m**6 - 3/38*m**4 + u*m**2. Suppose b(z) = 0. Calculate z.
-1, 0, 2
Factor -300/7 + 12/7*z**2 + 6/7*z**3 - 150/7*z.
6*(z - 5)*(z + 2)*(z + 5)/7
Let s = -584907 + 584910. Determine u, given that -43*u + 123/4*u**s + 49/4*u**5 + 149/2*u**2 + 6 - 161/2*u**4 = 0.
-1, 2/7, 1, 6
Let g be (((-4)/(-9))/(-4))/((-35)/75). Let b = 179/42 + g. Determine c, given that -6*c - 12 + 27*c**2 + b*c**5 + 3/2*c**3 - 15*c**4 = 0.
-1, -2/3, 1, 2
Let y(q) be the second derivative of 2*q**7/21 - 4*q**6/5 + 2*q**5/5 + 12*q**4 - 18*q**3 - 108*q**2 - 940*q. Find s, given that y(s) = 0.
-2, -1, 3
Let q be ((-7035)/42)/67 - 9/(-6)*2. Solve 0 - 39/2*v + q*v**2 = 0.
0, 39
Let u = -2183 - -2183. Let r(s) be the first derivative of 0*s**3 + 2/55*s**5 + u*s**4 - 13 + 0*s + 1/33*s**6 + 0*s**2. Determine h, given that r(h) = 0.
-1, 0
Let s be 0 - (-109932)/224 - (-3)/8. Let i = s + -16336/35. Factor 108/5*d - 14/5*d**5 - 342/5*d**3 - 54*d**2 - i*d**4 + 0.
-2*d*(d + 3)**3*(7*d - 2)/5
Suppose 19 = 5*p - 3*s, -3*p - 4*s + 0 - 6 = 0. Factor 396*r**4 + 0 + 0 + 33*r**3 - 108*r - 393*r**4 + 72*r**p.
3*r*(r - 1)*(r + 6)**2
What is l in 16/9*l**2 - 155/9*l + 1/9*l**3 + 46/3 = 0?
-23, 1, 6
Let p be 1 - 1 - (0/2 + -2). Suppose 10 = x + 5*m - 10, -p*x = -m - 29. Factor -x*u + 40*u**2 - 25*u**3 + 5*u**4 + 4*u - 9*u.
5*u*(u - 2)**2*(u - 1)
Let l(y) = -8*y**5 - 38*y**4 + 266*y**3 - 892*y**2 + 1384*y - 884. Let u(v) = -v**5 - v**2 - 2*v - 2. Let i(r) = -l(r) + 10*u(r). Solve i(q) = 0.
2, 3, 8
Suppose 0 = -5*h - 55 + 35. Let x be (-29)/(-5) - (112/(-35) - h). Solve -3/4*c**3 + 3/4*c**x - 3/2*c**4 + 0*c + 0 + 3/2*c**2 = 0 for c.
-1, 0, 1, 2
Let -36*f**2 - 2*f**4 - 70*f**2 - 377*f**2 + 16*f**3 + 5*f**4 - 64*f**3 = 0. Calculate f.
-7, 0, 23
Let g(z) = z**2 + 2*z + 2. Suppose -18 = 11*m - 2*m. Let s be g(m). Factor 17 + 10 + 18*y**3 - 12*y**s - 3*y**4 - 12*y**2 - 18*y.
-3*(y - 3)**2*(y - 1)*(y + 1)
What is o in 743*o - 902*o + 60*o**2 - 3*o**3 + 36 + 10 + 56 = 0?
1, 2, 17
Let c(n) = n**3 + n**2 - 2. Let q(m) = 20*m**3 - 318*m**2 + 34*m + 264. Let f(i) = 6*c(i) - q(i). Find g, given that f(g) = 0.
-6/7, 1, 23
Let i(x) = -25 - 2*x + x + 36. Let c be i(9). Factor 4 - c - d**3 - 5*d - 2 - 4*d**2 - 2.
-(d + 1)**2*(d + 2)
Let p = -241136 + 1205683/5. Factor 0 - 3/5*i**5 + 0*i**2 + 0*i + 0*i**3 + p*i**4.
-3*i**4*(i - 1)/5
Let h(j) be the first derivative of -2/3*j**3 + 1/2*j**4 + 2*j - j**2 + 111. Factor h(a).
2*(a - 1)**2*(a + 1)
Let n(x) = -x**2 + 30*x. Let m(a) = 12*a + 6. Let k(t) = -11*t - 5. Let o(v) = -6*k(v) - 5*m(v). Let g(j) = -2*n(j) + 11*o(j). Factor g(y).
2*y*(y + 3)
Let b = 103 - 132. Let f be 7 - 0 - b/(435/(-45)). Determine r, given that -42*r - f - 343/2*r**3 - 147*r**2 = 0.
-2/7
Let b(o) be the second derivative of -o**4/4 + 7*o**3/2 - 3*o**2 + 20*o. Let a(p) = -6*p**2 + 41*p - 11. Let k(x) = -6*a(x) + 11*b(x). Factor k(z).
3*z*(z - 5)
Let k(o) be the second derivative of o**5/110 + 12*o**4/11 + 37*o**3 - 2738*o**2/11 - 59*o + 12. Factor k(i).
2*(i - 2)*(i + 37)**2/11
Let o(m) be the third derivative of -m**2 + 0 - 4/33*m**3 - 1/330*m**5 + 5/132*m**4 - 86*m. Factor o(u).
-2*(u - 4)*(u - 1)/11
Let w(r) be the first derivative of r**6/6 + r**5/5 - 15*r**4/4 + 23*r**3/3 - 5*r**2 - 1052. Factor w(d).
d*(d - 2)*(d - 1)**2*(d + 5)
Factor -24*u**3 + 21*u**3 - 51876 - 171654*u + 63357*u - 1137*u**2 - 55287.
-3*(u + 1)*(u + 189)**2
Let h(y) be the second derivative of 14 - 1/12*y**4 - y + 1/10*y**5 + 1/30*y**6 - 1/3*y**3 + 0*y**2. Factor h(x).
x*(x - 1)*(x + 1)*(x + 2)
Let h(a) be the first derivative of -121 + 1849/7*a + 43/7*a**2 + 1/21*a**3. Solve h(v) = 0 for v.
-43
Let w(f) be the second derivative of f**4/30 - 2*f**3/3 + 9*f**2/5 - 356*f. Factor w(g).
2*(g - 9)*(g - 1)/5
Determine v so that 374*v - 5*v**2 + 406*v + 3452*v - 52*v = 0.
0, 836
Suppose 2*n - 8 = -2*c, -5*c - 2*n + 5 = -0*n. Let h be 10 + ((-4)/(-8) - c)*2. Factor 16 - v**4 + h*v**4 - 123*v**3 + 155*v**3 - 20*v - 12*v**2 - 28*v.
4*(v - 1)*(v + 2)**2*(3*v - 1)
Let t(y) be the third derivative of 19/8*y**4 + 0 - 120*y**2 - 37/4*y**3 + 0*y - 1/40*y**5. Factor t(s).
-3*(s - 37)*(s - 1)/2
Suppose 0*d - 11*d = -1496. Factor 66 + 71 + 6*p + 10*p + 64*p**2 - d.
(8*p + 1)**2
Let o(i) be the third derivative of -2/27*i**5 - 3*i**2 + 0*i - 2/27*i**3 + 0 - 13/108*i**4. Factor o(m).
-2*(4*m + 1)*(5*m + 2)/9
Let q(n) be the third derivative of -n**7/105 - 11*n**6/30 - 58*n**5/15 - 85*n**4/6 - 25*n**3 - 847*n**2. Factor q(l).
-2*(l + 1)**2*(l + 5)*(l + 15)
Let r be 4/(-26) - (-4 - 167/(-13)). Let u be (r - -7)*6/(1 + -3). Solve -3 + 9 - 2*v**2 - u = 0.
0
Let g(k) be the first derivative of -127 + 0*k + 1/46*k**4 - 8/23*k**3 + 0*k**2. What is h in g(h) = 0?
0, 12
Factor 50*t**4 - 3155837*t**2 + 2*t**5 + 102*t**3 - 126 + 3155211*t**2 - 138 + 736*t.
2*(t - 1)**3*(t + 6)*(t + 22)
Let s(j) = -504 + 310 - 424 + 102*j - 79*j. Let m be s(27). Find h such that 0 + 0*h - 1/2*h**m - 1/2*h**2 = 0.
-1, 0
Factor 2*y**4 - 315*y**2 - 2*y**3 - 1617*y + y**4 - 19*y**3 + 30*y**3.
3*y*(y - 11)*(y + 7)**2
Let f be (-130)/(-13) + 644/(-69). Let d(w) be the first derivative of f*w**2 - 2/27*w**3 - 10/9*w - 37. Factor d(h).
-2*(h - 5)*(h - 1)/9
Let j be 2106/312*(0 - 448/(-105)). Factor -3/5*c**2 - 1728/5 + j*c.
-3*(c - 24)**2/5
Let l be ((-308)/(-42) + -7)*39. Let y(x) be the second derivative of -4/5*x**6 - l*x - 1/3*x**7 - 3/10*x**5 + 0*x**3 + 0 + 1/3*x**4 + 0*x**2. Factor y(a).
-2*a**2*(a + 1)**2*(7*a - 2)
Let m = -717 - -724. Let w be (3 - 0) + (m - 6) + -4. Let 0*j + 2*j**4 + 4/3*j**5 - 16/3*j**3 + w + 2*j**2 = 0. Calculate j.
-3, 0, 1/2, 1
Suppose -32*b**5 - 5632 - 6*b**3 + 307*b**4 + 65*b**4 - 10806*b - 330*b - 5912*b**2 + 2*b**3 = 0. Calculate b.
-2, -11/8, -1, 8
Let b(z) be the first derivative of -z**6/30 - 3*z**5/20 + 3*z**4/4 - 5*z**3/6 + 16*z + 74. Let o(n) be the first derivative of b(n). Solve o(u) = 0.
-5, 0, 1
Let z(x) be the second derivative of x**6/1260 - 3*x**5/7 + 675*x**4/7 - 34*x**3 + 12*x. Let g(a) be the second derivative of z(a). Find b, given that g(b) = 0.
90
Let h(a) = a**3 + 11*a**2 - 3*a. Let r be h(-11). Let v = 35 - r. Find x, given that -30 - 3*x**3 - x**2 + x**4 + x**5 + v*x + 30 = 0.
-2, -1, 0, 1
Solve -105/4*w**2 - 9/2*w - 143/4*w**3 + 0 + 33/4*w**4 + 9/4*w**5 = 0 for w.
-6, -1/3, 0, 3
Let i be (-5)/10 + 54/4. Suppose 2*b - 5*j - 4 = -i, 3*b + 6 = 5*j. Determine y, given that -17*y**b + 4 + 13*y**3 - 4 + 4*y**4 = 0.
0, 1
Let l(p) be the first derivative of -p**6/4 - 78*p**5/5 - 1863*p**4/8 + 729*p**3 - 328. Solve l(g) = 0.
-27, 0, 2
Let a = -4077 + 7337. Let d = a + -16246/5. Suppose -2/15 - 126/5*b**4 - 44/5*b**2 - d*b**5 - 26/15*b - 108/5*b**3 = 0. Calculate b.
-1, -1/3
Let r be (3/12)/((-17)/(-136)). Factor r*y**3 - 9*y**3 - 2*y - 3*y + 12*y**3.
5*y*(y - 1)*(y + 1)
Let n be (((-5160)/9)/43)/(2/(-3)). Let c(a) be the second derivative of -1/50*a**5 + 1/30*a**4 - n*a + 0*a**3 + 0*a**2 + 0. Let c(l) = 0. What is l?
0, 1
Let r be (5*(-2)/4)/((1260/96)/(-21)). Let f(k) be the first derivative of -30*k + 27 + 20/3*k**3 + 5/4*k**r + 5/2*k**2. Factor f(v).
5*(v - 1)*(v + 2)*(v + 3)
Let r(l) = -85*l**2 + 87*l - 5. Let z(a) = -87*a**2 + 90*a - 6. Let f(n) = -6*r(n) + 5*z(n). Factor f(g).
3*g*(25*g - 24)
Let o be 5/6*171912/16530. Let 2/3*f**2 + 44/3 + o*f = 0. What is f?
-11, -2
Let p(o) be the first derivative of 6*o - 11/8*o**2 - 52 + 1/12*o**3. Solve p(v) = 0.
3, 8
Let n(c) = -c - 15. Let i = -25 + 8. Let l be n(i). Factor -6*a**2 + 54*a + 3*a**l - 243 + 0*a**2.
-3*(a - 9)**2
Let v = 3259 + -3255. Let f(o) be the second derivative of -1/36*o**v - 5*o + 0 + 0*o**3 + 0*o**2. Let f(y) = 0. What is y?
0
Let s(f) be the third derivative of -f**7/210 + 349*f**6/40 - 137809*f**5/30 + 68295*f**4/2 - 90828*f**3 - 15*f**2 + 128*f. Suppose s(z) = 0. Calculate z.
1, 2, 522
Suppose 78*a - 87*a = 12654. Let f = 18284/13 + a. Factor 0 + 0*m - f*m**2 + 2/13*m**3.
2*m**2*(m - 3)/13
Let h be 1 + 1 + (-174)/(-72) - (-200)/(-50). Let f(q) be the second derivative of h*q**4 + 0 - 10/3*q**3 - 11*q + 0*q**2. Factor f(l).
5*l*(l - 4)
Let h(m) be the second derivative of -m**6/90 + 14*m**5/15 - 98*m**4/3 - 41*m**3/3 + 33*m - 2. Let a(p) be the second derivative of h(p). Factor a(c).
-4*(c - 14)**2
Let i(z) be the first derivative of -z**6/360 - z**5/3 + 