*x - 1/30*x**6 + 4/25*x**5 + b*x**2 - 3/20*x**4 + 11 - 4/15*x**3. Suppose v(n) = 0. What is n?
-1, 0, 1, 2
Let b(j) = -8*j**4 + 32*j**3 - 204*j + 174. Let a(p) = -15*p**4 + 62*p**3 - 404*p + 346. Let x(s) = 6*a(s) - 11*b(s). Suppose x(h) = 0. Calculate h.
-3, 1, 3, 9
Let w = 1339 + -1332. Let a(x) be the third derivative of 5/48*x**5 + 0*x + 0*x**3 + 0*x**4 + 1/840*x**w + 0 + 27*x**2 + 1/48*x**6. Factor a(t).
t**2*(t + 5)**2/4
Solve -144*c**2 - 88*c + 350*c**2 - 204*c**2 = 0 for c.
0, 44
Let l(u) = -2*u**3 + 15*u**2 + 104*u - 777. Let v be l(7). Find b such that v*b + b**3 + 3/2*b**2 + 0 - 1/2*b**4 = 0.
-1, 0, 3
Let r = 169 - 160. Factor k + 16*k**3 + r*k**2 - 3*k**4 + 9 - 19*k - 23*k**2 - 6*k.
-(k - 3)**2*(k + 1)*(3*k - 1)
Find z, given that -287*z + 19*z + 199 + 641 - 4*z**2 = 0.
-70, 3
Let x = 4214 - 12640/3. Suppose 8*b + 40/3 + x*b**2 = 0. Calculate b.
-10, -2
Let w(m) = -m**2 - 9*m - 16. Let u(k) = 6*k + 6. Let s be u(-2). Let y be w(s). Factor -y*h**2 + 2*h**2 - 12 + 3*h - 2*h**2 + 7*h.
-2*(h - 3)*(h - 2)
Let o(t) be the first derivative of -2*t**3/3 + 1054*t**2 - 555458*t + 3842. Factor o(p).
-2*(p - 527)**2
Let h(k) be the third derivative of k**8/504 - 598*k**7/315 + 118801*k**6/180 - 776060*k**5/9 - 3970000*k**4/9 - 8000000*k**3/9 - 1010*k**2. Factor h(v).
2*(v - 200)**3*(v + 1)**2/3
Let x = -120 - -190. Let g = -44 + x. Find p such that 27*p**2 + 2 - 75*p**3 - 17*p + 31*p**3 + g*p**2 - 14*p**5 - 33*p**3 + 53*p**4 = 0.
2/7, 1/2, 1
Let t(h) be the third derivative of h**6/120 - 155*h**5/84 + 137*h**4/42 + 110*h**3/21 + 2*h**2 - 2793*h. Factor t(z).
(z - 110)*(z - 1)*(7*z + 2)/7
Let i(r) be the third derivative of r**8/4032 - r**7/84 + r**5/15 + r**4/3 + r**2 + 63. Let k(o) be the third derivative of i(o). Determine x so that k(x) = 0.
0, 12
Suppose -7 = 5*k + z - 3, 4*z = -k + 3. Let b be (-3 + (-1)/(4/(-11)))*k. Let 1/4*w**2 + 1/4*w - 1/4*w**3 - b = 0. Calculate w.
-1, 1
Determine n so that -112*n + 927*n**2 + 892*n**2 - 12 + 839*n**2 - 2758*n**2 = 0.
-1, -3/25
Suppose 149 - 161 = -4*s. Determine n so that 5210*n**2 + 1960*n**4 - 474 + 229 + 183 + 182 + 7665*n**s + 1340*n - 1715*n**5 = 0.
-1, -2/7, 3
Let x(q) = -q**2 + 26*q - 42. Let r be x(24). What is u in 11*u - r*u - u**3 + 9*u + 4*u + 3*u**2 = 0?
-3, 0, 6
Let d = -5 - -8. Let w(h) = -32*h - 412. Let u be w(-13). Factor -u*n**3 + 6*n**2 + 6*n**d - 12*n - 6*n + 14 - 4.
2*(n - 1)**2*(n + 5)
Let i(j) = j**3 - 156*j**2 + 107*j + 7442. Let c be i(155). Suppose 2/9*p**3 + 4 - 4*p**c - 2/9*p = 0. Calculate p.
-1, 1, 18
Let l(m) be the first derivative of m**6/33 - 28*m**5/11 + 135*m**4/11 - 800*m**3/33 + 265*m**2/11 - 12*m - 12739. Factor l(p).
2*(p - 66)*(p - 1)**4/11
Let l(i) be the second derivative of 3/2*i**3 - 27*i + 0*i**2 + 0 + 1/12*i**4. Factor l(o).
o*(o + 9)
Suppose -2*j = -2*x + 2, 0 = 2*j - 0*x + 4*x - 28. Suppose j*t = 7*t - 15. Factor 15*n**2 - 5*n**3 + 5 - 12 - 5*n**4 + t*n - 3.
-5*(n - 1)**2*(n + 1)*(n + 2)
Let b(p) = 52*p**2 + 19296*p + 4608016. Let x(v) = -10*v**2 - 3858*v - 921603. Let f(h) = 3*b(h) + 16*x(h). Let f(o) = 0. What is o?
-480
Let -3/7*h**2 + 282/7*h + 576/7 = 0. What is h?
-2, 96
Let u(z) be the first derivative of 3*z**4/16 + 353*z**3/2 + 2115*z**2/8 + 4940. Factor u(s).
3*s*(s + 1)*(s + 705)/4
Let x(o) = 2*o**2 + 71*o + 106. Let h be x(-34). Factor -16*d**2 - h*d**3 + 10*d + 6*d + 8*d**3.
4*d*(d - 2)**2
Let g(f) be the second derivative of f**5/20 + 41*f**4/10 + 195*f**3/2 - 250*f**2 - 1926*f. Factor g(m).
(m + 25)**2*(5*m - 4)/5
Let c(t) = -10*t**2 + 4*t - 1. Let b(m) = -153*m**2 - 525*m - 15. Let v(w) = b(w) - 15*c(w). Find a, given that v(a) = 0.
-195, 0
Let x(w) be the first derivative of -4*w**5/5 - 38*w**4 - 48*w**3 + 76*w**2 + 148*w - 566. Factor x(k).
-4*(k - 1)*(k + 1)**2*(k + 37)
Let t(k) be the second derivative of -45/2*k**2 + 0 - 8*k - 7*k**3 + 1/4*k**4. Factor t(f).
3*(f - 15)*(f + 1)
Let g(i) be the second derivative of i**7/168 + 9*i**6/40 + 43*i**5/16 + 135*i**4/16 - 9*i**3 - 54*i**2 + 281*i + 2. Let g(c) = 0. Calculate c.
-12, -3, -1, 1
Suppose 35/2*a**3 - 1/6*a**5 + 0*a - 4/3*a**4 + 0 + 0*a**2 = 0. Calculate a.
-15, 0, 7
Let l be (9 - 56 - -7)*2/(-4). Factor 13*p - 29*p**2 + 3*p - 4*p + l + 12 + 27*p**2.
-2*(p - 8)*(p + 2)
Let u be 7 - (-7 - -6) - 6. Let r(v) be the second derivative of -1/45*v**6 + 0 + 1/6*v**4 - v + 2/3*v**u + 5/9*v**3 - 1/30*v**5. Factor r(x).
-2*(x - 2)*(x + 1)**3/3
Let f(w) = w**2 + 6*w + 4. Let b = -364 + 360. Let v(l) = -3*l**2 - 11*l - 9. Let a(y) = b*v(y) - 9*f(y). Determine d so that a(d) = 0.
0, 10/3
Let f = 8546/209 + -444/11. Let w = f - 12/95. Determine s so that 2/5*s - w*s**2 + 4/5 = 0.
-1, 2
Let h(w) be the second derivative of -w**4/28 - 31*w**3/7 - 531*w**2/14 - 2*w + 12. Solve h(f) = 0 for f.
-59, -3
Let m(b) be the first derivative of -b**3/7 + 510*b**2/7 + 2194. Determine u, given that m(u) = 0.
0, 340
Let q(m) be the second derivative of 46*m + 1/45*m**3 - 1/90*m**4 + 0 + 4/5*m**2. Find a, given that q(a) = 0.
-3, 4
Let l be (0 - (0 - -3)) + (-35)/(-7). Let k(j) be the first derivative of -5/2*j**l - 5/3*j**3 + 0*j + 11. What is y in k(y) = 0?
-1, 0
Let v be 30/9 - 2 - 84/126. Let c = -74 + 224/3. What is j in c*j**2 - 4 + v*j = 0?
-3, 2
Let y(a) be the third derivative of -a**6/180 - 73*a**5/90 - 71*a**4/18 + 18*a**2 - 3*a - 51. Suppose y(x) = 0. Calculate x.
-71, -2, 0
Let o(n) = -84*n - 8059. Let z be o(-96). Factor 0*v - 3/7*v**z - 9/7*v**4 + 0*v**3 + 0 + 12/7*v**2.
-3*v**2*(v - 1)*(v + 2)**2/7
Let h(c) be the first derivative of c**5/10 - 33*c**4/8 - c**3/6 + 33*c**2/4 + 2558. Factor h(r).
r*(r - 33)*(r - 1)*(r + 1)/2
Let n(r) be the second derivative of 1/3*r**4 + 12*r**2 + 28*r - 14/3*r**3 - 1. Factor n(z).
4*(z - 6)*(z - 1)
Suppose v = -4*w + 19, -20 = -4*v + 5*w + 14. Factor -6*i**2 + v - 29 + 46*i**2 - 14 - 16*i - 16*i**4 + 4*i**3 + 4*i**5.
4*(i - 2)**3*(i + 1)**2
Let w = 41925 - 712715/17. Factor -18/17*t**2 - w*t - 6/17*t**3 + 2/17*t**4 + 0.
2*t*(t - 5)*(t + 1)**2/17
Suppose 0 = -9*y - 158 + 176. Find m, given that -7*m**3 - 4*m**4 - m**3 - y*m**2 + 14*m**2 = 0.
-3, 0, 1
Let z(a) = a**3 + 30*a**2 + 151*a + 44. Let v be z(-6). Let n(t) be the second derivative of -25*t - 3/10*t**v + 0 + 1/60*t**4 + 1/15*t**3. Solve n(u) = 0.
-3, 1
Let h be (-60)/(-33) + -2 + 20598/33. Let r be 320/h - (84/(-39) - -2). What is d in 0 - 2/3*d**3 - 2/3*d**2 + r*d**5 + 0*d + 2/3*d**4 = 0?
-1, 0, 1
Let v(u) be the first derivative of u**6/6 + 164*u**5/5 + 9073*u**4/4 + 58374*u**3 + 161838*u**2 + 157464*u + 366. Find a such that v(a) = 0.
-54, -1
Let c(j) be the third derivative of -j**7/1260 + j**6/180 - j**5/72 + j**4/72 + 16*j**2 + 4*j. Find f such that c(f) = 0.
0, 1, 2
Solve 232*w**3 - 14/3*w**4 - 200/3 - 232*w + 214/3*w**2 = 0.
-1, -2/7, 1, 50
Let w be ((1/(-6))/(-1))/(4622/330 + -14). Let n(x) be the first derivative of w*x**4 - 55*x**3 + 50*x**2 - 20*x + 9 - 5*x**5. Suppose n(p) = 0. Calculate p.
2/5, 1, 2
Find z, given that 651/8*z + 81/2*z**2 + 163/4 - 1/8*z**3 = 0.
-1, 326
Let p(l) be the second derivative of -1/4*l**5 - 1/4*l**4 - 1/30*l**6 + 2*l**2 + 5/6*l**3 - 11 - 2*l. Factor p(r).
-(r - 1)*(r + 1)**2*(r + 4)
Suppose 4686/7*p + 388*p**2 - 8/7*p**4 + 398/7*p**3 + 144 = 0. Calculate p.
-3, -1/4, 56
Let a(g) be the third derivative of 0*g + 0*g**3 - 1/4*g**4 - 1/180*g**6 + 0 + 1/9*g**5 + 120*g**2. Factor a(i).
-2*i*(i - 9)*(i - 1)/3
Let g be (-24)/612 - 1353/(-1122). Factor g*c - 1/6*c**2 - 5/3.
-(c - 5)*(c - 2)/6
Suppose -277*p = -304*p + 81. Let f(a) be the second derivative of -28*a - 1/24*a**p + 0 + 1/80*a**5 + 0*a**2 + 0*a**4. Factor f(b).
b*(b - 1)*(b + 1)/4
Let b = -7734 - -7752. Let a = 5 + -1. Factor -r**a + 3*r**3 + b + 19*r - 58*r + 21*r**2 - 2*r**4.
-3*(r - 2)*(r - 1)**2*(r + 3)
Let q(b) be the third derivative of -b**6/240 + 3*b**5/40 + 35*b**4/24 + 21*b**2 - 11*b. Factor q(z).
-z*(z - 14)*(z + 5)/2
Let i be 10 - (-8 + 12 + 2). Suppose -4*x = -4*u + i, -63 = -u + 3*x - 64. Factor -4/7*h**3 + 24/7*h**u + 0*h + 0.
-4*h**2*(h - 6)/7
Let j(m) be the first derivative of 0*m + 4/25*m**5 + 55 - 4/5*m**3 - 4/5*m**2 + 0*m**4. Let j(s) = 0. Calculate s.
-1, 0, 2
Let g be 1 + (8 - 595/68). Factor -19683/4 - g*i**3 - 2187/4*i - 81/4*i**2.
-(i + 27)**3/4
Let r be 9/1296*6 + (-8149)/(-202