 - 5*o**3 - 5/2*o**5 - 5*o**2 + 15/2*o + 15/2*o**f.
-5*(o - 1)**4*(o + 1)/2
Let g be 4 + 11 + (-6 - -3). Find z such that -10 + 0*z - 12*z**4 + 16*z**5 + 26*z**2 - 52*z**3 + 42*z**2 - g*z + 2 = 0.
-2, -1/4, 1
Let b = 157515/7 + -22501. Factor b*k - 8/7 - 2/7*k**2.
-2*(k - 2)**2/7
Factor 61*s**3 + 227181*s - 2*s**3 + 118810 + 190834*s - 24*s**3 + 7640*s**2.
5*(s + 109)**2*(7*s + 2)
Let p = 130 - 124. Suppose 6 - 2 = 2*d. Factor -5*o**2 + 2*o**d - 3 + 9*o - p*o**2 + 3*o**3.
3*(o - 1)**3
Let o(b) = -b**2 - 6*b - 4. Let y be o(-2). Suppose 2*x + 4 = y*s + 2, -30 = -5*s - 3*x. Factor 3*z + z**s + 0*z - 4*z.
z*(z - 1)*(z + 1)
Suppose 3*r - z - 11 = 0, -2*r + 5 + 5 = -2*z. Factor -6*l + 0*l + r*l - 3 - 3*l - 3*l**2.
-3*(l + 1)**2
Let q = -25 - -27. Factor -3*f + 2*f - q*f**2 + 0*f - f.
-2*f*(f + 1)
Suppose 10 = 5*c - 20. Factor -2 - 5*d - 4 - 4*d + 3*d**2 + c*d.
3*(d - 2)*(d + 1)
Let s(d) be the second derivative of d**5/190 - 5*d**4/19 + d**3 - 28*d**2/19 - d - 132. Let s(a) = 0. What is a?
1, 28
Suppose -2*o - 2*l - 6 = 0, -12 = o - 5*o + 4*l. Let g be 1/11 + 1444/2508. Factor -2/3*u**2 + o - g*u.
-2*u*(u + 1)/3
Let c be -10*((-12)/2)/12. Let a(u) be the first derivative of -1/5*u**2 - 1/15*u**6 + 0*u - c + 8/15*u**3 - 3/5*u**4 + 8/25*u**5. Factor a(p).
-2*p*(p - 1)**4/5
Let c(o) = -7*o**2 + 5*o - 4. Let t be c(2). Let i = t + 27. Let i*p**4 + 2*p**3 - 11*p**3 - 2*p - 9*p**2 + 16*p**2 - p**5 = 0. Calculate p.
0, 1, 2
Let i = 1622/6045 + -2/1209. Factor i*s + 0 + 2/15*s**2.
2*s*(s + 2)/15
Suppose 14*c + 19 = 15*c + 3*v, 16 = -c + 4*v. Let k be 8/(-36) - (-2)/9. Determine p, given that 1/2*p - 1/2*p**3 - 1/2*p**c + k + 1/2*p**2 = 0.
-1, 0, 1
Let z(b) be the second derivative of b**6/120 - 3*b**5/20 + 5*b**4/12 - 5*b - 10. Find y, given that z(y) = 0.
0, 2, 10
Let l(c) = -6*c**2 - c. Let k be l(1). Let d(i) = 2*i + 17. Let m be d(k). What is h in -h**5 - 6*h**3 - 4*h**4 - 5*h**4 + 0*h**m - 2*h**5 = 0?
-2, -1, 0
Let x(c) = c**2 + 14*c + 14. Let g be x(-13). Let a be 1*(-1)/g*-2. Factor -m**a - 2*m**2 + m**2 + 3*m**2.
m**2
Let b = -22/175 - -72/175. Factor -2/7*w**5 + 4/7*w**2 + b*w + 0 + 0*w**3 - 4/7*w**4.
-2*w*(w - 1)*(w + 1)**3/7
Let m(b) be the third derivative of -b**8/336 - b**7/210 + 7*b**6/60 + b**5/10 - 15*b**4/8 + 9*b**3/2 + 2*b**2 - 77*b. Find s such that m(s) = 0.
-3, 1, 3
Let r = -7484/21 - -1070/3. Factor -r*p**3 - 6/7*p**2 - 2/7 - 6/7*p.
-2*(p + 1)**3/7
Let o = 22/17 - -2/51. Let 4*w**2 + 8/3*w + 0 + o*w**3 = 0. What is w?
-2, -1, 0
Let f(z) be the second derivative of z**6/6 - 3*z**5/4 - 5*z**4/12 + 5*z**3/2 - 5*z - 5. Suppose f(l) = 0. Calculate l.
-1, 0, 1, 3
Factor -u**2 - 2*u - 28 + 2*u**2 + 36 - 2*u**2.
-(u - 2)*(u + 4)
Let f(s) be the first derivative of -18*s**5/25 - 69*s**4/10 + 4*s**3 + 48*s**2/5 - 182. Suppose f(i) = 0. What is i?
-8, -2/3, 0, 1
Suppose 0*o + 14 = -2*o + 4*w, 2*o + 8 = 2*w. Let g(l) = l**4 - l. Let d(k) = -4*k**4 - 9*k**3 + k. Let v(a) = o*d(a) - g(a). Factor v(c).
3*c**3*(c + 3)
Let j(s) be the third derivative of -s**7/3780 + s**6/324 - 2*s**5/135 + s**4/27 - 13*s**3/6 + 15*s**2. Let y(d) be the first derivative of j(d). Factor y(h).
-2*(h - 2)**2*(h - 1)/9
Let u = 307/21 + -43/3. Suppose -29*x - 5 + 7 = 2. Suppose 2/7*q**4 + 0*q + x*q**2 - u*q**3 + 0 = 0. Calculate q.
0, 1
Suppose 5*f + 15 = 5*t, f + 3 = 7550*t - 7546*t. Factor 3/2*y**2 + t + 21/2*y.
3*y*(y + 7)/2
Let -2683*d + 25*d**2 - 15*d**3 + 415*d**2 + 10*d**3 - 6997*d = 0. What is d?
0, 44
Let g(k) be the third derivative of -7*k**6/240 - 19*k**5/120 + k**4/8 - 2*k**2 + 167. Factor g(w).
-w*(w + 3)*(7*w - 2)/2
Let p(t) = 11*t - 26. Let i be p(-11). Let y = 295/2 + i. Let -1 - y*z + 1/2*z**2 = 0. What is z?
-1, 2
Let x(c) be the first derivative of c - 7/6*c**2 - 6 + 5/9*c**3 - 1/12*c**4. Find n such that x(n) = 0.
1, 3
Let t be (-5)/(-1) + -1 - 9. Let m be (2/(-2))/(t/40). Solve 4*s**3 - 6*s**2 - 10*s**2 + m*s + 0*s**2 + 4*s**2 = 0 for s.
0, 1, 2
Let t(j) be the first derivative of j**3/9 + 3*j**2/2 - 10*j/3 + 199. Factor t(p).
(p - 1)*(p + 10)/3
Let b = 415/73 + -2129/657. What is l in -4/9*l**5 + 8/9 - 8/9*l - b*l**2 + 10/9*l**4 + 8/9*l**3 = 0?
-1, 1/2, 2
Let z(j) be the first derivative of j**7/2940 + j**6/1260 - j**5/420 - j**4/84 + 20*j**3/3 - 12. Let u(v) be the third derivative of z(v). Factor u(m).
2*(m - 1)*(m + 1)**2/7
Factor -128/13*a + 4/13*a**2 + 2/13*a**3 + 320/13.
2*(a - 4)**2*(a + 10)/13
Let c = -12 - -14. Find q such that 8 + 4*q**c - 12*q - 35 + 11 = 0.
-1, 4
Let a be (-7)/((-21)/(-6))*(-18)/12. Let u(p) be the first derivative of 1/9*p**a - p**2 + 3*p + 3. Factor u(g).
(g - 3)**2/3
Let p be (2 - 0)*(-2 + 28/8). Suppose -2*n + 11 = -2*q + p*n, -3*q + 21 = 5*n. Suppose -2/11 + 6/11*v**3 + 10/11*v**q + 2/11*v = 0. Calculate v.
-1, 1/3
Suppose 6 = 5*b - 2*j, -4*j + j - 9 = 0. Let 2*o + b*o**2 + 2*o**2 + 0*o**2 = 0. Calculate o.
-1, 0
Let n(y) be the first derivative of -4/3*y**3 - 29/5*y**5 + 0*y**2 + 23 - 3/2*y**6 + 0*y - 6*y**4. Find h such that n(h) = 0.
-2, -1, -2/9, 0
Let p(u) = 4*u**3 - 272*u**2 + 32*u + 272. Let k(z) = -2*z**3 + 109*z**2 - 13*z - 109. Let r(y) = 12*k(y) + 5*p(y). Factor r(w).
-4*(w - 1)*(w + 1)*(w + 13)
Suppose 0 = 6*q + 84 + 6. Let t be (-51)/(-15) - (54/q - -4). Factor -1/2*v**2 + 0*v - v**t + 0 - 1/2*v**4.
-v**2*(v + 1)**2/2
Let k(j) be the first derivative of -j**2 + 0*j + 3/4*j**4 - 4/15*j**5 + 1/9*j**3 + 4. Find s, given that k(s) = 0.
-3/4, 0, 1, 2
Let m(q) = -9*q**3 + 50*q**2 - 57*q + 10. Let w(t) = t**2. Let p(u) = -5*m(u) - 30*w(u). Determine d, given that p(d) = 0.
2/9, 1, 5
Suppose -24/5*v**2 + 0*v + 22/15*v**4 - 2/15*v**5 + 0 - 16/5*v**3 = 0. What is v?
-1, 0, 6
Suppose 2*n = -3*n - 3*m + 13, 0 = -5*n + 5*m + 45. Suppose -f + 17 = n. Factor -4 - f + 9 - 9 - 16*t + 12*t**2.
4*(t - 2)*(3*t + 2)
Let a = -31 - -137. Factor 59*f**3 - 239*f**3 - 16*f - a*f**2 - 6*f**2.
-4*f*(5*f + 2)*(9*f + 2)
Suppose 5*z + 12 = 6*z - l, -l = 2*z - 21. Suppose 0 = -5*f + z*f + 6*f. Determine c so that 0*c + 1/2*c**3 + f - 1/6*c**4 - 1/3*c**2 = 0.
0, 1, 2
Factor -20386*o + 16820 + 63*o**3 - 575*o**2 - 68*o**3 + 4146*o.
-5*(o - 1)*(o + 58)**2
Suppose 16*l = 21*l + 75. Let v = l + 17. Factor -11*b**v + 4*b + 13*b**2 - 2*b.
2*b*(b + 1)
Suppose -3*d**2 + d**2 + 3*d**2 - 51*d + 4*d**2 - 79*d - 775 = 0. What is d?
-5, 31
Suppose 4*d + 0*d = 0. Let q be (4 - 1) + d + 1. Factor -q*z**3 + 0*z**3 + 3*z**3 + z**2.
-z**2*(z - 1)
Let b = 21 - 13. Factor -g**2 + b + g - 8.
-g*(g - 1)
Let c(j) be the third derivative of j**5/270 - j**4/18 + 6*j**2 + 1. Factor c(k).
2*k*(k - 6)/9
Let a(k) be the first derivative of 0*k - 9 - 2/3*k**3 - 2*k**2. Let a(t) = 0. What is t?
-2, 0
Let n(a) be the first derivative of -4*a**5/5 + 2*a**4 + 112*a**3/3 + 92*a**2 + 84*a + 87. Find k such that n(k) = 0.
-3, -1, 7
Let s(x) be the first derivative of -1/30*x**5 + 1/18*x**3 + 45 + 0*x**2 - 1/8*x**4 + 1/12*x**6 + 0*x. Let s(r) = 0. What is r?
-1, 0, 1/3, 1
Let x be (-2)/(-12) - (-276)/72. Suppose -x*j = -2*m, 3*m = 5*m - 3*j. Factor 0 + 10/7*l**3 + 2/7*l**5 + m*l + 8/7*l**4 + 4/7*l**2.
2*l**2*(l + 1)**2*(l + 2)/7
Let q(s) be the third derivative of -s**6/30 + 7*s**5/5 - 49*s**4/2 + 686*s**3/3 + 535*s**2. Factor q(d).
-4*(d - 7)**3
Solve 34/3*r - 16/3*r**2 + 2/3*r**3 - 20/3 = 0 for r.
1, 2, 5
Factor -8*h - 6*h**2 + 10 + 13*h**2 - 5*h**2 - 4*h**2.
-2*(h - 1)*(h + 5)
Let h(r) be the third derivative of 0*r + 0 - 1/30*r**5 + 7*r**2 - 1/8*r**4 + 1/72*r**6 + 1/9*r**3. Factor h(y).
(y - 2)*(y + 1)*(5*y - 1)/3
Suppose -2*d = -4*h + d + 369, -2*d + 95 = h. Suppose 10*g - 12 = 4*g. Factor -2*r**3 - h*r**g + 101*r**2 + 12*r - 2*r**3.
-4*r*(r - 3)*(r + 1)
Let x = 74 + -72. Let j(k) be the third derivative of -1/7*k**3 - 1/20*k**5 - 9/56*k**4 + 0*k - 6*k**x + 0. Factor j(i).
-3*(i + 1)*(7*i + 2)/7
Factor -6*p + 3*p**3 + 18*p + 8*p**3 - 9*p**3 + 10*p**2.
2*p*(p + 2)*(p + 3)
Let v(f) be the second derivative of -14*f + 0 - 13/2*f**3 + 9/2*f**2 + f**4. Factor v(x).
3*(x - 3)*(4*x - 1)
Let l be 27/15 - 3 - 90/(-50). Suppose -1/5*g**3 - 1/5 - 3/5*g - l*g**2 = 0. Calculate g.
-1
Let x(f) be the third derivative of -1/30*f**4 + 0*f**3 - 1/525*f**7 + 0*f + 1/150*f**5 + 12*f**2 + 1/150*f**6 + 0. Factor x(s).
-2*s*(s - 2)*(s - 1)*(s + 1)/5
Let r(y) be the third derivative of