in n(x) = 0?
1, 21
Let -173/3*z**2 - 1/6*z**5 - 19/2 - 229/6*z - 61/6*z**4 - 39*z**3 = 0. Calculate z.
-57, -1
Let v be 7 + ((-4)/(-1) - (12 - 7)). Solve -v*g**5 + 30*g**3 - g**4 + 8*g**2 - 3*g**2 + 3*g**2 + 7*g**4 + 10*g**4 = 0.
-1, -1/3, 0, 4
Let g be ((-310)/3)/(4/(-36)). Let o be 4/(-14) - g/(-217). Find t, given that -o*t**2 + 8*t + 2/3*t**3 - 16/3 = 0.
2
Let s be (-30 + 864/27)*(-5)/(-2). Let x be (2/(-4))/(3/(-12)). Find f such that -s*f**x + 7 + 3 + 0*f**2 - 5 = 0.
-1, 1
Let o(f) = -63*f**3 - 12*f**2 + 168*f - 180. Let g(x) = -19*x**3 - 4*x**2 + 51*x - 54. Let m(y) = -33*g(y) + 10*o(y). Suppose m(v) = 0. Calculate v.
-1, 2, 3
Let s(x) = 5*x**3 + 4*x**2 + x - 18. Let l(y) = 12*y**3 + 6*y**2 + 3*y - 36. Let w(a) = -4*l(a) + 9*s(a). Suppose w(z) = 0. What is z?
-1, 2, 3
Let v(u) = 1. Let o(t) = 20*t**2 + 235*t - 54. Let w(z) = -z**2 - 10*z - 26. Let y be w(-5). Let l(j) = y*o(j) + 6*v(j). Factor l(q).
-5*(q + 12)*(4*q - 1)
Let g(h) be the third derivative of h**6/220 - 59*h**5/165 - 20*h**4/33 - 13555*h**2. Factor g(f).
2*f*(f - 40)*(3*f + 2)/11
Factor 2/5*i**5 - 8/5*i**4 - 288/5*i**3 - 2048/5*i - 1408/5*i**2 + 0.
2*i*(i - 16)*(i + 4)**3/5
Let l = 2797603/3 - 932533. Find s such that 50/3*s**4 + 24*s**2 + l*s**5 + 0 + 0*s + 56*s**3 = 0.
-6, -1/2, 0
Let a(c) be the first derivative of -c**5/15 - 29*c**4/12 - 253*c**3/9 - 141*c**2/2 + 702*c + 2467. Suppose a(n) = 0. What is n?
-13, -9, 2
Suppose 14*z = -35 - 343. Let t(y) = y**3 + 27*y**2 + 3*y + 91. Let g be t(z). Determine r so that -5/2*r**2 + 25/2 + g*r = 0.
-1, 5
Factor -167*g + 60 + 5*g**3 - 63*g - 12*g**2 + 127 - 203*g**2 + 253.
5*(g - 44)*(g - 1)*(g + 2)
Suppose 3*h = 4*h + 4. Let s be 950/8 + (-1)/h. Factor s*l**3 - 2 - 1 + 3*l**2 - 3*l - 116*l**3.
3*(l - 1)*(l + 1)**2
Suppose 2*q = 6, -4*o - 205 + 41 = 4*q. Let f be o/(-16) + 2/4. Determine h so that -13/4*h**4 + 9/4*h**2 + 4*h - f*h**3 - 3/4*h**5 + 1 = 0.
-2, -1, -1/3, 1
Let q(z) be the third derivative of 8/1365*z**7 - 7/52*z**4 + 1/2184*z**8 + 1/39*z**6 - 3*z**2 + 1/39*z**5 + 0 - 6/13*z**3 - 39*z. Suppose q(m) = 0. What is m?
-3, -2, -1, 1
Suppose 1977 + 2802 = -9*u. Let a = -529 - u. Factor 3/4*j**a - 3/4*j - 9/2.
3*(j - 3)*(j + 2)/4
Solve 562*x**3 + 369*x - 13*x**2 - 285*x**4 - 860*x**3 - 704*x**2 + 162 - 18*x**5 - 893*x**3 = 0 for x.
-9, -6, -1, -1/3, 1/2
Suppose -346*z + 1693 = -729. Let d(g) be the second derivative of -1/24*g**4 + 0*g**5 - 1/168*g**z + 0 + 10*g + 1/24*g**3 + 0*g**2 + 1/60*g**6. Factor d(u).
-u*(u - 1)**3*(u + 1)/4
Let l(d) = -7*d**4 + d**3 + 21*d**2 + 41*d + 13. Suppose 9*o + 7 = -38. Let j(h) = -h**4 + h**3 + h**2 + h - 1. Let r(c) = o*j(c) + l(c). Factor r(b).
-2*(b - 3)*(b + 1)**2*(b + 3)
Let j = 391 - 378. Suppose 4*w = j + 3. Solve 1/7*k**5 - 1/7*k**w + 0*k**2 + 0*k - 2/7*k**3 + 0 = 0 for k.
-1, 0, 2
Let g = 10903 + -10901. Let p(v) be the third derivative of 0 + 0*v**3 + 19*v**g + 1/490*v**7 + 0*v**4 - 1/280*v**6 + 0*v - 1/70*v**5. Factor p(m).
3*m**2*(m - 2)*(m + 1)/7
Let u(c) be the first derivative of c**6/11 - 16*c**5/11 + 47*c**4/22 + 28*c**3/33 - 24*c**2/11 + 1183. Let u(z) = 0. Calculate z.
-2/3, 0, 1, 12
Let g = -435 - -437. Factor -2*w**2 - 96 + 8*w**2 - g*w**2 - 8*w**2 + 0*w**2 - 56*w.
-4*(w + 2)*(w + 12)
Let s be ((-213)/142)/((-6)/8). Suppose -s*n + 61 = 55. Factor 1/9*d**4 + 0*d - 2/9*d**2 + 1/9 + 0*d**n.
(d - 1)**2*(d + 1)**2/9
Factor -3610112 - 2*r**2 - 24064632 + 4588*r + 6757232 + 8348*r.
-2*(r - 3234)**2
Let l(v) be the first derivative of 104/3*v**3 + 73 + 33*v**2 - 20*v + 9/2*v**4. What is i in l(i) = 0?
-5, -1, 2/9
Let o be -1*((-6 - 19)/(-5) + -103). Let l be o/15 - (14 + -8). Factor -l*s + 0 - 2/15*s**2.
-2*s*(s + 4)/15
Let g(z) be the first derivative of -4*z**3/9 + 158*z**2 + 433. Factor g(p).
-4*p*(p - 237)/3
Suppose 61*x - 149 - 86 = -113. Let j(s) be the first derivative of -2/7*s**x - 1/28*s**4 + 0*s - 37 + 4/21*s**3. What is h in j(h) = 0?
0, 2
Suppose -7*k + 12*k - 4 = -v, -k - 1 = 0. Suppose 0 = 2*t - 5*a + 11, -13 = 10*t - v*t - 5*a. Determine m so that 2/7*m - 2/7*m**t + 0 = 0.
0, 1
Let f = 177342 - 177339. Let -2/13*l**2 + 0*l + 2/13*l**4 - 2/13*l**5 + 2/13*l**f + 0 = 0. Calculate l.
-1, 0, 1
Let m be (-9)/60 - (41 + (-2070)/50). Solve -m*j**2 + 5/4 - j = 0.
-5, 1
Suppose 0 = -9*w - 8 + 26. Factor 37*i**w + 80*i - 3924*i**3 + 3919*i**3 + 38*i**2.
-5*i*(i - 16)*(i + 1)
Let l(o) = 1. Let b(f) = -15*f**2 + 35*f - 12. Let v be 72/(-38) + 2/(-19). Let m(u) = v*l(u) - b(u). Factor m(w).
5*(w - 2)*(3*w - 1)
Determine h so that -118/3*h**3 + 20/9*h**2 + 0*h + 0 + 70/9*h**4 = 0.
0, 2/35, 5
Let k(q) be the first derivative of q**3/12 + 161*q**2/8 - 2818. Factor k(g).
g*(g + 161)/4
Let n = 682369/7 + -97480. Factor -n*x - 1/7*x**2 - 18/7.
-(x + 3)*(x + 6)/7
Suppose 10*y + 5 = 25. Let t = -324 + 2918/9. Suppose 2/9 + t*j - 4/9*j**y = 0. Calculate j.
-1/2, 1
Let i(v) be the third derivative of -v**7/21 + 749*v**6/60 + 181*v**5/6 + 151*v**4/12 - 6561*v**2. Find b, given that i(b) = 0.
-1, -1/5, 0, 151
Suppose 4 = -5*t - 29*i + 30*i, 0 = -4*t + 2*i - 8. Suppose t = -6*y + 6*y - 3*y. Suppose y - 24/5*d - 12/5*d**2 - 9/5*d**4 + 6*d**3 = 0. Calculate d.
-2/3, 0, 2
Let t(g) be the first derivative of 10/27*g**3 + 0*g - 1/2*g**4 + 1/27*g**6 + 100 + 2/15*g**5 + 0*g**2. Find m such that t(m) = 0.
-5, 0, 1
Solve -2209877*s**3 + s**4 + 4*s**2 - 5*s**4 + 2209859*s**3 + 18*s**5 = 0 for s.
-1, 0, 2/9, 1
Let v(z) be the second derivative of 5*z**7/42 - 17*z**6/18 + 7*z**5/12 + 85*z**4/36 - 25*z**3/9 + 3*z - 35. Determine y so that v(y) = 0.
-1, 0, 2/3, 1, 5
Suppose 0 = -4*q - 3*s + 11, -4*q - 11*s = -6*s - 13. Let 4145*c + c**2 + 36 + 2*c**q - 4169*c = 0. What is c?
2, 6
Let c be (-22)/(-6) + 2 - (-12)/36. Let m(o) = o**3 - 6*o**2 + 9*o - 48. Let p be m(c). Factor 36/5*u**2 - 6/5 + p*u.
6*(u + 1)*(6*u - 1)/5
Let s(y) be the second derivative of -3*y**5/20 + 10*y**4 + 43*y**3/2 - 123*y**2 + 2856*y. Factor s(r).
-3*(r - 41)*(r - 1)*(r + 2)
Suppose 58*w - 825 = 74*w - 181*w. Let j(r) be the second derivative of 0 + 1/12*r**4 + 6*r - 3/40*r**w + 1/60*r**6 + 0*r**2 + 0*r**3. What is s in j(s) = 0?
0, 1, 2
Let n = -18704 - -224453/12. Let c(d) be the second derivative of 18*d + 5/6*d**3 + 0 - 5*d**2 + n*d**4. Factor c(y).
5*(y - 1)*(y + 2)
Determine k, given that -224/5*k + 14*k**2 + 152/5 + 2/5*k**3 = 0.
-38, 1, 2
Find g such that -2*g**5 + 143 + 18*g**3 - 563 - 300 + 216*g - 60*g**4 + 321*g**2 + 227*g**2 = 0.
-30, -2, 1, 3
Let j = 55421 + -166243/3. Determine m so that -176*m + j*m**4 - 48 - 256/3*m**3 + 908/3*m**2 = 0.
-1/5, 1, 6
Find q, given that -14*q**2 + 75 + 869 + 10*q**2 - 7*q**2 - 13*q**2 - 5660*q = 0.
-236, 1/6
Suppose -28 = -4*s + 182*o - 180*o, -o - 14 = -s. Let d = -12 - -16. Let s*u**d + 1/2*u**3 - 1/4*u**5 + 0 - 1/4*u + 0*u**2 = 0. Calculate u.
-1, 0, 1
Let y = -77144 - -77146. Suppose -2/19*a**y - 64/19*a - 512/19 = 0. Calculate a.
-16
Let r = 82937/55 + -1508. Let q = r + 351/385. Solve 4/7*u + 6/7*u**4 + 0 + 4/7*u**5 - q*u**2 - 8/7*u**3 = 0 for u.
-2, -1, 0, 1/2, 1
Factor -184*a**2 + 288*a**2 + 188*a**2 + 8*a**2 + 8712 - 28*a**3 - 4972*a + 388*a**2.
-4*(a - 11)**2*(7*a - 18)
Let s(l) = -5 - 4872*l**2 + 4873*l**2 + 4*l + 0*l. Let g(a) = -a**2 - 5*a + 6. Let y(q) = -5*g(q) - 6*s(q). Factor y(o).
-o*(o - 1)
Solve 56*b**2 + 1923*b**2 - 196*b**3 + 625 + 750*b**2 + 110*b**2 - 3525*b + 2201*b**2 = 0.
5/14, 25
Let o(k) = -k + 5. Suppose -6*b - 6 = -18. Let w be o(b). Suppose -18*p**3 + 0 + 9*p**w - 21*p**2 + 12 = 0. What is p?
-2, -1, 2/3
Let z be (35/(-91))/((-4)/52). Let k(s) be the second derivative of 0*s**2 + 1/15*s**z + 1/36*s**6 + 1/18*s**4 + 1/252*s**7 + 0*s**3 + 31*s + 0. Factor k(n).
n**2*(n + 1)*(n + 2)**2/6
Let f(v) be the first derivative of 7*v**3/15 + 681*v**2/10 + 194*v/5 - 919. What is r in f(r) = 0?
-97, -2/7
Let x(l) = -8*l**2 + 38*l - 236. Let y(j) = 48835*j**2 + 1 - 48836*j**2 + 0 - j. Let s be 5/(-5)*(0 - -1). Let f(i) = s*x(i) + 6*y(i). Solve f(t) = 0.
11
Let a(i) be the second derivative of i**7/21 + 3*i**6/5 + 23*i**5/10 - 3*i**4/2 - 36*i**3 - 108*i**2 + 2113*i. Let a(g) = 0. What is g?
-3, -2, 2
Let j(q) = 37*q + 4. Suppose -10*m + 3*p = -5*m - 9, -4*p - 12 = -2*m. Let o be j(m). Factor -1/3*c**o + 2/3*c + 0*c**2 + 1/3 - 2/3*c**3.
-(c - 1)*(c + 1)**3/3
Let