. Factor -2/7*b**2 + y - 16/7*b.
-2*(b - 1)*(b + 9)/7
Let h(o) be the first derivative of 0*o + 2/5*o**3 + 1/5*o**4 + 8 + 1/30*o**6 - 1/2*o**2 - 6/25*o**5. Solve h(s) = 0 for s.
-1, 0, 1, 5
Let o(l) = 37*l**2 - 13*l + 6. Let r(c) = -6*c**2 + c + 1. Let b(k) = o(k) + 6*r(k). Factor b(v).
(v - 4)*(v - 3)
Let d(y) = -y**2 - 889*y + 8100. Let b be d(9). Factor b + 3*t + 1/8*t**2.
(t + 12)**2/8
Let m(y) = 6*y**4 + 198*y**3 + 591*y**2 + 15*y - 798. Let n(k) = 9*k**4 + 393*k**3 + 1183*k**2 + 29*k - 1594. Let p(j) = -5*m(j) + 3*n(j). Factor p(l).
-3*(l - 66)*(l - 1)*(l + 2)**2
Suppose 8*b = 12*b - 80. Let r be -3*(592/30)/(b/(-50)). Factor 9*v**3 - 40 + 88*v**3 + r*v**3 - 350*v**2 - 260*v.
5*(v - 2)*(7*v + 2)**2
Let r(l) = -l**4 + 3*l**3 - 2*l**2 + l - 1. Let w(i) = -117*i**4 - 261*i**3 - 62*i**2 + 101*i - 21. Let m(h) = -5*r(h) + w(h). Suppose m(s) = 0. Calculate s.
-2, -1, 1/4, 2/7
Suppose -7*m = -4*m - 6. Let q(t) be the first derivative of -t**3 + m + 0*t**3 - 6 - 3*t + 3*t**2 + 27. Suppose q(v) = 0. Calculate v.
1
Let u be (162/(-12))/(84/16 - 6). Factor -186*j**2 + 9 + u*j - 186*j**2 - 6*j + 375*j**2.
3*(j + 1)*(j + 3)
Let m(r) be the third derivative of 1/30*r**6 + 169*r**2 + 0*r + 1295/6*r**4 + 71/15*r**5 + 0 + 2450/3*r**3. Factor m(y).
4*(y + 1)*(y + 35)**2
Suppose 0 = 31*z + 84 - 456. Suppose 2*p - 2 = 4. Factor -4*x**2 + 64*x - 8*x**3 + z*x**3 - x**p - 7*x**3 - 80.
-4*(x - 2)**2*(x + 5)
Let m(a) be the third derivative of a**5/390 + 53*a**4/156 + 120*a**3/13 + 1497*a**2. Let m(d) = 0. What is d?
-45, -8
Let x be 79900/2850 + -28 + (-2148)/(-513). Let 16/9 - x*p**2 - 2*p**3 + 22/9*p**4 + 2/3*p**5 + 4/3*p = 0. What is p?
-4, -1, -2/3, 1
Suppose w - i = -65, 263 = -4*w + 9*i - 6*i. Let m be (-51)/w - (15/4)/(-3). Factor 0*u - 2*u**m - 2/3*u**3 + 0.
-2*u**2*(u + 3)/3
Let h = -24 - -64. Let j be (h/70)/((-2)/(-28)). Determine y, given that -y**5 - 662*y**3 + 13*y**2 + 640*y**3 - 9*y + 11*y**2 + j*y**4 = 0.
0, 1, 3
Let s(j) be the first derivative of 4*j**5/5 - 641*j**4 - 2576*j**3 + 770. What is v in s(v) = 0?
-3, 0, 644
Let s(p) be the third derivative of -p**5/90 - p**4/18 + 16*p**3/3 - 1113*p**2. Find d such that s(d) = 0.
-8, 6
Let a(q) be the second derivative of q**6/15 + 1181*q**5/10 + 174640*q**4/3 + 348100*q**3/3 + 8721*q. Find t, given that a(t) = 0.
-590, -1, 0
Factor 675/2*p**3 - 1/6*p**5 + 0 + 1026*p - 2043/2*p**2 - 73/2*p**4.
-p*(p - 3)**3*(p + 228)/6
Suppose -g + 722 = 3*i, 2*i - 206 - 286 = 2*g. Let r = i - 238. Factor -2/3*l**3 + 0*l + 0 + 1/3*l**r + 1/3*l**2.
l**2*(l - 1)**2/3
Determine g, given that 160*g**3 - 44*g**5 - 6*g - 40*g**5 - 109*g**2 - 92*g**4 + 6*g + 125*g**2 = 0.
-2, -2/21, 0, 1
Let v(s) be the third derivative of -s**8/1512 - 4*s**7/189 - 109*s**6/540 - 127*s**5/135 - 67*s**4/27 - 104*s**3/27 + 5816*s**2. Suppose v(j) = 0. Calculate j.
-13, -2, -1
Let f(j) be the second derivative of 0 + 1/28*j**4 + 0*j**2 + 71*j - 4/7*j**3. Solve f(w) = 0 for w.
0, 8
Let q(x) = -372*x**2 + 303*x + 279. Let n(r) = 35*r**2 + 1. Let c(b) = -22*n(b) - 2*q(b). Determine f so that c(f) = 0.
-290/13, -1
Let a(n) be the first derivative of -19*n**2/2 - 128*n + 478. Let m be a(-7). Suppose 4/5*o**4 - 8/5*o**2 + 4/5 + 2/5*o**m - 4/5*o**3 + 2/5*o = 0. What is o?
-2, -1, 1
Let g be -7 + 205*(-4)/(-60). Let f = -8762 + 8765. Solve -g - f*d**2 - 1/3*d**3 - 8*d = 0 for d.
-5, -2
Let q(k) be the third derivative of -5/8*k**4 - 12*k**2 + 0 + 1/120*k**6 + 0*k + 1/2*k**3 + 1/10*k**5. Let b(x) be the first derivative of q(x). Factor b(r).
3*(r - 1)*(r + 5)
Suppose -1 = -7*p + 20. Factor -p*f**5 - 16*f**4 - f**5 - 36*f + 36*f - 12*f**3.
-4*f**3*(f + 1)*(f + 3)
Let b(w) = 1094*w**2 - 360*w + 20. Let n(q) = q**2 - 6*q - 1. Let v(g) = 2*b(g) - 10*n(g). Factor v(f).
2*(33*f - 5)**2
Factor 125 - 1162*h + 5*h**2 - h**2 + 163 + 1314*h.
4*(h + 2)*(h + 36)
Let l(q) be the second derivative of -289*q**5/30 + 2431*q**4/18 + 1505*q**3/9 + 75*q**2 - 373*q - 11. Factor l(t).
-2*(t - 9)*(17*t + 5)**2/3
Let d(y) = 15*y - 778. Let t be d(52). Let n(j) be the second derivative of 10*j**t + 1/15*j**4 + 0 + 4/3*j**3 - 9*j. Factor n(m).
4*(m + 5)**2/5
Let p(x) be the second derivative of x**6/300 + 2*x**5/75 - 11*x**4/60 + 2*x**3/5 + 51*x**2 + 4*x + 3. Let f(d) be the first derivative of p(d). Factor f(w).
2*(w - 1)**2*(w + 6)/5
Let i be (2/(-5))/(12/(-60)). Suppose d + i = 6, -24 = -3*x - 3*d. Factor 0*c**3 + 4/7*c**2 + 0*c - 2/7 - 2/7*c**x.
-2*(c - 1)**2*(c + 1)**2/7
Factor -1/2*o**4 + 52*o**3 + 160*o + 159*o**2 + 107/2.
-(o - 107)*(o + 1)**3/2
Let o(s) be the second derivative of s**4/36 + 5*s**3/18 - 4*s**2 - 217*s. Factor o(b).
(b - 3)*(b + 8)/3
Let x(i) = i**2 - 18*i + 68. Let p be x(10). Let z(d) = 2*d + 28. Let s be z(p). Find o, given that 1/3*o**5 + o + 0 + 2/3*o**s - 4/3*o**3 - 2/3*o**2 = 0.
-3, -1, 0, 1
Let r = -3/103 + 439/927. Let m = 33008/45 - 3667/5. Determine c, given that r*c - m*c**2 + 5/9 = 0.
-1, 5
Let i(d) = -d**4 + 3*d**3 + 2*d**2 + 2. Let r = 363 + -359. Let c(x) = -4*x**4 + 9*x**3 + 6*x**2 + 7. Let s(p) = r*c(p) - 14*i(p). Factor s(m).
-2*m**2*(m + 1)*(m + 2)
Let y = -5376/17 - -189944/85. Let t = y + -1916. Factor -4/5 + 12/5*w + 4/5*w**3 - t*w**2.
4*(w - 1)**3/5
Factor -76/5*g + 4/5*g**5 + 8/5*g**2 + 72/5*g**3 - 44/5*g**4 + 36/5.
4*(g - 9)*(g - 1)**3*(g + 1)/5
Suppose 173*n - 625 = -35*n + 415. Let y(m) be the first derivative of -8/5*m - 2/25*m**n - 26/15*m**3 - 12/5*m**2 - 3/5*m**4 + 34. Factor y(d).
-2*(d + 1)**2*(d + 2)**2/5
Let z = 381211/34 - 11213. Let w = z - -35/34. Factor 0*a - w*a**2 + 0.
-2*a**2/17
Let k(y) be the third derivative of y**5/270 - 47*y**4/27 - 380*y**3/27 - 6*y**2 - 232*y. Solve k(a) = 0 for a.
-2, 190
Let k = -32107/6 + 16055/3. Determine u, given that -3/2*u - 15/4*u**2 + 7/4 - k*u**3 = 0.
-7, -1, 1/2
Let d be (-143)/858 + ((-2)/5 - 137/(-30)). Let r(j) be the first derivative of -d*j - 4/3*j**3 - 14 - 4*j**2. Factor r(v).
-4*(v + 1)**2
Let 0 + 386/9*g**2 + 1568/9*g**3 + 128/9*g**4 + 8/3*g = 0. Calculate g.
-12, -1/8, 0
Let r(b) = -b**3 - b**2 - b - 2. Let f = 13 - 15. Let z(i) = 9*i**3 + 3*i**2 + i + 18. Let y(n) = f*z(n) - 22*r(n). Find g, given that y(g) = 0.
-2, -1
Let k(z) = z**3 - 9*z**2 - 29*z + 193. Let y be k(10). Let s be -11 + (-4 - -14) + y. Factor -4/7*b**s + 2/7 + 0*b**3 + 2/7*b**4 + 0*b.
2*(b - 1)**2*(b + 1)**2/7
Let p(h) = 14*h**2 - 580*h - 3582. Let f(k) = 24*k**2 - 1162*k - 7166. Let x(t) = -6*f(t) + 10*p(t). Factor x(d).
-4*(d - 299)*(d + 6)
Let g = -429 + 437. Suppose -14*d + 50 = g. Determine p, given that -12*p**2 - 16/3 - 44/3*p - 4/3*p**d + 4/3*p**4 = 0.
-1, 4
Let u = 748702 + -748700. Factor -1/7*n**u + 22/7*n - 121/7.
-(n - 11)**2/7
Factor -2/7*w**2 - 92/7*w - 78.
-2*(w + 7)*(w + 39)/7
Let l(p) be the second derivative of -1/24*p**6 + 5/2*p**2 + 8*p + 0*p**4 + 0 - 1/12*p**5 + 0*p**3. Let j(x) be the first derivative of l(x). Factor j(w).
-5*w**2*(w + 1)
Suppose 7*x + 133 = 168. Let i(c) be the third derivative of -1/78*c**4 + 11*c**2 - 1/780*c**6 + 0*c**3 + 0 + 0*c - 1/130*c**x. Factor i(j).
-2*j*(j + 1)*(j + 2)/13
Let i(j) = j**3 - 2*j**2 + 33*j - 62. Let p be i(2). Factor -d - 1/3*d**p - 4/3 + d**3 + 5/3*d**2.
-(d - 4)*(d - 1)*(d + 1)**2/3
Let h be (4/(-10))/((-2)/10). Let f be h - (4/10)/((-21)/270). Factor -f*g**2 - 72/7 - 120/7*g.
-2*(5*g + 6)**2/7
Let a = -3701/3540 - -188/177. Let x(h) be the third derivative of -1/15*h**3 - a*h**4 + 1/300*h**6 + 1/150*h**5 + 0 + 0*h - 33*h**2. Factor x(j).
2*(j - 1)*(j + 1)**2/5
Let o = 19 - -1. Factor -2*x**4 + 14 + 2*x**3 - 2*x - 14 - 18*x**2 + o*x**2.
-2*x*(x - 1)**2*(x + 1)
Let d(o) be the first derivative of 50 - 21/4*o**4 - 30*o**2 + 3/5*o**5 + 18*o**3 + 24*o. Factor d(k).
3*(k - 2)**3*(k - 1)
Let k(v) be the first derivative of v**4/4 - 10*v**3/3 + 6*v - 13. Let u be k(10). Suppose -15*f**3 + u*f**3 + 5*f**3 + 2*f**3 + 6*f**2 = 0. What is f?
0, 3
Suppose 982*r**3 - 106*r**4 + 90*r**2 - 160*r - 907*r**3 + 101*r**4 = 0. What is r?
-2, 0, 1, 16
Let l be (-16)/(-12)*2*(-2 - -8). Solve -t**2 + 5*t**2 + 4*t**2 + l + 9*t**2 + 16*t - 13*t**2 = 0.
-2
Let r(k) = -k**2 + 6*k - 3. Let m be 16/(-12) + 8/(-12)*1. Let l(z) = z**2 + z - 1. Let s = -2 - -4. Let u(c) = m*l(c) + s*r(c). Solve u(a) = 0 for a.
1/2, 2
Let l(p) = -p**2 + 22*p - 21. Let a be l