ctor 50 - 10*v + 1/2*v**x.
(v - 10)**2/2
Let y(j) = -66*j + 466. Let n be y(7). Let v(u) be the second derivative of -1/14*u**n - 3/14*u**3 - 3/14*u**2 + 0 + 11*u. Determine t, given that v(t) = 0.
-1, -1/2
Suppose -4*x - 2*x**3 + 69 + 4*x**3 + 267 + 2*x**3 - 176 - 160*x**2 = 0. Calculate x.
-1, 1, 40
Let g be (-21)/(-1008)*24*114/3. Let u(b) be the third derivative of 0*b**3 - 1/24*b**6 - 3/4*b**5 + 0 + 0*b - 5/3*b**4 + g*b**2. Let u(s) = 0. What is s?
-8, -1, 0
Let y(d) = 6*d**2 - 7. Let g be y(-5). Factor 156*s**2 - 4*s**3 + 475 - 1025*s - g - 1932 - 415*s.
-4*(s - 20)**2*(s + 1)
Factor -2190 - 4375*c + 193*c**2 + 5*c**3 - 777*c**2 - 1596*c**2.
5*(c - 438)*(c + 1)**2
Let x be 6*(6/(-11) + 1560/1287). Let g(y) be the third derivative of -1/6*y**3 + 1/8*y**x + 0 + 0*y - 7/480*y**6 + 9*y**2 + 3/80*y**5. Factor g(s).
-(s - 2)*(s + 1)*(7*s - 2)/4
Let x = 187 + -185. Let s be (6/x)/((-39)/(-6) - 5). Determine v, given that -s*v**4 + 8/5 - 6/5*v**5 + 18/5*v**2 + 22/5*v**3 - 32/5*v = 0.
-2, 1/3, 1
Let d(q) be the third derivative of -3/10*q**5 + 0 + 529/15*q**3 + 204*q**2 - 161/20*q**4 - 1/300*q**6 + 0*q. Find m, given that d(m) = 0.
-23, 1
Solve -1201 + 1935*q + 3190*q**3 - 5*q**5 + 2395 - 4500*q**2 - 620*q**4 - 1194 = 0.
-129, 0, 1, 3
Suppose -3694*a + 66 = -3683*a. Let u(k) be the second derivative of 1/190*k**5 - 1/285*k**a + 3*k - 1/57*k**3 + 1/114*k**4 + 0*k**2 + 0. Factor u(b).
-2*b*(b - 1)**2*(b + 1)/19
Let w = -275 + 192. Let t = w + 96. Determine a, given that -1 + 54*a**3 + 36*a - 12*a**5 + t - 28*a**2 - 78*a**3 + 45*a**4 - 29*a**2 = 0.
-1, -1/4, 1, 2
Let n be (-132)/44 - 83*10/(-276). Let w(o) be the second derivative of 0 + 4/69*o**3 + n*o**4 + 16*o + 0*o**2. Solve w(l) = 0.
-4, 0
Let v = 197 - 10. Determine c so that -393*c - 18 + v*c - 2*c**2 + 194*c = 0.
-3
Suppose 0 = 146*a - 130*a - 48. Let r(c) be the second derivative of 0 + 1/5*c**5 - 1/3*c**a + 0*c**6 + 0*c**2 + 14*c - 1/21*c**7 + 0*c**4. Factor r(s).
-2*s*(s - 1)**2*(s + 1)**2
Suppose 0*n = 2*c + 5*n - 26, 5*n = 20. Determine d, given that -6303*d - d**c - 510 + 3417*d - d**3 + 154*d**2 - 2532 = 0.
-1, 39
Let w(h) be the second derivative of -5/48*h**4 + 0*h**2 + 2*h + 140 - 305/24*h**3. Factor w(q).
-5*q*(q + 61)/4
Let t(s) = 10*s**2 - 1132*s - 4*s**4 + 1112*s + s**4 + 8. Let m(f) = -3*f**4 + f**3 + 10*f**2 - 20*f + 8. Let g(q) = -5*m(q) + 4*t(q). Let g(y) = 0. What is y?
-2, 2/3, 1, 2
Let h be 20/800*12*(96/(-9))/(-4). Let w(s) be the first derivative of -20 + h*s**5 - 9/2*s**4 + 10*s**3 + 6*s - 11*s**2. Factor w(u).
2*(u - 1)**3*(2*u - 3)
Let t(u) be the third derivative of 41*u**6/90 - 7*u**5/5 + u**4/6 + 43*u**3/6 + 10*u**2 - 4*u. Let w(v) be the first derivative of t(v). Factor w(f).
4*(f - 1)*(41*f - 1)
Factor -73708 - 219112 - 5*c**2 + 3586395*c - 3588815*c.
-5*(c + 242)**2
Suppose 68*t - 281 - 14 = 45. Let d(z) be the second derivative of 24*z**3 - 4/5*z**t + 0 + 23/6*z**4 + 1/30*z**6 - 37*z + 81/2*z**2. Factor d(c).
(c - 9)**2*(c + 1)**2
Factor 2586238 + 11570*j + 1094582 + 10*j**2 - 2990*j + j**2 - 6*j**2.
5*(j + 858)**2
Find s, given that 33981/7*s + 15/7*s**3 + 1419/7*s**2 + 19881/7 = 0.
-47, -3/5
Let o(k) be the first derivative of -11*k**3/5 + 199*k**2/10 - 6*k/5 - 6190. Determine p, given that o(p) = 0.
1/33, 6
Let a(v) be the second derivative of v**7/168 - 11*v**6/120 + 11*v**5/40 + 13*v**4/8 - 93*v**3/8 + 189*v**2/8 - 697*v. Suppose a(z) = 0. What is z?
-3, 1, 3, 7
Let m(i) be the first derivative of i**3 + 381*i**2 - 1536*i + 2104. Find b such that m(b) = 0.
-256, 2
Let z(y) be the second derivative of -y**3/3 - 3*y**2 - 3*y. Let r be z(-4). Factor -119 - 80*u - 136 - 5*u**r - 65.
-5*(u + 8)**2
Let l be 0 - (1 + -12 + 11). Let b(m) = -m**3 + 25*m**2 + 2. Let u be b(25). Solve 6/13*d - 8/13*d**u + 2/13*d**3 + l = 0 for d.
0, 1, 3
Let i(t) be the third derivative of 0*t**3 - 38*t**2 - 1/480*t**6 + 1/240*t**5 - 1/840*t**7 + 1/1344*t**8 + 0 + 0*t**4 + 0*t. Factor i(z).
z**2*(z - 1)**2*(z + 1)/4
Let k(f) = f**3 + 6*f**2 + 5*f + 9. Let u be k(-5). Let p = 14 - u. Suppose -5*g + 2 - g**5 + g**3 + 9*g**p + 0 + 11*g**4 - 13*g**2 - 4*g**5 = 0. What is g?
-2, -1, 1/4, 1
Let h = -923 - -932. Suppose -h*r = -48 + 21. What is j in -16/3*j + 0 + 2/3*j**4 - 8/3*j**2 + 4/3*j**r = 0?
-2, 0, 2
Suppose 57*f - 5*f**3 + 85*f**2 - 165*f - 47*f - 68 + 143 = 0. What is f?
1, 15
Let c(r) be the third derivative of -r**5/300 - 41*r**4/3 - 67240*r**3/3 - 3*r**2 + 671. Solve c(j) = 0.
-820
Let d(x) = 2*x**3 - 8*x**2 - 27*x + 41. Let m be d(6). Let f(w) be the second derivative of -m*w - 5/12*w**4 + 0 - 5*w**2 - 5/2*w**3. Factor f(z).
-5*(z + 1)*(z + 2)
Let k be (-5)/((-28)/(-9) + -3). Let o be (3/9)/((-3)/k). Factor -5*x**o - x - 9*x + 25*x**4 - 45*x**3 + 97*x**2 - 62*x**2.
-5*x*(x - 2)*(x - 1)**3
Suppose 0 = 280537*a - 280440*a. Let a - 2/13*q**2 + 6/13*q = 0. Calculate q.
0, 3
Suppose -20 = -6*b - 4*b. Factor -120*p**3 + 784 + 896*p - 8*p**2 + 124*p**3 + 124*p**b.
4*(p + 1)*(p + 14)**2
Let n(f) = 2*f**2 - 6426*f + 178370. Let w be n(28). Find k such that 16/3*k**2 - 13/3*k - 1/3*k**3 - w = 0.
-1, 2, 15
Let y(x) be the second derivative of 2 - 3*x + 42*x**2 + 1/28*x**4 - 2*x**3. Factor y(o).
3*(o - 14)**2/7
Let t(i) be the first derivative of 3*i**5/5 - 15*i**4/2 + 28*i**3 - 36*i**2 - 9675. Determine o, given that t(o) = 0.
0, 2, 6
Let o(f) be the second derivative of f**6/20 - 2427*f**5/20 - 1215*f**4/2 - 2431*f**3/2 - 4863*f**2/4 - 14712*f. Suppose o(g) = 0. Calculate g.
-1, 1621
Let m(x) be the third derivative of -x**8/72 - 23*x**7/315 + 11*x**6/90 + 46*x**5/45 + 2*x**4/3 + 1745*x**2. Solve m(p) = 0.
-3, -2, -2/7, 0, 2
Let z(m) be the first derivative of 0*m + 3 + 1/25*m**5 + 0*m**2 - 3/10*m**4 + 0*m**3. Factor z(h).
h**3*(h - 6)/5
Let 39*g - 24*g**3 + 129*g**4 - 244*g**4 + 33*g**2 + 118*g**4 - 36 - 15*g**3 = 0. Calculate g.
-1, 1, 12
Suppose 6 = -2*y - 3*c + 18, 0 = 3*y - 4*c - 1. Let g(j) be the first derivative of 0*j - 3 + 20/3*j**y - 1/2*j**4 - 25*j**2. What is p in g(p) = 0?
0, 5
Factor -226/13*q**3 - 2/13*q**4 + 0*q - 872/13*q**2 + 0.
-2*q**2*(q + 4)*(q + 109)/13
Suppose 6*p = 26*p - 7*p + 20*p. Suppose -1/3*d**3 + p*d**2 + d + 2/3 = 0. What is d?
-1, 2
Let k(c) be the first derivative of 78 - 37/8*c**4 + 6*c**2 + 5/3*c**3 + 3/10*c**5 + 0*c. Factor k(o).
o*(o - 12)*(o - 1)*(3*o + 2)/2
Let o(f) be the third derivative of f**5/15 + 19*f**4/3 - 1080*f**2. Suppose o(d) = 0. Calculate d.
-38, 0
Factor -3/5*k**2 + 201/5*k - 201/5*k**3 + 0 + 3/5*k**4.
3*k*(k - 67)*(k - 1)*(k + 1)/5
Let r(d) be the first derivative of -d**6/8 + 33*d**5/20 + 75*d**4/16 + 13*d**3/4 - 380. Suppose r(w) = 0. What is w?
-1, 0, 13
Solve -34 - 5*v**2 + 23 + 16*v - 46 + v**3 + 19*v**2 - 39 = 0 for v.
-12, -4, 2
Let m be (6/4)/((-3)/(-8)). Suppose 63 = 41*f - 224. Let l(i) = 2*i**2 + 35*i + 98. Let s(k) = -k**2 - 18*k - 49. Let x(o) = f*s(o) + m*l(o). Factor x(n).
(n + 7)**2
Let w(x) be the second derivative of 3*x + 1 + 55/3*x**3 - 100*x**2 - 5/12*x**4. Solve w(o) = 0 for o.
2, 20
Suppose -642/7*o**2 - 646/7 + 1290/7*o - 2/7*o**3 = 0. Calculate o.
-323, 1
Let z = 418827 - 2087221/5. Let l = -1378 + z. Solve -2/5 + l*x**2 + 22/5*x = 0.
-1, 1/12
Let z be 14/(-133) + 4*(-334)/(-1140). Let a = 26/15 - z. Solve 1/3*b + a - 1/3*b**2 = 0.
-1, 2
Let h(o) be the third derivative of -o**7/1365 - o**6/260 + 41*o**5/390 + o**4/52 - 40*o**3/39 - 5*o**2 + 44. Find x, given that h(x) = 0.
-8, -1, 1, 5
Let k = 8858 - 8856. Let g(o) be the second derivative of 0*o**3 + 0 + 0*o**4 - 15*o + 1/35*o**6 + 0*o**k - 1/70*o**5 + 4/147*o**7. Factor g(w).
2*w**3*(w + 1)*(4*w - 1)/7
Let z be -1 + ((-32)/4 - -3)*-1. Suppose 3*j**5 + 15*j**z + 249 - 249 + 6*j**5 - 33*j**3 + 9*j**2 = 0. Calculate j.
-3, 0, 1/3, 1
Let y(n) be the first derivative of -n**4/4 - 19*n**3/2 + 26*n + 68. Let a(s) be the first derivative of y(s). Factor a(d).
-3*d*(d + 19)
Let 38/11*z**2 - 6/11*z**3 - 14/11 + 30/11*z = 0. What is z?
-1, 1/3, 7
Let c(f) = -48*f**4 + 159*f**3 + 363*f**2 + 174*f. Let j(q) = -11*q**4 + 40*q**3 + 91*q**2 + 44*q. Let o(l) = -2*c(l) + 9*j(l). Factor o(u).
-3*u*(u - 16)*(u + 1)**2
Let k(t) = 4*t + 3. Let h(o) = o**2 + 349*o - 18. Let w(u) = -h(u) - 6*k(u). Factor w(m).
-m*(m + 373)
Factor -240818 - 4240*q + 4*q**2 + 5628*q - 6*q*