*c*(c - 25)*(2*c - 5)/7
Let p be ((-27)/(-75))/((-1)/5*(-6)/38). Factor 12/5*w**4 + 51/5*w**3 + p*w + 3 + 81/5*w**2.
3*(w + 1)**3*(4*w + 5)/5
Let f(j) be the first derivative of -3*j**5/5 - 15*j**4/4 - 9*j**3 - 21*j**2/2 - 6*j + 784. Factor f(z).
-3*(z + 1)**3*(z + 2)
Let z(c) be the second derivative of c**6/15 + 5*c**5/6 + 71*c**4/27 + 100*c**3/27 + 8*c**2/3 - 15*c + 78. Solve z(k) = 0.
-6, -1, -2/3
Let r(f) = -8*f**2 + 30*f - 95. Let q(g) = -g**2 - 2. Let n(h) = -21*q(h) + 3*r(h). Find l, given that n(l) = 0.
3, 27
Factor 2/5*g**2 + 2592/5 + 144/5*g.
2*(g + 36)**2/5
Let y(k) be the third derivative of 1/160*k**5 + 0*k - k**3 + 0*k**4 + 9*k**2 - 1. Factor y(s).
3*(s - 4)*(s + 4)/8
Solve 5/4*w**2 + 415/4 + 105*w = 0 for w.
-83, -1
Let k(p) be the first derivative of 1/12*p**4 - 33 + 53/6*p**2 + 28/9*p**3 + 26/3*p. Determine o so that k(o) = 0.
-26, -1
Let b = 112335 + -112325. Factor 0 + 45/2*s**4 + 0*s - 40*s**3 - b*s**2.
5*s**2*(s - 2)*(9*s + 2)/2
Let v be -5 - (-7 + 4 + -1 + -3). Determine l, given that -53*l**2 + 35*l + 5*l**3 - 3*l + v*l - 8*l**3 + 6*l**3 = 0.
0, 2/3, 17
Suppose -s + 56 = -38*b + 40*b, -5*b - 172 = -4*s. Determine p so that -37 - 94 - 208 + 51 + s*p - 2*p**2 = 0.
12
Find l, given that 27 + 5*l**2 + 5*l**2 - 1067 + 15*l - 2*l**2 - 3*l**2 = 0.
-16, 13
Let v(h) be the third derivative of -169*h**8/2016 - 13*h**7/21 - 3*h**6/5 - 8*h**5/45 - 513*h**2. Solve v(i) = 0.
-4, -4/13, 0
Suppose -131*v + 216*v = 255. Let w(x) be the first derivative of 0*x + 0*x**v + 5/4*x**4 - 10*x**2 - 12. What is p in w(p) = 0?
-2, 0, 2
Determine f so that 11195*f - 5670*f + 10035*f - 3*f**2 - f**2 - 15132100 = 0.
1945
Let s(p) be the first derivative of -p**3/12 - 539*p**2/4 - 290521*p/4 + 2179. Factor s(d).
-(d + 539)**2/4
Let h be (-1638)/(-294) - 4/7. Find m, given that 2*m - h*m**3 + 2077*m**2 - 2057*m**2 - 7*m - 30 = 0.
-1, 2, 3
Solve -2/13*g**4 + 20/13*g**3 + 12/13*g - 56/13*g**2 + 90/13 = 0.
-1, 3, 5
Let f(m) be the second derivative of -m**6/15 - m**5/2 + m**4/2 + 13*m**3/3 - 10*m**2 + 24*m + 28. Let f(i) = 0. What is i?
-5, -2, 1
Let c(m) be the first derivative of 0*m**3 + 9/5*m**5 + 1/2*m**6 + 0*m + 3/2*m**4 - 149 + 0*m**2. Factor c(h).
3*h**3*(h + 1)*(h + 2)
Let o(j) be the first derivative of j**5/40 + j**4/4 + 5*j**3/8 - j**2/4 - 5*j/2 + 6335. Determine b, given that o(b) = 0.
-5, -2, 1
Let l(v) be the second derivative of 3/10*v**3 + 2 + 1/20*v**4 - v + 3/5*v**2. Factor l(m).
3*(m + 1)*(m + 2)/5
Let f(y) be the first derivative of -73 - 3/14*y**4 - 6*y**2 + 32/7*y + 58/21*y**3. Solve f(q) = 0.
2/3, 1, 8
Suppose -7*m + 4*m + 7 + 2 = 0. Let w(y) be the first derivative of -2/3*y + 2/9*y**m + 1/2*y**2 - 6. Factor w(h).
(h + 2)*(2*h - 1)/3
Let k(u) be the third derivative of u**8/6720 - u**7/40 + 147*u**6/80 + 133*u**5/60 + 67*u**2. Let n(t) be the third derivative of k(t). Factor n(x).
3*(x - 21)**2
Let n(z) be the second derivative of 5*z**7/42 - 13*z**6/6 + 1356*z + 1. Determine s so that n(s) = 0.
0, 13
Let s(h) be the second derivative of -5 + 9/14*h**2 - 9*h - 6/35*h**5 - 3/28*h**4 + 4/7*h**3. Factor s(q).
-3*(q - 1)*(q + 1)*(8*q + 3)/7
Suppose -2 = t + 2*i - 0, -5*t - 4*i + 20 = 0. Let u be ((-1)/2)/(8*t/(-256)). Factor 1/3*a**u - 2/3*a + 1/3.
(a - 1)**2/3
Let i = 70 + -8. Suppose 5*u = 4*w - 313 - i, -5*u = 4*w - 385. Find j such that 15*j - w*j**3 - 13*j**2 + 92*j**3 + j**2 = 0.
-5, 0, 1
Let t = 343 - 317. Find z, given that 7*z**3 + 6*z**5 + 3*z**5 - 4*z**5 - 42*z**3 + t*z**2 + 4*z**2 = 0.
-3, 0, 1, 2
Suppose 146*g - 1768*g**2 - 1780*g**2 + 3550*g**2 = 0. What is g?
-73, 0
Let r be 84/315*80/288. Let l(m) be the third derivative of 0*m**3 + 5/108*m**6 + 0*m + 0 - r*m**5 - 3*m**2 + 1/27*m**4. Factor l(h).
2*h*(5*h - 2)**2/9
Let x(c) be the second derivative of 5*c**4/72 + 315*c**3 + 535815*c**2 + 4608*c. Solve x(f) = 0 for f.
-1134
Let c(k) be the second derivative of 1/28*k**4 - 2/7*k**3 + 2*k - 4 - 15/14*k**2. Determine r so that c(r) = 0.
-1, 5
Let k be (-31)/62 - 7/(-42)*15. Determine l so that 5/6*l - 1/6*l**k + 7/3 = 0.
-2, 7
Let d be ((-38 + 35)*5)/(-5). Determine k so that 7/5*k**2 + 6/5*k - 3/5*k**d - 3/5*k**4 + 0 + 1/5*k**5 = 0.
-1, 0, 2, 3
Let b(t) be the first derivative of t**5 - 5*t**4/4 - 50*t**3 - 1228. Find x such that b(x) = 0.
-5, 0, 6
Let d(s) = 5*s**2 - 55*s - 40. Let j be d(12). Suppose o - 8 = -3*c - 23, 4*c + j = -o. Solve -9*r**2 + 6*r**4 - 3/2*r**3 - 3/2*r**5 + o + 0*r = 0.
-1, 0, 2, 3
Let l(s) = s**3 - 12*s**2 + 7*s + 46. Let u be l(11). Suppose 46*y**u + 33*y + 15*y**3 - 12*y**4 + 8*y**2 - 6*y = 0. What is y?
-1, -3/4, 0, 3
Let w(o) be the first derivative of 7*o**6/180 - 3*o**5/40 + o**4/36 + 56*o + 62. Let d(b) be the first derivative of w(b). Find f, given that d(f) = 0.
0, 2/7, 1
Suppose -26 - 753*c - 14*c**4 - 64*c**3 + 729*c + 26 - 74*c**2 = 0. What is c?
-3, -1, -4/7, 0
Suppose -14/9*b**3 + 52/9 - 208/9*b**2 - 334/9*b = 0. What is b?
-13, -2, 1/7
Let b = -22/585 + 4312/585. Let 8 + 40/3*j + 4/3*j**3 + b*j**2 = 0. Calculate j.
-2, -3/2
Factor -54/11*n + 120/11 + 6/11*n**2.
6*(n - 5)*(n - 4)/11
Solve 1372*o - 1264/3 + 360*o**2 - 7/3*o**3 = 0 for o.
-4, 2/7, 158
Let s(z) = 201*z**2 + 494*z + 2969. Let j(k) = -126*k**2 - 329*k - 1979. Let q(t) = -8*j(t) - 5*s(t). Determine i so that q(i) = 0.
-47, -7
Let p(t) be the third derivative of t**6/780 - 4*t**5/39 + 3*t**4 - 432*t**3/13 - 3953*t**2. Find f such that p(f) = 0.
4, 18
Suppose 4*a - 28 = -w, -3*a + 0*w = 5*w - 4. Let b be 2/a - 348/(-16). Factor 5*y - y**2 - 2*y**4 + b*y**4 - 14*y**2.
5*y*(y + 1)*(2*y - 1)**2
Let v = -499 + 501. Factor -240*r**v + 103823 - r**3 + 105*r**2 - 6627*r + 276*r**2.
-(r - 47)**3
Let f be (3 + (-6)/2)/(-3 + 2). Suppose n - 2 - 2 = f. Factor 0*k**2 + 0*k**2 + 2 - 9*k + n + 3*k**2.
3*(k - 2)*(k - 1)
Let a(g) be the first derivative of 2*g**6/3 + 32*g**5/5 - 3*g**4 - 120*g**3 + 397. Factor a(w).
4*w**2*(w - 3)*(w + 5)*(w + 6)
Solve 610*j**4 - 1101*j - 4106*j**3 - 376*j**5 + 230*j**4 + 3243*j**2 + 117 + 1055*j**3 + 328*j**5 = 0.
1/4, 1, 3, 13
Let h(a) be the first derivative of -a**8/560 + a**6/40 + a**5/20 - 41*a**3/3 + 3*a**2/2 + 123. Let k(l) be the third derivative of h(l). Solve k(y) = 0.
-1, 0, 2
Let v = -150121 - -150151. Suppose 1/2*u**4 - 5*u**3 - v*u + 37/2*u**2 + 18 = 0. Calculate u.
2, 3
Let h(j) be the third derivative of -j**7/945 + j**6/60 - 11*j**5/270 - 7*j**4/36 + 2*j**2 - 33*j. Determine d so that h(d) = 0.
-1, 0, 3, 7
Let c = -147 + 149. Factor -522 + 78 + 44*x - 40 - x**c.
-(x - 22)**2
Let f(o) be the first derivative of -2*o**6/3 - 44*o**5/5 - 14*o**4 + 152*o**3/3 + 30*o**2 - 108*o + 1725. Determine b, given that f(b) = 0.
-9, -3, -1, 1
Suppose -25 = -5*o - 0. Suppose 2*g + 5 = -2*l - o, 4*l + 20 = 0. Solve g*v**3 - 87 + 2*v**3 + 95 + 4*v**2 - 14*v = 0 for v.
-4, 1
Let z = 4786/13 + -33463/91. Let d(v) = -v**2 + v. Let n be d(0). Factor 0 - 3/7*o**4 + n*o**3 + 0*o + z*o**2.
-3*o**2*(o - 1)*(o + 1)/7
Let m be (-2)/9 - (-13)/((-117)/(-164)). Let b be (70/(-90) - 4/m)*-6. Let 231 - b*h**2 + 9*h**2 - 9*h - 231 = 0. Calculate h.
0, 3
Determine w, given that -40*w**3 - 204 + 5*w**3 - 3*w**3 + 96*w**2 - 6*w**3 + 76 + 16*w + 4*w**4 = 0.
-1, 2, 8
Let y be 0 + 10/3 - -54*103/(-1854). Suppose 1/3*n**2 - n**3 + n - 2/3 + y*n**4 = 0. What is n?
-1, 1, 2
Let u(o) be the first derivative of -3*o**4/20 - 56*o**3/5 - 33*o**2/2 + 977. Let u(l) = 0. Calculate l.
-55, -1, 0
Let q = 9 - 6. Factor q*v**4 + 28*v**3 + 32*v + 56*v**2 + v**4 + 0*v**4.
4*v*(v + 1)*(v + 2)*(v + 4)
Let r = 9029 + -9025. Let a(x) be the second derivative of 10/3*x**3 + x**5 + 5/2*x**2 + 5/2*x**r + 0 + 9*x + 1/6*x**6. Suppose a(w) = 0. What is w?
-1
Let f(m) be the first derivative of 4*m**5/5 + 36*m**4 - 152*m**3 + 232*m**2 - 156*m - 2582. Factor f(y).
4*(y - 1)**3*(y + 39)
Let u be (30/(-5))/((-9)/((-45)/(-10))). Let y(z) = z**2 + 455*z + 6307. Let q(f) = f**2 + 227*f + 3151. Let d(p) = u*y(p) - 7*q(p). Factor d(c).
-4*(c + 28)**2
Let q(r) be the third derivative of 0*r - 1/90*r**6 - 1 + 4/5*r**5 - 2*r**2 + 384*r**3 - 24*r**4. Let q(n) = 0. What is n?
12
Let 96/17*f + 284/17*f**2 + 0 - 6/17*f**4 - 14/17*f**3 = 0. What is f?
-8, -1/3, 0, 6
Let y(p) = 3*p**3 + 742*p**2 - 740*p. Let d(r) = -r**3 - 372*r**2 + 371*r. Let c(l) = 5*d(l) + 2*y(l)