ve of -14/3*r**3 - 20*r - 136 - 37*r**2. Factor v(i).
-2*(i + 5)*(7*i + 2)
Suppose -5*v + 114 - 51 - 33 = 0. Let n(t) be the second derivative of 0*t**2 - 5/6*t**3 + 30*t + 0 + 2/3*t**v + 5/6*t**4 + 7/4*t**5. Factor n(i).
5*i*(i + 1)**2*(4*i - 1)
Let y(f) = 7*f**2 + f. Let u(x) = -30*x**2 - 110*x - 104. Let j(d) = -u(d) - 4*y(d). Factor j(z).
2*(z + 1)*(z + 52)
Let s be 357 - 358 - 9/(-8). Let f(c) be the third derivative of -15*c**2 - s*c**4 + 0 + 0*c - 3/4*c**3 + 1/320*c**6 + 1/160*c**5. Let f(l) = 0. What is l?
-2, 3
Let p be (4/7)/((-6)/1008*-8). Let r(g) = -8*g + 96. Let t be r(p). Determine c, given that -20/7*c**2 - 16/7*c**3 - 8/7*c + t - 4/7*c**4 = 0.
-2, -1, 0
Solve -2*y**3 - 90 - 12708*y**2 + 88*y - 2*y**4 - 86*y**3 + 12800*y**2 = 0.
-45, -1, 1
Let j be (-5 - (-395)/80)*-24. Factor j*i**2 + 0*i + 0 - 1/2*i**3.
-i**2*(i - 3)/2
Let m = 74 - 87. Let v(u) = 2*u**2 + 26*u + 2. Let x be v(m). Factor 2*s**x + 5 - 13 + 0*s + 2*s - 4.
2*(s - 2)*(s + 3)
Suppose 10*y = 8*y. Suppose 2*t + u - 9 = y, t + u + 1 - 8 = 0. Factor 16 - 298*k**2 - 32*k + 74 + 300*k**t + 38.
2*(k - 8)**2
Suppose -2*o**5 + 568*o**2 + 140*o**4 + 260 + 223*o**3 + 3*o**5 + 616*o**2 + o**5 + 914*o + 445*o**3 = 0. Calculate o.
-65, -2, -1
Let l(c) = -c**5 - 6*c**4 - c**3 - 1. Let i(h) = -2*h**5 - 11*h**4 + 3*h**3 + 20*h**2 - 1. Let a(w) = -2*i(w) + 2*l(w). Let a(d) = 0. Calculate d.
-5, -2, 0, 2
Let h = 559423 + -559421. What is u in 4*u**h - 16/3*u + 0 + 4/3*u**3 = 0?
-4, 0, 1
Let p be (22/(-30) - 15/(-45))*-5. What is w in -w + 5*w - 26*w**3 - 21*w**2 - w**p = 0?
-1, 0, 2/13
Let f = -5380 - -59186/11. Let g(b) be the first derivative of -10/11*b - 2/33*b**3 + 2 + f*b**2. Determine k so that g(k) = 0.
1, 5
Let w be (702/45 + -16)/(6/(-135)*7). Solve -w + 3/7*j**3 + 3*j - 15/7*j**2 = 0 for j.
1, 3
Let o(z) be the first derivative of -1/34*z**4 + 16/17*z**2 + 31 + 0*z + 4/17*z**3. What is w in o(w) = 0?
-2, 0, 8
Suppose -2/11*k**4 - 31236/11*k**2 - 59536/11 - 90280/11*k - 494/11*k**3 = 0. Calculate k.
-122, -2, -1
Let j(p) be the second derivative of -p**6/345 + 5*p**5/46 + 71*p**4/69 + 236*p**3/69 + 120*p**2/23 + 2*p - 2903. Find z such that j(z) = 0.
-2, -1, 30
Let k(z) = 2*z**2 - 1. Let t(n) = -6*n + 1. Let f(l) = -9*l**2 - 6*l - 9. Let b(v) = f(v) - 4*t(v). Let d(c) = -b(c) - 4*k(c). What is r in d(r) = 0?
1, 17
Let w(g) be the second derivative of g**5/100 + 31*g**4/60 + 19*g**3/6 - 2527*g**2/10 + 701*g - 3. Find b, given that w(b) = 0.
-19, 7
Let c be 3*(-1)/(-6)*8. Suppose 25 = 5*d - c*w, 0 = 3*d - 4*d + w + 5. Let -14 + 3*r**5 - 10*r**3 + 2*r**d + 5*r + 14 = 0. What is r?
-1, 0, 1
Factor 3474*h - 59 + 20*h**3 - 1702*h + 563 + 1288*h**2.
4*(h + 1)*(h + 63)*(5*h + 2)
Suppose -2*u - 8 = 0, -73 = -2*a - u + 11. Suppose -16 = -a*d + 40*d. Factor 12*r**3 + r + 0*r**4 + 12*r**2 + r**4 + 3*r + 3*r**d.
4*r*(r + 1)**3
Suppose -9*f + 13/2*f**4 + 24*f**2 - 3/4*f**5 + 0 - 79/4*f**3 = 0. What is f?
0, 2/3, 2, 3
Let g(k) be the third derivative of -3*k**7/245 - 23*k**6/140 - 38*k**5/105 + 17*k**4/7 - 80*k**3/21 - 218*k**2. Solve g(j) = 0 for j.
-5, -4, 2/3
Factor b**2 - 515*b - 351*b - 402 + 1509*b + 2*b**2 - 448*b.
3*(b - 2)*(b + 67)
Let a(x) be the third derivative of 1/20*x**6 + x + 19*x**2 + 1/40*x**5 - x**3 - x**4 + 0. Factor a(v).
3*(v - 2)*(v + 2)*(4*v + 1)/2
What is d in 440/3*d**4 + 0*d - 4198/9*d**3 + 0 - 14/9*d**5 + 364/3*d**2 = 0?
0, 2/7, 3, 91
Suppose 127*t - 44542 = -180305. Let v = t + 18175/17. Suppose -10/17*m**2 + v*m**4 - 2/17*m**5 + 4/17*m + 6/17*m**3 + 0 = 0. Calculate m.
-2, 0, 1
Let c(l) be the first derivative of l**4/14 - 4*l**3/21 - 3*l**2/7 + 771. Find w, given that c(w) = 0.
-1, 0, 3
Let m(k) = 4*k**4 - 8*k**3 + 9*k + 9. Let a(t) = -3 - 4 - t**4 + 6*t + 5 + 2*t**3 - 8*t. Let o(p) = 9*a(p) + 2*m(p). Factor o(s).
-s**3*(s - 2)
Solve 31522*x**2 - 9560*x + 1062 + 54*x**4 - 2830*x**2 - 63847*x**3 + 35119*x**3 = 0 for x.
1/3, 531
Factor -189*n - 6 + 4*n**2 + 562 - 3*n + 384 + 68.
4*(n - 42)*(n - 6)
Let v be 1/(4/4580) - -5. Find m such that -1154*m**3 - 5*m**2 - 3*m**2 + v*m**3 = 0.
-2, 0
Let c(z) = z**3 - 801*z**2 + 1595*z - 855. Let l(x) = -x**3 + 801*x**2 - 1594*x + 869. Let u(m) = -5*c(m) - 4*l(m). Solve u(b) = 0 for b.
1, 799
Let w(h) = 13*h**3 - 111*h**2 + 668*h + 1848. Let b(c) = 3*c**3 - 28*c**2 + 167*c + 462. Let q(r) = -9*b(r) + 2*w(r). Determine v, given that q(v) = 0.
-2, 11, 21
Find g such that -13*g - 4*g**2 + 9*g**2 - 6*g**2 + 56*g - 103*g = 0.
-60, 0
Let v = -53705/6 + 8951. Let f(a) be the first derivative of 7/18*a**6 + 0*a + 0*a**2 - 3/5*a**5 + 0*a**3 - 11 + v*a**4. Let f(y) = 0. What is y?
0, 2/7, 1
Let v(h) = 8*h**4 + 84*h**3 + 136*h**2 - 400*h - 472. Let j(r) = r**4 + r**2 + r - 4. Let f(l) = -4*j(l) + v(l). Suppose f(t) = 0. Calculate t.
-19, -3, -1, 2
Factor -9*f**3 - 403*f**2 + 29*f**3 + 718716 - 212*f**2 - 720046 - 5475*f.
5*(f - 38)*(f + 7)*(4*f + 1)
Let c(k) be the third derivative of k**8/420 + 17*k**7/105 + 223*k**6/50 + 1548*k**5/25 + 2088*k**4/5 + 3456*k**3/5 + 1259*k**2. Suppose c(z) = 0. Calculate z.
-12, -6, -1/2
Let i(d) be the first derivative of -4*d**3/3 - 348*d**2 + 3086. What is k in i(k) = 0?
-174, 0
Let l be (-2 - -16) + (-10137)/327 - -21. Solve 8*r**3 - 6*r**2 + 0 + 4/3*r - 10/3*r**l = 0.
0, 2/5, 1
Suppose -i + 4*n - 8313 = -8371, 4*i + 3*n = -34. Factor 8/5 + 2/5*z**i + 2*z.
2*(z + 1)*(z + 4)/5
Suppose 0 = -2*y + 7 - 3. Let v be -1*(-2 - (-3 + 5)). Determine z, given that 6*z**v + 2 + 5*z**5 + 10*z**2 - 26*z**4 - 25*z + 20*z**3 + 6 + y = 0.
-1, 1, 2
Let s be -12 - (-10)/(-5) - (-47 - 3108/(-112)). Factor -9/8*z**3 - 1 - 25/8*z**2 + s*z.
-(z - 1)*(z + 4)*(9*z - 2)/8
Let z(t) = -270*t**3 + 935*t**2 + 12050*t + 20090. Let d(w) = 23*w**3 - 78*w**2 - 1004*w - 1674. Let n(k) = -35*d(k) - 3*z(k). Find p such that n(p) = 0.
-7, -2, 24
Let r(g) = 35*g**2 - 150*g - 873. Let q(c) = -435*c**2 + 1800*c + 10475. Let p(m) = 2*q(m) + 25*r(m). Factor p(u).
5*(u - 35)*(u + 5)
Let s = -17/829 + 6683/2487. Let o(n) be the first derivative of -38 - s*n**3 + 0*n - n**4 - 2*n**2. Factor o(d).
-4*d*(d + 1)**2
Let o(d) be the third derivative of -d**8/336 + 2*d**7/105 + d**6/15 - 8*d**5/15 - 2*d**4/3 + 32*d**3/3 - 2*d**2 + 2001. Factor o(x).
-(x - 4)*(x - 2)**2*(x + 2)**2
Let f(w) be the second derivative of 0 + 0*w**2 + 5/3*w**4 - 63*w - 1/4*w**5 + 0*w**3. Factor f(c).
-5*c**2*(c - 4)
Suppose 71 = -q - 19. Let h = q + 84. Let d(r) = 2*r + 1. Let p(z) = -6*z**2 + 15*z + 15. Let y(i) = h*d(i) + p(i). Let y(m) = 0. Calculate m.
-1, 3/2
Let v be (0/2)/(-4*(-7)/(-56)*6). Let b(k) be the second derivative of -1/4*k**2 + 1/6*k**3 - 1/20*k**5 + 1/60*k**6 + v*k**4 + k + 0. Find t such that b(t) = 0.
-1, 1
Suppose 24 = 10*g - 4*g. Let q(w) = -w**3 + 4*w**2 + w. Let l be q(g). Factor 4*o + 9*o**2 + l - 13*o**2 + 0 - 4*o**3.
-4*(o - 1)*(o + 1)**2
Let y be 222*(-3)/(-3)*(-12)/(-18). Factor b**2 + 3*b**2 - 2738 + 3*b**2 + y*b - 9*b**2.
-2*(b - 37)**2
Suppose 494/21*m**2 - 34/21*m**3 + 42 - 274/3*m = 0. Calculate m.
9/17, 7
Suppose -6 = w + q - 1, -4*w = 3*q + 15. Let k = -45240 - -180963/4. Let -5/4*b**2 + w + 1/4*b**4 + k*b + 1/4*b**3 = 0. Calculate b.
-3, 0, 1
Let n be -1 + (-22)/(-14) - 3416/(-196). Suppose -3*f + 20 = 14. Determine s so that -3*s**5 - n*s**2 + 9*s**3 + 12*s**f + 0*s**5 = 0.
-2, 0, 1
Suppose -5*w = -5*z, -2*w = w - 12. Let b be (-33)/(-36)*(-10 + (-1792)/(-176)). Factor -1/6*s - b*s**2 + 1/6*s**3 + 0 + 1/6*s**z.
s*(s - 1)*(s + 1)**2/6
Let o(q) be the second derivative of q**6/60 + 3*q**5/20 + 11*q**4/24 + q**3/2 - 406*q. Determine t so that o(t) = 0.
-3, -2, -1, 0
Factor 0 + 3891*f + 124 + 54 + 1686*f**2 + 9*f**3 + 65 + 867.
3*(f + 2)*(f + 185)*(3*f + 1)
Let a(i) = -i + 27. Let z be a(7). Factor -3*n + 17*n - z*n - 6 - 3 - n**2.
-(n + 3)**2
Let d be 2/6 - (-64)/(-48). Let w be (86/172)/(2 + 0 + d). Factor -1/2*c**5 - w*c + c**3 - 1/2*c**4 + c**2 - 1/2.
-(c - 1)**2*(c + 1)**3/2
Let w(c) be the third derivative of c**6/30 - 92*c**5/15 - 190*c**4/3 - 256*c**3 - 869*c**2. Let w(z) = 0. What is z?
-2, 96
Suppose 5*s - 3*o - 3 = 0, -3*s - 49*o + 48*o = 1. Suppose 72/7*f**3 + 0*f + 0 + 24/7*f**4 + 2/7*f**5 + s*f**2 = 0. Calculate f.
-6, 0
Determine z so that -3*z**5 - 4*z**2 + 9*z**3 + 0 - 4/3*z - 2/3*z**4 = 0.
-2, -2/9, 0, 1
Let i(z) 