739 + -1244737. Factor 22/9*x - 1/9*x**b - 121/9.
-(x - 11)**2/9
Let j(o) = -2*o**2 - 2800*o + 974404. Let v(m) = 7*m**2 + 11198*m - 3897617. Let i(g) = -15*j(g) - 4*v(g). Factor i(y).
2*(y - 698)**2
Let y(c) be the second derivative of -c**6/5 - 37*c**5/20 - 37*c**4/12 + 10*c**3 + 35*c + 31. Factor y(u).
-u*(u + 3)*(u + 4)*(6*u - 5)
Let q(c) be the third derivative of c**5/120 + 433*c**4/4 + 562467*c**3 - 18*c**2 + c - 3. Solve q(r) = 0 for r.
-2598
Suppose -c - 50 = -3*l, -52 = -4*l + 2*c + 3*c. Factor 20*b**3 + 3*b**4 - l*b**2 + 623*b - 623*b - 5*b**3.
3*b**2*(b - 1)*(b + 6)
Suppose -16*v + 63*v + 27 = 121. Factor 8/3*f - 1/3*f**v + 0.
-f*(f - 8)/3
Let r(x) be the first derivative of -15*x**4/16 + 1045*x**3/6 + 175*x**2 + 957. Find h, given that r(h) = 0.
-2/3, 0, 140
Suppose 4/9*q**3 - 6704/9*q - 1324/9*q**2 - 1792/3 = 0. Calculate q.
-4, -1, 336
Suppose -226 + 97 = -3*t. Factor 51*q**2 - 61*q**2 + 45 - t + 8*q.
-2*(q - 1)*(5*q + 1)
Determine q so that -97*q**3 + 126*q**3 - 59*q**3 - 66*q**3 + 3222*q**2 - 1326675 + 63840*q - 3*q**4 = 0.
-35, 19
Find v, given that 1/4*v**3 - 115/2 - 15/2*v**2 + 171/4*v = 0.
2, 5, 23
Let q(m) be the first derivative of m**4/20 - m**3/10 - 18*m**2/5 - 138*m + 37. Let i(p) be the first derivative of q(p). Suppose i(r) = 0. What is r?
-3, 4
Let -1673 + 4753 + 1808*x**2 - 3624*x**2 + 1811*x**2 - 750*x = 0. What is x?
-154, 4
What is i in -3*i**5 + 478*i**3 - 22*i - 63*i**2 - 91*i**2 - 200*i**4 + 91*i - 70*i**2 - 120*i**2 = 0?
-69, 0, 1/3, 1
Let z = 0 + 4. Suppose 0*k - 18 = 3*k, 2*c + 2*k + 4 = 0. Factor -10*x**4 - 8*x**3 + 4*x**5 - c*x**2 + 3*x**z + 11*x**4 + 4*x**3.
4*x**2*(x - 1)*(x + 1)**2
Factor 2/7*h**2 - 4/7*h - 6/7.
2*(h - 3)*(h + 1)/7
Suppose -4*d + 2*x = -41 + 81, 0 = d + 3*x + 10. Let f(l) = -41*l - 408. Let k be f(d). What is c in 0*c - 10/21*c**4 + 0 - 2/7*c**k + 2/3*c**3 + 2/21*c**5 = 0?
0, 1, 3
Let d(x) be the second derivative of -5/3*x**3 + 50*x**2 - 23*x + 0 + 1/48*x**4. Solve d(z) = 0 for z.
20
Let o be (-3)/(-2)*(-11)/(33/(-30)). Factor 107*n - 5*n**3 - 5*n**4 - 221*n - 10 + o*n**2 + 119*n.
-5*(n - 1)**2*(n + 1)*(n + 2)
Let z(m) = -3*m**4 + 2*m**3 - m**2 - m + 1. Let f(n) = -47*n**4 + 46*n**3 - 47*n**2 + 16. Let o(g) = 3*f(g) - 48*z(g). Determine s, given that o(s) = 0.
-16, 0, 1
Let f be (-4)/(-172) - 30719070/(-42570). What is o in 2/11*o**2 + f + 252/11*o = 0?
-63
Factor 1/9*z**2 - 1286/9*z + 413449/9.
(z - 643)**2/9
Let f be (2 + (-55)/(-10))*(-4)/(-6). Suppose f*m + 33 - 178 = 0. Factor 0*r**2 - 79 + m + 20*r - 2*r**2.
-2*(r - 5)**2
Let s(g) = g**4 + g**3 - 4*g**2 + g - 1. Let c(y) = 8*y**4 + 146*y**3 + 2424*y**2 - 134*y - 2456. Let u(a) = c(a) - 6*s(a). Factor u(o).
2*(o - 1)*(o + 1)*(o + 35)**2
Let j(n) be the second derivative of -n**4/42 - 282*n**3/7 - 178929*n**2/7 - 208*n - 3. Suppose j(k) = 0. Calculate k.
-423
Let d = 195 - 181. Factor f**3 + 11*f**2 - 10*f**3 + f**2 - d*f**2.
-f**2*(9*f + 2)
Suppose 0 = 292195*p - 292279*p. Find u such that -4/9*u + 16/9*u**3 - 10/9*u**4 - 2/9*u**2 + p = 0.
-2/5, 0, 1
Let z(s) be the first derivative of -21/8*s**4 - 108*s - 73/4*s**3 - 3/20*s**5 - 63*s**2 - 55. Solve z(q) = 0 for q.
-4, -3
Let k = -2235 - -2238. Let f(m) be the third derivative of 0 + 1/252*m**4 - 20*m**2 + 0*m**k - 1/315*m**5 + 0*m. Factor f(v).
-2*v*(2*v - 1)/21
Suppose 7 = -v + 8*l - 3*l, 3*v - 11 = -l. Let i be ((-1)/v - -1)/((-10)/(-105)). Factor 2*w**3 - i*w**3 + 9*w**2 - 1 - 7*w + w**4 + 3.
(w - 2)*(w - 1)**3
Suppose 243*h**3 + 84*h**2 - 739*h**3 - 1361*h - 79*h + 250*h**3 + 249*h**3 = 0. Calculate h.
-40, 0, 12
Let i(u) be the third derivative of u**4/24 + u**3/3 + u**2 + 27. Let a be i(2). Factor 1/2*s**2 + 0 + 2*s**a + 0*s - 5/2*s**3.
s**2*(s - 1)*(4*s - 1)/2
Let c be 8/6 - 0 - 1. Let r be 2/(-33) - ((-3)/(-24) - (-2250)/(-2640)). Factor c*n**3 - r*n - 1/3*n**2 + 0.
n*(n - 2)*(n + 1)/3
Let u(w) be the second derivative of w**7/252 + w**6/18 + 7*w**5/40 - 17*w**4/18 - 68*w**3/9 - 16*w**2 - 329*w. Factor u(p).
(p - 3)*(p + 1)*(p + 4)**3/6
Let z(o) be the third derivative of -1/9*o**4 - 1/900*o**6 + 0*o**3 + 0*o + 0 + 2/75*o**5 + 30*o**2. Factor z(y).
-2*y*(y - 10)*(y - 2)/15
Let q(g) be the first derivative of -g**4/4 + 33*g**3/2 - 48*g**2 + 149*g - 34. Let t(w) be the first derivative of q(w). Factor t(c).
-3*(c - 32)*(c - 1)
Let j(x) be the second derivative of -x**4/30 + 53*x**3/15 + 54*x**2/5 - 3*x - 35. Find u, given that j(u) = 0.
-1, 54
Let c = 41330/869 + 638/79. Factor -8/11*s**4 + 0 + 142/11*s**3 - 162/11*s - c*s**2.
-2*s*(s - 9)**2*(4*s + 1)/11
Let x = -6331 + 6333. Factor -1/2*b**x + 7/2 - 3*b.
-(b - 1)*(b + 7)/2
Let h(x) be the second derivative of 377/10*x**5 - 118/15*x**6 - 170/3*x**4 - 4/3*x**3 + x - 110 + 5/21*x**7 + 80*x**2. Find i such that h(i) = 0.
-2/5, 1, 2, 20
Suppose 5*n - 15 = 0, 2*u + 355*n = 356*n + 159. Suppose -40*o + u = 1. Suppose -8/3*b - 4/3*b**2 + 0 + 1/3*b**5 + o*b**3 + 5/3*b**4 = 0. Calculate b.
-2, 0, 1
Solve -291600/7 + 4/7*x**5 - 4*x**4 + 8604/7*x**2 + 285120/7*x - 300*x**3 = 0 for x.
-15, 1, 18
Let x be 0 + 36/(-30)*(-30)/9. Suppose -11 = -4*i + x*j - 3, 5*j = 2*i - 10. Let 0 - 1/2*d**2 + i*d + 1/2*d**3 = 0. What is d?
0, 1
Let l(j) = j**3 + 4*j**2 - 5*j - 2. Let m be l(-5). Let y be 5 + m/6*3. Suppose 8*g + 22*g + 9 + g**2 + y*g**2 + 16 = 0. What is g?
-5, -1
Let f be (-37 + (-923)/(-390)*15)/(10/(-28)). Let o be 36/5*4/6. Suppose 3/5*s**3 + o*s + 48/5 - f*s**2 = 0. What is s?
-1, 4
Let w be (3*(-20)/25)/((-506)/345). Suppose w + 20/11*m + 2/11*m**2 = 0. What is m?
-9, -1
Suppose 8*l - 12 = r, -10 = 6*r - 8*r - l. Suppose 0 = -3*o + 5*g + 23, -o - g = -4 - 1. Determine a so that a - 2*a - a + r*a**2 - o*a = 0.
0, 2
Let a(y) be the first derivative of -1/2*y**4 + 11 - 1/40*y**5 + 25*y - 5/12*y**3 + 1/2*y**2 + 1/15*y**6. Let j(q) be the first derivative of a(q). Factor j(o).
(o - 2)*(o + 1)**2*(4*o - 1)/2
Let f be 6*2/15*15. Suppose l + 34 = f. Let x(w) = -w + 1. Let p(o) = 2*o**2 + 5*o - 7. Let t(a) = l*x(a) - 2*p(a). Find n such that t(n) = 0.
1, 2
Let k be ((-32)/48)/((-1)/24). Let m(b) = b + 79. Let u be m(k). Solve -100*n + 22 - 41 + 24 + u*n**2 = 0 for n.
1/19, 1
Let d = -703 - -748. Suppose -69 = -8*t - d. What is s in 0*s - 5/6*s**t - 5/3*s**2 + 0 = 0?
-2, 0
Let l(v) = -7*v + 80. Let m be l(11). Factor 58*h - 10*h**2 + 14*h + 5*h**2 + m*h**2.
-2*h*(h - 36)
Let i be 5 + -41 + 11336/312. Solve 0 + i*y**2 - 29/3*y = 0 for y.
0, 29
Let t(s) be the second derivative of s**5/20 - 29*s**4/12 + 36*s**3 - 162*s**2 + 9945*s. Factor t(i).
(i - 18)*(i - 9)*(i - 2)
Factor -104/7 - 30/7*k - 1/7*k**2.
-(k + 4)*(k + 26)/7
Let d(a) = -39*a**4 + 80*a**3 + 369*a**2 - 825*a - 429. Let g(t) = 40*t**4 - 76*t**3 - 368*t**2 + 824*t + 428. Let m(u) = 4*d(u) + 3*g(u). Solve m(n) = 0.
-3, -4/9, 3
Factor -130*r - 2/21*r**3 + 152/21*r**2 - 2028/7.
-2*(r - 39)**2*(r + 2)/21
Factor -12/5*p - 28/5 + 1/5*p**2.
(p - 14)*(p + 2)/5
Let 8768/11*x + 6/11*x**5 - 2304/11 - 5124/11*x**2 - 20/11*x**4 - 1326/11*x**3 = 0. Calculate x.
-8, 1/3, 1, 18
Let x(b) = -11*b + 352. Let k be x(36). Let m be 22/k*(-80)/14. Determine v so that -16/7*v**4 - 24/7*v + m + 96/7*v**3 - 76/7*v**2 = 0.
-1/2, 1/2, 1, 5
Factor 13*p**4 - 8*p**4 - 40*p - 119*p**2 + 40*p**3 + 114*p**2.
5*p*(p - 1)*(p + 1)*(p + 8)
Let j(h) be the first derivative of 140/3*h**3 - h**4 + 17 + 0*h - 68*h**2. Factor j(x).
-4*x*(x - 34)*(x - 1)
Let h be 7/(-30)*-2 + 1074/5370. Suppose 2/9*r**2 - h*r + 4/9 = 0. Calculate r.
1, 2
Let s be -1*3/18 - (-8 + 23/3). Find i, given that 0*i**2 - 1/3 - 1/2*i + s*i**3 = 0.
-1, 2
Let t(o) be the third derivative of -o**5/60 + 3275*o**4/12 - 10725625*o**3/6 + 1710*o**2 - o + 2. Factor t(y).
-(y - 3275)**2
Solve -87/4*d**4 + 5376 + 447/2*d**3 + 3/4*d**5 - 96*d - 852*d**2 = 0 for d.
-2, 7, 8
Let o(p) = -2*p**2 - 100*p - 2732. Let s(t) = 16*t + 2. Let a(l) = -o(l) + 3*s(l). Factor a(c).
2*(c + 37)**2
Let g(o) = 4*o**3 + 24*o**2 - 232*o + 207. Let n(b) = -7*b**3 - 49*b**2 + 464*b - 413. Let p(j) = 5*g(j) + 3*n(j). Factor p(c).
-(c - 6)*(c - 1)*(c + 34)
Suppose -6*f - 8746 + 268 = 0. Let m = -1410 - f. Let 69/2*u**2 - 45*u**m - 6*u - 27/2*u**4 + 0 = 0. Calculate u.
-4, 0, 1/3
Determine c, given that -3/5*c**3 - 72/5 + 12/5*c + 18/5*c**2 = 0.
-2, 2, 6
Let t be (-480)/35 + (-63