1/4*s**2 - l*s - 7*s**5 - 41/4*s**4 = 0.
-1, 0, 1/4, 2/7
Let i = -15798 + 15800. Factor 2/5*l + 1/5 - 3/5*l**i.
-(l - 1)*(3*l + 1)/5
Let o be 1430/(-1287) + (-84)/(-27). What is h in h**3 - 1/3*h**4 + 0 + 1/3*h - h**o = 0?
0, 1
Let v(o) be the second derivative of -o**5/90 + 25*o**4/18 - 481*o**3/9 + 1369*o**2/9 + 45*o - 1. Factor v(s).
-2*(s - 37)**2*(s - 1)/9
Factor 9953 - 28558 - 2*k**2 - 914*k + 0*k**2 - 3*k**2 + 304*k.
-5*(k + 61)**2
Let f(t) = t - 2. Let g be f(12). Let i = g - 3. Let -2*x**4 + i*x**5 - 2*x**2 - x**4 + 0*x**2 + 5*x**4 - 7*x**3 = 0. Calculate x.
-1, -2/7, 0, 1
Let s = 92 + 10. Let x be (3 - 0) + s/(-42). Find r such that x*r + 2/7*r**4 - 2/7*r**2 + 0 - 4/7*r**3 = 0.
-1, 0, 1, 2
Let n be 45/21 - 548/308. Solve 8/11*x**4 + 10/11*x**3 + n*x**2 + 0 + 2/11*x**5 + 0*x = 0.
-2, -1, 0
Let s(w) be the third derivative of 0*w + 0*w**3 + 0 - 1/12*w**5 - 21*w**2 + 5/8*w**4. Factor s(n).
-5*n*(n - 3)
Suppose 0 = -362*j + 353*j + 54. Let t(x) be the first derivative of -3/2*x**4 + 0*x**2 + 1/3*x**j + 9 + 0*x**5 + 4/3*x**3 + 0*x. Suppose t(o) = 0. What is o?
-2, 0, 1
Let x(t) be the first derivative of 2*t**5/35 - 3*t**4/14 + 4*t**2/7 - 97. Determine z, given that x(z) = 0.
-1, 0, 2
Let s(p) be the third derivative of -22*p**2 + 0*p**3 + 1/6*p**4 + 1/8*p**6 + 0*p - 3/10*p**5 + 5/84*p**7 + 0. Factor s(c).
c*(c + 2)*(5*c - 2)**2/2
Let b(o) be the first derivative of 2*o**5/35 + 24*o**4/7 + 384*o**3/7 + 170. Find k such that b(k) = 0.
-24, 0
Solve 50 - 1/3*z**2 - 5/3*z = 0 for z.
-15, 10
Let t(u) be the second derivative of u**7/2520 - u**6/180 + u**5/40 + 25*u**4/12 + 44*u. Let m(k) be the third derivative of t(k). What is q in m(q) = 0?
1, 3
Let m = -312 - -312. Let f be (-65)/(-9) - (m + 7). Factor -8/9*v**2 + 0 - 8/9*v**4 - 2/9*v**5 - f*v - 4/3*v**3.
-2*v*(v + 1)**4/9
Let y(d) be the first derivative of 5*d**4/16 + 5*d**3/4 - 25*d**2 + 491. Factor y(a).
5*a*(a - 5)*(a + 8)/4
Let a(n) be the first derivative of 4*n**5/25 + 11*n**4/5 + 88*n**3/15 - 24*n**2 - 288*n/5 - 706. What is b in a(b) = 0?
-6, -1, 2
Factor 60*x - 8 - 54*x**2 + 6*x**3 + 2*x**3 + 5*x**3.
(x - 2)**2*(13*x - 2)
Suppose 19*d**2 + 66*d**4 - 41*d**4 - 32*d**4 - 22*d**3 + 12*d - 4*d**3 + 2*d**3 = 0. Calculate d.
-4, -3/7, 0, 1
Suppose -5*i + 20 = -2*d, 38*d + 16 = 41*d + 4*i. Determine v so that -2/5*v**2 - 6/5*v**3 + 2/5*v**4 + 2/5*v**5 + d + 4/5*v = 0.
-2, -1, 0, 1
Let g = 39025/9 - 4336. Find w such that 0 + g*w**4 + 1/3*w**3 + 0*w - 4/9*w**2 = 0.
-4, 0, 1
Factor -10053 + 4181 - 8528 - 480*h - 4*h**2.
-4*(h + 60)**2
Let j(u) be the first derivative of u**6/24 - 9*u**5/20 - u**4 + 8*u**3/3 - 12. Let m(f) be the third derivative of j(f). Suppose m(g) = 0. Calculate g.
-2/5, 4
Let o be (7/21)/(2/6). Let w be (-6)/o*(-6)/16. Determine b so that -w*b - 3/4*b**3 + 3/4 + 9/4*b**2 = 0.
1
Let k(i) be the first derivative of -5*i**2 - 5/3*i**3 - 4 - 5*i. Factor k(o).
-5*(o + 1)**2
Suppose -2*y + 3*a + 140 = 0, -y + 0*a + 2*a = -70. Let g = -67 + y. Determine b so that -8/7*b**2 + 16/7*b - b**4 - 1/7*b**5 + 16/7 - 16/7*b**g = 0.
-2, 1
Let w be 35/175 - (42/(-5))/(-2). Let a(v) = -8*v**3 - 8*v**2 + 28*v - 8. Let h(r) = r**2 - r + 1. Let j(g) = w*h(g) + a(g). Let j(d) = 0. Calculate d.
-3, 1/2, 1
Let g(w) = -4*w**4 - 21*w**3 - 5*w + 5. Let f(u) = -4*u**4 - 21*u**3 + u**2 - 6*u + 6. Let v(p) = -5*f(p) + 6*g(p). Find z such that v(z) = 0.
-5, -1/4, 0
Factor 2/3*p**4 - 18*p**2 - 28/3*p - 8*p**3 + 0.
2*p*(p - 14)*(p + 1)**2/3
Let l(y) be the first derivative of 2*y**3/15 - 4*y**2 + 72*y/5 - 36. Factor l(o).
2*(o - 18)*(o - 2)/5
Let j(o) = o**3 - 6*o**2 - 4*o - 19. Let r be j(7). Let n be ((-1)/5)/(r + 13/(-5)). Factor 0 + n*v**2 + 1/3*v.
v*(v + 1)/3
Let f be 31/62 + 23/(-54). Let v(a) be the second derivative of 5*a + 1/18*a**4 + 0*a**2 - f*a**3 + 0. Let v(j) = 0. Calculate j.
0, 2/3
Let v = 0 + 2. Let h = 1781 - 1778. Suppose 11*i**2 - 3*i**2 - v*i**h + 18*i**4 + 0*i**2 + 26*i**3 = 0. Calculate i.
-2/3, 0
Let g be 185/(-74)*(-6)/10. Let n(o) be the first derivative of 7/12*o**3 - 4 - o - g*o**2. Factor n(x).
(x - 2)*(7*x + 2)/4
Let j = -1/98 - -27/245. Let l(q) be the third derivative of 0*q - 1/12*q**4 - 4*q**2 + 1/15*q**6 + j*q**5 + 0*q**3 + 0. Factor l(d).
2*d*(d + 1)*(4*d - 1)
Suppose -5*f - 3*b - b - 1074 = 0, 888 = -4*f + 4*b. Let y = 1964/9 + f. Find r such that 0 - 2/9*r + y*r**2 = 0.
0, 1
Let t be (147/(-14) + 6)*4/(-6). Let y(d) be the third derivative of 0*d**5 + 0*d**t + 0*d - 1/120*d**4 - d**2 + 0 + 1/600*d**6. Factor y(b).
b*(b - 1)*(b + 1)/5
Let d(p) = 2*p**2 + 2*p + 1. Let n(s) = 5*s**3 + 56*s**2 + 101*s + 48. Let c(m) = 2*d(m) + n(m). Suppose c(v) = 0. What is v?
-10, -1
Let y be ((1180/(-8) - 4)*-1)/(-3). Let k = 152/3 + y. Determine o so that -1/6*o + k*o**2 + 0 = 0.
0, 1
Let j(v) be the first derivative of -1/12*v**4 + 3 - 1/9*v**3 + 0*v + 1/3*v**2. Factor j(z).
-z*(z - 1)*(z + 2)/3
Let z be ((-372)/(-217))/((-33)/(-14)). Solve -30/11*y**4 - 8/11*y + 58/11*y**3 + z*y**2 + 0 = 0 for y.
-2/5, 0, 1/3, 2
Let j(q) be the second derivative of -q**5/15 + q**4 + 14*q**3/3 + 9*q**2/2 + 11*q. Let v(h) be the first derivative of j(h). Determine b, given that v(b) = 0.
-1, 7
What is s in 345*s**2 - 330*s**2 - 42*s + 14 + 10 = 0?
4/5, 2
Let k(z) be the third derivative of -z**7/630 - 7*z**6/270 + 17*z**5/90 - z**4/2 + 25*z**3/6 + 2*z**2. Let o(u) be the first derivative of k(u). Factor o(n).
-4*(n - 1)**2*(n + 9)/3
Let p(g) be the second derivative of -g**7/5460 - g**6/780 - g**5/390 - 10*g**3/3 - 2*g. Let n(b) be the second derivative of p(b). Factor n(i).
-2*i*(i + 1)*(i + 2)/13
Let t(i) = -i**3 + 4*i**2 + 3*i + 3. Let v be t(5). Let f = -5 - v. Factor -3*s**2 - 8*s + 2*s**2 - s**2 + f*s - 4.
-2*(s + 1)*(s + 2)
Find i, given that 8 + 8/9*i - 10*i**2 - 10/9*i**3 + 2*i**4 + 2/9*i**5 = 0.
-9, -2, -1, 1, 2
Let g(f) be the second derivative of -f**6/720 + f**5/60 + 13*f**3/3 + 12*f. Let n(c) be the second derivative of g(c). Factor n(p).
-p*(p - 4)/2
Let a(f) be the first derivative of 0*f**2 + 1/360*f**6 + 0*f + 0*f**4 - 1/3*f**3 + 1/120*f**5 + 8. Let p(z) be the third derivative of a(z). Factor p(y).
y*(y + 1)
Suppose 4*q = 3*i - 4, -19*i - 8 = -21*i. Determine f so that 33/4*f**q - 21/4*f - 3/2 - 27/4*f**4 + 21/4*f**3 = 0.
-1, -2/9, 1
Let k(t) be the third derivative of -1/7*t**3 + 1/140*t**5 + 0*t + 0 + 1/56*t**4 - 4*t**2. Determine i, given that k(i) = 0.
-2, 1
Find o, given that 9108 + 5776 + 4*o**2 - 10*o - 478*o = 0.
61
Let x be -3*(-3 + 8/(-3)). Solve 35*h + 68*h - 75 - 24*h**3 + x*h - 3*h**4 - 18*h**2 = 0.
-5, 1
Factor 36*b**2 + 33*b**4 + b - 29*b**4 - b - 14*b**3 - 10*b**3.
4*b**2*(b - 3)**2
Let j(g) = 12*g + 16. Let h be j(-1). Let b(y) be the first derivative of 0*y + 3/2*y**2 + 1/4*y**h - 8 - 4/3*y**3. Determine n so that b(n) = 0.
0, 1, 3
Suppose 2*u - 185 = -3*u. Let f = u - 22. Factor -3 + f*j + 11*j**2 + 6*j**2 + 1.
(j + 1)*(17*j - 2)
Let g = 15 - 13. Suppose 48 = -m + g*m. Factor -6*f + m*f**3 + 64*f**4 + 9*f**2 - 37*f**4 + 6*f**2.
3*f*(f + 1)**2*(9*f - 2)
Let r(d) be the third derivative of d**7/140 - 19*d**5/40 - 3*d**4/8 + 18*d**3 - 111*d**2 + 2. What is b in r(b) = 0?
-3, 2, 4
Let y be 33/(-44)*4/78. Let s = y - -29/78. Solve s*t**2 + 0 + 1/6*t**4 + 1/2*t**3 + 0*t = 0 for t.
-2, -1, 0
Factor 15*z**2 + z**3 + 4*z**3 - 19*z**2 - 5*z - z**2 + 5*z**4.
5*z*(z - 1)*(z + 1)**2
Let h(j) be the third derivative of 0 - 1/60*j**5 + 1/6*j**3 + j**2 + 0*j**4 + 0*j. Factor h(o).
-(o - 1)*(o + 1)
Let m be 5*1 - 845/195. Suppose 1/3 + 0*o**2 - 1/3*o**4 - 2/3*o + m*o**3 = 0. Calculate o.
-1, 1
Factor 0 + 2/5*f**3 + 6/5*f - 8/5*f**2.
2*f*(f - 3)*(f - 1)/5
Suppose 4*b**2 - 4*b**2 + 2*b**2 - 5*b**2 - 9*b**2 - 16*b**3 + 4*b = 0. What is b?
-1, 0, 1/4
What is q in -8 + 3*q**3 + 104 - 213*q**2 + 249*q**2 + 108*q = 0?
-8, -2
Let a = -6989/34 + 413/2. Let a + 8/17*h - 4/17*h**2 - 2/17*h**3 = 0. Calculate h.
-2, 2
Let u be (7/6)/(952/408). Factor -u - 1/2*b**2 + b.
-(b - 1)**2/2
Let g = 117 - 119. Let h be 1/(-1)*(g - -2)/1. Suppose -8/7*l**4 + 2/7*l**5 + h - 6/7*l + 4/7*l**3 + 8/7*l**2 = 0. What is l?
-1, 0, 1, 3
Let n(z) = 142*z - 1136. Let a be n(8). Factor 12/5*w**4 + 6/5*w**2 + a*w + 3*w**3 + 0 + 3/5*w**5.
3*w**2*(w + 1)**2*(w + 2)/5
Let g(q) be the second derivative of q**7