 + 42275*y**4/24 + 45125*y**3/2 - 30*y**2 - 29. Suppose t(a) = 0. What is a?
-3, 95
Let j(z) be the third derivative of -z**8/2016 - z**7/630 + 11*z**6/144 - 11*z**5/45 - z**4 + 3*z**2 + 2*z - 49. Let j(x) = 0. What is x?
-9, -1, 0, 4
Let j(y) = -y - 2. Suppose -12 = 5*z - 27. Let n(c) = -2*c**2 - 7*c + 6. Let b(l) = z*j(l) + n(l). Let b(m) = 0. Calculate m.
-5, 0
Suppose 0 = 2*h - 3*y + 6*y - 12, -5*h + 30 = -4*y. Factor h*x + 2*x**2 - x**2 + 2*x**2 - 15*x.
3*x*(x - 3)
Let c = -13 - -15. Factor 0*z**4 - 119*z**3 - 2*z**2 + 124*z**3 + 10*z**c + 4*z + z**4.
z*(z + 1)*(z + 2)**2
Let q(n) = 3*n**4 - 51*n**2 - 4*n**4 + 63*n**2. Let c(x) = 12*x**2. Let b(z) = -2*c(z) + 3*q(z). Factor b(r).
-3*r**2*(r - 2)*(r + 2)
Factor j**2 - 2*j - 1/4*j**4 + 1/2*j**3 + 0.
-j*(j - 2)**2*(j + 2)/4
Let g(m) be the second derivative of m**7/84 - 7*m**6/6 + 1357*m**5/40 - 385*m**4/2 + 363*m**3 - 7*m - 30. Solve g(p) = 0.
0, 2, 33
Let z(n) be the second derivative of n**5/20 + 19*n**4/12 + 4*n**2 - 17*n. Let l be z(-19). Factor -8*h**3 + l*h**2 + 4*h**3 + 1 - 1.
-4*h**2*(h - 2)
Let x(m) be the third derivative of m**6/24 + 5*m**5/6 + 85*m**4/24 - 70*m**3/3 - 3685*m**2. Factor x(u).
5*(u - 1)*(u + 4)*(u + 7)
Let j be (80/96 - (2 + -1))*-2631. Let a = j - 438. Suppose a*n + 5/8 - 1/8*n**2 = 0. Calculate n.
-1, 5
Let d(k) be the first derivative of 5*k**4/4 - 5*k**3/3 - 35*k**2 + 120*k + 6761. Determine b, given that d(b) = 0.
-4, 2, 3
Let q(i) be the third derivative of 2*i**7/105 - 17*i**6/15 + 132*i**5/5 - 847*i**4/3 + 2662*i**3/3 - 1320*i**2. What is y in q(y) = 0?
1, 11
Let s(u) be the second derivative of -9*u**5/40 + u**4/8 + 5*u**3/2 - 6*u**2 - 418*u. Solve s(w) = 0.
-2, 1, 4/3
Let l(o) = -4*o + 943*o**2 + 3*o - 942*o**2 - 1. Let c = 10 - 14. Let r(f) = 15*f**4 - 19*f**3 - f**2 + 3*f - 2. Let d(p) = c*l(p) + r(p). Factor d(w).
(w - 1)**2*(3*w + 1)*(5*w + 2)
Factor -1017/7*b - 507/7*b**2 - 509/7 + 1/7*b**3.
(b - 509)*(b + 1)**2/7
Factor 136*a + 32 - 204*a**2 - 286*a**3 - 48*a**3 - 388*a**3 - 216*a**3 + 245*a**4.
(a - 4)*(5*a - 2)*(7*a + 2)**2
Let p(w) be the third derivative of -w**7/140 - 5*w**6/16 - 35*w**5/8 - 375*w**4/16 - 3641*w**2. What is b in p(b) = 0?
-15, -5, 0
Let i(l) be the second derivative of -2*l**7/21 - 38*l**6/15 + 11*l**5/5 + 227*l**4/3 + 700*l**3/3 + 304*l**2 - 16*l + 9. Let i(z) = 0. What is z?
-19, -2, -1, 4
Let g(z) = 2*z**3 + 1080*z**2 - 10*z - 1048. Let i(a) = -3*a**3 - 1083*a**2 + 13*a + 1043. Let c(r) = -5*g(r) - 4*i(r). Suppose c(j) = 0. Calculate j.
-1, 1, 534
Let h(b) be the first derivative of b**7/126 - 2*b**6/45 + 76*b - 98. Let g(z) be the first derivative of h(z). Factor g(y).
y**4*(y - 4)/3
Let u(w) = -4*w**3 - w**5 - 11130704 + 11130703 + 3*w**3. Let s = 2 - 1. Let q(x) = -15*x**5 - 45*x**4 - 20*x**3 - 20. Let r(b) = s*q(b) - 20*u(b). Factor r(v).
5*v**4*(v - 9)
Let t(d) = d**2 - 4*d + 10. Let k(l) be the first derivative of 3*l + 1. Let v be (78/6 - 7)/2. Let y(a) = v*t(a) - 15*k(a). Factor y(n).
3*(n - 5)*(n + 1)
Suppose 2*x - 14 = 2*h, x + 11 = 2*h - 7*h. Let i be (((-80)/h)/5)/(10/75). Let -148*o + 33*o**2 + i + 4*o**2 - 9*o**2 = 0. Calculate o.
2/7, 5
Let f = -184461 + 184464. Factor -11/3 - 2/3*c**f + 23/3*c**2 - 10/3*c.
-(c - 11)*(c - 1)*(2*c + 1)/3
Let r(n) = n**4 - n + 2. Suppose 70 + 26 = -16*t. Let b(d) = -7*d**4 + 12*d**3 - 35*d**2 - 6*d + 24. Let l(z) = t*r(z) - b(z). Suppose l(v) = 0. Calculate v.
-1, 1, 6
Let l(u) be the second derivative of -u**4/48 - 355*u**3/4 - 1134225*u**2/8 - 1814*u. Factor l(n).
-(n + 1065)**2/4
Find n such that n**5 - 42 + 372/5*n**2 - 162/5*n**4 - 466/5*n**3 + 461/5*n = 0.
-3, -1, 2/5, 1, 35
Let y be 4/(-6) - (342 + -330)*(-4)/45. Let -6/5*a**2 - 2 + y*a**3 - 18/5*a = 0. Calculate a.
-1, 5
Let -2/9*a**4 + 40/9*a**3 + 0 + 196/3*a - 266/9*a**2 = 0. What is a?
0, 6, 7
Let b(r) be the first derivative of -16*r**2 - 64*r - 4/3*r**3 + 12. Suppose b(y) = 0. What is y?
-4
Let v be 1770/(-50) - (-12)/(-20). Let g be (v/(-195))/(((-27)/60)/(-3)). Find t, given that 28/13*t**2 - 8/13*t**4 + g - 2/13*t**5 - 2/13*t**3 + 40/13*t = 0.
-2, -1, 2
Let l(q) be the second derivative of q**6/30 + 147*q**5/10 + 5618*q**4/3 + 21120*q**3 + 82944*q**2 - 30*q + 69. Solve l(a) = 0.
-144, -4, -2
Let f(p) be the second derivative of p**4/3 + 2284*p**3/3 + 652082*p**2 - 122*p. Determine w so that f(w) = 0.
-571
Let y(b) be the first derivative of -b**6/315 + 11*b**5/420 - b**4/12 - 5*b**3/3 - 14*b + 42. Let w(k) be the third derivative of y(k). Solve w(x) = 0.
1, 7/4
Factor 4/7*z + 6/7*z**2 + 0*z**3 - 2/7*z**4 + 0.
-2*z*(z - 2)*(z + 1)**2/7
Factor 142*n**3 + 2*n**5 + 290*n**3 - 225*n**2 - 114*n**4 + 0*n**5 - 382*n**2 + 183*n**2.
2*n**2*(n - 53)*(n - 2)**2
Suppose -d + 4*q = -3 + 5, 0 = -5*q + 5. Let v = 454 + -446. Determine c so that -d*c + 2*c - 8*c**4 + 6*c**4 + v*c**3 = 0.
0, 4
Let n(c) be the second derivative of c**7/525 - c**5/150 - 41*c**2/2 + 4*c + 2. Let u(y) be the first derivative of n(y). Determine t, given that u(t) = 0.
-1, 0, 1
Let k be (-2)/6 - (65 + 9408/(-144)). Factor 16/21*w + k + 2/21*w**2.
2*w*(w + 8)/21
Factor -4*d - 748*d**3 + 1492*d**3 - 22*d**2 - 743*d**3 + 88.
(d - 22)*(d - 2)*(d + 2)
Let g(s) = 38*s**3 + 4*s**2 - 2*s - 1. Let m be g(2). Determine b so that -5*b**3 - 340 + 870*b**2 - 65 - 785*b**2 - m*b = 0.
-1, 9
Let l(y) = -y**4 - 9*y**3 + 62*y - 68. Let v(n) = -2*n**4 - 10*n**3 + n**2 + 63*n - 66. Let m(i) = -3*l(i) + 2*v(i). Factor m(c).
-(c - 6)*(c - 2)**2*(c + 3)
Let k be (-8)/6 + 22/((-640200)/(-38860)). Let v = k - -483/970. Let v*h**2 - h + 0 = 0. Calculate h.
0, 2
Let s(i) be the first derivative of -3/16*i**4 + 1/4*i**2 + 1/24*i**6 - 1/20*i**5 + 44 + 0*i + 1/12*i**3. Factor s(h).
h*(h - 2)*(h - 1)*(h + 1)**2/4
Factor 16 - 7*g - 1/2*g**2.
-(g - 2)*(g + 16)/2
Let l(b) be the first derivative of 3*b**4/8 - 8*b**3 + 249*b**2/4 - 210*b + 961. Solve l(v) = 0 for v.
4, 5, 7
Solve -612*n**3 + 50707*n**5 + 117*n**4 - 50711*n**5 + 1708*n**2 - 33*n**4 - 1176*n = 0 for n.
0, 1, 6, 7
Let y(v) = -7*v**3 + 18*v**2 + 2*v - 16. Let d be y(2). Determine h, given that -34/3*h**3 - 122/3*h**2 + 108 - 2/3*h**d + 78*h = 0.
-9, -1, 2
Factor 25*n**3 - 2*n**3 + 1322*n - 108 + 41*n**3 + 105*n**2 - 1386*n + 3*n**2.
4*(n - 1)*(n + 1)*(16*n + 27)
Let t(s) be the first derivative of 14*s**3/39 + 185*s**2/13 - 216*s/13 - 5836. Factor t(k).
2*(k + 27)*(7*k - 4)/13
Suppose -2 = -p - 2*h, 10 = 2*p + 3*p + 5*h. Suppose -140*d + 2208 = -108*d. Factor -98*l**3 + 18*l + d*l**2 - 12*l**p + 77*l**3.
-3*l*(l - 3)*(7*l + 2)
Let w be (-84)/(-98) - (-77)/(-147). Let s(z) be the second derivative of -w*z**3 - 2/3*z**2 + 0*z**4 + 0 + 1/30*z**5 - 14*z. Suppose s(b) = 0. What is b?
-1, 2
Let p = -84 + 134. Suppose -3*u + p = 3*d - 13, -4*d - 35 = -3*u. What is n in -9*n + 18*n + 4*n**2 + 0*n**2 - u*n + 4 = 0?
1
Let g(i) be the third derivative of -i**6/960 + 7*i**5/160 + 11*i**4/96 - 817*i**2. Factor g(c).
-c*(c - 22)*(c + 1)/8
Let h(z) = z**3 - z**2 - 3*z - 6. Let a(m) = 225*m**4 + 7131*m**3 + 55693*m**2 - 15205*m + 1078. Let y(x) = 4*a(x) + 36*h(x). Factor y(l).
4*(l + 16)**2*(15*l - 2)**2
Let k(f) = -f**2 + 40*f. Let g(x) be the third derivative of -x**4/3 + 2*x**2 - x. Let q(l) = -11*g(l) - 2*k(l). Factor q(r).
2*r*(r + 4)
Let o(v) be the second derivative of -1/18*v**4 + 1/90*v**6 + 0*v**3 + 0 - 164*v + 0*v**5 + 1/6*v**2. Factor o(w).
(w - 1)**2*(w + 1)**2/3
Suppose -58*w**2 - 4*w**2 - 29*w**4 - 130*w**3 - 33*w**2 - 26*w**4 + 66*w - 86*w = 0. Calculate w.
-1, -4/11, 0
Let q(h) be the second derivative of h**4/10 + 884*h**3/15 - 59*h**2 + 504*h. Let q(t) = 0. Calculate t.
-295, 1/3
Let a(n) be the first derivative of -17*n**5/10 - 6*n**4 - 4*n**3/3 - 9*n + 70. Let y(b) be the first derivative of a(b). What is g in y(g) = 0?
-2, -2/17, 0
Let d(k) be the first derivative of -2*k**5/25 + 257*k**4/10 + 172*k**3/5 + 1773. Factor d(z).
-2*z**2*(z - 258)*(z + 1)/5
Let s = -4412 - -4414. Let r(t) be the second derivative of -2*t + 5*t**s - 1/6*t**4 + 4/3*t**3 + 0. Factor r(j).
-2*(j - 5)*(j + 1)
Factor 3472875*l**3 - 90 - 191583*l**2 + 197 + 1425*l - 6867*l**2 - 131 + 2355*l.
3*(105*l - 2)**3
Let i(d) be the first derivative of -6043*d**2 - 12*d - d**3 + 6 + 6037*d**2 - 102. Factor i(c).
-3*(c + 2)**2
Let u = 2856 + -2851. Le