w + 58)
Let o = 5/18176 - -36297/199936. Factor 0 + o*r**2 - 2/11*r**3 - 2/11*r**4 + 2/11*r**5 + 0*r.
2*r**2*(r - 1)**2*(r + 1)/11
Let f(y) = -y**4 - 2*y**3 + y + 1. Let h(j) = 9*j**4 + 2*j**3 + 24*j**2 + 248*j - 520. Let m(p) = 8*f(p) + h(p). Factor m(c).
(c - 8)**2*(c - 2)*(c + 4)
Let y(i) be the third derivative of i**7/420 + 13*i**6/80 + 89*i**5/30 - 33*i**4/4 - 147*i**2 - 3*i - 2. Factor y(r).
r*(r - 1)*(r + 18)*(r + 22)/2
Suppose 4887*b - 4898*b - 106 = 5*g, -3*b = -g + 36. What is r in 16/13 - 4/13*r**2 - 2/13*r**g + 8/13*r = 0?
-2, 2
Let f(y) = -21*y**2 - 85*y - 74. Let q(t) = -4*t**2 + 5*t - 1. Let x(i) = 4*f(i) - 4*q(i). Factor x(l).
-4*(l + 1)*(17*l + 73)
Let j(k) be the third derivative of k**8/1848 + 19*k**7/1155 + 28*k**6/165 + 94*k**5/165 - 16*k**4/33 - 256*k**3/33 + 6331*k**2. Find o, given that j(o) = 0.
-8, -2, 1
Let i(t) = -t**3 + 4*t**2 + 24*t - 36. Let u(r) = -r**3 + 2*r**2 + 25*r - 35. Let m = 38 + -35. Let n(l) = m*i(l) - 4*u(l). Factor n(v).
(v - 2)**2*(v + 8)
Factor -1/2*z**2 - 15*z + 31/2.
-(z - 1)*(z + 31)/2
Let o(v) be the third derivative of 2*v**7/105 - 13*v**6/10 - 26*v**5/3 + 28*v**4 + 12*v**2 + 51*v. Suppose o(b) = 0. What is b?
-4, 0, 1, 42
Let h = -14597 - -14601. Let j(c) be the first derivative of 12 - 55/2*c**h - 45/4*c + 165/4*c**2 - 4*c**5 - 485/12*c**3. Factor j(r).
-5*(r + 3)**2*(4*r - 1)**2/4
Let h(j) be the second derivative of 0 + 1/6*j**3 + 5/2*j**2 - 5/12*j**4 - 1/20*j**5 - 3*j. Suppose h(i) = 0. What is i?
-5, -1, 1
Let a(j) be the third derivative of j**5/270 + 91*j**4/108 + 10*j**3/3 + 5*j**2 + 20*j. Suppose a(z) = 0. What is z?
-90, -1
Let i be (-14)/(196/(-63)) - 693/154. Factor -1/4*w**4 + 0 + i*w**3 + 0*w + 1/4*w**2.
-w**2*(w - 1)*(w + 1)/4
Find v such that -16 - 3*v**4 - 1677140*v - 56 + 29*v**2 + 6*v**3 + 46*v**2 + 1677134*v = 0.
-4, -1, 1, 6
Let n = -4011 - -2758. Let k = 1253 + n. Factor -3*u**3 + 0*u + k*u**2 + 1/2*u**4 + 0 + 1/2*u**5.
u**3*(u - 2)*(u + 3)/2
Let s(w) = w**3 + 33*w**2 - 29*w + 170. Let k be s(-34). Suppose 2 = 4*r + 2*v, -14*r + 10*r + 3*v + 27 = k. Factor -1/8*t + 1/8*t**r - 1/4 + 1/4*t**2.
(t - 1)*(t + 1)*(t + 2)/8
Let n = -52/67 - -223/201. Let v(l) be the second derivative of 0*l**2 - 10*l - n*l**3 - 1/18*l**4 + 0. Let v(w) = 0. What is w?
-3, 0
Let r(x) = -16*x**2 - 79*x + 12. Let w(t) be the third derivative of t**5/4 + 10*t**4/3 - 5*t**3/3 + 38*t**2 - t. Let p(q) = 5*r(q) + 4*w(q). Factor p(i).
-5*(i + 4)*(4*i - 1)
Let j(x) = -45*x**2 + 27*x + 51. Let m be j(-2). Let y be m*(-3)/(-81) - -7. Factor 0*f + y*f**2 - 8/9.
2*(f - 2)*(f + 2)/9
Let j = -2059983 + 2059985. Factor 12*l + 0 - 3/2*l**j.
-3*l*(l - 8)/2
Let k = 741 - 693. Determine n so that k*n + n**3 - 28*n**2 - 15*n**3 + 16*n**3 = 0.
0, 2, 12
Let y be -13 + (34 - (22 + -1)). Let h(d) be the second derivative of 0*d**2 + 2/3*d**3 - 1/3*d**4 + y + 27*d. Factor h(j).
-4*j*(j - 1)
Let f(r) be the second derivative of -r**6/75 - 18*r**5/25 - 19*r**4/2 + 722*r**3/15 + 1433*r. Factor f(i).
-2*i*(i - 2)*(i + 19)**2/5
Let f(u) be the second derivative of u**5/360 - u**4/72 + u**3/36 + 9*u**2/2 - 81*u. Let q(t) be the first derivative of f(t). Find r such that q(r) = 0.
1
Let b(r) be the second derivative of -4/3*r**3 - 204*r + 0 - 11/30*r**4 + 4/5*r**2. Determine z so that b(z) = 0.
-2, 2/11
Let -639*l**5 - 16*l**3 - 34*l**4 - 350*l**2 + 374*l**2 + 629*l**5 = 0. Calculate l.
-2, 0, 3/5
Let u(l) = 11*l**3 - 833*l**2 + 830*l + 8. Let k(w) = -273*w**3 + 20823*w**2 - 20748*w - 198. Let x(h) = 4*k(h) + 99*u(h). Factor x(d).
-3*d*(d - 274)*(d - 1)
Let u(s) = 2397*s - 19174. Let h be u(8). Factor 2/13*y**h + 3698/13 - 172/13*y.
2*(y - 43)**2/13
Let z = 1640 - 1608. Suppose 3*x = -2*q + 16, -4*x = 4*q - z + 4. Determine p, given that 15/8*p**3 - 3/2*p**4 + 3/8*p**5 + 0*p - 3/4*p**x + 0 = 0.
0, 1, 2
Suppose 2*t - 4*t = -3*m, -2*m = 4*t - 32. Suppose -t*q + 392 = -586. Find h such that -177*h - 2*h**4 + 3*h**4 + q*h - 4 - 18*h**2 - 3*h**4 - 10*h**3 = 0.
-2, -1
Let q(y) = 595*y**2 - 16815*y - 17400. Let w(n) = -n**3 - 2*n**2 - 1. Let d(c) = -q(c) - 5*w(c). Let d(k) = 0. Calculate k.
-1, 59
Let p be (-2 + (2 - 1) + 12)*57. What is h in -30*h**3 + 3*h**5 + 405*h - 60*h**4 - 47*h**3 + 87*h**2 + 2*h**5 + 347*h**3 - p*h**2 = 0?
0, 3
Suppose -885*p = -2257*p + 5488. Let d be (20/54)/5*12. Let -2/9*y**p + 2/9*y**2 - d*y**3 + 0 + 8/9*y = 0. What is y?
-4, -1, 0, 1
Let q = 1877 - 1874. Let s(h) be the first derivative of -18*h**2 - 24*h + 98*h**3 - 54*h**5 + 561/4*h**4 - 175/2*h**6 + q. Let s(l) = 0. What is l?
-1, -2/5, 2/7, 1
Let m(r) = -2*r**2 + 22*r - 32. Let g(d) = -3*d**2 + 26*d - 31. Suppose -3*b = -9, z + b - 20 = -4*b. Let j(f) = z*m(f) - 4*g(f). Factor j(v).
2*(v - 3)*(v + 6)
Let l be (2/(-2))/((-17)/(-51)). Let x(o) = -4*o - 10. Let g be x(l). Solve 0*u**3 + 0*u**2 + 3*u**g + u**3 - 4*u**3 = 0 for u.
0, 1
Let r be (-32)/(-10)*60/3. Factor 14*g - 12*g - 2*g**3 - 16 + 38*g + r + 4*g**2.
-2*(g - 6)*(g + 2)**2
Let z(w) be the second derivative of w**7/21 + 19*w**6/5 + 468*w**5/5 + 1690*w**4/3 - 891*w. Factor z(k).
2*k**2*(k + 5)*(k + 26)**2
Let c(j) be the first derivative of -j**7/70 + j**6/40 + j**5/5 - j**4/2 + 14*j**2 + 100. Let l(q) be the second derivative of c(q). Find n such that l(n) = 0.
-2, 0, 1, 2
Let -597*b**2 + 3/4*b**5 + 0 + 297*b + 1509/4*b**3 - 78*b**4 = 0. Calculate b.
0, 1, 2, 99
Let z = -15590 - -15594. Let m(v) be the second derivative of -1/30*v**z + 0 + 23*v + 2/5*v**3 + 0*v**2. Suppose m(a) = 0. What is a?
0, 6
Suppose 0 = -2*c - 0*c - 2*g, c + 3*g = -4. Solve 86 - 126*f**c + 260*f**2 - 130*f**2 - 10 + 106*f - 26*f = 0 for f.
-19, -1
Let z(o) be the first derivative of 1024*o**3/3 + 1023*o**2 - 4*o - 5846. Factor z(r).
2*(r + 2)*(512*r - 1)
Let i(d) = -7*d**2 + 1054*d - 2110. Let n(r) = 16*r**2 - 2107*r + 4215. Let j(l) = 13*i(l) + 6*n(l). Factor j(h).
5*(h - 2)*(h + 214)
Let q = 634 + -632. Suppose -q*z = 1687 - 1691. Factor 4/5*b**3 + 8/5*b + 12/5*b**z + 0.
4*b*(b + 1)*(b + 2)/5
Let u(k) be the first derivative of k**4/36 - 53*k**3/27 - 1529*k**2/18 - 3025*k/3 - 5160. Factor u(n).
(n - 75)*(n + 11)**2/9
Let r = 70571 + -351201/5. Let o = r - 329. Factor -1/5*a**4 - o*a**2 - a**3 - 7/5*a - 2/5.
-(a + 1)**3*(a + 2)/5
Factor 3/4*r**4 + 26421/2*r**2 + 1134675/4 - 192*r**3 - 118080*r.
3*(r - 123)**2*(r - 5)**2/4
Let o(f) = 8 + 3*f + 17*f - 12*f - f**3 - f**2. Let l be o(-3). Factor 9*g - 5*g**3 + 2 - 12 + 16*g - 15*g**l + 5*g**4.
5*(g - 1)**3*(g + 2)
Let g(c) be the third derivative of c**6/80 + 113*c**5/4 + 319225*c**4/16 + 16*c**2 + c - 44. Factor g(m).
3*m*(m + 565)**2/2
Let c(r) be the first derivative of 28*r - 4*r**3 - 9*r**2 - 247 + 1/2*r**4. Factor c(u).
2*(u - 7)*(u - 1)*(u + 2)
Let s(y) = -y**3 + 143*y**2 - 5067*y - 229. Let u be s(78). Let 0 - 12*x**2 + 2*x**3 - 9/2*x**u + 27*x**4 + 0*x = 0. What is x?
-2/3, 0, 2/3, 6
Let l be (-2)/(-8)*(-16)/(-6). Let y be 8 - ((-384)/(-63) + (-21)/((-147)/4)). Factor -2/3*n**2 - l - y*n.
-2*(n + 1)**2/3
Let k be 47 - (-5 + 40 - 30). Determine m, given that -12 + k*m - 21/2*m**3 + 3*m**2 = 0.
-2, 2/7, 2
Let u be 8/(-3) - (1 - 0 - (-968)/(-24)). Factor 15*g + 5/3*g**2 - u.
5*(g - 2)*(g + 11)/3
Factor -1019*x**2 + 1316*x**2 - 2439*x**2 + 3*x**3 + 8260*x - 6122*x**2 + x**3.
4*x*(x - 2065)*(x - 1)
Let n(p) = -3*p**3 + 12*p**2 + 65*p - 78. Let l(z) = -3*z**3 + 9*z**2 + 64*z - 75. Let q(r) = 4*l(r) - 5*n(r). Factor q(d).
3*(d - 10)*(d - 1)*(d + 3)
Let d be (25 - 2) + (64 - 84). Let b(m) be the third derivative of -2/39*m**d - 1/390*m**5 + m - 1/52*m**4 + 0 - 14*m**2. Factor b(z).
-2*(z + 1)*(z + 2)/13
Suppose -6 = -15*x + 13*x. Suppose -5*k**2 + 3113*k**3 - 3112*k**x + 7*k - k = 0. What is k?
0, 2, 3
Let -a**3 + 6*a**2 + 385 + 171*a + 0*a**2 - 231 - 164 - 166 = 0. Calculate a.
-11, 1, 16
Let c(s) be the second derivative of s**5/5 + 179*s**4/3 - 93*s - 4. Factor c(l).
4*l**2*(l + 179)
Let d = 1030/129 - 286/43. Factor -60*a**2 + 100/3*a + 1000/3 - 52/3*a**3 - d*a**4.
-4*(a - 2)*(a + 5)**3/3
Suppose 0 = 6*g - 1971 + 1959. Solve 10*d**3 + 5*d**4 + 5*d**3 - 4*d - 14*d - g*d = 0.
-2, 0, 1
Let u(l) = -3 + 2 + 24 + 2*l**3 - 11*l**2 + 20*l. Let v(j) = -9*j**3 + 45*j**2 - 81*j - 93. Let g(d) = -21*u(d) - 5*v(d). Let g(s) = 0. What is s?
-3, -1, 2
What is w in -242/3*w**4 