 50177*g - 285 - 50219*g + 4*g**2 - g**2.
3*(g - 19)*(g + 5)
Determine x, given that 1044 + 2/3*x**2 + 178*x = 0.
-261, -6
Let n(x) = -67*x**3 - 41*x**2 - 1016*x - 957. Let a(c) = 53*c**3 + 43*c**2 + 1015*c + 957. Let p(o) = -5*a(o) - 4*n(o). Factor p(w).
3*(w - 29)*(w + 1)*(w + 11)
Factor -7340*d + 7330*d - 40*d**3 + 65*d**2 - 15*d**3.
-5*d*(d - 1)*(11*d - 2)
Let d(u) = 136*u**2 - 1090*u + 18. Let c be d(8). What is r in -2/11*r**c - 2/11*r**3 + 8/11 + 8/11*r = 0?
-2, -1, 2
Let o be (-15)/(-600)*16*1. Let l(j) be the first derivative of 26 + 16/5*j + o*j**2 - 16/15*j**3 - 1/5*j**4. Let l(g) = 0. Calculate g.
-4, -1, 1
Find l such that -5*l**3 + 14*l + 41*l + 17*l**2 + 11*l + 55 + 39*l + 28*l**2 = 0.
-1, 11
Let n(u) be the second derivative of -u**6/70 - 11*u**5/105 + 2*u**4/21 + 71*u**2/2 + 88*u. Let b(c) be the first derivative of n(c). Factor b(d).
-4*d*(d + 4)*(3*d - 1)/7
Let t(l) be the second derivative of -1/70*l**5 - 3/7*l**4 + 5*l + 19/21*l**3 + 0*l**2 - 3. Factor t(u).
-2*u*(u - 1)*(u + 19)/7
Let z = -841/2 - -425. Suppose -8*m - 9*m = -204. Determine o, given that 1/2*o**5 - 8*o**2 + 0*o + m*o**3 - z*o**4 + 0 = 0.
0, 1, 4
Suppose 0 = 5*w - b - 15, 3*w + b + 4*b = -19. Let a = -1043 - -1045. Factor -26*f**3 + w*f**2 - f + 13*f**3 + 6*f**4 + 6*f**2 + 0*f**a.
f*(f - 1)**2*(6*f - 1)
Suppose -4*j + 0*j + 28 = 0. Suppose 24 = j*g + g. Factor -6*v**2 - g*v**2 - 5*v + 0*v + 4*v**2.
-5*v*(v + 1)
Let b(q) be the third derivative of -q**7/315 + 31*q**6/180 - 301*q**5/90 + 89*q**4/4 + 126*q**3 + 168*q**2. Let b(c) = 0. What is c?
-1, 9, 14
Factor 243/2 + 121/6*r**2 + 99*r.
(11*r + 27)**2/6
Let i(l) be the first derivative of -2*l**5/5 + 29*l**4 - 112*l**3/3 - 58*l**2 + 114*l - 1700. Solve i(p) = 0.
-1, 1, 57
Let o(p) be the first derivative of -p**6/27 - 4*p**5/15 + 2*p**4/3 + 112*p**3/27 - 32*p**2/3 - 125. Find j, given that o(j) = 0.
-6, -4, 0, 2
Let v(d) = 71*d**3 + 704*d**2 + 643*d + 26. Let g(k) = 71*k**3 + 703*k**2 + 641*k + 27. Let m(h) = 8*g(h) - 9*v(h). Suppose m(b) = 0. Calculate b.
-9, -1, -2/71
Let b be (-14)/(-4)*(-2322)/(-6321). Factor 0*l**2 + 0*l - 3/7*l**3 + b*l**5 - 6/7*l**4 + 0.
3*l**3*(l - 1)*(3*l + 1)/7
Suppose 0 = 230*o + 26*o - 768. Let m = -4 - -6. Let 3*f**4 - 3*f**4 - 2 + f**4 + 5*f - 118*f**m - f**o + 115*f**2 = 0. What is f?
-2, 1
Find q such that 94*q**3 + 20*q + q**5 + 202*q**2 + 43*q**3 + 8*q**4 + q**2 + 70*q + 17*q**4 = 0.
-18, -5, -1, 0
Let 33 + 0 + 24052*h - 12034*h - 11986*h - h**2 = 0. Calculate h.
-1, 33
Factor 857/5 - 1/5*a**2 + 856/5*a.
-(a - 857)*(a + 1)/5
Let r(o) be the third derivative of o**6/40 + o**5/2 - 33*o**4/2 + 108*o**3 - 2*o**2 - 2279*o. Determine f, given that r(f) = 0.
-18, 2, 6
Let h(a) be the first derivative of a**4/7 - 2*a**2/7 + 5693. Suppose h(r) = 0. Calculate r.
-1, 0, 1
Let d(k) be the first derivative of 1/14*k**4 + 50/7*k + 57 - 6/7*k**3 + 15/7*k**2. Factor d(p).
2*(p - 5)**2*(p + 1)/7
Let x(t) be the second derivative of 0 + 1/36*t**4 - 76*t + 2/9*t**3 + 1/2*t**2. Find a such that x(a) = 0.
-3, -1
Let d = 319/1764 + -3/980. Let c(l) be the first derivative of -8 + 1/5*l**2 - d*l**3 + 14/15*l. Find r, given that c(r) = 0.
-1, 7/4
Let g = 70 - 67. Suppose -24 = 3*o - 8*o - 2*k, -4*o - 5*k = -26. Determine q, given that -q**3 - g*q**3 - 5*q**4 - o*q**5 - q**4 - 2*q**4 = 0.
-1, 0
Let s(r) = 102*r**2 - 589*r - 3570. Let v(m) = 39*m**2 - 236*m - 1428. Let p(u) = -5*s(u) + 13*v(u). Suppose p(h) = 0. What is h?
-34, -7
Let g(q) be the third derivative of -1/1848*q**8 + 0 - 1/132*q**6 - 65*q**2 + 0*q**3 + 0*q**5 + 0*q + 0*q**4 - 2/385*q**7. What is w in g(w) = 0?
-5, -1, 0
Let j(d) be the first derivative of 70 - 3*d**2 + 12*d**3 + 0*d + 27/10*d**5 - 87/8*d**4. Find w, given that j(w) = 0.
0, 2/9, 1, 2
Let s(c) = 9*c**2 - 42*c - 6. Let u = -40 - -34. Let q(y) = -20*y**2 + 85*y + 13. Let g(t) = u*q(t) - 13*s(t). Factor g(v).
3*v*(v + 12)
Let o(z) = z**2 + 25*z + 68. Let n be o(-13). Let p be (-3)/2*44/n. Suppose -p*c - 1/8*c**2 - 9/8 = 0. What is c?
-3
Let q = -363 + 335. Let p be (-48)/168 - 78/q. Solve -p*n - 15/4*n**4 + 5*n**3 - 5/2*n**5 + 0 + 15/4*n**2 = 0.
-2, -1, 0, 1/2, 1
Let a(n) be the third derivative of n**7/2520 - n**6/45 + 17*n**4/4 + 10*n**2 + 1. Let y(g) be the second derivative of a(g). Factor y(h).
h*(h - 16)
Let y = -33 + 35. Let x be 1 + y + (-12)/6. Factor 9*z + 12*z**3 - 9*z**3 - 9*z**2 - 4 + x.
3*(z - 1)**3
Let r(o) be the first derivative of -49/6*o**4 + 388/3*o**2 + 112/3*o - 45 + 1316/9*o**3. Solve r(i) = 0.
-2/7, 14
Find d such that -58/3*d**2 + 22/3*d**3 + 50/3*d - 14/3 = 0.
7/11, 1
Let x(k) be the first derivative of -k**6/280 + 3*k**5/140 + k**4/56 - 3*k**3/14 + 7*k**2/2 - 214. Let f(b) be the second derivative of x(b). Factor f(h).
-3*(h - 3)*(h - 1)*(h + 1)/7
Let a(t) be the second derivative of -3/2*t**2 + 3/10*t**5 + 0 - 1/2*t**4 - 97*t + 1/14*t**7 - 3/2*t**3 + 3/10*t**6. Factor a(z).
3*(z - 1)*(z + 1)**4
Let i(p) be the second derivative of p**7/21 - 10*p**6/3 + 218*p**5/5 - 249*p**4 + 729*p**3 - 1080*p**2 + 3*p - 2370. Factor i(c).
2*(c - 40)*(c - 3)**3*(c - 1)
Let a(f) = -31*f**2 - 51*f + 189. Let z(p) = -17*p**2 - 26*p + 94. Suppose 38 = 5*s + 2*y, 17*s + 5*y - 8 = 19*s. Let n(g) = s*a(g) - 11*z(g). Factor n(t).
(t - 10)**2
Suppose -187 + 793 = 131*j + 61 - 110. Factor 5 - j*u**2 + 5/3*u**3 - 5/3*u.
5*(u - 3)*(u - 1)*(u + 1)/3
Suppose 5*h + 4*q - 61 = 0, -3*h + 2*q + 20 + 21 = 0. Let d be (-8)/6 + (8 - h/2). Find j such that 0 - d*j**3 - 1/6*j + 1/3*j**2 = 0.
0, 1
Let n be (7 - -1043) + -13 + 22. Let p = n - 1057. What is a in 0*a + 3/2*a**p + 3/4*a**3 + 0 = 0?
-2, 0
Let k(p) be the second derivative of -2*p**5/25 - 23*p**4/15 + 56*p**3/3 + 680*p**2 + 2630*p. Let k(t) = 0. What is t?
-10, 17/2
Let c(z) be the third derivative of z**6/24 - z**5/4 - 175*z**4/12 + 120*z**3 + 9494*z**2. What is s in c(s) = 0?
-8, 2, 9
Let i(y) be the third derivative of -y**5/240 + 271*y**4/96 - 45*y**3/4 - 27*y**2 + 44*y. Factor i(t).
-(t - 270)*(t - 1)/4
Factor -4*s**3 + 74*s - 2816 - 280*s - 48*s**2 - 60*s**2 - 754*s.
-4*(s + 8)**2*(s + 11)
Let b be (256/14 - 1) + (689 + -89)/(-40). Solve -88/7*d**2 + 772/7*d**3 - 698/7*d**4 + 0 - b*d + 24*d**5 = 0.
-2/21, 0, 1/4, 2
Let a = -859 - -861. Determine m, given that 5*m**5 - 20*m**3 - 32*m**4 + 10*m**a + 32*m**4 + 15*m - 11 + 1 = 0.
-2, -1, 1
Let b = -530 + 1190. Let j = b + -657. Factor 1/2 + 3/2*g**2 - 1/2*g**j - 3/2*g.
-(g - 1)**3/2
Let n = -180 + 207. Suppose 69*i - 22*i - 4*i**2 - n*i - 15 - 9 = 0. Calculate i.
2, 3
Suppose 0 = -14*g + 4308 + 1292. Factor -41*i**4 + 288*i**2 - g*i + 20*i**3 + 32*i**2 + 80 - 39*i**5 - 44*i**4 + 59*i**5.
5*(i - 2)**3*(i + 2)*(4*i - 1)
Let t(k) be the first derivative of 0*k**2 + 44 - 3/4*k**4 + 0*k + 56*k**3. Solve t(o) = 0 for o.
0, 56
Factor 30818672 - 30818888 - 2*r**2 + 5*r**2 - 42*r.
3*(r - 18)*(r + 4)
Let n = -44714 - -89429/2. Find x such that 5*x - 9/2 - n*x**2 = 0.
1, 9
Let y(v) be the third derivative of v**8/84 - 32*v**7/105 + 41*v**6/15 - 32*v**5/3 + 133*v**4/6 - 80*v**3/3 + 23*v**2. Factor y(q).
4*(q - 8)*(q - 5)*(q - 1)**3
Let f(k) be the third derivative of -2*k**7/105 + 46*k**6/15 - 704*k**5/5 - 184*k**4/3 + 16928*k**3/3 - 2461*k**2. Determine u, given that f(u) = 0.
-2, 2, 46
Let z(v) = 3*v - 12 + 5 + 4*v**2 + 4. Let o be z(1). Determine t, given that -16*t**2 + 6*t**3 + 5*t + 19*t**3 - 10*t**4 - o*t**2 = 0.
0, 1/2, 1
Let z be 1/(-40) - 344565/(-1926600). What is t in -12/13*t**3 - 8/13 - 2*t**2 - 24/13*t - z*t**4 = 0?
-2, -1
Let x(t) be the first derivative of t**8/168 + 2*t**7/105 + t**6/60 - 137*t**2/2 + 81. Let n(b) be the second derivative of x(b). What is m in n(m) = 0?
-1, 0
Let i(h) be the first derivative of -h**5/5 - 23*h**4 - 764*h**3 - 4048*h**2 - 7744*h - 5715. What is r in i(r) = 0?
-44, -2
Let d = 303113 - 303113. Let d - 2/3*r**3 + 2/3*r + r**4 - r**2 = 0. What is r?
-1, 0, 2/3, 1
Suppose 2*l = -a + 1, -2*a + 7*a - 17 = 2*l. Suppose 5 = q - a*b, -q + 13 = 4*q - 3*b. Factor -2/9*h**q + 0 - 2/9*h.
-2*h*(h + 1)/9
Let s(c) be the third derivative of 12*c**2 - 2/15*c**3 + 0 + 1/100*c**5 + c - 1/30*c**4 + 1/150*c**6 + 1/1050*c**7. What is l in s(l) = 0?
-2, -1, 1
Let w = 3330/101 - 21088/707. Find u, given that -20/7 - 2/7*u**2 + w*u = 0.
1, 10
Let h(w) = 19*