Find p, given that -15*p - 17*p - 3 + o*p**4 - 46*p**2 - 5 - 353*p**4 - 28*p**3 = 0.
-2, -1, -2/3
Suppose 0 + 0*z - 4/3*z**2 = 0. Calculate z.
0
Let p(i) be the first derivative of -94*i**5/45 - 98*i**4/27 - 55*i**3/27 - 2*i**2/9 - 304*i + 71. Let z(t) be the first derivative of p(t). Factor z(h).
-2*(2*h + 1)**2*(47*h + 2)/9
Factor -2*q**3 + 2*q - 1/3*q**4 + 3 - 8/3*q**2.
-(q - 1)*(q + 1)*(q + 3)**2/3
Let p = 0 + 0. Let c(o) = -14154*o + 56618. Let d be c(4). Find w such that 3/8*w**4 + 0 - 3/8*w**d + 0*w**3 + p*w = 0.
-1, 0, 1
Let x = 3375 + 8603. Solve x*z**3 + z**2 + 6*z - 11979*z**3 - 2*z**2 = 0.
-3, 0, 2
Let 39/4*x**4 - 39*x + 123/4*x**3 + 9/2*x**2 - 6 = 0. Calculate x.
-2, -2/13, 1
Let h(j) = 2*j**3 + 6*j**2 + 7*j - 9. Let b be h(-3). Let d be 140/b - 16/(-2). Solve -8/3*w**4 - 2/3*w**5 - 4/3*w**2 - d*w**3 + 0 + 0*w = 0.
-2, -1, 0
Let x(l) = 39*l**2 - 16*l - 4. Let t be x(8). Factor 75*c**2 + 60 - 147*c**2 + 5320 + t + 352*c + 76*c**2.
4*(c + 44)**2
Let m(q) be the second derivative of -q**7/126 + q**6/135 + 67*q**5/180 - 49*q**4/54 - 20*q**3/27 + 3550*q. What is y in m(y) = 0?
-5, -1/3, 0, 2, 4
Let 0*q - 2748/7*q**2 + 0 - 2/7*q**3 = 0. Calculate q.
-1374, 0
Suppose f - m = 9 + 143, f = -3*m + 144. Factor -66 - 101 + g**2 + 2*g**3 + f*g - 31 - 30*g**2 - 5*g**2.
2*(g - 11)*(g - 3)**2
Let t(r) be the first derivative of -r**4/4 + 3*r**3/10 + 12*r**2/5 + 286*r - 249. Let z(u) be the first derivative of t(u). Factor z(q).
-3*(q + 1)*(5*q - 8)/5
Let q = 76222 + -76219. Factor -5/2*s**2 + 11/2*s - 1/6*s**q - 17/6.
-(s - 1)**2*(s + 17)/6
Suppose -4*w = -2*o - 2, 3*w + 18 = 2*o + 4*w. Factor o*g**3 - g**4 - 3023 + 8*g**2 + 3023.
-g**2*(g - 8)*(g + 1)
Suppose -3*v + 0*b + 5*b + 60 = 0, b = -2*v + 27. Factor -v*p + 15 - 26083*p**2 + 26086*p**2 + 3.
3*(p - 3)*(p - 2)
Find m such that -2*m**4 + 0*m + 0 - 18/7*m**5 + 0*m**2 + 32/7*m**3 = 0.
-16/9, 0, 1
Let s(i) be the third derivative of -5/12*i**4 + i + 0 - 2*i**3 + i**2 - 1/30*i**5. Find h such that s(h) = 0.
-3, -2
Let -2368*h**2 - 583751*h - 1178*h**2 - 183488952 + 1980875*h + 3*h**3 = 0. Calculate h.
394
Let y(s) be the second derivative of s**9/9072 - s**7/2520 - 4*s**3/3 - 60*s. Let u(b) be the second derivative of y(b). Find w, given that u(w) = 0.
-1, 0, 1
Let d(r) be the second derivative of 0*r**2 + 0*r**3 + 2/5*r**5 + 2/15*r**6 + 2 - 2*r + 0*r**4. Factor d(o).
4*o**3*(o + 2)
Let a be ((8/(-72) + -1)*(-2)/5)/(2/21). Determine o, given that -20/3 - 2/3*o**2 - a*o = 0.
-5, -2
Suppose 0 = -64*o + 16*o + 480. Suppose -4*m + 0 + 2 = 3*k, -o = 5*k. Solve 14/13 + 2/13*p**3 + 10/13*p**2 - m*p = 0.
-7, 1
Let x be (17/(238/4))/(771/(-7)). Let n = x + 781/3855. What is u in 0*u + 3/5*u**2 + 0 + n*u**3 = 0?
-3, 0
Factor 72*c**2 + 5554*c**3 + 160 - 124*c - 84*c - 5550*c**3 - 4*c**4.
-4*(c - 2)**3*(c + 5)
Let z(v) = -23*v**2 - 7835*v - 5109130. Let x(t) = -19*t**2 - 7834*t - 5109119. Let b(f) = 5*x(f) - 4*z(f). Factor b(o).
-3*(o + 1305)**2
Let n = -168392 - -168392. Factor 11/3*f**2 + 7*f**3 + 0 - 2/3*f**4 + n*f.
-f**2*(f - 11)*(2*f + 1)/3
Let l(q) be the third derivative of 3/20*q**5 + 65*q**2 + 1/40*q**6 - q + 0 - 6*q**3 - 1/2*q**4. Solve l(a) = 0.
-3, -2, 2
Let h = -236 - -273. Determine d, given that 3*d**3 - h - 87*d**2 + 139*d - 44 + 26*d = 0.
1, 27
Let r = 10 + 7. Suppose -7*u = -r*u + 50. Suppose 22*t**3 + 8*t**4 + 17*t + 5*t**4 + t**5 + 9 - 5 + 28*t**2 - u*t**4 = 0. Calculate t.
-4, -1
What is z in 1/4*z - 1/2 + 1/4*z**2 = 0?
-2, 1
Let w = 193366/3 + -64454. Let -8*o**2 + 8 - 4/3*o**3 + w*o = 0. Calculate o.
-6, -1, 1
Let b be (12/15*5)/(2 + 0). What is m in 7*m**3 + 73*m**4 - 12*m - 8 - 73*m**4 - m**5 + b*m**2 = 0?
-2, -1, 2
Let l(w) = 5*w**3 + 2020*w**2 - 2005*w - 50. Let d(u) = 4*u**3 + 1011*u**2 - 1003*u - 30. Let q(a) = 5*d(a) - 3*l(a). Factor q(p).
5*p*(p - 200)*(p - 1)
Suppose -5*n = -o + 31, 8 = -5*n + 2*o - 24. Let y be 3/n*0 - -4. Find k such that 8/9*k + 0 - 8/9*k**2 - 2/9*k**3 + 2/9*k**y = 0.
-2, 0, 1, 2
Suppose 0 = -363*w + 357*w + 102. What is j in w*j**3 - 11*j**3 + 28*j**5 - 31*j**5 - 3*j = 0?
-1, 0, 1
Let l be -2 + 70/18 + (-40)/(-360). Suppose 1 = 3*r - 8. Factor -2*x**3 - 2*x**r + 215*x**2 - 215*x**l.
-4*x**3
Factor 30780*l**2 - 1635 - 1937*l + 12290*l**3 + 9889*l - 2040*l**3 + 11900 + 22838*l - 5*l**4.
-5*(l - 2053)*(l + 1)**3
Suppose -132*o + 10 = -130*o + 4*c, -4*c - 20 = -4*o. Factor 2/9*s**2 + 2/9*s**o + 0 - 2/9*s**3 + 0*s - 2/9*s**4.
2*s**2*(s - 1)**2*(s + 1)/9
Let w be (-158)/711 + 71/(-45) - (-3066)/1470. Solve -10/7*o**2 + 0 - 12/7*o - w*o**3 = 0.
-3, -2, 0
Suppose 10 = 2*h + 2*l, -l + 6*l - 18 = -4*h. Suppose h*a - 5*a - 8 = 0. Find s such that -a*s**3 + 5*s + 12*s**2 + 3*s + 8*s**3 = 0.
-2, -1, 0
Let g = -2/95277 - -95281/190554. Factor -g*l**2 + 1/4*l**3 + 0 + 0*l.
l**2*(l - 2)/4
Let h(q) = -36*q**2 + 152*q - 462. Let r(d) = 91*d**2 - 306*d + 924. Let o(v) = -10*h(v) - 4*r(v). Factor o(c).
-4*(c - 3)*(c + 77)
Suppose 2*o + 9*j - 10*j - 10 = 0, 3*o - j = 16. Let k be (-7)/(-2) + 1/o*-3. Factor 4/3*w - 2/3*w**2 - 8/9 + 1/9*w**k.
(w - 2)**3/9
Suppose -16*x - 14*x + 90 = 0. Factor -44*t - 35*t**x + 14*t**3 + 5*t**4 - 4*t**2 + 16*t**3 - t**2 + 49*t.
5*t*(t - 1)**2*(t + 1)
Let g be 6 + 96/(-120)*(-2 + 7). Factor -12*x**2 - 5*x**g + 372*x - 11532 + 14*x**2.
-3*(x - 62)**2
Let v = -33678 - -33680. Factor 8/5*r - 2/5*r**v + 2.
-2*(r - 5)*(r + 1)/5
Suppose 217*p = 200*p + 11628. Let n = p - 682. Factor 0 - 7/6*g**n - 1/3*g.
-g*(7*g + 2)/6
Let z(d) be the first derivative of 3*d**4/20 - 25*d**3 + 741*d**2/10 - 369*d/5 + 168. Find g such that z(g) = 0.
1, 123
Let y(l) be the first derivative of 14*l - 8/9*l**3 - 96 - 25/3*l**2. Factor y(j).
-2*(j + 7)*(4*j - 3)/3
Factor -244 + 230/7*k + 2/7*k**2.
2*(k - 7)*(k + 122)/7
Let g be (3 - 110/36)/(1026/(-4104)). Factor -2*n**2 - 28/9*n - g*n**3 + 16/3.
-2*(n - 1)*(n + 4)*(n + 6)/9
Let k(h) be the third derivative of h**5/45 - 34*h**4/3 + 2312*h**3 - h**2 + 187*h. Solve k(f) = 0.
102
Let a(b) = -11*b**3 + 487*b**2 + 971*b + 473. Let m(l) = -6*l**3 + 244*l**2 + 486*l + 236. Let u(s) = -5*a(s) + 9*m(s). Factor u(n).
(n - 241)*(n + 1)**2
Let f = -53846 + 53848. Determine u, given that 4/3*u**3 + 1/3*u**f - 2/3 - 7/6*u + 1/3*u**4 - 1/6*u**5 = 0.
-1, 1, 4
Let a be 7/((-21)/(-34)) - (-2)/3. Suppose -a = 4*b - 4*g, 4*b - 4*g = -9*g + 33. Factor -2*y - 1 + 5/4*y**3 - 1/4*y**b + 1/4*y**4 - 1/4*y**5.
-(y - 2)**2*(y + 1)**3/4
Let r(g) be the second derivative of -g**5/120 - 31*g**4/18 - 121*g**3/12 + 6890*g. Factor r(j).
-j*(j + 3)*(j + 121)/6
Suppose 20*k - 4732 = -162*k. Let p(x) be the first derivative of x**3 + k - 18*x - 3/2*x**2. Solve p(v) = 0 for v.
-2, 3
Let c(j) = j**3 + 6*j**2 + 7*j - 2. Let o be c(-4). What is b in -8 - 26*b + 3*b + 14*b - o*b**2 - b = 0?
-4, -1
What is n in 316969/5*n**2 + 1126/5*n + 1/5 = 0?
-1/563
Let f(r) = -9*r**2 + 366*r + 13980. Let w be f(-24). Factor 204*a**2 + w - 195/2*a - 24*a**3.
-3*(a - 8)*(4*a - 1)**2/2
What is p in -730*p**3 - 3528*p + 3108*p**2 - 1/3*p**5 + 89/3*p**4 + 0 = 0?
0, 2, 3, 42
Suppose -260 = -4*k - 3*w - 246, -2*k + w + 2 = 0. Find g, given that -k + 2/9*g**2 + 16/9*g = 0.
-9, 1
Let m(k) be the third derivative of k**6/600 - 4*k**5/75 + 2*k**4/5 - 3*k**2 + 893. Let m(l) = 0. What is l?
0, 4, 12
Let b(m) be the third derivative of 0 + 2209/15*m**3 + 1/150*m**5 + 47/30*m**4 + 49*m**2 + 0*m. Factor b(c).
2*(c + 47)**2/5
Suppose 27 = 3*m + 12. Factor -12 + 2*h**2 + 3 + m - 10 + 12*h.
2*(h - 1)*(h + 7)
Let u(l) be the first derivative of l**6/57 + 44*l**5/19 + 420*l**4/19 + 4960*l**3/57 + 3280*l**2/19 + 3264*l/19 + 3854. Let u(y) = 0. Calculate y.
-102, -2
Let b(j) be the first derivative of -j**8/756 - j**7/1890 + 99*j**2/2 + 106. Let y(o) be the second derivative of b(o). Factor y(k).
-k**4*(4*k + 1)/9
Let p = -285/272 + 21/17. Let y(d) be the second derivative of 0*d**2 - 9/80*d**5 + p*d**4 - 5*d - 1/8*d**3 + 1/40*d**6 + 0. Factor y(z).
3*z*(z - 1)**3/4
Let p(i) be the first derivative of i**6/6 + 19*i**5/5 - 97*i**4/2 + 190*i**3 - 639*i**2/2 + 243*i + 896. Factor p(b).
(b - 3)**2*(b - 1)**2*(b + 27)
Let u(y) be the first derivative of 0*y**2 + 25 - 3/20*y**5 + 0*y - 23/3*y**3 - 5/18*y**4 - 1/108*y**6. Let l(v) be the third derivative of u(v). Factor l(h).
-2*(h + 5)*(5*h + 2)/3
Let 