5. Suppose -15 = -9*v + p*v. Suppose 2 - l**v - l**2 - 3*l**2 + l - 1 + 3*l**2 = 0. Calculate l.
-1, 1
Determine q, given that 23/7*q - 15/7 + 1/7*q**3 - 9/7*q**2 = 0.
1, 3, 5
Let h(u) be the first derivative of -17/5*u**2 - 16/25*u**5 - 56/15*u**3 + 2 - 1/15*u**6 - 8/5*u - 11/5*u**4. Determine x, given that h(x) = 0.
-4, -1
Let w(p) = 2*p + 67. Let s be w(-28). What is v in -s*v**2 + 50*v + 2*v**3 - 29*v**2 - 18*v**2 + 78*v**2 = 0?
-5, 0
Let h(t) be the first derivative of 0*t**3 + 0*t + 1/7*t**2 - 12 - 1/14*t**4. Let h(g) = 0. What is g?
-1, 0, 1
Find i such that -2*i**2 + 2/3*i + 0 - 8/3*i**3 = 0.
-1, 0, 1/4
Let r(c) be the second derivative of c**6/240 - c**5/32 - c**4/96 + 5*c**3/48 - 129*c. Factor r(d).
d*(d - 5)*(d - 1)*(d + 1)/8
Let i(m) be the first derivative of 15*m**3 - 5/2*m**6 - 75/4*m**4 + 0*m + 11*m**5 + 4 - 5*m**2. Factor i(d).
-5*d*(d - 1)**3*(3*d - 2)
Let m(u) = -6*u**3 - 137*u**2 - 11*u. Let h(b) = -2*b**3 - 46*b**2 - 4*b. Let p(n) = 11*h(n) - 4*m(n). What is l in p(l) = 0?
-21, 0
Let p be (-4)/10 - (108/30 - 6). Find v, given that 3*v - v + v**2 + 0*v - p*v**2 = 0.
0, 2
Let b(r) be the second derivative of 0*r**2 - 9/40*r**5 + 1/28*r**7 - 1/20*r**6 + 1/2*r**3 + 0 + 43*r + 1/8*r**4. Find f, given that b(f) = 0.
-1, 0, 1, 2
Let j(x) be the third derivative of x**7/1470 - 11*x**5/420 - 3*x**4/28 - 4*x**3/21 + 407*x**2. Suppose j(k) = 0. What is k?
-2, -1, 4
Let f(w) be the first derivative of 12 + 1/2*w**2 - w - 1/12*w**3. Let f(d) = 0. What is d?
2
Suppose t - 17 + 6 = 0. Factor -2*g**2 - 5*g**3 + g**4 - 7*g**3 + t*g**3.
g**2*(g - 2)*(g + 1)
Let t(a) be the first derivative of -a**6/4 - 7*a**5/8 + 35*a**4/24 + 5*a**3/4 + 2*a + 1. Let l(k) be the first derivative of t(k). Let l(d) = 0. Calculate d.
-3, -1/3, 0, 1
Suppose -2*n = -14 + 4. Suppose 0 = -n*o + 24 - 9. Determine j so that 0*j + 0*j - 5*j**4 - 2*j**o + 0*j**3 = 0.
-2/5, 0
Let h(c) be the second derivative of c**5/10 - c**4 + 4*c**3 - 8*c**2 + 4*c - 7. Factor h(x).
2*(x - 2)**3
Find u such that 541*u**2 + 115/6*u**3 - 1798/3*u + 1/6*u**4 - 3364/3 = 0.
-58, -1, 2
Let r(w) be the second derivative of 5*w**4/12 - 20*w**3/3 + 40*w**2 - 2*w - 18. Let r(d) = 0. What is d?
4
Let l(q) = q**3 - 4*q**2 + q - 2. Let z(v) = v**3 - 2*v**2 + v - 3. Let b(t) = 3*l(t) - 4*z(t). Find c such that b(c) = 0.
-3, -2, 1
Let h be -1*(-1)/2 - 3/(-6). Factor 2 - 3 - 4*g**2 - 8*g + h + 4*g**3.
4*g*(g - 2)*(g + 1)
Let j(p) = -p**2 + 1. Suppose 12 = -2*g + 5*g. Let y(u) = -2*u**g - 2*u**2 + 18*u**3 + 2 - 20*u**3 + 2*u + 2. Let z(r) = -4*j(r) + y(r). Factor z(s).
-2*s*(s - 1)*(s + 1)**2
Let p(d) be the second derivative of 1/7*d**2 + 0 + 2/21*d**3 + 2*d + 1/42*d**4. Let p(k) = 0. What is k?
-1
Let w(g) be the first derivative of 3*g**5/40 - 9*g**4/32 + 13. Factor w(q).
3*q**3*(q - 3)/8
Let j = -50 + 44. Let s be 4/j - (215/(-75) + -3). Factor -2*y**5 + 4/5*y + 2/5*y**2 - 18/5*y**3 - s*y**4 + 0.
-2*y*(y + 1)**3*(5*y - 2)/5
Let y(c) be the second derivative of -c**6/50 - 9*c**5/100 + c**4/20 + 3*c**3/10 + 76*c. Let y(p) = 0. What is p?
-3, -1, 0, 1
Let k(s) be the first derivative of 0*s**5 - 12 + 8*s**2 + 2/9*s**6 - 7/3*s**4 - 32/3*s + 8/9*s**3. Find h, given that k(h) = 0.
-2, 1, 2
Let w(y) = -y**3 - y**2 + 3. Let u(h) = -9*h**3 + 35*h**2 - h - 15. Let t(x) = -3*u(x) + 30*w(x). Suppose t(n) = 0. What is n?
-45, -1, 1
Let s(r) be the first derivative of 79*r**3/15 - 119*r**2/5 + 3*r/5 - 737. Let s(t) = 0. What is t?
1/79, 3
Factor 11/5*n**2 - 18/5*n + 8/5 - 1/5*n**4 + 0*n**3.
-(n - 2)*(n - 1)**2*(n + 4)/5
Let f(g) be the third derivative of 5*g**8/168 - 17*g**7/42 + 2*g**6 - 31*g**5/6 + 95*g**4/12 - 15*g**3/2 - 133*g**2. Solve f(n) = 0 for n.
1, 9/2
Let o(h) = -8*h**3 + 8*h**2 - 16*h + 4. Let q be 55/(-65) + (-6)/(-117)*-3. Let y(g) = -g**3 - g + 1. Let r(w) = q*o(w) + 12*y(w). Solve r(n) = 0.
-2, -1, 1
Let p = 1564 - 1561. Factor 3/4 + 1/4*b**2 - 1/4*b**p + 5/4*b.
-(b - 3)*(b + 1)**2/4
Let h be 54/(-36) - 102/(-4). Let g(n) = n**3 + n**2 - 1. Let x(f) = 9*f**3 + 12*f**2 + f - 14. Let b(o) = h*g(o) - 3*x(o). Solve b(p) = 0 for p.
-3, -2, 1
Suppose -7 = 3*p + 8, 0 = -5*c + 5*p + 40. Let v be c/(1 + 155/10). Factor -6/11*f + 4/11 + v*f**2.
2*(f - 2)*(f - 1)/11
Let a(w) = -3*w**3 + w**2 + 1. Let m(h) = -46*h**3 + 25*h**2 + 87*h + 159. Let v(p) = 30*a(p) - 2*m(p). Solve v(z) = 0.
-3, 16
Let h(q) be the first derivative of q**5/40 + 11*q**4/16 + 35*q**3/8 + 9*q**2 - 208. Factor h(c).
c*(c + 3)**2*(c + 16)/8
Let a = 6968/52335 - -2/10467. Solve 4/15*t**4 - 4/15*t**2 + 0*t + 0 + 2/15*t**5 - a*t**3 = 0.
-2, -1, 0, 1
Suppose -5*r + 32 - 22 = 5*a, 0 = 3*a - 3*r - 12. Solve -2/7*q**a + 0 - 4/7*q + 6/7*q**2 = 0 for q.
0, 1, 2
Let n be 21/(-28) - (-27)/4. Suppose n = -v + 4, -4*v + 102 = 5*s. Suppose -2*y**2 + 4*y**2 + 20*y**3 - 2 + 2*y - s*y**3 = 0. What is y?
-1, 1
Suppose -5*j + 3*y = 13, -j - 3 = -2*y - 6. Let p be (-6)/(-4) - j/20*2. Solve 0*z + 0 + 2/9*z**5 + 0*z**p - 4/9*z**4 + 2/9*z**3 = 0 for z.
0, 1
Let j(q) = -21*q**3 - 6*q**2 - 9*q + 6. Let g(k) = -25*k**3 - 5*k**2 - 10*k + 5. Let x(y) = -6*g(y) + 7*j(y). Factor x(a).
3*(a - 4)*(a - 1)*(a + 1)
Let c(s) = -18*s + 33*s - 46*s - 3*s**2 + 25. Let h be c(-11). Let -2/7*a**h + 0 - 4/7*a + 6/7*a**2 = 0. Calculate a.
0, 1, 2
Let a(h) be the third derivative of -h**8/112 - 2*h**7/35 - h**6/10 + h**5/10 + 5*h**4/8 + h**3 + 61*h**2. Solve a(b) = 0 for b.
-2, -1, 1
Let b(r) be the second derivative of -3/2*r**3 + 7/12*r**4 + 2*r**2 + 4*r + 0. Let s(u) = -1. Let a(q) = b(q) + 2*s(q). Factor a(y).
(y - 1)*(7*y - 2)
Let r(w) be the first derivative of w**4/18 - 44*w**3/27 + 140*w**2/9 - 400*w/9 + 328. Factor r(t).
2*(t - 10)**2*(t - 2)/9
Let v(m) be the third derivative of 0*m + 13/150*m**5 - 23*m**2 + 0 - 49/15*m**3 - 1/300*m**6 - 7/12*m**4. Determine w, given that v(w) = 0.
-1, 7
Let q = 273 + -268. Factor 0*x**3 - 3/2*x**q - 3*x**4 + 3*x**2 + 3/2*x + 0.
-3*x*(x - 1)*(x + 1)**3/2
Suppose 0 = -3*d - 0*d. Factor d*v**3 - 2*v**3 + 6*v**3 - 48*v**2 - 20*v + 212*v - 256.
4*(v - 4)**3
Let -32*r**3 - 21*r**3 + 18*r**2 + 56*r**3 = 0. What is r?
-6, 0
Let u = 535 - 376. Suppose u*g - 157*g = 0. Factor g*y + 4/5 - 3/5*y**2 + 1/5*y**3.
(y - 2)**2*(y + 1)/5
Let o(a) = a**2 + 1 + 4 - 5 + 2*a. Let s be o(-3). Determine v so that s*v**2 + 0 - 5 - 3*v + 3*v**2 + 2 = 0.
-1/2, 1
Let y(u) be the first derivative of -u**6/24 - 3*u**5/10 + 13*u**4/8 - u**3 - 25*u**2/8 + 9*u/2 + 323. Suppose y(l) = 0. What is l?
-9, -1, 1, 2
Let u = 32 + -80. Let x = u + 51. Factor 1/6 + 1/6*o - 1/6*o**x - 1/6*o**2.
-(o - 1)*(o + 1)**2/6
Let f(r) be the first derivative of 5*r**4/4 - 40*r**3/3 + 35*r**2/2 - 78. Find a, given that f(a) = 0.
0, 1, 7
Let x(p) be the second derivative of 0*p**2 + 1/30*p**6 + 0 + 1/4*p**4 - 2*p - 3/20*p**5 - 1/6*p**3. Find f, given that x(f) = 0.
0, 1
Let g be -4 - (42/105)/(2/(-20)). Let n be (2/(-2 - g))/(30/(-36)). What is m in n + 46/5*m + 16*m**2 - 32/5*m**3 = 0?
-1/4, 3
Let l(b) = -13*b**3 - 19*b**2 - 52*b - 42. Let g(z) = -41*z**3 - 57*z**2 - 154*z - 123. Let s(o) = -6*g(o) + 19*l(o). Factor s(w).
-(w + 2)**2*(w + 15)
Suppose -2*g - k - 18 = 0, 3*g + 5*k = g - 10. Let z be 72/30 + 4/g. Factor -49*r**4 + 8*r + 4*r**z - 8*r.
-r**2*(7*r - 2)*(7*r + 2)
Let t(i) = i**2 + 7*i - 42. Let q be t(-11). Let o(m) be the third derivative of 0*m**3 - 1/390*m**5 + 0 - 8*m**q + 0*m + 0*m**4 - 1/780*m**6. Factor o(d).
-2*d**2*(d + 1)/13
Determine o so that -3*o + 5*o**4 - 21*o**2 + 2*o**3 + 6*o**4 + 13*o**4 + o**3 - 21*o**4 + 18 = 0.
-3, -1, 1, 2
Let k = -14617/15 - -2927/3. Factor 2/5 + 4/5*l - k*l**2.
-2*(l - 1)*(3*l + 1)/5
Let c(b) be the first derivative of -b**5/5 + 15*b**4/4 + 52*b**3/3 + 18*b**2 + 151. Factor c(y).
-y*(y - 18)*(y + 1)*(y + 2)
Factor -212/7*a - 4/7*a**2 + 0.
-4*a*(a + 53)/7
Let r(g) be the first derivative of 2/3*g**3 + 2/3*g**2 + 5 + 1/3*g + 1/3*g**4 + 1/15*g**5. Let r(w) = 0. Calculate w.
-1
Let g be (12/(-20))/(3/(-60)). What is q in -g*q**5 - 24*q**4 + 19*q**2 + 3*q**5 - 27*q**2 - q - 22*q**3 = 0?
-1, -1/3, 0
Factor 2/11*g**2 + 672/11*g + 56448/11.
2*(g + 168)**2/11
Let s(k) = k**2. Suppose -2*l = v - 7, -3*v = -4*l - 7*v + 12. Let w(t) = -2*t**2 - 20*t + 50. Let x(j) = l*s(j) + w(j). Find q such that x(q) = 0.
5
Let l(r) be the second derivative o