d derivative of l**5/210 + 11*l**4/42 + l**3 + 10*l**2 + 33*l - 1. Let j(y) be the first derivative of m(y). Factor j(b).
2*(b + 1)*(b + 21)/7
Let q(y) be the first derivative of y**3/12 + 149*y**2/8 + 429*y/2 + 4811. Factor q(w).
(w + 6)*(w + 143)/4
Let o(s) = 12*s**2 + 263*s. Let l be o(0). Solve 0 + 40/3*i**4 - 1/3*i**5 + l*i - 400/3*i**3 + 0*i**2 = 0 for i.
0, 20
Let d(w) = -6*w**2 + 550*w + 444. Let l(y) = 4*y**2 - 364*y - 296. Let a(b) = 9*d(b) + 14*l(b). Factor a(f).
2*(f - 74)*(f + 1)
Let u = 861 - 917. Let q be (-140)/u*(-12)/10 + 3. Solve -2/7*r**3 + 2/7*r**2 + 4/7*r + q = 0 for r.
-1, 0, 2
Let c be (0 + (-1 - 9))*(-544)/68. Solve -440*m**4 + c*m**5 + 415*m + 314*m**2 + 576*m**2 + 34 + 16 + 5*m**3 = 0.
-1, -1/4, 2, 5
Factor 240*l - 21*l**2 - 56 + 56 - 5*l**3 + 12*l**2 - 31*l**2.
-5*l*(l - 4)*(l + 12)
Suppose -1/2*d**4 - 3/2*d**3 - 5/2*d + 9/2*d**2 + 0 = 0. Calculate d.
-5, 0, 1
Let g(r) be the second derivative of -24*r - 1/10*r**4 - 2/15*r**3 + 0 - 2*r**2 - 1/25*r**5 - 1/150*r**6. Let x(t) be the first derivative of g(t). Factor x(v).
-4*(v + 1)**3/5
Let d(h) = 9*h - 8*h**2 + h - 355 + 368 - h**3. Let w be d(-9). What is y in 4*y**w + 16 + 715*y**2 + 3 - 3 - 735*y**2 = 0?
-2, -1, 1, 2
Let a(l) be the second derivative of -l**5/15 + 625*l**4/36 - 4082*l**3/3 + 1014*l**2 + 208*l + 1. Factor a(m).
-(m - 78)**2*(4*m - 1)/3
Let t(x) be the third derivative of x**5/30 - 143*x**4/12 + 94*x**3 + 113*x**2. Factor t(z).
2*(z - 141)*(z - 2)
Let k = 206 + -203. Let w(h) be the first derivative of 1/3*h**5 + 25 + 5/4*h**4 + 0*h**2 + 0*h**k + 0*h. Factor w(r).
5*r**3*(r + 3)/3
Let l = -254762 - -509525/2. What is h in -1/8*h**5 + 0*h + 0 - 1/4*h**2 - 5/8*h**3 - l*h**4 = 0?
-2, -1, 0
Let p(q) be the first derivative of 62 - 1/5*q**5 + 0*q**2 - 1/2*q**4 + 0*q + q**3. Factor p(g).
-g**2*(g - 1)*(g + 3)
Let g = -113 + 61. Let k = g + 60. Factor 23*n + k*n**2 + 14*n**3 - 18*n**3 - 27*n.
-4*n*(n - 1)**2
Suppose 9*h**2 + 28 - 74 + 45*h + 21 + 35 + 26*h**2 = 0. What is h?
-1, -2/7
Factor -59*t**5 + 63*t**5 + 84*t**4 + 90*t - 88*t**3 - 90*t.
4*t**3*(t - 1)*(t + 22)
Let h(q) = 20*q**3 + 55*q**2 + 25*q - 13. Let b(p) = -13 + 25*p + 1 - 117*p**2 + 20*p**3 + 172*p**2. Let g(x) = 3*b(x) - 2*h(x). Solve g(v) = 0.
-2, -1, 1/4
Factor -2/7*p**2 - 178766 - 452*p.
-2*(p + 791)**2/7
Let j(i) be the second derivative of -2/45*i**6 + 2/3*i**2 - 7/9*i**3 - 1/15*i**5 + 4/9*i**4 + 1/63*i**7 - 5 - 2*i. Let j(x) = 0. Calculate x.
-2, 1
Let y(u) be the second derivative of -24*u**2 - 67*u - 1/10*u**6 + 0 + 3/4*u**4 + 6/5*u**5 - 11*u**3. Factor y(i).
-3*(i - 8)*(i - 2)*(i + 1)**2
Let s(x) be the second derivative of x**7/14 - 11*x**6/2 + 477*x**5/20 - 157*x**4/4 + 26*x**3 + 7874*x. What is o in s(o) = 0?
0, 1, 52
Let j = -760 - -763. Let l(n) be the second derivative of -3/20*n**5 + 0 + 1/2*n**j - 15*n + 0*n**2 + 0*n**4. Let l(b) = 0. Calculate b.
-1, 0, 1
Suppose -2*t - 2*j - 4 = 0, 6*t - 2*t = 4*j + 24. Factor -v**2 + 36 + 29*v**t - 32*v**2 + 32*v.
-4*(v - 9)*(v + 1)
Let r(i) be the first derivative of -2*i**5/35 - 36*i**4/7 - 2864*i**3/21 - 4896*i**2/7 - 9248*i/7 + 5233. Let r(g) = 0. What is g?
-34, -2
Let q(g) = 2*g + 5. Let z be q(21). Factor -71 + l**5 - 2 + z*l**2 + 79*l**3 + 38 - 29 + 17*l**4 - 80*l.
(l - 1)*(l + 1)**2*(l + 8)**2
Solve 24*g + 320/3 - 2/3*g**2 = 0.
-4, 40
Let p = -190028/639 - -21130/71. Find a, given that -26/9*a - 80/9 - p*a**2 = 0.
-8, -5
Let s(f) be the first derivative of -f**3 - 1/10*f**5 + 0*f**2 - 19 - 29*f - 2/3*f**4. Let k(j) be the first derivative of s(j). Factor k(u).
-2*u*(u + 1)*(u + 3)
Let j(y) = y**3 - 19*y**2 - 20*y. Let d be j(20). Suppose 4*u - 1 - 11 = d. Suppose 4*z - 15*z**3 + z**u - z**4 + z**2 + 10*z**3 = 0. What is z?
-4, -1, 0, 1
What is j in -336/13 - 282/13*j**2 + 30/13*j**3 + 2/13*j**4 - 646/13*j = 0?
-21, -1, 8
Let s = 11947/45100 - 168/11275. Find h, given that -s*h**2 + 67/8*h + 17/4 = 0.
-1/2, 34
Let n(a) be the second derivative of a**4/30 + 216*a**3/5 - 649*a**2/5 - 3088*a - 2. Factor n(q).
2*(q - 1)*(q + 649)/5
Factor -224/3*o + 19/6*o**4 - 22*o**3 - 1/6*o**5 + 0 + 200/3*o**2.
-o*(o - 7)*(o - 4)**3/6
Let x be (60/(-75))/((-2)/(-95)). Let c = 43 + x. Solve -1 + 41*t - 46*t + 1 - c*t**2 = 0 for t.
-1, 0
Let o(s) = -9*s**3 + 5*s**2 + 69*s - 121. Let i(y) = 4*y**3 + y + 1. Let j(k) = -i(k) - o(k). Find g such that j(g) = 0.
-4, 2, 3
Let a(n) be the third derivative of n**6/180 - 121*n**4/12 + 2662*n**3/9 - 1027*n**2. Factor a(y).
2*(y - 11)**2*(y + 22)/3
Suppose 0*s = s - 2*w, 80*s + w - 14 = 77*s. Find d such that 4/7*d**5 + 320/7 - 160/7*d**2 + 20/7*d**s - 32/7*d**3 + 64/7*d = 0.
-5, -2, 2
Let f be (-55)/2*(-3)/((-3)/(-2)). Suppose 24*l**2 - 55 - f*l**2 - 17*l + 26*l**2 + 77*l = 0. What is l?
1, 11
Factor 377*q**2 - 186*q**2 - 308*q - 1325 + 18*q - 196*q**2.
-5*(q + 5)*(q + 53)
Let i(x) = -66*x**2 + 300*x - 495. Let h(p) = 5*p**2 - 23*p + 38. Suppose 28*l - 76 = -10*l. Let f(u) = l*i(u) + 27*h(u). Solve f(s) = 0.
3, 4
Let y = 113 + -86. Suppose 0 = 2*q - 35 + y. Factor d**3 - 6*d - 9*d**2 - 512*d**q + 503*d**4 + 23*d**3.
-3*d*(d - 2)*(d - 1)*(3*d + 1)
Let r = 733 + -495. Let h be (3/(-21))/((-34)/r). Factor h - 5/4*l + 1/4*l**2.
(l - 4)*(l - 1)/4
Suppose -8 = -3*g + 4*r - 7, 8 = -4*g + 3*r. Let u(a) = 2*a**3 - 3*a**2 + 1. Let i(y) = y**3 + 33*y**2 - 64*y + 5. Let h(t) = g*u(t) + i(t). Factor h(d).
-d*(3*d - 8)**2
Let b(i) = -i**3 + 3*i**2 + 65*i - 114. Let c(k) = k**3 - 5*k**2 - 64*k + 116. Let a(v) = 6*b(v) + 5*c(v). Factor a(q).
-(q - 4)*(q - 2)*(q + 13)
Solve 36*p + 6*p**4 + 9*p**2 + 14*p**2 + 4*p**5 - 15*p**4 - 60*p**3 + 27*p**2 - 21*p**4 = 0 for p.
-2, -1/2, 0, 1, 9
Suppose 2*a - 5*g = 31 + 20, 3*g - 167 = -4*a. Factor -38 + 4*r**3 + 5*r**3 - 11*r**3 - 3*r**3 + 2*r + 3*r**3 + a*r**2.
-2*(r - 19)*(r - 1)*(r + 1)
Let k = -882 - -882. Suppose k*x = -o - 4*x - 2, 7 = 2*o - 3*x. Let -178/11*h**3 + 0 + 128/11*h**o + 8*h**4 - 24/11*h - 14/11*h**5 = 0. Calculate h.
0, 2/7, 1, 2, 3
Suppose -23 = -6*s - 17. Let i be 780/(-270) + s + 2. Let 0 + 7/9*u**3 + 1/3*u**4 + 5/9*u**2 + i*u = 0. Calculate u.
-1, -1/3, 0
Suppose 145*f + 104 = -329 + 868. Let -2/11*h**5 + 0*h + 6/11*h**f + 0*h**2 + 0 - 4/11*h**4 = 0. Calculate h.
-3, 0, 1
Let p(z) be the second derivative of -z**7/56 - 7*z**6/18 + 137*z**5/24 - 65*z**4/4 - 19*z**3/2 + 213*z. Let c(f) be the second derivative of p(f). Factor c(d).
-5*(d - 3)*(d + 13)*(3*d - 2)
Let a(g) = -19*g**3 - 179*g**2 + 9*g + 184. Let x(f) = 16*f**3 + 180*f**2 - 8*f - 184. Let w(d) = -4*a(d) - 5*x(d). Solve w(t) = 0.
-46, -1, 1
Let g(p) = 22*p**3 - 83*p**2 + 135*p + 20 - 35 - 57 + p**4. Let w(s) = -5*s**4 - 88*s**3 + 331*s**2 - 539*s + 288. Let t(y) = -26*g(y) - 6*w(y). Factor t(v).
4*(v - 4)*(v - 3)**2*(v - 1)
Let a(h) be the first derivative of -h**4/12 + 109*h**3/9 - 160*h**2/3 + 212*h/3 + 1227. Factor a(b).
-(b - 106)*(b - 2)*(b - 1)/3
Let -6554*u**4 + 6557*u**4 - 75*u**2 - 63*u + u**3 - 10*u**3 = 0. Calculate u.
-3, -1, 0, 7
Let g = -732605 + 2930421/4. Solve 13/2 + g*k**2 - 15/4*k = 0.
2, 13
Let u(t) be the third derivative of t**6/15 - 37*t**5/45 - 2*t**4 + 14*t**3/9 - 4243*t**2. Determine q so that u(q) = 0.
-1, 1/6, 7
Let k(m) be the first derivative of m**7/5460 + 2*m**6/585 + 4*m**5/195 - 10*m**3/3 + 34. Let o(r) be the third derivative of k(r). Factor o(l).
2*l*(l + 4)**2/13
Suppose -3*v + 2*a + 2 = 3*a, 2*v + a = 0. Let x be ((-555)/10)/((-12)/8) + 1. Factor -404 + 821 - 405 - 14*b**v + x*b.
-2*(b - 3)*(7*b + 2)
Let r(y) be the first derivative of -y**5/5 + 5*y**4/3 - 16*y**3/3 + 8*y**2 + 41*y + 66. Let x(z) be the first derivative of r(z). Find w such that x(w) = 0.
1, 2
Let x be (3/9*0 - -5) + 0. Suppose a - 26*z + 24*z = 4, 10 = -3*a - x*z. Factor 1/2*n + a + n**2 + 0*n**3 - 1/2*n**5 - n**4.
-n*(n - 1)*(n + 1)**3/2
Solve -136*b**2 + 200/3*b**3 + 0*b + 2/3*b**4 + 0 = 0.
-102, 0, 2
Solve -3/8*t**3 - 129/8*t**2 - 27/2*t + 189/2 = 0.
-42, -3, 2
Let u(p) be the third derivative of -p**8/420 - p**7/105 - p**6/90 - 33*p**3 + 3*p**2 + 5. Let j(t) be the first derivative of u(t). Factor j(w).
-4*w**2*(w + 1)**2
Let v(w) be the second derivative of -2*w**7/273 + 17*w**6/195 - 9*w**5/65 - 71*w**4/78 - 10*w**3/39 + 24*w**2/13 + w + 1. Let v(m) = 0. What is m?
-1, 1/2, 4, 6
Suppose 5*b - 