3*(b - 1)*(b + 10)*(b + 26)
Let z(f) be the second derivative of f**5/60 - 11*f**4/12 - 23*f**3/6 + 63*f**2/2 - 2*f - 75. Let u(y) be the first derivative of z(y). Factor u(i).
(i - 23)*(i + 1)
Let c = 16/16275 - -39044/16275. Let 2/5*i + c - 2/5*i**2 = 0. Calculate i.
-2, 3
Let s = -1/1224723 + 1224725/2449446. Factor 5 + 5/2*i**3 - 3/2*i**2 + s*i**4 - 13/2*i.
(i - 1)**2*(i + 2)*(i + 5)/2
Let b(o) be the first derivative of -o**6/180 + o**4/12 + 119*o**3/3 + 147. Let j(u) be the third derivative of b(u). Factor j(h).
-2*(h - 1)*(h + 1)
Factor -1390*k**2 - 4416 + 3284*k + 1393*k**2 - 4376*k.
3*(k - 368)*(k + 4)
Let m = 6995324/9093955 + 2/699535. Factor m*g**2 + 2/13*g**3 - 34/13*g - 42/13.
2*(g - 3)*(g + 1)*(g + 7)/13
Let 52*g**3 + 6/5*g**4 - 728/5*g**2 + 0 + 368/5*g = 0. What is g?
-46, 0, 2/3, 2
Suppose -5*l = 3 - 13. Let z be l/(12/18 + (-1)/(-21)). Let z*d - 6/5 - 6/5*d**3 + 14/5*d**2 = 0. Calculate d.
-1, 1/3, 3
Suppose -201*k + 89 + 207 = -106. Let s(o) be the second derivative of 11*o - 1/30*o**5 + 0*o**4 + 1/90*o**6 + 0 + 1/9*o**3 - 1/6*o**k. Let s(f) = 0. What is f?
-1, 1
Let w = -1262995/13 - -97163. What is j in -w*j + 2/13*j**2 + 1922/13 = 0?
31
Let l(q) be the second derivative of -5*q**8/336 - q**7/14 - q**6/12 - 79*q**2 - 67*q. Let m(p) be the first derivative of l(p). Factor m(g).
-5*g**3*(g + 1)*(g + 2)
Let t(r) be the second derivative of 0*r**3 + 0*r**4 + 0*r**5 + 2/3*r**6 + 0 + 1/21*r**7 + 0*r**2 + 12*r. Determine p, given that t(p) = 0.
-10, 0
Let o(p) be the third derivative of -1/108*p**5 + 31*p + 0*p**6 + 0*p**4 - 2*p**2 + 0 + 1/1890*p**7 + 2/27*p**3. Solve o(q) = 0 for q.
-2, -1, 1, 2
Let s(x) be the first derivative of -x**6/2 - 48*x**5/5 - 207*x**4/4 - 94*x**3 - 60*x**2 + 1175. Solve s(q) = 0.
-10, -4, -1, 0
Let d be 10/45*3 - (-33)/((-693)/14). Determine t, given that 4/9*t + d + 28/9*t**3 - 2*t**2 + 4/9*t**5 - 2*t**4 = 0.
0, 1/2, 1, 2
Let y = 45856 - 45854. Solve -4/3*m**y - 28/9*m - 8/9 = 0 for m.
-2, -1/3
Let s(h) be the first derivative of -h**6/3 + 16*h**5/5 - 100*h**3/3 + h**2 + 84*h + 9273. Solve s(r) = 0 for r.
-2, -1, 1, 3, 7
Let j(l) = 24*l**5 + 54*l**4 - 3*l**3 - 51*l**2 - 21*l + 6. Let g(x) = x**5 - x**4 - x**3 - x**2 - 1. Let r(c) = -3*g(c) - j(c). What is v in r(v) = 0?
-1, 1/9, 1
Let m(r) = -r**3 - 49*r**2 - 44*r + 192. Let a = 1017 + -1065. Let s be m(a). Find v, given that 0*v**2 + 0 + 0*v - 2/11*v**5 - 4/11*v**4 + s*v**3 = 0.
-2, 0
Let t(s) be the first derivative of -s**3 + 165*s**2/2 - 1638*s + 5349. Find g, given that t(g) = 0.
13, 42
Let h = 357474 - 2502312/7. Factor 0 + 2/7*w**2 + 0*w - h*w**3.
-2*w**2*(3*w - 1)/7
Factor 105984 - 80*w - 32*w**2 + 8*w**3 - 4*w**3 - 105984.
4*w*(w - 10)*(w + 2)
Suppose g - 2*d + 9 = 0, -4*g - 2*d - 72 = -d. Let o = g + 20. Factor -o*y + 4*y**3 + 3*y - 4*y.
4*y*(y - 1)*(y + 1)
Let y be ((-8)/6 + 0)*384/256. Let x be y*56*(-5)/50. Suppose -x*r + 386/5*r**3 + 72*r**4 - 8/5 - 22/5*r**2 = 0. What is r?
-1, -1/4, -2/9, 2/5
Let g = -1082 - -1070. Let m be 3/g*8*10/(-4). Solve -4/5*n**m + 4/5*n**3 - 8/5*n**2 + 0*n + 8/5*n**4 + 0 = 0 for n.
-1, 0, 1, 2
Let p = -550 - -645. Let z be (-1 + -1)*p/(-133). Factor z*b**3 + 6/7*b**5 + 0 - 2/7*b**2 + 0*b - 2*b**4.
2*b**2*(b - 1)**2*(3*b - 1)/7
Let r be 5822/82 + -79 + (-52)/(-5). Factor r*j + 18/5 + 2/5*j**2.
2*(j + 3)**2/5
Factor 0 + 0*t + 5/4*t**3 + 2225/4*t**2.
5*t**2*(t + 445)/4
What is b in -2/19*b**3 - 2646/19*b**2 - 873840/19*b + 876488/19 = 0?
-662, 1
What is k in 71/4*k**2 + 105/2*k + 5/2*k**3 + 1/8*k**4 + 441/8 = 0?
-7, -3
Let q(l) be the second derivative of -4*l**5 + 41650*l**4/3 + 83315*l**3/6 + 10415*l**2/2 + 15145*l. Find r such that q(r) = 0.
-1/4, 2083
Let j(s) be the first derivative of 3*s**4/4 + 41*s**3 + 1197*s**2/2 - 1323*s + 107. Let j(l) = 0. Calculate l.
-21, 1
Let u(n) be the first derivative of n**3 + 6*n**2 - 180*n - 446. Factor u(c).
3*(c - 6)*(c + 10)
Let u(z) be the first derivative of 157216*z**4 - 5345344/5*z**5 + 192 + 272*z**2 - 4*z - 9248*z**3. Factor u(y).
-4*(34*y - 1)**4
Let -3/7*z**2 + 3705/7 + 138/7*z = 0. What is z?
-19, 65
Factor 50 + 43 - h**2 - 108*h**3 + 109*h - h**5 + 3*h**2 - 26*h**4 - 39 - 30*h**4.
-(h - 1)*(h + 1)**3*(h + 54)
Let b = 621177/5 + -124235. Factor 12*f**2 - b*f**3 + 400 - 120*f.
-2*(f - 10)**3/5
Let x be 6/(-21) - (-282)/7. Suppose -5*w + 2*s + 10 = -9, -x = -5*w - 5*s. Factor -w + 8*o + 21 + 4*o**2 + 8*o.
4*(o + 2)**2
Let i(j) = -2*j**3 + 12*j**2 - 10*j - 16. Let a(z) = 1. Suppose -2*x - 16 = -5*p, 5*x + 3*p = p - 40. Let d(o) = x*a(o) + i(o). Determine k so that d(k) = 0.
-1, 3, 4
Let h = -21 + 24. Let g(b) be the first derivative of 1/6*b - 1/18*b**h + 15 + 1/3*b**2 - 1/6*b**4. Factor g(p).
-(p - 1)*(p + 1)*(4*p + 1)/6
Let q(p) be the first derivative of -p**6/135 - 7*p**5/90 - 11*p**4/54 - 5*p**3/27 + 6*p + 50. Let d(w) be the first derivative of q(w). Factor d(f).
-2*f*(f + 1)**2*(f + 5)/9
Let l(a) be the first derivative of 0*a + 1375/3*a**3 + 254 + 61*a**4 + 11/5*a**5 + 121*a**2. Let l(s) = 0. Calculate s.
-11, -2/11, 0
Suppose 19*d = 15*d + 196. Factor -21*k - 6*k**2 + 37 + 2*k**3 + k**3 - d.
3*(k - 4)*(k + 1)**2
Suppose -4*x + 13 = -5*f, -5*x - f - f = -8. Suppose 2*o = -x*b + 22, 0 = -4*b + 6 + 14. Factor -3*a**4 - 30*a + o*a**2 - 3*a**5 - 3 - 26*a + 6*a**3 + 53*a.
-3*(a - 1)**2*(a + 1)**3
Suppose -46*w + 40*w = -2208. Let h = -1445/4 + w. Factor -9/2*m + 3/4 + h*m**2.
3*(3*m - 1)**2/4
Suppose -198/7*q**4 + 8/7*q**5 - 240/7 - 1432/7*q - 1186/7*q**3 - 2172/7*q**2 = 0. Calculate q.
-2, -1, -1/4, 30
What is t in 52 + 2/3*t**2 + 82/3*t = 0?
-39, -2
Let x(y) be the third derivative of -y**8/1008 - 2*y**7/105 + y**6/180 + 2*y**5/15 - y**4/72 - 2*y**3/3 - 4130*y**2. What is i in x(i) = 0?
-12, -1, 1
Let o(t) be the second derivative of 0 - 148*t + 95*t**2 - 185/6*t**3 - 5/12*t**4. Factor o(b).
-5*(b - 1)*(b + 38)
Let w(s) = -10*s**3 - 11*s**2 + 348*s - 439. Let h(u) = -9*u**3 - 9*u**2 + 360*u - 438. Let v(n) = 7*h(n) - 6*w(n). Find g, given that v(g) = 0.
-12, 1, 12
Let 135*q**3 - 16*q**2 + 70*q**5 - 138*q - 67*q**5 - 59*q**2 + 75*q**4 = 0. Calculate q.
-23, -2, -1, 0, 1
Factor -130*p**3 - 5*p**4 - 93*p**3 - 205*p**2 - 132*p**3 - 112*p**3 + 407*p**3 - 150*p.
-5*p*(p + 1)*(p + 5)*(p + 6)
Suppose 0 = 2*k + 2*k - 176. Suppose 0 = -4*x - k + 124. Factor x*r + 33*r**2 + 6*r**3 + 3*r**2 - 2*r**2.
2*r*(r + 5)*(3*r + 2)
Let c(w) = 27*w**3 + 858*w**2 + 10947*w + 43752. Let m(x) = 11*x**3 + 344*x**2 + 4379*x + 17501. Let l(j) = 5*c(j) - 12*m(j). Factor l(u).
3*(u + 9)**2*(u + 36)
Let j(q) be the first derivative of -q**5/15 + 2*q**4/3 - 8*q**3/3 - 14*q**2 - 4. Let y(z) be the second derivative of j(z). Factor y(b).
-4*(b - 2)**2
Let z be ((-4)/6)/((-5)/3). Let a = 602122 + -3010598/5. Suppose -z*f**2 - 2 + a*f = 0. What is f?
1, 5
Let z(c) be the first derivative of 5*c**4/4 + 35*c**3 + 245*c**2 + 600*c - 1825. Determine b so that z(b) = 0.
-15, -4, -2
Let t(l) be the third derivative of -l**5/300 - 157*l**4/20 - 73947*l**3/10 + 2200*l**2 - l. Suppose t(d) = 0. Calculate d.
-471
Let r = -1311 + 1314. Let n(k) be the third derivative of 0*k**r + 3/20*k**5 + 0 + 0*k - k**2 + 1/40*k**6 + 0*k**4. Solve n(h) = 0.
-3, 0
Let d(b) be the second derivative of b**6/360 + b**5/36 + 25*b**2/2 - 2*b - 4. Let v(n) be the first derivative of d(n). Factor v(k).
k**2*(k + 5)/3
Suppose -418*i + 6*x + 33 = -421*i, x = -5*i + 8. Factor -36/7*q + 20/7 + 0*q**i - 1/7*q**4 + 17/7*q**2.
-(q - 2)**2*(q - 1)*(q + 5)/7
Suppose 0 = -a + 4*q - 2 - 8, 4*a - 2*q = 2. What is y in 40 + 12*y + 6*y**a - 38*y**2 + 28*y**2 = 0?
-2, 5
Let l(b) be the second derivative of b**6/105 - 4*b**5/5 - 115*b**4/42 - 58*b**3/21 + 7177*b - 1. Determine z so that l(z) = 0.
-1, 0, 58
Let -78/5 + 3/5*p**3 - 72/5*p**2 - 153/5*p = 0. Calculate p.
-1, 26
Determine k so that 408/7*k**3 + 0 - 192/7*k + 10/7*k**5 + 296/7*k**2 + 18*k**4 = 0.
-8, -3, -2, 0, 2/5
Suppose -65*o = -30*o - 105. Let q(j) be the third derivative of -13*j**2 + 0 + 1/30*j**4 + 0*j**o + 2/75*j**5 + 0*j - 1/120*j**6. Factor q(c).
-c*(c - 2)*(5*c + 2)/5
Let y be (-39)/(-13) - (0 - -1 - 5). Suppose -4*m + y*m = 6. Factor g**3 + m*g**4 - 3*g**3 - 2*g**3 + 4*g**2 + 10*g**3.
2*g**2*(g + 1)*(g + 2)
Let v(t) be the second derivative of t**7/420 - t**6/30 - 7*t