56. Suppose s(r) = 0. Calculate r.
-17, -1, -2/73
Let l(y) be the first derivative of -y**6/6 + 26*y**5/15 + 13*y**4/2 - 4*y**3/9 - 25*y**2/2 - 22*y/3 - 182. Solve l(z) = 0 for z.
-2, -1, -1/3, 1, 11
Let m(i) be the third derivative of -i**5/12 - 845*i**4/4 - 428415*i**3/2 - 1810*i**2. Factor m(k).
-5*(k + 507)**2
Let k(b) be the first derivative of 2*b**3/21 - 29*b**2/7 + 48*b - 2442. Suppose k(x) = 0. Calculate x.
8, 21
Let b = -964 - -966. Let n(f) be the first derivative of 8/7*f - 8/21*f**3 - 4/7*f**4 - b + 2/21*f**6 + 0*f**5 + 6/7*f**2. Solve n(y) = 0.
-1, 1, 2
Suppose -98*t**3 + 135 + 90545*t**2 + 93*t**3 - 90560*t**2 + 45*t = 0. What is t?
-3, 3
Let v = -198596/9 + 22068. Factor 2/9*r**5 + 0 + 2*r - 16/3*r**2 - v*r**4 + 44/9*r**3.
2*r*(r - 3)**2*(r - 1)**2/9
Let d = -8/1535 + 10761/3070. Find s, given that d*s**2 - 2 + 11/4*s**3 - 3*s - 3/4*s**4 - 1/2*s**5 = 0.
-2, -1/2, 1, 2
Determine p so that -617/3*p**2 - 1237/3*p + 1/3*p**3 - 619/3 = 0.
-1, 619
Factor 27*m**5 + 11*m**5 - 48*m**5 - 3*m**3 + 2*m + 11*m**5 + m**4 - m**2.
m*(m - 1)**2*(m + 1)*(m + 2)
Let n(r) be the third derivative of 7*r**6/180 + 163*r**5/90 + 239*r**4/18 + 40*r**3 - 5680*r**2. Find l, given that n(l) = 0.
-20, -2, -9/7
Let r(b) be the first derivative of -b**4/6 - 6*b**3 + 94*b**2/3 + 80*b - 1379. Factor r(s).
-2*(s - 4)*(s + 1)*(s + 30)/3
Let v(s) be the second derivative of -s**6/120 + 8*s**5/5 - 128*s**4 - 47*s**3/6 + s**2/2 - 78*s. Let m(b) be the second derivative of v(b). Factor m(d).
-3*(d - 32)**2
Find r such that -3*r**3 + 3*r**4 - 8835*r**5 + 8838*r**5 - 6*r**3 - 6*r**3 - 3*r**3 = 0.
-3, 0, 2
Suppose -5*w - 5 = 3*h - 2*h, -5*h + 55 = 5*w. Suppose -5*u + 75 = h. Solve 0*o**2 - u*o - 2*o**2 + 2*o**2 - 36 - o**2 = 0 for o.
-6
Let f be (-7 - -24)*114/855. Factor -74/15*m + 2/15*m**3 - f*m**2 - 38/15.
2*(m - 19)*(m + 1)**2/15
Suppose -3*v + 32 = 7*f, 0 = -3*f + 2*v - 34 + 28. Let m(o) be the first derivative of 0*o - 2/69*o**3 - 1/23*o**f - 11. Solve m(t) = 0.
-1, 0
Find q, given that -2832*q + 4*q**3 - 262*q**3 - 245*q**3 - 217156 + 2*q**4 - 431*q**3 + 109506*q**2 - 103882*q = 0.
-1, 2, 233
Let y(b) be the second derivative of -b**6/15 + 33*b**5/10 + 269*b**4/6 + 145*b**3 + 200*b**2 + 62*b + 8. Let y(d) = 0. What is d?
-5, -1, 40
Let w(m) = -5*m**3 - 22*m**2 - 32*m - 12. Let p(v) = -5*v**3 - 21*v**2 - 31*v - 11. Let s be 6*(1 - 2) + 9/1. Let k(g) = s*p(g) - 4*w(g). Solve k(o) = 0 for o.
-3, -1
Let l(a) = a**3 - 20*a**2. Let n be l(20). Suppose x = -7*x - n*x. Solve -4 + 3*p**2 + 4*p**2 - 5*p**2 + x*p**2 - 2*p = 0 for p.
-1, 2
Let h be ((8019/8910)/(3/4))/((-6)/(-15)). Factor 0*f**2 + 3/2*f**h + 0*f + 0 - 1/4*f**4.
-f**3*(f - 6)/4
Suppose 5179 = -761*q + 2076*q - 4429 + 3033. What is z in 0 - 10/7*z**4 + 2/7*z**q - 6*z**3 - 16/7*z - 46/7*z**2 = 0?
-1, 0, 8
Let j = 6191/2 - 3091. Let c(p) be the second derivative of 17/4*p**4 - 25*p + 0 - 15/2*p**2 + 9/20*p**5 + j*p**3. Factor c(x).
3*(x + 1)*(x + 5)*(3*x - 1)
Let f be 71 + (3/4 - 2/(-8)). Suppose -12*v - 24*v = -f. Find o, given that -17/2*o**3 + o**v + 17/2*o - 1 = 0.
-1, 2/17, 1
Let z be ((-54)/(-2))/(27/(-36)). Let g be (z/30)/(1/(-5)). Factor 3*l**5 - 3*l + 8*l**4 - 2*l**4 - 4*l**4 + g*l**2 - 8*l**4.
3*l*(l - 1)**3*(l + 1)
Let w(g) be the first derivative of -g**6/6 - g**5 + 5*g**4/12 + 10*g**3/3 + 12*g + 44. Let r(t) be the first derivative of w(t). Solve r(j) = 0 for j.
-4, -1, 0, 1
Find f such that -72*f**4 + 156*f**3 - 84*f**3 + 56*f**2 + 4*f**5 + 4*f**5 - 40*f**3 - 60*f + 16 + 20*f**5 = 0.
-1, 4/7, 1
Let v(f) = f**2 - 322*f + 18352. Let b be v(74). Factor -2/5*g**3 + 26/5*g**2 - 24/5*g + b.
-2*g*(g - 12)*(g - 1)/5
Suppose 1981*f**2 + 1/2*f**4 + 5520*f + 3600 + 123/2*f**3 = 0. Calculate f.
-60, -2, -1
Suppose 0 = 3*k + 4*m - 50, 2*k - 4*m - 38 = k. Solve k*w - 65*w**2 - 2*w**3 + 12 - 74*w**2 + 147*w**2 = 0.
-1, 6
Let d(t) = -10*t**3 + 178*t**2 + 48*t + 12. Let r(a) = -a**3 - 3*a + 3. Let v(f) = d(f) - 4*r(f). Factor v(w).
-2*w*(w - 30)*(3*w + 1)
Suppose -34*s + 33 - 203 = 0. Let w(c) = -2*c**4 + 2*c**3 + 6*c**2 - 2*c + 1. Let r(o) = o**4 - o**3 - 3*o**2 + o. Let v(u) = s*r(u) - 2*w(u). Factor v(d).
-(d - 2)*(d - 1)*(d + 1)**2
Let d(q) be the second derivative of -q**5/30 + 127*q**4/18 + q**3/9 - 127*q**2/3 + 4455*q. Find f, given that d(f) = 0.
-1, 1, 127
Let o = 10243 - 10243. Let f(c) be the second derivative of 0 + 0*c**2 - 1/5*c**5 + 31*c + o*c**3 + 7/3*c**4. Let f(g) = 0. What is g?
0, 7
Suppose 72 = 14*l + 44. Suppose l*i - 4*i = -3*i. Solve -1/4*k**2 + 0*k + i - 1/4*k**3 = 0.
-1, 0
Suppose -4*t = 2*r - 812 + 280, 3*r = 3*t + 762. Let d = r - 258. Let d*j - 2/11*j**3 - 2/11*j**2 + 0 = 0. Calculate j.
-1, 0
Let n(g) be the third derivative of g**5/90 + 125*g**4/18 - 56*g**3 - 85*g**2 - 2*g - 3. Suppose n(r) = 0. What is r?
-252, 2
Let o(k) be the first derivative of -k**6/420 - 37*k**5/105 - 1369*k**4/84 + 25*k**2/2 - 96. Let q(v) be the second derivative of o(v). Factor q(g).
-2*g*(g + 37)**2/7
Let u = 692 + -493. Suppose 75 = 2*r - u. Factor 61*o**3 - r*o**3 + 67*o**3 - 6*o**2 - 3*o**4.
-3*o**2*(o + 1)*(o + 2)
Let v(m) be the first derivative of -5*m**3/3 - 80*m**2 + 720*m - 1243. Suppose v(i) = 0. Calculate i.
-36, 4
Find s, given that -306*s**2 + 294*s**4 + 19*s**3 - 116*s**4 + 1080 + 756*s - 177*s**4 = 0.
-30, -1, 6
Let h(o) be the third derivative of 2*o**7/525 + o**6/30 + 2*o**5/25 - 2*o**4/15 - 16*o**3/15 - 2784*o**2. Factor h(v).
4*(v - 1)*(v + 2)**3/5
Suppose 0 = 48*a - 66 + 135 - 69. Solve 0*s + 3/4*s**5 + 3/4*s**2 + 9/4*s**4 + a + 9/4*s**3 = 0.
-1, 0
Let j(z) be the first derivative of 5/3*z**3 + 75*z + 16 + 20*z**2. Factor j(g).
5*(g + 3)*(g + 5)
Let y(k) = k**3 - 14*k**2 - 15*k + 3. Let r be y(15). Let z(g) be the first derivative of -g**r - 21 + 16 + 14. Determine h, given that z(h) = 0.
0
Let r = 21/635 - 499/34290. Let d(b) be the third derivative of r*b**4 + 1/90*b**5 + 8*b**2 + 1/540*b**6 + 0*b + 0 + 0*b**3. Solve d(h) = 0 for h.
-2, -1, 0
Let u be (-4*6/1008)/((-1)/2356). Let s = 170/3 - u. Find k, given that 0*k + 4/7*k**5 + 4/7*k**2 - 4/7*k**3 - s*k**4 + 0 = 0.
-1, 0, 1
Let 1156*o**2 + 13156*o**4 - 1857*o**2 - 3707*o**2 + 8550*o**3 - 242*o**5 + 440*o = 0. What is o?
-1, 0, 2/11, 55
Let b(s) be the third derivative of 0 - 65*s**2 - 5/3*s**3 - 1/3*s**4 + 0*s + 1/30*s**5. Suppose b(j) = 0. Calculate j.
-1, 5
Factor 36*w + 65*w**4 + 60*w**3 - 33*w**2 - 122*w**4 - 66*w**3 + 60*w**4.
3*w*(w - 4)*(w - 1)*(w + 3)
Let x(z) be the first derivative of 13*z**6/27 + 10*z**5/9 - 31*z**4/6 + 118*z**3/27 - 4*z**2/9 - 893. Let x(v) = 0. Calculate v.
-4, 0, 1/13, 1
Let j(p) be the first derivative of 5/2*p**4 - 85 + 0*p + p**5 - 5/3*p**3 - 5*p**2. Solve j(i) = 0 for i.
-2, -1, 0, 1
Suppose -23*j**2 - 67 + 232*j - 300*j - 189 + 22*j**2 = 0. What is j?
-64, -4
Let m be ((17/391*0)/(2*-1))/(-1). Factor m*f**3 + 0 + 0*f + 0*f**2 - 2/5*f**4.
-2*f**4/5
Let s(b) = -b**3 + 56*b**2 - 689*b + 2916. Let i(a) = -2*a**3 + 113*a**2 - 1358*a + 5832. Let y(o) = -6*i(o) + 15*s(o). Factor y(u).
-3*(u - 36)*(u - 9)**2
Let f(z) = -z**4 + 6*z**3 - 2*z**2 + 3. Let g = -166 - -169. Let t(l) = -l**4 + 4*l**3 - l**2 + 2. Let q(h) = g*t(h) - 2*f(h). Factor q(j).
-j**2*(j - 1)*(j + 1)
Let d(x) be the second derivative of x**4/27 + 500*x**3/27 + 31250*x**2/9 + 10*x + 21. Let d(r) = 0. What is r?
-125
Let z(i) be the second derivative of -1/10*i**6 + 21/2*i**2 + 0 - 3/2*i**4 - 4*i**3 + 151*i + 6/5*i**5. Determine h, given that z(h) = 0.
-1, 1, 7
Suppose -2*r = a + 92, 53*a - 4*r = 49*a - 392. Let s be (a/84)/((-8)/28). Determine g, given that 0 + 2/7*g**3 + 4/7*g**2 - 74/7*g**s + 0*g - 72/7*g**5 = 0.
-1, -1/4, 0, 2/9
Factor 99/8*p**3 + 207/8*p**2 + 0 + 105/8*p - 3/8*p**4.
-3*p*(p - 35)*(p + 1)**2/8
Solve -14*l + 14*l**3 - 57 + 176/3*l**2 - 5/3*l**4 = 0 for l.
-3, -1, 1, 57/5
Find u such that 0 - 2656/9*u**2 + 2*u**4 - 658/3*u**3 - 296/3*u = 0.
-2/3, 0, 111
Factor 151/3*b + 25/6*b**2 + 4.
(b + 12)*(25*b + 2)/6
Let d(p) be the first derivative of -p**5/270 - 13*p**4/54 - 169*p**3/27 + p**2/2 - 27*p - 53. Let h(r) be the second derivative of d(r). Factor h(w).
-2*(w + 13)**2/9
Let r(t) be the third derivative of -4*t**6/15 + 29*t**5/5 + 18*t**4 - 4*t**2 - 37*t. What is q in r(q) = 0?
-9/8, 0, 12
Suppose r - 5*n = -18, 5