r -r*b + 1/3*b**5 + z - b**2 + b**4 + 1/3*b**3.
b*(b - 1)*(b + 1)**2*(b + 2)/3
Let s(p) be the second derivative of 0 + 1/90*p**4 - 9*p**2 - 1/450*p**5 + 0*p**3 - 5*p. Let x(h) be the first derivative of s(h). Factor x(u).
-2*u*(u - 2)/15
Let t(q) = -537*q + 19871. Let a be t(37). Factor 0 + 7/2*x**3 + x**2 + a*x**4 - 1/2*x.
x*(x + 1)**2*(4*x - 1)/2
Let l(s) be the third derivative of -s**6/180 + 2*s**5/15 + s**4/36 - 4*s**3/3 - s**2 - 26. Suppose l(x) = 0. What is x?
-1, 1, 12
Factor 65*y + 0 + 12/5*y**2 - 1/5*y**3.
-y*(y - 25)*(y + 13)/5
Let k be (-40)/50 + 19/5 + -1. Factor 14*g + 2*g**2 + k + 2 - 15 - 5.
2*(g - 1)*(g + 8)
What is c in 86*c**2 - 2/3*c**5 - 92/3*c - 6*c**4 - 80 + 94/3*c**3 = 0?
-12, -2, -1, 1, 5
Find w, given that 3069504 + 769*w**2 + 743*w**2 - 1508*w**2 - 7008*w = 0.
876
Let g(b) = -8*b**3 + 372*b**2 - 1188*b + 1096. Let c(l) = -5*l**3 + 223*l**2 - 713*l + 658. Let n(j) = -12*c(j) + 7*g(j). Let n(m) = 0. What is m?
2, 14
Let 9223*y**3 + y**4 - 6*y**4 + 1987*y**3 + 2167263784 + 2075759840*y - 8370120*y**2 + 2017826136 = 0. What is y?
-2, 748
Let o = 78/5287 + 78993/21148. Find i such that 3/8*i**2 + 6 - o*i = 0.
2, 8
Let g(h) be the second derivative of h**4/4 - 134*h**3 - 2439*h**2/2 - 1155*h. Suppose g(t) = 0. What is t?
-3, 271
Suppose 3*b - 10343 - 16 = 0. Suppose 10*t**4 - b*t**5 + 6 + 20*t**3 + 3455*t**5 + 5*t**4 + 21*t**3 + 29*t + 51*t**2 = 0. Calculate t.
-3, -2, -1, -1/2
Suppose -3*d = 2*v - 10, 7*v - 3*d - 30 = 4*v. Let x(n) be the first derivative of -8*n - 26/3*n**3 + 12*n**2 + v + 3*n**4 - 2/5*n**5. Factor x(g).
-2*(g - 2)**2*(g - 1)**2
Let s(w) be the second derivative of -w**6/300 - 3*w**5/100 + 17*w**4/30 + 5*w**3/2 + 77*w**2/20 + 2664*w. Determine f so that s(f) = 0.
-11, -1, 7
Factor -1/3*p**2 - 190 - 193/3*p.
-(p + 3)*(p + 190)/3
Let g(f) be the first derivative of 14*f**6/3 + 64*f**5 + 222*f**4 + 1024*f**3/3 + 262*f**2 + 96*f + 729. Find o such that g(o) = 0.
-8, -1, -3/7
Suppose -4*k - 5*z + 28 = 0, z = -k + 5*z - 14. Factor -3*m + 143*m**3 - 75*m**3 + 10*m**k + 0*m - 71*m**3.
-m*(m - 3)*(3*m - 1)
Factor -23*o**2 + 19*o**2 + 1 + 31*o - 7*o**3 - 6*o**2 - 5 - 10*o**2.
-(o - 1)*(o + 4)*(7*o - 1)
Let r(n) be the first derivative of -2*n**4/3 + 76*n**3/9 - 16*n**2 - 60*n + 10711. Suppose r(d) = 0. What is d?
-1, 3, 15/2
Let r(l) be the third derivative of l**5/360 - 289*l**4/144 - 2*l**2 + 2*l + 7. Suppose r(i) = 0. What is i?
0, 289
Let q(z) be the first derivative of -z**5/40 + 9*z**3/4 + 27*z**2/2 + 76*z - 59. Let i(d) be the first derivative of q(d). Find b, given that i(b) = 0.
-3, 6
Let -3678/7*y + 1098/7 - 442/7*y**3 - 2746/7*y**2 + 8/7*y**4 = 0. Calculate y.
-3, 1/4, 61
Let o(n) = n**2 + 15*n + 18. Let d be o(-14). Let g(l) be the first derivative of 0*l**3 + l**2 + 0*l + 7 - 1/8*l**d. Factor g(v).
-v*(v - 2)*(v + 2)/2
Factor -55 + 35*h**2 - 110 - 37*h + 129*h - 34*h**2 - 40*h.
(h - 3)*(h + 55)
Determine f so that 11*f**2 - 104*f**2 + 15*f**2 + 75*f**2 - 9 - 12*f = 0.
-3, -1
Factor 0 - 25*p - 24*p**3 - 99/2*p**2 + 1/2*p**4.
p*(p - 50)*(p + 1)**2/2
Let q = -180359 - -1262517/7. Factor -2/7*r**2 - 2/7 + q*r.
-2*(r - 1)**2/7
Factor 274048 + 122231*r - 401*r**2 - 460954*r + 65841 - 764*r**2 - r**3.
-(r - 1)*(r + 583)**2
Let q(g) = -4*g**2 + 53*g + 108. Let p be q(15). Let f(z) be the first derivative of 1 + 8*z**2 + 0*z + 1/2*z**4 + 4*z**p. Factor f(o).
2*o*(o + 2)*(o + 4)
Let r(s) be the first derivative of s**8/224 + s**7/70 + s**6/80 + s**2 + 31*s - 122. Let u(g) be the second derivative of r(g). Solve u(p) = 0.
-1, 0
Let u(s) be the third derivative of s**5/300 - 27*s**4/5 + 17496*s**3/5 - 1397*s**2 - s. Factor u(y).
(y - 324)**2/5
What is h in 1/5*h**3 + 12/5*h**2 + 21/5*h + 2 = 0?
-10, -1
Suppose 93*s + 3/5*s**3 - 243/5*s**2 + 711/5 = 0. What is s?
-1, 3, 79
Factor -5157/2*b**3 + 0 + 0*b + 3/2*b**4 + 2577*b**2.
3*b**2*(b - 1718)*(b - 1)/2
Suppose 7*u + 8 = -u. Let a be 2 + 0 + (u/1 - -3). Find k such that 0*k**2 - a*k**3 + 5*k**2 - 2*k**2 + 5*k**2 - 4*k**4 = 0.
-2, 0, 1
Let c(s) be the third derivative of s**5/300 + 497*s**4/120 - 5142*s**2. What is j in c(j) = 0?
-497, 0
Let n(v) = -17 + 30 - 3*v**4 + 6*v - 10*v**2 + 6*v**5 - 6 + 15*v**3. Let u(s) = s**5 + s**2 + 1. Let o(x) = 5*n(x) - 35*u(x). Let o(h) = 0. What is h?
-6, 0, 1
Let a(n) be the third derivative of n**8/112 + 3*n**7/35 + n**6/5 + 1488*n**2. Factor a(o).
3*o**3*(o + 2)*(o + 4)
Let p be (-390)/(-10) + -23 + 3/(-1). Let f(v) be the first derivative of 8/21*v**3 + 3/7*v**2 - p + 1/14*v**4 + 0*v. Determine j so that f(j) = 0.
-3, -1, 0
Let j = 201 - 149. Solve 4*l**5 + 24 + j*l + 14*l**4 - 24*l**3 + 7*l**4 + 16*l**2 - 29*l**4 = 0.
-1, 2, 3
Let d(s) be the third derivative of s**6/480 + 11*s**5/80 - 3*s**4/2 - 360*s**3 + 2940*s**2. Factor d(r).
(r - 15)*(r + 24)**2/4
Let f be ((-1)/(-3))/(65/1560). Suppose i**5 - 3*i**5 + 4*i**5 + 48*i**4 + 16*i**3 + 96*i**3 - 108*i + f*i**2 - 6*i**5 - 56 = 0. Calculate i.
-1, 1, 14
Let s(m) = -m**4 - 54*m**3 + 18*m**2 + 155*m + 96. Let y(c) = 56*c**3 - 20*c**2 - 156*c - 96. Let u(n) = -4*s(n) - 3*y(n). Find i, given that u(i) = 0.
-12, -1, 2
Suppose 2*a = -8 + 108. Let v = a + -45. Factor -302*y**v + y**3 + 151*y**5 - 2*y**4 + 152*y**5.
y**3*(y - 1)**2
Let c = -93538 - -7856707/84. Let s = c + 83/12. Solve 0 + 64/7*g**4 + s*g + 160/7*g**3 + 68/7*g**2 = 0 for g.
-2, -1/4, 0
Let s be (-21)/(42/4) + 1*21. Let m(a) be the second derivative of 0*a**3 + 0*a**2 + 0 - s*a + 1/72*a**4. Factor m(p).
p**2/6
Let h(n) = -5*n - 98. Let p be h(-20). Factor 8 + 10*i**3 + 8*i + p*i**2 - 11*i - 2*i**4 - 13*i - 2*i**5.
-2*(i - 1)**3*(i + 2)**2
Suppose 3*g + 31767 - 31759 = 2*z, 7*g = 3*z - 7. Find y, given that 15*y - 3/2*y**g - 75/2 = 0.
5
Let p be (-14)/(-21) - (-212)/(-320). Let t(x) be the third derivative of -p*x**6 - 1/120*x**5 + 0*x**4 + 0*x + 27*x**2 + 0*x**3 + 0. Factor t(o).
-o**2*(o + 1)/2
Let i(z) be the first derivative of 2/3*z - 1/6*z**4 - 5/9*z**3 - 1/6*z**2 - 97. Determine m so that i(m) = 0.
-2, -1, 1/2
Let v(d) be the second derivative of -8/9*d**3 + 0*d**2 + 7/60*d**5 + 2/9*d**4 + 0 + 1/90*d**6 + 181*d. Factor v(u).
u*(u - 1)*(u + 4)**2/3
Let r(k) be the third derivative of -14/27*k**4 - 1/945*k**7 + 196/27*k**3 + 7/270*k**6 - 68*k**2 - 1/6*k**5 + 0 + 0*k. Solve r(y) = 0 for y.
-2, 2, 7
Let c be (4 - 4)/(14 + 85/(-5)). Factor 1/5*f**3 + c*f**2 + 0*f - 1/5*f**5 + 0*f**4 + 0.
-f**3*(f - 1)*(f + 1)/5
Let a(z) be the third derivative of 128*z**2 + 0*z + 0 - 1/180*z**5 + 5/6*z**3 + 1/36*z**4. Factor a(p).
-(p - 5)*(p + 3)/3
Let d(h) = 2*h**2 + 333*h + 1617. Let n be d(-5). Factor -8/13*g + 24/13*g**n + 0 - 18/13*g**3.
-2*g*(3*g - 2)**2/13
Suppose 0 = 3*d + i - 11, 44*d - 9 = 42*d + i. Let g(c) be the second derivative of -5/12*c**d + 0*c**2 - c - 5/3*c**3 + 0. Factor g(j).
-5*j*(j + 2)
Suppose -13*x + 63 = 11. Suppose x*y + 4*p - 11 = -19, 0 = 4*y - 3*p - 6. Suppose y + 5*v**2 - 5*v**4 - 5/2*v**5 + 0*v**3 + 5/2*v = 0. Calculate v.
-1, 0, 1
Let w(j) be the third derivative of -841*j**6/60 - 1653*j**5/5 + 693*j**4/4 - 36*j**3 - j**2 - 77*j + 1. Factor w(n).
-2*(n + 12)*(29*n - 3)**2
Let w be 6/20*-2*((-320)/45 + 6). Let g(z) be the second derivative of -7*z + 0 + w*z**2 + 121/36*z**4 + 22/9*z**3. Factor g(i).
(11*i + 2)**2/3
Let u(b) be the first derivative of -b**5 + 0*b - 25/3*b**3 + 5*b**2 + 77 + 5*b**4. Let u(y) = 0. What is y?
0, 1, 2
Let l = 15447 - 30891/2. Let q(w) be the first derivative of 1/5*w**5 + 6 + l*w**2 + 5/4*w**4 + 7/3*w**3 + 0*w. Find i such that q(i) = 0.
-3, -1, 0
Suppose -926/11*i - 2188/11*i**2 - 1354/11*i**3 - 116/11 + 24/11*i**4 = 0. Calculate i.
-1, -1/3, -1/4, 58
Let i(r) be the first derivative of 0*r - 1/14*r**2 - 1/21*r**3 - 169. Find b such that i(b) = 0.
-1, 0
Let r be (609/435)/(9*(-5)/(-150)). Find g, given that -r*g**2 + 2/3*g + 2/3*g**4 - 2/3*g**3 + 4 = 0.
-2, -1, 1, 3
Let c(m) be the first derivative of -7*m**5/40 - 65*m**4/16 - 9*m**3/2 + m**2/2 - 5*m + 43. Let w(y) be the second derivative of c(y). Solve w(x) = 0.
-9, -2/7
Let v(a) be the first derivative of -a**6/240 - 3*a**5/80 - a**4/8 - 136*a**3/3 - 152. Let f(j) be the third derivative of v(j). Factor f(s).
-3*(s + 1)*(s + 2)/2
Suppose -3*k + 3*x + 9 = 0, 0 - 13 = -k + 3*x. Let r be (-102)/(-1)*(-1)/k. Factor r