3 + 0 - 15/7*a**2. Solve j(h) = 0 for h.
-15, 1
Factor -9*t**2 + 26/3 - 701/3*t.
-(t + 26)*(27*t - 1)/3
Let 1/3*b**2 + 73*b + 218/3 = 0. What is b?
-218, -1
Let 168 - 40*h - 1/2*h**2 = 0. Calculate h.
-84, 4
Let r(x) be the first derivative of 0*x + 0*x**2 - 2/7*x**5 + 0*x**3 - 25/28*x**4 - 1/42*x**6 + 50. Factor r(g).
-g**3*(g + 5)**2/7
Suppose -12*d = -133 - 83. Let -357*o + 345*o + d*o**3 - 4 - 2*o**3 = 0. Calculate o.
-1/2, 1
Let k(j) be the first derivative of -9/5*j**2 + 0*j - 8/25*j**5 - 1/15*j**6 + 157 + 8/5*j**3 + 1/5*j**4. Suppose k(c) = 0. Calculate c.
-3, 0, 1
Let d(r) be the second derivative of r**7/28 + 6*r**6/5 + 309*r**5/40 + 39*r**4/2 + 19*r**3 - r - 267. Solve d(n) = 0.
-19, -2, -1, 0
Let n(z) be the third derivative of -z**7/105 + 7*z**6/20 + 23*z**5/30 - 7*z**4/4 - 22*z**3/3 + 4419*z**2. Factor n(h).
-2*(h - 22)*(h - 1)*(h + 1)**2
Let l(y) = y**4 - 328*y**3 - 999*y**2 - 678*y. Let v(q) = q**4 - 658*q**3 - 1999*q**2 - 1358*q. Let g(f) = -9*l(f) + 4*v(f). Let g(p) = 0. What is p?
-2, -1, 0, 67
Factor -1027*a**2 - 4694*a**4 - 25*a**5 + 4384*a**4 - 1470*a**3 - 2213*a**2 - 3105*a - 810.
-5*(a + 3)**4*(5*a + 2)
Determine z, given that 6*z + 106*z + 60*z**2 + 69*z + 17*z - 2*z**3 = 0.
-3, 0, 33
Let x(c) be the second derivative of c**6/15 - 5*c**5/2 - 71*c**4/3 - 236*c**3/3 - 120*c**2 + 575*c + 2. Determine a, given that x(a) = 0.
-2, -1, 30
Factor 109023 + 15*a**2 - 950*a - 16*a**2 - 158887 - 148046 - 27715.
-(a + 475)**2
Suppose 0 = 15*n - 11*n - 20. Suppose n*k = 15*k. Factor 0*h + k - 3/2*h**5 + 3*h**4 + 0*h**2 + 0*h**3.
-3*h**4*(h - 2)/2
Let q(f) be the second derivative of 5*f**7/126 + 7*f**6/18 - 15*f**5 + 45*f**4 - 2*f + 273. Find w such that q(w) = 0.
-18, 0, 2, 9
Let b(y) be the second derivative of -y**7/42 + 67*y**6/15 + 68*y**5/5 + y**4/6 - 271*y**3/6 - 68*y**2 + 2545*y - 2. Factor b(n).
-(n - 136)*(n - 1)*(n + 1)**3
Let q(n) = -n - 3. Let y be q(-3). Let x = 387778/39 - 129255/13. Factor x*a**2 + a + y.
a*(a + 3)/3
Let d(z) be the first derivative of -z**6/30 + 11*z**5/25 - 3*z**4/10 - 148*z**3/15 + 196*z**2/5 - 288*z/5 + 2370. Determine a so that d(a) = 0.
-4, 2, 9
Determine o, given that -848/3*o**2 - 4/9*o**3 - 38112512/9 - 179776/3*o = 0.
-212
Let d(p) = p**2 - p. Let z be (-12)/(-7) + 12/42 + 0. Let f = -10 - -8. Let g(h) = 3*h**2 + 2*h + 1. Let j(b) = f*g(b) + z*d(b). Solve j(r) = 0.
-1, -1/2
Let x(q) be the first derivative of q**7/105 - q**5/10 + q**4/6 + 11*q**2/2 - q + 110. Let u(f) be the second derivative of x(f). Find a, given that u(a) = 0.
-2, 0, 1
Suppose -2*y - 22 = -3*j - 32, 4*y - 6 = -j. Let o be ((21/(-14))/3)/(y/(-20)). Factor -1/2*i**5 - 2*i**4 + o*i**2 + 2*i - 1/2*i**3 - 4.
-(i - 1)**2*(i + 2)**3/2
Suppose 0 = -2*i - 3*s - s - 10, 4*i = 2*s - 10. Let m be i/(-2) + -1 - 25/(-10). Let m*f**2 + 0*f**4 - 2*f**3 - f**4 - 4*f**2 = 0. What is f?
-1, 0
Let -24*d**4 - 744*d - 644*d**2 + 275*d**5 - 304 - 230*d**3 + 280*d**5 - 553*d**5 = 0. Calculate d.
-2, -1, 19
Let r(n) be the third derivative of -n**6/60 + 89*n**5/2 - 147849*n**4/4 - 447561*n**3 - 78*n**2 + 10*n + 2. Determine g, given that r(g) = 0.
-3, 669
Let x = 1/7759 - -512089/38795. Factor -x*n - 2*n**2 - 36/5.
-2*(n + 6)*(5*n + 3)/5
Find p, given that 1/2*p**2 + 0 - 1/2*p + 1/2*p**3 - 1/2*p**4 = 0.
-1, 0, 1
Let p(z) = z**3 + 23*z**2 + 20*z - 19. Let j be p(-22). Let f = j - 22. Suppose -3*l + 3*l**3 + 3*l**f + 82*l**5 - 85*l**5 = 0. Calculate l.
-1, 0, 1
Determine w, given that -41/3*w + 122/9 - 1951/9*w**2 + 656/3*w**3 - 16/9*w**4 = 0.
-1/4, 1/4, 1, 122
Let a(b) be the second derivative of 4/11*b**2 - 1/66*b**4 + 0 + 69*b + 0*b**3. Find y, given that a(y) = 0.
-2, 2
Let h = -5/14133 + 4043/14133. Factor -6/7*r**4 - 6/7*r**3 - 2/7*r**5 - h*r**2 + 0*r + 0.
-2*r**2*(r + 1)**3/7
Let s(g) be the third derivative of g**8/10080 - g**7/420 + g**6/72 - g**5/60 - 5*g**4/24 - 26*g**2. Let q(z) be the third derivative of s(z). Factor q(h).
2*(h - 5)*(h - 1)
Let t = 554 - 1087/2. Let f = -8 + t. What is w in -10*w - 10 - f*w**2 = 0?
-2
Determine c, given that 1633*c**2 + 90*c**3 + 107*c**3 - 77*c**3 + 960 - 5*c**4 - 418*c**2 + 2031*c + 19*c = 0.
-6, -1, 32
What is f in 9873*f + 8*f**2 - 12*f**2 + 201 - 10676*f = 0?
-201, 1/4
Suppose 2*r - 6 = 3*c, 0 = 2*c - 0*r + 4*r - 12. Let w(s) = -4*s**2 + s + 1. Let b be w(c). Factor 27*j - 2 + 42*j**3 - b + 18*j**4 + 7 + 3*j**5 + 2 + 48*j**2.
3*(j + 1)**4*(j + 2)
Let c(r) be the first derivative of -3/4*r**4 + 0*r - 1/5*r**5 + 0*r**2 + 1 + 0*r**3. Factor c(z).
-z**3*(z + 3)
Let j(a) be the second derivative of -6/5*a**2 - 2*a + 0 - 1/2*a**3 - 1/20*a**4. Factor j(o).
-3*(o + 1)*(o + 4)/5
Let l(c) = 6*c + 6. Let o be l(0). Let v be 1*(80/12 - o). Factor 0*t + 0 - 6*t**2 + 4*t**3 - v*t**4.
-2*t**2*(t - 3)**2/3
Let l(o) be the first derivative of o**6/30 + 9*o**5/25 - 61*o**4/20 - 127*o**3/5 + 702*o**2/5 - 972*o/5 - 3364. Suppose l(g) = 0. Calculate g.
-9, 1, 2, 6
Let i(r) = -78*r**3 - 75*r**2 - 363*r - 420. Let h(q) = 5*q**3 + q**2 + 4*q + 2. Let m(v) = -15*h(v) - i(v). Factor m(d).
3*(d + 2)*(d + 5)*(d + 13)
Suppose 4*r - 10 = 70. Let l(a) be the first derivative of 2*a**4 + 3*a**4 - 10*a**2 + 0*a**4 + a**5 + 35*a**3 - 10 - 30*a**3 - r*a. Find i such that l(i) = 0.
-2, -1, 1
Let z = 5249 + -5249. Let j(l) be the third derivative of z*l + 5*l**2 - 5/24*l**4 - 1/12*l**6 + 5/12*l**5 - 5/3*l**3 + 0. Let j(q) = 0. Calculate q.
-1/2, 1, 2
Let k(m) be the third derivative of -1/112*m**8 + 0*m**3 + 1/20*m**5 - 1/70*m**7 + 0*m - 1/4*m**4 + 3/40*m**6 + 1 - 26*m**2. Solve k(x) = 0.
-2, -1, 0, 1
Factor -46/5*j + 28/5*j**2 + 21/5 - 1/5*j**4 - 2/5*j**3.
-(j - 3)*(j - 1)**2*(j + 7)/5
Let k = 24779 + -24775. Let w(s) be the first derivative of 0*s + 43 + 0*s**2 + 2*s**3 + 3/5*s**5 - 9/4*s**k. Factor w(g).
3*g**2*(g - 2)*(g - 1)
Let v(r) be the first derivative of -r**4/8 - 209*r**3/2 - 24492*r**2 + 49298*r + 508. Factor v(o).
-(o - 1)*(o + 314)**2/2
Suppose -4*s - 1363 = -1379. Let a(n) = -115*n**2 - 80*n - 35. Let z(f) = 13*f**2 + 9*f + 4. Let q(k) = s*a(k) + 35*z(k). Determine c, given that q(c) = 0.
-1, 0
Let a(d) = -d**2 + 4*d + 50. Let o be a(-5). Factor -2302*w + 5130*w**3 - 892*w**4 - 34020*w**2 + 6*w**5 + 617*w**4 + 31462*w - w**o.
5*w*(w - 18)**3*(w - 1)
Factor -2/13*w**2 + 336/13*w + 26.
-2*(w - 169)*(w + 1)/13
Let s(q) = -q**3 - 6*q**2 - 3*q + 14. Let n be s(-5). Factor 17*l**4 - 8*l**2 + 11*l**4 - 4*l**3 - 24*l**n.
4*l**2*(l - 2)*(l + 1)
Suppose 2*f = -3*w - 12, -115*w + 119*w + 5*f = -37. Factor 0*z + 1/6*z**4 + 1/3*z**w - 1/2*z**3 + 0.
z**2*(z - 2)*(z - 1)/6
Solve -1/5*n**5 + 148/5*n**2 - 30*n**3 - 49/5*n + 52/5*n**4 + 0 = 0 for n.
0, 1, 49
Let r(i) = -4*i**3 + 1433*i - 34*i**2 - 1456*i + 2 - 9. Let a(c) = -c**3 - 11*c**2 - 8*c - 2. Let b(q) = 21*a(q) - 6*r(q). Factor b(k).
3*k*(k - 10)*(k + 1)
Suppose 5780 = 1895*l + 95. Find z, given that 3*z + 0 - 3/4*z**l + 0*z**2 = 0.
-2, 0, 2
Let c(g) be the second derivative of 15*g**5/4 + 12170*g**4 - 19478*g**3 + 11688*g**2 - 7611*g. Determine t, given that c(t) = 0.
-1948, 2/5
Factor -3314/3*z - 1/3*z**2 - 2745649/3.
-(z + 1657)**2/3
Let x(b) = b**3 - 11*b**2 - 33*b - 64. Let v be x(16). Let i = 2068/3 - v. Suppose i + 4*f**2 + 4/3*f**3 + 4*f = 0. Calculate f.
-1
Factor -82*m**2 + 1427 + 3*m**3 - 278*m**2 + 769 - 524*m + 140*m - 3*m**2.
3*(m - 122)*(m - 2)*(m + 3)
Suppose 3*c = -b + 23 + 36, -3*c = -5*b - 83. Let g be -6*((-6)/c - (-36)/224). Factor -5/4*n**3 + 1/4*n**5 - 3/4*n**2 + n + g*n**4 + 0.
n*(n - 1)**2*(n + 1)*(n + 4)/4
Factor 207 + 0*t**2 - 2*t**2 - 88*t + 283.
-2*(t - 5)*(t + 49)
Suppose -1688/23*x + 8/23 + 89042/23*x**2 = 0. What is x?
2/211
Let w = 139167 + -139167. Suppose 5*v = -4*i - 0*i + 35, -4*i + 32 = 4*v. Factor 0*y + y**4 + 1/4*y**i + 0*y**2 + y**3 + w.
y**3*(y + 2)**2/4
Factor 21*d**3 - 47*d - 3478*d**4 + 16*d**3 - 13*d + 3485*d**4 + 16*d**2.
d*(d - 1)*(d + 2)*(7*d + 30)
Suppose 469 = 4*v + 3*l, -5*l + 59 = v - 71. Determine j, given that -220*j + 12*j**4 + 4*j**4 + 0*j**4 - 34 - j**4 - 26 + 20*j**3 - v*j**2 = 0.
-2, -1/3, 3
Let b(r) = -27*r**2 - 18*r - 6. Let c(k) be the second derivative of 7*k**4/3 + 3*k**3 + 4*k**2 - 3*k + 15. Let m(h) = 6*b(h) + 5*c(h). Factor m(u).
-2*(u + 1)*(11*u - 2)
Suppose 3*m - 5 + 4 = -2*p, 0 = m + 3. Suppose -26 = -1