 m(a) be the second derivative of 0 - 6*a**3 - 3*a + 54*a**2 + j*a**4. Factor m(z).
3*(z - 6)**2
Let r(d) be the third derivative of -d**6/24 + 25*d**5/3 - 1435*d**4/24 - 970*d**3/3 + 2339*d**2. Solve r(w) = 0 for w.
-1, 4, 97
What is f in 4/3*f + 1/3*f**2 - 1/3*f**3 - 4/3 = 0?
-2, 1, 2
Let q(i) be the first derivative of 3/2*i**2 + 0*i**4 + 1/5*i**5 - 12 + 0*i - 8/3*i**3 - 1/30*i**6. Let n(t) be the second derivative of q(t). Factor n(v).
-4*(v - 2)**2*(v + 1)
Let f(b) = -2*b**2 - 18*b - 14. Let d be f(-8). Let z(v) be the first derivative of 76*v**2 - 204*v**d + 0*v + 92*v**2 + 11*v**3 - 13 + 12*v. Factor z(i).
3*(i - 2)*(11*i - 2)
Let n be ((-10)/55 - 302/(-88)) + (-69)/23. Find a such that -7*a**2 + n*a**3 + 49*a + 0 = 0.
0, 14
Let h(v) = -7*v**3 - 49*v**2 + 502*v - 1726. Let u(y) = 60*y**3 + 395*y**2 - 4019*y + 13807. Let q(k) = -51*h(k) - 6*u(k). Factor q(i).
-3*(i - 27)*(i - 8)**2
Let -10/7*n**5 - 26/7*n**3 + 24/7*n + 44/7*n**4 + 0 - 8*n**2 = 0. Calculate n.
-1, 0, 2/5, 2, 3
Suppose -5*m + 17 = 123*c - 124*c, -c - 17 = 5*m. Factor m - 14/3*v**2 + 0*v**3 - 4*v + 2/3*v**4.
2*v*(v - 3)*(v + 1)*(v + 2)/3
Factor 273*c + 3237 - 6208 + 78*c**2 + 3*c**3 + 3169.
3*(c + 1)*(c + 3)*(c + 22)
Let j(v) be the second derivative of 1/9*v**3 - 79*v + 1/60*v**5 + 0 + 0*v**2 + 1/12*v**4. Factor j(m).
m*(m + 1)*(m + 2)/3
Let o(m) be the first derivative of m**5/20 - 57*m**4/8 + 688*m**3/3 + 14457*m**2/4 + 26047*m/4 - 4747. Solve o(u) = 0.
-7, -1, 61
Suppose 0 = 2*u - 17*q + 21*q + 10, 5*u = 5*q + 35. Find l, given that -1/3*l**u + 0*l + 0 + 1/3*l**5 + 0*l**4 + 0*l**2 = 0.
-1, 0, 1
Let h(w) = w - 7. Let r = 43 - 26. Let q be h(r). Factor -q*o - 5*o**2 - 8 + 8 + 10 + 5.
-5*(o - 1)*(o + 3)
Let f = 17/165 - -59/495. Factor 2/9 + f*j**2 - 4/9*j.
2*(j - 1)**2/9
Let z(q) = 1. Let h(w) = -38*w + 526. Let p(v) = -h(v) - 4*z(v). Let g be p(14). Let -2*c**3 - 2*c - 16/3*c**g + 4/3 = 0. What is c?
-2, -1, 1/3
Determine c, given that -4 + 48*c**2 - 224*c**3 + 25 + 228*c**4 - 21 = 0.
0, 6/19, 2/3
Let f(a) be the third derivative of 5*a**8/168 - 2*a**7/35 - 7*a**6/30 + 4*a**5/15 + 3*a**4/4 - 2*a**3/3 - a**2 + 1050. Solve f(q) = 0 for q.
-1, 1/5, 1, 2
Let y(i) be the third derivative of i**5/390 - 1777*i**4/78 + 3157729*i**3/39 + i**2 + 4303*i. Factor y(b).
2*(b - 1777)**2/13
Suppose s + z - 32 = 5*s, s - 4*z = -23. Let n = -4 - s. Factor 3*i**n - 9 + 11 - 2 - 6*i**2.
3*i**2*(i - 2)
Let r be (-15 - (-2736)/128) + -12*(28/(-8) + 4). Determine v so that 99/2*v - 3267/2 - r*v**2 = 0.
66
Let v(t) = 31*t**2 - 337*t + 990. Let h(z) = -52*z**2 + 672*z - 1978. Let p(c) = -3*h(c) - 5*v(c). Suppose p(y) = 0. Calculate y.
3, 328
Let y(n) be the third derivative of n**7/210 - 17*n**6/40 - 53*n**5/30 - 559*n**2 - 1. Find q such that y(q) = 0.
-2, 0, 53
Suppose 0 = -v + 726 + 794. Factor 50*p**3 - v*p + 800 + 642*p**2 + 2*p**4 - 12*p**3 + 38*p**3.
2*(p - 1)**2*(p + 20)**2
Suppose o - 1657*c = -1652*c + 3, -2*o - 3*c + 6 = 0. Factor 4/3*j + 125/6*j**4 + 25*j**o + 10*j**2 + 0.
j*(5*j + 2)**3/6
Let c(i) be the second derivative of -i**5/180 + 5*i**4/108 + 29*i**3/27 + 44*i**2/9 + 778*i. Find v such that c(v) = 0.
-4, -2, 11
Let p(l) be the first derivative of -l**8/840 + l**7/420 + l**6/45 - l**5/15 + 94*l**3/3 - 183. Let w(r) be the third derivative of p(r). Solve w(k) = 0.
-2, 0, 1, 2
Let y(j) be the second derivative of -j**6/120 + 9*j**5/80 - j**4/16 - 145*j**3/24 + 75*j**2/2 + 9*j - 114. Find z such that y(z) = 0.
-4, 3, 5
Let u be 28/49 - (1 + (-38)/7). Suppose 4*n + r = u*n - 3, -n + 5*r = 1. Factor 38*y**3 + 29*y + 49 - 26*y**3 - 113*y + 22*y**2 + y**n.
(y - 1)**2*(y + 7)**2
Let w(c) be the third derivative of -c**5/30 + 239*c**4/12 + 242*c**3 - 172*c**2. Solve w(x) = 0 for x.
-3, 242
Let b = -2/45 + 17/45. Let j(h) = h**3 + 35*h**2 - 90*h - 548. Let c be j(5). Factor -b*l + 4/3 - 5/6*l**c - 1/6*l**3.
-(l - 1)*(l + 2)*(l + 4)/6
Let c = -254/35 - -3083/420. Let i(t) be the third derivative of 0 - 5/8*t**4 + 23*t**2 + 10/3*t**3 + 0*t - c*t**5. Factor i(j).
-5*(j - 1)*(j + 4)
Suppose 54 = 10*h - 66. Find r, given that -80 + r**2 + h*r + 2*r**2 - 106 - 76*r - 23*r = 0.
-2, 31
Let m be ((-714)/(-252))/((-34)/(-2)). Factor 8/3 - m*n**2 - n.
-(n - 2)*(n + 8)/6
Let u(f) be the second derivative of 1/49*f**7 - 4/7*f**4 + f - 3/35*f**5 + 2/35*f**6 - f**3 - 6/7*f**2 - 4. Factor u(s).
6*(s - 2)*(s + 1)**4/7
Suppose 2*j + 284 - 269 = 3*b, -13 = -2*j - b. Determine o, given that 0 - 61/2*o**2 + 29/2*o**j + 1/2*o**4 + 31/2*o = 0.
-31, 0, 1
Let -1/4*s**2 + 221/2*s - 48841/4 = 0. Calculate s.
221
Let q be ((42/15)/(-7))/(10 + 212/(-20)). Factor -10*c + q*c**2 - 32/3.
2*(c - 16)*(c + 1)/3
Let p(c) be the first derivative of 3*c**4/4 + 47*c**3/8 - 9*c**2/8 - 7246. Factor p(d).
3*d*(d + 6)*(8*d - 1)/8
Let l be 105/1242*3 + 5/(-20). Let i = 2479/1380 + l. Suppose -3/5*u**3 + 3/5*u - i + 9/5*u**2 = 0. Calculate u.
-1, 1, 3
Let d(u) be the first derivative of 3*u**4/16 + 2259*u**3/2 + 5103081*u**2/2 + 2561746662*u - 6491. Factor d(j).
3*(j + 1506)**3/4
Factor -97249*o + 2*o**4 - 7*o**4 - 65*o**3 - 195*o**2 + 97114*o.
-5*o*(o + 1)*(o + 3)*(o + 9)
Suppose 200/7*w + 230/7*w**2 + 18/7*w**3 + 0 - 2/7*w**5 - 2*w**4 = 0. Calculate w.
-5, -1, 0, 4
Determine q, given that 10207507 + 2*q**2 + 7737920 - 3804865 - 10636*q = 0.
2659
Let w(p) = 12*p**2 - 8*p**2 + 11*p**3 + 12*p**2 - 2*p**2 - 24*p - 6*p**4. Let g(m) = 2*m**4 - 4*m**3 - 4*m**2 + 8*m. Let s(o) = 14*g(o) + 4*w(o). Factor s(v).
4*v*(v - 2)**2*(v + 1)
Let r(t) = 3*t**3 - 2*t**3 + 7*t**2 - 5 - 7 - 20*t + 24*t. Let i be r(-6). Find a such that -50*a**2 - 1 + i + 49*a**2 - 2*a = 0.
-1
Let o = -61639/4 + 15410. Let r(u) be the third derivative of -o*u**4 + 0*u - 1/30*u**5 - 45*u**2 + 0 + 4/3*u**3. Find b, given that r(b) = 0.
-4, 1
Let h(z) = 11*z - 160. Let w be h(15). Let i be 2/(3 + (-10)/w). Factor 0 - 2/3*v - 8/3*v**i.
-2*v*(4*v + 1)/3
Let o(x) be the third derivative of x**6/360 - 13*x**5/180 + 7*x**4/36 + 44*x**3/9 - 662*x**2 + 9*x. Let o(u) = 0. Calculate u.
-2, 4, 11
Let z(s) = 396*s - 60168. Let q be z(152). Factor q*c**2 + 3/2*c**3 + 0*c + 0.
3*c**2*(c + 16)/2
Let 128/5 - 40*f - 18/5*f**3 + 104/5*f**2 = 0. Calculate f.
16/9, 2
Let p(z) = -15*z**2 - 84*z + 87. Let h(t) = -9*t**2 + 21315*t - 3*t**2 + 86 - 21399*t. Let d(m) = -6*h(m) + 5*p(m). Solve d(w) = 0.
1, 27
Suppose 8*x - x = -3*x. Suppose -h - 3*r = 7, x*h + 22 = 5*h - 4*r. Find o such that 4*o**2 - 2*o - 2*o - 2*o**h - 4*o = 0.
0, 4
Let i = 479175 - 3354196/7. What is t in -i*t + 24/7 + 4/7*t**2 + 1/7*t**3 = 0?
-8, 1, 3
Let k(m) be the third derivative of m**6/30 + 2*m**5/5 - 91*m**4/6 - 203*m**2 - 2*m. Solve k(q) = 0.
-13, 0, 7
Let o(x) = x**2 - 1. Let v be o(-2). Factor r - r**v + 69 - 69.
-r*(r - 1)*(r + 1)
Let j(g) = -g**4 - 4*g**3 + 31*g**2 - 8*g - 36. Let q(r) = r**3 - r**2 + r + 2. Let b(m) = -j(m) - 6*q(m). Determine u, given that b(u) = 0.
-4, -1, 1, 6
Let w(l) = -l**2 + 8*l - 4. Let y be w(7). Let a be 40/22 + -5*(-16)/440. Solve 7*s**3 - 4*s**y + 34*s + 30*s**a + 14*s + 36 - 9*s**2 = 0 for s.
-3, -2
Suppose -r - g + 115 = 0, 11*r + g = 9*r + 229. Factor -75*t**4 + 168*t**2 - r*t**3 - 39*t - 51*t**3 + 3*t.
-3*t*(t + 3)*(5*t - 2)**2
Let m be 98/(-20) + 17677/3214. Find f such that -12/5*f**3 - 48/5 - 9/5*f**4 + 0*f + 48/5*f**2 + m*f**5 = 0.
-2, -1, 2
Suppose -5/2*z**3 + 5 + 5/2*z - 15/2*z**2 + 5/2*z**4 = 0. Calculate z.
-1, 1, 2
Let l(p) be the third derivative of -p**7/3360 - 7*p**6/960 + p**5/20 - 3*p**4/8 + p**3/6 + 93*p**2. Let q(n) be the second derivative of l(n). Factor q(x).
-3*(x - 1)*(x + 8)/4
Let s = 14579/64998 - 15/7222. Determine m, given that 22/9 - 14/3*m + 2*m**2 + s*m**3 = 0.
-11, 1
Let n be 10/15 + (-12)/(-9) + 2. Let r be 966/9 - (55/(-15) + n). Suppose -40*h - r*h**2 + 15*h**2 + 2*h**2 + 3*h**3 + 22*h**3 = 0. What is h?
-2/5, 0, 4
Let d(r) = -90*r**2 + 716*r + 36. Let g be d(8). Let c(n) be the first derivative of 10 + 4/3*n**3 - g*n + n**4 - 2*n**2. Factor c(i).
4*(i - 1)*(i + 1)**2
Let z(o) be the second derivative of -5*o**4/12 + 75*o**3/2 + 115*o**2 + 638*o. Factor z(u).
-5*(u - 46)*(u + 1)
Let u(x) be the second derivative of x**7/112 - x**6/40 + 3*x**5/160 + 3983*x. What is z in u(z) = 0?
0, 1
Suppose 3*n + 4*u + 2279 = 2280, -n + 2*u = -7. Determine h 