j + 6)**2/4
Let s(f) be the second derivative of -1/49*f**7 - 24/7*f**5 + 0*f**3 + 0*f**2 + 32/7*f**4 + 17/35*f**6 - 73*f - 2. Factor s(a).
-6*a**2*(a - 8)**2*(a - 1)/7
Suppose -2/15*u**2 + 94/15*u - 344/15 = 0. What is u?
4, 43
Let j = 1566888/55 - 28488. Let w = -38/55 + j. Solve 98/11 + w*i**2 - 28/11*i = 0 for i.
7
Find u such that -85*u**4 - 805*u + 353 - 950*u**2 - 5*u**5 - 995 + 397 - 470*u**3 = 0.
-7, -1
Let d(y) = -11*y**2 - 89*y + 5. Let t(x) = -62*x**2 - 490*x + 28. Let u(b) = -28*d(b) + 5*t(b). Factor u(l).
-2*l*(l - 21)
Let a(g) be the second derivative of 3*g**5/20 + 13*g**4/2 + 102*g**3 + 756*g**2 + 556*g. Factor a(f).
3*(f + 6)**2*(f + 14)
Let t(n) = -15*n + 4. Let o be t(-3). Determine u so that -5*u**5 - o*u**3 + 21*u**4 + 35*u**3 - 13*u**5 + 13*u**4 - 2*u**2 = 0.
-1/9, 0, 1
Let m(j) be the second derivative of -2*j**7/63 + 32*j**6/135 - 28*j**5/45 + 16*j**4/27 + j + 99. Factor m(s).
-4*s**2*(s - 2)**2*(3*s - 4)/9
Let t(g) be the second derivative of -g**7/42 + 2*g**6/15 + 7*g**5/5 + 8*g**4/3 + 705*g. Factor t(a).
-a**2*(a - 8)*(a + 2)**2
Let b be (12771/3311)/((-10)/35*8 - -3). Factor 3/5*s**4 - 99/5*s**2 - b*s**3 - 36/5 - 21*s.
3*(s - 12)*(s + 1)**3/5
Let f = 6079/6 - 1013. Let j(k) be the second derivative of -f*k**4 - 1/18*k**5 - 2/9*k**2 + 9*k - 7/27*k**3 + 0 - 1/135*k**6. Solve j(r) = 0.
-2, -1
Suppose -4*c**3 + 0*c**3 + 26*c**2 + 82*c + 3*c**3 - 306*c - 85*c**2 - 220 = 0. Calculate c.
-55, -2
Determine v so that -48/5*v**2 + 16/5*v**3 + 0 + 0*v + 4/5*v**5 + 28/5*v**4 = 0.
-6, -2, 0, 1
Let y(l) be the second derivative of -l**7/1890 + 13*l**6/540 - 2*l**5/15 - 3*l**4/2 + 15*l - 1. Let w(p) be the third derivative of y(p). Solve w(t) = 0 for t.
1, 12
Let 8*d**3 + 12*d**3 + 76*d - 175*d - 21*d**3 + 40*d**2 + 60*d = 0. What is d?
0, 1, 39
Let n(j) be the first derivative of -j**3/12 + 7*j**2/2 - 40*j + 3006. Factor n(s).
-(s - 20)*(s - 8)/4
Let x(s) be the third derivative of 0*s - 11/120*s**5 + 0 - 1/24*s**4 - 1/105*s**7 + 126*s**2 + 0*s**3 - 13/240*s**6. Factor x(j).
-j*(j + 1)*(j + 2)*(4*j + 1)/2
Let g(y) be the second derivative of y**7/14 - 4*y**6/25 - 27*y**5/100 + 2*y**4/5 + 2*y**3/5 + 131*y + 4. Solve g(r) = 0.
-1, -2/5, 0, 1, 2
Let h(r) = 15*r**2 - 273*r + 1357. Let k(y) = 7*y**2 - 130*y + 678. Let z(i) = -6*h(i) + 13*k(i). Solve z(a) = 0.
24, 28
Factor -1377746 + 110246 + 1855*h - 2827*h - 2928*h - 3*h**2.
-3*(h + 650)**2
Let x(a) = -a**3 - 64*a**2 + 143*a - 162. Let c(d) = -13*d**2 + 2*d - 1. Let m(o) = -7*c(o) + x(o). Find i such that m(i) = 0.
-5, 1, 31
Let n(q) = 21*q**2 + 28*q - 6*q**3 + q - 11*q + 2*q + 8. Let i(a) = -4*a**3 + 20*a**2 + 20*a + 8. Let o(t) = -5*i(t) + 4*n(t). Find s such that o(s) = 0.
-2, -1
Let m(z) be the third derivative of z**8/8960 - z**7/840 - z**6/192 - 37*z**4/8 - 124*z**2. Let p(b) be the second derivative of m(b). Factor p(q).
3*q*(q - 5)*(q + 1)/4
Let n be ((-24)/(-10))/((-10)/(-3775)). Solve -n + h**2 + 5*h - 2*h**2 + 902 = 0 for h.
1, 4
Let y(u) = u**2 + 15*u - 83. Let j be y(-20). Factor -j*l**2 + 11*l**2 + 68 + 38*l + 2*l**2 + 6*l**2.
2*(l + 2)*(l + 17)
Let k = -490 + 522. Suppose -k = 35*r - 102. Factor -20/7*l - 2/7*l**r + 0.
-2*l*(l + 10)/7
Find s, given that 21/4*s**2 - 3/4*s**3 - 21/4*s**4 + 3/4*s**5 + 0*s + 0 = 0.
-1, 0, 1, 7
Let p(q) be the second derivative of -2*q**6/45 - q**5/15 + q**4/3 + 2*q**3/9 - 4*q**2/3 + q + 244. Suppose p(r) = 0. What is r?
-2, -1, 1
Let a = 220/793 + 2512/2379. Factor -1/3*r**2 - 2/3*r**3 + a + 8/3*r.
-(r - 2)*(r + 2)*(2*r + 1)/3
Let s = 43569 + -43567. Let l(b) be the third derivative of 0 - 1/15*b**5 + 20/3*b**3 - 24*b**s + 0*b + 3/2*b**4. Factor l(k).
-4*(k - 10)*(k + 1)
Let v(w) = -3*w**3 + 26*w**2 + 8. Let a(k) = 5*k**2 + 4*k - 6. Let x(u) = -u**2 - u + 1. Let z(n) = -a(n) - 4*x(n). Let b(y) = v(y) - 4*z(y). Factor b(j).
-3*j**2*(j - 10)
Let n(f) be the first derivative of f**6/24 - 13*f**5/12 + 5*f**4/2 + 36*f**2 + 50. Let d(g) be the second derivative of n(g). Determine r, given that d(r) = 0.
0, 1, 12
Let u(x) be the second derivative of 0 + 1/30*x**5 + 1/180*x**6 - 4/9*x**3 + 0*x**4 + 7*x - x**2. Let c(b) be the first derivative of u(b). Factor c(v).
2*(v - 1)*(v + 2)**2/3
Let h = 299/594 + -1/297. Determine t, given that h*t + 1/4*t**2 + 1/4 = 0.
-1
Let w(i) be the second derivative of 5*i + 16/9*i**3 - 4/3*i**2 + 0 - 29/72*i**4 + 7/240*i**5. Factor w(q).
(q - 4)**2*(7*q - 2)/12
Suppose -258*s + 4 = -257*s. Factor 774*z**4 + 0*z**2 - 6*z - 773*z**4 + s*z**3 + z**2.
z*(z - 1)*(z + 2)*(z + 3)
Let a(q) = 47*q**2 + 327*q - 677. Let d(j) = 17*j**2 + 109*j - 226. Let m(y) = 12*a(y) - 33*d(y). Determine o, given that m(o) = 0.
-111, 2
Let o = -148548 + 148552. Factor 2/3*q + 2*q**5 + 0 + 8*q**3 - 20/3*q**o - 4*q**2.
2*q*(q - 1)**3*(3*q - 1)/3
Let v = -13352 - -13373. Let f(c) be the first derivative of -1/16*c**4 + 3/8*c**2 + 0*c - v - 1/6*c**3. Find i such that f(i) = 0.
-3, 0, 1
Suppose -28 = -4*r + 4*k, 2*r + 3*k = 2*k - 1. Factor 6*l**4 + 9*l**4 + 324 - 169*l + 184*l**r - 11*l**4 - 407*l + 74*l**3 - 10*l**3.
4*(l - 1)**2*(l + 9)**2
Let -30/7 - 3/7*v**4 - 9/7*v + 9/7*v**3 + 33/7*v**2 = 0. Calculate v.
-2, -1, 1, 5
Let j(f) = 5*f**3 + 68*f**2 + 243*f. Let u(a) = a**3 + a. Let w(n) = -j(n) + 3*u(n). Solve w(z) = 0 for z.
-30, -4, 0
Let c(l) be the third derivative of -l**6/24 + 79*l**5/4 + 405*l**4 + 9800*l**3/3 - 1969*l**2. Let c(v) = 0. Calculate v.
-4, 245
Let y = -32483 - -194899/6. Let a(m) be the second derivative of 4*m + 0 + 1/48*m**4 - y*m**3 + 0*m**2. Suppose a(l) = 0. What is l?
0, 4
Let h(m) be the second derivative of -m**7/147 - m**6/21 + m**5/5 - m**4/21 - 13*m**3/21 + m**2 - m + 1582. Let h(j) = 0. Calculate j.
-7, -1, 1
Let x(d) be the first derivative of 356445*d**4/4 + 1780*d**3 + 10*d**2 - 8309. Find o such that x(o) = 0.
-2/267, 0
Suppose -252 + 9*i**5 - 78*i**3 - 211*i**4 - 312*i**2 + 573*i + 454*i**4 - 183*i**4 = 0. What is i?
-7, -3, 1, 4/3
Let k(h) be the first derivative of h**5/12 - 5*h**4/18 - 35*h**3/18 - 10*h**2/3 + 23*h + 68. Let i(o) be the first derivative of k(o). Factor i(y).
5*(y - 4)*(y + 1)**2/3
Suppose 0 = -14*v + 84791 - 84763. Factor -48/11*t + 2/11*t**v + 0.
2*t*(t - 24)/11
Let z = 16 - 21. Let t(b) = 2*b**2 + 25*b - 2. Let c(o) = -3*o**2 - 37*o + 5. Let w(u) = z*c(u) - 7*t(u). Factor w(j).
(j - 1)*(j + 11)
Determine g, given that 0 + 46/5*g**2 + 2/5*g**3 + 44/5*g = 0.
-22, -1, 0
Let c(w) = 26*w**2 - 23478*w + 23622. Let y(p) = -6*p**2 + 5872*p - 5906. Let q(i) = 4*c(i) + 17*y(i). Solve q(j) = 0 for j.
-2957, 1
Suppose -27*n - 27*n = -n. Let y(r) be the third derivative of 37*r**2 - 1/180*r**5 + 0*r**3 + n*r + 0 - 1/48*r**4. Factor y(h).
-h*(2*h + 3)/6
Let x(i) be the second derivative of i**4/20 - 7*i**3/2 + 2*i - 1004. What is d in x(d) = 0?
0, 35
Let j(c) = 2*c**3 - 13*c**2 + 10*c + 40. Let t(n) = n**3 - 4*n**2. Let v(k) = -j(k) - 3*t(k). Let v(m) = 0. Calculate m.
-1, 2, 4
Let j(i) = 3*i**2 + 13*i - 2. Let p(m) = -m**2 - 4*m + 1. Let x be ((-2)/(-6))/((-2)/(-12)). Let v = -12 - x. Let r(z) = v*p(z) - 4*j(z). Factor r(k).
2*(k - 1)*(k + 3)
Let 0 - 14*s - 3/2*s**3 - 22*s**2 = 0. What is s?
-14, -2/3, 0
Solve -388/3 + 64*l + 1/3*l**2 = 0 for l.
-194, 2
Let g(w) be the first derivative of 3*w**4/4 + 3*w**3 - 216*w**2 - 2496*w + 866. Determine t so that g(t) = 0.
-8, 13
Find b such that 22*b**5 + 864*b - 23*b**5 + 2382*b**3 + 477*b**4 + 10*b**5 - 3744*b**2 + 3*b**5 + 9*b**5 = 0.
-12, 0, 2/7, 1
Let -225*y**3 + 503*y**2 - 3453 - 68*y**2 - 215*y + 3453 + 5*y**4 = 0. What is y?
0, 1, 43
Let f(n) be the second derivative of 0*n**2 + 7*n + 1/2*n**3 - 5/6*n**4 + 8 + 9/20*n**5 - 1/15*n**6. Factor f(c).
-c*(c - 3)*(c - 1)*(2*c - 1)
Let a(f) be the third derivative of 5*f**8/1344 - f**6/32 + f**5/24 - 979*f**2. Let a(c) = 0. Calculate c.
-2, 0, 1
Let f(x) be the third derivative of x**5/240 - 377*x**4/48 + 142129*x**3/24 + 6*x**2 + 3. Factor f(h).
(h - 377)**2/4
Let n = -76 + 212. Solve -5*q**5 + 87*q**3 + 69*q**3 + 15*q**4 + 2*q - n*q**3 - 2*q - 80*q**2 + 80 = 0.
-2, -1, 2
Let l(v) = 2*v**2 - 2*v + 13. Let w be l(0). Let -13*q**2 - w*q**2 - 26*q - 20 + 36*q**2 - 14*q**2 + 2*q**3 = 0. Calculate q.
-2, -1, 5
Factor 66*x + 0 + 65*x**3 - 107*x**3 - 180 + 40*x**3 + 4*x**2.
-2*(x - 5)*(x - 3)*(x + 6)
Let f