 1)*(2*o - 1)/5
Let k(z) be the first derivative of -2/5*z**5 + 0*z + 0*z**2 - 2*z**4 - 8/3*z**3 - 57. Suppose k(f) = 0. What is f?
-2, 0
Let v be (216/10)/(-6)*(-3)/(-30). Let a = v - -143/50. Factor 9/2 - 1/2*x**3 - a*x**2 - 3/2*x.
-(x - 1)*(x + 3)**2/2
Determine f, given that -36*f**3 + 373*f**2 + 7*f**3 - 6*f**3 - 433*f**2 - 5*f**4 = 0.
-4, -3, 0
Let i be (225/200)/(-18*55/(-528)). Let -i*h**3 + 3/5*h**2 - 6/5*h**4 + 0 + 0*h = 0. What is h?
-1, 0, 1/2
Let y be 35/(5/7 + (-14)/(-49)). Let x be (((-336)/y)/12)/(0 - 2). Factor -12/5*l - x*l**2 - 2.
-2*(l + 1)*(l + 5)/5
Let b be (-2 - 172/(-72))*96/448. Let p(f) be the first derivative of b*f**3 + 5/8*f**2 - 17 + 0*f. Solve p(o) = 0.
-5, 0
Let j(z) be the second derivative of z**6/30 - 97*z**5/10 - 391*z**4/12 - 98*z**3/3 + 1555*z. Factor j(g).
g*(g - 196)*(g + 1)**2
Let g be (11817/5454)/(26/15). Suppose 1/4*z**3 - g*z - 3/4 - 1/4*z**2 = 0. Calculate z.
-1, 3
Let r be (-9)/6*468/27. Let h(x) = 5*x**2 + 33*x + 18. Let g(v) = v**2 + 8*v + 4. Let i(d) = r*g(d) + 6*h(d). Suppose i(l) = 0. What is l?
1/2, 2
Let 9*q**5 + 432 + 3*q**5 - 733*q + 1368*q**3 + 229*q - 930*q**3 - 129*q**4 - 357*q**2 = 0. What is q?
-1, 3/4, 3, 4
Let a be (4/(-84))/(4/(-876) + 0) - (-47 - -57). Factor -45/7 + 6*n + a*n**2.
3*(n - 1)*(n + 15)/7
Let g(u) = u**3 - 15*u**2 + 38*u - 1220. Let s be g(17). Factor 0 + 0*x + 56/3*x**3 - 4/3*x**s - 196/3*x**2.
-4*x**2*(x - 7)**2/3
Let k = 3812/9 - 6128/9. Let q = k - -258. Solve 5/3*a**3 + q*a**4 + 0*a + 0 - a**2 = 0.
-3, 0, 1/2
Let a = 13 + -6. Factor a*o - 75*o**2 + 22 + 8 + 74*o**2.
-(o - 10)*(o + 3)
Suppose -5*m = 39*m + 80*m + 75*m. Solve m*x + 0 + 5/4*x**2 + 1/8*x**3 = 0 for x.
-10, 0
Let t(c) be the first derivative of c**4/4 - 18*c**3 + 486*c**2 - 5832*c + 2114. Factor t(y).
(y - 18)**3
Let v = -71 + 49. Let h = v - -24. Factor 2*b**3 + 3*b + 9*b**2 + 3*b**3 + b**4 + h + 4*b.
(b + 1)**3*(b + 2)
Suppose 5*d - 182*g = -185*g - 4, 3*d = g + 20. Let s(k) be the second derivative of 1/3*k**2 + 4/9*k**3 - 5/18*k**d + 43*k + 0. Let s(z) = 0. What is z?
-1/5, 1
Let g(o) be the third derivative of 0*o - 278*o**2 - 5/8*o**3 + 1/240*o**5 + 0 + 7/48*o**4. Factor g(u).
(u - 1)*(u + 15)/4
Factor 384/11*b + 6/11*b**3 - 390/11*b**2 + 0.
6*b*(b - 64)*(b - 1)/11
Let k(r) be the first derivative of -2*r**5/65 + 8*r**4/13 + 24*r**3/13 + 2627. Determine h so that k(h) = 0.
-2, 0, 18
Suppose 2*f = 2*p - 22, p - 4*f + 68 = 5*p. Let x = 51 - p. Determine s, given that 20*s**4 - 2 + 2 + x*s**2 - 21*s**2 + 32*s**3 + 4*s**5 = 0.
-2, -1, 0
What is j in 3/5*j**4 - 12/5*j**2 - 2/5*j**5 + 0 + 7/5*j**3 + 4/5*j = 0?
-2, 0, 1/2, 1, 2
Let t(o) = 12*o**3 + 71*o**2 + 224*o + 239. Let x(z) = -7*z**3 - 37*z**2 - 112*z - 120. Let m(k) = 4*t(k) + 7*x(k). Let m(r) = 0. What is r?
-2, 29
Let u be (-228)/(-15) - 3/15. Let l be 8/((-5)/(u/(-6))). Factor 4*q**3 - 4*q**5 + 5*q**4 + 6*q**4 - 3*q**4 - 4*q**4 - l*q**2.
-4*q**2*(q - 1)**2*(q + 1)
Let y(a) be the third derivative of -3 + 32/3*a**3 + 0*a - 7/60*a**5 + 10/3*a**4 - 49/240*a**6 - 2*a**2. Factor y(x).
-(x - 2)*(7*x + 8)**2/2
Let k(y) be the third derivative of -y**6/600 + 49*y**5/150 + 1468*y**2. Factor k(g).
-g**2*(g - 98)/5
Let w(o) be the third derivative of -97*o**2 + 0*o + 0*o**4 + 1/12*o**3 + 0 - 1/120*o**5. Let w(y) = 0. What is y?
-1, 1
Let a(n) = 12*n + 13. Let k be a(-4). Let o be -5 - 165/k - 16/(-7). Solve -2/11*u**o - 6/11*u + 0 = 0.
-3, 0
Solve 0*y + 0 + 0*y**2 - 9/7*y**4 + 6/7*y**3 + 3/7*y**5 = 0 for y.
0, 1, 2
Let y(w) = -7*w**4 + 89*w**3 - 149*w**2 - 515*w - 288. Let v(m) = -2*m**4 - m**3 - 4*m**2 + 2. Let i(l) = 6*v(l) - y(l). Solve i(t) = 0 for t.
-20, -1, 3
Let l = 1463806/45 - 292754/9. Solve l*i**2 + 0*i + 14/5*i**3 + 0 = 0.
-2/7, 0
Let m = 765 - 435. Let p = -328 + m. Let -4/17*y**5 - 8/17*y**3 + 0 + 2/17*y**p + 10/17*y**4 + 0*y = 0. What is y?
0, 1/2, 1
Factor -1885*w**3 - 1884*w**3 - 1888*w**3 - 144*w - 4*w**2 + 144 + 5661*w**3.
4*(w - 6)*(w - 1)*(w + 6)
Suppose -34*y + x = -30*y - 25, -5*x = -5*y + 50. Suppose 0*l = 2*l - 6. Factor -2*j**4 + j**2 + 9*j**l - 4*j**4 - 7*j**4 - 2*j + y*j**5.
j*(j - 1)**3*(5*j + 2)
What is m in 83 + 169*m**2 - 624*m - 610*m**2 - 175*m**2 + 20*m**4 - 132*m**3 - 243 = 0?
-2, -1, -2/5, 10
Let b(n) be the first derivative of -n**3/15 - 2351*n**2/5 - 5527201*n/5 - 2593. Factor b(z).
-(z + 2351)**2/5
Suppose -3*r + 5*j + 43 = 0, 0*r - 4*r + 5*j + 49 = 0. Suppose -r = -5*g + 3*g. Factor -233*i - 4*i**g + 233*i + 8*i**2.
-4*i**2*(i - 2)
Let a(p) = -13*p**2 - 664*p - 107588. Let c(k) = -23*k**2 - 1326*k - 215175. Let m(o) = -7*a(o) + 4*c(o). Let m(f) = 0. Calculate f.
-328
Let c(y) = -13*y**3 + 20*y**2 - 21*y - 34. Let l be c(-10). Factor 10*o**2 + 4*o**3 + l*o + 4024*o + 361358 + 470*o**2 - 105358.
4*(o + 40)**3
Let y(w) = 21*w**3 + 90*w**2 + 417*w - 408. Let s(d) = 2*d**3 + 7*d**2 + 2*d - 1. Let r(v) = 12*s(v) - y(v). Suppose r(u) = 0. Calculate u.
-11, 1, 12
Let t(b) = 6*b**2 + 115*b + 24. Let a be t(-19). Let v be (-3)/a*7/(14/(-4)). Factor -9/5*z - v - 3/5*z**2.
-3*(z + 1)*(z + 2)/5
Let s(i) = i**3 + 27 - 21*i**2 + 9*i**2 + 0*i**3 - 2*i. Let w be s(12). Let 80 - 3*t**5 + 14*t**2 + 10*t**2 - 6*t**4 - 26 - 99*t + 30*t**w = 0. Calculate t.
-3, 1, 2
Suppose -64*c - 36*c + 372 = -7*c. Let m(j) be the second derivative of -3/14*j**3 + 0 - 1/28*j**c - 18*j - 3/7*j**2. Let m(k) = 0. What is k?
-2, -1
Factor -54*k - 136*k**2 + 19404 + 27*k + 4*k**3 + 7*k**2 + 5*k**2 - 57*k.
4*(k - 21)**2*(k + 11)
Suppose 10*y - 1764 = -18*y. Let c be (-70)/y + 4/3. Find r, given that -2/3*r**3 + 2/3*r - c*r**4 - 8/9 + 10/9*r**2 = 0.
-4, -1, 1
Let y be 14/3 - (-805 + 807)/(2/(-6)). Let -y*w - 8*w**3 - 4/3*w**4 + 0 + 20*w**2 = 0. What is w?
-8, 0, 1
Suppose -u + 2*q = -16, -8 = -u + 5*q - q. Suppose 5*l - 3 = 4*z, -z = 3*z + 4*l - u. Let -24*m - m**2 + m**2 + 14*m**2 + z*m**3 - 8*m**2 = 0. What is m?
-4, 0, 2
Let p(k) be the second derivative of -3/14*k**3 + 0 + 0*k**4 - 53*k - 3/7*k**2 + 3/140*k**5. Factor p(l).
3*(l - 2)*(l + 1)**2/7
Let u(i) be the first derivative of i**3/4 + 315*i**2/8 - 327*i - 4409. Factor u(o).
3*(o - 4)*(o + 109)/4
Suppose -11*i = 2*u - 16*i - 2329, 3*i = -3*u + 3441. What is o in 22*o**3 - 228*o**3 - 241*o**3 - 4*o**5 - 88*o**4 + 63*o**3 + u*o**2 = 0?
-12, 0, 2
Let n(u) = 26*u**2 + 6*u + 4. Let s be n(-1). Let j be (-1 + 13)*s/72. Determine q so that 2/13*q**5 + 6/13*q**3 - 2/13*q**2 + 0*q + 0 - 6/13*q**j = 0.
0, 1
Let t(s) be the third derivative of 11/60*s**6 + 2/35*s**7 + 1/168*s**8 + 19*s**2 + 0*s + 1/5*s**5 + 2 + 0*s**4 + 0*s**3. Determine n, given that t(n) = 0.
-3, -2, -1, 0
Let g(w) = 2*w**4 + w**3 - 1. Let v(z) = 40*z**4 - 15*z**3 - 642*z**2 + 738*z - 211. Let i(h) = -5*g(h) - v(h). Solve i(f) = 0.
-4, 3/5, 3
Let v(d) be the third derivative of 6*d + 0*d**3 + 49/120*d**5 + 3*d**2 + 11/48*d**4 + 29/192*d**6 - 1/240*d**7 + 0. Let v(x) = 0. What is x?
-1, -2/7, 0, 22
Let v = -50 + 53. Suppose -4*t - 4*y + 12 = 0, -4*y + 4 = v*t - 5. Factor 10*m**t - 19 - 60*m**2 + 5*m**4 + 80 - 90*m + 74.
5*(m - 3)*(m - 1)*(m + 3)**2
Suppose -4/5*u**4 - 89/5*u**2 - 68/5*u - 37/5*u**3 - 12/5 = 0. What is u?
-6, -2, -1, -1/4
Suppose 0 = 5*g + 8*f + 86, -3*g + 46*f - 6 = 47*f. Determine i so that 2 + 3/2*i - 1/2*i**g = 0.
-1, 4
Let j(g) be the first derivative of 11/18*g**3 - 1/24*g**4 + 8*g - 10/3*g**2 + 54. What is o in j(o) = 0?
3, 4
Suppose -48 + 1178 = 955*f + 601 - 1381. Factor -21/4 + 15/8*q + 3/8*q**f.
3*(q - 2)*(q + 7)/8
Let d be (-21 - 111/(-5)) + 8/(-90). Let x(c) be the first derivative of 2/15*c**5 + 0*c - d*c**3 + 18 + 1/6*c**4 + c**2. Factor x(v).
2*v*(v - 1)**2*(v + 3)/3
Let m = -5040502/9 + 558943. Let l = 1113 + m. Factor 4/9*g + l*g**3 + 0 - 2/3*g**2.
2*g*(g - 2)*(g - 1)/9
Let c(x) be the first derivative of -x**4/12 - 4*x**3 + 259*x**2/6 + 98*x + 3569. Suppose c(r) = 0. Calculate r.
-42, -1, 7
Let u(h) be the third derivative of -h**8/33600 + 3*h**6/400 + 19*h**5/60 + 78*h**2. Let m(a) be the third derivative of u(a). Factor m(t).
-3*(t - 3)*(t + 3)/5
Let 284*r + 98560 - 93010 + 851*r + 5*r**2 = 0. Calculate r.
-222, -5
Let a(t) = 14*t + 119. Let q be a(-6). Let c be (-2)/(-20) - (-3 - (-91)/q). Solve c*v - 1/2*v**3 + 1/2*v**2 - 1/2 = 0.
-1, 1
Let g(r) = -2*r**5 - 32*r**4 - 71*r**3 - 9*r**2 + 81*r - 27