 p = -594 - s. What is l in -8*l**4 - 16*l**p - 16/3*l + 0 - 52/3*l**3 - 4/3*l**5 = 0?
-2, -1, 0
Let s be ((-1485)/(-675))/(6/20). Let o(u) be the first derivative of -21/4*u**4 - s*u**3 - 8*u + 20 + 18*u**2. Solve o(a) = 0 for a.
-2, 2/7, 2/3
Let s(w) be the second derivative of w**5/10 - 22*w**4/3 + 85*w**3/3 - 42*w**2 + 1838*w. Determine r so that s(r) = 0.
1, 42
Let j be 8 - (-2 + 4/4). Solve 3496*z**4 + 6*z - 36*z**3 - 3499*z**4 + 9*z**3 + 9*z**5 - j*z**2 = 0.
-1, 0, 1/3, 2
Let o(h) be the first derivative of 5*h**6/6 + 5*h**5 - 65*h**4/4 + 35*h**3/3 - 837. Determine p so that o(p) = 0.
-7, 0, 1
Let r(n) be the first derivative of -n**4/32 + 3*n**3/4 + n**2/16 - 9*n/4 + 4780. Determine i so that r(i) = 0.
-1, 1, 18
Determine r so that 0 + 2900/7*r**2 + 724/7*r + 2188/7*r**3 + 12/7*r**4 = 0.
-181, -1, -1/3, 0
Let z(m) be the second derivative of 0*m**2 + 0 + 3*m**3 + 6/5*m**5 - 3*m**4 + 1/63*m**7 + 31*m - 2/9*m**6. Let z(k) = 0. Calculate k.
0, 1, 3
Let u(x) be the second derivative of -19*x + 0 - 10/3*x**3 + 1/54*x**4 + 225*x**2. Determine n, given that u(n) = 0.
45
Let a(v) be the second derivative of v**7/210 - 79*v**6/75 - 163*v**5/100 + 158*v**4/15 + 106*v**3/5 - 6450*v. Determine j, given that a(j) = 0.
-2, -1, 0, 2, 159
Let f(w) = 7*w**3 - 177*w**2 - 363*w - 191. Let t(q) = -12*q**3 + 354*q**2 + 724*q + 378. Let a(d) = -10*f(d) - 6*t(d). Let a(y) = 0. What is y?
-1, 179
Suppose 0*b + 5688/7*b**2 + 3/7*b**3 + 0 = 0. Calculate b.
-1896, 0
Let w(c) = 9*c**2 + c. Let g(i) = -35*i**2 + 66*i + 325. Let m(p) = 5*g(p) + 20*w(p). What is j in m(j) = 0?
-65, -5
Suppose 0 = 3*j - 6, -273*d = -278*d + 4*j + 17. Let k(x) be the first derivative of 10*x**3 + 25/8*x**4 + 45/4*x**2 + d*x + 11. Solve k(i) = 0 for i.
-1, -2/5
Let v(d) be the first derivative of d**6/9 - 46*d**5/9 + 1121*d**4/18 - 722*d**3/27 + 506. Let v(w) = 0. What is w?
0, 1/3, 19
Factor 148*x**2 - 44*x + 38*x**3 - 815*x**4 + 812*x**4 + 336*x - 475*x**3.
-x*(x - 1)*(x + 146)*(3*x + 2)
Let r be -2 + (-45)/(-5)*4 + 3. Factor 5*w**4 + 85*w**2 + 22 - 19 + r - 55*w**3 + 50*w**2 - 125*w.
5*(w - 8)*(w - 1)**3
Let g(h) be the first derivative of 3/2*h**4 + 3/20*h**5 + 72 + 6*h**2 + 9/2*h**3 + 15/4*h. Suppose g(k) = 0. What is k?
-5, -1
Determine p so that 1/5*p**2 - 7*p + 0 = 0.
0, 35
Let f(t) be the third derivative of 59*t**2 + 1/40*t**6 + 0 - t + 0*t**3 - 11/20*t**5 + 0*t**4. Factor f(k).
3*k**2*(k - 11)
Let z(s) be the second derivative of s**7/273 + 16*s**6/5 + 1243*s**5/65 + 1862*s**4/39 + 827*s**3/13 + 620*s**2/13 + 2698*s + 2. Factor z(c).
2*(c + 1)**4*(c + 620)/13
Let v be 0 - ((-150)/99 + (-27)/(-47 - 34)). Factor -10/11 - 1/11*j**3 + v*j - 2/11*j**2.
-(j - 2)*(j - 1)*(j + 5)/11
Let p(u) be the first derivative of 0*u**2 + 2/35*u**5 + 3/7*u**4 - 111 + 6/7*u**3 + 0*u. Factor p(x).
2*x**2*(x + 3)**2/7
Let w = -201 - -200. Let t be (-18)/(-54) - w/(-3). Factor t*q - 3/5*q**4 + 0*q**2 + 3/5*q**3 + 0.
-3*q**3*(q - 1)/5
Let t(f) be the third derivative of -f**8/2016 - f**7/252 + f**6/80 + 17*f**5/360 - f**4/18 - f**3/3 - 117*f**2. Find r, given that t(r) = 0.
-6, -1, 1, 2
Let q(r) be the first derivative of 16*r**6/3 - 36*r**5/5 - 239*r**4 - 2312*r**3/3 - 744*r**2 + 224*r + 7306. Factor q(x).
4*(x - 7)*(x + 2)**3*(8*x - 1)
Let m(z) = z**2 + 14*z + 24. Suppose -3*j + 12 = 3*b, 0 = 5*b - 8*b - 2*j + 11. Let v(s) = -12*s - 24. Let t(c) = b*v(c) + 4*m(c). Factor t(p).
4*(p + 2)*(p + 3)
Let l(f) be the first derivative of f**5/10 - 15*f**4 - f**3/6 + 30*f**2 - 4589. Suppose l(d) = 0. Calculate d.
-1, 0, 1, 120
Suppose -421*h - 210 = -428*h. Let -3*g**2 - 24 + h*g - 70*g + 33*g + 25*g = 0. What is g?
2, 4
Let j be 2 - (0/(-15))/(1*2). Factor -10*g**j + 0*g - 10*g**2 + 6*g + 9*g**3 - g**2.
3*g*(g - 2)*(3*g - 1)
Let c(g) be the first derivative of -345*g**4 - 107*g**3/3 + 183*g**2/2 + 2*g + 5671. Let c(j) = 0. What is j?
-2/5, -1/92, 1/3
Let c(n) be the first derivative of n**4 - 13*n**3/9 - 23*n**2/6 + 2*n/3 + 220. What is m in c(m) = 0?
-1, 1/12, 2
Let u(w) be the second derivative of w**4/18 - w**3/9 - 10*w**2 - 1054*w. Factor u(l).
2*(l - 6)*(l + 5)/3
Suppose -2052*i**2 - 1008/5 + 6756/5*i - 3591/5*i**3 - 147/5*i**4 = 0. What is i?
-21, -4, 2/7
Let p(z) be the third derivative of -z**8/20160 + z**7/2520 - z**6/720 + z**5/360 + z**4/3 - 40*z**2. Let x(a) be the second derivative of p(a). Factor x(i).
-(i - 1)**3/3
Let 0*d**2 + 3*d**2 + 482 + 692*d + d**2 + 265 + 621 = 0. What is d?
-171, -2
Let b(u) be the third derivative of -u**8/2520 - 11*u**7/315 - 7*u**6/60 + 11*u**5/90 + 53*u**4/90 + 3523*u**2. Determine q, given that b(q) = 0.
-53, -2, -1, 0, 1
Let t(q) be the second derivative of -q**5/4 + 275*q**4/6 + 185*q**3/2 - 60*q. Factor t(i).
-5*i*(i - 111)*(i + 1)
Let y(s) be the first derivative of -s**5/150 + s**4/60 + 14*s**2 - 43. Let b(h) be the second derivative of y(h). Factor b(w).
-2*w*(w - 1)/5
Find g such that 2/3*g**4 - 16/3*g**3 - 8*g + 0 + 38/3*g**2 = 0.
0, 1, 3, 4
Let z = -673 + 965. Determine h so that 495*h**2 - 208 + 57*h**3 + 10*h**3 + 5*h**4 - z + 33*h**3 - 100*h = 0.
-10, -1, 1
Let n(u) be the first derivative of u**4/12 - 7*u**3/9 - 7*u**2/2 + 9*u - 5992. Factor n(o).
(o - 9)*(o - 1)*(o + 3)/3
Factor -4/5*f**3 + 72/5 - 67/5*f**2 - 271/5*f.
-(f + 8)*(f + 9)*(4*f - 1)/5
Suppose 13/5*o**2 - 11/5*o**3 + 51/5*o - 54/5 + 1/5*o**4 = 0. What is o?
-2, 1, 3, 9
Let o(w) be the second derivative of w**6/15 - 42*w**5/5 + 529*w**4/2 + 7480*w**3/3 + 5808*w**2 - 1143*w + 1. Factor o(z).
2*(z - 44)**2*(z + 1)*(z + 3)
Let g(x) be the third derivative of 0 - 20/3*x**3 + 27*x + x**4 - 3*x**2 - 1/30*x**5. Factor g(b).
-2*(b - 10)*(b - 2)
Let t(g) be the third derivative of g**5/30 - 7*g**4/12 - 6*g**3 + 4002*g**2. Factor t(q).
2*(q - 9)*(q + 2)
Let l(o) be the third derivative of -o**6/72 - 2*o**5/9 + 3965*o**4/72 + 2000*o**3/9 + 1506*o**2. Determine q, given that l(q) = 0.
-32, -1, 25
Let r(h) be the second derivative of 1/3*h**4 + 67*h - 6*h**3 + 0 + 16*h**2. Factor r(v).
4*(v - 8)*(v - 1)
Factor -1791/2*x + 243/2 + 3333/2*x**2 - 121/2*x**3.
-(x - 27)*(11*x - 3)**2/2
Let t be 6 - (89 + -90)/(5/(-20)). Let a be ((-6)/(-8))/((-63)/(-24)). What is c in a*c + 2/7*c**t - 4/7 = 0?
-2, 1
Let b be 87/(-3) + 4 + 27. Let -2/3*l**5 + 2/3*l**3 + 2*l**4 - 8/3 - 22/3*l**b + 8*l = 0. Calculate l.
-2, 1, 2
Let f(x) be the third derivative of -x**5/60 + 11*x**4 + 266*x**3/3 + 512*x**2 + 9. Factor f(k).
-(k - 266)*(k + 2)
Let h(n) be the first derivative of n**5/3 + 13*n**4/12 - 29*n**3/9 - n**2/6 + 4*n - 49. Determine c, given that h(c) = 0.
-4, -3/5, 1
Let c(h) = -h**3 + 11*h**2 + 6. Let j be c(11). Suppose -2*m**2 - 4*m**2 - 9*m - 2*m - 5*m - j + 4*m**3 = 0. What is m?
-1, -1/2, 3
Let t(s) be the third derivative of -s**8/672 + s**7/175 + s**6/1200 - s**5/50 + s**4/60 + 348*s**2. Determine r, given that t(r) = 0.
-1, 0, 2/5, 1, 2
Let p = -1951799/600 - -3253. Let n(h) be the third derivative of 0 + 1/300*h**5 + 0*h + 1/120*h**4 - p*h**6 - 1/30*h**3 - 27*h**2. What is o in n(o) = 0?
-1, 1
Let r = 1952 + -1152. Factor 45*p**2 + 76*p**4 + 158*p**3 - 1386*p**2 - 2*p**5 - r*p - 179*p**2 - 800*p**3.
-2*p*(p - 20)**2*(p + 1)**2
Let f(k) = -7*k**2 + 16*k - 9. Let i(d) = 8*d**2 - 16*d + 8. Let c = 17 + -20. Let v(x) = c*i(x) - 4*f(x). Determine m, given that v(m) = 0.
1, 3
Let y(r) = -33*r - 125. Let p be y(-8). Suppose -141*a + p*a = -4. What is i in 1/8*i + 1/4 - 1/8*i**a = 0?
-1, 2
Let z(c) = 6877*c - 226938. Let x be z(33). Factor 6/5*o - 1/5*o**4 - 1/5*o**2 - 4/5*o**x + 0.
-o*(o - 1)*(o + 2)*(o + 3)/5
Let b(z) = z**4 + 28*z**3 - 24*z**2 + 16. Let c(j) = -3*j**3 - j**2 - 2. Let i(w) = b(w) + 8*c(w). Factor i(m).
m**2*(m - 4)*(m + 8)
Suppose -6*d + 8*d + 70 = 5*g, 4*d + 80 = 5*g. Let v(q) be the second derivative of 0 + 6*q**3 + 1/10*q**6 - 9/20*q**5 - 4*q - 1/2*q**4 - g*q**2. Factor v(h).
3*(h - 2)**2*(h - 1)*(h + 2)
Factor -195*k**3 - 5/2*k**2 + 195*k + 0 + 5/2*k**4.
5*k*(k - 78)*(k - 1)*(k + 1)/2
Let y(x) = -31*x**2 + x - 2. Let v be y(1). Let q be (14/(-3))/(3*v/72). Let q*p - 5/2*p**2 + 1/2*p**3 - 3/2 = 0. Calculate p.
1, 3
Solve -11/7*p - 4 - 1/7*p**2 = 0 for p.
-7, -4
Let w(q) be the second derivative of 3*q**5/140 - 13*q**4/28 - q**3/14 + 39*q**2/14 - 585*q. Factor w(c).
3*(c - 13)*(c - 1)*(c 