 of -r**4/28 - 58*r**3/7 - 5046*r**2/7 - 577*r. Factor o(l).
-3*(l + 58)**2/7
Suppose -4*q + 7 + 9 = 0. Suppose -43 - 7*u**2 + 18*u + 16 + q*u**2 = 0. Calculate u.
3
Let i(r) be the third derivative of 2*r**3 + 37*r**2 + 0*r - 2/3*r**4 + 0 + 1/15*r**5. Let i(j) = 0. What is j?
1, 3
Let a be (-9 + (-6)/6)*-2. Let f be (-58)/16 + (-15)/((-75)/a). Find i such that 1/8*i**2 + 1/4 - f*i = 0.
1, 2
Suppose 133*j = 117*j - 145*j + 322. Suppose 44/5*u - 24/5 - 16/5*u**j - 4/5*u**3 = 0. Calculate u.
-6, 1
Let b be (4/(-35))/(5/4 - (-493)/(-340)). Find w, given that 2/7*w**3 - b*w - 2/7*w**2 + 0 = 0.
-1, 0, 2
Solve -23738 + 2*z**2 - 3*z**2 - 113*z - 913*z - 2*z**2 - 63985 = 0 for z.
-171
Let d(b) be the second derivative of 1/3*b**4 - 1/3*b**3 + 0*b**2 - 1/10*b**5 + 4*b + 0. Suppose d(x) = 0. What is x?
0, 1
Solve 66*r**3 + 0 + 0*r - 363/4*r**4 - 12*r**2 = 0 for r.
0, 4/11
Let b(y) = y**3 + 7*y**2 - 9*y - 13. Let q be b(-6). Suppose 0*u + 5*u = -x + 72, 0 = 2*x - 4*u - 158. What is t in 3*t**4 + 3*t - q + x - 3*t**3 - 3*t**2 = 0?
-1, 0, 1
Let u(h) = -16*h**2 - 5*h + 44. Let m(i) = -9*i**2 - 3*i + 21. Let l(z) = 5*m(z) - 3*u(z). Factor l(d).
3*(d - 3)*(d + 3)
Let 4/3*h**3 - 4/3*h - 4/3*h**2 + 4/3 = 0. What is h?
-1, 1
Let b(c) = -7*c + 7*c - 153 - 4*c + 31. Let i be b(-31). Suppose 27/7 + 3*z**i - 45/7*z - 3/7*z**3 = 0. Calculate z.
1, 3
Let m(q) be the second derivative of 3*q**5/35 + 25*q**4/42 + 4*q**3/3 + 4*q**2/7 + q - 116. Solve m(l) = 0 for l.
-2, -1/6
Let o = -274 - -272. Let c = -8/5 - o. Factor -8/5 - 2/5*x + 8/5*x**2 + c*x**3.
2*(x - 1)*(x + 1)*(x + 4)/5
Let k be 4/22 - 1526/9240. Let z(i) be the third derivative of -1/150*i**5 + 0*i + 0 + 0*i**3 + 1/525*i**7 + 1/300*i**6 - k*i**4 + 6*i**2. Solve z(d) = 0.
-1, 0, 1
Let y be (-6)/(-4) + (-42)/(-4). Let t(w) = -w**3 + 13*w**2 - 13*w + 16. Let k be t(y). Factor 4*g**4 + 0*g + g**3 - 4*g**3 - 3*g**2 - g**k + 3*g.
3*g*(g - 1)**2*(g + 1)
Let z(c) be the first derivative of 16*c**5/15 - c**4 - 4*c**3/9 - 102. What is b in z(b) = 0?
-1/4, 0, 1
Let d = 2887 + -2883. Let l(s) be the second derivative of d*s**2 + 4*s + 3*s**4 + 22/3*s**3 + 0. Let l(r) = 0. Calculate r.
-1, -2/9
Suppose 13 = 2*z + 29. Let t be (-5 - -7)*2*(-6)/z. Factor 0 - 3/5*r**t - 2/5*r + r**2.
-r*(r - 1)*(3*r - 2)/5
Let a(y) be the first derivative of 8 + 0*y + 1/2*y**3 + 1/8*y**4 + 1/2*y**2. Determine v, given that a(v) = 0.
-2, -1, 0
Suppose 0 = -3*z - 5*t + 32, 0 = -4*z - 5*t - 40 + 76. Suppose -9/2*p + z*p**3 + p**2 - 3*p**4 + 2 + 1/2*p**5 = 0. What is p?
-1, 1, 4
Factor 8/3 - 10*l + 22/3*l**2.
2*(l - 1)*(11*l - 4)/3
Let v be (-4)/(-20) - (-58)/(-140). Let n = v + 13/28. Let 0 + 1/4*f**5 + 1/4*f**2 - 1/4*f**3 + 0*f - n*f**4 = 0. What is f?
-1, 0, 1
Let v(u) be the third derivative of 0*u + 0 - 5*u**4 - 16/525*u**7 - 2/3*u**6 - 23*u**2 - 673/150*u**5 - 12/5*u**3. Solve v(r) = 0.
-6, -1/4
Let a(o) be the third derivative of 1/210*o**5 + 0 - 2/21*o**4 - 2*o**2 + 0*o + 16/21*o**3. Suppose a(p) = 0. What is p?
4
Let d(f) be the first derivative of -f**4/10 - 134*f**3/15 - 203*f**2 + 1470*f + 163. Factor d(h).
-2*(h - 3)*(h + 35)**2/5
Let o(y) = -y**2 - 14*y - 10. Let x be o(-13). Factor -11*t**3 + t**3 + 8*t**x - 4*t**2.
-2*t**2*(t + 2)
Let b be (-4)/(2 + (-150)/45). Factor -3/8*u**5 - 27/8*u**b - 15/8*u**4 + 0 - 3/4*u - 21/8*u**2.
-3*u*(u + 1)**3*(u + 2)/8
Let f be 20/(-4) + 1*3. Let n be 8/(-4) + f + 5. Solve 10*m + m**2 + 0*m**2 + n - 8*m = 0 for m.
-1
Let r = 46/169 + 3242/507. Let -16/3*d**2 - 8/3 - r*d - 4/3*d**3 = 0. What is d?
-2, -1
Let y = 322 - 321. Let a be 140/120 + y/6. Factor -a + 4/3*c + 4/3*c**2 - 4/3*c**3.
-4*(c - 1)**2*(c + 1)/3
Suppose -v - 15 = 5*f + 2*v, -5 = -4*f + v. Let i(q) = -40*q - 998. Let h be i(-25). Factor 0 + 1/5*s**h + f*s.
s**2/5
Let 11*t - 121 - 1/4*t**2 = 0. What is t?
22
Let m = -9/40 - -5/8. Let x = 104343 + -104343. Factor 0*o + x + m*o**2.
2*o**2/5
Let p(l) = l**3 - 2*l**2 - l + 1. Let r(s) = 14*s**3 - 43*s**2 + 75*s - 131. Let x(j) = -52*p(j) + 4*r(j). Factor x(o).
4*(o - 9)*(o - 4)**2
Suppose 4*g = -10*r + 12*r, 0 = 3*g + 2*r - 14. Find u, given that -6*u**5 + 0 + 3*u + 33/2*u**3 - 27/2*u**g + 0*u**4 = 0.
-2, 0, 1/2, 1
Let s be (10/(-14) - -1)*(-7)/(-210). Let i(z) be the second derivative of 0*z**2 - 1/21*z**3 - 3/70*z**5 + 0 - z + 1/14*z**4 + s*z**6. Factor i(j).
2*j*(j - 1)**3/7
Let k = -404 + 642. Factor -3 + 3*a**2 - 4*a**3 + 242*a + 15 - k*a - 15*a**2.
-4*(a - 1)*(a + 1)*(a + 3)
Let q = -51 - -343. Suppose -6*b = -4*b - q. Solve -b + 146 - 4*p**3 = 0 for p.
0
Let g(c) = -5*c**5 + 70*c**4 - 356*c**3 + 802*c**2 - 638*c. Let z(b) = 2*b**3 + b**2 + b. Let m(t) = g(t) - 2*z(t). Factor m(a).
-5*a*(a - 4)**3*(a - 2)
Let h(z) be the first derivative of -10*z**3 + 1 + 5/2*z**6 + 4*z**5 - 10*z**4 + 25/2*z**2 + 10*z. What is g in h(g) = 0?
-2, -1, -1/3, 1
Determine k, given that 2*k**4 + 14*k**2 - 664*k + 664*k - 16*k**3 = 0.
0, 1, 7
Factor -64/17*b**3 + 112/17*b**2 + 18/17*b**4 + 32/17 - 96/17*b - 2/17*b**5.
-2*(b - 2)**4*(b - 1)/17
Determine g, given that -178/5*g - 26/5*g**2 + 28/5 = 0.
-7, 2/13
Let m(x) = -x**2 - x + 1. Let t(c) = -c**2. Let y(a) = -a + 7. Let n be y(9). Let w(s) = n*t(s) - 2*m(s). Factor w(b).
2*(b + 1)*(2*b - 1)
Let f(c) be the second derivative of c**5/35 - 5*c**4/7 + 32*c**3/7 - 88*c**2/7 + 56*c. Factor f(i).
4*(i - 11)*(i - 2)**2/7
Let g(q) be the second derivative of -q**7/630 + q**5/90 + 3*q**3/2 + 7*q. Let b(k) be the second derivative of g(k). Factor b(p).
-4*p*(p - 1)*(p + 1)/3
Let d(j) be the first derivative of -5*j**3/3 - 145*j**2/2 + 141. Let d(z) = 0. What is z?
-29, 0
Let y(x) = -20*x**2 - 20*x - 10. Let d(v) = -v**2 + v. Let p = 67 - 62. Let t(k) = p*d(k) - y(k). Find w such that t(w) = 0.
-1, -2/3
Factor -44/7*x + 0 + 4/7*x**2.
4*x*(x - 11)/7
Suppose -5*u = 42 - 132. Let v be (-48)/u*(-3)/2. Factor 10*c - v*c - 6*c + 3*c**3.
3*c**3
Let p be (-6)/16*(-5 - -4). Let u(k) be the first derivative of 1/2*k**3 - 1/4*k**6 + p*k**4 - 3/10*k**5 + 4 + 0*k + 0*k**2. Let u(d) = 0. Calculate d.
-1, 0, 1
Let d(m) be the first derivative of -3*m**5/5 - m**4/4 + 17*m**3/3 - 19*m**2/2 + 6*m + 30. Suppose d(l) = 0. Calculate l.
-3, 2/3, 1
Suppose 2*v = 51 - 41. Let x(h) be the second derivative of -2/3*h**3 + 0 + 0*h**2 - 2/5*h**v + 5/6*h**4 + 4*h + 1/15*h**6. Suppose x(g) = 0. What is g?
0, 1, 2
Let i(a) = -a + 15. Let r be i(11). Factor -2*n**2 + 3*n**2 - r*n**3 - 9*n**2.
-4*n**2*(n + 2)
Let v(u) be the first derivative of -16 + 0*u**2 - 1/5*u + 1/15*u**3. Let v(t) = 0. What is t?
-1, 1
Let t(z) = 2*z**2 + 39*z - 15. Suppose -4*k + 64 = -3*p, -1 = p + 2*k + 17. Let h be t(p). Factor -4/3*v**2 + 2/3*v**4 + 2/3 - 4/3*v**3 + 2/3*v**h + 2/3*v.
2*(v - 1)**2*(v + 1)**3/3
Suppose 13*f = 71 - 19. Let t(q) be the third derivative of 0*q + 1/15*q**6 + q**2 + 0 - 1/105*q**7 - 1/3*q**3 - 1/5*q**5 + 1/3*q**f. Factor t(r).
-2*(r - 1)**4
Let j be 570/8208*6/50. Let i(f) be the second derivative of 1/24*f**4 - 1/24*f**3 + 1/40*f**5 + 11*f - 1/168*f**7 - 1/8*f**2 - j*f**6 + 0. Factor i(z).
-(z - 1)**2*(z + 1)**3/4
Factor j**4 - 7*j**3 + j**3 - 10*j**3 + 46*j**2 + 25 - 30*j - 30*j + 4*j**3.
(j - 5)**2*(j - 1)**2
Let z(j) be the first derivative of 18 + 0*j - 1/15*j**3 - 2/5*j**2. Let z(b) = 0. What is b?
-4, 0
Let p be ((-17)/(-14501))/((2/4)/(-1)). Let j = p - -1724/7677. Factor 0 - 2/9*m + 0*m**2 + j*m**3.
2*m*(m - 1)*(m + 1)/9
Factor 8*d**2 - 28 - 3*d**2 + 55*d + 118.
5*(d + 2)*(d + 9)
Let h(d) be the third derivative of -d**9/100800 - d**8/16800 + d**7/2800 - 2*d**5/5 + 11*d**2. Let k(l) be the third derivative of h(l). What is g in k(g) = 0?
-3, 0, 1
Factor 459*l**2 + 213*l**2 + 5*l**4 - 2*l**4 + 588*l + 87*l**3.
3*l*(l + 1)*(l + 14)**2
Let g = 124 - 130. Let i be -2*78/120*g. Factor 12/5 + 9/5*t**2 - i*t.
3*(t - 4)*(3*t - 1)/5
Let a = 14 + -17. Let g(n) = -n**3 - 3*n**2 - 2*n - 2. Let x be g(a). Factor -x*p**4 + 129*p**2 - 125*p**2 + 0*p**5 + 4*p**3 - 4*p**5.
-4*p**2*(p - 1)*(p + 1)**2
Let j(v) = -6*v**2 - 2. Let u(y) be the first derivative of y**3/3 - y**2/2 + 6. Let g(a) = -j(a) - 4*u(a). Determine z, given that g(z) = 0.
-1
Let i = -22 + 26. Determine w so that w**2 - 4 - 5*w**2 + w**4 - 4*w**3 + 7*w**2 + 0*w**i + 4*w = 0.
-1, 1, 2
Solve -26 + 34 - 8 + 5*w**2 + 5*w = 0.
-1, 0
Let