**k + 2 - 1 + 3 = 0 for r.
-1, 2
Let l(a) = -a. Let n(c) = 3*c**2 - 3*c + 18. Let t(o) = 12*l(o) + n(o). Suppose t(p) = 0. What is p?
2, 3
Let g(k) = -5*k**5 - 3*k**4 + 18*k**3 + 10*k**2 - 3*k - 3. Let q(v) = v**4 - v**3 + v + 1. Let l(f) = g(f) + 3*q(f). Factor l(a).
-5*a**2*(a - 2)*(a + 1)**2
Let u(c) = -3*c**3 - 11*c**2 + 4. Let s(k) = 5*k**3 + 21*k**2 - 7. Let f(i) = -4*s(i) - 7*u(i). Find p such that f(p) = 0.
0, 7
Find z such that -2 + 33*z - 48*z - 4 - 4 + 5*z**3 = 0.
-1, 2
Let -95*j + 4*j**2 - 81*j + 1638 + 298 = 0. Calculate j.
22
Let s be -3 + (-21)/(-9) + 1. Let f = -71 + 71. Factor f*k**2 + 0 + 1/3*k**3 + 0*k + s*k**4.
k**3*(k + 1)/3
Let 4/3 + 5/3*w**2 + 8/3*w + 1/3*w**3 = 0. What is w?
-2, -1
Factor 56*s**2 + 60*s + 0*s**4 + 24 - 2*s**3 + 23*s**3 + 3*s**4 - 2*s**2.
3*(s + 1)*(s + 2)**3
Let k be 2/(-2)*(2 + (-15)/3). Let -8/7*o**2 + 0 - 18/7*o**5 - 6*o**4 + 0*o - 32/7*o**k = 0. Calculate o.
-1, -2/3, 0
Let g(h) be the first derivative of 0*h + 4 - 1/4*h**2 + 1/6*h**3. Factor g(o).
o*(o - 1)/2
Let p(x) be the third derivative of 1/420*x**6 + 0*x + 0 + x**2 + 3/7*x**3 + 1/30*x**5 + 5/28*x**4. Let p(d) = 0. Calculate d.
-3, -1
Let u(l) = -23*l - 59*l**2 - l**4 + 31*l + 34*l + 25*l**3 - 17. Let v(c) = 3*c**4 - 63*c**3 + 147*c**2 - 105*c + 42. Let t(n) = -12*u(n) - 5*v(n). Factor t(f).
-3*(f - 2)*(f - 1)**3
Let l(z) be the first derivative of -z**4/12 + z**3/6 + z**2 + 8*z - 4. Let u(w) be the first derivative of l(w). Factor u(s).
-(s - 2)*(s + 1)
Let c(i) be the third derivative of -i**7/420 - i**6/120 + i**4/24 + i**3/6 + 4*i**2. Let s(n) be the first derivative of c(n). Factor s(x).
-(x + 1)**2*(2*x - 1)
Let c(t) = t**2 + 6*t - 15. Let u(r) = -3*r**2 - 18*r + 44. Let b(m) = 17*c(m) + 6*u(m). Let z be b(-7). Factor -3*l - 4 + 2*l**3 - 5*l + z*l.
2*(l - 2)*(l + 1)**2
Suppose -m + 25 = 4*m. Let -s**3 + 0*s**5 + 2*s**m - 4*s**5 - 2*s**2 + 2*s**4 + 3*s**5 = 0. What is s?
-2, -1, 0, 1
Let d(u) be the second derivative of -u**6/105 - u**5/70 + u**4/14 + u**3/21 - 2*u**2/7 + 16*u. Suppose d(w) = 0. Calculate w.
-2, -1, 1
Let w(m) be the first derivative of 0*m + 0*m**3 - 1/3*m**6 + 0*m**2 + 3 - 2/5*m**5 + m**4. Factor w(z).
-2*z**3*(z - 1)*(z + 2)
Let f(y) be the first derivative of 4 - 3/4*y**4 + 3/5*y**5 + 3/2*y**2 - y**3 + 0*y. Factor f(u).
3*u*(u - 1)**2*(u + 1)
Let l(u) be the second derivative of -9/5*u**2 - 4/25*u**5 - 11/15*u**4 + 0 + 6*u - 8/5*u**3 - 1/75*u**6. Find h, given that l(h) = 0.
-3, -1
Let h(n) be the third derivative of n**7/945 + n**6/270 - n**5/270 - n**4/54 - 24*n**2. Factor h(m).
2*m*(m - 1)*(m + 1)*(m + 2)/9
Let p be 12/32*(-6)/(-9). Let -1/4*g + p*g**2 + 0 = 0. Calculate g.
0, 1
Let m(q) be the first derivative of -q**4/12 - q**3/4 - q**2/4 - q - 3. Let g(s) be the first derivative of m(s). Factor g(z).
-(z + 1)*(2*z + 1)/2
Let o(l) be the second derivative of 0 - 1/42*l**4 + 5*l + 1/105*l**6 + 0*l**3 - 1/70*l**5 + 0*l**2 + 1/147*l**7. Factor o(i).
2*i**2*(i - 1)*(i + 1)**2/7
Factor 11*j - 16*j**3 - 40*j**2 + 32*j**4 + 20*j**5 - 15*j + 8 + 0*j**4.
4*(j - 1)*(j + 1)**3*(5*j - 2)
Let b(h) be the second derivative of -4*h + 3/20*h**5 + 0 - 1/2*h**4 + 3*h**2 - 1/2*h**3. Factor b(u).
3*(u - 2)*(u - 1)*(u + 1)
Let 13*c**2 - 5*c**3 - 3*c**2 - 16*c**4 + c**4 = 0. Calculate c.
-1, 0, 2/3
Let f(v) be the second derivative of 0 + 1/168*v**7 - 1/120*v**6 + 1/24*v**3 + 1/24*v**4 - 1/40*v**5 - 1/8*v**2 + 2*v. Find i such that f(i) = 0.
-1, 1
Solve 9/2*v**4 + 6*v**3 + 0*v + 0 + 2*v**2 = 0.
-2/3, 0
Let j(s) = s**2 - 3*s - 14. Let x be j(6). Let m be x/10 - 4/10. What is w in m*w**3 + 0 + 0*w - 2/5*w**4 + 2/5*w**2 = 0?
-1, 0, 1
Let j(k) be the second derivative of k**5/10 + k**4/3 - k**3 + 5*k. Suppose j(g) = 0. Calculate g.
-3, 0, 1
Let k(i) be the first derivative of 2*i**3/39 - 3*i**2/13 + 4*i/13 + 1. Determine f, given that k(f) = 0.
1, 2
Suppose -7/2*l - 1/2*l**4 - 9/2*l**2 - 5/2*l**3 - 1 = 0. Calculate l.
-2, -1
Let p(m) = -32*m**2 - 120*m - 257. Let a(g) = 11*g**2 + 40*g + 86. Let b(d) = 17*a(d) + 6*p(d). Solve b(k) = 0.
-4
Suppose -5*a + 10 = 0, c - 2*a + 14 = 3*c. Suppose -2*l**c + 8*l**3 + 3*l - 14*l**3 - l**5 + 6*l**5 = 0. Calculate l.
-1, 0, 1
Let b(r) be the first derivative of 1/3*r**2 - 2 + 1/6*r**4 + 0*r + 4/9*r**3. Factor b(s).
2*s*(s + 1)**2/3
Let b(i) be the third derivative of -i**5/390 + 4*i**3/39 + 2*i**2 - 30. Factor b(c).
-2*(c - 2)*(c + 2)/13
Let p(d) = -d + 1. Let g be p(-2). Determine h so that 2*h**2 + 2*h**g - 3*h**3 + 9*h**3 = 0.
-1/4, 0
Find h such that -1/2*h**2 - 169/2 + 13*h = 0.
13
Let a(o) be the first derivative of -o**9/756 + o**8/210 - o**6/45 + o**5/30 - 7*o**3/3 + 4. Let l(b) be the third derivative of a(b). Factor l(x).
-4*x*(x - 1)**3*(x + 1)
Determine v so that 6*v**4 - 204*v**2 - 11 - 34*v - 126*v**3 + 21*v**5 - 7 - 77*v = 0.
-1, -2/7, 3
Let m be (-36)/(-15) - 4/10. Factor m*o**5 + 2*o**3 + 2*o**3 - 2*o - 4*o - 6*o**4 + 4*o**2 + 2.
2*(o - 1)**4*(o + 1)
Let u be 2/(-11) + (-100)/(-66). Let k(i) be the first derivative of -3/4*i**4 + 3 + u*i**3 + 1/2*i - 9/10*i**5 + 3/2*i**2. Solve k(r) = 0.
-1, -1/3, 1
Let r be (-1)/(-10) - (-1 + 3/5). Let t(q) be the first derivative of 0*q - 1/3*q**6 + 2 + 0*q**2 + 0*q**3 + 0*q**5 + r*q**4. Factor t(x).
-2*x**3*(x - 1)*(x + 1)
Let a(n) be the third derivative of 2*n**2 + 0*n**3 - 1/60*n**5 + 1/210*n**7 - 1/120*n**6 + 1/336*n**8 + 0*n + 0*n**4 + 0. Find s, given that a(s) = 0.
-1, 0, 1
Let h(f) = f**3 - f**2. Let k(b) = -b**2 + b. Let r(m) = 4*h(m) - k(m). Determine l, given that r(l) = 0.
-1/4, 0, 1
Let r(n) be the first derivative of -14*n**3/51 + 5*n**2/17 + 4*n/17 + 5. Factor r(l).
-2*(l - 1)*(7*l + 2)/17
Let t(m) be the third derivative of -3/100*m**6 - 4/525*m**7 + 0 - 1/60*m**4 - 3*m**2 + 0*m**3 + 0*m - 1/25*m**5. Determine p, given that t(p) = 0.
-1, -1/4, 0
Factor 1/9*w**2 + 1/9*w - 1/9 - 1/9*w**3.
-(w - 1)**2*(w + 1)/9
Let t(h) = -2*h - 6. Let m be t(-3). Let z(u) be the third derivative of m - 1/84*u**4 - 1/21*u**3 + 1/420*u**6 + 0*u - u**2 + 1/210*u**5. Factor z(n).
2*(n - 1)*(n + 1)**2/7
Factor 8/5*n**2 - 28/5*n + 4/5*n**3 + 16/5.
4*(n - 1)**2*(n + 4)/5
Factor 4/5 + 1/5*l**4 - 2/5*l**3 + 4/5*l - 3/5*l**2.
(l - 2)**2*(l + 1)**2/5
Factor 13/2*r + 2 - 7/4*r**2.
-(r - 4)*(7*r + 2)/4
Let y(g) be the first derivative of g**3/5 + 11*g**2/5 + 7*g/5 - 43. Factor y(w).
(w + 7)*(3*w + 1)/5
Let k(l) be the first derivative of 0*l**2 + 0*l - 7/2*l**4 - 3 + 4/3*l**3. Determine q, given that k(q) = 0.
0, 2/7
Let g be 7/21 + (-22)/(-6). Let p(c) be the third derivative of -1/27*c**3 + 0 + 1/270*c**5 + 0*c**g + 2*c**2 + 0*c. Solve p(f) = 0.
-1, 1
Let i(s) be the second derivative of 5*s**7/42 + s**6/18 - s**5/2 - 5*s**4/18 + 5*s**3/6 + 5*s**2/6 + 4*s. Determine m, given that i(m) = 0.
-1, -1/3, 1
Let w be ((-8)/(-32) - 33/(-12)) + -3. Factor -5/4*k**3 + w + 1/2*k**2 + 0*k.
-k**2*(5*k - 2)/4
Suppose 3 = -f + 5. Suppose f*g = g + 3. Find b such that 0*b**3 + 3*b**2 + 3*b - 3*b**4 + b**g - 4*b**3 = 0.
-1, 0, 1
Let z(n) be the second derivative of -2*n**7/21 + 7*n**6/15 - 73*n**5/80 + 43*n**4/48 - 11*n**3/24 + n**2/8 - 12*n. Factor z(c).
-(c - 1)**3*(4*c - 1)**2/4
Factor 0*a + 0 + 9/5*a**4 + 3/5*a**5 + 9/5*a**3 + 3/5*a**2.
3*a**2*(a + 1)**3/5
Suppose 17 = 5*r - 3. Suppose f = -r*f. Solve 2/7 - 2/7*u**2 + f*u = 0 for u.
-1, 1
Let j = 293/2 - 145. Let v(s) be the first derivative of 4 - j*s**4 + 3*s**2 - 4/3*s**3 + 4*s. Suppose v(x) = 0. What is x?
-1, -2/3, 1
Let w(k) be the first derivative of -k**7/1260 + k**6/720 - k**2/2 + 1. Let f(z) be the second derivative of w(z). Solve f(m) = 0 for m.
0, 1
Let i(c) be the third derivative of c**8/504 - c**7/45 + 7*c**6/240 + 11*c**5/180 - 25*c**4/144 + c**3/6 - 21*c**2. Find n such that i(n) = 0.
-1, 1/2, 1, 6
Let u be 0/1 + (-60)/(-15). Suppose 0 = u*y + r - 3 - 14, 0 = y + 3*r + 4. Factor -7/4*k**y - 4*k**4 + 0*k - 11/4*k**3 - 1/2*k**2 + 0.
-k**2*(k + 1)**2*(7*k + 2)/4
What is v in -8/21*v + 2/21*v**3 + 8/7 - 2/7*v**2 = 0?
-2, 2, 3
Let x(i) be the first derivative of i**5/35 + i**4/7 + 5*i**3/21 + i**2/7 + 10. Factor x(d).
d*(d + 1)**2*(d + 2)/7
Find a, given that 0 + 1/2*a**2 - 1/2*a**3 + a = 0.
-1, 0, 2
Let u(f) = 11*f - 174. Let s be u(16). Factor 0*k + 1/5*k**s + 0 - 4/5*k**3 + 3/5*k**4.
k**2*(k - 1)*(3*k - 1