 4 + 34/5*v**3 - 1/20*v**4 - 3*v. What is w in p(w) = 0?
0, 68
Let c(o) = o**2 - 718*o + 72. Let t(m) = 3*m**2 - 2152*m + 204. Let v(g) = -17*c(g) + 6*t(g). Factor v(h).
h*(h - 706)
Suppose 0 = 4*t + d - 45, -5*d + 55 = t + 2*t. Let m(i) = -i**3 + 11*i**2 - 2*i + 9. Let w be m(t). Solve -4*a**2 + 89 - w - 4*a = 0.
-1, 0
Let j(q) be the first derivative of 14/9*q**3 + 0*q - 2/5*q**5 + 2/3*q**2 + 1/3*q**4 - 43. Let j(o) = 0. Calculate o.
-1, -1/3, 0, 2
Suppose -27 = -4*o - 7. Suppose -u - 3*u + 316 = 2*p, 5*p = -o*u + 405. Factor 0*b**2 - u*b**3 + 76*b**3 + b**2.
-b**2*(b - 1)
Suppose -178*t = -152*t - 104. Let z(u) be the third derivative of 0*u + 1/15*u**5 + 0*u**t - 1/30*u**6 + 6*u**2 + 0 + 0*u**3. Factor z(v).
-4*v**2*(v - 1)
Let k be (-5 - 4) + 15410/(-35). Let x = k - -451. Find o such that 16/7*o**4 - x - 20/7*o - 76/7*o**3 + 92/7*o**2 = 0.
-1/4, 1, 3
Let s(r) = r**2 - 39*r + 260. Let l be s(11). Let j be -21 - -22 - (l/22 + 3). Determine g so that 12/11*g**3 - 16/11*g**2 + 0*g**4 - j*g**5 + 6/11*g + 0 = 0.
-3, 0, 1
Suppose 9/5*t**3 + 1/5*t**4 - 52/5*t**2 + 0*t + 0 = 0. Calculate t.
-13, 0, 4
Let g(k) be the third derivative of 37*k**2 + 1/60*k**5 + 1 - 29/12*k**4 + 0*k + 841/6*k**3. Factor g(d).
(d - 29)**2
Let d(o) = -o**2 + 7*o - 5. Let h be d(4). Let t(j) = 13*j**2 + 55*j + 89. Let u(v) = 103 - 41 - 107 - 27*v - 6*v**2. Let x(b) = h*u(b) + 3*t(b). Factor x(k).
-3*(k + 4)**2
Let p(w) be the second derivative of -w**4/27 + 40*w**3/27 + w - 70. Determine g, given that p(g) = 0.
0, 20
Let i(t) = -t**3 - t**2 + 8*t. Let k(c) = -6*c**3 + 510*c**2 + 1580*c + 1048. Let b(g) = -2*i(g) + k(g). Factor b(x).
-4*(x - 131)*(x + 1)*(x + 2)
Let a(l) be the third derivative of -l**9/22680 + l**7/1260 + l**6/540 + l**4/6 + l**3/6 - 3*l**2 - 2. Let g(j) be the second derivative of a(j). Factor g(m).
-2*m*(m - 2)*(m + 1)**2/3
Suppose -156 = 4*v - 176. Suppose 5*g = -4*z - 3, g - 12 = -v*z - 0. Factor -r**3 - 2*r**z - 691*r**5 + 690*r**5 + 3*r**4 + r**2.
-r**2*(r - 1)**3
Let k = 427 - 217. Let x be (-180)/k*14/(-9). Solve x + 2*y + 2/3*y**2 = 0 for y.
-2, -1
Let v(l) be the third derivative of 1/672*l**8 - 1/4*l**4 + 0 - 1/60*l**5 - 203*l**2 + 11/240*l**6 - 1/70*l**7 + 0*l + 2/3*l**3. Find o, given that v(o) = 0.
-1, 1, 2
Let n(s) be the second derivative of 0 - 14*s - 3/7*s**4 + 1/5*s**5 - 4/105*s**6 + 10/21*s**3 - 2/7*s**2. Factor n(p).
-4*(p - 1)**3*(2*p - 1)/7
Let z(y) = -6*y**3 + 136*y**2 + 182*y + 424. Let j(t) = -5*t**3 + 97*t**2 + 181*t + 423. Let r(b) = -4*j(b) + 3*z(b). Solve r(h) = 0.
-15, -2, 7
Let r(s) be the third derivative of 0*s + 105*s**2 + 0 - 1/120*s**5 - 17/12*s**3 - 3/8*s**4. Factor r(q).
-(q + 1)*(q + 17)/2
Suppose 47 = 3*h + 38. Let 0*d + 5*d**h + 10*d + 192*d**2 - 177*d**2 = 0. What is d?
-2, -1, 0
Let c(k) = 2*k**2 - 20*k + 2. Let i(r) = -5*r**2 + 41*r - 10. Let t(n) = 7*c(n) + 3*i(n). Determine j, given that t(j) = 0.
-16, -1
Let i(a) = -a**2 + 14*a + a**2 + 20 + 35*a**2 + 3*a**2. Let g(q) = 2*q**2 + q + 1. Let c(v) = 36*g(v) - 2*i(v). What is b in c(b) = 0?
1
Let t be ((-3)/16)/((-1029)/(-84) + -13). Factor t*x**4 + 0*x + 0*x**2 + 3/2*x**3 + 0.
x**3*(x + 6)/4
Let t = -928420 - -4642102/5. What is p in 8*p**2 + t*p**5 + 16/5*p + 14/5*p**4 + 36/5*p**3 + 0 = 0?
-2, -1, 0
Let j be -30*(-59)/(-4425) - -1. Factor j*f**2 + 3*f + 0.
3*f*(f + 5)/5
Let f(h) = -11*h**3 + 315*h**2 - 349*h + 89. Let q(k) = -12*k**3 + 336*k**2 - 348*k + 90. Let y(w) = -3*f(w) + 2*q(w). Factor y(l).
3*(l - 29)*(l - 1)*(3*l - 1)
Suppose -4*s - 36 = 3*z, -10*s = -4*z - 15*s - 45. Find f, given that 12/5*f - 3*f**2 + 3/5*f**3 + z = 0.
0, 1, 4
Let i(n) be the first derivative of -n**4 - 280*n**3/3 - 882*n**2 + 4210. Factor i(m).
-4*m*(m + 7)*(m + 63)
Let r(h) be the first derivative of -h**3/15 - 26*h**2/5 - 20*h - 1448. Factor r(n).
-(n + 2)*(n + 50)/5
Let q be (2/(-58)*(-4532)/(-77))/(-6). Let z = q - 1/203. Determine n so that n + n**2 + z + 1/3*n**3 = 0.
-1
Let g(l) be the first derivative of -l**4/4 - 17*l**3 + 19652*l - 7327. Determine n so that g(n) = 0.
-34, 17
Let i(a) be the first derivative of -a**4/12 - 9*a**3/2 - 13*a**2 + 151*a + 19. Let p(t) be the first derivative of i(t). Factor p(q).
-(q + 1)*(q + 26)
Let v(m) be the first derivative of -m**8/560 + m**6/40 + m**5/20 + 53*m**3/3 + 93. Let w(p) be the third derivative of v(p). Factor w(h).
-3*h*(h - 2)*(h + 1)**2
Let y(b) be the second derivative of b**4/4 + 20*b**3 - 126*b**2 + 1040*b. Suppose y(s) = 0. What is s?
-42, 2
Let v(a) be the third derivative of -7 + 0*a + 0*a**3 + 1/48*a**4 - 1/240*a**5 - 11*a**2. Let v(i) = 0. Calculate i.
0, 2
Find p such that -1/2*p**3 + 810 - 72*p - 31/2*p**2 = 0.
-18, 5
Let q = -438228 - -438232. Suppose 26/9*l**2 + 4/9*l**3 - 2/9*l**q + 20/9*l + 0 = 0. What is l?
-2, -1, 0, 5
Let u be (4/((-64)/168))/(-6). Let i = u - 17/28. Factor 0*j**3 - 4/7*j**5 - i*j**4 + 4/7*j + 8/7*j**2 + 0.
-4*j*(j - 1)*(j + 1)**3/7
Determine r so that 2705*r**5 - 5824*r**2 - 150 - 2368*r + 21952*r**4 + 3136*r**3 - 214 - 1312*r**5 + 8211*r**5 + 108 = 0.
-2, -2/7, 4/7
Let s = 508749 - 508749. Let 36/5*y**2 + 3/5*y**3 + 108/5*y + s = 0. Calculate y.
-6, 0
Let m(q) = 11*q**2 - 47*q + 6. Let r(x) = -2*x + 2732 - x**2 + 2*x**2 - 2731. Let v(a) = m(a) - 6*r(a). Find u such that v(u) = 0.
0, 7
Determine i so that -9/2*i**3 - 105*i**2 - 156 + 306*i = 0.
-26, 2/3, 2
Let b be 2*(-3 - -804) - (3 + -1). Find h such that -9*h - b*h**3 - 5*h**2 + 1615*h**3 + h - 7*h + 5*h**4 = 0.
-3, -1, 0, 1
Let b be (2 + -15 + 9)/(-2*(-4)/(-6)). Let r(k) be the first derivative of 3/40*k**5 - 3/16*k**4 + 24 + 0*k + 9/8*k**2 - 5/8*k**b. Let r(p) = 0. Calculate p.
-2, 0, 1, 3
Let p(j) = -j**2 + 15208*j + 4. Let r be p(0). Find d such that -16/3*d**r - 4/3*d**5 + 0*d**3 + 56/3*d**2 + 8 + 68/3*d = 0.
-3, -1, 2
Find s such that 32/7*s**3 - 26/7*s**2 + 36/7 - 33/7*s - 10/7*s**4 + 1/7*s**5 = 0.
-1, 1, 3, 4
Let b(u) = -10*u**3 + 58*u**2 - 70*u + 18. Let x(p) = 2*p**3 - p**2 + p + 1. Let i be 2 + (-12)/(-3) + -8. Let r(c) = i*x(c) + b(c). Solve r(k) = 0 for k.
2/7, 2
Let u(t) = 8*t**3 - 29*t**2 + 91*t - 95. Let l(b) = b**3 - b**2 + 1. Let w(q) = 14*l(q) - 2*u(q). Factor w(x).
-2*(x - 17)*(x - 3)*(x - 2)
Let t(h) be the second derivative of 0*h**2 + 1/9*h**4 + 0 - 102*h + 13/63*h**3 + 1/210*h**5. Determine v, given that t(v) = 0.
-13, -1, 0
Factor 902/9*x + 224/3 + 232/9*x**2 + 2/9*x**3.
2*(x + 1)*(x + 3)*(x + 112)/9
Suppose -44 = -z - 4*u, u = 3 + 2. What is p in 14*p + 0*p**4 + 15*p**2 - z*p - 5*p**4 = 0?
-2, 0, 1
Suppose 9*g - 66 = 3*g. Suppose -9 = -8*c + 5*c + s, -4*c + s = -g. Factor 352*p**c - 353*p**2 - 2*p + 0*p.
-p*(p + 2)
Let r(o) = o**3 - 4*o**2 - 5*o. Let u = 30 + -6. Let l(w) = -10*w + 11*w**3 + u*w + 3*w**2 + 9*w**2 - 13*w**3. Let v(s) = -3*l(s) - 8*r(s). Factor v(b).
-2*b*(b + 1)**2
Suppose 2*x = -w - 678, 0 = -3*x + 14*w - 16*w - 1015. Let a = x - -343. Factor -6/5*r**a + 0*r + 3/5*r**3 + 0.
3*r**2*(r - 2)/5
Let t be 6 + 28/70*5*-2. Let -7*g + 12*g + 21*g**t - 26*g**2 = 0. Calculate g.
0, 1
Let i = -135927 + 135930. Solve 24/19 - 16/19*o - 2/19*o**4 - 22/19*o**2 + 16/19*o**i = 0.
-1, 1, 2, 6
Determine v so that -82/3*v**2 - 86/3*v**4 + 20/3*v + 22/3*v**5 + 0 + 42*v**3 = 0.
0, 10/11, 1
Let k(o) = -o**3 + o**2 - 2. Let x(u) = -9*u - 168. Let n be x(-19). Let b(j) = 3*j**2 + 21*j + 18. Let c(q) = n*k(q) + b(q). Solve c(l) = 0 for l.
-1, 4
Let c be (-2242)/(-11210) + (-20)/(-225)*3/(-8). Factor 1/3*n + 1/6 + c*n**2.
(n + 1)**2/6
Let y(c) be the first derivative of -c**6/1620 + c**5/540 + c**4/54 - 88*c**3/3 + 44. Let o(r) be the third derivative of y(r). Let o(l) = 0. What is l?
-1, 2
Let j(c) be the third derivative of -4*c**2 + 0*c**3 + 7/66*c**4 + 0*c + 23/330*c**5 + 0 + 1/1155*c**7 + 1/66*c**6. Factor j(y).
2*y*(y + 1)*(y + 2)*(y + 7)/11
Let d(u) be the first derivative of 17 - 152*u**2 - 5*u**4 + 192*u + 1/5*u**5 + 131/3*u**3. What is h in d(h) = 0?
1, 3, 8
Let t be (76/(-114))/(-2 - 5/(-3)). Let n(i) be the third derivative of 0*i + 0*i**3 + 0 - 1/24*i**4 - 19*i**t + 1/60*i**5. What is k in n(k) = 0?
0, 1
Determine h, given that 6 - 3/5*h + 3/5*h**3 - 6*h**2 = 0.
-1, 1, 10
Let t be 5/((-420)/(-74)) + (-42)/196. Find g, given that 0*g + t*g**2 - 2/3 = 0.
-1, 1
Determine p, given that 249/2*p**2 + 0 - 69