 9*z**4 - 92 - z**2 - 14*z**2.
-3*z**2*(z - 1)**2*(z + 5)
Solve -85*c**3 + 156*c + 3*c**4 + 62 + 41*c**3 - 15*c**4 + 36*c**2 - 23 + 49 = 0 for c.
-11/3, -1, 2
Determine r, given that 0*r + 2/5*r**3 + 0 + 154/5*r**2 = 0.
-77, 0
Let h = -34 + 30. Let s be h/(6 + -2)*-1. What is t in -3*t**2 + 2*t**3 - 3 - 3*t**2 + 3*t**4 - 10*t - s - t**4 = 0?
-1, 2
Let m(t) be the second derivative of 3/20*t**5 + 0 + 152*t - 1/2*t**3 - 12*t**2 + 2*t**4. Factor m(v).
3*(v - 1)*(v + 1)*(v + 8)
Let u be (-13 - -5 - (-236)/30)/(-2). Let g(l) be the third derivative of -1/24*l**4 + 0*l + 4*l**2 - u*l**3 - 1/600*l**6 - 1/75*l**5 + 0. Factor g(j).
-(j + 1)**2*(j + 2)/5
Suppose w + 239 - 401 = 0. Factor 151*g**4 - w*g**4 - 10*g**5 + 9*g**5 + 12*g**3.
-g**3*(g - 1)*(g + 12)
Factor -225/4 + 33/4*f**2 - 195/4*f + 3/4*f**3.
3*(f - 5)*(f + 1)*(f + 15)/4
Suppose 5*f - 29 - 16 = 0. Suppose -f*r = -2*r - 14. Factor -r*c**2 + 1 - 17*c - c**5 + 2*c**4 + 2*c**3 + 16*c - c**4.
-(c - 1)**3*(c + 1)**2
Let z(f) be the third derivative of f**9/5544 + f**8/770 - f**7/308 - 80*f**3/3 - 17*f**2 - 5. Let i(h) be the first derivative of z(h). Factor i(k).
6*k**3*(k - 1)*(k + 5)/11
Suppose 0 = -31*o + 10*o + 2415. Suppose 21*l**4 - 32 - 48*l - 132*l**3 + 69*l**2 + 7*l**4 + o*l**2 = 0. What is l?
-2/7, 1, 2
Determine z so that -88*z + 1269 - 315 - 36*z + 2*z**2 = 0.
9, 53
Let y(l) be the first derivative of l**4/18 - 56*l**3/27 + 7*l**2/3 + 36*l - 7583. Suppose y(u) = 0. Calculate u.
-2, 3, 27
Let -4/9*d**5 - 64/9*d + 8/3*d**3 - 128/3 + 200/9*d**2 - 22/9*d**4 = 0. Calculate d.
-4, -3/2, 2
Factor f**4 + 4*f**2 + 5*f**3 - 49*f**2 - 44*f**3 + 9*f**2 + 11*f**4.
3*f**2*(f - 4)*(4*f + 3)
Let d be ((-2)/(-2))/(((-10)/6)/((-335)/67)). Let v(l) be the first derivative of 1/9*l**d + 7/6*l**2 - 4 + 2*l. Factor v(q).
(q + 1)*(q + 6)/3
Let f(s) = 3*s**3 + 14*s**2 + 13*s - 34. Let r(t) = -11 + t**2 + 4*t + 12 + 0*t - 5*t. Let l(y) = f(y) + 4*r(y). Factor l(a).
3*(a - 1)*(a + 2)*(a + 5)
Let j(g) be the third derivative of 0*g - 5/18*g**4 - 129*g**2 + 1/30*g**5 + 17/360*g**6 + 0 - 4/9*g**3 + 1/126*g**7. What is v in j(v) = 0?
-2, -2/5, 1
Let p(n) = n**3 + 2*n**2 - n + 5. Let h be p(0). Suppose -l - 2*o = 4, h*o = -3*l + 6*l - 21. Factor 10*b - 26*b**3 - l*b - 157*b**4 + 147*b**4 - 8*b**2.
-2*b*(b + 1)*(b + 2)*(5*b - 2)
Suppose 10155 + 2841 = 1444*k. Factor -1/4 + k*p - 81*p**2.
-(18*p - 1)**2/4
Let d be (-180 - -194) + 40/(-4). Let 0*f**2 - f**3 + 0 + 0*f - 1/5*f**d = 0. What is f?
-5, 0
Suppose 837*h + 108 = 873*h. Let v(g) be the first derivative of 245*g + 35*g**2 + 5/3*g**h - 13. Suppose v(b) = 0. What is b?
-7
Let y be 154/2541 + 90/330. Factor 0*z + 0*z**3 + 0 - 1/3*z**4 + y*z**2.
-z**2*(z - 1)*(z + 1)/3
Suppose r - 2*l - 15 = 0, -35 = -3*r + l + 3*l. Suppose 0 = -3*p - j + r, -3*p - 8 + 15 = -j. Find s, given that 0*s**3 + 8/3*s**p - 2/3*s**4 + 0 + 0*s = 0.
-2, 0, 2
Let v(o) be the third derivative of -o**6/480 + 11*o**5/240 + 147*o**4/32 + 783*o**3/8 - 58*o**2 + 34*o. Suppose v(r) = 0. What is r?
-9, 29
Solve -13/8*t**4 + 71/2*t**3 + 0 - 21/4*t - 229/8*t**2 = 0.
-2/13, 0, 1, 21
Let m(j) be the third derivative of -j**6/60 + 14*j**5/45 - 47*j**4/36 + 22*j**3/9 + 1107*j**2. What is g in m(g) = 0?
1, 22/3
Let 2*a + 22*a + a**3 + 20*a**2 + 12*a**3 - 9*a**3 = 0. What is a?
-3, -2, 0
Let g = -8122/5 - -16319/10. Factor 3*h**5 + 6*h**3 + 3/2*h**2 + 0*h + g*h**4 + 0.
3*h**2*(h + 1)**2*(2*h + 1)/2
Let q(n) be the third derivative of n**6/120 - 427*n**5/60 + 5777*n**4/3 - 22472*n**3 + 2*n**2 + 12*n + 121. Find c, given that q(c) = 0.
3, 212
Factor 3*i**3 + 0 - 45/4*i**2 + 25/2*i - 1/4*i**4.
-i*(i - 5)**2*(i - 2)/4
Let p(m) = m - 15. Let y be p(-9). Let g be (4 - 4)*(-3)/(y/4). Solve 1/3*b**4 + g*b**2 + 0*b + 2/3*b**3 + 0 = 0 for b.
-2, 0
Suppose 47*b - 51*b = 280. Let d = b + 72. Factor -1/5*m**d - 5 + 2*m.
-(m - 5)**2/5
Let s(y) be the third derivative of -1/630*y**7 + 0*y - 1/80*y**6 - 23*y**2 - 1/36*y**5 - 1/48*y**4 + 0*y**3 + 1. Factor s(z).
-z*(z + 1)*(z + 3)*(2*z + 1)/6
Let k(n) = -n**2 + 19*n - 233. Let g(l) = l + 21. Let x(z) = -5*g(z) - k(z). Factor x(h).
(h - 16)*(h - 8)
Let i(g) = -101*g**2 - 423*g - 1771. Let o(n) = 728*n**2 + 2960*n + 12396. Let c(b) = -36*i(b) - 5*o(b). Let c(a) = 0. What is a?
-4, 111
Suppose 106/11 - 2/11*b**2 - 104/11*b = 0. What is b?
-53, 1
Suppose -6*j - 92 = -104. Factor -62*p**j + 33*p**3 + 0*p**3 - 12*p**4 + 7*p**3 + 94*p**2.
-4*p**2*(p - 4)*(3*p + 2)
Factor 5321*s**2 + 127*s - 20*s - 5397*s**2 + 153*s + 4*s**4 - 20*s**3 + 600.
4*(s - 5)**2*(s + 2)*(s + 3)
Factor 20*t**3 + 69931566 - 1339*t**2 + 20*t**3 - 60*t**3 + 641574*t + 22*t**3 + 3301*t**2.
2*(t + 327)**3
Let x(d) be the third derivative of d**5/120 + 17*d**4/12 + 64*d**3/3 - 6*d**2 + 50*d + 5. Factor x(s).
(s + 4)*(s + 64)/2
Let k(z) be the third derivative of -z**8/84 - 2*z**7/105 + z**6/5 - 2*z**5/15 - 5*z**4/6 + 2*z**3 - 970*z**2. Factor k(q).
-4*(q - 1)**3*(q + 1)*(q + 3)
Let n(r) = 2*r + 1. Let q(f) = -5*f**4 + 45*f**3 - 120*f**2 + 92*f + 6. Let u be (24/(-30))/(-2 + 32/15). Let g(v) = u*n(v) + q(v). Let g(j) = 0. What is j?
0, 1, 4
Suppose 52 + 58 = 1405*y - 1383*y. Find o, given that -1/7*o**y + 2/7*o - 3/7*o**4 + 0 + 3/7*o**2 - 1/7*o**3 = 0.
-2, -1, 0, 1
Let j be ((-1836)/(-156) - 12)*832/(-96). Solve -3/4*g + 3/4*g**j + 0 = 0 for g.
0, 1
Suppose 3*p - 126*p**3 - 208*p**2 + 122*p**3 - 3*p = 0. What is p?
-52, 0
Let v = -1498326 + 1498328. Factor 0 + 2/7*o - 2/7*o**4 + 2/7*o**v - 2/7*o**3.
-2*o*(o - 1)*(o + 1)**2/7
Let j(t) be the second derivative of 1/90*t**5 + 0*t**2 + 1/6*t**4 + 0 + 14/27*t**3 - 253*t. Factor j(y).
2*y*(y + 2)*(y + 7)/9
Let j(h) be the second derivative of h**4/3 + 74*h**3/3 + 264*h**2 + 11*h + 31. Factor j(n).
4*(n + 4)*(n + 33)
Let a(b) = b**4 + b**3 - b**2 + b + 1. Let q(m) = 2*m**5 + 14*m**4 + 14*m**3 - 2*m**2 + 4*m + 22. Let j = -4 + 2. Let i(z) = j*q(z) + 36*a(z). Factor i(v).
-4*(v - 1)**4*(v + 2)
Let b(a) be the first derivative of -a**4/26 + 82*a**3/3 + 3225*a**2/13 + 9702*a/13 + 8388. Factor b(f).
-2*(f - 539)*(f + 3)**2/13
Let h = 7109/354 - 2055/118. Let 0 + 1/3*s + h*s**2 - 19/3*s**3 + 10/3*s**4 = 0. What is s?
-1/10, 0, 1
Suppose -554 = -157*j - 83. Let b(q) be the first derivative of 22 - 2/27*q**6 + 1/3*q**2 + 0*q - 1/18*q**4 + 14/27*q**j - 14/45*q**5. Solve b(x) = 0.
-3, -1, -1/2, 0, 1
Suppose 1539 = -3*k - 3*f, -f = -5*f. Let r = 729 + k. What is u in -10*u - 48*u**5 + 6 - 242*u**3 + r*u**4 + 228*u**2 - 53*u - 97*u**3 = 0?
1/4, 1, 2
Find w such that 256/7 + 2/7*w**2 - 48/7*w = 0.
8, 16
Let u(h) be the third derivative of -11*h**7/70 + 171*h**6/40 + 43*h**5/10 - 12*h**4 - 33*h**2 + h + 3. Find k such that u(k) = 0.
-1, 0, 6/11, 16
Suppose 13*m - 45 = 4*m. Let -13*f**3 - 8 - 31 + 8*f**3 + 110*f + 25*f**4 - 1 - 5*f**m - 85*f**2 = 0. Calculate f.
-2, 1, 4
Let a(v) be the first derivative of -v**8/840 + v**7/140 - 4*v**3/3 + 2*v + 20. Let z(m) be the third derivative of a(m). Factor z(j).
-2*j**3*(j - 3)
Let g be 1 + 0 - ((-2)/14)/(306/(-714)). Let c(r) be the first derivative of -g*r + 2/15*r**5 - 1/3*r**4 + 2/3*r**2 - 16 + 0*r**3. Solve c(x) = 0 for x.
-1, 1
Let l(o) = -33*o - 6068. Let r be l(-184). Let u(w) be the first derivative of -1/9*w**r - 4/3*w**2 - 20/27*w**3 + 46 + 0*w. Let u(a) = 0. What is a?
-3, -2, 0
Suppose -266*m - 73*m = -1695. Let a(u) be the second derivative of 18*u + 4/15*u**3 + 0*u**2 + 0*u**4 - 1/50*u**m + 0. Factor a(w).
-2*w*(w - 2)*(w + 2)/5
Factor 1/4*c**4 + 640 + 368*c + 78*c**2 + 29/4*c**3.
(c + 5)*(c + 8)**3/4
Let w(o) be the first derivative of -4*o**3/3 - 184*o**2 - 3162. Factor w(l).
-4*l*(l + 92)
Let d = 660 - 656. Suppose 4*q - 8 = 0, -21 = -d*v - 5*q - 3. Factor 18/5*u**v + 0 + 3/5*u**3 + 24/5*u.
3*u*(u + 2)*(u + 4)/5
Let a = 6597/14462 - 57/2066. Factor -a*b**2 - 84 + 12*b.
-3*(b - 14)**2/7
Suppose -3*q + 9*a - 12*a = -744, q + 3*a = 258. Factor -3855*f + q + 13 + 68*f**2 + 4175*f + 4*f**3.
4*(f + 1)*(f + 8)**2
Factor -710 + 1390 - 4*y**3 + 4*y + 20*y**2 - 700.
-4*(y - 5)*(y - 1)*(y + 1)
Let z(n) be the third derivative of n**6/360 - 15*n**5/4 + 16875*n**4/8 - 1265625*n**3/2 + 868*n**2. Factor z(l).
(l - 225)**3/3
Let j be (5 - 29)/4 - -9. Factor -2 + 3 + 8 + 9 - 21*u**2 - j*u.
-3*(u + 1)*(7*u - 6)
Let p(k) be the third derivati