vative of -236*a**5/35 - 18*a**4/7 - 4354. Find b such that w(b) = 0.
-18/59, 0
Let a(f) be the second derivative of 3*f**5/10 - 53*f**4/4 - 27*f**3/2 + 5865*f. Determine s so that a(s) = 0.
-1/2, 0, 27
Let v = 12 - 192. Let l be (-1)/((-3)/(-30))*24/v. What is a in 8/3*a**2 + 0 - l*a**3 + 0*a - 4/3*a**4 = 0?
-2, 0, 1
Let o = 1 - 0. Let b(v) = 28*v - 73*v + 4*v**4 + 17*v + 26*v. Let u(m) = m**4 - m**3 - m**2 - m. Let p(t) = o*b(t) - 3*u(t). Factor p(i).
i*(i + 1)**3
Factor -5/2*j + 1/4*j**2 + 0.
j*(j - 10)/4
Suppose 0*s - 9*s = 2*d - 49, -3*d + 31 = 5*s. Suppose -2/15*a + 4/5*a**d - 2/5*a**4 + 4/15*a**3 - 2/5 - 2/15*a**5 = 0. Calculate a.
-3, -1, 1
Let p(k) be the first derivative of 13/9*k**3 - 25/9*k + 35/18*k**2 - 19/36*k**4 - 39 + 2/45*k**5. What is v in p(v) = 0?
-1, 1/2, 5
Let v be (6/15)/(1/10). Let l = -234979/3 - -78327. Factor l - 1/3*h**v + h**3 - h - 1/3*h**2.
-(h - 2)*(h - 1)**2*(h + 1)/3
Let b(h) be the third derivative of h**6/60 + 1183*h**5/10 + 262552*h**4 + 3147076*h**3/3 + 5*h**2 - 19*h + 4. Suppose b(f) = 0. Calculate f.
-1774, -1
Let x(w) be the second derivative of -1/126*w**7 - 198*w - 1/30*w**6 + 0 + 7/9*w**4 + 4/3*w**3 + 1/10*w**5 + 0*w**2. Solve x(p) = 0.
-2, 0, 3
Let m(w) = 21*w**2 + 1. Let i be m(1). Suppose 8*p - 70 = -27*p. Factor 2 - 35*v**p - 38*v + 18 - i*v.
-5*(v + 2)*(7*v - 2)
Let z = -157364/57 + 8276/3. Let c = -61/38 - z. Suppose 0*i**3 + i**4 - 1/2*i**5 + c*i + 0 - i**2 = 0. What is i?
-1, 0, 1
Suppose -5*i + 633 = 3*c - 503, 2*c - 5*i = 749. Let t = -3391/9 + c. Factor 0 + 0*f**3 + 2/9*f**4 + 0*f - t*f**2.
2*f**2*(f - 1)*(f + 1)/9
Suppose -7 = -4*n + x + 7, x = 2*n - 6. Let y(a) be the third derivative of -7/48*a**n + 49/24*a**3 + 0*a + 1/240*a**5 - 2*a**2 + 0. Factor y(w).
(w - 7)**2/4
Suppose d = 5*x - 5851 + 5843, -4*x + 2*d = -16. Let -1/12*w**2 + 1/4*w + x = 0. What is w?
0, 3
Let l(o) be the first derivative of o**7/133 - 17*o**6/285 + 21*o**5/190 + 3*o**4/38 + 17*o + 45. Let s(g) be the first derivative of l(g). Factor s(z).
2*z**2*(z - 3)**2*(3*z + 1)/19
Factor 79 - 12 + 5 + 18 - 430*c**2 + 25*c**3 - 365*c.
5*(c - 18)*(c + 1)*(5*c - 1)
Factor 68450/7 + 2/7*k**2 - 740/7*k.
2*(k - 185)**2/7
Suppose 0 = r + 5*a - 48, 0 = 3*a + 3 + 6. Suppose 2*j = h + 3*h + 20, -5*j - 3*h = -r. Solve 20 - 30*x - 8*x**2 + j*x - 24 = 0 for x.
-2, -1/4
Suppose -15*c = -8*c - 1463. Let k = 1885/9 - c. What is n in 5/9*n + k + 1/9*n**2 = 0?
-4, -1
Let h(g) be the third derivative of g**8/84 + 116*g**7/21 + 4656*g**6/5 + 884446*g**5/15 - 912673*g**4/6 + 5777*g**2. Let h(j) = 0. Calculate j.
-97, 0, 1
Let b = -1752 + 1752. Let j(w) be the third derivative of -5/24*w**5 + 5/24*w**4 + 1/12*w**6 + 0*w + b - 1/84*w**7 + 0*w**3 + w**2. Factor j(v).
-5*v*(v - 2)*(v - 1)**2/2
Suppose 77*o - 990 = 66*o. Let t be 18/(-60) - (-127)/o. Factor 1/9*b**5 - t*b**2 + 5/9*b - 5/9*b**4 + 10/9*b**3 - 1/9.
(b - 1)**5/9
Let h(p) be the first derivative of 1/4*p**3 + 102 + 27/8*p**2 - 33/2*p. Factor h(k).
3*(k - 2)*(k + 11)/4
Let z(i) be the second derivative of i**5/20 + 2821*i**4/48 - 2119*i**3/24 - 353*i**2/4 + 3*i + 1547. Let z(u) = 0. Calculate u.
-706, -1/4, 1
Let w(j) be the first derivative of -3/20*j**5 + 0*j - 53 - 39/8*j**2 - 45/16*j**4 - 27/4*j**3. Suppose w(u) = 0. What is u?
-13, -1, 0
Let y(x) be the third derivative of -x**6/120 - 5*x**5/12 - 19*x**4/3 - 136*x**3/3 + 1288*x**2. Suppose y(r) = 0. What is r?
-17, -4
Let u be 8/(-40) - (-3)/15. Factor 5*t**2 - 1 + 1 + u + 25*t.
5*t*(t + 5)
Let m be (-76)/16*152/(-6). Let b = 121 - m. Let 4*z**2 + 8/3*z**3 + b + 8/3*z + 2/3*z**4 = 0. Calculate z.
-1
Let b(m) = -2*m**3 + 111*m**2 + 30*m + 1459. Let c be b(56). Determine p so that -1/3*p**4 - 1/3*p + 1/3*p**c - 2 + 7/3*p**2 = 0.
-2, -1, 1, 3
Let d(k) = k**2 - 11*k - 20. Let j be d(12). Let y be ((-4)/j)/((-2)/(-52)). Find w, given that 7*w**4 + 4*w**5 - w - y*w**2 - 4 + 0*w**2 + 21*w - 14*w**3 = 0.
-2, 1/4, 1
Let j(m) be the second derivative of m**4/12 - 5*m**3/6 - 9*m**2 - 15*m. Let r be j(8). What is v in -r - 15*v + 2*v**3 - 5*v**3 - 3*v**2 + v**3 + 8*v**3 = 0?
-1, -1/2, 2
Let h(d) be the second derivative of 2*d**6/135 - 374*d**5/45 + 34969*d**4/27 - 358*d + 1. Factor h(o).
4*o**2*(o - 187)**2/9
Let z(o) be the first derivative of 5*o**4/16 - 13*o**3/12 - 13*o**2/4 - 2*o - 628. Solve z(w) = 0 for w.
-1, -2/5, 4
Suppose -76 = v - 20*v. Let -2*x**3 + 6*x - x + 4*x + 0*x**4 + 12*x**2 - 3*x**v - x = 0. Calculate x.
-2, -2/3, 0, 2
Determine v so that v**3 - 33891*v**2 + 14*v - 2*v**3 + 33886*v**2 = 0.
-7, 0, 2
Let t(d) be the first derivative of -6*d**2 - 1/30*d**5 + 8 - 1/4*d**4 + 0*d**3 + 0*d. Let w(k) be the second derivative of t(k). Factor w(v).
-2*v*(v + 3)
Suppose -117 + 21 - 248 = -8*f. Let h(v) be the third derivative of 0 - 3/16*v**4 - f*v**2 + 1/20*v**5 + 0*v + 0*v**3 - 1/240*v**6. Factor h(j).
-j*(j - 3)**2/2
Let x(w) be the first derivative of -w**4/2 - 32*w**3 - 765*w**2 - 8100*w - 704. Solve x(m) = 0.
-18, -15
Let y(h) = -28*h**3 - 1424*h**2 + 1292*h. Let g(s) = -5*s**3 - 284*s**2 + 259*s. Let v(k) = 16*g(k) - 3*y(k). Factor v(r).
4*r*(r - 67)*(r - 1)
Let z(o) = -7*o**2 - 10*o + 12. Let k be (-5)/3*(4 + -1). Let i(h) = 9*h**2 + 9*h - 12. Let d(a) = k*i(a) - 6*z(a). Factor d(f).
-3*(f - 4)*(f - 1)
Let d be 21920/(-1400) - -19 - ((-6)/(-7))/6. Solve -2*g**4 + 26/5*g**2 - d + 4/5*g - 2/5*g**3 - 2/5*g**5 = 0 for g.
-4, -2, -1, 1
Factor -85*o**2 + 116*o**2 - 69 + 0*o**3 - 106*o**2 - 3*o**3 - 141*o.
-3*(o + 1)**2*(o + 23)
Suppose 2 = 2*r - 24. Factor -722 + r*z + 23*z + 40*z - 2*z**2.
-2*(z - 19)**2
Let v(o) = -379*o + 10615. Let m be v(28). Factor 10/11*w**m + 2/11*w**4 + 18/11*w**2 + 14/11*w + 4/11.
2*(w + 1)**3*(w + 2)/11
Suppose -q + 3*u + 6 = -0*u, -2*q - 15 = 3*u. Let f = 3 - q. Factor -12*a**3 + 5*a - f*a**2 + 2*a**5 - 9*a - 2*a - 10*a**2.
2*a*(a - 3)*(a + 1)**3
Let o = -37810 + 37812. Factor 0 - 10/11*x**o + 2/11*x**3 + 12/11*x.
2*x*(x - 3)*(x - 2)/11
Let i(v) be the first derivative of -v**3 + 51*v**2 - 675*v + 410. Suppose i(d) = 0. Calculate d.
9, 25
Let w(m) be the second derivative of 1/60*m**6 + 0*m**2 - 2/9*m**4 + 12*m + 0*m**3 + 11/60*m**5 + 3. Solve w(n) = 0.
-8, 0, 2/3
Let u = -15 + -69. Let n be (-2)/(-12) - (-14)/u. Solve 4*v**4 - 80 + 8*v**3 - 8*v + 76 + n*v**4 = 0 for v.
-1, 1
Let w = -173 - -173. Determine m so that -3*m**2 + 1 - 4 + 6*m + w + 0 = 0.
1
Let -89*k**5 + 269*k**5 + 1015*k**2 - 1408 + 28 - 705*k**3 - 88*k**5 - 335*k**4 + 1400*k - 87*k**5 = 0. Calculate k.
-2, 1, 69
Suppose b - 112*r = -114*r + 47, 2*r = 15*b - 193. Find s, given that b*s + 45/2 + 5/2*s**2 = 0.
-3
Let o(b) be the third derivative of -b**7/1260 + 4*b**6/45 - 64*b**5/15 + 2*b**4 - b**3/6 + 11*b**2 + 3. Let a(i) be the second derivative of o(i). Factor a(s).
-2*(s - 16)**2
Let q = -883 - -26491/30. Let k(a) be the third derivative of 0*a + 1/45*a**5 + 0*a**3 + 14*a**2 + q*a**6 + 0 + 0*a**4. Find c, given that k(c) = 0.
-1/3, 0
Suppose -6 = -s - 0. Let t be 15 + -2 - 2*s/4. Factor -9 - t*y**2 - y - 5*y + 9*y**2.
-(y + 3)**2
Determine m, given that 36/13*m + 0 - 6*m**2 + 46/13*m**3 - 2/13*m**5 - 2/13*m**4 = 0.
-6, 0, 1, 3
Let u = 796049/9 + -88449. Factor 0 - u*j**4 + 2/9*j + 2/9*j**5 - 8/9*j**2 + 4/3*j**3.
2*j*(j - 1)**4/9
Let y(u) = -294*u**2 - 4610*u + 4564. Let i(a) = 26*a**2 + 419*a - 415. Let c(p) = 68*i(p) + 6*y(p). Factor c(n).
4*(n - 1)*(n + 209)
Find v, given that 0*v + 172/9*v**3 + 0 - 40/3*v**2 - 16/3*v**4 - 4/9*v**5 = 0.
-15, 0, 1, 2
Let h(p) be the third derivative of -1/180*p**5 - 25/36*p**4 + 3 - 625/18*p**3 - 3*p**2 + 0*p. Factor h(j).
-(j + 25)**2/3
Suppose 2/7*x**2 + 902/7*x + 900/7 = 0. Calculate x.
-450, -1
Factor 68/9 - 2/9*g + 2/9*g**3 - 68/9*g**2.
2*(g - 34)*(g - 1)*(g + 1)/9
Factor -2/3*k**2 - 26/3*k + 32.
-2*(k - 3)*(k + 16)/3
Let k = 5929 + -5924. Let f(j) be the first derivative of 16*j**2 - 5 + 1/3*j**6 + 19/2*j**4 - 14/5*j**k - 50/3*j**3 - 8*j. Solve f(m) = 0 for m.
1, 2
Suppose -4*k**5 - 673*k**2 + 2148*k + 177*k**2 - 696*k**3 - 104*k**4 - 1448*k + 600 = 0. Calculate k.
-15, -10, -1, 1
Suppose 0 = 5*z - 3*b - 1559, 3*z - 55 = -5*b + 860. Let -4*w**2 - z*w**3 + 5*w**5 + 3*w**4 - 8*w**2 + 298*w**3 + 2*w**5 - 4*w**5 = 0. What is w?
-2, -1, 0, 2
Factor -1/8*k**4 - 11/2 + 17/8*k**3 + 103/8*k - 75/8*k