*4/8 + 11*a**3/2 + 201*a**2. Factor d(u).
-3*(u - 1)**3*(u + 1)*(u + 11)
Let g = -6 - -24. Let p be (8/g)/(34/153). Solve -11 + 7*s - 3*s**2 + 26 + p*s + 3*s = 0 for s.
-1, 5
Let b(k) be the second derivative of -k**6/210 - k**5/7 + 23*k**4/28 - 2*k**3/21 - 46*k**2/7 + 29*k - 81. Let b(c) = 0. What is c?
-23, -1, 2
Suppose -75 = 5*n, 270*l + 4*n + 64 = 272*l. Factor -15/2 - 17/2*o - 2*o**l.
-(o + 3)*(4*o + 5)/2
Let n = -660998/3 - -220342. Factor n - 32/3*j + 4/3*j**2.
4*(j - 7)*(j - 1)/3
Let m(j) be the first derivative of 3*j**5/20 + 15*j**4/8 + 2*j**3 - 15*j**2/4 - 27*j/4 - 11170. Factor m(h).
3*(h - 1)*(h + 1)**2*(h + 9)/4
Let s = -375 + 407. What is o in 15*o**4 + 28*o**5 - 68*o**3 - 16*o + 0*o**4 + 28*o**2 - 19*o**5 + s*o**2 = 0?
-4, 0, 2/3, 1
Let t(c) be the third derivative of 29/36*c**5 - 5/144*c**6 - 10*c**3 - 65/12*c**4 + 157*c**2 + 0*c + 0. Factor t(d).
-5*(d - 6)**2*(5*d + 2)/6
Let g(t) be the first derivative of t**5/5 - 17*t**4/4 + 88*t**3/3 - 72*t**2 + 2736. Suppose g(o) = 0. Calculate o.
0, 4, 9
Find w, given that -59/4*w**3 - 68*w**2 - 39*w + 0 - 3/4*w**4 = 0.
-13, -6, -2/3, 0
Let k(f) be the first derivative of f**5/15 + 9*f**4/4 + 8*f**3/9 - 438*f**2 + 864*f - 3716. Suppose k(u) = 0. What is u?
-18, 1, 8
Factor 1/4*k - 603/4 + 603/4*k**2 - 1/4*k**3.
-(k - 603)*(k - 1)*(k + 1)/4
What is t in -39/4*t**2 - 147/4*t - 45/2 = 0?
-3, -10/13
Factor 69/7*m**2 - 4824/7*m - 60.
3*(m - 70)*(23*m + 2)/7
Let s(j) = j**2 - 60. Let m = 477 + -485. Let t be s(m). Find l, given that 5*l**2 - 5/2*l + 5/2*l**t + 1/2 - 1/2*l**5 - 5*l**3 = 0.
1
Let a = -13284/17 + 2292923/2924. Let v = -1/86 + a. Factor v*j**2 + 1/4*j**3 + 6*j - 9.
(j - 1)*(j + 6)**2/4
Let l(s) be the first derivative of -7*s**6/2 + 667*s**5/25 - 231*s**4/4 + 257*s**3/15 + 66*s**2/5 - 36*s/5 - 2520. Let l(g) = 0. Calculate g.
-1/3, 2/7, 2/5, 3
Let a be 12/1 - ((-4)/(-6))/((-1199)/(-66) + -19). Let 8/5 - 34/5*d**2 + a*d = 0. What is d?
-2/17, 2
Let q = -32 - -32. Suppose x + q*l + 12 = -3*l, 0 = -2*x - 5*l - 20. Factor -15*u**2 + 16*u**2 + x*u - 2*u.
u*(u - 2)
Let p(n) be the first derivative of 48*n + 66 - 4*n**2 + 1/9*n**3. Suppose p(h) = 0. What is h?
12
Let n = 51 - 46. Let h(f) = f**3 - 7*f**2 + 14*f - 18. Let m be h(n). Let 18*r + 22*r**3 - 32*r**m - 8 + 2*r**2 + 4 + 0*r**4 - 6*r**4 = 0. What is r?
2/3, 1
Determine c, given that 45*c**3 - 102*c**2 + 54*c**3 + 51*c**3 + 47*c**3 + 3465*c - 200*c**3 = 0.
-55, 0, 21
Let g(o) be the second derivative of -o**5/10 + 12*o**4/7 + 148*o**3/21 - 48*o**2/7 + 486*o. What is w in g(w) = 0?
-2, 2/7, 12
Let c(f) be the second derivative of -12*f + 0*f**4 + 0*f**2 + 1/600*f**5 - 5/3*f**3 + 0 + 1/1800*f**6. Let q(r) be the second derivative of c(r). Factor q(d).
d*(d + 1)/5
Let g(x) be the third derivative of -1/2*x**4 - 2*x + 0 + 10*x**2 - 1/20*x**5 - 3/2*x**3. Determine w so that g(w) = 0.
-3, -1
Let q(g) = 11*g**3 - 20*g**2 + 8*g + 44. Let z(y) = 2*y**3 - y**2 - 8. Let t(c) = -q(c) + 5*z(c). Factor t(o).
-(o - 14)*(o - 3)*(o + 2)
Let i = -704/785 - -5713/5495. Factor -i*p**2 - 31/7*p + 32/7.
-(p - 1)*(p + 32)/7
Let i be (-19064)/(-324088) + ((-87)/(-85))/3. Let -i*g**5 - 2*g**4 + 0*g**2 - 8/5*g**3 + 0 + 0*g = 0. What is g?
-4, -1, 0
Factor -6/11 + 6/11*w**2 - 6/11*w**3 + 6/11*w.
-6*(w - 1)**2*(w + 1)/11
Let a = 1263633/1010932 + 8/252733. Factor a*g**3 + 0 + 0*g + 325/4*g**2.
5*g**2*(g + 65)/4
What is d in 0*d**4 - 17*d + 14*d**3 - 45*d - 144 + 2*d**4 - 21*d - 37*d - 4*d**2 = 0?
-6, -2, 3
Solve 0*w**2 - 2/7*w**3 + 6/7*w + 4/7 = 0 for w.
-1, 2
Suppose 0 = 304*g - 345*g. Let p(l) be the third derivative of -3/2*l**3 + g*l + 20*l**2 - 1/4*l**4 + 0 - 1/60*l**5. Suppose p(r) = 0. Calculate r.
-3
Suppose -2*r - 6*k + 7*k + 5 = 0, 5*k + 25 = -4*r. Let q(l) be the first derivative of r*l - 8 + l**3 - 3*l**2 + 3/4*l**4. Factor q(o).
3*o*(o - 1)*(o + 2)
Let g(p) = -17*p**2 + 2840*p + 674056. Let s(y) = -63*y**2 + 11361*y + 2696217. Let o(v) = -15*g(v) + 4*s(v). Factor o(w).
3*(w + 474)**2
Solve 25*d**2 + 14*d**4 + 20*d**3 - 8*d**4 + 39 + 19*d**4 - 210*d + 100*d**3 + 1 = 0 for d.
-4, -2, 1/5, 1
Let c(o) = -83*o**2 + 11700*o + 425. Let f be c(141). Suppose 3/4*b**f - 3/4 - 1/8*b + 1/8*b**3 = 0. What is b?
-6, -1, 1
Let i(y) be the first derivative of -4*y**5/5 + 23*y**4 + 4*y**3/3 - 46*y**2 - 1393. Determine g, given that i(g) = 0.
-1, 0, 1, 23
Find y such that -279/7*y**2 + 6/7*y**4 + 0 - 177/7*y**3 + 0*y = 0.
-3/2, 0, 31
Suppose -3*k + 13 = 5*c, -k + 12 + 9 = 5*c. Let y(m) = -m**3 - m**2 + 21*m + 46. Let a be y(-2). Factor -c*u**3 - a + 8*u - 3*u - 9*u**2 + 13 + 4*u**2.
-5*(u - 1)*(u + 1)**2
Let f(t) be the first derivative of t**5/20 + 15*t**4/8 - 19*t**2 - 31. Let r(g) be the second derivative of f(g). Factor r(w).
3*w*(w + 15)
Determine j so that -21/4*j**3 + 0 + 0*j + 0*j**4 - 9/2*j**2 + 3/4*j**5 = 0.
-2, -1, 0, 3
Determine b so that 2*b**5 - 42*b**3 - 80*b**2 - 28*b**4 + 66*b**3 + 26*b**3 + 56*b**3 = 0.
0, 1, 5, 8
Factor -2/5*z**3 + 0 - 84/5*z**2 + 176/5*z.
-2*z*(z - 2)*(z + 44)/5
Factor 0 - 1/2*s**3 - 1/2*s + s**2.
-s*(s - 1)**2/2
Solve -7*i**2 - 235*i**4 + 200*i**3 + 36*i + 237*i**4 - 180*i**3 + 61*i**2 = 0.
-6, -3, -1, 0
Suppose 0 = -3*k + 4*q - 5*q + 75, 124 = 5*k + 2*q. Let m = 53 - k. Factor -10*v**3 + 49*v**2 - 27*v**2 - m*v**2 - 5*v**4.
-5*v**2*(v + 1)**2
Let 2/3*a**3 + 0 - 4/3*a**2 - 10*a = 0. What is a?
-3, 0, 5
Let f(t) = -t**2 - 13*t + 8*t + 0*t**2 + 8*t. Let u(y) = -y**2 - 10*y - 21. Let i(w) = -10*f(w) + 2*u(w). Factor i(q).
2*(q - 7)*(4*q + 3)
Let k be ((-1)/((-1)/(-14)) - (227 + -250)) + (-444)/(-7). Let u = 356753/13874 + 1/1982. Find b, given that u*b + k*b**4 + 1170/7*b**3 + 12/7 + 831/7*b**2 = 0.
-1, -2/13
Suppose 3*j + p + 19 = -2*j, -5*p + 5 = 0. Let x be j - (1 - 2)*69. Factor -4*a**2 - 4*a**3 + 6*a**2 + x*a**4 + 2*a**2 + 4*a**5 - 69*a**4.
4*a**2*(a - 1)**2*(a + 1)
Let s(l) be the first derivative of -1024*l - 1/3*l**3 - 13 + 32*l**2. Suppose s(g) = 0. What is g?
32
Let j(q) be the first derivative of -18/11*q**2 - 2/11*q**3 - 48/11*q - 27. Solve j(l) = 0 for l.
-4, -2
Let o(l) be the third derivative of l**5/240 + 25*l**4/16 + 37*l**3/3 - 4*l**2 + 92. Determine t so that o(t) = 0.
-148, -2
Let k(u) be the second derivative of u**5/5 + 8*u**4/3 - 160*u**3 - 123*u - 10. Determine l so that k(l) = 0.
-20, 0, 12
Let y(j) = -23*j**3 - 81*j**2 - 127*j - 55. Let p(o) = -24*o**3 - 75*o**2 - 129*o - 57. Let f(c) = 2*p(c) - 3*y(c). Find m, given that f(m) = 0.
-17/7, -1
Factor 1/3*l**3 + 7/3*l**2 - 40/3*l + 44/3.
(l - 2)**2*(l + 11)/3
Let h = 79 - 75. Let j(y) = -1. Let x(k) = -15*k**3 - 5*k**2 + 4. Let q(t) = h*j(t) + x(t). Factor q(z).
-5*z**2*(3*z + 1)
Suppose 244 = -5*t + 1029. Factor 33 + 150*f**2 + 140*f + 12 - 97*f**3 + t*f**3 + 5*f**4.
5*(f + 1)**3*(f + 9)
Let r(b) be the second derivative of -8/39*b**4 + 16/13*b**2 + 1/65*b**6 + 0*b**3 - 2*b + 1/273*b**7 - 12 - 2/65*b**5. Solve r(d) = 0 for d.
-2, 1, 2
Suppose -574*z + 701*z = 381. Let n(m) be the second derivative of 81/8*m**2 - 15/4*m**z + 25/48*m**4 + 0 - 5*m. Factor n(b).
(5*b - 9)**2/4
Let v be -4 + (-160)/(-44) - 104*(-22)/968. Determine d, given that -16/5*d + 14/5 + 2/5*d**v = 0.
1, 7
Let a(n) be the second derivative of -n**6/15 + 21*n**5/10 - 10*n**4/3 + 99*n - 2. Factor a(b).
-2*b**2*(b - 20)*(b - 1)
Let y(r) be the third derivative of -r**5/100 + 13*r**4/40 + 14*r**3 + 677*r**2. Factor y(c).
-3*(c - 20)*(c + 7)/5
Let l(t) be the second derivative of 2*t**6/105 + t**5/10 - 2*t**4/21 + 2670*t. Factor l(i).
2*i**2*(i + 4)*(2*i - 1)/7
Let k(n) be the third derivative of 5*n**8/192 - 47*n**7/280 + 39*n**6/160 - 9*n**5/80 - 2*n**2 + 174*n + 1. Suppose k(a) = 0. What is a?
0, 3/7, 3/5, 3
Suppose -28 = -3*k - 16. Let o(t) = 6*t**3 + 4*t**2 + 14*t + 4. Let h(u) = -4 - 13*u - 3*u**2 - u**2 - u**2 - 5*u**3. Let p(d) = k*h(d) + 3*o(d). Factor p(m).
-2*(m + 1)**2*(m + 2)
Let i = -25 - -25. Let a be 7 + (0 + -4)/1. Suppose -h**5 + 2*h**a + 9*h - 10*h + i*h**5 = 0. Calculate h.
-1, 0, 1
Let x(f) be the second derivative of 961/2*f**3 + 2*f + 3/20*f**5 - 6 + 0*f**2 - 31/2*f**4. Determine u so that x(u) = 0.
0, 31
Factor -6*d**2 + 2/5*d**3 - 66/5 + 94/5*d.
2*(d - 11)*(d - 3)*(d - 1)/5
Let h be (-28395)/(-22085) + 1 + (-130)/63. Factor -10/9*s - 2/3*s**2 + 2/9*s**3 + h*s*