x + 2. Let j be k(-7). Suppose 240*w + 42*w**j + 7200 - 50*w**2 + 10*w**2 = 0. What is w?
-60
Let z(p) be the first derivative of 4*p**3/3 + 5976*p**2 + 8928144*p + 5528. Factor z(l).
4*(l + 1494)**2
Let t(z) be the second derivative of -7*z**6/6 - 38*z**5 + 3755*z**4/12 - 1870*z**3/3 + 390*z**2 - 4202*z. Let t(p) = 0. Calculate p.
-26, 2/7, 1, 3
Factor -51 - 9/4*p**2 - 1/4*p**3 + 31*p.
-(p - 6)*(p - 2)*(p + 17)/4
Let t(a) be the second derivative of -a**5/4 + 9*a**4 + 53*a**3/2 + 23*a**2 + 1802*a. Factor t(j).
-(j - 23)*(j + 1)*(5*j + 2)
Let z(s) be the second derivative of 8*s**2 + 3/2*s**4 + 12 + 1/20*s**5 + 2*s + 11/2*s**3. What is q in z(q) = 0?
-16, -1
Let x = -40048/5811 + -14/447. Let k = x + 283/39. What is j in -4/3*j + 1 + k*j**2 = 0?
1, 3
Let u be (7 - 2512/336)*((-432)/70 + 27/(-63)). Determine q, given that -1/7*q**3 - u*q**2 - 3*q + 0 = 0.
-21, -1, 0
Let -65*b**2 - 156*b + 24*b**4 - 3*b**5 - 27*b**2 + 13*b**4 - b**4 - 52*b**2 + 51*b**3 = 0. Calculate b.
-2, -1, 0, 2, 13
Suppose -3*y + 10 + 2 = 4*c, 2*y + 3*c = 9. Let f be (-8)/(-2) + 4 - y. Let -24*z - f - 204*z**2 + 189*z**2 - 4 - 3*z**3 = 0. Calculate z.
-2, -1
Let t(g) be the first derivative of g**4/8 + g**3/6 - 5*g**2/2 + 4*g - 145. Determine s, given that t(s) = 0.
-4, 1, 2
Let v(z) be the second derivative of -z**7/42 - 7*z**6/15 - 3*z**5 - 6*z**4 - 4*z - 125. Factor v(x).
-x**2*(x + 2)*(x + 6)**2
Let w(z) be the first derivative of 32/5*z + 112/15*z**3 + 1/15*z**6 + 48/5*z**2 + 2 + 16/5*z**4 + 18/25*z**5. Let w(b) = 0. What is b?
-2, -1
Suppose -4*i - 52 = 5*l, -5*i - 828*l - 50 = -823*l. Factor 1/7*k**i + 2/7*k + 1/7.
(k + 1)**2/7
Suppose 6*r = 50 - 38. Suppose -8 = -3*v + v. Solve -2 + r - v*i**4 + 47*i**5 - 4*i**3 - 48*i**5 = 0.
-2, 0
Let b = 59 + -56. Factor -b*r + 2*r - 10*r - 2*r**2 - r.
-2*r*(r + 6)
Let t(c) be the first derivative of -5*c**4/4 + 55*c**3/3 - 50*c**2 - 160*c - 196. Suppose t(x) = 0. What is x?
-1, 4, 8
Let q be 1/(-2)*-6*16/(-6). Let f be (-1 - -1)/(q + (5 - -1)). What is n in 5 + 9*n**3 + 0*n**3 - 5*n + f*n**2 - 4*n**3 - 5*n**2 = 0?
-1, 1
Let p(k) be the second derivative of k**4/16 + 39*k**3/8 + 81*k**2/2 + 4323*k. Determine d so that p(d) = 0.
-36, -3
Let c = 275941 + -827623/3. Factor 0 + 224/3*v**2 + 250/3*v**5 - 32/3*v + c*v**4 - 160*v**3.
2*v*(v + 2)*(5*v - 2)**3/3
Let n = -6380207/6 - -1063368. Factor 1/3*t + 1/6*t**4 + 0 - 1/3*t**3 - n*t**2.
t*(t - 2)*(t - 1)*(t + 1)/6
Let v(f) = 4*f**5 + 34*f**4 - 214*f**3 + 218*f**2 + 12*f + 18. Let g(h) = -h**4 - h**3 - h**2 + 2*h + 3. Let u(d) = 6*g(d) - v(d). Factor u(x).
-4*x**2*(x - 2)**2*(x + 14)
Let a(s) be the first derivative of 4*s**5/15 - 3*s**4/2 - 38*s**3/3 + 169*s**2/3 - 70*s + 12225. Suppose a(p) = 0. What is p?
-5, 1, 3/2, 7
Let f(z) be the third derivative of -1/840*z**7 - 1/240*z**5 - 4*z + 1/12*z**3 - 1/160*z**6 + 1/32*z**4 + 0 - 5*z**2. Factor f(m).
-(m - 1)*(m + 1)**2*(m + 2)/4
Suppose 5*a = 5*n - 155, 2*n + 37*a = 41*a + 92. Suppose 32/3*s + 4/3*s**2 + n = 0. What is s?
-6, -2
Let s(a) be the third derivative of 0*a**3 - 1/1176*a**8 + 62*a**2 - 1/245*a**7 + 0*a**4 + 0 + 0*a + 3/140*a**6 - 1/42*a**5. Determine y, given that s(y) = 0.
-5, 0, 1
Factor 51 + 3/2*q**3 - 1/6*q**4 + 113/2*q + 115/6*q**2.
-(q - 17)*(q + 2)*(q + 3)**2/6
Let s be ((-16)/(-120) - 914/105)*(22 + 2938/(-130)). Factor -40/7*m**2 - s - 6/7*m**3 - 78/7*m.
-2*(m + 3)**2*(3*m + 2)/7
Let g(v) = 162*v**2 + 4224*v + 1269. Let b(y) = 69*y**2 + 1809*y + 544. Let a(o) = 33*b(o) - 14*g(o). Factor a(p).
3*(p + 62)*(3*p + 1)
Let f be (28/(-21))/((-1328)/9462). Solve -7 - 2*i**2 + f*i - 1/2*i**3 = 0 for i.
-7, 1, 2
Let t(v) be the first derivative of 3*v**4/8 + 5*v**3/2 - 18*v**2 + 11239. Factor t(r).
3*r*(r - 3)*(r + 8)/2
Let t(m) be the second derivative of 9*m**5/20 + 16*m**4 + 19*m**3/2 - 63*m**2 - 58*m + 17. Factor t(i).
3*(i + 1)*(i + 21)*(3*i - 2)
Solve -114/5*c**2 + 0 - 36/5*c - 22/5*c**4 - 20*c**3 = 0.
-3, -1, -6/11, 0
Let b(d) be the first derivative of -12/5*d - 14/5*d**3 - 9/10*d**4 - 19/5*d**2 - 2/25*d**5 + 5. Factor b(l).
-2*(l + 1)**3*(l + 6)/5
Let s = -61231248/445 - -687936/5. Let l = 8/89 - s. Determine k, given that -16/5*k - 14/5*k**5 + 0 + 12/5*k**3 - 38/5*k**4 + l*k**2 = 0.
-2, 0, 2/7, 1
Let v(f) be the third derivative of f**4 + 0*f**3 + 1/20*f**6 + 18*f**2 + 3/70*f**7 - 1/112*f**8 + 0*f + 0 - 3/5*f**5. Determine x, given that v(x) = 0.
-2, 0, 1, 2
Let x = -40 + 42. Find m such that -45*m**4 - 14*m**x + 27*m**3 + 37*m**4 + 2*m**2 - 2*m**5 - 5*m**3 = 0.
-6, 0, 1
Let r(x) = -x**3 + 24*x**2 - 45*x + 31. Let t be r(22). Determine c, given that -56*c**2 - 12*c + 3*c**3 + 154*c**2 - 74*c**2 + t*c**5 - 24*c**4 = 0.
-1, 0, 2/3, 1, 2
Let z = 225629/102695 - -60/20539. Suppose t**2 + 6/5 - z*t = 0. What is t?
1, 6/5
Suppose -q + 4*j = 260 + 750, -2*j = -4*q - 4054. Let h = q + 1016. Find n such that 1/7*n**h - 4/7 + 0*n = 0.
-2, 2
Let k(v) be the third derivative of v**6/540 + 8*v**5/135 - 55*v**4/108 + 38*v**3/27 + 9*v**2 - 8. Solve k(o) = 0 for o.
-19, 1, 2
Suppose 3*g - 75 = -5*b, 6*g = -5*b + 11*g + 115. Suppose -16 + 52 = b*l. Factor 7/5*t + 1/5*t**l + 2.
(t + 2)*(t + 5)/5
Solve -15076496 + 15076046 - 3*z**2 + 67*z + 8*z = 0.
10, 15
Let l(d) be the third derivative of -17*d**2 - 289/1008*d**8 + 0*d**4 + 3 - 2/45*d**5 - 17/21*d**7 + 0*d + 11/30*d**6 + 0*d**3. Let l(a) = 0. Calculate a.
-2, 0, 2/17
Let w(f) = 9*f**3 + 70*f**2 + 8561*f - 171. Let h(t) = 2*t**3 + 14*t**2 + 1712*t - 36. Let c(k) = 19*h(k) - 4*w(k). Determine i, given that c(i) = 0.
-26, 0, 33
Let g(n) be the second derivative of n**6/180 + 7*n**5/20 - 11*n**4/6 + 35*n**3/3 + 20*n. Let v(w) be the second derivative of g(w). Factor v(q).
2*(q - 1)*(q + 22)
Let s be -5 - (-45 + 0 + -3). Let -w**4 + 7*w - 40*w**2 - 7*w**3 - s*w**2 - 8 + 92*w**2 = 0. What is w?
-8, -1, 1
Let v = 8551 - 8549. Let m(a) be the first derivative of -1/15*a**3 - 49/5*a + 25 - 7/5*a**v. Factor m(i).
-(i + 7)**2/5
Let o = -1834/199 + 14430/1393. Suppose -552/7*y + 9522/7*y**2 + o = 0. Calculate y.
2/69
Let x(s) = -2*s**2 - 21*s - 51. Let o be x(-6). Let d be 1 - 1/o - 0/36. Factor 0*z + d*z**2 + 0 + 1/3*z**3.
z**2*(z + 2)/3
Suppose -l = 4*l + o - 165, 33 = l - 2*o. Let s be (3 + l/(-12))*(-16)/(-2). Find b such that -b + 6 - b**2 - 9*b + 5*b + 0*b**s = 0.
-6, 1
Let f be (6 - (-75)/(-10))*4 + 22. Suppose -4*s = -12*s + f. Find z, given that 1/8*z**s - 1/2*z + 0 = 0.
0, 4
Let k(r) be the second derivative of r**6/165 + 16*r**5/55 - 139*r**4/66 + 178*r**3/33 - 72*r**2/11 - 2247*r + 1. Suppose k(a) = 0. What is a?
-36, 1, 2
Let s(a) be the third derivative of 1/360*a**6 + 3*a**2 + 0 + 2/3*a**3 + 3*a + 5/72*a**4 - 1/30*a**5. Factor s(u).
(u - 4)*(u - 3)*(u + 1)/3
Let k(l) be the first derivative of -2*l**5/5 - 6*l**4 + 190*l**3 - 964*l**2 + 1800*l - 6874. Determine r so that k(r) = 0.
-25, 2, 9
Let r(y) be the third derivative of 0 - 25/12*y**4 - y - y**5 - 7/80*y**6 - 1/420*y**7 - 7*y**2 + 0*y**3. What is j in r(j) = 0?
-10, -1, 0
Suppose 90*l - 63*l - 50*l + 529 = 0. Let y(h) be the second derivative of h**3 + 4*h**2 + 1/12*h**4 - l*h + 0. Factor y(z).
(z + 2)*(z + 4)
Let n(s) be the second derivative of -4096*s**7/21 + 768*s**6 - 696*s**5 - 1585*s**4/6 - 35*s**3 - 9*s**2/4 + 2206*s. Factor n(m).
-(2*m - 3)**2*(16*m + 1)**3/2
Let j(h) = 3*h**3 + 12*h**2 - 4*h - 12. Let a be j(9). Find x, given that 11*x**4 + a*x - 1134*x**2 - 295*x**3 - 1106*x**2 - 578 + 11*x**2 - 20*x**4 = 0.
-17, 2/9, 1
Let l(r) = -7*r**2 - 1380*r + 95220. Let t(d) = 65*d**2 + 12420*d - 856980. Let k(o) = -55*l(o) - 6*t(o). Factor k(u).
-5*(u - 138)**2
Suppose -668*g + 2 = -667*g. Find r such that 64 + 9*r - 67*r + g*r**2 - 64 = 0.
0, 29
Suppose i**2 - 297/2*i - 1377/2 = 0. What is i?
-9/2, 153
Factor -16 - 9*z - 10*z + 10*z - z - 2*z - 2*z**2.
-2*(z + 2)*(z + 4)
Suppose -1829925*q**3 + 1829820*q**3 - 163*q**2 - 2460*q - 5*q**4 - 2520 - 627*q**2 = 0. What is q?
-7, -6, -2
Suppose -111 + 5*i**2 + 20*i - 136 + 87 = 0. Calculate i.
-8, 4
Suppose 1446*j + 36 = 1464*j. Let g(q) be the first derivative of 0*q**j + 5/4*q**4 + 0*q + 18 + 10/3*q**3. Factor g(z).
5*z**2*(z + 2)
Let n be 378/4410*250/15. Factor -16/7*y - n*y**2 + 8/7.
-2*(y + 2)*(5*y - 2)/7
Let a(z) be the second derivative of 9*z + 2 - 296/3*z**3 + 5