(w) = q*x(w) + v(w). Factor z(a).
-4*(a + 2)*(a + 5)
Let g(o) be the second derivative of -5*o**5/8 - 745*o**4/12 - 575*o**3/3 + 290*o**2 - 2*o + 4601. Suppose g(a) = 0. Calculate a.
-58, -2, 2/5
Let c(b) be the second derivative of -b**4/108 + 31*b**3/54 - 110*b**2/9 + 635*b. Factor c(a).
-(a - 20)*(a - 11)/9
Let k = -983506/17 + 57854. Determine u so that 10/17*u**4 - 6/17 - 14/17*u - 4/17*u**2 + 2/17*u**5 + k*u**3 = 0.
-3, -1, 1
Let p(k) be the first derivative of -7*k**2 + 20*k - 44 + 3/2*k**4 - 28/3*k**3. Factor p(o).
2*(o - 5)*(o + 1)*(3*o - 2)
Let g(f) be the third derivative of -1/90*f**6 + 4/5*f**5 + 2*f - 18*f**4 - 15*f**2 + 0*f**3 + 0. Find w, given that g(w) = 0.
0, 18
Let a(r) be the third derivative of -r**6/360 - 158*r**5/3 - 1248200*r**4/3 - 15777248000*r**3/9 + r**2 + 1896*r. Find v such that a(v) = 0.
-3160
Let g = -292 + 296. Let 8 + 4*n**3 - 38*n + 16*n**3 - 6*n**2 + 6*n + 8*n**g + 2*n**3 = 0. What is n?
-2, 1/4, 1
Let l(q) = q**4 + q**3 + q**2. Let u(x) = 2*x**4 + 5*x**3 + 10*x**2 + 4*x. Let m = -44 + 35. Let k be (m/(-15))/(1/(-5)). Let n(h) = k*l(h) + u(h). Factor n(w).
-w*(w - 4)*(w + 1)**2
Let g(o) be the first derivative of 3*o**4/8 + 443*o**3/2 + 10478. Suppose g(t) = 0. Calculate t.
-443, 0
Let u(v) be the third derivative of v**6/1800 - v**5/200 - v**4/12 - 7*v**3/6 - 57*v**2. Let o(i) be the first derivative of u(i). Factor o(j).
(j - 5)*(j + 2)/5
Let q be 5/12*-4 - (-88)/24. Factor 2/3*b - 2/3*b**3 - 1/6*b**4 + 1/2 - 1/3*b**q.
-(b - 1)*(b + 1)**2*(b + 3)/6
Let q(o) be the third derivative of o**7/525 - o**6/300 - 7*o**5/75 + 2*o**4/5 + 2099*o**2. Factor q(g).
2*g*(g - 3)*(g - 2)*(g + 4)/5
Let y be (-1 - -1)/((-11 - -7)*(-5)/(-10)). Determine j, given that 2/11*j**2 + y*j - 2/11*j**3 + 0 = 0.
0, 1
Let p(x) = 6*x**4 - x**3 + 116*x**2 + 101*x + 33. Let a(s) = s**4 + 23*s**2 + 20*s + 6. Let c(o) = 11*a(o) - 2*p(o). Find k, given that c(k) = 0.
-3, -1, 0, 6
Let d(m) be the second derivative of 0*m**2 + 10*m + 10 + 4/3*m**3 + 2/15*m**6 - m**4 + 0*m**5. Factor d(l).
4*l*(l - 1)**2*(l + 2)
Let m(s) be the third derivative of s**5/12 - 39*s**4/8 + 23*s**3/3 - 3*s**2 - 314*s. Factor m(b).
(b - 23)*(5*b - 2)
Suppose 3*x = -4*k + 12, -296*x = -295*x. Let r(t) be the first derivative of -2/33*t**k - 2/11*t + 8 + 2/11*t**2. What is d in r(d) = 0?
1
Let l(q) = -2*q**4 - q**3 - q + 2. Let i(n) = 3*n**5 + 3*n**4 + 93*n**3 - 15*n**2 - 60*n + 12. Let k(c) = -i(c) - 18*l(c). Determine b so that k(b) = 0.
-1, 1, 2, 8
Let z(w) be the second derivative of -1/100*w**5 - 72*w + 9/10*w**2 + 3/10*w**3 - 1/60*w**4 + 0. Factor z(n).
-(n - 3)*(n + 1)*(n + 3)/5
Let f(t) = -235*t**2 + 93500*t - 31516815. Let l(i) = -17*i**2 + 6678*i - 2251201. Let x(n) = -4*f(n) + 55*l(n). Factor x(m).
5*(m - 671)**2
Let s(m) be the third derivative of m**6/240 + m**5/6 - 13*m**4/4 + 3028*m**2. Solve s(x) = 0 for x.
-26, 0, 6
Let k(i) be the first derivative of -46/3*i**4 + 80/3*i**3 + 98 - 50/3*i**2 + 16/5*i**5 - 2/9*i**6 + 0*i. Factor k(b).
-4*b*(b - 5)**2*(b - 1)**2/3
Factor 945*p - 19*p**3 + 5*p**2 - 560 + 14*p**3 - 745*p.
-5*(p - 4)**2*(p + 7)
Let q(t) = 2*t**2 - 63*t + 223. Let k be q(4). Let v(l) be the first derivative of -15/8*l - 21 - 7/8*l**k + 33/16*l**2 + 3/32*l**4. Factor v(w).
3*(w - 5)*(w - 1)**2/8
Let j(i) = -4*i**3 - i**2 - i + 1. Suppose 0 = 4*q - 2072 + 2060. Let t(d) = 10*d**3 + d**2 + 15*d - 3. Let m(v) = q*j(v) + t(v). Determine u so that m(u) = 0.
-3, 0, 2
Let c be (2/6)/(53396/10689 - 5). Let b = c - -73. Suppose b*o + 2/7*o**3 + 0 + 4/7*o**2 = 0. Calculate o.
-1, 0
Let q(z) be the first derivative of -z**6/4 - 17*z**5/10 - 27*z**4/8 - 7*z**3/6 + 3*z**2/2 + 1331. Find i, given that q(i) = 0.
-3, -2, -1, 0, 1/3
Let l(y) be the third derivative of 17*y**6/216 - 43*y**5/135 + y**4/54 + 284*y**2. Factor l(i).
i*(i - 2)*(85*i - 2)/9
Let i(t) = 6*t**3 - 660*t**2 + 65454*t + 419624. Let r(n) = 13*n**3 - 1301*n**2 + 130909*n + 839247. Let y(q) = 18*i(q) - 8*r(q). Factor y(o).
4*(o - 187)**2*(o + 6)
Let m(s) be the third derivative of s**8/161280 + s**7/20160 + s**5 + 75*s**2. Let l(x) be the third derivative of m(x). Factor l(a).
a*(a + 2)/8
Suppose -85 = -3*g - 10*r + 5*r, g - r - 39 = 0. Let n be (-49)/21*(-30)/g. Factor -14/3*w**n + 4 + 38/3*w.
-2*(w - 3)*(7*w + 2)/3
Let m(k) be the first derivative of -638/7*k**3 - 25/14*k**6 + 606/7*k**2 - 20 - 216/7*k + 333/28*k**4 + 132/7*k**5. Find p, given that m(p) = 0.
-2, 2/5, 1, 9
Suppose 0 = -10*n + 1060 - 80. Suppose -n = -3*k + 40. Factor -42*q - k*q**2 + 12*q - 51*q**2 + 25 + 102*q**2.
5*(q - 5)*(q - 1)
Let l be (36/(-8))/(-9)*-24. Let q be ((-4)/6)/(2/l). Determine u, given that -2*u - 7*u + u**2 + 12*u - 8*u + q = 0.
1, 4
Let i(f) = -14*f**2 + 4028*f - 2028092. Let q(c) = -74*c**2 + 20140*c - 10140458. Let v(p) = -16*i(p) + 3*q(p). Suppose v(k) = 0. What is k?
1007
Suppose -11*n + 30 = -n. Factor -27*q**3 + 7*q**4 - 21*q**n + 17*q**2 - q**2 + 13*q**4.
4*q**2*(q - 2)*(5*q - 2)
Let w(b) be the second derivative of -b**7/42 - 2*b**6/15 + 3*b**5/5 + b + 212. Find v, given that w(v) = 0.
-6, 0, 2
Let v = -151057/6 + 25177. Let d(q) be the first derivative of 0*q + 1/9*q**6 + 4/3*q**2 + 2/3*q**3 - 2/5*q**5 - v*q**4 + 24. Solve d(h) = 0.
-1, 0, 1, 4
Let i be (-24)/1152*-90 + (-1)/(-8). Let v(q) be the second derivative of 0 - 1/3*q**4 - 4*q + 4*q**3 - 18*q**i. Solve v(c) = 0.
3
Let m(f) = f**2 - 19*f - 4. Let l be m(27). Factor 3*n**2 + 13*n**2 - l*n - 11 - 14 + 77.
4*(n - 13)*(4*n - 1)
Let t(a) = 2*a**3 - 3*a**2 + 8*a - 3. Let x be t(2). Factor -3*z**3 + x*z**2 - 14*z**2 + 12*z**2.
-3*z**2*(z - 5)
Suppose -4*r = 3*s - 325, -4*s = 39*r - 43*r + 360. Let x be 3 - ((-51)/r - 18/(-5)). What is o in -14/3*o**4 + 2*o**5 + 8/3*o**2 + 0 + x*o + 0*o**3 = 0?
-2/3, 0, 1, 2
Find x, given that -57*x**5 - 787*x**4 - 11115916*x + 561072*x - 18190660*x**2 - 206718*x**3 - 7429884*x + 56*x**5 = 0.
-262, -1, 0
Let g(a) be the second derivative of -a**4/54 + 221*a**3/9 - 662*a**2/9 - 2979*a. Determine k so that g(k) = 0.
1, 662
Let c(j) be the second derivative of j**7/1680 - j**6/960 - j**5/240 + 32*j**2 + 23*j + 1. Let n(d) be the first derivative of c(d). Let n(t) = 0. What is t?
-1, 0, 2
Let d(f) = 77*f + 357. Let p be d(-10). Let t = p - -8677/21. Factor 16/7*a**2 - 6/7*a - t + 32/3*a**3.
2*(4*a + 1)**2*(7*a - 2)/21
Suppose -11352*t + 11349*t = -6. Factor -12/11*l**t + 2/11*l**3 - 2/11*l + 12/11.
2*(l - 6)*(l - 1)*(l + 1)/11
Let t(j) be the second derivative of -5*j**4/12 - 65*j**3/2 + 675*j**2 + 9*j + 97. Let t(n) = 0. Calculate n.
-45, 6
Let h(p) be the first derivative of -p**4/20 - 2*p**3/15 + 9*p**2/10 + 18*p/5 + 1165. Factor h(n).
-(n - 3)*(n + 2)*(n + 3)/5
Let f(d) = -46*d + 1015. Let l be f(22). Let n(z) be the first derivative of 3/2*z**2 + 5 + 1/2*z**l + 0*z. Solve n(c) = 0.
-2, 0
Let x(i) be the first derivative of -i**6/40 + 11*i**5/60 + i**4/6 - 159*i**2/2 - 42. Let y(z) be the second derivative of x(z). What is m in y(m) = 0?
-1/3, 0, 4
Factor 2/5*c**3 + 98/5*c**2 + 1312/5 + 688/5*c.
2*(c + 4)**2*(c + 41)/5
Suppose 13*b - 20 = 19. Let x(o) be the first derivative of -23 + 1/4*o**2 - 3/2*o + 5/18*o**b + 1/24*o**4. Factor x(t).
(t - 1)*(t + 3)**2/6
Factor -19608/5*q - 24029604/5 - 4/5*q**2.
-4*(q + 2451)**2/5
Let z(r) be the first derivative of -1/6*r**4 + 0*r - 4*r**2 - 1/120*r**6 - 1/15*r**5 + 0*r**3 - 3. Let c(x) be the second derivative of z(x). Solve c(n) = 0.
-2, 0
Let q be 7/(-2)*4800/(-1400). Let l(s) be the second derivative of -8/5*s**5 - 17*s + 0 - 5*s**2 + 13*s**3 - q*s**4. Solve l(h) = 0.
-5, 1/4
Let w(f) be the second derivative of -5*f**4/12 - 205*f**3/2 + 310*f**2 + 1010*f. Solve w(a) = 0 for a.
-124, 1
Suppose p - 31 + 27 = 0. Suppose -2 = -5*u - 2*f, 0 = 5*f - p - 1. Determine c, given that 6 - 4 + u*c + 5*c**2 - 10*c + 3 = 0.
1
Let y(m) be the third derivative of -35*m**4/12 + 211*m**3/3 - m**2 - 85. Let i be y(6). Factor 0*l + 2/3*l**i + 0*l**3 + 0 - 2/3*l**4.
-2*l**2*(l - 1)*(l + 1)/3
Factor 3/2*y**2 + 228 - 117*y.
3*(y - 76)*(y - 2)/2
Let u(w) be the third derivative of w**5/60 - 67*w**4/168 - 5*w**3/7 + 719*w**2. Factor u(s).
(s - 10)*(7*s + 3)/7
Let o(f) be the first derivative of -5*f**3/12 + 1345*f**2/8 + 1020*f - 12381. Find z, given that o(z) = 0.
-3, 272
Factor -21 - 