x**2 - 9*x + 10. Let l(s) = n*k(s) + 4*y(s). Factor l(o).
-3*(o - 2)*(o - 1)
Let h(w) be the third derivative of w**7/140 + w**6/80 - 6*w**2. What is x in h(x) = 0?
-1, 0
Let s(t) = -2*t**2 + 2. Let k(h) = -h**2 - h + 2. Let q(n) = -4*k(n) + 3*s(n). Solve q(c) = 0.
1
Let u(v) be the third derivative of -2*v**2 - 1/45*v**3 + 0*v - 1/90*v**4 + 0 - 1/450*v**5. Factor u(c).
-2*(c + 1)**2/15
Let r = 433 - 431. Let i be 1/3 + 3/9. Factor 0*n - i + 2/3*n**r.
2*(n - 1)*(n + 1)/3
Let n = 947 + -945. Determine x so that 0*x + 0 + 2/15*x**3 + 2/15*x**n = 0.
-1, 0
Let x = -26 - -18. Let a(p) = p**3 + 8*p**2 - p - 6. Let l be a(x). Factor -7/5*m**l + m + 2/5.
-(m - 1)*(7*m + 2)/5
Let 0*h**3 - 2/3*h**2 + 2/9*h**4 - 4/9*h + 0 = 0. Calculate h.
-1, 0, 2
Find h, given that -29/5*h**3 + 0 + 31/5*h**2 - 2/5*h = 0.
0, 2/29, 1
Let b be (2/(-4))/((-85)/34). What is g in 0*g**2 + 0 + 0*g - b*g**4 + 1/5*g**3 = 0?
0, 1
Find n, given that 0*n + 10/3*n**3 + 2*n**2 + 0 + 2/9*n**5 + 14/9*n**4 = 0.
-3, -1, 0
Let p(r) be the second derivative of -r**7/273 + r**6/195 + r**5/130 - r**4/78 - 2*r. Factor p(x).
-2*x**2*(x - 1)**2*(x + 1)/13
Let w = 1 + 4. Find t such that 0*t**5 - t**w - t**4 + 6*t**4 - 3*t**4 = 0.
0, 2
Suppose -3*m - 9 = 3*s, -3*s - 8*m = -7*m + 3. Factor -b + s + 2*b**4 - 13/2*b**3 + 11/2*b**2.
b*(b - 2)*(b - 1)*(4*b - 1)/2
Let r(l) be the third derivative of -l**6/200 - l**5/25 - l**4/40 + 3*l**3/5 - 30*l**2. Find x, given that r(x) = 0.
-3, -2, 1
Let i be -5 + 6 - (-1 + 2). Suppose 0 - g - 7*g**3 + 2*g**2 + i + 6*g**3 = 0. What is g?
0, 1
Let l(d) = 3*d**5 + 19*d**4 + 17*d**3 + 13*d**2 - 4*d. Let k(p) = 12*p**5 + 75*p**4 + 69*p**3 + 51*p**2 - 15*p. Let v(o) = 4*k(o) - 15*l(o). Factor v(x).
3*x**2*(x + 1)**2*(x + 3)
Let h(x) be the first derivative of x**6/120 - x**5/20 + 5*x**4/48 - x**3/12 + 6*x + 5. Let m(q) be the first derivative of h(q). Suppose m(r) = 0. Calculate r.
0, 1, 2
Let i(c) = c**2 + 9*c + 5. Let y be i(-9). Find j, given that 0*j**4 + 6*j**5 + 9*j**y + 6*j**4 = 0.
-2/5, 0
Let v(c) be the third derivative of c**7/630 - c**6/90 + c**5/36 - c**4/36 - c**2. Determine n so that v(n) = 0.
0, 1, 2
Let l(j) be the first derivative of j**3 - 15*j**2/2 - 18*j - 11. Factor l(x).
3*(x - 6)*(x + 1)
Let t = -34/7 - -75/14. Suppose 1/2*b**2 - 1/2*b + 0 + t*b**3 - 1/2*b**4 = 0. Calculate b.
-1, 0, 1
Suppose 0 = 3*a + a + 4. Let n be (a/3)/((-2)/12). Factor -6*x - x**n + x + 2*x + 2*x.
-x*(x + 1)
Factor 6*g**3 - 6*g**4 - 5*g + 0 + 3 + 3*g**4 - g.
-3*(g - 1)**3*(g + 1)
Let z(m) be the first derivative of 4*m**6/3 - 6*m**5/5 - 13*m**4/2 + 34*m**3/3 - 3*m**2 - 4*m - 7. Find f, given that z(f) = 0.
-2, -1/4, 1
Let r(z) be the first derivative of 3/2*z**2 + 1 + 3/4*z**4 + 0*z + 2*z**3. Factor r(s).
3*s*(s + 1)**2
Suppose -4*o = 5*b - 22, 2*b + 9 = -b + 5*o. Factor 1/4*y**b + 0*y - 1/4.
(y - 1)*(y + 1)/4
Let n(t) be the first derivative of -5/8*t**2 - 1/2*t + 4 - 1/16*t**4 - 1/3*t**3. Factor n(q).
-(q + 1)**2*(q + 2)/4
Let x(w) = -w + 1. Let y(s) = -s**2 - s + 2. Let c(m) = -x(m) + y(m). Determine t, given that c(t) = 0.
-1, 1
Let z(h) be the third derivative of h**7/12600 + h**6/1800 + h**4/24 + 2*h**2. Let w(c) be the second derivative of z(c). Find a, given that w(a) = 0.
-2, 0
Let t(v) be the third derivative of -v**7/10080 - 5*v**4/24 + 5*v**2. Let f(w) be the second derivative of t(w). Suppose f(g) = 0. Calculate g.
0
Suppose 4*i - c + 6 = -1, i + 7 = 2*c. Let p(g) = -2*g. Let b be p(i). Factor -18/5*f**2 + 2/5*f - b*f**4 + 4/5 - 26/5*f**3.
-2*(f + 1)**3*(5*f - 2)/5
Suppose -c + 0*c + 3 = -a, -4*a - 14 = -5*c. Suppose z - q = -0*q + 2, -4*q - 6 = -3*z. Solve z*k**c + 1 - 6*k + 1 + 2 = 0 for k.
1, 2
Suppose 2*c - 7*c = -30. Factor -33*v**4 + 2*v**3 - 4*v**5 - c*v**3 + 41*v**4.
-4*v**3*(v - 1)**2
Let k(n) = 11*n - 2. Let p be k(-3). Let r be 40/(-2)*14/p. Factor -5*y**5 - r*y**4 + 6*y**3 + 2*y**3 + 7*y**5.
2*y**3*(y - 2)**2
Let k be 1/((-3)/2 + 2). Let o(f) be the third derivative of -f**k - 1/20*f**5 - 1/24*f**4 - 1/210*f**7 + 0*f - 1/40*f**6 + 0 + 0*f**3. Factor o(c).
-c*(c + 1)**3
Let g(z) be the first derivative of 14*z**5/5 + 6*z**4 - 8*z**3/3 - 8. Factor g(k).
2*k**2*(k + 2)*(7*k - 2)
Let t(z) be the second derivative of -z**7/70 + z**6/25 - 3*z**5/100 + 40*z. Find u such that t(u) = 0.
0, 1
Let f(r) be the third derivative of -5*r**2 + 0*r**4 + 0*r**3 + 1/20*r**6 + 1/70*r**7 + 0 + 0*r**5 - 1/112*r**8 + 0*r. Factor f(u).
-3*u**3*(u - 2)*(u + 1)
Find f such that 8*f**2 + 0*f**3 - f**4 + 0*f**3 - 7*f**2 = 0.
-1, 0, 1
Let d(s) = s**3 + s. Let h(n) = -n**4 + 2*n**3 + 3*n**2 + 8*n + 2. Let q(y) = 15*d(y) - 5*h(y). What is o in q(o) = 0?
-1, 2
Suppose 54*r**3 - 81*r**5 + 2*r**2 + 3*r + 6*r**2 - 11*r**2 - 21*r**2 = 0. Calculate r.
-1, 0, 1/3
Let o(h) be the second derivative of h**6/10 + 9*h**5/10 + 3*h**4 + 5*h**3 + 9*h**2/2 - 10*h. Factor o(s).
3*(s + 1)**3*(s + 3)
Let a(d) = d**4 + d**2 - d - 1. Let g(r) = 18*r**4 - 3*r**3 + 6*r**2 - 21. Let u(x) = 15*a(x) - g(x). Let u(c) = 0. Calculate c.
-2, 1
Let m(j) = -j**3 - 13*j**2 + j + 16. Let w be m(-13). Let v(z) be the first derivative of -2/3*z**2 - w - 10/9*z**3 - 1/2*z**4 + 0*z. Factor v(p).
-2*p*(p + 1)*(3*p + 2)/3
Let a(u) = 3*u**4 + u**3 + 5*u**2 - u + 2. Let m(g) = 7*g**4 + g**3 + 11*g**2 - 3*g + 5. Let y(t) = 10*a(t) - 4*m(t). Factor y(f).
2*f*(f + 1)**3
Suppose -1/2*l**3 + 1/2*l - l**2 + 1 = 0. What is l?
-2, -1, 1
Let o(v) be the second derivative of v**4/54 - 8*v**3/27 + 37*v. Factor o(q).
2*q*(q - 8)/9
Let z(p) be the second derivative of -p**6/10 - 3*p**5/10 + 3*p**4/4 + 4*p**3 + 6*p**2 + 5*p. Find k, given that z(k) = 0.
-2, -1, 2
Let b(r) = r**3 + 13*r**2 - r + 1. Let l = 7 - 14. Let w(z) = z**3 + 7*z**2 - z + 1. Let k(s) = l*w(s) + 4*b(s). Find y such that k(y) = 0.
-1, 1
Suppose -7 + 4 = -z - a, a = 3. Let n(r) be the third derivative of 0*r**7 + 4*r**2 + 1/80*r**6 + 0*r**5 + 0*r**4 + z*r**3 + 0 - 1/224*r**8 + 0*r. Factor n(j).
-3*j**3*(j - 1)*(j + 1)/2
Let w(k) be the second derivative of 0*k**4 + 3*k - 3/10*k**5 - 1/10*k**6 + 0*k**2 + 0 + 0*k**3. Determine n, given that w(n) = 0.
-2, 0
Let w(q) = -q**3 - 6*q**2 + 6*q + 8. Let v be w(-7). Let z be 4*9/12 + 2. Factor 6*b**2 + 4*b**z - 16*b**4 - 10*b**2 + 25*b**3 + 3*b - v*b**2 + 4*b - 1.
(b - 1)**3*(2*b - 1)**2
Let p = 32/15 - 2. Let j(n) be the first derivative of -1 - p*n**3 - 1/10*n**4 + 0*n**2 + 0*n. What is r in j(r) = 0?
-1, 0
Let l(t) be the third derivative of 1/20*t**5 + 4*t**2 + 0 + 0*t + 1/4*t**4 - 3/2*t**3. Suppose l(f) = 0. Calculate f.
-3, 1
Let w be 2/9 + (-350)/(-126). Factor -r**3 - 15*r + r**w + 6*r**2 - 2*r**4 + 11*r.
-2*r*(r - 1)**2*(r + 2)
Let i(x) be the third derivative of 2*x**7/315 - x**6/18 + x**5/5 - 7*x**4/18 + 4*x**3/9 + 10*x**2. What is j in i(j) = 0?
1, 2
Let y be 640/50 + (-2 - (-2 + 0)). Factor 2/5