*5/30 - 7*b**4/18 + b**3/9 + 7*b**2/3 - 10*b - 1. Factor y(r).
-2*(r - 1)*(r + 1)*(r + 7)/3
Let d = 62 - 59. Find v, given that -4/9*v + 0*v**2 - 2/9 + 4/9*v**d + 2/9*v**4 = 0.
-1, 1
Suppose 2*b - 3*u = -2*u, 3*b = -5*u + 26. Suppose -b*q - 2 = -2*z, 0*z + 5*q = z + 3. Determine x so that 4/5*x + 4/5 + 1/5*x**z = 0.
-2
Factor -4/5*s**4 - 4/5*s**3 + 4/5*s**2 + 0 + 4/5*s**5 + 0*s.
4*s**2*(s - 1)**2*(s + 1)/5
Let n(h) = -h**3 - 10*h**2 + 3*h + 34. Let w be n(-10). Solve 0*o**2 + 0 + 1/3*o**w + 0*o + 1/3*o**5 + 0*o**3 = 0 for o.
-1, 0
Suppose -5*k + 0 + 1 = -b, 3*k - 19 = -4*b. Factor 0*o + 0*o**3 + 0 - 2/5*o**2 + 2/5*o**b.
2*o**2*(o - 1)*(o + 1)/5
Determine h so that 6/7*h**2 - 8/7*h - 2/7*h**4 - 8/7 + 4/7*h**3 = 0.
-1, 2
Determine n so that 1/2*n + 0 + 1/4*n**3 + 3/4*n**2 = 0.
-2, -1, 0
Let k(d) be the first derivative of -d**3/15 + 17. Factor k(u).
-u**2/5
Let b(u) be the first derivative of -169*u**4/10 - 104*u**3/15 - 4*u**2/5 + 20. Determine v, given that b(v) = 0.
-2/13, 0
Let n(q) = -q**2 + 8*q - 9. Let r be n(5). Let i be ((-3)/(-12))/(r/8). Factor i*v**5 + 0*v**4 + 0*v**2 + 1/3*v - 2/3*v**3 + 0.
v*(v - 1)**2*(v + 1)**2/3
Let l = 29/126 - -1/18. Factor -2/7*u + 0 - l*u**2.
-2*u*(u + 1)/7
Solve 4*h**5 - 11*h**5 + 45*h**3 + 2*h**5 + 5*h**4 - 60*h**2 - 5*h**3 = 0.
-3, 0, 2
Suppose -5*d**3 - 8*d**3 + d**3 - 15*d**2 + 7*d**3 = 0. Calculate d.
-3, 0
Let t be 556 + (1 - -1) - 2. Suppose q = -q + t. Factor 204*b**4 + q*b**3 + 2 + 6 + 50*b**5 + 64*b + 194*b**2 - 14*b**4.
2*(b + 1)**3*(5*b + 2)**2
Suppose -2*r + 3 + 1 = 0. Find n, given that -n**3 + r*n**3 + 4*n + n**2 - 6*n = 0.
-2, 0, 1
Let b(i) be the second derivative of 7*i**5/5 + 16*i**4/3 + 8*i**3/3 + i. Factor b(p).
4*p*(p + 2)*(7*p + 2)
Let a(y) be the first derivative of y**3 + 1 + 5/12*y**4 + 2/3*y + 7/6*y**2 + 1/15*y**5. Solve a(p) = 0.
-2, -1
Let s(u) be the third derivative of -u**10/105840 + u**9/26460 - u**8/23520 + u**4/6 - 4*u**2. Let f(k) be the second derivative of s(k). Factor f(y).
-2*y**3*(y - 1)**2/7
Let o(y) be the second derivative of y**5/20 - 2*y**4/15 + y**3/30 + y**2/5 + 25*y. What is i in o(i) = 0?
-2/5, 1
Let k(s) = -2*s**4 + s**3 + s**2 + 6*s. Let h(p) = -p**4 - p**3 - p**2 + 2*p. Let f(m) = 15*h(m) - 5*k(m). Factor f(v).
-5*v**2*(v + 2)**2
Let z be 19/5 - 4/5. Let f(r) be the first derivative of 4/3*r + 121/9*r**z - 2 - 22/3*r**2. Let f(w) = 0. Calculate w.
2/11
Factor -v**3 - 14*v + 5*v**3 + 4*v**2 + 6*v.
4*v*(v - 1)*(v + 2)
Let t(a) be the first derivative of a**5/20 - a**4/16 + 2. Factor t(h).
h**3*(h - 1)/4
Let w = -12 + 17. Suppose 20 = w*h, -4*q + 4*h - 2 = 14. Determine b, given that 1/5*b**3 + q + 0*b**2 - 1/5*b = 0.
-1, 0, 1
Let f = 553880399/286370 - -13/40910. Let u = -1931 + f. Factor -4/7 + u*z - 6*z**2 - 10/7*z**4 + 34/7*z**3.
-2*(z - 1)**3*(5*z - 2)/7
Find s, given that -1/2*s - 2/3 + 1/6*s**2 = 0.
-1, 4
Let w(j) be the second derivative of -j**4/24 + j**3/6 + 31*j. Suppose w(v) = 0. Calculate v.
0, 2
Let s(v) = -3*v**3 + v**2 + 2*v - 2. Let y(n) = -16*n**3 + 5*n**2 + 11*n - 11. Let p(g) = -22*s(g) + 4*y(g). Find c, given that p(c) = 0.
0, 1
Let v(u) be the second derivative of u**6/120 - 3*u**5/40 + 3*u**4/16 - 11*u. Factor v(m).
m**2*(m - 3)**2/4
Factor 0 + 0*o + 4/7*o**3 - 2/7*o**2 - 2/7*o**4.
-2*o**2*(o - 1)**2/7
Let p(k) be the first derivative of 1/18*k**4 + 0*k - 2/45*k**5 + 0*k**2 + 0*k**3 - 3. Factor p(l).
-2*l**3*(l - 1)/9
Determine c so that 0 + 1/4*c**3 + 1/2*c**2 + 0*c = 0.
-2, 0
Let m(x) be the first derivative of x**3/3 + x**2/2 - 2*x - 5. Factor m(v).
(v - 1)*(v + 2)
Let z be (-10)/(-6) + (-5)/(-15). Factor z*h**3 - 2*h + 0*h**3 + h**2 - 4*h**2.
h*(h - 2)*(2*h + 1)
Determine l, given that -12/7*l**2 + 3/7*l + 0 = 0.
0, 1/4
Let r = -11 + 3. Let s be (r/12)/(4/(-9)). Solve -s*f - 1/2 - 3/2*f**2 - 1/2*f**3 = 0.
-1
Let y be (-28)/(-35) + (-6)/(-5). Factor -f**y - 2/3 - 5/3*f.
-(f + 1)*(3*f + 2)/3
Let y(p) be the third derivative of p**6/20 - 31*p**5/180 - p**4/6 + 2*p**3/9 + 20*p**2. Factor y(s).
(s - 2)*(2*s + 1)*(9*s - 2)/3
Determine t so that -32*t - 43*t**3 - 5*t**4 + 24*t**2 + 32 - 85*t**2 - 41*t**2 = 0.
-4, -1, 2/5
Factor 0*h**2 + h**5 + 0*h**3 + 1/4*h**4 + 0*h + 0.
h**4*(4*h + 1)/4
Let o(u) be the third derivative of -u**7/70 + 3*u**6/20 - u**5/5 - 3*u**4/4 + 5*u**3/2 - 18*u**2. Suppose o(q) = 0. What is q?
-1, 1, 5
Let d be (-6)/(-4) - 3/(-2). Suppose -2*h + d*j + 9 = h, 4*h - 10 = 5*j. Factor -4*m**4 + 3*m**5 - m**h - m**3 + 3*m**3.
2*m**3*(m - 1)**2
Let l = -6 + 6. Find p, given that -2*p**3 + l*p**3 + 6*p + 1 - 5 = 0.
-2, 1
Let s(w) = -w**2 + 3*w + 4. Let t(o) = -4*o**2 + 8*o + 11. Let q(z) = 14*s(z) - 4*t(z). Solve q(m) = 0 for m.
-3, -2
Let s(u) be the second derivative of u**6/900 + u**5/150 + u**4/60 + u**3/3 + 3*u. Let v(m) be the second derivative of s(m). What is z in v(z) = 0?
-1
Find r, given that -2*r + 13*r - r**3 - 13*r - 3*r**2 = 0.
-2, -1, 0
Let l(z) = -z**2 + 4*z - 3. Let b(t) = -t + 1. Let x be 0 - (-7 - -1) - 2. Suppose 4 = 2*q + 2. Let w(v) = q*l(v) + x*b(v). Factor w(u).
-(u - 1)*(u + 1)
Let 0*z**2 - 4*z**4 + 0 + 3/2*z**5 - 1/2*z + 3*z**3 = 0. Calculate z.
-1/3, 0, 1
Suppose 3*h - 5*q = -0*h - 13, -2*q + 6 = -h. Solve 4*x**3 - 19*x**4 + 17*x**h - 3*x**2 + x**2 = 0.
0, 1
Let l(c) be the second derivative of 5*c**4/12 + c**3/6 + 3*c**2 + 2*c. Let n(q) = -11*q**2 - 2*q - 13. Let z(i) = 13*l(i) + 6*n(i). Let z(p) = 0. Calculate p.
0, 1
Let y(p) be the third derivative of -p**5/510 - p**4/102 + p**3/17 + 15*p**2. Solve y(i) = 0 for i.
-3, 1
Let a be (4/3)/(3 + 3 - 0). Factor -2/9*r + a + 2/9*r**3 - 2/9*r**2.
2*(r - 1)**2*(r + 1)/9
Suppose 2 = 3*b + 4*f + 6, b - 12 = 2*f. Suppose v - 2 = -u + 2, -5*v - b*u = -20. Factor 21*o - 2*o**2 - 21*o + 2*o**v.
2*o**2*(o - 1)*(o + 1)
Factor 4/9*r - 4/9*r**2 + 4/9*r**4 - 4/9*r**3 + 0.
4*r*(r - 1)**2*(r + 1)/9
Let m(g) be the third derivative of 1/60*g**5 + 0*g**4 + 0 + 0*g + 5*g**2 - 1/6*g**3. Let m(r) = 0. Calculate r.
-1, 1
Let a = 399/80 - 35/16. Determine k so that 3/5*k + 4*k**5 - 2/5 - 23/5*k**3 - 12/5*k**4 + a*k**2 = 0.
-1, -2/5, 1/2, 1
Suppose 0*u = u - 24. Let 4*t + 0*t - u*t**2 - 2*t**3 + 26*t**2 = 0. What is t?
-1, 0, 2
Let j(m) be the third derivative of -2*m**7/315 + 8*m**5/45 - 32*m**3/9 - 6*m**2. Solve j(l) = 0 for l.
-2, 2
Let v = -2023/9 - -225. Solve -v*g**2 - 8/9*g - 8/9 = 0.
-2
Factor 2/7*z**4 + 0*z**3 + 0 - 6/7*z**2 - 4/7*z.
2*z*(z - 2)*(z + 1)**2/7
Let d(l) = -l. Let k be d(-4). Let w(s) be the third derivative of 0*s - 1/420*s**6 + 0*s**3 - 1/210*s**5 + 1/735*s**7 + 1/84*s**k + 0 - 4*s**2. Factor w(c).
2*c*(c - 1)**2*(c + 1)/7
Let v(u) be the first derivative of -u**5/5 + 5*u**4/4 - 3*u**3 + 7*u**2/2 - 2*u - 15. Solve v(l) = 0.
1, 2
Let h(p) be the first derivative of 2*p**3/9 - 2*p**2/3 + 2*p/3 - 30. Suppose h(y) = 0. Calculate y.
1
Let h(w) be the second derivative of 7*w**4/20 + w**3/2 - 3*w**2/5 - 4*w. Factor h(c).
3*(c + 1)*(7*c - 2)/5
Let c be (-3)/(-1*(-3)/(-2)). Suppose -c*o**2 + 5*o**2 - 2*o**2 = 0. What is o?
0
Let i(g) = 11*g**4 + 32*g**3 + 21*g**2 - 8*g + 8. Let o(j) = -4*j**4 - 11*j**3 - 7*j**2 + 3*j - 3. Let w(t) = 3*i(t) + 8*o(t). Factor w(h).
h**2*(h + 1)*(h + 7)
Determine p so that 8/7*p**2 + 0 + 8/7*p + 2/7*p**3 = 0.
-2, 0
Let a be 6*(-5)/(-50)*5. Suppose m = 6*m - a*y + 5, -3*m + 4*y - 14 = 0. Determine n so that 0 + 1/2*n + 1/2*n**m - 1/2*n**3 - 1/2*n**4 = 0.
-1, 0, 1
Let l(q) = -7*q**4 - 8*q**3 - 3*q**2 + 3*q. Let i(c) = -36*c**4 - 40*c**3 - 16*c**2 + 16*c. Let d(y) = 3*i(y) - 16*l(y). Factor d(p).
4*p**3*(p + 2)
Factor 4*w**2 + 2 + w - w - 6*w**2.
-2*(w - 1)*(w + 1)
Let 4/9 + 14/9*b**3 + 22/9*b + 32/9*b**2 = 0. Calculate b.
-1, -2/7
Let m(i) be the first derivative of -2*i**3/3 + 8*i**2 - 32*i - 5. Solve m(k) = 0.
4
Let c(w) be the second derivative of w**7/105 - w**5/15 + w**3/3 - 3*w**2/2 + w. Let z(a) be the first derivative of c(a). Factor z(h).
2*(h - 1)**2*(h + 1)**2
Suppose 7*q**2 - 6 + 10*q + 12*q - 16*q**2 - 7*q = 0. What is q?
2/3, 1
Let r be 16/(-40)*(-10)/16. Suppose 1/2*l**3 + r + 1/4*l**5 - 3/4*l**4 - 3/4*l + 1/2*l**2 = 0. What is l?
-1, 1
Suppose -168*h + 169*h = 0. Factor 2/7*f**2 - 4/7*f + h.
2*f*(f - 2)/7
Factor -18/11*d**2 + 18/11 - 6/11*d + 6/11*d**3.
6*(d - 3)*(d - 1)*(d + 1)/11
Let k(s) be the first deriva