Suppose 0 + 30/11*r + 2/11*r**3 + 34/11*r**v - 2/11*r**4 = 0. What is r?
-3, -1, 0, 5
Let k(m) be the second derivative of 3/25*m**5 + 2*m + 0*m**2 + 21 - 1/150*m**6 - 1/105*m**7 - 1/3*m**3 + 1/60*m**4. Let k(f) = 0. What is f?
-5/2, -1, 0, 1, 2
Let a(z) be the second derivative of -z**6/72 + z**5/4 - 25*z**4/24 + 32*z**3/3 - 4*z + 2. Let h(r) be the second derivative of a(r). Factor h(v).
-5*(v - 5)*(v - 1)
Let m(a) be the second derivative of 72*a - 1/12*a**3 + 13/72*a**4 - 3/2*a**2 + 7/120*a**5 + 1/180*a**6 + 0. Determine j, given that m(j) = 0.
-3, -2, 1
Find d such that -474*d**3 + 13*d**4 - 6988*d**2 - 258763*d - 23*d**4 - 11200 + 228043*d = 0.
-20, -7, -2/5
Factor -493045 - 1058089 - 820466 - 4*v**2 + 6160*v.
-4*(v - 770)**2
Factor 245/2*j**3 - 125/4*j**4 + 485/4*j - 121/4 - 365/2*j**2 + 1/4*j**5.
(j - 121)*(j - 1)**4/4
Suppose 130*a + 111 = -4*a + 513. Let m be (-14)/(-12) - -3 - (-1)/(-6). Factor c**m + 0 + 1/3*c**5 + 1/3*c**2 + 0*c + c**a.
c**2*(c + 1)**3/3
Let g(s) be the first derivative of s**6/180 + s**5/30 - 5*s**4/4 + 26*s**3/3 - 106. Let o(m) be the third derivative of g(m). Factor o(d).
2*(d - 3)*(d + 5)
Let c be 2 + -5 - (34/(-14) + (-80)/140). Let f(l) be the third derivative of 0*l - 7/90*l**5 + c - 8/3*l**4 + 28/9*l**3 + 16*l**2. What is u in f(u) = 0?
-14, 2/7
Let x = 333 - 328. Factor 5*r**3 + 0*r**3 - x*r**3 + 2*r**3.
2*r**3
Suppose -14*y + 11*y = 0. Suppose i - 5*u - 12 = y, -4*i - 3 = 3*u - 5. Factor 2*p - 3*p**3 + i*p**3 - p**3.
-2*p*(p - 1)*(p + 1)
Solve 9536/5 + 6676*k + 2*k**3 + 23854/5*k**2 = 0.
-2384, -1, -2/5
Let d(r) be the first derivative of r**4/14 - 2*r**3/3 + 12*r**2/7 + 2459. Determine y, given that d(y) = 0.
0, 3, 4
Let v(k) be the second derivative of k**7/14 - 11*k**6/10 + 57*k**5/20 + 43*k**4/4 - 10*k**3 - 48*k**2 + 39*k - 7. Find i such that v(i) = 0.
-1, 1, 4, 8
Let g = -102654 - -1950428/19. Determine f, given that -2/19*f**4 + g*f + 2/19*f**2 + 0 - 2/19*f**3 = 0.
-1, 0, 1
Let -21/2*r**4 - 190 - 1/2*r**5 - 23/2*r**3 - 48*r + 281/2*r**2 = 0. Calculate r.
-19, -5, -1, 2
Let g(s) be the first derivative of 49*s**6/30 - 301*s**5/25 + 123*s**4/5 - 304*s**3/15 + 32*s**2/5 + 46. Solve g(a) = 0 for a.
0, 4/7, 1, 4
Suppose -7*m - 154 = -1624. Solve -210*x**2 + 2*x**5 + m*x**2 - 2*x**4 = 0.
0, 1
Let r be 40/(-24)*(16/((-6080)/133))/(2/16). Solve -1/3*j**2 + 13/3*j + r = 0.
-1, 14
Find b such that -1/5*b**5 + 17/5*b**4 + 0 + 0*b + 8*b**2 + 58/5*b**3 = 0.
-2, -1, 0, 20
Let f be 336/(-7896) + 572/188. What is u in -53/6*u**2 + 4/3*u**f + 14/3*u + 19/2*u**4 - 6*u**5 - 2/3 = 0?
-1, 1/4, 2/3, 1
Let w(r) be the first derivative of r**5 - 205*r**4/4 + 255*r**3 - 935*r**2/2 + 370*r - 72. Factor w(f).
5*(f - 37)*(f - 2)*(f - 1)**2
Solve -465/7*a**4 + 4824/7*a + 4308/7*a**2 - 9*a**5 + 54/7*a**3 - 1728/7 = 0.
-6, -8/3, -2, 2/7, 3
Let s be (6921/11535)/((-88)/(-210) + (-6)/21 + 0). Find t, given that s + 5/4*t**3 - 7*t**2 + 33/4*t = 0.
-2/5, 3
Let v = -3576 + 75097/21. Let x(c) be the first derivative of v*c**3 - 8 - 1/28*c**4 + 0*c + 1/14*c**2 - 1/35*c**5. Factor x(g).
-g*(g - 1)*(g + 1)**2/7
Suppose 8*c = -62 + 206. Factor -12*i**3 + 2*i**2 - 334*i + 163*i - c*i**2 + 167*i.
-4*i*(i + 1)*(3*i + 1)
Let v = 6030137/4690112 + 1/670016. Let -v + 37/7*f - 31/7*f**2 + 3/7*f**3 = 0. What is f?
1/3, 1, 9
Let j(i) be the third derivative of -i**6/10 - 191*i**5/30 - 376*i**4/3 + 256*i**3/3 + 970*i**2 - i. Suppose j(d) = 0. Calculate d.
-16, 1/6
Let l(q) = -97*q**2 - 7571*q - 378. Let c be l(-78). Factor c - 47/2*a - a**2.
-(a + 24)*(2*a - 1)/2
Factor 28/3*d - 2/9*d**3 - 22/9*d**2 + 0.
-2*d*(d - 3)*(d + 14)/9
Suppose 117*x - 61 = 200*x + 312*x - 851. Factor -3/2*q**x + q + 0.
-q*(3*q - 2)/2
Let s be (-10)/(-35)*(6 + 85)/(-13) + 4. Factor -z - 1/6 - 3/2*z**s.
-(3*z + 1)**2/6
Let g(p) = -7*p**3 - p**2 + 7*p - 3. Let z(u) = u. Let f(w) = g(w) - 5*z(w). Let q be f(-2). Factor q - 21 + 3*h**2 - 36.
3*(h - 2)*(h + 2)
Let u be 9/((-1638)/(-169))*14. Let x(b) be the second derivative of u*b - 5/6*b**3 + 0 - 5*b**2 + 5/12*b**4. Factor x(q).
5*(q - 2)*(q + 1)
Let v(t) be the first derivative of t**7/720 - 19*t**6/1080 + 19*t**5/240 - t**4/8 + 8*t**3 + 98. Let x(s) be the third derivative of v(s). Factor x(j).
(j - 3)*(j - 2)*(7*j - 3)/6
Let a(h) be the second derivative of h**8/5600 + h**7/630 + h**6/200 + h**5/150 - 4*h**4 - 19*h. Let y(z) be the third derivative of a(z). Factor y(s).
2*(s + 1)*(s + 2)*(3*s + 1)/5
Let h(a) be the first derivative of 10*a**6/3 - 40*a**5 + 585*a**4/4 - 135*a**3 - 1188. Factor h(w).
5*w**2*(w - 1)*(2*w - 9)**2
Factor 504*h + 787*h + 1715 + 3*h**3 + 2140*h + 1717*h**2 - 2*h**3.
(h + 1)**2*(h + 1715)
Let v(o) = o**2 + o. Let u(h) = -3*h**2 + 2*h - 4. Suppose 5*j + 8*r = -46 - 4, 2*r = -10. Let b = -3 + 2. Let x(g) = b*u(g) + j*v(g). Factor x(d).
(d - 2)**2
Let t(u) = -u**2 - 9*u - 12. Let f be t(-7). Factor -6*k**4 + 150*k + 27*k**2 - 66*k**3 + 3*k**4 + 102*k**3 - 162*k**f.
-3*k*(k - 5)**2*(k - 2)
Let k(p) = p**3 - 8*p**2 + 19*p - 3. Let s be k(7). Let v be -3*1*(-9)/(s/6). Factor -36*i**2 + 17 + 77*i + 103*i + 414*i**v + 147*i**3 + 7.
3*(i + 2)*(7*i + 2)**2
Let k(y) = y**3 + 2*y**2 - 4*y. Let q be -6*12/18 - -4. Let t be k(q). Factor 0 + 2/13*l**3 + 0*l + t*l**2 + 2/13*l**4.
2*l**3*(l + 1)/13
Suppose -3*k = -4*n + 44, -207 + 185 = 4*k - 2*n. What is s in k + 1/7*s**3 + 0*s**2 - 1/7*s = 0?
-1, 0, 1
Let k(d) = -d - 1. Let j(u) = -2*u**2 - 74*u - 72. Let b = -365 + 361. Let x(i) = b*k(i) - j(i). Factor x(p).
2*(p + 1)*(p + 38)
Suppose 66/5*p**3 - 24/5*p**5 - 48/5*p**2 + 0 - 2/5*p**4 + 8/5*p = 0. What is p?
-2, 0, 1/4, 2/3, 1
Determine j so that -2595/2*j**2 - 5/2*j**4 + 5680*j - 4480 + 100*j**3 = 0.
1, 7, 16
Let c(r) be the first derivative of r**6/2 + 6411*r**5/5 + 4575297*r**4/4 + 365500215*r**3 + 2165651964*r**2 + 4313105172*r + 5021. Solve c(n) = 0 for n.
-711, -2
Let k be ((-44)/40 - -3) + (144/20)/(-18). Let t(v) be the first derivative of -1/2*v + 7/8*v**4 - 1/5*v**5 - 21 - k*v**3 + 5/4*v**2. Find a such that t(a) = 0.
1/2, 1
Let v be 20/40 + (-5)/(-2). Suppose -v*p = -w - 0*p + 77, 2*p = -10. Solve 82*q + 52*q - w*q + 324 + 4*q**2 = 0 for q.
-9
Let s(c) be the second derivative of c**6/60 - c**5/6 + 2*c**4/3 - 4*c**3/3 + 101*c**2/2 - 39*c. Let r(n) be the first derivative of s(n). Factor r(h).
2*(h - 2)**2*(h - 1)
Let i(j) be the first derivative of 0*j**3 + 5/24*j**4 + 12*j**2 + 1/6*j**5 + 0*j + 2 + 1/24*j**6. Let g(z) be the second derivative of i(z). Factor g(v).
5*v*(v + 1)**2
Let v be (-1)/15*-3 - 266/(-70). Let q be (-7)/v*150/(-1575). What is d in -1/3*d + 0 + 1/6*d**4 - 1/6*d**2 - q*d**5 + 1/2*d**3 = 0?
-1, 0, 1, 2
Let z(j) = j**2 + 6*j - 1. Let f(g) = 8*g**2 - 127*g - 313. Let p(q) = f(q) - 3*z(q). Factor p(h).
5*(h - 31)*(h + 2)
Let b(k) be the second derivative of -2*k**4/9 + 10*k**3/9 + 104*k**2/3 + 10447*k. Factor b(i).
-4*(i + 4)*(2*i - 13)/3
Let d(z) be the second derivative of -z**4/60 - 7*z**3/30 + 114*z**2/5 - 816*z - 1. Determine t, given that d(t) = 0.
-19, 12
Let b(o) be the second derivative of o**7/231 + 164*o**6/165 + 6387*o**5/110 - 420*o**4 + 7056*o**3/11 - 56*o + 115. Let b(g) = 0. What is g?
-84, 0, 1, 3
Let w(s) be the first derivative of s**4/14 + 4*s**3/7 + 9*s**2/7 + 8*s/7 + 1603. Solve w(v) = 0 for v.
-4, -1
Suppose -l + 23 - 28 = 5*c, -3*c - 3 = -5*l. Factor l - 2/5*k**2 + 2*k.
-2*k*(k - 5)/5
Factor 0*v**3 - 560 + 207*v**2 - 250*v + 286*v - 464*v + 2*v**3 - 73*v**2.
2*(v - 4)*(v + 1)*(v + 70)
Let l be (9/15)/(127/635). Let w(i) be the first derivative of 0*i + 2/5*i**2 - 2/5*i**l + 2/25*i**5 + 0*i**4 - 39. Factor w(d).
2*d*(d - 1)**2*(d + 2)/5
Let a(v) be the third derivative of 96*v**2 + 8/15*v**5 - 17/12*v**4 + 1/60*v**6 + 0*v**3 + 0*v + 0. Factor a(g).
2*g*(g - 1)*(g + 17)
Let a(d) be the second derivative of -d**5/5 + 28*d**4/3 - 66*d**3 + 144*d**2 + 1032*d. Factor a(s).
-4*(s - 24)*(s - 3)*(s - 1)
Let z(u) = 2*u**5 - u**4 - u**3 - u**2 + 1. Let q(l) = -27*l**5 - 12*l**4 + 138*l**3 - 192*l**2 + 141*l - 48. Let x(m) = -q(m) - 12*z(m). Factor x(s).
3*(s - 1)**4*(s + 12)
Let o = 132 + -128. Suppose -o + 5*t**2 + 18*t + 60*t + 59*t**2 + 18*t**2 = 0. Calculate t.
-1, 2/41
Let n(i) be the third derivative of i**6/120 + 56*i**5/5 - 449*i**4/8 + 337*i**3/3 - 10643*i**2