3 - p*i + 2*i + i**5 = 0.
-1, 0, 2
Let s(r) be the third derivative of -r**10/7560 - r**9/1890 + r**7/315 + r**6/180 - r**4/6 + 2*r**2. Let l(h) be the second derivative of s(h). Factor l(k).
-4*k*(k - 1)*(k + 1)**3
Let k(q) be the third derivative of -q**9/181440 - q**8/30240 - q**7/15120 + q**5/20 + q**2. Let t(x) be the third derivative of k(x). Factor t(w).
-w*(w + 1)**2/3
Let k = -116 + 118. Suppose 0*l + 0 - 3/5*l**k + 9/5*l**3 - 9/5*l**4 + 3/5*l**5 = 0. What is l?
0, 1
Let v(t) be the first derivative of 2*t**3/3 - 5*t**2 + 8*t + 21. Determine l, given that v(l) = 0.
1, 4
Let i be ((-27)/6)/((-9)/(-12)). Let s be -1*(-8)/i - -3. Factor 1/3*m**4 - 2/3*m + s*m**2 + 0 - 4/3*m**3.
m*(m - 2)*(m - 1)**2/3
Suppose -z + 3*z - 5*o = -21, 0 = -4*z - 3*o + 23. What is c in 1/5*c**z - 1/5*c + 0 = 0?
0, 1
Let g = 838/11 + -76. Factor 4/11*p**4 - g*p + 0*p**2 + 0 + 6/11*p**3.
2*p*(p + 1)**2*(2*p - 1)/11
Let s be 11*(0 + 0 + -2). Let d be (-48)/(-22) - (-4)/s. Factor 2*p**2 + d + 4*p + 0 + 0.
2*(p + 1)**2
Let v be 2/2 + 1 - 0. Factor -28*d**5 + 48*d**4 + 8*d**4 - v*d**3 - 70*d**5 - 6*d**3.
-2*d**3*(7*d - 2)**2
Let a(c) be the third derivative of 1/60*c**5 + 0*c**3 - 1/48*c**4 + 0 + 0*c**6 - 1/210*c**7 + 1/672*c**8 + 8*c**2 + 0*c. Factor a(u).
u*(u - 1)**3*(u + 1)/2
Let o(p) be the third derivative of -p**8/1176 + p**6/140 + p**5/105 + 4*p**2. Factor o(t).
-2*t**2*(t - 2)*(t + 1)**2/7
Let x = -105 - -105. Let p(l) be the first derivative of x*l + 0*l**2 + 3/4*l**4 + 4 - l**3. Let p(s) = 0. Calculate s.
0, 1
Let l(r) be the second derivative of -1/30*r**4 + 0 - 4/5*r**2 + r + 3/50*r**5 - 8/15*r**3. Let l(k) = 0. What is k?
-1, -2/3, 2
Let n(q) be the second derivative of -3/20*q**4 + 0*q**2 - 9*q + 0 + 3/100*q**5 + 1/5*q**3. Solve n(w) = 0.
0, 1, 2
Let z(b) = b**3 - 14*b**2 - 19*b + 63. Let p be z(15). Factor 2/13 - 2/13*m - 2/13*m**2 + 2/13*m**p.
2*(m - 1)**2*(m + 1)/13
Suppose 5*q - 2*q = 0. Let j(s) be the third derivative of 0*s + 1/270*s**6 - 1/90*s**5 + 0 + 1/108*s**4 + q*s**3 - 3*s**2. Find c such that j(c) = 0.
0, 1/2, 1
Let k(q) = q**3 + 12*q**2 + 10*q - 6. Let y be k(-11). Let j(f) be the third derivative of 0*f + 1/180*f**y + 0 - 1/72*f**4 - 1/9*f**3 + 2*f**2. Factor j(c).
(c - 2)*(c + 1)/3
Factor -4 - 3*c**2 - 6*c - 1/2*c**3.
-(c + 2)**3/2
Factor -2/5*j**2 - 14/5 + 16/5*j.
-2*(j - 7)*(j - 1)/5
Let i be (-4)/((-2 - -8)/((-9)/2)). Let r = 21/2 - 55/6. Let 2*p**4 + 2*p**2 - r + 14/3*p**i - 2*p = 0. Calculate p.
-1, 2/3
Let g(q) be the third derivative of q**6/210 - 4*q**5/105 + 2*q**4/21 - 6*q**2. Let g(y) = 0. Calculate y.
0, 2
Suppose 1 - 5 = -2*g. Let -6*y - 10*y - g + 32*y**2 + 4 + 0 = 0. Calculate y.
1/4
Let x(f) be the first derivative of f**6/75 - f**5/50 - 4*f + 2. Let y(z) be the first derivative of x(z). Let y(c) = 0. What is c?
0, 1
Let k(v) be the third derivative of -v**8/60480 + v**7/15120 + 7*v**5/60 - 5*v**2. Let p(w) be the third derivative of k(w). Factor p(n).
-n*(n - 1)/3
Let x(u) be the second derivative of 1/54*u**4 - 2*u + 1/9*u**2 - 2/27*u**3 + 0. Factor x(y).
2*(y - 1)**2/9
Let n be ((-1)/3)/(13/(-156)). Determine x, given that 0 - 5/4*x**2 - 1/2*x + 1/2*x**3 + 5/4*x**n = 0.
-1, -2/5, 0, 1
Let w(r) = -3*r + 2. Let j be w(1). Let l be 1 - -3*j/4. Solve 1/4*g + l*g**2 + 0 = 0 for g.
-1, 0
Factor 0*m**4 - 4*m + 5*m**3 + 4*m**4 - 4*m**2 - m**3.
4*m*(m - 1)*(m + 1)**2
Let a(p) = -5*p**5 + 34*p**4 - 37*p**3 + 22*p**2 - 4*p + 5. Let o(c) = 7*c**5 - 51*c**4 + 55*c**3 - 33*c**2 + 6*c - 8. Let k(g) = 8*a(g) + 5*o(g). Factor k(n).
-n*(n - 1)**3*(5*n - 2)
Let c(s) be the third derivative of s**6/210 + 2*s**5/105 - s**4/42 - 4*s**3/21 - 5*s**2. Factor c(b).
4*(b - 1)*(b + 1)*(b + 2)/7
Let o = -161 + 645/4. Let l be 1/(-28) - (-2)/7. Let -1/4*j**2 + 0 - l*j**3 + o*j + 1/4*j**4 = 0. What is j?
-1, 0, 1
Let s(k) = -2*k**3 - 2*k**2 - 6*k + 3. Let b(r) = -r**3 - r + 1. Let w(n) = 3*b(n) - s(n). Suppose w(o) = 0. Calculate o.
-1, 0, 3
Factor -8 + 17*l + 2*l**2 - 26*l - 2*l**3 + 17*l.
-2*(l - 2)*(l - 1)*(l + 2)
Suppose -5*w = -f - 18, 5*w - 2*f + 9*f - 34 = 0. Let 6/5*t**w - 14/5*t**2 + 2/5*t**5 + 8/5 + 0*t - 2/5*t**3 = 0. Calculate t.
-2, -1, 1
Let y(b) be the second derivative of b**4/30 - b**3/15 + 6*b. Factor y(v).
2*v*(v - 1)/5
Let p(t) = t**2 - 29*t + 1. Let g(y) = y**2 - 14*y + 1. Let a(s) = -9*g(s) + 4*p(s). Factor a(i).
-5*(i - 1)**2
Let q(x) be the second derivative of 6*x + 0 + 1/3*x**4 - x**2 + 7/6*x**3. Factor q(h).
(h + 2)*(4*h - 1)
Suppose 72*g = 74*g - 4. Solve 2/11*h**4 + 6/11*h**g + 0 + 6/11*h**3 + 2/11*h = 0 for h.
-1, 0
Suppose 3 + 3 = 2*x. Suppose 0 = 2*k - 14 - 6. Determine f so that -8*f + k*f**x - 2*f**2 - 1 + 3 - 2*f**3 = 0.
-1, 1/4, 1
Let u(m) be the third derivative of m**6/40 + 3*m**5/5 + 6*m**4 + 32*m**3 + 4*m**2. Suppose u(q) = 0. Calculate q.
-4
Let d(m) = 19*m**2 + 24*m + 16. Let h(b) be the first derivative of -5*b**3/3 - 3*b**2 - 4*b - 5. Let o(i) = -6*d(i) - 22*h(i). Find x, given that o(x) = 0.
-2, -1
Factor -21*c**3 - 20 - 11 - 34*c**2 - 16 - 15*c + 45.
-(c + 1)*(3*c + 1)*(7*c + 2)
Let q(s) = -s + 14. Let d be q(12). Factor -2/9*m**3 + 1/9*m**d + 2/9*m - 1/9*m**4 + 0.
-m*(m - 1)*(m + 1)*(m + 2)/9
Let i(j) be the first derivative of j**3/12 - j**2/4 - 6. Find v, given that i(v) = 0.
0, 2
Let j(o) be the second derivative of o**7/21 - o**6/15 - o**5/5 + 5*o. Factor j(p).
2*p**3*(p - 2)*(p + 1)
Let t = 9/22 + -37/198. Factor 4/9*s - t - 2/9*s**2.
-2*(s - 1)**2/9
Suppose 0 = 5*j - 2*j. Let r(w) be the first derivative of j*w**2 - 1 + 2/3*w**3 + 0*w. Suppose r(n) = 0. What is n?
0
Let 3*u**2 + 19*u + 2 - 31*u + 7 = 0. What is u?
1, 3
Let y = 19 - 11. Let -h - 8*h**4 - 4*h**5 + 2*h - 12*h**3 - 3*h - y*h**2 + 2*h**5 = 0. Calculate h.
-1, 0
Suppose 9 = i - 8. Let d be i/18 - (-2)/(-4). Factor 2/9*p + 0 - 8/9*p**4 - 14/9*p**3 - d*p**2.
-2*p*(p + 1)**2*(4*p - 1)/9
Let j be ((-4)/(-3) - 0)/(2/6). Suppose -1/5*l**3 + 0*l - 1/5*l**5 + 2/5*l**j + 0*l**2 + 0 = 0. Calculate l.
0, 1
Let q(c) be the second derivative of -49*c**5/150 + 14*c**4/45 - 4*c**3/45 + 6*c. Suppose q(x) = 0. Calculate x.
0, 2/7
Let a(g) be the second derivative of 0 - 2*g**3 - 2*g + 1/6*g**4 + 9*g**2. Factor a(b).
2*(b - 3)**2
Let p = -40 - -42. Factor 2/7*u**p + 2/7 + 4/7*u.
2*(u + 1)**2/7
Factor 0*i + 0 + 1/3*i**2.
i**2/3
Let 8*k + 2*k**4 - 5*k + 30*k**2 - 40 - 7*k**4 - 5*k**3 + 17*k = 0. What is k?
-2, 1, 2
Let i = -799 + 802. Factor -2/7*n**i + 0 + 2/7*n**2 + 0*n.
-2*n**2*(n - 1)/7
Let o = -1 - -2. Suppose w - o = 2. Factor -w*a**4 + a**2 - 3*a**4 + 5*a**4.
-a**2*(a - 1)*(a + 1)
Suppose 3*i = i - 4. Let l be 16/36 - i/9. Factor 0*a - 2/3 + 4/3*a**2 - l*a**4 + 0*a**3.
-2*(a - 1)**2*(a + 1)**2/3
Let c(w) = 6*w**2 + 3*w - 5. Let v(q) = -1. Let a(l) = -c(l) + 2*v(l). Factor a(z).
-3*(z + 1)*(2*z - 1)
Suppose -h - 2 = -3*f + 2, -f - 6 = -4*h. Factor -3*t**3 - 12*t**2 + 0*t**2 + f*t**2 - 4*t + 7*t**3 + 10*t**4.
2*t*(t - 1)*(t + 1)*(5*t + 2)
Let z = 2/13 - -12/91. Let s(w) be the first derivative of -z*w**2 + 2 - 1/14*w**4 - 2/7*w**3 + 0*w. Factor s(x).
-2*x*(x + 1)*(x + 2)/7
Let k(q) be the first derivative of q**4/18 - 2*q**3/9 - q**2 - 10*q/9 - 1. Determine c so that k(c) = 0.
-1, 5
Let g = 1 + 7. Suppose -g = -4*p - 0. Determine x so that -3/4*x**3 - 1/4*x + 0 + 1/4*x**4 + 3/4*x**p = 0.
0, 1
Let y be 2/1 - (-753)/(-9). Let k = 83 + y. Let -k*m - 2/3*m**2 - 2/3 = 0. Calculate m.
-1
Let n(k) be the first derivative of -k**3/33 - 4*k**2/11 - 12*k/11 + 32. Factor n(l).
-(l + 2)*(l + 6)/11
Factor 16*f**3 + 2 - 2 - 12*f**2 - 31*f**4 + 27*f**4.
-4*f**2*(f - 3)*(f - 1)
Let y be (-7)/4 - (-3)/12. Let s = y - -3. Factor -1/2*f**3 - 3/2*f**2 - 1/2 - s*f.
-(f + 1)**3/2
Determine i, given that 0 - 1/3*i**2 - 1/3*i = 0.
-1, 0
Let f(s) = s**3 + 13*s**2 - s - 11. Let a be f(-13). Let r = 4 + -2. Factor r*i**3 + a*i**2 + 2*i**2 - i**2 + 4*i**3.
3*i**2*(2*i + 1)
Let g(m) = m + 2. Let o be g(5). Suppose 0 = h, 5*w - 22 = -5*h - o. Factor 18/5*l**w - 14/5*l**4 + 0 + 0*l - 4/5*l**2.
-2*l**2*(l - 1)*(7*l - 2)/5
Let h(n) be the first derivative of n**7/105 - n**6/30 + n**4/6 - n**3/3 + n**2 - 5. Let v(i) be the second derivative of h(i). Factor v(p).
2*(p - 1)**3*(p + 1)
Let u = -1 + 2. Let o be 1 + 20/(-12) + u. Solve 0*l**2 - o*l**3 + 0 + 1/3*l = 0 for l.
-1, 0,