**2 + 98*s - 62. Let f(l) = u*g(l) - 7*z(l). Factor f(o).
-2*(o - 1)**2*(o + 25)
Let p = -253056/13 - -19466. Suppose -p*s**2 - 2/13*s**3 + 4/13*s + 0 = 0. Calculate s.
-2, 0, 1
Suppose 62 + 10 = n. Suppose -5*w - 8 = l, 0*l - n = -5*l + 3*w. Factor -20*a - a**3 + 6*a + l*a**2 - a**3 - 2*a**2 + 6.
-2*(a - 3)*(a - 1)**2
Let a(c) = -c**2 + 15*c + 14. Let t be a(16). Let j be (20/25)/((-24)/15 - t). Factor 2*g**3 + 10 - 10 - 8*g**j + 2*g**3.
4*g**2*(g - 2)
Let m(x) be the third derivative of 0*x + 62*x**2 - 2*x**3 + 0 - 31/64*x**4 + 1/160*x**5. Factor m(w).
3*(w - 32)*(w + 1)/8
Let j(h) be the first derivative of -h**5/60 + h**4/6 + 5*h**3/6 - 50*h**2/3 + 102*h - 2. Let k(w) be the first derivative of j(w). Factor k(m).
-(m - 5)**2*(m + 4)/3
Suppose -48*b = -47*b - 2. Suppose -4*u + b + 18 = 5*o, -10 = -2*u - 5*o. Factor 34 - 18*d - 22 - 2*d + 28 + 25*d**3 - u*d**4 - 30*d**2.
-5*(d - 2)**3*(d + 1)
Let a(b) be the third derivative of 1/735*b**7 - 32*b + 1/84*b**6 + b**2 + 1/70*b**5 + 0 - 3/28*b**4 + 0*b**3. Find k such that a(k) = 0.
-3, 0, 1
Let j = 4 - -1. Suppose j*k - 47 - 288 = 0. Factor -70*d**4 + 5*d**5 - k*d**4 + 15*d**3 + 20*d**2 + 117*d**4 - 20*d.
5*d*(d - 2)**2*(d - 1)*(d + 1)
Let v(q) = -144*q**3 - 314*q**2 - 160*q. Let a(o) = -o**4 - 571*o**3 - 1256*o**2 - 641*o. Let y(h) = 2*a(h) - 9*v(h). Factor y(t).
-2*t*(t - 79)*(t + 1)**2
Suppose -5*p + 2 = -18. Let f(t) be the first derivative of 13 - 4*t**3 - 2*t**p + t**2 + t**4 + 11*t**2 - 16*t**2. Let f(x) = 0. What is x?
-2, -1, 0
Let b = 65971 + -65967. What is o in 311/2*o**2 - 81/2*o**b - 63*o**3 + 6 - 58*o = 0?
-3, 2/9, 1
Let s(k) = 3343*k + 66864. Let b be s(-20). What is x in 0 - 1/4*x + 13/8*x**b + 9/8*x**3 + 5/8*x**5 - 1/8*x**2 = 0?
-1, 0, 2/5
Factor 246*s**2 + 1708*s - 188*s**3 + 123*s**4 - 109*s**4 - 1780*s.
2*s*(s - 12)*(s - 1)*(7*s - 3)
Let d(a) be the second derivative of -a**7/504 - 7*a**6/144 - a**5/4 + a**4/6 + 23*a**3/6 + 76*a. Let r(l) be the third derivative of d(l). Factor r(v).
-5*(v + 1)*(v + 6)
Let m(a) = -a**2 + 9*a - 1. Let d be m(7). Suppose 2*x - d*x + 19272 = 0. Suppose -5*h + x*h**3 + 0*h - 1754*h**3 - 7*h + 10*h**2 = 0. What is h?
0, 2, 3
Let t(y) be the second derivative of y**6/720 + y**5/72 + y**4/36 + 79*y**2/2 + 100*y. Let b(n) be the first derivative of t(n). Find i, given that b(i) = 0.
-4, -1, 0
Determine r so that 9*r**3 + 405*r + 2025/4 + 207/2*r**2 + 1/4*r**4 = 0.
-15, -3
Solve 300 + 5*v**3 + 5*v**4 - 24164660*v + 24164475*v - 107*v**2 - 18*v**2 = 0.
-4, -3, 1, 5
Determine q so that 1 - 1 + 4128*q - 1920*q**2 + 186*q**3 - 2181*q**4 + 2190*q**4 = 0.
-86/3, 0, 4
Let z(d) = -13*d**3 - 1507*d**2 + 7*d - 14. Let v(g) = 10*g**3 + 1005*g**2 - 5*g + 10. Let r(y) = -7*v(y) - 5*z(y). Factor r(o).
-5*o**2*(o - 100)
Let n be 2*3/2 + ((-510)/60 - -7). Solve -l - n + 1/2*l**2 = 0 for l.
-1, 3
Let k(y) = y**2 + 13*y + 26. Let t be k(-2). Factor 4*x + 36*x**3 - 1 + 52*x**5 + 228*x**3 + 13 - 196*x**t - 136*x**2.
4*(x - 1)**4*(13*x + 3)
Solve -216*l**2 - 14481 - 3070*l + 4*l**3 - 1154*l + 1562 - 8118 + 3117 = 0 for l.
-8, 70
Let k(n) be the first derivative of -7*n**6/27 - 44*n**5/5 - 1421*n**4/18 - 388*n**3/27 + 476*n**2/3 + 784*n/9 + 395. Solve k(m) = 0 for m.
-14, -1, -2/7, 1
Let r = -49 - -38. Let q be (0/r)/(4/1). Let q + 0*z**2 + 3/2*z**3 + 0*z = 0. Calculate z.
0
Let p = 1/53730 + 3371542/832815. Let u = 14/31 + p. Find a, given that -u*a - 3/2*a**3 + 6*a**2 + 0 = 0.
0, 1, 3
Factor 93/4*q - 27 + 69/2*q**2 - 123/4*q**3.
-3*(q - 1)**2*(41*q + 36)/4
Let x(k) = -k**3 + 3*k**2 + 40*k + 2. Let v be x(8). Determine i, given that 19*i**2 - 11*i**v + 4*i**2 - 5*i - 14*i**2 = 0.
-5/2, 0
Let k(q) = -19*q**2 - 1825*q + 5529. Let z(u) = 3*u**2 + 304*u - 921. Let g(m) = 6*k(m) + 39*z(m). Solve g(h) = 0.
-305, 3
Let q = 326914 - 1315317/4. Let z = q + 1916. Factor 3/4*x**3 - 1/2 - z*x + 1/4*x**4 + 1/4*x**2.
(x - 1)*(x + 1)**2*(x + 2)/4
What is q in -3/5*q**2 - 165 - 108/5*q = 0?
-25, -11
Let a(u) be the second derivative of -u**6/420 + u**5/60 - 19*u**3/3 + 199*u. Let l(t) be the second derivative of a(t). Find c such that l(c) = 0.
0, 7/3
Let m(s) be the third derivative of s**5/12 - 905*s**4/3 + 1310440*s**3/3 - 6*s**2 + 112*s. Determine w, given that m(w) = 0.
724
Let v(u) be the second derivative of u**6/540 - 2*u**5/45 - u**3/3 - u**2/2 - 18*u. Let b(n) be the second derivative of v(n). Find a such that b(a) = 0.
0, 8
Let t be -17*28/102*(-78)/70. Find i such that t*i**4 - 48/5*i**3 + 4/5*i**5 + 0 + 2/5*i**2 + 16/5*i = 0.
-8, -1/2, 0, 1
Let i(l) = l**3 - 23*l**2 - l + 27. Suppose 9 + 4 = r + 5*u, 0 = 5*u + 10. Let y be i(r). Determine g so that 2*g - y*g**3 + 0*g**3 + g + g**3 = 0.
-1, 0, 1
Let r = 3602561/315224 + -1/315224. Suppose r*a + 82/7 - 2/7*a**2 = 0. Calculate a.
-1, 41
Let t be (-3)/378*-44 + ((-56)/(-171) - 120/1140). Factor 0 + 24/7*m - 20/7*m**2 + t*m**3.
4*m*(m - 3)*(m - 2)/7
Let w(f) be the first derivative of 25*f**4/16 - 250*f**3/3 - f**2/2 + 40*f + 1188. Suppose w(y) = 0. Calculate y.
-2/5, 2/5, 40
Let o(j) be the first derivative of -j**5/10 + 31*j**4/8 - 29*j**3/3 + 1538. Let o(u) = 0. Calculate u.
0, 2, 29
Let a(w) be the second derivative of -5*w**4/12 - 10*w**3/3 + 105*w**2/2 + 7*w - 83. Factor a(g).
-5*(g - 3)*(g + 7)
Let -36*p**3 - 2*p**5 - 2285*p**4 + 2301*p**4 - 22*p**2 + 38*p - 24 + 30*p**2 = 0. Calculate p.
-1, 1, 3, 4
Let g(t) be the third derivative of -5*t**8/336 + 25*t**7/42 - 175*t**6/24 + 125*t**5/4 - 2*t**2 + 4*t + 133. Determine i so that g(i) = 0.
0, 5, 15
Let h = -676/37 + 2213/111. Determine m, given that -1500 - 100*m - h*m**2 = 0.
-30
Let p(f) be the second derivative of 4*f**2 + 5*f + 2/7*f**3 + 1/210*f**5 + 0 - 5/84*f**4. Let x(s) be the first derivative of p(s). Factor x(j).
2*(j - 3)*(j - 2)/7
Solve 213326*c + c**2 + 2*c**2 - 306 - 213233*c = 0 for c.
-34, 3
Factor -509040*v**2 - 1398621*v - 990930*v - 248*v**4 + 20919*v**3 - 755*v**3 - 1288433 + v**5 - 1082383 + 103407*v.
(v - 84)**3*(v + 2)**2
Let g(w) = 13*w - 49. Let s be g(4). Let -5*i**3 - 75*i**2 + 9*i**3 - 3*i**s - 6*i**3 = 0. What is i?
-15, 0
Let d(p) be the third derivative of -p**6/40 + p**5/20 + 5*p**4/2 + p**2 - 1574. Factor d(q).
-3*q*(q - 5)*(q + 4)
Suppose 101 = 24*u + 114 - 109. Let i(o) be the first derivative of -2*o + 1/2*o**3 - 5 + 5/16*o**u - 1/2*o**2 + 1/20*o**5. Let i(s) = 0. What is s?
-2, 1
Let w be 22/14 - (-87)/203. Let -2 + 0 - 79*r + 131*r - 22 + 4*r**4 - 4*r**3 - 28*r**w = 0. What is r?
-3, 1, 2
Find f, given that -4245*f**2 + 4669*f**2 - 250*f + 175*f + 224 + 1179*f - 36*f**3 = 0.
-2, -2/9, 14
Suppose 3*q = -w + 2*q - 292, 2*w + 3*q + 584 = 0. Let x = 292 + w. Suppose 0*h - 1/2*h**3 + x - 1/3*h**2 = 0. What is h?
-2/3, 0
Let k(p) = -83*p**2 + 3183*p + 3185. Let g(z) = -275*z**2 + 9550*z + 9555. Let o(a) = 3*g(a) - 10*k(a). Factor o(h).
5*(h - 637)*(h + 1)
Let b(u) be the third derivative of u**7/42 - 2*u**6/3 + 59*u**5/12 - 55*u**4/6 + 198*u**2. Factor b(x).
5*x*(x - 11)*(x - 4)*(x - 1)
Let g be (-3 - (-13)/4)/(6/48). Let n be -4*(-11)/374*g. Factor n*o**2 + 6/17 - 10/17*o.
2*(o - 1)*(2*o - 3)/17
Suppose -11*a - 179 = -223. Suppose 5*l + 3*z + 2 = 0, -a*z = 5*l + 4 + 2. Suppose 0 - 5/4*c**3 - 5/2*c**l + 5/2*c**4 + 5/4*c = 0. What is c?
-1, 0, 1/2, 1
Let w(j) be the second derivative of -5/24*j**4 + 1/12*j**5 - 2*j - 3*j**2 - 5/3*j**3 + 0. Let d(u) be the first derivative of w(u). Factor d(b).
5*(b - 2)*(b + 1)
Let u = -20470 + 20476. Find b such that 3*b**2 - 12 - 3/2*b**3 + u*b = 0.
-2, 2
Let f(i) = -18*i - 219. Let a be f(-12). Let c be (a - (-33)/6)/((-80)/(-24)). Find w such that -c*w - 1/2 + 3*w**2 - 7/4*w**3 = 0.
-2/7, 1
Let u(o) be the third derivative of o**7/42 + 23*o**6/24 + 143*o**5/12 + 605*o**4/24 + 326*o**2. Factor u(i).
5*i*(i + 1)*(i + 11)**2
Factor 1/3*o**2 + 62*o - 187/3.
(o - 1)*(o + 187)/3
Factor 3*o**3 + 1321*o - 2294*o + 807*o**2 - 2291*o + 3276.
3*(o - 2)**2*(o + 273)
Determine z so that 146*z**3 + 0 - 8/7*z**4 + 256/7*z**2 + 0*z = 0.
-1/4, 0, 128
Let d(m) = -12*m**2 - 1018*m + 4. Let t(w) = -32*w**2 - 2035*w + 10. Let r(u) = -5*d(u) + 2*t(u). Find p, given that r(p) = 0.
0, 255
Let a(j) be the second derivative of j**7/630 - j**6/60 + j**5/15 - j**4/6 + j**2 + 84*j. Let u(g) be the third derivative of a(g). Suppo