 608/5*h - 2/5*h**2 = 0.
2, 302
Suppose -16*f - 9*f + 10125 = 0. Find u, given that -f*u - 456 + 125*u + 636 + 15*u**2 = 0.
2/3, 18
Let h = 133960 - 1205638/9. Factor -4/9 - h*r**2 - 2/3*r.
-2*(r + 1)*(r + 2)/9
Let x be 16/10*41360/51136. Factor 4/17*r**2 + x*r + 18/17.
2*(r + 1)*(2*r + 9)/17
Let n be 94968/(-1080)*1/(-2)*-3. Let y = -131 - n. Find t, given that -7/10*t**2 - y*t - 1/5 = 0.
-1, -2/7
Let w(q) be the second derivative of -q**7/3780 - q**6/216 - q**5/45 - q**4/6 + 3*q**3 - 34*q. Let k(z) be the third derivative of w(z). What is n in k(n) = 0?
-4, -1
Let n(f) be the second derivative of -1/2*f**3 - 1/100*f**5 + 0 + 171*f + 7/60*f**4 + 9/10*f**2. Suppose n(c) = 0. Calculate c.
1, 3
Let q(i) be the first derivative of -1/4*i**2 + 9/2*i - 3/2*i**3 + 83 + 1/8*i**4. Find b such that q(b) = 0.
-1, 1, 9
Suppose -6 = -7*g + 8. Let t(a) = -4*a - 46. Let h be t(-12). Factor -2*j - 14*j**2 + 9*j**2 + j + h*j**g.
-j*(3*j + 1)
Let b(t) be the second derivative of -t**8/2240 - t**7/280 - t**6/120 - 53*t**4/12 + 10*t + 1. Let a(s) be the third derivative of b(s). Solve a(q) = 0 for q.
-2, -1, 0
Let p(r) = -5*r**4 - 52*r**3 - 33*r**2 + 61*r + 56. Let v(g) = -g**4 - 13*g**3 - 9*g**2 + 15*g + 14. Let s(y) = 4*p(y) - 18*v(y). Factor s(x).
-2*(x - 14)*(x - 1)*(x + 1)**2
Let b(h) be the second derivative of -h**4/42 + 569*h**3/21 + 1716*h**2/7 + 13931*h. Factor b(m).
-2*(m - 572)*(m + 3)/7
Let u(f) be the first derivative of 2*f**6/3 - 4*f**5/5 - 9*f**4 + 12*f**3 - 3335. Solve u(k) = 0 for k.
-3, 0, 1, 3
Suppose j + 8 = 2*p, -2*p + 4*j + 10 = 2. Let v(g) = 95*g - 380. Let y be v(p). Factor 0*n + y + 3/5*n**2.
3*n**2/5
Let m(r) be the first derivative of -r**5/110 - r**4/66 + 2*r**3/33 - 25*r + 16. Let k(g) be the first derivative of m(g). Factor k(l).
-2*l*(l - 1)*(l + 2)/11
Let u be (4 - 2) + (3 + 0 + -2)*1. Let k(r) be the second derivative of 0 + 5/4*r**4 + 19*r + 4*r**u + 3/20*r**5 + 6*r**2. Factor k(x).
3*(x + 1)*(x + 2)**2
Let p be -14*(-1)/4 - (-555)/(-185). Let m(x) be the first derivative of x**2 + 26 + 4*x - 4/3*x**3 - p*x**4. Determine k, given that m(k) = 0.
-2, -1, 1
Let j(t) be the first derivative of 0*t + 164/35*t**5 + 4/7*t**2 - 15/7*t**6 - 102 - 25/14*t**4 - 32/21*t**3. Solve j(l) = 0 for l.
-2/5, 0, 2/9, 1
What is j in -3333*j - 3*j**2 + 336*j + 94 - 94 = 0?
-999, 0
Let y(g) be the second derivative of -120*g**3 + 100*g**4 + 0*g**2 + 5/2*g**7 - 273*g + 130/3*g**6 + 212*g**5 + 0. Let y(p) = 0. Calculate p.
-6, -2/3, 0, 2/7
Suppose 0 = 3*m + m + 2*h - 2572, 0 = -m - 4*h + 629. Let p = m - 645. Solve 1/3*w**3 + 1/3*w + p - 2/3*w**2 = 0.
0, 1
Let j(c) be the third derivative of c**5/240 - 803*c**4/96 + 267*c**3/4 + 360*c**2 - c + 2. Factor j(p).
(p - 801)*(p - 2)/4
Let u be (30 + 46)/((-14)/(-19)). Factor -u - 76/7*k - 2/7*k**2.
-2*(k + 19)**2/7
Suppose 14840 = h - 21*h. Let y = h + 3714/5. Let y*p**3 + 4/5*p + 14/5*p**2 + 0 - 6/5*p**4 = 0. Calculate p.
-1, -1/3, 0, 2
What is k in 90/7*k**4 + 8/7*k**5 + 64/7 + 358/7*k**3 + 384/7*k + 596/7*k**2 = 0?
-4, -2, -1, -1/4
Let v = 155/112 + -15/14. Let n(r) be the second derivative of 0 - 25/12*r**3 - 15/8*r**2 - v*r**4 + 27*r. Factor n(i).
-5*(i + 3)*(3*i + 1)/4
Let p = -4390 - -118531/27. Let a(d) be the second derivative of 0 + p*d**3 + 4*d + 1/54*d**4 - 2/9*d**2. Find c such that a(c) = 0.
-2, 1
Let p = -816250 - -6530003/8. Factor 15/8*a + 3/2*a**2 - p*a**3 + 0.
-3*a*(a - 5)*(a + 1)/8
Let q(n) be the first derivative of -n**5/5 - 19*n**4/2 - 136*n**3 - 749*n**2 - 1127*n + 1305. Factor q(i).
-(i + 1)*(i + 7)**2*(i + 23)
Factor 202248/7 + 6360/7*a + 50/7*a**2.
2*(5*a + 318)**2/7
Let i(u) be the second derivative of -32/21*u**3 + 0*u**2 + 0*u**4 + 25 + u + 0*u**6 + 8/35*u**5 - 2/147*u**7. Let i(f) = 0. Calculate f.
-2, 0, 2
Let f(x) be the first derivative of -190 - 1/4*x**3 - 9*x + 3*x**2. Suppose f(b) = 0. What is b?
2, 6
Let w = -6667/371 + 1384/53. What is c in 3/7*c**3 + 54/7*c**2 - w*c + 0 = 0?
-19, 0, 1
Let h be -3 + (-174)/(-54) - (-43)/9. Suppose -h*i = -2*i - 6. Factor 9 + 105*m**i - 3*m**4 + 0*m**5 - 21*m - m**5 - 95*m**2 + 6*m**3.
-(m - 1)**3*(m + 3)**2
Let s = 311 - 311. Suppose a - 2*m = -8, m + 5 = -2*a + 14. Let -4/17*v**a + s*v + 0 + 2/17*v**3 = 0. What is v?
0, 2
Let r(q) = 6*q - 41. Let h be r(22). Let -37*m - 31*m**2 - 22*m**2 + h*m**2 - m**3 = 0. What is m?
0, 1, 37
Let f(d) be the first derivative of -d**7/42 + d**6/24 + 43*d**2/2 + 82. Let r(z) be the second derivative of f(z). Factor r(u).
-5*u**3*(u - 1)
Factor -63*m**2 + 3/5*m**3 + 312/5*m + 0.
3*m*(m - 104)*(m - 1)/5
Let f(p) be the first derivative of p**2 + 101 - 5/3*p - 1/9*p**3. Factor f(i).
-(i - 5)*(i - 1)/3
Let z(d) = -10*d**3 + 1140*d**2 + 5905*d + 6225. Let c(m) = -m**3 + 126*m**2 + 656*m + 692. Let u(x) = -35*c(x) + 4*z(x). Factor u(g).
-5*(g - 34)*(g + 2)**2
Let t(p) = 1722*p + 53384. Let c be t(-31). Find i, given that 68/3*i**c - 20*i + 8*i**5 + 8/3 + 12*i**3 - 76/3*i**4 = 0.
-1, 1/6, 1, 2
Suppose -27*a + 40828 = -8420. Let z be 9/6*a/380. Factor 4/5*k**3 + z*k + 0 + 24/5*k**2.
4*k*(k + 3)**2/5
Suppose 10*r - 5*d = 0, 0 = -5*r + 277*d - 275*d. Let i(j) be the third derivative of -5*j**2 + 1/60*j**5 + r*j - 1/3*j**3 - 1/24*j**4 + 0. Solve i(l) = 0.
-1, 2
Let r be ((-10)/(-20))/((-4)/(-24)). Let t(n) be the first derivative of -14/9*n**r + 26/3*n**2 + 16/3*n + 4. Let t(u) = 0. Calculate u.
-2/7, 4
Let x(i) be the second derivative of -i**5/30 - 5*i**4/6 - 50*i**3/9 - 1155*i. Solve x(a) = 0.
-10, -5, 0
Let p(o) = -244*o**3 + 200*o**2 - 1840*o - 18832. Let q(x) = 229*x**3 - 200*x**2 + 1837*x + 18831. Let l(c) = 15*p(c) + 16*q(c). Factor l(z).
4*(z - 28)**2*(z + 6)
Let s(b) be the first derivative of -4/25*b**5 + 205 + 1/2*b**4 - 4/5*b**2 + 4/3*b**3 - 1/15*b**6 - 16/5*b. Determine o, given that s(o) = 0.
-2, -1, 1, 2
What is z in 623045 + 5628590*z**2 - 70113*z**4 + 140279*z**4 - 70121*z**4 - 31800*z**3 - 3741800*z = 0?
1/3, 353
Let z be 5 - 2 - ((-5 - -11) + -3). Solve -q**4 - q**4 + 25*q**3 + z*q**4 - 5*q**4 + 20*q - 40*q**2 + 2*q**4 = 0 for q.
0, 1, 2
Let o be (11 + (7 - 13))*(32/10)/8. What is f in 600 + 40*f + 2/3*f**o = 0?
-30
Suppose -152 + 32 = -5*w. Let n be (5*(-12)/(-100)*(17 - 14))/((-18)/(-15)). Factor -12*k + w + n*k**2.
3*(k - 4)**2/2
Factor 388/5*j + 387/5 + 1/5*j**2.
(j + 1)*(j + 387)/5
Let c(j) be the second derivative of -j**4/54 - 5*j**3/27 + 2*j**2/3 + 192*j + 4. Solve c(n) = 0 for n.
-6, 1
Let u(h) be the third derivative of -h**8/448 + 2*h**7/35 - 9*h**6/32 - 27*h**5/40 + 27*h**4/4 - 2202*h**2. Let u(m) = 0. Calculate m.
-2, 0, 3, 12
Let n(f) be the first derivative of 9/10*f**5 + 32*f - 22/3*f**3 - 3/2*f**4 - 20 + 8*f**2. Factor n(b).
(b - 2)**2*(3*b + 4)**2/2
Let m(f) be the second derivative of f**4/2 + 23*f**3/2 + 33*f**2/2 - 75*f. Factor m(g).
3*(g + 11)*(2*g + 1)
Let h(q) = q**3 - 25*q**2 + 197*q - 495. Let b be h(6). Factor -1/5*p**b - 84/5*p**2 - 2352/5*p - 21952/5.
-(p + 28)**3/5
Factor -103*c + 424*c - 153*c - 23*c - 5*c**3 + 210 + 10*c**2.
-5*(c - 7)*(c + 2)*(c + 3)
Let z(j) be the third derivative of 0 - 8*j**3 + 11*j**2 + 7/6*j**4 + 0*j - 1/15*j**5. Factor z(n).
-4*(n - 4)*(n - 3)
Let s(m) be the first derivative of m**3 + 2823*m**2 + 2656443*m - 2713. Solve s(x) = 0 for x.
-941
Let w(k) be the second derivative of -1/21*k**7 - 1/3*k**6 - 5/3*k**4 - k**2 - 5/3*k**3 - 8*k - k**5 - 1. Factor w(g).
-2*(g + 1)**5
Factor 3204 - 594 + 1045*t - 7*t**2 + 570 + 2*t**2.
-5*(t - 212)*(t + 3)
Let d(c) be the first derivative of -c**4/14 - 176*c**3/3 + 4674. Determine p so that d(p) = 0.
-616, 0
Find m, given that m**5 - 1730*m**3 - 5*m**4 - 344*m + 684*m**2 + 86*m**4 + 1308*m**3 = 0.
-86, 0, 1, 2
Let g be (0/(-1))/(12/12). Let b(t) be the third derivative of -23*t**2 + 1/4*t**4 + g*t**3 + 0*t - 3/40*t**6 + 0 + 1/4*t**5. Factor b(h).
-3*h*(h - 2)*(3*h + 1)
Let m be (-12280)/(-5833) + 5/(570/(-12)). Suppose 24/5 - 3/5*t**m + 21/5*t = 0. What is t?
-1, 8
Let q(n) be the first derivative of -n**5/50 - n**4/30 + 4*n**3/15 + 4*n**2/5 - 46*n - 92. Let b(w) be the first derivative of q(w). Factor b(t).
-2*(t - 2)*(t + 1)*(t + 2)/5
Let v be (-5)/(7526/94075 + (-11)/(-350)*-48). Find i, given that -6 - 1/4*i**2 - v*i = 0.
-12, -2
Let p be (-8580)/220*(-2)/6. Let c(n) be the second derivativ