f -r**5/60 - 92*r**4 - 203136*r**3 - 2600*r**2. Let f(h) = 0. Calculate h.
-1104
Let h = -100385/2 + 50196. Factor -1/2*j**3 + h - 25/4*j + 13/4*j**2.
-(j - 2)*(j - 1)*(2*j - 7)/4
Factor 0 + 119/3*t - 1/3*t**2.
-t*(t - 119)/3
Let c = -3469/39 + 89. Let t(b) be the first derivative of -c*b**3 + 2/13*b - 1/26*b**4 + 5 + 1/13*b**2. Find a, given that t(a) = 0.
-1, 1
Let r = 4237/82368 - 1/6336. Let g(u) be the first derivative of r*u**3 - 1 - 2/13*u**2 + 0*u. Factor g(j).
2*j*(j - 2)/13
Let l(w) be the first derivative of -w**7/5040 - w**6/720 + w**4/36 - 22*w**3/3 - 2*w - 8. Let p(q) be the third derivative of l(q). Solve p(o) = 0 for o.
-2, 1
Find l such that 453*l**2 - l**3 - 16*l - 1329*l**2 + 434*l**2 + 450*l**2 = 0.
0, 4
Let h(o) be the second derivative of -155/12*o**4 + 0 + 201*o - 15/4*o**5 - 1/3*o**6 - 10*o**3 + 0*o**2. Find u, given that h(u) = 0.
-4, -3, -1/2, 0
Let v be -3 - (-49)/(5 - 136/28). Determine a so that -203*a + 15*a**5 - 82*a + 16*a**5 - 36*a**5 + v*a**2 + 90 - 190*a**3 + 50*a**4 = 0.
1, 2, 3
Let s(y) = -y**3 + 0*y - 317*y**2 + 317*y**2 - y. Let n(u) = -20*u**3 - 16*u**2 - 4*u + 72. Let p(c) = -n(c) + 16*s(c). Let p(z) = 0. What is z?
-3, 2
Let v(d) = -5*d**4 - 36*d**3 - 2*d**2 - 6*d - 2. Let x(f) = -11*f**4 - 72*f**3 - 5*f**2 - 15*f - 5. Let l(j) = 5*v(j) - 2*x(j). Factor l(k).
-3*k**3*(k + 12)
Let p = -438 + 308. Let y = -128 - p. Let 47 - 101*w**2 - w**3 - 20 - 27*w + 110*w**y = 0. Calculate w.
3
Let k(l) = -l**3 - 31*l**2 - 106*l + 54. Let j be k(-27). Let m(y) be the second derivative of 3/5*y**2 + 4/15*y**3 - 4*y + 1/30*y**4 + j. Factor m(s).
2*(s + 1)*(s + 3)/5
Let r(a) = a**3 - a**2 - 4*a + 12. Let d be r(5). Suppose -30 + l**2 + 5*l**3 + 67*l + 9*l**2 - d*l = 0. Calculate l.
-3, -1, 2
Let p = 277 - 242. Suppose -160 + 18*q + 205 + 5*q**3 + p*q**2 - 103*q = 0. Calculate q.
-9, 1
Let v be ((329/(-1880))/(9/(-18)))/(3/8). Factor v*u + 4/5 + 2/15*u**2.
2*(u + 1)*(u + 6)/15
Let q(p) be the third derivative of -5/504*p**8 + 7/90*p**5 - 93*p**2 + 0 - 1/540*p**6 + 1/27*p**4 - 29/945*p**7 - 4/27*p**3 + 0*p. Find w such that q(w) = 0.
-1, 2/5, 2/3
Let k(u) be the first derivative of -u**6/30 + 11*u**5/25 - 23*u**4/20 - 47*u**3/15 + 12*u**2/5 + 36*u/5 - 815. Let k(w) = 0. Calculate w.
-1, 1, 6
Let l = -51137 + 51139. Suppose -2/7*z**3 - 16/7*z - 2*z**l + 32/7 = 0. Calculate z.
-4, 1
Let z(l) be the first derivative of 7/12*l**2 - 2/3*l**3 - 28 - 1/6*l. Factor z(p).
-(3*p - 1)*(4*p - 1)/6
Let b be 1 + (-35)/5 + 12. Let l = 14 - 11. Factor 302*x**l - 104*x**3 - b - 31*x**4 - 157*x**2 + 2 - 50*x**4 + 44*x.
-(x - 1)**2*(9*x - 2)**2
Factor 2127/4*h + 3/4*h**2 + 2121/2.
3*(h + 2)*(h + 707)/4
Suppose -454/3 - 1063*t**3 + 379*t + 2492/3*t**2 + 14/3*t**4 = 0. Calculate t.
-1/2, 2/7, 1, 227
Let z(m) be the first derivative of -m**4/8 + 11*m**3/6 + 14*m**2 + 30*m - 1620. Solve z(v) = 0.
-2, 15
Let v(x) = -3*x**2 + 69*x - 84. Suppose -4*z - 14 = 2*a, -2*z + 4*a = -24 + 6. Let r(p) = -p**2 - 2*p. Let u(b) = z*v(b) + 6*r(b). Solve u(o) = 0 for o.
-28, 1
Suppose 16*o = 21*o - 30. Suppose m + 3 = o. Determine h, given that 3*h**2 + 2 + 2*h**3 + 3*h**2 - 5*h + 11*h + 0*h**m = 0.
-1
Let q(c) be the second derivative of 128*c**7/21 - 992*c**6/15 + 301*c**5 - 2228*c**4/3 + 1070*c**3 - 900*c**2 - 2583*c. Find s, given that q(s) = 0.
1, 15/8, 2
Let q be (6/(-1395))/(21/(-23520)). Let c = q + 16/31. Factor c - 56/3*a - 4/3*a**2 + 14/3*a**3.
2*(a - 2)*(a + 2)*(7*a - 2)/3
Let y(x) = -3*x**4 - 74*x**3 - 383*x**2 - 840*x - 535. Let m(q) = -q**4 - 24*q**3 - 127*q**2 - 280*q - 178. Let w(c) = -7*m(c) + 2*y(c). Factor w(v).
(v + 1)*(v + 4)**2*(v + 11)
Let n = 262 + -264. Let s be 7/(-1 + (-9)/n). Determine c, given that 1/8*c - 1/8*c**s + 3/4 = 0.
-2, 3
Let u be 10/(-6) + (-1275)/(-225) + -2 + 2. Let c(x) be the second derivative of 0 + u*x**2 - 1/12*x**4 - 23*x + 1/3*x**3. Factor c(y).
-(y - 4)*(y + 2)
Let g(o) = 48*o - 164. Let u be g(6). Suppose 3*b = -u + 124. Let 1/3*a + 1/6*a**2 + b - 4/3*a**3 + 5/6*a**4 = 0. Calculate a.
-2/5, 0, 1
Let p be (2/3 - 4/3)*5400/(-9000). Suppose -8/5*n + 6/5 + p*n**2 = 0. Calculate n.
1, 3
Let z(o) be the third derivative of -o**6/540 + o**5/135 + 19*o**4/108 - 20*o**3/27 - 35*o**2 - 5. Factor z(t).
-2*(t - 5)*(t - 1)*(t + 4)/9
Let g(h) be the third derivative of -2*h**7/105 + 2*h**6/3 - 106*h**5/15 + 34*h**4 - 78*h**3 + 1953*h**2. Factor g(d).
-4*(d - 13)*(d - 3)**2*(d - 1)
Let x(g) = -20*g**2 + 1632*g - 600. Let b(a) = -21*a**2 + 1633*a - 601. Let y(f) = 12*b(f) - 11*x(f). Suppose y(d) = 0. Calculate d.
3/8, 51
Determine a so that -36/7 + 18/7*a - 2/7*a**2 = 0.
3, 6
What is u in -22 + u**4 + 1756*u - 15*u**3 + 25*u**2 - 1741*u - 4 = 0?
-1, 1, 2, 13
Let l(z) be the second derivative of -26*z - 2/15*z**5 + 0 - 1/90*z**6 + 4/9*z**3 + 8/3*z**2 - 5/12*z**4. Factor l(f).
-(f - 1)*(f + 1)*(f + 4)**2/3
Factor 336*p**3 + 20*p**4 + 800 + 91*p**3 + 1760*p + 842*p**2 + 608*p**2 + 29*p**4 - 112*p**2.
(p + 1)*(p + 2)*(7*p + 20)**2
Let p(j) be the first derivative of -2*j**3/3 - 559*j**2 + 1120*j - 2740. Factor p(o).
-2*(o - 1)*(o + 560)
Factor 16*z + 40153 + 72*z + 2*z**2 - 79591 + 39828.
2*(z + 5)*(z + 39)
Let w(j) = -1573*j - 945*j**2 + 202*j - 270 + 101*j. Let c(k) = 35*k**2 + 47*k + 10. Let g(h) = 55*c(h) + 2*w(h). Find m, given that g(m) = 0.
-1, -2/7
Let m = -319548 + 319550. Factor 2 - 1/3*o**m + 5/3*o.
-(o - 6)*(o + 1)/3
Determine w so that -185/7 - 187/7*w**2 + 53*w + 1/7*w**3 = 0.
1, 185
Factor -891177*d - 54*d**4 + 2048000 + 97577*d - 106560*d**2 + 3625364*d**3 - 3629576*d**3.
-2*(d - 2)*(3*d + 80)**3
Let i(s) be the first derivative of -s**4/4 - 14*s**3/3 + 251*s**2/2 - 600*s + 6436. What is h in i(h) = 0?
-25, 3, 8
Let d(r) be the first derivative of 0*r - 9/11*r**2 - 41 - 1/22*r**4 - 4/11*r**3. Let d(o) = 0. Calculate o.
-3, 0
Let m be 144/16 + -1 + -4. Factor -8 - 7*f - 5*f**3 - 10*f**2 + 19*f**2 + f**m + 10.
(f - 2)*(f - 1)**3
Let n(j) = 208*j + 4995. Let a be n(-24). Let u(k) be the first derivative of -8 + 6/5*k**5 - k**3 - a*k - 27/8*k**4 + 27/4*k**2. Suppose u(z) = 0. Calculate z.
-1, 1/4, 1, 2
Factor -1/9*r**4 - 38/3*r**2 + 0 + 232/9*r - 13*r**3.
-r*(r - 1)*(r + 2)*(r + 116)/9
Factor -42*n**2 - 49/2*n + 6*n**4 + 0 - 1/2*n**5 - 11*n**3.
-n*(n - 7)**2*(n + 1)**2/2
Let t(i) be the second derivative of -3*i**5/80 - 2223*i**4/16 - 1647243*i**3/8 - 1220607063*i**2/8 + 5*i - 11. Factor t(w).
-3*(w + 741)**3/4
Let p be (-1)/(-2)*(-13 - 1485/(-105)). Let y = 5386/203 + -322/29. Factor -2916/7 + 972/7*s + p*s**3 - y*s**2.
4*(s - 9)**3/7
Let x(n) = -16*n**2 - 204*n + 562. Let m(r) = -r**2 + 21*r - 1. Let w(a) = 36*m(a) - 2*x(a). Let w(p) = 0. Calculate p.
1, 290
Suppose 0 = -i - 18*i + 392 - 354. Factor 4/3 - 1/3*h**i - h.
-(h - 1)*(h + 4)/3
Let t(w) = 2*w**3 - 71*w**2 - 21*w + 44. Let p be t(36). Let c = 3505/6 - p. Solve -c - 3/2*d**3 + 3/2*d**2 + 1/6*d = 0 for d.
-1/3, 1/3, 1
Find r such that -55 + 7*r**3 - 24*r**2 + 17*r**3 - r**4 - 348*r - 23*r**2 + 24*r - 197 = 0.
-2, -1, 6, 21
Factor -4/7*h**2 + 9216/7*h - 5308416/7.
-4*(h - 1152)**2/7
Let p be 0*((-425)/(-34) + -13). Let a(r) be the second derivative of -1/3*r**4 - 1/15*r**6 + p - 10*r + 0*r**2 - 3/10*r**5 + 0*r**3. Factor a(s).
-2*s**2*(s + 1)*(s + 2)
Solve 75/2*l**2 - 96*l - 3/4*l**3 - 10752 = 0 for l.
-14, 32
Let n(f) = -2*f**2 - 13*f - 3. Let d(z) = z**3 - 5*z**2 + 4*z - 6. Let x be d(4). Let t be n(x). Suppose 8*h**2 - h**3 - 8*h**2 + 6*h**t - 5*h = 0. What is h?
-1, 0, 1
Let a(l) be the second derivative of l**4/9 - 32*l**3/9 + 110*l**2/3 - 2*l + 302. Suppose a(m) = 0. What is m?
5, 11
Let t(u) be the second derivative of -3/20*u**5 + 15*u**2 + 0 - 36*u + 3*u**4 - 21/2*u**3. Factor t(o).
-3*(o - 10)*(o - 1)**2
Let c(p) be the first derivative of -10*p**2 + 84 - 20*p**3 + p**5 + 80*p - 5/4*p**4. Factor c(d).
5*(d - 4)*(d - 1)*(d + 2)**2
Suppose -372 = 5*z - 472. Suppose 2*j + 22*x = z*x - 6, -j + 12 = -2*x. Suppose 6/11 + 7/11*w + 1/11*w**j = 0. Calculate w.
-6, -1
Let l = 1646 - 3235. Let z = l + 1655. Solve -z*i + 12 - 567*i**2 + 9477/2*i**3 - 8748*i**4 = 0 for i.
-1/8, 2/9
Let j be (44/(-77))/(1/((-14)/4)). Factor -16*p - 3*p**2 - 5*p**j + 0*p**3 - 8 - 2*p**3 - 2*p**2.
-2*(p + 1)*(p + 2)**2
Suppose 218*u - 221*u + m + 22 = 0, 0 = -3*u - 3*m - 30. So