that -2/7*r**5 + 6/7*r**2 + 4/7*r - 2/7*r**3 - h*r**4 + 0 = 0.
-2, -1, 0, 1
Suppose -m - m + 232 = o, 0 = 4*o + 5*m - 934. Factor o*x**2 - 236*x**2 + 2*x**3 + 16*x - 6*x**3.
-4*x*(x - 2)*(x + 2)
Let c(y) = y**2 + 13*y + 21. Let o be c(-11). Let q be 5 + -4 - ((-8)/(-6))/o. Factor 0 - 2/3*j - q*j**4 + 2/3*j**3 + 7/3*j**2.
-j*(j - 1)*(j + 1)*(7*j - 2)/3
Solve 135/4*x**4 + 6 + 381/4*x**2 + 171/4*x + 357/4*x**3 + 3*x**5 = 0 for x.
-8, -1, -1/4
Determine c so that -776/3*c + 4/3*c**2 + 37636/3 = 0.
97
Let x(q) be the first derivative of 3*q**4/16 - 9*q**3/2 - 63*q**2/2 - 66*q + 202. Factor x(l).
3*(l - 22)*(l + 2)**2/4
Let l(u) be the first derivative of -u**5/30 + u**3/3 - 2*u**2 - 7. Let d(h) be the second derivative of l(h). Factor d(x).
-2*(x - 1)*(x + 1)
Suppose 0 = -5*o - 30, 2*y + 5*o + 18 = -12. What is t in -2/3*t**5 - 2/3*t**4 + 0*t**3 + 0 + y*t + 0*t**2 = 0?
-1, 0
Suppose 8/3 + 1/3*n**2 - 3*n = 0. What is n?
1, 8
Determine s so that -46255/4*s + 1175/2*s**3 + 9715/2*s**2 + 1/4*s**5 + 85/4*s**4 + 24389/4 = 0.
-29, 1
Let c(p) be the second derivative of p**6/40 + p**5/16 - 7*p**4/32 - p**3/4 - 11*p**2 - 9*p. Let x(b) be the first derivative of c(b). Factor x(q).
3*(q - 1)*(q + 2)*(4*q + 1)/4
Let k = 82 + -80. Factor 14*y**3 - 32 - y - 24*y**k - 11*y - 108*y.
2*(y - 4)*(y + 2)*(7*y + 2)
Let a = 815/132 + -67/11. Let c(g) be the first derivative of -11 - a*g**3 + 1/8*g**2 + 1/2*g. Solve c(t) = 0.
-1, 2
Let z be (-2 + 4)/(10/15). Suppose a + y - z = 1, -4*a + 11 = -y. Let -204*d**5 + 0*d**2 + a*d**2 - 3*d**4 + 201*d**5 + 3*d**3 = 0. What is d?
-1, 0, 1
Factor 4*d**3 - 2 - 2*d**2 + 2 - 57*d**4 + 59*d**4 - 4*d.
2*d*(d - 1)*(d + 1)*(d + 2)
Let g(n) be the second derivative of -9/2*n**2 + 7/8*n**4 - 1/4*n**3 - 1/20*n**6 + 8*n + 0 + 3/40*n**5. What is h in g(h) = 0?
-2, -1, 1, 3
Let k(a) = -3*a**4 + 10*a**3 + 2*a**2 - 13*a. Let g(d) = d**4 + 2*d**3 + d. Let m(z) = -2*g(z) - 2*k(z). Factor m(q).
4*q*(q - 6)*(q - 1)*(q + 1)
Let p(k) be the second derivative of 1/25*k**5 + 1/12*k**4 + 0 + 37*k + 0*k**2 + 1/15*k**3 + 1/150*k**6. Factor p(t).
t*(t + 1)**2*(t + 2)/5
Let z be (-182)/(-12)*(-200)/(-175). Let b(f) be the first derivative of -z*f**3 + 30*f**2 + 1 - 8*f. Factor b(g).
-4*(g - 1)*(13*g - 2)
Let r be -3*(-8)/(-24) + (-180)/(-150). Factor -1/5*l + 1/5 - 1/5*l**2 + r*l**3.
(l - 1)**2*(l + 1)/5
Let q be 38/28 + 1/(-2). Suppose 19*d = 32*d - 39. Solve -6/7*i - q*i**2 - 2/7 - 2/7*i**d = 0 for i.
-1
Suppose 5*x = 3*u - 15, 2*u - 2*x - 8 - 2 = 0. Let r(t) be the first derivative of 0*t + 3*t**2 + u*t**3 + 2 + 9/4*t**4 - 3/5*t**5 - 1/2*t**6. Factor r(h).
-3*h*(h - 2)*(h + 1)**3
Let l(r) be the third derivative of r**5/330 - 35*r**4/66 + 1225*r**3/33 + 15*r**2. Factor l(o).
2*(o - 35)**2/11
Let l(m) be the second derivative of 9*m**6/5 + 81*m**5/10 + 15*m**4 + 44*m**3/3 + 8*m**2 - 23*m + 2. Factor l(x).
2*(x + 1)*(3*x + 2)**3
Let z = -9 - -11. Suppose -6*m**3 - 9*m**2 + 3*m**4 + 9*m**2 + 6*m - 3*m**z = 0. Calculate m.
-1, 0, 1, 2
Let q(c) be the third derivative of 0*c**4 + 4*c**2 + 4/735*c**7 + 0*c**3 + 0*c + 1/105*c**5 - 1/1176*c**8 + 0 - 1/84*c**6. Factor q(y).
-2*y**2*(y - 2)*(y - 1)**2/7
Let l(f) be the first derivative of -5*f**6/6 - 4*f**5 + 5*f**4/2 + 20*f**3 - 45*f**2/2 + 511. Suppose l(k) = 0. What is k?
-3, 0, 1
Let x be 41/(-6) - (-4)/16*28. Let s(l) be the second derivative of 7*l + 0*l**2 - x*l**3 + 1/6*l**4 - 1/20*l**5 + 0. Factor s(q).
-q*(q - 1)**2
Let u(k) be the second derivative of k**6/40 + 2*k**5/5 - k**4/8 - 4*k**3 + 9*k**2/2 + 20*k. Let q(x) be the first derivative of u(x). Factor q(z).
3*(z - 1)*(z + 1)*(z + 8)
Factor -20*z - 82*z**5 + 174*z**5 - 40*z**2 - 15*z**3 - 87*z**5 + 10*z**4.
5*z*(z - 2)*(z + 1)**2*(z + 2)
Let s(r) = -3*r**2 - 173*r - 2357. Let i(g) = -3*g**2 - 172*g - 2356. Let n(j) = -5*i(j) + 4*s(j). Factor n(m).
3*(m + 28)**2
Let v(i) be the third derivative of i**8/504 + 2*i**7/105 + 7*i**6/90 + 8*i**5/45 + i**4/4 + 2*i**3/9 - 139*i**2. Factor v(c).
2*(c + 1)**4*(c + 2)/3
Suppose 12 - 3 = 3*y. Let r(b) = -3*b**4 - 6*b**3 + 3. Let j(v) = 1. Let h(n) = y*j(n) - r(n). Suppose h(g) = 0. Calculate g.
-2, 0
Let z = 19717187/203690 - -1/40738. Factor 288/5*d + 0 + 240*d**2 + z*d**4 + 1496/5*d**3.
4*d*(d + 2)*(11*d + 6)**2/5
Let n(r) be the second derivative of -r**4/36 + 17*r**3/18 - 5*r**2 + 220*r. Suppose n(k) = 0. Calculate k.
2, 15
Let x = 655 + -655. Let t(f) be the third derivative of 0*f**3 - 8*f**2 + 0*f + 0*f**6 + 1/336*f**8 + x*f**5 + 0*f**4 + 0 + 0*f**7. Find w, given that t(w) = 0.
0
Let f(z) be the first derivative of 6*z**5/5 + 9*z**4/8 - z**3/2 + 26. Let f(c) = 0. Calculate c.
-1, 0, 1/4
Let t(v) be the first derivative of 3*v**4/32 - v**3/8 - 9*v**2/8 + 80. Factor t(z).
3*z*(z - 3)*(z + 2)/8
Let n(k) = k**3 + 24*k**2 - 21*k + 806. Let b be n(-26). What is d in 9/2*d + b - 3/2*d**3 - 3*d**2 = 0?
-3, 0, 1
Let i be (93/(558/60))/((-7)/(-4)). Solve -16/7*j**2 - 156/7*j + i = 0 for j.
-10, 1/4
Let a(u) be the third derivative of -u**5/30 - u**4/2 + 7*u**3/3 + 78*u**2. Let a(c) = 0. Calculate c.
-7, 1
Let o(r) be the first derivative of -3*r**4/4 - 12*r**3 - 87*r**2/2 - 54*r + 238. Factor o(i).
-3*(i + 1)*(i + 2)*(i + 9)
Let j(v) be the second derivative of v**4/4 + 10*v**3 + 150*v**2 + 2*v + 59. Factor j(h).
3*(h + 10)**2
Let x(m) be the third derivative of m**8/10080 + m**7/420 - m**5/5 + 25*m**2. Let i(s) be the third derivative of x(s). Determine t, given that i(t) = 0.
-6, 0
Let p(k) be the third derivative of k**5/15 + 11*k**4/6 + 56*k**3/3 - 286*k**2. Factor p(u).
4*(u + 4)*(u + 7)
Let d(f) be the second derivative of -f**7/357 - f**6/51 - 9*f**5/170 - 7*f**4/102 - 2*f**3/51 - 87*f. Factor d(w).
-2*w*(w + 1)**3*(w + 2)/17
Let v be 266/380*(-78)/(-91). Suppose 5*s = s. Suppose 3/5*o**2 + v*o + s = 0. Calculate o.
-1, 0
Suppose 428 = 5*o + 2*t + 406, -3*o + 2*t - 6 = 0. What is s in -1/4*s**3 + 3/4*s - 1/2 + 0*s**o = 0?
-2, 1
Let w(d) = -d**2 + 6*d - 6. Suppose p + 1 = 3*o - 3, -4*p + 8 = -4*o. Let u(t) = 2*t**2 - 12*t + 13. Let k(b) = p*w(b) + 3*u(b). Find m, given that k(m) = 0.
3
Suppose h + 3447*j - 3 = 3451*j, 3*h - 4*j - 9 = 0. Determine p, given that -1/6*p**5 + 1/6*p**4 + 0*p**2 + 0*p + 1/3*p**h + 0 = 0.
-1, 0, 2
Suppose 5*o - 358 = r - 343, 0 = 4*o - 12. Let s = -20 + 62/3. Let -2/3*t**3 + 4/3*t**2 - s*t + r = 0. Calculate t.
0, 1
Suppose 0 = -v + 2*w + 6, -3*v + 4*w - 5*w = -11. Let r(k) be the second derivative of -k**2 + 0 - 1/12*k**v + 1/2*k**3 - 2*k. Factor r(s).
-(s - 2)*(s - 1)
Suppose 317 = -13*b + 369. Find t, given that 1/3*t**3 + 0*t**2 + 0 - 1/3*t**b + 0*t = 0.
0, 1
Let d = -9869/120 - -329/4. Let i(k) be the second derivative of -1/72*k**4 + 1/180*k**6 + 0 + 1/36*k**3 + 0*k**2 - 2*k - d*k**5. Factor i(t).
t*(t - 1)**2*(t + 1)/6
Factor 0 - 1/2*a**3 - 3/2*a**2 - a.
-a*(a + 1)*(a + 2)/2
Let h(c) be the third derivative of -c**7/140 + 7*c**6/120 - c**5/24 - 7*c**4/24 + 2*c**3/3 - 224*c**2. Suppose h(m) = 0. Calculate m.
-1, 2/3, 1, 4
Let x(i) be the third derivative of -i**7/945 - 31*i**6/540 - 14*i**5/135 + 5*i**4/9 + 733*i**2. Suppose x(y) = 0. Calculate y.
-30, -2, 0, 1
Let s be (0 + (-8)/(-180))/(9/162). Solve -2/5 - c + s*c**2 + 3/5*c**3 = 0.
-2, -1/3, 1
Let b(q) be the third derivative of -q**10/453600 - q**9/90720 - q**8/60480 + 11*q**5/60 - 2*q**2. Let x(h) be the third derivative of b(h). Factor x(l).
-l**2*(l + 1)**2/3
Let o(k) = 7*k**2 - k + 1. Let q be o(1). Suppose d = -q*d - 0*d. Factor -2/7*n**3 + 2/7*n**2 + 0 + d*n.
-2*n**2*(n - 1)/7
Let z(r) be the second derivative of -r**4/78 - 2*r**3/39 + 60*r. What is v in z(v) = 0?
-2, 0
Determine r, given that 1/5*r**3 + 1/5*r**4 - 1/5*r - 3/5*r**2 + 2/5 = 0.
-2, -1, 1
Let c(a) be the third derivative of -a**10/378000 - a**9/151200 + a**8/25200 - 3*a**5/20 - 4*a**2. Let z(g) be the third derivative of c(g). Factor z(r).
-2*r**2*(r - 1)*(r + 2)/5
Let q(h) = -2*h - 1. Let p(z) = -z. Let v(u) = 3*p(u) - q(u). Let f be v(-1). Factor -13*w**f + 3*w**4 + 4*w**4 - 6*w - 4*w**4 + 4*w**2.
3*w*(w - 2)*(w + 1)**2
Let b = 51/1960 - 1/980. Let q(c) be the third derivative of -6*c**2 - 1/300*c**5 + 0 + 0*c - 1/15*c**3 - b*c**4. Find n, given that q(n) = 0.
-2, -1
Let 3/7 + 1/7*l**3 + l + 5/7*l**2 = 0. Calculate l.
-3, -1
Let l(c) be the secon