 -17 - 8*q**2 + 8*q - 14 + 4*q**p + 27 = 0?
1
Suppose 42*f = 37*f + 70. Let k be ((-45)/10)/((-21)/f). Determine w, given that 17/8*w**4 + 13/8*w**2 + 1/2*w**5 + 1/4*w + 0 + k*w**3 = 0.
-2, -1, -1/4, 0
Let a(p) be the second derivative of p**4/36 - 35*p**3/6 + 250*p**2/3 - 2918*p. Factor a(y).
(y - 100)*(y - 5)/3
Suppose -228*q + 381 + 75 = 0. Factor 2/9*x**q + 800/9 - 80/9*x.
2*(x - 20)**2/9
Let t be -13 - ((-261)/27)/(4/6). Suppose -63*o + 1323/2 + t*o**2 = 0. What is o?
21
Let k(z) be the first derivative of z**7/5040 - z**6/1080 - z**5/144 + z**4/24 + z**3 + 5*z - 254. Let q(t) be the third derivative of k(t). Factor q(r).
(r - 3)*(r - 1)*(r + 2)/6
Determine n so that -338724*n**3 + 3071 - 358631*n**2 + 3075 - 6162 + 4640*n + 24563*n**2 = 0.
-1, 2/291
Let a(h) be the first derivative of -15/4*h**2 - 5/6*h**4 - 95/24*h**3 + 6*h - 14 + 5/16*h**5. Let k(j) be the first derivative of a(j). Factor k(f).
5*(f - 3)*(f + 1)*(5*f + 2)/4
Let b(l) be the first derivative of 2*l**7/21 + 9*l**6/40 - 2*l**5/5 + l**4/6 + 35*l**2/2 - 16. Let c(o) be the second derivative of b(o). Factor c(i).
i*(i + 2)*(4*i - 1)*(5*i - 2)
Let z(o) be the second derivative of -1/42*o**4 + 0 + 15/7*o**2 + 2/21*o**3 - 72*o. Factor z(r).
-2*(r - 5)*(r + 3)/7
Suppose 48 - 42 = -6*q. Let j be q*(2 - (8 - 4)). Let 120*y - 720*y**2 - 1 + j - 10 + 4 = 0. What is y?
1/12
Let a(o) = -5*o - 2. Let f(j) = j**2 - 1030*j + 245009. Let p(w) = 40*a(w) - 5*f(w). Factor p(y).
-5*(y - 495)**2
Let t be ((-32)/784)/(((-1)/(-28))/((-11)/22)). Let -144/7*b**2 - t - 48/7*b = 0. What is b?
-1/6
Let u = -160 - -164. Suppose -19*f + 23 = d - 14*f, -4*f = -u*d - 4. Determine g, given that 0*g**2 - 1/6*g**d + 0*g + 0 = 0.
0
Let c(h) = -h**3 + 15*h**2 + 159*h - 85. Let d be c(22). Let b(n) be the first derivative of d + 12*n + 3*n**2 + 1/4*n**3. Determine g so that b(g) = 0.
-4
Let l(m) = 2*m**2 - 4*m - 50. Let y be l(-5). Let -24*j**3 + 44*j**2 + 73*j**3 + 4*j**4 - 21*j**3 + y*j = 0. What is j?
-5, -1, 0
Let u = 1257 + -1639. Let s = -1909/5 - u. Factor -s*a**2 + a - 6/5.
-(a - 3)*(a - 2)/5
Suppose -1512*y - 6 = -1515*y. Suppose 76*h - 75*h + 6 = y*o, 4*h = 4*o - 16. Suppose 1/4*z**o + 1/8*z + 0 + 1/8*z**3 = 0. Calculate z.
-1, 0
Let l be (-8 - -4) + -5*(-1 - 1). Suppose -4*f - l*f + 5*f**2 + 1806*f**3 - 1801*f**3 = 0. Calculate f.
-2, 0, 1
Let r(h) = -h**3 - 236*h**2 - 966*h - 738. Let n(j) = j**3 + 314*j**2 + 1288*j + 984. Let k(p) = -7*n(p) - 9*r(p). Solve k(q) = 0 for q.
-3, -1, 41
Let n be (-2)/(-9) - 172438/(-981). Let o be (2 + (-344)/n)*4. Determine f, given that 0 - o*f**4 + 2/11*f**2 - 6/11*f + 6/11*f**3 = 0.
-1, 0, 1, 3
Suppose -3*s - 1 = -0*z + 2*z, 3*s - z = -13. Let q be 8*(-12)/32*2/s. Factor -3 + q + 0*g + 2*g**3 + g**4 - 2*g.
(g - 1)*(g + 1)**3
Let q(h) be the third derivative of 0*h - 9*h**2 + 17/36*h**4 - 289/18*h**3 + 0 - 1/180*h**5. Find y, given that q(y) = 0.
17
Suppose y - 80 = -55*y + 88. Factor -8/7*h**2 - 2/7*h**y + 0 - 8/7*h.
-2*h*(h + 2)**2/7
Suppose 3*c = -240 + 252. Let 31*a**3 - 29*a**3 - 2*a + 0*a**2 - 4*a**2 + c = 0. Calculate a.
-1, 1, 2
Let u(g) be the first derivative of -11*g**5 + 925*g**4/4 - 145*g**3 - 33385*g**2/2 - 6050*g - 3623. Solve u(j) = 0 for j.
-5, -2/11, 11
Factor 0 + 2/7*s**3 - 30/7*s**2 + 4*s.
2*s*(s - 14)*(s - 1)/7
Let j(g) be the second derivative of 0 + 5/12*g**4 - 3/20*g**5 + 1/2*g**3 - 2*g**2 - 1/30*g**6 + 104*g. Find l such that j(l) = 0.
-4, -1, 1
Let b = 7053 + -1304802/185. Let a = 8/37 - b. Solve -1/5*k**4 + 2/5*k**3 + 2/5*k**2 - a*k - 1/5 - 1/5*k**5 = 0.
-1, 1
Suppose -9*t + 12*t + 10*t = 0. Suppose 4*j - 2*o = 52 - 54, 4*o - 20 = t. What is b in -3/2*b**j - 2 + 13/2*b = 0?
1/3, 4
Factor t**3 + 0*t**3 + t**3 - t**4 + 1 + 552*t - 274*t - 280*t.
-(t - 1)**3*(t + 1)
Let a = -94467/8 + 283417/24. Factor 6/5*u - 4/15 + a*u**2.
2*(u + 2)*(5*u - 1)/15
Let b(m) be the first derivative of -3/4*m**4 - 22*m**3 - 363/2*m**2 + 0*m - 287. Factor b(j).
-3*j*(j + 11)**2
Let j(i) = -3390*i - 183057. Let f be j(-54). Let 1/10*c**f + 735/2*c - 8575/2 - 21/2*c**2 = 0. Calculate c.
35
Let y(g) = g**3 - 13*g - 7. Let v be y(-3). Factor 4*d**v - 13*d**3 + 10*d**3 - d**3.
4*d**3*(d - 1)*(d + 1)
Let v = 4158907/8 + -519863. What is f in v*f**4 + 3/8*f**2 + 0 + 0*f + 3/4*f**3 = 0?
-1, 0
Let z(c) be the first derivative of -c**6/9 + 44*c**5/15 - 58*c**4/3 + 340*c**3/9 - 25*c**2 + 1173. Suppose z(r) = 0. Calculate r.
0, 1, 5, 15
Let h = -163 - -1307/8. Let t be (-6)/(-144) + 1/3. Determine i, given that 0*i - 1/8*i**2 - t*i**4 + h*i**3 + 1/8*i**5 + 0 = 0.
0, 1
Determine a, given that 3*a**3 - 94*a - 327*a**2 - 5 - 236*a + 5 = 0.
-1, 0, 110
Let p(i) be the first derivative of -i**5/10 - 207*i**4/4 - 206*i**3 - 617*i**2/2 - 411*i/2 + 4566. Factor p(j).
-(j + 1)**3*(j + 411)/2
Suppose -162*l - 2*l = 0. Factor l + 0*v - 1/10*v**2.
-v**2/10
Let d(a) be the first derivative of 4*a**3/5 - 13*a**2/5 + 4*a/5 - 2096. Solve d(m) = 0 for m.
1/6, 2
Let q(c) be the first derivative of c**4/32 + 301*c**3/24 + 371*c**2/4 + 148*c - 4241. What is x in q(x) = 0?
-296, -4, -1
Let s(n) be the first derivative of 2*n**3/27 - 2306*n**2/9 + 2658818*n/9 + 3022. Let s(d) = 0. Calculate d.
1153
Let t be (-5 + (12/16 - -5))/(120/576). Factor 0 - t*g - 11/5*g**2 - 1/5*g**3.
-g*(g + 2)*(g + 9)/5
Determine d, given that 5*d**3 - 217547 - 5*d + 218652 - 687*d**2 + 500*d**2 - 918*d**2 = 0.
-1, 1, 221
Let v(p) be the third derivative of p**6/300 + 2*p**5/25 + 17*p**4/60 - 2*p**3 - 3*p**2 - 53*p - 11. Suppose v(g) = 0. Calculate g.
-10, -3, 1
Suppose -12*p + 10*p - 98 = -3*j, -j = -p - 34. Let l be 0 - (1/3)/(j/(-216)). Factor l*w**3 + 18/5*w - 27/5*w**2 - 3/5.
3*(w - 1)**2*(4*w - 1)/5
Let q = 150211/30 - 5007. Let j(w) be the second derivative of 16/3*w**2 - 7/18*w**4 + q*w**5 + 0 + 8/9*w**3 + 20*w. Factor j(m).
2*(m - 4)**2*(m + 1)/3
Let c be (-3 + (-2 - -12) - 75/(-30))/1. Let i(n) be the first derivative of -21*n**2 + 6/5*n**5 + 22*n**3 - c*n**4 - 23 + 8*n. Factor i(k).
2*(k - 4)*(k - 1)**2*(3*k - 1)
Let g be ((-21 + 21)/11)/((-1)/(-1)). Factor g + 0*s - 35*s**4 - 26*s**3 - 4*s**2 + 49/2*s**5.
s**2*(s - 2)*(7*s + 2)**2/2
Let h(i) be the third derivative of -1 + 0*i - 136*i**2 - 1/120*i**6 + i**3 + 7/120*i**5 + 5/12*i**4 - 1/420*i**7. Determine a, given that h(a) = 0.
-2, -1, 3
Suppose 0 = 656*t - 682*t + 208. Let o(m) be the first derivative of 0*m + 1/15*m**3 + t - 1/60*m**6 + 0*m**5 + 3/40*m**4 + 0*m**2. Factor o(w).
-w**2*(w - 2)*(w + 1)**2/10
Suppose 2*i = -6, 0*i - 2*i - 39 = -3*v. Let x = -8 + v. Let -23*d**3 - 12*d**2 + 19*d**3 - 12*d**x + 4*d = 0. Calculate d.
-1, 0, 1/4
Let c(n) be the second derivative of 1 + 99/2*n**2 - 7*n**3 - 98*n + 1/4*n**4. Factor c(m).
3*(m - 11)*(m - 3)
Determine s so that 4800 + 1852*s**2 - 136*s**4 + 7665*s - 5748*s**3 + 4275*s + 33440*s**2 - 725*s**4 - 24*s**5 - 54660*s = 0.
-20, 1/8, 2
Let w(a) be the second derivative of -18*a**2 - 1/12*a**4 - 153*a - 13/6*a**3 + 0. Suppose w(b) = 0. Calculate b.
-9, -4
Let z(x) be the third derivative of x**6/30 - 22*x**5/15 + 20*x**4/3 - 1664*x**2. Solve z(g) = 0.
0, 2, 20
Factor -18/17*n**2 - 96/17 + 436/17*n.
-2*(n - 24)*(9*n - 2)/17
Let p(c) be the second derivative of 5/4*c**2 - 4 - 1/3*c**3 - 6*c - 1/24*c**4. Determine l, given that p(l) = 0.
-5, 1
Suppose 0 = 2*w - 14*w + 228. Factor -g + 16*g**2 + 13 + 4*g - w*g**2 + 23.
-3*(g - 4)*(g + 3)
Let -15/2*w**4 + 0 - 57/4*w**3 + 0*w - 7*w**2 - 1/4*w**5 = 0. What is w?
-28, -1, 0
Suppose 2*m + 14*m = -3280. Let h be 2/(-10) + (-164)/m. Suppose 9/5*s**3 - 27/5*s**2 + h*s**4 + 0 + 3*s = 0. Calculate s.
-5, 0, 1
Let a(q) = 2*q**2 + 24*q - 103. Let s(z) = 3*z**2 - 2*z + 2. Let j(t) = -a(t) + s(t). Determine h so that j(h) = 0.
5, 21
Let h = -250 + 252. Solve -3*c - 3*c**5 - 11*c**2 + 6 - 338*c**3 + 344*c**3 - c**h + 6*c**4 = 0.
-1, 1, 2
Let d(x) = -3*x**3 + x**2 - x. Let n(b) = -16*b**3 + 4*b**2 + 24*b - 6. Let u(q) = -5*d(q) + n(q). Let m be u(-6). Solve m - 3/2*v + 3/2*v**2 = 0.
0, 1
Let j(t) be the second derivative of -8*t**4/3 - 2*t**3 + 10*t**2 - 2*t - 48. Factor j(l).
-4*(l + 1)*(8*l - 5)
Let u(f) = 52*f - 120. Let r be u(5). Factor -7 - 65 - 180*i + 60 - 68 - 45*i**3 - r*i**2 - 5*i**4.
-5*(i + 1)*(i + 2)**2*(i + 4)
Let s = 15/12713 - -915231/88991. Determine z, giv