9 + 5*p**2/13 - 166. Factor i(q).
2*q*(q + 5)/13
Suppose 85*c + 124*c = 47*c + 324. Factor -27/7*d + 3/7*d**c + 0.
3*d*(d - 9)/7
Let f(o) be the third derivative of 0*o**3 + 0*o**4 - 2/135*o**5 + 0*o - 10*o**2 + 1/90*o**6 + 0 + 2/189*o**7. Find m, given that f(m) = 0.
-1, 0, 2/5
Let o = 4887/4 + -14645/12. Let -o*p + 2/3 + 2/3*p**2 = 0. Calculate p.
1
Let p(o) be the first derivative of 2*o**4 + 34*o**3/3 + 4*o**2 + 72. Suppose p(t) = 0. Calculate t.
-4, -1/4, 0
Determine g so that 64/7 - 15/7*g**2 - 48/7*g - 1/7*g**3 = 0.
-8, 1
Determine u so that 0 - 2/15*u**2 + 56/15*u = 0.
0, 28
Let t(j) = 3*j + 3. Let m(u) = 2*u - 2 + u**2 - u - 4*u. Let o(n) = -3*m(n) - 2*t(n). Find l such that o(l) = 0.
0, 1
Suppose c - 108 = 5*c. Let z be (-9)/(c/(-6))*-1. Factor -9*p**2 + 4*p**5 - 2 - z*p**2 + 16*p**3 - 4*p + 14*p**4 + 15*p**2.
2*(p + 1)**4*(2*p - 1)
Solve -122*w - 5*w**3 - 130*w**2 - 5 + 30*w - 48*w - 35 + 10*w**5 + 35*w**4 = 0 for w.
-2, -1, -1/2, 2
Let x(k) be the third derivative of -k**6/280 - k**5/140 + k**4/14 + 2*k**3/7 - 35*k**2. Factor x(o).
-3*(o - 2)*(o + 1)*(o + 2)/7
Find v, given that 20 + 65/2*v**3 + 150*v + 135*v**2 = 0.
-2, -2/13
Let p(c) be the second derivative of -c**6/40 - 9*c**5/40 - 11*c**4/16 - 3*c**3/4 + 2*c - 42. Find l such that p(l) = 0.
-3, -2, -1, 0
Suppose -r = -467 + 464. Let y(s) be the third derivative of s**2 + 0 + 1/420*s**5 - 1/42*s**r + 0*s + 0*s**4. Solve y(d) = 0.
-1, 1
Let n(d) be the second derivative of d**5/35 + 2*d**4/21 + 2*d**3/21 + 80*d. Suppose n(h) = 0. What is h?
-1, 0
Factor 2*y**4 + 3792*y - 7*y**2 - 7*y**2 - 12 - 3818*y + 2*y**3.
2*(y - 3)*(y + 1)**2*(y + 2)
Suppose -16*j + 4*j = -60. Find h, given that -74*h**4 + 4*h**j - 81*h**4 - 8*h - 7*h**3 - 20*h**2 - 5*h**3 + 159*h**4 = 0.
-1, 0, 2
Let w = -87 - -82. Let y(o) = 5*o**3 - 9*o**2 + 4*o. Let x(f) = -11*f**3 + 18*f**2 - 7*f. Let k(c) = w*y(c) - 2*x(c). Factor k(g).
-3*g*(g - 2)*(g - 1)
Let s = 783 + -778. Let u(i) be the third derivative of 7*i**2 + 0 - 1/72*i**4 + 0*i - 1/360*i**6 + 0*i**3 - 1/90*i**s. Factor u(f).
-f*(f + 1)**2/3
Let 392/3*l - 16/3*l**3 - 1715/3 + 14*l**2 + 1/3*l**4 = 0. Calculate l.
-5, 7
Let t(z) = -z**2 + 5*z + 13. Let k be t(7). Let s be (-75)/(-12) + 0 - (k - -2). Determine v, given that 49/4*v**5 + 0 - 6*v**3 - v**2 + 0*v - s*v**4 = 0.
-2/7, 0, 1
Let w(q) be the first derivative of -q**6/63 + 8*q**5/105 - q**4/7 + 8*q**3/63 - q**2/21 + 109. Solve w(t) = 0 for t.
0, 1
Let j be ((-222)/(-8))/((-15)/(-40)). Let i = j - 74. Solve 2/5*k**4 + 0 + i*k - 2/5*k**5 + 0*k**2 + 0*k**3 = 0 for k.
0, 1
Let q be (-48 + 41)/(21/(-6)). Let m be (-3)/12*(0 + -2). Factor -1/2*v**q + 1/2*v + 0 - 1/2*v**3 + m*v**4.
v*(v - 1)**2*(v + 1)/2
Solve -2/17 + 122/17*g**4 + 60/17*g**5 - 120/17*g**2 - 64/17*g + 4/17*g**3 = 0 for g.
-1, -1/30, 1
Let k(x) = 61*x - 729. Let o be k(12). Let g(t) be the first derivative of -1/4*t**2 - 1/6*t + 1/36*t**6 - 1/9*t**o + 1/12*t**4 + 1/10*t**5 - 2. Factor g(r).
(r - 1)*(r + 1)**4/6
Let p(w) = -w**2 + 5*w + 6. Suppose -4*x = 8, -2*o - 3*x + 4 = -0*x. Let j be p(o). Factor -j*b**3 - 3*b + 2*b**5 + 6*b + b + 2*b**4 - 2*b**2.
2*b*(b - 1)**2*(b + 1)*(b + 2)
Suppose -4/5*h**2 + 16/5 + 4/5*h**3 - 16/5*h = 0. What is h?
-2, 1, 2
Let j = -589 - -593. Let x be (2/4)/(2/12). Let b(l) = 5*l**2 - 5*l - 3. Let s(z) = -6*z**2 + 4*z + 4. Let k(y) = j*b(y) + x*s(y). Factor k(m).
2*m*(m - 4)
Let u(a) be the third derivative of -8*a**2 + 5/12*a**4 + 0 + 1/24*a**5 + 5/4*a**3 + 0*a. Factor u(h).
5*(h + 1)*(h + 3)/2
Let y(h) be the first derivative of -6*h**5/5 - 9*h**4/4 - 10. Solve y(z) = 0 for z.
-3/2, 0
Let j(w) = 37*w - 481. Let o be j(13). Let t(k) be the third derivative of 0 + 4*k**2 + o*k**3 + 1/30*k**5 - 1/60*k**6 + 0*k + 0*k**4. Solve t(b) = 0 for b.
0, 1
Let p(o) be the third derivative of -o**7/90 + o**6/180 + 7*o**5/60 - 5*o**4/18 + 2*o**3/9 + 8*o**2. Determine w, given that p(w) = 0.
-2, 2/7, 1
Let u(m) = m**3 + m - 1. Let b(r) = 0*r**4 + r**4 + 5*r**2 - 15*r + 0*r**4 - 25*r**3 + 15 + 4*r**4. Let l(t) = b(t) + 15*u(t). Suppose l(p) = 0. What is p?
0, 1
Let t(v) = -v**3 + 24*v**2 - 23*v + 18. Let o be t(23). Factor 8*f - 3*f**4 + 10*f + 1 + 3*f**5 - 3*f - 6*f**2 - o*f**3 + 8.
3*(f - 3)*(f - 1)*(f + 1)**3
Let v(r) be the third derivative of -1/150*r**5 + 0*r**3 + 3/175*r**7 + 0*r - 12*r**2 + 0 - 3/560*r**8 + 1/120*r**4 - 1/75*r**6. Suppose v(a) = 0. Calculate a.
-1/3, 0, 1/3, 1
Let u(l) be the first derivative of 0*l**3 + 3/14*l**2 + 0*l**5 + 0*l + 1/14*l**6 - 3/14*l**4 - 24. Find s, given that u(s) = 0.
-1, 0, 1
Let j be (145/(-20))/(1/(-4)). Let c = -25 + j. Factor 18*x**2 + x**3 - 6*x**3 + 4*x**3 + 27*x + c*x**3.
3*x*(x + 3)**2
Suppose -3/5*s**4 + 1/5*s**5 - 1/5*s**2 + 0 + 0*s + 3/5*s**3 = 0. Calculate s.
0, 1
Let r(b) be the third derivative of -b**5/480 + 23*b**4/24 - 529*b**3/3 - 194*b**2. Determine i so that r(i) = 0.
92
Suppose 26 = x - 5*c, -2*x + 91 = x - 2*c. Solve -x*v**2 - 8*v - 10*v**4 - 14*v**3 - 8*v**3 - 12*v**3 - v**2 = 0 for v.
-2, -1, -2/5, 0
Let l(p) = -5*p**2 + 250*p + 3. Let w be l(50). Factor 4*b**4 + 384/7*b**2 + 64/7 + 176/7*b**w + 320/7*b.
4*(b + 2)**3*(7*b + 2)/7
Suppose -24 = p - 3*p - 4*q, 5*q = 5*p - 30. Suppose 0*a = -p*a - 10*a. Solve a - 6/7*h**2 + 2/7*h = 0 for h.
0, 1/3
Let u(b) be the third derivative of b**5/240 + 73*b**4/96 + 3*b**3 - 313*b**2. Find v such that u(v) = 0.
-72, -1
Let a = 687 + -682. Let f(r) be the third derivative of -1/1155*r**7 - 13/330*r**a - 1/11*r**4 + 0*r + 11*r**2 - 1/110*r**6 - 4/33*r**3 + 0. Factor f(n).
-2*(n + 1)**2*(n + 2)**2/11
Let r = 1081 - 9725/9. Factor 2/9*x**2 - r*x - 2/3.
2*(x - 3)*(x + 1)/9
Let q = 1131/7 + -161. Suppose 3*z + 5*a - 18 = 2, 8 = 2*z + 2*a. What is l in -2/7*l**3 + z - q*l**2 - 2/7*l = 0?
-1, 0
Let m = -189/199 + 1721/1393. Solve 0 - 2*v + m*v**2 = 0 for v.
0, 7
Suppose -5*g = -13*g. Suppose -m + 17 = 3*m + z, -2*m = -4*z + 14. Let 0*f**2 - 1/4*f**m + 1/4*f**5 + 0*f**4 + 0*f + g = 0. Calculate f.
-1, 0, 1
Let r = 107 - 103. Suppose -4*g + 32 = 4*w, 4 = -r*w + 5*w. Determine b, given that 1/6*b**g + 0 - 1/6*b**2 + 0*b - 1/6*b**3 + 1/6*b**5 = 0.
-1, 0, 1
Let y(v) = -v**5 - v**4 + v + 1. Let i(s) = -5*s**5 - 4*s - 2*s**3 - 4*s**4 - 8*s**2 + 4*s - s + 0*s**2 + 4. Let a(b) = i(b) - 6*y(b). Factor a(q).
(q - 2)*(q + 1)**4
Let j(p) = -p**4 + p**3 + p**2 + 2*p - 1. Let c(n) = -n**4 + 3*n**3 - n**2 - n - 4. Let o(q) = c(q) - 2*j(q). Factor o(t).
(t - 2)*(t + 1)**3
Suppose -5*v - 3*g = 2*g + 15, -g - 13 = -4*v. Suppose 0 = l + m, 3*l - v*m = 11 + 9. Suppose -3 - 4*f**2 + 3*f**2 + l*f**2 = 0. Calculate f.
-1, 1
Let t be 3/(12/(-32)*-2). Let k be (((-70)/25)/7)/(2 - t). Factor 0*h**3 + 2/5*h**2 - 1/5 - k*h**4 + 0*h.
-(h - 1)**2*(h + 1)**2/5
Suppose -11 = 2*b - 5*b - g, 2*b = -4*g + 14. Determine c, given that 6 - 145*c**3 + 72*c**3 - 14*c + 71*c**b + 10*c**2 = 0.
1, 3
Suppose 3*c = 5*j - 0 + 3, 0 = 4*c - 2*j - 4. Let n be 112/32 + -3*c. Factor 2 + 0*d - 3/2*d**2 - n*d**3.
-(d - 1)*(d + 2)**2/2
Factor -2*m + 2/3*m**3 + 1/3*m**4 - 5/3*m**2 + 0.
m*(m - 2)*(m + 1)*(m + 3)/3
Let n(a) = 4*a - 2. Let s be n(2). Let v be (0 - (s - 3)) + 6. Find h such that 5*h**2 - 2*h**4 - 2*h**5 - 3*h**2 + 0*h**4 + 2*h**v + 0*h**2 = 0.
-1, 0, 1
Suppose 0 = 4*t + 4, 0 = -4*n + 5*t + 17 + 24. Let d(m) be the first derivative of 6*m**3 + 3/2*m**4 + n*m**2 + 0*m + 2/15*m**5 + 9. Factor d(k).
2*k*(k + 3)**3/3
Let o = 1 + -37. Let b = 40 + o. Find i such that 0 + 0*i - 3/5*i**5 + 3/5*i**3 + 3/5*i**b - 3/5*i**2 = 0.
-1, 0, 1
Let w = -945/2 - -4731/10. Determine c, given that 0*c**2 + 0 + 0*c - w*c**4 + 3/5*c**3 = 0.
0, 1
Let f(i) be the third derivative of -i**5/30 + 23*i**4/12 + 8*i**3 + 15*i**2 - 3*i. Suppose f(m) = 0. Calculate m.
-1, 24
Let r(w) be the first derivative of w**3/6 - 301*w**2/8 + 75*w/2 - 161. What is f in r(f) = 0?
1/2, 150
Let i(h) be the second derivative of h**7/21 - 4*h**6/15 + h**5/2 - h**4/3 + 4*h - 2. Factor i(w).
2*w**2*(w - 2)*(w - 1)**2
Let v(w) be the second derivative of -2*w**4 + 0 - 8/15*w**6 + 18*w - 9/5*w**5 + 0*w**2 - 2/3*w**3. Factor v(a).
-4*a*(a + 1)**2*(4*a + 1)
Let h(s) be the second derivative of -47*s**5/5 - 79*s**4 - 584*s**3/3 - 24*s**2 - 19*s - 3. Find f such that h(f) = 0.
-3, -2, -2/47
Let z(g) = -g**3 + 4*g**2 + 6*g + 1. 