o - 9*q - 7 - 15/16*q**4 + 15*q**2. Factor t(y).
-3*(y - 1)*(y + 6)*(5*y - 2)/4
Let k(a) be the second derivative of a**5/20 - 14*a**4 + 1568*a**3 - 87808*a**2 + 292*a - 2. Factor k(o).
(o - 56)**3
Let w be 15/20 + 51/(-72). Let x(t) be the third derivative of 1/120*t**6 + 0 + 1/30*t**5 + 0*t - 8*t**2 - w*t**4 - 1/3*t**3. Determine p, given that x(p) = 0.
-2, -1, 1
Let k(n) be the first derivative of -n**6/10 + 18*n**5/25 + 3*n**4/5 - 56*n**3/5 + 384*n/5 + 532. Suppose k(t) = 0. Calculate t.
-2, 2, 4
Let b(a) be the second derivative of -5*a**5/16 + 295*a**4/48 - 333*a**3/8 + 729*a**2/8 + 2*a + 1728. Factor b(p).
-(p - 1)*(5*p - 27)**2/4
Suppose 0 = a - 5*o + 63, -5*a - o = -5*o + 273. Let p = 56 + a. Let 26*g**3 + p*g**3 - 18*g**2 + 48*g - 3*g**4 - 54*g**2 - 2*g**3 = 0. What is g?
0, 1, 4
Let x(a) = 5*a**2 + 7*a - 4. Let y = 42 - 38. Let i be (-15)/y - (-6)/8. Let f(h) = -h**2 + h - 1. Let w(k) = i*x(k) + 6*f(k). Solve w(b) = 0 for b.
-1, 2/7
Let s(z) = z**3 + 7*z**2 - 5*z + 14. Let v be s(-7). Let t = v - 45. Find i, given that -100*i + 6*i**t - 56*i**3 - 2*i**4 + 140*i**2 + 12*i**3 = 0.
0, 1, 5
Determine o, given that -1/2*o**2 + 133*o + 267/2 = 0.
-1, 267
Let c(i) be the second derivative of -i**7/1260 + i**6/270 + i**5/60 - i**3/6 + 24*i**2 - 15*i - 2. Let w(f) be the second derivative of c(f). Solve w(v) = 0.
-1, 0, 3
Let a(b) be the first derivative of -2*b**3 + 18*b**2 + 21*b**2 + 3*b**3 - 42*b**2 - 100. Factor a(z).
3*z*(z - 2)
Let n(v) be the third derivative of -2*v**7/945 + 17*v**6/135 - 56*v**5/135 - 128*v**4/27 - 6*v**2 - 39*v. Find x such that n(x) = 0.
-2, 0, 4, 32
Let o = 61 + -63. Let t(m) = -m**4 - 2*m**3 + m**2 + 1. Let r(y) = 8*y**3 - 4*y - 2. Let z(s) = o*t(s) - r(s). Factor z(i).
2*i*(i - 2)*(i - 1)*(i + 1)
Let n(p) be the third derivative of -p**5/100 + 7*p**4/10 + 93*p**3/10 + 1882*p**2. Factor n(x).
-3*(x - 31)*(x + 3)/5
Suppose -42 = z - 261. Let -86*v - 6721*v**4 + z*v**2 - 51*v**3 - 10*v + 6490*v**4 + 147*v**5 + 12 = 0. What is v?
-1, 2/7, 1
Suppose -5*a + 256 = 236. Factor 15*y**2 + 15*y - 5*y**2 + 5*y**5 - 10*y**a - 21*y**3 + y**3.
5*y*(y - 3)*(y - 1)*(y + 1)**2
Let g be (-1428)/245*(-3880)/16. Let n = -1412 + g. Factor -2*d - n*d**3 + 18/7*d**2 + 4/7 + 2/7*d**4.
2*(d - 2)*(d - 1)**3/7
Let i be (-3)/(-2)*(-3 - -11)*(7 + (-854)/140). Find z such that -52/5*z + 2/5*z**2 - i = 0.
-1, 27
Let h = -15378 - -15384. Let p(w) be the second derivative of 5/42*w**7 + 0 - 1/4*w**5 - 37*w - 10*w**2 - 55/12*w**4 + 1/2*w**h - 10*w**3. Factor p(q).
5*(q - 2)*(q + 1)**3*(q + 2)
Let l(h) be the third derivative of 1/2*h**3 + 0 + 4*h**2 + 0*h + 0*h**4 - 1/80*h**5. Factor l(o).
-3*(o - 2)*(o + 2)/4
Let b(z) be the third derivative of -z**8/168 + 67*z**7/315 - 56*z**6/45 - 2*z**5 + 836*z**2. What is p in b(p) = 0?
-2/3, 0, 5, 18
Let a(b) = b**5 + b**2. Let x(g) = -8*g**5 - 3*g**4 + 3*g**3 - 2*g**2. Suppose 7*m + 5*q = 6*m - 24, 3*q + 16 = m. Let n(u) = m*x(u) + 5*a(u). Factor n(o).
-3*o**2*(o - 1)*(o + 1)**2
What is g in 53*g**2 - 33*g**2 - 84*g**4 + 64*g**2 + 10*g**3 - 158*g - 26*g + 178*g**3 - 4*g**5 = 0?
-23, -1, 0, 1, 2
Let x(a) be the second derivative of -a**5/180 + 2*a**4/9 + 79*a**3/54 + 3*a**2 + 1748*a - 1. Find h such that x(h) = 0.
-2, -1, 27
Let m(l) = -2*l**2 + 16*l + 133. Suppose -6*j + 39 = -3*j + 5*a, 0 = 3*j + 4*a - 39. Let t be m(j). Factor 10*k**t - 2/3*k**5 + 34/3*k**2 + 4*k + 0 + 2*k**4.
-2*k*(k - 6)*(k + 1)**3/3
Let f(c) be the third derivative of c**8/2016 + c**7/84 + c**6/10 + 3*c**5/10 - 5*c**2 + 40*c + 1. Suppose f(j) = 0. What is j?
-6, -3, 0
Let a be 15*(8/(-5) - -2). Let p be -6 + a + 4/5. Factor 2/5 - 7/5*b - p*b**2.
-(b + 2)*(4*b - 1)/5
Let v = 9 - 6. Suppose 2*o + v = 33. Factor 16*g - 1 - 16*g**3 + 32*g**2 + 4*g**4 - 20*g**2 - o.
4*(g - 2)**2*(g - 1)*(g + 1)
Suppose 2*c + 2 = 2*i, 5*c - 3*i + 614 - 615 = 0. Let l(f) be the first derivative of -4/3*f - f**c + 10/9*f**3 - 34. Solve l(q) = 0 for q.
-2/5, 1
Let w be 13 + 20/(-4) - 3. Solve 804*f - 804*f - 10*f**2 - 3*f**3 - w*f**2 = 0 for f.
-5, 0
Let i = 175983/1231930 - -1/175990. Let k be 33/(-63) - (-4)/6. Factor k - 2/7*p**2 - i*p.
-(p + 1)*(2*p - 1)/7
Let p(g) be the second derivative of g**5/4 - 5*g**3/6 + g + 482. Determine h so that p(h) = 0.
-1, 0, 1
Factor -23*n**2 + 244 + 153*n - 22*n + 41*n**2 - 20*n**2 - 13*n.
-2*(n - 61)*(n + 2)
Let m(a) be the second derivative of -609*a**5/20 + a**4/2 - 468*a + 1. Find x, given that m(x) = 0.
0, 2/203
Let x(b) be the third derivative of -b**7/315 - 7*b**6/72 - 101*b**5/180 - 7*b**4/12 + 218*b**2. Determine l so that x(l) = 0.
-14, -3, -1/2, 0
Let f(q) be the first derivative of -q**4/22 - 8*q**3/3 + 92*q**2/11 - 1286. Factor f(b).
-2*b*(b - 2)*(b + 46)/11
Let 46/5*k**4 - 4036/5*k**2 - 1252/5*k**3 - 826*k - 2/25*k**5 - 6962/25 = 0. Calculate k.
-1, 59
Determine v, given that 7402*v**2 - 2485 + 610 - 7399*v**2 = 0.
-25, 25
Let w(p) be the first derivative of -p**6/45 + 12*p**5/5 - 76*p**4 + 4640*p**3/9 - 1456*p**2 + 9408*p/5 - 1685. Find v, given that w(v) = 0.
2, 42
Suppose 0 + 6/5*r**2 + 48/5*r = 0. Calculate r.
-8, 0
Let k(u) = 1 + 10*u**3 + 3*u**2 + 8 + u**3 - 9*u - 4*u**3. Let s(v) = v**3. Let o(m) = -k(m) + 6*s(m). Let h(y) be the first derivative of o(y). Solve h(l) = 0.
-3, 1
Let s(g) be the second derivative of -8/15*g**3 - 7/60*g**4 + 25*g + 0 - 6/5*g**2 - 1/100*g**5. Factor s(j).
-(j + 2)**2*(j + 3)/5
Factor -1467*c - 52*c**3 + 1003*c + 356*c**2 - 58 - 22.
-4*(c - 5)*(c - 2)*(13*c + 2)
Let u(z) be the first derivative of z**7/189 + 11*z**6/540 + z**5/135 - 11*z**2 + z + 19. Let g(a) be the second derivative of u(a). Let g(q) = 0. What is q?
-2, -1/5, 0
Let 49/3*b - 3*b**2 - 13 - 1/3*b**3 = 0. Calculate b.
-13, 1, 3
What is v in -2 + 10000*v + 1 + 1 + 4*v**3 - 88401*v**2 + 88801*v**2 = 0?
-50, 0
Suppose -4*j + 4*c + 16 = 0, -259*c + 52 = 4*j - 257*c. Let p(z) be the first derivative of -j - 4/21*z**3 + 16/7*z + 0*z**2. Determine y, given that p(y) = 0.
-2, 2
Suppose 1 = 2*w + b - 3, -19 = -5*w + 2*b. Suppose -3*o + 8*o = 4*r + 2, w*r - 4*o + 2 = 0. Factor 0*i - 1/3*i**4 - 1/3*i**3 + 2/3*i**r + 0.
-i**2*(i - 1)*(i + 2)/3
Suppose -4*o = -5*o - 15. Let w be 4/(-3 + 5 + o/10). Factor 54 - 12*f**2 + w*f**3 - 6*f**3 - 5*f**3 + 9*f.
-3*(f - 2)*(f + 3)**2
Factor -1/7*i**2 - 342/7 + 173/7*i.
-(i - 171)*(i - 2)/7
Suppose 0 = -62*y + 857772 - 857648. Factor 1/8*q**3 + 0 + 18*q - 3*q**y.
q*(q - 12)**2/8
Find j, given that -200/7*j + 528/7 + 50/7*j**3 - 124/7*j**2 - 2/7*j**4 = 0.
-2, 2, 3, 22
Suppose 76 = 3*v + 2*g - 6, 3*g - 110 = -4*v. Let i(w) be the first derivative of -3*w**3 + 22 + v*w**2 - 5*w**3 - 40*w**2 - 4*w. Factor i(u).
-4*(u + 1)*(6*u + 1)
Let t(s) be the first derivative of -5*s**3/3 - 1300*s**2 - 338000*s + 201. Factor t(l).
-5*(l + 260)**2
Let z be 4 - ((-1)/(2/(-6)) - (0 - -1)). Let u(v) be the first derivative of -1/3*v**z - 2/9*v**3 - 16 + 0*v. Factor u(r).
-2*r*(r + 1)/3
Let r be ((-14)/(-42))/((-2)/(-4 - -2)). Let c(a) be the first derivative of 1/3*a**2 - 1/9*a**3 - r*a + 2. Find w such that c(w) = 0.
1
Factor -336*o**2 + 1175 + 651*o + 8558*o**3 - 185 - 4282*o**3 - 4273*o**3.
3*(o - 110)*(o - 3)*(o + 1)
Suppose 37*f = 10*f + 2106. Factor -16*w**3 - 82*w**4 + 158*w**4 + 18*w**2 - f*w**4.
-2*w**2*(w - 1)*(w + 9)
Let d(f) = 9*f**2 - 107*f - 12. Let t be d(6). Let g be 6/(-5) + 11/(t/(-96)). Factor 39/5*l + 3/5*l**3 - 18/5 - 24/5*l**g.
3*(l - 6)*(l - 1)**2/5
Let n be -30 - (8 + -63) - 140/6. Factor 190/3*c - 1805/3 - n*c**2.
-5*(c - 19)**2/3
Suppose -82 - 19 = 2*m - 5*r, -m - 4*r - 83 = 0. Let d = m + 71. Factor 26*i**2 - 3*i - 12*i**2 - i + d*i**2.
2*i*(11*i - 2)
Let x(i) = 2*i - 12. Let j = -39 - -50. Let w be x(j). Solve 4*t**5 + 8*t**3 + 10*t**4 + t**5 + 5*t + 0*t**5 - 18*t**3 - 20*t**2 + w = 0.
-2, -1, 1
Let 70*f**2 - 144 - 2*f**3 - 56*f - 2*f - 47*f + 4*f**3 + 29*f = 0. What is f?
-36, -1, 2
Let a(g) = 5*g**2 - 80*g + 316. Let w(b) = 9*b**2 + 8*b + 143 + 171 - 4*b**2 - 88*b. Let c(r) = 3*a(r) - 2*w(r). Determine t so that c(t) = 0.
8
Factor 35/2*t**3 - 1/2*t**4 - 76 + 57*t**2 + 2*t.
-(t - 38)*(t - 1)*(t + 2)**2/2
Let l(j) = 8*j**5 - j**4 + 2*j**2 + j. Let b(m) = 41*m**5 - 13*m**4 + 17*m**3 + 12*m**2 - 19*m. Let x(z) = 3*b(z) - 15*l(z). Suppose x(h) = 0. What is h?
-1, 0, 2, 3, 4
