tor o(g).
(g - 3)*(g - 1)*(g + 1)
Suppose -307 = -36*m + 341. Suppose -126 = -m*o - 3*o. Solve -3/2*g**2 - 9/2 + o*g = 0.
1, 3
Let u = -262589/5 + 52519. Suppose 0 + 2/5*p**2 - u*p = 0. Calculate p.
0, 3
Find y, given that 2/9*y**2 + 1186/9*y - 1192/3 = 0.
-596, 3
Determine b so that 2/19*b**3 + 54/19*b + 80/19 - 24/19*b**2 = 0.
-1, 5, 8
Let s(d) be the first derivative of -6*d**2 + 1/4*d**4 + 16*d - 13 + 0*d**3. Factor s(a).
(a - 2)**2*(a + 4)
Factor -20*c**4 + 2/5*c**5 + 1346/5*c**3 + 0 + 1152/5*c - 480*c**2.
2*c*(c - 24)**2*(c - 1)**2/5
Let o(r) = -48*r**5 + 736*r**4 + 1576*r**3 + 832*r**2 + 40. Let z(x) = -7*x**5 + 105*x**4 + 225*x**3 + 119*x**2 + 6. Let a(k) = -3*o(k) + 20*z(k). Factor a(q).
4*q**2*(q - 29)*(q + 1)**2
Let d(o) = -37*o**3 + 113*o**2 - 907*o - 1024. Let k(y) = -47*y**3 + 141*y**2 - 1134*y - 1280. Let n(r) = 14*d(r) - 11*k(r). Factor n(a).
-(a - 16)**2*(a + 1)
Let g = -27331/9 + 3039. Let l = 2600/9 + -288. Let -2/3*p**3 - g*p**2 + 16/9 - l*p = 0. Calculate p.
-2, 2/3
Let w = -90 + 93. Find q, given that 32*q - 16*q + w*q**2 - q**2 = 0.
-8, 0
Factor 369*z + 162 - 205/4*z**3 + 1321/8*z**2 + 25/8*z**4.
(z - 9)**2*(5*z + 4)**2/8
Factor 2/5*p**2 + 351122/5 - 1676/5*p.
2*(p - 419)**2/5
Let o be (-4)/16 - 109/(-4). Let t be -3 + (-2)/(-4)*(o + 3). Factor -4*u + u - 11*u + 3*u**2 + t - u.
3*(u - 4)*(u - 1)
Factor -45 - 12*n**2 - 113/2*n - 1/2*n**3.
-(n + 1)*(n + 5)*(n + 18)/2
Suppose -2*d + 5*i + 23 - 1 = 0, -44 = -3*d + 2*i. Let h be d/20*(-30)/(-36). Determine s so that h + 11/3*s + 5*s**2 = 0.
-2/5, -1/3
Suppose 0*x**2 - 25*x**2 - 20*x**2 + 1120*x + 1125 + 40*x**2 = 0. Calculate x.
-1, 225
Let n(l) = 15*l + 128. Let y(p) = -2*p**2 + p + 2. Let w(b) = -2*n(b) - 2*y(b). Factor w(c).
4*(c - 13)*(c + 5)
Let x(y) = -140*y + 6722. Let m be x(48). Factor 0 - 20/9*h**3 + 2/3*h**4 - 8/9*h + 22/9*h**m.
2*h*(h - 1)**2*(3*h - 4)/9
Let w be (-8)/(-44) - (-80)/44. Suppose -3 = -w*y - 5*j, 3*y = -3*j + 8*j + 17. What is l in -l**4 + y*l**2 - 3*l**2 + 2 + 7*l**3 - 7*l - 2*l**4 = 0?
-1, 1/3, 1, 2
Let d(p) be the first derivative of 1/3*p**3 - 4*p**2 + 15*p + 8. Factor d(g).
(g - 5)*(g - 3)
Let h(m) = -m**3 - 5*m - 5. Let o = 4251 - 4246. Let n be (2/4)/((-2)/32). Let u(t) = -t**3 - 8*t - 8. Let k(z) = n*h(z) + o*u(z). Let k(q) = 0. What is q?
0
Solve -6*q**2 + 146*q + 36095 + 3*q**2 + q**2 - 35639 = 0 for q.
-3, 76
Let x(h) = -h**2 + 111*h - 1670. Let k be x(18). Let i(l) be the third derivative of 0*l + 10/3*l**3 + 0 - 16*l**2 + 1/12*l**5 + 25/24*l**k. Factor i(j).
5*(j + 1)*(j + 4)
Let h(f) = 4*f**2 - 2293*f - 6. Let a(s) = -8*s**2 + 6884*s + 16. Let c(p) = 3*a(p) + 8*h(p). Factor c(g).
4*g*(2*g + 577)
Let w(a) be the first derivative of a**6/27 + 2*a**5/9 - a**4/3 - 2954. Factor w(f).
2*f**3*(f - 1)*(f + 6)/9
Let b be 7790/(-475) - -1*(25 - -1). Factor 3/5*z**2 + 9*z - b.
3*(z - 1)*(z + 16)/5
Let w(f) be the second derivative of -f**5/60 + 5*f**4/9 - 17*f**3/6 + 112*f - 6. Suppose w(n) = 0. Calculate n.
0, 3, 17
Let q(o) be the first derivative of -20/21*o**3 + 0*o + 12/7*o**2 + 54 - 1/7*o**4. Factor q(x).
-4*x*(x - 1)*(x + 6)/7
Let -133/4*t - 67/2 + 1/4*t**2 = 0. Calculate t.
-1, 134
Let g(h) be the third derivative of -h**6/30 + 3152*h**5/15 - 1241888*h**4/3 - 162*h**2 - 4*h. Factor g(b).
-4*b*(b - 1576)**2
Find z, given that -9*z**3 + 8*z + 7*z + 7 - 6*z - 3*z**2 - 3*z**4 - 1 = 0.
-2, -1, 1
Let c(y) = 2*y**2 + 145*y + 979. Let b be c(-65). Factor 0*h**3 + 0*h + 6 + 3/8*h**b - 3*h**2.
3*(h - 2)**2*(h + 2)**2/8
Let y(c) = 2*c**3 + 9*c**2 - 14*c - 96. Let m(t) = -34*t**3 - 158*t**2 + 236*t + 1632. Let b(q) = 6*m(q) + 100*y(q). Factor b(z).
-4*(z - 2)*(z + 2)*(z + 12)
Suppose -3*d + 5*c + 4 = 0, d - c = 4*c - 2. Let k be 2/d + (-30)/(-9). Determine z, given that -8*z + 27*z**2 - k + 2*z**4 - 19*z**3 + z**4 + z**4 = 0.
-1/4, 1, 2
Let r be 80/(-12)*(14 + -26). Factor 15*d**5 + 128*d**4 + 26*d**4 + r*d**2 + 280*d**3 - 29*d**4.
5*d**2*(d + 4)**2*(3*d + 1)
Let r(n) be the first derivative of -3*n**5/35 + 16437*n**4/28 - 1429758*n**3 + 9147586206*n**2/7 - 18265163928*n/7 + 6639. Solve r(h) = 0.
1, 1826
Solve 2702*k + 4900 + 3046*k - 5468*k + 4*k**2 = 0 for k.
-35
Suppose -204212 + 24500 = -3744*f. Suppose -1440 - 2/5*l**2 - f*l = 0. Calculate l.
-60
Let h(j) be the third derivative of j**6/40 - 13*j**5/20 + 47*j**4/8 - 35*j**3/2 + 8104*j**2. Find q such that h(q) = 0.
1, 5, 7
Let m = 486 - -514. Let i = m - 996. Factor 0 + 1/10*p**3 - 1/5*p**i + 0*p + 1/10*p**5 + 0*p**2.
p**3*(p - 1)**2/10
Let y(h) be the first derivative of 135 - 6*h - 11*h**3 + 39/5*h**5 - 21/4*h**4 + 33/2*h**2 - 2*h**6. Let y(q) = 0. What is q?
-1, 1/4, 1, 2
Let f(b) be the first derivative of -2*b**5/15 + 2*b**3/3 - 2*b**2/3 - 2197. Factor f(o).
-2*o*(o - 1)**2*(o + 2)/3
Let k(s) be the second derivative of -s**6/30 - 41*s**5/20 + 65*s**4/6 - 44*s**3/3 - 82*s - 2. Factor k(d).
-d*(d - 2)*(d - 1)*(d + 44)
Let f(g) be the first derivative of -2*g**5/25 + 9*g**4/2 - 86*g**3/15 - 9*g**2 + 88*g/5 - 3575. Let f(h) = 0. What is h?
-1, 1, 44
Let u(i) be the second derivative of -2*i**2 - 49*i + 441/40*i**5 - 3*i**3 - 2 + 343/60*i**6 + 35/12*i**4. Suppose u(h) = 0. Calculate h.
-1, -2/7, 2/7
Let t(f) be the first derivative of -f**4/2 + 16*f**3/3 + 9*f**2 - 636. Factor t(r).
-2*r*(r - 9)*(r + 1)
Let j(h) be the second derivative of h**6/90 + 4*h**5/5 + 11*h**3/3 - 103*h. Let u(t) be the second derivative of j(t). Factor u(c).
4*c*(c + 24)
Let x be 8 + (-3 - (0 - -1)) + 2. Suppose x + 27 = 11*p. Find z, given that -p*z**2 - 37 + 19 + 21 = 0.
-1, 1
Let w = 336305/2 + -168151. Find m such that w - 5/4*m - 1/4*m**2 = 0.
-6, 1
Suppose 316 = 41*q + 70. Let z(v) be the third derivative of 1/50*v**5 + 0*v - 1/40*v**4 + 1/200*v**q - 24*v**2 - 1/5*v**3 + 0. Let z(a) = 0. What is a?
-2, -1, 1
Factor -2/7*r**3 + 0 - 174/7*r**2 + 176/7*r.
-2*r*(r - 1)*(r + 88)/7
Let u be 6550/2210 + (-1905)/(-1651). Suppose 2/17*s**2 + u - 24/17*s = 0. What is s?
5, 7
Let a = 335 + -110. Factor -a - 81 - 5*f**2 - 1629 + 166*f - 65 + 34*f.
-5*(f - 20)**2
Let x(z) be the first derivative of z**2 + 15*z + 9. Let i be x(12). Solve 45 + 37*y**2 - 13*y**2 + 9*y - i*y - 19*y**2 = 0 for y.
3
Let c be ((-1088)/(-4624))/((6/17)/3). Find o such that c*o**2 - 10 + 88/3*o = 0.
-15, 1/3
Let x = 242565 + -242561. Solve -4/13*o + 4/13*o**2 - 2/13 - 4/13*o**5 + 8/13*o**3 - 2/13*o**x = 0 for o.
-1, -1/2, 1
Let p = 23/37180 - -29721/37180. Suppose -4/5*i - p*i**3 + 2*i**2 + 0 = 0. What is i?
0, 1/2, 2
Let t(s) be the first derivative of s**4 + 92*s**3 + 766*s**2 + 1260*s + 2574. Factor t(w).
4*(w + 1)*(w + 5)*(w + 63)
Let k(l) be the third derivative of -37/12*l**5 - 1/42*l**7 + 0 + 5/12*l**6 + 25/2*l**4 - 30*l**3 + 77*l**2 + 0*l. Factor k(f).
-5*(f - 3)**2*(f - 2)**2
Let b(t) be the first derivative of 4/51*t**3 - 4/85*t**5 + 0*t + 1/51*t**6 - 86 + 0*t**4 - 1/17*t**2. Factor b(k).
2*k*(k - 1)**3*(k + 1)/17
Let c(t) be the third derivative of t**7/1470 - t**6/70 - 19*t**5/420 + 57*t**4/28 + 108*t**3/7 - 2*t**2 - 85*t. Find m such that c(m) = 0.
-4, -2, 9
Let z(b) be the first derivative of 335*b**3 + 1503815*b - 5/4*b**4 - 130 - 67335/2*b**2. Determine s so that z(s) = 0.
67
Let a = -751 - -758. Let q be -18 + 11 - (-51)/a. Let q*h**5 + 0*h + 0 + 0*h**2 + 6/7*h**3 + 8/7*h**4 = 0. Calculate h.
-3, -1, 0
Let s(h) = h**3 + 14*h**2 + 24*h + 3. Suppose -4*b = -u - 3*u + 44, -u - 49 = 4*b. Let g be s(b). Factor -4/3*n**4 + 5/3*n**g - 1/3*n**2 + 0 + 0*n.
-n**2*(n - 1)*(4*n - 1)/3
Let a(j) be the first derivative of j**7/840 - j**6/160 + j**4/24 + j**2/2 + 8*j + 96. Let m(f) be the second derivative of a(f). What is n in m(n) = 0?
-1, 0, 2
Solve 6 - 1605*h**2 + 797*h**2 + 19*h + 800*h**2 + 9 = 0.
-5/8, 3
Let m(i) be the second derivative of i**5/12 + 25*i**4/3 + 250*i**3 - 733*i. Factor m(x).
5*x*(x + 30)**2/3
Let q be 0/(-4 - -2) - (-10 - -8). Let v be (0/q)/(-4 - -6). Determine f so that -f - 27*f - 24 + v*f + 12*f**2 = 0.
-2/3, 3
Let y be 18/(-1) + 47/((-1410)/(-620)). Factor -y*m + 2/3*m**2 + 8/3.
2*(m - 2)**2/3
Let m = -2 + 4. Let u = 24/215 - -597/430. Find r such that 6*r**m - 6 + 3/2*r**3 - u*r = 0.
-4, -1, 1
Suppose -610 - 132 + 434 - 900 + 612*s + 115050*s**2 - 115054*s**2 = 0. Calculate s.
2, 151
Let z = -2/2731 - -5145214/1365