, -2/5, 0
Let l = -22442 + 157112/7. Factor l - 15/7*p - 3/7*p**2.
-3*(p - 1)*(p + 6)/7
Let k be (-3)/5 - (-454)/840. Let q = 529/420 + k. What is d in -q*d**2 - 2/5 + 2/5*d**3 + 6/5*d = 0?
1
Suppose 139/5*h - 36 + 42/5*h**2 - 1/5*h**3 = 0. What is h?
-4, 1, 45
Let w be 8*2 - (24 + 3 + -14). Let r(f) be the third derivative of 28/27*f**w - 1/6*f**4 - 2 + 1/135*f**5 + 0*f + 7*f**2. Find z, given that r(z) = 0.
2, 7
What is h in 18 + 33/4*h**3 + 3/8*h**4 - 147/8*h**2 - 33/4*h = 0?
-24, -1, 1, 2
Let a be (-2)/1 + (-4 - -52). Let v = 46 - a. Factor -7*q**2 - 30 - 5*q**2 + v*q**2 - 39*q + 21.
-3*(q + 3)*(4*q + 1)
Find t such that -26/9*t**2 - 28/9*t**5 - 22/9*t**3 + 10/9*t + 62/9*t**4 + 4/9 = 0.
-1/2, -2/7, 1
Let j = 53 + -28. Suppose 30*k - j*k - 10 = 0. Solve 26 - 2*z**3 - 28 + 2*z + 2*z**k + 0*z**3 = 0 for z.
-1, 1
Let r = -384/13 + 47974/1625. Let n = 236/875 - r. Let 3/7*s - 1/7*s**5 + 1/7 - 2/7*s**3 + n*s**2 - 3/7*s**4 = 0. What is s?
-1, 1
Let r(z) = -z**2 + 617*z + 208. Let d(y) = y**2 - 928*y - 313. Let x(o) = 5*d(o) + 8*r(o). Suppose x(f) = 0. What is f?
-1/3, 99
Let g(l) = -15612*l - 46820. Let r be g(-3). Factor -462*w**3 + 121/2*w**4 + 0 - r*w - 174*w**2.
w*(w - 8)*(11*w + 2)**2/2
Let z = -36/41 - -488/369. Factor -4/9*v + 0 + z*v**4 - 4/9*v**2 + 4/9*v**3.
4*v*(v - 1)*(v + 1)**2/9
Let 70*x**2 + 45 + 2277*x**3 - 20*x - 48*x**2 - 2627*x**3 + 230*x + 73*x**2 = 0. Calculate x.
-3/7, -3/10, 1
Let j be -3 + ((-3 - -2)*1 - -2). Let y be 0 - (9/63)/(j/4). Factor 0 + 0*r + 0*r**2 - y*r**4 + 2/7*r**3.
-2*r**3*(r - 1)/7
Let z be 5 + 2 + 7*1187/1729. Let t = z + -148/13. Suppose 0*m**2 + 0*m + 0 + t*m**4 - 6/19*m**3 - 2/19*m**5 = 0. Calculate m.
0, 1, 3
Find v, given that 64/7*v - 2/7*v**2 - 174/7 = 0.
3, 29
Let n(q) = -2*q**2 - 23*q + 36. Let g(l) be the first derivative of l**3/3 + 7*l**2/2 - 12*l - 107. Let v(d) = -11*g(d) - 4*n(d). Find h such that v(h) = 0.
1, 4
Let b(w) be the second derivative of w**4/4 - 5*w**3/2 + w + 833. Suppose b(a) = 0. What is a?
0, 5
Factor 1/3*h**2 - 208/3*h + 0.
h*(h - 208)/3
Let j(h) = 73*h - 87. Let p(s) = 217*s - 266. Let z(n) = 7*j(n) - 2*p(n). Let f be z(1). Let -1/2*v + 1/4*v**2 + f + 1/4*v**3 = 0. What is v?
-2, 0, 1
Let a(y) be the second derivative of -y**6/60 + 13*y**5/40 + 2*y**4 + y**3/3 - 16*y**2 - 3*y + 343. Let a(c) = 0. What is c?
-2, 1, 16
Factor 54*g**3 - g**4 - 263*g - 37*g**2 - 26*g**2 + 65*g + 84*g + 4*g**4.
3*g*(g - 2)*(g + 1)*(g + 19)
Suppose 4*t - 20 = -5*h, 5*h - 221 = 5*t - 201. Let n(u) be the second derivative of 1/48*u**h + 0*u**3 + 0 - 2*u + 0*u**2. Factor n(o).
o**2/4
Determine h so that -152*h**2 - 103*h + 399*h - 108*h**3 + 303*h**3 - 193*h**3 = 0.
0, 2, 74
Let j(r) be the third derivative of -r**7/525 - 11*r**6/300 + 12*r**5/25 + 37*r**4/3 - 160*r**3/3 - 8*r**2 - 2*r - 239. Solve j(s) = 0.
-10, 1, 8
Let q(a) be the second derivative of -3/20*a**5 - 7/2*a**4 - 62*a + 192*a**2 + 0 - 16*a**3. Let q(s) = 0. What is s?
-8, 2
Determine u so that 32*u**2 + 41*u - 2*u**4 + 2*u**4 - 24*u**3 - 29 - 7 + 4*u**4 - 17*u = 0.
-1, 1, 3
Suppose -103*l + 684 - 66 = 0. Let m(x) be the third derivative of 26*x**2 + 1/60*x**l + 0*x**5 + 0*x + 0*x**4 + 0 + 4/105*x**7 + 0*x**3. Factor m(r).
2*r**3*(4*r + 1)
Let o(j) be the third derivative of j**7/315 + j**6/5 + 97*j**5/45 - 203*j**4/3 + 245*j**3 - j**2 - 214. Solve o(v) = 0.
-21, 1, 5
Let h be ((-27)/(-6)*-8)/(4 + -6). Let c be (-15)/25 + h/5. Factor -2/11*l**4 - 2/11*l - 6/11*l**2 - 6/11*l**c + 0.
-2*l*(l + 1)**3/11
Factor 263157*q**2 + 311246*q + q**4 + 459751*q + 396*q**3 + 269399*q + 1036324 + 626*q**3.
(q + 2)**2*(q + 509)**2
Let c(p) be the first derivative of -p**5/5 + 104*p**4 - 19182*p**3 + 1313828*p**2 + 2685619*p - 1235. Factor c(n).
-(n - 139)**3*(n + 1)
Let y be ((-3)/4)/(175/40 - 4). Let b be 48/(-27)*(y + -2 + 1). Let 1/3*m**4 + 0*m + 0 - 8/3*m**3 + b*m**2 = 0. What is m?
0, 4
Let t(s) = 11*s + 163. Let k be t(-11). Let u(m) = -3*m + 128. Let h be u(k). Suppose 0 - 4/11*r - 2/11*r**3 + 6/11*r**h = 0. Calculate r.
0, 1, 2
Let s = -386 + 1160. Let 569 + 1224 + 184*w - s + 4*w**2 + 1097 = 0. What is w?
-23
Let q(f) = -f**3 - 101*f**2 - 102*f + 4. Let j(h) = 99*h**2 + 102*h - 6. Let m(g) = 2*j(g) + 3*q(g). Find c, given that m(c) = 0.
-34, -1, 0
Factor -947*h**2 - 114*h**3 - 569*h**2 + 360*h**4 - 31*h + 362*h**3 + 55*h - 108*h**4.
4*h*(h - 2)*(h + 3)*(63*h - 1)
Suppose -3*j - 3*f + 30 = 0, 5*f - 2 - 18 = j. Determine z so that 17*z**4 - 72*z**3 - 50*z + 15*z**4 + 18*z + 20*z**j - 112*z**2 - 4*z**4 = 0.
-2, -1, -2/5, 0, 2
Let g be 0/((126/(-49))/(-3) + 56/49). Let -3*p**3 + 3/4*p**4 + 0 + g*p + 3*p**2 = 0. What is p?
0, 2
Let p(q) = -q**2 - 33*q - 55. Let k be p(-26). Let 784 - 37*f**2 - k*f + 239*f + 41*f**2 = 0. What is f?
-14
Let p be (-3638)/(-952) - 95/133*(-7)/(-4). Factor -10/7*y**3 - p*y**2 - 2/7*y**4 - 2*y - 4/7.
-2*(y + 1)**3*(y + 2)/7
Find g such that -171*g - 300 + 183*g**3 - 24*g**4 + 330 + 78*g**2 - 84*g**4 - 27*g**3 + 15*g**5 = 0.
-1, 1/5, 1, 2, 5
Solve 5/3*t**4 + 0 - 60*t + 60*t**2 - 55/3*t**3 = 0.
0, 2, 3, 6
Suppose -3*i = 9, -54*w + 3*i - 36 = -59*w. Let q(p) be the second derivative of -1/3*p**4 - w*p + 0 + 12*p**2 + 2/3*p**3. What is r in q(r) = 0?
-2, 3
Let t(b) be the third derivative of -35*b**8/48 - b**7/4 + b**6/2 + b**5/3 + 34*b**3/3 + 84*b**2. Let a(j) be the first derivative of t(j). Factor a(u).
-5*u*(5*u - 2)*(7*u + 2)**2
Let b(w) be the first derivative of 127/4*w**4 + 196*w + 1/6*w**6 + 361/3*w**3 + 236 + 19/5*w**5 + 224*w**2. Let b(z) = 0. Calculate z.
-7, -2, -1
Let q be 18 - 5474/340 - 2/(-20). Factor -5/2*b + 9/4*b**q + 1 - 7/8*b**3 + 1/8*b**4.
(b - 2)**3*(b - 1)/8
Let 88*d - 38*d - 4*d**2 + 3*d**2 - 37*d - 26*d = 0. Calculate d.
-13, 0
Let s = -145 + 147. Let t be s/(-45) - (-28)/(-441)*-7. Let -t*z**4 + 2/5*z**5 - 6/5*z**3 - 4/5*z + 0 + 2*z**2 = 0. What is z?
-2, 0, 1
Let d(p) be the third derivative of -p**5/80 - 31*p**4/16 - 15*p**3 + 441*p**2 - p. Factor d(y).
-3*(y + 2)*(y + 60)/4
What is d in -d**3 - 2445*d**2 + 4*d**3 + 463344*d + 460992 + 4800*d**2 = 0?
-392, -1
Let n(i) be the first derivative of -6/7*i**3 - 54/7*i**2 - 54 + 3/7*i**4 - 81/7*i + 3/35*i**5. Factor n(c).
3*(c - 3)*(c + 1)*(c + 3)**2/7
Let h(c) = 41*c + 404 + 252 - 78. Let y be h(-14). Factor 66/13*l + 18/13*l**y + 60/13*l**3 + 18/13 + 2/13*l**5 + 92/13*l**2.
2*(l + 1)**3*(l + 3)**2/13
Factor -39*k**2 - 191*k**2 - 25*k - 57*k**5 + 52*k**5 - 150*k**3 - 45*k**4 - 45 - 140*k.
-5*(k + 1)**3*(k + 3)**2
Let y = -1756103453/1845 + 951816. Let k = -7/205 - y. Determine q, given that -16/9 + 40/9*q - 4*q**2 - 2/9*q**4 + k*q**3 = 0.
1, 2
Factor -2*o**3 - 41/8*o - 51/8*o**2 - 3/4.
-(o + 1)*(o + 2)*(16*o + 3)/8
Let u(p) = 27*p + 111. Let y be u(-4). Factor 9874*i**2 - 9874*i**2 + 8*i**y - 2*i**4.
-2*i**3*(i - 4)
Let i(v) be the second derivative of v**5/70 + 5*v**4/21 + 11*v**3/21 - 10*v**2 - 159*v. Factor i(u).
2*(u - 2)*(u + 5)*(u + 7)/7
Let f(b) = b**3 + 8*b**2 - 13*b - 34. Let r be f(-9). Let -15*a**5 - 46*a**3 + 46*a**4 - 25*a + 12*a + 12*a**2 + 9*a - r + 9*a = 0. Calculate a.
-1/3, 2/5, 1
Let l(m) = -m**4 - 3*m**3 - m + 5. Let a(b) = 5*b**4 + 87*b**3 - 915*b**2 + 1633*b - 810. Let i(g) = -a(g) - 6*l(g). Suppose i(p) = 0. What is p?
1, 15, 52
Let b(j) be the third derivative of -j**5/420 + 671*j**4/168 + 16*j**3 + 1717*j**2. Suppose b(q) = 0. Calculate q.
-1, 672
Let g(h) = -h**3 - 13*h**2 - 40*h - 19. Let d be g(-10). Solve -93 - 71 + 488*o - d*o**2 + 93*o**2 = 0 for o.
-41, 1/3
Let v(j) be the third derivative of -6*j**5/5 + 1009*j**4/8 - 21*j**3 + 7035*j**2. What is b in v(b) = 0?
1/24, 42
Let j(f) be the first derivative of -8*f**5/25 - 51*f**4/20 - 106*f**3/15 - 81*f**2/10 - 18*f/5 - 2484. Suppose j(m) = 0. What is m?
-3, -2, -1, -3/8
Find k such that 300/7*k**2 - 296/7*k - 104/7*k**3 + 14 + 2/7*k**4 = 0.
1, 49
Let s be 28/112 + 3/((-24)/1322). Let v be ((-209)/s - 1)/((-4)/(-66)). Find l such that 4/5 + 56/5*l**4 + 6*l**5 - 12*l**2 - 8/5*l**3 - v*l = 0.
-1, 2/15, 1
Let n(h) = -18*h**2 + 3*h. Let z(o) = -150688*o**2 + 10888*o - 196. Let x(d) = 8*n(d) - z(d). Factor x(b).
4*(194*b - 7)**2
Suppose 1/3*n**5 + 8/3 - 11/3*n**3 + 10/3*n - 7/3*n**2 - 1/3*n**4 = 0. Calculate n.
-2, -1, 1, 4
Let p(h) be the second derivative of 19*h**4/32 +