5*r - 7 - 12/5*r**3 - 27/5*r**2 - 1/2*r**g - 1/25*r**5. Let t(n) = 0. What is n?
-3, -1
Let a = -589 + 589. Suppose 4*s + 0 = 8. Suppose -2/5*r**4 + 0*r + a - 8/5*r**s + 8/5*r**3 = 0. What is r?
0, 2
Let f be (8/(-70)*(-320)/(-128))/((-1)/7). Let -3 - 9/7*h + 12/7*h**f = 0. Calculate h.
-1, 7/4
Let v(y) be the third derivative of 28*y**2 + 0*y**6 - 2/21*y**3 + 0 + 0*y - 2/735*y**7 + 2/105*y**5 + 0*y**4. Factor v(k).
-4*(k - 1)**2*(k + 1)**2/7
Suppose 0 = x - 5*x. Let n(k) be the second derivative of -k + 3/4*k**2 + 1/3*k**3 + 1/24*k**4 + x. Factor n(r).
(r + 1)*(r + 3)/2
Let g(x) = -x**2 - 13*x + 3. Suppose 117 = -8*f - f. Let j be g(f). Find n such that 10 - 3*n**2 + 3*n - 3*n**3 + j - 10 = 0.
-1, 1
Let n(h) be the first derivative of -2/3*h**6 + 8*h**4 + 25 + 0*h**5 - 32*h**2 + 0*h**3 + 0*h. Factor n(p).
-4*p*(p - 2)**2*(p + 2)**2
Let u(l) = -l**2 + 9*l - 6. Let s be u(8). Let y be (-2)/3 + 33/9. Factor y*r**2 + 13*r - 14*r - r**s - r**3.
-r*(r - 1)**2
Let m(q) be the first derivative of -10*q**3/3 + 128*q**2 + 104*q - 62. Let m(k) = 0. What is k?
-2/5, 26
Let r be (-2)/(-3) + (-4)/6. Let m be -3 + 28/(-8)*-2 + r. Factor -23/3*u**2 + 13/3*u + 3*u**m + u**3 - 2/3.
(u - 1)*(u + 2)*(3*u - 1)**2/3
Let z(m) be the first derivative of m**4/6 + 14*m**3/9 + 4*m**2/3 - 8*m + 174. Solve z(a) = 0 for a.
-6, -2, 1
Let x(t) be the second derivative of -t**7/231 - 4*t**6/165 + 4*t + 2. Factor x(q).
-2*q**4*(q + 4)/11
Let a(d) be the first derivative of -d**5/420 - d**4/168 + d**3/21 - 8*d**2 + 19. Let s(f) be the second derivative of a(f). Factor s(m).
-(m - 1)*(m + 2)/7
Let u be (-5 - -1)*78/4. Let t be 65/u*2/(40/(-18)). Factor -9/4*s**2 + 3/4*s + 3/2 + t*s**4 - 3/4*s**3.
3*(s - 2)*(s - 1)*(s + 1)**2/4
Find x such that -62*x**2 + 14/3*x**4 + 88/3*x**3 + 52/3*x + 32/3 = 0.
-8, -2/7, 1
Let b(r) = -r**2 - r - 1. Let i(t) = -25*t**2 - 30*t - 5. Let f be (-3 - 85/(-25))*-50. Let h(s) = f*b(s) + i(s). Factor h(x).
-5*(x - 1)*(x + 3)
Suppose -519115/4*a + 0 + 33135/4*a**2 - 705/4*a**3 + 5/4*a**4 = 0. Calculate a.
0, 47
Factor -32/5 + 22*i + 7/5*i**2.
(i + 16)*(7*i - 2)/5
Let w = -23 + 26. Suppose 64*v**2 + 251*v - 424*v - 432*v + 46*v**2 - 5*v**w = 0. Calculate v.
0, 11
Let m(s) be the second derivative of -1/3*s**3 - 1/3*s**4 - 47*s - 1/10*s**5 + 0*s**2 + 0. Factor m(i).
-2*i*(i + 1)**2
Suppose 0 = -9*k + 14*k - 25. What is n in 33*n**4 - 13*n**5 - 15*n**3 + 3*n**5 - 6*n**2 - 2*n**k = 0?
-1/4, 0, 1, 2
Let o(v) = v**3 - 5*v**2 + 2*v - 1. Let z be o(4). Let k be (z*(-1 + 0))/1. Factor k + l - 9 + l + l**2.
l*(l + 2)
Let l be 3 - (-1)/((12/(-3))/68). Let v be 80/35 + 4/l. Determine c so that 2/9*c**3 + 0 - 2/9*c**v - 4/9*c = 0.
-1, 0, 2
Determine u, given that 463*u**2 + 5*u**4 - 415*u**2 - 124*u**3 + 5*u**4 = 0.
0, 2/5, 12
Determine f so that 3*f**3 - 91*f + 12*f**2 + 94*f + 0*f**3 - 18 = 0.
-3, -2, 1
Let f = -424 - -1273/3. Let y be ((-4)/6)/((-3)/9). Determine j so that 0*j - f + 1/3*j**y = 0.
-1, 1
Suppose -5*k + 5*t + 65 = 0, k + 1 - 2 = -2*t. What is x in 9 - 15 - 4*x**4 - 2*x**4 + 25*x**3 - 9*x**5 - k*x + 12*x**2 - 7*x**3 = 0?
-1, -2/3, 1
Let m(t) = 16*t**4 - 48*t**3 - 65*t**2 + 48*t + 49. Let p(g) = 7*g**4 - 24*g**3 - 32*g**2 + 24*g + 25. Let y(j) = -2*m(j) + 5*p(j). Factor y(i).
3*(i - 9)*(i - 1)*(i + 1)**2
Let i(n) = 3*n**2 + 18*n + 3. Suppose 0 = -169*q + 164*q - 30. Let x be i(q). Factor -4/9*h**4 - 4/9*h**x - 14/9*h + 2/9*h**5 + 4/9 + 16/9*h**2.
2*(h - 1)**4*(h + 2)/9
Let u(s) = -717*s**2 - 2*s**3 + s**3 + 717*s**2. Suppose 0 = 5*a + 2 + 3. Let z(y) = -4*y**3 - y**2 + 2*y. Let q(i) = a*z(i) + 3*u(i). Let q(n) = 0. What is n?
-2, 0, 1
Let a(u) be the first derivative of u**7/3360 - u**5/160 - u**4/48 - u**3 - u**2 - 3. Let z(y) be the third derivative of a(y). Factor z(n).
(n - 2)*(n + 1)**2/4
Let x = -82 - -85. Let z be (-10)/(-3)*3/2. Factor x*s + 4*s**5 - 6*s**3 - 3*s**5 + 2*s**z + 0*s**3.
3*s*(s - 1)**2*(s + 1)**2
Let l be 6/28*168/720. Let y(z) be the second derivative of l*z**4 + z - 1/15*z**3 + 0*z**2 + 0 - 1/100*z**5. Determine g so that y(g) = 0.
0, 1, 2
Let u(i) be the first derivative of -i**3/2 + 15*i**2/4 + 9*i + 198. Factor u(m).
-3*(m - 6)*(m + 1)/2
Let g(m) be the third derivative of m**8/336 - m**7/525 - 159*m**2. Factor g(r).
r**4*(5*r - 2)/5
Let o = -107 - -111. Factor -97 + o*x**2 + 97.
4*x**2
Let j(l) be the second derivative of -11*l**6/6 - 41*l**5/4 - 95*l**4/4 - 175*l**3/6 - 20*l**2 - 35*l + 3. Determine z, given that j(z) = 0.
-1, -8/11
Let t(d) be the second derivative of -d**7/2940 + 4*d**3 - 36*d. Let z(k) be the second derivative of t(k). Factor z(m).
-2*m**3/7
Factor 2/9*a - 2/3*a**2 + 2/3 - 2/9*a**3.
-2*(a - 1)*(a + 1)*(a + 3)/9
Let q be (-3)/2*2 - (-55)/(-11). Let g be (q/(-10))/((-4)/20 - -3). Suppose 0 + 4/7*y - g*y**2 = 0. What is y?
0, 2
Let i = -5 + 1. Let z(b) = b**5 - b**4 - b**3 - b**2. Let x(g) = 4*g**5 - 4*g**4 - 4*g**3 - 3*g**2. Let k(d) = i*x(d) + 14*z(d). Factor k(h).
-2*h**2*(h - 1)**2*(h + 1)
Let k(m) = m**3 + 6*m**2 + 4*m - 2. Let p(q) = q - 6. Let f be p(1). Let y be k(f). Let -3/5*w + 0 - y*w**2 = 0. What is w?
-1/5, 0
Let z(j) = -j - 3. Let q(m) = -2*m**3 + 4*m**2 - 3*m + 1. Let r be q(2). Let o be z(r). Find h, given that 2 - 1 + 2*h**3 - 3 - 2*h + 2*h**o + 0 = 0.
-1, 1
Let 76/7*p**3 + 4/7*p**5 + 88/7*p**2 - 38/7*p**4 - 50/7 - 80/7*p = 0. Calculate p.
-1, -1/2, 1, 5
Let l(n) = -12*n**3 - 4*n**2 - 16*n - 8. Let z(k) = -2*k**3 - k**2 - k - 1. Let f(w) = -l(w) + 8*z(w). Solve f(h) = 0 for h.
-2, 0, 1
Let q = 90 + -85. Factor 0 + 118*b + q*b**4 - 128*b + 10*b**3 - 5.
5*(b - 1)*(b + 1)**3
Let f = 32 + -35. Let w(h) = h**3 + 2*h**2 - 3*h + 3. Let j be w(f). Solve j - r**2 + 1 - 4 - 2*r = 0.
-2, 0
Let c be (-2)/412*(-95)/2. Let l = c + 2/103. Factor 1/4*g**2 - l + 0*g.
(g - 1)*(g + 1)/4
Let q(j) be the second derivative of j**10/11760 - j**9/2520 + j**8/1470 - j**7/2205 + 9*j**4/4 + 8*j. Let z(d) be the third derivative of q(d). Factor z(i).
2*i**2*(i - 1)*(3*i - 2)**2/7
Let n(a) be the third derivative of -a**6/200 - a**5/25 - a**4/10 - a**2 - 25*a. Factor n(c).
-3*c*(c + 2)**2/5
Let f(p) be the second derivative of -p**6/2340 - p**5/39 - 25*p**4/39 + 17*p**3/6 - 25*p. Let k(y) be the second derivative of f(y). Factor k(v).
-2*(v + 10)**2/13
Let l(q) be the second derivative of 2*q**6/15 - 54*q**5/5 + 781*q**4/3 - 936*q**3 + 1352*q**2 - 32*q. Factor l(o).
4*(o - 26)**2*(o - 1)**2
Find u, given that 7/2*u - 5/3 - 2*u**2 + 1/6*u**3 = 0.
1, 10
Let s(x) be the second derivative of x**6/180 + 9*x**5/40 - 24*x. Let s(y) = 0. What is y?
-27, 0
Let l(h) be the second derivative of 4*h - 1/2*h**3 + 3*h**2 - 5 - 1/4*h**4. Factor l(d).
-3*(d - 1)*(d + 2)
Let r(y) be the third derivative of y**9/16632 - y**8/1848 + y**7/660 - y**6/660 - y**3/6 + 16*y**2. Let v(k) be the first derivative of r(k). Factor v(s).
2*s**2*(s - 3)*(s - 1)**2/11
Let y(b) = b**2 + b - 2. Let x be y(-3). Suppose -4*m + 5*z = 0, 0*z = -x*m + 4*z. Factor 3/2*f**2 + m + 0*f.
3*f**2/2
Let y(i) be the first derivative of -i**4/4 - i**3 - 3*i**2/2 + 8*i + 13. Let g(x) be the first derivative of y(x). Let g(c) = 0. What is c?
-1
Suppose d + 5*d - 4*d - 9*d = 0. Factor d - 1/2*s**2 - 1/2*s.
-s*(s + 1)/2
Let t(i) be the first derivative of -2*i**6/9 + 8*i**5/15 + 2*i**4/3 - 32*i**3/9 + 14*i**2/3 - 8*i/3 - 259. Suppose t(k) = 0. Calculate k.
-2, 1
Let b(z) be the first derivative of -z**4/4 + 8*z**3/3 - 3*z**2 + 6*z + 9. Let g be b(6). Factor k**5 - 3*k**5 - 2*k**4 + 42 - g.
-2*k**4*(k + 1)
Let l(g) be the first derivative of -2/15*g**5 + 0*g**2 + 0*g - 8/9*g**3 + 2/3*g**4 - 19. Let l(w) = 0. What is w?
0, 2
Let i(d) = 16*d**2 - 5*d + 4. Let q be (-10)/(2 - 4) - 1. Let w(b) = 17*b**2 - 5*b + 3. Let m(o) = q*w(o) - 3*i(o). Factor m(r).
5*r*(4*r - 1)
Let d(u) be the second derivative of -9*u**4/8 - 2*u**3 + 62*u - 2. Factor d(z).
-3*z*(9*z + 8)/2
Let h be 12/42 + (-33)/(-7). Suppose 2*r + 10 = 3*d, 11*d + h*r = 6*d. Factor -10*o - 2*o**2 + 10*o + d.
-2*(o - 1)*(o + 1)
Let j(o) be the second derivative of o**4/84 - 2*o**3/21 - 5*o**2/14 + 58*o. Factor j(q).
(q - 5)*(q + 1)/7
Let b be (-36)/(-10)*-5*1/(-3). Let s(u) be the first derivative of 15/16*u**4 + 0*u - 2/3*u**b + 4 + 1/8*u**2 - 2/5*u**5 + 2/3*u**3. Let s(h) = 0. What is h?
-1, -1/4, 0, 1
Let k(