 i.
-15, -1
Let g(n) = -235*n**2 - 54380*n - 12367010. Let m(o) = 19*o**2 + 4532*o + 1030584. Let s(t) = -2*g(t) - 25*m(t). Solve s(l) = 0 for l.
-454
Solve -1/6*w**3 + 22/3*w - 7/6*w**2 + 0 = 0 for w.
-11, 0, 4
Let x(w) = w**3 - 66*w**2 + 261*w - 324. Let h(y) = y**2 + y + 14. Let b(i) = 24*h(i) + 3*x(i). Suppose b(g) = 0. What is g?
1, 4, 53
Let l be (9/(-6))/((-1)/(-116)*-2). Factor l*i**4 - 175*i**4 - 6*i**3 + 86*i**4 - 4*i**2.
-2*i**2*(i + 1)*(i + 2)
Let y(g) be the second derivative of 0*g**2 + 25/3*g**3 - 5/12*g**4 + 5 + g. Determine i, given that y(i) = 0.
0, 10
Let a be -5 + (-1425)/(-152) + (-9)/24. Let n(l) be the third derivative of -1/30*l**3 + 0 - 1/600*l**6 + 1/120*l**a + 0*l - 10*l**2 + 1/300*l**5. Factor n(g).
-(g - 1)**2*(g + 1)/5
Let n(j) be the first derivative of 0*j + 1/60*j**5 - 1/6*j**3 + 43 + 37/2*j**2 + 0*j**4. Let f(b) be the second derivative of n(b). Factor f(i).
(i - 1)*(i + 1)
Let z(a) be the second derivative of a**4/18 + 781*a**3/9 - 74*a + 12. Determine h, given that z(h) = 0.
-781, 0
Let m(l) = 736*l - 10. Let r = -87 - -90. Let a be m(r). Factor 6 - 10*o**2 + a*o + o**3 - 2197*o + 2*o**3.
(o - 3)*(o - 1)*(3*o + 2)
Let z = 33 - 30. Solve -22*b**2 + 16*b - 3*b**z - 4 - 11*b**5 + 57*b**2 - 31*b**4 - 2*b**3 = 0.
-2, -1, 2/11, 1
Let n = 1822243/6 - 303707. Find z, given that n*z**2 + 1/6*z - 1/6*z**3 - 1/6*z**4 + 0 = 0.
-1, 0, 1
Let x(l) be the second derivative of l**5/240 - l**4/6 + 5*l**3/8 + 13*l**2/2 + 22*l - 4. Let y(z) be the first derivative of x(z). Factor y(j).
(j - 15)*(j - 1)/4
Suppose 8*m + 12 = -2*c, 2*c - 6*m = -8*m. Let z = -444 + 4024/9. Factor 0*b - z*b**3 + 16/9*b**c + 4/9*b**5 + 0 + 8/9*b**4.
4*b**2*(b - 1)**2*(b + 4)/9
Let s(o) be the first derivative of o**7/336 - o**6/120 - o**5/160 + o**4/48 + 90*o + 78. Let c(x) be the first derivative of s(x). Factor c(a).
a**2*(a - 2)*(a - 1)*(a + 1)/8
Let x(j) = -10*j + 4*j + 26 + 5*j + 3*j. Let f be x(-8). Determine m so that -4*m**3 - 8 + 17*m + f*m - 23*m + 8*m**2 = 0.
-1, 1, 2
Factor -27*g**2 + 31*g**2 + 432 - 4376*g + 4532*g.
4*(g + 3)*(g + 36)
Let j(h) be the first derivative of -h**5/48 - 35*h**4/96 + 15*h**3/4 - h**2/2 - 9*h - 35. Let g(n) be the second derivative of j(n). Factor g(x).
-5*(x - 2)*(x + 9)/4
Let o(v) be the second derivative of 3*v**2 + 1/2*v**4 + 5*v - 11/6*v**3 + 4 - 1/20*v**5. Suppose o(t) = 0. Calculate t.
1, 2, 3
Solve 2*z**2 - 5/3 - 1/3*z**4 - 4/3*z + 4/3*z**3 = 0.
-1, 1, 5
Let z(o) be the third derivative of -o**6/320 - 13*o**5/80 - 83*o**4/64 + 55*o**3/8 + 5394*o**2. Factor z(v).
-3*(v - 1)*(v + 5)*(v + 22)/8
Suppose 339 - 503 = 41*y. Let x be (y/70)/((-78)/195). Factor -1/7*z**2 - x*z + 0.
-z*(z + 1)/7
Let j(q) be the third derivative of -q**5/210 - 607*q**4/42 - 368449*q**3/21 + 2020*q**2 + 2*q. Factor j(k).
-2*(k + 607)**2/7
Let 15/2*l**4 + 61/2*l**2 - 36*l - 1/2*l**5 + 73/2*l**3 - 38 = 0. What is l?
-2, -1, 1, 19
Let c be (74/(-1295))/((-4)/140). What is t in 5/3*t**3 + 3*t**c + 1/3*t**4 + 2/3 + 7/3*t = 0?
-2, -1
Let x(s) = -5*s**2 + 301*s - 1132. Let r(w) = 5*w**2 - 316*w + 1125. Let m(u) = 4*r(u) + 3*x(u). Suppose m(n) = 0. What is n?
16/5, 69
Let b(p) be the second derivative of -5/19*p**3 + 1 - 14/19*p**2 + 55*p - 1/114*p**4. Factor b(z).
-2*(z + 1)*(z + 14)/19
Factor 88047 - 175703 - 6*f**2 + 201*f + 88196.
-3*(f - 36)*(2*f + 5)
Factor -8054*t + 0*t**4 + 351*t**2 - 105*t**3 + 198 + 24*t**3 + t**4 + 2*t**4 + 7583*t.
3*(t - 22)*(t - 3)*(t - 1)**2
Let j be 4 - 16/68*-3. Let b be ((-4385)/425 - -11) + 36/30. Determine z, given that -j*z**4 - 2*z**3 + 62/17*z**2 + 18/17 + 66/17*z - b*z**5 = 0.
-1, -3/4, 1
Factor -499*n - 734*n**2 - 282*n - 356*n - 50*n + 1933*n - 12.
-2*(n - 1)*(367*n - 6)
Let b(v) be the third derivative of v**5/210 + 331*v**4/42 + 109561*v**3/21 + 276*v**2 + 3. Let b(w) = 0. What is w?
-331
Factor 75*x**2 + 718*x**3 - 714*x**3 - 76*x - 3*x**2.
4*x*(x - 1)*(x + 19)
Let c(j) be the second derivative of -j**5/60 + 5*j**4/2 - 352*j**3/3 + 1936*j**2/3 + 1270*j. Factor c(n).
-(n - 44)**2*(n - 2)/3
Determine r so that 97*r + 53/3*r**2 + 1/3*r**3 + 141 = 0.
-47, -3
Let z(u) = 58*u**4 - 50*u**3 - 1961*u**2 - 3600*u - 1080. Let d(w) = 28*w**4 - 25*w**3 - 981*w**2 - 1800*w - 540. Let p(t) = 11*d(t) - 6*z(t). Solve p(a) = 0.
-3, -2, -3/8, 6
Suppose 0 = 4*c - 2*c - 4, 2*y + 3*c - 18 = 0. Let j be -3 + y - ((-36)/(-8) - 2). Factor j*b**2 + 0 + b.
b*(b + 2)/2
Let v be -14 - -19 - (-4611)/(-924). Let r = v - -437/308. Factor -r*w**3 - 32/7*w**2 - 4/7 - 26/7*w.
-2*(w + 1)*(w + 2)*(5*w + 1)/7
Suppose 48*z - 124*z - 27 = -41*z - 44*z. Let 12*n**2 + 88/7 + 2/7*n**z - 174/7*n = 0. What is n?
-44, 1
Find y, given that 368*y**2 + 20 - 315*y - 148*y**2 + 43*y**3 + 59*y**3 - 27*y**3 = 0.
-4, 1/15, 1
Let k = 894/13 - 11954/195. Let v = -24/5 + k. Factor 4 - 4/3*a - v*a**2.
-4*(a - 1)*(2*a + 3)/3
Let c = -8121 - -8105. Let y(a) = -2*a**3 - 4*a + 8*a**2 + 0*a**3 - 3 + a**3. Let d(s) = 4*s**3 - 24*s**2 + 12*s + 8. Let h(p) = c*y(p) - 5*d(p). Factor h(t).
-4*(t - 1)*(t + 1)*(t + 2)
Let u(q) = -q**3 - 2*q**2 + 8*q + 11. Let s be u(-4). Let -20*c**2 + s + 6 - 8*c - 17 = 0. Calculate c.
-2/5, 0
Let g = 1063 + -63781/60. Let i = g + 31/60. What is f in 1/2*f + 1/2*f**2 - 1/2*f**3 - i = 0?
-1, 1
Let w be -1*(28/14 - (-138)/(-2)). Suppose 66*k = w*k. Factor 3/2*n**5 - 3/2*n**3 + 3/2*n**2 - 3/2*n**4 + k + 0*n.
3*n**2*(n - 1)**2*(n + 1)/2
Let z be (1/(-4))/((-50)/(-43960)). Let u = z - -223. Determine a so that u*a**2 - 44/5*a - 12/5 = 0.
-1/4, 3
Factor 30070 + 26800 - 59390 + 4*p**2 - 68*p.
4*(p - 35)*(p + 18)
Let a(l) = 286*l + 4004. Let m be a(-14). Let y(j) be the third derivative of 0 + m*j - 4/15*j**3 - 4*j**2 + 1/50*j**5 + 1/60*j**4. Find q, given that y(q) = 0.
-4/3, 1
Find f such that -18*f + 593*f**3 + 21*f**2 - 17*f - 11*f**2 - 588*f**3 + 20*f**2 - 300 = 0.
-5, -4, 3
Let j(m) = -m + 2. Let i(q) = 2*q**3 + 6*q**2 + 9*q - 10. Let y be (-10)/(-80) - 39/(-8). Let u(g) = y*j(g) + i(g). Let u(v) = 0. What is v?
-2, -1, 0
Let r(g) be the third derivative of 13/60*g**4 - 11*g**2 - 1/300*g**6 + 0*g + 1/50*g**5 - g**3 + 3. Suppose r(j) = 0. Calculate j.
-3, 1, 5
Suppose 135*d + 1080 - 6*d**5 + d**5 + 48*d**3 - 227973*d**2 + 227253*d**2 + 182*d**3 = 0. What is d?
-8, -1, 3
Let a(k) = 10 - k - 7*k - 20*k**2 - 12*k. Let m(s) = -4 + 3 + 0 - s**2. Let v(l) = a(l) - 15*m(l). Factor v(n).
-5*(n - 1)*(n + 5)
Let v(r) be the third derivative of 2*r**2 + 10*r + 0*r**3 - 3/20*r**6 + 0 + 1/168*r**8 - 1/3*r**4 + 11/30*r**5 + 1/105*r**7. Find a such that v(a) = 0.
-4, 0, 1
Let o be (-160)/28 - (-12 + -13 + (11 - -6)). Suppose o*q + 2/21*q**4 + 44/21*q**2 + 6/7 + 16/21*q**3 = 0. Calculate q.
-3, -1
Let j = -16078 - -16081. Let o(p) be the third derivative of -1/6*p**4 - 1/20*p**5 + 0 - 1/240*p**6 + 0*p + 0*p**j - p**2. Let o(v) = 0. What is v?
-4, -2, 0
Let z(l) be the first derivative of l**5/15 + l**4/3 - 16*l**3 - 48*l**2 - 10. Let t(r) be the second derivative of z(r). Factor t(c).
4*(c - 4)*(c + 6)
Let c(l) = -6*l**2 + 6*l + 3. Let i(v) = v**3 - 13*v**2 + 12*v + 5. Suppose 23 = 5*r + 2*h, 8*r + 16 = 12*r + h. Let u(x) = r*i(x) - 5*c(x). Factor u(n).
3*n*(n - 2)*(n - 1)
Let u(o) be the first derivative of -1/9*o**4 - 98 + 0*o**2 + 0*o + 212/27*o**3. What is j in u(j) = 0?
0, 53
Let t be (((-2)/(-3))/(-2))/(5/(-15)). Let f = 2 + t. Factor q**3 - f*q**2 + 45 - 19 - 22.
(q - 2)**2*(q + 1)
Let -3*q**3 - 1616912*q + 27*q**2 + 808436*q + 808443*q - 63 = 0. What is q?
-1, 3, 7
Suppose 2*k - r = 8, -2*r - 2*r = 0. Let b be 4*-12*(-3)/48. Factor -10*p**b + 86*p + p**4 - 76*p - 6*p**k + 5*p**2.
-5*p*(p - 1)*(p + 1)*(p + 2)
Let b(m) be the second derivative of -m**6/600 - 7*m**5/200 - 5*m**3 - 3*m**2/2 + m - 22. Let h(q) be the second derivative of b(q). Factor h(a).
-3*a*(a + 7)/5
Let b = 57 + -31. Suppose -2 = 6*o - b. Determine h so that 10 + 5*h + 5*h**2 - o - 6 = 0.
-1, 0
Let m(w) = -2*w**2 - 2762*w - 941162. Let g(d) = 3*d - 5. Let n(r) = -12*g(r) - 2*m(r). Determine o so that n(o) = 0.
-686
Suppose 209*v - 556 - 489 = 0. Let t(h) be the second derivative of 4/3*h**3 + 0*h**v + 12*h - 2/15*h**6 + 0*h**2 + h**4 + 0. Factor t(f).
-4*f*(f - 2)*(f + 1)**2
Suppose 173*n - 172*n + 886 = 0. Let y = -886 - n. Suppose y*o**2 + 0 + 0*o - 1/4*o**4 + 0*o**3 