p) = 94*p - 543. Let w be r(6). Let j be (((-144)/(-30))/8)/(w/28). What is q in 4/5*q - 8/5*q**3 + 1/5 + 1/5*q**4 - 2/5*q**2 + j*q**5 = 0?
-1, -1/4, 1
Suppose -14*o + 156 = 100. Let f(t) be the second derivative of -4/9*t**2 + 14*t + 0 - 1/54*t**o + 4/27*t**3. Factor f(v).
-2*(v - 2)**2/9
Let y(g) be the first derivative of 0*g + 130 + 0*g**2 - 3*g**4 + 3/5*g**5 + 3*g**3. Let y(c) = 0. What is c?
0, 1, 3
Suppose -400*v = -389*v - 165. Let p(d) be the first derivative of -5/3*d**3 + 20 + v*d - 5*d**2. Factor p(m).
-5*(m - 1)*(m + 3)
Let r(t) be the third derivative of t**7/490 - 37*t**6/140 - 11*t**5/20 + 75*t**4/28 - 39*t**2 + 17. Factor r(b).
3*b*(b - 75)*(b - 1)*(b + 2)/7
Suppose -54 = 6*a - 12*a. Determine c so that -c**5 - a*c**4 - 6*c**3 + 14*c + 6*c**2 + 6*c - 2*c**5 - 11*c + 3 = 0.
-1, 1
Let t(p) be the second derivative of 1/8*p**4 - 1/10*p**5 + 0 - 11*p**2 - 1/40*p**6 - 9*p + p**3. Let k(a) be the first derivative of t(a). Factor k(w).
-3*(w - 1)*(w + 1)*(w + 2)
Let i(d) be the third derivative of -5*d**8/336 - 19*d**7/42 - 3*d**6/4 + 1282*d**2. Factor i(r).
-5*r**3*(r + 1)*(r + 18)
Let a(w) be the first derivative of -w**5/20 + 5*w**4/4 + 3*w**2/2 - 9*w + 41. Let p(m) be the second derivative of a(m). Factor p(z).
-3*z*(z - 10)
Let w(g) be the first derivative of -5*g**6/6 + 23*g**5/5 - 15*g**4/2 + 4*g**3/3 + 4*g**2 + 1448. Suppose w(u) = 0. What is u?
-2/5, 0, 1, 2
Factor -11/4*o - 1/8*o**2 - 57/8.
-(o + 3)*(o + 19)/8
Solve -57/2*x**2 + 9/2*x**4 + 1/2*x**5 + 62*x - 30 - 17/2*x**3 = 0.
-10, -3, 1, 2
Let z(v) be the third derivative of v**5/150 + v**4/5 + 32*v**3/15 + 26*v**2 - 21*v. Solve z(t) = 0 for t.
-8, -4
Let r(k) = -4*k**2 + 2344*k. Let a(y) = y**2 - 475*y. Let i(p) = -16*a(p) - 3*r(p). Factor i(t).
-4*t*(t - 142)
Let r(s) be the first derivative of -s**3/6 - s**2 + 48*s + 362. Factor r(a).
-(a - 8)*(a + 12)/2
What is c in -198*c + 96*c**2 - 96 + 91*c + c**3 + 106*c = 0?
-96, -1, 1
Let y be (-4)/(-3)*30/20. Let n = 4106/5145 + 2/1029. Determine x so that 1/5*x**y + n + 4/5*x = 0.
-2
Let p be 132/(4 - (7 + -4)). Let m be (p/14 - 9) + (-11)/(-7). Factor 0*t - 2/21*t**m + 0 - 2/21*t**3.
-2*t**2*(t + 1)/21
Let q be (-12181)/3748 + 7/2. What is j in 5/2*j - 2 - q*j**2 - 1/4*j**3 = 0?
-4, 1, 2
Let d(k) be the third derivative of 0 + 28*k + 0*k**5 - 1/36*k**4 + 1/720*k**6 - 2*k**2 + 0*k**3. Determine y, given that d(y) = 0.
-2, 0, 2
Let n = 1 + 24. Let d be 2*2/(-6)*-18. Factor 7 - n*v**2 - d + 15 + 15*v.
-5*(v - 1)*(5*v + 2)
Suppose 4960*v = 4884*v. Let a = -32/45 + 64/15. Determine z, given that 0 + v*z - a*z**2 + 104/9*z**3 - 64/9*z**4 + 10/9*z**5 = 0.
0, 2/5, 2, 4
Let a(w) = -w**2 - w - 1. Let m(s) = -5*s**2 + 29*s - 3. Let d be (-2)/(-13) + (-304)/(-52). Let h be 3*d/27*-15. Let y(k) = h*a(k) - 2*m(k). Factor y(f).
4*(f - 2)*(5*f - 2)
Let t(o) be the third derivative of -1/180*o**6 + 0 + 0*o + 88*o**2 - 205/4*o**4 + 44/45*o**5 - 450*o**3. Suppose t(m) = 0. What is m?
-2, 45
Suppose 0 = 1770*u - 1775*u - 20, 0 = 3*d + u - 5. Factor -9*l**d - 1/2*l**4 + 0 - 33/2*l**2 - 8*l.
-l*(l + 1)**2*(l + 16)/2
Suppose -4*r - 32 = -5*c - 0, -3*r = -5*c + 29. Suppose z + c - 7 = 0. Factor 3*m**4 - 8*m + 0*m - 4 + 8*m**z + m**4.
4*(m - 1)*(m + 1)**3
Let j(w) be the first derivative of 4/9*w**3 + 17 - 19*w + 4/3*w**2 - 1/6*w**4 + 1/45*w**6 - 1/15*w**5. Let u(s) be the first derivative of j(s). Factor u(i).
2*(i - 2)**2*(i + 1)**2/3
Let u(s) be the third derivative of -s**6/24 - 7*s**5/12 + 935*s**4/8 + 945*s**3/2 - 203*s**2 - 13*s. Factor u(p).
-5*(p - 21)*(p + 1)*(p + 27)
Let 76/5*z**3 - 45 - 1/5*z**4 - 14*z**2 - 372/5*z = 0. What is z?
-1, 3, 75
Let o(f) be the third derivative of -f**5/330 + 9*f**4/44 - 140*f**3/33 - 4024*f**2. Factor o(c).
-2*(c - 20)*(c - 7)/11
Let w(x) be the second derivative of x**5/60 - x**4/12 - 5*x**3/2 - 49*x**2 - 43*x. Let q(g) be the first derivative of w(g). Factor q(h).
(h - 5)*(h + 3)
Let k be 70 - 52 - ((-11310)/(-50))/13. Suppose 16 - k*b**2 - 1/5*b**3 + 24/5*b = 0. What is b?
-4, 5
Let f = 68967/49280 + 5/9856. Let v(j) be the second derivative of 0 + 0*j**2 + 15*j + 0*j**3 + 2/3*j**4 - f*j**5. Factor v(i).
-4*i**2*(7*i - 2)
Let c = 585 + -582. Let -15*z**5 + 10*z**4 - 575*z - 571*z + 98*z**3 + 20*z**2 + 7*z**c + 1086*z = 0. Calculate z.
-2, -1, 0, 2/3, 3
Let z(r) be the second derivative of -r**6/180 - 11*r**5/20 + 23*r**4/8 - r**3/9 - 23*r**2 - 2251*r. Factor z(g).
-(g - 2)**2*(g + 1)*(g + 69)/6
Let w(t) be the second derivative of -3*t**5/40 + 75*t**4/8 - 37*t**3/2 - 2*t - 747. Factor w(y).
-3*y*(y - 74)*(y - 1)/2
Let a(g) be the first derivative of -2*g**7/105 + 7*g**6/30 + g**5/15 - 7*g**4/6 - 137*g**2 - 42. Let y(m) be the second derivative of a(m). Factor y(v).
-4*v*(v - 7)*(v - 1)*(v + 1)
Factor 8*u**2 + 22*u + 10*u**2 + 0*u**4 - 22*u**3 - 1 - 19 + 0*u**4 + 2*u**4.
2*(u - 10)*(u - 1)**2*(u + 1)
Let c be ((-2)/9 + (-75)/27)*-1. Factor -7*j**3 + 33*j + j**4 + j**3 + j**c + 11*j**2 + 0*j**4 - 2*j**4 + 18.
-(j - 3)*(j + 1)**2*(j + 6)
Let k = 15/8 + 83/24. Let c be (15 - (-2438)/(-161))/(1/7)*-5. Suppose 4/3*r**4 - 20/3*r**2 + 2/3*r**c + 8/3*r - 10/3*r**3 + k = 0. What is r?
-2, -1, 1, 2
Let h(t) be the second derivative of t**9/10584 - t**8/1176 + t**7/420 - t**6/420 - 23*t**3 + 2*t + 16. Let c(z) be the second derivative of h(z). Factor c(n).
2*n**2*(n - 3)*(n - 1)**2/7
Let y(t) be the third derivative of -t**6/1080 - 13*t**5/108 - 703*t**4/216 + 1369*t**3/6 + 3480*t**2. Let y(q) = 0. Calculate q.
-37, 9
Let w(r) = -r**2 + 54*r + 236. Let z be w(-4). Factor 0*g + 1/2*g**2 + 0 + 1/4*g**z - 7/8*g**3 + 1/8*g**5.
g**2*(g - 1)**2*(g + 4)/8
Let 1557*n + 1480*n + 93*n**2 - 23*n**2 + 26*n**4 + 205*n**3 + 520 - 3777*n - 5*n**5 - 76*n**4 = 0. Calculate n.
-13, -2, 1, 2
Let w(q) be the second derivative of 4/5*q**2 - 1/10*q**5 + 5 + 1/5*q**3 - 1/5*q**4 - 2*q. Suppose w(r) = 0. Calculate r.
-1, 4/5
Suppose 18/5 - 3/5*l**2 + 3*l = 0. Calculate l.
-1, 6
Factor -2/3*a**2 - 550/3 + 40*a.
-2*(a - 55)*(a - 5)/3
Let g(u) be the third derivative of u**7/70 - 21*u**6/8 - 321*u**5/20 - 323*u**4/8 - 54*u**3 - 595*u**2. Factor g(x).
3*(x - 108)*(x + 1)**3
Let b(a) be the third derivative of -a**8/3192 - 2*a**7/1995 + a**6/285 + 4*a**5/285 - 37*a**2 + 19. Factor b(o).
-2*o**2*(o - 2)*(o + 2)**2/19
Let t(a) be the second derivative of 0*a**3 - 50*a + 0*a**2 + 0 + 2/3*a**4 + 1/5*a**5 - 1/15*a**6 - 1/42*a**7. Suppose t(c) = 0. Calculate c.
-2, 0, 2
Let c(f) be the first derivative of -2*f**3/3 + 69*f**2 - 136*f - 479. Suppose c(a) = 0. Calculate a.
1, 68
Suppose -6 = 54*l - 56*l. Factor -31*j**2 + 6*j**2 - 2*j**l + 8*j**3 + 2*j**3 - 3*j**3.
5*j**2*(j - 5)
Let a = -317 + 336. Suppose -a*m + 255 = 32*m. Factor 0 - 1/4*k**4 + 3/8*k**3 - 1/2*k + 1/2*k**2 - 1/8*k**m.
-k*(k - 1)**2*(k + 2)**2/8
Suppose -4/3*j**4 + 464/3*j**3 + 476*j**2 - 1904/3 + 16/3*j = 0. Calculate j.
-2, 1, 119
Suppose -548*j**2 + 58*j**3 + 1244*j - 101*j**2 + 8748 - 129*j**2 + 1024*j - j**4 - 155*j**2 = 0. Calculate j.
-2, 6, 27
Let l be 1 + -2 - (0 - 5 - -2). Factor 428*k**3 - 430*k**3 + 3*k - 24*k**l + 23*k.
-2*k*(k - 1)*(k + 13)
Let r = 21 - 9. Let i(f) = -4*f + 50. Let t be i(r). Suppose -4*k**3 + 26*k**3 + 9*k**4 - 3 + 18*k**t + 2*k**3 = 0. What is k?
-1, 1/3
Let v(a) = -10*a**2 + 27 - 517*a + 273*a + 262*a + a**3. Let j be v(7). Factor 3/4*t**2 - j*t + 21/4.
3*(t - 7)*(t - 1)/4
Let u be 7 - 0 - 4*(-6)/(-6). Suppose u*x - 4*w = -x + 8, 2*x - 8 = -2*w. Suppose -4*m**4 - 16*m**3 - 71*m**4 + 6*m**x = 0. What is m?
-2/15, 0
Let k be (3 - 7/14)/(230/276). Factor 0 - 1/5*l**2 + 1/10*l + 1/10*l**k.
l*(l - 1)**2/10
Let l = 542607/1085216 - -1/1085216. Factor -53/8*w**2 - 27/2*w - l.
-(w + 2)*(53*w + 2)/8
Let l be 1/(-13)*((-150)/(-45))/((-40)/24). Factor l*o**3 - 88/13*o**2 - 2/13*o + 88/13.
2*(o - 44)*(o - 1)*(o + 1)/13
Suppose t - 2*g - 10 + 4 = 0, 4*t - 2*g - 18 = 0. Factor 170*y**3 - 37*y - 41*y + 384*y**2 - 18*y + 40*y**3 + 27*y**t.
3*y*(y + 4)**2*(9*y - 2)
Let p = 1444 - 1441. Let t(c) be the first derivative of -12*c**2 + 51/2*c**4 + 17 + 0*c + 567/5*c**5 - 49*c**6 - 36*c**p. Solve t(w) = 0.
-2/7, 0, 1/2, 2
Let h(a) = 4*a**2 + 4*a - 2. Let b be h(-2). Let w be b/4*(10 - 8). Factor -w*d**4 + 6*d**2 - 77*d**3 - d**5 + 87*d**3 - d**5 + 5*d**4.
-2*d**2*(d - 3)*