t f(h) be the first derivative of -h**6/36 - h**5/15 + 5*h**4/8 + 764. Find s such that f(s) = 0.
-5, 0, 3
Let b(h) be the third derivative of -4*h**2 - 29/1200*h**6 + 0 + 1/700*h**7 + 3/20*h**5 + 5*h - 2/5*h**4 + 8/15*h**3. Determine q so that b(q) = 0.
2/3, 1, 4
Let l be (-3052)/(-168) + -19 + -134*(-1)/132. Factor -18/11 + 18/11*y - 2/11*y**3 + l*y**2.
-2*(y - 3)*(y - 1)*(y + 3)/11
Suppose -2*k - 5*s - 2 = -21, 0 = -5*k + 5*s + 100. Suppose -4 = -f - f. Factor -f*n**2 + 2 - k*n**2 - 23*n**2 + 10*n**2.
-2*(4*n - 1)*(4*n + 1)
Let g(k) be the second derivative of k**6/660 - 3*k**5/110 + 5*k**4/33 - 4*k**3/11 + 93*k**2/2 - 132*k. Let m(y) be the first derivative of g(y). Factor m(d).
2*(d - 6)*(d - 2)*(d - 1)/11
Let n = 245/86 - 17/172. Let x(k) be the third derivative of -121/60*k**5 + 0*k - n*k**4 + 12*k**2 - 3/2*k**3 + 0. Factor x(i).
-(11*i + 3)**2
Let i(t) be the second derivative of t**3/6 - 3*t**2/2 + t. Let r be i(10). Factor -4*c**2 + r*c**3 - c**2 - 2*c**3 + 0*c**2.
5*c**2*(c - 1)
Let w(h) = -140*h**2 + 6080*h - 774192. Let f(i) = 44*i**2 - 2027*i + 258064. Let v(o) = -16*f(o) - 5*w(o). Factor v(m).
-4*(m - 254)**2
Suppose -2/5*k**2 + 38/5*k - 28 = 0. What is k?
5, 14
Let q(y) be the first derivative of 5*y**4/12 - 40*y**3/9 - 95*y**2/6 - 50*y/3 - 483. Find u, given that q(u) = 0.
-1, 10
Let t(b) be the third derivative of 11/144*b**4 + 0*b + 0 + 246*b**2 - 1/360*b**5 - 5/18*b**3. Factor t(m).
-(m - 10)*(m - 1)/6
Let f = 717078 + -717075. Find o such that 294/5 - 2/15*o**f - 322/5*o + 86/15*o**2 = 0.
1, 21
Let m = 5/119689 + 7300984/1077201. Let 17/9*x**4 - m*x**2 + x**3 - 4/3 + 52/9*x - 5/9*x**5 = 0. What is x?
-2, 2/5, 1, 3
Suppose 21*a - 30 = 11*a. Suppose 0 = -4*f - 4*m - 8, a*f - 2*f + 5*m + 18 = 0. Factor -1/4*o**f + 3*o - 9.
-(o - 6)**2/4
Let j(x) be the second derivative of -5/36*x**4 - 1/6*x**2 + 37 + x - 1/3*x**3. Let j(l) = 0. Calculate l.
-1, -1/5
Let g(b) be the second derivative of b**9/4032 + 9*b**8/2240 + 3*b**7/140 + b**6/30 - 27*b**3/2 - 114*b. Let u(x) be the second derivative of g(x). Factor u(n).
3*n**2*(n + 1)*(n + 4)**2/4
Let m be (18/4)/((4*1/6)/(17320/7794)). Factor -10*f**2 + 5/3*f**3 + m*f - 20/3.
5*(f - 4)*(f - 1)**2/3
Let t(u) be the second derivative of -8/7*u**2 - 88/21*u**3 + 50/147*u**7 + 2/3*u**6 - 139/21*u**4 + 123*u + 0 - 89/35*u**5. Solve t(s) = 0.
-2, -1, -1/5, 2
Let i(z) be the third derivative of z**6/600 + z**5/150 - 2*z**4/15 - 16*z**3/15 + 3*z**2 + 122*z. Determine g so that i(g) = 0.
-4, -2, 4
Let l(c) be the third derivative of c**6/1980 - c**5/33 - c**4/3 - 91*c**3/3 + c**2 + 128. Let u(z) be the first derivative of l(z). Factor u(n).
2*(n - 22)*(n + 2)/11
Find y, given that 5*y - 1/2*y**2 + 39/2 = 0.
-3, 13
Let x = 15 + 6. Let w be x + 0/(-4) - (0 + 1). Suppose -74*o**4 + 9*o**4 + 20*o - o**3 - w + 6*o**3 + 85*o**2 - 25*o**5 = 0. Calculate o.
-2, -1, 2/5, 1
Let x(m) = -64*m**2 - 185*m - 8287. Let c(i) = 21*i**2 + i + 2. Let s(w) = -12*c(w) - 4*x(w). Factor s(l).
4*(l + 91)**2
Suppose 11*o - 36 = 8*o. Let -98*i**4 - 21*i**2 + 57*i - i**3 - 2*i**3 + o - 57*i + 107*i**4 + 3*i**5 = 0. What is i?
-2, -1, 1
Let v be (97/582)/(10/108). Determine k, given that -3*k**2 - v + 3/5*k**3 + 21/5*k = 0.
1, 3
Let s(i) be the third derivative of 0 + 5/336*i**8 + 2*i + 0*i**6 + 0*i**3 + 0*i**5 - 34*i**2 + 0*i**4 + 1/21*i**7. Factor s(o).
5*o**4*(o + 2)
Suppose 0 = 55*i - 56*i + 432. Factor -347*g - 110*g + 75*g**2 - 47*g + 2*g**3 + i - 5*g**3.
-3*(g - 12)**2*(g - 1)
Suppose 5*v - 94*j + 89*j - 50 = 0, -14*j - 96 = -3*v. Factor -1 - 1/8*p**v - 5/4*p + 3/8*p**2 + 1/2*p**3.
-(p - 4)*(p - 2)*(p + 1)**2/8
Let s(q) be the second derivative of -q**5/10 + 305*q**4/2 - 609*q**3 + 913*q**2 + 2*q - 1903. Factor s(m).
-2*(m - 913)*(m - 1)**2
Let n(i) = -2*i + 25. Let f = 15 + -4. Let t be n(f). Let 0*u**t + 5*u - u**3 + 3*u**2 + 9*u - 10*u = 0. What is u?
-1, 0, 4
Determine k so that 1646*k + 1239 + 759 + 3429*k**2 - 3477*k - 2168*k - 3*k**3 - 1425*k**2 = 0.
1, 666
Let n = 18/505 - -1371/4040. Let o(c) be the first derivative of 0*c + n*c**3 + 3/32*c**4 - 23 + 3/8*c**2. Determine r, given that o(r) = 0.
-2, -1, 0
Let c(k) = k**2 - 4*k - 18. Let g be c(7). Factor 66*m**2 + 72*m**2 + 923 - 909 + 18*m**g + 86*m.
2*(m + 7)*(3*m + 1)**2
Let z = 354685 - 354682. Factor -27/5 + 3/5*m**z + 57/5*m - 33/5*m**2.
3*(m - 9)*(m - 1)**2/5
Let t(h) = h**3 + 2*h**2 - 3*h + 3. Let j be t(2). Let q = 16 - j. Suppose -k**q - k**2 + 4*k**3 - k**2 + 5*k**2 = 0. What is k?
-1, 0
Let v(q) = -q**3 - 284*q**2 + 4160*q - 3570. Let i be v(-298). Suppose 124/3*h**2 + 0 - i*h + 14/3*h**3 = 0. Calculate h.
-9, 0, 1/7
Let j(w) = 31*w**2 + 36*w + 1. Let u be (-4)/(-6) + 1/3. Let i(t) = -5*t**2 - t + 4*t**2 - 2 + 1. Let n(x) = u*j(x) - 4*i(x). Factor n(d).
5*(d + 1)*(7*d + 1)
Let 232/5 + 114/5*a**2 + 208/3*a - 2/15*a**3 = 0. What is a?
-2, -1, 174
Suppose 0 = -5*m + m + 16. Let i be 4/6*(17 + -5). Solve -m*s**5 + 4 + 8*s**2 + 13*s - 9*s**4 - s - 2*s**4 - s**4 - i*s**3 = 0.
-1, 1
Let o = 697/2940 - 54/245. Let j(f) be the third derivative of -o*f**5 + 0*f - 27*f**2 + f**3 + 1/24*f**4 + 0. Factor j(i).
-(i - 3)*(i + 2)
Suppose -h + 57 = 3*i, 3*h = -2*i - i + 51. Suppose -41 - 1359 = -i*b. Factor -45*m**3 + 25 - 31*m**2 + 65*m**3 - 84*m**2 + b*m.
5*(m - 5)*(m - 1)*(4*m + 1)
Let u(r) be the first derivative of -r**5/30 + 133*r**4/6 - 11614*r**3/3 - 71288*r**2/3 - 143648*r/3 + 6516. Find p such that u(p) = 0.
-2, 268
Let z be ((-15)/(-6))/((-2)/(-24)*6). What is r in -80*r**2 - 16 + 73*r**z + 40*r**3 - 77*r**5 - 29*r + 89*r = 0?
-4, 1
Let v = -710/121 + 184735/242. Let u = v + -757. Let 0*t**2 + 0*t - 1/2*t**4 + 0*t**3 - u*t**5 + 0 = 0. Calculate t.
-1, 0
Let i(h) be the second derivative of -1/50*h**5 + 178*h + 3/5*h**3 - 1/15*h**4 + 0 + 18/5*h**2. Factor i(j).
-2*(j - 3)*(j + 2)*(j + 3)/5
Let d(g) be the second derivative of g**4/48 + 739*g**3/24 - 1230*g. Determine y, given that d(y) = 0.
-739, 0
Let b(v) be the third derivative of 0*v + 8/3*v**3 + 0 - 4/15*v**5 + 1/6*v**4 - 1/30*v**6 - 44*v**2. Let b(c) = 0. What is c?
-4, -1, 1
Factor -1858/15*j**2 - 2/15*j**4 + 928/15*j + 932/15*j**3 + 0.
-2*j*(j - 464)*(j - 1)**2/15
Let r(d) be the third derivative of 0*d + 0*d**3 + 3/70*d**7 + 0*d**4 + 0*d**5 + 1/56*d**8 - 2*d**2 - 1/20*d**6 - 35. What is n in r(n) = 0?
-2, 0, 1/2
Let a(h) = -20*h**2 - 116*h + 384. Let l(w) = -2*w**2 + 7*w. Let r(y) = a(y) - 12*l(y). Factor r(i).
4*(i - 48)*(i - 2)
Let q be (0 - (-15 + 15))/(-2). Let p(g) be the second derivative of q + 2/15*g**6 + 10*g + 0*g**4 - 3/10*g**5 + 0*g**3 + 0*g**2 + 1/21*g**7. Factor p(s).
2*s**3*(s - 1)*(s + 3)
Suppose -12 = -2*s + 5*y, 4*y = -5*s + 6*y + 9. Let j(r) be the first derivative of 0*r + s - 1/12*r**3 + 1/4*r**2. Determine f, given that j(f) = 0.
0, 2
Let y(f) be the second derivative of f**4/6 - 32*f**3/3 - 105*f**2 - 7250*f. Factor y(l).
2*(l - 35)*(l + 3)
Let d(o) be the third derivative of o**8/112 + 41*o**7/210 + 157*o**6/120 + 57*o**5/20 + 5*o**4/6 - 16*o**3/3 - 121*o**2 + 3. Find u, given that d(u) = 0.
-8, -4, -1, 1/3
Let v be ((-6)/(-8))/(3/8). Solve -3*a**2 - 4*a**3 + 9*a**v - 29 + 10*a**2 + 5 - 4*a = 0.
-1, 2, 3
Let f be (-22)/(-6) + ((-507)/117 - -2). Let -f*i + 4/3*i**3 + 16/3*i**2 - 16/3 = 0. Calculate i.
-4, -1, 1
Let t(n) = -14*n**2 - 52*n - 128. Let k(m) = 4*m**2 + 17*m + 42. Let c be (-65)/(-5) - (8 + -4 + -1). Let z(h) = c*k(h) + 3*t(h). Factor z(q).
-2*(q - 9)*(q + 2)
Let z(p) = -8*p**3 - 40*p**2 + 788*p + 820. Let g(m) = -15*m**3 - 81*m**2 + 1575*m + 1641. Let x(t) = -5*g(t) + 9*z(t). Find b such that x(b) = 0.
-25, -1, 11
Factor -2/7*s**2 + 2/7*s**4 + 24/7*s**3 - 24/7*s + 0.
2*s*(s - 1)*(s + 1)*(s + 12)/7
Factor 1 + 2*h + 1/4*h**3 + 5/4*h**2.
(h + 1)*(h + 2)**2/4
Let r(q) be the first derivative of 5*q**3/9 + 185*q**2/6 + 60*q + 3335. Factor r(f).
5*(f + 1)*(f + 36)/3
Let r(o) be the first derivative of o**6/60 - o**5/15 - o**2 + 6*o - 28. Let t(f) be the second derivative of r(f). Determine j so that t(j) = 0.
0, 2
Let a(x) be the first derivative of 14*x**5/5 + 69*x**4 - 456*x**3 + 856*x**2 - 384*x + 482. Suppose a(b) = 0. What is b?
-24, 2/7, 2
Suppose 31 = 93*k - 94*k. Let y = k + 39. Factor 7*b**3 + 4*b**4 + 6*b**3 - 9*b**3 - y*b**2.
4*b**2*(b - 1)*(b + 2)
Let