 - -1 - -3. Let n = 20 + s. Suppose 10*i + 2*i**3 - 10 + 4 + 2 - n*i**2 = 0. What is i?
1, 2
Suppose -8*p = -7*p - 4*h + 16, -h + 4 = -2*p. Factor p + 12/5*z**2 - 8/5*z.
4*z*(3*z - 2)/5
Let x(h) be the first derivative of 5*h**4/4 + 5*h**3/3 - 5*h**2/2 - 5*h - 165. Factor x(i).
5*(i - 1)*(i + 1)**2
Let y be ((-18)/(-6))/(-15)*0. Let q(i) be the third derivative of 5*i**2 - 1/24*i**4 - 1/120*i**6 + 0 + y*i**3 + 1/30*i**5 + 0*i. Factor q(s).
-s*(s - 1)**2
Factor -217 - 217 + 480*t + 165 - 207 - 4*t**2.
-4*(t - 119)*(t - 1)
Let p(x) = 242 + 8*x**2 - 69*x + 14*x - 15*x. Let h(r) = r**2 - 1. Let o(j) = -3*h(j) + p(j). Factor o(f).
5*(f - 7)**2
Let a = 11 - 3. Suppose -a = -7*j + 6. Suppose 8/7*i**2 - 4/7 + j*i = 0. Calculate i.
-2, 1/4
Let s = -978/17 - -64667/1122. Let h(p) be the second derivative of -1/11*p**5 - 11*p + 4/33*p**3 - 4/11*p**2 + s*p**4 + 1/55*p**6 + 0. What is r in h(r) = 0?
-2/3, 1, 2
Suppose 46 = -5*t + 121. Let c be ((36/t)/6)/(28/240). Let -c*a - 27/7*a**5 + 36/7*a**2 + 0 + 6*a**3 - 45/7*a**4 = 0. What is a?
-2, -1, 0, 2/3
Determine o, given that o**3 + 8 - 5*o**2 + 20*o - 2*o**3 - 4*o**3 + 12 = 0.
-2, -1, 2
Let b(p) be the first derivative of -p**3 - 139*p**2/2 + 94*p - 277. Factor b(x).
-(x + 47)*(3*x - 2)
Suppose 0 + 0*i + i**3 + 3/4*i**2 + 1/4*i**4 = 0. Calculate i.
-3, -1, 0
Let o(u) = -3*u - 4. Let y be o(4). Let t = y + 20. Solve 5*w**5 + 5*w**4 + 3*w**3 - 2*w**5 - 11*w**t = 0 for w.
0, 1
Factor 28405 + 4*z**2 + 395*z + 632*z - 67*z + 29195.
4*(z + 120)**2
Let y be -6*((-11)/30 - 46/345). Let -1/3*g**5 + 0*g - 4/3*g**y + 0 + 0*g**2 + 4/3*g**4 = 0. Calculate g.
0, 2
Let j be (-4 + 20/8)/(2/(-4)). Let d(a) be the first derivative of 0*a - 3*a**4 + 1 - 14/3*a**j - 2*a**2. What is o in d(o) = 0?
-2/3, -1/2, 0
Let g(r) be the third derivative of -r**6/120 - r**5/20 - r**4/8 - r**3/6 - 37*r**2. Factor g(u).
-(u + 1)**3
Let h be 7 - 3/(0 + 3). Suppose h - i**2 - 12 + 70*i - 4*i**2 - 239 = 0. Calculate i.
7
Let c(w) be the first derivative of w**5/12 - 10*w**3/3 - 41*w**2/2 - 29. Let u(v) be the second derivative of c(v). Factor u(x).
5*(x - 2)*(x + 2)
Let f(t) = -t**2 + 7. Let o be f(0). Suppose 4*i = -3*c - 2 - 1, 2*i = 5*c + 31. Find l such that 8*l**3 - 3*l**2 - 4*l**3 - o*l**i = 0.
-1, 0
Suppose 0 = -15*w + 42*w. Let x(n) be the third derivative of 0*n + 2/15*n**5 + 0 - 1/3*n**4 + 12*n**2 + w*n**3 - 1/60*n**6. Factor x(t).
-2*t*(t - 2)**2
Suppose -4*p - p + 175 = 0. Suppose 5*o - 5*d = p, -4*o - 4*d = d + 17. Determine c so that 2*c**2 - 3*c**2 + 6*c**2 - c - o - 4*c**2 = 0.
-1, 2
Let h(u) be the third derivative of 1/6*u**4 + 0*u**3 + 0*u + 0 + 1/15*u**5 - 12*u**2. Factor h(o).
4*o*(o + 1)
Factor -106*a**3 - 107*a**3 + 104*a**4 - 248*a**4 - 4 - 244*a**2 - 68*a + 12*a - 123*a**3.
-4*(a + 1)**2*(6*a + 1)**2
Let b(r) be the third derivative of -r**6/120 - 7*r**5/12 - 17*r**4/12 + 85*r**2. Determine p so that b(p) = 0.
-34, -1, 0
Let r(x) be the first derivative of x**6/9 + 4*x**5/15 - 11*x**4/6 - 8*x**3/3 + 12*x**2 + 439. Factor r(u).
2*u*(u - 2)**2*(u + 3)**2/3
Let v(r) be the second derivative of r**5/20 + 5*r**4/6 - 23*r**3/6 + 6*r**2 + 9*r - 7. Determine w so that v(w) = 0.
-12, 1
Let 72097/10*s**3 + 49/10*s**5 - 103447/5*s**2 + 50102/5*s - 6724/5 + 1946/5*s**4 = 0. What is s?
-41, 2/7, 2
Let c be (-126)/(-378)*0/(1 - -1). Factor 0*q**2 + 3/7*q**5 + 0*q + 3/7*q**4 + 0*q**3 + c.
3*q**4*(q + 1)/7
Let x(t) = t**3 + 5*t**2 - 6*t + 4. Let l be x(-6). Let g(b) = 3*b - 10. Let f be g(l). Factor 0*s**f + 4 + 2*s**4 + 6*s - s**4 - 6*s**3 - 2*s**2 - 3*s**4.
-2*(s - 1)*(s + 1)**2*(s + 2)
Let y(n) be the first derivative of -n**3/15 - 3*n**2/10 + 8*n - 285. Find w, given that y(w) = 0.
-8, 5
Suppose -x + 5*x = 12, 2*x = 5*t - 74. Factor 9*o + 15*o - t*o + 2*o**2.
2*o*(o + 4)
Let g(f) = 51*f**2 - 264*f - 387. Let h(r) = -15*r**2 + 79*r + 116. Let s(a) = -8*g(a) - 27*h(a). Suppose s(l) = 0. Calculate l.
-4, -3
Let l = 252 - 254. Let p be (l/(-12))/(4/12). Find s such that 1/2*s**3 - p - 3/2*s**2 + 3/2*s = 0.
1
Suppose -1950*u + 925376400*u**4 + 2976 - 57388*u**2 - 14435871840*u**5 - 2971 - 23727600*u**3 + 361588*u**2 = 0. What is u?
1/78
Let f be -3 + -3*16/(-12) + 2. Suppose 0 = f*z - 5 - 1. Factor -2/7*l**z - 8/7 - 8/7*l.
-2*(l + 2)**2/7
Suppose 0*v - 5*t + 12 = -4*v, 0 = 4*t - 16. Suppose r - 5*q - 6 - 17 = 0, -v*r - 5*q - 14 = 0. Factor -6/5*a + 3/5*a**2 + 6/5*a**r + 0 - 3/5*a**4.
-3*a*(a - 2)*(a - 1)*(a + 1)/5
Let x be 694/(-1735) - (-4)/5. Factor -x*o**2 - 98/5 + 28/5*o.
-2*(o - 7)**2/5
Let y be (8/(-18))/((-56)/252). Let x(b) be the second derivative of 8*b - 2/5*b**5 - 1/6*b**4 + 0 + 0*b**3 + 0*b**y. Find a such that x(a) = 0.
-1/4, 0
Find i, given that -52*i - 272*i**5 + 274*i**5 - 49*i**4 + 564*i + 408*i**3 - 1216*i**2 = 0.
0, 1/2, 8
Let o(f) be the first derivative of 5 - f**3 - 12*f + 6*f**2 + 6*f + 3*f + 9*f. Let h(y) = -y**3 + 4*y**2 - 13*y - 6. Let u(m) = 3*h(m) + 4*o(m). Factor u(a).
-3*(a - 2)*(a + 1)**2
Factor -10/3*i**2 + 2/3*i**3 + 0*i + 0.
2*i**2*(i - 5)/3
Let d(a) be the third derivative of a**8/5040 - a**7/1260 - a**6/90 - a**5/5 - 10*a**2. Let y(q) be the third derivative of d(q). Determine h so that y(h) = 0.
-1, 2
Let z(d) = d**2 - 13*d - 12. Let s be z(13). Let l = 15 + s. Factor -15*g**3 + 3*g + 9*g**l + 5*g**3 - 3*g**2 - 5*g.
-g*(g + 1)*(g + 2)
Suppose 0 = l - 4 + 1. Find v such that 57 - 28*v**4 + 13*v**2 - 57 + l*v**2 + 12*v**5 = 0.
-2/3, 0, 1, 2
Solve 7/10*c**2 - 1/5*c - 1/2*c**3 + 0 = 0 for c.
0, 2/5, 1
Let u(l) be the second derivative of -4*l**4/3 + 102*l**3 - 76*l**2 - 128*l. Factor u(x).
-4*(x - 38)*(4*x - 1)
Let p(i) be the second derivative of -i**7/1260 - i**6/180 - 5*i**4/4 - 2*i. Let v(b) be the third derivative of p(b). What is s in v(s) = 0?
-2, 0
Let t(q) be the second derivative of -q**7/28 - q**6/10 + 3*q**5/20 + q**4/2 - q**3/4 - 3*q**2/2 - 540*q. Suppose t(s) = 0. What is s?
-2, -1, 1
Let i(m) = -32*m**2 + 60*m + 88. Let n(b) = -b**3 + 65*b**2 - 120*b - 179. Let l(c) = -7*i(c) - 4*n(c). Factor l(h).
4*(h - 5)**2*(h + 1)
Find b such that 1/6*b + 2/3*b**2 - 2/3 - 1/6*b**3 = 0.
-1, 1, 4
Suppose 5*q = o, -8*q + 10*q = 5*o. Let u(a) be the first derivative of o*a + 3 - a**2 - 2/3*a**3. Suppose u(i) = 0. Calculate i.
-1, 0
Let u be ((-4932)/(-1596) - (5 + -9 + 7))*7. Factor u*b - 16/19 - 2/19*b**2.
-2*(b - 4)*(b - 2)/19
Let o(a) be the second derivative of -a**6/120 - 47*a**5/80 - 655*a**4/48 - 791*a**3/8 - 441*a**2/2 - 26*a + 3. Find s such that o(s) = 0.
-21, -4, -1
Let b = -2 + 10. Let c(s) = -18*s**3 + 8*s**3 + 11*s**3 + 2*s. Let w(l) = -4*l**3 + l**2 - 5*l. Let o(t) = b*c(t) + 3*w(t). Factor o(n).
-n*(n - 1)*(4*n + 1)
Let c(s) be the first derivative of -6*s**2 - 25*s + 16*s + 0*s**3 + 35 - s**3. Factor c(o).
-3*(o + 1)*(o + 3)
Let k(p) be the first derivative of -5*p**2 + p**5 - 15/4*p**4 - 25/3*p**3 + 0*p - 16 + 5/6*p**6. Solve k(o) = 0.
-1, 0, 2
Let w = -10 - -1. Let v be (-2)/(-9) - 25/w. Factor 0*y**v + 0 + 0*y - 2/5*y**2 + 2/5*y**4.
2*y**2*(y - 1)*(y + 1)/5
Let p(n) be the second derivative of 1/27*n**3 + 0 + 2/9*n**2 + 31*n - 1/54*n**4. Factor p(b).
-2*(b - 2)*(b + 1)/9
Let a(g) = -4*g**4 + 19*g**3 - 12*g**2 - 3. Let x(v) = -4*v**4 + 20*v**3 - 12*v**2 - 4. Let z(r) = 4*a(r) - 3*x(r). Let z(i) = 0. What is i?
0, 1, 3
Let u(t) = -t**2 + t - 6. Let g(i) = i**2 + 5. Let d(a) = 4*g(a) + 3*u(a). Let q(z) = z**2 + 1. Let b(x) = 5*d(x) - 10*q(x). Factor b(n).
-5*n*(n - 3)
Suppose 51 + 24 = 25*m. Let v(j) be the second derivative of 5/54*j**4 + 1/135*j**6 - 13*j + 0*j**2 + 2/27*j**m + 0 + 2/45*j**5. Factor v(t).
2*t*(t + 1)**2*(t + 2)/9
Let u = 310 + -304. Let p(q) be the third derivative of 0*q + 6*q**2 + 0 - 1/360*q**u + 1/72*q**4 + 1/180*q**5 - 1/18*q**3. Factor p(v).
-(v - 1)**2*(v + 1)/3
Let q(p) = -21*p**2 + 16*p - 17. Let u be 8/3*18/12. Let x = u + 0. Let l(g) = 7*g**2 - 5*g + 6. Let i(r) = x*q(r) + 11*l(r). Factor i(h).
-(h - 1)*(7*h - 2)
Let 400/9 + 1/9*t**2 + 40/9*t = 0. What is t?
-20
Let q = 222 - 3772/17. Suppose -7*u + 14 = -0*u. Factor 8/17*a - q - 8/17*a**u.
-2*(2*a - 1)**2/17
Let x(d) = 6*d**2 - d - 1. Let y be x(1). Find q such that -52*q**3 + 29*q**3 - y*q**2 - 4*q + q**4 + 24*q**3 = 0.
-2, -1, 0, 2
Factor 0 - 339/4*z**2 - 333/2*z - 3/4*z**3.
-3*z*(z + 2)*(z + 111)/