60*s**3/3 + 1320*s**2 + 4699*s. Factor z(h).
-5*(h - 6)*(h + 2)**2*(h + 22)
Let j(u) = -u**3 + 12*u**2 - 23*u - 179. Let o be j(12). Let l = o - -6827/15. Find t, given that -2/5*t**3 - l*t**5 + 0*t**2 - 8/15*t**4 + 0 + 0*t = 0.
-3, -1, 0
Let n(i) = -3*i**3 + 11*i**2 + 1272*i - 3830. Let a be n(3). Solve 0 + 0*d - 46/3*d**3 + 10/3*d**a - 20/3*d**2 = 0 for d.
-2/5, 0, 5
Let v(r) = 3*r**2 - 9*r - 3. Let g(i) = -i**3 + 7*i**2 - 15*i - 5. Let w = 535 - 538. Let y(j) = w*g(j) + 5*v(j). Factor y(n).
3*n**2*(n - 2)
Let j(p) be the second derivative of -69*p + 1/30*p**6 + 0 + 0*p**2 + 1/2*p**3 - 3/20*p**5 - 1/12*p**4. Factor j(w).
w*(w - 3)*(w - 1)*(w + 1)
Let x(u) be the second derivative of u**7/126 - u**6/45 - 7*u**5/15 + 26*u**4/9 - 16*u**3/3 - 359*u. Find t such that x(t) = 0.
-6, 0, 2, 4
Let h be (-1300)/(-585) - 49/(-63). Find l, given that -12/7*l**2 - 2/7*l**h - 18/7*l - 8/7 = 0.
-4, -1
Let a(d) = 553*d**2 + 2*d + 24. Let h(c) = -4419*c**2 - 15*c - 198. Let v(j) = -33*a(j) - 4*h(j). Factor v(w).
-3*w*(191*w + 2)
Let n(f) = -5*f. Let h(q) = 8*q**2 - 1. Let z be h(-1). Let d(i) = 2*i + z*i + 6*i + i**2. Let o(x) = -5*d(x) - 15*n(x). Solve o(a) = 0.
0
Let -742*j + 2040 + 7444*j**2 + 6*j**3 + 2774*j - 8982*j**2 = 0. What is j?
-2/3, 2, 255
Let i(m) = -5*m**3 - 25*m**2 + 95*m. Let o(t) = 2*t**3 + 12*t**2 - 47*t. Suppose 3*h + q + 1 = -11, -h - 4*q = 15. Let u(j) = h*i(j) - 5*o(j). Factor u(l).
5*l*(l - 2)*(l + 5)
Let f = 182 - 151. What is q in q**3 + 33*q**5 + 29*q**5 + f*q**5 + 2*q**2 - 2*q**4 - 94*q**5 = 0?
-2, -1, 0, 1
Let f = 7 + -5. Suppose v - 21 = -f*v + 3*c, -2*v - 7 = 5*c. Factor 35*t**v + 35*t**4 - 106*t**4 + 41*t**4 - 20*t**2.
5*t**2*(t - 2)*(t + 2)
Factor 96*c**2 + 87*c**2 + 102*c + 61*c**2 - 31*c**2 - 42*c**2 + 27*c**3.
3*c*(3*c + 2)*(3*c + 17)
Let o(a) = -3*a**2 + 15*a - 4. Let j be o(6). Let r = j + 24. Factor 4 - f - 7 - 8*f**r - 5*f**3 + 5.
-(f + 1)**2*(5*f - 2)
Let v be 1716/(-26)*19/(-76). Factor -v*k - 3 - 27/2*k**2.
-3*(k + 1)*(9*k + 2)/2
Suppose 11*i - 187 + 220 = 0. Let m be ((-15)/(-3) + (-1)/i)/1. Factor 2*c**2 - 20/3*c - m.
2*(c - 4)*(3*c + 2)/3
Let w(u) be the first derivative of 17 + 1/30*u**5 + 4*u**2 + 0*u + 0*u**3 + 1/6*u**4. Let q(j) be the second derivative of w(j). Factor q(s).
2*s*(s + 2)
Let t(v) be the second derivative of -2/21*v**7 + 0 + 57*v - 8/3*v**3 - 4/15*v**6 + v**5 + 10/3*v**4 - 16*v**2. Determine i, given that t(i) = 0.
-2, -1, 1, 2
Factor 25818560 - b**3 - 92516198 - 113768*b - 34497058 - 1398*b**2 - 537700*b.
-(b + 466)**3
Let j = -343 + 347. Factor -48*i**2 - 36*i + i**j + i**4 - 2*i**3 - 7*i**3 + i**4.
3*i*(i - 6)*(i + 1)*(i + 2)
Let c(s) be the second derivative of s**5/6 + s**4/2 + s**3/3 - s**2/3 - s + 187. Find r, given that c(r) = 0.
-1, 1/5
Let x be (-4)/(-6) - (-1)/(-6). Let i(s) = -s**2 + 1637*s - 105040. Let c be i(67). Factor c*b + 15*b**2 + 500 + x*b**3.
(b + 10)**3/2
Let x be ((-43134)/(-112))/((-6)/4). Let m = x - -257. Factor 0 + 3/4*d + m*d**2.
d*(d + 3)/4
Let r = 410909/6 + -68484. Factor 0*u**2 - r*u + 5/6*u**3 + 0.
5*u*(u - 1)*(u + 1)/6
Let j(z) be the third derivative of z**5/240 - 17*z**4/48 + 145*z**3/24 + 927*z**2. Factor j(x).
(x - 29)*(x - 5)/4
Let l(b) = -20*b**2 + 206*b - 56. Let c be l(10). Let t(d) be the first derivative of 3*d - d**3 - 3/4*d**c + 3/2*d**2 - 1. Factor t(m).
-3*(m - 1)*(m + 1)**2
Solve -9/4*y**5 - 3/4*y**3 + 0*y + 0 + 0*y**2 - 7*y**4 = 0 for y.
-3, -1/9, 0
Let i(c) be the second derivative of 0 - 2*c**2 + 1/48*c**4 - c + 0*c**3. What is z in i(z) = 0?
-4, 4
Factor 0*d + 0 + 1164/7*d**3 - 1692/7*d**2 + 4/7*d**5 - 212/7*d**4.
4*d**2*(d - 47)*(d - 3)**2/7
Solve 1/2*v**3 + 27848 - 471/2*v**2 + 27612*v = 0 for v.
-1, 236
Let v be (163070/(-21270))/(-23*2/12). Factor 15*s + 3/2*s**v + 36.
3*(s + 4)*(s + 6)/2
Solve 0 - 587528/5*v - 2/5*v**3 + 2168/5*v**2 = 0.
0, 542
Let z(g) be the first derivative of -118*g**5/35 - 30*g**4/7 + 78*g**3/7 + 2*g**2/7 - 301. Determine f so that z(f) = 0.
-2, -1/59, 0, 1
Let s be (-1932)/(-49) + (-40)/(-70). Let n be 25/s*4/5. Factor 1/2*v + 3/2*v**2 - 1/2*v**4 - n*v**3 - 1.
-(v - 1)**2*(v + 1)*(v + 2)/2
Let n(c) be the second derivative of -c**6/6 - 60*c**5 - 9000*c**4 - 720000*c**3 - 32400000*c**2 + 2395*c. Factor n(q).
-5*(q + 60)**4
Let h(c) = -16*c**2 - 23 + 27*c**2 + 5 - 6*c**2 - 7*c**2 - 20*c. Let l(u) = 6*u**2 + 60*u + 54. Let p(x) = 7*h(x) + 2*l(x). Find b, given that p(b) = 0.
-9, -1
Let v(u) be the second derivative of 0*u**2 - 1/3*u**3 + 8*u - 109/12*u**4 - 4. Let v(q) = 0. What is q?
-2/109, 0
Suppose -2/3*l**2 + 0 - 22/3*l = 0. What is l?
-11, 0
Let v(s) be the second derivative of 0*s**3 + 25/36*s**4 - 6*s + 1/720*s**6 + 0 - 1/18*s**5 - 9/2*s**2. Let p(k) be the first derivative of v(k). Factor p(z).
z*(z - 10)**2/6
Let p(n) be the second derivative of -1/24*n**4 - 23/6*n**3 - 529/4*n**2 + 76*n + 0. Solve p(t) = 0.
-23
Let d(j) be the first derivative of 11*j**2 + 331 + 1/3*j**3 + 40*j. Find c, given that d(c) = 0.
-20, -2
Solve -1/2*s**3 + 1/2*s**4 + 5/2*s - 3/2*s**2 - 1 = 0 for s.
-2, 1
Find g such that 645*g**2 + 434 + 1270*g**4 - 2635*g + 141*g**2 + 15*g**5 + 6 + 4464*g**2 + 423*g**3 - 4763*g**3 = 0.
-88, 1/3, 1
Suppose -380*z - 100 + 225 + 0*z**2 + 2*z**2 + 19 + 234 = 0. Calculate z.
1, 189
Let r(u) = -5*u + 143. Let z be r(28). Suppose 2*d**2 + 1520*d + 343 + 19*d**2 - d**z - 1667*d = 0. Calculate d.
7
Let s be (0 - -2*3)*(-59)/(-118). Let -i + i**3 + s*i**2 - 4 + 4 - 10 + 7 = 0. What is i?
-3, -1, 1
Let r be (-33)/(-6)*((-340)/22)/(-5). Let z(q) be the first derivative of 7*q**2 + 0*q + 2/3*q**3 - r. Factor z(p).
2*p*(p + 7)
Suppose 0 = 2*d - 2*u - 34, -2591*d = -2587*d - u - 17. Find x, given that -16/3*x - 2/3*x**5 + 4*x**3 - 2/3*x**4 + d + 8/3*x**2 = 0.
-2, 0, 1, 2
Let f be 21/14*(-12 + -2). Let i = -18 - f. Determine y so that -90 - 144*y**2 - 40 - 14*y**i + 12*y - 402*y + 30 = 0.
-5, -2/7
Suppose 36*i = -5*v + 41*i + 30, 0 = v + 5*i + 18. What is n in 26*n - v*n**2 - 26*n**2 - 70*n = 0?
-11/7, 0
Suppose -5*t - 22 = -2*u, 5*u - 15 = -3*t + 9. Suppose -u*i - i**3 + 4 - i**3 + 2*i - 4*i + 8*i**2 - 2*i = 0. Calculate i.
1, 2
Factor -6*u**3 - 30 - 1/2*u**4 - 46*u - 51/2*u**2.
-(u + 2)**2*(u + 3)*(u + 5)/2
Factor 1/4*s**4 + 15/4*s**3 - 384*s - 360 - 41/2*s**2.
(s - 10)*(s + 1)*(s + 12)**2/4
Suppose -67*r = -54*r + 195. Let q be r/9*54/(-180). Factor 0 + 1/2*y**3 - 1/2*y**5 + q*y**2 - 1/2*y**4 + 0*y.
-y**2*(y - 1)*(y + 1)**2/2
Let j(b) = -10*b**3 + 68*b**2 - 150*b - 372. Let q(z) = -2*z**3 + 15*z**2 - 30*z - 74. Let f(w) = 3*j(w) - 16*q(w). Factor f(v).
2*(v - 17)*(v - 2)*(v + 1)
Suppose -2*l**2 - 8*l**2 + 48*l**5 - 17*l**3 + 5*l**3 + 14*l**2 - 12*l**2 + 92*l**4 = 0. Calculate l.
-2, -1/4, 0, 1/3
Let c = 17279 + -17279. Let y(a) be the third derivative of -23*a**2 - 5/6*a**4 + 0*a + c - 50/3*a**3 - 1/60*a**5. Find b, given that y(b) = 0.
-10
Let z be 285/(-380) - (-11)/4. Solve 9/4*m**4 + 0 + 7*m**2 - z*m - 15/2*m**3 = 0 for m.
0, 2/3, 2
Let s = -81 + 49. Let a = -28 - s. Factor -3*b**3 - 4*b - 4 + b**3 + 4*b + 2*b + a*b**2.
-2*(b - 2)*(b - 1)*(b + 1)
Let w(b) be the third derivative of -b**7/2520 + b**6/90 - b**5/10 + b**4/2 - b**3/2 + 28*b**2. Let t(p) be the second derivative of w(p). Factor t(n).
-(n - 6)*(n - 2)
Suppose 99*p + 264 = -35*p - 19*p + 241*p. Factor 7/2*x + 9/2*x**2 + 1 + 1/2*x**4 + 5/2*x**p.
(x + 1)**3*(x + 2)/2
Let g(r) be the first derivative of r**3/5 + 2211*r**2/10 - 2214*r/5 + 150. Factor g(o).
3*(o - 1)*(o + 738)/5
Suppose -5*t = -p - 35, -5*p + 5 = -4*p. Let n be (-3 + t/3)/(2/(-12)). Factor n*y**5 - 3*y**3 - 8*y**2 - 9*y**3 + 2*y**5.
4*y**2*(y - 2)*(y + 1)**2
Factor -28*y + 8/3 - 44/3*y**2.
-4*(y + 2)*(11*y - 1)/3
Find i such that -905*i**2 + 1196*i - 89*i**3 + 378*i + 156*i - 960 + 219*i**3 + 5*i**4 = 0.
-32, 1, 2, 3
Determine b so that -16/5*b**2 + 79/5*b - 12 = 0.
15/16, 4
Factor -6389*l**2 - 2*l**4 + 38400*l + 2*l**5 + 57344 - 98*l**4 - 5360*l**2 + 2098*l**3 - 4987*l**2 - 8*l**4.
2*(l - 16)**3*(l - 7)*(l + 1)
Let l = -320 + 260. Let q be 2 + 159/l - (-96)/128. Suppose 6/5*y**3 + 0 + q*y + 7/10*y**2 = 0. Calculate y.
-1/3, -1/4, 0
Suppose 0 = -36*m + 83 + 25. Let p(v) = v**2 + 7*v + 2. Let k be p(-7). Determine d so that -m - k + 4*d**2 + 0 + 1 = 0.
-1, 1
Let k(l) be the third