*v**3 - 1/30*v**5 - 9*v**2 - 21*v + 5/12*v**4. Let c(h) be the first derivative of l(h). Solve c(m) = 0 for m.
0, 5
Let f(c) be the first derivative of -c**6/6 + 77*c**5/5 + 159*c**4/2 + 482*c**3/3 + 323*c**2/2 + 81*c - 371. Determine q, given that f(q) = 0.
-1, 81
Let l be (-41)/(-20) - -41*414/(-9430). Suppose 0 + 1/2*i - 1/4*i**3 - l*i**2 = 0. Calculate i.
-2, 0, 1
Let m = 119 - 47. Let v be m/(-9)*(-5 + (-1 - 0)). Factor -42*x**2 - v*x**3 - 3 - 178*x - 24*x**4 - 3*x**4 - 6*x**5 + 160*x.
-3*(x + 1)**4*(2*x + 1)
Let d be ((-235)/(-25))/(-4 + (-21)/(-5)). Suppose -d*h + 19*h = -140. Let 6/5*x**h - 4*x**3 + 4/5 + 0*x**2 - 4/5*x**4 + 14/5*x = 0. What is x?
-1, -1/3, 1, 2
Let u = -366059/60 + 6101. Let m(b) be the third derivative of 0*b - 1/30*b**5 + 0 + 5/6*b**4 + 14*b**2 - u*b**6 - 8/3*b**3. Factor m(z).
-2*(z - 2)*(z - 1)*(z + 4)
Let t be 8/12*17/2 - 9/(-9). Let f(p) be the third derivative of -t*p**3 - 1/3*p**4 - 28*p**2 - 1/150*p**5 + 0*p + 0. Factor f(z).
-2*(z + 10)**2/5
Find y, given that -2/9*y**3 - 80/3 - 88/9*y**2 - 326/9*y = 0.
-40, -3, -1
Find a, given that -7*a**2 - 758*a - 377*a + 8*a**2 - 947*a + 1083681 = 0.
1041
Let r(o) = 13*o**3 - 11*o**2 + 2. Let l be r(1). Solve 52/5*j + 4/5*j**5 - 4*j**l - 8/5*j**2 + 28/5 - 56/5*j**3 = 0.
-1, 1, 7
Let q be (12/15)/((-240)/(-150)). Let l(b) be the second derivative of 11*b + 0*b**2 + 0 + 3/40*b**5 + q*b**4 + 3/4*b**3. Factor l(h).
3*h*(h + 1)*(h + 3)/2
Let n = 9/13637 - -831794/95459. Solve -40/7*s + n*s**3 + 0 - s**4 - 122/7*s**2 = 0 for s.
-2/7, 0, 4, 5
Let s be (64/336)/((-4)/(-18))*-49. Let o be (-2)/(6/(s/7)). Determine q, given that -5/4*q**3 - o - 7*q - 11/2*q**2 = 0.
-2, -2/5
Let m(t) be the first derivative of t**4/18 - 64*t**3/27 - 44*t**2/9 + 3872*t/3 - 1673. Solve m(o) = 0 for o.
-12, 22
Suppose 7 = 3*g - 11. Suppose r = -2*v + 11, 0 = -6*r + r + 4*v - 1. Determine f, given that -g*f - r + 3*f**5 + 7*f + 8*f - 12*f**3 - 3 + 6*f**2 = 0.
-2, -1, 1
Let k(z) be the third derivative of 0 - 1/40*z**6 + 0*z - 278*z**2 + 0*z**3 - 1/10*z**5 + 1/70*z**7 + 0*z**4. Suppose k(v) = 0. What is v?
-1, 0, 2
Let m(k) be the first derivative of -k**7/280 + 3*k**5/40 - k**4/4 + 2*k**3/3 + 11*k**2/2 + 2. Let c(u) be the third derivative of m(u). Solve c(s) = 0.
-2, 1
Suppose -3*a - 1033 = 617. Let n = a + 3301/6. Factor 1/3*f - 1/6 - n*f**2.
-(f - 1)**2/6
Factor 90*x**2 - 35 - 3*x**4 + 98 - 87*x**3 - 63.
-3*x**2*(x - 1)*(x + 30)
Find o, given that -1503/7*o**3 - 4164/7*o - 1656/7 - 3/7*o**5 - 228/7*o**4 - 3786/7*o**2 = 0.
-69, -2, -1
Factor -44/9 - 2/9*o**2 - 26/9*o.
-2*(o + 2)*(o + 11)/9
Let s(x) be the second derivative of -7/80*x**5 + 0*x**2 - 1/12*x**3 + 1/60*x**6 + 2 - 8*x + 7/48*x**4. Suppose s(p) = 0. Calculate p.
0, 1/2, 1, 2
Let b(z) be the first derivative of 9*z**4/4 - 137*z**3 + 1299*z**2 + 912*z + 12292. Factor b(o).
3*(o - 38)*(o - 8)*(3*o + 1)
Suppose -5*l + 171 = 3*v, -3*l - 107 = -2*v - 12. Suppose -31*m - v = -57*m. Factor 1/2*r**2 + 1/2*r**3 - m*r - 2.
(r - 2)*(r + 1)*(r + 2)/2
Let -4286*f + 12993*f - 4284*f + 150 - 5*f**2 - 4358*f = 0. What is f?
-2, 15
Suppose 6*u + 1017 = 9*u + 3*s, 3*u + 4*s = 1019. Suppose 330*b**2 - 5 + 4*b + 11 - u*b**2 + b**3 + 6 = 0. What is b?
-1, 2, 6
Let r(n) be the second derivative of -n**6/150 + 19*n**5/100 - 7*n**4/30 - 158*n**3/15 - 204*n**2/5 - 4176*n. Factor r(s).
-(s - 17)*(s - 6)*(s + 2)**2/5
Let v(z) be the third derivative of -z**6/24 - 4*z**5 + 125*z**4/6 - z**2 + 2409*z. Factor v(j).
-5*j*(j - 2)*(j + 50)
Let p(y) = -820*y**2 - 5*y - 8. Let f be p(-3). Let u = 13964 + f. Determine s, given that -u + 1521*s + 6*s**3 - 10*s**3 - 117*s**2 + 7*s**3 = 0.
13
Let f(r) = r**2 - r - 1. Let p(m) = -1040*m**3 + 4180*m**2 - 4195*m + 5. Let h(o) = -15*f(o) + p(o). Suppose h(a) = 0. Calculate a.
1/208, 2
Let b(v) be the third derivative of -v**7/210 - v**6/60 + 8*v**5/15 - 5*v**4/4 - 21*v**3/2 + 951*v**2 - v. What is u in b(u) = 0?
-7, -1, 3
Suppose -5*u + 6836 = 3*j, 2*u = u - 4*j + 1374. What is s in 1370*s**4 + 16*s - 24*s**3 - 1 - 8*s**3 + 5 - 8*s**2 - u*s**4 + 16*s**5 = 0?
-1, -1/4, 1
Determine x, given that 765*x**2 + 149232375 - 585225*x - 1/3*x**3 = 0.
765
Let f be (-9)/(-4 - -1)*4/6. Determine x, given that 908 + 175 - 114*x + 3*x**2 + 0*x**f = 0.
19
Let 18 - 5*z**2 - 77/6*z - 1/6*z**3 = 0. Calculate z.
-27, -4, 1
Let c be 26/12 + 13338/156 + -85. Factor -2/3*r**2 + 2*r + c.
-2*(r - 4)*(r + 1)/3
Let d(k) be the third derivative of k**6/660 + 19*k**5/330 - 145*k**4/132 + 125*k**3/33 + 24*k**2 + 11. Determine o, given that d(o) = 0.
-25, 1, 5
Let b = 82259/575715 + -2/82245. Factor 11/7*y**2 + b*y**3 + 0*y + 0.
y**2*(y + 11)/7
Let j(u) be the third derivative of u**6/480 + 13*u**5/48 + 283*u**4/48 + 110*u**3/3 - 4296*u**2 + u. Find b, given that j(b) = 0.
-55, -8, -2
Suppose -4*n = 51 - 71. Suppose n*c + 5*q - 8 = 17, 0 = -2*c + 4*q - 8. Factor 0 + 0*h + 1/6*h**c.
h**2/6
Let h(x) = -x**2 - 2*x - 3. Let k(q) = 7*q**2 + 291*q - 178. Let d(y) = 20*h(y) + 5*k(y). Find t, given that d(t) = 0.
-95, 2/3
Let v = 1118211/16310 + -1113/466. Let x = v + -459/7. Factor 0 - 12/5*t**2 + 6/5*t**4 + x*t**5 + 12/5*t - 9/5*t**3.
3*t*(t - 1)**2*(t + 2)**2/5
Let k(a) be the first derivative of 22/3*a + 1/6*a**2 + 171 - 1/12*a**4 - 22/9*a**3. Solve k(g) = 0 for g.
-22, -1, 1
Let y(u) be the first derivative of -2*u**2 + 32*u - 5/4*u**4 - 8*u**3 - 107 + 1/5*u**5. Factor y(s).
(s - 8)*(s - 1)*(s + 2)**2
Let 0*h + 3/2*h**2 - 1/2*h**4 + 0 + h**3 = 0. Calculate h.
-1, 0, 3
Suppose 0 = 2*i - 2*t - 18, -19*i - 2*t + 22 = -17*i. Let l be (4 - i)*(0 - (-1)/(-2)). What is s in -1/3*s**l + 0*s + 0 + 0*s**2 = 0?
0
Solve 0 + 9*z - 33*z**2 + 7/4*z**4 + 19/4*z**3 = 0 for z.
-6, 0, 2/7, 3
Let f(x) = -x**2 - 111*x - 425. Let u be f(-4). Let r(a) be the first derivative of -4/15*a**3 + u - 1/10*a**4 + 0*a + 0*a**2. Factor r(p).
-2*p**2*(p + 2)/5
Let m(v) be the first derivative of -6/5*v - 11/10*v**2 - 2/25*v**5 + 8/15*v**3 + 11/20*v**4 - 51. Suppose m(j) = 0. What is j?
-1, -1/2, 1, 6
Let d = -1611102/7 - -230158. Suppose 3*m = -0*m. Let 8/7*z**3 + m + 10/7*z**2 - 6/7*z**4 - d*z = 0. Calculate z.
-1, 0, 1/3, 2
Let o = -75756 - -222913/3. Let r = 1452 + o. Determine d so that 4/9*d - r - 1/9*d**2 = 0.
1, 3
Suppose 3*v - 6 = 0, 2*o + 6*v = 3*v - 2. Let s be 5 - ((-5 - o) + 4). Find b, given that 33/2*b - 57/8*b**s + 9/2 + 63/8*b**5 - 87/8*b**4 - 303/8*b**3 = 0.
-1, -2/7, 2/3, 3
Let y(z) be the third derivative of 1/48*z**4 + 1/2016*z**8 - 103*z**2 - 1/180*z**6 + 1/180*z**5 - 1/630*z**7 + 0*z + 0*z**3 + 0. Let y(o) = 0. What is o?
-1, 0, 1, 3
Let t(a) be the second derivative of -a**6/90 - 73*a**5/60 + a**4/36 + 73*a**3/18 + 5*a + 81. Let t(m) = 0. What is m?
-73, -1, 0, 1
Let t(h) be the third derivative of -14/33*h**3 + 1/330*h**6 - 1/4*h**4 - 3/110*h**5 - 5 + 0*h + 3*h**2. Determine z so that t(z) = 0.
-2, -1/2, 7
Let s(d) = -d**2 - 2*d. Let m(p) = 6*p**2 + 14*p - 5. Let r(l) = -l**2 + 14*l - 50. Let y be r(7). Let j(i) = y*m(i) - 5*s(i). Suppose j(t) = 0. Calculate t.
-5, 1
Let p(r) be the first derivative of 3*r**6/160 + 19*r**5/40 - 13*r**4/32 - r**2 + 4*r - 51. Let a(b) be the second derivative of p(b). Let a(k) = 0. What is k?
-13, 0, 1/3
Let i = 21 - 17. Suppose -3*y + 382 - 409 = 4*k, -4*k - 5*y - 45 = 0. Find x such that 2/11*x**3 - 2/11*x + k - 2/11*x**2 + 2/11*x**i = 0.
-1, 0, 1
Let g = -3572 - -32158/9. Suppose -4*f - 12 = -24. Suppose 0 + g*l**2 + 2/9*l**f - 2/9*l**4 + 2/3*l = 0. What is l?
-1, 0, 3
Determine j so that 64/19*j + 0*j**2 - 2/19*j**5 + 18/19*j**4 - 44/19*j**3 + 0 = 0.
-1, 0, 2, 4
Suppose -246*w - 3 = -251*w - 2*m, -2*w - 4*m - 34 = 0. Find q such that w + 1/4*q**2 - 9/4*q = 0.
4, 5
Let -1210 + 330287*q**2 - 3502*q - 625*q**3 - 332732*q**2 - 3*q**4 - 2*q**4 + 467*q = 0. What is q?
-121, -2, -1
Let k(r) be the second derivative of 3*r**5/20 + 135*r**4/2 + 18225*r**3/2 - 3*r - 51. Factor k(s).
3*s*(s + 135)**2
Suppose -y - m - 3 = -5, 5*y = 2*m - 18. Let d be y/(4/10 - (-28)/(-45)). Factor -236 + 40*i + d*i**2 - 10*i + 212.
3*(i + 4)*(3*i - 2)
Let t be ((-5215)/15645)/(1*4/(-2)). Factor 2/3*o**3 + 1/2*o**2 + 0 - t*o.
o*(o + 1)*(4*o - 1)/6
Factor 1051*f**2 - 2457*f**3 + 115*f + 4987*f**3 - 845*f**5 + 1845*f**5 - 4700*f**4 + 4.
(f - 4)*(f - 1)*(10*f + 1)**3