*m - 7430. Let y(l) = -9*l**2 - 320*l - 3712. Let o(q) = -2*v(q) + 5*y(q). Let o(i) = 0. What is i?
-10, 74
Let p(l) = -67*l + 297. Let w be p(13). Let f = w + 2301/4. Let 1/4*u**2 - f*u + 1 = 0. What is u?
1, 4
Let o = 50211 + 127503. Determine v so that -94657*v + 3*v**5 + 67579*v + o*v + 2847*v + 12315*v**3 + 138117*v - 139968 - 163620*v**2 - 330*v**4 = 0.
1, 36
Suppose -1952*s - 50148 - 4*s**2 - 102793 - 133524 - 21291 + 69612 = 0. Calculate s.
-244
Let z(u) = -u**2 + 18*u + 30. Let k be z(19). Let w(b) = b**3 - 9*b**2 - 20*b - 20. Let g be w(k). Suppose 0 - 2/7*d + 2/7*d**3 + 0*d**g = 0. What is d?
-1, 0, 1
Let j = -192 + 243. Let 24 - 6*u - 75*u**2 + 45*u**3 - 2*u**5 + 11*u**5 + j*u**4 - 48*u = 0. What is u?
-4, -2, -1, 1/3, 1
Let r = 1211 + -1211. Let l(v) be the second derivative of 0*v**2 + 0*v**4 + 0*v**3 - 20*v - 3/140*v**5 - 1/70*v**6 + r. Factor l(j).
-3*j**3*(j + 1)/7
Let n be 2 - -1 - (8 - 116)/18. Suppose -n = -36*g + 27*g. Factor 1/2*f**3 - g - 1/2*f - 1/2*f**4 + 3/2*f**2.
-(f - 2)*(f - 1)*(f + 1)**2/2
Let o = -1201/3 - -415. Let s(n) = 3*n**2 - 240*n - 745. Let c be s(83). Let -52/3*a - 12*a**c + 52/3*a**3 + o*a**4 - 8/3 = 0. What is a?
-1, -2/11, 1
Suppose -2*u + 870 = 862. Solve -26 - 28 - u*z**2 - 54*z - 2*z**2 + 27*z + 3*z**2 = 0 for z.
-6, -3
Let t(z) = 2*z**5 + 4*z**4 - z**3 - 3*z**2 - z. Let q(h) = -3*h**5 - 93*h**4 + 408*h**3 + 2034*h**2 + 3*h. Let b(l) = q(l) + 3*t(l). Factor b(i).
3*i**2*(i - 15)**2*(i + 3)
Suppose -41 - 30 = -o. Let a = o + -59. Factor 158*k**2 - 80*k**2 - 15*k**3 - 6*k**3 - 39*k - a - 6.
-3*(k - 3)*(k - 1)*(7*k + 2)
Let w(d) be the third derivative of 1/7*d**7 + 7/24*d**6 + 0*d**3 + 1 + 0*d**5 + 0*d + 0*d**4 + 16*d**2 - 5/336*d**8. Factor w(o).
-5*o**3*(o - 7)*(o + 1)
Factor -2/5*f**3 + 774/5 - 534/5*f + 98/5*f**2.
-2*(f - 43)*(f - 3)**2/5
Let j(t) be the first derivative of 169*t**3/3 + 5902*t**2 + 206116*t - 3751. Factor j(s).
(13*s + 454)**2
Let x(g) be the third derivative of g**6/80 - 43*g**5/20 + 409*g**4/16 - 81*g**3 - g**2 + 5*g - 2. Find q, given that x(q) = 0.
1, 4, 81
Let p(y) be the second derivative of -1/3*y**3 + 1/2*y**2 + 0 + 1/48*y**4 - 81*y + 3/80*y**5. Find b such that p(b) = 0.
-2, 2/3, 1
Factor 6886/9*c - 242/3 + 1270/9*c**2 + 58/9*c**3.
2*(c + 11)**2*(29*c - 3)/9
Let t(l) be the first derivative of 3*l**4/16 + 67*l**3/2 - 4245*l**2/8 + 2700*l + 3441. Factor t(g).
3*(g - 5)**2*(g + 144)/4
Let k = -5 - 35. Let f = -36 - k. Factor -2*c**2 + 5*c + 2*c**f + c + 2*c**3 - 8*c.
2*c*(c - 1)*(c + 1)**2
Let o = 18125 + -18125. Let g(h) be the first derivative of o*h - 2/9*h**4 + 27 - 4/27*h**3 - 4/45*h**5 + 0*h**2. Solve g(q) = 0.
-1, 0
Factor -1/2*z**3 - 27 - 7*z**2 - 51/2*z.
-(z + 2)*(z + 3)*(z + 9)/2
Let -513*o**2 + 129*o**3 + 378*o - 71047*o**4 + 142103*o**4 - 71047*o**4 - 3*o**5 = 0. What is o?
-7, 0, 1, 3, 6
Solve 52/9*r**2 + 116/9*r - 4/9*r**3 + 20/3 = 0 for r.
-1, 15
Let r(s) be the first derivative of s**3/3 + 549*s**2 + 301401*s + 4350. Factor r(p).
(p + 549)**2
Let v = 185 - 137. What is b in -84 + 0*b**2 + v + 3*b**2 + b**2 = 0?
-3, 3
Let i(j) be the third derivative of -j**5/30 - 185*j**4/3 - 136900*j**3/3 - 874*j**2. Solve i(n) = 0 for n.
-370
Factor -253 + 255/2*d - 1/2*d**2.
-(d - 253)*(d - 2)/2
Let t = 144558/7 + -20649. Let -1/7*w**5 - t*w**3 + 0*w + w**4 + 0 + 9/7*w**2 = 0. What is w?
0, 1, 3
Let q(b) be the first derivative of -70/3*b**3 + b**5 + 0*b**2 + 25/4*b**4 + 0*b + 23. What is d in q(d) = 0?
-7, 0, 2
Solve -435*s**3 + 145*s**5 - 17*s**4 - 13*s**4 - 60*s + 252*s**2 + 275*s**2 - 147*s**2 = 0 for s.
-2, 0, 6/29, 1
Suppose 11*s - 24*s - 31*s = -88. Let q(v) be the first derivative of 0*v**s + 0*v + 0*v**3 + 0*v**4 - 9/20*v**5 + 15 + 1/8*v**6. Factor q(n).
3*n**4*(n - 3)/4
Let -180 + 272*j - 67*j**3 - 1/4*j**5 - 48*j**2 + 93/4*j**4 = 0. Calculate j.
-2, 1, 2, 90
Let s(f) be the first derivative of -4/15*f**3 + 1/10*f**2 - 4/25*f**5 + 3/10*f**4 + 0*f - 32 + 1/30*f**6. Solve s(b) = 0 for b.
0, 1
Suppose 1/2*k**2 - 1/2*k - 10 = 0. What is k?
-4, 5
Let b(c) be the third derivative of 1/12*c**4 + 0*c - 2*c**2 - 1 + 1/2*c**3 - 1/60*c**5. Factor b(q).
-(q - 3)*(q + 1)
Factor 14112 + 168*d + 1/2*d**2.
(d + 168)**2/2
Let k(j) = 13 + 89 - 16*j**2 + 50*j - 11*j**2 + 21*j**2. Let m(v) = -7*v**2 + 53*v + 101. Let g(r) = -3*k(r) + 2*m(r). Let g(y) = 0. Calculate y.
-2, 13
Let p(y) = 156*y + 10 - 7 - 57*y - 7 + 103*y**2. Let k(z) = 517*z**2 + 496*z - 21. Let v(b) = -4*k(b) + 22*p(b). Factor v(o).
2*(o + 1)*(99*o - 2)
Let f(w) be the second derivative of -w**6/15 + 9*w**5/10 + 2*w**4 - 160*w**3/3 + 6655*w. Factor f(j).
-2*j*(j - 8)*(j - 5)*(j + 4)
Let k(f) be the third derivative of 0 - 1/15*f**5 + 2/105*f**7 + 61*f**2 + 1/1008*f**8 + 0*f**3 - 1/2*f**4 + 0*f + 7/72*f**6. What is z in k(z) = 0?
-6, -1, 0, 1
Let a(j) be the third derivative of -j**7/900 - j**6/200 + 17*j**4/6 - j**3/6 + 3*j**2 + 2*j. Let l(u) be the second derivative of a(u). Factor l(w).
-2*w*(7*w + 9)/5
Let n be (11/(77/(-42)))/(-3). Let c be n*(135/(-25))/(-9). Factor 2/5 - 12/5*q**2 + 0*q + 16/5*q**3 - c*q**4.
-2*(q - 1)**3*(3*q + 1)/5
Let v be 9/(3 - -9 - 9). Let g(k) be the second derivative of 0 + 5/4*k**4 - 5*k + 1/4*k**5 + 0*k**2 + 5/3*k**v. Factor g(y).
5*y*(y + 1)*(y + 2)
Suppose 0 = 22*v - 710 + 72. Find z, given that -v*z**5 + 4*z**4 - 60*z**4 + 512*z**2 - 40*z**4 + 4*z**4 - 960*z + 208*z**3 + 37*z**5 - 576 = 0.
-2, -1/2, 2, 6
Let z = -307926/7 - -3387200/77. Find p, given that 101306/11 + 222/11*p**2 + z*p**3 + 8214/11*p = 0.
-37
Let p = -310870/11 + 932632/33. Solve 82/3 - 28*d + p*d**2 = 0.
1, 41
Factor -35 - 2*a - 21 - 36*a + 12*a**2 - 28 + 3*a**3 - 37*a.
3*(a - 4)*(a + 1)*(a + 7)
Let x(h) be the third derivative of h**5/210 + 31*h**4/84 + 10*h**3/7 - 1986*h**2. Suppose x(t) = 0. Calculate t.
-30, -1
Let n = 59 + -52. Let k = n - 4. Factor -2*d + 3*d**k + 0*d + d**2 + 5*d + 5*d**2.
3*d*(d + 1)**2
Let z be (-15)/(-2) + 115/10 + -11. Suppose 5*q + 0 + z = 4*u, u + 2*q = 2. Factor 2*n**u + 2/5 + 12/5*n.
2*(n + 1)*(5*n + 1)/5
Suppose 0 = 387*z - 333*z - 162. Let f(p) be the second derivative of 0 - 14*p - 1/15*p**6 + 0*p**4 - 1/20*p**5 - 1/42*p**7 + 0*p**2 + 0*p**z. Factor f(d).
-d**3*(d + 1)**2
Let l(r) = 66*r + 106. Let u be l(16). Let y = u + -10456/9. Factor 2*j - 16/9 - y*j**2.
-2*(j - 8)*(j - 1)/9
Let o = 1541 - 1492. Let k be (-7 + 336/o)*-2. Determine z, given that k*z**2 + 2/7*z - 4/7 = 0.
-2, 1
Factor -47 + 255*j - 20*j**2 - 64*j**2 + 79*j**2 + 3286 - 189.
-5*(j - 61)*(j + 10)
Suppose 30 - 3 = 3*d - 5*r, -2*d + 5 = r. Let u be (1/(-2))/((-2)/128). Let 5*x**d - 39*x**4 + 28*x**2 + u*x**3 - 30*x**4 - x + 5*x = 0. What is x?
-1/4, 0, 1
Let l(v) be the first derivative of v**6/3 + 2*v**5 - 6*v**4 - 152*v**3/3 - 80*v**2 - 878. Let l(o) = 0. Calculate o.
-5, -2, 0, 4
Let f(z) = 42*z**5 + 264*z**4 - 105*z**3 - 3*z**2 - 3*z. Let i(q) = -33*q**5 - 264*q**4 + 106*q**3 + 2*q**2 + 2*q. Let p(g) = -2*f(g) - 3*i(g). Factor p(w).
3*w**3*(w + 18)*(5*w - 2)
Let g(a) be the second derivative of a**4/54 + 58*a**3/27 + 19*a**2/3 + 871*a. Factor g(n).
2*(n + 1)*(n + 57)/9
Let u(b) = -2*b**3 + 26*b**2 + 4. Let y be u(13). Let q be ((-280)/(-105))/(y/6). Suppose -4/9*a - 4/9*a**q + 4/3*a**2 - 8/9 + 4/9*a**3 = 0. Calculate a.
-1, 1, 2
Let z(j) be the third derivative of 0*j + 0*j**4 + 0*j**3 + 1/1176*j**8 + 0 + 0*j**5 - 1/70*j**6 - 55*j**2 - 1/147*j**7. Let z(d) = 0. Calculate d.
-1, 0, 6
Let c be (10/4)/((-197)/(-394)). Determine z, given that -50 - c*z - 1/8*z**2 = 0.
-20
Let d be 2/(4/(-6)) + 33 + -25. Suppose 5*t + 0*m - 21 = m, 0 = -d*t - 3*m + 17. Solve -t*c**2 - 4 + 0 - 12*c - 3*c**2 + 2*c**2 = 0 for c.
-2, -2/5
Let m(p) be the third derivative of -p**7/1260 - 11*p**6/360 - 181*p**5/360 - 55*p**4/12 - 25*p**3 - 2*p**2 - 431*p. Factor m(w).
-(w + 5)**2*(w + 6)**2/6
Let a = 556 - 200. Let b = a - 351. Factor 10*u**2 + b - 25/2*u - 5/2*u**3.
-5*(u - 2)*(u - 1)**2/2
Factor 0 - 15*q**2 - 3/2*q**3 + 144*q.
-3*q*(q - 6)*(q + 16)/2
Let l(d) be the first derivative of 0*d**3 - 3/40*d**5 + 0*d**2 - 1/8*d**4 + 4 - 8*d. Let h(m) be the first derivative of l(m). Suppose h(c) = 0. What is c?
-1, 0
Let a = 341 - 338. Suppose -10 = 5*z + 5*n, 2*z - 7*n - 26 = -a*n. Factor -3 + 9/4*l**2 - 3/4*l**z + 0*l.
-3*(l - 2)**2*(l