e h(u) = 0. What is u?
-2, 1
Let b(f) be the first derivative of -84*f**5 + 147/4*f**6 - 36*f - 55 + 87*f**2 + 27*f**3 - 1539/8*f**4. Suppose b(d) = 0. Calculate d.
-1, -2/3, 2/7, 3
Suppose -5*i = 523 - 603. Factor -20 + i*w**2 - w**2 + 7*w + 16 + 2*w + 2*w.
(w + 1)*(15*w - 4)
Let t be -2 - 42/(-15)*180/72. Let i(o) be the first derivative of 55/16*o**4 + 17 - 15/2*o**2 - 5/6*o**3 - 3/2*o**t + 10*o + 5/24*o**6. Factor i(j).
5*(j - 2)**3*(j - 1)*(j + 1)/4
Factor -1/7*k**2 - 416/7*k - 43264/7.
-(k + 208)**2/7
Let g(x) = -3 + 18*x + 2 - 2*x**2 - 4*x**2 + 19 + 9. Let u(z) = -11*z**2 + 36*z + 52. Let k(r) = -5*g(r) + 3*u(r). Determine f, given that k(f) = 0.
-1, 7
Suppose 3*u + 160 = l + 156, 5*u = -2*l + 8. Let w(x) be the second derivative of 8*x + u + 0*x**4 + 0*x**2 - 1/6*x**3 + 1/20*x**5. Factor w(q).
q*(q - 1)*(q + 1)
Let u(z) be the second derivative of z**7/210 - 13*z**6/150 + 9*z**5/50 + 8*z**4/3 + 64*z**3/15 - 1425*z. Solve u(m) = 0.
-2, -1, 0, 8
What is d in -47/7*d + 38/7 + 9/7*d**2 = 0?
1, 38/9
Suppose -241/8*r**3 + 55/8*r**4 - 531/8*r**2 - 675 + 2079/4*r - 1/8*r**5 = 0. Calculate r.
-4, 3, 50
Let -250/23 + 252/23*r - 2/23*r**2 = 0. What is r?
1, 125
Let k(l) = -l**3 - 6*l**2 - 2*l + 12. Let s be k(-6). Suppose 0 = 21*b - s*b + 9. Determine y so that -9*y**3 + 2*y**4 + 13*y**b + 2*y**4 = 0.
-1, 0
Let u(c) be the third derivative of -c**6/60 - 371*c**5/240 - 2185*c**4/48 - 529*c**3/8 + 4270*c**2. Factor u(z).
-(z + 23)**2*(8*z + 3)/4
Let b(j) = 2*j**2 - 5*j - 12. Let t be b(5). Suppose -t*v + 18 = -60. Suppose 0 - 38/5*a**3 + 8/5*a - 8/5*a**4 + 8/5*a**2 + v*a**5 = 0. Calculate a.
-1, -2/5, 0, 2/3, 1
Determine h, given that 381 - 22473*h**2 + 22893*h**2 + 19 + 5*h**4 - 740*h - 85*h**3 = 0.
1, 2, 4, 10
Let g(x) be the first derivative of -2/9*x**4 + 2/45*x**5 + 60 + 2/9*x**3 - 8/9*x + 4/9*x**2. Suppose g(j) = 0. What is j?
-1, 1, 2
Let w(n) be the third derivative of -n**6/24 - 47*n**5/12 + 485*n**4/24 - 245*n**3/6 - 1970*n**2. Factor w(u).
-5*(u - 1)**2*(u + 49)
Let c(n) = 1409*n - 60575. Let t be c(43). Solve -154/3*d**3 + 0 - 182/3*d**2 - t*d - 8/3*d**4 = 0.
-18, -1, -1/4, 0
Find k, given that 50/13*k**2 + 90/13*k**3 + 24/13 + 14/13*k**5 - 74/13*k**4 - 8*k = 0.
-1, 2/7, 1, 2, 3
Let b(n) be the first derivative of 2*n**6/5 - 123*n**5/20 + 39*n**4/2 - 49*n**3/2 + 12*n**2 + 39*n + 36. Let t(h) be the first derivative of b(h). Factor t(w).
3*(w - 8)*(w - 1)**2*(4*w - 1)
Let k = 842 - 839. Factor -220*z + 19*z**3 - 4*z**4 - 2*z**3 + 50 + 12*z**2 - 250 + 11*z**k.
-4*(z - 5)**2*(z + 1)*(z + 2)
Let h(b) be the first derivative of -b**4/8 + 67*b**3/6 + 429*b**2/4 + 657*b/2 - 877. Factor h(k).
-(k - 73)*(k + 3)**2/2
Let f(t) be the first derivative of 2*t**6/3 - 12*t**5/5 - 2*t**4 + 16*t**3 - 16*t**2 - 1353. Determine g, given that f(g) = 0.
-2, 0, 1, 2
Let z(x) = x**2 - 4 + 5 - x + 2*x. Let c(q) = 2*q + 3. Let i be (4 - 1)/((-8)/(-2 + -6)). Let k(a) = i*z(a) - 3*c(a). Factor k(r).
3*(r - 2)*(r + 1)
Let 16/3*d**2 + 8/3*d - 88/3*d**4 + 0 - 170/3*d**3 = 0. Calculate d.
-2, -2/11, 0, 1/4
Let g(a) = -2*a**3 + 32*a**2 - 5*a + 84. Let x be g(16). Factor -x*v**2 + 18*v + 18*v + 4*v**2 - 30 - 25*v - v**2.
-(v - 6)*(v - 5)
Let i(k) be the first derivative of 2*k**5 + 29*k**4/8 + 11*k**3/5 + 9*k**2/20 - 1176. Solve i(z) = 0.
-3/5, -1/4, 0
Suppose 2*g - 3*w - 27 = 0, -g + 5*w - 4*w + 16 = 0. Factor 10 + 9*r**2 - 2*r + 11 - g - 7*r**3.
-r*(r - 1)*(7*r - 2)
Suppose 4*v = -4*i + 8, 2*i - 31 + 6 = -5*v. Let s = -261 + 267. Factor -39*r**2 + 2*r**3 + 0*r**3 + 9*r**2 - s + v*r**3 + 27*r.
3*(r - 2)*(r - 1)*(3*r - 1)
Let z be (12/10)/(-1 - 73/(-70)). Let p be (18/z)/((-12)/(-126)). What is h in 3/2 - 33/4*h + p*h**2 = 0?
2/9, 1
Let b(j) be the third derivative of j**7/490 + j**6/56 - 5*j**5/28 - 5*j**4/56 + 12*j**3/7 + 1718*j**2. What is z in b(z) = 0?
-8, -1, 1, 3
Let u(y) be the third derivative of y**6/600 + y**5/10 + 91*y**4/40 + 392*y**3/15 - 930*y**2. Determine q so that u(q) = 0.
-16, -7
Let f be (112/156)/1 - 1. Let h = f - -161/156. Factor 3/2*m + h*m**2 + 0.
3*m*(m + 2)/4
Let v = 76 + -72. Suppose 95*t**v + 3*t + 3*t**5 - 83*t**4 - 30*t**2 + 18 - 6*t = 0. What is t?
-3, -2, -1, 1
Let i(c) be the third derivative of -c**6/720 - 3*c**5/8 + 103*c**4/36 - 23*c**3/3 + 681*c**2 + c. Factor i(y).
-(y - 2)*(y - 1)*(y + 138)/6
Suppose -2*r + 18 = 2*g, -7*r + 9*r - 2*g = 34. Solve 5*c**2 - c**5 + r*c**3 + 0*c**3 + 5*c**4 + 4*c**2 - 2*c**2 = 0 for c.
-1, 0, 7
Let v(j) = -150*j + 945. Let y(i) = 21*i - 135. Let b(t) = 2*v(t) + 15*y(t). Let f be b(9). Find n, given that 0*n + 1/4*n**3 + 0*n**2 + f = 0.
0
Factor 3280*n + 3038 + 92*n**3 + 150*n**3 - 2134*n**2 - 4438.
2*(n - 7)*(11*n - 10)**2
Let k(q) be the first derivative of 2*q**3/3 + 427*q**2/3 + 284*q/3 + 673. Let k(j) = 0. What is j?
-142, -1/3
Let x = 26943 + -350547/13. Let l = x - -877/39. Let 2/3 + 1/3*b**4 - l*b + 1/3*b**3 - b**2 = 0. What is b?
-2, -1, 1
Let h(m) be the second derivative of -m**4/48 + 41*m**3/2 - 15129*m**2/2 - 1618*m. Let h(q) = 0. What is q?
246
Let h(s) be the second derivative of s**5/12 - 5*s**4/4 + 25*s**3/6 - 103*s**2/2 - 34*s. Let b(p) be the first derivative of h(p). Factor b(n).
5*(n - 5)*(n - 1)
Find t, given that 0 + 4/3*t**2 - 212/3*t = 0.
0, 53
Let a(j) be the second derivative of j**6/90 + 23*j**5/60 + 5*j**4/9 - 22*j**3/9 - 98*j + 11. Solve a(l) = 0.
-22, -2, 0, 1
Let m(h) be the first derivative of -20*h + 0*h**2 - 1/27*h**4 - 2/27*h**3 + 2. Let k(s) be the first derivative of m(s). Factor k(x).
-4*x*(x + 1)/9
Let v(j) = 15*j**3 - 145*j**2 + 245*j - 115. Let k(a) = -a**3 - 4 + 1117*a + 3 + a**2 - 1116*a. Let t(f) = 20*k(f) + v(f). Determine o, given that t(o) = 0.
-27, 1
Factor 16/7*b**2 + 124/7*b - 20/7*b**3 + 24/7.
-4*(b - 3)*(b + 2)*(5*b + 1)/7
Let m(t) be the third derivative of 11/18*t**4 + 4/3*t**3 - 19*t**2 + 1/630*t**7 - 4*t + 1/40*t**6 + 1/6*t**5 + 0. Factor m(a).
(a + 2)**3*(a + 3)/3
Let z(x) = -6*x**3 + 66*x**2 + 34*x - 16. Let q(a) = -2*a**2 - a. Let p be -6*2*3/(-18). Let l(s) = p*z(s) + 44*q(s). Determine v so that l(v) = 0.
-1, 2/3, 4
Suppose 8256/5*x - 5680128/5 - 3/5*x**2 = 0. What is x?
1376
Let z(s) be the first derivative of -32/3*s**3 + 0*s + 0*s**2 - 34 + s**4. Factor z(r).
4*r**2*(r - 8)
Suppose 4*j + 3*r = 125, -5*j + 173 = -5*r + 8. Suppose 122*q = 130*q - j. Factor 0*k - 4/3*k**q + 5/3*k**3 - 1/3*k**2 + 0.
-k**2*(k - 1)*(4*k - 1)/3
Let 104316 + 48808 + 47854 + 1019*a + 249*a + 2*a**2 = 0. What is a?
-317
Let p(b) be the second derivative of 5/42*b**7 + 2 + 0*b**2 + 1/60*b**5 + 23/45*b**6 + 0*b**3 + 82*b - 1/6*b**4. Let p(z) = 0. What is z?
-3, -2/5, 0, 1/3
Let k(m) be the second derivative of -m**6/10 + 54*m**5/5 - 198*m**4 - 9072*m**3 - 95256*m**2 + 880*m. Factor k(j).
-3*(j - 42)**2*(j + 6)**2
Suppose 33*i + 52*i = 120*i. Solve 8/7*v**3 + 0*v**2 - 2/7*v**4 + 0*v + i = 0.
0, 4
Let f be (162/(-1836))/((-104)/32 - -3). Factor -2/17*m**4 - f*m**3 + 10/17*m**2 + 2/17*m**5 - 4/17*m + 0.
2*m*(m - 1)**3*(m + 2)/17
Suppose -100*q = 12*q. Let w(l) be the third derivative of -2/105*l**7 + 0*l - 1/120*l**6 + 0*l**3 + 1/24*l**4 + q - 8*l**2 + 1/15*l**5. Factor w(x).
-x*(x - 1)*(x + 1)*(4*x + 1)
Let d = -18 + 1. Let h = d - -19. Factor 3*k**h + k**2 + 20*k**4 + 25*k**3 + k**2.
5*k**2*(k + 1)*(4*k + 1)
Let c(w) be the second derivative of w**5/10 - 539*w**4/6 + 24120*w**3 + 72900*w**2 + 22*w - 18. Determine l, given that c(l) = 0.
-1, 270
Let t(d) be the first derivative of 2*d**5/5 - 9*d**4/2 - 1035. Factor t(b).
2*b**3*(b - 9)
Let b(u) be the second derivative of -u**5/20 + u**4/4 + 3*u**3/2 - 27*u**2/2 + 4*u - 157. Suppose b(v) = 0. Calculate v.
-3, 3
Let b(f) be the first derivative of f**3/9 + 43*f**2/2 + 254*f/3 - 759. Factor b(g).
(g + 2)*(g + 127)/3
Let v(h) be the first derivative of -h**4/2 + 56*h**3/3 + h**2 - 56*h + 392. Factor v(r).
-2*(r - 28)*(r - 1)*(r + 1)
Let l(s) = 20*s - 2. Let d be l(-1). Let k = d - -40. Factor -5 - 19*y - k*y**3 + 39*y**2 - 17*y + 3*y**4 + 17.
3*(y - 2)**2*(y - 1)**2
Let q(x) be the second derivative of -x**4/20 + 153*x**3/10 - 135*x**2 + 754*x - 1. Solve q(d) = 0 for d.
3, 150
Let i = 237 + -1117. Let c be (24/5)/((-1232)/i). Find q, given that -3/7*q**2 - 3/7*q**3 + c*q + 36/7 = 0.
-2, 3
Let b(r) = 2*r**2 + 246*r +