*3 + 128*x - 369. Factor u(p).
4*(p - 4)**2*(p + 2)
Factor -10/13*z**2 + 952/13 + 2376/13*z.
-2*(z - 238)*(5*z + 2)/13
Let i(n) be the second derivative of 2*n**6/15 + 123*n**5/5 + 1452*n**4 + 66304*n**3/3 - 75264*n**2 + 11486*n. Let i(z) = 0. Calculate z.
-56, -12, 1
Factor 50/3*i**2 + 86/3*i - 46 + 2/3*i**3.
2*(i - 1)*(i + 3)*(i + 23)/3
Let s be (-11)/(132/32) - 4/(-6). Let n be 15/6*s/(-3). Factor -5/3*z - n*z**2 + 0.
-5*z*(z + 1)/3
Let l(h) = -h**3 + 6*h**2 + 33*h - 188. Let j be l(5). Let u(g) be the first derivative of 1/4*g**j - 1/12*g**3 + 3/4*g - 16. Factor u(z).
-(z - 3)*(z + 1)/4
Factor -16*r + 4*r**3 + 35 - 28*r - 6*r + 30*r**2 - 31*r + 13*r - r**4.
-(r - 7)*(r - 1)**2*(r + 5)
Let u = 55 - 68. Let y(x) = x**3 + 14*x**2 + x - 5. Let j be y(u). Factor -j*g + 5*g**2 - 5 + 151*g.
5*(g - 1)*(g + 1)
Let r(h) be the third derivative of h**8/80 - 19*h**7/175 - 101*h**6/200 + 94*h**5/25 + 47*h**4/2 + 40*h**3 + 79*h**2 - 3*h + 12. Let r(w) = 0. What is w?
-2, -4/7, 5
Let b(u) be the first derivative of -u**5/4 - 5*u**4/3 - 10*u**3/3 - 69*u**2/2 + 43. Let n(p) be the second derivative of b(p). Factor n(r).
-5*(r + 2)*(3*r + 2)
Suppose -15*c + 272 - 62 = 0. Let 6*o - c*o + 7 - 3*o**2 - 49 - 8*o - 11*o = 0. Calculate o.
-7, -2
Suppose -2*o - o + 4*o - 2 = 0, 5*w - 190 = 5*o. Determine a so that w*a**2 + 15/2*a**3 + 5/4*a**5 + 0 - 40*a - 35/4*a**4 = 0.
-2, 0, 1, 4
Let y be (-110)/(-27) - 248/3348. Factor -1352*c + 45 + 7*c**2 + 10*c**y + 1457*c - 45*c**3 - 2*c**2.
5*(c - 3)**2*(c + 1)*(2*c + 1)
Suppose 44*v - 988 = 596. Let j be (v/(-27))/(2/(-6)). Factor 2/7*u**5 - 4/7*u**3 + 0 + 0*u**2 + 0*u**j + 2/7*u.
2*u*(u - 1)**2*(u + 1)**2/7
Find s, given that -8*s + 10 - 4*s**2 - 3 - 2*s**4 - 1 + 42*s**3 - 34*s**3 = 0.
-1, 1, 3
Let v = 1/23128 + 52037/23128. Suppose v + 5/2*p + 1/4*p**2 = 0. What is p?
-9, -1
Suppose -3*c + d + 11 = 0, -163*c + 166*c - 4*d - 17 = 0. Suppose -28*z + 26*z - 2 = 0, -k - c*z = -1. Factor -38/9*l - 14/3*l**2 - 2/9*l**k - 2*l**3 - 4/3.
-2*(l + 1)**3*(l + 6)/9
Let o be (12 - 10)*(5/(-2) + 4). Suppose -o*h + 5 = 5*z, 4*z + 40 = 6*h - z. Find m, given that -6*m**2 - 1/2*m**4 - 3*m**3 - h*m - 3/2 = 0.
-3, -1
Let c(y) be the third derivative of -y**5/30 + 125*y**4/12 + 42*y**3 - 932*y**2. Determine t so that c(t) = 0.
-1, 126
Let a be -2 + 1/(7/((-3332)/(-8))). Let m = 58 - a. Find l, given that m - 1/4*l**2 + 1/4*l = 0.
-1, 2
Suppose 2*m**5 - 416122 - 789838 - 170*m**4 - 640616*m**2 - 592*m**4 + 98888 + 1672512*m + 75936*m**3 = 0. Calculate m.
1, 4, 186
Let h(y) be the second derivative of 7/9*y**3 - 125*y + 4*y**2 + 0 + 1/18*y**4. Let h(p) = 0. What is p?
-4, -3
Let 1/2*k**4 + 97/2*k - 13/2*k**3 - 39 - 7/2*k**2 = 0. Calculate k.
-3, 1, 2, 13
Suppose -5*r = -2*l + 33 + 23, 24 = -2*r + 4. Determine a, given that -8/11*a**5 + 2*a**2 + 0 - 2/11*a**4 + 4/11*a + 24/11*a**l = 0.
-1, -1/4, 0, 2
Let p be 11760/(-288)*(-3)/21*(1 - -3). Let o(c) be the third derivative of 0 + p*c**3 - 49/24*c**6 + 0*c + 40*c**4 - 11*c**2 + 105/4*c**5. Factor o(a).
-5*(a - 7)*(7*a + 2)**2
Solve -2205*m**2 + 738 - 308*m - 12 - 590*m - 21*m**4 + 447*m**3 - 1049*m = 0.
-1, 2/7, 11
Let n(y) be the first derivative of -y**3/3 - 51*y**2/2 + 162*y + 1866. Factor n(s).
-(s - 3)*(s + 54)
Factor -66 - 1/5*n**2 - 113/5*n.
-(n + 3)*(n + 110)/5
Let y(u) be the second derivative of 5/2*u**4 + 33/40*u**5 + 7/4*u**3 + 0 - 79*u - 3/2*u**2. Factor y(a).
3*(a + 1)**2*(11*a - 2)/2
Let i = -230/3 + 77. Let c(u) = u**3 + 16*u**2 + 35*u - 50. Let f be c(-13). Factor -3*k**f - i*k**4 + 7/3*k + 5/3*k**3 - 2/3.
-(k - 2)*(k - 1)**3/3
Let v(a) be the first derivative of a**6/36 + 2*a**5/15 - 5*a**4/6 + 5*a**3/9 + 19*a**2/12 - 7*a/3 + 1328. What is t in v(t) = 0?
-7, -1, 1, 2
Let u(n) be the first derivative of -2*n**6/3 + 12*n**5 + 35*n**4 - 20*n**3 - 68*n**2 - 1449. Let u(v) = 0. What is v?
-2, -1, 0, 1, 17
Factor -75*m - 53*m - 68*m**2 + 192 + 1686*m**4 + 4*m**3 - m**3 - 1684*m**4 - m**3.
2*(m - 6)*(m - 1)*(m + 4)**2
Let c = 67081/14199 + -273/4733. Suppose -52/3*r**4 - 200/3*r + 56*r**2 + 64/3 + c*r**3 + 2*r**5 = 0. Calculate r.
-2, 2/3, 1, 8
Let p be (6178/(-14))/((-75)/175). Let i = -1029 + p. Factor 1/6*k**2 + i - 2/3*k.
(k - 2)**2/6
Let b(j) be the first derivative of j**3/5 - 63*j**2/2 + 8746. Factor b(r).
3*r*(r - 105)/5
Let l(o) be the first derivative of -2*o**3/9 - 44*o**2/3 + 184*o/3 - 1578. Solve l(p) = 0.
-46, 2
Suppose -100*q + 196 + 115 + 52 - 63 = 0. Factor 9/4 + 3/4*g**2 + 15/4*g - 3/4*g**q.
-3*(g - 3)*(g + 1)**2/4
Let r(j) be the second derivative of -j**7/21 - 6*j**6/5 - 52*j**5/5 - 136*j**4/3 - 112*j**3 - 160*j**2 - 1355*j. Find a, given that r(a) = 0.
-10, -2
Suppose 0 = 3*z + 2*n - 22, 4*z + 7*n = 2*n + 41. Factor 10*r**2 - z*r**5 - 8*r**4 + 0*r**2 - 2*r**2 + 0*r**2 + 4*r.
-4*r*(r - 1)*(r + 1)**3
Let d(p) be the second derivative of 0 + 58/3*p**3 + 1/3*p**4 - 124*p - 60*p**2. Factor d(r).
4*(r - 1)*(r + 30)
Suppose 2 - 11 = -194*k - 9. Let l(c) be the first derivative of 0*c**3 + 1/20*c**4 - 26 + k*c**2 + 0*c. Factor l(i).
i**3/5
Let n(g) be the first derivative of -g**6/12 + 3*g**5/5 - 3*g**4/8 - 5*g**3/3 - 1177. Suppose n(t) = 0. Calculate t.
-1, 0, 2, 5
Let c(b) = -16*b**3 + 111*b**2 - 342*b. Let o(k) = -3*k**3 + 22*k**2 - 69*k. Let g(t) = 6*c(t) - 33*o(t). Solve g(a) = 0 for a.
0, 5, 15
Let l(f) be the first derivative of -f**5/50 + f**4/20 + 31*f**3/30 - 8*f**2/5 - 6*f - 4693. Determine a, given that l(a) = 0.
-5, -1, 2, 6
Let b(z) = 2*z**5 - 8*z**4 + 14*z**3 + 8*z - 16. Let x(n) = -15*n**3 + 23*n**3 - 7*n**3 - 2 + n. Let t(v) = b(v) - 8*x(v). Factor t(m).
2*m**3*(m - 3)*(m - 1)
Suppose -15 = 8*l + 22 - 53. Let q(f) be the first derivative of l*f**3 + 0*f - 2*f**4 - 2/3*f**2 - 23 + 2/3*f**5. Factor q(z).
2*z*(z - 1)**2*(5*z - 2)/3
Let g(j) be the second derivative of j**4/84 + 1259*j**3/42 + 629*j**2/7 - 11*j - 9. Let g(z) = 0. What is z?
-1258, -1
Let z(x) = x**2 - 365*x - 2250. Let n(k) = 3*k**2 - 1464*k - 9000. Let t(f) = 2*n(f) - 9*z(f). Factor t(d).
-3*(d - 125)*(d + 6)
Suppose -174*n**4 - 821*n**3 + 195*n**3 - 1229*n**3 - 765*n**2 - 1041*n**4 + 50*n - 175*n**5 = 0. Calculate n.
-5, -1, 0, 2/35
Factor 170*n**2 - 1985 - 1715*n - 165*n**2 + 158 + 107.
5*(n - 344)*(n + 1)
Determine x, given that -23/2*x**4 + 0*x + 0 + 21/2*x**5 + 0*x**2 + x**3 = 0.
0, 2/21, 1
Let b be 626/(-4)*6 - (225 - 224). Let n = 6584/7 + b. Factor 2/7 + n*d + 2/7*d**2.
2*(d + 1)**2/7
Let r(o) = -o**4 - 36*o**3 - 3*o**2 + 9*o - 3. Let t(w) = 2*w**4 + 72*w**3 + 5*w**2 - 15*w + 5. Let g(y) = 5*r(y) + 3*t(y). Factor g(n).
n**3*(n + 36)
Let b(t) be the second derivative of 9*t**5/50 - 83*t**4/30 + 6*t**3 - 16*t**2/5 - 948*t. What is f in b(f) = 0?
2/9, 1, 8
Let k be (-4 + 0)*(17 + -10). Let d = k - -32. Suppose -26*l**2 - 2*l + 3*l**d - l - 9*l**3 + 35*l**2 = 0. Calculate l.
0, 1
Let u(q) be the third derivative of q**7/175 - 131*q**6/900 + 13*q**5/15 + 10*q**4/9 + 314*q**2 + 4*q. Suppose u(f) = 0. What is f?
-4/9, 0, 5, 10
Let q(f) be the first derivative of -f**6/18 + 4*f**5/5 - 11*f**4/3 + 38*f**3/9 + 15*f**2/2 - 50*f/3 + 2300. What is k in q(k) = 0?
-1, 1, 2, 5
Let x(z) = z**2 - 11*z + 16. Let u(s) = s**2 - s + 1. Let d(t) = -t**2 - 6*t + 18. Let a be d(-9). Let c = -15 - a. Let j(l) = c*u(l) + x(l). Factor j(q).
-5*(q - 1)*(q + 2)
Let d(w) be the first derivative of w**7/1540 + w**6/990 - w**5/660 + 106*w**3/3 - 95. Let o(s) be the third derivative of d(s). Factor o(i).
2*i*(i + 1)*(3*i - 1)/11
Factor -441306*t**3 - 893572*t**3 - 10768*t + 1789988*t**2 + 16 + 6607596*t**3 + 2060546*t**3.
4*(4*t + 1)*(677*t - 2)**2
Let t(s) be the second derivative of -s**5/160 + 91*s**4/96 - 275*s**3/6 + 363*s**2 + 2*s + 391. Find a, given that t(a) = 0.
3, 44
Let g(a) be the third derivative of a**6/15 - a**5/30 - 31*a**4/8 - 15*a**3/2 + 102*a**2 - 9. Suppose g(x) = 0. Calculate x.
-3, -1/2, 15/4
Let m(n) be the first derivative of n**4/16 + 142*n**3/3 + 80085*n**2/8 - 81225*n/2 - 5009. Determine k so that m(k) = 0.
-285, 2
Let h be 10 + 87/(5394/868). Factor -h + 1/3*c**5 - 4*c**4 + 52*c - 134/3*c**2 + 19*c**3.
(c - 3)**2*(c - 2)**3/3
Factor 48/5*y**3 + 0 - 192/5*y - 8/5*y**2 + 2/5*y**4.
2*y*(y - 2)*(y + 2)*(y + 24)/5
Let b be 3/2 - 183/6. Let y = b + 44. Factor -7*k**2 + y*k**2 - 4*k - 12*k