rd derivative of -m**6/40 + 3*m**5/5 + m**4/2 - 120*m**3 + 42*m**2 + 42. Factor s(k).
-3*(k - 10)*(k - 6)*(k + 4)
Let q(x) be the second derivative of -x**6/30 - 17*x**5/20 + 37*x**4/12 - 19*x**3/6 - 2*x - 218. Determine w, given that q(w) = 0.
-19, 0, 1
Suppose -57*b = -45*b - 24. Factor -5*j**b - 42*j - 110 + 150 + 7*j.
-5*(j - 1)*(j + 8)
Let j(h) be the second derivative of 119*h**5/90 + 472*h**4/27 - 76*h**3/27 - 32*h**2/3 - 1281*h. Let j(o) = 0. Calculate o.
-8, -2/7, 6/17
Let t(m) be the first derivative of -m**4/46 - 458*m**3/23 + 1377*m**2/23 - 1378*m/23 + 10826. Factor t(h).
-2*(h - 1)**2*(h + 689)/23
Let w = -52 + 50. Let o = w - -30. What is x in -4*x**2 + 32 + o*x + 19*x - 39*x = 0?
-2, 4
Let r(m) be the third derivative of -m**6/48 + 23*m**5/8 + 305*m**4/8 + 370*m**3/3 - 2010*m**2. Factor r(d).
-5*(d - 74)*(d + 1)*(d + 4)/2
Let p(y) be the second derivative of 2*y**7/63 - 2*y**6/5 + 29*y**5/15 - 13*y**4/3 + 4*y**3 + 19*y + 128. Determine f, given that p(f) = 0.
0, 1, 2, 3
Solve -83*l + 30*l**2 + 66 + 12*l**3 - 2 - 13*l**3 - 10 = 0.
1, 2, 27
Determine l so that -441800*l - 1/2*l**3 + 0 + 940*l**2 = 0.
0, 940
Suppose 6*n - 3 = 9. Suppose 4*y - 24 = -n*m - 2*m, -3*m + 22 = 4*y. Factor 3*d**2 - 15*d - y + 10 + 3*d**2.
3*(d - 2)*(2*d - 1)
Let t = 81179 - 81179. Suppose -3*u - 12 = k, -9 + 3 = 3*k + 3*u. Determine y, given that 1/3*y**k + 3*y**2 + t*y + 0 = 0.
-9, 0
Let x(l) be the first derivative of 0*l - 2/35*l**5 + 1/7*l**2 - 1/14*l**4 + 2/21*l**3 + 59. Factor x(g).
-2*g*(g - 1)*(g + 1)**2/7
Let a(f) be the third derivative of 2 + 11/30*f**5 + 5/6*f**4 + 0*f + 25*f**2 + 1/60*f**6 + 0*f**3. Find i such that a(i) = 0.
-10, -1, 0
Let c(m) be the second derivative of -m**6/30 - 19*m**5/40 + 11*m**4/6 + 115*m**3/12 - 33*m**2/2 - 8643*m + 1. Solve c(d) = 0.
-11, -2, 1/2, 3
Let g(l) = -l - 9. Let p = -620 + 606. Let o be g(p). Factor 0*y**4 - 1/3*y**2 + 0 + 0*y - 1/2*y**3 + 1/6*y**o.
y**2*(y - 2)*(y + 1)**2/6
Suppose 2*q + 3*r = -3, -21 = -2*q - 5*r - 30. Factor 0*a**q - 4*a**3 + 26*a**2 - 36*a - 2*a**2 + 123 - 107.
-4*(a - 4)*(a - 1)**2
Let h(g) be the third derivative of 0 - 1/48*g**4 - 14*g**2 + 0*g + 1/432*g**6 - 7/360*g**5 - 19/6*g**3. Let w(f) be the first derivative of h(f). Factor w(v).
(v - 3)*(5*v + 1)/6
Suppose -10*d + 153 + 7 = 0. Let a(c) = -c**2 + 13*c + 51. Let l be a(d). Solve 0 + 0*m + 1/2*m**l + 0*m**2 - 2*m**4 = 0 for m.
0, 1/4
Let z(j) = -j + 4. Let k be z(-2). Let r(g) = g**3 - 5*g**2 - 7*g + 9. Let v be r(k). Factor h**v - 21*h**3 - 2*h**4 + 8*h**4 - h**4.
5*h**3*(h - 4)
Let u be 1/((-15300)/666 - -23). Find x, given that 1/2*x + 2 - 18*x**2 - 28*x**4 - u*x**3 - 15/2*x**5 = 0.
-1, 4/15
Let q(l) be the third derivative of 2 + 0*l**3 - 1/8*l**5 + 0*l + 1/160*l**6 + 6*l**2 + 1/2*l**4. Solve q(o) = 0.
0, 2, 8
Let r(s) be the first derivative of s**5 - 525*s**4/4 - 535*s**3 - 1615*s**2/2 - 540*s + 201. Find u, given that r(u) = 0.
-1, 108
Let i(y) be the first derivative of -y**4/22 - 8*y**3/33 - 3*y**2/11 + 3844. Let i(x) = 0. Calculate x.
-3, -1, 0
Let u be 20/(-7) + -46 + (-116 - -170). Factor 29/7*i - i**2 + u.
-(i + 1)*(7*i - 36)/7
Suppose -p - 62 = 29626*b - 29627*b, -b - p + 28 = 0. Factor 3/2*w**2 - 51/2*w + b.
3*(w - 15)*(w - 2)/2
Suppose -5*c + 188 - 178 = 0. Solve 33*n - 1180 - 4*n**c + 137*n - 1320 + 30*n = 0.
25
Let f = 91278 + -91276. Factor 2/5 - 6/5*d**4 + 6/5*d + 4/5*d**f - 2/5*d**5 - 4/5*d**3.
-2*(d - 1)*(d + 1)**4/5
Let l(m) be the first derivative of -157*m**3/6 + 159*m**2/4 - m - 289. Solve l(z) = 0.
2/157, 1
Let x be (1381/(-5))/(-2*12/120). Let p = x + -1381. Factor p + 3/2*b**2 - 2*b**3 + 1/2*b.
-b*(b - 1)*(4*b + 1)/2
Let 9456/5 + 9468/5*a + 2376/5*a**2 + 3/5*a**3 = 0. Calculate a.
-788, -2
Let z(u) = 2*u**3 - 5*u**2 - 1. Let w(f) = 15*f**3 - 32*f**2 - 28*f + 7. Let m(b) = -2*w(b) + 10*z(b). Determine q, given that m(q) = 0.
-2, 2/5, 3
Let i(h) = 2 - h**2 - 2*h**2 + 5*h**2 + 0*h**2 - 2*h. Let v be i(1). Find n, given that -29*n - 5*n**2 + 26*n + v*n**2 = 0.
-1, 0
Suppose 562*i + 0 + 0 = 546*i. Suppose -51/4*g**3 + 25*g**5 - 10*g**4 - 9/4*g**2 + 0*g + i = 0. What is g?
-3/10, 0, 1
Let v(m) be the third derivative of m**6/1980 - 35*m**3/6 + 31*m**2. Let h(g) be the first derivative of v(g). Solve h(i) = 0 for i.
0
Suppose 638*r + 72 = 629*r. Let a be r*14/(-24) + 2/(-3). Factor 1/4*x**2 + 0 + 0*x - 1/4*x**a + 0*x**3.
-x**2*(x - 1)*(x + 1)/4
Let z = 5/1684 - -6711/8420. Factor -4/5*a - z*a**3 - 8/5*a**2 + 0.
-4*a*(a + 1)**2/5
Factor 3538/9*u**2 + 391612/9*u + 8/9*u**3 + 97682/9.
2*(u + 221)**2*(4*u + 1)/9
Let n = 86/495 + 634/495. Determine a, given that 0*a - 28/11*a**4 - 6/11*a**5 + 0 - 40/11*a**3 - n*a**2 = 0.
-2, -2/3, 0
Let t(d) be the third derivative of d**6/240 + 118*d**5/15 + 13924*d**4/3 - 10641*d**2. Factor t(x).
x*(x + 472)**2/2
Factor 2/21*q**2 + 80864/3 + 304/3*q.
2*(q + 532)**2/21
Let d be ((-330)/225)/(-11)*(-9)/(-6). Factor 2/5*j**2 - 1/5*j + d*j**3 - 2/5.
(j - 1)*(j + 1)*(j + 2)/5
Find r, given that 776/3*r**3 + 940/9*r**4 + 50/9*r**5 + 1424/9*r**2 + 256/9*r + 0 = 0.
-16, -2, -2/5, 0
Suppose -2*u + 4*h + 74 = 0, -2*h - 4 = 4. Factor 33*z**3 + 4*z + 18*z**2 + u*z - 63*z**3 + 18 + 33*z**3.
3*(z + 1)*(z + 2)*(z + 3)
Let m(n) be the second derivative of 10/3*n**3 + 1/4*n**5 - 5/3*n**4 + 4*n + 14 + 0*n**2. Determine o so that m(o) = 0.
0, 2
Suppose -20*n - 2 + 2 = 0. Suppose 2*l + 8 = -n, -4*l - 14 = z. Factor 4/7*o**3 + 2/7*o**z + 1/7*o**4 - 3/7 - 4/7*o.
(o - 1)*(o + 1)**2*(o + 3)/7
Let s be 28/(-182) + (-28)/(-13). Let z be 2*72/32 + (-8)/s. Factor 0 + q - z*q**2.
-q*(q - 2)/2
Let w be ((-340)/(-3230))/(12/57). Factor 7/8*y**2 - w + 3/2*y.
(y + 2)*(7*y - 2)/8
Let u(a) be the second derivative of -7/15*a**5 + 0 + 25*a - 25/3*a**2 - 1/5*a**6 + 5/3*a**3 - 1/63*a**7 + 17/9*a**4. Determine z so that u(z) = 0.
-5, -1, 1
Let l(b) = 11*b**2 - 40*b - 323. Let p(k) = 5*k**2 + k + 10. Let v(n) = 3*l(n) - 6*p(n). What is w in v(w) = 0?
-7, 49
Let a(n) = n**4 - n + 1. Let y(t) = 2*t**4 - 5*t**3 + 7*t**2 - 4*t + 1. Suppose -p + 28 = 5*g, -5*g + 9 + 4 = -4*p. Let s(j) = g*y(j) - 5*a(j). Factor s(b).
5*b*(b - 3)*(b - 1)**2
Find z, given that -2306/3*z**3 + 1/3*z**4 + 1329409/3*z**2 + 0 + 0*z = 0.
0, 1153
Suppose -3892*k = -3857*k - 875. Let b(j) be the third derivative of 1/24*j**6 + k*j**2 + 0*j**4 + 10/3*j**3 - 1/4*j**5 + 0 + 0*j. Solve b(t) = 0.
-1, 2
Let i(z) = z**3 + 5*z**2 + 4*z - 21. Let s be i(-6). Let x be 3*(-6)/s - 85/(-225). Let -j**3 + x*j**4 + 0*j + 2/5*j**2 + 0 = 0. Calculate j.
0, 2/3, 1
Let j(a) be the second derivative of -a**6/60 - 99*a**5/40 - 31*a**4/8 + 487*a**3/12 - 147*a**2/2 - 14276*a. Let j(l) = 0. Calculate l.
-98, -3, 1
Let k(g) be the first derivative of g**6/10 + 219*g**5/25 + 21*g**4/2 - 144*g**3/5 - 91. Let k(s) = 0. Calculate s.
-72, -2, 0, 1
Let v(b) be the third derivative of -b**5/60 + b**4/3 + 10*b**3/3 - 798*b**2. Let v(y) = 0. Calculate y.
-2, 10
Let c(k) be the second derivative of 7/15*k**4 + 3 - 1/5*k**2 - 23*k + 13/15*k**3. Suppose c(p) = 0. What is p?
-1, 1/14
Factor 1/3*p**3 + 92/3*p + 104 - 10*p**2.
(p - 26)*(p - 6)*(p + 2)/3
Let n(h) be the first derivative of h**5/25 + h**4/2 - 91*h**3/15 + 8*h**2 - 1595. Suppose n(c) = 0. What is c?
-16, 0, 1, 5
Let b be 224254/(-162765) + (-16)/(-10). Factor 0 - 80/3*a**3 - 32*a**2 - b*a**5 + 0*a + 46/9*a**4.
-2*a**2*(a - 12)**2*(a + 1)/9
Let u be (14/10)/((-204)/(-13260)). Suppose -5*s + 555 = 100. Factor 3 - s*d**2 - 3*d**3 - u*d**2 + 179*d**2 + 3*d.
-3*(d - 1)*(d + 1)**2
Let f(o) be the first derivative of -4*o**3/15 - 198*o**2/5 - 392*o/5 + 1680. Factor f(t).
-4*(t + 1)*(t + 98)/5
Factor -544/7*z**2 - 4/7*z**3 + 0*z + 0.
-4*z**2*(z + 136)/7
Let m = 1580413/7 - 225773. Solve m*w**4 - 2*w**3 - 2/7*w**2 + 2*w + 0 = 0 for w.
-1, 0, 1, 7
Suppose -5*z + 10*z = 10. Solve z*s**3 - 13277*s**2 - 3*s**3 + 13261*s**2 = 0 for s.
-16, 0
What is m in 77/5 - 18/5*m + 1/5*m**2 = 0?
7, 11
Let l(g) = -22*g**3 - 105*g - 47*g**2 - 14*g**2 - 46 - 6. Let a(t) = 7*t**3 + 21*t**2 + 35*t + 17. Let r(b) = -7*a(b) - 2*l(b). Let r(u) = 0. Calculate u.
-3, -1
Let u(r) be the first derivative of 1/2*r**3 - 3 - 2*r + 0*r**2 - 21/40*r**5 - 5/8*r**4. Let j(g) be the first derivative of u(g). Let j(a) = 0. Calculate a.
-1, 0, 2/7
Let y(l) be the 