/2
Let w(o) = 63*o**3 + 3069*o**2 + 36924*o - 139392. Let a(d) = 31*d**3 + 1531*d**2 + 18464*d - 69696. Let i(n) = 9*a(n) - 4*w(n). Factor i(f).
3*(f - 3)*(3*f + 88)**2
Let o be ((-937805)/(-5423) - 173)*(-29)/1. Find h such that 0*h - 8/15*h**3 + 6/5*h**5 + 0 - 6/5*h**4 + 8/15*h**o = 0.
-2/3, 0, 2/3, 1
Factor 4/3*b**4 - 4*b + 4/3 + 4*b**3 + 1/3*b**2.
(b + 2)**2*(2*b - 1)**2/3
Let j(d) be the third derivative of d**5/40 + 103*d**4/16 - 26*d**3 - 909*d**2 - 2*d. Factor j(l).
3*(l - 1)*(l + 104)/2
Let y(u) be the first derivative of u**6/1800 + 9*u**5/200 - 4*u**3 + u**2/2 - 272. Let t(s) be the third derivative of y(s). Find a, given that t(a) = 0.
-27, 0
Let x(g) be the second derivative of -g**4/12 - 85*g**3/6 - 42*g**2 + g - 72. Factor x(m).
-(m + 1)*(m + 84)
Suppose 0*d + 2*s - 20 = -3*d, -5*d = 4*s - 36. Suppose -358*b - h + 13 = -353*b, -3*b + 2*h = 26. Solve 0*j**3 - 3/7*j**d + 6/7*j**2 + b*j - 3/7 = 0 for j.
-1, 1
Let q(s) = 5*s**3 - 50*s**2 - 160*s - 72. Let m(k) = -5*k**3 + 48*k**2 + 159*k + 76. Let c(a) = -4*m(a) - 5*q(a). Find g such that c(g) = 0.
-2, -2/5, 14
Factor 14*l**2 - 18*l**2 + 41607 - 5*l**2 + 12*l**2 + 24105 - 888*l.
3*(l - 148)**2
Let r = -17 + 27. Suppose -a = 4, r = -2*p - 0*p - 4*a. Factor 8*x - 5*x**p - 35 - x**4 + 39 + 0*x**2 + x**5 + x**2.
(x - 2)**2*(x + 1)**3
Let w(t) be the second derivative of -t**6/135 + t**5/10 - 7*t**4/18 + 19*t**3/27 - 2*t**2/3 - 890*t. Factor w(z).
-2*(z - 6)*(z - 1)**3/9
Let p(m) = 4*m + 11. Let j be p(8). Suppose 0 = -j*t + 48*t - 20. Determine z so that 6*z**3 - 14*z**4 + 10*z**2 - z**t - z**3 - 5*z**5 + 5*z**4 = 0.
-2, -1, 0, 1
Let h(n) be the third derivative of -5*n**8/336 - 5*n**7/14 - 37*n**6/24 - 3*n**5/4 + 95*n**4/12 + 20*n**3 - 534*n**2. Let h(u) = 0. What is u?
-12, -2, -1, 1
Factor -4/3*r**2 - 128/3*r**3 + 0 + 4/3*r**4 + 128/3*r.
4*r*(r - 32)*(r - 1)*(r + 1)/3
Let r = 69102 + -483712/7. What is i in -2*i**3 + 18/7*i**2 + r*i**4 - 108/7 + 54/7*i = 0?
-2, 3
Let k(b) be the first derivative of -1/5*b**5 + 61 + 4*b**3 + 5*b**2 - 11*b - 5/2*b**4. Factor k(r).
-(r - 1)**2*(r + 1)*(r + 11)
Let x(h) be the third derivative of -h**8/1176 - 8*h**7/735 - h**6/420 + 41*h**5/105 + 5*h**4/21 - 200*h**3/21 - 156*h**2 + 2. Let x(u) = 0. What is u?
-5, -2, 2
Let t(k) be the second derivative of -k**4/102 + 126*k**3/17 - 994*k. Let t(q) = 0. Calculate q.
0, 378
Let i(x) be the second derivative of x**5/4 - 65*x**4/6 + 170*x**3 - 1260*x**2 - 5306*x. Factor i(m).
5*(m - 14)*(m - 6)**2
Let -186 + 472 + 1206 - 408*j**3 - 52 + 100*j**4 - 108*j**3 - 4*j**5 + 2152*j + 92*j**2 = 0. Calculate j.
-1, 4, 5, 18
Let g(f) be the third derivative of -f**4 + 1/15*f**5 - 9/140*f**7 + 4/3*f**3 + 0 + 0*f + 5/672*f**8 - 33*f**2 + 1/6*f**6. Suppose g(u) = 0. Calculate u.
-1, 2/5, 2
Solve 217*i + 23*i + 295*i**2 + 250 - 159*i**2 - 151*i**2 + 125*i = 0 for i.
-2/3, 25
Let n(a) be the first derivative of a**4/16 + 3*a**3/2 + 71*a**2/8 - 45*a/2 - 1119. Suppose n(s) = 0. Calculate s.
-10, -9, 1
Let p(k) be the second derivative of -k**5/30 - 5*k**4/9 + 113*k**3/9 - 34*k**2 - 260*k - 1. Factor p(q).
-2*(q - 6)*(q - 1)*(q + 17)/3
Let b be (7 + (-8 - -2))*(4 - 2). Find z, given that -z**4 - 8 + 1 - 6*z**3 - 5*z**b + 7 = 0.
-5, -1, 0
Let p(y) = y**2 + 614*y + 1104. Let f(v) = v**2 + 627*v + 1106. Let x(g) = -5*f(g) + 6*p(g). Determine a, given that x(a) = 0.
-547, -2
Let n(v) be the first derivative of -2*v**6/33 + 86*v**5/55 + 83*v**4/11 + 40*v**3/3 + 124*v**2/11 + 50*v/11 + 2520. Determine x so that n(x) = 0.
-1, -1/2, 25
Suppose -4*h + 12 = 0, 0 = -g + 2*h - 3 + 11. Suppose 0 = -3*x - 4*x + g. Factor 3/4*f**x + 3/4 + 3/2*f.
3*(f + 1)**2/4
Let 1152/13 - 192/13*t - 2/13*t**5 - 256/13*t**3 - 38/13*t**4 - 664/13*t**2 = 0. What is t?
-6, -4, 1
Suppose -24*o + 22 = -26. Let 19*x**2 + 14*x**o - 57 - 54*x + 22*x**2 + 19*x**2 - 71*x**2 = 0. Calculate x.
-1, 19
Determine m so that -31*m - 1578*m**3 - 3*m**5 + 4*m + 21*m + 6*m + 795*m**4 = 0.
0, 2, 263
Let w be (9/(-3))/((-15)/20). Suppose 0 = 5*f - 6*f + w. What is l in -f*l**3 + 0*l**3 + 25*l**4 - 26*l**3 + 5*l**2 = 0?
0, 1/5, 1
Let o(r) = -62*r - 1351. Let s(i) = -94*i - 2027. Let l(n) = 8*o(n) - 5*s(n). Let v be l(-26). Factor -2/17*z**2 + 2/17*z**v - 6/17 - 10/17*z.
2*(z - 3)*(z + 1)**2/17
Let q(p) = 11*p**2 + 57*p + 115. Let d(v) = -18*v**2 - 86*v - 172. Let m be -12 + (5 - (0 + 1)). Let w(g) = m*q(g) - 5*d(g). Solve w(a) = 0 for a.
-2, 15
Suppose -5*h + 3*z = 6 - 43, 5*z = h - 3. Suppose 2 = -v + h. Factor -2 + 6*t**4 - 2*t + 1 - v*t**4 + t**4 + 2*t**3.
(t - 1)*(t + 1)**3
Suppose -10*k + 4*w - 7 = -9*k, 3*k = -3*w + 39. Let c be -1 + 0 + -4 + k. Factor -1/4*m**2 - 1/4*m**c + 0 + 0*m - 1/2*m**3.
-m**2*(m + 1)**2/4
Suppose -565 = -13*x - 3165. Let v be 9/24 - 805/x. Determine h so that -12/5 - 8/5*h**2 + v*h - 2/5*h**3 = 0.
-6, 1
Let t be (2/12)/((-6)/(-24))*438. Solve -t - 3*a**2 + 201*a - 540 - 75*a - 491 = 0 for a.
21
Let c(j) be the second derivative of 60*j + 90*j**2 + 0 - 5/4*j**4 + 130/3*j**3. Factor c(t).
-5*(t - 18)*(3*t + 2)
Let v(f) = 3*f**4 - 408*f**3 - 9*f**2 + 402*f - 6. Let b(x) = -x**4 + 2*x**2 + x + 1. Let c(i) = -6*b(i) - v(i). Factor c(j).
3*j*(j - 1)*(j + 1)*(j + 136)
Let h = 176689/48 - 3681. Let g(c) be the second derivative of -h*c**4 - 1/80*c**5 + 0*c**2 + 7*c + 1/24*c**3 + 0 + 1/120*c**6. What is s in g(s) = 0?
-1, 0, 1
Let d(t) = 3*t - 33. Let n be d(11). Suppose -7*o = -2*o - 3*x - 55, n = o - 5*x - 33. Factor -4*s**3 - 4*s + o*s**3 - 12*s.
4*s*(s - 2)*(s + 2)
Let x(z) be the first derivative of 3*z**4/28 - 22*z**3/7 + 9*z**2/2 - 3387. Factor x(d).
3*d*(d - 21)*(d - 1)/7
Let k(x) be the first derivative of -608*x**3/15 - 156*x**2/5 - 4*x/5 + 1796. Determine o so that k(o) = 0.
-1/2, -1/76
Let 556*a + 231852 + 1/3*a**2 = 0. Calculate a.
-834
Let m(c) be the second derivative of 2*c**5/15 - 43*c**4/18 + 61*c**3/9 + 6*c**2 - 2856*c. Factor m(k).
2*(k - 9)*(k - 2)*(4*k + 1)/3
Factor 3240 + 57012047*z**2 - 3*z**5 + 0*z**3 - 42*z**3 - 36*z**4 - 57011291*z**2 + 2997*z.
-3*(z - 5)*(z + 3)**3*(z + 8)
Let m(f) = -2*f**3 - 3*f**2 - f - 2. Let s be m(-2). Suppose v = s*v - 15. Let -2*g + 5*g**2 - g**2 + 4*g**v - 2*g**5 - 4*g**4 = 0. Calculate g.
-1, 0, 1
Determine r so that -34/5*r**4 + 0 + 94/5*r**2 + 4/5*r**5 - 36/5*r - 28/5*r**3 = 0.
-2, 0, 1/2, 1, 9
Let p(a) be the first derivative of 5/3*a**3 - 35*a**2 + 141 - 75*a. Find k, given that p(k) = 0.
-1, 15
Suppose 2*f - z + 6 = -193, 3*f + 291 = 3*z. Let x = f + 118. Factor 28*q**2 - x + 8*q**3 + 0*q**2 + 0*q**2 + 16*q.
4*(q + 2)**2*(2*q - 1)
Let w(j) be the first derivative of 1/18*j**4 - 8/9*j**2 + 8/3*j - 2/27*j**3 - 67. Determine c so that w(c) = 0.
-3, 2
Let g(j) be the third derivative of -j**8/1344 + 3*j**7/56 - 29*j**6/32 - 317*j**5/48 - 35*j**4/2 - 24*j**3 + 1734*j**2. Let g(b) = 0. Calculate b.
-1, 24
Let l = -190 - -201. Suppose l*y - 15 - 7 = 0. Solve 10*o + 0 - 5/2*o**y = 0.
0, 4
Let s be 62 - ((-5644)/(-102) + 6). Determine h, given that 248/3*h - 7688/3 - s*h**2 = 0.
62
Suppose 523 + 256 = 32*y + 9*y. Let a(u) be the second derivative of -1/110*u**5 - 4/33*u**3 - 2/33*u**4 + 0*u**2 - y*u + 0. Suppose a(z) = 0. Calculate z.
-2, 0
Let r(o) be the first derivative of o**7/280 + o**6/40 - o**4/2 + 23*o**3/3 - 103. Let i(p) be the third derivative of r(p). What is z in i(z) = 0?
-2, 1
Suppose -5*z + x + 93 = 0, -3*z - 8*x = -5*x - 63. Factor 24*p**2 + 88 + 9*p - z*p**2 - 181*p + 4*p**3 + 75*p**2.
4*(p - 1)**2*(p + 22)
Let -10/3*m**2 + 1/3*m**4 + 8/3*m + 3 - 8/3*m**3 = 0. Calculate m.
-1, 1, 9
Suppose w = -5*t - 11, 3*w - 24 + 36 = -21. Factor 0*o**3 - 2/5*o + 1/5*o**4 + t - 3/5*o**2.
o*(o - 2)*(o + 1)**2/5
Let n(p) be the second derivative of -p**5/70 - 5*p**4/21 - 3*p**3/7 + 659*p + 2. What is z in n(z) = 0?
-9, -1, 0
Let b(a) be the first derivative of a**3/3 - 84*a**2 - 169*a - 3021. Solve b(v) = 0 for v.
-1, 169
Let d = 61503 - 61500. Factor 31/4*z + 14*z**2 - 4*z**d + 1.
-(z - 4)*(4*z + 1)**2/4
Let n = 377 + -479. Let b be 0 + 26/12 + 17/n. Solve 16/9 - 22/3*h**b + 14/9*h**3 + 4*h = 0 for h.
-2/7, 1, 4
Let f(m) be the third derivative of -m**6/180 - 2*m**5/15 - 5*m**4/9 - 150*m**2 + 4. Factor f(w).
-2*w*(w + 2)*(w + 10)/3
Let q be (-66)/(-22) - ((-6)/3 + 0). Suppose -4*l - 3*j = -l + 3, q = 