 of -n**4/12 + 2*n**3 + 24*n**2 + 185*n + 2. Let o be t(-3). Factor -1/10*x**2 + 0 + 1/10*x**4 + 1/10*x**o - 1/10*x.
x*(x - 1)*(x + 1)**2/10
Let o(p) be the first derivative of p**5/5 - 51*p**4/2 + 1080*p**3 - 11664*p**2 - 279936*p - 4400. Factor o(q).
(q - 36)**3*(q + 6)
Let g(q) be the third derivative of q**7/105 - 7*q**6/15 + 7*q**5/10 + 27*q**4/2 - 37*q**2 - 46. Factor g(f).
2*f*(f - 27)*(f - 3)*(f + 2)
Let 80/9*b - 4/9*b**2 - 400/9 = 0. What is b?
10
Let u(p) be the first derivative of p**4/20 + 53*p**3/15 - 481*p**2/10 + 427*p/5 - 4887. Factor u(v).
(v - 7)*(v - 1)*(v + 61)/5
Let f = -78 - -74. Let n(l) = l**2. Let d(r) = -6*r**2 - 8*r - 8. Let u(h) = f*n(h) - d(h). Factor u(y).
2*(y + 2)**2
Factor 31832557*s**3 - 223*s + 10*s**4 + 2*s**5 - 31832569*s**3 - 152*s**2 - 192 - 81*s.
2*(s - 4)*(s + 2)**3*(s + 3)
Suppose 0 = 3*h - 8*h + 325. Determine n, given that 83 - 15*n**4 + 70*n**3 - h*n**2 - 175 - 26*n - 4*n + 92 = 0.
-1/3, 0, 2, 3
Let s = 63361/24136 + -1/6034. Let 343/8 + 147/8*o + 1/8*o**3 + s*o**2 = 0. Calculate o.
-7
Let -36/7 - 12/7*h + 15/7*h**2 = 0. What is h?
-6/5, 2
Let a(s) be the first derivative of -2/33*s**3 - 3 - 1/66*s**4 - s + 3/11*s**2. Let g(m) be the first derivative of a(m). Let g(x) = 0. Calculate x.
-3, 1
Let o(s) be the first derivative of -3*s**4/8 + 61*s**3 - 2496*s**2 - 36864*s + 430. Find w, given that o(w) = 0.
-6, 64
Let a(h) be the third derivative of -1/1365*h**7 + 15 + 2*h**2 + 7/780*h**6 - 1/26*h**5 + 3/52*h**4 + 0*h**3 + 0*h. Factor a(s).
-2*s*(s - 3)**2*(s - 1)/13
Factor 176447701250/7 + 3564300/7*d**2 + 1295029000/7*d + 4360/7*d**3 + 2/7*d**4.
2*(d + 545)**4/7
What is s in -6345*s**2 + 400*s**3 - 2*s**5 - 405*s + 7*s**5 + 5935*s**2 + 410*s**4 = 0?
-81, -1, 0, 1
Let k(n) = 8*n**2 - 672*n + 666. Let l be k(83). Factor 24/5*c - 18/5*c**l - 9/5 + 3/5*c**4 + 0*c**3.
3*(c - 1)**3*(c + 3)/5
Factor 2/11*w**2 - 62/11*w - 204/11.
2*(w - 34)*(w + 3)/11
Let f be (-9)/30*5805/86*-2. Factor -f - 1/6*j**5 - 45*j**2 - 5/2*j**4 - 135/2*j - 15*j**3.
-(j + 3)**5/6
Let p = 5960/3 + -1986. Suppose 3*c = 3*y - 9, -c + 7 = y - 0. Factor -p*f**c + 0*f**3 + 0 - 4/9*f + 2/9*f**4.
2*f*(f - 2)*(f + 1)**2/9
Find d such that -1/5*d**2 + 52/5 + 51/5*d = 0.
-1, 52
Let k(w) be the second derivative of 3 + 1/28*w**4 + 0*w**2 + 4*w - 1/14*w**3 + 3/70*w**5. Factor k(i).
3*i*(i + 1)*(2*i - 1)/7
Let p be ((-1008)/(-77))/6 - 12/66. Suppose 5*c = p*z - 1, 4*c - 16 = -5*z + 3*c. Let -1/3*a**z - 1/3*a + 0 + 2/3*a**5 + a**4 - a**2 = 0. What is a?
-1, -1/2, 0, 1
Let f(z) = -14*z + 73. Let j be f(5). Let r be (2 + (-64)/24)/((-1)/j). Factor 0 - 1/3*i + 1/6*i**4 - 1/2*i**r + 0*i**3.
i*(i - 2)*(i + 1)**2/6
Let s(j) = j**3 - 7*j**2 + 4*j - 4. Let i be s(5). Let b = i + 34. Factor -y - 1 + b*y + 3*y**4 + 7*y - 2 - 6*y**3.
3*(y - 1)**3*(y + 1)
Let j = 30129 + -30129. Let n(w) be the third derivative of j*w**3 - 48*w**2 + 0*w**6 - 2/105*w**7 + 0 + w**4 + 7/15*w**5 + 0*w. Let n(f) = 0. Calculate f.
-2, -1, 0, 3
Let n(a) be the first derivative of 3*a**4/16 - 20*a**3 + 222*a**2 - 864*a - 1369. Find m such that n(m) = 0.
4, 72
Let q(r) = r**2 - 96*r - 718. Let s be q(-7). Factor 0 - 8/15*u**2 - 2/15*u**s - 8/15*u.
-2*u*(u + 2)**2/15
Let r(o) = -80*o**2 + 5400*o - 54055. Let d(x) = -8*x**2 + 200*x - 214 - 1788 + 14*x**2 - 9*x**2. Let t(y) = 55*d(y) - 2*r(y). Let t(p) = 0. Calculate p.
20
Let b be ((-2)/4)/(7 - 426/60). Let y(c) be the third derivative of -1/60*c**6 + 13*c**2 + 0*c + 3/10*c**b - 2*c**4 + 0 + 16/3*c**3. Factor y(m).
-2*(m - 4)**2*(m - 1)
Let y be 1 - -1 - (-14)/(-8) - (1018589/(-3740) - 133). Suppose 8788/5 - 4/5*o**3 + 156/5*o**2 - y*o = 0. Calculate o.
13
Solve 5*g**2 + 9259324 - 14230*g + 3377572 - 2512251 = 0.
1423
Let z(v) be the second derivative of -1/12*v**4 + 1/90*v**6 - 1/15*v**5 + v**3 + 0 + 0*v**2 + 139*v. Solve z(x) = 0 for x.
-2, 0, 3
Suppose -118*h + 15 = -117*h. Suppose h*z - 42 = -6*z. Find u, given that -13/2*u - 2 - 7/4*u**4 + 13/2*u**3 + 15/4*u**z = 0.
-1, -2/7, 1, 4
Let t(w) = w**4 - w**3 + 3*w + 1. Let c(q) = 7*q**4 - 9*q**3 - 2*q**2 + 30*q - 2. Let y(p) = 5*c(p) - 30*t(p). Suppose y(s) = 0. What is s?
-2, 1, 2
Suppose 74*c = 72*c - 2*p - 2, -c - 10 = 4*p. Let w(k) be the second derivative of -1/10*k**5 + 0 - 3/2*k**4 - 9*k**3 + 7*k - 27*k**c. Factor w(v).
-2*(v + 3)**3
Let l(d) be the second derivative of -d**6/30 + 7*d**5/5 + 11*d**4/4 - 56*d**3/3 - 58*d**2 + 140*d - 7. Determine b, given that l(b) = 0.
-2, -1, 2, 29
Suppose -5*o - 31 + 6 = 0. Let u be o + 3/6 + 5. Suppose 0 + 0*z + z**3 - 3/2*z**4 + u*z**5 + 0*z**2 = 0. What is z?
0, 1, 2
Let f(w) be the first derivative of -3*w**4 + 32*w**3/3 + 66*w**2 + 40*w - 156. Suppose f(b) = 0. What is b?
-2, -1/3, 5
Let b(p) be the second derivative of p**7/168 + p**6/60 - p**5/8 - 5*p**4/12 + 3*p**3/8 + 9*p**2/4 - 2*p - 987. Find k, given that b(k) = 0.
-3, -2, -1, 1, 3
Let c(p) be the second derivative of 29*p - 4/33*p**3 + 4/11*p**2 + 0 + 1/66*p**4. Let c(s) = 0. What is s?
2
Let n(u) be the second derivative of 0 + 11/5*u**5 - 64*u**2 + 8*u**4 + 186*u - 8/3*u**3 + 2/15*u**6. Factor n(w).
4*(w - 1)*(w + 2)**2*(w + 8)
Let a = -14541810 + 55273418710/3801. Let q = -2/543 - a. Determine g so that 4/7*g**4 + 0*g + 0 + 1/7*g**5 + 5/7*g**3 + q*g**2 = 0.
-2, -1, 0
Let l(j) be the second derivative of -j**4/24 + 3*j**3/2 + 10*j**2 + 2326*j - 2. Solve l(g) = 0.
-2, 20
Let x(r) be the first derivative of r**6/1440 - 7*r**5/240 - r**4/3 - 2*r**3 - 2*r - 97. Let n(i) be the third derivative of x(i). Factor n(s).
(s - 16)*(s + 2)/4
Let m = 1326134 + -3978376/3. Solve -2/3*d**2 + m*d - 8 = 0 for d.
1, 12
Let -405 - 4047/5*p - 2019/5*p**2 + 3/5*p**3 = 0. Calculate p.
-1, 675
Let p be 5/(-5) - -2 - (-1)/(-1). Suppose p = -0*o - 3*o + 6. Determine b, given that 0*b + 6*b**2 - b + 6*b**4 - 2*b + o*b - 11*b**3 = 0.
0, 1/3, 1/2, 1
Let j(c) be the first derivative of -9 - 23*c + 9/2*c**2 - c**3 - 1/4*c**4. Let p(f) be the first derivative of j(f). Factor p(i).
-3*(i - 1)*(i + 3)
Let x be (6/(-18))/((-2)/18). Let d be (((-448)/32)/(-14))/((-9)/(-30)). Factor -d*m**2 - 5/2*m - 5/6*m**x + 0.
-5*m*(m + 1)*(m + 3)/6
Let l(q) be the second derivative of -q**6/45 - 2*q**5/15 + 13*q**4/6 - 6*q**3 - 479*q. What is c in l(c) = 0?
-9, 0, 2, 3
Let z(p) be the second derivative of -p**6/330 + 86*p**5/55 + 579*p**4/44 + 1394*p**3/33 + 698*p**2/11 - 7431*p. Solve z(a) = 0.
-2, -1, 349
Let m(i) be the first derivative of -14*i**5/25 - i**4/5 + 14*i**3/15 + 2*i**2/5 + 321. Solve m(j) = 0 for j.
-1, -2/7, 0, 1
Suppose u + 2*j + 10 = 0, -3*u = -5*u - 3*j - 15. Let t(f) be the first derivative of 5/4*f**4 + f**5 + u*f**2 - 9 + 0*f + 0*f**3. Factor t(s).
5*s**3*(s + 1)
Let n = 337214/5 - 67442. Solve 4/5*y**2 - n*y**3 - 4/5*y**4 + 0 + 4/5*y = 0.
-1, 0, 1
Let k(d) be the second derivative of d**6/1200 + 7*d**5/300 + 13*d**4/240 + 257*d**2/2 - 210*d. Let x(b) be the first derivative of k(b). Factor x(s).
s*(s + 1)*(s + 13)/10
Let x(p) = 224*p**2 + 188*p - 292. Let l(s) = 2*s + 34. Let t(d) = -8*l(d) - x(d). Factor t(a).
-4*(a + 1)*(56*a - 5)
Let n be (1/(-2))/((-2)/(-120)). Let s = 33 + n. Factor -163 + 8*b + 4*b**4 - 8*b**s + 0*b**4 + 159.
4*(b - 1)**3*(b + 1)
Let a(q) be the third derivative of q**6/160 - 127*q**5/80 + 527*q**4/4 - 2883*q**3/2 + 49*q**2 - q. What is l in a(l) = 0?
3, 62
Let z be (14/7)/(3 + 290/(-98)). Factor 13230*l**2 + z - 9 - 1260*l - 30796*l**3 + 18642*l**3 - 34151*l**3.
-5*(21*l - 2)**3
Let c(q) be the third derivative of q**5/30 - 31*q**4/12 + 10*q**3 + 1121*q**2. Let c(y) = 0. Calculate y.
1, 30
Let l(j) be the second derivative of -j**4/12 + 65*j**3/2 + 98*j**2 + 1695*j. Let l(i) = 0. What is i?
-1, 196
Let u(q) be the first derivative of -1/25*q**5 + 2/5*q + 1/5*q**3 + 1/20*q**4 - 15 - 1/2*q**2. Factor u(z).
-(z - 1)**3*(z + 2)/5
Let f(c) = -c**2 - c + 1. Let o(n) = 2*n**3 + 6*n**2 + 2*n - 6. Let i = -15 - -14. Let u(s) = i*o(s) - 4*f(s). Factor u(v).
-2*(v - 1)*(v + 1)**2
Let v(d) = -3*d**3 - 21*d**2 - 2300*d - 2280. Let q be v(-1). Let s = 2032/5 + -404. Suppose 9/5 + 33/5*j - s*j**q = 0. Calculate j.
-1/4, 3
Let t(u) be the second derivative of u**6/630 - u**5/30 - 3*u**4/7 + 47*u**3/2 + 213*u. Let k(x) be the second derivative of t(x). Factor k(f).
4*(f - 9)*(f + 2)/7
Let m(c