 2/3*t**2 + 0 + 2/3*t**x - 2/3*t**4 + 0*t = 0. What is t?
-1, 0, 1
Let h(y) = 5*y**2 + 37*y + 144. Let r(w) = -w**2 + 6*w + 1. Let k(u) = -h(u) - 6*r(u). Factor k(v).
(v - 75)*(v + 2)
Factor 34/5*f**4 + 0 + 0*f + 2/5*f**5 + 132/5*f**3 + 0*f**2.
2*f**3*(f + 6)*(f + 11)/5
Let o be (-2*((-3)/(-6) + 1))/(-1). Factor o + 20*x**2 + 42*x**2 - x**3 - 7*x - 57*x**2.
-(x - 3)*(x - 1)**2
Let v(a) be the third derivative of -a**7/70 + a**6/20 + 3*a**5/20 - a**4 + 2*a**3 - 3651*a**2 - 1. Solve v(t) = 0 for t.
-2, 1, 2
Let z be (-96)/18 + -2*3/9. Let s be 318/252 - 1/z. Find a, given that 2/7*a**2 + 0 - s*a = 0.
0, 5
Let x(c) be the third derivative of -1/1344*c**8 - 1/240*c**6 + 0*c**3 + 9*c**2 + 0*c**4 + 0*c - 1/280*c**7 + 0*c**5 + 2. What is w in x(w) = 0?
-2, -1, 0
What is p in 59*p + 397*p**2 + 21*p**3 + 27*p**3 - 54*p - 142*p**2 - 255 - 53*p**3 = 0?
-1, 1, 51
Let a(m) be the third derivative of 0 + m + 175/6*m**4 + 1/48*m**6 - 31/24*m**5 + 4*m**2 - 245*m**3. Find u such that a(u) = 0.
3, 14
Let u be (-724)/(-905)*(4 + 1). Let y(i) be the second derivative of -1/14*i**u + 26*i + 1/70*i**5 - 1/7*i**2 + 0 + 1/7*i**3. Let y(b) = 0. What is b?
1
Let w(z) be the second derivative of -1/3*z**3 + 0 + 1/54*z**4 - 10/9*z**2 - 25*z. Factor w(s).
2*(s - 10)*(s + 1)/9
Let n(d) = 7*d**2 + 3*d - 2. Let r be n(-1). Determine c, given that -c - 1 - 3*c**2 - 2 - c**2 + 9 + 3*c**r = 0.
-3, 2
Let k(q) be the second derivative of 15/4*q**3 - 81*q - 6*q**2 - 3/40*q**5 - 3/4*q**4 + 0. Factor k(h).
-3*(h - 1)**2*(h + 8)/2
Solve 4/3*f**3 + 80/3*f**2 - 320/3 - 16/3*f = 0 for f.
-20, -2, 2
Let d(v) be the third derivative of -v**7/8820 + 11*v**6/2520 + v**5/35 - v**4/12 + 3*v**3/2 + 76*v**2. Let m(a) be the second derivative of d(a). Factor m(s).
-2*(s - 12)*(s + 1)/7
Let d(u) be the first derivative of -5*u**6/4 - 1341*u**5/10 - 2217*u**4/4 - 690*u**3 - 258*u**2 - 2366. Suppose d(a) = 0. Calculate a.
-86, -2, -1, -2/5, 0
Suppose -721*m - 2028 = -695*m. Let l be 13/m*0*2/4. Factor -1/3*c + 1/6*c**2 - 1/6*c**4 + 1/3*c**3 + l.
-c*(c - 2)*(c - 1)*(c + 1)/6
Determine a, given that -254189 - 3*a**2 + 386*a - 90574 - 1381*a - 1096*a + 57*a = 0.
-339
Let l be (0 - -3)*346/6. Suppose l = 4*o + i, 7*i + 15 = 2*i. Solve -b**5 + 91*b**4 - 49*b**4 - o*b**4 = 0.
-2, 0
Let l be (-4667 - -4653) + (-3 - 219/(-12)). Factor -l*o + 25/8 + 1/8*o**2.
(o - 5)**2/8
Let p(y) = -2*y**2 + 112*y + 4. Let i be p(56). Let l(w) be the second derivative of 0 - 1/2*w**i + 0*w**3 + 3/20*w**5 + 0*w**2 + 14*w. Factor l(r).
3*r**2*(r - 2)
Let t be (-126)/2016 + (-333)/48 - (-14 - -4). Factor 16/21 + 2/21*l**t + 8/7*l + 4/7*l**2.
2*(l + 2)**3/21
Suppose -3*d + 6 = -6*h + 3*h, -h = -3*d + 10. Suppose 6 = 5*l + 3*c, 2*l - c + 2 = 7*l. Factor -4*s + 2*s + 0*s - 7*s**3 + l*s**h - 9*s**2.
-s*(s + 1)*(7*s + 2)
Let m = 34/36819 - 103130767/810018. Let b = m - -255/2. Find x such that -8/11*x + b*x**2 + 6/11 = 0.
1, 3
Suppose -19 + 23 = 2*l. Suppose 818*i**l - 160*i - 1055*i**3 - 73 + 10*i**2 - 168*i**2 + 340*i**4 - 87 - 35*i**5 + 410*i**2 = 0. Calculate i.
-2/7, 1, 4
Determine u so that 120 + 338/3*u**2 - 216*u - 2/3*u**4 - 16*u**3 = 0.
-30, 1, 2, 3
Let a = -29848 - -507418/17. Factor -6/17 + a*p**3 - 10/17*p**2 + 14/17*p.
2*(p - 3)*(p - 1)**2/17
Let s = 867 - 734. Factor 54*x**2 - 6*x**4 - 2*x**5 + 0*x**5 - s*x**3 - 2*x**5 + 2*x**5 + 151*x**3.
-2*x**2*(x - 3)*(x + 3)**2
Let n(f) be the first derivative of -2*f**5/25 + 37*f**4/5 - 216*f**3 + 2840*f**2 - 17600*f + 4099. Solve n(w) = 0 for w.
10, 44
Factor -24 + 66/7*b - 6/7*b**2.
-6*(b - 7)*(b - 4)/7
Let v = -8902 - -1246281/140. Let x(i) be the second derivative of -5/84*i**4 - v*i**5 + 1/42*i**3 + 0 + 5/14*i**2 - 16*i. Factor x(p).
-(p - 1)*(p + 1)*(p + 5)/7
Let o(l) be the second derivative of l**6/90 - l**4/9 - 6058*l. Factor o(c).
c**2*(c - 2)*(c + 2)/3
Let x(w) be the third derivative of -w**5/60 + 487*w**4/24 - 81*w**3 + 3*w**2 + 4. Factor x(v).
-(v - 486)*(v - 1)
Let w(n) = -6*n**3 - 263*n**2 - 628*n - 183. Let t(h) = 24*h**3 + 1045*h**2 + 2510*h + 733. Let i(m) = -3*t(m) - 13*w(m). Factor i(p).
2*(p + 2)*(p + 45)*(3*p + 1)
Let u = -470 + 1009/2. Let w(r) = -r + 20. Let f be w(16). Suppose 9 - 21/2*i**3 + 15/2*i**f - 15/2*i - u*i**2 = 0. Calculate i.
-1, 2/5, 3
Suppose -5*g - 10*r = -110, g - 1 = -r + 18. Let t(x) be the first derivative of -g + 9/2*x**2 - 5*x**3 + 3/4*x**4 + 27*x. Suppose t(y) = 0. What is y?
-1, 3
Let p(m) be the first derivative of m**5/24 + 35*m**4/36 - 155*m**3/36 + 20*m**2/3 - 76*m + 45. Let g(s) be the first derivative of p(s). Factor g(z).
5*(z - 1)**2*(z + 16)/6
Suppose -23/2*a**3 + 21025/6*a - 319/2*a**2 + 73167 - 1/6*a**4 = 0. Calculate a.
-29, 18
Let r be (-1*2/(-8))/(-5 - 195/(-30)). Let i(y) be the first derivative of -5/2*y**2 - r*y**3 - 25/2*y + 21. Find n, given that i(n) = 0.
-5
Let q = 889572/5 + -178520. Let a = 607 + q. Let -a*u + 2/5 + u**2 = 0. What is u?
2/5, 1
Let o(u) be the first derivative of 18 + 1/60*u**5 + 0*u**2 + 19*u - 1/27*u**3 - 1/108*u**4. Let d(s) be the first derivative of o(s). Factor d(r).
r*(r - 1)*(3*r + 2)/9
Let r(y) be the third derivative of -y**7/945 - 67*y**6/540 + 139*y**5/270 + 67*y**4/108 - 46*y**3/9 + 642*y**2. Determine f, given that r(f) = 0.
-69, -1, 1, 2
Let m(o) = -4*o**3 - 3 - 8*o - 7*o**2 + 3*o**3 + 16 - 3*o**2. Let p be m(-9). Factor -20*c - c**3 - 20*c**2 + 2*c - p*c**3 - 2*c.
-5*c*(c + 2)**2
Let m(n) be the second derivative of -n**7/42 + 2*n**6/15 + 29*n**5/20 + 7*n**4/3 - 14*n**3/3 - 16*n**2 + 3889*n. Suppose m(l) = 0. What is l?
-2, -1, 1, 8
Let a(z) be the first derivative of -z**8/560 - z**7/280 + z**6/60 + 2*z**3/3 + 12*z**2 + 25. Let y(p) be the third derivative of a(p). Solve y(h) = 0.
-2, 0, 1
Let m(z) be the third derivative of -z**5/15 + 1390*z**4/3 - 3864200*z**3/3 - 2832*z**2. Determine o so that m(o) = 0.
1390
Let f(u) be the second derivative of u**4/18 + 32*u**3 - u - 176. Suppose f(q) = 0. Calculate q.
-288, 0
Suppose -22 - 3 = -u + w, -19 = -u + 4*w. Solve 6*p + 5*p - 19*p + 5*p + 4*p**3 + u*p**2 - 27 - p**3 = 0.
-9, -1, 1
Let k(b) = 130*b**3 + 120*b**2 - 290*b + 40. Let c(i) = 195*i**3 + 179*i**2 - 434*i + 60. Let g(o) = 5*c(o) - 7*k(o). Factor g(s).
5*(s - 1)*(s + 2)*(13*s - 2)
Suppose 4*b - c + 86 = 94, 10 = 5*b - 2*c. Let d(f) be the first derivative of 0*f**b + 4 + 0*f + 1/8*f**3 - 3/32*f**4. Find h such that d(h) = 0.
0, 1
Let j = 305327/20820 + 11/6940. Factor -32/3*d - j*d**2 + 80/3 - 4/3*d**3.
-4*(d - 1)*(d + 2)*(d + 10)/3
Let 1490 + 576*v**2 - 185*v**2 - 755*v - 185*v**2 - 201*v**2 = 0. Calculate v.
2, 149
Let t(y) be the second derivative of 2*y**6/45 - 13*y**5/12 + 25*y**4/12 + 184*y. Factor t(j).
j**2*(j - 15)*(4*j - 5)/3
Factor 844/7*x + 150/7*x**2 + 1104/7 + 2/7*x**3.
2*(x + 2)*(x + 4)*(x + 69)/7
Determine o so that -35*o**5 + 40*o + 45*o**4 + 376567*o**3 - 290*o**2 + 110*o**2 - 376437*o**3 = 0.
-2, 0, 2/7, 1, 2
Let w(g) be the second derivative of g**7/210 + g**6/30 + g**5/100 - 7*g**4/20 - 3*g**3/5 + 139*g + 3. Factor w(x).
x*(x - 2)*(x + 1)*(x + 3)**2/5
Suppose -526*x = 448*x - 1948. Suppose 21/5 + 4/5*z - 1/5*z**x = 0. What is z?
-3, 7
Let y(n) be the first derivative of -10*n**6/9 + 9*n**5 - 55*n**4/4 - 50*n**3/9 - 1359. Determine x so that y(x) = 0.
-1/4, 0, 2, 5
Let r(h) be the first derivative of -3*h**4/16 - 42*h**3 + 513*h**2/8 + 507*h/2 - 1199. Factor r(d).
-3*(d - 2)*(d + 1)*(d + 169)/4
Suppose -5*h = -6*h + 2 - 2. Let v(p) be the second derivative of 4/27*p**3 + 0*p**2 - 10*p - 1/135*p**6 - 1/30*p**5 + h*p**4 + 0. Let v(n) = 0. What is n?
-2, 0, 1
Let t = 151 + -146. Factor 187*y + 24 - 2*y**2 + 3*y**3 + 55*y**2 + 3*y**t - 2*y**2 - 253*y - 15*y**4.
3*(y - 4)*(y - 1)**3*(y + 2)
Suppose 0 = 2*y + 4*j - 8, 135 = -14*y + 4*j + 159. Factor 3/5*q**y - 3*q + 0.
3*q*(q - 5)/5
Let b be 7/(35/20)*66/132. Find m such that -1352/15 + 104/15*m - 2/15*m**b = 0.
26
Let q = 18503/12 + -91939/60. Suppose 39/5*h**2 + 648/5*h**4 + 0*h - 63*h**3 + 0 - q*h**5 = 0. What is h?
0, 1/4, 13
Let f(y) be the third derivative of y**6/80 - 11*y**5/20 - 101*y**4/16 - 39*y**3/2 - 4*y**2 + 136. Factor f(l).
3*(l - 26)*(l + 1)*(l + 3)/2
Suppose -4*w - 53*u = -56*u + 28, 5*w + 5*u - 70 = 0. Determine a so that 51/8*a**w - 63/8*a - 27/8 - 9/8*a**3 = 0.
-1/3, 3
Suppose -65