) = i**2 - 6*i - 20. Let c be w(9). Suppose 3*h**3 + 8*h - c*h**2 - h**4 + 10*h**3 - 5*h**2 - 7*h**3 = 0. Calculate h.
0, 2
Let m(s) be the second derivative of s**8/1680 - s**7/630 - s**6/90 - 7*s**4/4 - 16*s. Let z(r) be the third derivative of m(r). Factor z(y).
4*y*(y - 2)*(y + 1)
Factor -2*m - 53 - 17 + m + 5*m**2 - 4*m**2 + 10*m.
(m - 5)*(m + 14)
Let b = 4426 - 26555/6. Factor 1/2*y + b*y**4 - 1/3 + 1/6*y**2 - 1/2*y**3.
(y - 2)*(y - 1)**2*(y + 1)/6
Let v(d) be the first derivative of -8/11*d - 5/22*d**4 + 2/55*d**5 + 8/11*d**2 - 12 + 1/33*d**6 - 2/33*d**3. Find s such that v(s) = 0.
-2, 1
Let r(c) be the first derivative of 257*c**3 - 18 - 3*c**4 - 1 - 258*c**3. Factor r(b).
-3*b**2*(4*b + 1)
Let d(c) be the third derivative of 2*c**7/105 - c**6/15 - 4*c**5/15 + c**4/3 + 2*c**3 + 98*c**2. Factor d(a).
4*(a - 3)*(a - 1)*(a + 1)**2
Suppose x = 4 - 3. Factor -x - 24*h**3 + 45*h - 5*h + 164*h**3 + 110*h**2 + 20*h**5 + 6 + 85*h**4.
5*(h + 1)**4*(4*h + 1)
Let s(o) be the first derivative of o**2/2 + 13*o - 8. Let c be s(-6). Solve -24 + 6*m**2 - 3*m**4 + c + 14 = 0 for m.
-1, 1
Let b(k) = -k**2 + 7*k + 98. Let w be b(14). Let c = -44 - -310/7. Solve w + c*g + 2/7*g**2 = 0.
-1, 0
Let j = -4 + 6. Let m(w) = -52*w - 404. Let g be m(-9). Factor -62*a - 12*a + g*a**j + 36 - 22*a.
4*(4*a - 3)**2
Let u(z) be the second derivative of -z**5/4 - 35*z**4/12 - 25*z**3/2 - 45*z**2/2 - 73*z - 2. Let u(b) = 0. What is b?
-3, -1
What is m in -10/3*m**3 + 8/9*m**4 - 64/9*m**2 + 20/9 + 22/3*m = 0?
-2, -1/4, 1, 5
Let m(r) = -5*r**2 - r + 4. Suppose 4 = 2*t - 4*g - 270, 0 = 5*t - 3*g - 650. Let y(u) = -3 - 127*u + t*u + 4*u**2. Let l(b) = -3*m(b) - 4*y(b). Factor l(c).
-c*(c - 3)
Let 4/5*y**5 - 3456/5 + 32*y**3 - 1728/5*y - 56/5*y**4 + 576/5*y**2 = 0. What is y?
-2, 6
Factor 8/13*i**2 + 4/13 + 2/13*i**3 + 10/13*i.
2*(i + 1)**2*(i + 2)/13
Let -1/8*v - 1/8 + 1/8*v**2 + 1/8*v**3 = 0. Calculate v.
-1, 1
Suppose -3*w - 3*w + 42 = 0. Solve w*r**2 + 3*r**2 + 8*r - 3*r**2 - 3*r**2 = 0.
-2, 0
Let w(h) be the second derivative of 0 + 0*h**5 + 37*h - 1/7*h**4 + 8/105*h**6 + 0*h**2 - 2/21*h**3. Suppose w(m) = 0. What is m?
-1/2, 0, 1
Factor 11/3*a**2 - 1/3*a**3 + 16/3*a - 320/3.
-(a - 8)**2*(a + 5)/3
Let i(g) be the third derivative of -g**8/504 - 8*g**7/315 - 2*g**6/45 + 16*g**5/45 + 4*g**4/3 + 125*g**2. What is s in i(s) = 0?
-6, -2, 0, 2
Suppose 40*p - 62*p - 22 = 0. Let j be (p + (-29)/(-26))/((-12)/(-16)). Solve -4/13 - 2/13*g**4 + 6/13*g**2 - j*g**3 + 2/13*g = 0 for g.
-2, -1, 1
Let c(s) be the second derivative of 2/21*s**7 - 4*s + 0*s**5 - 2/3*s**3 + 0 - 2/3*s**4 + 4/15*s**6 + 0*s**2. Let c(x) = 0. Calculate x.
-1, 0, 1
Let z(g) be the third derivative of 2*g**7/105 + g**6/3 - 11*g**5/15 + 360*g**2. Factor z(b).
4*b**2*(b - 1)*(b + 11)
Let x(z) = -172 - 8*z**2 + 4*z**2 - z + 10*z + 17*z. Let p(m) = -9*m**2 + 52*m - 345. Let d(j) = 3*p(j) - 7*x(j). Factor d(r).
(r - 13)**2
Let i(d) be the first derivative of 2*d**6/3 - 17*d**5/5 - 4*d**4 + 5*d**3/3 - 341. Factor i(s).
s**2*(s - 5)*(s + 1)*(4*s - 1)
Let h(j) be the third derivative of j**6/45 + j**5/90 + 2*j**2 + 7. Factor h(z).
2*z**2*(4*z + 1)/3
Let f(j) be the third derivative of j**8/10080 - j**7/840 + 3*j**5/20 - 4*j**2. Let s(z) be the third derivative of f(z). Factor s(k).
2*k*(k - 3)
Let q(w) be the third derivative of 125*w**8/168 - 1780*w**7/21 + 32737*w**6/12 - 93979*w**5/15 + 18515*w**4/3 - 9800*w**3/3 + 47*w**2. Factor q(k).
2*(k - 35)**2*(5*k - 2)**3
Suppose 3*q + q - 12 = 0. Suppose 4*d + 0*d - 70 = -2*x, -q*d + 3*x = -39. Factor -8*z + d*z**3 + 2*z + 9*z**4 - 4*z**3 - 3*z**2.
3*z*(z + 1)**2*(3*z - 2)
Let t be 169/195 + (4 - 9)/25. Factor -t*r**2 - 2/3 - 4/3*r.
-2*(r + 1)**2/3
Let p(d) = -12*d - 129. Let i be p(-11). Let x(o) be the second derivative of 1/54*o**4 - 2/27*o**i + 0 + 2*o + 0*o**2. Factor x(c).
2*c*(c - 2)/9
Let k be 11/(-18)*-1*(-260)/(-715). Let k*t**4 + 10/9*t**2 + 0 + 8/9*t**3 + 4/9*t = 0. Calculate t.
-2, -1, 0
Factor 2/3*u**5 + 8/3*u**2 + 8/3*u**4 + 0 + 4*u**3 + 2/3*u.
2*u*(u + 1)**4/3
Let s(t) = 4*t - 3. Let x(q) = -5*q + 3. Let y(k) = 4*s(k) + 3*x(k). Let g be y(5). Factor -8/3*m - 8/3 - 2/3*m**g.
-2*(m + 2)**2/3
Let m(x) = -9*x + 459. Let b be m(51). Factor 3/2*s**2 - 1/2*s**3 + 1/2*s**5 - 3/2*s**4 + b + 0*s.
s**2*(s - 3)*(s - 1)*(s + 1)/2
Let f = 250437124/390166557 + 1/1074839. Let x = f + 3/121. Factor 0*v + x*v**4 + 0*v**2 - 2/3*v**3 + 0.
2*v**3*(v - 1)/3
Let h be -3 + 6/8*2630/825. Let z = -6/55 - h. Factor -p**2 + 0*p**4 + 1 - 3/2*p + 2*p**3 - z*p**5.
-(p - 1)**3*(p + 1)*(p + 2)/2
Let i(a) be the second derivative of 1/24*a**3 + 1/4*a**2 - a + 0 - 1/80*a**5 - 1/24*a**4. What is q in i(q) = 0?
-2, -1, 1
Let g(s) be the third derivative of -s**6/5 + 49*s**5/30 - 10*s**4/3 + s**3 - 53*s**2 - 6. What is j in g(j) = 0?
1/12, 1, 3
Let p be (11/33)/(111/36 - 3). Suppose -m + 9/2*m**2 + 5/2*m**p - 6*m**3 + 0 = 0. Calculate m.
0, 2/5, 1
Let g(y) be the first derivative of -4*y**5/5 + 8*y**4 - 52*y**3/3 - 60*y**2 + 288*y + 211. Suppose g(r) = 0. What is r?
-2, 3, 4
Let o(m) be the second derivative of -5/9*m**4 + 1/21*m**7 + 1/3*m**3 - 1/9*m**2 + 18*m - 11/45*m**6 + 23/45*m**5 + 0. Solve o(c) = 0.
1/3, 1
Suppose 120*u - 269 - 235 = -48*u. Let r = 16/57 + 1/19. What is o in 1/3*o + 1/3*o**4 - 1/3*o**u + 0 - r*o**2 = 0?
-1, 0, 1
Let n(l) = -l**3 + 1. Let p(b) = 7*b - 8*b + b**2 + 29 - 23 - 6*b**3. Let k(h) = -28*n(h) + 4*p(h). Find f, given that k(f) = 0.
-1, 1
Let a(m) be the third derivative of -m**8/336 + 3*m**7/70 - 11*m**6/120 - 7*m**5/20 - 254*m**2. Find t, given that a(t) = 0.
-1, 0, 3, 7
Let g(r) be the second derivative of r**5/20 + r**4/6 + r**3/6 + 3*r + 42. Factor g(y).
y*(y + 1)**2
Let m = 260 + -260. Let d(q) be the first derivative of 5 + 1/6*q**6 + 2/3*q**3 + 0*q**2 + 0*q**5 - 3/4*q**4 + m*q. Factor d(j).
j**2*(j - 1)**2*(j + 2)
Suppose -593*m**2 - 138*m**4 + 104*m**2 + 468*m**3 + 36 - 15*m**5 + 63*m**2 + 75*m = 0. What is m?
-12, -1/5, 1
Let r(g) = 25*g**4 - 15*g**3 - 30*g**2 - 40*g - 10. Let z(x) = -2*x**4 + x**3 - 2*x**2 + 1. Let v(i) = -r(i) - 10*z(i). Factor v(t).
-5*t*(t - 4)*(t + 1)*(t + 2)
What is d in -2723 + 470*d**2 - 15*d**3 - 789*d + 163 - 2731*d = 0?
-2/3, 16
Let a(z) = z**3 + z - 1. Let g(o) = -2*o**3 + 12*o**2 + 4*o + 5. Suppose -5*q = -k + 5 - 1, 2*k = 2*q. Let l(d) = q*g(d) - 5*a(d). Factor l(w).
-3*w*(w + 1)*(w + 3)
Let b(x) be the first derivative of 3*x**5/35 + 3*x**4/7 + 4*x**3/7 - 105. Determine k, given that b(k) = 0.
-2, 0
Let d = 2 + 0. Suppose -4*s = 4*h - 0*s + 16, 4*s = -d*h - 18. Factor -36*p - p**2 + 72*p - 34*p - h.
-(p - 1)**2
What is b in -1/2*b**2 - 1/4*b**5 + 0 + 1/2*b**4 - 3/4*b + b**3 = 0?
-1, 0, 1, 3
Let q be (-21)/(1890/(-156)) - (2 + (-16)/10). Factor q*b + 4/3*b**2 - 8/3.
4*(b - 1)*(b + 2)/3
Let n(p) be the third derivative of 3*p**2 + 0*p + 5/8*p**4 - 3/40*p**6 - 3*p**3 + 0 + 2/5*p**5. Determine l, given that n(l) = 0.
-1, 2/3, 3
Let w = 18692/7 - 2670. Let -1/7 - 2/7*a**3 + w*a + 1/7*a**4 + 0*a**2 = 0. Calculate a.
-1, 1
Let h(v) be the first derivative of 2*v**7/147 + v**6/21 + 2*v**5/35 + v**4/42 + 3*v - 9. Let u(a) be the first derivative of h(a). Factor u(r).
2*r**2*(r + 1)**2*(2*r + 1)/7
Factor -1/4*j**3 + 0*j + 1 - 3/4*j**2.
-(j - 1)*(j + 2)**2/4
Suppose 12 = -2*o + 5*m, -3*o - 4*m + 11 + 17 = 0. Factor 0*c + 4*c**2 - 6*c**2 - o*c + 4*c**3 - 2*c**3.
2*c*(c - 2)*(c + 1)
Let h(t) = 3*t - 1. Suppose 4 = 5*v - 6. Let m be h(v). Factor -3*f**2 - 7*f + 15*f - m*f.
-3*f*(f - 1)
Let m = 259 - -35. Factor -3*d**2 + m - 9*d + 3*d**4 - 294 + 9*d**3.
3*d*(d - 1)*(d + 1)*(d + 3)
Let d(h) be the first derivative of -4*h**3/27 + 40*h**2/3 - 464*h/9 - 912. Determine b, given that d(b) = 0.
2, 58
Let x(c) be the third derivative of c**6/180 - c**5/45 - 23*c**4/36 + 20*c**3/3 - 279*c**2. Factor x(g).
2*(g - 4)*(g - 3)*(g + 5)/3
Let i(b) be the third derivative of -b**9/15120 - b**8/4200 + b**3/6 - 12*b**2. Let f(h) be the first derivative of i(h). Factor f(x).
-x**4*(x + 2)/5
Let a(d) be the third derivative of -d**6/24 - 19*d**5/20 + 19*d**4/12 + 4*d**3 + 39*d**2 - 3*d. What is k in a(k) = 0?
-12, -2/5, 1
Let t(w) be the first derivative of -w**4/2 - 38*w**3/3 - 48*w**2 - 831. Factor t(b).
-2*b*(b + 3)*(b + 16)
Let l(y) be the third de