0. What is a?
-12, 1
Let c be ((-160)/36)/(-5) - (-12201)/8964. Factor -9/4*f**2 - 3/4*f**3 - 3/4 - c*f.
-3*(f + 1)**3/4
Let x(q) be the first derivative of -9*q**5/5 - 133*q**4/4 - 176*q**3 - 154*q**2 + 96*q - 5951. What is d in x(d) = 0?
-8, -6, -1, 2/9
Suppose 16*m + 5*m - 126 = 0. Let g be (3 + 6 - 10)/((-2)/m). Factor -9/5*n**2 + 3/5*n**4 + 3/5*n - 3/5*n**g + 6/5.
3*(n - 2)*(n - 1)*(n + 1)**2/5
Let r(g) be the first derivative of g**5/45 - g**4/12 + 2*g**2/9 + 2648. What is b in r(b) = 0?
-1, 0, 2
Let a be 1904/105 - 4/30. Let t be 30/a*(-15)/(-50). Find o, given that -3/2*o + 2*o**2 - t = 0.
-1/4, 1
Let j(d) be the second derivative of d**7/252 + 19*d**6/15 + 4407*d**5/40 + 12769*d**4/36 - 1675*d. Find i, given that j(i) = 0.
-113, -2, 0
Let o(v) be the second derivative of -1/42*v**7 - 1/15*v**6 - 8 + 1/3*v**4 + v + 1/10*v**5 - 1/6*v**3 - v**2. Factor o(n).
-(n - 1)**2*(n + 1)**2*(n + 2)
Let g = -216 + 251. Let d be g/600*4 + 6/36. Solve -d*a**3 - 1/5*a**4 + 0*a - 1/5*a**2 + 0 = 0.
-1, 0
Let o = 385 + -393. Let i be (-40)/o - (-2 + (-246)/(-36)). Find q, given that -1/6*q**3 - q**2 + 0 + 0*q + i*q**4 = 0.
-2, 0, 3
Suppose -564*q = -570*q - 372. Let z be (1 + q/30)*36/(-16). Factor -36/5*w**3 - 24/5*w**2 + 6/5*w**5 - 36/5 + 78/5*w + z*w**4.
6*(w - 1)**3*(w + 2)*(w + 3)/5
Let d(t) = -2*t**2 + 887*t - 95053. Let h(c) = 2*c**2 - 890*c + 95054. Let b(f) = -6*d(f) - 5*h(f). Factor b(q).
2*(q - 218)**2
Let v(t) = 525*t**3 - 389*t**2 - 136*t + 8. Let f(q) = q**4 + 1575*q**3 - 1169*q**2 - 407*q + 22. Let b(c) = -4*f(c) + 11*v(c). Factor b(o).
-o*(o - 1)*(o + 132)*(4*o + 1)
Let n be -5*427/266 - -8. Let w = 83/266 + n. Determine l so that -6/7*l - w*l**2 + 8/7 = 0.
-4, 1
Let u(s) be the second derivative of -75*s + 1/7*s**4 + 19/14*s**3 - 18/7*s**2 - 27/70*s**5 + 0 + 4/35*s**6 - 1/98*s**7. Let u(c) = 0. What is c?
-1, 1, 3, 4
Let y(q) = q**3 - 8*q**2 + 780*q + 4. Let n(u) = -u**3 + 20*u**2 - 781*u - 3. Let t(m) = -4*n(m) - 3*y(m). Factor t(z).
z*(z - 28)**2
Let j = 346233 + -5885935/17. Suppose -42/17*u**3 - 10/17*u**4 - 30/17*u**2 + 24/17 + j*u = 0. What is u?
-3, -1, 4/5
Let o be 12/11 + 6630/1122. Let k(q) be the second derivative of -4*q + 0*q**3 - 5/12*q**4 - 1/2*q**6 - 3/4*q**5 + 0 + 0*q**2 - 5/42*q**o. Factor k(z).
-5*z**2*(z + 1)**3
Let j = -17182 + 17187. Let u(r) be the second derivative of -1/14*r**7 - 21/20*r**j + 0 - r**3 - 3/8*r**2 - 11/8*r**4 - 17/40*r**6 + 37*r. Factor u(l).
-3*(l + 1)**4*(4*l + 1)/4
Let z(c) = c**3 + 155*c**2 - 761*c - 70179. Let v be z(-157). Factor -7/4*x**4 + 1/4*x**5 + 0*x + 3*x**3 + 0*x**2 + v.
x**3*(x - 4)*(x - 3)/4
Let g be (-40)/45*-6 - (19 + -15 + -8). Solve g*a + 32/3 - 4/3*a**2 = 0.
-1, 8
Let o be (-2631)/1188*-3 - (-446)/19624. Factor o*h**2 + 2/9*h**3 + 56*h + 784/9.
2*(h + 2)*(h + 14)**2/9
Suppose -o + 33 = -3*z, 5*o - 2*z = 3*z + 215. Let k be ((-2)/o - (-6)/16)*2. Factor -1 + k*g + 1/3*g**2.
(g - 1)*(g + 3)/3
Suppose -3*z + 4*v = 3 + 29, 2*z - 2*v + 18 = 0. Let t be (-948)/553*2/z. Suppose -t + 2/7*m**2 - 4/7*m = 0. What is m?
-1, 3
Let j be ((-1 - -18) + -17)/(-2). Let v(m) be the second derivative of j*m**2 + 5*m + 0 + 5/2*m**3 + 5/12*m**4. Factor v(i).
5*i*(i + 3)
Suppose 0 = -5*z + 3*h + 87, -3*z + 1730*h - 43 = 1735*h. Solve 0 + 9*a**5 - z*a**4 - 42*a**3 - 100/3*a**2 - 8*a = 0.
-2/3, 0, 3
Let p = 38397 + -38393. Let y(m) be the third derivative of 0*m + 1/6*m**p - 14*m**2 + 0 + 1/15*m**5 + 0*m**3. Factor y(k).
4*k*(k + 1)
Let l = 2702558/9 - 300284. Factor -2/9*o**2 + 0*o - 2/3*o**3 + 0 - l*o**5 - 2/3*o**4.
-2*o**2*(o + 1)**3/9
Let m(s) be the first derivative of 62 - 33/2*s**2 + 7*s**3 + 12*s. Factor m(u).
3*(u - 1)*(7*u - 4)
Let t = 249220 + -249217. Find c such that 5/3*c + 2/3*c**4 - 1/3*c**5 + 4*c**t + 14/3*c**2 + 0 = 0.
-1, 0, 5
Let r(t) = -t**5 + 2*t**4 + 2*t**3 - 4*t**2 - t + 2. Let k(o) = 2*o**3 - 4*o**2 + 3*o**4 - 673*o + 671*o + 1 + 0*o**2. Let y(v) = 3*k(v) - 2*r(v). Factor y(i).
(i - 1)*(i + 1)**3*(2*i + 1)
Let m be -2 + (-82)/(-14) - (9 - 29)/140. Suppose 0 + 4/3*d**2 - 2/3*d**3 + 8/3*d - 1/3*d**m = 0. What is d?
-2, 0, 2
Suppose 158*d - 539 = -49*d - 125. What is i in 9/2 + 17/4*i - 1/4*i**d = 0?
-1, 18
Let u(c) = c**3 - 15*c**2 + 28*c - 193. Let j be u(14). Factor -5*t + 6*t**3 - 2*t**3 + 13 + 17 - 30*t**2 + t**j.
5*(t - 6)*(t - 1)*(t + 1)
Factor 4464/5*z + 2/5*z**2 + 2490912/5.
2*(z + 1116)**2/5
Let l(u) = 4*u + 99. Let a be l(-24). Factor 156*f**2 - 48*f**2 - 37*f - 39*f - 59 + 36*f**a + 91 - 60*f.
4*(f + 4)*(3*f - 2)*(3*f - 1)
Let s(g) = -2*g**3 - 3*g**2 - 3*g. Let y be s(-1). Suppose -3 = -y*w + 1. Find l, given that 2/13*l + 4/13*l**w - 2/13 = 0.
-1, 1/2
Suppose -3324 = -32*m + 7300. Let x = -327 + m. Find t such that -3*t**2 + 3/4*t**4 + 0*t + 3*t**3 - 3/4*t**x + 0 = 0.
-2, 0, 1, 2
Let s = -53464 - -213857/4. Factor -1/4*z**2 + s*z**3 + 0*z + 0.
z**2*(z - 1)/4
Let x be ((8643024/65)/8)/(-16*14/(-840)). Factor -3/4*g**5 + 1594323/4 - 6723/2*g**3 + x*g**2 + 327/4*g**4 - 1830519/4*g.
-3*(g - 27)**4*(g - 1)/4
Let n(w) be the second derivative of 1/4*w**5 + 17*w + 0 + 25*w**2 + 5*w**4 + 35/2*w**3. Factor n(t).
5*(t + 1)**2*(t + 10)
Let m(f) be the third derivative of 1/165*f**6 + 0*f**3 - 1/110*f**5 + 0*f + 0*f**4 + 0 + 52*f**2 - 1/1155*f**7. Let m(y) = 0. What is y?
0, 1, 3
Let k be 10/25*(-12 + 777). Let f be (-63)/6*(-272)/k. Factor 2/3*o**2 - f*o + 98/3.
2*(o - 7)**2/3
Let m(v) be the first derivative of -23/38*v**4 - 59 + 16/19*v - 20/19*v**3 - 2/19*v**5 - 4/19*v**2. Suppose m(q) = 0. Calculate q.
-2, -1, 2/5
Let l(w) be the second derivative of 32*w**6/75 + 116*w**5/25 - 133*w**4/20 - 121*w**3/30 - 4*w**2/5 + 11377*w. Determine p, given that l(p) = 0.
-8, -1/8, 1
Factor -162 + 3*l**3 - 414*l + 199*l + 542*l - 168*l**2.
3*(l - 54)*(l - 1)**2
Let u = 111/23 - 2078/483. Let i(m) be the second derivative of -15*m - 4/21*m**3 - 1/2*m**5 + 5/42*m**6 + 0 + 0*m**2 + u*m**4. Factor i(y).
y*(y - 2)*(5*y - 2)**2/7
Let n(t) = 8*t**3 - 781*t**2 - 5161*t - 7958. Let k(y) = 5*y**3 - 520*y**2 - 3440*y - 5305. Let h(q) = 7*k(q) - 5*n(q). Let h(r) = 0. Calculate r.
-3, 59
Let w be 11/((-440)/(-24)) - (2 - 7/5). Let r(a) be the second derivative of -5/12*a**4 + w + 0*a**3 + 10*a + 5/2*a**2. Determine p, given that r(p) = 0.
-1, 1
Let u be 6/(-21) + (92/(-7))/(-4). Let c be u/(-6)*18/(-3). Factor -c*n - n**2 - 9*n - 12 - 2*n**2.
-3*(n + 2)**2
Determine y, given that 3/4*y**2 - 114 + 33/4*y = 0.
-19, 8
Let p(u) be the first derivative of 36/11*u - 101 - 2/33*u**3 - 3/11*u**2. Suppose p(n) = 0. What is n?
-6, 3
Let n = -262858/5 - -52572. Factor 4/5*c + n*c**2 + 0.
2*c*(c + 2)/5
Let x be ((13230/(-784))/(-135))/(1/26). Factor 7/4*a**2 + 3/2 - x*a.
(a - 1)*(7*a - 6)/4
Let j = -1582 + 1586. Let x(h) be the first derivative of 0*h + 1/3*h**2 + h**j + 1/9*h**6 + 8/15*h**5 + 10 + 8/9*h**3. Find m such that x(m) = 0.
-1, 0
Let k = 21161/12702 + 3/4234. Let l(n) be the second derivative of -10/3*n**3 - 1/4*n**5 - 6*n + 0 - k*n**4 + 0*n**2. Factor l(s).
-5*s*(s + 2)**2
Let w = -1122/775 + 91/62. Let i(b) be the second derivative of 1/15*b**3 - 1/15*b**4 + w*b**5 + 4*b + 0 + 0*b**2. Factor i(x).
2*x*(x - 1)**2/5
Determine o, given that -64/7*o + 60/7 - 4/7*o**2 + 8/7*o**3 = 0.
-3, 1, 5/2
Determine l so that 3*l**2 + 293 - 98 - 6*l**2 - 174 + 36*l - 117 = 0.
4, 8
Let u(n) = 3*n**3 - 13*n**2 + 15*n - 7. Let g(f) = -f**3 - f. Let s(x) = 2*g(x) + u(x). Let b be s(12). Factor b*m**2 + 5*m**3 - 2*m**2 - 5*m**4 - 5*m + 2*m**2.
-5*m*(m - 1)**2*(m + 1)
Suppose 18 = 2*y - 4*n, 246 = 3*y - 5*n + 222. Let v(h) be the first derivative of 2/33*h**y - 6/11*h**2 + 10/11*h - 8. Let v(f) = 0. What is f?
1, 5
Let z(v) = v**3 + v**2 - v + 10. Let i(g) = -4*g**3 - 227*g**2 + 4*g + 194. Let y(x) = 2*i(x) + 6*z(x). Let y(s) = 0. What is s?
-224, -1, 1
Let d(a) be the third derivative of 0*a**3 + 0*a**4 - 1/84*a**6 - 5*a + 0 - 2/105*a**5 + a**2 - 1/735*a**7. Factor d(b).
-2*b**2*(b + 1)*(b + 4)/7
Let x be (-26)/(-24)*(8/(-364))/(1/(-7)). Let f(c) be the first derivative of 1/12*c**2 - x*c**3 + 0*c - 20. Factor f(t).
-t*(3*t - 1)/6
Determine x so that -1/2*x**2 + 0 + 303/2*x = 0.
0, 303
Find h such that -80/3*h - 2/3*h**2 + 0 = 0.
-40, 0
Solve 84 + 3*q**3 - 54*q - q**3 - 40 + 52*q**2 - 44 = 0 for q.
-27, 0, 1
Let a = 85