l. Suppose -l*n + 10 = -68*n. Solve 8/9 + 8/9*h + 2/9*h**n = 0 for h.
-2
Let g be (-324)/42 + 2 - 8/28. Let f be (-576)/216 + (-16)/g. Let f + 2/3*m**2 - m + 1/3*m**3 = 0. What is m?
-3, 0, 1
Let u be (2/4)/(7/98). Let q be u*((-36)/21 - -2). Let k**2 - 5 - 1 + q + 3 = 0. Calculate k.
-1, 1
Let l(y) be the second derivative of y**6/195 - 84*y**5/65 + 477*y**4/26 - 8892*y. Determine u so that l(u) = 0.
0, 9, 159
Let j(i) be the third derivative of -11*i**5/120 - 23*i**4/24 - 35*i**3/12 - 2066*i**2. Solve j(k) = 0 for k.
-35/11, -1
Factor 252/11 + 2*f - 2/11*f**2.
-2*(f - 18)*(f + 7)/11
Let q be (-16)/(1 - -3) - -1. Let o = -1 - q. Solve o - 8*f + 5*f**3 + 6*f - 3*f**3 - 2*f**2 = 0 for f.
-1, 1
Let t = -61 - -26. Let h = t - -77. Solve 25*z**3 - 20 - h*z**3 + 44*z - 28*z**2 + 21*z**3 = 0 for z.
1, 5
Let m(x) be the third derivative of -31*x**2 - 1/420*x**6 - 2/21*x**5 + 1/84*x**4 + 0 + 2*x + 20/21*x**3. What is l in m(l) = 0?
-20, -1, 1
Let v(c) be the second derivative of 1/36*c**4 + c - 18 + 1/24*c**5 - 5/36*c**3 - 1/6*c**2. Suppose v(j) = 0. Calculate j.
-1, -2/5, 1
Let j(x) be the second derivative of x**7/231 - 58*x**6/165 - 119*x**5/110 - 10*x**4/11 + 787*x. Factor j(z).
2*z**2*(z - 60)*(z + 1)**2/11
Factor 157/6*c**4 - 1/6*c**5 - 18721/6*c**2 - 5923/6*c**3 - 9520/3*c - 3200/3.
-(c - 80)**2*(c + 1)**3/6
Let x be (-512)/(-84) + (-33)/198*10. Solve -31/7*m - 1/7*m**4 + x*m**3 - 29/7*m**2 + 30/7 = 0 for m.
-1, 1, 30
Let z(b) be the third derivative of b**6/420 + 2*b**5/15 + 5*b**4/3 + 176*b**3/21 + b**2 + 129. Determine a, given that z(a) = 0.
-22, -4, -2
What is d in 23/2*d**3 + 84*d**2 - 256 + 160*d + 1/2*d**4 = 0?
-8, 1
Let k(h) be the third derivative of -h**6/40 + 903*h**5/20 - 271803*h**4/8 + 27270901*h**3/2 + 9*h**2 - 19. Let k(j) = 0. Calculate j.
301
Let x(t) be the first derivative of 9/2*t**5 - 105 - 95*t**3 - 1/4*t**6 - 675/4*t**2 - 243/2*t - 45/4*t**4. Factor x(a).
-3*(a - 9)**2*(a + 1)**3/2
Let x = 275549/7 - 39363. Factor 0 - x*w - 2/7*w**2.
-2*w*(w + 4)/7
Factor 0 - 615/8*n + 3/8*n**3 - 153/2*n**2.
3*n*(n - 205)*(n + 1)/8
Let y(h) be the third derivative of -h**8/32256 - h**7/3360 - h**6/1440 - 109*h**5/60 - 125*h**2. Let s(u) be the third derivative of y(u). Factor s(l).
-(l + 2)*(5*l + 2)/8
Let g be (1 - 32102/(-70))*(-4)/(-3). Let m = -612 + g. Factor m + 34/5*a + 6*a**2.
2*(a + 1)*(15*a + 2)/5
Let x(h) be the second derivative of 0*h**2 + 0 - 74*h + 2*h**3 + 1/6*h**4. Determine m so that x(m) = 0.
-6, 0
Let q(c) be the second derivative of c**5/25 + 12*c**4/5 + 682*c**3/15 + 1092*c**2/5 + 2761*c. Solve q(z) = 0 for z.
-21, -13, -2
Factor 25*z**2 + 1/3*z**3 + 504*z + 1296.
(z + 3)*(z + 36)**2/3
Let h(w) be the second derivative of -5*w**4/12 + 300*w**3 - 81000*w**2 + 2*w - 23. Factor h(z).
-5*(z - 180)**2
Let r be 25/(-9) - (46 - 198/11 - 31). Factor 0 - 2176/9*x**2 - r*x**4 + 130/9*x**3 + 2048/9*x.
-2*x*(x - 32)**2*(x - 1)/9
Suppose -28*h + 24*h = -16. Factor -i**h - 4*i**2 - 3*i**2 + 5*i - 5*i**3 - 8*i.
-i*(i + 1)**2*(i + 3)
Let w be (4/28)/(92/966) - (0 - -1). Solve -w*v**3 + v**2 - 1/2*v + 0 = 0.
0, 1
Suppose 4*z + 299 = 4*s - s, 5*z = -4*s - 397. Let g = -74 - z. Find k, given that 2*k**2 - 36*k - 12 - 7*k**g + 28*k**3 + 25*k**2 = 0.
-2, -2/7, 1
Let i(f) be the second derivative of 10*f**7/21 + 706*f**6/15 + 553*f**5/5 + 67*f**4/3 - 92*f**3 + 3155*f. Let i(u) = 0. What is u?
-69, -1, 0, 2/5
Let r be 26/442 + (-203)/(-17). Suppose -275*j + 271*j + r = 0. Find i, given that -1/7*i**2 - 1/7*i**4 + 0 + 2/7*i**j + 0*i = 0.
0, 1
Let g be (38 + -38)*6*14/(-84). Let 3*r + 3/5*r**3 + g - 18/5*r**2 = 0. What is r?
0, 1, 5
Let b(d) = -d**3 + 30*d**2 + d + 26. Let o be b(29). Suppose 0 = 5*t - t - o. Factor -1 - 230*r + t*r + 0*r**2 + 3*r**2 + 4.
3*(r - 1)**2
Let c be 5 + 952/(-469) + -3. Let r = 87/670 + c. Let 0 + r*d**2 - 1/2*d = 0. Calculate d.
0, 5
Determine s, given that -93*s**3 - 844*s - 1237*s**3 - 1514*s**2 - 264*s**4 + 434*s**3 + 74*s**4 - 144 - 12*s**5 = 0.
-9, -4, -2, -1/2, -1/3
Let i(f) = -f**3 + 13*f**2 + f + 1. Let q(l) = -3*l**3 + 59*l**2 + 10*l + 4. Let k(n) = 4*i(n) - q(n). Let k(r) = 0. Calculate r.
-6, -1, 0
Let x(y) = -5*y**2 + 44*y + 49. Let b(k) = 6*k**2 - 48*k - 54. Let v(i) = 2*b(i) + 3*x(i). Factor v(o).
-3*(o - 13)*(o + 1)
Let q be (-61)/(-6) - ((-85)/30)/(-17). Suppose -q = 10*t - 60. Factor 430*i + 4*i**2 - t*i**2 - 1 - 3*i**2 - 426*i.
-(2*i - 1)**2
Let d(f) be the second derivative of 3*f - 28/15*f**3 + 5 - 6*f**2 + 1/15*f**4. Factor d(b).
4*(b - 15)*(b + 1)/5
Factor 140 - 22/5*p - 2/5*p**2.
-2*(p - 14)*(p + 25)/5
Let i(s) be the third derivative of 21*s**2 - 289/48*s**3 - 1/480*s**5 - 17/96*s**4 + 0*s + 0. What is c in i(c) = 0?
-17
Let q(z) be the third derivative of -z**7/315 + 2*z**6/45 + 43*z**5/90 + 29*z**4/18 + 8*z**3/3 - 65*z**2. Let q(f) = 0. What is f?
-2, -1, 12
Let n = -95 - -103. Suppose 2*k = 3*q - n*q + 4, 0 = -k - q + 2. Factor 20*i + 4*i - 16 + k*i**3 - 32*i**2 + 20*i**2.
2*(i - 2)**3
Let u(i) be the third derivative of 1/630*i**7 + 13/360*i**6 + 0*i + 23/180*i**5 + 11/72*i**4 - 47 + 0*i**3 - 2*i**2. Suppose u(w) = 0. Calculate w.
-11, -1, 0
Let m(w) = 25*w + 54. Let n be m(-4). Let o = n - -46. Factor 5/2*q**2 - 1/2*q**4 + 3/2*q + 1/2*q**3 + o.
-q*(q - 3)*(q + 1)**2/2
Suppose 761*q + 553*q = 184*q. Let -3/4*m**5 + 3/2*m**2 - 3/2*m**4 + q + 3/4*m + 0*m**3 = 0. Calculate m.
-1, 0, 1
Let d(z) be the first derivative of 7 - 4/13*z - 32/13*z**3 - 23/26*z**4 - 27/13*z**2. Solve d(m) = 0 for m.
-1, -2/23
Let d(c) be the third derivative of c**5/60 - 69*c**4/8 - 104*c**3/3 + 4*c**2 + 8*c. Solve d(x) = 0 for x.
-1, 208
Suppose -3*c + 14 = -94. Factor 25*w**3 - 9*w + 115*w + 85*w**2 - 10*w + c.
(w + 1)*(5*w + 6)**2
Let c = 1357/6 + -228. Let u = c + 169/12. Factor -1/4*y**2 - 7/2*y - u.
-(y + 7)**2/4
Let l = -87355 + 349425/4. Determine t so that 5/4*t**3 + 5/2*t**2 + l*t + 0 = 0.
-1, 0
Let r(l) be the second derivative of -l**4/54 + 104*l**3/27 + 1480*l. Factor r(w).
-2*w*(w - 104)/9
Let w(k) be the third derivative of -k**7/6 - 169*k**6/12 - 344*k**5 - 240*k**4 + 9*k**2 + 27. Solve w(q) = 0 for q.
-24, -2/7, 0
Suppose 19 = -b + 24. Let z(w) be the second derivative of 0*w**4 + 0*w**2 - 1/70*w**b - 1/105*w**6 + 19*w + 0*w**3 + 0. Determine i, given that z(i) = 0.
-1, 0
Suppose -8*w = -0*w + w. Suppose -4*k = -w - 8. Find p, given that 11*p**4 - 15*p**4 + 8*p + 16*p**k + 10*p**3 + 6*p**4 = 0.
-2, -1, 0
Let k(g) be the first derivative of 10/3*g**3 - 1/4*g**5 + 2*g**2 - 23 - 1/24*g**6 + 0*g + 0*g**4. Let a(y) be the second derivative of k(y). Solve a(u) = 0.
-2, 1
Factor -8 + 4/5*z**2 - 12/5*z.
4*(z - 5)*(z + 2)/5
Let b**3 + 0 + 4/3*b**2 - 1/2*b**5 - 1/2*b - 4/3*b**4 = 0. Calculate b.
-3, -1, 0, 1/3, 1
Find o, given that 64/3*o**5 - 1449920*o + 620944/3 - 16800*o**4 + 9909860/3*o**3 + 4989620/3*o**2 = 0.
-1, 1/4, 394
Factor 9/5*s + 8/5 + 1/5*s**2.
(s + 1)*(s + 8)/5
Let j be 10/4 - 1/(-4)*2. Factor -1 - 13*g**2 - 1 + 2*g + 14*g**2 - j*g.
(g - 2)*(g + 1)
Determine v, given that 1849/3 - 86/3*v + 1/3*v**2 = 0.
43
Let d be (6/3)/((-12)/(-3)). Let t(s) = -182*s + 548. Let z be t(3). Factor 5/2*l + 25/8*l**z + d.
(5*l + 2)**2/8
Let d(a) = -5*a**2 - 1661*a + 347792. Let h(u) = 2*u**2 + 831*u - 173895. Let p(r) = 6*d(r) + 14*h(r). Factor p(o).
-2*(o - 417)**2
Suppose -5*d + 23 = -2. Suppose d*l - h - 58 = 0, -2*h = -4 - 0. Determine i so that 90*i + 3*i**3 - 21*i**2 + l*i**3 - 84*i = 0.
0, 2/5, 1
Let h(b) be the first derivative of -b**4/3 - 22*b**3/3 - 69*b + 96. Let y(w) be the first derivative of h(w). Determine k, given that y(k) = 0.
-11, 0
Factor 1/8*z**4 - 5/8*z**3 + 0*z - 3*z**2 + 0.
z**2*(z - 8)*(z + 3)/8
Let m be 6/5*(-1)/((-18)/60). Factor 20*i**2 - 18*i**m + 45 + 10*i**3 + 13*i**4 + 20*i**2 - 90*i.
-5*(i - 3)*(i - 1)**2*(i + 3)
Let g(u) = 47022*u - 47022*u - 2*u**2. Let p(j) = -6*j**2 + 62*j - 42. Let s(c) = -g(c) - p(c). Determine a, given that s(a) = 0.
3/4, 7
Let u(p) be the second derivative of -p**4/8 - 181*p**3/4 - 138*p - 1. Suppose u(q) = 0. Calculate q.
-181, 0
Determine a, given that 6912/5 - 288/5*a + 3/5*a**2 = 0.
48
Let g(r) be the first derivative of r**6/6 - 12*r**5/5 - 15*r**4/4 + 26*r**3/3 - 1757. Let g(y) = 0. Calculate y.
-2, 0, 1, 13
Let i(n) = -10*n**2 - 128*n + 1