 + 11)/2
Let v = -3987811/3 + 1329391. Suppose -3266/3*i + 1058/3 - 8/3*i**4 - 1318*i**2 + v*i**3 = 0. Calculate i.
-1, 1/4, 23
Let x(l) be the third derivative of -105*l**2 + 0 + 0*l**3 + 1/70*l**5 + 0*l + 2/245*l**7 + 0*l**4 - 1/784*l**8 - 1/56*l**6. Solve x(w) = 0 for w.
0, 1, 2
Let y be 2/(-42)*(0 - 3). Let v be 6/(-7) - (-98160)/34356. Let y*l - 2/7*l**v + 0 + 1/7*l**3 = 0. Calculate l.
0, 1
Let r = 32984/5 + -6596. Factor -r + 2/5*b**2 + 2/5*b.
2*(b - 1)*(b + 2)/5
Let y(q) = 4*q**4 + 3*q**3 + 21*q**2 - 13*q - 40. Let z(c) = c**4 - c**3 - c - 4. Let d(f) = -y(f) + 5*z(f). Solve d(o) = 0 for o.
-2, -1, 1, 10
Let i = -1083503 + 2167025/2. Determine j, given that i*j**2 + 46 - 44*j + 1/2*j**3 = 0.
-23, 2
Let m(z) be the third derivative of -1/210*z**5 + 0*z**3 + 5/84*z**4 - 72*z**2 + 2 + 0*z. Find u such that m(u) = 0.
0, 5
Let y = -267420 - -802261/3. Factor -11/3*i + 4*i**2 - y*i**3 + 0.
-i*(i - 11)*(i - 1)/3
Suppose 6 = 4*t - 2, 21 = x - 3*t. Factor 85 - 30*z + x*z**2 - 4 + 12*z - 26*z**2.
(z - 9)**2
Let k(u) be the third derivative of 11/180*u**5 - 3*u**2 + 11/72*u**4 + 23 + 0*u + 1/9*u**3 - 7/360*u**6 - 13/630*u**7 - 1/252*u**8. What is j in k(j) = 0?
-2, -1, -1/4, 1
Let k(j) be the second derivative of 35/24*j**4 - j + 325/24*j**3 - 31 + 125/2*j**2 + 1/16*j**5. Factor k(r).
5*(r + 4)*(r + 5)**2/4
Let 74/11*c**3 + 24/11*c**4 - 72/11*c + 224/11 - 2/11*c**5 - 248/11*c**2 = 0. Calculate c.
-4, -1, 1, 2, 14
Let m = -142 + 146. Suppose -2*y - m*c + 16 = 0, -c + 14 = 3*y - 0*y. Suppose 44/3*b**3 + 16*b**2 + 16/3*b + 4*b**y + 0 = 0. Calculate b.
-2, -1, -2/3, 0
Suppose -5*m = -2*s - 27 + 45, -5*m = -s + 14. Suppose 4*k + 4*c - 21 = -5, 0 = 2*k - c + s. Factor k - 6/5*d**5 + 2/5*d**2 - 2/5*d**3 + 0*d - 2*d**4.
-2*d**2*(d + 1)**2*(3*d - 1)/5
Let a(s) be the second derivative of 10*s + 0*s**2 + 0 - 1/20*s**5 + 5/24*s**4 - 1/6*s**3. Suppose a(x) = 0. What is x?
0, 1/2, 2
Suppose -5*n + p = -1925, 6*n - 1178 = 3*n - 4*p. Let u = n + -384. Factor -1/2*o**u + 0 + 1/4*o**3 + 1/4*o.
o*(o - 1)**2/4
Suppose -12*z + 19 = h - 8*z, 8 = 2*z. Let s(t) = 32*t**2 + 1518*t + 424. Let o(j) = -63*j**2 - 3037*j - 846. Let c(n) = h*o(n) + 7*s(n). Solve c(r) = 0.
-43, -2/7
Let z be 51/(-5) + (-11 - (-52 - -28)). Let r be 2 - (0/1)/(-1). Determine n so that 0 + 8/5*n**4 + 2/5*n - z*n**3 + 4/5*n**r = 0.
-1/4, 0, 1
Let a = 26 - -271. Let v = -293 + a. Solve 0 + 2/7*d**3 + 2/7*d**v - 2/7*d**2 - 2/7*d**5 + 0*d = 0.
-1, 0, 1
Let i(u) be the first derivative of -3/2*u**4 - 21*u - 21/5*u**5 + 14*u**3 + 1/2*u**6 + 129 + 3/2*u**2. Solve i(x) = 0.
-1, 1, 7
Let s(b) be the second derivative of 1/21*b**3 + 1/84*b**4 + 9*b + 0 - 3/14*b**2. Find q such that s(q) = 0.
-3, 1
Let k(m) be the third derivative of m**5/480 - 7*m**4/48 - 31*m**3/16 - 3*m**2 + 286. Determine y, given that k(y) = 0.
-3, 31
Let v = -208/31 - -4430/651. Let h(r) be the second derivative of 0*r**5 + 4/3*r**4 - 32*r + 0*r**3 + v*r**7 + 0*r**2 - 2/5*r**6 + 0. Factor h(g).
4*g**2*(g - 2)**2*(g + 1)
Suppose -133 = -16*h - 37. Let g be ((-72)/189)/(h/(-9)). Suppose -8/7*b**3 + 2/7*b**5 + 6/7*b - 4/7*b**2 + 0*b**4 + g = 0. Calculate b.
-1, 1, 2
Factor 199 + 987*d**2 - 62*d**2 + 771 - 3405*d - 25*d**3 + 1535*d**2.
-5*(d - 97)*(d - 1)*(5*d - 2)
Let a(p) be the second derivative of p**6/90 + p**5/20 - 71*p**4/36 - p**3/6 + 35*p**2/3 + 3526*p. Let a(j) = 0. Calculate j.
-10, -1, 1, 7
Suppose 0 = 2*r + 3*b - 3, 2*r - 4*b - 8 = -2*b. Find w, given that -293*w**r - 10*w - 291*w**3 + 589*w**3 - 5*w**2 = 0.
-1, 0, 2
Let p be -4*((-1209)/(-240) + -5) - 26/(-65). Factor -1/2*y - p*y**2 + 3/4.
-(y - 1)*(y + 3)/4
Let g(i) be the third derivative of 121*i**5/150 + 1166*i**4/15 + 44944*i**3/15 + 2*i**2 - 1287*i. Factor g(q).
2*(11*q + 212)**2/5
Let j(s) be the third derivative of 7*s**6/780 + s**5/78 - 43*s**4/78 + 8*s**3/13 + 9*s**2 + 6*s - 2. Factor j(h).
2*(h - 3)*(h + 4)*(7*h - 2)/13
Let w(t) be the second derivative of -4*t - 16/3*t**3 - 19/10*t**5 - 1/21*t**7 + 4*t**2 - 5 + 7/15*t**6 + 25/6*t**4. Let w(x) = 0. What is x?
1, 2
Let z(q) be the first derivative of -q**4/6 + 34*q**3/9 - 16*q**2/3 + 643. Factor z(b).
-2*b*(b - 16)*(b - 1)/3
Let c(y) be the third derivative of -y**6/180 - y**5/30 + 4*y**4/9 + 16*y**3/3 - 142*y**2 - 22. Factor c(g).
-2*(g - 4)*(g + 3)*(g + 4)/3
Let s(x) = -6*x**2 + 84*x + 2. Let m(g) = -29*g**2 + 85*g + 4. Let w(r) = 4*m(r) - 5*s(r). Factor w(a).
-2*(a + 1)*(43*a - 3)
Let g(l) be the second derivative of l**7/168 - 7*l**6/60 + 4*l**5/5 - 19*l**4/8 + 21*l**3/8 + 5446*l. Suppose g(p) = 0. What is p?
0, 1, 3, 7
Let l(c) be the first derivative of -59 - 100/3*c - 85*c**2 - 11/6*c**4 + 24*c**3. Determine j so that l(j) = 0.
-2/11, 5
Let m be (-2)/((-4)/6*1). Suppose 15*j - 33 = -m. Find b such that -3/5*b - 1/5*b**j - 2/5 = 0.
-2, -1
Suppose -36*o + 3 = -105. Suppose 2*l + 2*b - 7*b - 11 = 0, 5 = o*l + 4*b. Factor 6*s + 3/2*s**l + 6*s**2 + 0.
3*s*(s + 2)**2/2
Let d(k) = 19*k - 4. Suppose 0 = 5*a - 4*a - 3. Let m be d(a). Factor h**3 - 11*h**3 - 27*h**2 - 320*h - m*h**2 + 5*h**3.
-5*h*(h + 8)**2
Let g(r) = -3*r**3 - 8787*r**2 - 8776*r + 16. Let h(x) = 5*x**3 + 17575*x**2 + 17555*x - 30. Let k(i) = 15*g(i) + 8*h(i). Factor k(j).
-5*j*(j - 1760)*(j + 1)
Factor -1318*g - 12*g**2 - 2792*g + 10*g**2 + 298266 - 302374.
-2*(g + 1)*(g + 2054)
Let r = 26 + -16. Suppose 29 + 131 = r*p. Factor 8*t**4 - 20*t**2 + p - 159*t + 0*t**4 + 2*t**3 + 151*t + 2*t**5.
2*(t - 1)**2*(t + 2)**3
Let w(y) be the third derivative of -y**7/840 - 11*y**6/480 - 37*y**5/240 - 15*y**4/32 - 3*y**3/4 - 404*y**2. Determine o so that w(o) = 0.
-6, -3, -1
Let z = 555655/740884 - -2/185221. Factor 0 - z*c**3 - 3/2*c - 9/4*c**2.
-3*c*(c + 1)*(c + 2)/4
Suppose -39478 = -24*i - 39478. Let w(z) be the first derivative of 0*z**3 + 4/15*z**5 + 0*z + i*z**2 + 30 - 1/3*z**4. Solve w(k) = 0.
0, 1
Let x(h) be the first derivative of 6 + 20/3*h**3 - 2/5*h**5 - 48*h - 1/2*h**4 + 4*h**2. Factor x(n).
-2*(n - 2)**2*(n + 2)*(n + 3)
Suppose -29*r**4 - 3*r**5 - 6*r**4 - 22*r**4 + 60*r**4 = 0. Calculate r.
0, 1
Let n be 16/(-36) + ((-11088)/324)/(-77). Factor n + 3/7*t + 3/7*t**2.
3*t*(t + 1)/7
Suppose -96/13*d**3 - 530/13 + 532/13*d**2 + 96/13*d - 2/13*d**4 = 0. What is d?
-53, -1, 1, 5
Let x(t) be the second derivative of -3/5*t**3 + 7/20*t**4 - t + 0*t**2 - 3/100*t**5 - 16. Find g, given that x(g) = 0.
0, 1, 6
Factor 248/11*t + 2/11*t**3 - 192/11 - 58/11*t**2.
2*(t - 24)*(t - 4)*(t - 1)/11
Let i(r) be the second derivative of 1/180*r**5 - 15/2*r**2 + 0 + 0*r**3 + r - 1/72*r**4. Let m(c) be the first derivative of i(c). Find w, given that m(w) = 0.
0, 1
Let k(g) = g**2 - 8*g - 14. Let x(j) = 6*j**2 - 40*j - 69. Let t be 6/2 + (-15)/3. Let y(a) = t*x(a) + 11*k(a). Factor y(u).
-(u + 4)**2
Let a(j) be the third derivative of -j**9/60480 - j**8/20160 + 4*j**5/5 - j**3/3 - 252*j**2. Let i(l) be the third derivative of a(l). Factor i(w).
-w**2*(w + 1)
Suppose 0 = 24*h + 25 - 145. Find k such that 1 + 102*k**2 - h + 6*k - 296*k**2 + 95*k**2 + 97*k**2 = 0.
1, 2
Let k = 4043872/22241417 - -2/2021947. Let 0*r - k*r**2 + 18/11 = 0. Calculate r.
-3, 3
Let l(r) be the third derivative of -r**7/70 + 77*r**5/20 + 27*r**4 + 70*r**3 - 9399*r**2. Let l(j) = 0. What is j?
-7, -2, -1, 10
Let -329/4*g**4 + 17*g**2 - 283/2*g**3 + 297/4*g**5 + 2*g + 0 = 0. What is g?
-1, -2/27, 0, 2/11, 2
Let f be (544/(-48) - -13)/(13/(-390)*-25). Solve 4/3*k**f + 0 + 16/3*k - 4*k**3 = 0 for k.
-1, 0, 4/3
Factor 2/5*j**3 + 0 - 114/5*j**2 + 0*j.
2*j**2*(j - 57)/5
Let w(u) = u**3 - 5*u + 4. Let b be w(3). What is k in 4*k**5 + b*k**4 + 18*k**3 - 43*k**3 + 37*k**3 = 0?
-3, -1, 0
Suppose 52573*l**3 - 51853*l**3 + 278*l**2 + 200*l + 85*l**4 - 1263*l**2 - 20*l**5 = 0. Calculate l.
-5, 0, 1/4, 1, 8
Suppose 864*b + 84 = 892*b. Let j(a) be the first derivative of -3 + 5/3*a + 0*a**2 - 5/9*a**b. Let j(o) = 0. What is o?
-1, 1
Let g = -336 - -483. Factor 68*d - g*d - 63*d**2 + 18 + 46*d.
-3*(3*d - 1)*(7*d + 6)
Suppose 269*g - 291*g = -2464. Let d be 2/(-14) + 15 + (-1328)/g. Factor 4/7 - 4/7*a**2 + 2/7*a**d - 2/7*a.
2*(a - 2)*(a - 1)*(a + 1)/7
Factor 65 - 22*m + 13 - 12*m**3 + 301*m - 135*m**2.
-3*(m - 2)*(m + 13)*(4*m + 1)
Let y be 16/(96/6) + 110/(-130). Factor -4/13*x - 6/13 + y*x**2.
2*(x - 3)*(x 