et s(g) = -6*g**2 + g + 1. Let r = -629 - -625. Let n(f) = 20*f**2 + 36*f - 88. Let z(b) = r*s(b) - n(b). Factor z(d).
4*(d - 7)*(d - 3)
Factor -12519*k**3 - 829*k**5 + 12711*k**3 + 189*k**4 + 826*k**5.
-3*k**3*(k - 64)*(k + 1)
Factor -162 - 46*q**3 + 23216*q**2 + 62*q - 23198*q**2 + 352*q.
-2*(q - 3)*(q + 3)*(23*q - 9)
Suppose -47 = 43*x + 3 - 136. Let d(p) be the third derivative of -1/20*p**5 + 12*p**x + 0*p + 0 + p**3 + 1/8*p**4. Factor d(a).
-3*(a - 2)*(a + 1)
Let z(r) = r**3 - 37*r**2 - 38*r. Let y be z(38). Let a be ((-13)/(-13)*y)/(-1 + 0). Factor -2/9*i**3 + a + 0*i + 4/9*i**2.
-2*i**2*(i - 2)/9
Let i(h) = -3*h**2 - 34*h - 22. Let u(f) = -f**2 - 11*f - 8. Let g(d) = -12*d - 263. Let w be g(-21). Let t(r) = w*u(r) + 4*i(r). What is b in t(b) = 0?
-15, 0
Let s(a) = -a**3 + 5*a**2 + 7*a - 14. Let m(z) = 15*z + 8*z - 20*z - 16 + 4*z**2 + 5*z. Let r(n) = -3*m(n) + 4*s(n). What is h in r(h) = 0?
-1, 1, 2
Suppose 95*t = 6*t - 2670. Let w(i) = -29*i - 868. Let r be w(t). Factor 0*v + 25/6*v**3 - 1/3*v**r + 0 - 7*v**4.
-v**2*(2*v - 1)*(21*v - 2)/6
Let p be 5 + ((-6)/2 - -1). Suppose 0 = 3*w - 3 - p. Let 24*m + 8*m**3 + 85*m**2 + 5*m**3 + 7*m**w + 15*m**3 = 0. What is m?
-3, -2/7, 0
Let u(a) be the second derivative of 1/12*a**4 + 0 + 0*a**2 - 122*a + 1/3*a**3. Factor u(h).
h*(h + 2)
Suppose 294 = 3*h - 13*r + 10*r, -h = 3*r - 114. Let b be h/(-136) - (-23)/4. Find f, given that 43*f**4 - 12*f + 4/3 - 35/3*f**b - 181/3*f**3 + 119/3*f**2 = 0.
2/7, 2/5, 1
Let n(g) be the third derivative of 2/15*g**3 + 75/4*g**5 + 5/2*g**4 + g**2 - 74*g + 0. Suppose n(y) = 0. Calculate y.
-2/75
Let n(f) = -3*f**5 - f**3 + f. Let g(y) = 20*y**5 + 22*y**4 + 42*y**3 - 6*y. Let p(b) = 2*g(b) + 12*n(b). Determine a, given that p(a) = 0.
-9, -2, 0
Let j(y) = 59*y**2 - 950*y + 3779. Let l(n) = 27*n**2 - 474*n + 1890. Let p(b) = 6*j(b) - 13*l(b). Factor p(m).
3*(m - 4)*(m + 158)
Let n(d) be the second derivative of -d**6/150 + 27*d**5/100 - 27*d**4/10 - 182*d**3/15 + 588*d**2/5 + 3520*d. Factor n(r).
-(r - 14)**2*(r - 2)*(r + 3)/5
Suppose 3*g - g = -4*h + 2, 6 = -2*g. Suppose -4*m + 12 = -h*m. Let 27*t**2 + 100*t - 20 - 172*t**2 - m*t**4 + 51*t**3 - 9*t**4 + 29*t**3 = 0. Calculate t.
1/3, 1, 2
Let i(s) be the third derivative of -s**6/420 - 43*s**5/210 + 14*s**4/3 - 272*s**3/7 + 3558*s**2. Let i(a) = 0. Calculate a.
-51, 4
Let z be -11 + 18 + ((-220)/6)/11*6/4. Find g such that 1/8*g**5 - 11/8*g**3 - g + 0*g**4 + 9/4*g**z + 0 = 0.
-4, 0, 1, 2
Let l = -105083 - -105091. Suppose -116/3*g**2 - 12*g**3 + 0 - l*g = 0. Calculate g.
-3, -2/9, 0
Let y(z) = z**2 + 2*z - 6. Let o be y(-5). Factor 27*j**2 - 15*j + 44*j**2 - 8*j**4 - 5*j - 18 + 3*j**4 - 37*j**3 + o*j.
-(j - 1)**2*(j + 9)*(5*j + 2)
Let q(v) be the third derivative of -v**5/630 + 13*v**4/84 + 82*v**3/63 + 2*v**2 - 3*v - 19. Let q(b) = 0. What is b?
-2, 41
Suppose 5*v - 27 + 2 = 0. Suppose g + 0 = -0. Factor -4*l**v + g*l**4 - 4*l**4 + 544*l - 544*l.
-4*l**4*(l + 1)
Let x be -4 + (-124)/(-28) - (-75)/21. What is r in 4/11*r + 8/11*r**5 + 14/11*r**2 + 0 - 14/11*r**x - 12/11*r**3 = 0?
-1, -1/4, 0, 1, 2
Let i(f) = -3 - 28*f**2 + 30*f**2 + 2 + 9*f. Let n be i(-5). Factor -n - 3*j**2 + 0*j**2 + 2*j**2 + 0*j**2 + 4*j.
-(j - 2)**2
Let -38/7*h**2 - 14*h**4 - 6/7*h**5 + 0 + 178/7*h**3 - 36/7*h = 0. Calculate h.
-18, -1/3, 0, 1
Let t(q) = -3*q - 46. Let z be t(-19). Suppose -71 = z*u - 71. What is c in 1/5*c**4 - 4/5*c**3 + 0 + 0*c + u*c**2 = 0?
0, 4
Find j, given that 1/5*j**4 - 7/5*j**3 + 0 - j + 11/5*j**2 = 0.
0, 1, 5
Factor -815*c**2 + 5*c**4 - 27*c**3 + 427*c**3 + 7754*c - 7344*c.
5*c*(c - 1)**2*(c + 82)
Let g(v) be the first derivative of v**5/240 + 43*v**4/96 - 16*v**2 - 240. Let h(m) be the second derivative of g(m). Factor h(q).
q*(q + 43)/4
Let 2*k**2 - 14*k**3 + 7 - 482425*k + 0*k**5 - k**5 - 9*k**4 + 482440*k = 0. What is k?
-7, -1, 1
Let z(i) be the first derivative of 137388*i**3 - 5136*i**2 + 64*i - 1915. Find l such that z(l) = 0.
4/321
Let y(f) be the third derivative of f**8/42 + 136*f**7/105 + 1153*f**6/60 - 103*f**5/30 - 901*f**4/12 - 289*f**3/3 - 7435*f**2. Let y(c) = 0. Calculate c.
-17, -1/2, 1
Let o(s) be the second derivative of -s**4/6 + s**3/3 + 7*s**2 - 6*s - 7. Let h(m) = -m - 1. Let g(f) = 4*h(f) - 2*o(f). Find j such that g(j) = 0.
-2, 4
Let k(x) be the first derivative of x**6/24 - 7*x**5/6 + 25*x**4/2 - 60*x**3 - 5*x**2/2 - 7*x + 63. Let f(y) be the second derivative of k(y). Factor f(g).
5*(g - 6)**2*(g - 2)
Suppose 67*h - 2453 + 413 = 7*h. Let n(t) be the second derivative of 5/9*t**3 - 2*t**2 - h*t + 1/9*t**4 - 1/30*t**5 + 0. Determine x so that n(x) = 0.
-2, 1, 3
Let w be 14*9/(-60) + 2/20. Let z be 99/66*(w/3 + 1). Factor 0 - z*g**2 + 3/2*g.
-g*(g - 3)/2
Let s = 834 + -826. Factor -11*v**4 - 3*v**4 - 2*v**3 + 7*v - 2*v**5 - 3*v**5 - s + 3*v**4 + 10*v**2 + 9.
-(v - 1)*(v + 1)**3*(5*v + 1)
Let x(h) be the second derivative of -49*h - 2/3*h**3 - 2 - 50*h**2 + 1/5*h**5 + 25/3*h**4. Factor x(r).
4*(r - 1)*(r + 1)*(r + 25)
Let g(u) be the second derivative of -u**7/168 + 11*u**6/120 - 39*u**5/80 + 61*u**4/48 - 11*u**3/6 + 3*u**2/2 + u - 581. Determine v, given that g(v) = 0.
1, 2, 6
Let y(k) be the first derivative of 4*k**5/5 - 14*k**4 + 272*k**3/3 - 260*k**2 + 300*k + 2678. Factor y(o).
4*(o - 5)**2*(o - 3)*(o - 1)
Suppose -1795 = -3*x + 2*m + 2354, 6915 = 5*x - 5*m. What is u in -38*u + 1607 - x + 258*u - 4*u**2 = 0?
-1, 56
Determine p so that 18/5*p**2 + 3/5*p**3 + 0*p + 0 - 3/5*p**5 - 18/5*p**4 = 0.
-6, -1, 0, 1
Let r(j) = j**2 - 7. Let s be r(3). Let l be s + (6 + -1)*(-1 + 3). Solve 2*z**2 - 400 - 22*z**2 + l*z**2 + 80*z + 4*z**2 = 0.
10
Let y(f) be the first derivative of -f**8/1680 - 2*f**7/525 - f**6/120 - f**5/150 + 9*f**2 + f + 39. Let c(l) be the second derivative of y(l). Factor c(i).
-i**2*(i + 1)**2*(i + 2)/5
Let j(i) = 2*i + 4 - 4 + 2 - 2 - i**3. Let v(z) = 8*z**3 + 176*z**2 - 1960*z. Let x(k) = 12*j(k) + v(k). Factor x(f).
-4*f*(f - 22)**2
Let x = -4284 + 85719/20. Let z(v) be the first derivative of 1/2*v**6 + 7/4*v**3 + 0*v - 21 + x*v**5 + 3/8*v**2 + 45/16*v**4. Find k, given that z(k) = 0.
-1, -1/4, 0
Let w be (-9)/(-3)*(2 + 3 + -4). Let 440*c**2 - 27*c**3 - 473*c**2 - c**w - 5*c**4 + 18*c = 0. What is c?
-3, 0, 2/5
Let q(t) be the first derivative of 3087*t - 71 + 7*t**3 + 441/2*t**2 + 1/12*t**4. Determine w, given that q(w) = 0.
-21
Let b(j) be the second derivative of 5*j**7/42 - 19*j**6/2 - 7*j**5/4 + 655*j**4/4 + 285*j**3 - 1849*j. Solve b(s) = 0.
-2, -1, 0, 3, 57
Let s(b) be the first derivative of b**5/360 + 2*b**4/9 + 11*b**2 - 3*b + 175. Let c(u) be the second derivative of s(u). Factor c(t).
t*(t + 32)/6
Suppose 129 - 264 = -11*n - 113. Let -16/3*s**2 - n*s**4 - 14/3*s**3 - 1/3*s**5 - 3*s - 2/3 = 0. Calculate s.
-2, -1
Solve 198 + 3*w**4 - 815*w + 52565*w**2 + 99*w**3 + 51*w**3 - 135*w + 5*w**4 - 51971*w**2 = 0 for w.
-11, -9, 1/4, 1
Let o(c) be the second derivative of -8 + 2*c + 6*c**3 - 54*c**2 - 1/4*c**4. What is h in o(h) = 0?
6
Factor -17/5*n**3 - 1/5*n**4 - 40 - 42/5*n**2 + 52*n.
-(n - 2)*(n - 1)*(n + 10)**2/5
Let k = 294 + -291. Find u, given that 369*u**3 - 134*u**k - 10*u**2 - 128*u**3 - 132*u**3 = 0.
-2/5, 0
Let l(q) be the first derivative of -208 + 22/21*q**3 - 4/7*q**2 + 1/14*q**4 - 88/7*q. Determine t, given that l(t) = 0.
-11, -2, 2
Factor 50/3 - 9*k + 1/3*k**2.
(k - 25)*(k - 2)/3
Let i be (36/24*-1)/(6/(-16)). Let t(n) = -8*n**3 - 8*n**2 + 16*n + 4. Let x(k) = -k**3 + k + 1. Let s(l) = i*x(l) - t(l). Find z, given that s(z) = 0.
-3, 0, 1
Let x(a) be the second derivative of -1/27*a**6 + 2/9*a**4 - 70*a + 4/45*a**5 - 1/189*a**7 + 0*a**3 + 0 + 0*a**2. Determine c so that x(c) = 0.
-6, -1, 0, 2
Let i be (80/6)/(5/45). Suppose 109*s = i*s - 66. Suppose s*p - 1/2*p**2 - 18 = 0. Calculate p.
6
Let d(s) be the second derivative of s**5/50 - s**4/15 - 3*s**3/5 + 18*s**2/5 + 6*s + 216. Let d(q) = 0. Calculate q.
-3, 2, 3
Suppose 0 = l - 19, -87*n - 5*l + 99 = -85*n. Factor 20/7*g**n - 4/7*g**3 + 16/7 - 32/7*g.
-4*(g - 2)**2*(g - 1)/7
Let o(r) = 93*r**4 - 1092*r**3 + 3357*r**2 + 11178*r + 27. Let n(x) = -7*x**4 + 84*x**3 - 258*x**2 - 860*x - 2. Let h(s) = -27*n(s) - 2*o(s). Factor h(w).
3*w*(w - 24)*(w - 6)*(w + 2)
Let f(m) be the first derivative of 63/2