0. What is a?
46
Let w(v) be the third derivative of v**8/2184 + 4*v**7/1365 - v**6/260 - 17*v**5/195 - v**4/3 - 8*v**3/13 + 6*v**2 + 4*v + 15. Let w(q) = 0. Calculate q.
-2, -1, 3
Let t(p) be the third derivative of 11*p**2 + 0*p**3 + 0*p + 1/48*p**6 + 0*p**4 - 1/672*p**8 - 5/8*p**5 + 1/60*p**7 + 0. Factor t(w).
-w**2*(w - 5)**2*(w + 3)/2
Let u(h) be the first derivative of h**4/60 + h**3/10 + h**2/5 - 127*h - 72. Let a(n) be the first derivative of u(n). Factor a(q).
(q + 1)*(q + 2)/5
Let o = 20717/62115 - 4/20705. Let 1 + 4/3*c**3 - 4/3*c - o*c**4 - 2/3*c**2 = 0. What is c?
-1, 1, 3
Solve 0 - 6/5*g + 178/5*g**2 + 12*g**3 = 0 for g.
-3, 0, 1/30
Factor 2/17*a**2 + 1570/17 + 324/17*a.
2*(a + 5)*(a + 157)/17
Let y(s) be the third derivative of 1/2*s**4 - 2/105*s**7 + 0*s**3 - 11 + 0*s - s**2 + 1/15*s**5 - 1/10*s**6. Factor y(j).
-4*j*(j - 1)*(j + 1)*(j + 3)
Let o = 30692 - 30687. Let r(t) be the third derivative of 0 - 1/3*t**o + 5*t**3 - 115/24*t**4 + 0*t - 34*t**2. Factor r(l).
-5*(l + 6)*(4*l - 1)
Let y be (-1 - -1)*(-2910)/32010. Factor 3/4*p**3 + y - 39/2*p + 33/4*p**2.
3*p*(p - 2)*(p + 13)/4
Let x(j) = j**3 - 14*j**2 - 16*j + 17. Let k be x(15). Suppose -4*z - w = -85, k*z - 2 = -w + 43. Factor b**3 - z*b**2 - 4*b**3 - 15*b + b**3 - 3*b**3.
-5*b*(b + 1)*(b + 3)
Suppose f + 17 = 4*b, -21 = -4*b - 1. Suppose 3*t + 4*s = 147, -8*s + 38 = t - f*s. Factor 2 + 15 - 5 + 16*k**2 - t*k + k.
4*(k - 3)*(4*k - 1)
Suppose 78*z - 73*z - 18 = 2. Let x(w) be the third derivative of 3/4*w**3 + 0 + 6*w**2 + 17/32*w**z + 0*w + 1/16*w**5. Determine j so that x(j) = 0.
-3, -2/5
Let k(a) be the first derivative of -a**6/24 + 5*a**4/24 + a**2 - 14*a + 65. Let b(x) be the second derivative of k(x). Factor b(d).
-5*d*(d - 1)*(d + 1)
Let k(m) be the first derivative of -m**7/1344 + 17*m**6/2880 - m**5/60 + m**4/48 + 14*m**3/3 - 60. Let j(r) be the third derivative of k(r). Solve j(b) = 0.
2/5, 1, 2
Factor -142*n**2 - 3636 - 2930*n + 1474*n + 275*n**2 - 135*n**2 - 2182*n.
-2*(n + 1)*(n + 1818)
Factor 1/2 - 398*d + 79202*d**2.
(398*d - 1)**2/2
Let c(y) = -33*y + 301. Let l be c(9). Factor -709*w**2 - 11*w**5 + 705*w**2 - 16*w**3 - 20*w**l + 3*w**5.
-4*w**2*(w + 1)**2*(2*w + 1)
Let z(r) = r**3 - 14*r**2 + 18*r - 28. Let j be z(17). Factor -123*h - 1265 + j - 57*h + 27*h**2 - 354*h.
3*(h - 20)*(9*h + 2)
Suppose 2/9*f**4 - 101/9*f**2 - 83/9*f - 37/9*f**3 - 7/3 = 0. What is f?
-1, -1/2, 21
Let m(d) be the second derivative of 5/2*d**2 + 1 + 7/12*d**4 - 6*d + 1/20*d**5 + 11/6*d**3. Factor m(t).
(t + 1)**2*(t + 5)
Let p(g) be the first derivative of -2/33*g**3 + 60/11*g**2 - 76 - 1800/11*g. Factor p(q).
-2*(q - 30)**2/11
Let a(n) = -8*n**3 - 112*n**2 - 292*n + 400. Let x(o) = o**3 + 3*o**2 + o - 4. Let j(l) = -a(l) - 12*x(l). Factor j(k).
-4*(k - 22)*(k - 1)*(k + 4)
Let k(j) be the second derivative of j**6/240 - j**5/16 + j**4/4 + 47*j**3/6 + 36*j - 1. Let r(z) be the second derivative of k(z). Suppose r(x) = 0. What is x?
1, 4
Let t(i) = -i**2 - 32*i - 29. Let l be -39 - (-17 + 1)/2. Let u be t(l). Suppose -1/6 - 1/3*z + 1/3*z**3 + 1/6*z**4 + 0*z**u = 0. What is z?
-1, 1
Let x = 702 - 650. Let k be 0 + ((-1)/(-2))/(x/312). Find o, given that 0 + o + 3/4*o**2 - 1/4*o**k = 0.
-1, 0, 4
Let g(r) be the third derivative of -r**6/320 + 17*r**5/160 + r**4/64 - 17*r**3/16 + 2281*r**2. Factor g(u).
-3*(u - 17)*(u - 1)*(u + 1)/8
Determine b so that 5980*b - 45*b**4 - 620*b**3 - 69 - 343 + 11 - 1255*b**2 - 859 = 0.
-9, -7, 2/9, 2
Let p(v) be the second derivative of -19 + 4*v + 45/4*v**2 + 91/12*v**3 + 1/40*v**5 + 47/24*v**4. Factor p(l).
(l + 1)**2*(l + 45)/2
Let z(t) = -t**3 + 7*t**2 - 12. Let o be z(6). Factor -17*l**2 + 50*l**2 + 3*l**3 - o*l**2.
3*l**2*(l + 3)
Let v(u) be the third derivative of u**5/270 - 91*u**4/54 + 40*u**3/3 - 176*u**2 - u + 2. Factor v(a).
2*(a - 180)*(a - 2)/9
Factor 5970*o + 14*o**2 - 46*o**2 + 13*o**2 + 14*o**2 - 355338 - 1426707.
-5*(o - 597)**2
Let r be (-70)/105*(1 - -5). Let q be 442/117 + (-4)/(-18) + r. Factor 0*j**4 + 0 - 1/2*j - 1/2*j**5 + j**3 + q*j**2.
-j*(j - 1)**2*(j + 1)**2/2
Let l(p) = -p**3 + 3*p**2 + 9*p + 13. Let o be l(5). Factor -o*f + 117*f**2 + 3*f - 6 - 116*f**2.
(f - 6)*(f + 1)
Let p(t) = -2*t**3 - t**2 - 2*t - 1. Let s(b) be the first derivative of 3*b**4/4 - b**3/3 - b**2/2 + b + 273. Let u(y) = 5*p(y) + 5*s(y). Factor u(g).
5*g*(g - 3)*(g + 1)
Factor 0 - 13/11*j**2 + 1/11*j**4 - 2/11*j**3 - 10/11*j.
j*(j - 5)*(j + 1)*(j + 2)/11
Let x be (-27)/(-135) - 303/1965. Let f = 172/1965 + x. Factor -f*l + 2/15*l**2 - 4/15.
2*(l - 2)*(l + 1)/15
Suppose 0 = 4*g + 4*o - 18 - 26, 2*g - 4*o - 34 = 0. Suppose -27 = -7*t - g. Let 24 - 121*h**t + 3*h + h + 117*h**2 = 0. Calculate h.
-2, 3
Let n be ((-1242)/(-36))/69*(-1 + 5). Let l(w) be the first derivative of -2*w**n - 32 + 0*w + 2/3*w**3. Suppose l(z) = 0. Calculate z.
0, 2
Let x(w) be the third derivative of w**6/420 + 2*w**5/21 + 27*w**4/28 + 30*w**3/7 - 1128*w**2. What is q in x(q) = 0?
-15, -3, -2
Let m(t) be the second derivative of -37 - 8/9*t**3 - 2/3*t**2 - 4/9*t**4 + t. Factor m(o).
-4*(2*o + 1)**2/3
Let q(j) be the first derivative of 2*j**5/5 + 3*j**4/2 - 48*j**3 + 176*j**2 + 2416. Factor q(v).
2*v*(v - 4)**2*(v + 11)
Let h be 10 + -2 + 20/(-6 + 1). Let 39*n**3 + 8*n**4 + 16*n**h + 26*n**2 - 8*n**2 + 3*n**5 = 0. Calculate n.
-6, -1, 0
Factor 71/4*o**2 + 1/4*o**3 + 729/4 - 801/4*o.
(o - 9)*(o - 1)*(o + 81)/4
Let o(i) = 18*i + 92. Let n be o(-5). Suppose 5*z = -3*p - 15 - 5, n*z = 5*p - 8. Determine w so that 0*w + 4/7*w**4 + p*w**2 + 0 - 4/7*w**3 = 0.
0, 1
Let u be (27 - 186/6)/(-11). Determine n so that -u*n + 0 - 6/11*n**3 - 10/11*n**2 = 0.
-1, -2/3, 0
Let v(l) be the third derivative of l**5/36 + 3935*l**4/72 + 655*l**3/3 - 2*l**2 + 2032. Factor v(w).
5*(w + 1)*(w + 786)/3
Factor -12*l**3 + 0 + 1/2*l**5 + 2*l**2 + 16*l + 5/2*l**4.
l*(l - 2)**2*(l + 1)*(l + 8)/2
Let j = -50 + -1. Let o = j + 53. Factor 4*m**3 - 2*m**3 + 6*m + 5*m**2 - m**o + 2*m**2 + 2.
2*(m + 1)**3
Let m(p) be the first derivative of p**4/4 - 1232*p**3/3 + 189728*p**2 + 3989. Determine s, given that m(s) = 0.
0, 616
Let n(u) be the third derivative of u**9/15120 + u**8/720 + 4*u**5/15 + u**3/3 - u**2 + 10*u. Let g(f) be the third derivative of n(f). Let g(v) = 0. What is v?
-7, 0
Let 0 + 0*x - 1/3*x**4 + 0*x**2 + 7/3*x**3 = 0. Calculate x.
0, 7
Suppose z + 8*d - 3*d + 13 = 0, 34 = 2*z - 2*d. Find j such that -2*j**5 - 12 + 15*j**2 - j**5 - z*j - 649*j**4 + 7*j**3 + 646*j**4 + 8*j**3 = 0.
-2, -1, 1, 2
Let f(i) = 92*i - 3586. Let m be f(39). Let z(v) be the first derivative of -1/4*v**3 - 15/8*v**m + 9/2*v + 4. Determine s, given that z(s) = 0.
-6, 1
Let r(g) be the first derivative of -g**3/3 + g**2/2 + 15*g - 9. Let b be r(4). Factor 2*l**4 - 4*l + 8*l**2 + 6*l**b - 14*l + 4*l**3 - 2*l**2.
2*l*(l - 1)*(l + 3)**2
Let p(z) be the first derivative of z**6/1260 - 5*z**5/42 + 625*z**4/84 - 2*z**3/3 + 39*z**2/2 + 25. Let r(s) be the third derivative of p(s). Factor r(d).
2*(d - 25)**2/7
Let t(k) = -k**3 + 3*k**2 + 11*k + 5. Let m be t(-2). Let -3*n**3 + 0*n**3 + 0*n + m*n - 5*n**3 + 5*n**3 = 0. Calculate n.
-1, 0, 1
Suppose -9 = -i - r - 4, 0 = 2*r - 4. Let t(l) = 8*l - 10*l + i*l. Let s(d) = -3*d**3 - 6*d**2 + 12*d. Let q(z) = -s(z) + 15*t(z). Factor q(k).
3*k*(k + 1)**2
Let f = 457 - 437. Suppose -10*j + 6*j + 3*c = 12, -5*c = 2*j - f. Find z such that 3/4*z**4 - 3*z**2 + j*z + 0 + 0*z**3 = 0.
-2, 0, 2
Let x(z) be the first derivative of z**5/100 - 7*z**4/20 - 3*z**3/2 + 23*z**2 - 3. Let a(m) be the second derivative of x(m). Suppose a(v) = 0. Calculate v.
-1, 15
Let l(p) = 9*p**2 - 33*p. Let x(y) = -y**2 + 9*y + 4. Let h be x(10). Let s(q) = q**2 - q. Let b(a) = h*s(a) + l(a). Let b(j) = 0. What is j?
0, 9
Find c, given that -2*c**2 - 367 - 5*c**2 + 5*c**2 - 191 - c**2 - 195*c = 0.
-62, -3
Let f(z) = z**2 - 93*z + 1952. Let s be f(32). Let x(b) be the third derivative of 3*b**2 + s*b + 1/12*b**4 + 0 + 1/120*b**5 + 1/3*b**3. Factor x(u).
(u + 2)**2/2
Let n be 2/6 + (-171)/27. Let d be (-4)/(-14) - (n - (-138)/42). Factor 3*s**3 + 8*s**2 - 8*s**d - 20*s**2 + 3 - s**3 + 9*s**4 + 6*s.
3*(s - 1)**2*(s + 1)*(3*s + 1)
Determine o so that -336/5 - 1006/5*o + 6/5*o**2 = 0.
-1/3, 168
Determine o so that 4 + 15404*o**2