*4/28 - 6*l**3/7 + 2*l**2/7 + 24*l/7 + 1905. Find o such that c(o) = 0.
-6, -1, 2
Let x(n) be the second derivative of -n**4/18 - 86*n**3/9 + 29*n**2 + 2378*n. Find u such that x(u) = 0.
-87, 1
Let n(k) = -k**3 + 142*k**2 - 4999*k - 459. Let d be n(77). Find a, given that -10/7*a + 1/7*a**2 + d = 0.
3, 7
Let l be (-4)/16 + ((-476)/16)/(-7). Factor 2*w - w**2 - 47*w**3 - 50*w**3 + 95*w**3 + w**l.
w*(w - 2)*(w - 1)*(w + 1)
Let j be (29 + 3)/16 + 2. Let t(c) be the second derivative of 32*c - 5/12*c**j + 0 + 0*c**2 - 5/2*c**3. Suppose t(u) = 0. What is u?
-3, 0
Suppose -114*f + 102*f = -12. Let j(c) = -7*c**2 - 216*c - 144. Let p(t) = 2*t**2 + t - 1. Let g(k) = f*j(k) - 4*p(k). Factor g(i).
-5*(i + 14)*(3*i + 2)
What is o in 2*o**3 + 0 + 0*o + 24/19*o**2 + 2/19*o**5 + 16/19*o**4 = 0?
-4, -3, -1, 0
Let j = -439 - -454. Suppose 0*b**2 + j*b**2 - 9 - 6 + 10 + 0 - 10*b = 0. Calculate b.
-1/3, 1
Let p = -115899/8 - -579639/40. Factor -3/5*k**2 + 0 - 3/5*k**3 + p*k.
-3*k*(k - 2)*(k + 3)/5
Let t = 139 - 131. Let -6*m + m**2 - 18*m + 16 + t*m**2 + 3*m**2 - 2*m**3 = 0. Calculate m.
2
Let p be ((-23128)/(-42))/((-2)/(-3)). Determine l so that -830*l + p*l - 3*l**2 + l**5 + 7*l**2 + 3*l**3 - 4*l**4 = 0.
-1, 0, 1, 2
Let n(y) = 30*y**2 + 60*y. Let j(s) = -s**2. Let z = 92 + -117. Let p(h) = z*j(h) + n(h). Factor p(l).
5*l*(11*l + 12)
Let a be (-32)/9*(16680/528 - 32). Factor a*f + 2/11*f**5 + 0 - 14/11*f**4 + 36/11*f**3 - 40/11*f**2.
2*f*(f - 2)**3*(f - 1)/11
Let v(z) be the third derivative of -z**7/105 - z**6/4 - 3*z**5/5 + 26*z**4/3 + z**2 - 36*z + 29. Let v(t) = 0. What is t?
-13, -4, 0, 2
Let r(m) be the second derivative of m**6/240 + m**5/30 + 5*m**4/48 + m**3/6 + 16*m**2 - 134*m. Let n(d) be the first derivative of r(d). Factor n(j).
(j + 1)**2*(j + 2)/2
Let l(h) = -h**2 + 5*h - 2. Let u = 3938 - 3942. Let f(s) be the third derivative of -s**3/6 + s**2. Let p(i) = u*f(i) - 2*l(i). Factor p(o).
2*(o - 4)*(o - 1)
Suppose 5 = 4*p + 3*u, 16 - 36 = -3*p + u. Let z(v) = -v**2 - 9*v - 9. Let o be z(-7). Factor -w**5 + 7*w**p + 4*w**2 - 8*w**o + 7*w**3 - w**3.
-2*w**2*(w - 2)*(w + 1)**2
Let x(m) be the third derivative of 17*m**6/90 + 53*m**5/60 + 95*m**4/144 + m**3/6 - 1781*m**2. Factor x(h).
(h + 2)*(4*h + 1)*(34*h + 3)/6
Suppose -80*i = -83*i + 3*g + 12, -2*g = -5*i + 8. Solve -2/9*d**3 + 8/9*d + 0*d**2 + i = 0 for d.
-2, 0, 2
Let o = 668 + -605. Let k be 0 + 7 + -1 - (-57 + o). Find i, given that -6*i + k + 16/3*i**2 + 2/3*i**3 = 0.
-9, 0, 1
Let b = 54 + -40. Suppose 5*k - b*d - 28 = -11*d, 5*d + 5 = 0. Solve 0*n + 3/5*n**3 + 3/5*n**4 + 1/5*n**k + 1/5*n**2 + 0 = 0.
-1, 0
Let x(i) be the third derivative of 5/3*i**4 - 7/4*i**6 + 23/42*i**7 + 0*i**3 - 5/84*i**8 + 0 - 2*i**2 + 99*i + 5/3*i**5. Factor x(c).
-5*c*(c - 2)**3*(4*c + 1)
Suppose 0 = 7*w - 4*w + 39. Let b(h) = 15*h**2 + 5*h. Let l(t) = 7*t**2 + 3*t. Let g(i) = w*l(i) + 6*b(i). Solve g(x) = 0.
-9, 0
Let b(h) be the first derivative of h**7/105 - h**5/25 + h**3/15 - 10*h + 47. Let k(q) be the first derivative of b(q). Factor k(w).
2*w*(w - 1)**2*(w + 1)**2/5
Suppose -105*h - 33 = -116*h. Factor -i**3 + 18 - 6*i**h + 108*i**2 - 48*i**2 - 5*i**3 + 69*i.
-3*(i - 6)*(2*i + 1)**2
Let j be -38 - 20/(3200/(-1858280)). Factor 5/4*t**3 + 315/4*t**2 + 6615/4*t + j.
5*(t + 21)**3/4
Suppose -6*x - 26 = -9*x + 4*p, 5*x = -3*p - 5. Find a, given that -8 - 4*a**2 - 3*a - 2 + 6*a**x + 3*a**2 - 2*a = 0.
-1, 2
Let a(v) be the third derivative of -85*v**2 + 33/16*v**4 + 0*v - 1089/8*v**3 - 1/80*v**5 + 0. Suppose a(l) = 0. Calculate l.
33
Let o(j) be the third derivative of 1/735*j**7 - 2/3*j**3 - 11/28*j**4 - 23/210*j**5 + 0*j + 9*j**2 - 1/140*j**6 + 4. Solve o(r) = 0 for r.
-2, -1, 7
Suppose 368*j**2 - 6608*j - 733*j**2 - 3042097 + 363*j**2 - 367607 - 2048504 = 0. What is j?
-1652
Let x(m) = -2*m**3 + 47*m**2 + 22*m + 53. Let k = 72 + -48. Let t be x(k). Factor -2*o - 8*o**3 - 4*o**5 + 5*o**3 + 7*o**3 + 2*o**t.
-2*o*(o - 1)**2*(o + 1)**2
Suppose 0 + 5298/7*x**3 - 17280/7*x + 15/7*x**5 - 41184/7*x**2 + 93*x**4 = 0. Calculate x.
-24, -2/5, 0, 5
Factor -6*h**3 - 648/7 - 270/7*h**2 - 702/7*h - 2/7*h**4.
-2*(h + 3)**3*(h + 12)/7
Determine j, given that -1/3*j**4 - 3*j**3 + 29/3*j + 6 + j**2 = 0.
-9, -1, 2
Let z(s) = -15*s**2 - 35*s + 35. Let d = 147 - 146. Let o(q) = 2*q + 1. Let u(j) = d*o(j) + z(j). Factor u(p).
-3*(p + 3)*(5*p - 4)
Let a(h) be the first derivative of 57/10*h**2 - 1/5*h**3 + 63 - 54/5*h. Factor a(b).
-3*(b - 18)*(b - 1)/5
Let m be (0*14/196)/((-12)/(-6)). Let h(p) be the first derivative of -32 + m*p**4 + 4/21*p**3 - 2/35*p**5 + 0*p**2 - 2/7*p. Factor h(q).
-2*(q - 1)**2*(q + 1)**2/7
Let w be 3 - 7 - (3 - 24). Find z, given that w*z - z**2 + z + 2*z**2 - 25*z = 0.
0, 7
Let j(m) be the second derivative of -m**4/28 + 53*m**3/14 + 165*m**2/7 - 10*m + 49. Factor j(q).
-3*(q - 55)*(q + 2)/7
Let h(x) be the third derivative of x**5/12 - 559*x**4/48 - 14*x**3/3 + x**2 - 37*x. Factor h(l).
(l - 56)*(10*l + 1)/2
Let b be 174 + 24/3 + -4. Let g = -1244/7 + b. Determine h so that -6/7*h**3 + 6/7*h - 4/7 + g*h**4 + 2/7*h**2 = 0.
-1, 1, 2
Let d(g) be the third derivative of 15*g**7/56 - 743*g**6/32 - 2677*g**5/120 + 163*g**4/3 - 100*g**3/3 - 2869*g**2. Find n, given that d(n) = 0.
-1, 4/15, 50
Let o be 20340/1932 - (-5 + 1)/28. Let f = 252/23 - o. Factor 0*n - 3/7*n**3 - f*n**2 + 0.
-n**2*(3*n + 2)/7
Solve 2/17*h**3 - 2/17*h**2 - 580/17*h - 576/17 = 0.
-16, -1, 18
Suppose 6*b = 9*b - 9, -3*b = 4*l - 97. What is m in 8*m**4 - l*m - 15*m - 8*m**2 - 32 - 4*m**4 - 11*m + 12*m**3 = 0?
-2, -1, 2
Suppose -33 - 22 = -5*t. Suppose 2016 = t*j - 5*j. Suppose 87*x**2 + 513*x**3 + 43 + 104 - j*x - 519*x**3 = 0. Calculate x.
1/2, 7
Let h(l) = -4*l**2 - 119*l - 87. Let y(v) = v**2 - 4*v - 146. Let f be y(13). Let x be h(f). Factor 2/7*k**2 - 2/7 + x*k.
2*(k - 1)*(k + 1)/7
Let a be (14/21)/2*(-1 - -130). Let r = a - 40. Determine p, given that 20*p**2 + p**r + 7*p**3 - 3*p**3 + 10 + 25*p = 0.
-2, -1
Suppose 118*r = 74*r + 60*r - 48. Find g such that -2 + 20/3*g**r - 46/3*g**2 + 32/3*g = 0.
3/10, 1
Suppose 120*q - 49/2*q**2 + 1/2*q**3 + 4950 = 0. Calculate q.
-11, 30
Let a = 1158 - 1173. Let n be a/(-36) + (-1)/32*-8. Determine k so that -n*k**5 - 2/3*k**2 + 0 + 0*k - 2*k**3 - 2*k**4 = 0.
-1, 0
Let v(f) be the third derivative of 0*f + 4*f**2 + 8 - 55/48*f**4 - 25/6*f**3 - 1/24*f**5. Factor v(u).
-5*(u + 1)*(u + 10)/2
Let f(t) be the first derivative of -t**4/10 - 34*t**3/5 - 504*t**2/5 + 1568*t - 141. Factor f(n).
-2*(n - 5)*(n + 28)**2/5
Let l = -3/19448 - -622345/58344. Solve 0 + 0*r**2 - l*r**4 + 6*r**5 + 0*r - 8/3*r**3 = 0 for r.
-2/9, 0, 2
Let v(y) = 9*y**2 + 26. Let b(c) = 7*c**2 + 24. Suppose 0 = -10*x + 22 + 18. Let k(l) = x*v(l) - 5*b(l). Factor k(h).
(h - 4)*(h + 4)
Suppose -3*w + 7 = -b - 13, 0 = 2*b - 2. Suppose m + 42 = w*m. Determine g so that -37*g - m*g**2 - 245 + 2*g**2 - 33*g = 0.
-7
Let j(g) be the first derivative of -g**8/2100 - g**7/50 - 2*g**6/45 - 18*g**3 + 25. Let z(i) be the third derivative of j(i). Let z(r) = 0. Calculate r.
-20, -1, 0
Let n(k) be the first derivative of -k**4/24 + 92*k**3/9 - 2116*k**2/3 - 1403. Find l, given that n(l) = 0.
0, 92
Let c(o) be the second derivative of -o**7/21 + 18*o**6/5 + 29*o**5/5 - 82*o**4/3 - 19*o**3 + 110*o**2 - 1681*o. What is h in c(h) = 0?
-2, -1, 1, 55
Factor -624/7*q - 51/7*q**2 - 1/7*q**3 + 676/7.
-(q - 1)*(q + 26)**2/7
Let c be (-1442)/1648*(33/35 - 1). Let h(v) be the first derivative of 0*v - c*v**5 + 15/16*v**4 - 11 + 125/8*v**2 - 25/4*v**3. Find l such that h(l) = 0.
0, 5
Let z(y) be the second derivative of -1/20*y**6 + 3/10*y**5 + 5/8*y**4 + 0*y**2 - 2 + 0*y**3 + 15*y. Solve z(w) = 0 for w.
-1, 0, 5
Let x(t) be the second derivative of t**5/50 + 3*t**4/5 - 5*t**3/3 - 114*t**2/5 + 10*t + 48. Factor x(m).
2*(m - 3)*(m + 2)*(m + 19)/5
Suppose 0 = -3*g + 26 - 14, -2*x - 4*g - 2786 = 0. Let m = 21019/15 + x. Solve 4/5*d**2 - m*d**4 - 2/15*d**5 + 2/3*d**3 + 0*d + 0 = 0.
-3, -1, 0, 2
Let l(d) be the second derivative of -1/9*d**3 - 1/2*d**2 - 38*d + 1/36*d**4 + 1. Factor l(h).
(h - 3)*(h + 1)/3
Let g(d) be the first derivative of -d**6/15 + 96*d**5/25 - 697*d**4/10 + 300*d**3 + 2080*d**2 - 4800*d + 12354. Suppose g(a) = 0. What is a?
-3, 1, 10, 20
Let b(g