*m + 14. Let h = -46 + 48. Let c(v) = h*j(v) + q(v). Determine w, given that c(w) = 0.
-2, -1, 2, 3
Let u(s) be the first derivative of -s**3/3 - 4105*s**2/8 - 513*s/2 + 12245. Solve u(v) = 0 for v.
-1026, -1/4
Let g = -108 - -111. Let r be 2/(-8)*564/47*(-4)/66. Factor -12/11*f**g + 24/11*f**2 - 16/11*f + r*f**4 + 0.
2*f*(f - 2)**3/11
Let d(g) = 334*g**3 + 2*g**2 - g + 1. Let x be d(1). Let b = -333 + x. Factor -9/7 - 3/7*v**2 + 15/7*v - 3/7*v**b.
-3*(v - 1)**2*(v + 3)/7
Let q = -616209/70 - -8803. Let t(g) be the third derivative of 1/4*g**4 - q*g**7 + 0*g**5 + 1/2*g**3 + 0*g - 1/20*g**6 + 0 + 8*g**2. Let t(o) = 0. What is o?
-1, 1
Let p(z) be the second derivative of -z**7/98 - 33*z**6/70 - 33*z**5/5 - 249*z**4/7 - 360*z**3/7 - 3620*z. Solve p(i) = 0.
-20, -6, -1, 0
Let d be 1954/234 + -4 - -19*(-17)/(-2907). Solve -2/13*w**2 - 56/13*w + d = 0 for w.
-29, 1
Let r(k) be the third derivative of -k**8/98 + 47*k**7/735 - 43*k**6/420 - 4*k**5/105 + k**4/21 - 867*k**2. Suppose r(f) = 0. Calculate f.
-1/3, 0, 1/4, 2
Let f(s) be the third derivative of -s**8/112 - 53*s**7/70 - 33*s**6/4 - 88*s**5/5 + 92*s**4 + 99*s**2. Find z such that f(z) = 0.
-46, -4, 0, 1
Let a(n) = n**3 + 425*n**2 - 6*n - 6. Let t(l) = -3*l**3 - 1271*l**2 + 16*l + 16. Let o(m) = 8*a(m) + 3*t(m). Factor o(k).
-k**2*(k + 413)
Let h = 361 - 349. Suppose d - 2*g - h = 0, 2*g = d - 2*d - 4. Let 6/13*a**3 + 16/13*a**2 + 8/13*a - 2/13*a**5 - 4/13*a**d + 0 = 0. What is a?
-2, -1, 0, 2
Let m(d) = -40*d**2 - 21*d - 101. Let o(t) = 147*t**2 + 84*t + 403. Let i(g) = 22*m(g) + 6*o(g). Suppose i(y) = 0. Calculate y.
-14, -7
Suppose -18*c = -49*c + 2015. Suppose 2*z**4 - 11*z + 4*z + 16*z**3 + c*z**2 - 14 - 53*z**2 - 9*z = 0. What is z?
-7, -1, 1
Let q = 21765/14 - 239163/154. Find c, given that 4/11*c - q*c**2 - 4/11*c**3 + 18/11*c**4 + 0 = 0.
-1, 0, 2/9, 1
Let v(c) be the third derivative of -c**6/120 + 9*c**5/20 - 2*c**2 + 66*c - 1. Determine i so that v(i) = 0.
0, 27
Suppose 78*n**3 - 360*n**3 + 317*n**2 - 720*n - 63*n**3 + 753*n**2 - 5*n**4 = 0. Calculate n.
-72, 0, 1, 2
Factor -41*x**2 + 49*x - 59*x**2 + 126*x**2 + x**3 - 51*x**2 + 17*x.
x*(x - 22)*(x - 3)
Let y(v) be the first derivative of -v**5/18 - v**4/54 + 113*v**2/2 - 83. Let p(w) be the second derivative of y(w). Factor p(j).
-2*j*(15*j + 2)/9
Let k(w) = 21*w + 275. Let t be k(-13). Let i(a) be the second derivative of 8*a - 1/6*a**3 + 1/60*a**5 + 0 - 1/3*a**t + 0*a**4. Suppose i(y) = 0. What is y?
-1, 2
Let x(j) be the first derivative of -j**5/35 + 2*j**3/3 + 12*j**2/7 + 26*j + 5. Let c(w) be the first derivative of x(w). Let c(y) = 0. Calculate y.
-2, -1, 3
Factor 10939 - 8361 - 941*x**2 - 19182 - 146680*x + 35760*x - 2*x**3 - 38621.
-(x + 235)**2*(2*x + 1)
Let q = 10913 + -10907. Let k(y) be the first derivative of q*y**2 + 2 + 4/3*y**3 + 8*y. Factor k(l).
4*(l + 1)*(l + 2)
Determine h, given that -2/5*h**5 + 1300*h**3 + 1952*h**2 + 1302*h + 324*h**4 + 1628/5 = 0.
-1, 814
Let t(c) be the third derivative of -8/105*c**5 + 0*c**3 - 1/98*c**8 - 1/60*c**6 + 1/21*c**4 + 13*c**2 + 31/735*c**7 + 1 + 0*c. Suppose t(r) = 0. Calculate r.
-2/3, 0, 1/4, 1, 2
Let s = -3 + 3. Let f(g) = -4*g + 2. Let n be f(s). Factor -m**3 + 4*m + 2 - 3*m**3 + 5*m**n + m**3 - 6.
-(m - 2)*(m + 1)*(3*m - 2)
Let q(h) = 4*h**3 - 3*h**2 + 8*h - 11. Let s be q(2). Factor 0*v + 25 + s + 5*v - 52 - 3*v**3 + 4*v**2.
-(v - 2)*(v + 1)*(3*v - 1)
Let a = -177807 + 1422519/8. Factor 3/8*u**2 - a*u - 69/4.
3*(u - 23)*(u + 2)/8
Let 2/7*m**2 + 22/7*m + 60/7 = 0. What is m?
-6, -5
Suppose -t = o - 1, -122*t - 5*o = -127*t - 5. Factor 0*b**2 - 12/13*b**3 + 0*b + t + 2/13*b**4.
2*b**3*(b - 6)/13
Let q = -66477 + 66481. Suppose 0*j**2 + 0 + 0*j**q - 1/3*j**5 + 1/3*j**3 + 0*j = 0. What is j?
-1, 0, 1
Let z(b) = -5*b**2 - 33*b - 43. Let g be z(-2). Let i(h) be the first derivative of -2/21*h**g + 10/7*h + 16 + 4/7*h**2. Factor i(s).
-2*(s - 5)*(s + 1)/7
Let k(n) be the third derivative of -n**5/120 + 271*n**4/48 - 45*n**3/2 + 10*n**2 - 29*n. Solve k(h) = 0 for h.
1, 270
Determine o so that 10/9 - 8/9*o**4 - 19/9*o - 1/9*o**5 - 2/9*o**2 + 20/9*o**3 = 0.
-10, -1, 1
Let b be ((-835)/(-10))/((-107)/18 - -6). Let g = -4505/3 + b. Suppose -2/3*t**2 - g + 2*t = 0. Calculate t.
1, 2
Suppose 6726 = -74*b + 68*b. Let h = b + 1123. Find j such that 1/8*j**h + 3/4 + 7/8*j = 0.
-6, -1
Let y = 345699 + -3111287/9. Factor 4/3*k + y*k**2 + 8/9.
4*(k + 1)*(k + 2)/9
Let u(j) be the first derivative of 15/28*j**4 - 33 - 3/35*j**5 - j**3 + 9/14*j**2 + 0*j. Suppose u(p) = 0. Calculate p.
0, 1, 3
Let t = -84818 + 84822. Let 32/3 + 4/3*f**3 + 4/3*f**5 + 20/3*f**t - 8/3*f - 52/3*f**2 = 0. Calculate f.
-4, -2, -1, 1
Factor 1/3*q**2 + 341/3*q + 226.
(q + 2)*(q + 339)/3
Suppose 48*u = 52*u + 56. Let x = -11 - u. Solve 5*s**x + 9*s - 2*s**3 + 3 + 7*s**2 + 2*s**2 = 0 for s.
-1
Factor 12482/19 + 2/19*k**2 + 316/19*k.
2*(k + 79)**2/19
Let r = -400 - -404. Suppose -r*f + 3*g = -12, -52*f + 3*g = -54*f + 6. Factor 0 + 0*d + 15/7*d**f + 2/7*d**2.
d**2*(15*d + 2)/7
Let d be ((-963)/32 + 30)/(2/(-16)). Let l(j) be the first derivative of -3/5*j**5 + 3*j**3 - 3/2*j**2 - 4 + d*j**4 - 6*j. Suppose l(n) = 0. What is n?
-1, 1, 2
Let s = -149735/2 - -74869. Factor -4 - 1/4*u**2 + s*u**3 - 6*u - 1/4*u**4.
-(u - 4)**2*(u + 1)**2/4
Let n(h) = 5*h**2 - 20*h - 21. Let l(w) = -w**2 + w. Suppose c + 4*p - 14 = -8, 3*p - 14 = 4*c. Let o(i) = c*l(i) - n(i). What is m in o(m) = 0?
-1, 7
Let x(z) = z**2 + 246*z. Let y be x(0). Factor -3*m**2 + 3/4*m**4 - 3/8*m**5 + y*m + 0 + 3/2*m**3.
-3*m**2*(m - 2)**2*(m + 2)/8
Let h(s) be the second derivative of 2/9*s**6 - 14/9*s**4 + 193*s + 50/3*s**2 + 11/15*s**5 + 0 + 1/63*s**7 - 55/9*s**3. Find n, given that h(n) = 0.
-5, -2, 1
Let i(t) = 11*t**5 + 40*t**4 + 3*t**3 - 68*t**2 - 7. Let x(g) = -8*g**5 - 26*g**4 - 2*g**3 + 46*g**2 + 5. Let k(f) = 5*i(f) + 7*x(f). Factor k(l).
-l**2*(l - 18)*(l - 1)*(l + 1)
Let z = 857/4134 - 17/318. What is u in -98/13 + 2*u**2 - 70/13*u - z*u**3 = 0?
-1, 7
Let m(w) be the first derivative of -w**6/1800 - 23*w**5/600 - 11*w**4/60 + 146*w**3/3 + 7. Let r(k) be the third derivative of m(k). Solve r(q) = 0 for q.
-22, -1
Suppose 0 = -u + 4*z - 20, -2*u + 5 = z - 0*z. Suppose u = -o + 3. Factor -2*x**2 + 2*x**2 - 2*x**o + 6*x + 117 - 113.
-2*(x - 2)*(x + 1)**2
Solve -332 - 329/3*l + 1/3*l**2 = 0.
-3, 332
Let c(w) = -1. Let j(f) = -f**3 + 107*f**2 - 211*f + 104. Let q(o) = -3*c(o) + 3*j(o). Factor q(m).
-3*(m - 105)*(m - 1)**2
Suppose -29*o + 9*h + 73 = -33*o, 0 = -5*o - h + 1. Suppose -1/11*j**o - 4761/11 - 138/11*j = 0. What is j?
-69
Let m(f) = f + 1. Suppose -571*j = -589*j + 36. Let k(o) = -o**2 - 33*o + 55. Let l(i) = j*k(i) + 10*m(i). Factor l(x).
-2*(x - 2)*(x + 30)
Suppose -3*h + 10737 - 10854 = -5*q, 3 = 3*h. Solve -q + 3/2*k**2 + 9*k = 0 for k.
-8, 2
Let i(n) = -48*n**3 + 625*n**2 + 2*n - 193. Let q be i(13). Solve 33/8*k + 1/8*k**q + 4 = 0.
-32, -1
Let h = 1028118 + -1028116. What is a in -64/13*a - 2/13*a**h - 62/13 = 0?
-31, -1
Let k = 3 + 5. Let z = k + -8. Factor 4*s**2 + 50 + 20*s + s**2 + z*s**2 - 3*s**2.
2*(s + 5)**2
Let t(k) be the first derivative of k**4/14 - 16*k**3/21 - 155*k**2/7 - 900*k/7 - 691. What is l in t(l) = 0?
-5, 18
Let z = 90 + -85. Determine y, given that 2 + 24*y - 2*y**z - 14*y**3 - 50 + 51*y + 13*y + 12*y**4 - 36*y**2 = 0.
-2, 1, 2, 3
Let d(b) be the third derivative of -5 + 0*b + 2/3*b**4 + 4/7*b**7 - 11/30*b**6 + 4*b**2 + 0*b**3 + 25/84*b**8 - 4/5*b**5. Factor d(o).
4*o*(o + 1)**2*(5*o - 2)**2
Suppose -27*d - 10 = -32*d. Let p be (-4)/6 + (-434)/(-3). Factor -175 + 16*t**d + 175 - p*t**3 + 324*t**4.
4*t**2*(9*t - 2)**2
Let x(z) = -14*z - 194. Let d be x(-15). Let h be d/(-9)*((-27)/(-18) - 2). Suppose 8/9*w**4 + 4/9*w**3 - h*w**2 + 2/9*w**5 - 2/3*w + 0 = 0. Calculate w.
-3, -1, 0, 1
Let a be (-35)/(-5) + 252 + -16. Suppose 3*z + 231 - a = 0. Find j such that -z*j**2 + 28/9*j - 4/9*j**4 + 20/9*j**3 - 8/9 = 0.
1, 2
Solve -24*h**4 - 76*h**4 - 172*h + 168*h**3 + 361*h**2 - 14*h**5 + 33*h**5 - 15*h**5 - 276 + 15*h**2 = 0 for h.
-1, 1, 3, 23
Let v(g) = -g**3 + 6*g**2 + 14*g + 19. Let z be v(8). Factor -17*p**5 + p**3 + 31*p**5 - z*p**2 - 2*p + 3*p**4 - 13*p**5.
p*(p - 1)*(p + 1)**2*(p + 2)
Let w = -357 - -353. Let f be (w