**2
Let s = -92886 + 92889. Solve -4*m - 92/5*m**s - 124/5*m**2 - 12/5*m**4 + 24/5 = 0.
-6, -1, 1/3
Let j(q) be the first derivative of -5*q**5/4 - 55*q**4/6 - 70*q**3/3 - 20*q**2 + 64*q - 68. Let c(n) be the first derivative of j(n). Factor c(r).
-5*(r + 2)**2*(5*r + 2)
Let w(p) be the first derivative of p**4 - 280*p**3 + 29400*p**2 - 1372000*p + 213. Factor w(q).
4*(q - 70)**3
Let l(s) be the second derivative of -14*s**7 - 273*s**6/10 + 183*s**5/5 + 3*s**4/4 - 9*s**3 - 3*s + 10. Determine w, given that l(w) = 0.
-2, -1/4, 0, 3/7
Let j(a) be the second derivative of a**4/6 + a**3/2 + 3*a**2/2 + 4*a. Let n be j(-1). Determine t, given that -2*t**4 + 17*t + 9*t**n - t**4 - 11*t = 0.
-1, 0, 2
Let k(w) be the third derivative of w**5/15 + 13*w**4/6 - 28*w**3/3 - 595*w**2. Determine q, given that k(q) = 0.
-14, 1
Let w = 449 - -24. Let y = -471 + w. Let 46/7*r**3 - 12/7 - 46/7*r - 2/7*r**2 + y*r**4 = 0. Calculate r.
-3, -1, -2/7, 1
Suppose 167*n = 177*n - 200. Let k be (24/(-4))/((-1)/1). Factor n*f**3 + 9*f + k*f - 25*f**2 - 11*f + f.
5*f*(f - 1)*(4*f - 1)
Let t be (1020/(-57) + 9 - -9)*16. Factor -t*i + 128/19 + 2/19*i**2.
2*(i - 8)**2/19
Let w = -49 + 52. Suppose -3*p + 4*p - 11 = -2*k, 2*k + w*p = 1. Suppose -3*q + 0 - 6 - 5*q**2 + k*q**2 = 0. Calculate q.
-1, 2
Let o(d) = 11*d**3 + 294*d**2 - 8385*d + 49598. Let x(m) = 32*m**3 + 883*m**2 - 25160*m + 148796. Let v(y) = -17*o(y) + 6*x(y). Factor v(i).
5*(i - 11)**2*(i + 82)
Let u = 1078007 + -1078004. Factor -2/7 - 6/7*x + 6/7*x**4 + 4/7*x**u + 2/7*x**5 - 4/7*x**2.
2*(x - 1)*(x + 1)**4/7
Let a be (-1 - 0) + (15/3 - 0). Factor 296*i**4 + 3*i**3 - 2*i - 2*i - 295*i**a.
i*(i - 1)*(i + 2)**2
Let x(l) = -18*l**3 + 144*l**2 - 155*l + 48. Let o(b) = 4*b**2 - b. Let t(g) = 6*o(g) - 2*x(g). Factor t(i).
4*(i - 6)*(3*i - 2)**2
Let r(s) be the first derivative of -2/5*s + 19 + 1/10*s**4 + 16/25*s**5 - 14/15*s**3 + 4/15*s**6 - s**2. Find c, given that r(c) = 0.
-1, -1/2, 1
Let h be (-1078)/(-245) - (1 + (-3)/(-1)). Let x = 412/1105 - -6/221. Suppose x*c**2 - 12/5 + h*c = 0. What is c?
-3, 2
Let c(j) = -4*j**4 + 30*j**2 + 48*j + 16. Let s(i) = 17*i**4 + i**3 - 120*i**2 - 193*i - 62. Let p(f) = 9*c(f) + 2*s(f). What is t in p(t) = 0?
-2, -1, 5
Let b(d) be the first derivative of 4*d**3/9 + 1880*d**2/3 + 883600*d/3 - 7372. Factor b(p).
4*(p + 470)**2/3
Solve -2/3*q**5 - 44*q**2 + 30*q + 4/3*q**4 + 40/3*q**3 + 0 = 0.
-5, 0, 1, 3
Let g be (7/42)/(-1) - 181/(-6). Suppose 0 = -g*d + 32*d - 66. Solve 14 + 40*u - 15 - d - 5*u**2 - 1 = 0.
1, 7
Suppose -56/9 - 266/9*f**2 + 2/9*f**5 + 200/9*f - 38/9*f**4 + 158/9*f**3 = 0. Calculate f.
1, 2, 14
Let b be (-15)/(-24) - 323161/(-39256). What is q in b*q**4 + 264/7*q**2 + 16/7*q + 36*q**3 + 0 = 0?
-2, -2/31, 0
Let u be 18/(4 + (-8)/4). Suppose -u*o + 45 = -4*o. Solve -3*z**2 - o*z + 253 - 253 = 0.
-3, 0
Suppose 135 = 284*q - 717. What is i in 1/4*i**4 + 9/4*i**q - 5/2*i**2 + 0*i + 0 = 0?
-10, 0, 1
Let z(i) be the third derivative of i**6/48 + 5*i**5/2 - 205*i**4/16 + 155*i**3/6 - 5*i**2 + 2*i + 41. Factor z(c).
5*(c - 1)**2*(c + 62)/2
Let p(y) be the second derivative of -y**6/30 - 2*y**5/5 + 43*y**4/12 - 29*y**3/3 + 12*y**2 - 1247*y. Solve p(j) = 0 for j.
-12, 1, 2
Let x(m) be the second derivative of -m**5/5 + 11*m**4/10 - 4*m**3/5 - 28*m**2/5 + 1964*m. Factor x(b).
-2*(b - 2)**2*(10*b + 7)/5
What is d in -98*d - 325*d - 2*d**2 - 1369*d - 36949 - 364459 = 0?
-448
Let t(c) be the second derivative of 31*c**4/3 - 125*c**3/3 + 2*c**2 + 1434*c. Factor t(q).
2*(q - 2)*(62*q - 1)
Suppose 0 = -0*w + 3*w - 48. Suppose -5903*j = -5911*j + 16. Determine q, given that -6*q**j + 6*q**2 - 4*q**2 + 2*q**3 - w*q = 0.
-2, 0, 4
Let h(p) be the second derivative of p**5/4 + 15*p**4 + 175*p**3/6 - 1201*p. Factor h(w).
5*w*(w + 1)*(w + 35)
Let u be -2 - ((-40)/19)/1. Let z be (39759/(-251807))/(1/((-16)/6)). Find s such that z*s - u*s**2 - 6/19 = 0.
1, 3
Find v such that 12*v**2 + 576 - 1/3*v**3 + 180*v = 0.
-6, 48
Let b(q) be the third derivative of q**8/336 + 4*q**7/35 + 17*q**6/20 + 34*q**5/15 + 19*q**4/8 - 125*q**2. Factor b(s).
s*(s + 1)**2*(s + 3)*(s + 19)
Suppose 170*v = 172*v - 18. Solve 3*z**3 - 27 + 79*z - 30*z**2 - 148*z - v = 0 for z.
-1, 12
Suppose 41 - 10 = t. Suppose h - 5*l = -2*h + t, -15 = -5*h + l. Factor -n**2 - h*n**2 - 2*n - 2*n**3 + 7*n**2.
-2*n*(n - 1)**2
Let u(c) = -16*c**2 + 17*c**2 + 36 - 12 + 6*c**2 - 140*c. Let s be u(20). Solve -3 - s*o**5 - 57*o**2 + 60*o**4 - 3/2*o**3 + 51/2*o = 0.
-1, 1/4, 1, 2
Let o(t) be the second derivative of t**6/2880 - t**4/48 + 13*t**3 - 3*t + 1. Let r(f) be the second derivative of o(f). Factor r(h).
(h - 2)*(h + 2)/8
Let f(l) = 4*l**2 - 484*l + 116. Let m(v) = -v**2 + 146*v - 39. Let j(b) = 3*f(b) + 10*m(b). Suppose j(r) = 0. What is r?
-7, 3
Let i be 23*7614/126684 - 4/(-34). Factor -24*g - 36 + 9/4*g**2 + i*g**3.
3*(g - 4)*(g + 4)*(2*g + 3)/4
Let a(c) = -262*c + 7. Let b be a(7). Let k = b + 1831. Suppose -2*w + 0 + 19/2*w**3 - 7/2*w**k - 4*w**2 = 0. What is w?
-2/7, 0, 1, 2
Suppose -210 = -4*j - j. Suppose -6 = 40*h - j*h. Factor -20*u**2 + 1 - 4*u**h - 22*u + 3 + 10*u + 32*u**2.
-4*(u - 1)**3
Let h(l) be the third derivative of l**5/80 - 21*l**4/4 + 304*l**2. Suppose h(z) = 0. Calculate z.
0, 168
Let y(p) be the third derivative of p**8/420 - 103*p**7/525 + 233*p**6/50 - 71*p**5/6 - 125*p**4/6 + 1213*p**2. Let y(w) = 0. Calculate w.
-1/2, 0, 2, 25
Let c(z) = z**2 - 12*z + 23. Let t be 4/(-14)*(133 - 140). Let b be c(t). Let 4/21*r**4 - 2/7*r**5 - 2/7*r + 4/7*r**b + 4/21 - 8/21*r**2 = 0. What is r?
-1, 2/3, 1
Let a = 55 + -50. Determine s, given that -40*s - 68*s**2 - 87*s**4 + 16 + 98*s**3 + 12*s**5 + 247*s**4 - 12*s**a + 50*s**5 = 0.
-2, -1, 2/5
Suppose 167*w + 0 + 1/2*w**2 = 0. What is w?
-334, 0
Let z(n) be the second derivative of -n**6/15 - 9*n**5 - 44*n**4/3 + 30*n**3 + 89*n**2 - 300*n - 2. Factor z(c).
-2*(c - 1)*(c + 1)**2*(c + 89)
Let u(z) = -2*z**4 + 203*z**3 - 9996*z**2 - 20605*z - 10405. Let q(b) = b**4 - b**3 - b**2 + b + 1. Let y(h) = 5*q(h) + 5*u(h). Let y(o) = 0. What is o?
-1, 102
Let k(a) be the third derivative of -1/45*a**5 + 65 + 0*a - a**2 - 1/12*a**4 + 1/540*a**6 + 14/27*a**3. Determine t so that k(t) = 0.
-2, 1, 7
Let r(l) be the first derivative of -4*l**5/15 + 37*l**4/3 - 1369*l**3/9 + 7062. Factor r(d).
-d**2*(2*d - 37)**2/3
Let t(j) be the third derivative of -j**7/42 - 5*j**6/3 - 3*j**5/2 + 180*j**4 + 2925*j**3/2 - 6400*j**2 - 2*j. Factor t(z).
-5*(z - 5)*(z + 3)**2*(z + 39)
Suppose -1/5*o**5 + 0 + 0*o + 0*o**2 + 29/5*o**3 - 28/5*o**4 = 0. What is o?
-29, 0, 1
Let x(c) be the second derivative of -c**5/450 + c**4/30 + 7*c**3/45 - 13*c**2 + 79*c. Let v(y) be the first derivative of x(y). What is l in v(l) = 0?
-1, 7
Let j be 19804/1020 - (-14)/119 - 3. Let l = -1646/105 + j. Factor l*c - 6/7*c**3 + 3/7*c**4 - 3/7 + 0*c**2.
3*(c - 1)**3*(c + 1)/7
Let p(w) be the third derivative of w**2 + 0*w**3 + 1/4*w**4 - 1/224*w**8 - 3/80*w**6 - 1/35*w**7 + 74 + 0*w + 1/10*w**5. Let p(a) = 0. What is a?
-2, -1, 0, 1
Let l(t) = -5*t**4 + 57*t**3 + 722*t**2 + 1512*t - 2310. Let o(f) = -f**4 + f**3 + f**2 - 4*f - 1. Let n(q) = l(q) - 6*o(q). Factor n(s).
(s - 1)*(s + 4)*(s + 24)**2
Let u = 7683/74 - -62/37. Let v = u - 631/6. Solve -4/3*c**4 + 2/3 + 2/3*c**2 - 4/3*c**3 - v*c**5 + 5/3*c = 0.
-2, -1, 1
Let n(v) be the first derivative of -v**5/55 - 5*v**4/44 + 7*v**3/33 + 5*v**2/22 - 6*v/11 - 2885. Determine c, given that n(c) = 0.
-6, -1, 1
Let x(h) be the second derivative of -h**7/126 + h**6/45 + h**5/4 - 8*h**4/9 + 8*h**3/9 - 14*h + 15. Let x(q) = 0. Calculate q.
-4, 0, 1, 4
Suppose 0 = 593*j - 8487 + 6708. Factor 0 + 0*y + 8/3*y**2 + 2/3*y**5 + 4*y**4 + 6*y**j.
2*y**2*(y + 1)**2*(y + 4)/3
Let i = 6512/15 - 2169/5. Factor -2/3 + i*g**2 + 1/3*g.
(g - 1)*(g + 2)/3
Suppose 5*o - 60 = -0*o. Solve -48 + 88*j**3 + 137*j**2 - 32*j + 115*j**2 + o*j**4 - 160*j**2 = 0.
-6, -1, 2/3
Let 314*i + 5*i**3 - 1540 + 500*i + 542*i + 311*i - 1187*i + 135*i**2 = 0. What is i?
-22, -7, 2
Let g(o) = -5*o**2 - 2280*o + 4531. Let f(r) = 3*r**2 + 1520*r - 3017. Let m(l) = -7*f(l) - 5*g(l). Determine h, given that m(h) = 0.
-192, 2
Suppose -10*m - 324 + 384 = 0. Suppose -m*l**2 - 2*l**2 + 32*l + 36*l + 29 + 7 = 0. Calculate l.
-1/2, 9