se -5/3*c + 4/3*c**3 + 2*c**4 - 2*c**2 + 0 + 1/3*c**o = 0. What is c?
-5, -1, 0, 1
Suppose 78*u = 72*u + 72. Factor -13*s**4 + 4*s**4 + 10*s**2 + 6*s**4 - 7*s**3 + 6*s**2 + 4*s**4 - u*s.
s*(s - 3)*(s - 2)**2
Let y(j) = 31*j**2 - 1745*j + 508. Let s be y(56). Let 15*f - 37/4*f**2 + 5/2*f**3 - 1/4*f**s - 9 = 0. What is f?
2, 3
Suppose 4 = -4*a + 92. Let z = -13 + a. Factor 9*i - z*i - i**4 + i**5.
i**4*(i - 1)
Let d be ((-55)/60 + 6/9)/(-1 - 0). Let m(q) be the first derivative of -2*q**2 + 4/3*q**3 - d*q**4 + 0*q + 15. Factor m(a).
-a*(a - 2)**2
Let n be -12 + 32 + 15/((-570)/646). Let -7/5*z**4 - 1/5*z**5 - 6/5*z - 17/5*z**n - 17/5*z**2 + 0 = 0. What is z?
-3, -2, -1, 0
Let z(f) be the first derivative of -2*f**4/7 - 3032*f**3/7 - 4545*f**2/7 - 2272*f/7 - 7604. Factor z(h).
-2*(h + 1136)*(2*h + 1)**2/7
Let s(v) be the third derivative of 4*v**3 - 13*v - 11/12*v**4 + 1/60*v**6 - 1/15*v**5 - v**2 + 0. Suppose s(r) = 0. What is r?
-3, 1, 4
Let w(m) be the third derivative of m**5/240 - 27*m**4/32 - 21*m**3/2 - 1160*m**2. Find l such that w(l) = 0.
-3, 84
Suppose 3*s - 52 = -46. Solve -206*b - s*b**4 + 15*b**2 + 3*b**3 + 203*b - 13*b**4 = 0 for b.
-1, 0, 1/5, 1
Let -3/2*z**3 + 111/2*z**2 + 0*z + 0 = 0. Calculate z.
0, 37
Suppose -4*u + 5*s - 9 = -18, 6*u - 3*s - 27 = 0. Let x(o) be the second derivative of 2/3*o**3 + 0 - 1/15*o**6 + o**2 - u*o - 1/5*o**5 + 0*o**4. Factor x(p).
-2*(p - 1)*(p + 1)**3
Let k(o) = o**3 + 17*o**2 + 15*o - 12. Let p be k(-16). Factor -8*j**p + 3*j**5 + 12*j**4 - 2*j**4.
j**4*(3*j + 2)
Suppose -p + 2*q = -2*q + 20, -5*q - 27 = 2*p. Let j be (-11 - 64/(-6))/(2/p). Find t, given that 2 + 2/3*t**2 + j*t = 0.
-3, -1
Let l(m) be the second derivative of 2*m**7/63 + 26*m**6/45 + 8*m**5/15 - 556*m**4/9 - 1856*m**3/3 - 2688*m**2 - 4548*m. Suppose l(j) = 0. Calculate j.
-6, -4, 7
Let h = 1981532/9 + -220170. Find o such that -26/9*o**3 - h*o**4 + 0 - 32/3*o**2 - 8*o = 0.
-6, -1, 0
Let 1/7*q**3 + 9/7*q**2 + 24/7 + 26/7*q = 0. Calculate q.
-4, -3, -2
Let v(o) be the third derivative of o**8/6720 - o**7/2520 - o**6/360 + 7*o**4/6 - 10*o**2. Let m(p) be the second derivative of v(p). Factor m(z).
z*(z - 2)*(z + 1)
Let q(j) be the first derivative of 416/5*j**5 + 0*j + 14*j**6 - 56/3*j**3 + 233 - 16*j**2 + 77*j**4. Suppose q(o) = 0. Calculate o.
-4, -1, -2/7, 0, 1/3
Let n = 64 + -61. Suppose -2*w**2 - 3*w**5 + 6 + 337*w**3 + n*w**5 - 321*w**3 - 13*w - 3*w**5 - 4*w**4 = 0. What is w?
-3, -1, 2/3, 1
Solve -108*m + 228 + 34 - 50*m**2 - m - 4*m**3 + 32 - 3*m = 0 for m.
-7, 3/2
Let y = -5 - 31. Let t be y/(-126) - 19/(-7). Factor u**3 + u - 7*u + 2*u**3 + t*u.
3*u*(u - 1)*(u + 1)
Let x(u) be the second derivative of 1/12*u**4 + 3/2*u**3 + 7*u**2 - 2*u + 138. Factor x(h).
(h + 2)*(h + 7)
Let z(p) be the second derivative of -p - 1/15*p**5 + 0*p**2 + 0*p**4 + 0*p**3 - 2/45*p**6 - 1/126*p**7 + 110. Let z(f) = 0. What is f?
-2, 0
Let y = 239 + -235. Solve -5*q**4 - 46*q**2 - 16*q - 10*q**5 - 5*q**4 - 4*q**4 + 4*q**y - 42*q**3 + 12*q**5 = 0 for q.
-1, 0, 8
Suppose 0 = -4*w + a + 2*a - 12, 4*a - 16 = 0. Let t(i) be the second derivative of -3*i + 1/50*i**5 - 1/10*i**4 + 0*i**3 + 0*i**2 + w. Let t(k) = 0. What is k?
0, 3
Let w(o) be the third derivative of o**8/112 - 683*o**7/35 + 621073*o**6/40 - 23393142*o**5/5 - 23626728*o**4 - 47409408*o**3 + 3*o**2 - 192. Factor w(j).
3*(j - 456)**3*(j + 1)**2
Suppose 141*g - 542*g = 62*g + 300*g - 10682. Factor -98*p - 2/3*p**3 + 686/3 + g*p**2.
-2*(p - 7)**3/3
Let b(v) be the second derivative of 5*v**7/42 + 67*v**6/6 + 819*v**5/2 + 21805*v**4/3 + 171500*v**3/3 + 7*v - 52. Factor b(r).
5*r*(r + 14)**3*(r + 25)
Let t be (-92 - -89)/(3/(-4)). Let q(f) be the first derivative of 6*f**2 + 16 + 0*f + 3/4*f**t + 5*f**3. Solve q(i) = 0.
-4, -1, 0
Let w(b) = 5*b**5 - 22*b**4 - 6*b**3 + 4*b**2 + b + 2. Let d(l) = -6*l**5 + 27*l**4 + 7*l**3 - 4*l**2 - l - 3. Let s(r) = 4*d(r) + 5*w(r). Factor s(j).
(j - 2)*(j - 1)**2*(j + 1)**2
Let w(d) be the first derivative of -7*d**6/6 + 19*d**5/4 + 85*d**4/6 + 20*d**3/3 + 37*d + 216. Let n(x) be the first derivative of w(x). Factor n(b).
-5*b*(b - 4)*(b + 1)*(7*b + 2)
Suppose 5*a + 2*l = l + 161, 2*l = 5*a - 173. Determine j, given that 704 - 408*j**2 - 44*j + 410*j**2 + a*j - 49*j - 254 = 0.
15
Let m(s) be the second derivative of 67*s - 11/3*s**2 - 1/18*s**4 + 4/3*s**3 + 0. Suppose m(y) = 0. What is y?
1, 11
Let l(c) = -c**3 - 8*c**2 + 7*c + 35. Let r be l(-8). Let a be (96/r - -5)*2. Solve -2/7*z**5 + 6/7*z + 4/7*z**2 - a*z**4 - 4/7*z**3 + 2/7 = 0.
-1, 1
Let d(r) be the first derivative of -r**4 + 312*r**3 - 26418*r**2 - 226576*r + 1827. Factor d(l).
-4*(l - 119)**2*(l + 4)
Let x(j) be the first derivative of j**6/24 - 407*j**5/10 + 170473*j**4/16 - 492043*j**3/3 + 971222*j**2 - 2572816*j - 8237. Factor x(m).
(m - 401)**2*(m - 4)**3/4
Let x(i) be the first derivative of i**5/20 + 59*i**4/16 + 1097*i**3/12 + 5497*i**2/8 - 7935*i/2 + 9527. What is l in x(l) = 0?
-23, -15, 2
Let f(g) be the second derivative of -625/2*g**2 + 1/4*g**5 - 25/4*g**4 - 51*g + 0 + 125/2*g**3. What is w in f(w) = 0?
5
Let y(p) be the second derivative of -p**4/6 + p**3 - 858*p. Factor y(d).
-2*d*(d - 3)
Let i(s) be the second derivative of 0*s**3 - 1/42*s**4 + 17*s + 1 + 0*s**2 + 1/105*s**6 + 0*s**5. Solve i(t) = 0.
-1, 0, 1
Let s be (62 - 57)*(2 - 1). Factor 240*t**3 - 735 + 66*t**2 + 700*t - 300*t**3 + s*t**4 + 24*t**2.
5*(t - 7)**2*(t - 1)*(t + 3)
Suppose 0 = -2*h - 58 + 154. Let m be 36/h*2/3. Factor -m*p**2 + 1 - 1/2*p.
-(p - 1)*(p + 2)/2
Let k(r) = r**3 + 7*r**2 + 9. Suppose -8*d = -0*d + 56. Let h be k(d). Solve -7*z**2 - 1 - h + 5*z + 12*z**2 = 0 for z.
-2, 1
Let b(g) be the third derivative of 60*g**3 + 1/150*g**5 + 0*g + 0 - g**4 - 13*g**2. Factor b(v).
2*(v - 30)**2/5
Let y = 75854/15 - 5056. Let i(l) be the second derivative of -12/5*l**2 + 0*l**4 + 23*l + 0 + 1/25*l**5 - y*l**3. Suppose i(r) = 0. Calculate r.
-2, -1, 3
Let q(r) be the second derivative of r - 2/15*r**3 - 11/25*r**5 + 0*r**2 - 1 - 1/2*r**4. Find n, given that q(n) = 0.
-1/2, -2/11, 0
Let x(o) be the second derivative of o**7/105 - o**6/30 - o**5/6 + o**4/2 + 89*o**2 - 104*o - 2. Let q(w) be the first derivative of x(w). Factor q(z).
2*z*(z - 3)*(z - 1)*(z + 2)
Let n be 15/2*(3328/(-2400))/(-13). Determine i, given that 7/5*i**3 + 1/5*i**5 - 1/5*i**2 + i**4 - n - 8/5*i = 0.
-2, -1, 1
Suppose -2/5*d**5 + 1048576/5*d + 0 - 475136/5*d**2 - 23808/5*d**3 - 76*d**4 = 0. What is d?
-64, 0, 2
Let h = -629673 + 1889023/3. Determine a so that 1/12*a**2 - 5/6*a + h = 0.
2, 8
Let u(w) be the second derivative of w**4/60 - 267*w**3/5 + 641601*w**2/10 + 1983*w. Let u(s) = 0. What is s?
801
Let r(q) be the third derivative of 0*q - 13/36*q**4 + 0 + 4/3*q**3 + 63*q**2 + 1/90*q**5. Suppose r(h) = 0. What is h?
1, 12
Let l = 10 - -2. Suppose 5*t + s - 6 - l = 0, 0 = -3*t - 4*s + 4. Solve t*w - 4 - 9*w + 13 - 16*w + 6*w**2 = 0 for w.
1/2, 3
Let s(i) be the second derivative of 7*i**5/20 + 23*i**4/12 + 4*i**3/3 - 10*i**2 - 175*i - 4. What is x in s(x) = 0?
-2, 5/7
Determine z so that 0 + 14/15*z - 2/15*z**3 + 4/5*z**2 = 0.
-1, 0, 7
Let m(p) be the first derivative of -28*p**5 + 186*p**4 + 1540*p**3/3 + 384*p**2 + 112*p + 1365. Solve m(k) = 0.
-1, -2/5, -2/7, 7
Let y(a) be the second derivative of a**5/10 - 112*a**4/3 + 445*a**3/3 - 222*a**2 + 4179*a. Let y(m) = 0. What is m?
1, 222
Factor 6145*o**3 + 0 + 4*o**2 - 12227*o**3 + 5938*o**3 - 4*o**4 + 0 + 144*o.
-4*o*(o - 1)*(o + 1)*(o + 36)
Let f(j) be the first derivative of -j**3/12 + 473*j**2/8 - 705*j/2 + 5177. Factor f(r).
-(r - 470)*(r - 3)/4
Let l(m) be the second derivative of m**6/45 - 16*m**5/15 - 139*m**4/18 - 178*m**3/9 - 24*m**2 - 972*m - 3. Let l(g) = 0. Calculate g.
-2, -1, 36
Let c be 0*(-4)/(-32)*4. Let x = 126 + -105. Factor -x*d + c + 400*d**5 + 18*d**2 - 24*d**4 - 391*d**5 + 12*d**3 + 6.
3*(d - 1)**3*(d + 1)*(3*d - 2)
Factor -563*m + 28*m**2 + 824*m + 3*m**3 + 14 - 210*m.
(m + 2)*(m + 7)*(3*m + 1)
Let o = 42071/2 - 21035. Factor -5/2*c**3 + o*c**5 + 0*c - 3*c**2 + 0 + c**4.
c**2*(c - 2)*(c + 1)*(c + 3)/2
Let m(z) be the first derivative of -z**6/30 - 11*z**5/15 + z**4/6 + 22*z**3/3 - 153*z**2/2 + 23. Let o(c) be the second derivative of m(c). Factor o(j).
-4*(j - 1)*(j + 1)