4 - 16*u**3 - 7*u**2 + 6*u**2 - 3*u**4 + 4*u**3 - 12 + 10*u**2 + 12*u = 0?
-1, 1, 2
Let a be -1*(2/(-2) - -2)*4652/(-3489). Solve 4/3*r**5 + 0 - a*r**3 + 0*r + 16/3*r**4 - 16/3*r**2 = 0.
-4, -1, 0, 1
Find l, given that 0 + 2/17*l**5 + 0*l**2 + 0*l - 138/17*l**4 - 140/17*l**3 = 0.
-1, 0, 70
Factor 208*y - 2*y**4 + 3*y**3 - 500 + 992 - 492 - 43*y**3 - 166*y**2.
-2*y*(y - 1)*(y + 8)*(y + 13)
Suppose 5*w - 24 = a, -126*w - a - 10 = -124*w. Determine r so that -2662/15*r**3 + 968/5*r**w + 128/15 - 352/5*r = 0.
4/11
Let k(i) be the first derivative of 2*i**3/15 - 2*i**2/5 - 802. Solve k(y) = 0.
0, 2
Let v(p) be the first derivative of 48*p**5/5 + 115*p**4 + 1216*p**3/3 + 298*p**2 + 80*p + 1114. Determine m, given that v(m) = 0.
-5, -4, -1/3, -1/4
Let m(t) = t**3 + 4*t**2 + 4. Let l be m(-4). Factor -31*a**2 + 18*a**4 - 7*a**3 + 3*a**5 - l*a**3 - 17*a**2 - 96 + 35*a**3 - 144*a.
3*(a - 2)*(a + 2)**4
Let i(g) be the third derivative of g**6/96 - 43*g**5/240 + g**4/4 - 1009*g**2. What is b in i(b) = 0?
0, 3/5, 8
Let z be (-7)/(-336)*6 + (-3451)/(-680). Determine t so that 14*t**2 + 98/5*t + 2/5*t**4 + 0 - z*t**3 = 0.
-1, 0, 7
Let f(g) be the third derivative of -g**3 - 29/120*g**4 + 1/300*g**5 + 0*g + 0 - 181*g**2. Factor f(r).
(r - 30)*(r + 1)/5
Let b = 259 + -223. Solve -8*n**3 - 18*n**2 - b*n**4 + 141*n + 3*n - 4*n**5 - 84*n**3 + 6*n**2 = 0 for n.
-4, -3, 0, 1
Let j be (-5 - -8 - 8)*((-112)/(-20) - 6). Factor 9/2*o**j - 9/2 + 3/2*o**3 - 3/2*o.
3*(o - 1)*(o + 1)*(o + 3)/2
Let y be 5/(-3) + 66452/26940. Let -2/3*z - 2/15*z**2 + y = 0. What is z?
-6, 1
Let v be (36/(-10)*20/(-12))/2. Determine c, given that -16*c**3 + 4*c**5 - 4*c**v + 16*c**3 = 0.
-1, 0, 1
Solve -219/2*c**2 - 3/2*c**4 + 0*c + 0 - 111*c**3 = 0.
-73, -1, 0
Let k be (-4)/10 + 41327/62730. Let m = -3/82 + k. Factor -m*j**3 - 4/9*j - 1/9 - 5/9*j**2.
-(j + 1)**2*(2*j + 1)/9
Let m = -716/401 + 2635/802. Factor -m*b - 1/6*b**2 + 5/3.
-(b - 1)*(b + 10)/6
Let o(z) be the first derivative of z**4/10 - 44*z**3/5 + 261*z**2 - 13456*z/5 + 1095. Factor o(h).
2*(h - 29)**2*(h - 8)/5
Let r(t) be the first derivative of 9*t**5 + 240*t - 73 - 5/18*t**6 + 2525/9*t**3 - 365/4*t**4 - 380*t**2. Let r(g) = 0. What is g?
1, 12
Let c(t) be the third derivative of t**5/240 - 5*t**4/16 + 25*t**3/3 + 1847*t**2. Factor c(a).
(a - 20)*(a - 10)/4
Let l be (4 - 1779/10)/((-9)/(-18)). Let t = l + 348. Find x such that t - 1/5*x**3 - 1/5*x**2 + 1/5*x = 0.
-1, 1
Let n = 11053 - 11053. Let j(z) be the second derivative of n + 0*z**3 - 3/10*z**5 + 0*z**2 + 0*z**4 + 3/14*z**7 - 3*z - 1/10*z**6. Factor j(u).
3*u**3*(u - 1)*(3*u + 2)
Let j(r) be the second derivative of -6*r**2 - 5/2*r**3 + 0 - 63*r - 1/4*r**4. Suppose j(h) = 0. Calculate h.
-4, -1
Let w(p) be the third derivative of -3*p**5/38 + 41*p**4/228 + 4*p**3/57 - 1099*p**2. Factor w(s).
-2*(s - 1)*(45*s + 4)/19
Suppose -9*j + 1 + 22 = 2*l, 5*j = -2*l + 11. Let -1/5*o**4 - 4/5*o - 12/5 + 9/5*o**2 + 0*o**j = 0. Calculate o.
-3, -1, 2
Let b(k) = -4*k + 14. Let a be b(4). Let d be (2827/22)/(a/(-4)). Find u such that -3*u**4 - d + 0*u**4 + 17*u**2 + 263 + u**3 + 19*u = 0.
-1, -2/3, 3
Suppose 5*z + 28*q - 23*q - 5 = 0, 4*q = 3*z - 24. Suppose 0 = 3*p - 13*n + 12*n - 13, 4*n = -z*p - 4. Factor -1/5*a**p - 2/5*a**2 + 1/5*a + 2/5.
-(a - 1)*(a + 1)*(a + 2)/5
Suppose -41*o - 18*o = 29*o. Factor 0*s - 8/13*s**3 - 16/13*s**2 + 2/13*s**5 + 4/13*s**4 + o.
2*s**2*(s - 2)*(s + 2)**2/13
Let c = 101489/135340 + 4/33835. Find p such that -9/4*p + 3/2 - c*p**2 + 9/4*p**3 - 3/4*p**4 = 0.
-1, 1, 2
Let t(k) be the third derivative of k**2 - 13/21*k**3 + 1/420*k**6 + 9*k - 1/14*k**5 + 9/28*k**4 + 0. Solve t(w) = 0.
1, 13
Suppose 16*q = 12*q + 5*m + 606, 5*q - 766 = 2*m. What is d in q + 1656*d**2 - 1526*d**2 + 275*d - 14 - 5*d**3 = 0?
-1, 28
Suppose 194*l - 492 - 90 = 0. Solve -3*y**l - 13/3*y - 20/3*y**2 - 2/3 = 0.
-1, -2/9
Let b(l) = -35*l**3 - 400*l**2 - 755*l + 3430. Let d(j) = -5*j**3 - 37*j**2 - 108*j + 28*j**2 + 490 - 48*j**2. Let f(o) = 3*b(o) - 20*d(o). Factor f(t).
-5*(t - 2)*(t + 7)**2
Let v be (-14)/(-252) - (-214)/(-3852). Factor 3/7*w**3 + v + 0*w + 0*w**2 + 3/7*w**4.
3*w**3*(w + 1)/7
Suppose -14710*h - 1512000 = -14836*h. Factor 3/2*r**3 - h + 1800*r - 90*r**2.
3*(r - 20)**3/2
Let v(c) be the first derivative of c**3/18 - c**2 - 13*c/6 - 678. Factor v(d).
(d - 13)*(d + 1)/6
Suppose -4*t + 100 = 4*x, -19*x + 14*x - 91 = -4*t. Let g be t/6*3/9. Suppose -2/9*c**2 + g*c + 0 = 0. Calculate c.
0, 6
Let t(b) = -61*b**3 - 3*b**2 - 3*b - 2. Let o be t(-2). Factor 25*u**2 + 408 - o*u + 42 + 103*u**2.
2*(8*u - 15)**2
Let k be 4/(-16)*-6 - 6/4. Suppose 4*m + 2*m - 18 = k. Factor -w - 10*w**2 - 2*w**3 - 4*w - 2*w**m - w**3.
-5*w*(w + 1)**2
Suppose -5*h - 2*j + 26 = -7, -4 = -4*h + 4*j. Suppose -h*q - n + 39 = 0, 0*q - 11 = -q - n. Find c, given that -15*c - 5*c**2 + 17 - q + 10 = 0.
-4, 1
Let s(j) be the second derivative of -1/10*j**5 - 16 + 1/30*j**4 + 4/5*j**2 + 8/15*j**3 - 1/75*j**6 + 2*j + 1/105*j**7. Determine y, given that s(y) = 0.
-1, 2
Let c(y) be the third derivative of y**5/630 + 4*y**4/21 - 7*y**3/9 + 2662*y**2. Factor c(p).
2*(p - 1)*(p + 49)/21
Let c(g) be the second derivative of -g**6/120 - 3*g**5/80 + 73*g**4/48 - 55*g**3/8 + 1000*g. Factor c(f).
-f*(f - 5)*(f - 3)*(f + 11)/4
Let h(w) be the first derivative of -1/1800*w**6 + 0*w**4 + 0*w**5 + 0*w**2 - 1 + 7/3*w**3 + 0*w. Let u(p) be the third derivative of h(p). Factor u(r).
-r**2/5
Let s(h) be the first derivative of h**5/10 + 97*h**4/2 + 193*h**3/3 - 97*h**2 - 387*h/2 - 7689. Find j, given that s(j) = 0.
-387, -1, 1
Let g be 4/(-2)*(-1)/2 - -4. Suppose -3 = 3*k + 4*u + 2, -k - 20 = 5*u. Solve g*f**4 - 5*f + 5 + 6*f + 5*f**k - 13*f**2 + 4*f + 3*f**2 - 10*f**3 = 0 for f.
-1, 1
Let w(t) = t - 1. Let d be (0 + 4)*2/4. Let o = 1143 - 1144. Let v(j) = -5*j**2 - 18*j - 2. Let y(g) = d*w(g) + o*v(g). Find b, given that y(b) = 0.
-4, 0
Let u(o) = -2210*o - 46408. Let a be u(-21). Factor -8/5*j**3 + 17/5*j**a - 2*j + 1/5.
-(j - 1)**2*(8*j - 1)/5
Factor 0*p**2 + 0 + 1/4*p**4 + 64*p - 3*p**3.
p*(p - 8)**2*(p + 4)/4
Let y(c) be the first derivative of -c**5/50 + 877*c**4/40 - 64531*c**3/10 + 114931*c**2/4 - 190969*c/5 + 92. Determine z, given that y(z) = 0.
1, 2, 437
Let d(u) be the third derivative of -8*u + 7*u**2 + 1/16*u**4 + 21/320*u**6 + 0*u**3 + 0 - 1/140*u**7 - 21/160*u**5. Suppose d(k) = 0. What is k?
0, 1/4, 1, 4
Let b(a) be the second derivative of -25*a**6/12 + 63*a**5/10 - 43*a**4/8 + a**3/6 - 2540*a. Solve b(d) = 0.
0, 2/125, 1
Let j(d) = d**2 - d + 2. Let b(l) = 2*l**2 - 10*l + 8. Let v = -87 - -83. Let z(c) = v*j(c) + b(c). Let z(q) = 0. What is q?
-3, 0
Factor -2258 - 142 + 773743*s**2 - 776683*s**2 + 7180*s - 25*s**3.
-5*(s - 2)*(s + 120)*(5*s - 2)
Suppose -1976*h + 1977*h - 5*w - 7 = 0, 12 = 4*h - 4*w. Let j(t) be the first derivative of -2/51*t**3 - 4 + 0*t - 1/17*t**h. Factor j(l).
-2*l*(l + 1)/17
Let h(k) be the second derivative of -k**4/6 + 38*k**3/3 - 357*k**2 + k + 759. Determine n, given that h(n) = 0.
17, 21
Let m(s) be the second derivative of -s**6/3060 - 11*s**5/255 - 121*s**4/51 - 76*s**3/3 + 88*s. Let f(l) be the second derivative of m(l). Factor f(g).
-2*(g + 22)**2/17
Suppose t + 190 = -3*l, -157 = -5*l + 4*t - 485. Let h = -54 - l. Factor -5*u**3 - 6*u**3 + h + 6*u**3 + 15*u.
-5*(u - 2)*(u + 1)**2
Let t(c) be the first derivative of -c**5/15 + c**4/2 - c**3/3 - 5*c**2/3 - 2160. Let t(v) = 0. What is v?
-1, 0, 2, 5
Let t be (-587)/(((-35)/49)/(-5)). Let s = t - -53445/13. Suppose s*q - 98/13 - 2/13*q**2 = 0. What is q?
7
Let p(s) be the first derivative of -s**6/27 - 16*s**5/45 - 11*s**4/9 - 16*s**3/9 - s**2 - 5268. Find a such that p(a) = 0.
-3, -1, 0
Let d = 9062057/15 - 604137. Factor -8/15*s**3 + 0 + 0*s**2 + d*s**5 - 2/5*s**4 + 0*s.
2*s**3*(s - 4)*(s + 1)/15
Solve -270 + 57/2*n**2 - 1/2*n**3 - 76*n = 0.
-2, 5, 54
Let v(o) be the second derivative of 98*o**7/3 - 3136*o**6/15 - 2576*o**5/5 + 8576*o**4/3 + 34816*o**3/3 + 16384*o**2 - 1109*o. Factor v(r).
4*(r - 4)**2*(7*r + 8)**3
Let g(c) = 19*c**3 - 220*c**2 + 151*c + 60. Let p(o) = o**3 + o. Suppose 2*q + 11*j = 14*j - 17, -2*q + 13 = 3*j. Let a(k) = q*g(k) + 5*p(k). Factor a(s).
-2*(s - 15)*(s - 1)*(7*s + 2)
Let v = -545 - -570. Factor 