3*i**2 - 2142*i. Determine x so that k(x) = 0.
-6, 139
Let k(s) = -5*s**3 - 21*s**2 + 179*s + 39. Let j(t) = -14*t**3 - 64*t**2 + 534*t + 114. Let h(o) = -3*j(o) + 10*k(o). Factor h(n).
-2*(n - 4)*(n + 6)*(4*n + 1)
Suppose 147*s - 2 = 146*s. Factor -10*q - 22*q - 61*q**2 + 65*q**s - 36.
4*(q - 9)*(q + 1)
Let p(c) = 6*c**4 + 112*c**3 + 362*c**2 - 96*c. Let o be ((-10)/30)/(7/84). Let i(w) = w**4 - w**3 + w**2 - w. Let x(h) = o*i(h) - 2*p(h). Factor x(u).
-4*u*(u + 7)**2*(4*u - 1)
Let t be (-28*(-5)/60)/((-45)/(-54)). Determine s so that -t*s**3 - 36/5 + 2/5*s**4 + 26/5*s**2 + 6/5*s = 0.
-1, 2, 3
Let c(l) be the second derivative of -l**4/30 + 58*l**3/15 + 136*l**2 + 811*l + 2. Factor c(u).
-2*(u - 68)*(u + 10)/5
Factor -2*v**2 + 0*v**3 + 0 + 8/3*v + 1/6*v**4.
v*(v - 2)**2*(v + 4)/6
Suppose -2639 = -1339*v + 8 + 1370. Suppose 0*i = -3*i. Find o, given that 0*o + i - 2/15*o**v - 2/15*o**2 = 0.
-1, 0
Let r = 513 - 507. Let s(k) be the first derivative of -1/5*k**5 + 6 + 0*k + 0*k**2 - 1/9*k**3 - 1/4*k**4 - 1/18*k**r. Determine y, given that s(y) = 0.
-1, 0
Let h(i) be the first derivative of 1/15*i**5 - 6*i + 1/45*i**6 + 1/18*i**4 + 0*i**3 + 0*i**2 - 12. Let s(f) be the first derivative of h(f). Factor s(b).
2*b**2*(b + 1)**2/3
Let o(d) = -2*d**2 + 172*d + 12867. Let g be o(-48). Factor 258/7*h**2 + 30/7 - 178/7*h + 18/7*h**g.
2*(h + 15)*(3*h - 1)**2/7
Let n be 37/(4*39/456). Let l = n - 108. Factor l*u**2 + 0 + 2/13*u.
2*u*(u + 1)/13
Find o such that -111*o**3 - 235 - 824*o**2 - 245 - 53*o**3 + 464 - 676*o = 0.
-4, -1, -1/41
Let o(c) be the first derivative of c**6/45 - c**5/90 + 53*c**2/2 + 57. Let y(p) be the second derivative of o(p). Factor y(d).
2*d**2*(4*d - 1)/3
Let p(y) be the first derivative of 1/20*y**4 + 31 + 12/5*y - 4/5*y**2 - 1/15*y**3. Factor p(u).
(u - 2)**2*(u + 3)/5
Let h(s) be the third derivative of -s**6/20 - 9*s**5/35 - 2*s**4/7 - 5*s**2 - 35. Factor h(o).
-6*o*(o + 2)*(7*o + 4)/7
Solve -2/3*s**3 - 42*s - 34/3*s**2 + 54 = 0.
-9, 1
Let w(a) be the third derivative of 247*a**5/120 + 31*a**4/3 + a**3/3 - 2*a**2 + 455*a. Determine o so that w(o) = 0.
-2, -2/247
Let a(i) be the first derivative of -i**7/1960 - i**6/840 - 2*i**3 + 16. Let s(q) be the third derivative of a(q). Factor s(t).
-3*t**2*(t + 1)/7
Let v be 0/((0 + 1)*200/40). Let n(g) be the first derivative of 12 + 0*g**3 + 0*g**2 + 0*g**4 + v*g - 1/25*g**5. Solve n(t) = 0.
0
Suppose -94*j + 92*j - 2 = -2*n, 2*n + 2*j - 6 = 0. Let y(l) be the first derivative of -1/3*l - 1/12*l**n + 1/18*l**3 - 23. Determine k so that y(k) = 0.
-1, 2
Suppose -5*i = -15*i + 10110. Suppose 18*h**5 - 152*h**2 + 352 - 800*h**3 - 147*h + i*h - 60*h**3 + 400*h + 10*h**5 + 232*h**4 = 0. What is h?
-11, -1, -2/7, 2
Let b(v) be the third derivative of 5*v**8/336 - 46*v**7/21 + 2473*v**6/24 - 3587*v**5/6 - 382925*v**4/6 - 2456500*v**3/3 + 647*v**2. Factor b(f).
5*(f - 34)**3*(f + 5)**2
Let b(v) = -4*v**2 + 715*v + 650. Let i(a) = 52*a**2 - 9316*a - 8448. Let c(z) = -40*b(z) - 3*i(z). What is n in c(n) = 0?
-1, 164
Let x(t) = -2*t + 7. Let p be x(0). Suppose -p*b - 18 = -10*b. Find v, given that v**2 + b*v**2 - 14*v**2 + 9*v**2 - 2*v = 0.
0, 1
Let u = -33 + 52. Let 4*a**2 - a**5 + 6*a**2 - 10*a**2 - u*a**3 + 2*a**4 + 6*a**2 + 4*a**5 = 0. What is a?
-3, 0, 1/3, 2
Let f(v) be the second derivative of v**5/12 - 35*v**4/24 + 19*v**2 - 14*v. Let k(g) be the first derivative of f(g). What is j in k(j) = 0?
0, 7
Let y(o) be the first derivative of 5*o**4/4 - 265*o**3/3 + 3875*o**2/2 - 9375*o + 610. Factor y(s).
5*(s - 25)**2*(s - 3)
Let r be 45*19/(-513) - (-4)/((-72)/(-75)). Solve 1/2*w**3 + r*w**2 - 11*w + 8 = 0 for w.
-8, 1, 2
Let g(j) be the first derivative of -j**6/60 + j**5/30 + j**4/6 - j**2 + 4*j - 39. Let w(d) be the second derivative of g(d). Factor w(i).
-2*i*(i - 2)*(i + 1)
Let l(w) = -36*w + 110. Let b be l(3). Suppose -11*x + 8*x - p = 2, -b = p. What is g in x*g - 1/4*g**2 + 9/4 = 0?
-3, 3
Let p(x) = 32*x**3 - 4516*x**2 + 7829*x + 2275. Let f(a) = -208*a**3 + 29356*a**2 - 50888*a - 14784. Let d(q) = 5*f(q) + 32*p(q). Find y, given that d(y) = 0.
-1/4, 2, 140
Let g be 8/14 + ((-370)/(-14) - 3). Let p be (17/51)/(20/g). Determine q, given that -p + 4/5*q**2 + 2/5*q - 4/5*q**3 + 2/5*q**5 - 2/5*q**4 = 0.
-1, 1
Suppose 0 = 5*j + a, 0*j - a = 2*j. Let i(s) be the third derivative of 0*s**3 + j + 0*s**4 - 1/75*s**5 + 14*s**2 + 0*s. Solve i(y) = 0.
0
Let x(k) be the third derivative of -2*k - 1/12*k**5 + 205/12*k**4 - 6*k**2 + 0 - 8405/6*k**3. Factor x(p).
-5*(p - 41)**2
Let d(m) be the third derivative of 0*m**4 + 0*m**5 + 0*m**3 + 59*m**2 - 1/600*m**6 + 1/1050*m**7 + 1/840*m**8 + 0 + 0*m. Solve d(c) = 0 for c.
-1, 0, 1/2
Let p = -598 + -1179. Let f = 5333/3 + p. Factor -4/3 - 8/3*h**2 + 10/3*h + f*h**3.
2*(h - 2)*(h - 1)**2/3
Let s(g) = g - 2. Let v(l) = 2*l - 5. Let y(p) = -9*s(p) + 4*v(p). Let j(w) = -2*w**2 - 10*w - 12. Let a(r) = -j(r) + 6*y(r). Find n, given that a(n) = 0.
-2, 0
Factor -9/2*b**3 + 121/6*b**2 - 1/6*b**4 + 0 - 31/2*b.
-b*(b - 3)*(b - 1)*(b + 31)/6
Determine t, given that -7985*t**4 - 424*t**2 + 1052*t**3 + t**5 - 13*t**5 + 7369*t**4 = 0.
-53, 0, 2/3, 1
Let a(n) be the first derivative of -n**4/10 - 28*n**3/15 + 89*n**2/5 - 228*n/5 + 1463. Factor a(i).
-2*(i - 3)*(i - 2)*(i + 19)/5
Suppose -65*o + 19 = 19. Let t(h) be the first derivative of 3/5*h**2 + 1/5*h**3 + o*h - 1. What is i in t(i) = 0?
-2, 0
Let b be (-84)/(-20) - (-6)/(-30). Find g such that 56*g + 488*g**3 + 492*g**3 - 964*g**3 + 2*g**b + 76*g**2 - 6*g**4 = 0.
-2, -1, 0, 7
Factor -4*c**2 + 5153 - 4493 + 2*c**2 - 19*c - 40*c + 3*c**2.
(c - 44)*(c - 15)
Let n be ((-117)/(-364))/(((-252)/49)/(-12)). Solve n*q**5 + 0*q + 0 - 3/4*q**4 + 3/4*q**2 - 3/4*q**3 = 0 for q.
-1, 0, 1
Let m(y) = y**2 - 4*y - 1. Let j be m(5). Let p = 23/7 + 29/21. Solve 4/3*c**5 - p*c**j + 16/3*c**3 + 2/3 - 4/3*c**2 - 4/3*c = 0 for c.
-1/2, 1
Let x(b) be the third derivative of 0*b - 1/30*b**6 - 96*b**3 + 0 - 5/3*b**5 - 163*b**2 - 28*b**4. Factor x(q).
-4*(q + 1)*(q + 12)**2
Let -69/2*a + 39/2*a**3 - 90 + 75*a**2 = 0. Calculate a.
-4, -1, 15/13
Let z(b) be the second derivative of -b**6/30 + 7*b**5/20 + 23*b**4/12 - 85*b**3/2 + 225*b**2 - 118*b. Find u such that z(u) = 0.
-6, 3, 5
Suppose 102*n - 12 - 108 = 97*n. Let v(t) be the first derivative of 1/12*t**3 + 0*t + 0*t**2 - n. What is d in v(d) = 0?
0
Suppose 5*w - 4*w - 3 = 0. Suppose -5*c = w*c - 16. Factor 5*n**2 - n**2 + 12*n - n**c + 0 + 9.
3*(n + 1)*(n + 3)
Let n(j) be the second derivative of 0 - 5/12*j**3 + 7/24*j**4 + 1/4*j**2 - 56*j - 3/40*j**5. Factor n(l).
-(l - 1)**2*(3*l - 1)/2
Let k(f) be the third derivative of -f**5/20 + 81*f**4/4 - 161*f**3/2 - 700*f**2. Factor k(b).
-3*(b - 161)*(b - 1)
Find u such that 2/7*u**2 - 58*u - 2080/7 = 0.
-5, 208
Let x(s) be the third derivative of s**6/30 + s**5/5 - 44*s**4/3 - 280*s**3 - 2*s**2 + 62*s - 5. Solve x(n) = 0 for n.
-7, -6, 10
Let o(f) be the third derivative of -3*f**6/140 + 719*f**5/70 + 722*f**4/21 + 964*f**3/21 - 328*f**2. Determine x so that o(x) = 0.
-2/3, 241
Suppose 3*f - 2279 = -2279. Let w(i) be the first derivative of -11/5*i**5 + 0*i**2 + f*i + 0*i**3 + 25 - 1/2*i**4 - 5/2*i**6. Factor w(q).
-q**3*(3*q + 1)*(5*q + 2)
Let 539*i**2 + 6*i**4 + 624 - 132*i**3 + 19*i**4 - 352 - 678*i - 26*i**4 = 0. Calculate i.
-136, 1, 2
Suppose 18*y + 28*y**2 + 39*y**3 - 9 - 3*y**4 - 66*y**3 + 37*y**3 - 12*y**3 = 0. What is y?
-3, -1, 1/3, 3
Let s be ((-7)/(42/(-18)))/1. Let b(l) be the first derivative of -1/4*l**4 + 0*l + 1/3*l**3 + s + 1/2*l**2 - 1/5*l**5. What is i in b(i) = 0?
-1, 0, 1
Let j(h) be the first derivative of -h**4/30 - 38*h**3/45 + 64*h**2/15 - 88*h/15 - 3778. Factor j(f).
-2*(f - 2)*(f - 1)*(f + 22)/15
Let v be (-3 - (-8)/6)/(9 - 222/18). Factor 1/2*a**2 + 1/2*a - v*a**3 - 1/2.
-(a - 1)**2*(a + 1)/2
Let x = -230866/21 + 10994. Let v(n) be the first derivative of n**2 - 4/7*n + 18 + x*n**3. Let v(d) = 0. Calculate d.
-2, 1/4
Factor 30 - 12*f**2 - 3/2*f**3 - 33/2*f.
-3*(f - 1)*(f + 4)*(f + 5)/2
Let t(o) = -16*o**4 - 68*o**3 - 240*o**2 - 241*o - 5. Let u(n) = -9*n**4 - 33*n**3 - 120*n**2 - 123*n - 3. Let a(d) = -3*t(d) + 5*u(d). Factor a(k).
3*k*(k + 2)**2*(k + 9)
Let c(m) be the second derivative of -m**5/140 - 5*m**4/7 