 be (-595)/(-14)*4/(-2). Let h be k/(-40) + -2 + (-245)/(-56). Factor -3/8*y**2 - 27/2 - h*y.
-3*(y + 6)**2/8
Solve 23*y**3 + 5586 - 63*y**3 + 156*y**2 - 1743*y + 33*y**3 + 4*y**3 = 0 for y.
7, 38
Let m = 1/34766 - -104293/173830. Factor m*i**2 + 1/5*i + 1/5*i**4 + 0 + 3/5*i**3.
i*(i + 1)**3/5
Let g(m) be the first derivative of -2*m**2 + 65 - 1/15*m**3 + 0*m. Factor g(j).
-j*(j + 20)/5
Let l be 95/(285/(-12)) + ((-20)/(-7) - -2). Factor -b + l + 1/7*b**2.
(b - 6)*(b - 1)/7
Let b be 15/10*(-64)/(-12). Find i, given that -2*i**5 - 19*i**2 - b*i**3 + 17*i - i - 10*i**4 + 21*i**2 - 6*i**3 + 8 = 0.
-2, -1, 1
Suppose 5*x - 2*x = 468. Suppose -345*j**3 - 207*j**2 - x*j**2 - 432*j**2 - 55*j**4 + 45*j**2 - 120 - 620*j = 0. What is j?
-2, -3/11
Suppose -4*m + 17 = -9*t, t = 4*m - 44 + 35. Factor -3/7*x**m + 0 + 6/7*x - 6/7*x**3 + 3/7*x**4.
3*x*(x - 2)*(x - 1)*(x + 1)/7
Factor 4*i**3 + 11*i**3 + 324*i**2 - 24*i**3 + 6*i**3 + 6*i**3.
3*i**2*(i + 108)
Determine u so that 1077 - 1083/2*u + 3/2*u**2 = 0.
2, 359
Let v(p) = -5*p**4 - 18*p**3 - 45*p**2 - 29*p + 3. Let z(f) = 24*f**4 + 90*f**3 + 226*f**2 + 146*f - 14. Let q(i) = 28*v(i) + 6*z(i). Factor q(c).
4*c*(c + 1)*(c + 4)**2
Let k(g) be the third derivative of g**7/3780 + g**6/135 - g**4/8 + 5*g**3/6 + 31*g**2 + 1. Let t(r) be the second derivative of k(r). Let t(j) = 0. What is j?
-8, 0
Let m = 3839/18145 + -42/3629. Determine y so that -m*y**2 + 0 + 1/5*y = 0.
0, 1
Let -67 - 60 - 68*a**2 - 16*a + 73 + 634*a = 0. Calculate a.
3/34, 9
Let a(f) be the third derivative of f**6/180 + 11*f**5/18 - f**4/9 - 220*f**3/9 + 2*f**2 - 614*f + 3. Find y, given that a(y) = 0.
-55, -2, 2
Let t(u) be the third derivative of u**6/240 - 7*u**5/40 - 7*u**2 - 5*u. Solve t(l) = 0 for l.
0, 21
Let l(o) be the first derivative of 2*o + 2/25*o**6 + 1/10*o**4 + 27/100*o**5 + 0*o**2 + 0*o**3 + 13. Let p(s) be the first derivative of l(s). Factor p(j).
3*j**2*(j + 2)*(4*j + 1)/5
Let y(r) be the first derivative of r**6/6 + r**5/5 - 3*r**4/2 - 14*r**3/3 - 11*r**2/2 - 3*r - 624. Factor y(i).
(i - 3)*(i + 1)**4
Let x(v) be the second derivative of v**5/5 - 2*v**4 - 118*v**3 - 340*v**2 + 6757*v. Factor x(r).
4*(r - 17)*(r + 1)*(r + 10)
Let i(y) be the second derivative of 1/12*y**4 - 3/4*y**2 + 1/10*y**5 + 1/60*y**6 - 1/3*y**3 + 86*y + 0. Factor i(z).
(z - 1)*(z + 1)**2*(z + 3)/2
Let n(g) = -4*g**3 - g**2 + 16*g + 16. Let c be n(-1). Suppose 5*u = 5*t, u - 5*t + 20 = 6*u. Factor 5/2*y**4 + 65/2*y**u + 15*y**c + 30*y + 10.
5*(y + 1)**2*(y + 2)**2/2
Let f be 4/(-1)*-1 + (-1 - 3). Suppose f = 20*h - 4*h + 3*h. Factor 3/2*x**3 + h - x**4 - x + 3/2*x**2.
-x*(x - 2)*(x + 1)*(2*x - 1)/2
Determine h so that -3019*h + 15997*h + 12854872 + 3*h**2 + 1180835 = 0.
-2163
Let c(b) be the first derivative of b**6/3 - 2*b**5/5 - 3*b**4/2 + 2*b**3/3 + 2*b**2 + 3434. Determine a so that c(a) = 0.
-1, 0, 1, 2
Let g(y) be the third derivative of -1/210*y**5 + 0*y - 8/21*y**3 - 1/14*y**4 + 0 + 308*y**2. Factor g(c).
-2*(c + 2)*(c + 4)/7
Let r = -22 - -247. Let s be (-50)/r + (-38)/(-9). Determine l, given that 163*l + 2*l**s + 12*l**3 - 70*l + 26*l**2 + 8 - 69*l = 0.
-2, -1
Let s(d) be the second derivative of -d**4/54 + 26*d**3/27 - 25*d**2/9 + 2*d + 35. Determine v, given that s(v) = 0.
1, 25
Factor -2/3*p**2 + 280/3 - 62/3*p.
-2*(p - 4)*(p + 35)/3
Let c be 77/(-11)*312/(-637). Solve 2/7*t**3 + c + 38/7*t + 16/7*t**2 = 0.
-4, -3, -1
Let n(a) be the third derivative of a**5/240 + 365*a**4/96 + 75*a**3 - a**2 + 306. Find s, given that n(s) = 0.
-360, -5
Let m(x) = 953*x - 1904. Let k be m(2). Let 4/3*a**k + 0 + 4/3*a**3 - 4/3*a**4 + 0*a - 4/3*a**5 = 0. Calculate a.
-1, 0, 1
Let r(m) = m**2 - 24*m + 110. Let y be r(6). Let b(u) be the first derivative of 20 + 1/6*u**3 + 1/4*u**y - u. Factor b(k).
(k - 1)*(k + 2)/2
Let t be (2/4)/((-506)/276). Let l = -5/99 - t. Determine f so that 0 - l*f - f**3 + 11/9*f**2 = 0.
0, 2/9, 1
Let y(h) = 15*h**2 + 27*h**3 + 6*h - 10*h**2 - 16*h**4 + 0*h**2 + 24 - 2. Let m(u) = -3*u**4 + 5*u**3 + u**2 + u + 4. Let a(i) = 11*m(i) - 2*y(i). Factor a(b).
-b*(b - 1)**2*(b + 1)
Let d(v) be the third derivative of -v**8/1344 + v**7/168 + v**6/80 - 19*v**5/120 + 43*v**4/96 - 5*v**3/8 - 171*v**2 - 3. Factor d(r).
-(r - 5)*(r - 1)**3*(r + 3)/4
Suppose 3*g = 4*p - 56, 3*g + 73 = -8*p + 13*p. Find n such that 2*n - 2*n**3 + 41*n**2 + 2*n**2 - 22 - 4*n**2 - p*n**2 = 0.
-1, 1, 11
Let b(q) be the second derivative of -q**7/189 + 13*q**6/45 + 41*q**5/90 - 13*q**4/18 - 40*q**3/27 + 14*q - 2. Let b(h) = 0. What is h?
-1, 0, 1, 40
Let g(k) = 2 - 149*k**3 - 151*k**3 + 2*k**2 - 1 + 4*k + 299*k**3. Let m(x) = -1. Let h(d) = 2*g(d) + 18*m(d). Factor h(i).
-2*(i - 2)**2*(i + 2)
Let g(y) be the second derivative of y**6/135 - 13*y**5/90 + 53*y**4/54 - 83*y**3/27 + 14*y**2/3 - 102*y + 13. Suppose g(o) = 0. Calculate o.
1, 2, 3, 7
Let w(g) be the second derivative of -g**8/7560 + g**7/3780 + g**6/810 - 13*g**3/2 + 5*g - 40. Let u(t) be the second derivative of w(t). Factor u(s).
-2*s**2*(s - 2)*(s + 1)/9
Factor 88*p**2 - 267*p**2 - 10 + 56*p + 115*p**2.
-2*(4*p - 1)*(8*p - 5)
Let d(n) = 3258*n + 35838. Let w be d(-11). Find u such that -2/5*u**4 - 6/5*u**2 + 2/5*u + w + 6/5*u**3 = 0.
0, 1
Let d(r) be the second derivative of 12*r**2 + 2/3*r**3 + 8 - 1/3*r**4 - 5*r. Factor d(p).
-4*(p - 3)*(p + 2)
Suppose l + 4 = -4*g + g, 3*l = -g + 12. Suppose -8*n**2 + 1120*n**3 - 4*n - 4*n**l + 4 + 4*n**4 + 1122*n**3 - 2234*n**3 = 0. Calculate n.
-1, 1
Determine g so that -12*g**2 + 9*g + 8*g**3 + 450 - 13*g**3 - 450 = 0.
-3, 0, 3/5
Let u(k) = -3*k**3 - 52*k**2 - 13*k + 28. Let m(l) = 2*l**3 + 34*l**2 + 8*l - 19. Let c(t) = -8*m(t) - 5*u(t). Let c(h) = 0. Calculate h.
-12, -1, 1
Solve -1/2*i**2 + 0 - 7/2*i = 0.
-7, 0
Let v(x) be the first derivative of x**5 + 260*x**4 + 18025*x**3 - 520*x**2 - 54080*x - 3243. Solve v(s) = 0.
-104, -1, 1
Let a = 353318/231013 - 4/231013. Solve 28/17*w + 2/17*w**5 - 30/17*w**3 - 26/17*w**4 + 0 + a*w**2 = 0.
-1, 0, 1, 14
Let i = -8728 - -8728. Let x(a) be the third derivative of 1/30*a**5 + 2/3*a**3 - 6*a**2 + i*a + 0 - 1/4*a**4. Factor x(w).
2*(w - 2)*(w - 1)
Let q(m) be the second derivative of -m + 55*m**2 - 7/4*m**5 + 485/6*m**3 + 85/3*m**4 + 2. Determine h so that q(h) = 0.
-1, -2/7, 11
Factor -4/3*j**2 - 1064/3*j + 2/3*j**3 + 10192/3.
2*(j - 14)**2*(j + 26)/3
Let y(x) = 3*x**3 + 30*x**2 + 49*x - 10. Let z(b) = -7*b**3 - b**2 + 2. Let j(l) = -3*y(l) - 12*z(l). Find d, given that j(d) = 0.
-1, 1/25, 2
Let v(y) be the first derivative of -10 + 17*y - 1/11*y**2 + 0*y**3 + 1/66*y**4. Let h(j) be the first derivative of v(j). Factor h(l).
2*(l - 1)*(l + 1)/11
Let h = -33 + 101/3. Let o = 5753/2127 - 27/709. Factor -8/3 + 32/3*l + h*l**2 - o*l**3.
-2*(l - 2)*(l + 2)*(4*l - 1)/3
Let w(q) be the third derivative of -49*q**6/120 + 203*q**5/30 - 113*q**4/24 + 4*q**3/3 + 3*q**2 - 171. Factor w(r).
-(r - 8)*(7*r - 1)**2
Let q be ((-1)/2)/(498/36 - 14). Let j(y) be the third derivative of 0*y - 20*y**2 + 0 - 12*y**4 + 11/20*y**5 - 1/120*y**6 + 128/3*y**q. Factor j(n).
-(n - 16)**2*(n - 1)
Suppose 0 = 38*s - 39*s + 3*i - 13, -3*i + 9 = -3*s. Factor 24*o**3 - 1/4*o**4 - 82944 - 864*o**s + 13824*o.
-(o - 24)**4/4
Let f(p) be the second derivative of 6*p**7/7 + 64*p**6/5 + 232*p**5/5 - 146*p**4/3 - 322*p**3/3 - 60*p**2 - 632*p. Solve f(o) = 0.
-6, -5, -1/3, 1
Solve 6*p**5 + 42*p**3 + 8*p**5 - 291*p + 99 - 5*p**5 - 186*p**4 + 72*p**2 + 15 + 240*p**3 = 0.
-1, 2/3, 1, 19
Let a(r) be the second derivative of 1 + 1/5*r**5 - 12*r**2 + 4/3*r**4 + 2/3*r**3 + 39*r. Factor a(p).
4*(p - 1)*(p + 2)*(p + 3)
Let j(b) be the first derivative of -10*b - 22 - 5/2*b**2 + 5/3*b**3. Let j(o) = 0. Calculate o.
-1, 2
Let b be 210/49 + 6/(-21). Let r(d) be the second derivative of 1/55*d**5 + 0*d**3 + 0*d**2 + 10*d + 0 + 0*d**b - 1/165*d**6. Factor r(u).
-2*u**3*(u - 2)/11
Let p(l) = -l**4 + 2*l**3 - l**2. Let m(u) = -u**5 - 27*u**4 + 38*u**3 + 194*u**2 - 312*u. Let a(t) = m(t) - 2*p(t). Solve a(c) = 0.
-26, -3, 0, 2
Let g be (27/54)/((-1)/2). Let l(m) = m**3 + m. Let s(p) = -p**4 - 5*p**3 - 4*p**2 - p. Let z = 17 + -18. Let k(j) = g*l(j) + z*s(j). Factor k(n).
n**2*(n + 2)**2
Let i be 0/((-7 - (-17)/(17/6)) + -1). Let d(v) be the second derivative of 0*v**4 + 0*v**2