 0. Calculate l.
-1, 1, 2
Let v(t) = -22*t**3 - 16*t**2 - 70*t - 62. Let f(j) = -2*j**3 + j**2 + j + 1. Let s(w) = -20*f(w) + 2*v(w). Find a such that s(a) = 0.
-9, -2
Let o(y) be the first derivative of -y**4/38 + 2*y**3/57 + 14*y**2/19 - 48*y/19 - 378. What is p in o(p) = 0?
-4, 2, 3
Let q(n) = -n**3 + 2*n**2 + 2*n - 2. Let v be q(2). Suppose -v*i + 7*i = 20. Factor -c**2 + 3*c**i + 0*c**4 - 2*c**2.
3*c**2*(c - 1)*(c + 1)
Let t be 4 - (2/(-7) - 10/(-35)). Factor 16*k**2 + 6*k + k**3 - 36*k**2 + 17*k**2 - t*k.
k*(k - 2)*(k - 1)
Let n(h) be the second derivative of -2*h**7/21 - 19*h**6/30 - 9*h**5/5 - 17*h**4/6 - 8*h**3/3 - 3*h**2/2 - 382*h. Factor n(i).
-(i + 1)**4*(4*i + 3)
Let i(a) be the first derivative of -a**4/12 + 4*a**3/9 + 5*a**2/6 + 5. Solve i(m) = 0.
-1, 0, 5
Let b(k) be the third derivative of -k**5/100 + k**4/40 + k**3/5 + 905*k**2. Factor b(c).
-3*(c - 2)*(c + 1)/5
What is i in 3 + 6*i - 44 - i**3 + 23 - 9*i - 18*i - 8*i**2 = 0?
-3, -2
Let o(s) = -s**2 - 9*s - 10. Let n be o(-3). Let a = 8 - n. Find z such that 0 + a*z + 3/5*z**4 - 3/5*z**2 + 3/5*z**5 - 3/5*z**3 = 0.
-1, 0, 1
Let p = -3042 - -27380/9. Suppose 0 + 2/9*r - p*r**2 = 0. Calculate r.
0, 1
Factor x**3 - x**5 + 123*x**4 - 1 - 241*x**4 - 2*x**2 + 1 + 120*x**4.
-x**2*(x - 2)*(x - 1)*(x + 1)
Suppose -364*t - 354 = -541*t. Factor -8/15*o**t - 2/5*o + 2/15.
-2*(o + 1)*(4*o - 1)/15
Determine b so that 0*b + 0 + 72/7*b**2 - 20/7*b**3 = 0.
0, 18/5
Let x(l) be the first derivative of 2*l**3/21 + 20*l**2/7 + 38*l/7 + 148. Determine y, given that x(y) = 0.
-19, -1
Let x = 421/105 + -117/35. Factor -2 - 8/3*b - x*b**2.
-2*(b + 1)*(b + 3)/3
Suppose 2*l - 73 = -2*w + 5*l, -w + 59 = 3*l. Let k be w/77 - (-34)/14. Solve -7*m**4 - m**4 - 3*m**3 + 3*m**4 - k*m**5 - m**4 = 0.
-1, 0
Let p be (-31)/(-7) + 76/133. Let l(b) be the first derivative of -p - 1/4*b**4 - 2*b**3 - 8*b - 6*b**2. Factor l(v).
-(v + 2)**3
Let r(s) be the first derivative of 9*s**4/4 + 50*s**3 + 336*s**2 + 384*s - 107. Suppose r(j) = 0. What is j?
-8, -2/3
Let j(x) be the first derivative of -2/11*x**3 + 0*x - 1/22*x**4 - 16 - 2/11*x**2. Factor j(f).
-2*f*(f + 1)*(f + 2)/11
Suppose -3*x = -x + 2*i - 126, x = -5*i + 67. Let u = x - 121/2. Factor u*k**2 + 0*k + 0 + 3*k**3 + 3/2*k**4.
3*k**2*(k + 1)**2/2
Let w = -122 - -107. Let m be (106/w + 6)/((-2)/3). Factor -2/5*u**2 - m*u - 8/5.
-2*(u + 2)**2/5
Let w(f) be the first derivative of -128/7*f + 5/14*f**4 + 8/7*f**3 + 50 + 1/35*f**5 - 16/7*f**2. Factor w(g).
(g - 2)*(g + 4)**3/7
Let p = -55 + 58. Find w such that -2*w**2 + 2*w**4 - 76*w**p + 48*w**5 + 4*w - 15*w**5 + 39*w**5 = 0.
-1, -1/4, 0, 2/9, 1
Let l(q) be the second derivative of 5*q**6/12 + 277*q**5/8 + 3125*q**4/4 - 3080*q**3/3 - 1960*q**2 - 3*q + 59. What is o in l(o) = 0?
-28, -2/5, 1
Let n(z) be the first derivative of z**3/3 - 2*z + 1. Let b be n(2). Let -4*s**2 + 3*s + 0*s**b - s + 2*s**3 = 0. Calculate s.
0, 1
Factor -10/3*l - 2/3*l**3 + 100/3 - 16/3*l**2.
-2*(l - 2)*(l + 5)**2/3
Let m(g) be the third derivative of -1849*g**7/105 - 1763*g**6/30 - 503*g**5/10 + 41*g**4/3 - 4*g**3/3 + 30*g**2 - 1. Factor m(a).
-2*(a + 1)**2*(43*a - 2)**2
Let m(l) be the first derivative of 3*l**5/5 + 3*l**4/2 - 5*l**3 - 9*l**2 - 138. Factor m(p).
3*p*(p - 2)*(p + 1)*(p + 3)
Let f(u) be the third derivative of u**11/720720 - u**10/196560 + u**9/196560 + 11*u**5/60 - 10*u**2. Let s(x) be the third derivative of f(x). Factor s(d).
2*d**3*(d - 1)*(3*d - 2)/13
Let g = 1220540/474649 - 2/67807. What is b in 0 + 6/7*b**2 - g*b**3 + 18/7*b**4 - 6/7*b**5 + 0*b = 0?
0, 1
Let w(i) be the first derivative of i**3/21 + 20*i**2/7 + 400*i/7 - 96. Factor w(s).
(s + 20)**2/7
Let h(c) be the second derivative of c**5/90 - 67*c**4/54 + 385*c**3/9 - 121*c**2 + 2*c - 27. Factor h(u).
2*(u - 33)**2*(u - 1)/9
Let a(y) be the second derivative of -21*y - 1/70*y**5 + 5/21*y**3 + 0 - 3/7*y**2 - 1/42*y**4. Find u, given that a(u) = 0.
-3, 1
Let u = 16781 + -100937/6. Let k = u - -135/2. Factor -4/3*t - k*t**3 + 32/3*t**2 + 0 + 49/3*t**4.
t*(t - 1)*(7*t - 2)**2/3
Suppose 5*z - 32 = 2*c, 6*z - 5*z + c = -2. Factor 2/3 - 8/3*k**3 + 4*k**2 + 2/3*k**z - 8/3*k.
2*(k - 1)**4/3
Let o be -3 + 4 + 3 + 0 + -2. Suppose -p = -2*p + o. Suppose -6/7*v - 2/7*v**3 + 2/7 + 6/7*v**p = 0. Calculate v.
1
Let h = -4 + 6. Suppose h - 6 = -5*b + 4*a, -2*b + 5*a - 12 = 0. Determine w so that 0*w + 0 + 3/4*w**3 + 0*w**b - 3/4*w**5 + 0*w**2 = 0.
-1, 0, 1
Let -15/2 + u**3 - 8*u + 29/2*u**2 = 0. What is u?
-15, -1/2, 1
Let d(p) be the first derivative of -p**4/4 + 4*p**3/3 - 3*p**2/2 + 2*p + 2. Let f be d(3). Factor 0*r + 4*r - 2*r**f - 5 + 3.
-2*(r - 1)**2
Factor 0*o**4 + 0 + 3/11*o**3 + 2/11*o**2 - 1/11*o**5 + 0*o.
-o**2*(o - 2)*(o + 1)**2/11
Suppose 3*n - 2 = -29. Let y be ((-6)/n)/(8/228). Determine x so that y*x + 12*x + 4*x**2 - 23*x + 4 = 0.
-1
What is s in 9 - 16*s**4 - 47/2*s + 7*s**2 + 3/2*s**5 + 22*s**3 = 0?
-1, 2/3, 1, 9
Let z(m) be the third derivative of m**5/135 - 17*m**4/54 - 76*m**3/27 + 755*m**2. Solve z(p) = 0.
-2, 19
Let m(y) be the third derivative of 0*y**4 + 0*y**3 - 9*y**2 + 1/120*y**5 + 0*y - 1/480*y**6 + 0. Factor m(d).
-d**2*(d - 2)/4
Let o(v) be the first derivative of -2*v**3/27 + 11*v**2/3 + 398. Let o(x) = 0. Calculate x.
0, 33
Let b(x) be the first derivative of 16*x**2 - 4/3*x**3 - 33 + 0*x. Let b(t) = 0. What is t?
0, 8
Let a(f) be the first derivative of f**4/14 + 4*f**3/7 + 9*f**2/7 + 8*f/7 + 239. Find l such that a(l) = 0.
-4, -1
Let s = -43564 + 1089102/25. Factor -8/25*x + 0 + s*x**2.
2*x*(x - 4)/25
Let q(o) be the first derivative of -5*o**3/3 - 85*o**2/2 - 80*o + 174. Factor q(n).
-5*(n + 1)*(n + 16)
Let v(b) be the third derivative of -b**5/12 + 25*b**4/3 - 1000*b**3/3 + 725*b**2. Factor v(c).
-5*(c - 20)**2
Let g(s) = s**2 - 9*s + 10. Let v(z) = z**3 + 3*z**2 - 3*z - 1. Let d be v(-3). Let f be g(d). Factor -6*a**3 + 3*a + 9*a**3 + 10*a**2 - 4*a**f.
3*a*(a + 1)**2
Let u(h) be the second derivative of -1/45*h**5 - 1/27*h**3 + 1/270*h**6 + 0 + 5/108*h**4 - 28*h + 0*h**2. Factor u(k).
k*(k - 2)*(k - 1)**2/9
Let u = 49 + -42. Let v(y) be the third derivative of -1/1575*y**u + 1/90*y**4 - 1/450*y**6 + y**2 + 0*y**5 + 0*y + 1/45*y**3 + 0. Factor v(o).
-2*(o - 1)*(o + 1)**3/15
Let n = -1/248 + 3973/1240. Let p = 4 - n. Find u such that 0 + 0*u - p*u**3 - 4/5*u**4 - 1/5*u**2 = 0.
-1/2, 0
Let q(z) = 8*z**5 + 39*z**4 + 45*z**3 + 19*z**2 + 5*z - 2. Let a(k) = -6*k**5 - 39*k**4 - 45*k**3 - 18*k**2 - 6*k + 3. Let f(s) = 2*a(s) + 3*q(s). Factor f(b).
3*b*(b + 1)**3*(4*b + 1)
Find r, given that -174/11*r + 180/11 + 174/11*r**3 - 186/11*r**2 + 6/11*r**4 = 0.
-30, -1, 1
Let w be (-20)/(-11) - (-80)/440. Let r(a) = a - 14. Let y be r(14). Factor y + 0*l**w + 3/7*l**3 + 0*l.
3*l**3/7
Let 2*d**3 - 2*d**3 + 5*d**3 - 58 - 149*d**2 + 283 + 1095*d + 0*d**3 = 0. Calculate d.
-1/5, 15
Suppose 0 = 3*w + 4*s - 33, -66*s + 64*s + 9 = -w. Suppose 0*b**4 + 0 + 5/3*b**5 + 0*b - 5*b**w - 10/3*b**2 = 0. Calculate b.
-1, 0, 2
Solve 36/11*o**2 + 0*o + 0 - 2/11*o**3 = 0 for o.
0, 18
Suppose -6*x + x = -10. Factor -96*t**3 + 6*t**2 + 97*t**3 - t**2 + 0*t**x.
t**2*(t + 5)
Let f be 6/4 - (-3360)/(-2250). Let z(u) be the second derivative of 8/5*u**2 - 5*u + 0 + 2/5*u**4 - 2/25*u**5 - 16/15*u**3 + f*u**6. Factor z(s).
(s - 2)**4/5
Let n(j) be the first derivative of 21*j**4/16 - 15*j**3/2 - 57*j**2/2 + 18*j - 228. Determine a so that n(a) = 0.
-2, 2/7, 6
Let z = 4/481 + 321/19240. Let b(d) be the second derivative of 2*d + 0 + 1/4*d**4 + 2*d**2 - d**3 - z*d**5. Determine j so that b(j) = 0.
2
Let b be 4*(-1)/(-9 + 11 + -4). Let 3/2*f**3 + 0 - 15/2*f**b + 9*f = 0. Calculate f.
0, 2, 3
Let u(z) be the first derivative of -z**5/30 - z**4/18 + 12*z - 24. Let a(w) be the first derivative of u(w). Factor a(b).
-2*b**2*(b + 1)/3
Let l(h) = 3*h + 7. Let r(w) = -8*w - 23. Let j(u) = 21*l(u) + 6*r(u). Let c(x) = x**3 - x**2 - 15*x - 9. Let n(q) = -3*c(q) - 2*j(q). Factor n(d).
-3*(d - 3)*(d + 1)**2
Let g(c) be the second derivative of -c**6/6 + c**5 - 5*c**4/4 - 10*c**3/3 + 10*c**2 - 2*c + 142. Find l, given that g(l) = 0.
-1, 1, 2
Let y = 1375/9 + -457/3. Solve -4/9*g**2 - y*g**3 - 2/9*g**5 - 2/9 + 2/3*g**4 + 2/3*g = 0.
-1, 1
Suppose 5*d + 5*j - 20 = 0, -4*d + 49*j - 47*j + 16 = 0.