 19*v. Let z(l) be the first derivative of q(l). What is r in z(r) = 0?
1
Let r be (-21)/(-12) - 5/(-4). Factor -2*o**3 + 0*o**r + 0*o**3 - o**2 + 5*o**2.
-2*o**2*(o - 2)
Suppose -4*n = 5*m - 18, 5*m + 8*n - 11*n = 4. Factor -2/3*w**m + 0 - 14/3*w**3 + 0*w - 8*w**4.
-2*w**2*(3*w + 1)*(4*w + 1)/3
Suppose 12 = -9*n + 48. Let -7*b**3 - 54*b**2 - 13*b**3 + 23*b**n + 4*b**2 - 25*b**4 = 0. What is b?
-5, 0
Let o(k) = -k**4 + k**3 + 2*k**2 - 2*k - 1. Let g(l) = 5*l**4 + 10*l**3 - 60*l**2 + 45*l + 25. Let u(t) = -g(t) - 25*o(t). Factor u(i).
5*i*(i - 1)**2*(4*i + 1)
Suppose -5*f - l = l - 16, 2*f + 11 = 5*l. Let b be (-630)/1470*(2 + -5). Factor 0 + 6/7*h**f - b*h - 1/7*h**3.
-h*(h - 3)**2/7
Let g(r) be the second derivative of 3*r**5/160 + 3*r**4/8 + 17*r**3/16 - 45*r**2/8 + 48*r. Factor g(x).
3*(x - 1)*(x + 3)*(x + 10)/8
Let f(s) = 4*s - 30. Let l be f(8). What is p in 3*p**4 + 5*p**3 + 2*p**3 + l*p**4 + 3*p**3 = 0?
-2, 0
Let c = -4 - 5. Let j = c + 11. Determine d, given that 4 - 3*d**j - 6 + 3*d + 2 = 0.
0, 1
What is c in -2*c**3 - 7*c - 924 + 45*c + 896 - 8*c**2 = 0?
-7, 1, 2
Let t(c) = 7*c**3 - 8*c**2 - 9. Let n(o) = 15*o**3 - 16*o**2 - 19. Let j(x) = 6*n(x) - 13*t(x). Let k be j(8). Factor 4*p**2 + 3*p**2 - 3*p**3 + p**k - 8*p + 3.
-(p - 1)**2*(2*p - 3)
Let f(j) = -j**2 + 37*j - 326. Let h be f(22). Let g(b) be the second derivative of 0 + 0*b**2 + 9*b + 1/3*b**3 + 1/12*b**h. Factor g(c).
c*(c + 2)
Let u(j) = 35 + 20 - 38 + 5*j. Let v be u(-3). What is c in 0*c - 2/3*c**v + 0 - 1/3*c**4 - c**3 = 0?
-2, -1, 0
Suppose -10 = -5*q + 20. Suppose -5*c + 2*c = -q. Factor 8*d + 3*d**c - 8*d.
3*d**2
Let c = -96629/5 + 19327. Let 8/5*n**2 - 2/5 + c*n = 0. Calculate n.
-1, 1/4
Let -3/5*w**3 - 48/5 - 24/5*w**2 - 12*w = 0. What is w?
-4, -2
Let z(k) be the first derivative of -2/33*k**3 - 15 - 1/11*k**2 + 0*k. Suppose z(b) = 0. Calculate b.
-1, 0
Let l(r) = 3*r**2 + 824*r - 33624. Let q(b) = -5*b**2 - 825*b + 33625. Let f(g) = 5*l(g) + 4*q(g). Determine c, given that f(c) = 0.
82
Let d(h) = -11*h**2 - 15*h - 18. Let w(p) = 7*p**2 + 10*p + 12. Let b(x) = 5*d(x) + 8*w(x). Let c be b(-5). What is v in 9*v - c*v - 3*v**2 - 6*v = 0?
-1, 0
Solve -86/19*d**3 + 0*d + 0 + 88/19*d**4 + 0*d**2 - 2/19*d**5 = 0 for d.
0, 1, 43
Find a such that 896/17*a**2 + 2/17*a**5 - 1372/17 + 44/17*a**4 + 332/17*a**3 + 98/17*a = 0.
-7, -2, 1
Factor -48/7*y + 8 + 6/7*y**2 + 2/7*y**3.
2*(y - 2)**2*(y + 7)/7
Let o = 1 - -3. Let s(i) = -i**3 + 3*i**2 + 5*i - 2. Let z be s(o). Find u, given that -9*u**z + 10*u - 8*u + 4*u + 3*u**3 = 0.
0, 1, 2
Let h(f) be the first derivative of 5*f**4/4 + 10*f**3 - 335*f**2/2 + 300*f + 540. Suppose h(i) = 0. What is i?
-12, 1, 5
Let h = 9772/55 - 1928/11. Factor 12/5 - 6*q + h*q**3 + 6/5*q**2.
6*(q - 1)*(q + 2)*(2*q - 1)/5
Let m(u) be the third derivative of u**8/448 + u**7/70 + u**6/40 - 4*u**2 - 27. Solve m(d) = 0 for d.
-2, 0
Let q be 845/156 + 55/66. Determine j, given that 5*j**3 + 0 - q*j**2 + 5/2*j - 5/4*j**4 = 0.
0, 1, 2
Let l(s) be the first derivative of -18 + 2*s + 1/12*s**4 + 4/9*s**3 - 11/6*s**2. Let l(i) = 0. What is i?
-6, 1
Let z(x) be the third derivative of x**5/300 - 17*x**4/120 + 8*x**3/15 - 164*x**2. Factor z(t).
(t - 16)*(t - 1)/5
Let y(l) be the second derivative of -107*l**4/3 + 72*l**3 - 2*l**2 - 125*l + 1. Suppose y(b) = 0. What is b?
1/107, 1
Let k(i) be the second derivative of 49/13*i**2 - 12*i + 0 + 1/78*i**4 + 14/39*i**3. Find b such that k(b) = 0.
-7
Let m(r) be the second derivative of 3*r**7/280 + 29*r**6/480 + r**5/10 + r**4/24 - 11*r**2/2 - 13*r. Let z(w) be the first derivative of m(w). Factor z(u).
u*(u + 1)*(u + 2)*(9*u + 2)/4
Let m(i) be the second derivative of -i**7/231 - 16*i**6/165 - 23*i**5/55 + 24*i**4/11 - 27*i**3/11 - 3*i + 30. Factor m(n).
-2*n*(n - 1)**2*(n + 9)**2/11
Let d(s) be the second derivative of 0 - 1/10*s**4 + 1/75*s**6 - 13*s - 4/15*s**3 + 4/5*s**2 + 1/25*s**5. Factor d(m).
2*(m - 1)**2*(m + 2)**2/5
Let s = -73727/35 + 2107. Let w(g) be the first derivative of 0*g**3 + 3 - s*g**5 + 0*g**2 - 1/7*g**4 - 1/3*g**6 + 0*g. Factor w(m).
-2*m**3*(m + 1)*(7*m + 2)/7
Let h(c) be the third derivative of -c**8/30240 + c**7/756 - 5*c**6/216 - 3*c**5/20 - 4*c**2. Let p(w) be the third derivative of h(w). Factor p(a).
-2*(a - 5)**2/3
Let w be 5 + (-3)/12*0. Suppose -23 = -w*h + 87. Factor 3*g + 34 + 4*g**2 - h - 4*g**3 + 17*g.
-4*(g - 3)*(g + 1)**2
Factor 0*b - 96/7*b**3 - 18/7*b**2 + 0 - 128/7*b**4.
-2*b**2*(8*b + 3)**2/7
Let a(k) be the second derivative of -k**6/180 - k**5/30 - k**4/24 + k**3/9 + k**2/3 - 119*k. What is m in a(m) = 0?
-2, -1, 1
Let s(o) be the first derivative of -o**3 - 15*o**2 - 75*o - 21. Find u such that s(u) = 0.
-5
Let p = -1444 - -1449. Factor -4/17*c**2 + 10/17*c**p + 18/17*c**3 + 0 - 24/17*c**4 + 0*c.
2*c**2*(c - 1)**2*(5*c - 2)/17
Let w(h) be the first derivative of -2*h**3/33 + 70*h**2/11 - 2450*h/11 + 371. Factor w(y).
-2*(y - 35)**2/11
Let d(o) = 81*o**4 - 4498*o**3 + 63452*o**2 - 40344*o - 8. Let a(n) = 27*n**4 - 1500*n**3 + 21150*n**2 - 13448*n - 3. Let c(x) = -8*a(x) + 3*d(x). Factor c(z).
z*(3*z - 82)**2*(3*z - 2)
Suppose -215*f + 25 = -210*f. Factor 0*s**2 - 2/9*s**f + 0*s**4 + 0 + 0*s + 2/9*s**3.
-2*s**3*(s - 1)*(s + 1)/9
Let w(s) be the second derivative of s**7/630 - s**6/90 + s**5/45 - 2*s**3/3 + 16*s. Let a(c) be the second derivative of w(c). Let a(j) = 0. Calculate j.
0, 1, 2
Let y(f) = 3*f**2 - 5*f + 14. Let v(t) = -4*t**2 + 4*t - 15. Let r(n) = -4*v(n) - 6*y(n). Suppose r(u) = 0. What is u?
3, 4
Factor 36/7*u - 80/7 - 4/7*u**2.
-4*(u - 5)*(u - 4)/7
Factor -1307*g**3 + 5*g**4 - 2*g**2 + 1311*g**3 - 4*g**2 - 4*g + 1.
(g - 1)*(g + 1)**2*(5*g - 1)
Suppose -3*c - 4*o + 23 = -7, 5*o + 3 = 3*c. Suppose -2 = y - c. Determine g, given that -4*g + 0 + 3 + 13 + y*g**2 - 12*g = 0.
2
Let q(c) be the third derivative of c**8/168 + c**7/35 + c**6/30 - 42*c**2 + 2*c. Determine l, given that q(l) = 0.
-2, -1, 0
Let w(p) be the first derivative of 2*p**5/75 - 7*p**4/30 + 26*p**3/45 + p**2/5 - 12*p/5 - 10. Determine t so that w(t) = 0.
-1, 2, 3
Let b(j) = -j**2 + 47. Let h be b(12). Let l = h + 99. Let 1/6*s + 0 + 1/3*s**l + 1/6*s**3 = 0. What is s?
-1, 0
Let d(b) be the first derivative of b**7/84 + b**6/20 - b**5/40 - b**4/8 + 36*b - 28. Let t(r) be the first derivative of d(r). Factor t(n).
n**2*(n - 1)*(n + 1)*(n + 3)/2
Let d(h) = h**3 + h. Let v(t) = -9*t**3 - 4*t**2 + 51*t + 126. Let m(n) = -6*d(n) - v(n). Find j such that m(j) = 0.
-3, 14/3
Let i(p) be the first derivative of -2*p**3/15 - 43*p**2/5 + 88*p/5 + 102. What is m in i(m) = 0?
-44, 1
Determine c, given that 16/5*c + 8/5 + 2/5*c**3 + 2*c**2 = 0.
-2, -1
Let f(i) be the first derivative of -5*i**3/3 + 145*i**2 - 4205*i + 95. Factor f(v).
-5*(v - 29)**2
Let t be 3/(9/4)*21/14. Let b be (-95)/(-35) + t/7. Factor -2/5 - 13/5*g**2 - b*g.
-(g + 1)*(13*g + 2)/5
Let u(d) be the first derivative of 1/5*d**6 - 4/5*d**5 - d + 1/3*d**2 + 1 - 8/9*d**3 + 11/9*d**4. Let t(o) be the first derivative of u(o). Factor t(y).
2*(y - 1)**2*(3*y - 1)**2/3
Let t = -3083 + 27749/9. Factor 2/9*g**3 - t*g**2 + 0*g + 0.
2*g**2*(g - 1)/9
Find g such that 6*g + 22*g + 220*g**3 + 7*g - 342*g**2 + 45*g - 14*g**4 + 56 = 0.
-2/7, 1, 14
Let k(z) be the third derivative of -z**5/150 - 83*z**4/30 - 6889*z**3/15 - 274*z**2. Solve k(a) = 0.
-83
Let z(k) = -k**2 + 17*k - 11. Let l be z(16). Suppose -2*n**2 + 6*n**3 + 274*n**l - 4*n**4 - 273*n**5 - n**3 = 0. Calculate n.
0, 1, 2
Let l be (-180)/(-40) - (-1)/(-2). Suppose l*f = f - 3*w, 3*f = -w + 6. Factor -1/8*s - 1/4*s**2 + 1/4*s**f + 1/8 + 1/8*s**4 - 1/8*s**5.
-(s - 1)**3*(s + 1)**2/8
Solve -137*f**3 + 7*f**4 - 60*f**2 + 16*f - 137*f**3 + 286*f**3 = 0 for f.
-4, 0, 2/7, 2
Let r(i) be the third derivative of i**5/20 + 61*i**4/8 - 31*i**3 + 140*i**2. Factor r(o).
3*(o - 1)*(o + 62)
Let p be 64/112*1*7. Let r(x) = -4*x**2 - 4*x - 4. Let o(v) = -4*v**2 - 3*v - 5. Let d(z) = p*o(z) - 5*r(z). Find w, given that d(w) = 0.
-2, 0
Let f(j) be the third derivative of -j**6/960 + 7*j**5/480 - 20*j**2. Determine h, given that f(h) = 0.
0, 7
Let o(t) be the third derivative of t**8/2184 - 41*t**7/1365 - 43*t**6/260 - 131*t**5/390 - 11*t**4/39 + 323*t**2. Solve o(u) = 0 for u.
-1, 0, 44
Let b(w) be the second deri