*2 = 0.
-6, 0, 1
Suppose -38*b + 276 = 54*b. Let g(d) be the second derivative of -16*d + 5*d**b + 35/12*d**4 - 5/2*d**2 + 0. Factor g(a).
5*(a + 1)*(7*a - 1)
Let w be -12*((-112)/12)/7. Let b = w + -16. Suppose 2*d**4 + b*d + 0*d**2 + 7*d**3 + 3*d**2 - 2*d - 5*d**4 - 5*d**5 = 0. What is d?
-1, 0, 2/5, 1
Let v(r) be the first derivative of 54*r**2 + 41 + 6*r**5 + 0*r + 1/2*r**6 + 111/4*r**4 + 60*r**3. Determine h, given that v(h) = 0.
-3, -2, 0
Factor 5/4*m**3 + 36 - 91/4*m**2 - 351/2*m.
(m - 24)*(m + 6)*(5*m - 1)/4
Let v = 244838 - 1713833/7. Factor 1/7*b**3 - v*b - 15/7*b**2 - 17/7.
(b - 17)*(b + 1)**2/7
Suppose -5*q = -3*r - 70, -2*q = q - 2*r - 42. Let v be -10 + 8 + (q - (1 - 1)). Factor 3*x**2 + 54*x - v - 27/2*x**3.
-3*(x - 2)*(x + 2)*(9*x - 2)/2
Let f(o) be the first derivative of -5 - 24*o + 1/2*o**4 + 4/3*o**3 - 11*o**2. Suppose f(r) = 0. Calculate r.
-4, -1, 3
Let h(s) be the third derivative of -s**8/11200 + s**7/525 - 7*s**6/1200 - 49*s**4/6 + 24*s**2. Let b(m) be the second derivative of h(m). Factor b(w).
-3*w*(w - 7)*(w - 1)/5
Let n(j) be the third derivative of 0 + 25/168*j**8 - 26/21*j**7 + 40/3*j**3 + 0*j - 41/60*j**6 + 218*j**2 + 143/15*j**5 + 53/3*j**4. Solve n(y) = 0.
-1, -2/5, 2, 5
Let s(f) be the second derivative of f**4/24 + 17*f**3/6 + 72*f**2 - 445*f. Factor s(b).
(b + 16)*(b + 18)/2
Let k(h) be the first derivative of h**4/2 - 298*h**3/3 + 5475*h**2 + 11250*h + 4888. Let k(v) = 0. Calculate v.
-1, 75
Let p(q) be the first derivative of 6*q**5/25 + 33*q**4/20 + 7*q**3/5 - 39*q**2/5 - 72*q/5 - 4568. Suppose p(f) = 0. What is f?
-4, -2, -1, 3/2
Suppose 0 = -2*z + 4*n + 8, -3*n = z - 11 - 13. Let b be -2*15/z*(-3)/12. Factor 3/4*d + 0 - b*d**4 - 3/2*d**3 + 11/8*d**2.
-d*(d - 1)*(d + 3)*(5*d + 2)/8
Let x(y) be the second derivative of 3*y**5/20 - 27*y**4/2 + 179*y**3/2 + 1575*y**2 - 203*y + 3. Find w such that x(w) = 0.
-3, 7, 50
Let u(x) be the second derivative of -x**4/3 - 7144*x**3/3 - 6379592*x**2 + 2899*x. Factor u(i).
-4*(i + 1786)**2
Suppose 1322*z = -2*w + 1321*z + 4, -5*w = -5*z - 40. Determine g, given that 0 + 0*g + 2/3*g**2 + 2/9*g**5 + 2/9*g**w - 10/9*g**3 = 0.
-3, 0, 1
Let t = 12375 - 12372. Let r(y) be the first derivative of -56/3*y**t - 6 + 3*y**4 + 16*y**2 + 0*y. Factor r(a).
4*a*(a - 4)*(3*a - 2)
Let g(o) = -2*o**3 - 2112*o**2 + 528364*o - 2080816. Let l(m) = -m**3 - 16*m**2 + m - 4. Let t(k) = g(k) - 4*l(k). Let t(i) = 0. Calculate i.
4, 510
Let p = -57 + 60. Suppose p*k = -l - 6, -k + 5 = 5*l - 7. Solve z**3 + 4*z**2 + 0*z**3 + z**3 - 6*z**l = 0.
0, 1
Solve 0 + 1656/5*a + 4/5*a**3 - 564/5*a**2 = 0 for a.
0, 3, 138
Let r be 4/6 - 36*2/108. Factor r*g - 3/2*g**2 + 2 + 1/2*g**3.
(g - 2)**2*(g + 1)/2
Let n(s) be the second derivative of 29/3*s**3 - 1/6*s**4 - 28*s**2 - 33*s + 0. Factor n(v).
-2*(v - 28)*(v - 1)
Let s(z) = z**2 - 3*z - 2. Suppose 9*h = 5*h - 20. Let u(d) = -4*d**2 - 21*d + 334. Let t(w) = h*s(w) - u(w). Factor t(i).
-(i - 18)**2
Let y(t) be the third derivative of 55/3*t**4 - 25/12*t**5 + 1/24*t**6 + 0*t - 70*t**3 + 2 - 180*t**2. Solve y(c) = 0 for c.
2, 21
Suppose -5*j + d + 39 = 0, 203*j - 5*d - 19 = 200*j. Let v = -8 + 19. Find q such that 31 - 40*q**2 - 20 - 14*q**4 + 46*q**3 - v + j*q = 0.
0, 2/7, 1, 2
Suppose -118*l = 242377 - 242731. Let 2/3*w**2 + 8/9*w**l - 2/9*w**4 - 28/9*w + 16/9 = 0. What is w?
-2, 1, 4
Solve 176/5 - 57/5*u**3 - 7/5*u**4 + 12/5*u - 124/5*u**2 = 0.
-4, -22/7, -2, 1
Let m be (-4272)/2848 - ((-9)/15 - 9/10). Let s = 80 + -637/8. Solve 0*f + s*f**4 + 0*f**2 + 3/8*f**3 + m = 0.
-1, 0
Let r = 7793343/7 - 1113183. Factor r*p**2 - 62658/7*p + 1232274/7 - 6/7*p**3.
-6*(p - 59)**3/7
Let a(w) be the third derivative of -w**5/300 - 38*w**4/3 + 11894*w**2. Let a(n) = 0. Calculate n.
-1520, 0
Suppose -180*j + 179*j = -45. What is h in 4*h**5 + 0*h**3 - h**5 - 42*h**4 - j*h**3 = 0?
-1, 0, 15
Let s(n) be the second derivative of 5/4*n**3 + n - 14 + 9/40*n**5 - 9/8*n**2 - 1/40*n**6 - 3/4*n**4. Factor s(g).
-3*(g - 3)*(g - 1)**3/4
Let l(j) = 24*j**3 - 191*j**2 - 938*j - 12. Let g(f) = -5*f**3 + f**2 + f + 4. Let o(i) = 15*g(i) - 5*l(i). Factor o(y).
-5*(y - 8)*(y + 3)*(39*y + 1)
Let m be 4*12/128 + -4 + 3690/400. Solve -8/5*n**2 + 14/5*n + 4/5 + 14/5*n**5 + 4/5*n**4 - m*n**3 = 0.
-1, -2/7, 1
Let x be (22/55)/(2/60). Suppose -x*u - 7 = -31. Factor 0 + 0*j**3 + 9/4*j**4 - 3*j**u + 0*j - 3/4*j**5.
-3*j**2*(j - 2)**2*(j + 1)/4
Determine g so that 0 - 81*g**3 - 5*g**5 + 83/2*g**2 + 79/2*g**4 + 5*g = 0.
-1/10, 0, 1, 2, 5
Let q(d) = 17*d**2 - 8416*d - 5628. Let j(o) = 36*o**2 - 16827*o - 11256. Let v(l) = 4*j(l) - 9*q(l). Suppose v(a) = 0. Calculate a.
-2/3, 938
Let w(n) be the second derivative of 0 - 1/6*n**4 - 24*n + 0*n**2 - 1/3*n**3. Solve w(d) = 0 for d.
-1, 0
Let y = -421 + 385. Let l be ((-15)/y)/(40/24). Factor 0*v + l*v**2 - 1.
(v - 2)*(v + 2)/4
Let g(x) be the third derivative of -x**8/616 - 62*x**7/55 - 47089*x**6/220 + 20*x**2 + 19*x. What is i in g(i) = 0?
-217, 0
Let a = 23958 - 191663/8. Let c(q) be the third derivative of -7/20*q**5 + 0 + 35*q**2 + 3/8*q**4 + 0*q**3 + 0*q + a*q**6 - 1/70*q**7. Let c(k) = 0. What is k?
0, 1, 3
Suppose -3*n + 16 = l - 11, 15 = -3*l + 3*n. Factor -1/2 - 3*p**l + 3*p + 1/2*p**2.
-(p - 1)*(p + 1)*(6*p - 1)/2
Let o(k) = -520*k**2 + 27485*k + 27840. Let a(r) = -19*r**2 + 1018*r + 1031. Let p(d) = 55*a(d) - 2*o(d). Determine m, given that p(m) = 0.
-1, 205
Let u(r) be the first derivative of 24/5*r**5 - 288*r - 74/3*r**3 + 1/6*r**6 + 141/4*r**4 - 48 - 240*r**2. Factor u(s).
(s - 2)*(s + 1)**2*(s + 12)**2
Let o(b) be the first derivative of b**4/5 - 88*b**3/15 - 46*b**2/5 + 7189. Factor o(u).
4*u*(u - 23)*(u + 1)/5
Let d(o) = 4*o**3 - 58*o**2 - 281*o - 293. Let n(s) = -7*s**3 + 85*s**2 + 422*s + 440. Let m(p) = -8*d(p) - 5*n(p). Factor m(a).
3*(a + 2)*(a + 3)*(a + 8)
Let t be ((0 + 0)/3)/(-8 + -15 - -20). Let j(w) be the second derivative of 10*w - 1/3*w**3 + 1/20*w**5 + 1/12*w**4 + 0*w**2 + t. Determine z so that j(z) = 0.
-2, 0, 1
Let r(a) be the third derivative of -a**5/75 - 241*a**4/10 - 2884*a**3/15 - 12*a**2 + 114. Factor r(i).
-4*(i + 2)*(i + 721)/5
Suppose -45*l + 216 = 9*l. Let o be 324/72 + ((-2)/l - 1). What is p in -1/5*p**2 + 0 - 1/5*p**4 + 0*p + 2/5*p**o = 0?
0, 1
Let a(v) be the second derivative of -5/6*v**3 + 2*v - 7/6*v**2 + 3 - 1/4*v**4 - 1/60*v**5. Factor a(w).
-(w + 1)**2*(w + 7)/3
Let c(f) be the second derivative of -11/3*f**3 - 5/9*f**4 - 1/30*f**5 - 12*f**2 - 21*f - 2. Solve c(s) = 0 for s.
-4, -3
Let u = -12987 + 64956/5. Suppose u*y**3 - 3/5*y**5 + 12/5*y**2 + 6/5*y**4 + 0 + 0*y = 0. What is y?
-1, 0, 4
Let g(q) be the first derivative of -3*q**4/4 + 21*q**3 - 27*q**2 - 120*q + 466. Solve g(i) = 0 for i.
-1, 2, 20
Let w = -501 - -727. Let b = w - 226. Determine g, given that -3*g**3 + 0 - 9/2*g**2 + 3/2*g**4 + b*g = 0.
-1, 0, 3
Let h = 76 - 70. Solve -161 + 8*v**3 - 4*v**4 - 5*v - 2*v**5 - v**5 + h*v**2 + 159 = 0.
-2, -1, -1/3, 1
Let c = 200 + -184. Factor i**2 - c*i + 3*i**2 - 17*i - 15*i.
4*i*(i - 12)
Solve -256*u**2 + 3*u**4 + 112*u**2 + 24*u**3 - 1988*u + 1124*u + 6*u**3 = 0 for u.
-12, -4, 0, 6
Suppose 8*u + 1269 = -571. Let j = u + 235. Factor 8/5*l**2 - 4/5*l**4 + 8/5*l**3 - 4/5 - 4/5*l**j - 4/5*l.
-4*(l - 1)**2*(l + 1)**3/5
Let g(r) = -54*r + 113. Let t(m) = -5*m + 2. Let n be t(0). Let f be g(n). Suppose -3 - 6*h**3 + 0*h**4 + 3*h**2 + 9/2*h + 3/2*h**f = 0. Calculate h.
-2, -1, 1
Let u(q) = 4*q**2 + q - 1. Let f(d) = -128*d**2 - 3242*d - 709. Let y(n) = -f(n) - 5*u(n). Factor y(v).
3*(4*v + 119)*(9*v + 2)
Determine b, given that 170368000/7*b**3 - 2/7 - 1161600/7*b**2 + 2640/7*b = 0.
1/440
Let i(n) = 3*n**2 - 30*n - 103. Let b(r) = -50 + 15*r**2 - 26*r**2 - 15*r + 12*r**2. Let w(k) = 10*b(k) - 4*i(k). What is d in w(d) = 0?
-11, -4
Let b(n) be the second derivative of n**6/180 - n**4/18 - 296*n - 1. Let b(o) = 0. Calculate o.
-2, 0, 2
Let x(j) be the third derivative of -j**6/240 + 82*j**5/15 + 219*j**4/16 - 6*j**2 + 3*j - 19. Factor x(z).
-z*(z - 657)*(z + 1)/2
Let s(u) be the third derivative of 1/14*u**5 + 0*u - 69*u**2 - 1/7*u**3 + 0 + 1/60*u**6 - 19/84*u**4. Factor s(a).
2*(a - 1)*(a + 3)*(7*a + 1)/7
Let k = -4901 + 4903. Let h(d) be the first derivative of -1/4*d**4 + 14 - 1/3*d**3 + 1/2*d**k +