095*d + 3850*d**3 + 3360*d**3 + 21600*d**2 + 7195 = 0?
-1439, -1
Suppose 0*o = -9*o - 63. Let s be (845/120 + o)*8. Let 0*q + s*q**2 + 0 = 0. What is q?
0
Let x = -3425704/13 - -263518. What is g in 8/13 - x*g**2 - 56/13*g = 0?
-2, 2/15
Let j(t) = -49*t - 586. Let a be j(-12). Let u = 871/132 - -5/33. What is s in 1 - u*s**4 + 81/4*s**3 + 99/4*s**a + 35/4*s = 0?
-1/3, 4
Factor 823308*a - 823323*a + a**4 + 7*a**2 + 2*a**3 + 5*a**3.
a*(a - 1)*(a + 3)*(a + 5)
Let m(r) = -9*r**4 - 6*r**3 + 3*r**2. Let u be 2*4*3/4. Suppose -2*a = -a + u. Let g(x) = -8*x**4 - 5*x**3 + 3*x**2. Let j(v) = a*g(v) + 5*m(v). Factor j(o).
3*o**2*(o - 1)*(o + 1)
Solve -22/3*g**4 - 392/3 + 14/3*g**3 + 286/3*g**2 + 112/3*g + 2/3*g**5 = 0 for g.
-2, 1, 7
Let b(k) be the third derivative of 121*k**5/60 + 1595*k**4/12 + 21025*k**3/6 - 4*k**2 + 4*k + 241. Factor b(n).
(11*n + 145)**2
Let w(b) be the second derivative of 5*b**4/12 + 35*b**3 - 1620*b**2 - 4333*b + 1. Determine o so that w(o) = 0.
-54, 12
Factor -153/2 + 3/8*t**2 - 21/2*t.
3*(t - 34)*(t + 6)/8
Let o(x) be the first derivative of x**4/10 + 18*x**3/5 + 39*x**2 + 338*x/5 + 8424. Factor o(n).
2*(n + 1)*(n + 13)**2/5
Let r(c) = -2*c**3 - 2*c**2 - 2*c - 8. Let y be (-1 - 4)*-9*(-8)/180. Let d be r(y). Solve -15*b**2 + 13*b**3 - 20*b + 14*b**3 - 5 + 20*b**d - 7*b**3 = 0.
-1, -1/2, 1
Let f(o) be the first derivative of -2*o**3 + 187*o**2/2 - 31*o + 333. Let b be f(31). Factor -1/5*w**2 + 3/5*w + b.
-w*(w - 3)/5
Let o = -219850/91 + 16918/7. Factor 0 - 2/13*y**3 + o*y + 2/13*y**2.
-2*y*(y - 3)*(y + 2)/13
Let i(c) be the third derivative of c**7/525 - c**6/150 - 7*c**5/150 - c**4/15 + 1367*c**2. Factor i(r).
2*r*(r - 4)*(r + 1)**2/5
Let a be ((-88)/12 - -7)/((12/(-675))/2). Let n(f) be the first derivative of a*f**2 + 1/4*f**4 + 5*f**3 + 125*f - 22. Suppose n(z) = 0. Calculate z.
-5
Let c(f) be the second derivative of f**5/15 + 227*f**4/18 - 1823*f**3/9 - 968*f**2/3 + 265*f + 18. Find s such that c(s) = 0.
-121, -1/2, 8
Suppose -312/19 + 2/19*z + 2/19*z**2 = 0. What is z?
-13, 12
Let i(q) = 8*q**2 + 94*q + 1421. Let w(n) = -6*n**2 - 120*n - 1420. Let m(j) = 4*i(j) + 5*w(j). Factor m(x).
2*(x - 118)*(x + 6)
Let h = -6464739/8 + 808095. Factor -9/4 - 3/8*z**3 + 0*z**2 + h*z.
-3*(z - 2)*(z - 1)*(z + 3)/8
Let k be (-1)/4 - 21/(-20). Suppose 98*w = 98 + 98. Factor 2/5*f**4 + 0 + 2/5*f**w + k*f**3 + 0*f.
2*f**2*(f + 1)**2/5
Let l(c) be the first derivative of -7*c**6/150 + 9*c**5/100 - c**4/30 + 167*c + 124. Let b(s) be the first derivative of l(s). Solve b(q) = 0.
0, 2/7, 1
Let x = -1062515/364 - -2919. Let g = x + 6547/1820. Find v such that g + 3/5*v - 3/5*v**2 = 0.
-2, 3
Factor -1341/2*k**2 + 599427/2*k - 89314623/2 + 1/2*k**3.
(k - 447)**3/2
Let b(a) be the third derivative of 0*a**3 + 0*a**4 - 1/60*a**5 + 1/630*a**7 - 3*a + 0 + 6*a**2 - 1/180*a**6. Factor b(c).
c**2*(c - 3)*(c + 1)/3
Let m(t) = -18*t**3 + 95*t**2 - 91*t. Let w be m(4). Suppose -4/3*c**4 + w*c**3 + 32/3 + 8/3*c**2 - 16*c = 0. Calculate c.
-2, 1, 2
Let w be 38 + -10 + -19 + -4. Let d(a) be the first derivative of -9*a**4 - 162*a**2 + 3/5*a**w + 243*a + 54*a**3 + 6. Find m such that d(m) = 0.
3
Suppose -20*o + 5*v - 8*v + 60 = 0, -v - 9 = -3*o. Factor -10/3*m - 14/3*m**2 + 10/3*m**o + 4 + 2/3*m**4.
2*(m - 1)**2*(m + 1)*(m + 6)/3
Let w be (-1)/(54/4)*14370/(-9580). Factor -1/9*p + w*p**2 - 4/3.
(p - 4)*(p + 3)/9
Let r = -150537 - -150539. Factor 2/9*f**r - 16/3*f + 32.
2*(f - 12)**2/9
Let y(c) = 6*c**4 + c**3 + c**2 - c + 2. Let o(w) = -10*w**4 - 42*w**3 - 134*w**2 - 134*w - 50. Let f(q) = o(q) + 2*y(q). Factor f(b).
2*(b - 23)*(b + 1)**3
Let y(t) = -5. Let n be (2 - 1) + (-6 - -10). Let o(q) = q**3 + 2*q**2 - 15. Let p(i) = n*o(i) - 15*y(i). Let p(b) = 0. Calculate b.
-2, 0
Let c(a) be the third derivative of 0 - 1/24*a**5 - 7/48*a**4 - 8*a**2 + 1/2*a**3 + 7*a + 7/240*a**6 - 1/420*a**7. Solve c(x) = 0 for x.
-1, 1, 6
Let l(d) = d**3 - 6*d**2 - 8*d + 11. Let u be l(7). Suppose -u*j + 6 = -2. Factor 10*k**2 - 6*k**2 - 2*k**j - 1 - k**2.
(k - 1)*(k + 1)
Let m = -368/7 - -2005/42. Let b = m + 37/6. Suppose 0 - 8/3*d**2 - 4*d**3 - b*d**4 + 0*d = 0. Calculate d.
-2, -1, 0
Let t = -303/742 + 4483/3710. Let t*b**2 + 320 + 32*b = 0. What is b?
-20
Solve 128*g**2 + 0 - 16384*g - 1/4*g**3 = 0.
0, 256
Suppose 26*l = 32*l + 222. Let b = l - -68. Factor -u**2 + 36*u - 11*u**2 - 30*u**3 + b*u**3.
u*(u - 6)**2
Let n = -85321/15 + 5689. Let d(f) be the second derivative of 0 + 2/5*f**2 + f - n*f**3 - 8/15*f**4. Factor d(g).
-4*(g + 1)*(8*g - 1)/5
Suppose 0 = 98*t - 94*t - 32. Let r = -7 - -9. Factor -8*g**r - 87*g**3 + 44*g**3 - 18*g + t*g + 45*g**3.
2*g*(g - 5)*(g + 1)
Suppose 15534*n - 15510*n = 48. Suppose -2*o - 8 = -16. Factor -1/2*d**n + 1/2*d**o + d - d**3 + 0.
d*(d - 2)*(d - 1)*(d + 1)/2
Let a(w) be the second derivative of -w**10/151200 - w**9/15120 - w**8/8400 + 3*w**4/4 - w**2 + 107*w. Let k(z) be the third derivative of a(z). Factor k(s).
-s**3*(s + 1)*(s + 4)/5
Let b(x) = -x**2 - 10*x - 5. Let l be b(-8). Suppose -l*t = -7*t. Let -4/3*o**2 + 2/3*o**3 + 2/3*o + t = 0. What is o?
0, 1
Let l(f) = 3*f**2 - 1465*f + 1476. Let y(w) = 50*w**2 - 24900*w + 25095. Let c(i) = -35*l(i) + 2*y(i). Factor c(b).
-5*(b - 294)*(b - 1)
Factor 12869712/11 - 207576/11*l + 1116/11*l**2 - 2/11*l**3.
-2*(l - 186)**3/11
Let b(c) be the second derivative of -c**6/70 + 93*c**5/140 - 29*c**4/28 - 31*c**3/14 + 45*c**2/7 - 992*c. Determine f, given that b(f) = 0.
-1, 1, 30
Let w(u) = 24049*u - 144292. Let s be w(6). Factor 1/3*l**s - 2 - 1/3*l.
(l - 3)*(l + 2)/3
Suppose -270*g**2 + 9757*g**3 - 159*g**2 - 9754*g**3 = 0. What is g?
0, 143
Solve 1106*i**2 + 980*i**2 - 125268*i - 42139*i + 47282*i - 5*i**3 - 536*i**2 = 0 for i.
0, 155
Let y(z) be the first derivative of -30*z**2 + 0*z - 55/3*z**3 + 11*z**5 - 5/6*z**6 - 101 + 65/4*z**4. Suppose y(w) = 0. What is w?
-1, 0, 1, 12
Let 464*p - 81 + 54 - 25*p**2 + 327 - 1204*p = 0. Calculate p.
-30, 2/5
Let p = 1874 + -1868. Let i(t) = 2*t + 2*t - 9*t**2 + 2*t**2. Let g(x) = -14*x**2 + 7*x. Let z(q) = p*g(q) - 11*i(q). Factor z(s).
-s*(7*s + 2)
Let c(d) be the first derivative of 9*d**3 + 3*d**2 - 181 + 21/4*d**4 + 0*d. Factor c(k).
3*k*(k + 1)*(7*k + 2)
Let g(b) be the third derivative of -b**9/15120 + b**8/8400 + 94*b**3/3 - 44*b**2 + 2. Let u(p) be the first derivative of g(p). Suppose u(o) = 0. What is o?
0, 1
Let r(x) be the first derivative of x**4/16 + 215*x**3/12 + 11663*x**2/8 + 11449*x/4 - 15076. Factor r(l).
(l + 1)*(l + 107)**2/4
Let k(g) be the second derivative of -1/4*g**4 - 1/30*g**5 - 9/2*g**2 + 0 - 2/3*g**3 + 18*g. Let b(y) be the first derivative of k(y). Factor b(h).
-2*(h + 1)*(h + 2)
Let b(k) = -11*k**2 + 99*k + 267. Let i(p) = 3*p**2 - 5*p + 1. Let l(r) = b(r) + 3*i(r). Solve l(w) = 0.
-3, 45
Suppose 126331 = -41*r + 126659. Let q(x) be the second derivative of 0 - 2/25*x**5 + 1/75*x**6 + r*x + 0*x**2 + 1/6*x**4 - 2/15*x**3. Factor q(j).
2*j*(j - 2)*(j - 1)**2/5
Suppose -6*h - 1870 = 11*h. Let c = -108 - h. What is t in -74/13*t**4 + 4/13*t + 0 - 2*t**5 - 66/13*t**3 - 14/13*t**c = 0?
-1, 0, 2/13
Let y(o) = -o**4 + o**2 - o - 1. Let l(x) = 7*x**4 + 4*x**3 + 10*x + 7. Let a(b) = -l(b) - 6*y(b). Factor a(n).
-(n + 1)**4
Let g(z) be the third derivative of -117*z**2 + 25/6*z**4 - 625/3*z**3 - 1/30*z**5 + 0*z + 0. Factor g(u).
-2*(u - 25)**2
Factor -4*j**3 + 78/7*j**2 - 2/7*j**4 + 176*j - 3872/7.
-2*(j - 4)**2*(j + 11)**2/7
Let u(q) be the second derivative of 95*q**4/28 - 667*q**3/14 + 3*q**2 - 1426*q. Factor u(w).
3*(w - 7)*(95*w - 2)/7
Let t(l) be the first derivative of -8*l**5/65 - 115*l**4/26 - 166*l**3/39 + 28*l**2/13 + 3532. Let t(k) = 0. What is k?
-28, -1, 0, 1/4
Factor 64/3 - 16/3*s + 1/3*s**3 - 4*s**2 + 1/6*s**4.
(s - 4)*(s - 2)*(s + 4)**2/6
Let g(l) = 6*l**3 + 11*l**2 + 17*l - 18. Let q(v) = 5*v**3 + 10*v**2 + 15*v - 18. Let x(h) = -6*g(h) + 7*q(h). Let x(i) = 0. Calculate i.
-2, 3
Let f(l) be the third derivative of 1/180*l**5 + 0 - 1/36*l**4 + 1/18*l**3 + 0*l - 116*l**2. Factor f(t).
(t - 1)**2/3
Suppose 4*t - 129 = -f, -4*f + 4*t + 124 + 352 = 0. Factor 4*p**2 + f + 53*p + 51*p + 72 - 1.
4*(p + 2)*(p + 24)
Let v be 0 + 2*11/2. Let u(g) = -g**2 + 4*g - 11. Let s(y) = 13 - 58 - 5*y**2 + 3*y + 16*y - 18 + 7. Let q(z)