k(-14). What is l in 82*l**2 - 10*l**3 + 92*l**2 - 32*l**4 + 67*l - 38*l**o + 42*l + 12 - 15*l = 0?
-3, -1/4, 2
Let x(a) = a**3 - 5*a**2 - 10*a - 3. Let n be x(7). Let f be (-80)/n + 4 - (-18)/(-135). Factor 8/3 - 8/3*i + 2/3*i**3 - f*i**2.
2*(i - 2)*(i - 1)*(i + 2)/3
Let p(n) be the second derivative of 0 - 2*n - 1/30*n**5 - 1/15*n**4 - 1/150*n**6 - 1/15*n**3 - 4*n**2. Let o(y) be the first derivative of p(y). Factor o(l).
-2*(l + 1)**2*(2*l + 1)/5
Let d = 16149449/15 + -1076627. Factor -d - 6/5*t + 2/15*t**2.
2*(t - 11)*(t + 2)/15
Suppose -1286*g + 2949 + 22771 = 0. Factor 25/2*t**3 + 0*t + 0 + g*t**2 + 5/4*t**4.
5*t**2*(t + 2)*(t + 8)/4
Let u(o) be the first derivative of 3*o**5/20 - 5*o**4/8 - o**3/3 + 5*o**2 - 8*o - 2600. Find l, given that u(l) = 0.
-2, 4/3, 2
Let z(c) be the third derivative of -c**6/540 + 31*c**5/135 - 581*c**2. Determine l, given that z(l) = 0.
0, 62
Suppose -q + 28 = -i + 21, 5*i - 35 = -2*q. Let 15/2*z**2 - 6*z**i + 12*z - 45/4 - 9/4*z**4 = 0. Calculate z.
-3, -5/3, 1
Let y = -2/3645 - -58334/25515. Let w be 51/(-68) - 115/(-20). Factor -40/7*u**3 + 0 - y*u**2 - 2*u**w + 52/7*u**4 + 0*u.
-2*u**2*(u - 2)**2*(7*u + 2)/7
Let s = -169 - -422. Let -320*d - 1412 - 5*d**2 - 3387 - 574 + s = 0. What is d?
-32
Determine b so that 11072/3*b**2 + 3924*b + 772/3*b**3 + 486 + 14/3*b**4 = 0.
-27, -1, -1/7
Suppose 0 = 38*d - 78 - 74. Let v(z) be the first derivative of 2 + 0*z + 0*z**2 - 3/10*z**d + 3/5*z**3 - 3/25*z**5. Factor v(u).
-3*u**2*(u - 1)*(u + 3)/5
Let p(v) = -v**3 + 21*v**2 + 3. Let n be p(21). Factor -714*r + 722*r + 3*r**3 - 25*r**2 + 0*r**n.
r*(r - 8)*(3*r - 1)
Let h(r) be the first derivative of r**8/420 - 8*r**7/525 + r**6/50 + 63*r**2/2 - 62. Let i(o) be the second derivative of h(o). Suppose i(j) = 0. What is j?
0, 1, 3
Let g(v) be the first derivative of -v**6/2 + 3*v**5 + 33*v**4 + 60*v**3 + 3556. Determine c, given that g(c) = 0.
-3, -2, 0, 10
Suppose -11 - 13 - 4 + 7 - a**2 - 8*a + 5 = 0. What is a?
-4
Factor -2/7*t**3 - 584/7 - 286/7*t**2 + 872/7*t.
-2*(t - 2)*(t - 1)*(t + 146)/7
Factor 100/13 + 46/13*y - 2/13*y**2.
-2*(y - 25)*(y + 2)/13
Let y(q) be the third derivative of -35 + 1/15*q**5 + 32/3*q**4 + 2048/3*q**3 + 3*q**2 + 0*q. Factor y(w).
4*(w + 32)**2
Suppose -12*t = h - 16*t - 487, 979 = 2*h - 3*t. Suppose h - 461 = 6*b. Determine w so that 0 - 3/2*w**3 - w**2 - w**4 - 1/4*w**b - 1/4*w = 0.
-1, 0
Let k(p) be the third derivative of -2*p**2 + 0*p + 0 - 4/15*p**3 + 1/6*p**4 - 1/25*p**5. Factor k(m).
-4*(m - 1)*(3*m - 2)/5
Let d(a) be the third derivative of a**6/320 + 7*a**5/16 - 73*a**4/16 + 37*a**3/2 - a**2 + 48*a. Factor d(g).
3*(g - 2)**2*(g + 74)/8
Let i(k) be the third derivative of 0*k + 1/240*k**5 - 1/480*k**6 + 20 + 5/48*k**4 + 1/3*k**3 - k**2. Suppose i(j) = 0. Calculate j.
-2, -1, 4
Suppose -2*k + 0 + 2/5*k**2 = 0. Calculate k.
0, 5
Let m(k) be the first derivative of -k**4/7 - 4*k**3 - 144*k**2/7 - 272*k/7 + 7004. Solve m(w) = 0 for w.
-17, -2
Suppose 0 + 96/23*p**2 - 94/23*p - 2/23*p**3 = 0. What is p?
0, 1, 47
Suppose 3 = 364*u - 392*u + 3. Let c(i) be the second derivative of -1/30*i**4 + u - 2/5*i**2 + 1/5*i**3 - 5*i. Factor c(r).
-2*(r - 2)*(r - 1)/5
Let f(u) be the first derivative of 16/7*u**2 + 62 + 0*u - 2/21*u**3. Factor f(l).
-2*l*(l - 16)/7
Let u(f) be the first derivative of 2*f**3/9 + 29*f**2/15 + 8*f/3 - 90. Find d such that u(d) = 0.
-5, -4/5
Suppose n + 1 = 14*f - 9*f, 2*n - f = -11. Let i be (1 - -3) + (n - 28/(-4)). Determine h, given that -1/4*h**i + 0*h + 3/4*h**4 + 1/4*h**2 - 3/4*h**3 + 0 = 0.
0, 1
Factor -3/4*c**4 - 399/4*c**2 + 0*c + 201/2*c**3 + 0.
-3*c**2*(c - 133)*(c - 1)/4
Let t be 24/(-20)*-2 + -2. Let s(v) = -286*v + 6006. Let b be s(21). Suppose 0 - 1/5*r**2 - 1/5*r**4 + b*r - t*r**3 = 0. What is r?
-1, 0
Let v(g) = -16*g**4 - 201*g**3 - 171*g**2 + 932*g - 599. Let z(m) = -3*m**4 - 40*m**3 - 34*m**2 + 186*m - 119. Let a(i) = 10*v(i) - 55*z(i). Factor a(h).
5*(h - 1)**2*(h + 3)*(h + 37)
Let s(h) = -h**2 - 3*h - 1. Let y(t) = t**3 + 130*t**2 - 159*t - 7. Let c(x) = 28*s(x) - 4*y(x). Factor c(b).
-4*b*(b - 1)*(b + 138)
Let p(a) be the first derivative of -1/22*a**4 + 9 + 8/11*a - 2/11*a**3 + 0*a**2. Factor p(y).
-2*(y - 1)*(y + 2)**2/11
Let b(z) = -82*z + 14. Let h be b(-1). Suppose -t = 31*t - h. Find y such that 0*y**2 - 3 + 3/2*y**t - 9/2*y = 0.
-1, 2
Let t(k) be the second derivative of k**4/32 - 925*k**3/8 + 2566875*k**2/16 + 694*k. Find l, given that t(l) = 0.
925
Let b = -281422/57 - -93820/19. Factor -32/3 + 0*y + b*y**2.
2*(y - 4)*(y + 4)/3
Suppose -950*n = -957*n - 392. Let p be n/672*2/((-2)/3). Let p*u**2 + 2 + 3/2*u = 0. Calculate u.
-4, -2
Let a be (-2)/(-39) - ((-29772)/(-1053) - 30). Let a*s**3 + 16/3*s - 2/9*s**4 - 2 - 44/9*s**2 = 0. What is s?
1, 3
Let w(a) = -a**2 + 30*a + 2. Let j be w(30). Determine k, given that -4 + 12*k**j + 4*k**4 + 15 - 11 - 16*k**3 = 0.
0, 1, 3
Let k(y) be the second derivative of -y**4/16 - 201*y**3/8 + 303*y**2/4 + 2*y - 2982. Factor k(h).
-3*(h - 1)*(h + 202)/4
Let d(u) = -29*u**3 + 1933*u**2 - 174776*u - 541512. Let y(m) = 85*m**3 - 5795*m**2 + 524330*m + 1624535. Let z(c) = -35*d(c) - 12*y(c). Solve z(s) = 0.
-3, 190
Factor 64 + 1/3*x**2 - 38/3*x.
(x - 32)*(x - 6)/3
Find i, given that -5/2*i**2 + 85/2*i + 45 = 0.
-1, 18
Let q(i) = i**3 + 59*i**2 - 174*i + 134. Let p(h) = 2*h + 2. Let o(t) = -5*p(t) + q(t). Find f, given that o(f) = 0.
-62, 1, 2
Let l(p) be the first derivative of -2*p**3/15 + 1634*p**2/5 - 1334978*p/5 - 3051. Let l(y) = 0. What is y?
817
Let n be -3*((-1331)/(-44) + -31)/((-6)/(-8)). Suppose 22/13*b**n - 2/13*b + 0 + 8/13*b**2 + 12/13*b**4 = 0. What is b?
-1, 0, 1/6
Let r = 59933/12504 - -128/1563. Suppose -9/4 + 3/4*y**3 - 3/8*y**2 - r*y = 0. Calculate y.
-2, -1/2, 3
Suppose 2*k = 6*k. Suppose k = 5*c + p - 14, c + p - 11 = -3*c. Suppose 8*m**2 + 2*m - 46*m**3 - 2*m - 8*m**4 + 4*m**5 + 42*m**c = 0. What is m?
-1, 0, 1, 2
Let s(h) be the first derivative of -h**6/3 + h**5/4 + 5*h**4/6 - 5*h**3/6 + 112*h - 70. Let w(f) be the first derivative of s(f). Solve w(u) = 0 for u.
-1, 0, 1/2, 1
Let k(p) be the first derivative of p**3/3 - 3*p**2/2 + 3*p + 30. Let b be k(0). Factor 0 + j - 4*j**3 - 7 + 7*j**2 + b*j**3 + 0.
-(j - 7)*(j - 1)*(j + 1)
Suppose q + 0 - 2 = 0. Let v = 4010077 + -12030229/3. Factor v*k - 1/3*k**q + 0.
-k*(k - 2)/3
Let z be (0 - -9)/(-22 - (-700)/28). Factor -12/5 + j**2 + 8/5*j - 1/5*j**z.
-(j - 6)*(j - 1)*(j + 2)/5
Let z = 1085/1686 + 13/562. Let u(h) be the first derivative of 0*h**2 + z*h**3 + 3/4*h**4 + 5 + 0*h. Factor u(c).
c**2*(3*c + 2)
Let s(c) be the first derivative of 9/8*c**2 - 113 + 0*c - 1/4*c**3. Factor s(p).
-3*p*(p - 3)/4
What is w in 94/11*w + 2/11*w**2 - 1860/11 = 0?
-62, 15
Let u be 2/((-13)/(520/16)) + (-315)/(-18). Solve -155*y**2 - 25/2 + 90*y - u*y**4 + 90*y**3 = 0 for y.
1/5, 1, 5
Let p(n) be the third derivative of n**5/210 - 5*n**4/84 - 12*n**3/7 + n**2 - 538. What is a in p(a) = 0?
-4, 9
Let i(u) be the third derivative of 0*u + 4/7*u**3 - 3/28*u**4 + 0 + 28*u**2 + 1/140*u**5. Let i(a) = 0. What is a?
2, 4
Let z(w) = 5*w**2 - 22*w + 20. Let x(p) = -5*p**2 + 23*p - 20. Suppose 4*t = c + 15, -2*c + 2*t - 15 = c. Let b(q) = c*x(q) - 2*z(q). What is i in b(i) = 0?
1, 4
Let z(d) be the second derivative of -d**6/1020 + d**5/255 + 5*d**4/51 + 8*d**3/17 - 125*d**2/2 - 248*d. Let b(y) be the first derivative of z(y). Factor b(p).
-2*(p - 6)*(p + 2)**2/17
Let f(x) be the first derivative of 5*x**4/4 + 805*x**3/3 + 3100*x**2 + 12240*x + 2867. Suppose f(o) = 0. Calculate o.
-153, -4
Let n(a) be the first derivative of 108 + 1/2*a - 1/6*a**3 - 1/24*a**4 + 1/12*a**2. Factor n(v).
-(v - 1)*(v + 1)*(v + 3)/6
Suppose 4*v - 255 = 5*s, 13*s - 15*s + 114 = 2*v. Suppose 23*k - v = 3*k. Factor 8/3*h + 0*h**2 - 4/3 + 4/3*h**4 - 8/3*h**k.
4*(h - 1)**3*(h + 1)/3
What is i in 157/3*i + 12*i**2 + 40 - 1/3*i**3 = 0?
-3, -1, 40
Let j = 1160596/7 + -165628. Solve 1/7*r**3 + 60/7*r**2 + 8000/7 + j*r = 0 for r.
-20
Let d be 1/(-15) + (-9492)/18. Let y = d - -529. Factor -2*p + 2/5*p**2 + y.
2*(p - 4)*(p - 1)/5
Let t(k) be the first derivative of -14/9*k**3 - 17/3*k**2 + 1/6*k**4 - 6*k - 5. Factor t(j).
2*(j - 9)*(j + 1)**2/3
Let r(m) be the second derivative of 7*m**4/18 + m**3/9 