d derivative of h**7/42 + 31*h**6/60 + 43*h**5/20 - 56*h**4/3 - 98*h**3/3 - 7*h**2 - 3. Factor p(r).
(r - 2)*(r + 7)**2*(5*r + 2)
Let n(j) = 2*j**2 - 3*j + 2. Let t be n(2). Determine x so that 230*x - 627*x**3 + 290*x - 112*x**4 + 414*x**2 - 40*x - 251*x**t + 54 + 42 = 0.
-2, -4/11, 1
Let r = 258133/102 + -5061/2. Let u = 179/357 - r. Factor 72/7*v + 24/7*v**2 + u*v**3 + 0.
2*v*(v + 6)**2/7
Let x(y) be the third derivative of y**5/210 + 26*y**4/3 + 727*y**3/21 + 286*y**2 + 4*y + 3. What is r in x(r) = 0?
-727, -1
Let a(x) be the second derivative of 0*x**2 - 1/78*x**4 + x - 2/13*x**3 - 8 + 1/26*x**5. Factor a(i).
2*i*(i + 1)*(5*i - 6)/13
Let s(h) be the third derivative of -6*h + 0 + 5/48*h**4 - 7/720*h**6 + 17/360*h**5 - 2*h**2 - 1/4*h**3. Factor s(t).
-(t - 3)*(t + 1)*(7*t - 3)/6
Suppose -15 = -5*u, 3*n + 36*u = 41*u - 147. Let z be (-4536)/(-630)*(-10)/n. Suppose -2/11*p**2 - 16/11*p + z = 0. What is p?
-9, 1
Let m(o) = -5*o**2 + 1391 + 19*o - 1440 - 8*o**2. Let g(a) = -3*a**2 + 5*a - 12. Let d(c) = 9*g(c) - 2*m(c). Determine j, given that d(j) = 0.
2, 5
Let i = -225 + 227. Factor -140*d**2 + 70*d**3 + 1151 + 5*d**4 - 991 - 40*d - 7*d**5 + i*d**5.
-5*(d - 2)**3*(d + 1)*(d + 4)
Suppose -7*x = -13 - 15. Suppose -b + 16 = x*d - 4, 4*b - 24 = -2*d. Factor d - 2*i**3 - 4*i**3 - 30*i + 32*i - 8*i**2.
-2*(i + 1)**2*(3*i - 2)
Let k = -6136603/5 - -1227321. Let l be (-1 + 8/10)/(-1). Factor -k*m + 0 + l*m**2.
m*(m - 2)/5
Let x be (120/(-70))/((-12)/(-126)). Let v be (-4)/x + 1/(-36)*-262. Suppose -60*m - v*m**4 - 24 - 30*m**3 - 3/4*m**5 - 60*m**2 = 0. What is m?
-2
Factor 12/5*l**4 + 9/5*l**5 + 0 - 11/5*l**3 + 0*l + 2/5*l**2.
l**2*(l + 2)*(3*l - 1)**2/5
Factor 1172/7*g - 171698/7 - 2/7*g**2.
-2*(g - 293)**2/7
Let s = -196 + 580. Let h be (-38)/247 - s/(-130) - 0. Factor 0*t + 0 + 4/5*t**2 + h*t**3.
2*t**2*(7*t + 2)/5
Let w(p) = -11*p**3 + 54*p**2 - 148*p + 147. Let r(a) = -3*a**3 + 2*a**2 - a. Let g(j) = 4*r(j) - w(j). Let h be g(-49). Factor h*b + 0 - 10/3*b**2 + 5/3*b**3.
5*b**2*(b - 2)/3
Let y = -82746/7 + 910220/77. What is s in -16/11*s - 2/11*s**4 - y*s**3 + 20/11*s**2 + 0 = 0?
-4, 0, 1, 2
Let u(q) be the first derivative of q**5/10 + 11*q**4/8 + 13*q**3/2 + 49*q**2/4 + 10*q + 438. Factor u(i).
(i + 1)**2*(i + 4)*(i + 5)/2
Let t be (36 + 2847/(-78))*(1 + -1). Let v(d) be the third derivative of -16*d**2 + 0*d**3 - 1/12*d**4 + 0 + t*d + 1/90*d**5. Factor v(c).
2*c*(c - 3)/3
Let n be (-32)/(-12) - (3695/(-285) - -13). Solve 0 - n*m**2 - 12/19*m + 18/19*m**3 = 0.
-2/9, 0, 3
Determine u, given that -42 - 514*u + 267 - 25*u**2 + 874*u = 0.
-3/5, 15
Let i(p) be the first derivative of 4*p**5/5 - 79*p**4/6 + 14*p**3/9 + 79*p**2/3 - 26*p/3 - 1972. Find g, given that i(g) = 0.
-1, 1/6, 1, 13
Let f(z) be the first derivative of 55/3*z**3 + 0*z + 95 + 5*z**4 - 15/2*z**2. Suppose f(l) = 0. Calculate l.
-3, 0, 1/4
Let i(m) be the second derivative of m**7/21 - 17*m**6/15 + 93*m**5/10 - 175*m**4/6 + 98*m**3/3 + 7548*m. Factor i(x).
2*x*(x - 7)**2*(x - 2)*(x - 1)
Factor 85*v + 1/2*v**3 + 0 + 27/2*v**2.
v*(v + 10)*(v + 17)/2
Let d(z) = 2*z**2 - 10*z. Suppose f - 4*c - 16 = 0, 5*f - 4*c + 10 = 42. Let m(p) = -2*p**2 + 11*p. Let h(k) = f*m(k) + 5*d(k). Determine l so that h(l) = 0.
0, 3
Let t be (4/6)/((-6)/279). Let l = t + 38. Factor 7 - l*d**4 + 2*d + 8*d**4 - 4*d**3 - 23 + 14*d.
(d - 2)**3*(d + 2)
Let r be ((-927)/206)/(3/(-4)). Let v(k) be the second derivative of 4/9*k**3 - k - 1/3*k**4 + 0*k**2 + 0 + 4/45*k**r - 1/5*k**5. Let v(n) = 0. Calculate n.
-1, 0, 1/2, 2
Let n be (5/2 + -1)/(1/2). Find i, given that 3*i**n - 239*i**2 - i**3 + 12 + 235*i**2 + 2*i - 12*i = 0.
-2, 1, 3
Let y(j) be the second derivative of 3*j**7/14 - 28*j**6/5 + 837*j**5/20 - 81*j**4/2 - j + 17. Factor y(o).
3*o**2*(o - 9)**2*(3*o - 2)
Let r(b) be the first derivative of b**4/4 - 58*b**3/3 - 59*b**2/2 + 1155. Factor r(s).
s*(s - 59)*(s + 1)
Suppose 0 = -21*j - 515 + 557. Let g(m) be the second derivative of -1/36*m**4 - m**j - 10*m - 5/18*m**3 + 0. Solve g(t) = 0 for t.
-3, -2
What is i in 152*i + 3*i**2 - 5*i**2 + 8*i = 0?
0, 80
Let x(a) be the third derivative of -a**8/2688 + 13*a**6/288 + a**5/4 + 7*a**4/6 - a**3/3 + 221*a**2. Let j(h) be the second derivative of x(h). Factor j(b).
-5*(b - 4)*(b + 1)*(b + 3)/2
Let w = 165659/26157 + 2/26157. Factor 1/3*f**2 + 0 + w*f.
f*(f + 19)/3
Let y be 10/9*954/424. Factor 0 - g**3 + 3*g + y*g**2 - 1/2*g**4.
-g*(g - 2)*(g + 1)*(g + 3)/2
Let i(y) = 3*y**3 - 65*y**2 + 221*y + 35133. Let t(l) = -19*l**3 + 389*l**2 - 1329*l - 210799. Let w(m) = 65*i(m) + 10*t(m). Factor w(h).
5*(h - 43)**2*(h + 19)
Let l be 2 - -1 - (3 - 2). Factor -5*a**l + 91*a - 1400 + 49*a + 420.
-5*(a - 14)**2
Let t(m) be the third derivative of 0*m**3 - 3/8*m**4 + 0 - 150*m**2 + 1/240*m**6 + 0*m + 7/120*m**5. Factor t(p).
p*(p - 2)*(p + 9)/2
Suppose -77*s + 314 - 115 = -186. Let c(t) be the third derivative of 2*t - 5*t**2 + 13/9*t**3 + 0 - 1/90*t**s + 1/3*t**4. Factor c(o).
-2*(o - 13)*(o + 1)/3
Let s(y) = 6*y**2 - 49*y + 104. Suppose 103 = -16*r + 7. Let i(q) = 8*q**2 - 50*q + 104. Let v(a) = r*s(a) + 5*i(a). Factor v(t).
4*(t - 2)*(t + 13)
Let t(d) be the third derivative of 1/100*d**6 + 45*d + 1/350*d**7 + 0*d**4 + 2*d**2 + 0 + 0*d**3 - 3/100*d**5. Factor t(s).
3*s**2*(s - 1)*(s + 3)/5
Let t(j) = -4*j**4 + 133*j**3 + 93*j**2 - 1762*j + 844. Let x(f) = -f**4 - 3*f**3 - f**2 + 2. Let d(l) = -t(l) + 2*x(l). What is w in d(w) = 0?
-4, 1/2, 3, 70
Let o be (-29)/(-1) - (-10 - -15). Suppose o + 4 = 14*v. Factor -18/7 - 69/7*x - 3*x**v.
-3*(x + 3)*(7*x + 2)/7
Factor 45*t**2 - 48*t**3 - 192 - 4*t**4 - 23229*t + 23357*t + 4*t**5 + 19*t**2.
4*(t - 2)**3*(t + 2)*(t + 3)
Let r = 342 - -745. Let j = r - 5434/5. Determine y, given that -j*y**3 + 0 + 0*y + 0*y**2 = 0.
0
Suppose -3*g - 15 + 16 = -47. Let n(y) be the second derivative of 0 + y**2 + g*y + 1/2*y**4 + 1/10*y**5 + y**3. Suppose n(p) = 0. Calculate p.
-1
Let p be 3 + 4556/20 + 21/105. Suppose -968 + 70*n**2 + 687*n - 46*n**2 + 2*n**3 - p*n + 424*n + 62*n**2 = 0. Calculate n.
-22, 1
Let u(c) = -11*c**2 - 15*c + 2. Let j(g) = 65*g**2 + 90*g - 10. Let l = 190 + -155. Let f(z) = l*u(z) + 6*j(z). Determine r, given that f(r) = 0.
-2, -1
Let q(w) = -11*w**3 - 1080*w**2 - 195*w + 104. Let g be q(-98). Let t(n) be the first derivative of 3/4*n**4 - 21 + g*n**2 - 4*n**3 + 0*n. Factor t(k).
3*k*(k - 2)**2
Let k be 138/(-9) - 2/(-6). Let f be (k/(-10))/((-2)/(-4)*1). Let -18*b - 28*b + 56*b + 20*b**f + 25*b**2 + 5*b**4 = 0. What is b?
-2, -1, 0
Let l(o) = -17*o**4 - 107*o**3 + 401*o**2 - 316*o - 52. Let w(z) = 13*z**4 + 80*z**3 - 301*z**2 + 238*z + 40. Let i(v) = -10*l(v) - 13*w(v). Factor i(x).
x*(x - 2)*(x - 1)*(x + 33)
Factor -3/7*h**3 - 18/7*h**2 + 18 + 39/7*h.
-3*(h - 3)*(h + 2)*(h + 7)/7
Suppose -1914*s**2 - 33/2*s**5 - 1389*s**3 - 660*s - 687/2*s**4 + 192 = 0. What is s?
-16, -2, -1, 2/11
Suppose 3*k + 18*s + 1 = 16*s, 0 = 5*k - 2*s - 41. Let c(d) be the third derivative of 1/240*d**k + 0 - 1/48*d**4 + 0*d + 1/24*d**3 - 10*d**2. Factor c(y).
(y - 1)**2/4
Let t be (-25 + 29)/(((-2)/9)/(-1)). Suppose -11*a - 40 + 15*a**2 + 8*a + 35*a + t*a = 0. What is a?
-4, 2/3
Factor 7967*u**2 - 22980*u + 4*u**4 + 124548*u + 23681*u**2 - 459*u**3 - 265*u**3.
4*u*(u - 92)**2*(u + 3)
Determine t, given that -3/8*t**4 + 27 - 33/2*t + 33/8*t**3 - 21/4*t**2 = 0.
-2, 2, 9
Let 369792/5*k + 2/5*k**3 + 1724/5*k**2 - 746496/5 = 0. Calculate k.
-432, 2
Let k(j) be the third derivative of 1/9*j**4 + 0 + 1/180*j**6 + 0*j**3 + 102*j**2 + 1/18*j**5 + 0*j. Find q such that k(q) = 0.
-4, -1, 0
Let c(f) = -3*f**2 + 357*f - 4408. Let u be c(105). Factor -21/2*a + 0 + 5*a**u - 1/2*a**3.
-a*(a - 7)*(a - 3)/2
Let x(q) be the first derivative of 0*q + 0*q**2 - 5/3*q**3 - 47 + 1/4*q**4. Solve x(u) = 0 for u.
0, 5
Let m = -9370 - -9372. What is k in 1/3*k**3 + 17/3 - 11*k + 5*k**m = 0?
-17, 1
Let o(m) be the first derivative of -3000*m**2 - 5/4*m**4 + 40000*m - 74 + 100*m**3. Factor o(s).
-5*(s - 20)**3
Suppose 4976*z = 4954*z + 88. Let c(b) be the first derivative of -21 - 2*b**z - 12*b**2 - 22/3*b**3 - 9*b - 1/5*b**5. Find p, given that c(p) = 0.
-3, -1
Let w(q) be the second derivative of -3*q**5/50 - 37*q**4/30 - 391*q**3/45 - 289*q**2/15 - 319*q. Factor w(i).