e the first derivative of i(n). Factor k(p).
-4*p*(p - 2)*(p + 1)
Let o(y) = -387*y**3 - 35539*y**2 - 20197*y - 2865. Let d(g) = -581*g**3 - 53305*g**2 - 30295*g - 4299. Let i(z) = 5*d(z) - 7*o(z). Factor i(v).
-4*(v + 90)*(7*v + 2)**2
Suppose 542 = 10*o + 112. Factor -o*a**2 + 128*a**2 - 45*a**2 - 3*a**3 - 37*a**2.
-3*a**2*(a - 1)
Let l(d) be the third derivative of -8/15*d**5 + 0 + 0*d - 1/15*d**6 - 186*d**2 + 0*d**3 + 0*d**4 + 2/105*d**7. Solve l(y) = 0.
-2, 0, 4
Let s(g) be the second derivative of -g**7/63 + 2*g**6/15 - 3*g**5/10 - 2*g**4/9 + 4*g**3/3 - 93*g. What is u in s(u) = 0?
-1, 0, 2, 3
Solve -1/2*f**2 - 12 + 5*f = 0.
4, 6
Let z = -1810 - -1818. Suppose 5*t + z = 5*i - 7, 4*t - 2*i = -6. Let c**5 + 12/7*c**4 + 0 + 0*c - 4/7*c**3 + t*c**2 = 0. Calculate c.
-2, 0, 2/7
Let d be 6 + (-116)/66*(-87 + 0)/(-29). Solve 8/11*x + 4/11*x**2 + 2/11*x**4 - 6/11 - d*x**3 = 0.
-1, 1, 3
Let r = 476594 - 6195720/13. Let 24/13 - 56/13*i + 34/13*i**2 - 10/13*i**4 + r*i**5 + 6/13*i**3 = 0. Calculate i.
-2, 1, 2, 3
Suppose 11351*o + 5 = -13*f + 11355*o, 8 = -f + o. Let 0*n - 1/2*n**2 - 1/4*n**4 + 3/4*n**f + 0 = 0. What is n?
0, 1, 2
Let t(g) = -29*g - 285. Let d be t(-10). Suppose 3*s = d*r - 6, -2*r - 2*s = 7 - 19. Factor 2/3*u + 0 + 4*u**2 + 10/3*u**r.
2*u*(u + 1)*(5*u + 1)/3
Let z(r) be the first derivative of 8*r**5/25 - 49*r**4/10 + 112*r**3/5 - 151*r**2/5 + 56*r/5 - 91. Suppose z(h) = 0. What is h?
1/4, 1, 4, 7
What is z in 130 - 4580*z + 442 + 388*z**2 - 64*z**3 + 8796*z**2 = 0?
1/4, 143
Let t(y) be the first derivative of -y**6/15 + 82*y**5/25 - 39*y**4/10 - 82*y**3/15 + 8*y**2 + 481. Solve t(v) = 0.
-1, 0, 1, 40
Let j(s) = s**4 + s**2 + 4*s + 1. Let l(g) = 5*g**4 + 456*g**3 + 452*g**2 - 448*g - 451. Let z(y) = -2*j(y) + l(y). Find k, given that z(k) = 0.
-151, -1, 1
Let a(w) = -12*w**3 + 76*w**2 - 524*w + 476. Let n(v) = -14*v**3 + 77*v**2 - 523*v + 478. Let i(u) = -9*a(u) + 8*n(u). Factor i(k).
-4*(k - 5)*(k - 1)*(k + 23)
Let o(s) be the first derivative of -s**5/72 + 25*s**4/48 + 20*s**3/9 - 75*s**2/2 - 18. Let y(z) be the second derivative of o(z). What is x in y(x) = 0?
-1, 16
Determine f, given that -1/3*f**2 + 254/3*f - 415 = 0.
5, 249
Let -1/3*u**5 - 26/3*u**2 + 1/3*u**3 + 0*u + 0 + 26/3*u**4 = 0. What is u?
-1, 0, 1, 26
Determine o, given that 172/5*o + 308/5*o**3 - 58/5 + 528/5*o**2 + 2*o**4 = 0.
-29, -1, 1/5
Suppose 3*z = 2*w + 28, -z + 38 = 2*z - 4*w. Suppose z = 17*y - 14*y. Solve 2/9*p - 2/9*p**3 + 2/3 - 2/3*p**y = 0 for p.
-3, -1, 1
Let t(g) be the second derivative of -g**5/4 - 5*g**4/4 + 5*g**3/6 + 15*g**2/2 + 4*g - 91. Factor t(m).
-5*(m - 1)*(m + 1)*(m + 3)
Let a be (364/455)/(4/130). Suppose r - 30 = -a. Find n, given that n**2 + 1/4*n**r - 5/4 + 3/2*n**3 - 3/2*n = 0.
-5, -1, 1
Let w(p) be the second derivative of -4*p + 1/15*p**3 + 4 + 0*p**2 + 1/30*p**4. Factor w(c).
2*c*(c + 1)/5
Let 1/12*i**5 - 1/12*i**3 + 55/12*i**2 + 0 + 0*i - 55/12*i**4 = 0. Calculate i.
-1, 0, 1, 55
Let w = 681/7 + -2397/35. Let a(j) be the first derivative of -8*j + 49/10*j**4 + w*j**2 - 16 - 182/5*j**3. Factor a(x).
2*(x - 5)*(7*x - 2)**2/5
Suppose 207*j + 77*j - 1860 = -181*j. What is d in 15/7*d - 3/7*d**2 - 3/7*d**j + 6/7 + 6/7*d**5 - 3*d**3 = 0?
-1, -1/2, 1, 2
Factor 75*x**4 + 31*x**4 - 3*x**5 - 1084*x**3 - 5*x**3 - 7*x**4 + 3993*x**2.
-3*x**2*(x - 11)**3
Let p(m) be the third derivative of -m**8/1176 - 209*m**7/735 + 211*m**6/420 + 209*m**5/210 - 5*m**4/2 - 53*m**2 - 3*m + 13. Determine u so that p(u) = 0.
-210, -1, 0, 1
Let y be (-40)/(-32)*14 + (-15)/(-10). Suppose 2*j + 1 = q, q + 6*j - 2*j - 31 = 0. Factor 15*h - y*h**2 + 17*h + 7*h**3 - 49*h + q*h.
h*(h - 3)*(7*h + 2)
Factor 0 + 14*u**2 + 1/2*u**3 + 0*u.
u**2*(u + 28)/2
Let d be (12/24)/((-11)/(-66)). Suppose -2 - 10 = -3*r. Solve 4 + d*a**2 - r + 5*a - 1 - 1 = 0.
-2, 1/3
Factor -3*n**2 - 1/4*n**3 - 27/4*n + 0.
-n*(n + 3)*(n + 9)/4
Let y(h) = h**2 - 5*h + 4. Let n be y(5). Suppose 94*i = 33*i + 976. Suppose -12*p**2 + 20*p**3 + 87 - 47 - 68*p + i*p + 4*p**n = 0. What is p?
-5, -2, 1
Let i be ((-88)/(-132))/((-6)/(-45)). Let a = 24 + -20. Suppose 10/13*p**3 - 4/13*p**2 + 2/13*p**i + 0 - 8/13*p**a + 0*p = 0. What is p?
0, 1, 2
Suppose 12 = 3*o, -2*w + 2*o = -o + 4. Find k such that 15*k**2 + 11*k**4 - 96*k**5 - 34*k**2 - 123*k**w - 38*k**3 + 15*k**2 = 0.
-2/3, -1/4, 0
What is z in 44*z**5 + 3680*z + 10096*z**3 + 37 + 12992*z**3 - 337 - 5312*z**4 - 15364*z**2 + 212*z**5 = 0?
1/4, 5, 15
Suppose 5*t - 197 = -162. Suppose 2*v = t*v - 10. Let 339 - 331 + 0*a - 16*a**3 - 4*a**5 - 16*a**4 + 8*a**v + 20*a = 0. What is a?
-2, -1, 1
Let w(m) = 3*m**2 + m - 6. Let q be w(-2). Let x(v) be the third derivative of 0*v + 0 + 13*v**2 + 1/6*v**3 + 1/60*v**5 + 1/12*v**q. Let x(l) = 0. Calculate l.
-1
Let a be 350/(-425)*(-935)/385. Factor 0*n**a - 3/8*n + 3/8*n**3 + 0.
3*n*(n - 1)*(n + 1)/8
Let s be (-2)/4 + (-5)/(-2). Suppose 3*v = -3*w + 24, v + 18 = 12*w - 11 + 11. Solve -s + 0*z + 1/2*z**w = 0 for z.
-2, 2
Suppose 199 = 74*q - 97. Let t(y) be the second derivative of 24*y - 4/7*y**2 - 2/7*y**3 + 0 - 1/21*y**q. Factor t(d).
-4*(d + 1)*(d + 2)/7
Factor -281/3 - 1/6*c**3 - 94*c**2 - 375/2*c.
-(c + 1)**2*(c + 562)/6
Let f be (-29325)/(-24955) - 16/496. Determine w, given that -96/7 - f*w + 4/7*w**2 = 0.
-4, 6
Factor 231/4*u + 237/2 - 3/4*u**2.
-3*(u - 79)*(u + 2)/4
Let c(z) be the first derivative of -12/5*z**2 + 3/4*z**4 - 12/5*z + 7/5*z**3 + 5. Factor c(r).
3*(r - 1)*(r + 2)*(5*r + 2)/5
Let t(l) be the second derivative of l**4/54 - 19*l**3/27 - 20*l**2/9 + 5*l + 7. Suppose t(r) = 0. Calculate r.
-1, 20
Let a be (-4)/(-3 + (2 - 1)). Suppose 14*r - 10 = 18. Determine s so that 1 - s**r + 2*s**2 + 3 - 3 + a*s = 0.
-1
Let y be (505 - 497) + -1*5. Let j(l) be the first derivative of -6 - 32*l + 12*l**2 - 4/3*l**y. Determine k so that j(k) = 0.
2, 4
Solve 0 + 124/3*p**3 - 2/3*p**5 - 122/3*p - 40*p**2 + 40*p**4 = 0 for p.
-1, 0, 1, 61
Let o(t) be the first derivative of 1/12*t**3 - 2*t + 3 + 1/4*t**2. Factor o(h).
(h - 2)*(h + 4)/4
Suppose -69 = -26*j - 17. Solve 3/4*h**4 + 7*h**j - 19/4*h**3 + h - 4 = 0 for h.
-2/3, 1, 2, 4
Let z(u) = -u - 1. Let t(m) = 2*m + 10. Let x(w) = -t(w) - 3*z(w). Let f be x(9). Factor -4*n + 40*n**f - 3*n + 2*n.
5*n*(8*n - 1)
Let j(n) be the first derivative of 7*n**6/600 + 3*n**5/100 - n**4/10 - 2*n**3/15 + 42*n**2 - 24. Let o(l) be the second derivative of j(l). Factor o(s).
(s - 1)*(s + 2)*(7*s + 2)/5
Let b(g) be the third derivative of g**8/1176 - 551*g**7/735 + 7507*g**6/42 + 114263*g**5/105 + 229633*g**4/84 + 76729*g**3/21 - 450*g**2 - 7*g. Factor b(t).
2*(t - 277)**2*(t + 1)**3/7
Let r(q) = 16*q**3 - 10 - 45*q**2 - 77*q**2 + 400*q + 76*q + 24*q**2. Let b(u) = 5*u**3 - 33*u**2 + 159*u - 3. Let y(t) = -20*b(t) + 6*r(t). Factor y(x).
-4*x*(x - 9)**2
Let c(p) = -p + 5. Let g(n) = 9*n - 155. Let o(j) = -3*c(j) - g(j). Let v be o(23). Let -3/2*z + 0 + 3/4*z**v + 3/4*z**3 = 0. Calculate z.
-2, 0, 1
Let 9560*u + 17069048*u**2 - 2998114 - 17069053*u**2 - 1571566 = 0. Calculate u.
956
Let q(t) be the third derivative of t**5/180 - t**4/9 + 7*t**3/18 + 2*t**2 - 13. Let q(o) = 0. Calculate o.
1, 7
Let g(l) = -2*l**3 + l**2 - l - 4. Let n(s) = 10*s**3 - 1146*s**2 + 162452*s + 163608. Let f(v) = -4*g(v) - n(v). Factor f(i).
-2*(i - 286)**2*(i + 1)
Solve 5/4 + 11/4*l**2 - 3/4*l**3 + 19/4*l = 0.
-1, -1/3, 5
Let w(h) be the third derivative of h**8/84 - 46*h**7/105 - h**6/30 + 23*h**5/15 - 1173*h**2. Determine t, given that w(t) = 0.
-1, 0, 1, 23
Let h(k) be the first derivative of k**4/8 + 31*k**3/3 + 179*k**2/4 + 59*k - 1791. Determine m, given that h(m) = 0.
-59, -2, -1
Suppose 5*l - 2 = -x, 2*x + 10 = 7*x - 3*l. Solve 1536*w - 9*w**2 + 3*w**4 + 72*w**3 + 223*w**2 + 362*w**x = 0.
-8, 0
Let o be 1166 - (9 - (-12)/(-4)). Let m be (-1 - (-31)/(-5))/((-1218)/o). Factor 3/7*y**3 + m*y - 18/7*y**4 + 3/7*y**5 + 0 + 72/7*y**2.
3*y*(y - 4)**2*(y + 1)**2/7
Factor 2*q**2 - 13908*q - 1810831 + 24831492 + 188*q + 509139.
2*(q - 3430)**2
Let g be -2 + 28/12 - (-1)/(-3). Suppose 12*z - 24 + 0 = g. Determine x so that 32 + 44*x**2 + 7*x - 40*x**z + 17*x = 0.
-4, -2
Let l(q) = 12*q**3 - 346*q**2 - 21600*q - 432028. Let y(d) = d**3 + d**2 - 2. Suppose -9*f - v + 27 = -8*f, -5*v = 5. Let p(c) = f*y(c) - 2