et -d*r**3 - 2/7 + 2/7*r + 2/7*r**2 = 0. What is r?
-1, 1
Let h be (15 - (5 - 2))/(-1). Let z = h + 16. Factor -22*o**2 - o**4 - 3*o**z + 9*o**2 + 24*o**3 - 23*o**2.
-4*o**2*(o - 3)**2
Let r = 1461 + -4375/3. Factor -2*x**2 - 2/3*x**3 + 0*x + r.
-2*(x - 1)*(x + 2)**2/3
Let a(c) be the second derivative of 49*c**4/78 + 1022*c**3/39 + 5329*c**2/13 - 419*c. Factor a(o).
2*(7*o + 73)**2/13
Let i(z) be the second derivative of z**6/80 + z**5/40 - z**4/16 - z**3/4 - 19*z**2/2 + 9*z. Let c(q) be the first derivative of i(q). Factor c(p).
3*(p - 1)*(p + 1)**2/2
Let i(w) = w**2 - w. Suppose -3*o + 66 + 0 = 0. Let b(x) = -9*x**2 + 11*x - 8. Let h(g) = o*i(g) + 2*b(g). Let h(s) = 0. What is s?
-2, 2
Let w(h) be the first derivative of 2*h**2 + 0*h**4 + 0*h**3 + 1/20*h**5 + 0*h + 4 - 1/40*h**6. Let n(r) be the second derivative of w(r). Factor n(t).
-3*t**2*(t - 1)
Let v(c) be the second derivative of -13*c + 0*c**2 - 1/3*c**4 + 1/42*c**7 + 1/6*c**3 - 2/15*c**6 + 3/10*c**5 + 0. Factor v(j).
j*(j - 1)**4
Let h(j) be the second derivative of -j**7/2415 - j**6/1380 + j**5/690 + j**4/276 + 11*j**2 - 16*j. Let r(p) be the first derivative of h(p). Factor r(c).
-2*c*(c - 1)*(c + 1)**2/23
What is b in -4*b**3 - 2/9*b**5 + 32/9*b**2 + 16/9*b**4 - 10/9*b + 0 = 0?
0, 1, 5
Let g(j) be the third derivative of j**8/13440 - j**7/10080 - j**6/360 + j**5/120 + 7*j**4/24 + 8*j**2. Let l(q) be the second derivative of g(q). Factor l(r).
(r - 2)*(r + 2)*(2*r - 1)/4
Let n(a) be the third derivative of a**6/660 + 2*a**5/55 - a**4/132 - 4*a**3/11 - 22*a**2. What is u in n(u) = 0?
-12, -1, 1
Let x(y) = y**3 + 3*y**2 + 2*y + 2. Let a be x(-2). Suppose 8*o - 3*o = -5, -a*i + 2*o = -12. Factor v**2 - i - 5*v**2 + 9.
-4*(v - 1)*(v + 1)
Let k = 33445/18 + -1858. Let x(b) be the third derivative of 0*b + 2*b**2 + 0 + k*b**4 + 0*b**3 - 1/90*b**5. Factor x(q).
-2*q*(q - 2)/3
Suppose 5*d = 4*p + 360, -2*p - 15 = p. Let l = 409/6 - d. Factor 0*c - 1/6*c**3 + 0 - l*c**4 + 0*c**2.
-c**3*(c + 1)/6
Find m, given that -6*m**2 + 4293*m**3 + 2*m**4 + 34*m - 20 + 4282*m**3 - 8585*m**3 = 0.
-2, 1, 5
Let s = 4465 - 102679/23. Let v = s + -57/115. Factor -4/5 + 4/5*m - v*m**2.
-(m - 2)**2/5
Suppose 0 = -27*q - 13*q. Let t(x) be the second derivative of -2/3*x**3 - 5*x + q*x**2 - 1/6*x**4 + 0. Factor t(i).
-2*i*(i + 2)
Factor k**2 + 7*k**2 + 2219*k**3 - 1108*k**3 - 1109*k**3.
2*k**2*(k + 4)
Let n(t) be the first derivative of 3*t**4/8 - 4*t**3 + 39*t**2/4 - 9*t - 8. Let n(a) = 0. What is a?
1, 6
Suppose 57*n + 4 = -1 + 5. Suppose -1/8*k**3 + n*k**2 - 1/8*k**4 + 0*k + 0 = 0. What is k?
-1, 0
Let n(u) be the third derivative of -2/175*u**7 + 0*u + 0*u**3 - 2*u**2 + 0*u**4 - 1/560*u**8 - 3/200*u**6 + 0*u**5 + 0. Solve n(l) = 0.
-3, -1, 0
Let d(v) = -v**2 - 5*v - 20. Let h be d(-9). Let y be h/(-90) + 5/((-45)/2). Let -6/5*x - 4/5 - y*x**2 = 0. What is x?
-2, -1
Let v = 16 - 14. Let z(x) be the first derivative of 2 + 3 + x**3 - x**2 - 3 - v*x**2. Solve z(n) = 0.
0, 2
Let j(w) be the second derivative of 0*w**2 + 0*w**3 - 1/42*w**4 + 0 - 1/35*w**5 + 14*w - 1/105*w**6. Factor j(a).
-2*a**2*(a + 1)**2/7
Let g = -2/11635 + 290983/628290. Let b = 1/27 + g. Suppose -b*y + 0 + y**3 + 0*y**2 - 1/2*y**5 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let c(b) be the third derivative of -b**7/735 - 47*b**6/210 - 767*b**5/70 - 1081*b**4/21 - 2116*b**3/21 - 401*b**2 + 2. Factor c(v).
-2*(v + 1)**2*(v + 46)**2/7
Let d(a) be the first derivative of 1/5*a**4 - 2/5*a**2 - 1/2*a**3 - 1/50*a**5 + 8/5*a - 21. Factor d(f).
-(f - 4)**2*(f - 1)*(f + 1)/10
Let z(h) = -5*h**3 + 37*h**2 - 7. Let v(l) = 5*l**3 - 36*l**2 + 6. Suppose -20*t + 22*t - 12 = 0. Let r(p) = t*z(p) + 7*v(p). Factor r(s).
5*s**2*(s - 6)
Let y(q) = 23*q**2 + 504*q + 198. Let j(x) = -275*x**2 - 6045*x - 2375. Let a(w) = -2*j(w) - 25*y(w). Factor a(o).
-5*(o + 20)*(5*o + 2)
Let g(b) be the third derivative of b**7/1680 - b**6/720 + 2*b**3 - 5*b**2. Let m(o) be the first derivative of g(o). Factor m(c).
c**2*(c - 1)/2
Suppose 0 = 5*p - 346 - 124. Let x = p - 92. Factor 2/5*k + 2/15*k**x + 4/15.
2*(k + 1)*(k + 2)/15
Let m be 52/14 - (-9)/((-441)/(-14)). Let p(r) = -5*r**3 + 3*r**2 - 2*r - 4. Let c(q) = -q**3 + q**2 - q - 1. Let l(t) = m*c(t) - p(t). Let l(u) = 0. What is u?
-2, 0, 1
Let o(q) = -2*q**3 + 10*q**2 - 3*q. Let c(n) be the first derivative of 15*n**4/4 - 80*n**3/3 + 25*n**2/2 - 5. Let t(s) = 3*c(s) + 25*o(s). Factor t(d).
-5*d**2*(d - 2)
Let y(g) be the first derivative of 4/5*g**2 + 2/15*g**3 + 0*g + 15. Let y(j) = 0. What is j?
-4, 0
Let c be (-33)/(-8) + -4 - (996/(-96) + 10). Factor c*b**3 - 1/2*b**2 + 0*b + 0.
b**2*(b - 1)/2
Let j(u) be the third derivative of u**7/378 - u**6/405 - u**5/54 + u**4/27 - 3*u**3 + 11*u**2. Let h(l) be the first derivative of j(l). Factor h(y).
4*(y - 1)*(y + 1)*(5*y - 2)/9
Let o be 1/(-2*3/(-30)). Factor -r**5 + 1 - 13*r**2 - 5*r + 5*r**4 - 5*r**3 + 23*r**2 - o*r**3.
-(r - 1)**5
Let r = 14 - 8. Let k be (9/6)/(r/64). Suppose -9*p**3 + 7*p**3 + k*p**2 - 8*p**3 - 2 - 2 - 2*p = 0. Calculate p.
-2/5, 1
Let m(s) be the first derivative of 7/12*s**3 - s**2 + 23 - 1/16*s**4 - 4*s. Factor m(q).
-(q - 4)**2*(q + 1)/4
Suppose -14 = -39*x + 103. Determine r, given that 0 - 6/5*r**2 + 0*r + 3/5*r**x = 0.
0, 2
Solve -3/4*d**3 + 0*d + 0 + 1/2*d**4 + 0*d**2 = 0 for d.
0, 3/2
Let k(y) be the first derivative of -y**4/24 - y**3/4 - y**2/2 - 4*y + 13. Let t(l) be the first derivative of k(l). Factor t(b).
-(b + 1)*(b + 2)/2
Let f = -621 + 625. Let y(p) be the third derivative of -1/3*p**f + 0*p**3 - 2*p**2 + 0*p - 2/15*p**6 - 2/105*p**7 - 1/3*p**5 + 0. Solve y(a) = 0.
-2, -1, 0
Let p be (171/(-12))/(7*(-108)/168). Determine r, given that 1 - 7/6*r**2 + p*r = 0.
-2/7, 3
Let q(v) be the second derivative of -v**7/98 - v**6/15 + v**5/140 + 5*v**4/7 + 6*v**3/7 - 562*v. Suppose q(r) = 0. Calculate r.
-3, -2/3, 0, 2
Let v(k) be the third derivative of k**5/510 - 5*k**4/102 - 11*k**3/51 - 5*k**2 - 3*k. Find c such that v(c) = 0.
-1, 11
Let j be ((-6)/(-14) - 41/(-35))/4. Solve 4*c**4 - j*c**5 - 16*c**3 - 32*c + 64/5 + 32*c**2 = 0.
2
Let u(r) be the first derivative of 3*r**5/5 + 12*r**4 + 42*r**3 + 60*r**2 + 39*r + 24. Find z such that u(z) = 0.
-13, -1
Let s(m) be the third derivative of 0*m**4 - 1/21*m**7 + 5/336*m**8 + 1/24*m**6 + 0*m**3 + 0*m + 0*m**5 - 13*m**2 + 0. Factor s(y).
5*y**3*(y - 1)**2
Let g be ((-43)/2322)/(2/((-6)/1)). Let h(i) be the first derivative of 0*i - 2/27*i**3 - g*i**4 + 0*i**2 + 1/27*i**6 + 2/45*i**5 - 11. Factor h(y).
2*y**2*(y - 1)*(y + 1)**2/9
Let x = -1013 + 1015. Let a be 2/(-1 + (-22)/(-2)). Factor -v + a + 4/5*v**x.
(v - 1)*(4*v - 1)/5
Let u = 2180 + -2177. Let n(i) be the second derivative of 0 + 6*i + 5/6*i**4 - 5/2*i**u - 1/2*i**6 + 1/2*i**5 + 5/42*i**7 + 5/2*i**2. Factor n(j).
5*(j - 1)**4*(j + 1)
Let d(m) be the first derivative of -1/12*m**6 + 0*m**2 - 2 - 1/4*m**4 + 0*m**3 + 0*m - 3/10*m**5. Factor d(u).
-u**3*(u + 1)*(u + 2)/2
Let o = -11446 - -11448. Factor 2/3*x**2 + o*x - 8/3.
2*(x - 1)*(x + 4)/3
Suppose -5*z + 7*z + 3383 - 3387 = 0. Let -2/13*w**z + 0 + 12/13*w = 0. What is w?
0, 6
Let z(b) be the third derivative of b**8/72 + 83*b**7/1260 + 79*b**6/720 + 19*b**5/360 - 7*b**4/144 - b**3/18 + 8*b**2 - 2*b. Suppose z(j) = 0. Calculate j.
-1, -1/4, 2/7
Suppose 0 = 3*r + 6*r - 99. Suppose -59 + 7 - 2*l**2 + r - 20*l - 9 = 0. Calculate l.
-5
Let i = -64 - -80. Let d = i - 31/2. Factor d*l**2 + 0 + 1/2*l.
l*(l + 1)/2
Let l be (-48)/2*(4 + (-111)/27). Determine s, given that 3 - s - l*s**2 + 4/3*s**3 = 0.
-1, 3/2
Let q be 2/6 + 10*(-112)/(-960). Solve -q + 9/4*k**3 + 3/4*k**2 + 3/4*k**4 - 9/4*k = 0 for k.
-2, -1, 1
Let z(j) = -j**2 - 7*j + 36. Let r be z(-7). Let x be r/45*10/52. Determine w so that -x*w**3 - 2/13*w + 0 - 4/13*w**2 = 0.
-1, 0
Let s(p) = -3*p**3 - 14*p**2 + 20. Let u be s(-6). Let i = 168 - u. Determine w, given that -2/5*w**3 - 4/5*w**2 + 2/5*w**i + 0 + 0*w = 0.
-1, 0, 2
Let t(o) = 2*o - 4. Let n be t(4). Suppose 0 = 2*d - 0*d + 2*f - 16, -n*d - 5*f = -36. Factor r + 2*r - 3*r**2 + 5*r + 4*r**d - 9*r**2.
4*r*(r - 1)**2*(r + 2)
Let n(x) be the second derivative of 15/2*x**3 - 7/4*x**4 - 27/2*x**2 + 3/20*x**5 + 12*x + 0. Factor n(f).
3*(f - 3)**2*(f - 1)
Let c(u) be the first derivative of -