v**6/180 + 59*v**5/270 - 38*v**4/27 + 44*v**3/27 - 24*v**2 + 30. Let l(h) = 0. Calculate h.
-22, 1/3, 2
Let p = -53378 + 53380. What is u in -1/6*u + 1/6*u**4 + 1/6*u**3 - 7/6*u**p + 1 = 0?
-3, -1, 1, 2
Let d = -65557/560 - -9411/80. Let 0 + 12/7*n**3 + 8/7*n**2 - d*n**5 + 0*n + 0*n**4 = 0. Calculate n.
-1, 0, 2
Let k(t) be the first derivative of 75*t**6/8 - 48*t**5 + 205*t**4/16 + 25*t**3/2 - 5*t**2 - 400. Determine g, given that k(g) = 0.
-2/5, 0, 1/3, 4
Let c(y) = -17*y**3 - 35*y**2 + 10*y - 7. Let l(j) = 14*j**3 + 34*j**2 - 12*j + 8. Let h(p) = 8*c(p) + 7*l(p). Factor h(i).
-2*i*(i + 1)*(19*i + 2)
Find d such that 27*d - 543/5*d**4 + 543/5*d**2 + 0 - 12/5*d**5 - 123/5*d**3 = 0.
-45, -1, -1/4, 0, 1
Let z be 13/84 + (-572)/(-6006) + (0 - -6). Solve 0 - 5/4*r**4 + 5*r - 10*r**2 + z*r**3 = 0.
0, 1, 2
Let s(u) = -36*u + 112. Suppose 388 = -8*g + 412. Let z be s(g). Factor 9*n**3 + 72*n + 97/2*n**2 + 1/2*n**z + 32.
(n + 1)**2*(n + 8)**2/2
Find c such that 128 + 2/3*c**3 - 232/3*c + 16/3*c**2 = 0.
-16, 2, 6
Factor -60*m - 84 + 193 + 83 + 3*m**2.
3*(m - 16)*(m - 4)
Let j(n) be the third derivative of 1/66*n**5 + 0*n + 1/22*n**4 + 0*n**3 - 1/660*n**6 + 20*n**2 + 0. Solve j(q) = 0 for q.
-1, 0, 6
Let v(o) = 80*o**3 + 5215*o**2 - 5180*o - 10390. Let i(f) = -19*f**3 - 1304*f**2 + 1295*f + 2598. Let k(z) = 25*i(z) + 6*v(z). Factor k(s).
5*(s - 261)*(s - 2)*(s + 1)
Let c be 74 - (-51 - 14574/(-126)). Solve -2/9*i**3 + 20/9*i**2 + c + 106/9*i = 0.
-3, -1, 14
Factor -5*t + 1/5*t**2 + 24/5.
(t - 24)*(t - 1)/5
Let c = -14138 + 70693/5. Suppose 5*l = q + 4 + 7, -5*l + 4*q + 14 = 0. Determine h, given that -c*h**3 - 24/5 - 18/5*h**l - 36/5*h = 0.
-2
Suppose 4739*p - 392 = 4641*p. Let 4/3 - 2/3*r**p + 2*r - 2*r**3 - 2/3*r**2 = 0. Calculate r.
-2, -1, 1
Suppose -2*b + 321 = -149. Let f be (-752)/b - ((-1 - -3) + -6). Factor -6/5 - 2/15*v**2 - f*v.
-2*(v + 3)**2/15
Let w(l) = -l**5 - 2*l**4 - l**3 + l**2 + 5*l. Let k(p) = 3*p**5 - 19*p**4 - 7*p**3 + 15*p**2 + 16*p. Let q(s) = k(s) - 4*w(s). Solve q(i) = 0.
-1, 0, 4/7, 1
Let n(b) be the first derivative of -361*b - 1/27*b**3 - 19/3*b**2 + 127. Factor n(o).
-(o + 57)**2/9
Let x = 269478 + -1077889/4. Solve -1/4*d**4 - 36 + x*d**2 + 6*d - 1/2*d**3 = 0.
-4, 3
Let x be (-18)/(-3) - (-26 + -7 + 38) - -2. Suppose 16/3*p**4 + 196/3 - 1/3*p**5 + 4/3*p**2 + 287/3*p - 70/3*p**x = 0. What is p?
-1, 4, 7
Let g be (-1 - -1) + -3 + (-1961)/(-653). Let t = g + 639/4571. Determine y so that t + 0*y - 1/7*y**2 = 0.
-1, 1
Suppose -43977*n + 43973*n - 6*j - 60 = 0, -n + 5*j + 89 = 0. Factor -n - 8*h**2 + 35/2*h - 1/2*h**3.
-(h - 1)**2*(h + 18)/2
Let a = -10 - -19. Let x(v) = -36*v**3 - 4 + 0 - 84*v**2 + 0*v - 4 - 52*v. Let l(h) = -72*h**3 - 169*h**2 - 104*h - 16. Let k(p) = a*x(p) - 4*l(p). Factor k(b).
-4*(b + 1)**2*(9*b + 2)
Let l(x) be the second derivative of x**7/105 + 2*x**6/75 - 18*x**5/25 - 27*x**4/5 - 63*x**3/5 + 2857*x. Suppose l(p) = 0. Calculate p.
-3, 0, 7
Let m(k) be the second derivative of -191*k - 19/4*k**5 + 45/4*k**4 + 0 - 20/3*k**3 + 2/3*k**6 - 10*k**2. Factor m(z).
5*(z - 2)**2*(z - 1)*(4*z + 1)
Let n(y) be the third derivative of -y**6/420 - 4*y**5/105 - 11*y**4/84 + 20*y**3/21 - y**2 + 2*y + 138. Suppose n(r) = 0. Calculate r.
-5, -4, 1
Let m = -152 + 154. Factor -50*p**m + p**5 + 22*p**3 + 26*p**2 - 8*p**4 + 6*p + 3*p.
p*(p - 3)**2*(p - 1)**2
Let p(v) be the first derivative of v**5/10 - v**4/2 + 2*v**3/3 - 885. Factor p(d).
d**2*(d - 2)**2/2
Suppose -5*s = -s - 0*s. Suppose s = -g - 56*g + 114. Factor -8/5 - 8/5*p - 2/5*p**g.
-2*(p + 2)**2/5
Let m(i) = i**4 - 7*i**3 + 19*i**2 + 37*i - 10. Let t(z) = 20*z**3 - 56*z**2 - 4*z**4 - 54*z + 20 + 12 - 58*z. Let g(p) = 16*m(p) + 5*t(p). Solve g(k) = 0.
-4, -1, 0, 2
Find s such that -14725*s - 14415 - 935/3*s**2 - 5/3*s**3 = 0.
-93, -1
Determine j, given that 160*j - 2*j**3 + 424*j**2 - 4*j**3 - 438*j**2 - 34 + 202 = 0.
-6, -1, 14/3
Let g(m) = 4*m**3 + 5*m**2 + 75*m + 3. Let v be g(0). Solve 1800/7*c - 18000/7 + 2/21*c**v - 60/7*c**2 = 0 for c.
30
Let i(b) = -b**2 + 2*b - 4. Suppose u = -f - 4 + 2, 4*f - 2*u + 2 = 0. Let l(j) = j + 1. Let c(d) = f*i(d) - 4*l(d). Solve c(n) = 0 for n.
0, 6
Let m(w) be the third derivative of w**7/630 + w**6/120 - w**5/180 - w**4/24 + 1274*w**2. Factor m(u).
u*(u - 1)*(u + 1)*(u + 3)/3
Suppose -77 + 117 = 5*q + 5*z, 5*q + 2*z = 52. Let r be (6/18)/(q*3/12). Find p such that -r*p**2 + 4/9*p + 0 = 0.
0, 4
Let c(r) = -944*r + 947. Let i be c(1). Let 3/2*h**i + 9/2*h - 15 + 9*h**2 = 0. Calculate h.
-5, -2, 1
What is l in 68*l**5 + 12 - 77*l**5 - 2401*l**4 + 2422*l**4 - 24*l - 45*l**2 + 21*l**3 = 0?
-1, 1/3, 2
Let p(h) be the second derivative of -h**4/24 + 97*h**3/6 - 193*h**2/4 + 1338*h. Determine m so that p(m) = 0.
1, 193
Factor 368*q**3 - 85483*q**2 + 1662*q**3 + 3086*q**2 - 123648*q**2 - 5*q**4.
-5*q**2*(q - 203)**2
Let f(t) be the second derivative of -7*t**6/6 - 163*t**5/4 - 200*t**4 - 1010*t**3/3 - 200*t**2 - 60*t + 4. Suppose f(l) = 0. Calculate l.
-20, -2, -1, -2/7
Let p(r) be the first derivative of r**6/18 + 19*r**5/15 + 25*r**4/4 - 115*r**3/9 - 38*r**2/3 + 32*r - 97. What is a in p(a) = 0?
-12, -8, -1, 1
Let 34*m - 181 + 2*m**2 + 229 - 6*m = 0. Calculate m.
-12, -2
Suppose -5*v - 8510*m = -8515*m - 20, -3*v + 6*m + 18 = 0. Factor 0 - p**4 + 11/5*p**v - 12/5*p**3 + 6/5*p.
-p*(p - 1)*(p + 3)*(5*p + 2)/5
Let d(w) be the second derivative of -w**6/135 - 17*w**5/90 + 3*w + 52. Determine j so that d(j) = 0.
-17, 0
Let u(n) be the third derivative of n**7/280 - 27*n**6/160 + 25*n**5/16 + 27*n**4/32 - 63*n**3/4 + 13279*n**2. Let u(j) = 0. What is j?
-1, 1, 6, 21
Let -18/5*a**3 - 2/5*a + 12/5*a**2 + 0 = 0. What is a?
0, 1/3
Let u = 18432 - 18430. Let y(h) be the third derivative of 2*h**3 - 5/3*h**4 + 0 + 0*h + 36*h**u + 37/180*h**5 - 1/120*h**6. What is d in y(d) = 0?
1/3, 6
Let y(r) = -130*r + 15*r + 49*r**3 - 114*r**3 + 155*r**2 + 95. Let z(b) = 11*b**3 - 26*b**2 + 19*b - 16. Let f(a) = -6*y(a) - 35*z(a). Solve f(l) = 0.
1, 2
Factor 39/4*b - 1/4*b**2 + 245/2.
-(b - 49)*(b + 10)/4
Let k(n) = 30*n**3 - 269*n**2 - 934*n - 264. Let r(i) = 7*i**3 - 70*i**2 - 233*i - 66. Let m(x) = -2*k(x) + 9*r(x). Factor m(l).
(l - 33)*(l + 2)*(3*l + 1)
Let c be -2*(-3 - -13 - 2 - 2413/254). Factor 54/5*t + 24/5 - c*t**2.
-3*(t - 4)*(5*t + 2)/5
Let g = -16 + 16. Suppose g = -5*w + 2 + 3. Determine z so that -8 - 8*z**3 - 8*z**2 - 2*z**4 + w + 7 = 0.
-2, 0
Factor -16*b + 5*b**2 + 91*b + 176*b - 235 + 0*b**2 - 21*b.
5*(b - 1)*(b + 47)
Let o(p) be the first derivative of 21*p + 59/4*p**3 + 121 + 9/20*p**5 + 33/8*p**4 + 51/2*p**2. Determine l so that o(l) = 0.
-7/3, -2, -1
Let h(s) be the first derivative of s**6/2 + 99*s**5/5 - 225*s**4/2 - 62*s**3 + 1359*s**2/2 + 999*s + 3475. Find m such that h(m) = 0.
-37, -1, 3
Let t(f) be the second derivative of 1/8*f**4 - 6 - 7*f - 3/8*f**3 + 1/2*f**2 - 1/80*f**5. Suppose t(p) = 0. Calculate p.
1, 4
Let j(k) be the first derivative of 23/25*k**2 - 2/15*k**3 - 2/25*k**4 - 312 + 12/25*k. Determine a so that j(a) = 0.
-3, -1/4, 2
Suppose 1261*n = 1359*n - 392. Let g(v) be the second derivative of 1/72*v**n + 1/4*v**3 + 2/3*v**2 - 15*v + 0. Factor g(m).
(m + 1)*(m + 8)/6
Let t(w) = 19*w + 143. Let b be t(-7). Suppose 28*p - b*p = -7*p. Suppose 4/7*h**2 + 0*h**4 + 2/7*h**5 - 6/7*h**3 + p + 0*h = 0. What is h?
-2, 0, 1
Find l such that 145/4*l**4 - 405/4*l**3 - 65/2*l + 395/4*l**2 + 0 - 5/4*l**5 = 0.
0, 1, 26
Let l(b) be the first derivative of 1/8*b**4 - 43/6*b**3 + 43/2*b - 1/4*b**2 - 263. Factor l(v).
(v - 43)*(v - 1)*(v + 1)/2
Let y(d) = -182*d + 1824. Let b be y(10). Let x(o) be the second derivative of 26*o + 1/6*o**b + 2/3*o**3 + 0*o**2 + 0. Factor x(t).
2*t*(t + 2)
Let d(k) be the third derivative of -2*k**7/105 - 19*k**6/10 - 56*k**5 - 392*k**4/3 - 3560*k**2. Factor d(f).
-4*f*(f + 1)*(f + 28)**2
Let v(u) = -53*u - 1588. Let o be v(-30). Let q(z) be the second derivative of -64/9*z**o - 1/54*z**4 + 16/27*z**3 + 0 + 19*z. Factor q(x).
-2*(x - 8)**2/9
Let u(i) be the third derivative of i**8/672 + 3*i**7/140 + 11*i**6/240 - 61*i**5/120 - 5*i**4/4 + 25*i**3/3 - 388*i**2 + 2. Suppose u(a) = 0. Calculate a.
-5, -2, 1, 2
Suppose 2*q = -2, -5*m + 10*q - 7*q + 253 = 0. Suppose 858*k**2 + 869*k**2 + m - 65*k - 1742