tive of -q**6/3 - 31*q**5/4 - 455*q**4/12 - 215*q**3/3 - 60*q**2 - 9*q + 5. Find k, given that o(k) = 0.
-12, -2, -1, -1/2
Let s(m) = -3*m**2 + 20*m - 10. Let o be s(6). Factor 47*j**2 + 54*j - 63*j - 12 - 26*j**o.
3*(j - 1)*(7*j + 4)
Suppose 360 = 10*m - 4*m. Let y be (m/(-250))/(3 - 64/20). Factor 0*g - y*g**2 - 3/5*g**3 + 0.
-3*g**2*(g + 2)/5
Let l(k) = -3*k**2 - 1. Let t(c) = 10*c**2 - 6*c - 4. Let n(h) = 12*l(h) + 4*t(h). Suppose n(y) = 0. Calculate y.
-1, 7
Suppose -12 = c - 63. Suppose -53*n = -c*n - 40. Factor -n*j**2 - j**2 - 2 + 24*j - 15*j**3 + 14.
-3*(j - 1)*(j + 2)*(5*j + 2)
Let m(c) = -3*c**3 + 93*c**2 - 622*c - 65. Let q be m(10). What is r in -q*r**4 + 0 + 35/2*r**3 + 0*r**2 - 5/2*r = 0?
-1/3, 0, 1/2, 1
Let i(k) be the first derivative of k**6/6 - k**5/5 + 1699. Suppose i(z) = 0. What is z?
0, 1
Let c(q) be the third derivative of 0*q**3 - 5/24*q**4 + 0*q - 51*q**2 + 0 + 1/180*q**5. Factor c(j).
j*(j - 15)/3
Let p(r) be the third derivative of -13/30*r**5 - 16/3*r**3 - 1/420*r**7 - 24*r**2 + 0*r - 2*r**4 - 1/20*r**6 - 1. Factor p(i).
-(i + 2)**2*(i + 4)**2/2
Let g be 226/4294*12/6. Solve -6/19*z**2 + g*z**3 - 2/19*z + 6/19 = 0.
-1, 1, 3
Let w(p) be the second derivative of 5*p**4/102 - 581*p**3/17 - 698*p**2/17 - 2*p + 1586. Factor w(k).
2*(k - 349)*(5*k + 2)/17
Let v(r) be the second derivative of -38 + 50/7*r**2 - 4/21*r**4 - r - 1/70*r**5 - 5/21*r**3. Factor v(u).
-2*(u - 2)*(u + 5)**2/7
Factor -120*n - 34*n**2 - 5*n**3 + 8264 - 4664 - 61*n**2.
-5*(n - 5)*(n + 12)**2
Factor -2/13*v**2 - 480/13 - 64/13*v.
-2*(v + 12)*(v + 20)/13
Let l(j) = 4*j**3 + 60*j**2 + 218*j - 284. Let b(o) = -5*o**3 - 62*o**2 - 218*o + 288. Let z(a) = -2*b(a) - 3*l(a). Find d, given that z(d) = 0.
-23, -6, 1
Let v be -4*(-3)/2896*2/1. Let d = v - -715/1086. Factor -16/3*f + 2/3*f**4 - 8/3 + 10/3*f**3 - 2/3*f**5 - d*f**2.
-2*(f - 2)**2*(f + 1)**3/3
Let x(i) be the second derivative of 1/4*i**4 - 1/60*i**6 - 1/15*i**5 - 4*i**2 + 0 - 13*i + 0*i**3. Let s(t) be the first derivative of x(t). Factor s(q).
-2*q*(q - 1)*(q + 3)
Let j(r) be the second derivative of r**4/12 + 269*r**3/6 - 271*r**2 + 896*r + 1. Let j(d) = 0. What is d?
-271, 2
Let z be 1474/55 - (-2)/10. Let -10*g**2 + z*g**3 + 595*g**4 - 12*g + 3*g**5 - 3 - 611*g**4 + 11 = 0. Calculate g.
-2/3, 1, 2
Let w(n) be the third derivative of n**7/70 - 13*n**6/20 + 33*n**5/5 + 77*n**4 - 784*n**3 + 382*n**2 + n. Factor w(j).
3*(j - 14)**2*(j - 2)*(j + 4)
Suppose 322*f = 344*f. Let w(g) be the second derivative of -5/4*g**3 - 11/8*g**4 + f + 0*g**2 + 3*g - 1/20*g**6 - 21/40*g**5. Find l, given that w(l) = 0.
-5, -1, 0
Let r(j) be the first derivative of -j**7/126 + j**6/15 + j**5/60 - j**4/6 - 266*j - 266. Let p(d) be the first derivative of r(d). Solve p(m) = 0 for m.
-1, 0, 1, 6
Let j = -21/20683 + 41555/186147. Factor 2/9*o**2 + 0*o - j.
2*(o - 1)*(o + 1)/9
Let f(u) be the second derivative of 9*u**2 + 0*u**4 - 8/3*u**3 + u + 1/15*u**5 + 0. Let v(a) be the first derivative of f(a). Determine n so that v(n) = 0.
-2, 2
Let x(q) be the first derivative of 47 - 3/2*q**2 + 1/4*q**4 + 4/3*q**3 - 18*q. Determine r so that x(r) = 0.
-3, 2
Let i(u) be the first derivative of 2*u**5/45 + 17*u**4/9 + 62*u**3/9 - 4*u**2/9 - 248*u/9 + 3774. Find z, given that i(z) = 0.
-31, -2, 1
Factor -12674*c**3 - 46*c + 6336*c**3 + 6337*c**3 + 2*c**2 + 5*c**2 - 32*c**2.
-c*(c + 2)*(c + 23)
Suppose 5*l - 3*d = 16, 4*d - 37 = -2*l - 41. Let c = -8 - -27. Factor -c*f**3 + 3*f**l - 29 + 23 + 15*f + f**3.
-3*(f + 1)*(2*f - 1)*(3*f - 2)
Suppose -77*x + 20*x + 5643 = 0. Let j = x + -97. Solve -1/4*l**3 + 3/8*l**4 - 3/8 - 7/4*l - 2*l**j = 0.
-1, -1/3, 3
Let a(l) = 10*l + 3 + 4*l**2 - 34*l + 57. Let k(h) = 3*h + 1. Let n(j) = -a(j) + 4*k(j). Factor n(m).
-4*(m - 7)*(m - 2)
Suppose 0 = -3*k + 7*k - 4, 4*g - 2*k + 2 = 0. Let m = -264 + 266. Solve g + 3/2*w**4 + 3*w**3 - 3/2*w**m - 9/4*w - 3/4*w**5 = 0 for w.
-1, 0, 1, 3
Let p(s) = 147*s**3 - 1820*s**2 + 5389*s + 149. Let c(g) = -74*g**3 + 910*g**2 - 2698*g - 74. Let b(y) = -10*c(y) - 4*p(y). Factor b(d).
4*(d - 6)**2*(38*d + 1)
Let z be ((90/(-297))/10)/(12/72*-1). Find d, given that 4/11*d**3 - 2/11*d**4 - 4/11*d + 0*d**2 + z = 0.
-1, 1
Factor -34/5*w - 14/5*w**2 - 18/5 + 2/5*w**3.
2*(w - 9)*(w + 1)**2/5
Suppose -4*n - 20*n = -216. Suppose 0 = -h - 2*o - o + 6, 0 = -4*h - 3*o + 15. Let -91 + h*c**2 + n*c**3 + 48*c + 36*c**2 + 103 = 0. What is c?
-2, -1/3
Let p(u) be the first derivative of 5/3*u**3 + 100*u + 5/4*u**4 - 22 - 40*u**2. Solve p(r) = 0 for r.
-5, 2
Let t = -2/211481 - -37855351/26646606. Let u = t + 13/18. Factor 0 + 18/7*h**2 - 3/7*h**3 - u*h.
-3*h*(h - 5)*(h - 1)/7
Let i(x) be the first derivative of x**5/270 - x**4/36 - 4*x**3/27 + x**2/2 - 10*x - 13. Let o(w) be the second derivative of i(w). Let o(u) = 0. What is u?
-1, 4
Let z be (5652/13816)/((-6)/(-22)). Let h = 197/12 + -85/6. Factor -h*y**2 - 29/4*y - z.
-(y + 3)*(9*y + 2)/4
Factor 2/15*d**4 - 1318/15*d - 434/15*d**3 - 88/3 - 438/5*d**2.
2*(d - 220)*(d + 1)**3/15
Let b = 174494/5607 + -6/623. Let i = b + -274/9. Find r, given that -2/3*r + 4 - i*r**2 = 0.
-3, 2
Let w(q) be the second derivative of q**4/54 - 61*q**3/9 - 2*q + 848. Determine g, given that w(g) = 0.
0, 183
Let z(i) be the third derivative of i**6/40 + 116*i**5/5 + 3174*i**2. Factor z(k).
3*k**2*(k + 464)
Let o(t) be the third derivative of -t**5/36 + 95*t**4/2 - 32490*t**3 - 383*t**2. Let o(z) = 0. What is z?
342
Let h(a) = 5*a**2 - 3*a - 3. Let o be (13 + -1 + 1)/(-1) + 1. Let p = o + 6. Let m(g) = g**2 - g - 1. Let i(r) = p*m(r) + 2*h(r). Find f such that i(f) = 0.
0
Let r be 53/5*(-435)/(-1044). Let l = r - 23/12. Suppose 5/2*m**2 + 1/4 + 5/4*m**4 - l*m**3 - 5/4*m - 1/4*m**5 = 0. Calculate m.
1
Let -1088/3 + 1/3*t**5 - 449/3*t**2 + 271/3*t**3 - 1840/3*t - 31/3*t**4 = 0. Calculate t.
-1, 8, 17
Let t(c) = -13*c**3 - 10*c**2 - 104*c + 192. Let l(d) = 4*d**3 + 3*d**2 + 35*d - 64. Let g(n) = 16*l(n) + 5*t(n). Solve g(f) = 0 for f.
-8, 2, 4
What is f in 982*f - 2*f**5 - 304*f**3 - 196*f**3 - 5232*f + 0*f**5 - 51*f**4 - 2500 - 2200*f**2 - f**4 = 0?
-10, -5, -1
Let 85*a**3 - 48*a**2 - 1024 + 99*a**3 - 182*a**3 - 480*a = 0. Calculate a.
-4, 32
Solve -8892324*w - 1/3*w**3 - 8838970056 - 2982*w**2 = 0 for w.
-2982
Let s(w) be the third derivative of 0 + 8/5*w**4 + 4/15*w**3 - 25/12*w**6 - 66*w**2 + 7/2*w**5 + 0*w. Solve s(p) = 0.
-2/25, 1
Let f be (9/12)/((-1166)/88 + 17). Factor -9/5*g + f*g**3 - 3/5*g**2 - 1.
(g - 5)*(g + 1)**2/5
Factor -30 + 6*m**3 + 76*m**2 + 4*m**2 + 936*m + 73*m**2 - 477.
3*(m + 13)**2*(2*m - 1)
Let d = -131 - -136. Suppose 6*b = -d*b - 6*b. Solve -1/6*a**3 + 1/6*a + b + 1/6*a**4 - 1/6*a**2 = 0.
-1, 0, 1
Suppose -9/2 + 1/8*f**3 - 1/2*f + 9/8*f**2 = 0. Calculate f.
-9, -2, 2
Let r(g) be the first derivative of -34*g**3/33 + 38*g**2/11 - 16*g/11 - 152. Factor r(l).
-2*(l - 2)*(17*l - 4)/11
Let k(w) be the first derivative of 684*w**3/5 - 206*w**2 + 8*w/5 + 1261. Factor k(u).
4*(u - 1)*(513*u - 2)/5
Let p be (-17)/(-102) + -26*(-15)/36. Suppose 107 = -p*q + 129. What is f in 2/23*f**q - 6/23 - 4/23*f = 0?
-1, 3
Suppose -558*g = 428*g - 4448*g - 3 + 3. Determine y so that g - 1/3*y**3 + 4/3*y**2 + 0*y = 0.
0, 4
Let w be (((-1332)/(-432))/37)/(1/45). Factor w*j - 21/2 + 3/4*j**2.
3*(j - 2)*(j + 7)/4
Let n(s) be the second derivative of s**7/294 - 17*s**6/105 + 29*s**5/28 + 1076*s**4/21 - 1408*s**3/3 - 14336*s**2 - 980*s. Factor n(q).
(q - 16)**3*(q + 7)**2/7
Let z(p) be the first derivative of -p**3/9 - 43*p**2/6 + 188*p/3 + 4495. Determine r so that z(r) = 0.
-47, 4
Let m(t) = t**2 + 9*t + 3. Let u be m(-3). Let l(v) = 2*v**2 + 32*v + 33. Let q be l(u). Factor -y**4 - 8*y**q - 5*y**4 + 2*y**4 - 4*y**2.
-4*y**2*(y + 1)**2
Let i(b) be the first derivative of b**7/672 + b**6/45 + 37*b**5/480 + 5*b**4/48 + 80*b**3/3 - 54. Let w(z) be the third derivative of i(z). Factor w(c).
(c + 1)*(c + 5)*(5*c + 2)/4
Let u(t) be the third derivative of 305809*t**5/180 - 553*t**4/9 + 8*t**3/9 + 3*t**2 + 151. Determine s so that u(s) = 0.
4/553
Let t be 8 - 8/200*195. Factor 1/5 - t*u**2 + 0*u.
-(u - 1)*(u + 1)/5
Let r(x) = -2*x**2 + 39*x + 188. Let b be r(-4). Let l(z) be the third derivative of 0*z - 1/30*z**5 - 1/3*z**3 - 1/6*z**4 + b + 19*z**2. Factor 