 g so that y(g) = 0.
-1, 1
Let r(h) be the second derivative of -36*h + 6*h**2 + 4/3*h**3 + 1/12*h**4 + 0. Factor r(j).
(j + 2)*(j + 6)
Let i(a) = 2*a**3 + 60*a**2 + 58*a + 5. Let g be i(-29). Factor -v**4 + 12*v**3 - 15*v - 6*v**2 - 6 + 13*v**4 + 12*v**g - 9*v**5.
3*(v - 1)*(v + 1)**3*(v + 2)
Let d(l) = -2*l**2 - 50*l - 340. Let i(g) = -2*g**2 - 49*g - 340. Let n(k) = 5*d(k) - 4*i(k). Find b, given that n(b) = 0.
-17, -10
Factor 227*c - 332 + 5*c**2 - 830*c + 90.
(c - 121)*(5*c + 2)
Suppose 0 = 256*r - 55 - 331 - 126. What is y in 1/2*y**r + 26 + 14*y = 0?
-26, -2
Let u be (10/6)/(95 - 90). Let x(a) be the first derivative of a**2 - u*a**3 - 4 + 0*a. Factor x(f).
-f*(f - 2)
Find m such that -3/8*m**2 - 57/4 - 117/8*m = 0.
-38, -1
Let z be 70/56 + ((-475)/(-25))/(-19). Factor 0 + 1/8*v**5 + 1/4*v**2 - z*v**4 - 1/8*v**3 + 0*v.
v**2*(v - 2)*(v - 1)*(v + 1)/8
Let 467/5 + 1/10*y**2 + 469/10*y = 0. Calculate y.
-467, -2
Suppose 4*n - 4*f = 12, n = 2*f + 2 - 1. Factor -n*y - y**2 - 1 + 2 - 1 + 6.
-(y - 1)*(y + 6)
Let p(a) be the second derivative of -102*a**3 - 2*a + 24*a**2 + 507/20*a**5 + 156*a**4 + 14. Factor p(b).
3*(b + 4)*(13*b - 2)**2
Let p(f) be the first derivative of -f**4/4 - 11*f**3 - 94*f**2 - 156*f - 2567. Factor p(u).
-(u + 1)*(u + 6)*(u + 26)
Let s(h) be the second derivative of 67*h - 45*h**2 - 1/4*h**4 - 17/2*h**3 - 1. Factor s(p).
-3*(p + 2)*(p + 15)
Factor 0*n - 12*n**2 + n**3 + 2*n**2 + 2*n + 5*n + 18.
(n - 9)*(n - 2)*(n + 1)
Let d(o) = -6*o**2 + 10*o - 56. Let t be d(12). Let j = t + 1603/2. What is n in -j*n - 15/8 + 3/8*n**2 = 0?
-1, 5
Let c(v) be the first derivative of -43 - 1/12*v**6 + 8/3*v**3 - 2/5*v**5 + 1/8*v**4 + 0*v + 3*v**2. What is b in c(b) = 0?
-3, -2, -1, 0, 2
Let s(p) be the second derivative of -p**4/4 + 90*p**3 + 2775*p**2/2 - 3*p + 2604. Factor s(l).
-3*(l - 185)*(l + 5)
Let 4*v + 153*v**4 + 35*v**2 + 1092*v**3 - 25*v**5 - 897*v**3 - 68*v**4 - 54*v = 0. Calculate v.
-1, 0, 2/5, 5
Let m be 1086/(-8145) - 98/(-60). Find g such that 3*g**2 - m*g**3 + 12*g + 0 = 0.
-2, 0, 4
Let z = 7 - -1. Suppose -z*l = -10*l + 6. Suppose 8 + 2*h**4 + 32*h**2 + 4*h**l + 0 - 8*h - 38*h**2 = 0. Calculate h.
-2, 1
Factor 0 + 2/5*z**2 + 422/5*z.
2*z*(z + 211)/5
Factor -6*g**2 + 16 - 2*g**3 + 3*g**3 + 8 + 2*g - 6*g.
(g - 6)*(g - 2)*(g + 2)
Factor 0 + 98/5*u**2 + 888/5*u + 2/5*u**3.
2*u*(u + 12)*(u + 37)/5
Let f(m) = 48*m - 111 - 5*m + 6*m + 10*m - 123. Let w be f(4). Factor -14/3*p + 10/3*p**2 - 2/3*p**3 + w.
-2*(p - 3)*(p - 1)**2/3
Factor 2575*s + 4124*s**2 + 2126*s**2 + 4373*s + 5*s**3 - 703*s.
5*s*(s + 1)*(s + 1249)
Let t(n) be the second derivative of n**4/36 + 18*n**3 + 323*n**2/6 - 1642*n. Let t(g) = 0. What is g?
-323, -1
Let n be (70 + 2/1)/(56/144). Factor n + 3096/7*j + 10/7*j**3 - 356/7*j**2.
2*(j - 18)**2*(5*j + 2)/7
Let i(b) be the first derivative of 5*b**5 + 0*b**2 - 93 - 35/4*b**4 - 5/6*b**6 + 0*b + 5*b**3. Suppose i(w) = 0. What is w?
0, 1, 3
Let w(x) = x**2 + 285*x + 17116. Let k be w(-199). What is n in -5*n + 8/5 + 3/5*n**k = 0?
1/3, 8
Let y(z) be the third derivative of -z**6/1080 + 2*z**5/135 + z**4/24 - 77*z**2 - 3*z. Let y(u) = 0. Calculate u.
-1, 0, 9
Let q(i) be the second derivative of -13*i**7/147 + 2*i**6/7 + i**5/70 - 3*i**4/7 + 472*i. Suppose q(u) = 0. Calculate u.
-9/13, 0, 1, 2
Factor -2/7*d**2 + 0 + 36*d.
-2*d*(d - 126)/7
Factor 1399680 + 633/4*k**3 - 3/4*k**4 + 221616*k - 10854*k**2.
-3*(k - 72)**3*(k + 5)/4
Suppose 2*w = -10 + 4. Let r be (-2)/w + (-24)/(-18). Factor -5*h - h**r - 10*h**2 + 8*h**2 - 2*h**2.
-5*h*(h + 1)
Determine y, given that 0 - 116/3*y**2 + 61/2*y**3 - 3/2*y**4 + 38/3*y = 0.
0, 2/3, 19
Let y(r) be the third derivative of r**8/1680 + 23*r**7/525 + 51*r**6/50 + 289*r**5/150 - 4913*r**4/24 + 23*r**2 + r. What is m in y(m) = 0?
-17, 0, 5
Let 23/2 - 1/4*x**2 + 21/4*x = 0. Calculate x.
-2, 23
Find q, given that 90*q + 1/12*q**2 + 24300 = 0.
-540
Let n(a) = -23*a**3 + 238*a**2 + 1003*a + 1017. Let l(b) = 6*b**3 - b**2 - b + 1. Let p(x) = 3*l(x) + n(x). Factor p(i).
-5*(i - 51)*(i + 2)**2
Let s(i) be the second derivative of i**8/336 - 2*i**7/35 + 7*i**6/40 - i**5/6 + 99*i**2/2 - 64*i. Let b(o) be the first derivative of s(o). Solve b(w) = 0.
0, 1, 10
Suppose 50*o = 53*o - 27. Let b(n) be the third derivative of -5/3*n**3 + 0 + o*n**2 + 0*n - 1/30*n**5 - 1/2*n**4. Find x, given that b(x) = 0.
-5, -1
Let k = -240 + 240. Let u(i) be the second derivative of 0*i**3 - 2*i**4 + 0*i**2 + 12*i + k - 2/3*i**6 - 17/5*i**5. Factor u(r).
-4*r**2*(r + 3)*(5*r + 2)
Let p = 182612/3 - 60870. Factor -p*w**2 + 2/3 + 0*w.
-2*(w - 1)*(w + 1)/3
Let j be (-46)/(-12) + (2/(-24))/(304/(-1824)). Find h, given that 2*h**3 - 4/3 + 4*h - 1/3*h**4 - j*h**2 = 0.
1, 2
Let t be (-8)/(-42) - (-4980)/2520. Factor 2 + t*j + 1/6*j**2.
(j + 1)*(j + 12)/6
Let w(g) be the second derivative of g**6/90 + 13*g**5/10 + 19*g**4/3 + 11*g**3/3 + g**2/2 + 153*g. Let j(o) be the second derivative of w(o). Factor j(y).
4*(y + 1)*(y + 38)
Let h(z) be the third derivative of -z**8/3360 - z**7/90 - 49*z**6/360 + 31*z**4/6 - 95*z**2. Let o(j) be the second derivative of h(j). Factor o(r).
-2*r*(r + 7)**2
Let a(u) be the third derivative of u**5/120 - 7*u**4/2 + 83*u**3/3 + 2*u**2 + 416*u - 4. Solve a(n) = 0.
2, 166
Suppose -2*i - 64 + 14 = 0. Let f be (-95)/i + 2*2/20. Factor 34*u**3 - 8*u**2 - 18*u**3 - 4*u**4 - 16*u**2 + 16*u - f.
-4*(u - 1)**4
Let k = 99 + -109. Let q be k/55 + (-138)/(-33). Factor -558*y + 558*y - 6*y**3 + 0*y**2 - 2*y**2 - q*y**4.
-2*y**2*(y + 1)*(2*y + 1)
Let x(m) be the third derivative of m**8/2184 - 218*m**7/1365 + 433*m**6/780 - 36*m**5/65 + 1706*m**2. Factor x(j).
2*j**2*(j - 216)*(j - 1)**2/13
Let k be (9/3)/(15/80). Let g be ((-6)/k)/((-1)/8). Factor -8*h + g*h + 0 - 8 - h**2 + 4.
-(h + 1)*(h + 4)
Solve 1408/7 + 5856/7*q - 8/7*q**4 + 886/7*q**2 - 6*q**3 = 0.
-8, -1/4, 11
Let w(x) be the third derivative of x**7/1365 - 49*x**6/780 - 331*x**2. Find s, given that w(s) = 0.
0, 49
Let v(u) be the third derivative of u**6/320 - 39*u**4/64 - 35*u**3/8 + u**2 + 72*u + 5. Factor v(g).
3*(g - 7)*(g + 2)*(g + 5)/8
Let -52/3*i - 2/3*i**2 + 112/3 = 0. What is i?
-28, 2
Let m be (3/(-15))/(-3 - (-210)/50)*-8. Let f(x) be the second derivative of -1/3*x**4 + 1/10*x**5 + 8*x**2 + 14*x + 0 - m*x**3. Let f(s) = 0. Calculate s.
-2, 2
Let c be (65 + -64)/(3/(-18)*-2). Let y(d) be the third derivative of 0*d - 1/60*d**6 - 1/3*d**4 + 0 + 1/6*d**5 + 0*d**c - 7*d**2. Factor y(v).
-2*v*(v - 4)*(v - 1)
Let y = 272 + -228. Solve -68*d**3 + 204*d**4 - 28 + 60*d + 617*d**3 - y + 498*d**2 + 21*d**5 = 0.
-6, -2, -1, 2/7
Let j(s) be the second derivative of 0 + 1/48*s**4 - 65*s + 5/24*s**3 + 3/4*s**2. Find b, given that j(b) = 0.
-3, -2
Let u(m) be the first derivative of -47 + 36*m - 116/3*m**3 - 78*m**2 - 5*m**4. Factor u(k).
-4*(k + 3)**2*(5*k - 1)
Find x, given that -44*x + 88 + 27 + 49 - 4*x**2 + 5*x**2 - 4 = 0.
4, 40
Let b(j) be the first derivative of -2487/16*j**4 - 135*j**3 + 95 + 0*j - 81/2*j**5 - 25/8*j**6 - 75/2*j**2. Let b(i) = 0. Calculate i.
-5, -2/5, 0
Factor 3/5*q**2 - 120*q + 1188/5.
3*(q - 198)*(q - 2)/5
Factor -31/3*d + 61/6 + 1/6*d**2.
(d - 61)*(d - 1)/6
Let t(x) be the third derivative of -x**7/105 - 7*x**6/60 + 29*x**5/15 + 70*x**4/3 + 42*x**2 - x + 1. Factor t(b).
-2*b*(b - 7)*(b + 4)*(b + 10)
Let f be ((-6)/5)/(((-522)/240)/29). Factor 71*h - f*h - 52 - h - 4*h**2 + 2*h + 0*h.
-4*(h - 13)*(h - 1)
Let q be (-2)/(-4) - (-1788)/24. Determine m so that 80*m + 120*m**2 - 68*m**3 - 10*m**5 - q*m**4 - 82*m**3 + 35*m**3 = 0.
-4, -1/2, 0, 1
Let w(f) be the first derivative of -f**6/210 + 2*f**5/105 + f**4/6 + 8*f**3/21 - f**2/2 - 35*f + 14. Let p(z) be the second derivative of w(z). Factor p(s).
-4*(s - 4)*(s + 1)**2/7
Find a such that 1340/3*a**3 - 928/3 - 208/3*a**4 - 2968/3*a**2 - 4/3*a**5 + 2768/3*a = 0.
-58, 1, 2
Let d(m) be the second derivative of 5*m**8/672 + m**7/84 - m**6/48 - m**5/24 + 18*m**2 - 22*m. Let z(f) be the first derivative of d(f). Factor z(g).
5*g**2*(g - 1)*(g + 1)**2/2
Let h(q) be the second derivative of 1/18*q**4 + 0*q**2 - 1 - 8/9*q**3 + 2*q. Factor h(y).
2*y*(y - 8)/3
Let 35/11*x**4 - 32*x - 146/11*x**2 + 63/11*x**3 + 96/11 + 4/11*x**5 = 0. Calculate x.
-4, -3, 1/4, 2
Let c = 58536 + -585