 + 102*a**2 + 358*a - 73*a = 0. Calculate a.
-31, -2, -1
Let y = -2/2341 - 2309/37456. Let r = 11/80 - y. What is k in -1/5*k**2 + 0 - r*k = 0?
-1, 0
Let d be (-345)/1380 - (-1)/(4/17). Let i be (0/(-2))/(-3 - -2). What is n in i*n**2 + 3*n - n**2 - 9*n**3 + n**d - 8*n**5 + 17*n**4 - 3*n**2 = 0?
-1/2, 0, 3/4, 1
Let a = 129 + -118. Let q(m) be the second derivative of 0*m**4 + 0 + 2/15*m**6 - 1/5*m**5 + a*m + 0*m**3 + 0*m**2. Suppose q(r) = 0. Calculate r.
0, 1
Factor 6*p**2 - 15*p**2 - 25*p**4 + 28*p**4 - 18*p**2 - 4*p + 9*p**3 + 19*p.
3*p*(p - 1)**2*(p + 5)
Let i(o) be the first derivative of 0*o + 55 - 19/18*o**2 + 1/27*o**3. Suppose i(x) = 0. Calculate x.
0, 19
Let n be (-10)/(-60)*24*1/(-8)*-6. Find b such that -3/7*b**5 + 6*b**2 - 3*b**4 - 3 + 6/7*b**n - 3/7*b = 0.
-7, -1, 1
Let 0 + 1/3*s**2 - 214/3*s = 0. What is s?
0, 214
Let r(s) be the second derivative of 1/39*s**3 + 0*s**4 + 0 - 1/130*s**5 + 46*s + 0*s**2. Factor r(g).
-2*g*(g - 1)*(g + 1)/13
Let j(l) = 3*l - 20. Let n be j(12). Suppose 24 + 66 + n*x**3 + 16*x - 84*x**2 - 49 + 4*x**4 + 71 = 0. What is x?
-7, -1, 2
Let y(f) be the second derivative of f**7/168 + 2*f**6/3 + 839*f**5/40 + 65*f**4 + 507*f**3/8 + 10*f + 4. What is l in y(l) = 0?
-39, -1, 0
Let m(v) be the first derivative of -2187*v**4/7 - 5940*v**3/7 - 93*v**2/2 - 6*v/7 + 180. Find t, given that m(t) = 0.
-2, -1/54
Suppose -6*v + 89 = 179 - 102. Let x(q) be the third derivative of 2*q**v + 0*q + 0 - 1/300*q**5 - 1/30*q**4 + 1/6*q**3. Factor x(c).
-(c - 1)*(c + 5)/5
Let v(m) be the first derivative of m**5/6 + 115*m**4/12 + 545*m**3/18 - 4025*m**2 + 36750*m - 785. Suppose v(g) = 0. Calculate g.
-30, 7
Let y = 165581 + -165578. Factor -3*v**2 + 0 + 0*v - 3/5*v**y.
-3*v**2*(v + 5)/5
Let a(z) = -2*z**3 + 28*z**2 - 4*z + 58. Let v be a(14). Factor -34*b**2 + 24*b**v + 58*b**2 + 52*b - 2*b**4 + 18 + 17*b**3 - 5*b**3.
-2*(b - 9)*(b + 1)**3
Let a(x) be the first derivative of -2*x**3/39 + 391*x**2/13 - 60*x - 650. Factor a(k).
-2*(k - 390)*(k - 1)/13
Let a = 21870 - 11424. Let -32 - 11010*z**2 + a*z**2 - 252*z - 322*z**3 - 49*z**4 + 4*z = 0. What is z?
-4, -2, -2/7
Let r = 374 + -311. Suppose 18 = r*w - 54*w. Let 4/15*y + 0 + 2/15*y**w = 0. What is y?
-2, 0
Suppose 4900 = -135*x + 140*x. Let w = 983 - x. Find v such that -46/3*v**2 + 16*v**3 - 16*v - 3 - w*v**4 = 0.
-1/3, 3
Let l be 0/(-11) - (9/3)/(-1). Let p(y) = 17*y**2 - 2*y + 3. Let t be p(3). Solve -r**4 + 155*r**3 + 6*r - t*r**l - 8*r**2 - 2*r = 0.
0, 1, 2
Let l(n) be the first derivative of n**3 + 45*n**2 + 627*n + 6677. Factor l(m).
3*(m + 11)*(m + 19)
Factor 120 + 3/2*l**3 - 9/2*l**2 - 117*l.
3*(l - 10)*(l - 1)*(l + 8)/2
Let g(d) be the first derivative of 219*d**5/10 + 659*d**4/8 + 74*d**3 + d**2 + 6146. Solve g(j) = 0 for j.
-2, -1, -2/219, 0
Factor 1376 - 5*y**2 + 3*y**2 + 0*y**2 - 7171*y + 8545*y + 0*y**2.
-2*(y - 688)*(y + 1)
Let d(w) be the second derivative of w**6/90 - w**5/15 - w**4/4 + 2*w**3 + 685*w. Factor d(k).
k*(k - 4)*(k - 3)*(k + 3)/3
Let t(x) be the second derivative of -89*x**6/60 - 271*x**5/40 - 93*x**4/8 - 101*x**3/12 - x**2 + 8760*x. Factor t(w).
-(w + 1)**3*(89*w + 4)/2
Let y(r) be the first derivative of -r**6/33 - 24*r**5/55 - 23*r**4/11 - 40*r**3/11 - 25*r**2/11 - 4353. Determine p, given that y(p) = 0.
-5, -1, 0
Let o(n) be the first derivative of 28175*n**4/2 + 910*n**3/3 - 328*n**2 + 24*n + 224. Factor o(c).
2*(23*c + 3)*(35*c - 2)**2
Let t(y) = y - 9. Let w be t(3). Let x(s) = 10*s**3 + 16*s**2 - 10*s - 10. Let f(p) = -p**3 + p - 1. Let z(h) = w*f(h) - x(h). Suppose z(a) = 0. What is a?
-4, -1, 1
Let n(z) be the first derivative of -2/35*z**5 - 283 - 1250/7*z - 484/7*z**3 - 1300/7*z**2 - 26/7*z**4. Factor n(x).
-2*(x + 1)**2*(x + 25)**2/7
Suppose 4*f + 3*n - 60 = -52, 0 = 2*f - 4*n - 4. Find o, given that -56/9*o**3 + 0*o + 0 - 10/9*o**4 + 10/3*o**f + 4/9*o**5 = 0.
-3, 0, 1/2, 5
Let j = -169 + 172. Factor -j*x**3 + 120*x + 28*x**2 + 5*x**3 + 0*x**3 + 144.
2*(x + 2)*(x + 6)**2
Solve -46/11*d**3 + 36/11*d + 86/11*d**4 - 86/11*d**2 + 0 + 10/11*d**5 = 0 for d.
-9, -1, 0, 2/5, 1
Let z(l) be the first derivative of -16*l**6/15 + 2832*l**5/25 + 727*l**4/10 - 2654*l**3/15 - 711*l**2/5 - 178*l/5 - 1513. Find c such that z(c) = 0.
-1, -1/4, 1, 89
Let f(i) be the first derivative of 6*i**3 + 1/2*i**4 + 24*i - 42 + 20*i**2. Factor f(x).
2*(x + 1)*(x + 2)*(x + 6)
Let r(f) be the first derivative of 6*f**5/5 - 137*f**4/10 + 162*f**3/5 - 27*f**2 + 28*f/5 + 1737. Find w, given that r(w) = 0.
2/15, 1, 7
Let m = -337 + 353. Factor m - 4 - 36*q**3 - 160*q + 209*q**2 + 36 - 53*q**2.
-4*(q - 3)*(3*q - 2)**2
Factor 81 + 81/2*h - 3/2*h**3 + 0*h**2.
-3*(h - 6)*(h + 3)**2/2
Let d be (27 + -17 + -9)*19. Let h(l) be the third derivative of 8/75*l**5 - 1/150*l**6 + 0*l**3 - d*l**2 - 8/15*l**4 + 0 + 0*l. What is y in h(y) = 0?
0, 4
Let g(p) be the second derivative of -p**7/336 + p**6/48 + p**5/12 - p**3/6 - 8*p**2 + 31*p. Let n(c) be the second derivative of g(c). Factor n(j).
-5*j*(j - 4)*(j + 1)/2
What is f in -613/2*f**2 + 0 - 153*f**3 - f = 0?
-2, -1/306, 0
Let q(v) be the second derivative of -v**4/6 + 511*v**3/3 + 512*v**2 + 439*v - 2. Factor q(c).
-2*(c - 512)*(c + 1)
Let p(y) = -54*y**2 + 3*y + 48. Let d = 422 - 425. Let n(c) = c**3 + 54*c**2 - 5*c - 46. Let a(t) = d*n(t) - 4*p(t). Factor a(x).
-3*(x - 18)*(x - 1)*(x + 1)
Suppose j = -j. Suppose 5*v - 25 + 5 = j. Suppose 42*o**3 - 24*o**2 + 6*o**v + 3*o**5 + 0 + 0 - 54*o**3 = 0. What is o?
-2, 0, 2
Let f(l) be the first derivative of -l**4/4 - 53*l**3/3 - 100*l**2 - 196*l + 1921. Suppose f(n) = 0. Calculate n.
-49, -2
Let t = 2664 + -2660. Let x(z) be the first derivative of -8*z**3 + 9 + 0*z - t*z**2 - 9/2*z**4. Suppose x(b) = 0. What is b?
-2/3, 0
Let p be (-12)/(-15)*39/273*(-20)/(-2). Find i, given that 4/7 + 4/7*i**2 - p*i**4 - 2/7*i**5 - 8/7*i**3 + 10/7*i = 0.
-2, -1, 1
Suppose -43*q = -58*q + 30. Factor 3*g**3 + 2*g**2 - 6 + 3*g**4 - 26*g**2 - 15*g + 3*g**2 + 12*g**q.
3*(g - 2)*(g + 1)**3
Let t(b) be the third derivative of -b**6/240 - b**5/40 + 11*b**4/24 + 2*b**3 + 3765*b**2. Determine v, given that t(v) = 0.
-6, -1, 4
Let s(r) = 2*r**2 - 172*r - 350. Let q be s(-2). Let c(g) be the first derivative of 0*g - 8/3*g**3 - 7 - 1/2*g**4 + 0*g**q. Factor c(z).
-2*z**2*(z + 4)
Let r(l) be the first derivative of -l**4/6 + 16*l**3 - 329*l**2/3 - 268*l - 7017. Solve r(b) = 0.
-1, 6, 67
Let o(j) be the first derivative of 0*j - 1/96*j**4 + 1/160*j**5 - 3 + 8/3*j**3 + 0*j**2 - 1/720*j**6. Let x(a) be the third derivative of o(a). Factor x(s).
-(s - 1)*(2*s - 1)/4
Let s(w) be the first derivative of -29*w**5/50 - w**4/20 + 29*w**3/10 + 16*w**2/5 + 2*w/5 - 554. What is r in s(r) = 0?
-1, -2/29, 2
Let n be ((-16)/(-24) - 0) + 14/6. Let u(a) be the second derivative of -1/36*a**4 + 0*a**2 + 0 + 19*a - 1/6*a**n. Determine l, given that u(l) = 0.
-3, 0
Let b(r) be the third derivative of -r**7/420 - 97*r**6/120 - 9973*r**5/120 - 4559*r**4/4 - 6627*r**3 + 310*r**2. Factor b(x).
-(x + 3)**2*(x + 94)**2/2
Factor -112*v - 19*v**3 - 44*v**3 + 4*v**3 + 4*v**3 - 65*v**3 + 4*v**4 + 228*v**2.
4*v*(v - 28)*(v - 1)**2
Let z(h) be the second derivative of -h**4/18 - 8*h**3/3 + 25*h**2/3 + 674*h. Find u such that z(u) = 0.
-25, 1
Let y = -34 - -262. Let -y - 24*b**2 + 80*b + 2*b**4 - 4*b**3 - 193 + 357 = 0. Calculate b.
-4, 2
Suppose -1620 = 4*k - 788. Let t be 8/(-12) + 0 - k/78. Suppose 16/3*f**t + 4/3 - f**3 - 17/3*f = 0. Calculate f.
1/3, 1, 4
Let -2178/5 - 6402/5*w - 1228*w**2 - 2/5*w**5 - 1788/5*w**3 + 126/5*w**4 = 0. What is w?
-1, 33
Suppose -52516*l**2 + 4132*l**2 - 602*l**3 - 4*l**4 + 42*l**3 + 89663*l + 10689*l - 328*l**3 = 0. What is l?
-112, 0, 2
Let t = 53 - 37. Solve -20*r + 0*r**2 + 9*r**3 - t*r - 3*r**4 + 24 + 6*r**2 = 0 for r.
-2, 1, 2
Solve 51*a + 4*a**5 - 12*a**4 - 75*a**3 + 233*a**2 - 105*a**2 - 18 - 118*a**2 = 0.
-3, -1, 1/2, 6
Let t(u) be the second derivative of -2*u**6/75 + 61*u**5/25 - 64*u**4 + 120*u**3 + 2374*u. Let t(j) = 0. What is j?
0, 1, 30
Let j = -1552 + 13970/9. Let n = 485/18 + -53/2. Find x, given that -2/3 + 14/9*x**3 + n*x**4 + j*x**2 - 14/9*x = 0.
-3, -1, -1/2, 1
Let c(y) be the second derivative of 1/6*y**4 + y**3 - 3/10*y**5 - 42*y - 2*y**2 + 0 + 1/15*y**6. Find u such that c(u) = 