0*f**z + 4/5 + 2/5*f**3 - 6/5*f.
2*(f - 1)**2*(f + 2)/5
Let j(z) = -602*z + 3013. Let w be j(5). Let v(y) be the second derivative of -1/39*y**6 + 0*y**2 + 2*y + 8/39*y**w + 0 + 11/65*y**5 - 14/39*y**4. Factor v(b).
-2*b*(b - 2)**2*(5*b - 2)/13
Let -2608*b**2 + 105 + 1296*b**2 + 1311*b**2 + 16*b = 0. Calculate b.
-5, 21
Let d(a) be the second derivative of -a**6/780 + 3*a**5/130 - 7*a**4/78 - 44*a**2 + 238*a. Let s(z) be the first derivative of d(z). Let s(x) = 0. Calculate x.
0, 2, 7
Let i = 102 - 99. Let b(k) = k**3 + 16*k**2 + 3*k - 4. Let j(d) = 2*d**2 + d + 1. Let f(o) = i*b(o) - 12*j(o). Factor f(a).
3*(a - 1)*(a + 1)*(a + 8)
Let b = 52763 + -263814/5. Let n be (6 - 0)*(-2)/(-6). Factor -3/5*s + 2 - b*s**n.
-(s - 2)*(s + 5)/5
Let p = 222 - 564. Let n be 9/(63/(-49)) + p/(-48). Determine i, given that -n*i**3 - 3/8*i - 1/2*i**2 + 0 = 0.
-3, -1, 0
Let o(m) = m**3 + 5*m**2 - 4*m + 8. Let d be o(-6). Let s(h) = 76*h**2 + 8*h - 5. Let w be s(d). What is u in 1176*u + 2 + 3*u**3 - 2*u**3 - w*u = 0?
-2, 1
Let o(l) = l**2 + 3*l - 53. Let u be o(-7). Let m be -1 + (u/(-14) - 16/56). Solve 0 - g + 3/2*g**2 - m*g**3 = 0.
0, 1, 2
Let j be 3 + (-3)/2*43/(-86)*-2. Suppose d = 5*h - 11, h + 4*d = 2*d. What is f in -11/2*f + h*f**2 - j = 0?
-1/4, 3
Let u(x) be the first derivative of -1/20*x**4 - 9/10*x**2 + 2/5*x**3 + 4/5*x - 4. Factor u(c).
-(c - 4)*(c - 1)**2/5
Let c(u) = 32*u**4 + 117*u**3 + 54*u**2 - 272*u - 308. Let r(i) = -34*i**4 - 120*i**3 - 54*i**2 + 271*i + 307. Let y(g) = 5*c(g) + 4*r(g). Factor y(h).
3*(h + 2)**3*(8*h - 13)
Let z(m) = -m**3 + 64*m**2 - 175*m + 144. Let r(b) be the first derivative of 32*b**3/3 - 44*b**2 + 72*b - 25. Let t(u) = -7*r(u) + 4*z(u). Solve t(p) = 0.
2, 3
Let u = 1766 + -30004/17. Let o = 78534 - 1335066/17. Let 2/17*k**2 + u + o*k = 0. Calculate k.
-3
Let o(h) be the third derivative of -h**6/120 + 3*h**5/20 + 121*h**4/24 + 85*h**3/2 + 5275*h**2. Let o(j) = 0. Calculate j.
-5, -3, 17
Let g(m) = -m**3 + 16*m**2 - 15*m + 2. Let y be g(15). Suppose -3*o - 2*s = -11, o + 1 = 2*s + y. Determine a, given that -a + 8*a**2 + a - 2*a**o + 6*a**3 = 0.
-2, 0
Determine h so that 2/9*h**2 - 44/3*h - 134/9 = 0.
-1, 67
Let z be (-3)/6 - 10/(-4). Let y = 1555673 + -14001037/9. Factor 2/3*f - y + 2/9*f**z.
2*(f - 2)*(f + 5)/9
Let q(t) be the second derivative of -t**6/150 + 17*t**5/100 - 13*t**4/30 - 34*t**3/15 + 12*t**2 - 6*t - 12. Factor q(p).
-(p - 15)*(p - 2)**2*(p + 2)/5
Suppose 3*u + 5*s = -13, 4*s + 3 = -4*u - 1. Let -23*j**4 - 4*j**3 + 15*j**4 + 10*j**3 + 17*j**u + 3*j**5 = 0. Calculate j.
-2, -1, 0
Let a = -364 + 369. Let q be 1/((((-45)/(-6))/3)/a). Factor -16/5 - 4*n - 4/5*n**q.
-4*(n + 1)*(n + 4)/5
What is k in 36/7*k - 2/7*k**4 - 82/7*k**2 + 24/7*k**3 + 144/7 = 0?
-1, 3, 4, 6
Suppose u - 2 = 0, -t + u - 4*u = -18. Let k be (2*(-3)/6)/((-3)/t). Factor k - 181*g**2 - 4 + 166*g**2 + 10*g.
-5*g*(3*g - 2)
Let m be (-6)/(-12)*(16 - 26) - 4/((-28)/87). What is v in -2/7*v**4 + 144/7 + m*v**2 + 24*v - 2/7*v**3 = 0?
-3, -2, 6
Let l = 526 - 522. Suppose -g**l + 9182 - 1800*g**2 + 3312 - 13126*g + 2394 - 624*g + 737 - 74*g**3 = 0. What is g?
-25, 1
Let l(r) be the second derivative of -1/8*r**4 + 1/20*r**5 + 7 + 1/12*r**3 + 0*r**2 - 3*r. Factor l(n).
n*(n - 1)*(2*n - 1)/2
Let g(k) be the third derivative of -121*k**8/1344 + 143*k**7/420 - 23*k**6/120 + k**5/30 + 676*k**2 + 1. Factor g(z).
-z**2*(z - 2)*(11*z - 2)**2/4
Determine v so that 1114*v**3 - 3*v**5 - 8554*v - 546 - 484*v**3 + 1032*v**3 + 186*v**4 + 1380*v**2 + 79*v + 5796 = 0.
-5, 1, 70
Let j be 0 + (-1288)/32*-4. Factor -y + j*y**2 - 3*y - 165*y**2.
-4*y*(y + 1)
Factor -3/4*n**3 - 2229/4*n - 1119/4*n**2 - 1113/4.
-3*(n + 1)**2*(n + 371)/4
Let s(p) be the second derivative of -3*p**5/20 - 257*p**4/4 - 128*p**3 + 255*p - 20. Factor s(q).
-3*q*(q + 1)*(q + 256)
Let n(q) = 575*q - 12073. Let v be n(21). Let -46/11 + 2/11*r**v + 4*r = 0. Calculate r.
-23, 1
Let j(f) be the second derivative of -f**5/90 - 8*f**4/27 + 17*f**3/27 + 1025*f. Factor j(k).
-2*k*(k - 1)*(k + 17)/9
Let z(g) = -4*g + 7. Let t(v) = 7*v - 13. Let i(y) = 3*t(y) + 5*z(y). Let b be i(6). Determine u so that 0*u + 4/3*u**b - 4/9*u**3 - 16/9 = 0.
-1, 2
Suppose s - 2*b = 30, 199*s + 18 = 204*s + b. Find i, given that -s - 1/4*i**2 - 11/4*i = 0.
-8, -3
Let b(o) be the second derivative of -13/4*o**4 + 3*o**2 + 27/10*o**5 - 7/2*o**3 + 4 + 2*o. Find x, given that b(x) = 0.
-1/2, 2/9, 1
Suppose 0*z + 123 = 41*z. Factor 14*h**2 - 40*h - 2*h**z - 3*h**2 + 20 - h**2 + 15*h**2 - 3*h**3.
-5*(h - 2)**2*(h - 1)
Let h be (-1 + (-103)/(-7))*(13545/(-255))/(-43). Factor 4/17*j**3 + 128/17 + 66/17*j**2 + h*j.
2*(j + 8)**2*(2*j + 1)/17
Let q(p) be the first derivative of -1/18*p**3 + 0*p + 2/3*p**2 - 16. Determine k so that q(k) = 0.
0, 8
Let q(l) = 15*l + 15. Let a be -4*(2 + (-56)/32). Let j be q(a). Factor -2/5*n**4 + 4/5*n**2 + j + 0*n - 2/5*n**3.
-2*n**2*(n - 1)*(n + 2)/5
Let x(p) be the second derivative of 3*p**5/140 + 27*p**4/14 + 48*p**3 + 3648*p**2/7 + 4*p - 134. Find w, given that x(w) = 0.
-38, -8
Solve -15/2 - d**3 - 19*d - 17/2*d**2 = 0.
-5, -3, -1/2
Let h(y) be the first derivative of -y**6/6 + y**5/5 + 5*y**4/4 - 5*y**3/3 - 2*y**2 + 4*y + 2764. Find g, given that h(g) = 0.
-2, -1, 1, 2
Let h be 15/(-12) + 1 + (-891)/(-12). Suppose 0 = -h*x + 67*x + 28. Factor 18 - 7*d**3 + 61/2*d**2 + 1/2*d**x - 42*d.
(d - 6)**2*(d - 1)**2/2
Let f be (5358/(-760))/(45/75) - -12. Determine j, given that -f*j**2 - 1/2*j + 2 = 0.
-4, 2
Let w(d) be the second derivative of d**5/20 - 5*d**4/12 + d**3/2 + 4*d**2 - d. Let i be w(4). Suppose r + i + 5*r**2 + 2*r - 2*r + 7*r + r**3 = 0. What is r?
-2, -1
Let o(z) be the second derivative of -2187*z**6/5 - 81*z**5/10 - z**4/24 - 13*z + 42. Factor o(c).
-c**2*(162*c + 1)**2/2
Let -320*x**2 + 31*x + 55*x**3 + 70 + 128 + 404*x - 172 + 64 = 0. Calculate x.
-2/11, 3
Let o(m) = m + m**2 - 7 - 4*m + 1 + 5. Let q be o(4). Determine t so that -5*t + 3*t**q - 5*t + 9*t**2 + 7*t - 4*t**4 - 5*t**4 = 0.
-1, 0, 1/3, 1
Let g(h) = 435*h**2 - 58595*h + 57910. Let l(o) = -7*o**2 + 945*o - 934. Let x(y) = 2*g(y) + 125*l(y). Factor x(j).
-5*(j - 186)*(j - 1)
Suppose j - 6*j - 2*o = -84, 2*j - 2*o - 28 = 0. What is b in 29*b**3 + 28*b**3 - 98*b**4 + 60*b - 15*b**3 + 60*b + j + 244*b**2 = 0?
-1, -2/7, 2
Let c(h) be the first derivative of -2*h**6/3 - 8*h**5 + 92*h**4 - 280*h**3/3 - 182*h**2 + 320*h + 901. Solve c(k) = 0 for k.
-16, -1, 1, 5
Let m(n) = n + 21. Let z(u) = -u**2 + u + 14. Let w be z(-4). Let x be m(w). Factor -63*p**2 + x + 30*p**2 - 23*p + 38*p**2 + 3*p.
5*(p - 3)*(p - 1)
Suppose 2*c + 16 = 3*g, -3*g - 1153*c + 1 = -1152*c. Factor 31/2*p - 27/2*p**g - 6 + 9/2*p**3 - 1/2*p**4.
-(p - 4)*(p - 3)*(p - 1)**2/2
Let w(f) be the third derivative of 0*f - 35/8*f**4 + 94*f**2 + 1/12*f**5 + 0*f**3 + 0. Factor w(u).
5*u*(u - 21)
Let o(q) be the second derivative of 27/2*q**2 + 55/2*q**4 - 6*q**5 + 9/7*q**7 - 11*q - 159/10*q**6 + 31*q**3 + 0. What is f in o(f) = 0?
-1/2, -1/3, 1, 9
Let z(p) be the first derivative of 7*p + 1/4*p**4 + 15/2*p**2 + 194 + 3*p**3. Suppose z(w) = 0. Calculate w.
-7, -1
Let c(s) be the third derivative of -s**7/105 + 8*s**6/15 - 29*s**5/10 - 730*s**4/3 - 2800*s**3/3 - 429*s**2. Find o such that c(o) = 0.
-7, -1, 20
Let a(q) = -2*q + 1. Let l be a(-1). Suppose n + 0*n = l. Factor 2*i**2 + 7*i**3 + 7*i**3 - 13*i**n + i.
i*(i + 1)**2
Suppose -l + 13 = -d, 151179*l - 151183*l + 64 = 0. Let 18/5*z**2 + 0 - 2/5*z**4 + 2/5*z**d - 18/5*z = 0. Calculate z.
-3, 0, 1, 3
Solve 4061*l**3 - 2901*l - 24385*l**2 + 385*l**4 + 2734*l**3 + 3*l**5 + 2*l**5 - 3899*l + 24000 = 0.
-40, -1, 1, 3
Suppose -26 + 7 = -9*r + 8. Let o(w) be the first derivative of -10/27*w**r + 2/45*w**5 + 1/18*w**4 + 28 + 0*w + 1/3*w**2. Determine p, given that o(p) = 0.
-3, 0, 1
Let n = -1341 + 1344. Let c(v) be the second derivative of 0*v**4 + 0 - 1/27*v**n + 5*v + 0*v**2 + 1/90*v**5. Determine x so that c(x) = 0.
-1, 0, 1
Let i(z) = 8*z**2 - z + 1. Let p(y) = 48122*y**2 - 2489*y + 41. Let n(s) = 18*i(s) - 2*p(s). Solve n(u) = 0.
4/155
Factor -29 + 19*z**2 - 63*z**3 + 62*z**2 + 10 + 3*z + 6*z**4 - 8.
3*(z - 9)*(z - 1)**2*(2*z + 1)
Let k(w) be the second derivative of w**4/18 - 47*w**3/9 + 30*w**2 + 1189*w + 4. Fact