e second derivative of 5*r**7/42 - r**6/6 - 3*r**5/2 + 5*r**4/3 + 20*r**3/3 + 2099*r. Factor v(n).
5*n*(n - 2)**2*(n + 1)*(n + 2)
Let n be (5019/294 + -17)/((-20)/(-42)). Let h(l) be the second derivative of -11*l + 6*l**3 + 0 + n*l**5 + 3/2*l**4 + 12*l**2. Let h(w) = 0. What is w?
-2
Let i(a) = -7*a**2 - 2*a - 5. Let l(y) = 5*y**2 + 4. Let v(x) = -2*i(x) - 3*l(x). Let n be v(2). Suppose -2*s + 3/2*s**n - 2 = 0. Calculate s.
-2/3, 2
Let q(r) = 178*r**2 - 1492*r - 96. Let u(i) = 5*i**2. Let l(h) = -q(h) - 2*u(h). Factor l(p).
-4*(p - 8)*(47*p + 3)
Let f(w) be the second derivative of 0 - 1/78*w**4 + 4/13*w**3 + w**2 - 23*w. Factor f(s).
-2*(s - 13)*(s + 1)/13
Suppose -508*v = -524*v + 80. Let b(j) be the third derivative of 1/140*j**v + 0 + 0*j**3 - 1/56*j**4 + 0*j + 7*j**2. Find w such that b(w) = 0.
0, 1
Solve 839*j + 508*j - 25*j**3 - 147*j**2 - 2*j**3 - 1197 + 24*j**3 = 0.
-57, 1, 7
Let o(k) be the third derivative of -55/24*k**4 - 1/4*k**5 + 5*k**3 + 11/24*k**6 + 42*k**2 + 0 - 1/14*k**7 + 0*k. Suppose o(n) = 0. What is n?
-1, 2/3, 1, 3
Let s be (75/15 - (-1 + -1)) + -57. Let z be (-120)/75 + (-155)/s. Determine d so that -18 + 15/2*d**2 + z*d**3 - 12*d = 0.
-6, -1, 2
Factor -20*h**3 + 10347*h - 14410 - 4551*h + 200*h**2 - 4861*h + 4295.
-5*(h + 7)*(2*h - 17)**2
Let r(p) = -14*p**3 + 272*p**2 - 370*p + 106. Let z(d) = -13*d**3 + 270*d**2 - 371*d + 109. Let c(t) = -5*r(t) + 6*z(t). Factor c(i).
-4*(i - 31)*(i - 1)*(2*i - 1)
Let u = -53 + 55. Factor -b**4 - 7*b**2 - b**3 - 3*b**3 + 4*b**2 - u*b - 2*b**2.
-b*(b + 1)**2*(b + 2)
Suppose -208*b + 616 - 252 + 260 = 0. Let v(w) be the first derivative of 0*w**b + 0*w**2 + 0*w + 2/45*w**5 + 21 + 0*w**4. Find g, given that v(g) = 0.
0
Let i(x) be the first derivative of x**7/56 - 37*x**6/120 + 37*x**5/20 - 3*x**4 + 2*x**3/3 + x + 56. Let l(a) be the third derivative of i(a). Factor l(m).
3*(m - 4)*(m - 3)*(5*m - 2)
Let s = 1626 - 1622. Let w(x) be the second derivative of 0 - 2/5*x**6 - 1/21*x**7 + 4*x**3 - 1/3*x**s + 7*x - 11/10*x**5 + 8*x**2. Solve w(j) = 0 for j.
-2, -1, 1
Let x(k) = k**3 + 7*k**2 - 12. Let c be x(-5). Let l(u) be the first derivative of -c*u - u**4 + 12 - 4*u**3 + 0*u**4 - 39*u + 93*u. Factor l(t).
-4*(t - 1)*(t + 2)**2
Let x(s) be the second derivative of -34*s - 23/2*s**3 + 0*s**2 + 1/4*s**4 + 0. What is w in x(w) = 0?
0, 23
Let 1023*m**2 - 528*m + 1362*m**2 + 75 - 18*m**3 + 1104*m**2 + 1048*m**2 - 4066*m**2 = 0. What is m?
1/6, 1, 25
Suppose -27 = n - 25. Let q be ((-12)/(-56)*n)/((-4)/4). Factor q*p**2 + 3/7 + 6/7*p.
3*(p + 1)**2/7
What is o in 574243*o**2 - 155 - 1125 - 573803*o**2 + 2000*o - 35*o**3 = 0?
-4, 4/7, 16
Let p(g) = -261*g - 1303. Let f be p(-5). Factor 0 - 8/7*c + 6/7*c**f + 2/7*c**3.
2*c*(c - 1)*(c + 4)/7
Let n be 22 - 7 - (-2173)/(-164). Find k, given that n*k - 1 + 11/4*k**2 = 0.
-1, 4/11
Find q, given that 22*q + 7*q**3 - 30*q**4 + 5*q + 18*q**3 + 25*q + 8*q + 365*q**2 = 0.
-3, -1/6, 0, 4
Let d = 8508 - 51047/6. Let u(o) be the second derivative of 10/3*o**3 - 18*o + 25*o**2 + 0 + d*o**4. Factor u(q).
2*(q + 5)**2
Let r(f) = 2*f**3 + f - 1. Let a(j) = j**5 + 3*j**4 - 9*j**3 + 17*j**2 - 3*j - 3. Let i(p) = -2*a(p) + 6*r(p). Factor i(w).
-2*w*(w - 1)**3*(w + 6)
Let f(s) = -3*s**2 + 3*s + 4. Let c be f(0). Let b(d) be the first derivative of 4/3*d**2 + 1 - 2/3*d**3 + 8/3*d - 2/3*d**c - 2/15*d**5. Solve b(o) = 0.
-2, -1, 1
Suppose -1119*y - 535 = -1226*y. Let r(x) be the second derivative of -2*x + 3/5*x**2 - 1/10*x**4 - 1/15*x**3 - 1 + 1/50*x**y. Let r(h) = 0. Calculate h.
-1, 1, 3
Let l(y) = -70*y**2 - 160*y - 85. Let i be (35 - 33)/(0 - 3/9). Let p(f) = -71*f**2 - 161*f - 84. Let r(w) = i*l(w) + 5*p(w). Suppose r(t) = 0. Calculate t.
-18/13, -1
Suppose 19 = 3*p - 38. Let u be (-5)/(10/(-3) + 3). Factor 13 - u*r**2 - 14 - 54*r + 6 + p.
-3*(r + 4)*(5*r - 2)
Let g(f) be the second derivative of 1/240*f**5 + 0 + 10*f**2 - 1/32*f**4 + 14*f + 0*f**3. Let l(h) be the first derivative of g(h). Factor l(a).
a*(a - 3)/4
Let k(s) = s**2 + 5*s - 4. Let d be k(-6). Solve 2*i + 10*i**d - i - 6*i**3 - 5*i = 0 for i.
0, 2/3, 1
Let d be 8/(-24)*9 + 8. Let a(o) be the third derivative of 0*o**3 - 1/6*o**d - 13*o**2 + 0 + 0*o - 1/24*o**6 + 1/42*o**7 + 0*o**4. Suppose a(w) = 0. What is w?
-1, 0, 2
Determine d, given that -95/2*d**2 + 55/2*d**3 + 35/2*d**4 - 5/2*d**5 - 95*d - 40 = 0.
-1, 2, 8
Let n(b) be the third derivative of -b**8/504 + b**7/189 + 23*b**6/540 + 19*b**5/270 + b**4/27 - 8742*b**2. Let n(i) = 0. What is i?
-1, -1/3, 0, 4
Factor -25*v**2 + 138*v**3 - 843 + 30*v - 143*v**3 + 843.
-5*v*(v - 1)*(v + 6)
Let c(s) = -s**2 - 273*s - 16278. Let k be c(-88). Factor 34/5 + 3*g - 1/5*g**k.
-(g - 17)*(g + 2)/5
Factor 708*v + 45363*v**2 - 45361*v**2 + 1578*v.
2*v*(v + 1143)
Let m = 1613/3 + -1075/2. Let w(f) be the second derivative of 1/24*f**4 - 2*f - m*f**3 - 7 - 2*f**2. Factor w(y).
(y - 4)*(y + 2)/2
Let a(n) be the second derivative of 5*n**4/12 + 2275*n**3/3 - 4555*n**2/2 + 6592*n. Solve a(l) = 0.
-911, 1
Let n(g) be the second derivative of 63*g + 2/25*g**6 + 0 + 22/5*g**2 + 5*g**3 + 23/25*g**5 + 46/15*g**4 - 1/105*g**7. Suppose n(k) = 0. What is k?
-2, -1, 11
Let a be 149/(-7003) + 8/376. Solve 12 + a*g**2 - 6*g + 2/9*g**3 = 0 for g.
-6, 3
Let v(i) be the third derivative of -1/20*i**5 - 1/70*i**7 + 1/10*i**6 + 0 - 32*i**2 - 3/4*i**4 + 0*i**3 + 0*i. What is b in v(b) = 0?
-1, 0, 2, 3
Let o be (-7 - (-1078)/42 - 15) + -3. Factor 1/3 + o*l + 1/3*l**2.
(l + 1)**2/3
Let o(p) be the first derivative of -1/50*p**5 + 1/15*p**4 + 15 + 4/15*p**3 - 8/5*p**2 - 25*p. Let v(g) be the first derivative of o(g). Factor v(j).
-2*(j - 2)**2*(j + 2)/5
Let g(q) be the first derivative of -q**4/8 + 35*q**3/3 - 288*q**2 - 1296*q - 4383. Factor g(t).
-(t - 36)**2*(t + 2)/2
Let n(l) be the third derivative of l**6/360 + 97*l**5/30 - l**4/72 - 97*l**3/3 + 64*l**2. Let n(c) = 0. Calculate c.
-582, -1, 1
Determine g, given that 267/2 - 3/8*g**2 + 66*g = 0.
-2, 178
Let b = -324 - -3. Let z = b + 321. Find r, given that 0*r**4 + 0*r**2 - 4/17*r**3 + 2/17*r**5 + z + 2/17*r = 0.
-1, 0, 1
Suppose -c - 7 = 2*s, 6*s + 5*c = 2*s - 17. Let p be 2/s*234/(-65). Solve p - 9/5*i - 3/5*i**2 = 0 for i.
-4, 1
Let 372/7 - 2/7*d**2 - 118/7*d = 0. Calculate d.
-62, 3
Let j be -1*5*((-184)/40 - -4). Factor -2901 + j*f**5 + 20*f**2 + 2885 - 8*f - 8*f**4 - f**5 + 2*f**3.
2*(f - 2)**3*(f + 1)**2
Let y(h) be the second derivative of h**7/21 - 24*h**6/5 - 299*h**5/10 - 63*h**4 - 152*h**3/3 + 154*h + 10. Suppose y(d) = 0. What is d?
-2, -1, 0, 76
Let a(p) be the first derivative of -p**4/8 - 25*p**3/3 - 137*p**2/4 + 94*p - 3944. Suppose a(b) = 0. Calculate b.
-47, -4, 1
Let x(c) be the third derivative of -11*c**5/20 + 13*c**4/8 - c**3 + 1564*c**2. Factor x(d).
-3*(d - 1)*(11*d - 2)
Let r be (-370)/(-2088) - 76/(-304). Let q = r - -1/58. Solve 0*o**2 + q*o**3 - 2/3*o**4 + 0 - 10/9*o**5 + 0*o = 0 for o.
-1, 0, 2/5
Let c be (9 - 1) + (-4 - 4). Let i = 151 + -149. Factor c - 13/2*z**3 - 10*z**4 + 0*z - z**i.
-z**2*(4*z + 1)*(5*z + 2)/2
Let w(i) be the second derivative of -6 + 1/5*i**5 - 2/3*i**3 + 1/3*i**4 + 2*i - 2*i**2. Determine y, given that w(y) = 0.
-1, 1
Let s(b) be the third derivative of -b**7/140 - 13*b**6/120 + b**5/3 + 541*b**2 + 2. Factor s(a).
-a**2*(a + 10)*(3*a - 4)/2
Suppose 2*s = -o + 5 + 3, 19 = 3*o + s. Factor -o*q**2 + 6*q**5 - 8*q**3 - 2*q**5 + 6*q**4 + 5*q**3 - q**5.
3*q**2*(q - 1)*(q + 1)*(q + 2)
Suppose -2*t - 2*i = -8, -i + 13 = 4*t - 0*t. Suppose -636 = -t*r - 174. Determine s so that -125 + 5*s**3 + 3*s**3 + 21*s + r*s - 55*s**2 - 3*s**3 = 0.
1, 5
Let v be 303/(-3030) - 48/(-180). Factor 1152*c - 24*c**2 - 18432 + v*c**3.
(c - 48)**3/6
Let j(l) = -l**2 + 220*l - 10654. Let q be j(72). What is a in 1/6*a + 5/3*a**q - 5/3 - 1/6*a**3 = 0?
-1, 1, 10
Factor 11591 - 11591 + 10070*y - 5*y**2.
-5*y*(y - 2014)
Find n such that -471/4*n - 25/4*n**3 - 47/4 - 1185/4*n**2 = 0.
-47, -1/5
Let -1/4*q**3 - 19/4*q - 2*q**2 - 3 = 0. What is q?
-4, -3, -1
Let a(k) = k**3 - 2*k**2 + 916*k - 913. Let q be a(1). Factor -3/4*z**3 + 3/4*z**4 + 3/4*z - 9/4*z**q + 3/2.
3*(z - 2)*(z - 1)*(z + 1)**2/4
Suppose g + 4 = 2*g. Suppose g*p - 22 = -7*p. Let m**3 - 2*m**3 + 21*m**2 - 23*m**p - m = 0. What is m?
-1, 0
Let v(g) 