2 - (-3 + 6). Let 32*y**4 + y**5 + 10*y**3 - 11*y**3 + 4*y**2 + 9*y**5 + v*y**3 = 0. Calculate y.
-2, -1, -1/5, 0
Let u = -63049/43 + 1466. Let l = u - -98/215. Factor 4/5*o**2 + 4/5*o + 0 - l*o**4 - 1/5*o**3.
-o*(o - 2)*(o + 1)*(o + 2)/5
Suppose -3*p + 2*c + 10 + 19 = 0, 0 = -p + 2*c + 7. Suppose 2 = -10*m + p*m. Let -3*j**4 + 6*j**4 + 35*j**2 - 15*j - 25*j**3 + m*j**4 = 0. What is j?
0, 1, 3
Let h(k) = -37*k**3 + 979*k**2 - 773*k - 1656. Let i(w) = -4*w**3 + 108*w**2 - 86*w - 184. Let r(y) = 2*h(y) - 19*i(y). Determine j so that r(j) = 0.
-1, 2, 46
Determine b, given that -23/7*b**2 + 11/7*b**4 - 40/7*b + 0 + 52/7*b**3 = 0.
-5, -8/11, 0, 1
Let j be 54775/(-7840) - (-1 + -6). Let i = j + 439/672. Let 0 - w - i*w**2 + 1/3*w**3 = 0. Calculate w.
-1, 0, 3
Let q(f) = 2*f**2 + 15*f + 13. Let l be q(-7). Let u be 15/l*((4 - 0) + -2). Factor -u*h - 2*h**2 + h + 6*h**2.
4*h*(h - 1)
Let j(c) be the first derivative of 3*c**4/16 + 33*c**3/2 + 573*c**2/8 + 189*c/2 - 1198. Factor j(b).
3*(b + 1)*(b + 2)*(b + 63)/4
Let k be (-112408)/(-72) - (2 - (-48)/(-27)). Suppose -1553*f = -k*f + 16. Factor 14/5*g - 2/5*g**f - 12/5.
-2*(g - 6)*(g - 1)/5
Factor -95551*i**2 + 94896*i**2 + 660*i**3 - 4*i**4 - i**4.
-5*i**2*(i - 131)*(i - 1)
Let b(a) be the third derivative of 2*a**2 + 0*a + 1/280*a**6 - 1/70*a**5 - 5/7*a**3 - 31 - 13/56*a**4. Find q, given that b(q) = 0.
-2, -1, 5
Let u(j) be the third derivative of 5*j**2 + 0 + j - 3/88*j**4 + 7/33*j**3 + 1/660*j**5. Factor u(s).
(s - 7)*(s - 2)/11
Find r such that -4*r**5 - 561*r**4 - 170*r**2 + 28*r**3 + 36*r**2 - 2*r**2 + 288 + 1146*r**4 - 48*r - 569*r**4 = 0.
-2, 2, 3
Let u(c) be the first derivative of -c**3/7 + 7440*c**2/7 - 18451200*c/7 - 2222. Factor u(n).
-3*(n - 2480)**2/7
Factor -2/11*m**2 + 5716/11*m - 4084082/11.
-2*(m - 1429)**2/11
Factor 0 + 64/3*a**4 - 1/6*a**5 + 0*a - 2048/3*a**3 + 0*a**2.
-a**3*(a - 64)**2/6
Let g(f) = 5*f + 83. Let w be g(-20). Let v = 19 + w. What is u in 18/11*u**2 + 0 + 4/11*u - v*u**3 = 0?
-2/11, 0, 1
Let i(w) be the first derivative of -w**6/600 - 71*w**5/300 - 259*w**4/24 - 245*w**3/6 + 83*w**2/2 - 68. Let c(a) be the second derivative of i(a). Factor c(n).
-(n + 1)*(n + 35)**2/5
Suppose 90/7*r**3 - 268/7*r**2 + 4/7 + 174/7*r = 0. Calculate r.
-1/45, 1, 2
Find t, given that 2/5*t**3 + 0 - 196/5*t + 391/5*t**2 = 0.
-196, 0, 1/2
Let l(t) be the second derivative of t**6/150 - 3*t**5/50 - 3*t**4/5 - 4*t**3/3 - 74*t + 5. Factor l(m).
m*(m - 10)*(m + 2)**2/5
Suppose -20 = -8*h - 4. What is a in -7*a - 25*a + h*a**2 + 76*a = 0?
-22, 0
Let z be (-4 - (-1784)/48)*-2. Let s = -793/12 - z. Suppose -1/4*q**2 + 1/2*q - s = 0. Calculate q.
1
Let -8/7*j**4 - 194/7*j**3 + 2*j**5 + 720/7 + 744/7*j - 52/7*j**2 = 0. What is j?
-2, -10/7, 3
Suppose 0 = 2*n - 3*f - 9, 3*f = 4*n - 273 + 252. Let s(t) be the second derivative of -t**5 + 0*t**2 + 0*t**3 + 1/3*t**4 + 32*t + 0 + 8/15*t**n. Factor s(w).
4*w**2*(w - 1)*(4*w - 1)
Let c(p) be the third derivative of p**5/60 + 19*p**4/24 - p**2 - 850. Factor c(b).
b*(b + 19)
Let k be (-1919)/(-10) - (-15)/150. Factor k + 19*c - 69*c + 2*c + 3*c**2.
3*(c - 8)**2
Suppose 4*z + 4*r - 121 - 15 = 0, 5*z - 172 = -4*r. Suppose 32*h - z*h + 8 = 0. Determine b so that 2 + 4*b + b**2 + 14*b**h - 13*b**2 = 0.
-1
Let x(q) = q**2 - 7*q + 2. Let f(i) = 5*i**2 + 1510*i + 1545. Let v(m) = -f(m) + 4*x(m). Factor v(c).
-(c + 1)*(c + 1537)
Let b(y) be the third derivative of y**6/120 + 71*y**5/15 + 559*y**4/8 + 417*y**3 - 57*y**2 - y. Let b(i) = 0. What is i?
-278, -3
What is b in 46*b + 12 + 228*b**3 - 10*b**2 - 448*b**3 + 212*b**3 = 0?
-3, -1/4, 2
Let f = 1001721/2 + -500841. Solve f*g - 3/4*g**2 + 81/4 = 0 for g.
-1, 27
Let p = 3594/13069 + 20/1867. Factor 0*x - 1/7*x**3 - p*x**2 + 0.
-x**2*(x + 2)/7
Let y(c) be the first derivative of -c**5/4 + 10*c**4/3 - 40*c**3/3 + 7*c + 44. Let d(n) be the first derivative of y(n). Factor d(k).
-5*k*(k - 4)**2
Let g(i) = -16*i**2 + 1636*i + 334589. Let k(u) = -7*u**2 + 818*u + 167293. Let j(m) = 4*g(m) - 9*k(m). Factor j(q).
-(q + 409)**2
Let 0 + 1/5*p**2 - 1/5*p**4 + 53/5*p - 53/5*p**3 = 0. Calculate p.
-53, -1, 0, 1
Let f(s) be the first derivative of s**4/2 + 20*s**3 + 99*s**2 - 260*s - 7070. Solve f(g) = 0.
-26, -5, 1
Let a(d) be the second derivative of -3/20*d**4 + 23 + 0*d**2 + 0*d**5 + 1/50*d**6 - 1/5*d**3 + d. Factor a(t).
3*t*(t - 2)*(t + 1)**2/5
Let r(m) = 7*m**3 - 15*m**2 - 159*m + 695. Let w(f) = -69*f**3 + 150*f**2 + 1587*f - 6960. Let x(g) = -39*r(g) - 4*w(g). Find p such that x(p) = 0.
-7, 5, 7
Let y(b) be the first derivative of -b**3/12 + 237*b**2/4 - 56169*b/4 - 1676. Factor y(i).
-(i - 237)**2/4
Let m be (-1)/7 + 90/42. Suppose g + 20 = 5*r, 2 = -5*r + 2*g + 27. Determine x so that m*x - 2*x**3 + 5*x**2 - 13*x**2 - 1 - r - 12*x = 0.
-2, -1
Let i(x) be the second derivative of -x**6/480 + x**5/80 + x**4/4 - 5*x**3/6 - 4*x**2 - 3*x + 7. Let f(b) be the second derivative of i(b). Factor f(o).
-3*(o - 4)*(o + 2)/4
Suppose 208*x - 56 + 3*x**2 - 106*x - 116*x - 4 - x**2 = 0. What is x?
-3, 10
Suppose -432 = -m - 15*m. Factor 77 - m - 152*u + 15*u**3 + 17*u - 50*u**2.
5*(u - 5)*(u + 2)*(3*u - 1)
Let t(l) = -l**3 - 63*l**2 + 492*l + 144. Let o be t(-70). Determine h so that 314/5*h**3 - 428/5*h**2 - 86/5*h**o + 8/5*h**5 + 64/5 + 128/5*h = 0.
-1/4, 1, 2, 4
Let b(q) be the third derivative of 3/100*q**6 - 1/3*q**3 + 0 + 0*q + 1/150*q**5 + 61*q**2 - 3/20*q**4 + 4/525*q**7. Let b(c) = 0. What is c?
-5/4, -1, 1
Suppose -336/5*w**2 + 0 - 3528/5*w + 84/5*w**4 + 874/5*w**3 + 2/5*w**5 = 0. What is w?
-21, -2, 0, 2
Suppose 60 + 663*v + 33 - 303*v - 270*v - 3*v**2 = 0. Calculate v.
-1, 31
Let b = 695310 + -695308. Find v, given that 8/3*v**b + 2/3*v**5 + 10/3*v**4 + 0 + 16/3*v**3 + 0*v = 0.
-2, -1, 0
Let u(w) be the second derivative of 3*w**7/7 + 7*w**6/15 - 13*w**5/2 + 5*w**4/6 + 56*w**3/3 - 12*w**2 - 1463*w. Find x such that u(x) = 0.
-3, -1, 2/9, 1, 2
Suppose 3*a = -5*d - 1141, -4*a - 1096 = -a - 4*d. Let l = a - -376. Suppose -12/5*x**2 - 8/5*x - 8/5*x**3 - 2/5 - 2/5*x**l = 0. What is x?
-1
Let t(i) be the second derivative of -i**4/66 + 81*i**3/11 + 988*i**2/11 + 1150*i + 1. Factor t(v).
-2*(v - 247)*(v + 4)/11
Let h be (70/4)/(63/28 - 2). Let 5*u**2 - 93 + 143 - h - 15*u = 0. Calculate u.
-1, 4
Let j(r) be the second derivative of 0 - 16/13*r**2 + 38/39*r**3 + 7/130*r**5 + 61/78*r**4 - 34*r. Factor j(t).
2*(t + 1)*(t + 8)*(7*t - 2)/13
Factor -705*c**3 - 855*c - 564*c + 5*c**4 + 500*c - 1256*c - 2885*c**2.
5*c*(c - 145)*(c + 1)*(c + 3)
Let p(o) be the second derivative of o**6/10 + 21*o**5/20 + 17*o**4/4 + 17*o**3/2 + 9*o**2 - 538*o + 1. Determine d so that p(d) = 0.
-3, -2, -1
Suppose f + 3*t = -1069, 3617 = -4*f - t - 714. Let g = f + 1088. Determine h, given that 35/2*h + 45/2*h**3 + 0 + 75/2*h**2 + 5/2*h**g = 0.
-7, -1, 0
Factor 442 + 64*m + 174*m + 206*m + 2*m**2.
2*(m + 1)*(m + 221)
Let u(n) be the third derivative of -13*n**6/2160 + n**5/45 - n**4/48 - 241*n**3/6 - 147*n**2. Let l(y) be the first derivative of u(y). Factor l(f).
-(f - 1)*(13*f - 3)/6
Let k be 8162/1272 - -1*8/32. Solve 8/3 + k*m - 24*m**2 = 0.
-2/9, 1/2
Let d be ((-46)/(-10) - 3) + (-4592)/17220. Factor -5/3*s**2 + 1/3*s**3 + 8/3*s - d.
(s - 2)**2*(s - 1)/3
Let m be (3/(-2))/((-30)/20). Suppose 6*r**3 + 3*r**4 + 18*r - 3*r**2 - 1 - 24*r + m = 0. Calculate r.
-2, -1, 0, 1
Let x = -120762/77 - -17280/11. Let x + 1/7*y**3 + 3*y + 8/7*y**2 = 0. Calculate y.
-3, -2
Suppose -11706*n = -11744*n. Let i(w) be the second derivative of 1/60*w**4 + 1/5*w**2 + n - 1/10*w**3 - 25*w. Factor i(v).
(v - 2)*(v - 1)/5
Let y be (-9 - (35/5 + -6))*(-2 + -1). Let u(l) be the second derivative of l**3 + 0 - y*l + 1/4*l**4 + 3/2*l**2. Factor u(j).
3*(j + 1)**2
Let l(d) be the second derivative of d**4/4 - 13*d**3/3 - 7*d**2/2 + 10*d. Let f be l(9). Factor q**f + 6*q**3 - 4*q**3 - 7*q**2.
2*q**2*(q - 3)
Suppose -5*y + 3*p = -4 - 21, -y + 5*p = -27. Let 18*g**3 + 12*g + 11 - 51 + 24*g**y - 14*g**3 = 0. What is g?
-5, -2, 1
Let b = 174 + -172. Solve 7*f**b - f**4 + 8*f + 7*f**2 + 10*f**2 - f**2 - 13*f**2 + f**3 = 0 for f.
-2, -1, 0, 4
Let l = 7367 - 7362. Let q(i) be the first derivative of 2/25*i**l + 14/3*i**3 - 12/5*i**2 - 72/5*i + 15 + 6/5*i**4. Determine h so that q(h) =