-3*c**3 - 4 - 192*c + 36*c**2 + 3/32*c**4. What is f in o(f) = 0?
8
Let d = 118/593 - 112/6523. Let 12/11 - d*k - 2/11*k**2 = 0. What is k?
-3, 2
Let t = 583561/360 - 1621. Let j(h) be the third derivative of 32*h**2 - t*h**5 + 0*h**4 + 0*h**3 + 0 + 0*h. Solve j(s) = 0 for s.
0
Let g(n) be the third derivative of 0*n**4 + 0*n**3 + 19/80*n**6 + 2*n + 3/20*n**5 + 3/40*n**7 + 20*n**2 + 0 + 5/896*n**8. What is j in g(j) = 0?
-6, -2, -2/5, 0
Factor 1/2*a**3 + 223/2*a**2 - 6272 + 6160*a.
(a - 1)*(a + 112)**2/2
Let l be ((-6)/(-3) - 23)*2524/(-12). What is b in -6*b**2 + 31*b**2 - l*b**3 + 4412*b**3 + 5*b - 25 = 0?
-1, 1, 5
Let o(y) be the first derivative of 16/15*y**3 + 3/5*y**2 + 3/5*y**4 - 1/15*y**6 + 0*y + 60 + 0*y**5. Let o(s) = 0. Calculate s.
-1, 0, 3
Determine k, given that -1/6*k**3 - 130*k + 29/3*k**2 - 300 = 0.
-2, 30
Let w(j) be the first derivative of j**6/120 + j**5/15 + 5*j**4/24 + j**3/3 - 3*j**2/2 - 13*j - 106. Let t(d) be the second derivative of w(d). Factor t(g).
(g + 1)**2*(g + 2)
Suppose -6*z + 36 = -0*z. Suppose -2*g + z = -4*o, -o = o. Factor -6*f**3 + 0*f**3 + 4*f**g.
-2*f**3
Let z(g) be the third derivative of 5*g**7/126 + g**6/9 - 47*g**5/90 + 4*g**4/9 - g**3/6 - 43*g**2 + 3*g + 12. Factor z(o).
(o - 1)*(o + 3)*(5*o - 1)**2/3
Let n(p) be the second derivative of -p**7/42 + 17*p**6/30 + 61*p**5/20 - 17*p**4/12 - 10*p**3 + 31*p + 12. Let n(v) = 0. What is v?
-3, -1, 0, 1, 20
Let b(d) be the second derivative of 1/12*d**4 - 17*d - 2 - 1/2*d**3 + 0*d**2 + 1/12*d**5 + 1/90*d**6. Suppose b(a) = 0. What is a?
-3, 0, 1
Suppose 87*b - 202 + 14 = 73. Let r = -312/77 - -36/7. Solve 0 - 6/11*p**b + 0*p - r*p**2 = 0 for p.
-2, 0
Let k(h) be the second derivative of -3*h**5/100 - 279*h**4/2 - 5577*h**3/10 - 4182*h**2/5 + 5988*h. Let k(n) = 0. Calculate n.
-2788, -1
Let c = -30 + 53. Suppose -q + 4 = -a, -q + 3*q = -4*a - 4. Factor 21*k**3 + 3*k**q + 5*k**2 - 6*k - c*k**3.
-2*k*(k - 3)*(k - 1)
Suppose 1309*g - 1304*g - 11 = 2*x, 5*x = 7*g - 11. Factor -2/5*o**x + 28/5 - 2*o.
-2*(o - 2)*(o + 7)/5
Let a(s) be the second derivative of 5/3*s**3 - 7/36*s**5 + 95/72*s**4 - 13*s + 0 + 8*s**2. Let u(h) be the first derivative of a(h). Factor u(o).
-5*(o - 3)*(7*o + 2)/3
Let l(o) be the first derivative of -2*o**5/5 + 171*o**4/2 - 340*o**3/3 + 420. Factor l(x).
-2*x**2*(x - 170)*(x - 1)
Let m = 1071601/250040 + -1/250040. Let -69/7*y**2 + 9/7*y**4 - m*y**3 - 30/7*y + 0 = 0. Calculate y.
-1, -2/3, 0, 5
Let l(f) = -f**3 - 5*f**2 - 7*f - 8. Let u be l(-4). Suppose 0*o + 10 = -o + 3*k, -u*o + 10 = -2*k. Factor o*x**2 - 5*x**4 - 2*x**2 + 13*x**2 + 4*x**2.
-5*x**2*(x - 2)*(x + 2)
Let u(g) = 18*g**2 + 96*g - 300. Let f(p) = -2*p**2 + p. Let y(d) = -10*f(d) - u(d). Factor y(b).
2*(b - 50)*(b - 3)
Let h(i) be the second derivative of 2/3*i**3 + 4*i + 1/60*i**6 + 5/12*i**4 + 0 + 2/15*i**5 + 8*i**2. Let f(q) be the first derivative of h(q). Factor f(y).
2*(y + 1)**2*(y + 2)
Let g(a) be the third derivative of a**5/210 + 11*a**4/42 - 16*a**3/7 + a**2 + 417. Find l such that g(l) = 0.
-24, 2
Let w be 686/735 + 15/(-25). Let j(x) be the second derivative of 0 + 26*x + 1/6*x**4 - w*x**3 + 0*x**2. Solve j(u) = 0 for u.
0, 1
Let g be 3 + 1 + 3*464/(-609). Suppose g - 2/7*j - 2/7*j**2 = 0. Calculate j.
-3, 2
Let y(g) be the third derivative of g**6/80 + 303*g**5/40 + 75*g**4/4 - 151*g**3 + 3722*g**2. Factor y(q).
3*(q - 1)*(q + 2)*(q + 302)/2
Let q(x) = 28*x**4 + 60*x**3 + 48*x**2 - 15*x. Let k(i) = 13*i**4 + 30*i**3 + 24*i**2 - 6*i. Let j(n) = -5*k(n) + 2*q(n). Factor j(u).
-3*u**2*(u + 2)*(3*u + 4)
Let i = -527 - -525. Let p(q) = 2. Let z(g) = g**3 + 64*g**2 - 131*g + 60. Let j(m) = i*z(m) - 6*p(m). Find t, given that j(t) = 0.
-66, 1
Let q(y) be the second derivative of y**6/120 + 287*y**5/40 + 81793*y**4/48 - 6888*y**3 + 10368*y**2 + 294*y + 3. Factor q(m).
(m - 1)**2*(m + 288)**2/4
Suppose -5*p = -3*j + 27, 6*p - 5 = -2*j + 5*p. Let q(z) be the second derivative of 1/100*z**5 - 1/15*z**j + 0*z**2 + 1/10*z**3 + 0 + 9*z. Factor q(k).
k*(k - 3)*(k - 1)/5
Let s(l) = -948*l - 192. Let d(v) = -50*v - 10. Let f(j) = -96*d(j) + 5*s(j). Let n(w) = -w**2 - 182*w. Let o(p) = -7*f(p) - 2*n(p). Let o(i) = 0. Calculate i.
0, 28
Let c(a) = 40*a**2 - 75*a + 5. Let x(w) = -3*w**2 - 8. Let l(n) = 5*c(n) + 20*x(n). Factor l(u).
5*(u - 3)*(28*u + 9)
Find y, given that 2/5*y - 6/5*y**3 + 0 + 4/5*y**2 = 0.
-1/3, 0, 1
Let w = 6563 + -295333/45. Let u(h) be the second derivative of 0*h**3 + w*h**6 + 1/15*h**5 + 0*h**2 + 0 + 0*h**4 - 11*h. Find q such that u(q) = 0.
-1, 0
Let r(p) be the third derivative of p**6/720 + p**5/60 - 2*p**4/3 - 160*p**3/9 + 983*p**2 + 2*p. Factor r(c).
(c - 10)*(c + 8)**2/6
Let b(m) be the second derivative of m**7/357 - m**6/15 + 47*m**5/85 - 22*m**4/17 - 120*m**3/17 + 864*m**2/17 + 481*m. Let b(z) = 0. What is z?
-2, 3, 4, 6
Suppose 267 + 75 = 3*j. What is f in -41 - 18 + j*f + 37 + 11*f**2 + 5*f = 0?
-11, 2/11
Let j(p) = -5*p - 1 + 0 - 20*p + 19*p**2. Let l(c) = 6*c**2 - 8*c. Suppose -8*t + 86 = -26. Let d(n) = t*l(n) - 4*j(n). Solve d(r) = 0.
1/2, 1
Suppose 2*y + 4*r = -4, 15*y - 4*r + 218 = 290. Factor -20*s - 15 - 5/3*s**y + 20/3*s**3 + 10/3*s**2.
-5*(s - 3)**2*(s + 1)**2/3
Let c(y) = 87*y - 75. Let o(f) = 5*f. Let x(t) = -3*c(t) + 63*o(t). Let h be x(-4). Factor -1/3*r**3 - h*r**2 - 81*r - 243.
-(r + 9)**3/3
Let w(p) be the second derivative of p**7/14 + 137*p**6/150 + 67*p**5/20 + 343*p**4/60 + 77*p**3/15 + 12*p**2/5 + 4*p + 617. Suppose w(d) = 0. What is d?
-6, -1, -4/5, -1/3
Let l = -9407446998/16931915 + 46/1302455. Let b = 3928/7 + l. Factor 2/13*d**2 + b - 24/13*d.
2*(d - 6)**2/13
Let q(m) be the first derivative of -2*m**5/85 + 13*m**4/34 - 94*m**3/51 + 59*m**2/17 - 48*m/17 + 262. Suppose q(j) = 0. Calculate j.
1, 3, 8
Let t(s) be the first derivative of s**3/18 - 49*s**2/6 + 155*s/2 + 3174. Factor t(x).
(x - 93)*(x - 5)/6
Suppose -3*f = 12, -708 = 3*u - 3*f - 0*f. Let g be u/(-72)*3/2 - 1. What is b in 196*b - 343 - 42*b**2 + 4*b**3 - 1/7*b**g = 0?
7
Let n(h) = -14*h + 522. Let a be n(0). Suppose a = 2*u + 518. Factor 1/10*f + 0 - 1/5*f**u.
-f*(2*f - 1)/10
Let t(i) be the first derivative of -5*i**6/36 - 7*i**5/6 - 10*i**4/3 - 10*i**3/3 - 3274. Determine y, given that t(y) = 0.
-3, -2, 0
Determine m so that 45 + 23/2*m + 1/2*m**2 = 0.
-18, -5
Suppose -4*k - 3*g + 144 = 0, 70 = 13*k - 11*k + g. Find y, given that -k*y**2 - 13*y + 48*y - 5 + 3*y**2 = 0.
1/6, 1
Let b(v) be the first derivative of -140 - 3/16*v**2 - 1/24*v**3 + 0*v. Determine p, given that b(p) = 0.
-3, 0
Let a be (-28)/(-20) - 1 - 32/(-20). Suppose -a*s = 4*x - 256, x + 2*x - s - 192 = 0. Factor -1149*j**2 + 11 + 1017*j**2 + 5 - x*j.
-4*(3*j + 2)*(11*j - 2)
Let n(t) be the first derivative of -146 + 5/6*t**6 - 6480*t - 6680/3*t**3 + 190*t**4 + 31*t**5 + 6120*t**2. Let n(y) = 0. What is y?
-18, 1, 2
Let m(t) = -t + 10. Let b(s) = -2*s + 30. Let c(l) = -3*b(l) + 8*m(l). Let x be c(-6). Factor -6*i**5 + 2*i**5 - 3*i**5 + x*i**4 + 8*i**5.
i**4*(i + 2)
Let k = 310156 - 310153. Let p = 23/4 - 37/12. Factor 0 + 0*w - 4/3*w**2 + p*w**k + 4*w**4.
4*w**2*(w + 1)*(3*w - 1)/3
Let d(j) = -36*j**4 + 26*j**3 + 2302*j**2 - 1534*j + 254. Let q(s) = 72*s**4 - 53*s**3 - 4605*s**2 + 3067*s - 507. Let i(g) = 5*d(g) + 2*q(g). Solve i(x) = 0.
-8, 1/3, 8
Suppose 4*h = q - 0*q + 168, -5*q = -5*h + 210. Let s = h - 40. Factor 2*i**2 + 15*i**2 + 3*i**4 + 20*i + 3*i**s - 5*i**3 - 8*i**4.
-5*i*(i - 2)*(i + 1)*(i + 2)
Let f(j) be the second derivative of j**6/15 - 7*j**5/2 + 127*j**4/3 - 532*j**3/3 + 312*j**2 + j + 2158. Find h such that f(h) = 0.
1, 2, 6, 26
Factor -10/7*h**2 - 5574/7*h - 2228/7.
-2*(h + 557)*(5*h + 2)/7
Let w = 175337 - 525997/3. Let 0 + 4*i + 2/3*i**5 + 2/3*i**4 - 2/3*i**2 - w*i**3 = 0. Calculate i.
-3, -1, 0, 1, 2
Let g(l) be the third derivative of -l**8/26880 + l**7/1440 + l**4/12 + 17*l**3/6 + 16*l**2 - 4. Let j(v) be the second derivative of g(v). Factor j(n).
-n**2*(n - 7)/4
Let a = 941/3 - 313. Suppose -133*h = -126*h - 35. Solve 4/3*u**h + 0 - a*u**2 + 0*u - 10/3*u**4 + 8/3*u**3 = 0 for u.
0, 1/2, 1
Let w(j) be the first derivative of -j**3/24 + 1883*j**2/8 - 3545689*j/8 + 5271. Factor w(q).
-(q - 1883)**2/8
Let i be -30 - -39 - ((-6)/(-2) + 0). Factor -24 + 23*t**3 - 8*t**3