2, -1, 2
Let j be (4 + (-26)/6)*(4/(-10) + 13869/(-4140)). Factor -3/2*a**2 - 3/8 + 3/4*a**3 + j*a - 1/8*a**4.
-(a - 3)*(a - 1)**3/8
Let o(p) be the third derivative of -p**6/200 + 98*p**5/25 + 198*p**4/5 - 3882*p**2 - p. Factor o(l).
-3*l*(l - 396)*(l + 4)/5
Let v(c) = -c**2 + 28*c - 109. Let l(m) = -1 + 3 + 339*m - 338*m. Let u(w) = -6*l(w) + v(w). Factor u(a).
-(a - 11)**2
Let m = -369 + 498. Let a be m/18*16 + -2. Factor 52/3*x + 2/3 + a*x**2.
2*(13*x + 1)**2/3
Let a(y) = 7*y**2 - 559*y - 606. Let g(q) = -6*q**2 + 562*q + 600. Let j(f) = -4*a(f) - 5*g(f). Factor j(i).
2*(i - 288)*(i + 1)
Let w be (6/(12/(-11)) - -5)*-4. Factor 3*p**4 + 21*p**3 - 9*p**2 + 6 + 3*p - 10*p**3 - 12*p**3 - w*p**3.
3*(p - 2)*(p - 1)*(p + 1)**2
Let c(y) be the second derivative of -y**6/380 - 7*y**5/1140 - 35*y**3/6 - y**2/2 + 187*y. Let l(v) be the second derivative of c(v). Let l(w) = 0. Calculate w.
-7/9, 0
Let x(r) = -r**2 + 17*r - 36. Let t be x(14). Let i be ((-4)/3)/(1 + (-8)/t). Suppose -89*m**i + 87*m**4 + 2*m**3 + 2*m**2 - 2*m + 0*m**2 = 0. What is m?
-1, 0, 1
Suppose 4*v - 13 - 3 = 0. Suppose 5*m + 19 = -v*r + 50, 0 = m + 4*r - 19. Factor m*q + q**2 - 5*q + 5*q.
q*(q + 3)
Factor 60840*q**2 + 5*q**5 + 4485*q**3 + 125294*q - 125294*q - 350*q**4.
5*q**2*(q - 39)**2*(q + 8)
Let o(v) = -v**2 - 8*v - 12. Let i be o(-2). Solve i + 2/9*n**4 + 2/9*n**2 - 4/9*n**3 + 0*n = 0 for n.
0, 1
Let t be ((-5)/2)/(2/32*-20). Factor 34*k + 13*k + 0*k**2 + 3*k**t + 13*k.
3*k*(k + 20)
Let n = -9117/2 + 4559. Let r(p) be the first derivative of -1/9*p**3 - 24 + 1/15*p**5 + n*p**2 - 1/4*p**4 + 0*p. What is w in r(w) = 0?
-1, 0, 1, 3
Let w(h) be the first derivative of -5*h**4/4 + 500*h**3 + 4935. Factor w(j).
-5*j**2*(j - 300)
Suppose 0 = 6*g - 132 + 120. Determine z, given that -14 + 29*z**2 + 21*z - 5*z - 29*z**2 - g*z**2 = 0.
1, 7
Let u(n) be the second derivative of n**4/48 + 27*n**3/8 + 24*n + 13. Factor u(f).
f*(f + 81)/4
Suppose 61*p = 58*p + 114. Factor 93*g**3 - 2*g**2 + 16*g - p*g**2 - 97*g**3 - 4*g**5 + 32 + 16*g**4.
-4*(g - 2)**3*(g + 1)**2
Let u(x) be the third derivative of -3/40*x**4 - 3*x**2 + 0 + 14*x + 0*x**3 + 1/50*x**5 + 1/200*x**6. Find o such that u(o) = 0.
-3, 0, 1
Let q(u) be the first derivative of -u**3/15 + 231*u**2/10 + 232*u/5 + 1715. Factor q(l).
-(l - 232)*(l + 1)/5
Factor -16/5*p**3 - 141/10*p**2 - 54/5*p + 0 + 1/10*p**4.
p*(p - 36)*(p + 1)*(p + 3)/10
Determine a so that 16/7*a**3 + 2/7*a**4 - 160/7*a - 150/7 + 4/7*a**2 = 0.
-5, -1, 3
Factor 2/3*c**2 - 172 - 514/3*c.
2*(c - 258)*(c + 1)/3
Let g(w) be the second derivative of -122*w + 6962*w**2 + 236/3*w**3 + 1/3*w**4 + 0. Factor g(b).
4*(b + 59)**2
Let c(v) be the second derivative of 1/15*v**6 + 22 + 0*v**2 - 1/6*v**4 - 1/10*v**5 + 0*v**3 - v + 1/21*v**7. Determine w so that c(w) = 0.
-1, 0, 1
Let n(q) be the first derivative of -3*q**4/14 + 26*q**3/21 - 16*q**2/7 + 8*q/7 - 1345. Factor n(s).
-2*(s - 2)**2*(3*s - 1)/7
Let v be ((-10)/36)/((-880)/528). Let p(z) be the second derivative of 3*z + 0*z**4 + 0 + v*z**3 - 1/20*z**5 + 0*z**2. Find d, given that p(d) = 0.
-1, 0, 1
Let y(d) = -15*d**4 + 318*d**3 + 14949*d**2 + 269058*d + 1732728. Let i(o) = o**4 + 2*o**3 + 3*o**2 - o + 4. Let z(g) = 18*i(g) + y(g). Factor z(t).
3*(t + 19)**2*(t + 40)**2
Let i(d) = -d**2 + 6*d - 7. Let c be i(3). Let o(v) = -v**2 + 17. Let u be o(4). Determine f so that -5 - 6*f - 4*f**c - 8*f + 12*f**2 + u = 0.
-1/4, 2
Solve -41*f**2 + 46 - 12 + 252*f + 98 + 381*f**4 - 375*f**4 - 16*f**2 - 63*f**3 = 0 for f.
-2, -1/2, 2, 11
Let n(j) be the first derivative of -11*j**3/12 + 691*j**2/8 + 63*j/2 + 1275. Factor n(s).
-(s - 63)*(11*s + 2)/4
Factor q - 1/3*q**4 + 2/3 - 1/3*q**2 - q**3.
-(q - 1)*(q + 1)**2*(q + 2)/3
Factor 72*d - 3/2*d**3 + 0 + 12*d**2.
-3*d*(d - 12)*(d + 4)/2
Let z(j) be the first derivative of 2*j**4/17 + 42*j**3/17 - 16*j**2/17 - 1649. Solve z(c) = 0 for c.
-16, 0, 1/4
Let k(h) be the second derivative of 5*h**4/12 + 115*h**3/2 + 335*h**2 + 3*h - 84. Factor k(g).
5*(g + 2)*(g + 67)
Suppose 417*b = 504*b - 435. Let q(k) be the first derivative of -18 - 5/18*k**2 - 1/3*k**3 + 0*k - 1/12*k**4 + 1/45*k**b. Solve q(m) = 0.
-1, 0, 5
Let y be 49/(-21) + 4 + -1. Let l(k) be the first derivative of 2 + 1/3*k**4 + 0*k**3 + 2/3*k - 2/15*k**5 - y*k**2. Solve l(t) = 0 for t.
-1, 1
Let o(q) be the third derivative of q**8/2016 - 4*q**7/315 + 23*q**6/240 - 3*q**5/20 + 2*q**2 - q + 86. Factor o(c).
c**2*(c - 9)*(c - 6)*(c - 1)/6
Find c, given that -99/7*c**5 - 96/7*c + 45*c**3 - 36/7 + 135/7*c**2 + 3*c**4 = 0.
-1, -1/3, 6/11, 2
Let k(v) be the second derivative of v**4/102 + 9*v**3/17 + 92*v**2/17 - 26*v + 25. Find r such that k(r) = 0.
-23, -4
Let w be (4/((-32)/2868))/(-9) - 4. Let m = 661/18 - w. Find v, given that -2/9*v**2 - 8/9*v - m = 0.
-2
Factor 51*w - 876*w**3 + 4 + 873*w**3 + 23 + 21*w**2.
-3*(w - 9)*(w + 1)**2
Find p such that -107/2*p + 53 + 1/2*p**2 = 0.
1, 106
Let l be (-2268)/126 + 23/1. Let d(x) be the first derivative of -21 + 1/9*x**3 + 1/6*x**4 + 0*x + 1/15*x**l + 0*x**2. What is k in d(k) = 0?
-1, 0
Let i(w) be the third derivative of -w**10/37800 - w**9/3024 - w**8/840 + w**5/20 + 5*w**4/24 - 13*w**2. Let k(v) be the third derivative of i(v). Factor k(y).
-4*y**2*(y + 2)*(y + 3)
Suppose -2*f - 2*k = -192, -2*k + 13 = -4*f + 367. Solve -f*y + 981*y**2 - 75 - 986*y**2 + 11*y = 0 for y.
-15, -1
Factor -26*t**3 + 35*t**2 - 24*t**3 - 16*t**3 - 126*t + 90*t**3 + 136 - 27*t**3.
-(t - 4)*(t - 2)*(3*t - 17)
Let l = 4555 - 4553. Let b(j) be the first derivative of l + 0*j**2 - 2/3*j**3 + 2*j. Determine z so that b(z) = 0.
-1, 1
Factor 4/3*t**2 + 1048/3*t + 1036.
4*(t + 3)*(t + 259)/3
Let b(q) be the second derivative of -1/2*q**3 + 2/9*q**4 + 0*q**2 + 1/60*q**5 + 3*q - 4. Solve b(r) = 0.
-9, 0, 1
Let g(a) be the third derivative of -a**7/105 + 17*a**6/60 + 27*a**5/10 + 21*a**4/4 - 30*a**2 + 2*a. Determine m so that g(m) = 0.
-3, -1, 0, 21
Let b(d) be the third derivative of -1/960*d**6 + 0 + 11/6*d**3 + 1/32*d**4 + 0*d + 7*d**2 + 1/320*d**5. Let k(y) be the first derivative of b(y). Factor k(m).
-3*(m - 2)*(m + 1)/8
Let x(z) = 2*z**2 - 250*z + 3614. Let u(p) = -4*p**2 + 249*p - 3614. Let r(j) = 2*u(j) + 3*x(j). What is v in r(v) = 0?
-139, 13
Let b(s) be the third derivative of s**7/70 - 27*s**6/40 - 29*s**5/20 + 27*s**4/8 + 14*s**3 - s**2 - 1239*s. Factor b(g).
3*(g - 28)*(g - 1)*(g + 1)**2
Let a be (-14)/70 + (-18)/(-40). Suppose 26*i - 10 = 25*i + y, 3*i + 4*y = -26. Factor 1/4*d**i - a*d + 0.
d*(d - 1)/4
Let r(c) = -c**2 - 12*c + 17. Let i be r(-13). Determine a so that 4*a**i - 2*a**3 + 2*a**3 - 3*a**3 - 7*a**3 - 2*a**3 = 0.
0, 3
Let p(k) = 6*k**3 - 226*k**2 + 418*k + 858. Let n(q) = 2*q**3 - 75*q**2 + 139*q + 294. Let d(t) = 8*n(t) - 3*p(t). Factor d(m).
-2*(m - 37)*(m - 3)*(m + 1)
Let m = 6868772/7 - 981230. Find f, given that 24/7 - 180/7*f - m*f**4 + 141/7*f**3 + 39/7*f**5 + 138/7*f**2 = 0.
-1, 2/13, 1, 2
Let b(v) be the second derivative of v**5/45 + 394*v**4/9 + 310472*v**3/9 + 122325968*v**2/9 + 21*v + 16. Factor b(t).
4*(t + 394)**3/9
Factor -115663*u**4 - 135*u + 1 + 115668*u**4 - 1 - 65*u**3 + 0 + 195*u**2.
5*u*(u - 9)*(u - 3)*(u - 1)
What is l in -4 - 7/4*l + 1/8*l**2 = 0?
-2, 16
Let x be (-5891)/(-1644) - (2/(-24))/(32/(-96)). Factor 2/3*s**2 + 8/3 - x*s.
2*(s - 4)*(s - 1)/3
Let a(b) be the third derivative of -5*b**7/112 + b**6/16 - 9*b**5/320 + 8*b**3 + b**2 + 4*b. Let v(n) be the first derivative of a(n). Solve v(f) = 0.
0, 3/10
Let r(c) be the third derivative of -c**8/336 + c**7/210 + c**6/8 - 5*c**5/12 - 7*c**4/12 + 4*c**3 + 524*c**2. Determine w so that r(w) = 0.
-4, -1, 1, 2, 3
Let q = -853 + 863. Suppose -2*c - q = -7*c. Factor -6/11*i**c + 12/11*i**3 + 0*i + 18/11*i**4 + 0.
6*i**2*(i + 1)*(3*i - 1)/11
Suppose -40*k = 343 + 57. Let m be k/(-155) - (-276)/1488. Factor -m*z**3 + 3/4*z**2 + 0 - 1/2*z.
-z*(z - 2)*(z - 1)/4
Let o be ((-266)/14 + 20)*6. Let f(x) be the third derivative of -1/15*x**5 - 1/120*x**o - 33*x**2 + 2/3*x**3 + 1/24*x**4 + 0 + 0*x. Factor f(c).
-(c - 1)*(c + 1)*(c + 4)
Let k be 6 - (6 - -3*(-4)/48). Let w(d) be the second derivative of -3/2*d**3 - 8*d + 3*d**2 + k*d**4 + 0. Factor w(q).
3*(q - 2)*(q - 1)
Solve -325*s**2 - 6225*s + 16*s**3 - 11*s**3 + 5560*s - 335 =