n**2 - 275*n**4 + 446*n**3 + 269*n**4 + 15*n - n**5.
-(n - 1)**2*(n + 2)*(n + 3)**2
Factor -442777*j + 5730*j**4 + 1786761 - 5725*j**4 + 17737*j - 624*j**3 + 64*j**3 + 23270*j**2 + 1093644.
5*(j - 33)**2*(j - 23)**2
Factor 0 + 48/5*o - 4/5*o**2 + 2/5*o**4 - 2*o**3.
2*o*(o - 4)*(o - 3)*(o + 2)/5
Let i = 24926 - 49849/2. Determine m so that -m - i*m**3 + 2*m**4 - 9/2*m**2 + 0 = 0.
-1, -1/4, 0, 2
Let h(t) be the second derivative of -t**5/50 + 17*t**4/30 - 31*t**3/15 + 3*t**2 - 1307*t - 2. Solve h(g) = 0 for g.
1, 15
Let x(y) = -y**3 + 23*y**2 + 27*y - 56. Let r be x(24). Let -14 - r - 2 + 24*o - 4*o**2 = 0. What is o?
2, 4
Let x(s) be the second derivative of -1 + 21/50*s**5 + 0*s**2 + 1/5*s**3 - s + 11/20*s**4. Factor x(v).
3*v*(2*v + 1)*(7*v + 2)/5
Suppose 0 = -m + 3*m + 8. Let k(n) = -10*n**3 - 10*n**2 - 8*n - 4. Let h(y) = -54*y + 53*y - 3*y**2 + 1 + 4*y**2 - 2. Let g(f) = m*h(f) + k(f). Solve g(w) = 0.
-1, -2/5, 0
Let t(g) = -6*g**2 - 4*g + 12. Let w(k) = 43*k**2 + k - 76*k**2 + 34*k**2. Let y(n) = t(n) + 5*w(n). Factor y(r).
-(r - 4)*(r + 3)
Let j(t) = -8*t**4 - 44*t**3 + 4*t**2. Let g(l) = 11*l**4 + 44*l**3 - 5*l**2. Let w(m) = -4*g(m) - 5*j(m). Factor w(i).
-4*i**3*(i - 11)
Let p(f) be the second derivative of f**5/20 - 223*f**4 + 298374*f**3 - 6368*f. What is b in p(b) = 0?
0, 1338
Suppose -6*o - 67*x = -62*x + 90, -90 = o + 5*x. What is r in o + 2/5*r**3 + 6*r + 34/5*r**2 - 2/5*r**4 = 0?
-3, -1, 0, 5
Let n(h) be the first derivative of 64/5*h**2 - 16/15*h**3 - 14 - 6*h + 1/30*h**4. Let r(f) be the first derivative of n(f). Factor r(a).
2*(a - 8)**2/5
Let d(g) be the third derivative of 3*g**8/112 - g**7/70 - 11*g**6/20 - 7*g**5/10 + 19*g**4/8 + 15*g**3/2 + 10*g**2 + 7*g + 8. Let d(h) = 0. What is h?
-5/3, -1, 1, 3
Let n(k) be the first derivative of 3*k**4/32 + 35*k**3/2 + 411*k**2/16 - 417*k/4 - 5582. Factor n(f).
3*(f - 1)*(f + 2)*(f + 139)/8
Suppose -234 = -24*s - 2*s. Suppose -2*j = -8*j - s*j. Solve -1/4*u**2 + j - 1/4*u = 0.
-1, 0
Let c(i) be the first derivative of i**3/27 + 187*i**2/9 + 373*i/9 + 2479. Determine k so that c(k) = 0.
-373, -1
Let f be 18 - (15 + -11 + 11). Let z(p) be the second derivative of 6*p + 0*p**2 + 0 + 1/6*p**f + 1/36*p**4. Factor z(o).
o*(o + 3)/3
Let n(i) be the second derivative of -i**6/150 - 4*i**5/25 + 17*i**4/60 - 917*i. Solve n(o) = 0.
-17, 0, 1
Let x(z) be the third derivative of -z**8/168 - 6*z**7/35 + 13*z**6/20 - 2*z**5/3 + 430*z**2 - 2. Factor x(c).
-2*c**2*(c - 1)**2*(c + 20)
Let n be -1 + 1 - (-76)/19. Factor 3*a**2 - 2*a**4 + 4*a**5 - a**n - 3*a**5 + 15*a**3 - 16*a**3.
a**2*(a - 3)*(a - 1)*(a + 1)
Let o(t) = 26*t - 12*t + 6279 - 6652. Let j be o(27). Factor 0 - 7/3*b**j + 0*b**2 + 23/3*b**4 + 0*b - 2*b**3.
-b**3*(b - 3)*(7*b - 2)/3
Let l = 108 - 191. Let x = 134 + l. What is c in 68*c + 116*c + 52*c - x*c + 25*c**2 + 70 = 0?
-7, -2/5
Let 1215 + 1784214*k**2 + 88957036*k**4 - 17007697*k**4 + 4879681*k**5 - 18568854*k**3 + 6615*k - 82674*k = 0. What is k?
-15, 3/47
Let i(u) be the third derivative of -u**5/6 + 35*u**4/24 - 25*u**3/6 + 10*u**2 + 1. Let o(v) = -5*v**2 + 17*v - 12. Let f(n) = 2*i(n) - 5*o(n). Factor f(g).
5*(g - 2)*(g - 1)
Let h(p) be the second derivative of -p**6/10 - 6*p**5/5 + 3*p**4/4 + 31*p**3 - 84*p**2 - 639*p. Find o such that h(o) = 0.
-7, -4, 1, 2
Let a = -5298767/3 + 1766256. Let 18 + a*u**3 + 25/3*u - 28/3*u**2 = 0. What is u?
-1, 2, 27
Suppose -64/13*f + 0 + 22/13*f**3 + 40/13*f**2 + 2/13*f**4 = 0. What is f?
-8, -4, 0, 1
Let -224/5 + 176*p + 36/5*p**3 + 568/5*p**2 = 0. What is p?
-14, -2, 2/9
Let -255*j**2 + 65025*j + 1/3*j**3 - 5527125 = 0. What is j?
255
Let b be 0 - ((-21)/3 + 5). Factor 3*x**2 + 5*x**2 + 35*x**3 + 30 - 16*x**2 - 17*x**2 - 35*x - 5*x**4 + 0*x**b.
-5*(x - 6)*(x - 1)**2*(x + 1)
Suppose -j - 8*z + 3*z = 0, 2*j = -5*z. Let v(i) be the third derivative of 0*i**4 + 0*i + j*i**3 + 0 - 1/120*i**5 - 4*i**2. Solve v(u) = 0.
0
Let p be ((-10)/(-6) + (-5)/3)/2. Suppose 35*q + 79 - 219 = p. Determine y so that 0 + 4*y**q - 6/7*y + 32/7*y**3 + 6/7*y**5 + 4/7*y**2 = 0.
-3, -1, 0, 1/3
Let m be (-4)/(-10) - (176/40)/11. Let k be (5 - (-20)/(-4))/(m + 1). Factor -1/6*i**2 - 1/3*i + k.
-i*(i + 2)/6
Let v(t) = -10*t**2 - 52*t - 21. Let a(u) = -3*u**2 - 16*u - 7. Let q be ((-8)/(280/(-49)))/((-2)/10). Let b(y) = q*a(y) + 2*v(y). Factor b(r).
(r + 1)*(r + 7)
Let m(v) = -v**2 + 35*v - 150. Let a be m(5). Let l(t) be the second derivative of 5/4*t**4 - 1/4*t**5 + 0*t**3 - 10*t**2 + a - 3*t. Factor l(j).
-5*(j - 2)**2*(j + 1)
Let f(l) be the second derivative of -5*l - 1/480*l**6 - l**2 - 25/32*l**4 + 0 + 125/24*l**3 + 1/16*l**5. Let b(i) be the first derivative of f(i). Factor b(v).
-(v - 5)**3/4
Let q(z) be the second derivative of z**4/3 - 2*z**3 - 1956*z. Factor q(a).
4*a*(a - 3)
Suppose -750 = 331*u - 316*u. Let a be (3 - (-27)/(-15)) + (-20)/u. Factor -4/5*s**3 - 4/3*s - 2/5 - 2/15*s**4 - a*s**2.
-2*(s + 1)**3*(s + 3)/15
Let v be 2/8*(-13 - 74/(-6))*-8. Let n(r) be the first derivative of v*r**3 - 3/2*r**4 + 0*r**5 + 1/3*r**6 + 0*r**2 - 36 + 0*r. Factor n(l).
2*l**2*(l - 1)**2*(l + 2)
Let b = 41006 - 41003. Suppose -2*z + 11 - 1 = 0, 16 = -3*u + 5*z. Determine v so that -7*v**b - 2*v**2 + 3*v**u - v**2 - 16 + 15*v**2 = 0.
-1, 2
Let f be (-1846)/9360 - (-8)/36. Let n(v) be the third derivative of 0 + 17*v**2 + f*v**5 - 3/2*v**3 + 0*v + 1/16*v**4. Determine a so that n(a) = 0.
-3, 2
Let a(o) be the first derivative of 17 - 1/18*o**3 + 5/6*o - 1/3*o**2. Determine c so that a(c) = 0.
-5, 1
Let b = 40 + -24. Suppose 203*f = 199*f + 12. Let j(v) = 5*v**3 + 7*v**2 - 9*v. Let l(a) = -26*a**3 - 36*a**2 + 46*a. Let o(h) = b*j(h) + f*l(h). Factor o(c).
2*c*(c - 1)*(c + 3)
Let u = 7 - -7. Suppose -3*s = -u - 55. Determine h so that -19 + 4*h + s + h + h**2 = 0.
-4, -1
Let l be 8 + -11 - 111*26/(-825). Let b = 1/550 + l. Solve -b*x**2 + 1/2 + 0*x = 0.
-1, 1
Let v(h) be the second derivative of -h**6/120 - 21*h**5/40 - 449*h**4/48 - 17*h**3 - 8688*h. Let v(x) = 0. Calculate x.
-24, -17, -1, 0
Find w, given that -286*w**2 - 3082*w**3 - 11*w**4 - 12*w**4 + 148*w + 2934*w**3 + 21*w**4 + 288 = 0.
-72, -2, -1, 1
Let x = 989997/2 + -494998. Factor 0 + 29/2*w**4 - x*w**5 - 384*w**2 + 0*w - 80*w**3.
-w**2*(w - 16)**2*(w + 3)/2
Factor 64*d**2 + 19*d**4 + 8*d**3 + 3*d**4 - 144*d + 16*d - 26*d**4.
-4*d*(d - 4)*(d - 2)*(d + 4)
Let l be (4/6*-2)/(16/(-8376)). Let x = -696 + l. Factor 3/7*n - 1/7*n**4 - 3/7*n**3 + 0 + 1/7*n**x.
-n*(n - 1)*(n + 1)*(n + 3)/7
Let c = -46 + 46. Let l be 8/(-36) + 957/297. Factor 1/2*d**5 - 1/2*d + 0 + d**2 + c*d**l - d**4.
d*(d - 1)**3*(d + 1)/2
Let x(g) = 16*g**2 + 4*g - 106. Let h(r) = r**2 - 2*r - 2. Let w(v) = -68*h(v) + 4*x(v). Factor w(n).
-4*(n - 36)*(n - 2)
Let x be (45 - 18) + -13 - (0 + 3). Let p(u) be the second derivative of 0 + 4/11*u**3 + 1/66*u**4 - x*u + 36/11*u**2. Determine n, given that p(n) = 0.
-6
Suppose 0 = -21*q + 14*q + 28. Factor -140*d + 43*d**2 - 8635 + 8735 - q*d**3 + d**2.
-4*(d - 5)**2*(d - 1)
Determine j, given that 52/5*j**2 + 12/5*j**4 - 14/5*j - 46/5*j**3 - 4/5 = 0.
-1/6, 1, 2
Let k(n) be the second derivative of -n**6/6 + 45*n**5/2 + 230*n**4/3 + 61*n + 36. Factor k(z).
-5*z**2*(z - 92)*(z + 2)
Let s be (-4 - (-16)/3) + 1/(-3). Let k(n) = -3*n**2 - 23*n - 71. Let v(t) = t**2 - t - 1. Let u(g) = s*v(g) + k(g). Solve u(m) = 0.
-6
Let x(t) be the third derivative of t**7/420 - 17*t**6/240 - 71*t**5/480 - 3*t**4/32 + 1274*t**2. Factor x(g).
g*(g - 18)*(2*g + 1)**2/8
Let m be (4*3/6)/((-19)/(-38)). Suppose -6*x = -m*z - 5*x + 17, 1 = -x. Factor -4/19*v**2 - 2/19*v**3 + 0 + 0*v + 2/19*v**z.
2*v**2*(v - 2)*(v + 1)/19
Solve 1012*m + 3*m**2 + 558*m - 67*m - 2069 + 563 = 0.
-502, 1
Factor -23*u**2 - 59*u - 98 - 21*u + 21*u**2 - 652.
-2*(u + 15)*(u + 25)
Let w(g) = -358*g - 131*g + 11*g**2 - 73*g + 6552 + 8573. Let n(y) = -120*y**2 + 6180*y - 166375. Let s(b) = 6*n(b) + 65*w(b). Let s(f) = 0. Calculate f.
55
Let a(m) be the third derivative of m**9/30240 - m**8/10080 - m**7/210 + m**5/30 - 19*m**3 + 2*m**2 + 3. Let l(t) be the third derivative of a(t). Factor l(h).
2*h*(h - 4)*(h + 3)
Suppose 36*q - 3/5*q**2 - 1617/5 = 0. What is q?
11, 49
Let m(d) be the third derivative of -5*d**5/12 - 415*d**4/24 + 85*d**3/3 + 4382*d**2. Factor