/105*m**6 - 1/7*m**2. Factor c(b).
2*(b - 1)**3*(2*b + 1)/7
Let k = 4206/1765 - -6/353. Let z(v) be the first derivative of 16/5*v + k*v**2 + 1/10*v**4 + 2 + 4/5*v**3. Solve z(r) = 0.
-2
Let q(l) be the third derivative of -l**7/1050 + l**6/200 - l**5/150 - 45*l**2. Let q(h) = 0. What is h?
0, 1, 2
Let 6/7*c + 6/7*c**2 + 2/7*c**3 + 2/7 = 0. Calculate c.
-1
Let h(d) be the third derivative of -d**8/84 - 2*d**7/105 - 8*d**2. Factor h(k).
-4*k**4*(k + 1)
Let v(o) = 18*o**2 + 6*o - 12. Let r(s) = -19*s**2 - 6*s + 13. Let q(h) = -3*r(h) - 4*v(h). Solve q(w) = 0.
-1, 3/5
Let g = -59 - -533/9. Suppose 8/9*m - g*m**2 - 8/9 = 0. Calculate m.
2
Factor -1/3*y**3 - y + y**2 + 1/3.
-(y - 1)**3/3
Let c(l) = -l**2 + l - 198. Let d be c(0). Let s be 38/88 + 36/d. Determine o so that 0 - 1/4*o**4 + 0*o - s*o**2 - 1/2*o**3 = 0.
-1, 0
Solve -2/3*y**2 + 1/3*y**3 + 0*y + 0 = 0 for y.
0, 2
Suppose -11 = -4*b - k, -k + 7 = 2*b - 0*b. Solve f + 1/4*f**4 + 3/4*f**b - 1 - f**3 = 0.
-1, 1, 2
Let u(c) = 3 - 1 + 1. Let q(k) = -k**2 - 2*k + 20. Let s(t) = -3*q(t) + 21*u(t). Let s(i) = 0. Calculate i.
-1
Let t(l) = -l**2 + 9*l - 12. Let j be t(5). Let p be (1 - 2) + 12/j. Factor 0*g**2 + 0*g**4 - p*g + 0 - 1/2*g**5 + g**3.
-g*(g - 1)**2*(g + 1)**2/2
Let b(t) = 3*t**2 + 24*t. Let x(s) = s. Let g(k) = b(k) - 18*x(k). Factor g(l).
3*l*(l + 2)
Let r = -6 + 11. Suppose -g = -1 - 1. Let -g*n**r + 3/2*n**2 + 0 - 3/2*n**4 - 1/2*n + 5/2*n**3 = 0. What is n?
-1, 0, 1/4, 1
Factor -7*t**4 + 54*t - 3*t**2 - 10*t**2 - 5*t**2 + 108 - 14*t**3 + 5*t**4.
-2*(t - 2)*(t + 3)**3
Let u = -4 - -5. Suppose -16 = -5*n - u. Factor 12*y**2 + 2*y**3 + 18 + 0*y**n - 2 + 24*y.
2*(y + 2)**3
Suppose 4 = -9*v + 11*v. Suppose 3*a + a**v + a**2 - 7*a = 0. What is a?
0, 2
Let q(t) be the second derivative of 0 + 1/60*t**4 + 0*t**2 - 1/30*t**3 - 5*t. Suppose q(k) = 0. Calculate k.
0, 1
Let k(c) be the third derivative of -c**6/120 - c**5/20 - c**4/8 - c**3/6 - 13*c**2. Factor k(q).
-(q + 1)**3
Let c(b) = b**2 + 10*b - 5. Let d be c(-11). Let f(y) be the third derivative of -1/12*y**d - y**2 + 0*y + 0 - 2/3*y**3 + 5/12*y**4 + 1/15*y**5. Factor f(o).
-2*(o - 1)*(o + 1)*(5*o - 2)
Let o(j) be the first derivative of 10 - 1/7*j**2 + 0*j - 2/21*j**3. Factor o(m).
-2*m*(m + 1)/7
Suppose -15 = 3*y + 12. Let f be 0*(-3)/y*1. Suppose f*s**3 + 2*s**3 - s**3 - s = 0. What is s?
-1, 0, 1
Let u(s) be the second derivative of 3*s**5/40 - 7*s**4/8 + 15*s**3/4 - 27*s**2/4 + 2*s. Factor u(v).
3*(v - 3)**2*(v - 1)/2
Let u(b) be the third derivative of b**7/315 + 7*b**6/360 - b**5/30 + b**4/24 - b**2. Let n(i) be the second derivative of u(i). Factor n(f).
2*(f + 2)*(4*f - 1)
Let t = -28 + 34. Solve -3*f**5 + 3*f**3 - 5*f**2 + t*f**4 + 2*f**2 + 0*f**2 - 3*f**4 = 0 for f.
-1, 0, 1
Find y, given that 1/3*y**5 + 0*y - y**4 - 4/3 + 7/3*y**2 - 1/3*y**3 = 0.
-1, 1, 2
Let j(p) = -13*p**3 - p + 2. Let w be j(-2). Find l, given that 0*l**3 - 32*l**2 - w - 108*l - l**3 - 4*l**2 - 3*l**3 = 0.
-3
Factor -1/5*m + 1/5*m**3 + 1/5*m**4 - 1/5*m**2 + 0.
m*(m - 1)*(m + 1)**2/5
Let j = -770 - -8463/11. Let b = j - -39/44. Factor -1/2 + 1/4*v + b*v**2.
(v - 1)*(v + 2)/4
Let m(s) be the first derivative of s**6/18 + 2*s**5/5 + 13*s**4/12 + 4*s**3/3 + 2*s**2/3 - 10. Solve m(c) = 0 for c.
-2, -1, 0
Let t(j) = -j**3 + 7*j**2 - 13*j + 6. Let x be t(4). Factor -1/6*n**3 + 0*n - 1/2*n**x + 2/3.
-(n - 1)*(n + 2)**2/6
Factor 0 + 50/11*p**4 + 42/11*p**3 + 18/11*p**5 + 6/11*p**2 - 4/11*p.
2*p*(p + 1)**3*(9*p - 2)/11
Let k(h) = h. Let z be k(3). Factor 2*y + 9*y**2 - 7*y**2 - 10*y**3 + z*y**2 - 4*y**2.
-y*(2*y - 1)*(5*y + 2)
Suppose 2*a = -p, -p - 4*a = a + 6. Determine t, given that -4/11*t**2 + 0*t + 0 + 6/11*t**3 + 0*t**p - 2/11*t**5 = 0.
-2, 0, 1
Factor 1/4*c**3 + 0 + 3/4*c**2 + 1/2*c.
c*(c + 1)*(c + 2)/4
Let z = 22 - 6. Let r be 2*z/28 + 0. Let -r*d - 2/7*d**2 - 8/7 = 0. Calculate d.
-2
Factor j**2 + 5*j + j**2 + j + 9 - j**2.
(j + 3)**2
Let u = 556/5 + -111. Factor 0 + 2/5*t - u*t**2.
-t*(t - 2)/5
Let f be (-2 - 3399/(-1560)) + 14/(-91). Let s(y) be the second derivative of 0 + 0*y**2 - f*y**5 + 0*y**3 - 2*y - 1/24*y**4. Factor s(k).
-k**2*(k + 1)/2
Let s be 2 + 3 + (-1 - 2). Suppose -g - s*n + 2 + 4 = 0, -4*n = -2*g - 12. Factor 0 - 1/4*l**3 - 1/2*l**2 + g*l.
-l**2*(l + 2)/4
Factor -3/5 + 6/5*h - 3/5*h**2.
-3*(h - 1)**2/5
Let z be (-3)/(6/12*-2). Let v(l) be the second derivative of -1/45*l**5 + 2/27*l**z + 0 + 1/9*l**2 - 1/54*l**4 - 2*l. Suppose v(h) = 0. Calculate h.
-1, -1/2, 1
Find x such that 3*x - 20*x**4 + 12*x**5 - 3*x + 25*x**2 - 16*x**3 - 9*x**2 = 0.
-1, 0, 2/3, 2
Let x be (3 - 43/14)/((-17)/102). What is o in 0*o - 3/7*o**2 + 0 + x*o**3 = 0?
0, 1
Let f be -3 + -4*(-18)/24. Factor 0*k**2 + 2/7*k**4 + 0*k**3 + 0*k + f.
2*k**4/7
Suppose 3 - 9/2*u**2 + 7/2*u + u**3 = 0. Calculate u.
-1/2, 2, 3
Let l(f) be the third derivative of f**5/180 + f**4/36 + f**3/18 + 5*f**2. Factor l(q).
(q + 1)**2/3
Let o(b) be the third derivative of b**7/315 + b**6/135 - b**5/270 - b**4/54 - 8*b**2. Suppose o(l) = 0. Calculate l.
-1, 0, 2/3
Let b = 380 + -2658/7. Find g, given that 2/7 - 8/7*g + 12/7*g**2 + b*g**4 - 8/7*g**3 = 0.
1
Let f(p) = -p**2 + 8*p - 1. Let q be f(7). Let w(h) = -h**3 + 5*h**2 + 5*h + 6. Let t be w(q). Factor 0*l**2 - l**2 - l + t*l**2.
-l*(l + 1)
Let g(x) = 2*x**2 + 4*x - 1. Let y(j) = 3*j**2 + 8*j - 3. Let l be (1 - -1)/((-2)/6). Let k = l + 11. Let c(d) = k*g(d) - 3*y(d). Factor c(w).
(w - 2)**2
Suppose -4*g - 10 = 3*l, -5*l = -5*g + 20 - 50. What is y in -3/8*y**4 + 3/8*y**3 - 15/8*y + 9/8*y**l + 3/4 = 0?
-2, 1
Let j(m) be the third derivative of -m**8/336 + m**6/60 - m**4/24 + 5*m**2. What is y in j(y) = 0?
-1, 0, 1
Solve 5*q + 12*q + 3*q - 20 - 5*q**2 = 0.
2
Let z(t) = 5*t**4 - t**3 - 7*t**2 + 5*t + 14. Let c(k) = -k**4 - k**3 + k**2 + 2*k - 1. Let g(o) = 20*c(o) + 5*z(o). Find m such that g(m) = 0.
-1, 2, 5
Suppose 3*x = 5*x - 4*j - 20, 4*x - 4*j - 28 = 0. Let s(w) be the second derivative of -1/48*w**x + 0*w**3 + 0 - w + 0*w**2. Factor s(n).
-n**2/4
Let x = 154 - 154. Let i(n) be the second derivative of 4/21*n**6 - 4/3*n**3 - 3/49*n**7 - n**4 + x + 23/70*n**5 + 8/7*n**2 + 4*n. Solve i(u) = 0.
-1, 2/9, 2
Let j(k) be the third derivative of -k**6/480 - 4*k**2. Factor j(f).
-f**3/4
Let j be -2*(-95)/(-70) - -3. Factor 0 - j*d**2 - 4/7*d.
-2*d*(d + 2)/7
Factor -16/5*g**2 - 2/5*g**5 - 4/5 + 14/5*g + 4/5*g**4 + 4/5*g**3.
-2*(g - 1)**4*(g + 2)/5
Determine m, given that 2/3*m**4 + 0*m + 0 + 2/3*m**2 - 4/3*m**3 = 0.
0, 1
Let t(r) = 7*r**2 + 6*r + 5. Let f(j) = j**2 - 1. Let a(p) = -17*p**2 - 17*p - 17. Let m(i) = a(i) - 3*f(i). Let h(u) = 6*m(u) + 17*t(u). What is k in h(k) = 0?
-1, 1
Let i(x) be the second derivative of -x**8/840 - x**7/630 + x**6/540 + x**3 - 2*x. Let l(f) be the second derivative of i(f). Determine b so that l(b) = 0.
-1, 0, 1/3
Suppose 1/4*v**3 - 1/2 + 3/4*v**2 - 1/4*v - 1/4*v**4 = 0. What is v?
-1, 1, 2
Determine h, given that 2/13*h**2 - 10/13*h + 8/13 = 0.
1, 4
Let v = 392 - 390. Let -4/3*o**v + 2*o + 2/3*o**4 + 2/3 - 4*o**3 + 2*o**5 = 0. Calculate o.
-1, -1/3, 1
Let c be 174/4 - (-3)/(-6). Suppose -4*f = 12, 3*w + 13 - c = 5*f. Solve 1 + 2 - 2*q**w + 2*q**4 - 3 = 0.
0, 1
Factor 0 + 2/13*o - 2/13*o**2.
-2*o*(o - 1)/13
Let p(v) be the second derivative of 7*v**5/20 - v**4/6 + 17*v. Suppose p(d) = 0. Calculate d.
0, 2/7
Factor 2/3 - 7/3*r + r**2.
(r - 2)*(3*r - 1)/3
Let r = -449 + 453. Factor 2/7*c + 0*c**2 + 1/7 - 2/7*c**3 - 1/7*c**r.
-(c - 1)*(c + 1)**3/7
Let o(t) be the second derivative of -t**6/540 - t**5/180 + t**3/3 - 2*t. Let h(x) be the second derivative of o(x). Factor h(p).
-2*p*(p + 1)/3
Let l(m) = m**2 - 22*m + 45. Let v be l(20). Factor 4/5*y**3 + 14/5*y**4 + 0*y + 0*y**2 + 2*y**v + 0.
2*y**3*(y + 1)*(5*y + 2)/5
Let w be 2/(-7) - (-69)/21. Let y(b) be the third derivative of -1/24*b**4 - 1/12*b**w - 1/120*b**5 + 0*b + 0 - 2*b**2. Factor y(j).
-(j + 1)**2/2
Let o(w) be the first derivative of 1/60*w**5 + 0*w + 1/24*w**4 + 0*w**3 + 1 - w**2. Let l(b) be the second derivative of o(b). Factor l(z).
z*(z + 1)
Suppose 0 = -4*z + 29 + 7. Factor 9*r**3 + 2 + 25*r**2 + z*r**3 + 14*r + 5*r**2.
2*(r + 1)*(3*r + 1)**2
Suppose -7*d + 10 = -2*d. Factor 8/7 + 2/7*v**d + 8/7*v.
2*(v + 2)**2/7
Let x(g) = 3*g**3 - 129*g**2 -