 3)/7
Let y(j) be the third derivative of 2*j - 5*j**2 + 0 - 1/1008*j**8 - 1/630*j**7 + 1/36*j**5 + 0*j**3 + 1/36*j**4 + 1/120*j**6. Solve y(b) = 0 for b.
-1, 0, 2
Let h(l) be the third derivative of l**6/360 - 7*l**5/120 - l**4/3 - 5*l**3/3 + 3*l**2. Let o(u) be the first derivative of h(u). Find d such that o(d) = 0.
-1, 8
Let n be (1 + 8/(-6))*(-3 - 6). Let -56*m**3 - 1 + n + 3*m**4 - 13*m + 12*m**4 + 57*m**2 + m**4 - 6*m = 0. Calculate m.
1/4, 1, 2
Factor 112225/4 + 1/4*f**3 + 671/4*f**2 + 112895/4*f.
(f + 1)*(f + 335)**2/4
Let f = -238/3 + 80. Let r = -151/15 - -57/5. What is t in 2*t**2 - r*t + 0 - f*t**3 = 0?
0, 1, 2
Let v be ((22 - 22)/(5 - 0))/(-2). Let -1/3*k**4 + 0 + v*k**2 + 5/3*k**3 + 0*k = 0. What is k?
0, 5
Suppose 28*i + 20*i = 75*i. Let r(q) be the first derivative of -q**2 + 1/4*q**4 + 19 + i*q + 1/6*q**6 - q**3 + 3/5*q**5. Determine c so that r(c) = 0.
-2, -1, 0, 1
Suppose 0 = 4*c - 5*t - 57, -443 = 4*c - t - 464. Factor 18/5*k**2 + 48/5*k + 8 + 2/5*k**c.
2*(k + 2)**2*(k + 5)/5
Let k be (-4)/(-6)*(-15)/(-2). Suppose 5*w + 15 = 4*x, -2*x - 15 = -0*x + k*w. Factor 0 + 0*r**3 - 2/15*r**5 + 0*r**4 + x*r + 0*r**2.
-2*r**5/15
Let f(k) = k**2 + 23*k + 25. Let s be f(-22). What is u in -60 - 33*u - 2*u**2 + 21*u + 7*u**2 - s*u - 40*u = 0?
-1, 12
Let j(q) be the third derivative of q**7/105 - 39*q**6/10 + 13921*q**5/30 - 2262*q**4 + 13456*q**3/3 - 3445*q**2. Determine i, given that j(i) = 0.
1, 116
Let w = -57643/9 - -6405. Let f(r) be the second derivative of 1/60*r**5 + 0*r**2 + 7*r + 0 + w*r**3 - 1/9*r**4. Factor f(t).
t*(t - 2)**2/3
Let p(d) be the third derivative of d**6/240 + d**5/24 + 7*d**4/48 + d**3/4 - 1039*d**2. Factor p(u).
(u + 1)**2*(u + 3)/2
Let s(z) = 2*z**3 + 14*z**2 - 2*z + 1. Let y be s(-6). Let x = y + -83. Determine k so that 4*k - 2 + 14 + 6*k - 2*k**x - 8*k = 0.
-2, 3
Let r(t) be the third derivative of -3/14*t**4 - t**2 - 4*t - 4/7*t**3 - 1/280*t**6 + 0 - 3/70*t**5. Let r(l) = 0. What is l?
-2
Let b(j) be the third derivative of -j**5/140 - 599*j**4/56 - 3*j**2 + 160*j. Factor b(g).
-3*g*(g + 599)/7
Suppose -1440/11 - 32*c**2 - 2/11*c**3 + 1432/11*c = 0. Calculate c.
-180, 2
Let n be (3 - 10)/(15 + -8 - (-21)/(-2)). Let t(m) be the second derivative of -1/2*m**4 + 1/10*m**6 + 0*m**3 + 3/20*m**5 + 8*m + 0 + 0*m**n. Factor t(o).
3*o**2*(o - 1)*(o + 2)
Suppose -90*x = 51*x. Let d(j) be the second derivative of 1/3*j**3 + 31*j + x - 1/10*j**4 + 2/5*j**2. Determine f so that d(f) = 0.
-1/3, 2
Factor 200/23 + 208/23*r + 58/23*r**2 + 2/23*r**3.
2*(r + 2)**2*(r + 25)/23
Let m(h) be the second derivative of -5*h**4/12 + 55*h**3/6 + 105*h**2 - 3576*h. Determine b so that m(b) = 0.
-3, 14
Let v(j) be the third derivative of -j**5/195 - 369*j**4/52 + 554*j**3/39 + 47*j**2 - 62*j. Suppose v(p) = 0. What is p?
-554, 1/2
Let d(f) be the third derivative of 0*f - 72*f**2 - 1/12*f**4 + 0 + 0*f**3 + 1/60*f**5. Factor d(c).
c*(c - 2)
Let m(t) be the second derivative of 47*t + 20*t**2 - 4/15*t**5 + 4*t**3 - 1/6*t**4 - 1/30*t**6 + 0. Let s(x) be the first derivative of m(x). Factor s(v).
-4*(v - 1)*(v + 2)*(v + 3)
Let c be (-266)/38 - 969/(-114). Factor -69/2*r - c*r**3 + 45/2 + 27/2*r**2.
-3*(r - 5)*(r - 3)*(r - 1)/2
Let j(v) = -v**2 - 510*v + 47200. Let k be j(80). Determine b, given that -6*b - 2/9*b**2 + k = 0.
-27, 0
Let x(l) be the third derivative of -1/60*l**6 + 0 + 0*l + 1/3*l**3 - 20*l**2 - 1/4*l**4 + 1/10*l**5. Determine z so that x(z) = 0.
1
Let f = -979352 + 18607872/19. Suppose 14/19*o**3 - 40/19 - 158/19*o**2 + f*o = 0. What is o?
2/7, 1, 10
Let p(u) be the third derivative of 0*u**3 - 1/2*u**6 - 3/4*u**5 - 5/12*u**4 - 5/42*u**7 + 0*u + 2 + 2*u**2. Factor p(l).
-5*l*(l + 1)**2*(5*l + 2)
Let l(w) be the third derivative of w**9/241920 - w**8/6720 + w**5/60 - 19*w**3/6 - 31*w**2. Let r(p) be the third derivative of l(p). Factor r(x).
x**2*(x - 12)/4
Determine o so that -1/4*o**3 - 69/2*o**2 - 24334 - 1587*o = 0.
-46
Let l(g) be the first derivative of 0*g + 5/13*g**2 - 8/39*g**3 + 44 - 1/26*g**4. Suppose l(r) = 0. Calculate r.
-5, 0, 1
Let k(w) be the second derivative of -5/3*w**3 - 7*w + 1/3*w**4 - 4/15*w**6 + 2/5*w**5 + 0 + 1/21*w**7 + 2*w**2. Factor k(f).
2*(f - 2)*(f - 1)**3*(f + 1)
Suppose -17 = c - 18, p + c = 9. Let m = -6 + p. Factor -12/7*v - v**m + 4/7.
-(v + 2)*(7*v - 2)/7
Let f be 374/24 - (203/116 + -2). Let s(n) be the third derivative of 0*n + 0 + 10/3*n**3 + 361/12*n**5 - 6*n**2 + f*n**4. Factor s(r).
5*(19*r + 2)**2
Let m(u) be the first derivative of u**6/90 - 2*u**5/15 + u**4/2 - 20*u**3/3 - u + 114. Let s(y) be the third derivative of m(y). Solve s(c) = 0 for c.
1, 3
Let j(b) be the first derivative of 1/5*b**5 - b**4 + 2*b**3 - 2*b**2 + b + 47. Suppose j(k) = 0. Calculate k.
1
Let o(l) = 5*l**3 - l**2 + 2*l - 2. Let v be o(1). Suppose v*r - 4 = 2*r. Let -2*u**2 + 7*u**2 + 28*u**r + 3*u**2 + 24*u + 4 = 0. Calculate u.
-1/3
Let d = 6028664/19 - 317298. Factor 208/19*s - 5408/19 - d*s**2.
-2*(s - 52)**2/19
Let u = -88 + 85. Let y be 1 + 4 + 4 + u. Factor 1998 + 4*i**2 + 5*i**2 - 1998 - y*i.
3*i*(3*i - 2)
Suppose -26 = 4*g + 5*x - 19, 2*g + 8 = 2*x. Let k be 0 - (g - -2) - (-7)/49. Solve 22/7*h**3 - 4/7*h + 0 + 10/7*h**2 + k*h**4 = 0.
-2, -1, 0, 1/4
Suppose -8*t - 803 = 4349. Let j = -1930/3 - t. Let -j + 0*d**4 - 1/3*d**5 + 2/3*d**2 + 4/3*d**3 - d = 0. What is d?
-1, 1, 2
Let l(u) = 7*u**2 + 14*u + 37. Let q be l(-5). Suppose -q*r - 25*r**2 + 5 - 5 + 132*r + 15*r**3 = 0. Calculate r.
-1/3, 0, 2
Solve 26/11*q**2 + 30/11*q - 30/11*q**3 - 28/11 + 2/11*q**4 = 0 for q.
-1, 1, 14
Let d(x) be the first derivative of 0*x + 2/5*x**5 - 1/3*x**6 + 0*x**2 - 31 + 0*x**3 + x**4. Find y, given that d(y) = 0.
-1, 0, 2
Let p(c) be the second derivative of c**4/4 + 79*c**3/2 - 243*c**2 + 1429*c. Factor p(x).
3*(x - 2)*(x + 81)
Let a(p) be the second derivative of p**4/3 + 94*p**3 + 1096*p**2 + 1402*p. Let a(c) = 0. What is c?
-137, -4
Let t(o) be the third derivative of -o**9/12096 - o**8/3360 - o**7/3360 + 76*o**3/3 - 21*o**2 + 2. Let p(d) be the first derivative of t(d). Factor p(b).
-b**3*(b + 1)**2/4
Let q(x) be the second derivative of -1/15*x**4 + 0 - 11/15*x**3 + 1/50*x**5 - 154*x + 12/5*x**2. Factor q(r).
2*(r - 4)*(r - 1)*(r + 3)/5
Let b(p) be the second derivative of -1/30*p**6 - 1/12*p**4 - 15 + p**2 + 3/20*p**5 + 2*p - 1/2*p**3. Let b(c) = 0. What is c?
-1, 1, 2
What is q in -14*q - 488 + 7*q - 51*q - 255*q - 173*q + 2*q**2 = 0?
-1, 244
Let g = -404 + 406. Suppose -67*n = 61*n + 40*n - 14*n. Factor 4/7*c**3 + 2/7*c**4 + 2/7*c**g + 0 + n*c.
2*c**2*(c + 1)**2/7
Let k(c) be the second derivative of 0*c**2 + 1/70*c**5 + 1/42*c**4 + 0*c**3 + 9*c - 1. Suppose k(a) = 0. What is a?
-1, 0
Let t(h) be the second derivative of 30*h**2 + 5/4*h**4 - 26*h**3 - h + 31. Suppose t(n) = 0. Calculate n.
2/5, 10
Let w = -168570 + 674283/4. Solve 9/8*d + w + 3/8*d**2 = 0.
-2, -1
Let y(b) be the third derivative of -b**6/480 + 7*b**5/40 + b**4/96 - 7*b**3/4 + 4*b**2 - 114*b. Factor y(u).
-(u - 42)*(u - 1)*(u + 1)/4
Let r = 232 - -141. Factor -126*y**2 - 46*y**3 + 10*y**3 - 45 - r*y**4 + 376*y**4 - 132*y.
3*(y - 15)*(y + 1)**3
Let v(j) = -4*j + 23. Let q be v(0). Let x = -19 + q. What is l in -2*l**x - 6 - 20*l - 24*l**2 - 7*l**3 + 0*l - 5*l**3 = 0?
-3, -1
Let m(w) = -2*w**2 + 667*w - 1980. Let v be m(3). Solve -10/13*y**2 + 4/13*y + 0 + 4/13*y**v = 0.
0, 1/2, 2
Let s(d) be the first derivative of 3*d**4/10 + 406*d**3/45 + 94*d**2/3 + 80*d/3 + 6900. Suppose s(k) = 0. What is k?
-20, -2, -5/9
Let f be ((-2)/(-6))/(6/(-54)) - (-318 + 313). Let z(s) be the second derivative of 4/21*s**3 - 1/42*s**4 - 3/7*s**f + 0 + 16*s. Suppose z(n) = 0. What is n?
1, 3
Suppose 22 = 3*g - 2*g. Let s = -927 + 929. Let b(a) = -a**3 + 1. Let i(c) = 9*c**3 - 2*c**2 + 2*c - 9. Let z(u) = g*b(u) + s*i(u). Factor z(f).
-4*(f - 1)*(f + 1)**2
Let n be (-5)/(1*(-2)/4). Suppose -58 - 22 = -n*u. Factor 3*m**2 - 21*m - 6 - 3*m**4 - 30*m**2 - u*m**3 - 7*m**3.
-3*(m + 1)**3*(m + 2)
Let d be (-5365)/(-580) + -7 + -2. Factor -1/4*q**2 + 0 + d*q.
-q*(q - 1)/4
Factor -627/2*x - 5/2*x**2 - 125.
-(x + 125)*(5*x + 2)/2
Let f(k) be the first derivative of k**6/21 - 6*k**5/5 + 99*k**4/14 - 90*k**3/7 - 1787. Factor f(x).
2*x**2*(x - 15)*(x - 3)**2/7
Let n(a) = -4*