- 20*h. Let o(b) = 0. What is b?
-3, -1
Suppose k = 2*k. Suppose k = 3*u - 5*t - 25, -2*u + 1 = t - 7. Find s, given that 39*s**5 - 33*s**5 - u*s**4 + s**2 - s**3 - s**3 = 0.
-1/2, 0, 1/3, 1
Suppose -2*l = d - 4, 0*l = -l + d + 2. Let -1 + 17*m - m + 20*m**l - 3 = 0. What is m?
-1, 1/5
Let z(k) be the first derivative of -4*k**5/5 + 17*k**4 - 400*k**3/3 + 456*k**2 - 576*k - 257. Factor z(f).
-4*(f - 6)**2*(f - 4)*(f - 1)
Factor 19881 - 14*l - 5*l**2 + 163*l + 26*l + 107*l + 6*l**2.
(l + 141)**2
Let s(l) = 5*l**2 + 3*l - 8. Let c(d) = -6*d**2 - 4*d + 8. Let t(x) = -3*c(x) - 4*s(x). Factor t(h).
-2*(h - 2)*(h + 2)
Suppose -19*t = -4*v - 24*t + 10, 0 = 2*v + 5*t - 10. Solve -2/11*u**3 + 0*u + 0*u**2 + 2/11*u**5 + 0*u**4 + v = 0 for u.
-1, 0, 1
Let h be 6/4 + (-14)/4. Let b be 3/(-1 + (h - -4)). Factor 2*s**2 - 3*s + 5 - b*s**2 - 7.
-(s + 1)*(s + 2)
Let t(x) be the second derivative of -x**7/10080 + x**5/480 + x**4/3 + 5*x**3/6 + 13*x. Let w(k) be the third derivative of t(k). Factor w(o).
-(o - 1)*(o + 1)/4
Let q be 44/24 + (-16)/16. Factor -3 + 1/6*v**2 + 7/2*v - q*v**3 + 1/6*v**4.
(v - 3)**2*(v - 1)*(v + 2)/6
Let f(a) be the second derivative of 31*a**4/8 - 29*a**3/4 - 3*a**2/2 - 148*a. Factor f(l).
3*(l - 1)*(31*l + 2)/2
Let i(l) = -9*l + 51. Let m be i(-15). Let z = m - 186. Suppose z + 0*x + 2/5*x**3 - 2/5*x**4 + 0*x**2 = 0. Calculate x.
0, 1
Factor 12*v - 2/3 + 38/3*v**2.
2*(v + 1)*(19*v - 1)/3
Suppose 0 = 29*t - 24*t. Suppose 9*v - 5*v - 16 = t. Determine w, given that 4*w + 0*w**2 - 74*w**4 - 4*w**3 - 6*w**2 + 80*w**v = 0.
-1, 0, 2/3, 1
Let a(m) = -m**3 + 11*m**2 + m - 11. Let w = 24 - 13. Let c be a(w). Let c*p**3 + 2/3*p**2 - 1/3*p**4 + 0*p - 1/3 = 0. What is p?
-1, 1
Let y = -1960 + 1963. Factor -1/2*r**5 - 5*r**y + 1/2 + 5*r**2 - 5/2*r + 5/2*r**4.
-(r - 1)**5/2
Let x(v) be the third derivative of -v**8/280 - v**7/350 + 3*v**6/200 + v**5/100 - v**4/40 + 355*v**2 - 2*v. Find z such that x(z) = 0.
-1, 0, 1/2, 1
Let b(y) = 7*y**2 + 22*y + 45. Let c(a) = -22*a**2 - 64*a - 134. Let l(w) = -10*b(w) - 3*c(w). Let l(u) = 0. What is u?
-4, -3
Let k be ((-2)/(-4))/(-2 - 51/(-24)). Solve -16 - 12*u**k + 4*u**4 + 2*u**5 + 0*u**3 + 2*u**3 - 8*u + 19*u**2 + u**2 = 0 for u.
-1, 2
Let g = -62 + 63. Let t(r) = r**3 - r**2 - r + 1. Let a(c) = -15*c**3 + 63*c**2 + 60*c - 18. Let x(z) = g*a(z) - 6*t(z). Factor x(p).
-3*(p - 4)*(p + 1)*(7*p - 2)
Let p be 4/10 - (-812)/70. Find m such that 14 - 20*m - 1 + p - 5 + 5*m**2 = 0.
2
Factor 1/2*v**3 + 4*v + 5/2*v**2 + 2.
(v + 1)*(v + 2)**2/2
Let y(x) be the first derivative of -x**5/240 + 3*x**2/2 - 11. Let f(m) be the second derivative of y(m). Determine r, given that f(r) = 0.
0
Suppose -21*f - 18 = -18. Let i(r) be the third derivative of 1/30*r**4 + 0*r**3 - 4*r**2 + 0*r + f + 1/150*r**5. What is t in i(t) = 0?
-2, 0
Let d be 2 - (2 + (-448)/(-44)). Let a = -740/77 - d. Solve a*r + 26/7*r**3 + 8/7*r**4 + 22/7*r**2 + 0 = 0.
-2, -1, -1/4, 0
Let r(k) = -k**3 - 3. Let n(q) = -304*q**3 + 516*q**2 - 280*q + 54. Let j(t) = -2*n(t) - 4*r(t). Factor j(s).
4*(3*s - 2)**2*(17*s - 6)
Find w, given that -3/7*w**2 + 162/7 - 75/7*w = 0.
-27, 2
Factor 2*n**2 - 7*n + 2*n**2 + 5*n + n - 3*n**3.
-n*(n - 1)*(3*n - 1)
Solve -23 + 2*r**5 + 60*r + 28*r**2 - 7*r**5 - 100*r**3 + 3 + 15*r**4 - 83*r**2 + 105*r**3 = 0.
-2, 1, 2
Let o(w) be the first derivative of -4*w**3/3 + 60*w**2 - 900*w + 39. Solve o(s) = 0.
15
Suppose -9*x = -6176 + 6158. Factor 8/5*t**3 + 2/5*t**4 + 4/5*t + x*t**2 + 0.
2*t*(t + 1)**2*(t + 2)/5
Let h(d) be the second derivative of -d**7/210 - 9*d**6/50 - 119*d**5/50 - 127*d**4/10 - 913*d**3/30 - 363*d**2/10 + 15*d - 1. Solve h(s) = 0.
-11, -3, -1
Let b(h) be the second derivative of 1/150*h**6 + 1/30*h**4 + 3/100*h**5 + 0*h**3 + 0 + 0*h**2 - 7*h. Factor b(q).
q**2*(q + 1)*(q + 2)/5
Let c be (-512)/896 + 37/28. Suppose -c - 1/4*d**2 + 1/4*d**3 - 5/4*d = 0. What is d?
-1, 3
Let y(p) be the second derivative of -5*p + 0 + 9/140*p**5 + 0*p**2 + 0*p**3 - 1/28*p**4 + 1/98*p**7 - 3/70*p**6. Factor y(l).
3*l**2*(l - 1)**3/7
Let t(z) be the first derivative of -28/15*z - 2/45*z**3 + 46 - z**2. Let t(a) = 0. Calculate a.
-14, -1
Let g = 64 - 61. Determine p so that -4 + 22*p - 72*p**2 + 6*p**g + 2*p**3 + 46*p**2 = 0.
1/4, 1, 2
Suppose -8*b + 34 - 10 = 0. Suppose 1/3*d**b + 3 + 7/3*d**2 + 5*d = 0. Calculate d.
-3, -1
Let a(m) be the first derivative of 9*m**7/280 - 3*m**6/20 + 3*m**5/10 - m**4/3 - 2*m**3 + 6. Let f(z) be the third derivative of a(z). Factor f(r).
(3*r - 2)**3
Let q(n) = -n**5 + n**3 - n**2 + n + 1. Let o(k) = -k**5 - 8*k**4 + 4*k**3 + 10*k**2 - 5*k - 2. Let h(i) = o(i) + 2*q(i). Find j such that h(j) = 0.
-3, -1, 0, 1/3, 1
Suppose -18 + 6 = -6*c. Solve -232*r**3 - 940 + 230*r**3 + 254 - 294*r - 42*r**c = 0.
-7
Let u(z) be the first derivative of z**3/3 + z**2/2 - 5. Let v(c) = -6*c**2 + c - 5. Let p(w) = -5*u(w) - v(w). Factor p(s).
(s - 5)*(s - 1)
Let v(q) be the first derivative of -5/4*q**4 + 5*q**3 - 15/2*q**2 - 8 + 5*q. Factor v(a).
-5*(a - 1)**3
Let v(x) be the second derivative of 529*x**4/6 - 92*x**3/3 + 4*x**2 + 10*x. Factor v(p).
2*(23*p - 2)**2
Let r(l) be the first derivative of -l**4/2 + 8*l**3 - 98. Factor r(k).
-2*k**2*(k - 12)
Let n(u) be the second derivative of 1/36*u**4 + 0 + 0*u**5 + 0*u**2 + 0*u**3 - 1/90*u**6 + 19*u. Let n(g) = 0. What is g?
-1, 0, 1
Let u = 269 - 186. Determine w, given that 3*w**2 - u*w - 3*w**4 + 83*w = 0.
-1, 0, 1
Let u(m) = -m**2 - 9*m + 2. Let r be u(-9). Let q be 14/14 - r/4. Factor 7/4*n**2 + n**3 - 1/4 + q*n.
(n + 1)**2*(4*n - 1)/4
Factor 1/2*d**5 + 968 + 2203/2*d**3 + 91/2*d**4 + 2948*d + 6073/2*d**2.
(d + 1)**3*(d + 44)**2/2
Let r = -4720 + 4724. Factor -2/9*p + 4/9*p**r + 10/9*p**3 - 2/9 + 2/3*p**2.
2*(p + 1)**3*(2*p - 1)/9
Let m = 1/8222 - -4109/16444. Factor 0 + 0*v - 1/4*v**4 + 1/2*v**2 + m*v**3.
-v**2*(v - 2)*(v + 1)/4
Find l such that -2*l**4 - 122/9*l**2 - 56/9*l - 28/3*l**3 - 8/9 = 0.
-2, -1/3
Suppose 16/7*c**4 + 20/7*c**3 - 48/7*c + 0 - 188/7*c**2 = 0. What is c?
-4, -1/4, 0, 3
Factor -4*m**2 - 60*m + 0*m**2 + 103*m - 187*m.
-4*m*(m + 36)
Let c be (575/(-15))/(2/3). Let m = c + 58. Find i, given that -i**3 - m*i**2 + 5/4*i + i**4 - 1/2 - 1/4*i**5 = 0.
-1, 1, 2
Factor 50*m + 93 - 157 + 60*m**2 - 32*m**3 + 4*m**4 - 18*m.
4*(m - 4)**2*(m - 1)*(m + 1)
Let z(l) be the first derivative of -l**4/12 - l**3/3 - l**2/2 + 10*l + 10. Let d(r) be the first derivative of z(r). Factor d(s).
-(s + 1)**2
Determine v, given that -1/3*v**2 - 1/3*v**5 + 7/3*v**3 + 0 + 1/3*v**4 - 2*v = 0.
-2, -1, 0, 1, 3
Let w = 1012 + -1005. Let o(k) be the third derivative of 0 + 0*k**6 + 0*k**4 - k**2 + 1/510*k**5 + 0*k + 0*k**3 - 1/1785*k**w. Suppose o(u) = 0. What is u?
-1, 0, 1
Let i(k) be the second derivative of k**7/126 - k**5/18 + 5*k**3/18 - 5*k**2 + 12*k. Let m(w) be the first derivative of i(w). Factor m(q).
5*(q - 1)**2*(q + 1)**2/3
Let u(q) be the first derivative of 9 - 2/3*q**3 - 1/360*q**5 - 1/36*q**4 + 1/1080*q**6 + 0*q**2 + 0*q. Let d(r) be the third derivative of u(r). Factor d(p).
(p - 2)*(p + 1)/3
Let m(r) = -2*r - 21. Let y(g) = 2*g + 20. Let a(w) = -5*m(w) - 6*y(w). Let t be a(-9). Determine i, given that 0 - 1/2*i**t + i - 1/2*i**2 = 0.
-2, 0, 1
Let l = -259 - -263. Let p(k) be the first derivative of 1/10*k**5 - 4 - 3/4*k**2 + 1/6*k**3 - k + 3/8*k**l. Factor p(a).
(a - 1)*(a + 1)**2*(a + 2)/2
Let a(m) be the second derivative of -m**5/20 - m**4/12 - m**2/2 + 43*m. Let s(v) = 4*v**3 + v**2 - 4*v + 11. Let j(n) = 3*a(n) + s(n). Let j(p) = 0. What is p?
-2, 2
Let o = 68 - 60. Suppose 5*b - o*b = -4*i - 26, -b + 12 = -2*i. Determine v, given that -4/7 - 6/7*v + 4/7*v**b = 0.
-1/2, 2
Let a(b) be the third derivative of -b**9/83160 + 11*b**4/8 + 25*b**2. Let t(d) be the second derivative of a(d). Factor t(g).
-2*g**4/11
Solve -12/7*q - 6/7*q**4 - 6/7*q**5 + 18/7*q**3 + 0 + 6/7*q**2 = 0 for q.
-2, -1, 0, 1
Let a be (5*-3)/(-1 + 0). Suppose 5*y = 10*y + a. Let n(u) = 4*u**3 + 6*u. Let l(j) = -j**3 - 2*j. Let p(i) = y*n(i) - 10*l(i). Factor p(z).
-2*z*(z - 1)*(z + 1)
Let t be 34/14 + (-195)/455. Solve 1/3*v**t + 1 + 4/3*v = 0.
-3, -1
Let f(l) = -6*l - 4. Let s be f(-1). Solve 2*d + 2 - s*d**2 - 5 + 7 = 0.
-1, 2
Let o(v) be the second derivative of -v**7/42 - v**6/10 