= r(z) - t(z). Solve f(j) = 0 for j.
-1, -2/3, 1, 3
Let v(o) be the third derivative of -o**6/660 - 2*o**5/5 - 44*o**4 - 7744*o**3/3 - o**2 + 92*o. Let v(g) = 0. Calculate g.
-44
Let p be 15135/(-45) - (-1)/((-3)/15). Let b = -340 - p. What is u in 0 + 2/3*u + 2/3*u**3 + b*u**2 = 0?
-1, 0
Let x be (-87)/174*(-1 + -41). Suppose 4*z + 3*d - 23 = 0, -4*d - 1 = -x. Suppose 2/3*w**z - 4/3*w + 2/3 = 0. Calculate w.
1
Let l(x) be the second derivative of 1/5*x**5 + 4/3*x**4 + 3 - 8/3*x**3 + 25*x + 0*x**2 - 2/15*x**6. Factor l(j).
-4*j*(j - 2)*(j - 1)*(j + 2)
Let s be ((-1)/(-1))/((-3)/(-537)). Let t = s - 893/5. Find u, given that -1/5 + 3/5*u**2 - t*u = 0.
-1/3, 1
Find q such that 16*q**5 + 45*q**4 - 9*q**5 - 29*q**4 - 31*q**4 - 4*q**5 + 18*q**3 = 0.
0, 2, 3
Let v = 335/49 - 28453/98. Let t = -283 - v. Factor -1/6*n**2 - t*n**3 + 0 + 1/3*n.
-n*(n + 1)*(3*n - 2)/6
Solve 104*b**2 - 42*b**4 + 5*b**2 - 3*b**5 + 23*b**2 - 30*b**3 - 26 + 104 + 201*b = 0 for b.
-13, -1, 2
Suppose -4*l - 2*k + 17 = k, -5*l + 25 = 5*k. Let 192*d**3 + d**5 - 2*d**l - 4*d**4 + 5*d**4 + d**2 + 8*d - 197*d**3 - 4 = 0. Calculate d.
-2, 1
Let d = 894860 - 4474298/5. Factor 32/5 + 16/5*c + d*c**2.
2*(c + 4)**2/5
Let k(x) be the first derivative of -1/10*x**5 + x**2 - 7 + 0*x + 5/8*x**4 - 3/2*x**3. Let f(t) be the second derivative of k(t). Factor f(z).
-3*(z - 1)*(2*z - 3)
Factor 4*w**4 + 83*w**3 + 531 + 134 - 130*w**2 + 645*w - 89 + 638*w**2 + 459*w.
(w + 4)**2*(w + 12)*(4*w + 3)
Let y = 2269 - 2269. Let f(u) be the first derivative of -1/7*u**2 - 11 + 2/35*u**5 - 3/14*u**4 + y*u + 2/7*u**3. Find r such that f(r) = 0.
0, 1
Let d(o) be the third derivative of -41*o**2 - 37/1260*o**7 + 2/45*o**5 + 13/180*o**6 + 1/288*o**8 - 4/9*o**4 + 0 + 0*o + 4/9*o**3. Factor d(m).
(m - 2)**3*(m + 1)*(7*m - 2)/6
Let r be ((50540/(-1575))/(-19))/((-2)/(-10)). Find s such that 0 + 32/9*s**2 + 28/9*s**4 + 16/9*s - r*s**3 = 0.
-2/7, 0, 1, 2
Let h(u) = -360*u. Let b(a) = a**2 - 102*a. Let t(i) = 4*b(i) + 4*h(i). Determine m, given that t(m) = 0.
0, 462
Let p(k) be the second derivative of k**5/20 - 11*k**4/12 - 260*k**3/3 - 1550*k**2 - 56*k + 17. Determine v, given that p(v) = 0.
-10, 31
Suppose t = -4*i - i + 31, 4*t + 3*i - 39 = 0. Factor -6*a + t*a + 351*a**3 - 353*a**3 - 2*a**4.
-2*a**3*(a + 1)
Suppose -4*l - 4*s - 2 = 42, -2*l = 3*s + 35. Factor -l*f**2 + 12/11*f**3 + 8/11*f + 2/11.
2*(f - 1)**2*(6*f + 1)/11
Let g(d) = -28*d + 61. Let f be g(2). Let t(o) be the first derivative of -2/21*o**6 - 9/14*o**2 - 4/7*o**f + 0*o - 10/7*o**3 - 10 - 37/28*o**4. Factor t(p).
-p*(p + 1)**2*(2*p + 3)**2/7
Let q(l) be the second derivative of -l**7/252 - 7*l**6/60 + 37*l**5/24 - 101*l**4/24 + 35*l**3/9 - 6024*l. Suppose q(b) = 0. Calculate b.
-28, 0, 1, 5
Let f(o) = -2*o**3 - 21*o**2 + 9*o - 18. Let l be f(-11). Factor l*s**2 + 6*s**3 + 94787*s - 94787*s - 2*s**5.
-2*s**2*(s - 2)*(s + 1)**2
Let a(z) be the second derivative of -z**6/5 + 211*z**5/10 + 149*z**4/6 - 499*z**3/3 + 142*z**2 - 892*z. Suppose a(b) = 0. What is b?
-2, 1/3, 1, 71
Let i = -501 - -505. Determine p, given that -9*p**4 + 27*p - 57*p**2 + 54 + 25*p**3 - 6*p**2 + 7*p**4 - p**i = 0.
-2/3, 3
What is g in 730/3 + 242*g**2 - 486*g + 2/3*g**3 = 0?
-365, 1
Let c(n) be the second derivative of -n**7/630 + n**6/180 + n**4/4 - n**2/2 - 5*n. Let y(k) be the third derivative of c(k). Factor y(m).
-4*m*(m - 1)
Solve -2/3*h**2 + 34 + 28/3*h = 0.
-3, 17
Solve 1832/7*j + 512/7 + 20*j**2 = 0 for j.
-64/5, -2/7
Suppose 2/9*s**2 - 350 - 3148/9*s = 0. Calculate s.
-1, 1575
Suppose 505*w - 502*w - 12 = 0. Factor -4*t**2 + 2*t**3 + w + 8*t - 5*t**3 + 2*t**2 + 3*t**2.
-(t - 2)*(t + 1)*(3*t + 2)
Let r = -69 - -102. Suppose 0 = -7*a + 188 + 8. Let 14*k**2 + a + 75*k + 60*k - r*k = 0. What is k?
-7, -2/7
Let f(j) = 140*j**2 + 10095*j + 675. Let w(p) = -421*p**2 - 30211*p - 2024. Let h(d) = -14*f(d) - 5*w(d). Factor h(m).
5*(m + 67)*(29*m + 2)
Find b such that 2*b**3 + 663*b**2 + 390*b**2 + 1101*b**2 = 0.
-1077, 0
Let i be -1*2/(-6)*-9 - 1. Let u be (-8)/10*(18/i - -2). Solve 45*c**3 + 11*c**5 - 9*c**4 + 9*c**u - 106*c**3 + 48*c**3 + 2*c = 0.
-1, -2/11, 0, 1
Let k(j) be the second derivative of -9*j**7/35 + 427*j**6/25 - 43087*j**5/150 + 149561*j**4/90 - 60256*j**3/45 + 2156*j**2/5 - 3382*j. Solve k(a) = 0 for a.
2/9, 7, 33
Let l(f) be the third derivative of f**5/60 + f**4/4 - 2*f**3/3 - 16*f**2. Let t be l(-7). Determine d so that -4*d - 166*d**2 + 166*d**2 + 4*d**t = 0.
-1, 0, 1
Let y(j) = 15*j**3 - 60*j**2 - 395*j - 360. Let a(v) = -13*v**3 + 60*v**2 + 397*v + 356. Let h(u) = 5*a(u) + 4*y(u). Find q such that h(q) = 0.
-4, -1, 17
Suppose -43 = -2*f + 5*a, a - 121 = 2*f - 7*f. Suppose 5160 = -44*r + 173*r. Factor -90*l**2 + 23*l**3 - 12*l**3 + 100*l + f*l**3 - 5*l**4 - r.
-5*(l - 2)**3*(l - 1)
Let j = -322 - -376. Determine u so that -20 + 32*u**2 - j*u**3 + 12*u + 42*u**3 + 20 = 0.
-1/3, 0, 3
Let s = -360818/5 + 72164. Factor 0*j + 4/5*j**3 + 2/5*j**4 - s*j**5 + 0*j**2 + 0.
-2*j**3*(j - 2)*(j + 1)/5
Suppose -6*p**5 + 100*p**2 - 4*p**4 + 6*p + 6*p**5 + 52*p**3 + 42*p - 4*p**5 = 0. Calculate p.
-3, -1, 0, 4
Factor -47*g**3 + 3*g**4 + 270*g**2 + 4356 + 571*g - 6799*g + 24*g + 1719*g**2 - 97*g**3.
3*(g - 22)**2*(g - 3)*(g - 1)
Let c be 55/5500*50 - ((-2)/4 + -1). Factor -4 - m - 1/2*m**3 + 5/2*m**c.
-(m - 4)*(m - 2)*(m + 1)/2
Let o(j) be the second derivative of 1/3*j**3 + 5/2*j**2 + 0 - 10*j + 1/8*j**4 + 1/60*j**5. Let y(a) be the first derivative of o(a). Factor y(p).
(p + 1)*(p + 2)
Suppose f + 6 = 2*j, 813*j + 2*f = 808*j + 15. Determine y, given that 24/13*y**5 + 250/13*y**4 - 28/13*y**2 - 88/13*y + 18/13 + 304/13*y**j = 0.
-9, -1, 1/4, 1/3
Let w(b) be the first derivative of 0*b**4 - 3/20*b**5 + 34 + 1/2*b**3 + 0*b**2 - 12*b. Let c(x) be the first derivative of w(x). Factor c(j).
-3*j*(j - 1)*(j + 1)
Let q be -6 - (-1 - 4520/945). Let l = -2/27 - q. Factor 0 + 1/7*y**4 - l*y**2 + 1/7*y**3 - 1/7*y.
y*(y - 1)*(y + 1)**2/7
Let z be (-2128)/(-210) + (5/(-30)*-38 + -3)*-3. Find f such that 44/15 + z*f**2 - 46/15*f = 0.
1, 22
Let u be ((0/(-3))/(3 + -1 + -3))/(-1). Let r(m) be the first derivative of 2*m**3 + u*m**4 + 0*m - 7 - 2*m**2 - 2/5*m**5. Factor r(b).
-2*b*(b - 1)**2*(b + 2)
Let j be 3*15/(-27) - 10/((-150)/55). Let p(g) be the first derivative of -1/4*g**j - 5/6*g**3 - 3/8*g**4 + 1/2*g + 15. Factor p(q).
-(q + 1)**2*(3*q - 1)/2
Let z(u) be the first derivative of -1/33*u**6 + 2/11*u**4 + 0*u**5 - 98 + 0*u**2 + 0*u + 0*u**3. Let z(g) = 0. Calculate g.
-2, 0, 2
Let l(m) = -161*m**2 - 2087*m + 80. Let d be l(-13). Factor -35/3*o**3 + 10/3*o**d + 140/3*o - 40/3.
-5*(o - 2)*(o + 2)*(7*o - 2)/3
Let h(w) be the first derivative of -w**5/5 - 53*w**4/4 - 149*w**3 - 739*w**2/2 - 344*w + 6760. Factor h(u).
-(u + 1)**2*(u + 8)*(u + 43)
Let g(j) = 856*j - 54782. Let r be g(64). Let 9/5*x**5 + 0 + 9*x**3 + 27/5*x**r + 33/5*x**4 + 6/5*x = 0. What is x?
-1, -2/3, 0
Let i(c) be the second derivative of c**5/8 + 15*c**4/8 - 25*c**3/2 - 110*c**2 - 1902*c. Let i(l) = 0. What is l?
-11, -2, 4
Let f be (-24)/9*((-4)/10 + (-1365)/3900). Factor 1/5*c**f - 21/5*c - 22/5.
(c - 22)*(c + 1)/5
Let z(y) be the second derivative of -10/17*y**2 + 11/51*y**3 - 196*y - 1/102*y**4 + 0. Factor z(l).
-2*(l - 10)*(l - 1)/17
Let h(s) be the third derivative of s**6/30 - 38*s**5/15 + 305*s**4/6 - 1400*s**3/3 - 529*s**2. Factor h(p).
4*(p - 28)*(p - 5)**2
Let o(w) = -186*w**2 - w - 4. Let s be o(-2). Let j be s/(-6) + (-13)/39. Determine n, given that -61*n**2 + 7*n + j*n**2 - 66*n**2 + 8*n - 15*n**3 + 3 = 0.
-1, -1/5, 1
Let v(z) be the first derivative of z**6/9 - 2*z**5/3 - 5*z**4/2 + 130*z**3/9 - 70*z**2/3 + 16*z - 3860. Suppose v(t) = 0. What is t?
-4, 1, 6
Let l(w) = 73*w - 135. Let t be l(2). Let a(d) be the second derivative of 0 + 1/3*d**4 + 16/3*d**3 + 24*d**2 + t*d. Factor a(c).
4*(c + 2)*(c + 6)
Factor -33 + 56*c**2 + 201 - 5*c**3 + 3*c**3 - 220*c - 2*c**3.
-4*(c - 7)*(c - 6)*(c - 1)
Let k(j) = -2*j**4 + 27*j**3 - 270*j**2 + 491*j. Let g(v) = -3*v**3 + v. Let i(x) = -5*g(x) + k(x). Factor i(o).
-2*o*(o - 9)**2*(o - 3)
Let x(b) be the second derivative of -3*b**5/20 + 23*b**4/2 + 95*b**3/2 + 72*b**2 - 346*b. Factor x(g).
-3*(g - 48)*(g + 1)**2
Let k(o) be the first derivative of 6*o + 3