*a + j*a + 8 + 4*a**2 = 0. What is a?
1, 2
Let r = 5917/5 - 1181. Let w(l) be the first derivative of 2/3*l**6 + 0*l + 45 + r*l**5 + l**4 - 4*l**3 - 4*l**2. Factor w(z).
4*z*(z - 1)*(z + 1)**2*(z + 2)
Let j(w) = 9*w**2 + 3*w + 42. Let y(r) be the second derivative of -r**4/12 - r**2 + 19*r. Let b(i) = j(i) + 12*y(i). Factor b(l).
-3*(l - 3)*(l + 2)
Let k(l) = 61*l**2 - 12*l - 18*l - 75*l**2 - 8. Let w(h) = -14*h**2 - 29*h - 8. Let n(c) = 3*k(c) - 2*w(c). What is s in n(s) = 0?
-2, -2/7
Suppose 76*v**2 + 66*v + 2*v**5 - 45*v**4 + 61*v**4 - 52*v**2 - 68*v**3 - 40*v**2 = 0. What is v?
-11, -1, 0, 1, 3
Solve 26/15*u + 4 - 92/15*u**2 + 32/15*u**4 - 8/5*u**3 - 2/15*u**5 = 0 for u.
-1, 1, 2, 15
Suppose -37050*d + 9030*d**2 + 537*d**3 + 3*d**4 - 85356 - 7558*d**2 - 60444 + 22270*d**2 + 9510*d = 0. What is d?
-90, -2, 3
Determine o so that 388 - 2*o - 388 + 2*o**2 - 2*o**3 + 18*o + 2*o**2 = 0.
-2, 0, 4
Let b = -26677947/157591 + 6/22513. Let w = 171 + b. Find u, given that 6/7*u**3 + w*u + 18/7*u**2 + 0 = 0.
-2, -1, 0
Suppose 0 = 4*l - 3*q - 20, 0*q - 24 = -4*l + 4*q. Factor -7 - 19 + 1915*v**l - 30*v - 1914*v**2 - 5.
(v - 31)*(v + 1)
Let o(c) be the second derivative of c**6/18 - 3*c**5/4 + 25*c**4/9 + 57*c + 30. Determine p, given that o(p) = 0.
0, 4, 5
Suppose -5*p + v + 2 = 3*v, -2*v - 18 = -5*p. Let z(r) be the first derivative of -4/3*r**3 + 4/5*r**5 - p*r**4 + 19 + 4*r**2 + 0*r. Factor z(b).
4*b*(b - 2)*(b - 1)*(b + 1)
Let h(p) be the first derivative of -p**4/28 - 23*p**3/21 + p**2/14 + 23*p/7 - 6230. Determine d so that h(d) = 0.
-23, -1, 1
Let s(i) be the first derivative of -7*i**4/8 - 11*i**3/6 + 34*i**2 + 40*i + 9089. Factor s(b).
-(b - 4)*(b + 5)*(7*b + 4)/2
Suppose x = 4*t + 1385, -17*x + 14*x - 3*t + 4080 = 0. Let j = 1370 - x. Let -34/5*o**4 - 12/5*o**3 - 2*o**j + 0 + 0*o**2 + 0*o = 0. What is o?
-3, -2/5, 0
Solve -18560*o + 1154/9*o**2 - 2/9*o**3 + 18432 = 0 for o.
1, 288
Let x(k) be the third derivative of k**7/210 + 7*k**6/40 + 19*k**5/60 - 7*k**4/8 - 10*k**3/3 + 331*k**2. Determine z so that x(z) = 0.
-20, -1, 1
Let v(a) be the first derivative of 3*a**2 + 7 + 0*a**3 - 1/3*a**4 + 1/90*a**6 - 1/45*a**5 + 0*a. Let g(r) be the second derivative of v(r). Factor g(i).
4*i*(i - 3)*(i + 2)/3
Suppose 0 = -i - 2*z + 7, -3*i + 12 = -i + 3*z. Let v(f) be the second derivative of 1/4*f**i + 3/20*f**5 - 3/8*f**4 + 0 + 0*f**2 - f. Factor v(r).
3*r*(r - 1)*(2*r - 1)/2
Let g(s) be the third derivative of s**9/7560 - s**8/3360 - s**7/1260 + s**6/360 - 2*s**4 + 44*s**2. Let n(d) be the second derivative of g(d). Factor n(p).
2*p*(p - 1)**2*(p + 1)
Solve 90*l**2 + 699*l + 223*l - 83*l**2 - 264 + 394*l - 9*l**3 - 581*l**2 = 0.
-66, 2/9, 2
Let k(u) be the second derivative of -1/5*u**6 - 3/4*u**4 + 6 + 3/2*u**2 + 1/2*u**3 + 2*u - 3/4*u**5. Factor k(t).
-3*(t + 1)**3*(2*t - 1)
Let q(d) = -3*d**2 - 27*d + 2. Let k be q(-9). Let o be (k/(-4) + -1)/(1/(-2)). Determine w, given that 21*w**2 - 5*w**2 - 15*w + 5*w**3 - 3*w**2 - o*w**2 = 0.
-3, 0, 1
Let o = 2011 - 2006. Let b(t) be the third derivative of 1/10*t**o + 0*t**3 + 0*t + 1/40*t**6 + 0 + 4*t**2 + 0*t**4. Factor b(a).
3*a**2*(a + 2)
Let y(l) = -l**5 + 91*l**4 + 96*l**3 - 8*l**2. Let d(v) = -2*v**5 + 92*v**4 + 97*v**3 - 6*v**2. Let a(p) = -4*d(p) + 3*y(p). Factor a(h).
5*h**3*(h - 20)*(h + 1)
Let t(b) be the third derivative of 2*b**7/105 - 7*b**6/18 - 31*b**2. Factor t(r).
4*r**3*(3*r - 35)/3
Let h(p) = -4*p**5 - p**4 - p + 3. Let b(n) = -15*n**5 + 45*n**4 + 105*n**3 - 340*n**2 - 1365*n - 945. Let t(g) = -b(g) + 5*h(g). Determine z so that t(z) = 0.
-4, -1, 3
Factor -1/5*n**2 - 186/5 - 13*n.
-(n + 3)*(n + 62)/5
Let b(s) be the first derivative of -s**6/3 - 188*s**5/5 - 182*s**4 - 240*s**3 - 10268. Factor b(i).
-2*i**2*(i + 2)**2*(i + 90)
Let s be 470/13 + (-7)/(455/10). Find w, given that 5*w**2 - 30*w + 9 + s - 20*w = 0.
1, 9
Factor -13760258/3 - 10492/3*t - 2/3*t**2.
-2*(t + 2623)**2/3
Let w(t) be the third derivative of -t**5/20 + 35*t**4/8 + 100*t**3 + 245*t**2 - 3*t. Find u, given that w(u) = 0.
-5, 40
Suppose -276 = 2*y - 280. Factor 1053*p + 12 - 1061*p + 0*p**y - 4*p**2.
-4*(p - 1)*(p + 3)
Let j(z) be the first derivative of -z**6/24 + 11*z**5/5 - 299*z**4/8 + 169*z**3/3 + 41743*z**2/8 - 57122*z + 264. Factor j(h).
-(h - 13)**4*(h + 8)/4
Let a be 64/(-184)*10/(-50). Let n(d) be the first derivative of -6 + a*d**5 + 4/69*d**3 - 5/46*d**4 - 1/69*d**6 + 0*d**2 + 0*d. Find g, given that n(g) = 0.
0, 1, 2
Let t = 4574/7305 - -254/1461. Determine l, given that 2/5*l**4 + 6/5*l + 2/5*l**2 - t - 6/5*l**3 = 0.
-1, 1, 2
Let c(h) = 4*h**4 - 4*h**3 - h**2 + 6*h + 2. Let t(u) = -3*u**4 - u**3 - u - 2. Let f(x) = -c(x) - t(x). Let f(g) = 0. What is g?
-1, 0, 1, 5
Suppose 12 - 2 = 2*m - 2*h, -m - 3 = -3*h. Let f(n) = 0*n + m*n - 12*n + 4*n. Let y(o) = -3*o**2 + 36*o - 75. Let i(j) = -6*f(j) + y(j). Factor i(q).
-3*(q - 5)**2
Let o = 551 + -549. Let t(h) be the third derivative of -9*h**o - 1/120*h**6 + 0*h**4 + 0*h + 1/840*h**7 + 0 + 1/80*h**5 + 0*h**3. Factor t(x).
x**2*(x - 3)*(x - 1)/4
Let t be -8 - 210/(-51) - (-6 - -2). Let u be 42/18 - (-2996)/(-1428). Determine v, given that 16/17 - 12/17*v**4 + 24/17*v - u*v**2 - 22/17*v**3 - t*v**5 = 0.
-2, -1, 1
Let v be (-70)/(-3)*(4410/12)/(-35). Let m be (v/(-20) + -11)/10. Find o, given that -81/8 - m*o**3 - 99/8*o - 19/8*o**2 = 0.
-9, -1
Let w(i) be the second derivative of -1/4*i**3 + 1/16*i**4 + 1/80*i**5 - i**2 + 0 - 159*i. Determine r so that w(r) = 0.
-4, -1, 2
Factor 4*k**3 + 172*k**2 + 326*k - 704*k**2 + 140*k - 406*k**2 + 448 + 20.
2*(k - 234)*(k - 1)*(2*k + 1)
Let t(m) be the third derivative of 23*m**8/26208 - 113*m**7/32760 - m**6/2340 - 59*m**5/60 + 261*m**2. Let k(c) be the third derivative of t(c). Factor k(v).
2*(v - 1)*(115*v + 2)/13
Let g(m) = -785*m - 26690. Let x be g(-34). Let b = -502/21 + 24. Factor 4/21*t + x - b*t**2.
-2*t*(t - 2)/21
Suppose 0 = -5*c + 2*s + 43, 3*c - 2*s = 69098 - 69061. Factor 26/17*y - 6/17*y**2 + 30/17 - 2/17*y**c.
-2*(y - 3)*(y + 1)*(y + 5)/17
Let m be (9/(-18))/(2/(-12)). Find v, given that m - 18805*v + 18785*v + 21 - 4*v**2 = 0.
-6, 1
Let o(j) = 7*j**2 + 650*j + 108. Let s(a) = -2*a**2 - 3*a - 27. Let m(k) = -o(k) - 4*s(k). Factor m(h).
h*(h - 638)
Find i such that -360/7 - 2/7*i**2 + 18*i = 0.
3, 60
Let w = 7044 - 7022. Let x(p) be the third derivative of w*p**2 + 0 - 1/150*p**5 - 1/60*p**4 + 2/15*p**3 + 0*p. Factor x(v).
-2*(v - 1)*(v + 2)/5
Suppose -74*k = -78*k - 3*o + 3, 4*k - 3*o = -3. Let v(x) be the first derivative of 0*x**3 + 0*x**2 - 15 + 1/10*x**5 + 1/24*x**4 + k*x. What is j in v(j) = 0?
-1/3, 0
Let d be ((3 - 3)/5)/((-1)/1). Suppose -15*c + 12*c + 30 = d. Suppose 4*o**5 + 3*o**2 + 12*o**3 + 2*o**4 + 0*o**2 + c*o**4 + o**2 = 0. Calculate o.
-1, 0
Let m(d) be the third derivative of 1/60*d**4 + 0 + 1/600*d**6 - 1/60*d**5 + 1/525*d**7 + 0*d**3 + 37*d**2 - 2*d. Factor m(q).
q*(q - 1)*(q + 2)*(2*q - 1)/5
Factor -699712/7*q - 1560896/7 + 4/7*q**4 - 688/7*q**3 + 5568*q**2.
4*(q - 58)**3*(q + 2)/7
Suppose -3*c + 369 = 30. Suppose 0*n - n = 5*i - 165, i - 4*n - 54 = 0. What is m in c*m**3 - 10 - 5*m**2 + 5*m + 6*m + i*m - 173*m**3 = 0?
-1, 1/4, 2/3
Let o(f) = -25*f + 50. Let h be o(2). Suppose b + 5 = 0, -5*b = 3*l - h*b + 19. Factor 3/2 - 5/4*k - 11/4*k**l.
-(k + 1)*(11*k - 6)/4
Let f(z) be the first derivative of 4/35*z**5 - 1/7*z**4 + 19 + 10/7*z**2 - 4/7*z**3 - 8/7*z. Suppose f(k) = 0. What is k?
-2, 1
Let z(p) = 16*p**3 - 33*p**2 - 553*p - 1929. Let x(t) = 28*t**3 - 60*t**2 - 968*t - 3376. Let b(i) = -9*x(i) + 16*z(i). Find l, given that b(l) = 0.
-5, -4, 6
Let w = -1445 - -2070. Let d = w - 1831/3. Determine c, given that 121/3*c**2 - d*c + 4/3 = 0.
2/11
Let a = -421 - -511. Suppose 77*n - 47*n = a. Suppose -12/5*k**2 + 9/5*k**n - 4/5*k + 0 + 7/5*k**4 = 0. Calculate k.
-2, -2/7, 0, 1
Let z(o) be the first derivative of -232 + 15/4*o - 3/20*o**5 - 9/4*o**2 + 9/8*o**4 - o**3. Let z(t) = 0. What is t?
-1, 1, 5
Let q be (-18)/(-30) - 7/(-5). Factor v**3 - 13/3*v - q - 4/3*v**2.
(v - 3)*(v + 1)*(3*v + 2)/3
Suppose 31 - 151 + 527*x + 24*x**2 + 105*x**2 + 57*x**3 - 3*x**5 - 581*x - 9*x**4 = 0. What is x?
-5, -2, -1, 1, 4
Let q(x) be the third derivative of -x**8/1008 + 26*x**7/315 - 47*x**6/45 + 272*x**